id	sid	tid	token	lemma	pos
ap-1866	1	1	acta	acta	PROPN
ap-1866	1	2	polytechnica	polytechnica	PROPN
ap-1866	1	3	doi:10.14311	doi:10.14311	PROPN
ap-1866	1	4	/	/	SYM
ap-1866	1	5	ap.2013.53.0473	ap.2013.53.0473	PROPN
ap-1866	1	6	acta	acta	PROPN
ap-1866	1	7	polytechnica	polytechnica	PROPN
ap-1866	1	8	53(5):473–482	53(5):473–482	PROPN
ap-1866	1	9	,	,	PUNCT
ap-1866	1	10	2013	2013	NUM
ap-1866	1	11	©	©	PROPN
ap-1866	1	12	czech	czech	PROPN
ap-1866	1	13	technical	technical	PROPN
ap-1866	1	14	university	university	PROPN
ap-1866	1	15	in	in	ADP
ap-1866	1	16	prague	prague	PROPN
ap-1866	1	17	,	,	PUNCT
ap-1866	1	18	2013	2013	NUM
ap-1866	1	19	available	available	ADJ
ap-1866	1	20	online	online	ADV
ap-1866	1	21	at	at	ADP
ap-1866	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-1866	1	23	new	new	ADJ
ap-1866	1	24	concept	concept	NOUN
ap-1866	1	25	of	of	ADP
ap-1866	1	26	solvability	solvability	NOUN
ap-1866	1	27	in	in	ADP
ap-1866	1	28	quantum	quantum	ADJ
ap-1866	1	29	mechanics	mechanic	NOUN
ap-1866	1	30	miloslav	miloslav	NOUN
ap-1866	1	31	znojil∗	znojil∗	PROPN
ap-1866	1	32	nuclear	nuclear	PROPN
ap-1866	1	33	physics	physics	PROPN
ap-1866	1	34	institute	institute	PROPN
ap-1866	1	35	ascr	ascr	NOUN
ap-1866	1	36	,	,	PUNCT
ap-1866	1	37	hlavní	hlavní	VERB
ap-1866	1	38	130	130	NUM
ap-1866	1	39	,	,	PUNCT
ap-1866	1	40	250	250	NUM
ap-1866	1	41	68	68	NUM
ap-1866	1	42	husinec	husinec	PROPN
ap-1866	1	43	–	–	PUNCT
ap-1866	1	44	řež	řež	PROPN
ap-1866	1	45	,	,	PUNCT
ap-1866	1	46	czech	czech	PROPN
ap-1866	1	47	republic	republic	NOUN
ap-1866	1	48	∗	∗	NOUN
ap-1866	1	49	corresponding	correspond	VERB
ap-1866	1	50	author	author	NOUN
ap-1866	1	51	:	:	PUNCT
ap-1866	1	52	znojil@ujf.cas.cz	znojil@ujf.cas.cz	NOUN
ap-1866	1	53	abstract	abstract	ADJ
ap-1866	1	54	.	.	PUNCT
ap-1866	2	1	in	in	ADP
ap-1866	2	2	quite	quite	DET
ap-1866	2	3	a	a	DET
ap-1866	2	4	few	few	ADJ
ap-1866	2	5	recent	recent	ADJ
ap-1866	2	6	quantum	quantum	NOUN
ap-1866	2	7	models	model	NOUN
ap-1866	2	8	one	one	PRON
ap-1866	2	9	is	be	AUX
ap-1866	2	10	allowed	allow	VERB
ap-1866	2	11	to	to	PART
ap-1866	2	12	make	make	VERB
ap-1866	2	13	a	a	DET
ap-1866	2	14	given	give	VERB
ap-1866	2	15	hamiltonian	hamiltonian	ADJ
ap-1866	2	16	h	h	NOUN
ap-1866	2	17	self	self	NOUN
ap-1866	2	18	-	-	PUNCT
ap-1866	2	19	adjoint	adjoint	NOUN
ap-1866	2	20	only	only	ADV
ap-1866	2	21	after	after	ADP
ap-1866	2	22	an	an	DET
ap-1866	2	23	ad	ad	X
ap-1866	2	24	hoc	hoc	X
ap-1866	2	25	generalization	generalization	NOUN
ap-1866	2	26	of	of	ADP
ap-1866	2	27	hermitian	hermitian	ADJ
ap-1866	2	28	conjugation	conjugation	NOUN
ap-1866	2	29	,	,	PUNCT
ap-1866	2	30	h†	h†	PROPN
ap-1866	2	31	→	→	SYM
ap-1866	2	32	h‡	h‡	VERB
ap-1866	2	33	:	:	PUNCT
ap-1866	2	34	=	=	SYM
ap-1866	2	35	θ−1h†θ	θ−1h†θ	NOUN
ap-1866	2	36	where	where	SCONJ
ap-1866	2	37	the	the	DET
ap-1866	2	38	suitable	suitable	ADJ
ap-1866	2	39	operator	operator	NOUN
ap-1866	2	40	θ	θ	PROPN
ap-1866	2	41	is	be	AUX
ap-1866	2	42	called	call	VERB
ap-1866	2	43	hilbert	hilbert	NOUN
ap-1866	2	44	-	-	PUNCT
ap-1866	2	45	space	space	NOUN
ap-1866	2	46	metric	metric	NOUN
ap-1866	2	47	.	.	PUNCT
ap-1866	3	1	in	in	ADP
ap-1866	3	2	the	the	DET
ap-1866	3	3	generalized	generalize	VERB
ap-1866	3	4	,	,	PUNCT
ap-1866	3	5	hidden	hide	VERB
ap-1866	3	6	-	-	PUNCT
ap-1866	3	7	hermiticity	hermiticity	NOUN
ap-1866	3	8	scenario	scenario	NOUN
ap-1866	3	9	with	with	ADP
ap-1866	3	10	nontrivial	nontrivial	ADJ
ap-1866	3	11	metric	metric	ADJ
ap-1866	3	12	θ	θ	PROPN
ap-1866	3	13	6=	6=	PROPN
ap-1866	3	14	i	i	PRON
ap-1866	3	15	the	the	DET
ap-1866	3	16	current	current	ADJ
ap-1866	3	17	concept	concept	NOUN
ap-1866	3	18	of	of	ADP
ap-1866	3	19	solvability	solvability	NOUN
ap-1866	3	20	(	(	PUNCT
ap-1866	3	21	meaning	meaning	NOUN
ap-1866	3	22	,	,	PUNCT
ap-1866	3	23	most	most	ADV
ap-1866	3	24	often	often	ADV
ap-1866	3	25	,	,	PUNCT
ap-1866	3	26	the	the	DET
ap-1866	3	27	feasibility	feasibility	NOUN
ap-1866	3	28	of	of	ADP
ap-1866	3	29	a	a	DET
ap-1866	3	30	non	non	ADJ
ap-1866	3	31	-	-	ADJ
ap-1866	3	32	numerical	numerical	ADJ
ap-1866	3	33	diagonalization	diagonalization	NOUN
ap-1866	3	34	of	of	ADP
ap-1866	3	35	h	h	NOUN
ap-1866	3	36	)	)	PUNCT
ap-1866	3	37	requires	require	VERB
ap-1866	3	38	a	a	DET
ap-1866	3	39	generalization	generalization	NOUN
ap-1866	3	40	(	(	PUNCT
ap-1866	3	41	allowing	allow	VERB
ap-1866	3	42	for	for	ADP
ap-1866	3	43	a	a	DET
ap-1866	3	44	non	non	ADJ
ap-1866	3	45	-	-	ADJ
ap-1866	3	46	numerical	numerical	ADJ
ap-1866	3	47	tractability	tractability	NOUN
ap-1866	3	48	of	of	ADP
ap-1866	3	49	θ	θ	PROPN
ap-1866	3	50	)	)	PUNCT
ap-1866	3	51	.	.	PUNCT
ap-1866	4	1	a	a	DET
ap-1866	4	2	few	few	ADJ
ap-1866	4	3	very	very	ADV
ap-1866	4	4	elementary	elementary	ADJ
ap-1866	4	5	samples	sample	NOUN
ap-1866	4	6	of	of	ADP
ap-1866	4	7	“	"	PUNCT
ap-1866	4	8	solvable	solvable	ADJ
ap-1866	4	9	”	"	PUNCT
ap-1866	4	10	quantum	quantum	NOUN
ap-1866	4	11	models	model	NOUN
ap-1866	4	12	of	of	ADP
ap-1866	4	13	this	this	DET
ap-1866	4	14	new	new	ADJ
ap-1866	4	15	type	type	NOUN
ap-1866	4	16	are	be	AUX
ap-1866	4	17	presented	present	VERB
ap-1866	4	18	.	.	PUNCT
ap-1866	5	1	keywords	keyword	NOUN
ap-1866	5	2	:	:	PUNCT
ap-1866	5	3	quantum	quantum	ADJ
ap-1866	5	4	hamiltonians	hamiltonian	NOUN
ap-1866	5	5	,	,	PUNCT
ap-1866	5	6	hilbert	hilbert	NOUN
ap-1866	5	7	-	-	PUNCT
ap-1866	5	8	space	space	NOUN
ap-1866	5	9	metrics	metric	NOUN
ap-1866	5	10	,	,	PUNCT
ap-1866	5	11	solvable	solvable	ADJ
ap-1866	5	12	models	model	NOUN
ap-1866	5	13	.	.	PUNCT
ap-1866	6	1	submitted	submit	VERB
ap-1866	6	2	:	:	PUNCT
ap-1866	6	3	15	15	NUM
ap-1866	6	4	february	february	NOUN
ap-1866	6	5	2013	2013	NUM
ap-1866	6	6	.	.	PUNCT
ap-1866	7	1	accepted	accept	VERB
ap-1866	7	2	:	:	PUNCT
ap-1866	7	3	12	12	NUM
ap-1866	7	4	april	april	PROPN
ap-1866	7	5	2013	2013	NUM
ap-1866	7	6	.	.	PUNCT
ap-1866	8	1	1	1	X
ap-1866	8	2	.	.	X
ap-1866	8	3	introduction	introduction	NOUN
ap-1866	8	4	in	in	ADP
ap-1866	8	5	a	a	DET
ap-1866	8	6	pre	pre	ADJ
ap-1866	8	7	-	-	ADJ
ap-1866	8	8	selected	select	VERB
ap-1866	8	9	hilbert	hilbert	NOUN
ap-1866	8	10	space	space	NOUN
ap-1866	8	11	h	h	PROPN
ap-1866	8	12	of	of	ADP
ap-1866	8	13	states	state	NOUN
ap-1866	8	14	|ψ	|ψ	VERB
ap-1866	8	15	〉	〉	NUM
ap-1866	8	16	∈	∈	PROPN
ap-1866	8	17	h	h	NOUN
ap-1866	8	18	the	the	DET
ap-1866	8	19	unitarity	unitarity	NOUN
ap-1866	8	20	of	of	ADP
ap-1866	8	21	the	the	DET
ap-1866	8	22	time	time	NOUN
ap-1866	8	23	evolution	evolution	NOUN
ap-1866	8	24	of	of	ADP
ap-1866	8	25	a	a	DET
ap-1866	8	26	quantum	quantum	ADJ
ap-1866	8	27	system	system	NOUN
ap-1866	8	28	s	s	VERB
ap-1866	8	29	is	be	AUX
ap-1866	8	30	usually	usually	ADV
ap-1866	8	31	guaranteed	guarantee	VERB
ap-1866	8	32	via	via	ADP
ap-1866	8	33	a	a	DET
ap-1866	8	34	pre	pre	NOUN
ap-1866	8	35	-	-	NOUN
ap-1866	8	36	selection	selection	NOUN
ap-1866	8	37	of	of	ADP
ap-1866	8	38	the	the	DET
ap-1866	8	39	generator	generator	NOUN
ap-1866	8	40	(	(	PUNCT
ap-1866	8	41	i.e.	i.e.	X
ap-1866	8	42	,	,	PUNCT
ap-1866	8	43	of	of	ADP
ap-1866	8	44	the	the	DET
ap-1866	8	45	hamiltonian	hamiltonian	ADJ
ap-1866	8	46	operator	operator	NOUN
ap-1866	8	47	h	h	NOUN
ap-1866	8	48	)	)	PUNCT
ap-1866	8	49	in	in	ADP
ap-1866	8	50	self	self	NOUN
ap-1866	8	51	-	-	PUNCT
ap-1866	8	52	adjoint	adjoint	NOUN
ap-1866	8	53	form	form	NOUN
ap-1866	8	54	,	,	PUNCT
ap-1866	9	1	h	h	NOUN
ap-1866	9	2	=	=	NOUN
ap-1866	9	3	h†.	h†.	PROPN
ap-1866	9	4	it	it	PRON
ap-1866	9	5	is	be	AUX
ap-1866	9	6	obvious	obvious	ADJ
ap-1866	9	7	that	that	SCONJ
ap-1866	9	8	the	the	DET
ap-1866	9	9	simultaneous	simultaneous	ADJ
ap-1866	9	10	use	use	NOUN
ap-1866	9	11	of	of	ADP
ap-1866	9	12	both	both	PRON
ap-1866	9	13	of	of	ADP
ap-1866	9	14	these	these	DET
ap-1866	9	15	pre	pre	NOUN
ap-1866	9	16	-	-	NOUN
ap-1866	9	17	selections	selection	NOUN
ap-1866	9	18	is	be	AUX
ap-1866	9	19	over	over	ADV
ap-1866	9	20	-	-	PUNCT
ap-1866	9	21	restrictive	restrictive	ADJ
ap-1866	9	22	.	.	PUNCT
ap-1866	10	1	in	in	ADP
ap-1866	10	2	spite	spite	NOUN
ap-1866	10	3	of	of	ADP
ap-1866	10	4	the	the	DET
ap-1866	10	5	rather	rather	ADV
ap-1866	10	6	trivial	trivial	ADJ
ap-1866	10	7	nature	nature	NOUN
ap-1866	10	8	of	of	ADP
ap-1866	10	9	such	such	DET
ap-1866	10	10	an	an	DET
ap-1866	10	11	observation	observation	NOUN
ap-1866	10	12	,	,	PUNCT
ap-1866	10	13	the	the	DET
ap-1866	10	14	practical	practical	ADJ
ap-1866	10	15	removal	removal	NOUN
ap-1866	10	16	of	of	ADP
ap-1866	10	17	this	this	DET
ap-1866	10	18	restriction	restriction	NOUN
ap-1866	10	19	has	have	AUX
ap-1866	10	20	always	always	ADV
ap-1866	10	21	been	be	AUX
ap-1866	10	22	obstructed	obstruct	VERB
ap-1866	10	23	by	by	ADP
ap-1866	10	24	mathematical	mathematical	ADJ
ap-1866	10	25	difficulties	difficulty	NOUN
ap-1866	10	26	.	.	PUNCT
ap-1866	11	1	in	in	ADP
ap-1866	11	2	our	our	PRON
ap-1866	11	3	present	present	ADJ
ap-1866	11	4	review	review	NOUN
ap-1866	11	5	-	-	PUNCT
ap-1866	11	6	like	like	ADJ
ap-1866	11	7	paper	paper	NOUN
ap-1866	11	8	we	we	PRON
ap-1866	11	9	intend	intend	VERB
ap-1866	11	10	to	to	PART
ap-1866	11	11	argue	argue	VERB
ap-1866	11	12	that	that	SCONJ
ap-1866	11	13	the	the	DET
ap-1866	11	14	introduction	introduction	NOUN
ap-1866	11	15	of	of	ADP
ap-1866	11	16	a	a	DET
ap-1866	11	17	new	new	ADJ
ap-1866	11	18	concept	concept	NOUN
ap-1866	11	19	of	of	ADP
ap-1866	11	20	solvability	solvability	NOUN
ap-1866	11	21	might	might	AUX
ap-1866	11	22	help	help	VERB
ap-1866	11	23	in	in	ADP
ap-1866	11	24	this	this	DET
ap-1866	11	25	respect	respect	NOUN
ap-1866	11	26	.	.	PUNCT
ap-1866	12	1	from	from	ADP
ap-1866	12	2	a	a	DET
ap-1866	12	3	purely	purely	ADV
ap-1866	12	4	pragmatic	pragmatic	ADJ
ap-1866	12	5	point	point	NOUN
ap-1866	12	6	of	of	ADP
ap-1866	12	7	view	view	NOUN
ap-1866	12	8	one	one	PRON
ap-1866	12	9	has	have	VERB
ap-1866	12	10	just	just	ADV
ap-1866	12	11	two	two	NUM
ap-1866	12	12	ways	way	NOUN
ap-1866	12	13	to	to	PART
ap-1866	12	14	seperate	seperate	VERB
ap-1866	12	15	the	the	DET
ap-1866	12	16	choice	choice	NOUN
ap-1866	12	17	of	of	ADP
ap-1866	12	18	the	the	DET
ap-1866	12	19	hilbert	hilbert	NOUN
ap-1866	12	20	space	space	NOUN
ap-1866	12	21	from	from	ADP
ap-1866	12	22	the	the	DET
ap-1866	12	23	choice	choice	NOUN
ap-1866	12	24	of	of	ADP
ap-1866	12	25	the	the	DET
ap-1866	12	26	generator	generator	NOUN
ap-1866	12	27	of	of	ADP
ap-1866	12	28	evolution	evolution	NOUN
ap-1866	12	29	.	.	PUNCT
ap-1866	13	1	in	in	ADP
ap-1866	13	2	the	the	DET
ap-1866	13	3	first	first	ADJ
ap-1866	13	4	case	case	NOUN
ap-1866	13	5	(=	(=	ADP
ap-1866	13	6	“	"	PUNCT
ap-1866	13	7	option	option	VERB
ap-1866	13	8	a	a	PRON
ap-1866	13	9	”	"	PUNCT
ap-1866	13	10	)	)	PUNCT
ap-1866	13	11	one	one	NUM
ap-1866	13	12	defines	define	VERB
ap-1866	13	13	the	the	DET
ap-1866	13	14	“	"	PUNCT
ap-1866	13	15	true	true	ADJ
ap-1866	13	16	”	"	PUNCT
ap-1866	13	17	generator	generator	NOUN
ap-1866	13	18	h	h	NOUN
ap-1866	13	19	as	as	ADP
ap-1866	13	20	acting	act	VERB
ap-1866	13	21	in	in	ADP
ap-1866	13	22	a	a	DET
ap-1866	13	23	“	"	PUNCT
ap-1866	13	24	false	false	ADJ
ap-1866	13	25	”	"	PUNCT
ap-1866	13	26	,	,	PUNCT
ap-1866	13	27	unphysical	unphysical	ADJ
ap-1866	13	28	hilbert	hilbert	NOUN
ap-1866	13	29	space	space	NOUN
ap-1866	13	30	h	h	NOUN
ap-1866	13	31	=	=	SYM
ap-1866	13	32	h(f	h(f	PROPN
ap-1866	13	33	)	)	PUNCT
ap-1866	13	34	(	(	PUNCT
ap-1866	13	35	following	follow	VERB
ap-1866	13	36	our	our	PRON
ap-1866	13	37	compact	compact	ADJ
ap-1866	13	38	review	review	NOUN
ap-1866	13	39	paper	paper	NOUN
ap-1866	13	40	[	[	X
ap-1866	13	41	1	1	X
ap-1866	13	42	]	]	PUNCT
ap-1866	13	43	the	the	DET
ap-1866	13	44	superscript	superscript	PROPN
ap-1866	13	45	(	(	PUNCT
ap-1866	13	46	f	f	X
ap-1866	13	47	)	)	PUNCT
ap-1866	13	48	abbreviates	abbreviate	VERB
ap-1866	13	49	the	the	DET
ap-1866	13	50	word	word	NOUN
ap-1866	13	51	“	"	PUNCT
ap-1866	13	52	friendly	friendly	ADJ
ap-1866	13	53	”	"	PUNCT
ap-1866	13	54	)	)	PUNCT
ap-1866	13	55	.	.	PUNCT
ap-1866	14	1	naturally	naturally	ADV
ap-1866	14	2	,	,	PUNCT
ap-1866	14	3	we	we	PRON
ap-1866	14	4	must	must	AUX
ap-1866	14	5	still	still	ADV
ap-1866	14	6	,	,	PUNCT
ap-1866	14	7	sooner	soon	ADV
ap-1866	14	8	or	or	CCONJ
ap-1866	14	9	later	later	ADV
ap-1866	14	10	,	,	PUNCT
ap-1866	14	11	reconstruct	reconstruct	VERB
ap-1866	14	12	the	the	DET
ap-1866	14	13	correct	correct	ADJ
ap-1866	14	14	physical	physical	ADJ
ap-1866	14	15	hilbert	hilbert	NOUN
ap-1866	14	16	space	space	NOUN
ap-1866	14	17	h(s	h(s	PROPN
ap-1866	14	18	)	)	PUNCT
ap-1866	14	19	in	in	ADP
ap-1866	14	20	which	which	PRON
ap-1866	14	21	h	h	NOUN
ap-1866	14	22	will	will	AUX
ap-1866	14	23	generate	generate	VERB
ap-1866	14	24	unitary	unitary	ADJ
ap-1866	14	25	evolution	evolution	NOUN
ap-1866	14	26	(	(	PUNCT
ap-1866	14	27	the	the	DET
ap-1866	14	28	superscript	superscript	PROPN
ap-1866	14	29	(	(	PUNCT
ap-1866	14	30	s	s	PROPN
ap-1866	14	31	)	)	PUNCT
ap-1866	14	32	stands	stand	VERB
ap-1866	14	33	here	here	ADV
ap-1866	14	34	for	for	ADP
ap-1866	14	35	“	"	PUNCT
ap-1866	14	36	standard	standard	NOUN
ap-1866	14	37	”	"	PUNCT
ap-1866	14	38	)	)	PUNCT
ap-1866	14	39	.	.	PUNCT
ap-1866	15	1	otherwise	otherwise	ADV
ap-1866	15	2	,	,	PUNCT
ap-1866	15	3	we	we	PRON
ap-1866	15	4	would	would	AUX
ap-1866	15	5	not	not	PART
ap-1866	15	6	be	be	AUX
ap-1866	15	7	able	able	ADJ
ap-1866	15	8	to	to	PART
ap-1866	15	9	make	make	VERB
ap-1866	15	10	any	any	DET
ap-1866	15	11	probabilistic	probabilistic	ADJ
ap-1866	15	12	predictions	prediction	NOUN
ap-1866	15	13	.	.	PUNCT
ap-1866	16	1	in	in	ADP
ap-1866	16	2	the	the	DET
ap-1866	16	3	second	second	ADJ
ap-1866	16	4	scenario	scenario	NOUN
ap-1866	16	5	(=	(=	NOUN
ap-1866	16	6	“	"	PUNCT
ap-1866	16	7	option	option	NOUN
ap-1866	16	8	b	b	NOUN
ap-1866	16	9	”	"	PUNCT
ap-1866	16	10	)	)	PUNCT
ap-1866	16	11	the	the	DET
ap-1866	16	12	initial	initial	ADJ
ap-1866	16	13	choice	choice	NOUN
ap-1866	16	14	of	of	ADP
ap-1866	16	15	a	a	DET
ap-1866	16	16	“	"	PUNCT
ap-1866	16	17	correct	correct	ADJ
ap-1866	16	18	”	"	PUNCT
ap-1866	16	19	hilbert	hilbert	NOUN
ap-1866	16	20	space	space	NOUN
ap-1866	16	21	h(p	h(p	PROPN
ap-1866	16	22	)	)	PUNCT
ap-1866	16	23	(	(	PUNCT
ap-1866	16	24	where	where	SCONJ
ap-1866	16	25	(	(	PUNCT
ap-1866	16	26	p	p	NOUN
ap-1866	16	27	)	)	PUNCT
ap-1866	16	28	abbreviates	abbreviate	VERB
ap-1866	16	29	“	"	PUNCT
ap-1866	16	30	physical	physical	ADJ
ap-1866	16	31	”	"	PUNCT
ap-1866	16	32	)	)	PUNCT
ap-1866	16	33	is	be	AUX
ap-1866	16	34	being	be	AUX
ap-1866	16	35	paralleled	parallel	VERB
ap-1866	16	36	by	by	ADP
ap-1866	16	37	our	our	PRON
ap-1866	16	38	input	input	NOUN
ap-1866	16	39	knowledge	knowledge	NOUN
ap-1866	16	40	of	of	ADP
ap-1866	16	41	an	an	DET
ap-1866	16	42	apparently	apparently	ADV
ap-1866	16	43	incorrect	incorrect	ADJ
ap-1866	16	44	hamiltonian	hamiltonian	ADJ
ap-1866	16	45	h	h	NOUN
ap-1866	16	46	which	which	PRON
ap-1866	16	47	is	be	AUX
ap-1866	16	48	,	,	PUNCT
ap-1866	16	49	typically	typically	ADV
ap-1866	16	50	,	,	PUNCT
ap-1866	16	51	defined	define	VERB
ap-1866	16	52	in	in	ADP
ap-1866	16	53	another	another	PRON
ap-1866	16	54	,	,	PUNCT
ap-1866	16	55	friendlier	friendly	ADJ
ap-1866	16	56	hilbert	hilbert	NOUN
ap-1866	16	57	space	space	NOUN
ap-1866	16	58	h(f	h(f	PROPN
ap-1866	16	59	)	)	PUNCT
ap-1866	16	60	6=	6=	ADP
ap-1866	16	61	h(p	h(p	NOUN
ap-1866	16	62	)	)	PUNCT
ap-1866	16	63	.	.	PUNCT
ap-1866	17	1	such	such	DET
ap-1866	17	2	a	a	DET
ap-1866	17	3	construction	construction	NOUN
ap-1866	17	4	of	of	ADP
ap-1866	17	5	the	the	DET
ap-1866	17	6	model	model	NOUN
ap-1866	17	7	appears	appear	VERB
ap-1866	17	8	in	in	ADP
ap-1866	17	9	fact	fact	NOUN
ap-1866	17	10	slightly	slightly	ADV
ap-1866	17	11	more	more	ADV
ap-1866	17	12	natural	natural	ADJ
ap-1866	17	13	.	.	PUNCT
ap-1866	18	1	indeed	indeed	ADV
ap-1866	18	2	,	,	PUNCT
ap-1866	18	3	in	in	ADP
ap-1866	18	4	the	the	DET
ap-1866	18	5	majority	majority	NOUN
ap-1866	18	6	of	of	ADP
ap-1866	18	7	textbooks	textbook	NOUN
ap-1866	18	8	one	one	PRON
ap-1866	18	9	really	really	ADV
ap-1866	18	10	starts	start	VERB
ap-1866	18	11	from	from	ADP
ap-1866	18	12	the	the	DET
ap-1866	18	13	very	very	ADV
ap-1866	18	14	initial	initial	ADJ
ap-1866	18	15	specification	specification	NOUN
ap-1866	18	16	of	of	ADP
ap-1866	18	17	the	the	DET
ap-1866	18	18	suitable	suitable	ADJ
ap-1866	18	19	physical	physical	ADJ
ap-1866	18	20	hilbert	hilbert	NOUN
ap-1866	18	21	space	space	NOUN
ap-1866	18	22	.	.	PUNCT
ap-1866	19	1	typically	typically	ADV
ap-1866	19	2	,	,	PUNCT
ap-1866	19	3	one	one	PRON
ap-1866	19	4	chooses	choose	VERB
ap-1866	19	5	h(p	h(p	NOUN
ap-1866	19	6	)	)	PUNCT
ap-1866	19	7	≡	≡	PROPN
ap-1866	19	8	l2(r	l2(r	PROPN
ap-1866	19	9	)	)	PUNCT
ap-1866	19	10	.	.	PUNCT
ap-1866	20	1	unfortunately	unfortunately	ADV
ap-1866	20	2	,	,	PUNCT
ap-1866	20	3	the	the	DET
ap-1866	20	4	unusual	unusual	ADJ
ap-1866	20	5	hamiltonian	hamiltonian	ADJ
ap-1866	20	6	h	h	NOUN
ap-1866	20	7	must	must	AUX
ap-1866	20	8	be	be	AUX
ap-1866	20	9	,	,	PUNCT
ap-1866	20	10	sooner	soon	ADV
ap-1866	20	11	or	or	CCONJ
ap-1866	20	12	later	later	ADV
ap-1866	20	13	,	,	PUNCT
ap-1866	20	14	also	also	ADV
ap-1866	20	15	be	be	AUX
ap-1866	20	16	mapped	map	VERB
ap-1866	20	17	from	from	ADP
ap-1866	20	18	its	its	PRON
ap-1866	20	19	native	native	ADJ
ap-1866	20	20	space	space	NOUN
ap-1866	20	21	h(f	h(f	NOUN
ap-1866	20	22	)	)	PUNCT
ap-1866	20	23	into	into	ADP
ap-1866	20	24	its	its	PRON
ap-1866	20	25	interpretation	interpretation	NOUN
ap-1866	20	26	-	-	PUNCT
ap-1866	20	27	carrying	carry	VERB
ap-1866	20	28	alternative	alternative	ADJ
ap-1866	20	29	h(p	h(p	NOUN
ap-1866	20	30	)	)	PUNCT
ap-1866	20	31	.	.	PUNCT
ap-1866	21	1	practical	practical	ADJ
ap-1866	21	2	merits	merit	NOUN
ap-1866	21	3	of	of	ADP
ap-1866	21	4	the	the	DET
ap-1866	21	5	constructive	constructive	ADJ
ap-1866	21	6	and	and	CCONJ
ap-1866	21	7	invertible	invertible	ADJ
ap-1866	21	8	“	"	PUNCT
ap-1866	21	9	option	option	NOUN
ap-1866	21	10	-	-	PUNCT
ap-1866	21	11	b	b	NOUN
ap-1866	21	12	”	"	PUNCT
ap-1866	21	13	transitions	transition	NOUN
ap-1866	21	14	ω	ω	NOUN
ap-1866	21	15	:	:	PUNCT
ap-1866	21	16	h(f	h(f	NUM
ap-1866	21	17	)	)	PUNCT
ap-1866	21	18	→	→	SYM
ap-1866	21	19	h(p	h(p	NOUN
ap-1866	21	20	)	)	PUNCT
ap-1866	21	21	between	between	ADP
ap-1866	21	22	unitarily	unitarily	ADJ
ap-1866	21	23	non	non	ADJ
ap-1866	21	24	-	-	ADJ
ap-1866	21	25	equivalent	equivalent	ADJ
ap-1866	21	26	hilbert	hilbert	NOUN
ap-1866	21	27	spaces	space	NOUN
ap-1866	21	28	were	be	AUX
ap-1866	21	29	first	first	ADV
ap-1866	21	30	revealed	reveal	VERB
ap-1866	21	31	,	,	PUNCT
ap-1866	21	32	in	in	ADP
ap-1866	21	33	the	the	DET
ap-1866	21	34	context	context	NOUN
ap-1866	21	35	of	of	ADP
ap-1866	21	36	nuclear	nuclear	ADJ
ap-1866	21	37	physics	physic	NOUN
ap-1866	21	38	,	,	PUNCT
ap-1866	21	39	by	by	ADP
ap-1866	21	40	f.	f.	PROPN
ap-1866	21	41	dyson	dyson	PROPN
ap-1866	21	42	(	(	PUNCT
ap-1866	21	43	cf	cf	NOUN
ap-1866	21	44	.	.	PUNCT
ap-1866	22	1	the	the	DET
ap-1866	22	2	review	review	NOUN
ap-1866	22	3	paper	paper	NOUN
ap-1866	22	4	[	[	X
ap-1866	22	5	2	2	X
ap-1866	22	6	]	]	PUNCT
ap-1866	22	7	for	for	ADP
ap-1866	22	8	more	more	ADJ
ap-1866	22	9	details	detail	NOUN
ap-1866	22	10	)	)	PUNCT
ap-1866	22	11	.	.	PUNCT
ap-1866	23	1	he	he	PRON
ap-1866	23	2	was	be	AUX
ap-1866	23	3	the	the	DET
ap-1866	23	4	first	first	ADJ
ap-1866	23	5	to	to	PART
ap-1866	23	6	introduce	introduce	VERB
ap-1866	23	7	computation	computation	NOUN
ap-1866	23	8	-	-	PUNCT
ap-1866	23	9	facilitating	facilitate	VERB
ap-1866	23	10	and	and	CCONJ
ap-1866	23	11	ω−induced	ω−induced	ADJ
ap-1866	23	12	transitions	transition	NOUN
ap-1866	23	13	between	between	ADP
ap-1866	23	14	the	the	DET
ap-1866	23	15	“	"	PUNCT
ap-1866	23	16	intractable	intractable	ADJ
ap-1866	23	17	”	"	PUNCT
ap-1866	23	18	,	,	PUNCT
ap-1866	23	19	microscopic	microscopic	ADJ
ap-1866	23	20	,	,	PUNCT
ap-1866	23	21	fermionic	fermionic	NOUN
ap-1866	23	22	hamiltonians	hamiltonian	NOUN
ap-1866	23	23	h	h	NOUN
ap-1866	24	1	=	=	PUNCT
ap-1866	24	2	ωhω−1	ωhω−1	PUNCT
ap-1866	24	3	=	=	PUNCT
ap-1866	24	4	h†	h†	X
ap-1866	24	5	in	in	ADP
ap-1866	24	6	p	p	NOUN
ap-1866	24	7	-	-	PUNCT
ap-1866	24	8	space	space	NOUN
ap-1866	24	9	and	and	CCONJ
ap-1866	24	10	their	their	PRON
ap-1866	24	11	“	"	PUNCT
ap-1866	24	12	tractable	tractable	ADJ
ap-1866	24	13	”	"	PUNCT
ap-1866	24	14	,	,	PUNCT
ap-1866	24	15	bosonic	bosonic	PROPN
ap-1866	24	16	isospectral	isospectral	ADJ
ap-1866	24	17	images	image	NOUN
ap-1866	24	18	h	h	NOUN
ap-1866	24	19	defined	define	VERB
ap-1866	24	20	in	in	ADP
ap-1866	24	21	f	f	NOUN
ap-1866	24	22	-	-	PUNCT
ap-1866	24	23	space	space	NOUN
ap-1866	24	24	.	.	PUNCT
ap-1866	25	1	albeit	albeit	SCONJ
ap-1866	25	2	non	non	ADJ
ap-1866	25	3	-	-	ADJ
ap-1866	25	4	hermitian	hermitian	ADJ
ap-1866	25	5	in	in	ADP
ap-1866	25	6	h(f	h(f	PROPN
ap-1866	25	7	)	)	PUNCT
ap-1866	25	8	,	,	PUNCT
ap-1866	25	9	h	h	PROPN
ap-1866	26	1	6=	6=	NOUN
ap-1866	26	2	h†	h†	PROPN
ap-1866	26	3	,	,	PUNCT
ap-1866	26	4	the	the	DET
ap-1866	26	5	latter	latter	ADJ
ap-1866	26	6	operator	operator	NOUN
ap-1866	26	7	appeared	appear	VERB
ap-1866	26	8	perfectly	perfectly	ADV
ap-1866	26	9	hermitian	hermitian	ADJ
ap-1866	26	10	in	in	ADP
ap-1866	26	11	h(s	h(s	PROPN
ap-1866	26	12	)	)	PUNCT
ap-1866	26	13	,	,	PUNCT
ap-1866	26	14	i.e.	i.e.	X
ap-1866	26	15	,	,	PUNCT
ap-1866	26	16	it	it	PRON
ap-1866	26	17	exhibited	exhibit	VERB
ap-1866	26	18	the	the	DET
ap-1866	26	19	hidden	hide	VERB
ap-1866	26	20	hermiticity	hermiticity	NOUN
ap-1866	26	21	property	property	NOUN
ap-1866	26	22	h	h	NOUN
ap-1866	26	23	=	=	PRON
ap-1866	26	24	h‡	h‡	PROPN
ap-1866	26	25	=	=	SYM
ap-1866	26	26	θ−1h†θ	θ−1h†θ	PROPN
ap-1866	26	27	,	,	PUNCT
ap-1866	26	28	where	where	SCONJ
ap-1866	26	29	θ	θ	PROPN
ap-1866	26	30	=	=	SYM
ap-1866	26	31	ω†ω	ω†ω	PROPN
ap-1866	26	32	.	.	PUNCT
ap-1866	27	1	in	in	ADP
ap-1866	27	2	what	what	PRON
ap-1866	27	3	follows	follow	VERB
ap-1866	27	4	,	,	PUNCT
ap-1866	27	5	in	in	ADP
ap-1866	27	6	the	the	DET
ap-1866	27	7	language	language	NOUN
ap-1866	27	8	and	and	CCONJ
ap-1866	27	9	notation	notation	NOUN
ap-1866	27	10	of	of	ADP
ap-1866	27	11	ref	ref	NOUN
ap-1866	27	12	.	.	PUNCT
ap-1866	28	1	[	[	X
ap-1866	28	2	1	1	NUM
ap-1866	28	3	]	]	PUNCT
ap-1866	28	4	,	,	PUNCT
ap-1866	28	5	let	let	VERB
ap-1866	28	6	us	we	PRON
ap-1866	28	7	call	call	VERB
ap-1866	28	8	the	the	DET
ap-1866	28	9	latter	latter	ADJ
ap-1866	28	10	hamiltonians	hamiltonian	NOUN
ap-1866	28	11	h	h	NOUN
ap-1866	28	12	“	"	PUNCT
ap-1866	28	13	crypto	crypto	ADJ
ap-1866	28	14	-	-	ADJ
ap-1866	28	15	hermitian	hermitian	ADJ
ap-1866	28	16	”	"	PUNCT
ap-1866	28	17	.	.	PUNCT
ap-1866	29	1	one	one	NUM
ap-1866	29	2	of	of	ADP
ap-1866	29	3	the	the	DET
ap-1866	29	4	first	first	ADJ
ap-1866	29	5	physical	physical	ADJ
ap-1866	29	6	models	model	NOUN
ap-1866	29	7	belonging	belong	VERB
ap-1866	29	8	to	to	ADP
ap-1866	29	9	the	the	DET
ap-1866	29	10	former	former	ADJ
ap-1866	29	11	category	category	NOUN
ap-1866	29	12	“	"	PUNCT
ap-1866	29	13	a	a	PRON
ap-1866	29	14	”	"	PUNCT
ap-1866	29	15	is	be	AUX
ap-1866	29	16	due	due	ADJ
ap-1866	29	17	to	to	ADP
ap-1866	29	18	daniel	daniel	PROPN
ap-1866	29	19	bessis	bessis	NOUN
ap-1866	29	20	[	[	X
ap-1866	29	21	3	3	X
ap-1866	29	22	]	]	PUNCT
ap-1866	29	23	and	and	CCONJ
ap-1866	29	24	carl	carl	PROPN
ap-1866	29	25	bender	bender	PROPN
ap-1866	29	26	with	with	ADP
ap-1866	29	27	coauthors	coauthor	NOUN
ap-1866	29	28	(	(	PUNCT
ap-1866	29	29	cf	cf	NOUN
ap-1866	29	30	.	.	PUNCT
ap-1866	30	1	his	his	PRON
ap-1866	30	2	extensive	extensive	ADJ
ap-1866	30	3	review	review	NOUN
ap-1866	30	4	paper	paper	NOUN
ap-1866	30	5	[	[	X
ap-1866	30	6	4	4	NUM
ap-1866	30	7	]	]	PUNCT
ap-1866	30	8	)	)	PUNCT
ap-1866	30	9	.	.	PUNCT
ap-1866	31	1	they	they	PRON
ap-1866	31	2	started	start	VERB
ap-1866	31	3	their	their	PRON
ap-1866	31	4	considerations	consideration	NOUN
ap-1866	31	5	from	from	ADP
ap-1866	31	6	a	a	DET
ap-1866	31	7	truly	truly	ADV
ap-1866	31	8	interesting	interesting	ADJ
ap-1866	31	9	candidate	candidate	NOUN
ap-1866	31	10	for	for	ADP
ap-1866	31	11	the	the	DET
ap-1866	31	12	correct	correct	ADJ
ap-1866	31	13	physical	physical	ADJ
ap-1866	31	14	hamiltonian	hamiltonian	ADJ
ap-1866	31	15	operator	operator	NOUN
ap-1866	31	16	h	h	NOUN
ap-1866	31	17	=	=	PUNCT
ap-1866	31	18	p2	p2	PROPN
ap-1866	31	19	+	+	CCONJ
ap-1866	31	20	ix3	ix3	PROPN
ap-1866	31	21	,	,	PUNCT
ap-1866	31	22	which	which	PRON
ap-1866	31	23	proves	prove	VERB
ap-1866	31	24	manifestly	manifestly	ADV
ap-1866	31	25	non	non	ADJ
ap-1866	31	26	-	-	ADJ
ap-1866	31	27	hermitian	hermitian	ADJ
ap-1866	31	28	in	in	ADP
ap-1866	31	29	the	the	DET
ap-1866	31	30	most	most	ADV
ap-1866	31	31	common	common	ADJ
ap-1866	31	32	“	"	PUNCT
ap-1866	31	33	false	false	ADJ
ap-1866	31	34	”	"	PUNCT
ap-1866	31	35	hilbert	hilbert	NOUN
ap-1866	31	36	space	space	NOUN
ap-1866	31	37	h(f	h(f	PROPN
ap-1866	31	38	)	)	PUNCT
ap-1866	31	39	≡	≡	PROPN
ap-1866	31	40	l2(r	l2(r	PROPN
ap-1866	31	41	)	)	PUNCT
ap-1866	31	42	.	.	PUNCT
ap-1866	32	1	unfortunately	unfortunately	ADV
ap-1866	32	2	,	,	PUNCT
ap-1866	32	3	for	for	ADP
ap-1866	32	4	the	the	DET
ap-1866	32	5	bessis	bessis	NOUN
ap-1866	32	6	’	'	PUNCT
ap-1866	32	7	imaginary	imaginary	ADJ
ap-1866	32	8	cubic	cubic	ADJ
ap-1866	32	9	oscillator	oscillator	NOUN
ap-1866	32	10	the	the	DET
ap-1866	32	11	necessity	necessity	NOUN
ap-1866	32	12	of	of	ADP
ap-1866	32	13	providing	provide	VERB
ap-1866	32	14	a	a	DET
ap-1866	32	15	correct	correct	ADJ
ap-1866	32	16	s	s	NOUN
ap-1866	32	17	-	-	PUNCT
ap-1866	32	18	superscripted	superscripte	VERB
ap-1866	32	19	hilbert	hilbert	NOUN
ap-1866	32	20	space	space	NOUN
ap-1866	32	21	metric	metric	PROPN
ap-1866	32	22	θ	θ	PROPN
ap-1866	32	23	6=	6=	PROPN
ap-1866	33	1	i	i	PRON
ap-1866	33	2	appeared	appear	VERB
ap-1866	33	3	to	to	PART
ap-1866	33	4	be	be	AUX
ap-1866	33	5	a	a	DET
ap-1866	33	6	formidably	formidably	ADV
ap-1866	33	7	difficult	difficult	ADJ
ap-1866	33	8	mathematical	mathematical	ADJ
ap-1866	33	9	task	task	NOUN
ap-1866	33	10	[	[	X
ap-1866	33	11	5	5	NUM
ap-1866	33	12	]	]	PUNCT
ap-1866	33	13	which	which	PRON
ap-1866	33	14	still	still	ADV
ap-1866	33	15	seems	seem	VERB
ap-1866	33	16	to	to	PART
ap-1866	33	17	be	be	AUX
ap-1866	33	18	far	far	ADV
ap-1866	33	19	from	from	ADP
ap-1866	33	20	completion	completion	NOUN
ap-1866	33	21	[	[	X
ap-1866	33	22	6	6	NUM
ap-1866	33	23	]	]	PUNCT
ap-1866	33	24	.	.	PUNCT
ap-1866	34	1	further	further	ADJ
ap-1866	34	2	models	model	NOUN
ap-1866	34	3	need	need	VERB
ap-1866	34	4	to	to	PART
ap-1866	34	5	be	be	AUX
ap-1866	34	6	developed	develop	VERB
ap-1866	34	7	.	.	PUNCT
ap-1866	35	1	indeed	indeed	ADV
ap-1866	35	2	,	,	PUNCT
ap-1866	35	3	the	the	DET
ap-1866	35	4	active	active	ADJ
ap-1866	35	5	use	use	NOUN
ap-1866	35	6	of	of	ADP
ap-1866	35	7	the	the	DET
ap-1866	35	8	whole	whole	ADJ
ap-1866	35	9	three	three	NUM
ap-1866	35	10	-	-	PUNCT
ap-1866	35	11	hilbert	hilbert	NOUN
ap-1866	35	12	-	-	PUNCT
ap-1866	35	13	space	space	NOUN
ap-1866	35	14	(	(	PUNCT
ap-1866	35	15	ths	th	NOUN
ap-1866	35	16	,	,	PUNCT
ap-1866	35	17	[	[	X
ap-1866	35	18	1	1	NUM
ap-1866	35	19	]	]	PUNCT
ap-1866	35	20	)	)	PUNCT
ap-1866	35	21	pattern	pattern	NOUN
ap-1866	35	22	is	be	AUX
ap-1866	35	23	conceptually	conceptually	ADV
ap-1866	35	24	transparent	transparent	ADJ
ap-1866	35	25	,	,	PUNCT
ap-1866	35	26	based	base	VERB
ap-1866	35	27	just	just	ADV
ap-1866	35	28	on	on	ADP
ap-1866	35	29	an	an	DET
ap-1866	35	30	ad	ad	NOUN
ap-1866	35	31	hoc	hoc	X
ap-1866	35	32	variability	variability	NOUN
ap-1866	35	33	of	of	ADP
ap-1866	35	34	the	the	DET
ap-1866	35	35	maps	maps	PROPN
ap-1866	35	36	ω	ω	PROPN
ap-1866	35	37	and/or	and/or	CCONJ
ap-1866	35	38	of	of	ADP
ap-1866	35	39	the	the	DET
ap-1866	35	40	inner	inner	ADJ
ap-1866	35	41	products	product	NOUN
ap-1866	35	42	(	(	PUNCT
ap-1866	35	43	i.e.	i.e.	X
ap-1866	35	44	,	,	PUNCT
ap-1866	35	45	in	in	ADP
ap-1866	35	46	other	other	ADJ
ap-1866	35	47	words	word	NOUN
ap-1866	35	48	,	,	PUNCT
ap-1866	35	49	on	on	ADP
ap-1866	35	50	the	the	DET
ap-1866	35	51	freedom	freedom	NOUN
ap-1866	35	52	of	of	ADP
ap-1866	35	53	our	our	PRON
ap-1866	35	54	varying	vary	VERB
ap-1866	35	55	metric	metric	ADJ
ap-1866	35	56	θ	θ	PROPN
ap-1866	35	57	6=	6=	PROPN
ap-1866	36	1	i	i	PRON
ap-1866	36	2	in	in	ADP
ap-1866	36	3	the	the	DET
ap-1866	36	4	correct	correct	ADJ
ap-1866	36	5	physical	physical	ADJ
ap-1866	36	6	hilbert	hilbert	NOUN
ap-1866	36	7	space	space	NOUN
ap-1866	36	8	of	of	ADP
ap-1866	36	9	quantum	quantum	ADJ
ap-1866	36	10	states	state	NOUN
ap-1866	36	11	h(s	h(s	PROPN
ap-1866	36	12	)	)	PUNCT
ap-1866	36	13	)	)	PUNCT
ap-1866	36	14	.	.	PUNCT
ap-1866	37	1	after	after	ADV
ap-1866	37	2	all	all	ADV
ap-1866	37	3	,	,	PUNCT
ap-1866	37	4	one	one	PRON
ap-1866	37	5	may	may	AUX
ap-1866	37	6	find	find	VERB
ap-1866	37	7	applications	application	NOUN
ap-1866	37	8	of	of	ADP
ap-1866	37	9	the	the	DET
ap-1866	37	10	same	same	ADJ
ap-1866	37	11	or	or	CCONJ
ap-1866	37	12	similar	similar	ADJ
ap-1866	37	13	pattern	pattern	NOUN
ap-1866	37	14	in	in	ADP
ap-1866	37	15	the	the	DET
ap-1866	37	16	older	old	ADJ
ap-1866	37	17	literature	literature	NOUN
ap-1866	37	18	on	on	ADP
ap-1866	37	19	molecular	molecular	ADJ
ap-1866	37	20	physics	physic	NOUN
ap-1866	37	21	[	[	X
ap-1866	37	22	7	7	NUM
ap-1866	37	23	]	]	PUNCT
ap-1866	37	24	,	,	PUNCT
ap-1866	37	25	in	in	ADP
ap-1866	37	26	the	the	DET
ap-1866	37	27	relativistic	relativistic	ADJ
ap-1866	37	28	quantum	quantum	ADJ
ap-1866	37	29	mechanics	mechanic	NOUN
ap-1866	37	30	[	[	X
ap-1866	37	31	8	8	NUM
ap-1866	37	32	]	]	PUNCT
ap-1866	37	33	,	,	PUNCT
ap-1866	37	34	in	in	ADP
ap-1866	37	35	the	the	DET
ap-1866	37	36	variational	variational	ADJ
ap-1866	37	37	descriptions	description	NOUN
ap-1866	37	38	of	of	ADP
ap-1866	37	39	many	many	ADJ
ap-1866	37	40	-	-	PUNCT
ap-1866	37	41	body	body	NOUN
ap-1866	37	42	systems	system	NOUN
ap-1866	37	43	and	and	CCONJ
ap-1866	37	44	spin	spin	VERB
ap-1866	37	45	lattices	lattice	NOUN
ap-1866	37	46	[	[	X
ap-1866	37	47	9	9	NUM
ap-1866	37	48	]	]	SYM
ap-1866	37	49	etc	etc	X
ap-1866	37	50	.	.	X
ap-1866	38	1	thus	thus	ADV
ap-1866	38	2	,	,	PUNCT
ap-1866	38	3	all	all	PRON
ap-1866	38	4	of	of	ADP
ap-1866	38	5	the	the	DET
ap-1866	38	6	methodological	methodological	ADJ
ap-1866	38	7	questions	question	NOUN
ap-1866	38	8	of	of	ADP
ap-1866	38	9	applicability	applicability	NOUN
ap-1866	38	10	of	of	ADP
ap-1866	38	11	the	the	DET
ap-1866	38	12	ths	th	NOUN
ap-1866	38	13	representation	representation	NOUN
ap-1866	38	14	pattern	pattern	NOUN
ap-1866	38	15	deserve	deserve	VERB
ap-1866	38	16	473	473	NUM
ap-1866	38	17	http://dx.doi.org/10.14311/ap.2013.53.0473	http://dx.doi.org/10.14311/ap.2013.53.0473	NOUN
ap-1866	38	18	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-1866	38	19	m.	m.	NOUN
ap-1866	38	20	znojil	znojil	PROPN
ap-1866	38	21	acta	acta	PROPN
ap-1866	38	22	polytechnica	polytechnica	PROPN
ap-1866	38	23	to	to	PART
ap-1866	38	24	be	be	AUX
ap-1866	38	25	reanalyzed	reanalyze	VERB
ap-1866	38	26	via	via	ADP
ap-1866	38	27	as	as	ADP
ap-1866	38	28	simple	simple	ADJ
ap-1866	38	29	toy	toy	NOUN
ap-1866	38	30	-	-	PUNCT
ap-1866	38	31	model	model	NOUN
ap-1866	38	32	examples	example	NOUN
ap-1866	38	33	as	as	ADP
ap-1866	38	34	possible	possible	ADJ
ap-1866	38	35	.	.	PUNCT
ap-1866	39	1	in	in	ADP
ap-1866	39	2	our	our	PRON
ap-1866	39	3	present	present	ADJ
ap-1866	39	4	paper	paper	NOUN
ap-1866	39	5	we	we	PRON
ap-1866	39	6	intend	intend	VERB
ap-1866	39	7	to	to	PART
ap-1866	39	8	review	review	VERB
ap-1866	39	9	and	and	CCONJ
ap-1866	39	10	complement	complement	VERB
ap-1866	39	11	the	the	DET
ap-1866	39	12	recent	recent	ADJ
ap-1866	39	13	development	development	NOUN
ap-1866	39	14	of	of	ADP
ap-1866	39	15	such	such	DET
ap-1866	39	16	a	a	DET
ap-1866	39	17	project	project	NOUN
ap-1866	39	18	,	,	PUNCT
ap-1866	39	19	and	and	CCONJ
ap-1866	39	20	we	we	PRON
ap-1866	39	21	will	will	AUX
ap-1866	39	22	describe	describe	VERB
ap-1866	39	23	some	some	PRON
ap-1866	39	24	of	of	ADP
ap-1866	39	25	its	its	PRON
ap-1866	39	26	consequences	consequence	NOUN
ap-1866	39	27	and	and	CCONJ
ap-1866	39	28	ramifications	ramification	NOUN
ap-1866	39	29	in	in	ADP
ap-1866	39	30	some	some	DET
ap-1866	39	31	detail	detail	NOUN
ap-1866	39	32	.	.	PUNCT
ap-1866	40	1	2	2	X
ap-1866	40	2	.	.	X
ap-1866	40	3	the	the	DET
ap-1866	40	4	current	current	ADJ
ap-1866	40	5	state	state	NOUN
ap-1866	40	6	of	of	ADP
ap-1866	40	7	the	the	DET
ap-1866	40	8	art	art	NOUN
ap-1866	40	9	from	from	ADP
ap-1866	40	10	the	the	DET
ap-1866	40	11	point	point	NOUN
ap-1866	40	12	of	of	ADP
ap-1866	40	13	view	view	NOUN
ap-1866	40	14	of	of	ADP
ap-1866	40	15	the	the	DET
ap-1866	40	16	recent	recent	ADJ
ap-1866	40	17	history	history	NOUN
ap-1866	40	18	of	of	ADP
ap-1866	40	19	quantum	quantum	ADJ
ap-1866	40	20	mechanics	mechanic	NOUN
ap-1866	40	21	it	it	PRON
ap-1866	40	22	was	be	AUX
ap-1866	40	23	,	,	PUNCT
ap-1866	40	24	certainly	certainly	ADV
ap-1866	40	25	,	,	PUNCT
ap-1866	40	26	fortunate	fortunate	VERB
ap-1866	40	27	that	that	SCONJ
ap-1866	40	28	in	in	ADP
ap-1866	40	29	some	some	PRON
ap-1866	40	30	of	of	ADP
ap-1866	40	31	the	the	DET
ap-1866	40	32	above	above	ADV
ap-1866	40	33	-	-	PUNCT
ap-1866	40	34	mentioned	mention	VERB
ap-1866	40	35	specific	specific	ADJ
ap-1866	40	36	hidden	hide	VERB
ap-1866	40	37	-	-	PUNCT
ap-1866	40	38	hermiticity	hermiticity	NOUN
ap-1866	40	39	contexts	contexts	NOUN
ap-1866	40	40	people	people	NOUN
ap-1866	40	41	discovered	discover	VERB
ap-1866	40	42	the	the	DET
ap-1866	40	43	advantages	advantage	NOUN
ap-1866	40	44	of	of	ADP
ap-1866	40	45	working	work	VERB
ap-1866	40	46	with	with	ADP
ap-1866	40	47	such	such	DET
ap-1866	40	48	an	an	DET
ap-1866	40	49	operator	operator	NOUN
ap-1866	40	50	representation	representation	NOUN
ap-1866	40	51	h	h	NOUN
ap-1866	40	52	of	of	ADP
ap-1866	40	53	a	a	DET
ap-1866	40	54	given	give	VERB
ap-1866	40	55	observable	observable	ADJ
ap-1866	40	56	quantity	quantity	NOUN
ap-1866	40	57	(	(	PUNCT
ap-1866	40	58	say	say	INTJ
ap-1866	40	59	,	,	PUNCT
ap-1866	40	60	of	of	ADP
ap-1866	40	61	the	the	DET
ap-1866	40	62	energy	energy	NOUN
ap-1866	40	63	)	)	PUNCT
ap-1866	40	64	which	which	PRON
ap-1866	40	65	only	only	ADV
ap-1866	40	66	proved	prove	VERB
ap-1866	40	67	hermitian	hermitian	ADJ
ap-1866	40	68	after	after	ADP
ap-1866	40	69	a	a	DET
ap-1866	40	70	change	change	NOUN
ap-1866	40	71	of	of	ADP
ap-1866	40	72	the	the	DET
ap-1866	40	73	inner	inner	ADJ
ap-1866	40	74	product	product	NOUN
ap-1866	40	75	in	in	ADP
ap-1866	40	76	the	the	DET
ap-1866	40	77	initially	initially	ADV
ap-1866	40	78	ill	ill	ADV
ap-1866	40	79	-	-	PUNCT
ap-1866	40	80	chosen	choose	VERB
ap-1866	40	81	(	(	PUNCT
ap-1866	40	82	i.e.	i.e.	X
ap-1866	40	83	,	,	PUNCT
ap-1866	40	84	by	by	ADP
ap-1866	40	85	assumption	assumption	NOUN
ap-1866	40	86	,	,	PUNCT
ap-1866	40	87	unphysical	unphysical	ADJ
ap-1866	40	88	)	)	PUNCT
ap-1866	40	89	hilbert	hilbert	NOUN
ap-1866	40	90	space	space	NOUN
ap-1866	40	91	h(f	h(f	PROPN
ap-1866	40	92	)	)	PUNCT
ap-1866	40	93	(	(	PUNCT
ap-1866	40	94	the	the	DET
ap-1866	40	95	superscript	superscript	PROPN
ap-1866	40	96	(	(	PUNCT
ap-1866	40	97	f	f	X
ap-1866	40	98	)	)	PUNCT
ap-1866	40	99	might	might	AUX
ap-1866	40	100	also	also	ADV
ap-1866	40	101	be	be	AUX
ap-1866	40	102	read	read	VERB
ap-1866	40	103	here	here	ADV
ap-1866	40	104	as	as	ADP
ap-1866	40	105	abbreviating	abbreviate	VERB
ap-1866	40	106	“	"	PUNCT
ap-1866	40	107	former	former	ADJ
ap-1866	40	108	”	"	PUNCT
ap-1866	40	109	or	or	CCONJ
ap-1866	40	110	“	"	PUNCT
ap-1866	40	111	first	first	ADJ
ap-1866	40	112	”	"	PUNCT
ap-1866	40	113	)	)	PUNCT
ap-1866	40	114	.	.	PUNCT
ap-1866	41	1	a	a	DET
ap-1866	41	2	shared	share	VERB
ap-1866	41	3	motivation	motivation	NOUN
ap-1866	41	4	of	of	ADP
ap-1866	41	5	many	many	ADJ
ap-1866	41	6	of	of	ADP
ap-1866	41	7	the	the	DET
ap-1866	41	8	above	above	ADV
ap-1866	41	9	-	-	PUNCT
ap-1866	41	10	cited	cite	VERB
ap-1866	41	11	papers	paper	NOUN
ap-1866	41	12	speaking	speak	VERB
ap-1866	41	13	about	about	ADP
ap-1866	41	14	non	non	ADJ
ap-1866	41	15	-	-	ADJ
ap-1866	41	16	hermitian	hermitian	ADJ
ap-1866	41	17	quantum	quantum	ADJ
ap-1866	41	18	mechanics	mechanic	NOUN
ap-1866	41	19	resulted	result	VERB
ap-1866	41	20	just	just	ADV
ap-1866	41	21	from	from	ADP
ap-1866	41	22	the	the	DET
ap-1866	41	23	observation	observation	NOUN
ap-1866	41	24	that	that	SCONJ
ap-1866	41	25	several	several	ADJ
ap-1866	41	26	phenomenologically	phenomenologically	ADV
ap-1866	41	27	interesting	interesting	ADJ
ap-1866	41	28	operators	operator	NOUN
ap-1866	41	29	(	(	PUNCT
ap-1866	41	30	say	say	INTJ
ap-1866	41	31	,	,	PUNCT
ap-1866	41	32	hamiltonians	hamiltonian	NOUN
ap-1866	41	33	)	)	PUNCT
ap-1866	41	34	h	h	NOUN
ap-1866	41	35	appear	appear	VERB
ap-1866	41	36	manifestly	manifestly	ADV
ap-1866	41	37	non	non	ADJ
ap-1866	41	38	-	-	ADJ
ap-1866	41	39	hermitian	hermitian	ADJ
ap-1866	41	40	in	in	ADP
ap-1866	41	41	the	the	DET
ap-1866	41	42	“	"	PUNCT
ap-1866	41	43	usual	usual	ADJ
ap-1866	41	44	”	"	PUNCT
ap-1866	41	45	textbook	textbook	NOUN
ap-1866	41	46	setting	setting	NOUN
ap-1866	41	47	and	and	CCONJ
ap-1866	41	48	that	that	SCONJ
ap-1866	41	49	they	they	PRON
ap-1866	41	50	only	only	ADV
ap-1866	41	51	become	become	VERB
ap-1866	41	52	hermitian	hermitian	ADJ
ap-1866	41	53	in	in	ADP
ap-1866	41	54	some	some	DET
ap-1866	41	55	much	much	ADV
ap-1866	41	56	less	less	ADV
ap-1866	41	57	common	common	ADJ
ap-1866	41	58	representation	representation	NOUN
ap-1866	41	59	of	of	ADP
ap-1866	41	60	the	the	DET
ap-1866	41	61	hilbert	hilbert	NOUN
ap-1866	41	62	space	space	NOUN
ap-1866	41	63	of	of	ADP
ap-1866	41	64	states	state	NOUN
ap-1866	41	65	.	.	PUNCT
ap-1866	42	1	the	the	DET
ap-1866	42	2	amendments	amendment	NOUN
ap-1866	42	3	of	of	ADP
ap-1866	42	4	space	space	NOUN
ap-1866	42	5	were	be	AUX
ap-1866	42	6	,	,	PUNCT
ap-1866	42	7	naturally	naturally	ADV
ap-1866	42	8	,	,	PUNCT
ap-1866	42	9	mediated	mediate	VERB
ap-1866	42	10	by	by	ADP
ap-1866	42	11	the	the	DET
ap-1866	42	12	mere	mere	ADJ
ap-1866	42	13	introduction	introduction	NOUN
ap-1866	42	14	of	of	ADP
ap-1866	42	15	a	a	DET
ap-1866	42	16	non	non	ADJ
ap-1866	42	17	-	-	ADJ
ap-1866	42	18	trivial	trivial	ADJ
ap-1866	42	19	metric	metric	ADJ
ap-1866	42	20	θ	θ	NOUN
ap-1866	42	21	=	=	SYM
ap-1866	42	22	θ(s	θ(s	PROPN
ap-1866	42	23	)	)	PUNCT
ap-1866	42	24	6=	6=	PUNCT
ap-1866	43	1	i	i	PRON
ap-1866	43	2	entering	enter	VERB
ap-1866	43	3	the	the	DET
ap-1866	43	4	upgraded	upgrade	VERB
ap-1866	43	5	,	,	PUNCT
ap-1866	43	6	s−superscripted	s−superscripte	VERB
ap-1866	43	7	inner	inner	ADJ
ap-1866	43	8	products	product	NOUN
ap-1866	43	9	,	,	PUNCT
ap-1866	43	10	〈	〈	PROPN
ap-1866	43	11	ψ1|ψ2〉(f	ψ1|ψ2〉(f	X
ap-1866	43	12	)	)	PUNCT
ap-1866	43	13	→	→	PUNCT
ap-1866	43	14	〈	〈	PROPN
ap-1866	43	15	ψ1|ψ2〉(s	ψ1|ψ2〉(s	NUM
ap-1866	43	16	)	)	PUNCT
ap-1866	43	17	:	:	PUNCT
ap-1866	43	18	=	=	PUNCT
ap-1866	43	19	〈	〈	NOUN
ap-1866	43	20	ψ1|θ|ψ2〉(f	ψ1|θ|ψ2〉(f	NOUN
ap-1866	43	21	)	)	PUNCT
ap-1866	43	22	.	.	PUNCT
ap-1866	44	1	(	(	PUNCT
ap-1866	44	2	1	1	X
ap-1866	44	3	)	)	PUNCT
ap-1866	44	4	such	such	DET
ap-1866	44	5	an	an	DET
ap-1866	44	6	inner	inner	ADJ
ap-1866	44	7	-	-	PUNCT
ap-1866	44	8	product	product	NOUN
ap-1866	44	9	modification	modification	NOUN
ap-1866	44	10	changed	change	VERB
ap-1866	44	11	,	,	PUNCT
ap-1866	44	12	strictly	strictly	ADV
ap-1866	44	13	speaking	speak	VERB
ap-1866	44	14	,	,	PUNCT
ap-1866	44	15	the	the	DET
ap-1866	44	16	hilbert	hilbert	NOUN
ap-1866	44	17	space	space	NOUN
ap-1866	44	18	,	,	PUNCT
ap-1866	44	19	h(f	h(f	PROPN
ap-1866	44	20	)	)	PUNCT
ap-1866	44	21	→	→	SYM
ap-1866	44	22	h(s	h(s	PROPN
ap-1866	44	23	)	)	PUNCT
ap-1866	44	24	.	.	PUNCT
ap-1866	45	1	there	there	PRON
ap-1866	45	2	were	be	VERB
ap-1866	45	3	several	several	ADJ
ap-1866	45	4	independent	independent	ADJ
ap-1866	45	5	reasons	reason	NOUN
ap-1866	45	6	for	for	ADP
ap-1866	45	7	this	this	PRON
ap-1866	45	8	.	.	PUNCT
ap-1866	46	1	besides	besides	SCONJ
ap-1866	46	2	the	the	DET
ap-1866	46	3	formal	formal	ADJ
ap-1866	46	4	necessity	necessity	NOUN
ap-1866	46	5	of	of	ADP
ap-1866	46	6	re	re	VERB
ap-1866	46	7	-	-	VERB
ap-1866	46	8	installing	instal	VERB
ap-1866	46	9	the	the	DET
ap-1866	46	10	unitarity	unitarity	NOUN
ap-1866	46	11	of	of	ADP
ap-1866	46	12	the	the	DET
ap-1866	46	13	evolution	evolution	NOUN
ap-1866	46	14	law	law	NOUN
ap-1866	46	15	,	,	PUNCT
ap-1866	46	16	the	the	DET
ap-1866	46	17	costs	cost	NOUN
ap-1866	46	18	of	of	ADP
ap-1866	46	19	the	the	DET
ap-1866	46	20	transition	transition	NOUN
ap-1866	46	21	to	to	ADP
ap-1866	46	22	the	the	DET
ap-1866	46	23	more	more	ADV
ap-1866	46	24	complicated	complicated	ADJ
ap-1866	46	25	metric	metric	NOUN
ap-1866	46	26	were	be	AUX
ap-1866	46	27	found	find	VERB
ap-1866	46	28	more	more	ADJ
ap-1866	46	29	than	than	SCONJ
ap-1866	46	30	compensated	compensate	VERB
ap-1866	46	31	by	by	ADP
ap-1866	46	32	the	the	DET
ap-1866	46	33	gains	gain	NOUN
ap-1866	46	34	due	due	ADP
ap-1866	46	35	to	to	ADP
ap-1866	46	36	the	the	DET
ap-1866	46	37	persuasive	persuasive	ADJ
ap-1866	46	38	simplicity	simplicity	NOUN
ap-1866	46	39	of	of	ADP
ap-1866	46	40	hamiltonians	hamiltonian	NOUN
ap-1866	46	41	(	(	PUNCT
ap-1866	46	42	cf	cf	NOUN
ap-1866	46	43	.	.	PUNCT
ap-1866	47	1	[	[	X
ap-1866	47	2	2	2	NUM
ap-1866	47	3	]	]	PUNCT
ap-1866	47	4	or	or	CCONJ
ap-1866	47	5	[	[	X
ap-1866	47	6	4	4	X
ap-1866	47	7	]	]	PUNCT
ap-1866	47	8	in	in	ADP
ap-1866	47	9	this	this	DET
ap-1866	47	10	respect	respect	NOUN
ap-1866	47	11	)	)	PUNCT
ap-1866	47	12	.	.	PUNCT
ap-1866	48	1	moreover	moreover	ADV
ap-1866	48	2	,	,	PUNCT
ap-1866	48	3	for	for	ADP
ap-1866	48	4	some	some	DET
ap-1866	48	5	quantum	quantum	NOUN
ap-1866	48	6	systems	system	NOUN
ap-1866	48	7	the	the	DET
ap-1866	48	8	transition	transition	NOUN
ap-1866	48	9	f	f	PROPN
ap-1866	48	10	→	→	SYM
ap-1866	48	11	s	s	PART
ap-1866	48	12	may	may	AUX
ap-1866	48	13	prove	prove	VERB
ap-1866	48	14	motivated	motivated	ADJ
ap-1866	48	15	by	by	ADP
ap-1866	48	16	physics	physic	NOUN
ap-1866	48	17	.	.	PUNCT
ap-1866	49	1	the	the	DET
ap-1866	49	2	most	most	ADV
ap-1866	49	3	elementary	elementary	ADJ
ap-1866	49	4	illustration	illustration	NOUN
ap-1866	49	5	can	can	AUX
ap-1866	49	6	be	be	AUX
ap-1866	49	7	found	find	VERB
ap-1866	49	8	in	in	ADP
ap-1866	49	9	our	our	PRON
ap-1866	49	10	recent	recent	ADJ
ap-1866	49	11	study	study	NOUN
ap-1866	49	12	[	[	X
ap-1866	49	13	10	10	NUM
ap-1866	49	14	]	]	PUNCT
ap-1866	49	15	where	where	SCONJ
ap-1866	49	16	a	a	DET
ap-1866	49	17	consistent	consistent	ADJ
ap-1866	49	18	quantization	quantization	NOUN
ap-1866	49	19	of	of	ADP
ap-1866	49	20	the	the	DET
ap-1866	49	21	big	big	ADJ
ap-1866	49	22	bang	bang	NOUN
ap-1866	49	23	has	have	AUX
ap-1866	49	24	been	be	AUX
ap-1866	49	25	performed	perform	VERB
ap-1866	49	26	in	in	ADP
ap-1866	49	27	a	a	DET
ap-1866	49	28	schematic	schematic	ADJ
ap-1866	49	29	toy	toy	NOUN
ap-1866	49	30	model	model	NOUN
ap-1866	49	31	in	in	ADP
ap-1866	49	32	which	which	PRON
ap-1866	49	33	the	the	DET
ap-1866	49	34	hamiltonian	hamiltonian	NOUN
ap-1866	49	35	remained	remain	VERB
ap-1866	49	36	selfadjoint	selfadjoint	NOUN
ap-1866	49	37	while	while	SCONJ
ap-1866	49	38	only	only	ADV
ap-1866	49	39	a	a	DET
ap-1866	49	40	“	"	PUNCT
ap-1866	49	41	geometry	geometry	NOUN
ap-1866	49	42	”	"	PUNCT
ap-1866	49	43	observable	observable	ADJ
ap-1866	49	44	proved	prove	VERB
ap-1866	49	45	non	non	ADJ
ap-1866	49	46	-	-	ADJ
ap-1866	49	47	hermitian	hermitian	ADJ
ap-1866	49	48	,	,	PUNCT
ap-1866	49	49	q	q	X
ap-1866	49	50	6=	6=	ADP
ap-1866	49	51	q†.	q†.	NOUN
ap-1866	49	52	for	for	ADP
ap-1866	49	53	a	a	DET
ap-1866	49	54	generic	generic	ADJ
ap-1866	49	55	quantum	quantum	NOUN
ap-1866	49	56	system	system	NOUN
ap-1866	49	57	characterized	characterize	VERB
ap-1866	49	58	by	by	ADP
ap-1866	49	59	two	two	NUM
ap-1866	49	60	observables	observable	NOUN
ap-1866	49	61	h	h	NOUN
ap-1866	49	62	and	and	CCONJ
ap-1866	49	63	q	q	NOUN
ap-1866	49	64	,	,	PUNCT
ap-1866	49	65	hermitian	hermitian	ADJ
ap-1866	49	66	or	or	CCONJ
ap-1866	49	67	not	not	PART
ap-1866	49	68	,	,	PUNCT
ap-1866	49	69	a	a	DET
ap-1866	49	70	characteristic	characteristic	ADJ
ap-1866	49	71	scenario	scenario	NOUN
ap-1866	49	72	may	may	AUX
ap-1866	49	73	be	be	AUX
ap-1866	49	74	found	find	VERB
ap-1866	49	75	displayed	display	VERB
ap-1866	49	76	in	in	ADP
ap-1866	49	77	fig	fig	NOUN
ap-1866	49	78	.	.	PUNCT
ap-1866	50	1	1	1	X
ap-1866	50	2	.	.	X
ap-1866	50	3	in	in	ADP
ap-1866	50	4	the	the	DET
ap-1866	50	5	picture	picture	NOUN
ap-1866	50	6	(	(	PUNCT
ap-1866	50	7	where	where	SCONJ
ap-1866	50	8	the	the	DET
ap-1866	50	9	whole	whole	ADJ
ap-1866	50	10	plane	plane	NOUN
ap-1866	50	11	symbolizes	symbolize	VERB
ap-1866	50	12	a	a	DET
ap-1866	50	13	multidimensional	multidimensional	ADJ
ap-1866	50	14	space	space	NOUN
ap-1866	50	15	of	of	ADP
ap-1866	50	16	all	all	DET
ap-1866	50	17	parameters	parameter	NOUN
ap-1866	50	18	of	of	ADP
ap-1866	50	19	the	the	DET
ap-1866	50	20	model	model	NOUN
ap-1866	50	21	)	)	PUNCT
ap-1866	50	22	we	we	PRON
ap-1866	50	23	see	see	VERB
ap-1866	50	24	three	three	NUM
ap-1866	50	25	circles	circle	NOUN
ap-1866	50	26	.	.	PUNCT
ap-1866	51	1	schematically	schematically	NOUN
ap-1866	51	2	,	,	PUNCT
ap-1866	51	3	they	they	PRON
ap-1866	51	4	represent	represent	VERB
ap-1866	51	5	three	three	NUM
ap-1866	51	6	boundaries	boundary	NOUN
ap-1866	51	7	∂d	∂d	PROPN
ap-1866	51	8	of	of	ADP
ap-1866	51	9	three	three	NUM
ap-1866	51	10	domains	domain	NOUN
ap-1866	51	11	d.	d.	PROPN
ap-1866	51	12	thus	thus	ADV
ap-1866	51	13	,	,	PUNCT
ap-1866	51	14	the	the	DET
ap-1866	51	15	spectrum	spectrum	NOUN
ap-1866	51	16	of	of	ADP
ap-1866	51	17	h	h	NOUN
ap-1866	51	18	is	be	AUX
ap-1866	51	19	assumed	assume	VERB
ap-1866	51	20	potentially	potentially	ADV
ap-1866	51	21	observable	observable	ADJ
ap-1866	51	22	(	(	PUNCT
ap-1866	51	23	i.e.	i.e.	X
ap-1866	51	24	,	,	PUNCT
ap-1866	51	25	real	real	ADJ
ap-1866	51	26	and	and	CCONJ
ap-1866	51	27	,	,	PUNCT
ap-1866	51	28	for	for	ADP
ap-1866	51	29	simplicity	simplicity	NOUN
ap-1866	51	30	,	,	PUNCT
ap-1866	51	31	non	non	ADJ
ap-1866	51	32	-	-	ADJ
ap-1866	51	33	degenerate	degenerate	ADJ
ap-1866	51	34	)	)	PUNCT
ap-1866	51	35	in	in	ADP
ap-1866	51	36	the	the	DET
ap-1866	51	37	left	left	ADJ
ap-1866	51	38	lower	low	ADJ
ap-1866	51	39	domain	domain	NOUN
ap-1866	51	40	dh	dh	NOUN
ap-1866	51	41	.	.	PUNCT
ap-1866	52	1	similarly	similarly	ADV
ap-1866	52	2	,	,	PUNCT
ap-1866	52	3	let	let	VERB
ap-1866	52	4	the	the	DET
ap-1866	52	5	spectrum	spectrum	NOUN
ap-1866	52	6	of	of	ADP
ap-1866	52	7	q	q	PUNCT
ap-1866	52	8	be	be	AUX
ap-1866	52	9	real	real	ADJ
ap-1866	52	10	and	and	CCONJ
ap-1866	52	11	non	non	ADJ
ap-1866	52	12	-	-	ADJ
ap-1866	52	13	degenerate	degenerate	ADJ
ap-1866	52	14	inside	inside	ADP
ap-1866	52	15	the	the	DET
ap-1866	52	16	right	right	ADV
ap-1866	52	17	lower	low	ADJ
ap-1866	52	18	domain	domain	NOUN
ap-1866	52	19	dq	dq	NOUN
ap-1866	52	20	.	.	PUNCT
ap-1866	53	1	in	in	ADP
ap-1866	53	2	parallel	parallel	NOUN
ap-1866	53	3	,	,	PUNCT
ap-1866	53	4	the	the	DET
ap-1866	53	5	spectrum	spectrum	NOUN
ap-1866	53	6	of	of	ADP
ap-1866	53	7	the	the	DET
ap-1866	53	8	available	available	ADJ
ap-1866	53	9	the	the	DET
ap-1866	53	10	physical	physical	ADJ
ap-1866	53	11	subdomain	subdomain	NOUN
ap-1866	53	12	of	of	ADP
ap-1866	53	13	stability	stability	NOUN
ap-1866	53	14	domain	domain	NOUN
ap-1866	53	15	of	of	ADP
ap-1866	53	16	domain	domain	NOUN
ap-1866	53	17	ofdomain	ofdomain	ADV
ap-1866	53	18	of	of	ADP
ap-1866	53	19	parametric	parametric	ADJ
ap-1866	53	20	parametricparametric	parametricparametric	ADJ
ap-1866	53	21	qh	qh	PROPN
ap-1866	53	22	i	i	PROPN
ap-1866	53	23	ii	ii	PROPN
ap-1866	53	24	iii	iii	X
ap-1866	53	25	θ	θ	NOUN
ap-1866	53	26	figure	figure	NOUN
ap-1866	53	27	1	1	NUM
ap-1866	53	28	.	.	PUNCT
ap-1866	53	29	generic	generic	ADJ
ap-1866	53	30	domains	domain	NOUN
ap-1866	53	31	of	of	ADP
ap-1866	53	32	parameters	parameter	NOUN
ap-1866	53	33	for	for	ADP
ap-1866	53	34	which	which	PRON
ap-1866	53	35	the	the	DET
ap-1866	53	36	metric	metric	ADJ
ap-1866	53	37	θ	θ	PROPN
ap-1866	53	38	exists	exist	VERB
ap-1866	53	39	(	(	PUNCT
ap-1866	53	40	upper	upper	ADJ
ap-1866	53	41	disc	disc	NOUN
ap-1866	53	42	)	)	PUNCT
ap-1866	53	43	or	or	CCONJ
ap-1866	53	44	for	for	ADP
ap-1866	53	45	which	which	PRON
ap-1866	53	46	the	the	DET
ap-1866	53	47	spectra	spectra	NOUN
ap-1866	53	48	of	of	ADP
ap-1866	53	49	observables	observable	NOUN
ap-1866	53	50	h	h	NOUN
ap-1866	53	51	or	or	CCONJ
ap-1866	53	52	q	q	NOUN
ap-1866	53	53	remain	remain	VERB
ap-1866	53	54	potentially	potentially	ADV
ap-1866	53	55	observable	observable	ADJ
ap-1866	53	56	(	(	PUNCT
ap-1866	53	57	the	the	DET
ap-1866	53	58	two	two	NUM
ap-1866	53	59	respective	respective	ADJ
ap-1866	53	60	lower	low	ADJ
ap-1866	53	61	discs	disc	NOUN
ap-1866	53	62	)	)	PUNCT
ap-1866	53	63	.	.	PUNCT
ap-1866	54	1	hermitizing	hermitize	VERB
ap-1866	54	2	metrics	metric	NOUN
ap-1866	54	3	θ	θ	NOUN
ap-1866	54	4	must	must	AUX
ap-1866	54	5	be	be	AUX
ap-1866	54	6	,	,	PUNCT
ap-1866	54	7	by	by	ADP
ap-1866	54	8	definition	definition	NOUN
ap-1866	54	9	,	,	PUNCT
ap-1866	54	10	strictly	strictly	ADV
ap-1866	54	11	positive	positive	ADJ
ap-1866	54	12	(	(	PUNCT
ap-1866	54	13	upper	upper	ADJ
ap-1866	54	14	circle	circle	NOUN
ap-1866	54	15	,	,	PUNCT
ap-1866	54	16	domain	domain	NOUN
ap-1866	54	17	dθ	dθ	PROPN
ap-1866	54	18	)	)	PUNCT
ap-1866	54	19	.	.	PUNCT
ap-1866	55	1	in	in	ADP
ap-1866	55	2	this	this	DET
ap-1866	55	3	arrangement	arrangement	NOUN
ap-1866	55	4	,	,	PUNCT
ap-1866	55	5	operator	operator	NOUN
ap-1866	55	6	q	q	NOUN
ap-1866	55	7	ceases	cease	VERB
ap-1866	55	8	to	to	PART
ap-1866	55	9	represent	represent	VERB
ap-1866	55	10	an	an	DET
ap-1866	55	11	observable	observable	ADJ
ap-1866	55	12	in	in	ADP
ap-1866	55	13	domain	domain	NOUN
ap-1866	55	14	“	"	PUNCT
ap-1866	55	15	i	i	PRON
ap-1866	55	16	”	"	PUNCT
ap-1866	55	17	while	while	SCONJ
ap-1866	55	18	operator	operator	NOUN
ap-1866	55	19	h	h	NOUN
ap-1866	55	20	ceases	cease	VERB
ap-1866	55	21	to	to	PART
ap-1866	55	22	represent	represent	VERB
ap-1866	55	23	an	an	DET
ap-1866	55	24	observable	observable	ADJ
ap-1866	55	25	in	in	ADP
ap-1866	55	26	domain	domain	NOUN
ap-1866	55	27	“	"	PUNCT
ap-1866	55	28	ii	ii	NOUN
ap-1866	55	29	”	"	PUNCT
ap-1866	55	30	.	.	PUNCT
ap-1866	56	1	in	in	ADP
ap-1866	56	2	domain	domain	NOUN
ap-1866	56	3	“	"	PUNCT
ap-1866	56	4	iii	iii	NOUN
ap-1866	56	5	”	"	PUNCT
ap-1866	56	6	,	,	PUNCT
ap-1866	56	7	neither	neither	PRON
ap-1866	56	8	of	of	ADP
ap-1866	56	9	these	these	DET
ap-1866	56	10	two	two	NUM
ap-1866	56	11	operators	operator	NOUN
ap-1866	56	12	can	can	AUX
ap-1866	56	13	be	be	AUX
ap-1866	56	14	made	make	VERB
ap-1866	56	15	hermitian	hermitian	ADJ
ap-1866	56	16	using	use	VERB
ap-1866	56	17	the	the	DET
ap-1866	56	18	available	available	ADJ
ap-1866	56	19	class	class	NOUN
ap-1866	56	20	of	of	ADP
ap-1866	56	21	metrics	metric	NOUN
ap-1866	56	22	θ	θ	NOUN
ap-1866	56	23	,	,	PUNCT
ap-1866	56	24	in	in	ADP
ap-1866	56	25	spite	spite	NOUN
ap-1866	56	26	of	of	ADP
ap-1866	56	27	the	the	DET
ap-1866	56	28	reality	reality	NOUN
ap-1866	56	29	of	of	ADP
ap-1866	56	30	both	both	DET
ap-1866	56	31	spectra	spectra	NOUN
ap-1866	56	32	.	.	PUNCT
ap-1866	57	1	a	a	DET
ap-1866	57	2	number	number	NOUN
ap-1866	57	3	of	of	ADP
ap-1866	57	4	open	open	ADJ
ap-1866	57	5	questions	question	NOUN
ap-1866	57	6	emerge	emerge	VERB
ap-1866	57	7	.	.	PUNCT
ap-1866	58	1	some	some	PRON
ap-1866	58	2	of	of	ADP
ap-1866	58	3	them	they	PRON
ap-1866	58	4	will	will	AUX
ap-1866	58	5	be	be	AUX
ap-1866	58	6	discussed	discuss	VERB
ap-1866	58	7	in	in	ADP
ap-1866	58	8	our	our	PRON
ap-1866	58	9	present	present	ADJ
ap-1866	58	10	paper	paper	NOUN
ap-1866	58	11	.	.	PUNCT
ap-1866	59	1	via	via	ADP
ap-1866	59	2	a	a	DET
ap-1866	59	3	few	few	ADJ
ap-1866	59	4	illustrative	illustrative	ADJ
ap-1866	59	5	examples	example	NOUN
ap-1866	59	6	we	we	PRON
ap-1866	59	7	will	will	AUX
ap-1866	59	8	show	show	VERB
ap-1866	59	9	,	,	PUNCT
ap-1866	59	10	among	among	ADP
ap-1866	59	11	others	other	NOUN
ap-1866	59	12	,	,	PUNCT
ap-1866	59	13	that	that	SCONJ
ap-1866	59	14	and	and	CCONJ
ap-1866	59	15	why	why	SCONJ
ap-1866	59	16	the	the	DET
ap-1866	59	17	variability	variability	NOUN
ap-1866	59	18	of	of	ADP
ap-1866	59	19	the	the	DET
ap-1866	59	20	metric	metric	ADJ
ap-1866	59	21	θ	θ	PROPN
ap-1866	59	22	in	in	ADP
ap-1866	59	23	the	the	DET
ap-1866	59	24	physical	physical	ADJ
ap-1866	59	25	hilbert	hilbert	NOUN
ap-1866	59	26	space	space	NOUN
ap-1866	59	27	h(s	h(s	PROPN
ap-1866	59	28	)	)	PUNCT
ap-1866	59	29	represents	represent	VERB
ap-1866	59	30	an	an	DET
ap-1866	59	31	important	important	ADJ
ap-1866	59	32	merit	merit	NOUN
ap-1866	59	33	of	of	ADP
ap-1866	59	34	quantum	quantum	NOUN
ap-1866	59	35	theory	theory	NOUN
ap-1866	59	36	,	,	PUNCT
ap-1866	59	37	and	and	CCONJ
ap-1866	59	38	that	that	PRON
ap-1866	59	39	and	and	CCONJ
ap-1866	59	40	why	why	SCONJ
ap-1866	59	41	the	the	DET
ap-1866	59	42	closed	close	VERB
ap-1866	59	43	-	-	PUNCT
ap-1866	59	44	form	form	NOUN
ap-1866	59	45	availability	availability	NOUN
ap-1866	59	46	of	of	ADP
ap-1866	59	47	operator	operator	NOUN
ap-1866	59	48	θ	θ	PROPN
ap-1866	59	49	(	(	PUNCT
ap-1866	59	50	i.e.	i.e.	X
ap-1866	59	51	,	,	PUNCT
ap-1866	59	52	a	a	DET
ap-1866	59	53	new	new	ADJ
ap-1866	59	54	form	form	NOUN
ap-1866	59	55	of	of	ADP
ap-1866	59	56	solvability	solvability	NOUN
ap-1866	59	57	)	)	PUNCT
ap-1866	59	58	is	be	AUX
ap-1866	59	59	of	of	ADP
ap-1866	59	60	a	a	DET
ap-1866	59	61	truly	truly	ADV
ap-1866	59	62	crucial	crucial	ADJ
ap-1866	59	63	importance	importance	NOUN
ap-1866	59	64	in	in	ADP
ap-1866	59	65	applications	application	NOUN
ap-1866	59	66	.	.	PUNCT
ap-1866	60	1	3	3	X
ap-1866	60	2	.	.	X
ap-1866	60	3	methodical	methodical	ADJ
ap-1866	60	4	guidance	guidance	NOUN
ap-1866	60	5	:	:	PUNCT
ap-1866	60	6	dimension	dimension	NOUN
ap-1866	60	7	two	two	NUM
ap-1866	60	8	3.1	3.1	NUM
ap-1866	60	9	.	.	PUNCT
ap-1866	61	1	toy	toy	NOUN
ap-1866	61	2	-	-	PUNCT
ap-1866	61	3	model	model	NOUN
ap-1866	61	4	hamiltonian	hamiltonian	NOUN
ap-1866	61	5	in	in	ADP
ap-1866	61	6	the	the	DET
ap-1866	61	7	simplest	simple	ADJ
ap-1866	61	8	possible	possible	ADJ
ap-1866	61	9	two	two	NUM
ap-1866	61	10	-	-	PUNCT
ap-1866	61	11	dimensional	dimensional	ADJ
ap-1866	61	12	and	and	CCONJ
ap-1866	61	13	real	real	ADJ
ap-1866	61	14	hilbert	hilbert	NOUN
ap-1866	61	15	space	space	PROPN
ap-1866	61	16	h(f	h(f	PROPN
ap-1866	61	17	)	)	PUNCT
ap-1866	62	1	≡	≡	PROPN
ap-1866	62	2	r2	r2	NOUN
ap-1866	62	3	an	an	DET
ap-1866	62	4	instructive	instructive	ADJ
ap-1866	62	5	sample	sample	NOUN
ap-1866	62	6	of	of	ADP
ap-1866	62	7	the	the	DET
ap-1866	62	8	time	time	NOUN
ap-1866	62	9	evolution	evolution	NOUN
ap-1866	62	10	may	may	AUX
ap-1866	62	11	be	be	AUX
ap-1866	62	12	chosen	choose	VERB
ap-1866	62	13	as	as	ADP
ap-1866	62	14	generated	generate	VERB
ap-1866	62	15	by	by	ADP
ap-1866	62	16	the	the	DET
ap-1866	62	17	hamiltonian	hamiltonian	NOUN
ap-1866	62	18	(	(	PUNCT
ap-1866	62	19	i.e.	i.e.	X
ap-1866	62	20	,	,	PUNCT
ap-1866	62	21	quantum	quantum	ADJ
ap-1866	62	22	energy	energy	NOUN
ap-1866	62	23	operator	operator	NOUN
ap-1866	62	24	or	or	CCONJ
ap-1866	62	25	matrix	matrix	NOUN
ap-1866	62	26	)	)	PUNCT
ap-1866	62	27	of	of	ADP
ap-1866	62	28	ref	ref	NOUN
ap-1866	62	29	.	.	PUNCT
ap-1866	63	1	[	[	X
ap-1866	63	2	11	11	NUM
ap-1866	63	3	]	]	PUNCT
ap-1866	63	4	,	,	PUNCT
ap-1866	63	5	example	example	NOUN
ap-1866	63	6	ii.1.1	ii.1.1	PROPN
ap-1866	63	7	,	,	PUNCT
ap-1866	63	8	h	h	NOUN
ap-1866	63	9	=	=	PUNCT
ap-1866	63	10	h(2)(λ	h(2)(λ	NOUN
ap-1866	63	11	)	)	PUNCT
ap-1866	63	12	=	=	PUNCT
ap-1866	64	1	[	[	PUNCT
ap-1866	64	2	−1	−1	NOUN
ap-1866	64	3	λ	λ	NOUN
ap-1866	64	4	−λ	−λ	NOUN
ap-1866	64	5	1	1	NUM
ap-1866	64	6	]	]	PUNCT
ap-1866	64	7	.	.	PUNCT
ap-1866	65	1	(	(	PUNCT
ap-1866	65	2	2	2	X
ap-1866	65	3	)	)	PUNCT
ap-1866	65	4	its	its	PRON
ap-1866	65	5	eigenvalues	eigenvalue	NOUN
ap-1866	65	6	e(2	e(2	NOUN
ap-1866	65	7	)	)	PUNCT
ap-1866	65	8	±	±	NOUN
ap-1866	65	9	=	=	SYM
ap-1866	65	10	±	±	PROPN
ap-1866	65	11	√	√	NOUN
ap-1866	65	12	1−	1−	NUM
ap-1866	66	1	λ2	λ2	NOUN
ap-1866	66	2	are	be	AUX
ap-1866	66	3	non	non	ADJ
ap-1866	66	4	-	-	ADJ
ap-1866	66	5	degenerate	degenerate	ADJ
ap-1866	66	6	and	and	CCONJ
ap-1866	66	7	real	real	ADJ
ap-1866	66	8	(	(	PUNCT
ap-1866	66	9	i.e.	i.e.	X
ap-1866	66	10	,	,	PUNCT
ap-1866	66	11	in	in	ADP
ap-1866	66	12	principle	principle	ADJ
ap-1866	66	13	,	,	PUNCT
ap-1866	66	14	observable	observable	ADJ
ap-1866	66	15	)	)	PUNCT
ap-1866	66	16	for	for	ADP
ap-1866	66	17	λ	λ	PROPN
ap-1866	66	18	inside	inside	ADJ
ap-1866	66	19	interval	interval	NOUN
ap-1866	66	20	(	(	PUNCT
ap-1866	66	21	−1	−1	NOUN
ap-1866	66	22	,	,	PUNCT
ap-1866	66	23	1	1	NUM
ap-1866	66	24	)	)	PUNCT
ap-1866	66	25	.	.	PUNCT
ap-1866	67	1	on	on	ADP
ap-1866	67	2	the	the	DET
ap-1866	67	3	two	two	NUM
ap-1866	67	4	-	-	PUNCT
ap-1866	67	5	point	point	NOUN
ap-1866	67	6	domain	domain	NOUN
ap-1866	67	7	boundary	boundary	NOUN
ap-1866	67	8	{	{	PUNCT
ap-1866	67	9	−1	−1	NOUN
ap-1866	67	10	,	,	PUNCT
ap-1866	67	11	1	1	NUM
ap-1866	67	12	}	}	PUNCT
ap-1866	67	13	,	,	PUNCT
ap-1866	67	14	these	these	DET
ap-1866	67	15	energies	energy	NOUN
ap-1866	67	16	degenerate	degenerate	VERB
ap-1866	67	17	in	in	ADP
ap-1866	67	18	such	such	DET
ap-1866	67	19	a	a	DET
ap-1866	67	20	way	way	NOUN
ap-1866	67	21	that	that	PRON
ap-1866	67	22	the	the	DET
ap-1866	67	23	canonical	canonical	ADJ
ap-1866	67	24	form	form	NOUN
ap-1866	67	25	of	of	ADP
ap-1866	67	26	the	the	DET
ap-1866	67	27	matrix	matrix	NOUN
ap-1866	67	28	itself	itself	PRON
ap-1866	67	29	becomes	become	VERB
ap-1866	67	30	a	a	DET
ap-1866	67	31	jordan	jordan	PROPN
ap-1866	67	32	block	block	NOUN
ap-1866	67	33	.	.	PUNCT
ap-1866	68	1	subsequently	subsequently	ADV
ap-1866	68	2	,	,	PUNCT
ap-1866	68	3	the	the	DET
ap-1866	68	4	energies	energy	NOUN
ap-1866	68	5	complexify	complexify	VERB
ap-1866	68	6	whenever	whenever	SCONJ
ap-1866	68	7	|λ|	|λ|	PROPN
ap-1866	68	8	>	>	X
ap-1866	68	9	1	1	X
ap-1866	68	10	.	.	PUNCT
ap-1866	69	1	in	in	ADP
ap-1866	69	2	the	the	DET
ap-1866	69	3	current	current	ADJ
ap-1866	69	4	literature	literature	NOUN
ap-1866	69	5	one	one	NUM
ap-1866	69	6	calls	call	VERB
ap-1866	69	7	the	the	DET
ap-1866	69	8	boundary	boundary	ADJ
ap-1866	69	9	points	point	NOUN
ap-1866	69	10	λ	λ	X
ap-1866	69	11	=	=	SYM
ap-1866	69	12	±1	±1	VERB
ap-1866	69	13	“	"	PUNCT
ap-1866	69	14	exceptional	exceptional	ADJ
ap-1866	69	15	points	point	NOUN
ap-1866	69	16	”	"	PUNCT
ap-1866	69	17	(	(	PUNCT
ap-1866	69	18	ep	ep	NOUN
ap-1866	69	19	,	,	PUNCT
ap-1866	69	20	[	[	X
ap-1866	69	21	11	11	NUM
ap-1866	69	22	]	]	NUM
ap-1866	69	23	)	)	PUNCT
ap-1866	69	24	.	.	PUNCT
ap-1866	70	1	at	at	ADP
ap-1866	70	2	these	these	DET
ap-1866	70	3	points	point	NOUN
ap-1866	70	4	the	the	DET
ap-1866	70	5	eigenvalues	eigenvalue	NOUN
ap-1866	70	6	degenerate	degenerate	ADJ
ap-1866	70	7	and	and	CCONJ
ap-1866	70	8	our	our	PRON
ap-1866	70	9	toy	toy	NOUN
ap-1866	70	10	-	-	PUNCT
ap-1866	70	11	model	model	NOUN
ap-1866	70	12	hamiltonian	hamiltonian	NOUN
ap-1866	70	13	ceases	cease	VERB
ap-1866	70	14	to	to	PART
ap-1866	70	15	be	be	AUX
ap-1866	70	16	diagonalizable	diagonalizable	ADJ
ap-1866	70	17	,	,	PUNCT
ap-1866	70	18	becoming	become	VERB
ap-1866	70	19	unitarily	unitarily	ADV
ap-1866	70	20	equivalent	equivalent	ADJ
ap-1866	70	21	to	to	ADP
ap-1866	70	22	a	a	DET
ap-1866	70	23	triangular	triangular	NOUN
ap-1866	70	24	jordan474	jordan474	PROPN
ap-1866	70	25	vol	vol	NOUN
ap-1866	70	26	.	.	PUNCT
ap-1866	71	1	53	53	NUM
ap-1866	71	2	no	no	NOUN
ap-1866	71	3	.	.	PUNCT
ap-1866	72	1	5/2013	5/2013	NUM
ap-1866	72	2	new	new	ADJ
ap-1866	72	3	concept	concept	NOUN
ap-1866	72	4	of	of	ADP
ap-1866	72	5	solvability	solvability	NOUN
ap-1866	72	6	in	in	ADP
ap-1866	72	7	quantum	quantum	ADJ
ap-1866	72	8	mechanics	mechanic	NOUN
ap-1866	72	9	block	block	NOUN
ap-1866	72	10	matrix	matrix	NOUN
ap-1866	72	11	,	,	PUNCT
ap-1866	72	12	h(2)(1	h(2)(1	NOUN
ap-1866	72	13	)	)	PUNCT
ap-1866	72	14	=	=	PUNCT
ap-1866	73	1	[	[	PUNCT
ap-1866	73	2	h(2)(−1	h(2)(−1	PROPN
ap-1866	73	3	)	)	PUNCT
ap-1866	73	4	]	]	PUNCT
ap-1866	73	5	†	†	X
ap-1866	74	1	=	=	PUNCT
ap-1866	74	2	[	[	PUNCT
ap-1866	74	3	−1	−1	NOUN
ap-1866	74	4	1	1	NUM
ap-1866	74	5	−1	−1	NOUN
ap-1866	74	6	1	1	NUM
ap-1866	74	7	]	]	PUNCT
ap-1866	74	8	=	=	SYM
ap-1866	74	9	1	1	NUM
ap-1866	74	10	2	2	NUM
ap-1866	74	11	[	[	PUNCT
ap-1866	74	12	1	1	NUM
ap-1866	74	13	−1	−1	NOUN
ap-1866	74	14	1	1	NUM
ap-1866	74	15	1	1	NUM
ap-1866	74	16	]	]	PUNCT
ap-1866	74	17	[	[	PUNCT
ap-1866	74	18	0	0	NUM
ap-1866	74	19	1	1	NUM
ap-1866	74	20	0	0	NUM
ap-1866	74	21	0	0	NUM
ap-1866	74	22	]	]	PUNCT
ap-1866	74	23	[	[	PUNCT
ap-1866	74	24	1	1	NUM
ap-1866	74	25	1	1	NUM
ap-1866	74	26	−1	−1	NOUN
ap-1866	74	27	1	1	NUM
ap-1866	74	28	]	]	PUNCT
ap-1866	74	29	.	.	PUNCT
ap-1866	75	1	(	(	PUNCT
ap-1866	75	2	3	3	X
ap-1866	75	3	)	)	PUNCT
ap-1866	75	4	at	at	ADP
ap-1866	75	5	|λ|	|λ|	PROPN
ap-1866	75	6	>	>	X
ap-1866	75	7	1	1	NUM
ap-1866	75	8	,	,	PUNCT
ap-1866	75	9	the	the	DET
ap-1866	75	10	diagonalizability	diagonalizability	NOUN
ap-1866	75	11	gets	get	AUX
ap-1866	75	12	restored	restore	VERB
ap-1866	75	13	but	but	CCONJ
ap-1866	75	14	the	the	DET
ap-1866	75	15	eigenvalues	eigenvalue	NOUN
ap-1866	75	16	cease	cease	VERB
ap-1866	75	17	to	to	PART
ap-1866	75	18	be	be	AUX
ap-1866	75	19	real	real	ADJ
ap-1866	75	20	,	,	PUNCT
ap-1866	75	21	e(2	e(2	NOUN
ap-1866	75	22	)	)	PUNCT
ap-1866	75	23	±	±	NOUN
ap-1866	76	1	=	=	PUNCT
ap-1866	77	1	±i	±i	NOUN
ap-1866	77	2	√	√	NUM
ap-1866	77	3	λ2	λ2	NOUN
ap-1866	77	4	−	−	NOUN
ap-1866	77	5	1	1	NUM
ap-1866	77	6	.	.	PUNCT
ap-1866	78	1	in	in	ADP
ap-1866	78	2	the	the	DET
ap-1866	78	3	spirit	spirit	NOUN
ap-1866	78	4	of	of	ADP
ap-1866	78	5	current	current	ADJ
ap-1866	78	6	textbooks	textbook	NOUN
ap-1866	78	7	,	,	PUNCT
ap-1866	78	8	this	this	PRON
ap-1866	78	9	leaves	leave	VERB
ap-1866	78	10	these	these	DET
ap-1866	78	11	purely	purely	ADV
ap-1866	78	12	imaginary	imaginary	ADJ
ap-1866	78	13	complex	complex	ADJ
ap-1866	78	14	conjugate	conjugate	ADJ
ap-1866	78	15	energies	energy	NOUN
ap-1866	78	16	unobservable	unobservable	ADJ
ap-1866	78	17	.	.	PUNCT
ap-1866	79	1	3.2	3.2	NUM
ap-1866	79	2	.	.	PUNCT
ap-1866	80	1	hidden	hide	VERB
ap-1866	80	2	hermiticity	hermiticity	NOUN
ap-1866	80	3	:	:	PUNCT
ap-1866	80	4	the	the	DET
ap-1866	80	5	set	set	NOUN
ap-1866	80	6	of	of	ADP
ap-1866	80	7	all	all	DET
ap-1866	80	8	eligible	eligible	ADJ
ap-1866	80	9	metrics	metric	NOUN
ap-1866	80	10	our	our	PRON
ap-1866	80	11	matrix	matrix	NOUN
ap-1866	80	12	h(2)(λ	h(2)(λ	NOUN
ap-1866	80	13	)	)	PUNCT
ap-1866	80	14	remains	remain	VERB
ap-1866	80	15	diagonalizable	diagonalizable	ADJ
ap-1866	80	16	and	and	CCONJ
ap-1866	80	17	cryptohermitian	cryptohermitian	ADJ
ap-1866	80	18	whenever	whenever	SCONJ
ap-1866	80	19	−1	−1	NOUN
ap-1866	80	20	<	<	X
ap-1866	80	21	λ	λ	X
ap-1866	80	22	=	=	SYM
ap-1866	80	23	sinα	sinα	PROPN
ap-1866	80	24	<	<	X
ap-1866	80	25	1	1	NUM
ap-1866	80	26	,	,	PUNCT
ap-1866	80	27	i.e.	i.e.	X
ap-1866	80	28	,	,	PUNCT
ap-1866	80	29	for	for	ADP
ap-1866	80	30	the	the	DET
ap-1866	80	31	auxiliary	auxiliary	ADJ
ap-1866	80	32	hamiltonian	hamiltonian	NOUN
ap-1866	80	33	-	-	PUNCT
ap-1866	80	34	determining	determine	VERB
ap-1866	80	35	parameter	parameter	NOUN
ap-1866	80	36	α	α	NOUN
ap-1866	80	37	lying	lie	VERB
ap-1866	80	38	inside	inside	ADP
ap-1866	80	39	a	a	DET
ap-1866	80	40	well	well	ADV
ap-1866	80	41	-	-	PUNCT
ap-1866	80	42	defined	define	VERB
ap-1866	80	43	physical	physical	ADJ
ap-1866	80	44	domain	domain	NOUN
ap-1866	80	45	dh	dh	NOUN
ap-1866	80	46	such	such	ADJ
ap-1866	80	47	that	that	SCONJ
ap-1866	80	48	α	α	PROPN
ap-1866	80	49	∈	∈	PROPN
ap-1866	80	50	(	(	PUNCT
ap-1866	80	51	−π/2	−π/2	PROPN
ap-1866	80	52	,	,	PUNCT
ap-1866	80	53	π/2	π/2	NUM
ap-1866	80	54	)	)	PUNCT
ap-1866	80	55	.	.	PUNCT
ap-1866	81	1	in	in	ADP
ap-1866	81	2	such	such	DET
ap-1866	81	3	a	a	DET
ap-1866	81	4	setting	setting	NOUN
ap-1866	81	5	,	,	PUNCT
ap-1866	81	6	matrix	matrix	NOUN
ap-1866	81	7	h(2)(λ	h(2)(λ	NOUN
ap-1866	81	8	)	)	PUNCT
ap-1866	81	9	becomes	become	VERB
ap-1866	81	10	tractable	tractable	ADJ
ap-1866	81	11	as	as	ADP
ap-1866	81	12	a	a	DET
ap-1866	81	13	hamiltonian	hamiltonian	NOUN
ap-1866	81	14	of	of	ADP
ap-1866	81	15	a	a	DET
ap-1866	81	16	hypothetical	hypothetical	ADJ
ap-1866	81	17	quantum	quantum	NOUN
ap-1866	81	18	system	system	NOUN
ap-1866	81	19	whenever	whenever	SCONJ
ap-1866	81	20	it	it	PRON
ap-1866	81	21	satisfies	satisfy	VERB
ap-1866	81	22	the	the	DET
ap-1866	81	23	abovementioned	abovementioned	ADJ
ap-1866	81	24	hidden	hide	VERB
ap-1866	81	25	hermiticity	hermiticity	NOUN
ap-1866	81	26	condition	condition	NOUN
ap-1866	81	27	h	h	NOUN
ap-1866	82	1	=	=	PRON
ap-1866	82	2	h‡	h‡	VERB
ap-1866	82	3	:	:	PUNCT
ap-1866	82	4	=	=	SYM
ap-1866	82	5	θ−1h†θ	θ−1h†θ	PROPN
ap-1866	82	6	.	.	PUNCT
ap-1866	83	1	(	(	PUNCT
ap-1866	83	2	4	4	X
ap-1866	83	3	)	)	PUNCT
ap-1866	83	4	suitable	suitable	ADJ
ap-1866	83	5	candidates	candidate	NOUN
ap-1866	83	6	for	for	ADP
ap-1866	83	7	the	the	DET
ap-1866	83	8	hilbert	hilbert	NOUN
ap-1866	83	9	-	-	PUNCT
ap-1866	83	10	space	space	NOUN
ap-1866	83	11	metric	metric	NOUN
ap-1866	83	12	are	be	AUX
ap-1866	83	13	all	all	PRON
ap-1866	83	14	easily	easily	ADV
ap-1866	83	15	found	find	VERB
ap-1866	83	16	from	from	ADP
ap-1866	83	17	the	the	DET
ap-1866	83	18	latter	latter	ADJ
ap-1866	83	19	linear	linear	NOUN
ap-1866	83	20	equation	equation	NOUN
ap-1866	83	21	,	,	PUNCT
ap-1866	83	22	θ	θ	PROPN
ap-1866	83	23	=	=	SYM
ap-1866	83	24	θ(2	θ(2	PROPN
ap-1866	83	25	)	)	PUNCT
ap-1866	83	26	λ	λ	PROPN
ap-1866	83	27	(	(	PUNCT
ap-1866	83	28	a	a	DET
ap-1866	83	29	,	,	PUNCT
ap-1866	83	30	d	d	NOUN
ap-1866	83	31	)	)	PUNCT
ap-1866	84	1	=	=	NOUN
ap-1866	84	2	[	[	PUNCT
ap-1866	84	3	a	a	PRON
ap-1866	84	4	b	b	PROPN
ap-1866	84	5	b	b	PROPN
ap-1866	84	6	d	d	X
ap-1866	84	7	]	]	PUNCT
ap-1866	84	8	,	,	PUNCT
ap-1866	84	9	b	b	X
ap-1866	84	10	=	=	SYM
ap-1866	84	11	−λ2	−λ2	NOUN
ap-1866	84	12	(	(	PUNCT
ap-1866	84	13	a+	a+	PUNCT
ap-1866	84	14	d	d	NOUN
ap-1866	84	15	)	)	PUNCT
ap-1866	84	16	.	.	PUNCT
ap-1866	85	1	(	(	PUNCT
ap-1866	85	2	5	5	X
ap-1866	85	3	)	)	PUNCT
ap-1866	85	4	all	all	PRON
ap-1866	85	5	of	of	ADP
ap-1866	85	6	their	their	PRON
ap-1866	85	7	eigenvalues	eigenvalue	NOUN
ap-1866	85	8	must	must	AUX
ap-1866	85	9	be	be	AUX
ap-1866	85	10	real	real	ADJ
ap-1866	85	11	and	and	CCONJ
ap-1866	85	12	positive	positive	ADJ
ap-1866	85	13	,	,	PUNCT
ap-1866	85	14	θ±	θ±	PROPN
ap-1866	85	15	=	=	SYM
ap-1866	85	16	1	1	NUM
ap-1866	85	17	2	2	NUM
ap-1866	85	18	[	[	PUNCT
ap-1866	85	19	a+	a+	PUNCT
ap-1866	85	20	d±	d±	PROPN
ap-1866	85	21	√	√	NUM
ap-1866	85	22	(	(	PUNCT
ap-1866	85	23	a−	a−	PROPN
ap-1866	85	24	d)2	d)2	NOUN
ap-1866	85	25	+	+	X
ap-1866	85	26	λ2(a+	λ2(a+	PROPN
ap-1866	85	27	d)2	d)2	NOUN
ap-1866	85	28	]	]	PUNCT
ap-1866	85	29	>	>	X
ap-1866	85	30	0	0	X
ap-1866	85	31	.	.	PUNCT
ap-1866	86	1	(	(	PUNCT
ap-1866	86	2	6	6	X
ap-1866	86	3	)	)	PUNCT
ap-1866	86	4	this	this	PRON
ap-1866	86	5	is	be	AUX
ap-1866	86	6	satisfied	satisfied	ADJ
ap-1866	86	7	for	for	ADP
ap-1866	86	8	any	any	DET
ap-1866	86	9	positive	positive	ADJ
ap-1866	86	10	σ	σ	NOUN
ap-1866	86	11	=	=	PUNCT
ap-1866	87	1	a	a	DET
ap-1866	87	2	+	+	X
ap-1866	87	3	d	d	X
ap-1866	87	4	>	>	X
ap-1866	87	5	0	0	PUNCT
ap-1866	88	1	and	and	CCONJ
ap-1866	88	2	with	with	ADP
ap-1866	88	3	any	any	DET
ap-1866	88	4	real	real	ADJ
ap-1866	88	5	δ	δ	NOUN
ap-1866	88	6	=	=	SYM
ap-1866	88	7	a−	a−	PROPN
ap-1866	88	8	d	d	PROPN
ap-1866	88	9	such	such	ADJ
ap-1866	88	10	that√	that√	X
ap-1866	88	11	1−	1−	NUM
ap-1866	88	12	λ2	λ2	NOUN
ap-1866	88	13	=	=	PUNCT
ap-1866	88	14	cosα	cosα	PROPN
ap-1866	88	15	>	>	X
ap-1866	88	16	δ	δ	PROPN
ap-1866	88	17	σ	σ	X
ap-1866	88	18	>	>	X
ap-1866	88	19	−	−	PROPN
ap-1866	88	20	√	√	NUM
ap-1866	88	21	1−	1−	NUM
ap-1866	88	22	λ2	λ2	NOUN
ap-1866	88	23	=	=	PUNCT
ap-1866	88	24	−	−	PROPN
ap-1866	88	25	cosα	cosα	NOUN
ap-1866	88	26	.	.	PUNCT
ap-1866	89	1	(	(	PUNCT
ap-1866	89	2	7	7	X
ap-1866	89	3	)	)	PUNCT
ap-1866	89	4	without	without	ADP
ap-1866	89	5	loss	loss	NOUN
ap-1866	89	6	of	of	ADP
ap-1866	89	7	generality	generality	NOUN
ap-1866	89	8	we	we	PRON
ap-1866	89	9	may	may	AUX
ap-1866	89	10	set	set	VERB
ap-1866	89	11	σ	σ	NOUN
ap-1866	89	12	=	=	SYM
ap-1866	89	13	2	2	NUM
ap-1866	89	14	,	,	PUNCT
ap-1866	89	15	put	put	VERB
ap-1866	89	16	δ	δ	X
ap-1866	89	17	=	=	PUNCT
ap-1866	89	18	cosα	cosα	PROPN
ap-1866	89	19	cosβ	cosβ	NOUN
ap-1866	89	20	and	and	CCONJ
ap-1866	89	21	treat	treat	VERB
ap-1866	89	22	the	the	DET
ap-1866	89	23	second	second	ADJ
ap-1866	89	24	free	free	ADJ
ap-1866	89	25	parameter	parameter	NOUN
ap-1866	89	26	β	β	X
ap-1866	89	27	∈	∈	PROPN
ap-1866	89	28	(	(	PUNCT
ap-1866	89	29	−π/2	−π/2	PROPN
ap-1866	89	30	,	,	PUNCT
ap-1866	89	31	π/2	π/2	NUM
ap-1866	89	32	)	)	PUNCT
ap-1866	89	33	as	as	ADP
ap-1866	89	34	numbering	number	VERB
ap-1866	89	35	the	the	DET
ap-1866	89	36	admissible	admissible	ADJ
ap-1866	89	37	metrics	metric	NOUN
ap-1866	89	38	θ(2	θ(2	PROPN
ap-1866	89	39	)	)	PUNCT
ap-1866	89	40	(	(	PUNCT
ap-1866	89	41	physical	physical	NOUN
ap-1866	89	42	)	)	PUNCT
ap-1866	89	43	=	=	PUNCT
ap-1866	90	1	[	[	PUNCT
ap-1866	90	2	1	1	NUM
ap-1866	90	3	+	+	CCONJ
ap-1866	90	4	cosα	cosα	NOUN
ap-1866	90	5	cosβ	cosβ	NOUN
ap-1866	90	6	−	−	PROPN
ap-1866	90	7	sinα	sinα	PROPN
ap-1866	90	8	−	−	PROPN
ap-1866	90	9	sinα	sinα	NOUN
ap-1866	90	10	1−	1−	NUM
ap-1866	90	11	cosα	cosα	NOUN
ap-1866	90	12	cosβ	cosβ	NOUN
ap-1866	90	13	]	]	PUNCT
ap-1866	90	14	(	(	PUNCT
ap-1866	90	15	8)	8)	NUM
ap-1866	90	16	with	with	ADP
ap-1866	90	17	eigenvalues	eigenvalue	NOUN
ap-1866	90	18	θ±	θ±	PROPN
ap-1866	90	19	=	=	SYM
ap-1866	90	20	1±	1±	NUM
ap-1866	90	21	√	√	NUM
ap-1866	90	22	1−	1−	NUM
ap-1866	90	23	cos2	cos2	PROPN
ap-1866	90	24	α	α	PROPN
ap-1866	90	25	sin2	sin2	PROPN
ap-1866	90	26	β	β	X
ap-1866	90	27	>	>	X
ap-1866	90	28	0	0	X
ap-1866	90	29	.	.	PUNCT
ap-1866	91	1	(	(	PUNCT
ap-1866	91	2	9	9	NUM
ap-1866	91	3	)	)	PUNCT
ap-1866	91	4	thus	thus	ADV
ap-1866	91	5	,	,	PUNCT
ap-1866	91	6	all	all	PRON
ap-1866	91	7	of	of	ADP
ap-1866	91	8	the	the	DET
ap-1866	91	9	eligible	eligible	ADJ
ap-1866	91	10	physical	physical	ADJ
ap-1866	91	11	hilbert	hilbert	NOUN
ap-1866	91	12	spaces	space	NOUN
ap-1866	91	13	are	be	AUX
ap-1866	91	14	numbered	number	VERB
ap-1866	91	15	by	by	ADP
ap-1866	91	16	two	two	NUM
ap-1866	91	17	parameters	parameter	NOUN
ap-1866	91	18	,	,	PUNCT
ap-1866	91	19	h(s	h(s	PROPN
ap-1866	91	20	)	)	PUNCT
ap-1866	91	21	=	=	SYM
ap-1866	92	1	h(s)(α	h(s)(α	NOUN
ap-1866	92	2	,	,	PUNCT
ap-1866	92	3	β	β	NOUN
ap-1866	92	4	)	)	PUNCT
ap-1866	92	5	.	.	PUNCT
ap-1866	93	1	3.3	3.3	NUM
ap-1866	93	2	.	.	PUNCT
ap-1866	94	1	the	the	DET
ap-1866	94	2	second	second	ADJ
ap-1866	94	3	observable	observable	ADJ
ap-1866	94	4	q	q	NOUN
ap-1866	94	5	=	=	PUNCT
ap-1866	94	6	q‡	q‡	ADJ
ap-1866	94	7	what	what	PRON
ap-1866	94	8	we	we	PRON
ap-1866	94	9	now	now	ADV
ap-1866	94	10	need	need	VERB
ap-1866	94	11	is	be	AUX
ap-1866	94	12	the	the	DET
ap-1866	94	13	specification	specification	NOUN
ap-1866	94	14	of	of	ADP
ap-1866	94	15	the	the	DET
ap-1866	94	16	domain	domain	NOUN
ap-1866	94	17	dq	dq	NOUN
ap-1866	94	18	.	.	PUNCT
ap-1866	95	1	for	for	SCONJ
ap-1866	95	2	the	the	DET
ap-1866	95	3	general	general	ADJ
ap-1866	95	4	four	four	NUM
ap-1866	95	5	-	-	PUNCT
ap-1866	95	6	parametric	parametric	ADJ
ap-1866	95	7	real	real	ADJ
ap-1866	95	8	-	-	PUNCT
ap-1866	95	9	matrix	matrix	NOUN
ap-1866	95	10	ansatz	ansatz	NOUN
ap-1866	95	11	q̃	q̃	PROPN
ap-1866	96	1	=	=	SYM
ap-1866	96	2	[	[	PUNCT
ap-1866	96	3	w	w	NOUN
ap-1866	96	4	x	x	SYM
ap-1866	96	5	y	y	PROPN
ap-1866	96	6	z	z	PROPN
ap-1866	96	7	]	]	PUNCT
ap-1866	96	8	(	(	PUNCT
ap-1866	96	9	10	10	NUM
ap-1866	96	10	)	)	PUNCT
ap-1866	96	11	the	the	DET
ap-1866	96	12	assumption	assumption	NOUN
ap-1866	96	13	of	of	ADP
ap-1866	96	14	observability	observability	NOUN
ap-1866	96	15	implies	imply	VERB
ap-1866	96	16	that	that	SCONJ
ap-1866	96	17	the	the	DET
ap-1866	96	18	eigenvalues	eigenvalue	NOUN
ap-1866	96	19	must	must	AUX
ap-1866	96	20	be	be	AUX
ap-1866	96	21	both	both	ADV
ap-1866	96	22	real	real	ADJ
ap-1866	96	23	and	and	CCONJ
ap-1866	96	24	non	non	ADJ
ap-1866	96	25	-	-	ADJ
ap-1866	96	26	degenerate	degenerate	ADJ
ap-1866	96	27	,	,	PUNCT
ap-1866	96	28	4xy	4xy	ADJ
ap-1866	96	29	>	>	X
ap-1866	96	30	−(w	−(w	PROPN
ap-1866	96	31	−	−	PROPN
ap-1866	96	32	z)2	z)2	PROPN
ap-1866	96	33	.	.	PUNCT
ap-1866	97	1	(	(	PUNCT
ap-1866	97	2	11	11	NUM
ap-1866	97	3	)	)	PUNCT
ap-1866	97	4	once	once	SCONJ
ap-1866	97	5	we	we	PRON
ap-1866	97	6	shift	shift	VERB
ap-1866	97	7	the	the	DET
ap-1866	97	8	origin	origin	NOUN
ap-1866	97	9	and	and	CCONJ
ap-1866	97	10	rescale	rescale	VERB
ap-1866	97	11	the	the	DET
ap-1866	97	12	units	unit	NOUN
ap-1866	97	13	we	we	PRON
ap-1866	97	14	may	may	AUX
ap-1866	97	15	set	set	VERB
ap-1866	97	16	,	,	PUNCT
ap-1866	97	17	without	without	ADP
ap-1866	97	18	loss	loss	NOUN
ap-1866	97	19	of	of	ADP
ap-1866	97	20	generality	generality	NOUN
ap-1866	97	21	,	,	PUNCT
ap-1866	97	22	w	w	NOUN
ap-1866	97	23	=	=	SYM
ap-1866	97	24	−z	−z	NOUN
ap-1866	97	25	=	=	SYM
ap-1866	97	26	−1	−1	NOUN
ap-1866	97	27	.	.	PUNCT
ap-1866	98	1	this	this	DET
ap-1866	98	2	simplifies	simplify	VERB
ap-1866	98	3	the	the	DET
ap-1866	98	4	latter	latter	ADJ
ap-1866	98	5	condition	condition	NOUN
ap-1866	98	6	yielding	yield	VERB
ap-1866	98	7	our	our	PRON
ap-1866	98	8	final	final	ADJ
ap-1866	98	9	untilded	untilded	ADJ
ap-1866	98	10	two	two	NUM
ap-1866	98	11	-	-	PUNCT
ap-1866	98	12	parametric	parametric	NOUN
ap-1866	98	13	ansatz	ansatz	ADJ
ap-1866	98	14	q	q	NOUN
ap-1866	99	1	=	=	X
ap-1866	99	2	[	[	PUNCT
ap-1866	99	3	−1	−1	NOUN
ap-1866	99	4	x	x	SYM
ap-1866	99	5	y	y	NOUN
ap-1866	99	6	1	1	NUM
ap-1866	99	7	]	]	PUNCT
ap-1866	99	8	,	,	PUNCT
ap-1866	99	9	xy	xy	PROPN
ap-1866	99	10	>	>	X
ap-1866	99	11	−1	−1	NOUN
ap-1866	99	12	.	.	PUNCT
ap-1866	100	1	(	(	PUNCT
ap-1866	100	2	12	12	NUM
ap-1866	100	3	)	)	PUNCT
ap-1866	100	4	at	at	ADP
ap-1866	100	5	any	any	DET
ap-1866	100	6	fixed	fix	VERB
ap-1866	100	7	metric	metric	ADJ
ap-1866	100	8	θ(2	θ(2	PROPN
ap-1866	100	9	)	)	PUNCT
ap-1866	100	10	(	(	PUNCT
ap-1866	100	11	physical	physical	NOUN
ap-1866	100	12	)	)	PUNCT
ap-1866	100	13	the	the	DET
ap-1866	100	14	crypto	crypto	ADJ
ap-1866	100	15	-	-	ADJ
ap-1866	100	16	hermiticity	hermiticity	ADJ
ap-1866	100	17	constraint	constraint	NOUN
ap-1866	100	18	(	(	PUNCT
ap-1866	100	19	4	4	NUM
ap-1866	100	20	)	)	PUNCT
ap-1866	100	21	imposed	impose	VERB
ap-1866	100	22	upon	upon	SCONJ
ap-1866	100	23	matrix	matrix	NOUN
ap-1866	100	24	(	(	PUNCT
ap-1866	100	25	12	12	NUM
ap-1866	100	26	)	)	PUNCT
ap-1866	100	27	degenerates	degenerate	NOUN
ap-1866	100	28	to	to	ADP
ap-1866	100	29	the	the	DET
ap-1866	100	30	single	single	ADJ
ap-1866	100	31	relation	relation	NOUN
ap-1866	100	32	x−	x−	PROPN
ap-1866	100	33	y	y	PROPN
ap-1866	100	34	=	=	SYM
ap-1866	100	35	2	2	NUM
ap-1866	100	36	sinα−	sinα−	NOUN
ap-1866	100	37	(	(	PUNCT
ap-1866	100	38	x+	x+	ADJ
ap-1866	100	39	y	y	PROPN
ap-1866	100	40	)	)	PUNCT
ap-1866	100	41	cosα	cosα	PROPN
ap-1866	100	42	cosβ	cosβ	NOUN
ap-1866	100	43	.	.	PUNCT
ap-1866	101	1	(	(	PUNCT
ap-1866	101	2	13	13	NUM
ap-1866	101	3	)	)	PUNCT
ap-1866	101	4	the	the	DET
ap-1866	101	5	sum	sum	NOUN
ap-1866	101	6	s	s	PART
ap-1866	101	7	=	=	PUNCT
ap-1866	101	8	x+	x+	ADJ
ap-1866	101	9	y	y	PROPN
ap-1866	101	10	may	may	AUX
ap-1866	101	11	be	be	AUX
ap-1866	101	12	now	now	ADV
ap-1866	101	13	treated	treat	VERB
ap-1866	101	14	as	as	ADP
ap-1866	101	15	the	the	DET
ap-1866	101	16	single	single	ADJ
ap-1866	101	17	free	free	ADJ
ap-1866	101	18	real	real	ADJ
ap-1866	101	19	variable	variable	NOUN
ap-1866	101	20	which	which	PRON
ap-1866	101	21	numbers	number	VERB
ap-1866	101	22	the	the	DET
ap-1866	101	23	eligible	eligible	ADJ
ap-1866	101	24	second	second	ADJ
ap-1866	101	25	observables	observable	NOUN
ap-1866	101	26	.	.	PUNCT
ap-1866	102	1	the	the	DET
ap-1866	102	2	range	range	NOUN
ap-1866	102	3	of	of	ADP
ap-1866	102	4	this	this	DET
ap-1866	102	5	variable	variable	NOUN
ap-1866	102	6	should	should	AUX
ap-1866	102	7	comply	comply	VERB
ap-1866	102	8	with	with	ADP
ap-1866	102	9	the	the	DET
ap-1866	102	10	inequality	inequality	NOUN
ap-1866	102	11	in	in	ADP
ap-1866	102	12	eq	eq	ADP
ap-1866	102	13	.	.	PUNCT
ap-1866	103	1	(	(	PUNCT
ap-1866	103	2	12	12	NUM
ap-1866	103	3	)	)	PUNCT
ap-1866	103	4	.	.	PUNCT
ap-1866	104	1	after	after	ADP
ap-1866	104	2	some	some	DET
ap-1866	104	3	straightforward	straightforward	ADJ
ap-1866	104	4	additional	additional	ADJ
ap-1866	104	5	calculations	calculation	NOUN
ap-1866	104	6	one	one	PRON
ap-1866	104	7	proves	prove	VERB
ap-1866	104	8	that	that	SCONJ
ap-1866	104	9	the	the	DET
ap-1866	104	10	physical	physical	ADJ
ap-1866	104	11	values	value	NOUN
ap-1866	104	12	of	of	ADP
ap-1866	104	13	our	our	PRON
ap-1866	104	14	last	last	ADJ
ap-1866	104	15	free	free	ADJ
ap-1866	104	16	parameter	parameter	NOUN
ap-1866	104	17	remain	remain	VERB
ap-1866	104	18	unrestricted	unrestricted	ADJ
ap-1866	104	19	,	,	PUNCT
ap-1866	104	20	s	s	VERB
ap-1866	104	21	∈	∈	PROPN
ap-1866	104	22	r	r	NOUN
ap-1866	104	23	,	,	PUNCT
ap-1866	104	24	due	due	ADP
ap-1866	104	25	to	to	ADP
ap-1866	104	26	the	the	DET
ap-1866	104	27	validity	validity	NOUN
ap-1866	104	28	of	of	ADP
ap-1866	104	29	eq	eq	PROPN
ap-1866	104	30	.	.	PUNCT
ap-1866	105	1	(	(	PUNCT
ap-1866	105	2	13	13	NUM
ap-1866	105	3	)	)	PUNCT
ap-1866	105	4	.	.	PUNCT
ap-1866	106	1	we	we	PRON
ap-1866	106	2	may	may	AUX
ap-1866	106	3	conclude	conclude	VERB
ap-1866	106	4	that	that	SCONJ
ap-1866	106	5	our	our	PRON
ap-1866	106	6	example	example	NOUN
ap-1866	106	7	is	be	AUX
ap-1866	106	8	fully	fully	ADV
ap-1866	106	9	non	non	ADJ
ap-1866	106	10	-	-	ADJ
ap-1866	106	11	numerical	numerical	ADJ
ap-1866	106	12	.	.	PUNCT
ap-1866	107	1	it	it	PRON
ap-1866	107	2	also	also	ADV
ap-1866	107	3	offers	offer	VERB
ap-1866	107	4	the	the	DET
ap-1866	107	5	simplest	simple	ADJ
ap-1866	107	6	nontrivial	nontrivial	ADJ
ap-1866	107	7	explicit	explicit	ADJ
ap-1866	107	8	illustration	illustration	NOUN
ap-1866	107	9	of	of	ADP
ap-1866	107	10	the	the	DET
ap-1866	107	11	generic	generic	ADJ
ap-1866	107	12	pattern	pattern	NOUN
ap-1866	107	13	as	as	SCONJ
ap-1866	107	14	displayed	display	VERB
ap-1866	107	15	in	in	ADP
ap-1866	107	16	fig	fig	NOUN
ap-1866	107	17	.	.	PUNCT
ap-1866	108	1	1	1	NUM
ap-1866	108	2	.	.	X
ap-1866	108	3	4	4	X
ap-1866	108	4	.	.	X
ap-1866	108	5	hilbert	hilbert	PROPN
ap-1866	108	6	spaces	space	NOUN
ap-1866	108	7	h(f	h(f	PROPN
ap-1866	108	8	)	)	PUNCT
ap-1866	108	9	of	of	ADP
ap-1866	108	10	dimension	dimension	NOUN
ap-1866	108	11	n	n	CCONJ
ap-1866	108	12	4.1	4.1	NUM
ap-1866	108	13	.	.	PUNCT
ap-1866	109	1	anharmonic	anharmonic	ADJ
ap-1866	109	2	hamiltonians	hamiltonian	NOUN
ap-1866	109	3	during	during	ADP
ap-1866	109	4	the	the	DET
ap-1866	109	5	developments	development	NOUN
ap-1866	109	6	of	of	ADP
ap-1866	109	7	mathematics	mathematic	NOUN
ap-1866	109	8	for	for	ADP
ap-1866	109	9	quantum	quantum	NOUN
ap-1866	109	10	theory	theory	NOUN
ap-1866	109	11	,	,	PUNCT
ap-1866	109	12	one	one	NUM
ap-1866	109	13	of	of	ADP
ap-1866	109	14	the	the	DET
ap-1866	109	15	most	most	ADV
ap-1866	109	16	natural	natural	ADJ
ap-1866	109	17	paths	path	NOUN
ap-1866	109	18	of	of	ADP
ap-1866	109	19	research	research	NOUN
ap-1866	109	20	started	start	VERB
ap-1866	109	21	from	from	ADP
ap-1866	109	22	the	the	DET
ap-1866	109	23	exactly	exactly	ADV
ap-1866	109	24	solvable	solvable	ADJ
ap-1866	109	25	harmonic	harmonic	ADJ
ap-1866	109	26	-	-	PUNCT
ap-1866	109	27	oscillator	oscillator	NOUN
ap-1866	109	28	potential	potential	NOUN
ap-1866	109	29	v	v	NOUN
ap-1866	109	30	(	(	PUNCT
ap-1866	109	31	ho)(x	ho)(x	PROPN
ap-1866	109	32	)	)	PUNCT
ap-1866	109	33	=	=	NOUN
ap-1866	109	34	ω2x2	ω2x2	NOUN
ap-1866	109	35	and	and	CCONJ
ap-1866	109	36	from	from	ADP
ap-1866	109	37	its	its	PRON
ap-1866	109	38	power	power	NOUN
ap-1866	109	39	-	-	PUNCT
ap-1866	109	40	law	law	NOUN
ap-1866	109	41	perturbations	perturbation	NOUN
ap-1866	109	42	v	v	ADP
ap-1866	109	43	(	(	PUNCT
ap-1866	109	44	aho)(x	aho)(x	ADV
ap-1866	109	45	)	)	PUNCT
ap-1866	109	46	=	=	PUNCT
ap-1866	110	1	ω2x2	ω2x2	X
ap-1866	110	2	+	+	CCONJ
ap-1866	110	3	gxm	gxm	NOUN
ap-1866	110	4	.	.	PUNCT
ap-1866	111	1	perturbation	perturbation	NOUN
ap-1866	111	2	expansions	expansion	NOUN
ap-1866	111	3	of	of	ADP
ap-1866	111	4	energies	energy	NOUN
ap-1866	111	5	proved	prove	VERB
ap-1866	111	6	available	available	ADJ
ap-1866	111	7	even	even	ADV
ap-1866	111	8	at	at	ADP
ap-1866	111	9	the	the	DET
ap-1866	111	10	“	"	PUNCT
ap-1866	111	11	unusual	unusual	ADJ
ap-1866	111	12	”	"	PUNCT
ap-1866	111	13	,	,	PUNCT
ap-1866	111	14	complex	complex	ADJ
ap-1866	111	15	values	value	NOUN
ap-1866	111	16	of	of	ADP
ap-1866	111	17	the	the	DET
ap-1866	111	18	coupling	coupling	NOUN
ap-1866	111	19	constants	constant	NOUN
ap-1866	111	20	g	g	PROPN
ap-1866	111	21	/∈	/∈	PUNCT
ap-1866	111	22	r+	r+	X
ap-1866	111	23	.	.	PUNCT
ap-1866	112	1	the	the	DET
ap-1866	112	2	particularly	particularly	ADV
ap-1866	112	3	interesting	interesting	ADJ
ap-1866	112	4	mathematical	mathematical	ADJ
ap-1866	112	5	results	result	NOUN
ap-1866	112	6	have	have	AUX
ap-1866	112	7	been	be	AUX
ap-1866	112	8	obtained	obtain	VERB
ap-1866	112	9	at	at	ADP
ap-1866	112	10	m	m	PROPN
ap-1866	112	11	=	=	NOUN
ap-1866	112	12	3	3	NUM
ap-1866	112	13	and	and	CCONJ
ap-1866	112	14	at	at	ADP
ap-1866	112	15	m	m	PROPN
ap-1866	112	16	=	=	NOUN
ap-1866	112	17	4	4	X
ap-1866	112	18	.	.	X
ap-1866	113	1	in	in	ADP
ap-1866	113	2	physics	physics	NOUN
ap-1866	113	3	and	and	CCONJ
ap-1866	113	4	,	,	PUNCT
ap-1866	113	5	in	in	ADP
ap-1866	113	6	particular	particular	ADJ
ap-1866	113	7	,	,	PUNCT
ap-1866	113	8	in	in	ADP
ap-1866	113	9	quantum	quantum	ADJ
ap-1866	113	10	field	field	NOUN
ap-1866	113	11	theory	theory	NOUN
ap-1866	113	12	the	the	DET
ap-1866	113	13	climax	climax	NOUN
ap-1866	113	14	of	of	ADP
ap-1866	113	15	the	the	DET
ap-1866	113	16	story	story	NOUN
ap-1866	113	17	came	come	VERB
ap-1866	113	18	with	with	ADP
ap-1866	113	19	the	the	DET
ap-1866	113	20	letter	letter	NOUN
ap-1866	113	21	[	[	X
ap-1866	113	22	12	12	NUM
ap-1866	113	23	]	]	PUNCT
ap-1866	113	24	where	where	SCONJ
ap-1866	113	25	,	,	PUNCT
ap-1866	113	26	under	under	ADP
ap-1866	113	27	suitable	suitable	ADJ
ap-1866	113	28	ad	ad	X
ap-1866	113	29	hoc	hoc	X
ap-1866	113	30	boundary	boundary	ADJ
ap-1866	113	31	conditions	condition	NOUN
ap-1866	113	32	and	and	CCONJ
ap-1866	113	33	constraints	constraint	NOUN
ap-1866	113	34	upon	upon	SCONJ
ap-1866	113	35	g	g	NOUN
ap-1866	113	36	=	=	PUNCT
ap-1866	113	37	g(m	g(m	PROPN
ap-1866	113	38	)	)	PUNCT
ap-1866	113	39	(	(	PUNCT
ap-1866	113	40	called	call	VERB
ap-1866	113	41	,	,	PUNCT
ap-1866	113	42	conveniently	conveniently	ADV
ap-1866	113	43	,	,	PUNCT
ap-1866	113	44	pt	pt	PROPN
ap-1866	113	45	-symmetry	-symmetry	NOUN
ap-1866	113	46	)	)	PUNCT
ap-1866	113	47	,	,	PUNCT
ap-1866	113	48	the	the	DET
ap-1866	113	49	robust	robust	ADJ
ap-1866	113	50	reality	reality	NOUN
ap-1866	113	51	(	(	PUNCT
ap-1866	113	52	i.e.	i.e.	X
ap-1866	113	53	,	,	PUNCT
ap-1866	113	54	in	in	ADP
ap-1866	113	55	principle	principle	NOUN
ap-1866	113	56	,	,	PUNCT
ap-1866	113	57	observability	observability	NOUN
ap-1866	113	58	)	)	PUNCT
ap-1866	113	59	of	of	ADP
ap-1866	113	60	the	the	DET
ap-1866	113	61	spectrum	spectrum	NOUN
ap-1866	113	62	was	be	AUX
ap-1866	113	63	achieved	achieve	VERB
ap-1866	113	64	at	at	ADP
ap-1866	113	65	any	any	DET
ap-1866	113	66	real	real	ADJ
ap-1866	113	67	exponent	exponent	NOUN
ap-1866	113	68	m	m	VERB
ap-1866	113	69	>	>	X
ap-1866	113	70	2	2	NUM
ap-1866	113	71	even	even	ADV
ap-1866	113	72	for	for	ADP
ap-1866	113	73	certain	certain	ADJ
ap-1866	113	74	unusual	unusual	ADJ
ap-1866	113	75	,	,	PUNCT
ap-1866	113	76	complex	complex	ADJ
ap-1866	113	77	values	value	NOUN
ap-1866	113	78	of	of	ADP
ap-1866	113	79	the	the	DET
ap-1866	113	80	coupling	coupling	NOUN
ap-1866	113	81	.	.	PUNCT
ap-1866	114	1	it	it	PRON
ap-1866	114	2	has	have	AUX
ap-1866	114	3	been	be	AUX
ap-1866	114	4	long	long	ADV
ap-1866	114	5	believed	believe	VERB
ap-1866	114	6	that	that	SCONJ
ap-1866	114	7	the	the	DET
ap-1866	114	8	pt	pt	NOUN
ap-1866	114	9	-symmetric	-symmetric	ADJ
ap-1866	114	10	hamiltonians	hamiltonian	NOUN
ap-1866	114	11	h	h	NOUN
ap-1866	114	12	=	=	SYM
ap-1866	114	13	h(m	h(m	X
ap-1866	114	14	)	)	PUNCT
ap-1866	114	15	with	with	ADP
ap-1866	114	16	real	real	ADJ
ap-1866	114	17	spectra	spectra	NOUN
ap-1866	114	18	are	be	AUX
ap-1866	114	19	all	all	ADV
ap-1866	114	20	consistent	consistent	ADJ
ap-1866	114	21	with	with	ADP
ap-1866	114	22	the	the	DET
ap-1866	114	23	postulates	postulate	NOUN
ap-1866	114	24	of	of	ADP
ap-1866	114	25	quantum	quantum	NOUN
ap-1866	114	26	theory	theory	NOUN
ap-1866	114	27	,	,	PUNCT
ap-1866	114	28	i.e.	i.e.	X
ap-1866	114	29	,	,	PUNCT
ap-1866	114	30	that	that	SCONJ
ap-1866	114	31	these	these	DET
ap-1866	114	32	operators	operator	NOUN
ap-1866	114	33	are	be	AUX
ap-1866	114	34	crypto	crypto	ADJ
ap-1866	114	35	-	-	ADJ
ap-1866	114	36	hermitian	hermitian	ADJ
ap-1866	114	37	,	,	PUNCT
ap-1866	114	38	i.e.	i.e.	X
ap-1866	114	39	,	,	PUNCT
ap-1866	114	40	hermitian	hermitian	NOUN
ap-1866	114	41	in	in	ADP
ap-1866	114	42	the	the	DET
ap-1866	114	43	respective	respective	ADJ
ap-1866	114	44	hamiltonian	hamiltonian	ADJ
ap-1866	114	45	-	-	PUNCT
ap-1866	114	46	adapted	adapt	VERB
ap-1866	114	47	hilbert	hilbert	NOUN
ap-1866	114	48	spaces	space	NOUN
ap-1866	114	49	h(s)(m	h(s)(m	X
ap-1866	114	50	)	)	PUNCT
ap-1866	115	1	[	[	X
ap-1866	115	2	4	4	NUM
ap-1866	115	3	]	]	PUNCT
ap-1866	115	4	.	.	PUNCT
ap-1866	116	1	due	due	ADP
ap-1866	116	2	to	to	ADP
ap-1866	116	3	the	the	DET
ap-1866	116	4	ill	ill	ADV
ap-1866	116	5	-	-	PUNCT
ap-1866	116	6	behaved	behave	VERB
ap-1866	116	7	nature	nature	NOUN
ap-1866	116	8	of	of	ADP
ap-1866	116	9	the	the	DET
ap-1866	116	10	wave	wave	NOUN
ap-1866	116	11	functions	function	NOUN
ap-1866	116	12	at	at	ADP
ap-1866	116	13	high	high	ADJ
ap-1866	116	14	excitations	excitation	NOUN
ap-1866	116	15	,	,	PUNCT
ap-1866	116	16	unfortunately	unfortunately	ADV
ap-1866	116	17	,	,	PUNCT
ap-1866	116	18	such	such	DET
ap-1866	116	19	a	a	DET
ap-1866	116	20	simple	simple	ADJ
ap-1866	116	21	-	-	PUNCT
ap-1866	116	22	minded	minded	ADJ
ap-1866	116	23	physical	physical	ADJ
ap-1866	116	24	interpretation	interpretation	NOUN
ap-1866	116	25	of	of	ADP
ap-1866	116	26	these	these	DET
ap-1866	116	27	models	model	NOUN
ap-1866	116	28	has	have	AUX
ap-1866	116	29	been	be	AUX
ap-1866	116	30	shown	show	VERB
ap-1866	116	31	contradictory	contradictory	ADJ
ap-1866	116	32	[	[	X
ap-1866	116	33	6	6	NUM
ap-1866	116	34	]	]	PUNCT
ap-1866	116	35	.	.	PUNCT
ap-1866	117	1	on	on	ADP
ap-1866	117	2	these	these	DET
ap-1866	117	3	grounds	ground	NOUN
ap-1866	117	4	one	one	PRON
ap-1866	117	5	has	have	VERB
ap-1866	117	6	to	to	PART
ap-1866	117	7	develop	develop	VERB
ap-1866	117	8	some	some	DET
ap-1866	117	9	more	more	ADV
ap-1866	117	10	robust	robust	ADJ
ap-1866	117	11	approaches	approach	NOUN
ap-1866	117	12	to	to	ADP
ap-1866	117	13	the	the	DET
ap-1866	117	14	theory	theory	NOUN
ap-1866	117	15	for	for	ADP
ap-1866	117	16	similar	similar	ADJ
ap-1866	117	17	models	model	NOUN
ap-1866	117	18	in	in	ADP
ap-1866	117	19	the	the	DET
ap-1866	117	20	nearest	near	ADJ
ap-1866	117	21	future	future	NOUN
ap-1866	117	22	.	.	PUNCT
ap-1866	118	1	475	475	NUM
ap-1866	118	2	m.	m.	NOUN
ap-1866	118	3	znojil	znojil	PROPN
ap-1866	118	4	acta	acta	PROPN
ap-1866	118	5	polytechnica	polytechnica	PROPN
ap-1866	118	6	in	in	ADP
ap-1866	118	7	our	our	PRON
ap-1866	118	8	present	present	ADJ
ap-1866	118	9	paper	paper	NOUN
ap-1866	118	10	we	we	PRON
ap-1866	118	11	will	will	AUX
ap-1866	118	12	avoid	avoid	VERB
ap-1866	118	13	such	such	DET
ap-1866	118	14	a	a	DET
ap-1866	118	15	danger	danger	NOUN
ap-1866	118	16	by	by	ADP
ap-1866	118	17	recalling	recall	VERB
ap-1866	118	18	the	the	DET
ap-1866	118	19	original	original	ADJ
ap-1866	118	20	philosophy	philosophy	NOUN
ap-1866	118	21	of	of	ADP
ap-1866	118	22	scholtz	scholtz	NOUN
ap-1866	118	23	et	et	PROPN
ap-1866	118	24	al	al	PROPN
ap-1866	119	1	[	[	X
ap-1866	119	2	2	2	NUM
ap-1866	119	3	]	]	PUNCT
ap-1866	119	4	.	.	PUNCT
ap-1866	120	1	they	they	PRON
ap-1866	120	2	simplified	simplify	VERB
ap-1866	120	3	the	the	DET
ap-1866	120	4	mathematics	mathematic	NOUN
ap-1866	120	5	by	by	ADP
ap-1866	120	6	admitting	admit	VERB
ap-1866	120	7	,	,	PUNCT
ap-1866	120	8	from	from	ADP
ap-1866	120	9	the	the	DET
ap-1866	120	10	very	very	ADJ
ap-1866	120	11	beginning	beginning	NOUN
ap-1866	120	12	,	,	PUNCT
ap-1866	120	13	that	that	SCONJ
ap-1866	120	14	just	just	ADV
ap-1866	120	15	the	the	DET
ap-1866	120	16	bounded	bound	VERB
ap-1866	120	17	-	-	PUNCT
ap-1866	120	18	operator	operator	NOUN
ap-1866	120	19	and/or	and/or	CCONJ
ap-1866	120	20	discrete	discrete	ADJ
ap-1866	120	21	forms	form	NOUN
ap-1866	120	22	of	of	ADP
ap-1866	120	23	the	the	DET
ap-1866	120	24	eligible	eligible	ADJ
ap-1866	120	25	anharmonic	anharmonic	ADJ
ap-1866	120	26	-	-	PUNCT
ap-1866	120	27	type	type	NOUN
ap-1866	120	28	toy	toy	NOUN
ap-1866	120	29	-	-	PUNCT
ap-1866	120	30	model	model	NOUN
ap-1866	120	31	hamiltonians	hamiltonians	PROPN
ap-1866	120	32	h	h	PROPN
ap-1866	120	33	6=	6=	NUM
ap-1866	120	34	h†	h†	PRON
ap-1866	120	35	should	should	AUX
ap-1866	120	36	be	be	AUX
ap-1866	120	37	considered	consider	VERB
ap-1866	120	38	.	.	PUNCT
ap-1866	121	1	4.2	4.2	NUM
ap-1866	121	2	.	.	PUNCT
ap-1866	121	3	discrete	discrete	ADJ
ap-1866	121	4	hamiltonians	hamiltonian	NOUN
ap-1866	121	5	for	for	ADP
ap-1866	121	6	our	our	PRON
ap-1866	121	7	present	present	ADJ
ap-1866	121	8	illustrative	illustrative	ADJ
ap-1866	121	9	purposes	purpose	NOUN
ap-1866	121	10	we	we	PRON
ap-1866	121	11	intend	intend	VERB
ap-1866	121	12	to	to	PART
ap-1866	121	13	recall	recall	VERB
ap-1866	121	14	,	,	PUNCT
ap-1866	121	15	first	first	ADV
ap-1866	121	16	of	of	ADP
ap-1866	121	17	all	all	PRON
ap-1866	121	18	,	,	PUNCT
ap-1866	121	19	one	one	NUM
ap-1866	121	20	of	of	ADP
ap-1866	121	21	the	the	DET
ap-1866	121	22	most	most	ADV
ap-1866	121	23	elementary	elementary	ADJ
ap-1866	121	24	versions	version	NOUN
ap-1866	121	25	of	of	ADP
ap-1866	121	26	certain	certain	ADJ
ap-1866	121	27	general	general	ADJ
ap-1866	121	28	,	,	PUNCT
ap-1866	121	29	n−dimensional	n−dimensional	ADJ
ap-1866	121	30	matrix	matrix	NOUN
ap-1866	121	31	analogues	analogue	NOUN
ap-1866	121	32	of	of	ADP
ap-1866	121	33	the	the	DET
ap-1866	121	34	differential	differential	ADJ
ap-1866	121	35	toy	toy	NOUN
ap-1866	121	36	-	-	PUNCT
ap-1866	121	37	model	model	NOUN
ap-1866	121	38	hamiltonians	hamiltonian	NOUN
ap-1866	121	39	,	,	PUNCT
ap-1866	121	40	which	which	PRON
ap-1866	121	41	were	be	AUX
ap-1866	121	42	proposed	propose	VERB
ap-1866	121	43	in	in	ADP
ap-1866	121	44	refs	ref	NOUN
ap-1866	121	45	.	.	PUNCT
ap-1866	122	1	[	[	X
ap-1866	122	2	13	13	NUM
ap-1866	122	3	]	]	PUNCT
ap-1866	122	4	.	.	PUNCT
ap-1866	123	1	referring	refer	VERB
ap-1866	123	2	to	to	ADP
ap-1866	123	3	the	the	DET
ap-1866	123	4	details	detail	NOUN
ap-1866	123	5	as	as	SCONJ
ap-1866	123	6	described	describe	VERB
ap-1866	123	7	in	in	ADP
ap-1866	123	8	that	that	DET
ap-1866	123	9	paper	paper	NOUN
ap-1866	123	10	,	,	PUNCT
ap-1866	123	11	let	let	VERB
ap-1866	123	12	us	we	PRON
ap-1866	123	13	merely	merely	ADV
ap-1866	123	14	recollect	recollect	VERB
ap-1866	123	15	that	that	SCONJ
ap-1866	123	16	these	these	DET
ap-1866	123	17	hamiltonians	hamiltonian	NOUN
ap-1866	123	18	are	be	AUX
ap-1866	123	19	defined	define	VERB
ap-1866	123	20	as	as	ADP
ap-1866	123	21	certain	certain	ADJ
ap-1866	123	22	tridiagonal	tridiagonal	ADJ
ap-1866	123	23	and	and	CCONJ
ap-1866	123	24	real	real	ADJ
ap-1866	123	25	matrices	matrix	NOUN
ap-1866	123	26	h(n	h(n	PROPN
ap-1866	123	27	)	)	PUNCT
ap-1866	124	1	=	=	SYM
ap-1866	124	2	h	h	NOUN
ap-1866	124	3	(	(	PUNCT
ap-1866	124	4	n	n	CCONJ
ap-1866	124	5	)	)	PUNCT
ap-1866	124	6	0	0	PUNCT
ap-1866	125	1	+	+	CCONJ
ap-1866	125	2	v	v	NUM
ap-1866	125	3	(	(	PUNCT
ap-1866	125	4	n	n	CCONJ
ap-1866	125	5	)	)	PUNCT
ap-1866	125	6	where	where	SCONJ
ap-1866	125	7	the	the	DET
ap-1866	125	8	“	"	PUNCT
ap-1866	125	9	unperturbed	unperturbed	ADJ
ap-1866	125	10	”	"	PUNCT
ap-1866	125	11	,	,	PUNCT
ap-1866	125	12	harmonic	harmonic	ADJ
ap-1866	125	13	-	-	PUNCT
ap-1866	125	14	oscillator	oscillator	NOUN
ap-1866	125	15	-	-	PUNCT
ap-1866	125	16	simulating	simulate	VERB
ap-1866	125	17	main	main	ADJ
ap-1866	125	18	diagonal	diagonal	ADJ
ap-1866	125	19	remains	remain	VERB
ap-1866	125	20	equidistant	equidistant	ADJ
ap-1866	125	21	,	,	PUNCT
ap-1866	125	22	h(n	h(n	PROPN
ap-1866	125	23	)	)	PUNCT
ap-1866	125	24	11	11	NUM
ap-1866	125	25	=	=	SYM
ap-1866	125	26	(	(	PUNCT
ap-1866	125	27	h(n	h(n	PROPN
ap-1866	125	28	)	)	PUNCT
ap-1866	125	29	0	0	NUM
ap-1866	125	30	)	)	PUNCT
ap-1866	125	31	11	11	NUM
ap-1866	125	32	=	=	SYM
ap-1866	125	33	−n	−n	NOUN
ap-1866	125	34	+	+	CCONJ
ap-1866	125	35	1	1	NUM
ap-1866	125	36	,	,	PUNCT
ap-1866	125	37	h(n	h(n	PROPN
ap-1866	125	38	)	)	PUNCT
ap-1866	125	39	22	22	NUM
ap-1866	125	40	=	=	SYM
ap-1866	125	41	(	(	PUNCT
ap-1866	125	42	h(n	h(n	PROPN
ap-1866	125	43	)	)	PUNCT
ap-1866	125	44	0	0	NUM
ap-1866	125	45	)	)	PUNCT
ap-1866	125	46	22	22	NUM
ap-1866	125	47	=	=	SYM
ap-1866	125	48	−n	−n	NOUN
ap-1866	125	49	+	+	CCONJ
ap-1866	125	50	3	3	NUM
ap-1866	125	51	,	,	PUNCT
ap-1866	125	52	.	.	PUNCT
ap-1866	125	53	.	.	PUNCT
ap-1866	125	54	.	.	PUNCT
ap-1866	126	1	,	,	PUNCT
ap-1866	126	2	h(n	h(n	PROPN
ap-1866	126	3	)	)	PUNCT
ap-1866	126	4	nn	nn	X
ap-1866	127	1	=	=	SYM
ap-1866	127	2	(	(	PUNCT
ap-1866	127	3	h(n	h(n	PROPN
ap-1866	127	4	)	)	PUNCT
ap-1866	127	5	0	0	NUM
ap-1866	127	6	)	)	PUNCT
ap-1866	127	7	nn	nn	PROPN
ap-1866	127	8	=	=	SYM
ap-1866	127	9	n−1	n−1	PROPN
ap-1866	127	10	while	while	SCONJ
ap-1866	127	11	the	the	DET
ap-1866	127	12	off	off	ADV
ap-1866	127	13	-	-	PUNCT
ap-1866	127	14	diagonal	diagonal	ADJ
ap-1866	127	15	“	"	PUNCT
ap-1866	127	16	perturbation	perturbation	NOUN
ap-1866	127	17	”	"	PUNCT
ap-1866	127	18	becomes	become	VERB
ap-1866	127	19	variable	variable	ADJ
ap-1866	127	20	and	and	CCONJ
ap-1866	127	21	,	,	PUNCT
ap-1866	127	22	say	say	INTJ
ap-1866	127	23	,	,	PUNCT
ap-1866	127	24	antisymmetric	antisymmetric	ADJ
ap-1866	127	25	,	,	PUNCT
ap-1866	127	26	v	v	NOUN
ap-1866	127	27	(	(	PUNCT
ap-1866	127	28	n	n	CCONJ
ap-1866	127	29	)	)	PUNCT
ap-1866	127	30	12	12	NUM
ap-1866	127	31	=	=	NOUN
ap-1866	127	32	−v	−v	NOUN
ap-1866	127	33	(	(	PUNCT
ap-1866	127	34	n	n	CCONJ
ap-1866	127	35	)	)	PUNCT
ap-1866	127	36	21	21	NUM
ap-1866	127	37	,	,	PUNCT
ap-1866	127	38	v	v	NOUN
ap-1866	127	39	(	(	PUNCT
ap-1866	127	40	n	n	CCONJ
ap-1866	127	41	)	)	PUNCT
ap-1866	127	42	23	23	NUM
ap-1866	128	1	=	=	SYM
ap-1866	128	2	−v	−v	NOUN
ap-1866	128	3	(	(	PUNCT
ap-1866	128	4	n	n	CCONJ
ap-1866	128	5	)	)	PUNCT
ap-1866	128	6	32	32	NUM
ap-1866	128	7	,	,	PUNCT
ap-1866	128	8	.	.	PUNCT
ap-1866	128	9	.	.	PUNCT
ap-1866	128	10	.	.	PUNCT
ap-1866	129	1	,	,	PUNCT
ap-1866	129	2	v	v	NOUN
ap-1866	129	3	(	(	PUNCT
ap-1866	129	4	n	n	CCONJ
ap-1866	129	5	)	)	PUNCT
ap-1866	129	6	n−1n	n−1n	NOUN
ap-1866	129	7	=	=	PROPN
ap-1866	129	8	−v	−v	NOUN
ap-1866	129	9	(	(	PUNCT
ap-1866	129	10	n	n	CCONJ
ap-1866	129	11	)	)	PUNCT
ap-1866	129	12	nn−1	nn−1	ADJ
ap-1866	129	13	.	.	PUNCT
ap-1866	130	1	the	the	DET
ap-1866	130	2	word	word	NOUN
ap-1866	130	3	“	"	PUNCT
ap-1866	130	4	perturbation	perturbation	NOUN
ap-1866	130	5	”	"	PUNCT
ap-1866	130	6	is	be	AUX
ap-1866	130	7	written	write	VERB
ap-1866	130	8	here	here	ADV
ap-1866	130	9	in	in	ADP
ap-1866	130	10	quotation	quotation	NOUN
ap-1866	130	11	marks	mark	NOUN
ap-1866	130	12	because	because	SCONJ
ap-1866	130	13	,	,	PUNCT
ap-1866	130	14	in	in	ADP
ap-1866	130	15	the	the	DET
ap-1866	130	16	light	light	NOUN
ap-1866	130	17	of	of	ADP
ap-1866	130	18	results	result	NOUN
ap-1866	130	19	of	of	ADP
ap-1866	130	20	ref	ref	NOUN
ap-1866	130	21	.	.	PUNCT
ap-1866	131	1	[	[	X
ap-1866	131	2	14	14	NUM
ap-1866	131	3	]	]	PUNCT
ap-1866	131	4	,	,	PUNCT
ap-1866	131	5	the	the	DET
ap-1866	131	6	spectral	spectral	ADJ
ap-1866	131	7	properties	property	NOUN
ap-1866	131	8	of	of	ADP
ap-1866	131	9	the	the	DET
ap-1866	131	10	model	model	NOUN
ap-1866	131	11	become	become	VERB
ap-1866	131	12	most	most	ADV
ap-1866	131	13	interesting	interesting	ADJ
ap-1866	131	14	in	in	ADP
ap-1866	131	15	the	the	DET
ap-1866	131	16	strongly	strongly	ADV
ap-1866	131	17	non	non	ADJ
ap-1866	131	18	-	-	ADJ
ap-1866	131	19	perturbative	perturbative	ADJ
ap-1866	131	20	regime	regime	NOUN
ap-1866	131	21	where	where	SCONJ
ap-1866	131	22	one	one	NUM
ap-1866	131	23	up	up	ADP
ap-1866	131	24	-	-	PUNCT
ap-1866	131	25	down	down	NOUN
ap-1866	131	26	symmetrizes	symmetrize	NOUN
ap-1866	131	27	and	and	CCONJ
ap-1866	131	28	re	re	NOUN
ap-1866	131	29	-	-	NOUN
ap-1866	131	30	parametrizes	parametrize	VERB
ap-1866	131	31	the	the	DET
ap-1866	131	32	perturbation	perturbation	NOUN
ap-1866	131	33	v	v	NOUN
ap-1866	131	34	(	(	PUNCT
ap-1866	131	35	n	n	CCONJ
ap-1866	131	36	)	)	PUNCT
ap-1866	131	37	k	k	NOUN
ap-1866	131	38	,	,	PUNCT
ap-1866	131	39	k+1	k+1	X
ap-1866	131	40	=	=	SYM
ap-1866	131	41	−v	−v	NOUN
ap-1866	131	42	(	(	PUNCT
ap-1866	131	43	n	n	CCONJ
ap-1866	131	44	)	)	PUNCT
ap-1866	131	45	k+1,k	k+1,k	PROPN
ap-1866	131	46	=	=	PUNCT
ap-1866	131	47	√	√	PROPN
ap-1866	131	48	k(n	k(n	PROPN
ap-1866	131	49	−	−	PROPN
ap-1866	131	50	k)(1−	k)(1−	INTJ
ap-1866	131	51	t−	t−	PROPN
ap-1866	131	52	t2	t2	PROPN
ap-1866	131	53	−	−	PROPN
ap-1866	131	54	.	.	PUNCT
ap-1866	131	55	.	.	PUNCT
ap-1866	132	1	.−	.−	PUNCT
ap-1866	133	1	tj−1	tj−1	PROPN
ap-1866	133	2	−gktj	−gktj	NUM
ap-1866	133	3	)	)	PUNCT
ap-1866	133	4	,	,	PUNCT
ap-1866	133	5	n	n	NOUN
ap-1866	133	6	=	=	SYM
ap-1866	133	7	2j	2j	NOUN
ap-1866	133	8	or	or	CCONJ
ap-1866	133	9	n	n	NOUN
ap-1866	133	10	=	=	NUM
ap-1866	133	11	2j	2j	NOUN
ap-1866	134	1	+	+	CCONJ
ap-1866	134	2	1	1	X
ap-1866	134	3	.	.	PUNCT
ap-1866	134	4	(	(	PUNCT
ap-1866	134	5	14	14	NUM
ap-1866	134	6	)	)	PUNCT
ap-1866	134	7	this	this	DET
ap-1866	134	8	parametrization	parametrization	NOUN
ap-1866	134	9	proved	prove	VERB
ap-1866	134	10	fortunate	fortunate	ADJ
ap-1866	134	11	in	in	ADP
ap-1866	134	12	the	the	DET
ap-1866	134	13	sense	sense	NOUN
ap-1866	134	14	that	that	SCONJ
ap-1866	134	15	it	it	PRON
ap-1866	134	16	enabled	enable	VERB
ap-1866	134	17	us	we	PRON
ap-1866	134	18	to	to	PART
ap-1866	134	19	replace	replace	VERB
ap-1866	134	20	the	the	DET
ap-1866	134	21	usual	usual	ADJ
ap-1866	134	22	numerical	numerical	ADJ
ap-1866	134	23	analysis	analysis	NOUN
ap-1866	134	24	by	by	ADP
ap-1866	134	25	a	a	DET
ap-1866	134	26	rigorous	rigorous	ADJ
ap-1866	134	27	computer	computer	NOUN
ap-1866	134	28	-	-	PUNCT
ap-1866	134	29	assisted	assist	VERB
ap-1866	134	30	algebra	algebra	NOUN
ap-1866	134	31	.	.	PUNCT
ap-1866	135	1	in	in	ADP
ap-1866	135	2	this	this	DET
ap-1866	135	3	sense	sense	NOUN
ap-1866	135	4	,	,	PUNCT
ap-1866	135	5	the	the	DET
ap-1866	135	6	model	model	NOUN
ap-1866	135	7	in	in	ADP
ap-1866	135	8	question	question	NOUN
ap-1866	135	9	appeared	appear	VERB
ap-1866	135	10	to	to	PART
ap-1866	135	11	represent	represent	VERB
ap-1866	135	12	a	a	DET
ap-1866	135	13	sort	sort	NOUN
ap-1866	135	14	of	of	ADP
ap-1866	135	15	an	an	DET
ap-1866	135	16	exactly	exactly	ADV
ap-1866	135	17	solvable	solvable	ADJ
ap-1866	135	18	model	model	NOUN
ap-1866	135	19	,	,	PUNCT
ap-1866	135	20	precisely	precisely	ADV
ap-1866	135	21	in	in	ADP
ap-1866	135	22	the	the	DET
ap-1866	135	23	spirit	spirit	NOUN
ap-1866	135	24	of	of	ADP
ap-1866	135	25	our	our	PRON
ap-1866	135	26	present	present	ADJ
ap-1866	135	27	message	message	NOUN
ap-1866	135	28	.	.	PUNCT
ap-1866	136	1	the	the	DET
ap-1866	136	2	new	new	ADJ
ap-1866	136	3	parameter	parameter	NOUN
ap-1866	136	4	t	t	PROPN
ap-1866	136	5	≥	≥	PROPN
ap-1866	136	6	0	0	NUM
ap-1866	136	7	is	be	AUX
ap-1866	136	8	auxiliary	auxiliary	ADJ
ap-1866	136	9	and	and	CCONJ
ap-1866	136	10	redundant	redundant	ADJ
ap-1866	136	11	.	.	PUNCT
ap-1866	137	1	it	it	PRON
ap-1866	137	2	may	may	AUX
ap-1866	137	3	be	be	AUX
ap-1866	137	4	interpreted	interpret	VERB
ap-1866	137	5	,	,	PUNCT
ap-1866	137	6	say	say	INTJ
ap-1866	137	7	,	,	PUNCT
ap-1866	137	8	as	as	ADP
ap-1866	137	9	a	a	DET
ap-1866	137	10	measure	measure	NOUN
ap-1866	137	11	of	of	ADP
ap-1866	137	12	distance	distance	NOUN
ap-1866	137	13	of	of	ADP
ap-1866	137	14	the	the	DET
ap-1866	137	15	system	system	NOUN
ap-1866	137	16	from	from	ADP
ap-1866	137	17	the	the	DET
ap-1866	137	18	boundary	boundary	ADJ
ap-1866	137	19	∂dh	∂dh	PROPN
ap-1866	137	20	of	of	ADP
ap-1866	137	21	the	the	DET
ap-1866	137	22	domain	domain	NOUN
ap-1866	137	23	of	of	ADP
ap-1866	137	24	spectral	spectral	ADJ
ap-1866	137	25	reality	reality	NOUN
ap-1866	137	26	.	.	PUNCT
ap-1866	138	1	at	at	ADP
ap-1866	138	2	very	very	ADV
ap-1866	138	3	small	small	ADJ
ap-1866	138	4	t	t	NOUN
ap-1866	138	5	the	the	DET
ap-1866	138	6	local	local	ADJ
ap-1866	138	7	part	part	NOUN
ap-1866	138	8	of	of	ADP
ap-1866	138	9	boundary	boundary	ADJ
ap-1866	138	10	∂dh	∂dh	PROPN
ap-1866	138	11	has	have	AUX
ap-1866	138	12	been	be	AUX
ap-1866	138	13	shown	show	VERB
ap-1866	138	14	to	to	PART
ap-1866	138	15	have	have	VERB
ap-1866	138	16	the	the	DET
ap-1866	138	17	most	most	ADV
ap-1866	138	18	elementary	elementary	ADJ
ap-1866	138	19	form	form	NOUN
ap-1866	138	20	of	of	ADP
ap-1866	138	21	two	two	NUM
ap-1866	138	22	parallel	parallel	ADJ
ap-1866	138	23	hyperplanes	hyperplane	NOUN
ap-1866	138	24	in	in	ADP
ap-1866	138	25	the	the	DET
ap-1866	138	26	j−dimensional	j−dimensional	ADJ
ap-1866	138	27	space	space	NOUN
ap-1866	138	28	of	of	ADP
ap-1866	138	29	parameters	parameter	NOUN
ap-1866	138	30	gn	gn	PROPN
ap-1866	139	1	[	[	X
ap-1866	139	2	14	14	NUM
ap-1866	139	3	]	]	PUNCT
ap-1866	139	4	.	.	PUNCT
ap-1866	140	1	in	in	ADP
ap-1866	140	2	the	the	DET
ap-1866	140	3	simplest	simple	ADJ
ap-1866	140	4	nontrivial	nontrivial	ADJ
ap-1866	140	5	special	special	ADJ
ap-1866	140	6	case	case	NOUN
ap-1866	140	7	of	of	ADP
ap-1866	140	8	n	n	NOUN
ap-1866	140	9	=	=	SYM
ap-1866	140	10	2	2	NUM
ap-1866	140	11	the	the	DET
ap-1866	140	12	present	present	ADJ
ap-1866	140	13	hamiltonian	hamiltonian	ADJ
ap-1866	140	14	h(n	h(n	PROPN
ap-1866	140	15	)	)	PUNCT
ap-1866	140	16	degenerates	degenerate	NOUN
ap-1866	140	17	precisely	precisely	ADV
ap-1866	140	18	to	to	ADP
ap-1866	140	19	the	the	DET
ap-1866	140	20	above	above	ADV
ap-1866	140	21	-	-	PUNCT
ap-1866	140	22	selected	select	VERB
ap-1866	140	23	toy	toy	NOUN
ap-1866	140	24	-	-	PUNCT
ap-1866	140	25	model	model	NOUN
ap-1866	140	26	of	of	ADP
ap-1866	140	27	section	section	NOUN
ap-1866	140	28	3	3	NUM
ap-1866	140	29	.	.	PUNCT
ap-1866	140	30	vice	vice	NOUN
ap-1866	140	31	versa	versa	ADV
ap-1866	140	32	,	,	PUNCT
ap-1866	140	33	the	the	DET
ap-1866	140	34	basic	basic	ADJ
ap-1866	140	35	components	component	NOUN
ap-1866	140	36	of	of	ADP
ap-1866	140	37	the	the	DET
ap-1866	140	38	n	n	NOUN
ap-1866	140	39	=	=	SYM
ap-1866	140	40	2	2	NUM
ap-1866	140	41	discussion	discussion	NOUN
ap-1866	140	42	(	(	PUNCT
ap-1866	140	43	i.e.	i.e.	X
ap-1866	140	44	,	,	PUNCT
ap-1866	140	45	first	first	ADV
ap-1866	140	46	of	of	ADP
ap-1866	140	47	all	all	PRON
ap-1866	140	48	,	,	PUNCT
ap-1866	140	49	the	the	DET
ap-1866	140	50	feasibility	feasibility	NOUN
ap-1866	140	51	of	of	ADP
ap-1866	140	52	the	the	DET
ap-1866	140	53	construction	construction	NOUN
ap-1866	140	54	of	of	ADP
ap-1866	140	55	the	the	DET
ap-1866	140	56	metric	metric	NOUN
ap-1866	140	57	and	and	CCONJ
ap-1866	140	58	of	of	ADP
ap-1866	140	59	the	the	DET
ap-1866	140	60	second	second	ADJ
ap-1866	140	61	observable	observable	ADJ
ap-1866	140	62	)	)	PUNCT
ap-1866	140	63	might	might	AUX
ap-1866	140	64	be	be	AUX
ap-1866	140	65	immediately	immediately	ADV
ap-1866	140	66	transferred	transfer	VERB
ap-1866	140	67	to	to	ADP
ap-1866	140	68	all	all	DET
ap-1866	140	69	n	n	PROPN
ap-1866	140	70	>	>	X
ap-1866	140	71	2	2	X
ap-1866	140	72	.	.	PUNCT
ap-1866	140	73	several	several	ADJ
ap-1866	140	74	steps	step	NOUN
ap-1866	140	75	in	in	ADP
ap-1866	140	76	this	this	DET
ap-1866	140	77	direction	direction	NOUN
ap-1866	140	78	may	may	AUX
ap-1866	140	79	be	be	AUX
ap-1866	140	80	found	find	VERB
ap-1866	140	81	performed	perform	VERB
ap-1866	140	82	in	in	ADP
ap-1866	140	83	our	our	PRON
ap-1866	140	84	recent	recent	ADJ
ap-1866	140	85	paper	paper	NOUN
ap-1866	140	86	on	on	ADP
ap-1866	140	87	the	the	DET
ap-1866	140	88	solvable	solvable	ADJ
ap-1866	140	89	benchmark	benchmark	NOUN
ap-1866	140	90	simulations	simulation	NOUN
ap-1866	140	91	of	of	ADP
ap-1866	140	92	the	the	DET
ap-1866	140	93	phase	phase	NOUN
ap-1866	140	94	transitions	transition	NOUN
ap-1866	140	95	interpreted	interpret	VERB
ap-1866	140	96	as	as	ADP
ap-1866	140	97	a	a	DET
ap-1866	140	98	spontaneous	spontaneous	ADJ
ap-1866	140	99	pt	pt	NOUN
ap-1866	140	100	-symmetry	-symmetry	NOUN
ap-1866	140	101	breakdown	breakdown	NOUN
ap-1866	140	102	[	[	X
ap-1866	140	103	15	15	NUM
ap-1866	140	104	]	]	SYM
ap-1866	140	105	.	.	PUNCT
ap-1866	141	1	5	5	X
ap-1866	141	2	.	.	X
ap-1866	141	3	the	the	DET
ap-1866	141	4	problem	problem	NOUN
ap-1866	141	5	of	of	ADP
ap-1866	141	6	non	non	ADJ
ap-1866	141	7	-	-	NOUN
ap-1866	141	8	uniqueness	uniqueness	NOUN
ap-1866	141	9	of	of	ADP
ap-1866	141	10	the	the	DET
ap-1866	141	11	ad	ad	X
ap-1866	141	12	hoc	hoc	X
ap-1866	141	13	metric	metric	ADJ
ap-1866	141	14	θ	θ	PROPN
ap-1866	141	15	=	=	PUNCT
ap-1866	141	16	θ(h	θ(h	PROPN
ap-1866	141	17	)	)	PUNCT
ap-1866	141	18	the	the	DET
ap-1866	141	19	roots	root	NOUN
ap-1866	141	20	of	of	ADP
ap-1866	141	21	the	the	DET
ap-1866	141	22	growth	growth	NOUN
ap-1866	141	23	of	of	ADP
ap-1866	141	24	popularity	popularity	NOUN
ap-1866	141	25	of	of	ADP
ap-1866	141	26	the	the	DET
ap-1866	141	27	description	description	NOUN
ap-1866	141	28	of	of	ADP
ap-1866	141	29	stable	stable	ADJ
ap-1866	141	30	quantum	quantum	NOUN
ap-1866	141	31	systems	system	NOUN
ap-1866	141	32	using	use	VERB
ap-1866	141	33	representations	representation	NOUN
ap-1866	141	34	of	of	ADP
ap-1866	141	35	observables	observable	NOUN
ap-1866	141	36	which	which	PRON
ap-1866	141	37	are	be	AUX
ap-1866	141	38	non	non	ADJ
ap-1866	141	39	-	-	ADJ
ap-1866	141	40	hermitian	hermitian	ADJ
ap-1866	141	41	in	in	ADP
ap-1866	141	42	an	an	DET
ap-1866	141	43	auxiliary	auxiliary	ADJ
ap-1866	141	44	hilbert	hilbert	NOUN
ap-1866	141	45	space	space	PROPN
ap-1866	141	46	h(f	h(f	PROPN
ap-1866	141	47	)	)	PUNCT
ap-1866	141	48	may	may	AUX
ap-1866	141	49	be	be	AUX
ap-1866	141	50	traced	trace	VERB
ap-1866	141	51	back	back	ADV
ap-1866	141	52	not	not	PART
ap-1866	141	53	only	only	ADV
ap-1866	141	54	to	to	ADP
ap-1866	141	55	the	the	DET
ap-1866	141	56	entirely	entirely	ADV
ap-1866	141	57	abstract	abstract	ADJ
ap-1866	141	58	mathematical	mathematical	ADJ
ap-1866	141	59	analyses	analysis	NOUN
ap-1866	141	60	of	of	ADP
ap-1866	141	61	spectra	spectra	NOUN
ap-1866	141	62	of	of	ADP
ap-1866	141	63	quasi	quasi	ADJ
ap-1866	141	64	-	-	ADJ
ap-1866	141	65	hermitian	hermitian	ADJ
ap-1866	141	66	operators	operator	NOUN
ap-1866	141	67	[	[	X
ap-1866	141	68	16	16	NUM
ap-1866	141	69	]	]	PUNCT
ap-1866	141	70	and	and	CCONJ
ap-1866	141	71	of	of	ADP
ap-1866	141	72	the	the	DET
ap-1866	141	73	operators	operator	NOUN
ap-1866	141	74	which	which	PRON
ap-1866	141	75	are	be	AUX
ap-1866	141	76	self	self	NOUN
ap-1866	141	77	-	-	PUNCT
ap-1866	141	78	adjoint	adjoint	NOUN
ap-1866	141	79	in	in	ADP
ap-1866	141	80	the	the	DET
ap-1866	141	81	so	so	ADV
ap-1866	141	82	-	-	PUNCT
ap-1866	141	83	called	call	VERB
ap-1866	141	84	krein	krein	NOUN
ap-1866	141	85	spaces	space	NOUN
ap-1866	141	86	with	with	ADP
ap-1866	141	87	indefinite	indefinite	ADJ
ap-1866	141	88	metric	metric	ADJ
ap-1866	141	89	[	[	X
ap-1866	141	90	17	17	NUM
ap-1866	141	91	]	]	PUNCT
ap-1866	141	92	but	but	CCONJ
ap-1866	141	93	also	also	ADV
ap-1866	141	94	to	to	ADP
ap-1866	141	95	the	the	DET
ap-1866	141	96	emergence	emergence	NOUN
ap-1866	141	97	of	of	ADP
ap-1866	141	98	manageable	manageable	ADJ
ap-1866	141	99	non	non	ADJ
ap-1866	141	100	-	-	ADJ
ap-1866	141	101	hermitian	hermitian	ADJ
ap-1866	141	102	models	model	NOUN
ap-1866	141	103	in	in	ADP
ap-1866	141	104	quantum	quantum	ADJ
ap-1866	141	105	field	field	NOUN
ap-1866	141	106	theory	theory	NOUN
ap-1866	141	107	[	[	X
ap-1866	141	108	18	18	NUM
ap-1866	141	109	]	]	PUNCT
ap-1866	141	110	or	or	CCONJ
ap-1866	141	111	even	even	ADV
ap-1866	141	112	in	in	ADP
ap-1866	141	113	classical	classical	ADJ
ap-1866	141	114	optics	optic	NOUN
ap-1866	141	115	[	[	X
ap-1866	141	116	19	19	NUM
ap-1866	141	117	]	]	PUNCT
ap-1866	141	118	,	,	PUNCT
ap-1866	141	119	etc	etc	X
ap-1866	141	120	.	.	X
ap-1866	142	1	after	after	ADP
ap-1866	142	2	a	a	DET
ap-1866	142	3	restriction	restriction	NOUN
ap-1866	142	4	of	of	ADP
ap-1866	142	5	attention	attention	NOUN
ap-1866	142	6	to	to	ADP
ap-1866	142	7	quantum	quantum	ADJ
ap-1866	142	8	theory	theory	NOUN
ap-1866	142	9	,	,	PUNCT
ap-1866	142	10	the	the	DET
ap-1866	142	11	key	key	ADJ
ap-1866	142	12	problem	problem	NOUN
ap-1866	142	13	emerges	emerge	VERB
ap-1866	142	14	in	in	ADP
ap-1866	142	15	connection	connection	NOUN
ap-1866	142	16	with	with	ADP
ap-1866	142	17	the	the	DET
ap-1866	142	18	ambiguity	ambiguity	NOUN
ap-1866	142	19	of	of	ADP
ap-1866	142	20	the	the	DET
ap-1866	142	21	assignment	assignment	NOUN
ap-1866	142	22	h	h	NOUN
ap-1866	142	23	→	→	SYM
ap-1866	142	24	θ(h	θ(h	PROPN
ap-1866	142	25	)	)	PUNCT
ap-1866	142	26	of	of	ADP
ap-1866	142	27	the	the	DET
ap-1866	142	28	physical	physical	ADJ
ap-1866	142	29	hilbert	hilbert	NOUN
ap-1866	142	30	space	space	NOUN
ap-1866	142	31	h(s	h(s	PROPN
ap-1866	142	32	)	)	PUNCT
ap-1866	142	33	to	to	ADP
ap-1866	142	34	a	a	DET
ap-1866	142	35	given	give	VERB
ap-1866	142	36	generator	generator	NOUN
ap-1866	142	37	h	h	NOUN
ap-1866	142	38	of	of	ADP
ap-1866	142	39	time	time	NOUN
ap-1866	142	40	evolution	evolution	NOUN
ap-1866	142	41	.	.	PUNCT
ap-1866	143	1	for	for	ADP
ap-1866	143	2	many	many	ADJ
ap-1866	143	3	phenomenologically	phenomenologically	ADV
ap-1866	143	4	relevant	relevant	ADJ
ap-1866	143	5	hamiltonians	hamiltonian	NOUN
ap-1866	143	6	h	h	NOUN
ap-1866	143	7	it	it	PRON
ap-1866	143	8	appeared	appear	VERB
ap-1866	143	9	almost	almost	ADV
ap-1866	143	10	prohibitively	prohibitively	ADV
ap-1866	143	11	difficult	difficult	ADJ
ap-1866	143	12	to	to	PART
ap-1866	143	13	define	define	VERB
ap-1866	143	14	and	and	CCONJ
ap-1866	143	15	construct	construct	VERB
ap-1866	143	16	at	at	ADP
ap-1866	143	17	least	least	ADJ
ap-1866	143	18	some	some	PRON
ap-1866	143	19	of	of	ADP
ap-1866	143	20	the	the	DET
ap-1866	143	21	eligible	eligible	ADJ
ap-1866	143	22	metrics	metric	NOUN
ap-1866	143	23	θ	θ	NOUN
ap-1866	143	24	=	=	PUNCT
ap-1866	143	25	θ(h	θ(h	PROPN
ap-1866	143	26	)	)	PUNCT
ap-1866	143	27	in	in	ADP
ap-1866	143	28	an	an	DET
ap-1866	143	29	at	at	ADP
ap-1866	143	30	least	least	ADJ
ap-1866	143	31	approximate	approximate	ADJ
ap-1866	143	32	form	form	NOUN
ap-1866	143	33	(	(	PUNCT
ap-1866	143	34	cf	cf	NOUN
ap-1866	143	35	.	.	NOUN
ap-1866	143	36	,	,	PUNCT
ap-1866	143	37	e.g.	e.g.	ADV
ap-1866	143	38	,	,	PUNCT
ap-1866	143	39	ref	ref	NOUN
ap-1866	143	40	.	.	PUNCT
ap-1866	144	1	[	[	X
ap-1866	144	2	5	5	NUM
ap-1866	144	3	]	]	PUNCT
ap-1866	144	4	in	in	ADP
ap-1866	144	5	this	this	DET
ap-1866	144	6	respect	respect	NOUN
ap-1866	144	7	)	)	PUNCT
ap-1866	144	8	.	.	PUNCT
ap-1866	145	1	clearly	clearly	ADV
ap-1866	145	2	,	,	PUNCT
ap-1866	145	3	in	in	ADP
ap-1866	145	4	methodological	methodological	ADJ
ap-1866	145	5	analyses	analysis	NOUN
ap-1866	145	6	the	the	DET
ap-1866	145	7	opportunity	opportunity	NOUN
ap-1866	145	8	becomes	become	VERB
ap-1866	145	9	wide	wide	ADV
ap-1866	145	10	open	open	ADJ
ap-1866	145	11	to	to	ADP
ap-1866	145	12	finite	finite	ADJ
ap-1866	145	13	-	-	ADJ
ap-1866	145	14	dimensional	dimensional	ADJ
ap-1866	145	15	and	and	CCONJ
ap-1866	145	16	solvable	solvable	ADJ
ap-1866	145	17	toy	toy	NOUN
ap-1866	145	18	models	model	NOUN
ap-1866	145	19	.	.	PUNCT
ap-1866	146	1	5.1	5.1	NUM
ap-1866	146	2	.	.	PUNCT
ap-1866	147	1	solvable	solvable	ADJ
ap-1866	147	2	quantum	quantum	NOUN
ap-1866	147	3	models	model	NOUN
ap-1866	147	4	with	with	ADP
ap-1866	147	5	more	more	ADJ
ap-1866	147	6	than	than	ADP
ap-1866	147	7	one	one	NUM
ap-1866	147	8	observable	observable	ADJ
ap-1866	147	9	let	let	VERB
ap-1866	147	10	us	we	PRON
ap-1866	147	11	restrict	restrict	VERB
ap-1866	147	12	the	the	DET
ap-1866	147	13	scope	scope	NOUN
ap-1866	147	14	of	of	ADP
ap-1866	147	15	this	this	DET
ap-1866	147	16	paper	paper	NOUN
ap-1866	147	17	to	to	ADP
ap-1866	147	18	the	the	DET
ap-1866	147	19	quantum	quantum	NOUN
ap-1866	147	20	systems	system	NOUN
ap-1866	147	21	which	which	PRON
ap-1866	147	22	are	be	AUX
ap-1866	147	23	described	describe	VERB
ap-1866	147	24	by	by	ADP
ap-1866	147	25	a	a	DET
ap-1866	147	26	hamiltonian	hamiltonian	ADJ
ap-1866	147	27	h	h	NOUN
ap-1866	147	28	=	=	PUNCT
ap-1866	147	29	h(λ	h(λ	PROPN
ap-1866	147	30	)	)	PUNCT
ap-1866	147	31	accompanied	accompany	VERB
ap-1866	147	32	by	by	ADP
ap-1866	147	33	a	a	DET
ap-1866	147	34	single	single	ADJ
ap-1866	147	35	other	other	ADJ
ap-1866	147	36	operator	operator	NOUN
ap-1866	147	37	q	q	NOUN
ap-1866	147	38	=	=	SYM
ap-1866	147	39	q(%	q(%	NOUN
ap-1866	147	40	)	)	PUNCT
ap-1866	147	41	representing	represent	VERB
ap-1866	147	42	a	a	DET
ap-1866	147	43	complementary	complementary	ADJ
ap-1866	147	44	measurable	measurable	ADJ
ap-1866	147	45	quantity	quantity	NOUN
ap-1866	147	46	like	like	ADP
ap-1866	147	47	,	,	PUNCT
ap-1866	147	48	e.g.	e.g.	ADV
ap-1866	147	49	,	,	PUNCT
ap-1866	147	50	angular	angular	ADJ
ap-1866	147	51	momentum	momentum	NOUN
ap-1866	147	52	or	or	CCONJ
ap-1866	147	53	coordinate	coordinate	NOUN
ap-1866	147	54	.	.	PUNCT
ap-1866	148	1	in	in	ADP
ap-1866	148	2	general	general	ADJ
ap-1866	148	3	we	we	PRON
ap-1866	148	4	will	will	AUX
ap-1866	148	5	assume	assume	VERB
ap-1866	148	6	that	that	SCONJ
ap-1866	148	7	symbols	symbol	NOUN
ap-1866	148	8	λ	λ	PROPN
ap-1866	148	9	and	and	CCONJ
ap-1866	148	10	%	%	NOUN
ap-1866	148	11	represent	represent	VERB
ap-1866	148	12	multiplets	multiplet	NOUN
ap-1866	148	13	of	of	ADP
ap-1866	148	14	coupling	couple	VERB
ap-1866	148	15	strengths	strength	NOUN
ap-1866	148	16	or	or	CCONJ
ap-1866	148	17	of	of	ADP
ap-1866	148	18	any	any	DET
ap-1866	148	19	other	other	ADJ
ap-1866	148	20	parameters	parameter	NOUN
ap-1866	148	21	with	with	ADP
ap-1866	148	22	an	an	DET
ap-1866	148	23	immediate	immediate	ADJ
ap-1866	148	24	phenomenological	phenomenological	ADJ
ap-1866	148	25	or	or	CCONJ
ap-1866	148	26	purely	purely	ADV
ap-1866	148	27	mathematical	mathematical	ADJ
ap-1866	148	28	significance	significance	NOUN
ap-1866	148	29	.	.	PUNCT
ap-1866	149	1	we	we	PRON
ap-1866	149	2	shall	shall	AUX
ap-1866	149	3	also	also	ADV
ap-1866	149	4	solely	solely	ADV
ap-1866	149	5	work	work	VERB
ap-1866	149	6	here	here	ADV
ap-1866	149	7	with	with	ADP
ap-1866	149	8	the	the	DET
ap-1866	149	9	finite	finite	ADJ
ap-1866	149	10	-	-	ADJ
ap-1866	149	11	dimensional	dimensional	ADJ
ap-1866	149	12	matrix	matrix	NOUN
ap-1866	149	13	versions	version	NOUN
ap-1866	149	14	of	of	ADP
ap-1866	149	15	our	our	PRON
ap-1866	149	16	operators	operator	NOUN
ap-1866	149	17	of	of	ADP
ap-1866	149	18	observables	observable	NOUN
ap-1866	149	19	.	.	PUNCT
ap-1866	150	1	in	in	ADP
ap-1866	150	2	such	such	DET
ap-1866	150	3	a	a	DET
ap-1866	150	4	framework	framework	NOUN
ap-1866	150	5	it	it	PRON
ap-1866	150	6	becomes	become	VERB
ap-1866	150	7	much	much	ADV
ap-1866	150	8	less	less	ADV
ap-1866	150	9	difficult	difficult	ADJ
ap-1866	150	10	to	to	PART
ap-1866	150	11	analyze	analyze	VERB
ap-1866	150	12	one	one	NUM
ap-1866	150	13	of	of	ADP
ap-1866	150	14	the	the	DET
ap-1866	150	15	most	most	ADV
ap-1866	150	16	characteristic	characteristic	ADJ
ap-1866	150	17	generic	generic	ADJ
ap-1866	150	18	features	feature	NOUN
ap-1866	150	19	of	of	ADP
ap-1866	150	20	crypto	crypto	ADJ
ap-1866	150	21	-	-	ADJ
ap-1866	150	22	hermitian	hermitian	ADJ
ap-1866	150	23	models	model	NOUN
ap-1866	150	24	which	which	PRON
ap-1866	150	25	lies	lie	VERB
ap-1866	150	26	in	in	ADP
ap-1866	150	27	their	their	PRON
ap-1866	150	28	“	"	PUNCT
ap-1866	150	29	fragility	fragility	NOUN
ap-1866	150	30	”	"	PUNCT
ap-1866	150	31	,	,	PUNCT
ap-1866	150	32	i.e.	i.e.	X
ap-1866	150	33	,	,	PUNCT
ap-1866	150	34	in	in	ADP
ap-1866	150	35	their	their	PRON
ap-1866	150	36	stability	stability	NOUN
ap-1866	150	37	up	up	ADP
ap-1866	150	38	to	to	ADP
ap-1866	150	39	the	the	DET
ap-1866	150	40	point	point	NOUN
ap-1866	150	41	of	of	ADP
ap-1866	150	42	a	a	DET
ap-1866	150	43	sudden	sudden	ADJ
ap-1866	150	44	collapse	collapse	NOUN
ap-1866	150	45	.	.	PUNCT
ap-1866	151	1	mathematically	mathematically	ADV
ap-1866	151	2	,	,	PUNCT
ap-1866	151	3	we	we	PRON
ap-1866	151	4	have	have	AUX
ap-1866	151	5	seen	see	VERB
ap-1866	151	6	that	that	SCONJ
ap-1866	151	7	the	the	DET
ap-1866	151	8	change	change	NOUN
ap-1866	151	9	of	of	ADP
ap-1866	151	10	the	the	DET
ap-1866	151	11	stability	stability	NOUN
ap-1866	151	12	/	/	SYM
ap-1866	151	13	instability	instability	NOUN
ap-1866	151	14	status	status	NOUN
ap-1866	151	15	of	of	ADP
ap-1866	151	16	the	the	DET
ap-1866	151	17	model	model	NOUN
ap-1866	151	18	is	be	AUX
ap-1866	151	19	attributed	attribute	VERB
ap-1866	151	20	to	to	ADP
ap-1866	151	21	the	the	DET
ap-1866	151	22	presence	presence	NOUN
ap-1866	151	23	of	of	ADP
ap-1866	151	24	the	the	DET
ap-1866	151	25	exceptional	exceptional	ADJ
ap-1866	151	26	-	-	PUNCT
ap-1866	151	27	point	point	NOUN
ap-1866	151	28	horizons	horizon	NOUN
ap-1866	151	29	in	in	ADP
ap-1866	151	30	the	the	DET
ap-1866	151	31	parametric	parametric	ADJ
ap-1866	151	32	space	space	NOUN
ap-1866	151	33	.	.	PUNCT
ap-1866	152	1	in	in	ADP
ap-1866	152	2	the	the	DET
ap-1866	152	3	context	context	NOUN
ap-1866	152	4	of	of	ADP
ap-1866	152	5	phenomenology	phenomenology	NOUN
ap-1866	152	6	,	,	PUNCT
ap-1866	152	7	people	people	NOUN
ap-1866	152	8	often	often	ADV
ap-1866	152	9	speak	speak	VERB
ap-1866	152	10	about	about	ADP
ap-1866	152	11	the	the	DET
ap-1866	152	12	phenomenon	phenomenon	NOUN
ap-1866	152	13	of	of	ADP
ap-1866	152	14	quantum	quantum	NOUN
ap-1866	152	15	phase	phase	NOUN
ap-1866	152	16	transition	transition	NOUN
ap-1866	152	17	[	[	X
ap-1866	152	18	19	19	NUM
ap-1866	152	19	]	]	PUNCT
ap-1866	152	20	.	.	PUNCT
ap-1866	153	1	let	let	VERB
ap-1866	153	2	us	we	PRON
ap-1866	153	3	now	now	ADV
ap-1866	153	4	return	return	VERB
ap-1866	153	5	to	to	ADP
ap-1866	153	6	fig	fig	NOUN
ap-1866	153	7	.	.	PUNCT
ap-1866	154	1	1	1	NUM
ap-1866	154	2	,	,	PUNCT
ap-1866	154	3	where	where	SCONJ
ap-1866	154	4	the	the	DET
ap-1866	154	5	set	set	NOUN
ap-1866	154	6	of	of	ADP
ap-1866	154	7	the	the	DET
ap-1866	154	8	phase	phase	NOUN
ap-1866	154	9	-	-	PUNCT
ap-1866	154	10	transition	transition	NOUN
ap-1866	154	11	points	point	NOUN
ap-1866	154	12	pertaining	pertain	VERB
ap-1866	154	13	to	to	ADP
ap-1866	154	14	the	the	DET
ap-1866	154	15	hamiltonian	hamiltonian	ADJ
ap-1866	154	16	h	h	NOUN
ap-1866	154	17	is	be	AUX
ap-1866	154	18	depicted	depict	VERB
ap-1866	154	19	as	as	ADP
ap-1866	154	20	a	a	DET
ap-1866	154	21	schematic	schematic	ADJ
ap-1866	154	22	circular	circular	ADJ
ap-1866	154	23	boundary	boundary	NOUN
ap-1866	154	24	∂dh	∂dh	PROPN
ap-1866	154	25	of	of	ADP
ap-1866	154	26	the	the	DET
ap-1866	154	27	left	left	ADJ
ap-1866	154	28	lower	low	ADJ
ap-1866	154	29	domain	domain	NOUN
ap-1866	154	30	inside	inside	ADP
ap-1866	154	31	which	which	PRON
ap-1866	154	32	the	the	DET
ap-1866	154	33	spectrum	spectrum	NOUN
ap-1866	154	34	of	of	ADP
ap-1866	154	35	h	h	NOUN
ap-1866	154	36	is	be	AUX
ap-1866	154	37	assumed	assume	VERB
ap-1866	154	38	,	,	PUNCT
ap-1866	154	39	for	for	ADP
ap-1866	154	40	the	the	DET
ap-1866	154	41	sake	sake	NOUN
ap-1866	154	42	of	of	ADP
ap-1866	154	43	simplicity	simplicity	NOUN
ap-1866	154	44	,	,	PUNCT
ap-1866	154	45	non	non	ADJ
ap-1866	154	46	-	-	ADJ
ap-1866	154	47	degenerate	degenerate	ADJ
ap-1866	154	48	and	and	CCONJ
ap-1866	154	49	completely	completely	ADV
ap-1866	154	50	real	real	ADJ
ap-1866	154	51	.	.	PUNCT
ap-1866	155	1	similarly	similarly	ADV
ap-1866	155	2	,	,	PUNCT
ap-1866	155	3	the	the	DET
ap-1866	155	4	right	right	ADV
ap-1866	155	5	lower	low	ADJ
ap-1866	155	6	disc	disc	NOUN
ap-1866	155	7	or	or	CCONJ
ap-1866	155	8	domain	domain	NOUN
ap-1866	155	9	dq	dq	NOUN
ap-1866	155	10	is	be	AUX
ap-1866	155	11	assigned	assign	VERB
ap-1866	155	12	to	to	ADP
ap-1866	155	13	the	the	DET
ap-1866	155	14	second	second	ADJ
ap-1866	155	15	observable	observable	ADJ
ap-1866	155	16	q.	q.	NOUN
ap-1866	155	17	finally	finally	ADV
ap-1866	155	18	,	,	PUNCT
ap-1866	155	19	the	the	DET
ap-1866	155	20	upper	upper	ADJ
ap-1866	155	21	,	,	PUNCT
ap-1866	155	22	third	third	ADJ
ap-1866	155	23	circular	circular	ADJ
ap-1866	155	24	domain	domain	NOUN
ap-1866	155	25	dθ	dθ	PROPN
ap-1866	155	26	characterizes	characterize	VERB
ap-1866	155	27	the	the	DET
ap-1866	155	28	parametric	parametric	ADJ
ap-1866	155	29	subdomain	subdomain	NOUN
ap-1866	155	30	of	of	ADP
ap-1866	155	31	the	the	DET
ap-1866	155	32	existence	existence	NOUN
ap-1866	155	33	of	of	ADP
ap-1866	155	34	a	a	DET
ap-1866	155	35	suitable	suitable	ADJ
ap-1866	155	36	general	general	NOUN
ap-1866	155	37	or	or	CCONJ
ap-1866	155	38	,	,	PUNCT
ap-1866	155	39	if	if	SCONJ
ap-1866	155	40	asked	ask	VERB
ap-1866	155	41	for	for	ADP
ap-1866	155	42	,	,	PUNCT
ap-1866	155	43	special	special	ADJ
ap-1866	155	44	class	class	NOUN
ap-1866	155	45	of	of	ADP
ap-1866	155	46	the	the	DET
ap-1866	155	47	eligible	eligible	ADJ
ap-1866	155	48	candidates	candidate	NOUN
ap-1866	155	49	θ	θ	PROPN
ap-1866	155	50	for	for	ADP
ap-1866	155	51	a	a	DET
ap-1866	155	52	physical	physical	ADJ
ap-1866	155	53	metric	metric	ADJ
ap-1866	155	54	operator	operator	NOUN
ap-1866	155	55	.	.	PUNCT
ap-1866	156	1	the	the	DET
ap-1866	156	2	key	key	ADJ
ap-1866	156	3	message	message	NOUN
ap-1866	156	4	delivered	deliver	VERB
ap-1866	156	5	by	by	ADP
ap-1866	156	6	fig	fig	NOUN
ap-1866	156	7	.	.	PUNCT
ap-1866	156	8	1	1	NUM
ap-1866	156	9	is	be	AUX
ap-1866	156	10	that	that	SCONJ
ap-1866	156	11	at	at	ADP
ap-1866	156	12	any	any	DET
ap-1866	156	13	n	n	NOUN
ap-1866	156	14	,	,	PUNCT
ap-1866	156	15	476	476	NUM
ap-1866	156	16	vol	vol	NOUN
ap-1866	156	17	.	.	PUNCT
ap-1866	157	1	53	53	NUM
ap-1866	157	2	no	no	NOUN
ap-1866	157	3	.	.	PUNCT
ap-1866	158	1	5/2013	5/2013	NUM
ap-1866	158	2	new	new	ADJ
ap-1866	158	3	concept	concept	NOUN
ap-1866	158	4	of	of	ADP
ap-1866	158	5	solvability	solvability	NOUN
ap-1866	158	6	in	in	ADP
ap-1866	158	7	quantum	quantum	ADJ
ap-1866	158	8	mechanics	mechanic	NOUN
ap-1866	158	9	–	–	PUNCT
ap-1866	158	10	1	1	NUM
ap-1866	158	11	–	–	SYM
ap-1866	158	12	0.5	0.5	NUM
ap-1866	158	13	0.5	0.5	NUM
ap-1866	158	14	1	1	NUM
ap-1866	158	15	–	–	PUNCT
ap-1866	158	16	0.4	0.4	NUM
ap-1866	158	17	–	–	SYM
ap-1866	158	18	0.2	0.2	NUM
ap-1866	158	19	0.2	0.2	NUM
ap-1866	158	20	0.4	0.4	NUM
ap-1866	158	21	g	g	NOUN
ap-1866	158	22	z	z	NOUN
ap-1866	158	23	figure	figure	NOUN
ap-1866	158	24	2	2	NUM
ap-1866	158	25	.	.	PUNCT
ap-1866	159	1	the	the	DET
ap-1866	159	2	boundary	boundary	NOUN
ap-1866	159	3	of	of	ADP
ap-1866	159	4	the	the	DET
ap-1866	159	5	domain	domain	NOUN
ap-1866	159	6	of	of	ADP
ap-1866	159	7	reality	reality	NOUN
ap-1866	159	8	of	of	ADP
ap-1866	159	9	the	the	DET
ap-1866	159	10	spectrum	spectrum	NOUN
ap-1866	159	11	of	of	ADP
ap-1866	159	12	hamiltonian	hamiltonian	NOUN
ap-1866	159	13	(	(	PUNCT
ap-1866	159	14	15	15	NUM
ap-1866	159	15	)	)	PUNCT
ap-1866	159	16	in	in	ADP
ap-1866	159	17	z	z	NOUN
ap-1866	159	18	−	−	NOUN
ap-1866	159	19	g	g	PROPN
ap-1866	159	20	plane	plane	NOUN
ap-1866	159	21	(	(	PUNCT
ap-1866	159	22	i.	i.	PROPN
ap-1866	159	23	e.	e.	PROPN
ap-1866	159	24	,	,	PUNCT
ap-1866	159	25	the	the	DET
ap-1866	159	26	zero	zero	NUM
ap-1866	159	27	line	line	NOUN
ap-1866	159	28	of	of	ADP
ap-1866	159	29	polynomial	polynomial	ADJ
ap-1866	159	30	g(z	g(z	PROPN
ap-1866	159	31	,	,	PUNCT
ap-1866	159	32	g	g	NOUN
ap-1866	159	33	)	)	PUNCT
ap-1866	159	34	)	)	PUNCT
ap-1866	159	35	.	.	PUNCT
ap-1866	160	1	the	the	DET
ap-1866	160	2	correct	correct	ADJ
ap-1866	160	3	physics	physics	NOUN
ap-1866	160	4	may	may	AUX
ap-1866	160	5	still	still	ADV
ap-1866	160	6	only	only	ADV
ap-1866	160	7	be	be	AUX
ap-1866	160	8	formulated	formulate	VERB
ap-1866	160	9	inside	inside	ADP
ap-1866	160	10	the	the	DET
ap-1866	160	11	subdomain	subdomain	NOUN
ap-1866	160	12	d	d	NOUN
ap-1866	160	13	=	=	SYM
ap-1866	160	14	dh	dh	PROPN
ap-1866	160	15	∩	∩	NOUN
ap-1866	160	16	dq	dq	PROPN
ap-1866	160	17	∩	∩	PROPN
ap-1866	160	18	dθ	dθ	PROPN
ap-1866	160	19	.	.	PUNCT
ap-1866	161	1	a	a	DET
ap-1866	161	2	generalization	generalization	NOUN
ap-1866	161	3	of	of	ADP
ap-1866	161	4	this	this	DET
ap-1866	161	5	scheme	scheme	NOUN
ap-1866	161	6	to	to	ADP
ap-1866	161	7	systems	system	NOUN
ap-1866	161	8	with	with	ADP
ap-1866	161	9	more	more	ADJ
ap-1866	161	10	observables	observable	NOUN
ap-1866	161	11	,	,	PUNCT
ap-1866	161	12	q→	q→	NUM
ap-1866	161	13	q1	q1	PROPN
ap-1866	161	14	,	,	PUNCT
ap-1866	161	15	q2	q2	NOUN
ap-1866	161	16	,	,	PUNCT
ap-1866	161	17	.	.	PUNCT
ap-1866	161	18	.	.	PUNCT
ap-1866	162	1	.	.	PUNCT
ap-1866	163	1	would	would	AUX
ap-1866	163	2	be	be	AUX
ap-1866	163	3	straightforward	straightforward	ADJ
ap-1866	163	4	.	.	PUNCT
ap-1866	164	1	5.2	5.2	NUM
ap-1866	164	2	.	.	PUNCT
ap-1866	164	3	quantum	quantum	ADJ
ap-1866	164	4	observability	observability	NOUN
ap-1866	164	5	paradoxes	paradoxe	VERB
ap-1866	164	6	one	one	NUM
ap-1866	164	7	of	of	ADP
ap-1866	164	8	the	the	DET
ap-1866	164	9	most	most	ADV
ap-1866	164	10	exciting	exciting	ADJ
ap-1866	164	11	features	feature	NOUN
ap-1866	164	12	of	of	ADP
ap-1866	164	13	all	all	PRON
ap-1866	164	14	of	of	ADP
ap-1866	164	15	the	the	DET
ap-1866	164	16	abovementioned	abovementione	VERB
ap-1866	164	17	models	model	NOUN
ap-1866	164	18	may	may	AUX
ap-1866	164	19	be	be	AUX
ap-1866	164	20	seen	see	VERB
ap-1866	164	21	in	in	ADP
ap-1866	164	22	their	their	PRON
ap-1866	164	23	ability	ability	NOUN
ap-1866	164	24	to	to	PART
ap-1866	164	25	connect	connect	VERB
ap-1866	164	26	the	the	DET
ap-1866	164	27	stable	stable	ADJ
ap-1866	164	28	and	and	CCONJ
ap-1866	164	29	unstable	unstable	ADJ
ap-1866	164	30	dynamical	dynamical	ADJ
ap-1866	164	31	regimes	regime	NOUN
ap-1866	164	32	,	,	PUNCT
ap-1866	164	33	within	within	ADP
ap-1866	164	34	the	the	DET
ap-1866	164	35	same	same	ADJ
ap-1866	164	36	formal	formal	ADJ
ap-1866	164	37	framework	framework	NOUN
ap-1866	164	38	,	,	PUNCT
ap-1866	164	39	as	as	ADP
ap-1866	164	40	a	a	DET
ap-1866	164	41	move	move	NOUN
ap-1866	164	42	out	out	ADP
ap-1866	164	43	of	of	ADP
ap-1866	164	44	the	the	DET
ap-1866	164	45	domain	domain	NOUN
ap-1866	165	1	d	d	NOUN
ap-1866	165	2	though	though	SCONJ
ap-1866	165	3	one	one	NUM
ap-1866	165	4	of	of	ADP
ap-1866	165	5	its	its	PRON
ap-1866	165	6	boundaries	boundary	NOUN
ap-1866	165	7	.	.	PUNCT
ap-1866	166	1	in	in	ADP
ap-1866	166	2	this	this	DET
ap-1866	166	3	sense	sense	NOUN
ap-1866	166	4	,	,	PUNCT
ap-1866	166	5	the	the	DET
ap-1866	166	6	exact	exact	ADJ
ap-1866	166	7	solvability	solvability	NOUN
ap-1866	166	8	of	of	ADP
ap-1866	166	9	the	the	DET
ap-1866	166	10	n	n	NOUN
ap-1866	166	11	<	<	NOUN
ap-1866	166	12	∞	∞	NOUN
ap-1866	166	13	toy	toy	NOUN
ap-1866	166	14	models	model	NOUN
ap-1866	166	15	proves	prove	VERB
ap-1866	166	16	crucial	crucial	ADJ
ap-1866	166	17	since	since	SCONJ
ap-1866	166	18	the	the	DET
ap-1866	166	19	knowledge	knowledge	NOUN
ap-1866	166	20	of	of	ADP
ap-1866	166	21	the	the	DET
ap-1866	166	22	boundary	boundary	ADJ
ap-1866	166	23	∂dθ	∂dθ	PROPN
ap-1866	166	24	remains	remain	VERB
ap-1866	166	25	practically	practically	ADV
ap-1866	166	26	inaccessible	inaccessible	ADJ
ap-1866	166	27	in	in	ADP
ap-1866	166	28	the	the	DET
ap-1866	166	29	majority	majority	NOUN
ap-1866	166	30	of	of	ADP
ap-1866	166	31	their	their	PRON
ap-1866	166	32	n	n	PRON
ap-1866	166	33	=	=	NOUN
ap-1866	166	34	∞	∞	NOUN
ap-1866	166	35	differential	differential	ADJ
ap-1866	166	36	-	-	PUNCT
ap-1866	166	37	operator	operator	NOUN
ap-1866	166	38	alternatives	alternative	NOUN
ap-1866	166	39	[	[	X
ap-1866	166	40	5	5	NUM
ap-1866	166	41	]	]	PUNCT
ap-1866	166	42	.	.	PUNCT
ap-1866	167	1	in	in	ADP
ap-1866	167	2	the	the	DET
ap-1866	167	3	current	current	ADJ
ap-1866	167	4	literature	literature	NOUN
ap-1866	167	5	on	on	ADP
ap-1866	167	6	the	the	DET
ap-1866	167	7	non	non	ADJ
ap-1866	167	8	-	-	ADJ
ap-1866	167	9	hermitian	hermitian	ADJ
ap-1866	167	10	representations	representation	NOUN
ap-1866	167	11	of	of	ADP
ap-1866	167	12	observables	observable	NOUN
ap-1866	167	13	,	,	PUNCT
ap-1866	167	14	people	people	NOUN
ap-1866	167	15	most	most	ADV
ap-1866	167	16	often	often	ADV
ap-1866	167	17	discuss	discuss	VERB
ap-1866	167	18	just	just	ADV
ap-1866	167	19	the	the	DET
ap-1866	167	20	systems	system	NOUN
ap-1866	167	21	with	with	ADP
ap-1866	167	22	a	a	DET
ap-1866	167	23	single	single	ADJ
ap-1866	167	24	relevant	relevant	ADJ
ap-1866	167	25	observable	observable	ADJ
ap-1866	167	26	h(λ	h(λ	PROPN
ap-1866	167	27	)	)	PUNCT
ap-1866	167	28	treated	treat	VERB
ap-1866	167	29	,	,	PUNCT
ap-1866	167	30	most	most	ADV
ap-1866	167	31	often	often	ADV
ap-1866	167	32	,	,	PUNCT
ap-1866	167	33	as	as	ADP
ap-1866	167	34	the	the	DET
ap-1866	167	35	hamiltonian	hamiltonian	NOUN
ap-1866	167	36	.	.	PUNCT
ap-1866	168	1	in	in	ADP
ap-1866	168	2	such	such	DET
ap-1866	168	3	a	a	DET
ap-1866	168	4	next	next	ADJ
ap-1866	168	5	-	-	PUNCT
ap-1866	168	6	to	to	ADP
ap-1866	168	7	-	-	PUNCT
ap-1866	168	8	trivial	trivial	ADJ
ap-1866	168	9	scenario	scenario	NOUN
ap-1866	168	10	it	it	PRON
ap-1866	168	11	is	be	AUX
ap-1866	168	12	sufficient	sufficient	ADJ
ap-1866	168	13	to	to	PART
ap-1866	168	14	require	require	VERB
ap-1866	168	15	that	that	PRON
ap-1866	168	16	operator	operator	NOUN
ap-1866	168	17	h	h	NOUN
ap-1866	168	18	remains	remain	VERB
ap-1866	168	19	diagonalizable	diagonalizable	ADJ
ap-1866	168	20	and	and	CCONJ
ap-1866	168	21	that	that	SCONJ
ap-1866	168	22	it	it	PRON
ap-1866	168	23	possesses	possess	VERB
ap-1866	168	24	a	a	DET
ap-1866	168	25	non	non	ADJ
ap-1866	168	26	-	-	ADJ
ap-1866	168	27	degenerate	degenerate	ADJ
ap-1866	168	28	real	real	ADJ
ap-1866	168	29	spectrum	spectrum	NOUN
ap-1866	168	30	.	.	PUNCT
ap-1866	169	1	once	once	SCONJ
ap-1866	169	2	we	we	PRON
ap-1866	169	3	add	add	VERB
ap-1866	169	4	another	another	DET
ap-1866	169	5	observable	observable	ADJ
ap-1866	169	6	q	q	NOUN
ap-1866	169	7	into	into	ADP
ap-1866	169	8	considerations	consideration	NOUN
ap-1866	169	9	,	,	PUNCT
ap-1866	169	10	the	the	DET
ap-1866	169	11	latter	latter	ADJ
ap-1866	169	12	conditions	condition	NOUN
ap-1866	169	13	merely	merely	ADV
ap-1866	169	14	specify	specify	VERB
ap-1866	169	15	the	the	DET
ap-1866	169	16	interior	interior	NOUN
ap-1866	169	17	of	of	ADP
ap-1866	169	18	the	the	DET
ap-1866	169	19	leftmost	leftmost	ADJ
ap-1866	169	20	domain	domain	NOUN
ap-1866	169	21	dh	dh	NOUN
ap-1866	169	22	of	of	ADP
ap-1866	169	23	our	our	PRON
ap-1866	169	24	diagram	diagram	NOUN
ap-1866	169	25	fig	fig	NOUN
ap-1866	169	26	.	.	PUNCT
ap-1866	170	1	1	1	X
ap-1866	170	2	.	.	X
ap-1866	170	3	one	one	PRON
ap-1866	170	4	may	may	AUX
ap-1866	170	5	immediately	immediately	ADV
ap-1866	170	6	conclude	conclude	VERB
ap-1866	170	7	that	that	SCONJ
ap-1866	170	8	the	the	DET
ap-1866	170	9	physical	physical	ADJ
ap-1866	170	10	predictions	prediction	NOUN
ap-1866	170	11	provided	provide	VERB
ap-1866	170	12	by	by	ADP
ap-1866	170	13	the	the	DET
ap-1866	170	14	hamiltonian	hamiltonian	NOUN
ap-1866	170	15	alone	alone	ADV
ap-1866	170	16	(	(	PUNCT
ap-1866	170	17	and	and	CCONJ
ap-1866	170	18	specifying	specify	VERB
ap-1866	170	19	the	the	DET
ap-1866	170	20	physical	physical	ADJ
ap-1866	170	21	domain	domain	NOUN
ap-1866	170	22	of	of	ADP
ap-1866	170	23	stability	stability	NOUN
ap-1866	170	24	as	as	ADP
ap-1866	170	25	an	an	DET
ap-1866	170	26	overlap	overlap	NOUN
ap-1866	170	27	between	between	ADP
ap-1866	170	28	dh	dh	NOUN
ap-1866	170	29	and	and	CCONJ
ap-1866	170	30	the	the	DET
ap-1866	170	31	remaining	remain	VERB
ap-1866	170	32	upper	upper	ADJ
ap-1866	170	33	disc	disc	NOUN
ap-1866	170	34	or	or	CCONJ
ap-1866	170	35	domain	domain	NOUN
ap-1866	170	36	dθ	dθ	PROPN
ap-1866	170	37	)	)	PUNCT
ap-1866	170	38	remain	remain	VERB
ap-1866	170	39	heavily	heavily	ADV
ap-1866	170	40	non	non	ADJ
ap-1866	170	41	-	-	ADJ
ap-1866	170	42	unique	unique	ADJ
ap-1866	170	43	in	in	ADP
ap-1866	170	44	general	general	ADJ
ap-1866	170	45	.	.	PUNCT
ap-1866	171	1	according	accord	VERB
ap-1866	171	2	to	to	ADP
ap-1866	171	3	scholtz	scholtz	PROPN
ap-1866	171	4	et	et	NOUN
ap-1866	171	5	al	al	PROPN
ap-1866	171	6	[	[	X
ap-1866	171	7	2	2	X
ap-1866	171	8	]	]	PUNCT
ap-1866	171	9	it	it	PRON
ap-1866	171	10	is	be	AUX
ap-1866	171	11	therefore	therefore	ADV
ap-1866	171	12	virtually	virtually	ADV
ap-1866	171	13	obligatory	obligatory	ADJ
ap-1866	171	14	to	to	PART
ap-1866	171	15	take	take	VERB
ap-1866	171	16	into	into	ADP
ap-1866	171	17	account	account	NOUN
ap-1866	171	18	at	at	ADP
ap-1866	171	19	least	least	ADV
ap-1866	171	20	one	one	NUM
ap-1866	171	21	other	other	ADJ
ap-1866	171	22	physical	physical	ADJ
ap-1866	171	23	observable	observable	ADJ
ap-1866	171	24	q	q	NOUN
ap-1866	171	25	=	=	SYM
ap-1866	171	26	q(%	q(%	NOUN
ap-1866	171	27	)	)	PUNCT
ap-1866	171	28	.	.	PUNCT
ap-1866	172	1	in	in	ADP
ap-1866	172	2	opposite	opposite	ADJ
ap-1866	172	3	direction	direction	NOUN
ap-1866	172	4	,	,	PUNCT
ap-1866	172	5	even	even	ADV
ap-1866	172	6	the	the	DET
ap-1866	172	7	use	use	NOUN
ap-1866	172	8	of	of	ADP
ap-1866	172	9	a	a	DET
ap-1866	172	10	single	single	ADJ
ap-1866	172	11	additional	additional	ADJ
ap-1866	172	12	observable	observable	ADJ
ap-1866	172	13	q	q	NOUN
ap-1866	172	14	without	without	ADP
ap-1866	172	15	any	any	DET
ap-1866	172	16	free	free	ADJ
ap-1866	172	17	parameters	parameter	NOUN
ap-1866	172	18	may	may	AUX
ap-1866	172	19	prove	prove	VERB
ap-1866	172	20	sufficient	sufficient	ADJ
ap-1866	172	21	for	for	ADP
ap-1866	172	22	an	an	DET
ap-1866	172	23	exhaustive	exhaustive	ADJ
ap-1866	172	24	elimination	elimination	NOUN
ap-1866	172	25	of	of	ADP
ap-1866	172	26	all	all	PRON
ap-1866	172	27	of	of	ADP
ap-1866	172	28	the	the	DET
ap-1866	172	29	ambiguities	ambiguity	NOUN
ap-1866	172	30	in	in	ADP
ap-1866	172	31	certain	certain	ADJ
ap-1866	172	32	models	model	NOUN
ap-1866	172	33	[	[	X
ap-1866	172	34	4	4	NUM
ap-1866	172	35	]	]	PUNCT
ap-1866	172	36	.	.	PUNCT
ap-1866	173	1	one	one	PRON
ap-1866	173	2	can	can	AUX
ap-1866	173	3	conclude	conclude	VERB
ap-1866	173	4	that	that	SCONJ
ap-1866	173	5	the	the	DET
ap-1866	173	6	analysis	analysis	NOUN
ap-1866	173	7	of	of	ADP
ap-1866	173	8	the	the	DET
ap-1866	173	9	consequences	consequence	NOUN
ap-1866	173	10	of	of	ADP
ap-1866	173	11	the	the	DET
ap-1866	173	12	presence	presence	NOUN
ap-1866	173	13	of	of	ADP
ap-1866	173	14	the	the	DET
ap-1866	173	15	single	single	ADJ
ap-1866	173	16	additional	additional	ADJ
ap-1866	173	17	operator	operator	NOUN
ap-1866	173	18	q	q	NOUN
ap-1866	173	19	=	=	SYM
ap-1866	173	20	q(%	q(%	NOUN
ap-1866	173	21	)	)	PUNCT
ap-1866	173	22	deserves	deserve	VERB
ap-1866	173	23	a	a	DET
ap-1866	173	24	careful	careful	ADJ
ap-1866	173	25	attention	attention	NOUN
ap-1866	173	26	.	.	PUNCT
ap-1866	174	1	at	at	ADP
ap-1866	174	2	the	the	DET
ap-1866	174	3	same	same	ADJ
ap-1866	174	4	time	time	NOUN
ap-1866	174	5	,	,	PUNCT
ap-1866	174	6	without	without	ADP
ap-1866	174	7	the	the	DET
ap-1866	174	8	exact	exact	ADJ
ap-1866	174	9	solvability	solvability	NOUN
ap-1866	174	10	of	of	ADP
ap-1866	174	11	the	the	DET
ap-1866	174	12	models	model	NOUN
ap-1866	174	13	,	,	PUNCT
ap-1866	174	14	some	some	PRON
ap-1866	174	15	of	of	ADP
ap-1866	174	16	their	their	PRON
ap-1866	174	17	most	most	ADV
ap-1866	174	18	important	important	ADJ
ap-1866	174	19	merits	merit	NOUN
ap-1866	174	20	(	(	PUNCT
ap-1866	174	21	e.g.	e.g.	ADV
ap-1866	174	22	,	,	PUNCT
ap-1866	174	23	the	the	DET
ap-1866	174	24	reliable	reliable	ADJ
ap-1866	174	25	control	control	NOUN
ap-1866	174	26	and	and	CCONJ
ap-1866	174	27	insight	insight	NOUN
ap-1866	174	28	–	–	PUNCT
ap-1866	174	29	1.5	1.5	NUM
ap-1866	174	30	–	–	SYM
ap-1866	174	31	1	1	NUM
ap-1866	174	32	1	1	NUM
ap-1866	174	33	1.5	1.5	NUM
ap-1866	174	34	–	–	PUNCT
ap-1866	174	35	0.8	0.8	NUM
ap-1866	174	36	–	–	PUNCT
ap-1866	174	37	0.4	0.4	NUM
ap-1866	174	38	0.4	0.4	NUM
ap-1866	174	39	g	g	PROPN
ap-1866	174	40	z	z	NOUN
ap-1866	174	41	figure	figure	NOUN
ap-1866	174	42	3	3	NUM
ap-1866	174	43	.	.	PUNCT
ap-1866	175	1	the	the	DET
ap-1866	175	2	comparison	comparison	NOUN
ap-1866	175	3	of	of	ADP
ap-1866	175	4	zero	zero	NUM
ap-1866	175	5	lines	line	NOUN
ap-1866	175	6	of	of	ADP
ap-1866	175	7	functions	function	NOUN
ap-1866	175	8	g0(z	g0(z	PROPN
ap-1866	175	9	,	,	PUNCT
ap-1866	175	10	g	g	NOUN
ap-1866	175	11	)	)	PUNCT
ap-1866	175	12	and	and	CCONJ
ap-1866	175	13	g(z	g(z	PROPN
ap-1866	175	14	,	,	PUNCT
ap-1866	175	15	g	g	NOUN
ap-1866	175	16	)	)	PUNCT
ap-1866	175	17	.	.	PUNCT
ap-1866	176	1	to	to	ADP
ap-1866	176	2	the	the	DET
ap-1866	176	3	processes	process	NOUN
ap-1866	176	4	of	of	ADP
ap-1866	176	5	the	the	DET
ap-1866	176	6	phase	phase	NOUN
ap-1866	176	7	transitions	transition	NOUN
ap-1866	176	8	)	)	PUNCT
ap-1866	176	9	might	might	AUX
ap-1866	176	10	happen	happen	VERB
ap-1866	176	11	to	to	PART
ap-1866	176	12	be	be	AUX
ap-1866	176	13	inadvertently	inadvertently	ADV
ap-1866	176	14	lost	lose	VERB
ap-1866	176	15	.	.	PUNCT
ap-1866	177	1	6	6	X
ap-1866	177	2	.	.	PUNCT
ap-1866	177	3	adding	add	VERB
ap-1866	177	4	the	the	DET
ap-1866	177	5	degrees	degree	NOUN
ap-1866	177	6	of	of	ADP
ap-1866	177	7	freedom	freedom	NOUN
ap-1866	177	8	6.1	6.1	NUM
ap-1866	177	9	.	.	PUNCT
ap-1866	178	1	embedding	embed	VERB
ap-1866	178	2	:	:	PUNCT
ap-1866	178	3	n	n	PROPN
ap-1866	178	4	=	=	SYM
ap-1866	178	5	2	2	NUM
ap-1866	178	6	space	space	NOUN
ap-1866	178	7	inside	inside	ADP
ap-1866	178	8	n	n	NOUN
ap-1866	178	9	=	=	SYM
ap-1866	178	10	3	3	NUM
ap-1866	178	11	space	space	NOUN
ap-1866	178	12	in	in	ADP
ap-1866	178	13	the	the	DET
ap-1866	178	14	spirit	spirit	NOUN
ap-1866	178	15	of	of	ADP
ap-1866	178	16	ref	ref	NOUN
ap-1866	178	17	.	.	PUNCT
ap-1866	179	1	[	[	X
ap-1866	179	2	20	20	NUM
ap-1866	179	3	]	]	X
ap-1866	179	4	a	a	DET
ap-1866	179	5	return	return	NOUN
ap-1866	179	6	to	to	ADP
ap-1866	179	7	observability	observability	NOUN
ap-1866	179	8	may	may	AUX
ap-1866	179	9	be	be	AUX
ap-1866	179	10	mediated	mediate	VERB
ap-1866	179	11	by	by	ADP
ap-1866	179	12	an	an	DET
ap-1866	179	13	enlargement	enlargement	NOUN
ap-1866	179	14	of	of	ADP
ap-1866	179	15	the	the	DET
ap-1866	179	16	hilbert	hilbert	NOUN
ap-1866	179	17	space	space	NOUN
ap-1866	179	18	.	.	PUNCT
ap-1866	180	1	for	for	ADP
ap-1866	180	2	example	example	NOUN
ap-1866	180	3	,	,	PUNCT
ap-1866	180	4	a	a	DET
ap-1866	180	5	weak	weak	ADJ
ap-1866	180	6	-	-	PUNCT
ap-1866	180	7	coupling	couple	VERB
ap-1866	180	8	immersion	immersion	NOUN
ap-1866	180	9	of	of	ADP
ap-1866	180	10	our	our	PRON
ap-1866	180	11	matrices	matrix	NOUN
ap-1866	180	12	h(2)(λ	h(2)(λ	NOUN
ap-1866	180	13	)	)	PUNCT
ap-1866	180	14	in	in	ADP
ap-1866	180	15	their	their	PRON
ap-1866	180	16	three	three	NUM
ap-1866	180	17	by	by	ADP
ap-1866	180	18	three	three	NUM
ap-1866	180	19	extension	extension	NOUN
ap-1866	180	20	h(3	h(3	NOUN
ap-1866	180	21	)	)	PUNCT
ap-1866	181	1	=	=	SYM
ap-1866	181	2			NOUN
ap-1866	181	3	−1	−1	NOUN
ap-1866	181	4	1	1	NUM
ap-1866	182	1	+	+	CCONJ
ap-1866	182	2	z	z	NOUN
ap-1866	182	3	0	0	NUM
ap-1866	183	1	−1−	−1−	PROPN
ap-1866	183	2	z	z	NOUN
ap-1866	183	3	1	1	NUM
ap-1866	183	4	g	g	NOUN
ap-1866	183	5	0	0	NUM
ap-1866	183	6	−g	−g	NOUN
ap-1866	183	7	3	3	NUM
ap-1866	183	8			NOUN
ap-1866	183	9	(	(	PUNCT
ap-1866	183	10	15	15	NUM
ap-1866	183	11	)	)	PUNCT
ap-1866	183	12	may	may	AUX
ap-1866	183	13	be	be	AUX
ap-1866	183	14	interpreted	interpret	VERB
ap-1866	183	15	as	as	ADP
ap-1866	183	16	a	a	DET
ap-1866	183	17	consequence	consequence	NOUN
ap-1866	183	18	of	of	ADP
ap-1866	183	19	the	the	DET
ap-1866	183	20	immersion	immersion	NOUN
ap-1866	183	21	of	of	ADP
ap-1866	183	22	the	the	DET
ap-1866	183	23	smaller	small	ADJ
ap-1866	183	24	hilbert	hilbert	NOUN
ap-1866	183	25	space	space	NOUN
ap-1866	183	26	(	(	PUNCT
ap-1866	183	27	where	where	SCONJ
ap-1866	183	28	one	one	NUM
ap-1866	183	29	defined	define	VERB
ap-1866	183	30	hamiltonian	hamiltonian	NOUN
ap-1866	183	31	(	(	PUNCT
ap-1866	183	32	2	2	NUM
ap-1866	183	33	)	)	PUNCT
ap-1866	183	34	)	)	PUNCT
ap-1866	183	35	into	into	ADP
ap-1866	183	36	a	a	DET
ap-1866	183	37	bigger	big	ADJ
ap-1866	183	38	hilbert	hilbert	NOUN
ap-1866	183	39	space	space	NOUN
ap-1866	183	40	.	.	PUNCT
ap-1866	184	1	via	via	ADP
ap-1866	184	2	the	the	DET
ap-1866	184	3	new	new	ADJ
ap-1866	184	4	hamiltonian	hamiltonian	NOUN
ap-1866	184	5	(	(	PUNCT
ap-1866	184	6	15	15	NUM
ap-1866	184	7	)	)	PUNCT
ap-1866	184	8	,	,	PUNCT
ap-1866	184	9	the	the	DET
ap-1866	184	10	old	old	ADJ
ap-1866	184	11	hamiltonian	hamiltonian	NOUN
ap-1866	184	12	becomes	become	VERB
ap-1866	184	13	weakly	weakly	ADV
ap-1866	184	14	coupled	couple	VERB
ap-1866	184	15	to	to	ADP
ap-1866	184	16	a	a	DET
ap-1866	184	17	new	new	ADJ
ap-1866	184	18	physical	physical	ADJ
ap-1866	184	19	degree	degree	NOUN
ap-1866	184	20	of	of	ADP
ap-1866	184	21	freedom	freedom	NOUN
ap-1866	184	22	by	by	ADP
ap-1866	184	23	the	the	DET
ap-1866	184	24	interaction	interaction	NOUN
ap-1866	184	25	proportional	proportional	NOUN
ap-1866	184	26	to	to	ADP
ap-1866	184	27	a	a	DET
ap-1866	184	28	small	small	ADJ
ap-1866	184	29	constant	constant	ADJ
ap-1866	184	30	g.	g.	NOUN
ap-1866	184	31	in	in	ADP
ap-1866	184	32	a	a	DET
ap-1866	184	33	way	way	NOUN
ap-1866	184	34	discussed	discuss	VERB
ap-1866	184	35	in	in	ADP
ap-1866	184	36	more	more	ADJ
ap-1866	184	37	detail	detail	NOUN
ap-1866	184	38	in	in	ADP
ap-1866	184	39	our	our	PRON
ap-1866	184	40	older	old	ADJ
ap-1866	184	41	paper	paper	NOUN
ap-1866	184	42	[	[	X
ap-1866	184	43	21	21	NUM
ap-1866	184	44	]	]	PUNCT
ap-1866	184	45	,	,	PUNCT
ap-1866	184	46	the	the	DET
ap-1866	184	47	boundary	boundary	NOUN
ap-1866	184	48	of	of	ADP
ap-1866	184	49	the	the	DET
ap-1866	184	50	new	new	ADJ
ap-1866	184	51	physical	physical	ADJ
ap-1866	184	52	domain	domain	NOUN
ap-1866	184	53	dh(3	dh(3	PROPN
ap-1866	184	54	)	)	PUNCT
ap-1866	184	55	coincides	coincide	VERB
ap-1866	184	56	with	with	ADP
ap-1866	184	57	the	the	DET
ap-1866	184	58	zero	zero	NUM
ap-1866	184	59	line	line	NOUN
ap-1866	184	60	of	of	ADP
ap-1866	184	61	the	the	DET
ap-1866	184	62	following	follow	VERB
ap-1866	184	63	polynomial	polynomial	ADJ
ap-1866	184	64	g(z	g(z	PROPN
ap-1866	184	65	,	,	PUNCT
ap-1866	184	66	g	g	NOUN
ap-1866	184	67	)	)	PUNCT
ap-1866	184	68	in	in	ADP
ap-1866	184	69	two	two	NUM
ap-1866	184	70	variables	variable	NOUN
ap-1866	184	71	,	,	PUNCT
ap-1866	184	72	60g2z2	60g2z2	NUM
ap-1866	184	73	−	−	NUM
ap-1866	184	74	6zg4	6zg4	NUM
ap-1866	184	75	−	−	PROPN
ap-1866	184	76	12g2z3	12g2z3	PROPN
ap-1866	184	77	−	−	PROPN
ap-1866	184	78	z6	z6	PROPN
ap-1866	184	79	−	−	PROPN
ap-1866	184	80	162z	162z	PROPN
ap-1866	185	1	+	+	CCONJ
ap-1866	186	1	27g2	27g2	NUM
ap-1866	186	2	−	−	NUM
ap-1866	186	3	18g4	18g4	NUM
ap-1866	186	4	−	−	NOUN
ap-1866	186	5	g6	g6	ADJ
ap-1866	186	6	−	−	PROPN
ap-1866	186	7	153z2	153z2	NUM
ap-1866	186	8	−	−	PROPN
ap-1866	186	9	3g4z2	3g4z2	NUM
ap-1866	186	10	−	−	PROPN
ap-1866	186	11	3g2z4	3g2z4	NUM
ap-1866	186	12	−	−	PROPN
ap-1866	186	13	6z5	6z5	NUM
ap-1866	186	14	−	−	PROPN
ap-1866	186	15	30z4	30z4	NUM
ap-1866	186	16	−	−	PROPN
ap-1866	186	17	80z3	80z3	NUM
ap-1866	186	18	+	+	NUM
ap-1866	186	19	144zg2	144zg2	X
ap-1866	186	20	.	.	PUNCT
ap-1866	187	1	(	(	PUNCT
ap-1866	187	2	16	16	NUM
ap-1866	187	3	)	)	PUNCT
ap-1866	187	4	the	the	DET
ap-1866	187	5	shape	shape	NOUN
ap-1866	187	6	of	of	ADP
ap-1866	187	7	this	this	DET
ap-1866	187	8	line	line	NOUN
ap-1866	187	9	is	be	AUX
ap-1866	187	10	shown	show	VERB
ap-1866	187	11	in	in	ADP
ap-1866	187	12	fig	fig	NOUN
ap-1866	187	13	.	.	PUNCT
ap-1866	188	1	2	2	X
ap-1866	188	2	.	.	X
ap-1866	188	3	in	in	ADP
ap-1866	188	4	the	the	DET
ap-1866	188	5	vicinity	vicinity	NOUN
ap-1866	188	6	of	of	ADP
ap-1866	188	7	z	z	PROPN
ap-1866	188	8	=	=	SYM
ap-1866	188	9	0	0	NUM
ap-1866	188	10	and	and	CCONJ
ap-1866	188	11	g	g	NOUN
ap-1866	188	12	=	=	SYM
ap-1866	188	13	0	0	PROPN
ap-1866	188	14	,	,	PUNCT
ap-1866	188	15	the	the	DET
ap-1866	188	16	truncated	truncated	ADJ
ap-1866	188	17	polynomial	polynomial	ADJ
ap-1866	188	18	g0(z	g0(z	PROPN
ap-1866	188	19	,	,	PUNCT
ap-1866	188	20	g	g	NOUN
ap-1866	188	21	)	)	PUNCT
ap-1866	188	22	=	=	SYM
ap-1866	189	1	27g2	27g2	NUM
ap-1866	189	2	−	−	PROPN
ap-1866	189	3	162z	162z	PROPN
ap-1866	189	4	−	−	PROPN
ap-1866	190	1	18g4	18g4	NUM
ap-1866	191	1	+	+	NUM
ap-1866	191	2	144zg2	144zg2	NUM
ap-1866	191	3	−	−	NOUN
ap-1866	191	4	g6	g6	ADJ
ap-1866	191	5	−	−	PROPN
ap-1866	191	6	153z2	153z2	NUM
ap-1866	191	7	−	−	NOUN
ap-1866	191	8	6zg4	6zg4	NUM
ap-1866	191	9	appears	appear	VERB
ap-1866	191	10	useful	useful	ADJ
ap-1866	191	11	as	as	ADP
ap-1866	191	12	a	a	DET
ap-1866	191	13	source	source	NOUN
ap-1866	191	14	of	of	ADP
ap-1866	191	15	the	the	DET
ap-1866	191	16	auxiliary	auxiliary	ADJ
ap-1866	191	17	boundary	boundary	NOUN
ap-1866	191	18	of	of	ADP
ap-1866	191	19	a	a	DET
ap-1866	191	20	fairly	fairly	ADV
ap-1866	191	21	large	large	ADJ
ap-1866	191	22	subdomain	subdomain	NOUN
ap-1866	191	23	d0	d0	NOUN
ap-1866	191	24	of	of	ADP
ap-1866	191	25	the	the	DET
ap-1866	191	26	physical	physical	ADJ
ap-1866	191	27	domain	domain	NOUN
ap-1866	191	28	dh(3	dh(3	PROPN
ap-1866	191	29	)	)	PUNCT
ap-1866	191	30	(	(	PUNCT
ap-1866	191	31	cf	cf	NOUN
ap-1866	191	32	.	.	PUNCT
ap-1866	191	33	fig	fig	NOUN
ap-1866	191	34	.	.	PUNCT
ap-1866	192	1	(	(	PUNCT
ap-1866	192	2	3	3	NUM
ap-1866	192	3	)	)	PUNCT
ap-1866	192	4	)	)	PUNCT
ap-1866	192	5	.	.	PUNCT
ap-1866	193	1	all	all	PRON
ap-1866	193	2	of	of	ADP
ap-1866	193	3	these	these	DET
ap-1866	193	4	observations	observation	NOUN
ap-1866	193	5	imply	imply	VERB
ap-1866	193	6	that	that	SCONJ
ap-1866	193	7	the	the	DET
ap-1866	193	8	original	original	ADJ
ap-1866	193	9	z	z	NOUN
ap-1866	193	10	=	=	SYM
ap-1866	193	11	0	0	NUM
ap-1866	193	12	boundary	boundary	ADJ
ap-1866	193	13	bends	bend	NOUN
ap-1866	193	14	up	up	ADV
ap-1866	193	15	,	,	PUNCT
ap-1866	193	16	i.e.	i.e.	X
ap-1866	193	17	,	,	PUNCT
ap-1866	193	18	the	the	DET
ap-1866	193	19	net	net	ADJ
ap-1866	193	20	effect	effect	NOUN
ap-1866	193	21	of	of	ADP
ap-1866	193	22	the	the	DET
ap-1866	193	23	introduction	introduction	NOUN
ap-1866	193	24	of	of	ADP
ap-1866	193	25	the	the	DET
ap-1866	193	26	new	new	ADJ
ap-1866	193	27	,	,	PUNCT
ap-1866	193	28	not	not	PART
ap-1866	193	29	too	too	ADV
ap-1866	193	30	large	large	ADJ
ap-1866	193	31	coupling	coupling	NOUN
ap-1866	193	32	g	g	ADP
ap-1866	193	33	6=	6=	ADP
ap-1866	193	34	0	0	NUM
ap-1866	193	35	lies	lie	NOUN
ap-1866	193	36	in	in	ADP
ap-1866	193	37	the	the	DET
ap-1866	193	38	enlargement	enlargement	NOUN
ap-1866	193	39	of	of	ADP
ap-1866	193	40	the	the	DET
ap-1866	193	41	domain	domain	NOUN
ap-1866	193	42	of	of	ADP
ap-1866	193	43	the	the	DET
ap-1866	193	44	reality	reality	NOUN
ap-1866	193	45	of	of	ADP
ap-1866	193	46	the	the	DET
ap-1866	193	47	energy	energy	NOUN
ap-1866	193	48	spectrum	spectrum	NOUN
ap-1866	193	49	beyond	beyond	ADP
ap-1866	193	50	λ	λ	X
ap-1866	193	51	=	=	SYM
ap-1866	193	52	1	1	NUM
ap-1866	193	53	(	(	PUNCT
ap-1866	193	54	and	and	CCONJ
ap-1866	193	55	,	,	PUNCT
ap-1866	193	56	symmetrically	symmetrically	ADV
ap-1866	193	57	,	,	PUNCT
ap-1866	193	58	below	below	ADP
ap-1866	193	59	λ	λ	PROPN
ap-1866	193	60	=	=	SYM
ap-1866	193	61	−1	−1	NOUN
ap-1866	193	62	)	)	PUNCT
ap-1866	193	63	.	.	PUNCT
ap-1866	194	1	in	in	ADP
ap-1866	194	2	other	other	ADJ
ap-1866	194	3	words	word	NOUN
ap-1866	194	4	,	,	PUNCT
ap-1866	194	5	an	an	DET
ap-1866	194	6	enhancement	enhancement	NOUN
ap-1866	194	7	of	of	ADP
ap-1866	194	8	the	the	DET
ap-1866	194	9	477	477	NUM
ap-1866	194	10	m.	m.	NOUN
ap-1866	194	11	znojil	znojil	PROPN
ap-1866	194	12	acta	acta	PROPN
ap-1866	194	13	polytechnica	polytechnica	PROPN
ap-1866	194	14	–	–	PUNCT
ap-1866	194	15	2	2	NUM
ap-1866	194	16	–	–	SYM
ap-1866	194	17	1	1	NUM
ap-1866	194	18	0	0	NUM
ap-1866	194	19	–	–	PUNCT
ap-1866	194	20	1	1	NUM
ap-1866	194	21	0	0	NUM
ap-1866	194	22	1	1	NUM
ap-1866	194	23	0.3	0.3	NUM
ap-1866	194	24	0.5	0.5	NUM
ap-1866	194	25	0.7	0.7	NUM
ap-1866	194	26	0.9	0.9	NUM
ap-1866	194	27	g	g	PROPN
ap-1866	194	28	z	z	NOUN
ap-1866	194	29	θ	θ	PROPN
ap-1866	194	30	figure	figure	NOUN
ap-1866	194	31	4	4	NUM
ap-1866	194	32	.	.	PUNCT
ap-1866	195	1	the	the	DET
ap-1866	195	2	subdominant	subdominant	ADJ
ap-1866	195	3	eigenvalue	eigenvalue	NOUN
ap-1866	195	4	of	of	ADP
ap-1866	195	5	metric	metric	ADJ
ap-1866	195	6	θ(3)(1	θ(3)(1	NOUN
ap-1866	195	7	,	,	PUNCT
ap-1866	195	8	1	1	NUM
ap-1866	195	9	,	,	PUNCT
ap-1866	195	10	1	1	NUM
ap-1866	195	11	)	)	PUNCT
ap-1866	195	12	.	.	PUNCT
ap-1866	196	1	it	it	PRON
ap-1866	196	2	stays	stay	VERB
ap-1866	196	3	safely	safely	ADV
ap-1866	196	4	positive	positive	ADJ
ap-1866	196	5	in	in	ADP
ap-1866	196	6	the	the	DET
ap-1866	196	7	whole	whole	ADJ
ap-1866	196	8	preselected	preselecte	VERB
ap-1866	196	9	rectangle	rectangle	NOUN
ap-1866	196	10	of	of	ADP
ap-1866	196	11	parameters	parameter	NOUN
ap-1866	196	12	z	z	PROPN
ap-1866	196	13	and	and	CCONJ
ap-1866	196	14	s.	s.	PROPN
ap-1866	196	15	stability	stability	NOUN
ap-1866	196	16	of	of	ADP
ap-1866	196	17	the	the	DET
ap-1866	196	18	system	system	NOUN
ap-1866	196	19	with	with	ADP
ap-1866	196	20	respect	respect	NOUN
ap-1866	196	21	to	to	ADP
ap-1866	196	22	some	some	DET
ap-1866	196	23	random	random	ADJ
ap-1866	196	24	perturbations	perturbation	NOUN
ap-1866	196	25	is	be	AUX
ap-1866	196	26	achieved	achieve	VERB
ap-1866	196	27	simply	simply	ADV
ap-1866	196	28	by	by	ADP
ap-1866	196	29	coupling	couple	VERB
ap-1866	196	30	it	it	PRON
ap-1866	196	31	to	to	ADP
ap-1866	196	32	an	an	DET
ap-1866	196	33	environment	environment	NOUN
ap-1866	196	34	.	.	PUNCT
ap-1866	197	1	6.2	6.2	NUM
ap-1866	197	2	.	.	PUNCT
ap-1866	198	1	global	global	ADJ
ap-1866	198	2	metrics	metric	NOUN
ap-1866	198	3	at	at	ADP
ap-1866	198	4	n	n	PROPN
ap-1866	198	5	=	=	SYM
ap-1866	198	6	3	3	NUM
ap-1866	198	7	the	the	DET
ap-1866	198	8	enlarged	enlarge	VERB
ap-1866	198	9	system	system	NOUN
ap-1866	198	10	controlled	control	VERB
ap-1866	198	11	by	by	ADP
ap-1866	198	12	hamiltonian	hamiltonian	ADJ
ap-1866	198	13	h(3	h(3	PROPN
ap-1866	198	14	)	)	PUNCT
ap-1866	198	15	of	of	ADP
ap-1866	198	16	eq	eq	PROPN
ap-1866	198	17	.	.	PUNCT
ap-1866	199	1	(	(	PUNCT
ap-1866	199	2	15	15	NUM
ap-1866	199	3	)	)	PUNCT
ap-1866	199	4	has	have	AUX
ap-1866	199	5	been	be	AUX
ap-1866	199	6	chosen	choose	VERB
ap-1866	199	7	as	as	ADP
ap-1866	199	8	crypto	crypto	NOUN
ap-1866	199	9	-	-	ADJ
ap-1866	199	10	hermitian	hermitian	ADJ
ap-1866	199	11	.	.	PUNCT
ap-1866	200	1	the	the	DET
ap-1866	200	2	construction	construction	NOUN
ap-1866	200	3	of	of	ADP
ap-1866	200	4	the	the	DET
ap-1866	200	5	eligible	eligible	ADJ
ap-1866	200	6	metrics	metric	NOUN
ap-1866	200	7	θ(3	θ(3	PROPN
ap-1866	200	8	)	)	PUNCT
ap-1866	201	1	=	=	SYM
ap-1866	201	2			NOUN
ap-1866	202	1	a	a	DET
ap-1866	202	2	b	b	X
ap-1866	202	3	c	c	NOUN
ap-1866	202	4	b	b	PROPN
ap-1866	202	5	f	f	PROPN
ap-1866	202	6	h	h	NOUN
ap-1866	203	1	c	c	NOUN
ap-1866	203	2	h	h	NOUN
ap-1866	203	3	m	m	VERB
ap-1866	203	4			ADJ
ap-1866	203	5	(	(	PUNCT
ap-1866	203	6	17	17	NUM
ap-1866	203	7	)	)	PUNCT
ap-1866	203	8	of	of	ADP
ap-1866	203	9	the	the	DET
ap-1866	203	10	enlarged	enlarge	VERB
ap-1866	203	11	and	and	CCONJ
ap-1866	203	12	re	re	VERB
ap-1866	203	13	-	-	VERB
ap-1866	203	14	coupled	couple	VERB
ap-1866	203	15	system	system	NOUN
ap-1866	203	16	may	may	AUX
ap-1866	203	17	be	be	AUX
ap-1866	203	18	perceived	perceive	VERB
ap-1866	203	19	as	as	ADP
ap-1866	203	20	another	another	DET
ap-1866	203	21	exercise	exercise	NOUN
ap-1866	203	22	in	in	ADP
ap-1866	203	23	the	the	DET
ap-1866	203	24	construction	construction	NOUN
ap-1866	203	25	of	of	ADP
ap-1866	203	26	the	the	DET
ap-1866	203	27	metrics	metric	NOUN
ap-1866	203	28	exactly	exactly	ADV
ap-1866	203	29	,	,	PUNCT
ap-1866	203	30	by	by	ADP
ap-1866	203	31	non	non	ADJ
ap-1866	203	32	-	-	ADJ
ap-1866	203	33	numerical	numerical	ADJ
ap-1866	203	34	means	mean	NOUN
ap-1866	203	35	.	.	PUNCT
ap-1866	204	1	using	use	VERB
ap-1866	204	2	the	the	DET
ap-1866	204	3	similar	similar	ADJ
ap-1866	204	4	techniques	technique	NOUN
ap-1866	204	5	we	we	PRON
ap-1866	204	6	obtain	obtain	VERB
ap-1866	204	7	,	,	PUNCT
ap-1866	204	8	step	step	NOUN
ap-1866	204	9	-	-	PUNCT
ap-1866	204	10	by	by	ADP
ap-1866	204	11	-	-	PUNCT
ap-1866	204	12	step	step	NOUN
ap-1866	204	13	,	,	PUNCT
ap-1866	204	14	c	c	NOUN
ap-1866	204	15	=	=	PUNCT
ap-1866	204	16	(	(	PUNCT
ap-1866	204	17	−h−	−h−	NOUN
ap-1866	204	18	hz	hz	VERB
ap-1866	204	19	−	−	PROPN
ap-1866	204	20	bg)/4	bg)/4	NOUN
ap-1866	204	21	,	,	PUNCT
ap-1866	205	1	b	b	X
ap-1866	205	2	=	=	SYM
ap-1866	205	3	−(4az	−(4az	PROPN
ap-1866	206	1	+	+	NUM
ap-1866	206	2	4f	4f	NUM
ap-1866	206	3	+	+	NUM
ap-1866	206	4	4fz	4fz	NOUN
ap-1866	206	5	+	+	CCONJ
ap-1866	206	6	4a+	4a+	NUM
ap-1866	206	7	hg	hg	NOUN
ap-1866	206	8	+	+	CCONJ
ap-1866	206	9	ghz)/(8	ghz)/(8	PROPN
ap-1866	206	10	+	+	CCONJ
ap-1866	206	11	g2	g2	PROPN
ap-1866	206	12	)	)	PUNCT
ap-1866	206	13	and	and	CCONJ
ap-1866	206	14	eliminate	eliminate	VERB
ap-1866	206	15	,	,	PUNCT
ap-1866	206	16	finally	finally	ADV
ap-1866	206	17	,	,	PUNCT
ap-1866	206	18	−	−	PROPN
ap-1866	206	19	2h(9	2h(9	NOUN
ap-1866	207	1	+	+	CCONJ
ap-1866	207	2	2z	2z	NUM
ap-1866	208	1	+	+	X
ap-1866	208	2	z2	z2	NOUN
ap-1866	208	3	+	+	CCONJ
ap-1866	208	4	g2)/g	g2)/g	PROPN
ap-1866	208	5	=	=	PROPN
ap-1866	208	6	−2az	−2az	PROPN
ap-1866	208	7	−	−	PROPN
ap-1866	208	8	az2	az2	PROPN
ap-1866	209	1	+	+	X
ap-1866	209	2	7f	7f	X
ap-1866	209	3	−	−	ADP
ap-1866	209	4	2fz	2fz	ADJ
ap-1866	209	5	−	−	PROPN
ap-1866	209	6	fz2	fz2	NOUN
ap-1866	209	7	−	−	NOUN
ap-1866	209	8	a+	a+	PUNCT
ap-1866	209	9	8m+mg2	8m+mg2	NUM
ap-1866	209	10	+	+	CCONJ
ap-1866	209	11	fg2	fg2	ADJ
ap-1866	209	12	.	.	PUNCT
ap-1866	210	1	thus	thus	ADV
ap-1866	210	2	,	,	PUNCT
ap-1866	210	3	starting	start	VERB
ap-1866	210	4	from	from	ADP
ap-1866	210	5	the	the	DET
ap-1866	210	6	three	three	NUM
ap-1866	210	7	arbitrary	arbitrary	ADJ
ap-1866	210	8	real	real	ADJ
ap-1866	210	9	parameters	parameter	NOUN
ap-1866	210	10	θ11	θ11	VERB
ap-1866	210	11	=	=	SYM
ap-1866	210	12	a	a	NOUN
ap-1866	210	13	,	,	PUNCT
ap-1866	210	14	θ22	θ22	NOUN
ap-1866	210	15	=	=	SYM
ap-1866	210	16	f	f	PROPN
ap-1866	210	17	and	and	CCONJ
ap-1866	210	18	θ33	θ33	ADJ
ap-1866	211	1	=	=	NOUN
ap-1866	211	2	m	m	VERB
ap-1866	211	3	we	we	PRON
ap-1866	211	4	recursively	recursively	ADV
ap-1866	211	5	eliminate	eliminate	VERB
ap-1866	211	6	θ1,3	θ1,3	PROPN
ap-1866	211	7	=	=	PUNCT
ap-1866	211	8	c	c	X
ap-1866	211	9	=	=	PUNCT
ap-1866	211	10	(	(	PUNCT
ap-1866	211	11	−h	−h	ADV
ap-1866	211	12	−	−	PROPN
ap-1866	211	13	hz	hz	VERB
ap-1866	211	14	−	−	PROPN
ap-1866	211	15	bg)/4	bg)/4	NOUN
ap-1866	211	16	,	,	PUNCT
ap-1866	211	17	θ1,2	θ1,2	PROPN
ap-1866	211	18	=	=	SYM
ap-1866	211	19	b	b	X
ap-1866	211	20	=	=	SYM
ap-1866	211	21	−(4az+	−(4az+	NOUN
ap-1866	211	22	4f	4f	NUM
ap-1866	212	1	+	+	CCONJ
ap-1866	212	2	4fz+	4fz+	NUM
ap-1866	212	3	4a+hg+	4a+hg+	DET
ap-1866	212	4	ghz)/(8	ghz)/(8	NOUN
ap-1866	212	5	+	+	CCONJ
ap-1866	212	6	g2	g2	PROPN
ap-1866	212	7	)	)	PUNCT
ap-1866	212	8	and	and	CCONJ
ap-1866	212	9	θ2,1	θ2,1	PROPN
ap-1866	212	10	=	=	SYM
ap-1866	212	11	h	h	NOUN
ap-1866	212	12	=	=	SYM
ap-1866	213	1	−	−	PROPN
ap-1866	213	2	1	1	NUM
ap-1866	213	3	2g(−2az	2g(−2az	NOUN
ap-1866	213	4	−	−	NOUN
ap-1866	213	5	az2	az2	PROPN
ap-1866	213	6	+	+	X
ap-1866	213	7	7f	7f	X
ap-1866	213	8	−	−	ADP
ap-1866	213	9	2fz	2fz	ADJ
ap-1866	213	10	−	−	PROPN
ap-1866	213	11	fz2	fz2	NOUN
ap-1866	213	12	−	−	NOUN
ap-1866	213	13	a+	a+	PUNCT
ap-1866	213	14	8m+mg2	8m+mg2	NUM
ap-1866	213	15	+	+	NOUN
ap-1866	213	16	fg2)/(9	fg2)/(9	NOUN
ap-1866	214	1	+	+	CCONJ
ap-1866	214	2	2z	2z	NUM
ap-1866	215	1	+	+	X
ap-1866	215	2	z2	z2	PROPN
ap-1866	215	3	+	+	CCONJ
ap-1866	215	4	g2	g2	PROPN
ap-1866	215	5	)	)	PUNCT
ap-1866	215	6	.	.	PUNCT
ap-1866	216	1	as	as	ADP
ap-1866	216	2	a	a	DET
ap-1866	216	3	final	final	ADJ
ap-1866	216	4	result	result	NOUN
ap-1866	216	5	we	we	PRON
ap-1866	216	6	obtain	obtain	VERB
ap-1866	216	7	the	the	DET
ap-1866	216	8	formula	formula	NOUN
ap-1866	216	9	for	for	ADP
ap-1866	216	10	2(9	2(9	NUM
ap-1866	216	11	+	+	CCONJ
ap-1866	216	12	2z	2z	NUM
ap-1866	216	13	+	+	X
ap-1866	216	14	z2	z2	ADJ
ap-1866	216	15	+	+	CCONJ
ap-1866	216	16	g2)θ1,2	g2)θ1,2	PROPN
ap-1866	216	17	=	=	SYM
ap-1866	216	18	zg2m+	zg2m+	PROPN
ap-1866	216	19	fzg2	fzg2	PROPN
ap-1866	216	20	+	+	PROPN
ap-1866	216	21	mg2	mg2	PROPN
ap-1866	216	22	+	+	CCONJ
ap-1866	217	1	fg2	fg2	ADP
ap-1866	217	2	−	−	PROPN
ap-1866	217	3	3fz2	3fz2	NUM
ap-1866	217	4	−	−	NOUN
ap-1866	217	5	3az2	3az2	NUM
ap-1866	217	6	−	−	PROPN
ap-1866	218	1	fz3	fz3	ADV
ap-1866	218	2	−	−	PROPN
ap-1866	218	3	az3	az3	NOUN
ap-1866	218	4	−	−	PROPN
ap-1866	218	5	9a−	9a−	NUM
ap-1866	218	6	11fz	11fz	ADJ
ap-1866	218	7	−	−	ADP
ap-1866	218	8	11az	11az	ADJ
ap-1866	218	9	−	−	PROPN
ap-1866	218	10	9f	9f	NUM
ap-1866	218	11	.	.	PUNCT
ap-1866	219	1	thus	thus	ADV
ap-1866	219	2	,	,	PUNCT
ap-1866	219	3	we	we	PRON
ap-1866	219	4	may	may	AUX
ap-1866	219	5	denote	denote	VERB
ap-1866	219	6	θ	θ	PROPN
ap-1866	219	7	=	=	PUNCT
ap-1866	219	8	θ(3)(a	θ(3)(a	PROPN
ap-1866	219	9	,	,	PUNCT
ap-1866	219	10	f	f	PROPN
ap-1866	219	11	,	,	PUNCT
ap-1866	219	12	m	m	PROPN
ap-1866	219	13	)	)	PUNCT
ap-1866	219	14	and	and	CCONJ
ap-1866	219	15	conclude	conclude	VERB
ap-1866	219	16	that	that	SCONJ
ap-1866	219	17	the	the	DET
ap-1866	219	18	metric	metric	NOUN
ap-1866	219	19	is	be	AUX
ap-1866	219	20	obtainable	obtainable	ADJ
ap-1866	219	21	in	in	ADP
ap-1866	219	22	closed	closed	ADJ
ap-1866	219	23	form	form	NOUN
ap-1866	219	24	so	so	SCONJ
ap-1866	219	25	that	that	SCONJ
ap-1866	219	26	our	our	PRON
ap-1866	219	27	extended	extend	VERB
ap-1866	219	28	,	,	PUNCT
ap-1866	219	29	n	n	NOUN
ap-1866	219	30	=	=	SYM
ap-1866	219	31	3	3	NUM
ap-1866	219	32	quantum	quantum	NOUN
ap-1866	219	33	system	system	NOUN
ap-1866	219	34	remains	remain	VERB
ap-1866	219	35	also	also	ADV
ap-1866	219	36	solvable	solvable	ADJ
ap-1866	219	37	.	.	PUNCT
ap-1866	220	1	–	–	PUNCT
ap-1866	220	2	2	2	NUM
ap-1866	220	3	–	–	SYM
ap-1866	220	4	1	1	NUM
ap-1866	220	5	0	0	NUM
ap-1866	220	6	–	–	SYM
ap-1866	220	7	1	1	NUM
ap-1866	220	8	–	–	SYM
ap-1866	220	9	0.5	0.5	NUM
ap-1866	220	10	0	0	NUM
ap-1866	220	11	0.5	0.5	NUM
ap-1866	220	12	1	1	NUM
ap-1866	220	13	g	g	NOUN
ap-1866	220	14	z	z	NOUN
ap-1866	220	15	figure	figure	NOUN
ap-1866	220	16	5	5	NUM
ap-1866	220	17	.	.	PUNCT
ap-1866	221	1	the	the	DET
ap-1866	221	2	complete	complete	ADJ
ap-1866	221	3	domain	domain	NOUN
ap-1866	221	4	of	of	ADP
ap-1866	221	5	positivity	positivity	NOUN
ap-1866	221	6	of	of	ADP
ap-1866	221	7	the	the	DET
ap-1866	221	8	smallest	small	ADJ
ap-1866	221	9	eigenvalue	eigenvalue	NOUN
ap-1866	221	10	of	of	ADP
ap-1866	221	11	metric	metric	ADJ
ap-1866	221	12	θ(3)(1	θ(3)(1	NOUN
ap-1866	221	13	,	,	PUNCT
ap-1866	221	14	1	1	NUM
ap-1866	221	15	,	,	PUNCT
ap-1866	221	16	1	1	NUM
ap-1866	221	17	)	)	PUNCT
ap-1866	221	18	.	.	PUNCT
ap-1866	222	1	if	if	SCONJ
ap-1866	222	2	we	we	PRON
ap-1866	222	3	also	also	ADV
ap-1866	222	4	wish	wish	VERB
ap-1866	222	5	to	to	PART
ap-1866	222	6	determine	determine	VERB
ap-1866	222	7	the	the	DET
ap-1866	222	8	critical	critical	ADJ
ap-1866	222	9	boundaries	boundary	NOUN
ap-1866	222	10	∂dθ	∂dθ	PROPN
ap-1866	222	11	of	of	ADP
ap-1866	222	12	the	the	DET
ap-1866	222	13	related	relate	VERB
ap-1866	222	14	metric	metric	ADJ
ap-1866	222	15	-	-	PUNCT
ap-1866	222	16	positivity	positivity	NOUN
ap-1866	222	17	domain	domain	NOUN
ap-1866	222	18	dθ	dθ	PROPN
ap-1866	222	19	,	,	PUNCT
ap-1866	222	20	the	the	DET
ap-1866	222	21	available	available	ADJ
ap-1866	222	22	cardano	cardano	PROPN
ap-1866	222	23	’s	’s	PART
ap-1866	222	24	closed	close	VERB
ap-1866	222	25	formulae	formulae	NOUN
ap-1866	222	26	for	for	ADP
ap-1866	222	27	the	the	DET
ap-1866	222	28	corresponding	correspond	VERB
ap-1866	222	29	three	three	NUM
ap-1866	222	30	eigenvalues	eigenvalue	NOUN
ap-1866	222	31	θj	θj	DET
ap-1866	222	32	yield	yield	NOUN
ap-1866	222	33	just	just	ADV
ap-1866	222	34	the	the	DET
ap-1866	222	35	correct	correct	ADJ
ap-1866	222	36	answer	answer	NOUN
ap-1866	222	37	in	in	ADP
ap-1866	222	38	a	a	DET
ap-1866	222	39	practically	practically	ADV
ap-1866	222	40	useless	useless	ADJ
ap-1866	222	41	form	form	NOUN
ap-1866	222	42	.	.	PUNCT
ap-1866	223	1	thus	thus	ADV
ap-1866	223	2	,	,	PUNCT
ap-1866	223	3	we	we	PRON
ap-1866	223	4	either	either	CCONJ
ap-1866	223	5	have	have	VERB
ap-1866	223	6	to	to	PART
ap-1866	223	7	recall	recall	VERB
ap-1866	223	8	the	the	DET
ap-1866	223	9	available	available	ADJ
ap-1866	223	10	though	though	SCONJ
ap-1866	223	11	still	still	ADV
ap-1866	223	12	rather	rather	ADV
ap-1866	223	13	complicated	complicated	ADJ
ap-1866	223	14	algebraic	algebraic	ADJ
ap-1866	223	15	boundary	boundary	ADJ
ap-1866	223	16	-	-	PUNCT
ap-1866	223	17	localization	localization	NOUN
ap-1866	223	18	formulae	formulae	NOUN
ap-1866	223	19	of	of	ADP
ap-1866	223	20	ref	ref	NOUN
ap-1866	223	21	.	.	PUNCT
ap-1866	224	1	[	[	X
ap-1866	224	2	21	21	NUM
ap-1866	224	3	]	]	PUNCT
ap-1866	224	4	or	or	CCONJ
ap-1866	224	5	,	,	PUNCT
ap-1866	224	6	alternatively	alternatively	ADV
ap-1866	224	7	,	,	PUNCT
ap-1866	224	8	we	we	PRON
ap-1866	224	9	may	may	AUX
ap-1866	224	10	simplify	simplify	VERB
ap-1866	224	11	the	the	DET
ap-1866	224	12	discussion	discussion	NOUN
ap-1866	224	13	by	by	ADP
ap-1866	224	14	the	the	DET
ap-1866	224	15	brute	brute	ADJ
ap-1866	224	16	-	-	PUNCT
ap-1866	224	17	force	force	NOUN
ap-1866	224	18	numerical	numerical	ADJ
ap-1866	224	19	localization	localization	NOUN
ap-1866	224	20	of	of	ADP
ap-1866	224	21	a	a	DET
ap-1866	224	22	sufficiently	sufficiently	ADV
ap-1866	224	23	large	large	ADJ
ap-1866	224	24	metric	metric	ADJ
ap-1866	224	25	-	-	PUNCT
ap-1866	224	26	supporting	support	VERB
ap-1866	224	27	subdomain	subdomain	NOUN
ap-1866	224	28	in	in	ADP
ap-1866	224	29	the	the	DET
ap-1866	224	30	parametric	parametric	ADJ
ap-1866	224	31	space	space	NOUN
ap-1866	224	32	.	.	PUNCT
ap-1866	225	1	for	for	ADP
ap-1866	225	2	the	the	DET
ap-1866	225	3	special	special	ADJ
ap-1866	225	4	choice	choice	NOUN
ap-1866	225	5	of	of	ADP
ap-1866	225	6	a	a	PRON
ap-1866	225	7	=	=	SYM
ap-1866	225	8	f	f	NOUN
ap-1866	225	9	=	=	PUNCT
ap-1866	225	10	m	m	NOUN
ap-1866	225	11	=	=	SYM
ap-1866	225	12	1	1	NUM
ap-1866	225	13	we	we	PRON
ap-1866	225	14	found	find	VERB
ap-1866	225	15	,	,	PUNCT
ap-1866	225	16	for	for	ADP
ap-1866	225	17	example	example	NOUN
ap-1866	225	18	,	,	PUNCT
ap-1866	225	19	that	that	SCONJ
ap-1866	225	20	for	for	ADP
ap-1866	225	21	the	the	DET
ap-1866	225	22	sufficiently	sufficiently	ADV
ap-1866	225	23	large	large	ADJ
ap-1866	225	24	range	range	NOUN
ap-1866	225	25	of	of	ADP
ap-1866	225	26	parameters	parameter	NOUN
ap-1866	225	27	z	z	PROPN
ap-1866	225	28	and	and	CCONJ
ap-1866	225	29	g	g	PROPN
ap-1866	225	30	as	as	SCONJ
ap-1866	225	31	chosen	choose	VERB
ap-1866	225	32	in	in	ADP
ap-1866	225	33	figs	fig	NOUN
ap-1866	225	34	.	.	PUNCT
ap-1866	226	1	4	4	NUM
ap-1866	226	2	and	and	CCONJ
ap-1866	226	3	5	5	NUM
ap-1866	226	4	we	we	PRON
ap-1866	226	5	reveal	reveal	VERB
ap-1866	226	6	that	that	SCONJ
ap-1866	226	7	while	while	SCONJ
ap-1866	226	8	the	the	DET
ap-1866	226	9	two	two	NUM
ap-1866	226	10	upper	upper	ADJ
ap-1866	226	11	eigenvalues	eigenvalue	NOUN
ap-1866	226	12	θ2	θ2	NOUN
ap-1866	226	13	and	and	CCONJ
ap-1866	226	14	θ1	θ1	NOUN
ap-1866	226	15	remain	remain	VERB
ap-1866	226	16	safely	safely	ADV
ap-1866	226	17	positive	positive	ADJ
ap-1866	226	18	,	,	PUNCT
ap-1866	226	19	the	the	DET
ap-1866	226	20	minimal	minimal	ADJ
ap-1866	226	21	eigenvalue	eigenvalue	ADJ
ap-1866	226	22	θ0	θ0	NOUN
ap-1866	226	23	only	only	ADV
ap-1866	226	24	remains	remain	VERB
ap-1866	226	25	positive	positive	ADJ
ap-1866	226	26	inside	inside	ADP
ap-1866	226	27	the	the	DET
ap-1866	226	28	minimal	minimal	ADJ
ap-1866	226	29	domain	domain	NOUN
ap-1866	226	30	of	of	ADP
ap-1866	226	31	positivity	positivity	NOUN
ap-1866	226	32	as	as	SCONJ
ap-1866	226	33	displayed	display	VERB
ap-1866	226	34	in	in	ADP
ap-1866	226	35	fig	fig	NOUN
ap-1866	226	36	.	.	PUNCT
ap-1866	227	1	5	5	NUM
ap-1866	227	2	.	.	X
ap-1866	227	3	thus	thus	ADV
ap-1866	227	4	,	,	PUNCT
ap-1866	227	5	the	the	DET
ap-1866	227	6	boundary	boundary	NOUN
ap-1866	227	7	of	of	ADP
ap-1866	227	8	the	the	DET
ap-1866	227	9	latter	latter	ADJ
ap-1866	227	10	domain	domain	NOUN
ap-1866	227	11	represents	represent	VERB
ap-1866	227	12	an	an	DET
ap-1866	227	13	explicit	explicit	ADJ
ap-1866	227	14	concrete	concrete	ADJ
ap-1866	227	15	realization	realization	NOUN
ap-1866	227	16	of	of	ADP
ap-1866	227	17	its	its	PRON
ap-1866	227	18	abstract	abstract	ADJ
ap-1866	227	19	upper	upper	ADJ
ap-1866	227	20	-	-	PUNCT
ap-1866	227	21	circle	circle	NOUN
ap-1866	227	22	representative	representative	NOUN
ap-1866	227	23	in	in	ADP
ap-1866	227	24	fig	fig	NOUN
ap-1866	227	25	.	.	PUNCT
ap-1866	228	1	1	1	NUM
ap-1866	228	2	.	.	X
ap-1866	228	3	7	7	NUM
ap-1866	228	4	.	.	X
ap-1866	228	5	up	up	ADP
ap-1866	228	6	-	-	PUNCT
ap-1866	228	7	down	down	ADP
ap-1866	228	8	symmetrized	symmetrize	VERB
ap-1866	228	9	couplings	coupling	NOUN
ap-1866	228	10	to	to	ADP
ap-1866	228	11	the	the	DET
ap-1866	228	12	environment	environment	NOUN
ap-1866	228	13	7.1	7.1	NUM
ap-1866	228	14	.	.	PUNCT
ap-1866	229	1	toy	toy	NOUN
ap-1866	229	2	model	model	NOUN
ap-1866	229	3	with	with	ADP
ap-1866	229	4	n	n	NOUN
ap-1866	229	5	=	=	SYM
ap-1866	229	6	9	9	NUM
ap-1866	229	7	the	the	DET
ap-1866	229	8	pt	pt	X
ap-1866	229	9	−symmetric	−symmetric	ADJ
ap-1866	229	10	and	and	CCONJ
ap-1866	229	11	tridiagonal	tridiagonal	ADJ
ap-1866	229	12	nine	nine	NUM
ap-1866	229	13	-	-	PUNCT
ap-1866	229	14	by	by	ADP
ap-1866	229	15	-	-	PUNCT
ap-1866	229	16	ninematrix	ninematrix	NOUN
ap-1866	229	17	hamiltonian	hamiltonian	ADJ
ap-1866	229	18	h(9	h(9	PROPN
ap-1866	229	19	)	)	PUNCT
ap-1866	229	20	of	of	ADP
ap-1866	229	21	ref	ref	NOUN
ap-1866	229	22	.	.	PUNCT
ap-1866	230	1	[	[	X
ap-1866	230	2	13	13	NUM
ap-1866	230	3	]	]	SYM
ap-1866	230	4	reads	reads	NOUN
ap-1866	230	5	−8	−8	PROPN
ap-1866	230	6	b	b	PROPN
ap-1866	230	7	0	0	NUM
ap-1866	230	8	0	0	NUM
ap-1866	230	9	0	0	NUM
ap-1866	230	10	0	0	NUM
ap-1866	230	11	0	0	NUM
ap-1866	230	12	0	0	NUM
ap-1866	230	13	0	0	NUM
ap-1866	231	1	−b	−b	ADJ
ap-1866	231	2	−6	−6	NOUN
ap-1866	231	3	c	c	NOUN
ap-1866	231	4	0	0	NUM
ap-1866	231	5	0	0	NUM
ap-1866	231	6	0	0	NUM
ap-1866	231	7	0	0	NUM
ap-1866	231	8	0	0	NUM
ap-1866	231	9	0	0	NUM
ap-1866	231	10	0	0	NUM
ap-1866	232	1	−c	−c	NOUN
ap-1866	232	2	−4	−4	PROPN
ap-1866	233	1	d	d	X
ap-1866	233	2	0	0	NUM
ap-1866	233	3	0	0	NUM
ap-1866	233	4	0	0	NUM
ap-1866	233	5	0	0	NUM
ap-1866	233	6	0	0	NUM
ap-1866	233	7	0	0	NUM
ap-1866	233	8	0	0	NUM
ap-1866	233	9	−d	−d	ADJ
ap-1866	233	10	−2	−2	PROPN
ap-1866	233	11	α	α	NOUN
ap-1866	233	12	0	0	NUM
ap-1866	233	13	0	0	NUM
ap-1866	233	14	0	0	NUM
ap-1866	233	15	0	0	NUM
ap-1866	233	16	0	0	NUM
ap-1866	233	17	0	0	NUM
ap-1866	233	18	0	0	NUM
ap-1866	234	1	−α	−α	NOUN
ap-1866	234	2	0	0	PUNCT
ap-1866	235	1	α	α	NOUN
ap-1866	235	2	0	0	NUM
ap-1866	235	3	0	0	NUM
ap-1866	235	4	0	0	NUM
ap-1866	235	5	0	0	NUM
ap-1866	235	6	0	0	NUM
ap-1866	235	7	0	0	NUM
ap-1866	235	8	0	0	NUM
ap-1866	235	9	−α	−α	NOUN
ap-1866	235	10	2	2	NUM
ap-1866	235	11	d	d	NOUN
ap-1866	235	12	0	0	NUM
ap-1866	235	13	0	0	NUM
ap-1866	235	14	0	0	NUM
ap-1866	235	15	0	0	NUM
ap-1866	235	16	0	0	NUM
ap-1866	235	17	0	0	NUM
ap-1866	235	18	0	0	NUM
ap-1866	235	19	−d	−d	ADJ
ap-1866	235	20	4	4	NUM
ap-1866	235	21	c	c	NOUN
ap-1866	235	22	0	0	NUM
ap-1866	235	23	0	0	NUM
ap-1866	235	24	0	0	NUM
ap-1866	235	25	0	0	NUM
ap-1866	235	26	0	0	NUM
ap-1866	235	27	0	0	NUM
ap-1866	235	28	0	0	NUM
ap-1866	236	1	−c	−c	NOUN
ap-1866	236	2	6	6	NUM
ap-1866	236	3	b	b	NOUN
ap-1866	236	4	0	0	NUM
ap-1866	236	5	0	0	NUM
ap-1866	236	6	0	0	NUM
ap-1866	236	7	0	0	NUM
ap-1866	236	8	0	0	NUM
ap-1866	236	9	0	0	NUM
ap-1866	236	10	0	0	NUM
ap-1866	236	11	−b	−b	ADP
ap-1866	236	12	8	8	NUM
ap-1866	236	13			NUM
ap-1866	236	14	.	.	PUNCT
ap-1866	237	1	in	in	ADP
ap-1866	237	2	the	the	DET
ap-1866	237	3	limit	limit	NOUN
ap-1866	237	4	α	α	X
ap-1866	237	5	→	→	SYM
ap-1866	237	6	0	0	NUM
ap-1866	237	7	it	it	PRON
ap-1866	237	8	splits	split	VERB
ap-1866	237	9	into	into	ADP
ap-1866	237	10	a	a	DET
ap-1866	237	11	central	central	ADJ
ap-1866	237	12	onedimensional	onedimensional	ADJ
ap-1866	237	13	submatrix	submatrix	NOUN
ap-1866	237	14	with	with	ADP
ap-1866	237	15	eigenvalue	eigenvalue	PROPN
ap-1866	237	16	0	0	PUNCT
ap-1866	237	17	and	and	CCONJ
ap-1866	237	18	a	a	DET
ap-1866	237	19	pair	pair	NOUN
ap-1866	237	20	of	of	ADP
ap-1866	237	21	non	non	ADJ
ap-1866	237	22	-	-	ADJ
ap-1866	237	23	trivial	trivial	ADJ
ap-1866	237	24	four	four	NUM
ap-1866	237	25	-	-	PUNCT
ap-1866	237	26	by	by	ADP
ap-1866	237	27	-	-	PUNCT
ap-1866	237	28	four	four	NUM
ap-1866	237	29	sub	sub	ADJ
ap-1866	237	30	-	-	ADJ
ap-1866	237	31	hamiltonians	hamiltonians	ADJ
ap-1866	237	32	h(4	h(4	NOUN
ap-1866	237	33	)	)	PUNCT
ap-1866	237	34	.	.	PUNCT
ap-1866	238	1	the	the	DET
ap-1866	238	2	spectrum	spectrum	NOUN
ap-1866	238	3	remains	remain	VERB
ap-1866	238	4	real	real	ADJ
ap-1866	238	5	,	,	PUNCT
ap-1866	238	6	say	say	INTJ
ap-1866	238	7	,	,	PUNCT
ap-1866	238	8	for	for	ADP
ap-1866	238	9	the	the	DET
ap-1866	238	10	family	family	NOUN
ap-1866	238	11	of	of	ADP
ap-1866	238	12	parameters	parameter	NOUN
ap-1866	238	13	b	b	X
ap-1866	239	1	=	=	PUNCT
ap-1866	239	2	√	√	PROPN
ap-1866	239	3	3	3	NUM
ap-1866	239	4	+	+	CCONJ
ap-1866	239	5	3	3	NUM
ap-1866	239	6	t	t	NOUN
ap-1866	239	7	,	,	PUNCT
ap-1866	239	8	c	c	NOUN
ap-1866	239	9	=	=	SYM
ap-1866	239	10	2	2	NUM
ap-1866	239	11	√	√	NUM
ap-1866	239	12	1	1	NUM
ap-1866	239	13	+	+	NUM
ap-1866	239	14	t	t	PROPN
ap-1866	239	15	and	and	CCONJ
ap-1866	239	16	d	d	PROPN
ap-1866	239	17	=	=	PUNCT
ap-1866	240	1	√	√	PROPN
ap-1866	240	2	3	3	NUM
ap-1866	241	1	+	+	CCONJ
ap-1866	241	2	3	3	NUM
ap-1866	241	3	t.	t.	NOUN
ap-1866	241	4	they	they	PRON
ap-1866	241	5	span	span	VERB
ap-1866	241	6	an	an	DET
ap-1866	241	7	interval	interval	NOUN
ap-1866	241	8	in	in	ADP
ap-1866	241	9	the	the	DET
ap-1866	241	10	physical	physical	ADJ
ap-1866	241	11	domain	domain	NOUN
ap-1866	241	12	dh	dh	NOUN
ap-1866	241	13	whenever	whenever	SCONJ
ap-1866	241	14	t	t	PROPN
ap-1866	241	15	stays	stay	VERB
ap-1866	241	16	negative	negative	ADJ
ap-1866	241	17	,	,	PUNCT
ap-1866	241	18	t	t	PROPN
ap-1866	241	19	∈	∈	PROPN
ap-1866	241	20	(	(	PUNCT
ap-1866	241	21	−∞	−∞	NOUN
ap-1866	241	22	,	,	PUNCT
ap-1866	241	23	0	0	NUM
ap-1866	241	24	)	)	PUNCT
ap-1866	242	1	[	[	X
ap-1866	242	2	14	14	NUM
ap-1866	242	3	]	]	PUNCT
ap-1866	242	4	.	.	PUNCT
ap-1866	243	1	478	478	NUM
ap-1866	243	2	vol	vol	NOUN
ap-1866	243	3	.	.	PUNCT
ap-1866	244	1	53	53	NUM
ap-1866	244	2	no	no	NOUN
ap-1866	244	3	.	.	PUNCT
ap-1866	245	1	5/2013	5/2013	NUM
ap-1866	245	2	new	new	ADJ
ap-1866	245	3	concept	concept	NOUN
ap-1866	245	4	of	of	ADP
ap-1866	245	5	solvability	solvability	NOUN
ap-1866	245	6	in	in	ADP
ap-1866	245	7	quantum	quantum	ADJ
ap-1866	245	8	mechanics	mechanic	NOUN
ap-1866	245	9	20	20	NUM
ap-1866	245	10	25	25	NUM
ap-1866	245	11	30	30	NUM
ap-1866	245	12	0–0.02–0.04–0.06–0.08	0–0.02–0.04–0.06–0.08	NUM
ap-1866	245	13	t	t	PROPN
ap-1866	245	14	z	z	NOUN
ap-1866	245	15	figure	figure	NOUN
ap-1866	245	16	6	6	NUM
ap-1866	245	17	.	.	PUNCT
ap-1866	246	1	the	the	DET
ap-1866	246	2	t−dependence	t−dependence	NUM
ap-1866	246	3	of	of	ADP
ap-1866	246	4	the	the	DET
ap-1866	246	5	real	real	ADJ
ap-1866	246	6	roots	root	NOUN
ap-1866	246	7	zj	zj	PROPN
ap-1866	246	8	of	of	ADP
ap-1866	246	9	secular	secular	ADJ
ap-1866	246	10	equation	equation	NOUN
ap-1866	246	11	(	(	PUNCT
ap-1866	246	12	18	18	NUM
ap-1866	246	13	)	)	PUNCT
ap-1866	246	14	.	.	PUNCT
ap-1866	247	1	the	the	DET
ap-1866	247	2	collapse	collapse	NOUN
ap-1866	247	3	at	at	ADP
ap-1866	247	4	t	t	PROPN
ap-1866	247	5	=	=	SYM
ap-1866	247	6	0	0	NUM
ap-1866	247	7	is	be	AUX
ap-1866	247	8	not	not	PART
ap-1866	247	9	destroyed	destroy	VERB
ap-1866	247	10	due	due	ADP
ap-1866	247	11	to	to	ADP
ap-1866	247	12	the	the	DET
ap-1866	247	13	weakness	weakness	NOUN
ap-1866	247	14	of	of	ADP
ap-1866	247	15	the	the	DET
ap-1866	247	16	coupling	coupling	NOUN
ap-1866	247	17	to	to	ADP
ap-1866	247	18	the	the	DET
ap-1866	247	19	environment	environment	NOUN
ap-1866	247	20	(	(	PUNCT
ap-1866	247	21	β	β	X
ap-1866	247	22	=	=	SYM
ap-1866	247	23	1	1	NUM
ap-1866	247	24	)	)	PUNCT
ap-1866	247	25	.	.	PUNCT
ap-1866	248	1	at	at	ADP
ap-1866	248	2	α	α	NOUN
ap-1866	248	3	=	=	SYM
ap-1866	248	4	0	0	NUM
ap-1866	248	5	the	the	DET
ap-1866	248	6	special	special	ADJ
ap-1866	248	7	and	and	CCONJ
ap-1866	248	8	easily	easily	ADV
ap-1866	248	9	seen	see	VERB
ap-1866	248	10	feature	feature	NOUN
ap-1866	248	11	of	of	ADP
ap-1866	248	12	the	the	DET
ap-1866	248	13	latter	latter	ADJ
ap-1866	248	14	operator	operator	NOUN
ap-1866	248	15	(	(	PUNCT
ap-1866	248	16	i.e.	i.e.	X
ap-1866	248	17	,	,	PUNCT
ap-1866	248	18	matrix	matrix	NOUN
ap-1866	248	19	)	)	PUNCT
ap-1866	248	20	is	be	AUX
ap-1866	248	21	that	that	SCONJ
ap-1866	248	22	at	at	ADP
ap-1866	248	23	t	t	NOUN
ap-1866	248	24	=	=	SYM
ap-1866	248	25	0	0	PUNCT
ap-1866	248	26	(	(	PUNCT
ap-1866	248	27	i.e.	i.e.	X
ap-1866	248	28	,	,	PUNCT
ap-1866	248	29	at	at	ADP
ap-1866	248	30	the	the	DET
ap-1866	248	31	boundary	boundary	NOUN
ap-1866	248	32	of	of	ADP
ap-1866	248	33	its	its	PRON
ap-1866	248	34	physical	physical	ADJ
ap-1866	248	35	domain	domain	NOUN
ap-1866	248	36	dh	dh	NOUN
ap-1866	248	37	)	)	PUNCT
ap-1866	248	38	it	it	PRON
ap-1866	248	39	ceases	cease	VERB
ap-1866	248	40	to	to	PART
ap-1866	248	41	represent	represent	VERB
ap-1866	248	42	an	an	DET
ap-1866	248	43	observable	observable	ADJ
ap-1866	248	44	because	because	SCONJ
ap-1866	248	45	its	its	PRON
ap-1866	248	46	eigenvalues	eigenvalue	NOUN
ap-1866	248	47	degenerate	degenerate	ADJ
ap-1866	248	48	.	.	PUNCT
ap-1866	249	1	indeed	indeed	ADV
ap-1866	249	2	,	,	PUNCT
ap-1866	249	3	the	the	DET
ap-1866	249	4	vanishing	vanish	VERB
ap-1866	249	5	level	level	NOUN
ap-1866	249	6	e4	e4	PROPN
ap-1866	249	7	=	=	SYM
ap-1866	249	8	0	0	NUM
ap-1866	249	9	separates	separate	VERB
ap-1866	249	10	from	from	ADP
ap-1866	249	11	the	the	DET
ap-1866	249	12	two	two	NUM
ap-1866	249	13	degenerate	degenerate	ADJ
ap-1866	249	14	quadruplets	quadruplet	NOUN
ap-1866	249	15	of	of	ADP
ap-1866	249	16	e4+j	e4+j	X
ap-1866	249	17	=	=	SYM
ap-1866	249	18	−e4−j	−e4−j	PROPN
ap-1866	249	19	=	=	NOUN
ap-1866	249	20	5	5	NUM
ap-1866	249	21	with	with	ADP
ap-1866	249	22	j	j	PROPN
ap-1866	249	23	=	=	SYM
ap-1866	249	24	1	1	NUM
ap-1866	249	25	,	,	PUNCT
ap-1866	249	26	2	2	NUM
ap-1866	249	27	,	,	PUNCT
ap-1866	249	28	3	3	NUM
ap-1866	249	29	,	,	PUNCT
ap-1866	249	30	4	4	NUM
ap-1866	249	31	.	.	PUNCT
ap-1866	249	32	subsequently	subsequently	ADV
ap-1866	249	33	,	,	PUNCT
ap-1866	249	34	at	at	ADP
ap-1866	249	35	t	t	PROPN
ap-1866	249	36	>	>	X
ap-1866	249	37	0	0	PROPN
ap-1866	249	38	,	,	PUNCT
ap-1866	249	39	these	these	PRON
ap-1866	249	40	eigenvalues	eigenvalue	VERB
ap-1866	249	41	get	get	VERB
ap-1866	249	42	,	,	PUNCT
ap-1866	249	43	up	up	ADP
ap-1866	249	44	to	to	ADP
ap-1866	249	45	the	the	DET
ap-1866	249	46	constantly	constantly	ADV
ap-1866	249	47	real	real	ADJ
ap-1866	249	48	level	level	NOUN
ap-1866	249	49	e4	e4	NOUN
ap-1866	249	50	=	=	SYM
ap-1866	249	51	0	0	NUM
ap-1866	249	52	,	,	PUNCT
ap-1866	249	53	complex	complex	ADJ
ap-1866	249	54	.	.	PUNCT
ap-1866	250	1	this	this	PRON
ap-1866	250	2	makes	make	VERB
ap-1866	250	3	the	the	DET
ap-1866	250	4	model	model	NOUN
ap-1866	250	5	suitable	suitable	ADJ
ap-1866	250	6	for	for	ADP
ap-1866	250	7	quantitative	quantitative	ADJ
ap-1866	250	8	studies	study	NOUN
ap-1866	250	9	of	of	ADP
ap-1866	250	10	the	the	DET
ap-1866	250	11	properties	property	NOUN
ap-1866	250	12	of	of	ADP
ap-1866	250	13	the	the	DET
ap-1866	250	14	boundary	boundary	ADJ
ap-1866	250	15	∂dh	∂dh	PROPN
ap-1866	250	16	[	[	X
ap-1866	250	17	15	15	NUM
ap-1866	250	18	]	]	SYM
ap-1866	250	19	.	.	PUNCT
ap-1866	251	1	7.2	7.2	NUM
ap-1866	251	2	.	.	PUNCT
ap-1866	252	1	boundary	boundary	PROPN
ap-1866	252	2	∂dh	∂dh	PROPN
ap-1866	252	3	the	the	DET
ap-1866	252	4	t−independent	t−independent	NOUN
ap-1866	252	5	level	level	NOUN
ap-1866	252	6	e4	e4	NOUN
ap-1866	252	7	=	=	SYM
ap-1866	252	8	0	0	NUM
ap-1866	252	9	is	be	AUX
ap-1866	252	10	a	a	DET
ap-1866	252	11	schematic	schematic	ADJ
ap-1866	252	12	substitute	substitute	NOUN
ap-1866	252	13	for	for	ADP
ap-1866	252	14	a	a	DET
ap-1866	252	15	generic	generic	ADJ
ap-1866	252	16	environment	environment	NOUN
ap-1866	252	17	.	.	PUNCT
ap-1866	253	1	each	each	PRON
ap-1866	253	2	of	of	ADP
ap-1866	253	3	the	the	DET
ap-1866	253	4	two	two	NUM
ap-1866	253	5	remaining	remain	VERB
ap-1866	253	6	subsystems	subsystem	NOUN
ap-1866	253	7	remains	remain	VERB
ap-1866	253	8	coupled	couple	VERB
ap-1866	253	9	to	to	ADP
ap-1866	253	10	this	this	DET
ap-1866	253	11	environment	environment	NOUN
ap-1866	253	12	by	by	ADP
ap-1866	253	13	the	the	DET
ap-1866	253	14	coupling	coupling	NOUN
ap-1866	253	15	or	or	CCONJ
ap-1866	253	16	matrix	matrix	NOUN
ap-1866	253	17	element	element	NOUN
ap-1866	253	18	α	α	NOUN
ap-1866	253	19	.	.	PUNCT
ap-1866	254	1	we	we	PRON
ap-1866	254	2	shall	shall	AUX
ap-1866	254	3	choose	choose	VERB
ap-1866	254	4	its	its	PRON
ap-1866	254	5	value	value	NOUN
ap-1866	254	6	as	as	ADP
ap-1866	254	7	proportional	proportional	ADJ
ap-1866	254	8	to	to	ADP
ap-1866	254	9	t	t	PROPN
ap-1866	254	10	via	via	ADP
ap-1866	254	11	a	a	DET
ap-1866	254	12	not	not	PART
ap-1866	254	13	too	too	ADV
ap-1866	254	14	large	large	ADJ
ap-1866	254	15	real	real	ADJ
ap-1866	254	16	coupling	coupling	NOUN
ap-1866	254	17	constant	constant	ADJ
ap-1866	254	18	β	β	X
ap-1866	254	19	,	,	PUNCT
ap-1866	254	20	α	α	NOUN
ap-1866	254	21	=	=	SYM
ap-1866	254	22	βt	βt	PROPN
ap-1866	254	23	.	.	PUNCT
ap-1866	255	1	at	at	ADP
ap-1866	255	2	the	the	DET
ap-1866	255	3	particular	particular	ADJ
ap-1866	255	4	choice	choice	NOUN
ap-1866	255	5	of	of	ADP
ap-1866	255	6	β	β	X
ap-1866	255	7	=	=	SYM
ap-1866	255	8	1	1	NUM
ap-1866	255	9	the	the	DET
ap-1866	255	10	description	description	NOUN
ap-1866	255	11	of	of	ADP
ap-1866	255	12	the	the	DET
ap-1866	255	13	boundary	boundary	ADJ
ap-1866	255	14	∂dh	∂dh	PROPN
ap-1866	255	15	remains	remain	VERB
ap-1866	255	16	feasible	feasible	ADJ
ap-1866	255	17	by	by	ADP
ap-1866	255	18	nonnumerical	nonnumerical	ADJ
ap-1866	255	19	means	mean	NOUN
ap-1866	255	20	yielding	yield	VERB
ap-1866	255	21	the	the	DET
ap-1866	255	22	transparent	transparent	ADJ
ap-1866	255	23	and	and	CCONJ
ap-1866	255	24	algebraically	algebraically	ADV
ap-1866	255	25	tractable	tractable	ADJ
ap-1866	255	26	secular	secular	ADJ
ap-1866	255	27	equation	equation	NOUN
ap-1866	255	28	0	0	NUM
ap-1866	255	29	=	=	SYM
ap-1866	255	30	z4	z4	PROPN
ap-1866	255	31	+	+	CCONJ
ap-1866	255	32	(	(	PUNCT
ap-1866	255	33	−100−	−100−	NUM
ap-1866	255	34	20t+	20t+	NUM
ap-1866	255	35	2t2)z3	2t2)z3	NUM
ap-1866	255	36	+	+	CCONJ
ap-1866	255	37	(	(	PUNCT
ap-1866	255	38	3750	3750	NUM
ap-1866	255	39	+	+	SYM
ap-1866	255	40	500t−	500t−	NUM
ap-1866	255	41	80t2	80t2	NUM
ap-1866	255	42	−	−	PROPN
ap-1866	255	43	34t3)z2	34t3)z2	NUM
ap-1866	255	44	+	+	CCONJ
ap-1866	255	45	(	(	PUNCT
ap-1866	255	46	−62500	−62500	NOUN
ap-1866	255	47	+	+	CCONJ
ap-1866	255	48	12500t+	12500t+	NUM
ap-1866	255	49	4810t2	4810t2	NOUN
ap-1866	256	1	+	+	CCONJ
ap-1866	256	2	360t3	360t3	NUM
ap-1866	256	3	+	+	CCONJ
ap-1866	256	4	158t4)z	158t4)z	NUM
ap-1866	257	1	+	+	SYM
ap-1866	257	2	390625−	390625−	NUM
ap-1866	257	3	312500t−	312500t−	NUM
ap-1866	257	4	23500t2	23500t2	PROPN
ap-1866	258	1	+	+	CCONJ
ap-1866	259	1	22450t3	22450t3	NUM
ap-1866	259	2	−	−	NOUN
ap-1866	259	3	3221t4	3221t4	NOUN
ap-1866	259	4	−	−	PROPN
ap-1866	259	5	126t5	126t5	NUM
ap-1866	259	6	,	,	PUNCT
ap-1866	259	7	(	(	PUNCT
ap-1866	259	8	18	18	NUM
ap-1866	259	9	)	)	PUNCT
ap-1866	259	10	which	which	PRON
ap-1866	259	11	may	may	AUX
ap-1866	259	12	very	very	ADV
ap-1866	259	13	easily	easily	ADV
ap-1866	259	14	be	be	AUX
ap-1866	259	15	treated	treat	VERB
ap-1866	259	16	numerically	numerically	ADV
ap-1866	259	17	.	.	PUNCT
ap-1866	260	1	obviously	obviously	ADV
ap-1866	260	2	,	,	PUNCT
ap-1866	260	3	the	the	DET
ap-1866	260	4	level	level	NOUN
ap-1866	260	5	e4	e4	PROPN
ap-1866	260	6	=	=	SYM
ap-1866	260	7	0	0	NUM
ap-1866	260	8	separates	separate	VERB
ap-1866	260	9	while	while	SCONJ
ap-1866	260	10	the	the	DET
ap-1866	260	11	other	other	ADJ
ap-1866	260	12	two	two	NUM
ap-1866	260	13	quadruplets	quadruplet	NOUN
ap-1866	260	14	acquire	acquire	VERB
ap-1866	260	15	the	the	DET
ap-1866	260	16	square	square	ADJ
ap-1866	260	17	-	-	PUNCT
ap-1866	260	18	root	root	NOUN
ap-1866	260	19	form	form	NOUN
ap-1866	260	20	e4+j	e4+j	X
ap-1866	260	21	=	=	SYM
ap-1866	260	22	−e4−j	−e4−j	PROPN
ap-1866	260	23	=	=	SYM
ap-1866	260	24	√zj	√zj	PROPN
ap-1866	260	25	for	for	ADP
ap-1866	260	26	j	j	PROPN
ap-1866	260	27	=	=	SYM
ap-1866	260	28	1	1	NUM
ap-1866	260	29	,	,	PUNCT
ap-1866	260	30	2	2	NUM
ap-1866	260	31	,	,	PUNCT
ap-1866	260	32	3	3	NUM
ap-1866	260	33	,	,	PUNCT
ap-1866	260	34	4	4	NUM
ap-1866	260	35	.	.	PUNCT
ap-1866	261	1	hence	hence	ADV
ap-1866	261	2	,	,	PUNCT
ap-1866	261	3	one	one	PRON
ap-1866	261	4	may	may	AUX
ap-1866	261	5	proceed	proceed	VERB
ap-1866	261	6	and	and	CCONJ
ap-1866	261	7	study	study	VERB
ap-1866	261	8	the	the	DET
ap-1866	261	9	spectrum	spectrum	NOUN
ap-1866	261	10	of	of	ADP
ap-1866	261	11	z	z	PROPN
ap-1866	261	12	=	=	SYM
ap-1866	261	13	e2	e2	PROPN
ap-1866	261	14	in	in	ADP
ap-1866	261	15	full	full	ADJ
ap-1866	261	16	parallel	parallel	NOUN
ap-1866	261	17	with	with	ADP
ap-1866	261	18	our	our	PRON
ap-1866	261	19	above	above	ADJ
ap-1866	261	20	n	n	NOUN
ap-1866	261	21	=	=	SYM
ap-1866	261	22	3	3	NUM
ap-1866	261	23	model	model	NOUN
ap-1866	261	24	.	.	PUNCT
ap-1866	262	1	the	the	DET
ap-1866	262	2	β	β	NOUN
ap-1866	262	3	=	=	SYM
ap-1866	262	4	1	1	NUM
ap-1866	262	5	results	result	NOUN
ap-1866	262	6	are	be	AUX
ap-1866	262	7	sampled	sample	VERB
ap-1866	262	8	in	in	ADP
ap-1866	262	9	fig	fig	NOUN
ap-1866	262	10	.	.	PUNCT
ap-1866	263	1	6	6	NUM
ap-1866	263	2	.	.	X
ap-1866	264	1	inside	inside	ADP
ap-1866	264	2	the	the	DET
ap-1866	264	3	physical	physical	ADJ
ap-1866	264	4	domain	domain	NOUN
ap-1866	264	5	of	of	ADP
ap-1866	264	6	t	t	PROPN
ap-1866	264	7	<	<	X
ap-1866	264	8	0	0	NUM
ap-1866	264	9	,	,	PUNCT
ap-1866	264	10	qualitatively	qualitatively	ADV
ap-1866	264	11	the	the	DET
ap-1866	264	12	same	same	ADJ
ap-1866	264	13	pattern	pattern	NOUN
ap-1866	264	14	is	be	AUX
ap-1866	264	15	still	still	ADV
ap-1866	264	16	obtained	obtain	VERB
ap-1866	264	17	even	even	ADV
ap-1866	264	18	at	at	ADP
ap-1866	264	19	the	the	DET
ap-1866	264	20	perceivably	perceivably	ADV
ap-1866	264	21	larger	large	ADJ
ap-1866	264	22	β	β	X
ap-1866	264	23	=	=	SYM
ap-1866	264	24	2.73	2.73	NUM
ap-1866	265	1	(	(	PUNCT
ap-1866	265	2	cf	cf	NOUN
ap-1866	265	3	.	.	PUNCT
ap-1866	265	4	fig	fig	NOUN
ap-1866	265	5	.	.	PUNCT
ap-1866	266	1	7	7	NUM
ap-1866	266	2	)	)	PUNCT
ap-1866	266	3	.	.	PUNCT
ap-1866	267	1	once	once	SCONJ
ap-1866	267	2	we	we	PRON
ap-1866	267	3	are	be	AUX
ap-1866	267	4	now	now	ADV
ap-1866	267	5	getting	get	VERB
ap-1866	267	6	very	very	ADV
ap-1866	267	7	close	close	ADJ
ap-1866	267	8	to	to	ADP
ap-1866	267	9	the	the	DET
ap-1866	267	10	critical	critical	ADJ
ap-1866	267	11	value	value	NOUN
ap-1866	267	12	of	of	ADP
ap-1866	267	13	β	β	PROPN
ap-1866	267	14	≈	≈	PROPN
ap-1866	267	15	2.738	2.738	NUM
ap-1866	267	16	,	,	PUNCT
ap-1866	267	17	the	the	DET
ap-1866	267	18	situation	situation	NOUN
ap-1866	267	19	becomes	become	VERB
ap-1866	267	20	unstable	unstable	ADJ
ap-1866	267	21	.	.	PUNCT
ap-1866	268	1	in	in	ADP
ap-1866	268	2	the	the	DET
ap-1866	268	3	unphysical	unphysical	ADJ
ap-1866	268	4	domain	domain	NOUN
ap-1866	268	5	of	of	ADP
ap-1866	268	6	t	t	PROPN
ap-1866	268	7	>	>	X
ap-1866	268	8	0	0	PROPN
ap-1866	268	9	,	,	PUNCT
ap-1866	268	10	24.5	24.5	NUM
ap-1866	268	11	25.0	25.0	NUM
ap-1866	268	12	25.5	25.5	NUM
ap-1866	268	13	0.010–0.01–0.02	0.010–0.01–0.02	NUM
ap-1866	268	14	t	t	NOUN
ap-1866	268	15	z	z	NOUN
ap-1866	268	16	figure	figure	NOUN
ap-1866	268	17	7	7	NUM
ap-1866	268	18	.	.	PUNCT
ap-1866	269	1	the	the	DET
ap-1866	269	2	t−dependence	t−dependence	NUM
ap-1866	269	3	of	of	ADP
ap-1866	269	4	the	the	DET
ap-1866	269	5	real	real	ADJ
ap-1866	269	6	roots	root	NOUN
ap-1866	269	7	zj	zj	PROPN
ap-1866	269	8	of	of	ADP
ap-1866	269	9	secular	secular	ADJ
ap-1866	269	10	equation	equation	NOUN
ap-1866	269	11	(	(	PUNCT
ap-1866	269	12	18	18	NUM
ap-1866	269	13	)	)	PUNCT
ap-1866	269	14	near	near	ADP
ap-1866	269	15	t	t	PROPN
ap-1866	269	16	=	=	SYM
ap-1866	269	17	0	0	PROPN
ap-1866	269	18	at	at	ADP
ap-1866	269	19	β	β	X
ap-1866	269	20	=	=	NOUN
ap-1866	269	21	2.73	2.73	NUM
ap-1866	269	22	.	.	PUNCT
ap-1866	270	1	the	the	DET
ap-1866	270	2	collapse	collapse	NOUN
ap-1866	270	3	survives	survive	VERB
ap-1866	270	4	,	,	PUNCT
ap-1866	270	5	a	a	DET
ap-1866	270	6	partial	partial	ADJ
ap-1866	270	7	recovery	recovery	NOUN
ap-1866	270	8	emerges	emerge	VERB
ap-1866	270	9	at	at	ADP
ap-1866	270	10	negative	negative	ADJ
ap-1866	270	11	t.	t.	NOUN
ap-1866	270	12	24.5	24.5	NUM
ap-1866	270	13	25.0	25.0	NUM
ap-1866	270	14	25.5	25.5	NUM
ap-1866	270	15	0.010–0.01–0.02	0.010–0.01–0.02	NUM
ap-1866	271	1	t	t	NOUN
ap-1866	271	2	z	z	NOUN
ap-1866	271	3	figure	figure	NOUN
ap-1866	271	4	8	8	NUM
ap-1866	271	5	.	.	PUNCT
ap-1866	272	1	the	the	DET
ap-1866	272	2	change	change	NOUN
ap-1866	272	3	of	of	ADP
ap-1866	272	4	the	the	DET
ap-1866	272	5	t−dependence	t−dependence	NUM
ap-1866	272	6	of	of	ADP
ap-1866	272	7	the	the	DET
ap-1866	272	8	real	real	ADJ
ap-1866	272	9	roots	root	NOUN
ap-1866	272	10	zj	zj	PROPN
ap-1866	272	11	of	of	ADP
ap-1866	272	12	secular	secular	ADJ
ap-1866	272	13	equation	equation	NOUN
ap-1866	272	14	(	(	PUNCT
ap-1866	272	15	18	18	NUM
ap-1866	272	16	)	)	PUNCT
ap-1866	272	17	near	near	ADP
ap-1866	272	18	t	t	PROPN
ap-1866	272	19	=	=	SYM
ap-1866	272	20	0	0	PROPN
ap-1866	272	21	at	at	ADP
ap-1866	272	22	β	β	X
ap-1866	272	23	=	=	SYM
ap-1866	272	24	2.75	2.75	NUM
ap-1866	272	25	.	.	PUNCT
ap-1866	273	1	for	for	ADP
ap-1866	273	2	example	example	NOUN
ap-1866	273	3	,	,	PUNCT
ap-1866	273	4	we	we	PRON
ap-1866	273	5	can	can	AUX
ap-1866	273	6	spot	spot	VERB
ap-1866	273	7	an	an	DET
ap-1866	273	8	anomalous	anomalous	ADJ
ap-1866	273	9	partial	partial	ADJ
ap-1866	273	10	decomplexification	decomplexification	NOUN
ap-1866	273	11	of	of	ADP
ap-1866	273	12	the	the	DET
ap-1866	273	13	energies	energy	NOUN
ap-1866	273	14	at	at	ADP
ap-1866	273	15	certain	certain	ADJ
ap-1866	273	16	positive	positive	ADJ
ap-1866	273	17	values	value	NOUN
ap-1866	273	18	of	of	ADP
ap-1866	273	19	parameter	parameter	NOUN
ap-1866	273	20	t.	t.	PROPN
ap-1866	273	21	at	at	ADP
ap-1866	273	22	cca	cca	PROPN
ap-1866	273	23	β	β	PROPN
ap-1866	274	1	≈	≈	PROPN
ap-1866	274	2	2.738	2.738	NUM
ap-1866	274	3	the	the	DET
ap-1866	274	4	two	two	NUM
ap-1866	274	5	separate	separate	ADJ
ap-1866	274	6	ep	ep	PROPN
ap-1866	274	7	instants	instant	NOUN
ap-1866	274	8	of	of	ADP
ap-1866	274	9	the	the	DET
ap-1866	274	10	degeneracy	degeneracy	NOUN
ap-1866	274	11	and	and	CCONJ
ap-1866	274	12	complexification	complexification	NOUN
ap-1866	274	13	/	/	SYM
ap-1866	274	14	decomplexification	decomplexification	NOUN
ap-1866	274	15	of	of	ADP
ap-1866	274	16	the	the	DET
ap-1866	274	17	energies	energy	NOUN
ap-1866	274	18	fuse	fuse	VERB
ap-1866	274	19	themselves	themselves	PRON
ap-1866	274	20	.	.	PUNCT
ap-1866	275	1	subsequently	subsequently	ADV
ap-1866	275	2	,	,	PUNCT
ap-1866	275	3	a	a	DET
ap-1866	275	4	qualitatively	qualitatively	ADV
ap-1866	275	5	new	new	ADJ
ap-1866	275	6	pattern	pattern	NOUN
ap-1866	275	7	emerges	emerge	VERB
ap-1866	275	8	.	.	PUNCT
ap-1866	276	1	a	a	DET
ap-1866	276	2	graphical	graphical	ADJ
ap-1866	276	3	sample	sample	NOUN
ap-1866	276	4	of	of	ADP
ap-1866	276	5	it	it	PRON
ap-1866	276	6	is	be	AUX
ap-1866	276	7	given	give	VERB
ap-1866	276	8	in	in	ADP
ap-1866	276	9	fig	fig	NOUN
ap-1866	276	10	.	.	PUNCT
ap-1866	277	1	8	8	NUM
ap-1866	277	2	.	.	X
ap-1866	277	3	first	first	ADV
ap-1866	277	4	of	of	ADP
ap-1866	277	5	all	all	PRON
ap-1866	277	6	,	,	PUNCT
ap-1866	277	7	the	the	DET
ap-1866	277	8	original	original	ADJ
ap-1866	277	9	multiple	multiple	ADJ
ap-1866	277	10	ep	ep	NOUN
ap-1866	277	11	collapse	collapse	NOUN
ap-1866	277	12	gets	get	AUX
ap-1866	277	13	decoupled	decouple	VERB
ap-1866	277	14	.	.	PUNCT
ap-1866	278	1	this	this	PRON
ap-1866	278	2	implies	imply	VERB
ap-1866	278	3	that	that	SCONJ
ap-1866	278	4	at	at	ADP
ap-1866	278	5	β	β	X
ap-1866	278	6	=	=	SYM
ap-1866	278	7	2.75	2.75	NUM
ap-1866	278	8	as	as	SCONJ
ap-1866	278	9	used	use	VERB
ap-1866	278	10	in	in	ADP
ap-1866	278	11	the	the	DET
ap-1866	278	12	latter	latter	ADJ
ap-1866	278	13	picture	picture	NOUN
ap-1866	278	14	,	,	PUNCT
ap-1866	278	15	the	the	DET
ap-1866	278	16	inner	inner	ADJ
ap-1866	278	17	two	two	NUM
ap-1866	278	18	levels	level	NOUN
ap-1866	278	19	degenerate	degenerate	VERB
ap-1866	278	20	and	and	CCONJ
ap-1866	278	21	complexify	complexify	VERB
ap-1866	278	22	at	at	ADP
ap-1866	278	23	a	a	DET
ap-1866	278	24	certain	certain	ADJ
ap-1866	278	25	small	small	ADJ
ap-1866	278	26	but	but	CCONJ
ap-1866	278	27	safely	safely	ADV
ap-1866	278	28	negative	negative	ADJ
ap-1866	278	29	t	t	NOUN
ap-1866	278	30	=	=	SYM
ap-1866	278	31	tcrit	tcrit	PROPN
ap-1866	278	32	≈	≈	PROPN
ap-1866	278	33	−0.004	−0.004	PROPN
ap-1866	278	34	.	.	PUNCT
ap-1866	279	1	due	due	ADP
ap-1866	279	2	to	to	ADP
ap-1866	279	3	the	the	DET
ap-1866	279	4	solvability	solvability	NOUN
ap-1866	279	5	of	of	ADP
ap-1866	279	6	the	the	DET
ap-1866	279	7	model	model	NOUN
ap-1866	279	8	we	we	PRON
ap-1866	279	9	may	may	AUX
ap-1866	279	10	conclude	conclude	VERB
ap-1866	279	11	that	that	SCONJ
ap-1866	279	12	the	the	DET
ap-1866	279	13	boundary	boundary	NOUN
ap-1866	279	14	-	-	PUNCT
ap-1866	279	15	curve	curve	NOUN
ap-1866	279	16	∂dh	∂dh	PROPN
ap-1866	279	17	starts	start	NOUN
ap-1866	279	18	moving	move	VERB
ap-1866	279	19	with	with	ADP
ap-1866	279	20	parameter	parameter	NOUN
ap-1866	279	21	β	β	PROPN
ap-1866	279	22	.	.	PROPN
ap-1866	279	23	8	8	NUM
ap-1866	279	24	.	.	PUNCT
ap-1866	279	25	non	non	ADJ
ap-1866	279	26	-	-	ADJ
ap-1866	279	27	hermitian	hermitian	ADJ
ap-1866	279	28	quantum	quantum	NOUN
ap-1866	279	29	graphs	graph	NOUN
ap-1866	279	30	8.1	8.1	NUM
ap-1866	279	31	.	.	PUNCT
ap-1866	279	32	models	model	NOUN
ap-1866	279	33	with	with	ADP
ap-1866	279	34	point	point	NOUN
ap-1866	279	35	interactions	interaction	NOUN
ap-1866	279	36	another	another	DET
ap-1866	279	37	interesting	interesting	ADJ
ap-1866	279	38	pt	pt	NOUN
ap-1866	279	39	-symmetric	-symmetric	ADJ
ap-1866	279	40	single	single	ADJ
ap-1866	279	41	-	-	PUNCT
ap-1866	279	42	particle	particle	NOUN
ap-1866	279	43	differential	differential	ADJ
ap-1866	279	44	-	-	PUNCT
ap-1866	279	45	operator	operator	NOUN
ap-1866	279	46	hamiltonian	hamiltonian	ADJ
ap-1866	279	47	h	h	NOUN
ap-1866	279	48	with	with	ADP
ap-1866	279	49	the	the	DET
ap-1866	279	50	property	property	NOUN
ap-1866	279	51	h	h	NOUN
ap-1866	279	52	6=	6=	PROPN
ap-1866	279	53	h†	h†	ADV
ap-1866	279	54	in	in	ADP
ap-1866	279	55	h(f	h(f	PROPN
ap-1866	279	56	)	)	PUNCT
ap-1866	279	57	was	be	AUX
ap-1866	279	58	proposed	propose	VERB
ap-1866	279	59	in	in	ADP
ap-1866	279	60	ref	ref	NOUN
ap-1866	279	61	.	.	PUNCT
ap-1866	280	1	[	[	X
ap-1866	280	2	22	22	NUM
ap-1866	280	3	]	]	PUNCT
ap-1866	280	4	.	.	PUNCT
ap-1866	281	1	the	the	DET
ap-1866	281	2	particle	particle	NOUN
ap-1866	281	3	of	of	ADP
ap-1866	281	4	mass	mass	NOUN
ap-1866	281	5	µ	µ	X
ap-1866	281	6	=	=	SYM
ap-1866	281	7	1/2	1/2	NUM
ap-1866	281	8	was	be	AUX
ap-1866	281	9	assumed	assume	VERB
ap-1866	281	10	there	there	ADV
ap-1866	281	11	living	live	VERB
ap-1866	281	12	on	on	ADP
ap-1866	281	13	a	a	DET
ap-1866	281	14	finite	finite	ADJ
ap-1866	281	15	interval	interval	NOUN
ap-1866	281	16	of	of	ADP
ap-1866	281	17	x	x	X
ap-1866	281	18	∈	∈	PROPN
ap-1866	281	19	(	(	PUNCT
ap-1866	281	20	−l	−l	NOUN
ap-1866	281	21	,	,	PUNCT
ap-1866	281	22	l	l	NOUN
ap-1866	281	23	)	)	PUNCT
ap-1866	281	24	.	.	PUNCT
ap-1866	282	1	the	the	DET
ap-1866	282	2	only	only	ADJ
ap-1866	282	3	nontrivial	nontrivial	ADJ
ap-1866	282	4	interaction	interaction	NOUN
ap-1866	282	5	was	be	AUX
ap-1866	282	6	chosen	choose	VERB
ap-1866	282	7	as	as	ADP
ap-1866	282	8	localized	localize	VERB
ap-1866	282	9	at	at	ADP
ap-1866	282	10	the	the	DET
ap-1866	282	11	endpoints	endpoint	NOUN
ap-1866	282	12	and	and	CCONJ
ap-1866	282	13	479	479	NUM
ap-1866	282	14	m.	m.	NOUN
ap-1866	282	15	znojil	znojil	PROPN
ap-1866	282	16	acta	acta	PROPN
ap-1866	282	17	polytechnica	polytechnica	PROPN
ap-1866	282	18	characterized	characterize	VERB
ap-1866	282	19	by	by	ADP
ap-1866	282	20	the	the	DET
ap-1866	282	21	robin	robin	PROPN
ap-1866	282	22	-	-	PUNCT
ap-1866	282	23	type	type	NOUN
ap-1866	282	24	boundary	boundary	ADJ
ap-1866	282	25	conditions	condition	NOUN
ap-1866	282	26	ψ′(±l	ψ′(±l	PROPN
ap-1866	282	27	)	)	PUNCT
ap-1866	283	1	+	+	NUM
ap-1866	283	2	iα	iα	INTJ
ap-1866	283	3	ψ(±l	ψ(±l	NOUN
ap-1866	283	4	)	)	PUNCT
ap-1866	284	1	=	=	SYM
ap-1866	284	2	0	0	NUM
ap-1866	284	3	,	,	PUNCT
ap-1866	284	4	α	α	NOUN
ap-1866	284	5	>	>	X
ap-1866	284	6	0	0	NUM
ap-1866	284	7	,	,	PUNCT
ap-1866	284	8	2lα	2lα	NOUN
ap-1866	284	9	/	/	SYM
ap-1866	284	10	π	π	PROPN
ap-1866	284	11	6=	6=	ADP
ap-1866	284	12	1	1	NUM
ap-1866	284	13	,	,	PUNCT
ap-1866	284	14	2	2	NUM
ap-1866	284	15	,	,	PUNCT
ap-1866	284	16	.	.	PUNCT
ap-1866	284	17	.	.	PUNCT
ap-1866	284	18	.	.	PUNCT
ap-1866	284	19	.	.	PUNCT
ap-1866	285	1	(	(	PUNCT
ap-1866	285	2	19	19	NUM
ap-1866	285	3	)	)	PUNCT
ap-1866	285	4	the	the	DET
ap-1866	285	5	extreme	extreme	ADJ
ap-1866	285	6	simplicity	simplicity	NOUN
ap-1866	285	7	of	of	ADP
ap-1866	285	8	this	this	DET
ap-1866	285	9	model	model	NOUN
ap-1866	285	10	opened	open	VERB
ap-1866	285	11	the	the	DET
ap-1866	285	12	way	way	NOUN
ap-1866	285	13	not	not	PART
ap-1866	285	14	only	only	ADV
ap-1866	285	15	towards	towards	ADP
ap-1866	285	16	the	the	DET
ap-1866	285	17	elementary	elementary	ADJ
ap-1866	285	18	formula	formula	NOUN
ap-1866	285	19	for	for	ADP
ap-1866	285	20	the	the	DET
ap-1866	285	21	energy	energy	NOUN
ap-1866	285	22	spectrum	spectrum	NOUN
ap-1866	285	23	,	,	PUNCT
ap-1866	285	24	e0	e0	PROPN
ap-1866	285	25	=	=	SYM
ap-1866	285	26	α2	α2	PROPN
ap-1866	285	27	,	,	PUNCT
ap-1866	285	28	en	en	X
ap-1866	285	29	=	=	PUNCT
ap-1866	285	30	(	(	PUNCT
ap-1866	285	31	nπ	nπ	NOUN
ap-1866	285	32	2l	2l	NUM
ap-1866	285	33	)	)	PUNCT
ap-1866	285	34	2	2	NUM
ap-1866	285	35	,	,	PUNCT
ap-1866	285	36	n	n	NOUN
ap-1866	285	37	=	=	SYM
ap-1866	285	38	1	1	NUM
ap-1866	285	39	,	,	PUNCT
ap-1866	285	40	2	2	NUM
ap-1866	285	41	,	,	PUNCT
ap-1866	285	42	.	.	PUNCT
ap-1866	285	43	.	.	PUNCT
ap-1866	285	44	.	.	PUNCT
ap-1866	286	1	(	(	PUNCT
ap-1866	286	2	20	20	NUM
ap-1866	286	3	)	)	PUNCT
ap-1866	286	4	but	but	CCONJ
ap-1866	286	5	also	also	ADV
ap-1866	286	6	towards	towards	ADP
ap-1866	286	7	the	the	DET
ap-1866	286	8	equally	equally	ADV
ap-1866	286	9	elementary	elementary	ADJ
ap-1866	286	10	construction	construction	NOUN
ap-1866	286	11	of	of	ADP
ap-1866	286	12	the	the	DET
ap-1866	286	13	complete	complete	ADJ
ap-1866	286	14	family	family	NOUN
ap-1866	286	15	of	of	ADP
ap-1866	286	16	the	the	DET
ap-1866	286	17	eligible	eligible	ADJ
ap-1866	286	18	metrics	metric	NOUN
ap-1866	286	19	θ	θ	PROPN
ap-1866	286	20	(	(	PUNCT
ap-1866	286	21	cf	cf	NOUN
ap-1866	286	22	.	.	NOUN
ap-1866	286	23	,	,	PUNCT
ap-1866	286	24	e.g.	e.g.	ADV
ap-1866	286	25	,	,	PUNCT
ap-1866	286	26	refs	ref	NOUN
ap-1866	286	27	.	.	PUNCT
ap-1866	287	1	[	[	X
ap-1866	287	2	22–24	22–24	NUM
ap-1866	287	3	]	]	PUNCT
ap-1866	287	4	for	for	ADP
ap-1866	287	5	the	the	DET
ap-1866	287	6	details	detail	NOUN
ap-1866	287	7	)	)	PUNCT
ap-1866	287	8	.	.	PUNCT
ap-1866	288	1	the	the	DET
ap-1866	288	2	solvability	solvability	NOUN
ap-1866	288	3	as	as	ADV
ap-1866	288	4	well	well	ADV
ap-1866	288	5	as	as	ADP
ap-1866	288	6	the	the	DET
ap-1866	288	7	extreme	extreme	ADJ
ap-1866	288	8	simplicity	simplicity	NOUN
ap-1866	288	9	of	of	ADP
ap-1866	288	10	this	this	DET
ap-1866	288	11	model	model	NOUN
ap-1866	288	12	proved	prove	VERB
ap-1866	288	13	encouraging	encouraging	ADJ
ap-1866	288	14	in	in	ADP
ap-1866	288	15	several	several	ADJ
ap-1866	288	16	directions	direction	NOUN
ap-1866	288	17	.	.	PUNCT
ap-1866	289	1	in	in	ADP
ap-1866	289	2	the	the	DET
ap-1866	289	3	present	present	ADJ
ap-1866	289	4	context	context	NOUN
ap-1866	289	5	,	,	PUNCT
ap-1866	289	6	the	the	DET
ap-1866	289	7	mainstream	mainstream	NOUN
ap-1866	289	8	developments	development	NOUN
ap-1866	289	9	may	may	AUX
ap-1866	289	10	be	be	AUX
ap-1866	289	11	seen	see	VERB
ap-1866	289	12	in	in	ADP
ap-1866	289	13	the	the	DET
ap-1866	289	14	study	study	NOUN
ap-1866	289	15	of	of	ADP
ap-1866	289	16	its	its	PRON
ap-1866	289	17	discrete	discrete	ADJ
ap-1866	289	18	descendants	descendant	NOUN
ap-1866	289	19	(	(	PUNCT
ap-1866	289	20	cf	cf	NOUN
ap-1866	289	21	.	.	PUNCT
ap-1866	290	1	the	the	DET
ap-1866	290	2	next	next	ADJ
ap-1866	290	3	subsection	subsection	NOUN
ap-1866	290	4	)	)	PUNCT
ap-1866	290	5	.	.	PUNCT
ap-1866	291	1	however	however	ADV
ap-1866	291	2	,	,	PUNCT
ap-1866	291	3	before	before	ADP
ap-1866	291	4	turning	turn	VERB
ap-1866	291	5	our	our	PRON
ap-1866	291	6	attention	attention	NOUN
ap-1866	291	7	to	to	ADP
ap-1866	291	8	the	the	DET
ap-1866	291	9	resulting	result	VERB
ap-1866	291	10	family	family	NOUN
ap-1866	291	11	of	of	ADP
ap-1866	291	12	the	the	DET
ap-1866	291	13	finite	finite	ADJ
ap-1866	291	14	-	-	ADJ
ap-1866	291	15	dimensional	dimensional	ADJ
ap-1866	291	16	crypto	crypto	ADJ
ap-1866	291	17	-	-	ADJ
ap-1866	291	18	hermitian	hermitian	ADJ
ap-1866	291	19	problems	problem	NOUN
ap-1866	291	20	,	,	PUNCT
ap-1866	291	21	let	let	VERB
ap-1866	291	22	us	we	PRON
ap-1866	291	23	add	add	VERB
ap-1866	291	24	a	a	DET
ap-1866	291	25	brief	brief	ADJ
ap-1866	291	26	remark	remark	NOUN
ap-1866	291	27	on	on	ADP
ap-1866	291	28	the	the	DET
ap-1866	291	29	alternative	alternative	ADJ
ap-1866	291	30	possibility	possibility	NOUN
ap-1866	291	31	of	of	ADP
ap-1866	291	32	a	a	DET
ap-1866	291	33	transfer	transfer	NOUN
ap-1866	291	34	of	of	ADP
ap-1866	291	35	the	the	DET
ap-1866	291	36	present	present	ADJ
ap-1866	291	37	analysis	analysis	NOUN
ap-1866	291	38	of	of	ADP
ap-1866	291	39	the	the	DET
ap-1866	291	40	idea	idea	NOUN
ap-1866	291	41	of	of	ADP
ap-1866	291	42	generalized	generalized	ADJ
ap-1866	291	43	solvability	solvability	NOUN
ap-1866	291	44	to	to	ADP
ap-1866	291	45	the	the	DET
ap-1866	291	46	quickly	quickly	ADV
ap-1866	291	47	developing	develop	VERB
ap-1866	291	48	field	field	NOUN
ap-1866	291	49	of	of	ADP
ap-1866	291	50	so	so	ADV
ap-1866	291	51	-	-	PUNCT
ap-1866	291	52	called	call	VERB
ap-1866	291	53	quantum	quantum	NOUN
ap-1866	291	54	graphs	graph	NOUN
ap-1866	291	55	,	,	PUNCT
ap-1866	291	56	i.e.	i.e.	X
ap-1866	291	57	,	,	PUNCT
ap-1866	291	58	of	of	ADP
ap-1866	291	59	systems	system	NOUN
ap-1866	291	60	where	where	SCONJ
ap-1866	291	61	the	the	DET
ap-1866	291	62	usual	usual	ADJ
ap-1866	291	63	underlying	underlying	ADJ
ap-1866	291	64	concept	concept	NOUN
ap-1866	291	65	of	of	ADP
ap-1866	291	66	a	a	DET
ap-1866	291	67	point	point	NOUN
ap-1866	291	68	particle	particle	NOUN
ap-1866	291	69	moving	move	VERB
ap-1866	291	70	along	along	ADP
ap-1866	291	71	a	a	DET
ap-1866	291	72	real	real	ADJ
ap-1866	291	73	line	line	NOUN
ap-1866	291	74	or	or	CCONJ
ap-1866	291	75	interval	interval	NOUN
ap-1866	291	76	is	be	AUX
ap-1866	291	77	generalized	generalize	VERB
ap-1866	291	78	in	in	ADP
ap-1866	291	79	the	the	DET
ap-1866	291	80	sense	sense	NOUN
ap-1866	291	81	that	that	SCONJ
ap-1866	291	82	the	the	DET
ap-1866	291	83	single	single	ADJ
ap-1866	291	84	interval	interval	NOUN
ap-1866	291	85	(	(	PUNCT
ap-1866	291	86	say	say	INTJ
ap-1866	291	87	,	,	PUNCT
ap-1866	291	88	e+	e+	VERB
ap-1866	291	89	:	:	PUNCT
ap-1866	291	90	=	=	SYM
ap-1866	291	91	(	(	PUNCT
ap-1866	291	92	0	0	NUM
ap-1866	291	93	,	,	PUNCT
ap-1866	291	94	l	l	NOUN
ap-1866	291	95	)	)	PUNCT
ap-1866	291	96	)	)	PUNCT
ap-1866	291	97	is	be	AUX
ap-1866	291	98	replaced	replace	VERB
ap-1866	291	99	by	by	ADP
ap-1866	291	100	a	a	DET
ap-1866	291	101	suitable	suitable	ADJ
ap-1866	291	102	graph	graph	NOUN
ap-1866	291	103	g(q	g(q	NOUN
ap-1866	291	104	)	)	PUNCT
ap-1866	291	105	composed	compose	VERB
ap-1866	291	106	of	of	ADP
ap-1866	291	107	q	q	PROPN
ap-1866	291	108	edges	edge	NOUN
ap-1866	291	109	ej	ej	PROPN
ap-1866	291	110	,	,	PUNCT
ap-1866	291	111	j	j	PROPN
ap-1866	291	112	=	=	SYM
ap-1866	291	113	0	0	PROPN
ap-1866	291	114	,	,	PUNCT
ap-1866	291	115	1	1	NUM
ap-1866	291	116	,	,	PUNCT
ap-1866	291	117	.	.	PUNCT
ap-1866	291	118	.	.	PUNCT
ap-1866	292	1	.	.	PUNCT
ap-1866	293	1	,	,	PUNCT
ap-1866	293	2	q	q	NOUN
ap-1866	294	1	−	−	NOUN
ap-1866	294	2	1	1	NUM
ap-1866	294	3	.	.	PUNCT
ap-1866	295	1	the	the	DET
ap-1866	295	2	idea	idea	NOUN
ap-1866	295	3	still	still	ADV
ap-1866	295	4	waits	wait	VERB
ap-1866	295	5	for	for	ADP
ap-1866	295	6	its	its	PRON
ap-1866	295	7	full	full	ADJ
ap-1866	295	8	understanding	understanding	NOUN
ap-1866	295	9	and	and	CCONJ
ap-1866	295	10	consistent	consistent	ADJ
ap-1866	295	11	implementation	implementation	NOUN
ap-1866	295	12	.	.	PUNCT
ap-1866	296	1	in	in	ADP
ap-1866	296	2	particular	particular	ADJ
ap-1866	296	3	,	,	PUNCT
ap-1866	296	4	in	in	ADP
ap-1866	296	5	ref	ref	NOUN
ap-1866	296	6	.	.	PUNCT
ap-1866	297	1	[	[	X
ap-1866	297	2	25	25	NUM
ap-1866	297	3	]	]	PUNCT
ap-1866	297	4	we	we	PRON
ap-1866	297	5	showed	show	VERB
ap-1866	297	6	that	that	SCONJ
ap-1866	297	7	even	even	ADV
ap-1866	297	8	for	for	ADP
ap-1866	297	9	the	the	DET
ap-1866	297	10	least	least	ADV
ap-1866	297	11	complicated	complicated	ADJ
ap-1866	297	12	equilateral	equilateral	ADJ
ap-1866	297	13	q−pointed	q−pointe	VERB
ap-1866	297	14	star	star	NOUN
ap-1866	297	15	graphs	graph	NOUN
ap-1866	297	16	with	with	ADP
ap-1866	297	17	q	q	PROPN
ap-1866	297	18	>	>	X
ap-1866	297	19	2	2	NUM
ap-1866	297	20	the	the	DET
ap-1866	297	21	spectrum	spectrum	NOUN
ap-1866	297	22	of	of	ADP
ap-1866	297	23	energies	energy	NOUN
ap-1866	297	24	need	need	AUX
ap-1866	297	25	not	not	PART
ap-1866	297	26	remain	remain	VERB
ap-1866	297	27	real	real	ADJ
ap-1866	297	28	anymore	anymore	ADV
ap-1866	297	29	,	,	PUNCT
ap-1866	297	30	even	even	ADV
ap-1866	297	31	if	if	SCONJ
ap-1866	297	32	one	one	NUM
ap-1866	297	33	parallels	parallel	VERB
ap-1866	297	34	,	,	PUNCT
ap-1866	297	35	most	most	ADV
ap-1866	297	36	closely	closely	ADV
ap-1866	297	37	,	,	PUNCT
ap-1866	297	38	the	the	DET
ap-1866	297	39	q	q	NOUN
ap-1866	297	40	=	=	SYM
ap-1866	297	41	2	2	NUM
ap-1866	297	42	boundary	boundary	ADJ
ap-1866	297	43	conditions	condition	NOUN
ap-1866	297	44	(	(	PUNCT
ap-1866	297	45	19	19	NUM
ap-1866	297	46	)	)	PUNCT
ap-1866	297	47	and	and	CCONJ
ap-1866	297	48	even	even	ADV
ap-1866	297	49	if	if	SCONJ
ap-1866	297	50	one	one	PRON
ap-1866	297	51	does	do	AUX
ap-1866	297	52	not	not	PART
ap-1866	297	53	attach	attach	VERB
ap-1866	297	54	any	any	DET
ap-1866	297	55	interaction	interaction	NOUN
ap-1866	297	56	to	to	ADP
ap-1866	297	57	the	the	DET
ap-1866	297	58	central	central	ADJ
ap-1866	297	59	vertex	vertex	NOUN
ap-1866	297	60	.	.	PUNCT
ap-1866	298	1	in	in	ADP
ap-1866	298	2	our	our	PRON
ap-1866	298	3	present	present	ADJ
ap-1866	298	4	notation	notation	NOUN
ap-1866	298	5	this	this	PRON
ap-1866	298	6	means	mean	VERB
ap-1866	298	7	that	that	SCONJ
ap-1866	298	8	the	the	DET
ap-1866	298	9	domain	domain	NOUN
ap-1866	298	10	dh	dh	NOUN
ap-1866	298	11	of	of	ADP
ap-1866	298	12	fig	fig	NOUN
ap-1866	298	13	.	.	PUNCT
ap-1866	298	14	1	1	NUM
ap-1866	298	15	becomes	become	VERB
ap-1866	298	16	empty	empty	ADJ
ap-1866	298	17	.	.	PUNCT
ap-1866	299	1	in	in	ADP
ap-1866	299	2	other	other	ADJ
ap-1866	299	3	words	word	NOUN
ap-1866	299	4	,	,	PUNCT
ap-1866	299	5	the	the	DET
ap-1866	299	6	applicability	applicability	NOUN
ap-1866	299	7	of	of	ADP
ap-1866	299	8	this	this	PRON
ap-1866	299	9	and	and	CCONJ
ap-1866	299	10	similar	similar	ADJ
ap-1866	299	11	models	model	NOUN
ap-1866	299	12	remains	remain	VERB
ap-1866	299	13	restricted	restrict	VERB
ap-1866	299	14	to	to	ADP
ap-1866	299	15	classical	classical	ADJ
ap-1866	299	16	physics	physics	NOUN
ap-1866	299	17	and	and	CCONJ
ap-1866	299	18	optics	optic	NOUN
ap-1866	299	19	while	while	SCONJ
ap-1866	299	20	a	a	DET
ap-1866	299	21	correct	correct	ADJ
ap-1866	299	22	,	,	PUNCT
ap-1866	299	23	widely	widely	ADV
ap-1866	299	24	acceptable	acceptable	ADJ
ap-1866	299	25	quantum	quantum	NOUN
ap-1866	299	26	-	-	PUNCT
ap-1866	299	27	system	system	NOUN
ap-1866	299	28	interpretation	interpretation	NOUN
ap-1866	299	29	of	of	ADP
ap-1866	299	30	the	the	DET
ap-1866	299	31	manifestly	manifestly	ADV
ap-1866	299	32	non	non	ADJ
ap-1866	299	33	-	-	ADJ
ap-1866	299	34	hermitian	hermitian	ADJ
ap-1866	299	35	q	q	PROPN
ap-1866	299	36	>	>	SYM
ap-1866	299	37	2	2	NUM
ap-1866	299	38	quantum	quantum	NOUN
ap-1866	299	39	graphs	graph	NOUN
ap-1866	299	40	must	must	AUX
ap-1866	299	41	still	still	ADV
ap-1866	299	42	be	be	AUX
ap-1866	299	43	found	find	VERB
ap-1866	299	44	in	in	ADP
ap-1866	299	45	the	the	DET
ap-1866	299	46	future	future	NOUN
ap-1866	299	47	.	.	PUNCT
ap-1866	300	1	8.2	8.2	NUM
ap-1866	300	2	.	.	PUNCT
ap-1866	300	3	discrete	discrete	ADJ
ap-1866	300	4	lattices	lattice	NOUN
ap-1866	300	5	as	as	SCONJ
ap-1866	300	6	we	we	PRON
ap-1866	300	7	already	already	ADV
ap-1866	300	8	indicated	indicate	VERB
ap-1866	300	9	above	above	ADV
ap-1866	300	10	,	,	PUNCT
ap-1866	300	11	one	one	NUM
ap-1866	300	12	of	of	ADP
ap-1866	300	13	the	the	DET
ap-1866	300	14	most	most	ADV
ap-1866	300	15	promising	promising	ADJ
ap-1866	300	16	methods	method	NOUN
ap-1866	300	17	for	for	ADP
ap-1866	300	18	efficiently	efficiently	ADV
ap-1866	300	19	suppressing	suppress	VERB
ap-1866	300	20	some	some	PRON
ap-1866	300	21	of	of	ADP
ap-1866	300	22	the	the	DET
ap-1866	300	23	above	above	ADV
ap-1866	300	24	-	-	PUNCT
ap-1866	300	25	mentioned	mention	VERB
ap-1866	300	26	shortcomings	shortcoming	NOUN
ap-1866	300	27	of	of	ADP
ap-1866	300	28	the	the	DET
ap-1866	300	29	pt	pt	NOUN
ap-1866	300	30	-symmetric	-symmetric	ADJ
ap-1866	300	31	models	model	NOUN
ap-1866	300	32	which	which	PRON
ap-1866	300	33	are	be	AUX
ap-1866	300	34	built	build	VERB
ap-1866	300	35	in	in	ADP
ap-1866	300	36	an	an	DET
ap-1866	300	37	infinite	infinite	ADJ
ap-1866	300	38	-	-	PUNCT
ap-1866	300	39	dimensional	dimensional	ADJ
ap-1866	300	40	hilbert	hilbert	NOUN
ap-1866	300	41	space	space	NOUN
ap-1866	300	42	h(f	h(f	PROPN
ap-1866	300	43	)	)	PUNCT
ap-1866	300	44	may	may	AUX
ap-1866	300	45	be	be	AUX
ap-1866	300	46	seen	see	VERB
ap-1866	300	47	in	in	ADP
ap-1866	300	48	the	the	DET
ap-1866	300	49	transition	transition	NOUN
ap-1866	300	50	,	,	PUNCT
ap-1866	300	51	say	say	VERB
ap-1866	300	52	,	,	PUNCT
ap-1866	300	53	to	to	ADP
ap-1866	300	54	the	the	DET
ap-1866	300	55	discrete	discrete	ADJ
ap-1866	300	56	analogues	analogue	NOUN
ap-1866	300	57	and	and	CCONJ
ap-1866	300	58	descendants	descendant	NOUN
ap-1866	300	59	of	of	ADP
ap-1866	300	60	various	various	ADJ
ap-1866	300	61	confining	confine	VERB
ap-1866	300	62	pt	pt	NOUN
ap-1866	300	63	-symmetric	-symmetric	NOUN
ap-1866	300	64	as	as	ADV
ap-1866	300	65	well	well	ADV
ap-1866	300	66	as	as	ADP
ap-1866	300	67	non	non	ADJ
ap-1866	300	68	-	-	ADJ
ap-1866	300	69	pt	pt	ADJ
ap-1866	300	70	symmetric	symmetric	ADJ
ap-1866	300	71	potentials	potential	NOUN
ap-1866	300	72	[	[	X
ap-1866	300	73	26	26	NUM
ap-1866	300	74	]	]	PUNCT
ap-1866	300	75	.	.	PUNCT
ap-1866	301	1	in	in	ADP
ap-1866	301	2	particular	particular	ADJ
ap-1866	301	3	,	,	PUNCT
ap-1866	301	4	the	the	DET
ap-1866	301	5	most	most	ADV
ap-1866	301	6	elementary	elementary	ADJ
ap-1866	301	7	discrete	discrete	ADJ
ap-1866	301	8	analogues	analogue	NOUN
ap-1866	301	9	of	of	ADP
ap-1866	301	10	the	the	DET
ap-1866	301	11	most	most	ADV
ap-1866	301	12	elementary	elementary	ADJ
ap-1866	301	13	end	end	NOUN
ap-1866	301	14	-	-	PUNCT
ap-1866	301	15	point	point	NOUN
ap-1866	301	16	-	-	PUNCT
ap-1866	301	17	interaction	interaction	NOUN
ap-1866	301	18	-	-	PUNCT
ap-1866	301	19	simulating	simulate	VERB
ap-1866	301	20	boundary	boundary	ADJ
ap-1866	301	21	conditions	condition	NOUN
ap-1866	301	22	(	(	PUNCT
ap-1866	301	23	19	19	NUM
ap-1866	301	24	)	)	PUNCT
ap-1866	301	25	may	may	AUX
ap-1866	301	26	be	be	AUX
ap-1866	301	27	seen	see	VERB
ap-1866	301	28	in	in	ADP
ap-1866	301	29	the	the	DET
ap-1866	301	30	suitable	suitable	ADJ
ap-1866	301	31	end	end	NOUN
ap-1866	301	32	-	-	PUNCT
ap-1866	301	33	point	point	NOUN
ap-1866	301	34	non	non	ADJ
ap-1866	301	35	-	-	ADJ
ap-1866	301	36	hermitian	hermitian	ADJ
ap-1866	301	37	perturbations	perturbation	NOUN
ap-1866	301	38	w	w	X
ap-1866	301	39	(	(	PUNCT
ap-1866	301	40	n	n	CCONJ
ap-1866	301	41	)	)	PUNCT
ap-1866	301	42	of	of	ADP
ap-1866	301	43	the	the	DET
ap-1866	301	44	standard	standard	ADJ
ap-1866	301	45	hermitian	hermitian	ADJ
ap-1866	301	46	kinetic	kinetic	NOUN
ap-1866	301	47	-	-	PUNCT
ap-1866	301	48	energy	energy	NOUN
ap-1866	301	49	matrices	matrix	NOUN
ap-1866	301	50	−4(n	−4(n	VERB
ap-1866	301	51	)	)	PUNCT
ap-1866	301	52	,	,	PUNCT
ap-1866	301	53	i.e.	i.e.	X
ap-1866	301	54	,	,	PUNCT
ap-1866	301	55	of	of	ADP
ap-1866	301	56	the	the	DET
ap-1866	301	57	n	n	NOUN
ap-1866	301	58	by	by	ADP
ap-1866	301	59	n	n	CCONJ
ap-1866	301	60	negative	negative	ADJ
ap-1866	301	61	discrete	discrete	ADJ
ap-1866	301	62	laplacean	laplacean	ADJ
ap-1866	301	63	hamiltonians	hamiltonian	NOUN
ap-1866	301	64	where	where	SCONJ
ap-1866	301	65	mere	mere	ADJ
ap-1866	301	66	two	two	NUM
ap-1866	301	67	diagonals	diagonal	NOUN
ap-1866	301	68	of	of	ADP
ap-1866	301	69	matrix	matrix	NOUN
ap-1866	301	70	elements	element	NOUN
ap-1866	301	71	are	be	AUX
ap-1866	301	72	nonvanishing	nonvanishe	VERB
ap-1866	301	73	,	,	PUNCT
ap-1866	301	74	4(n	4(n	NUM
ap-1866	301	75	)	)	PUNCT
ap-1866	302	1	k	k	NOUN
ap-1866	302	2	,	,	PUNCT
ap-1866	302	3	k+1	k+1	X
ap-1866	302	4	=	=	SYM
ap-1866	302	5	4(n	4(n	NUM
ap-1866	302	6	)	)	PUNCT
ap-1866	302	7	k+1,k	k+1,k	PROPN
ap-1866	302	8	=	=	SYM
ap-1866	302	9	1	1	PROPN
ap-1866	302	10	,	,	PUNCT
ap-1866	302	11	k	k	NOUN
ap-1866	302	12	=	=	SYM
ap-1866	302	13	1	1	NUM
ap-1866	302	14	,	,	PUNCT
ap-1866	302	15	2	2	NUM
ap-1866	302	16	,	,	PUNCT
ap-1866	302	17	.	.	PUNCT
ap-1866	302	18	.	.	PUNCT
ap-1866	303	1	.	.	PUNCT
ap-1866	304	1	,	,	PUNCT
ap-1866	305	1	n	n	CCONJ
ap-1866	305	2	−	−	PROPN
ap-1866	305	3	1	1	NUM
ap-1866	305	4	.	.	PUNCT
ap-1866	306	1	with	with	ADP
ap-1866	306	2	this	this	DET
ap-1866	306	3	idea	idea	NOUN
ap-1866	306	4	in	in	ADP
ap-1866	306	5	mind	mind	NOUN
ap-1866	306	6	,	,	PUNCT
ap-1866	306	7	we	we	PRON
ap-1866	306	8	have	have	AUX
ap-1866	306	9	already	already	ADV
ap-1866	306	10	studied	study	VERB
ap-1866	306	11	,	,	PUNCT
ap-1866	306	12	in	in	ADP
ap-1866	306	13	[	[	PUNCT
ap-1866	306	14	27	27	NUM
ap-1866	306	15	]	]	PUNCT
ap-1866	306	16	,	,	PUNCT
ap-1866	306	17	the	the	DET
ap-1866	306	18	most	most	ADV
ap-1866	306	19	elementary	elementary	ADJ
ap-1866	306	20	model	model	NOUN
ap-1866	306	21	with	with	ADP
ap-1866	306	22	w	w	PROPN
ap-1866	306	23	(	(	PUNCT
ap-1866	306	24	n)(λ	n)(λ	NOUN
ap-1866	306	25	)	)	PUNCT
ap-1866	306	26	=	=	VERB
ap-1866	306	27			NOUN
ap-1866	306	28	0	0	PUNCT
ap-1866	307	1	−λ	−λ	PROPN
ap-1866	307	2	0	0	NUM
ap-1866	307	3	0	0	NUM
ap-1866	307	4	.	.	PUNCT
ap-1866	307	5	.	.	PUNCT
ap-1866	308	1	.	.	PUNCT
ap-1866	309	1	0	0	NUM
ap-1866	310	1	λ	λ	NOUN
ap-1866	310	2	0	0	NUM
ap-1866	310	3	0	0	NUM
ap-1866	310	4	0	0	NUM
ap-1866	310	5	.	.	PUNCT
ap-1866	310	6	.	.	PUNCT
ap-1866	310	7	.	.	PUNCT
ap-1866	311	1	...	...	PUNCT
ap-1866	312	1	0	0	NUM
ap-1866	312	2	0	0	NUM
ap-1866	312	3	0	0	NUM
ap-1866	312	4	.	.	PUNCT
ap-1866	312	5	.	.	PUNCT
ap-1866	312	6	.	.	PUNCT
ap-1866	312	7	.	.	PUNCT
ap-1866	312	8	.	.	PUNCT
ap-1866	312	9	.	.	PUNCT
ap-1866	313	1	0	0	NUM
ap-1866	314	1	0	0	NUM
ap-1866	314	2	0	0	NUM
ap-1866	314	3	.	.	PUNCT
ap-1866	314	4	.	.	PUNCT
ap-1866	314	5	.	.	PUNCT
ap-1866	314	6	.	.	PUNCT
ap-1866	314	7	.	.	PUNCT
ap-1866	315	1	.	.	PUNCT
ap-1866	316	1	0	0	NUM
ap-1866	316	2	0	0	NUM
ap-1866	316	3	...	...	PUNCT
ap-1866	316	4	.	.	PUNCT
ap-1866	316	5	.	.	PUNCT
ap-1866	316	6	.	.	PUNCT
ap-1866	316	7	.	.	PUNCT
ap-1866	316	8	.	.	PUNCT
ap-1866	317	1	.	.	PUNCT
ap-1866	318	1	0	0	NUM
ap-1866	318	2	0	0	NUM
ap-1866	319	1	λ	λ	NOUN
ap-1866	319	2	0	0	NUM
ap-1866	319	3	.	.	PUNCT
ap-1866	319	4	.	.	PUNCT
ap-1866	319	5	.	.	PUNCT
ap-1866	320	1	0	0	NUM
ap-1866	320	2	0	0	NUM
ap-1866	320	3	−λ	−λ	PROPN
ap-1866	320	4	0	0	NUM
ap-1866	320	5			NUM
ap-1866	320	6	.	.	PUNCT
ap-1866	321	1	(	(	PUNCT
ap-1866	321	2	21	21	NUM
ap-1866	321	3	)	)	PUNCT
ap-1866	321	4	we	we	PRON
ap-1866	321	5	succeeded	succeed	VERB
ap-1866	321	6	in	in	ADP
ap-1866	321	7	constructing	construct	VERB
ap-1866	321	8	the	the	DET
ap-1866	321	9	complete	complete	ADJ
ap-1866	321	10	n	n	CCONJ
ap-1866	321	11	-parametric	-parametric	ADJ
ap-1866	321	12	family	family	NOUN
ap-1866	321	13	of	of	ADP
ap-1866	321	14	the	the	DET
ap-1866	321	15	physics	physics	NOUN
ap-1866	321	16	-	-	PUNCT
ap-1866	321	17	determining	determine	VERB
ap-1866	321	18	solutions	solution	NOUN
ap-1866	321	19	θ	θ	PROPN
ap-1866	321	20	of	of	ADP
ap-1866	321	21	the	the	DET
ap-1866	321	22	compatibility	compatibility	NOUN
ap-1866	321	23	constraint	constraint	NOUN
ap-1866	321	24	(	(	PUNCT
ap-1866	321	25	4	4	NUM
ap-1866	321	26	)	)	PUNCT
ap-1866	321	27	.	.	PUNCT
ap-1866	322	1	in	in	ADP
ap-1866	322	2	ref	ref	NOUN
ap-1866	322	3	.	.	PUNCT
ap-1866	323	1	[	[	X
ap-1866	323	2	28	28	NUM
ap-1866	323	3	]	]	X
ap-1866	323	4	we	we	PRON
ap-1866	323	5	then	then	ADV
ap-1866	323	6	extended	extend	VERB
ap-1866	323	7	these	these	DET
ap-1866	323	8	results	result	NOUN
ap-1866	323	9	to	to	ADP
ap-1866	323	10	the	the	DET
ap-1866	323	11	more	more	ADV
ap-1866	323	12	general	general	ADJ
ap-1866	323	13	,	,	PUNCT
ap-1866	323	14	multiparametric	multiparametric	ADJ
ap-1866	323	15	boundary	boundary	ADJ
ap-1866	323	16	-	-	PUNCT
ap-1866	323	17	condition	condition	NOUN
ap-1866	323	18	-	-	PUNCT
ap-1866	323	19	simulated	simulate	VERB
ap-1866	323	20	perturbations	perturbation	NOUN
ap-1866	323	21	w	w	X
ap-1866	323	22	(	(	PUNCT
ap-1866	323	23	n)(λ	n)(λ	PROPN
ap-1866	323	24	,	,	PUNCT
ap-1866	323	25	µ	µ	NOUN
ap-1866	323	26	)	)	PUNCT
ap-1866	323	27	=	=	NOUN
ap-1866	323	28			NOUN
ap-1866	323	29	0	0	NUM
ap-1866	324	1	−λ	−λ	NOUN
ap-1866	324	2	0	0	NUM
ap-1866	324	3	0	0	NUM
ap-1866	324	4	.	.	PUNCT
ap-1866	324	5	.	.	PUNCT
ap-1866	324	6	.	.	PUNCT
ap-1866	324	7	.	.	PUNCT
ap-1866	324	8	.	.	PUNCT
ap-1866	325	1	.	.	PUNCT
ap-1866	326	1	0	0	NUM
ap-1866	327	1	λ	λ	NOUN
ap-1866	327	2	0	0	PROPN
ap-1866	327	3	µ	µ	NOUN
ap-1866	327	4	0	0	NUM
ap-1866	327	5	.	.	PUNCT
ap-1866	327	6	.	.	PUNCT
ap-1866	327	7	.	.	PUNCT
ap-1866	327	8	.	.	PUNCT
ap-1866	327	9	.	.	PUNCT
ap-1866	328	1	.	.	PUNCT
ap-1866	329	1	0	0	NUM
ap-1866	329	2	0	0	NUM
ap-1866	330	1	−µ	−µ	NOUN
ap-1866	330	2	0	0	NUM
ap-1866	330	3	0	0	NUM
ap-1866	330	4	.	.	PUNCT
ap-1866	330	5	.	.	PUNCT
ap-1866	330	6	.	.	PUNCT
ap-1866	331	1	...	...	PUNCT
ap-1866	332	1	0	0	NUM
ap-1866	332	2	0	0	NUM
ap-1866	332	3	0	0	NUM
ap-1866	332	4	0	0	NUM
ap-1866	332	5	.	.	PUNCT
ap-1866	332	6	.	.	PUNCT
ap-1866	332	7	.	.	PUNCT
ap-1866	332	8	.	.	PUNCT
ap-1866	332	9	.	.	PUNCT
ap-1866	332	10	.	.	PUNCT
ap-1866	333	1	...	...	PUNCT
ap-1866	333	2	...	...	PUNCT
ap-1866	333	3	.	.	PUNCT
ap-1866	333	4	.	.	PUNCT
ap-1866	333	5	.	.	PUNCT
ap-1866	334	1	.	.	PUNCT
ap-1866	334	2	.	.	PUNCT
ap-1866	335	1	.	.	PUNCT
ap-1866	335	2	.	.	PUNCT
ap-1866	336	1	.	.	PUNCT
ap-1866	337	1	.	.	PUNCT
ap-1866	338	1	0	0	NUM
ap-1866	339	1	0	0	NUM
ap-1866	339	2	0	0	NUM
ap-1866	339	3	...	...	PUNCT
ap-1866	339	4	.	.	PUNCT
ap-1866	339	5	.	.	PUNCT
ap-1866	340	1	.	.	PUNCT
ap-1866	341	1	0	0	NUM
ap-1866	341	2	0	0	NUM
ap-1866	342	1	−µ	−µ	NOUN
ap-1866	342	2	0	0	NUM
ap-1866	342	3	0	0	NUM
ap-1866	342	4	.	.	PUNCT
ap-1866	342	5	.	.	PUNCT
ap-1866	342	6	.	.	PUNCT
ap-1866	342	7	.	.	PUNCT
ap-1866	342	8	.	.	PUNCT
ap-1866	343	1	.	.	PUNCT
ap-1866	344	1	0	0	NUM
ap-1866	345	1	µ	µ	X
ap-1866	345	2	0	0	NUM
ap-1866	345	3	λ	λ	NOUN
ap-1866	345	4	0	0	NUM
ap-1866	345	5	.	.	PUNCT
ap-1866	345	6	.	.	PUNCT
ap-1866	345	7	.	.	PUNCT
ap-1866	345	8	.	.	PUNCT
ap-1866	345	9	.	.	PUNCT
ap-1866	345	10	.	.	PUNCT
ap-1866	346	1	0	0	NUM
ap-1866	346	2	0	0	NUM
ap-1866	346	3	−λ	−λ	PROPN
ap-1866	346	4	0	0	NUM
ap-1866	346	5			PRON
ap-1866	346	6	(	(	PUNCT
ap-1866	346	7	22	22	NUM
ap-1866	346	8	)	)	PUNCT
ap-1866	346	9	etc	etc	X
ap-1866	346	10	.	.	X
ap-1866	347	1	thus	thus	ADV
ap-1866	347	2	,	,	PUNCT
ap-1866	347	3	all	all	PRON
ap-1866	347	4	of	of	ADP
ap-1866	347	5	these	these	DET
ap-1866	347	6	models	model	NOUN
ap-1866	347	7	may	may	AUX
ap-1866	347	8	be	be	AUX
ap-1866	347	9	declared	declare	VERB
ap-1866	347	10	solvable	solvable	ADJ
ap-1866	347	11	in	in	ADP
ap-1866	347	12	the	the	DET
ap-1866	347	13	presently	presently	ADV
ap-1866	347	14	proposed	propose	VERB
ap-1866	347	15	sense	sense	NOUN
ap-1866	347	16	.	.	PUNCT
ap-1866	348	1	at	at	ADP
ap-1866	348	2	the	the	DET
ap-1866	348	3	same	same	ADJ
ap-1866	348	4	time	time	NOUN
ap-1866	348	5	,	,	PUNCT
ap-1866	348	6	the	the	DET
ap-1866	348	7	question	question	NOUN
ap-1866	348	8	of	of	ADP
ap-1866	348	9	the	the	DET
ap-1866	348	10	survival	survival	NOUN
ap-1866	348	11	of	of	ADP
ap-1866	348	12	feasibility	feasibility	NOUN
ap-1866	348	13	of	of	ADP
ap-1866	348	14	these	these	DET
ap-1866	348	15	exhaustive	exhaustive	ADJ
ap-1866	348	16	constructions	construction	NOUN
ap-1866	348	17	of	of	ADP
ap-1866	348	18	metrics	metric	NOUN
ap-1866	348	19	θ	θ	PROPN
ap-1866	348	20	after	after	ADP
ap-1866	348	21	transition	transition	NOUN
ap-1866	348	22	to	to	ADP
ap-1866	348	23	nontrivial	nontrivial	VERB
ap-1866	348	24	discrete	discrete	ADJ
ap-1866	348	25	quantum	quantum	NOUN
ap-1866	348	26	graphs	graph	NOUN
ap-1866	348	27	remains	remain	VERB
ap-1866	348	28	open	open	ADJ
ap-1866	348	29	[	[	X
ap-1866	348	30	29	29	NUM
ap-1866	348	31	]	]	SYM
ap-1866	348	32	.	.	PUNCT
ap-1866	349	1	9	9	X
ap-1866	349	2	.	.	X
ap-1866	349	3	discussion	discussion	NOUN
ap-1866	349	4	during	during	ADP
ap-1866	349	5	transitions	transition	NOUN
ap-1866	349	6	from	from	ADP
ap-1866	349	7	classical	classical	ADJ
ap-1866	349	8	to	to	ADP
ap-1866	349	9	quantum	quantum	ADJ
ap-1866	349	10	theory	theory	NOUN
ap-1866	349	11	one	one	PRON
ap-1866	349	12	must	must	AUX
ap-1866	349	13	often	often	ADV
ap-1866	349	14	suppress	suppress	VERB
ap-1866	349	15	various	various	ADJ
ap-1866	349	16	ambiguities	ambiguity	NOUN
ap-1866	349	17	—	—	PUNCT
ap-1866	349	18	cf	cf	NOUN
ap-1866	349	19	.	.	NOUN
ap-1866	349	20	,	,	PUNCT
ap-1866	349	21	e.g.	e.g.	ADV
ap-1866	349	22	,	,	PUNCT
ap-1866	349	23	the	the	DET
ap-1866	349	24	well	well	ADV
ap-1866	349	25	known	know	VERB
ap-1866	349	26	operator	operator	NOUN
ap-1866	349	27	-	-	PUNCT
ap-1866	349	28	ordering	order	VERB
ap-1866	349	29	ambiguity	ambiguity	NOUN
ap-1866	349	30	of	of	ADP
ap-1866	349	31	hamiltonians	hamiltonian	NOUN
ap-1866	349	32	which	which	PRON
ap-1866	349	33	are	be	AUX
ap-1866	349	34	,	,	PUNCT
ap-1866	349	35	classically	classically	ADV
ap-1866	349	36	,	,	PUNCT
ap-1866	349	37	defined	define	VERB
ap-1866	349	38	as	as	ADP
ap-1866	349	39	functions	function	NOUN
ap-1866	349	40	of	of	ADP
ap-1866	349	41	momentum	momentum	NOUN
ap-1866	349	42	and	and	CCONJ
ap-1866	349	43	position	position	NOUN
ap-1866	349	44	.	.	PUNCT
ap-1866	350	1	moreover	moreover	ADV
ap-1866	350	2	,	,	PUNCT
ap-1866	350	3	even	even	ADV
ap-1866	350	4	after	after	SCONJ
ap-1866	350	5	we	we	PRON
ap-1866	350	6	specify	specify	VERB
ap-1866	350	7	a	a	DET
ap-1866	350	8	unique	unique	ADJ
ap-1866	350	9	quantum	quantum	ADJ
ap-1866	350	10	hamiltonian	hamiltonian	NOUN
ap-1866	350	11	operator	operator	NOUN
ap-1866	350	12	h	h	NOUN
ap-1866	350	13	,	,	PUNCT
ap-1866	350	14	we	we	PRON
ap-1866	350	15	may	may	AUX
ap-1866	350	16	still	still	ADV
ap-1866	350	17	encounter	encounter	VERB
ap-1866	350	18	another	another	PRON
ap-1866	350	19	,	,	PUNCT
ap-1866	350	20	less	less	ADV
ap-1866	350	21	known	know	VERB
ap-1866	350	22	ambiguity	ambiguity	NOUN
ap-1866	350	23	which	which	PRON
ap-1866	350	24	is	be	AUX
ap-1866	350	25	well	well	ADV
ap-1866	350	26	know	know	ADJ
ap-1866	350	27	,	,	PUNCT
ap-1866	350	28	e.g.	e.g.	ADV
ap-1866	350	29	,	,	PUNCT
ap-1866	350	30	in	in	ADP
ap-1866	350	31	nuclear	nuclear	ADJ
ap-1866	350	32	physics	physics	NOUN
ap-1866	351	1	[	[	X
ap-1866	351	2	2	2	NUM
ap-1866	351	3	]	]	PUNCT
ap-1866	351	4	.	.	PUNCT
ap-1866	352	1	the	the	DET
ap-1866	352	2	mathematical	mathematical	ADJ
ap-1866	352	3	essence	essence	NOUN
ap-1866	352	4	of	of	ADP
ap-1866	352	5	this	this	DET
ap-1866	352	6	ambiguity	ambiguity	NOUN
ap-1866	352	7	lies	lie	VERB
ap-1866	352	8	in	in	ADP
ap-1866	352	9	the	the	DET
ap-1866	352	10	freedom	freedom	NOUN
ap-1866	352	11	of	of	ADP
ap-1866	352	12	our	our	PRON
ap-1866	352	13	choice	choice	NOUN
ap-1866	352	14	of	of	ADP
ap-1866	352	15	a	a	DET
ap-1866	352	16	sophisticated	sophisticated	ADJ
ap-1866	352	17	conjugation	conjugation	NOUN
ap-1866	352	18	t	t	PROPN
ap-1866	352	19	(	(	PUNCT
ap-1866	352	20	s	s	NOUN
ap-1866	352	21	)	)	PUNCT
ap-1866	352	22	which	which	PRON
ap-1866	352	23	maps	map	VERB
ap-1866	352	24	the	the	DET
ap-1866	352	25	standard	standard	ADJ
ap-1866	352	26	physical	physical	ADJ
ap-1866	352	27	vector	vector	NOUN
ap-1866	352	28	space	space	NOUN
ap-1866	352	29	v	v	NOUN
ap-1866	352	30	(	(	PUNCT
ap-1866	352	31	i.e.	i.e.	X
ap-1866	352	32	,	,	PUNCT
ap-1866	352	33	the	the	DET
ap-1866	352	34	space	space	NOUN
ap-1866	352	35	of	of	ADP
ap-1866	352	36	ket	ket	NOUN
ap-1866	352	37	vectors	vector	NOUN
ap-1866	352	38	|ψ	|ψ	VERB
ap-1866	352	39	〉	〉	NUM
ap-1866	352	40	representing	represent	VERB
ap-1866	352	41	the	the	DET
ap-1866	352	42	admissible	admissible	ADJ
ap-1866	352	43	quantum	quantum	ADJ
ap-1866	352	44	states	state	NOUN
ap-1866	352	45	)	)	PUNCT
ap-1866	352	46	onto	onto	ADP
ap-1866	352	47	the	the	DET
ap-1866	352	48	dual	dual	ADJ
ap-1866	352	49	vector	vector	NOUN
ap-1866	352	50	space	space	NOUN
ap-1866	352	51	v	v	NOUN
ap-1866	352	52	′	′	NUM
ap-1866	352	53	of	of	ADP
ap-1866	352	54	the	the	DET
ap-1866	352	55	linear	linear	ADJ
ap-1866	352	56	functionals	functional	NOUN
ap-1866	352	57	over	over	ADP
ap-1866	352	58	v.	v.	ADV
ap-1866	352	59	in	in	ADP
ap-1866	352	60	our	our	PRON
ap-1866	352	61	present	present	ADJ
ap-1866	352	62	paper	paper	NOUN
ap-1866	352	63	we	we	PRON
ap-1866	352	64	discussed	discuss	VERB
ap-1866	352	65	some	some	PRON
ap-1866	352	66	of	of	ADP
ap-1866	352	67	the	the	DET
ap-1866	352	68	less	less	ADV
ap-1866	352	69	well	well	ADV
ap-1866	352	70	known	know	VERB
ap-1866	352	71	aspects	aspect	NOUN
ap-1866	352	72	of	of	ADP
ap-1866	352	73	this	this	DET
ap-1866	352	74	ambiguity	ambiguity	NOUN
ap-1866	352	75	in	in	ADP
ap-1866	352	76	more	more	ADJ
ap-1866	352	77	detail	detail	NOUN
ap-1866	352	78	.	.	PUNCT
ap-1866	353	1	let	let	VERB
ap-1866	353	2	us	we	PRON
ap-1866	353	3	now	now	ADV
ap-1866	353	4	add	add	VERB
ap-1866	353	5	a	a	DET
ap-1866	353	6	few	few	ADJ
ap-1866	353	7	further	further	ADJ
ap-1866	353	8	comments	comment	NOUN
ap-1866	353	9	on	on	ADP
ap-1866	353	10	the	the	DET
ap-1866	353	11	current	current	ADJ
ap-1866	353	12	quantum	quantum	NOUN
ap-1866	353	13	-	-	PUNCT
ap-1866	353	14	model	model	NOUN
ap-1866	353	15	building	building	NOUN
ap-1866	353	16	practice	practice	NOUN
ap-1866	353	17	.	.	PUNCT
ap-1866	354	1	first	first	ADV
ap-1866	354	2	of	of	ADP
ap-1866	354	3	all	all	PRON
ap-1866	354	4	,	,	PUNCT
ap-1866	354	5	let	let	VERB
ap-1866	354	6	us	we	PRON
ap-1866	354	7	recollect	recollect	VERB
ap-1866	354	8	that	that	SCONJ
ap-1866	354	9	one	one	NOUN
ap-1866	354	10	often	often	ADV
ap-1866	354	11	postulates	postulate	VERB
ap-1866	354	12	a	a	DET
ap-1866	354	13	point	point	NOUN
ap-1866	354	14	-	-	PUNCT
ap-1866	354	15	particle	particle	NOUN
ap-1866	354	16	(	(	PUNCT
ap-1866	354	17	or	or	CCONJ
ap-1866	354	18	point	point	NOUN
ap-1866	354	19	-	-	PUNCT
ap-1866	354	20	quasi	quasi	NOUN
ap-1866	354	21	-	-	NOUN
ap-1866	354	22	particle	particle	NOUN
ap-1866	354	23	)	)	PUNCT
ap-1866	354	24	nature	nature	NOUN
ap-1866	354	25	and	and	CCONJ
ap-1866	354	26	background	background	NOUN
ap-1866	354	27	of	of	ADP
ap-1866	354	28	the	the	DET
ap-1866	354	29	generic	generic	ADJ
ap-1866	354	30	quantum	quantum	NOUN
ap-1866	354	31	models	model	NOUN
ap-1866	354	32	.	.	PUNCT
ap-1866	355	1	thus	thus	ADV
ap-1866	355	2	,	,	PUNCT
ap-1866	355	3	480	480	NUM
ap-1866	355	4	vol	vol	NOUN
ap-1866	355	5	.	.	PUNCT
ap-1866	356	1	53	53	NUM
ap-1866	356	2	no	no	NOUN
ap-1866	356	3	.	.	PUNCT
ap-1866	357	1	5/2013	5/2013	NUM
ap-1866	357	2	new	new	ADJ
ap-1866	357	3	concept	concept	NOUN
ap-1866	357	4	of	of	ADP
ap-1866	357	5	solvability	solvability	NOUN
ap-1866	357	6	in	in	ADP
ap-1866	357	7	quantum	quantum	ADJ
ap-1866	357	8	mechanics	mechanic	NOUN
ap-1866	357	9	in	in	ADP
ap-1866	357	10	spite	spite	NOUN
ap-1866	357	11	of	of	ADP
ap-1866	357	12	the	the	DET
ap-1866	357	13	existence	existence	NOUN
ap-1866	357	14	of	of	ADP
ap-1866	357	15	at	at	ADV
ap-1866	357	16	least	least	ADV
ap-1866	357	17	nine	nine	NUM
ap-1866	357	18	alternative	alternative	ADJ
ap-1866	357	19	formulations	formulation	NOUN
ap-1866	357	20	of	of	ADP
ap-1866	357	21	the	the	DET
ap-1866	357	22	abstract	abstract	ADJ
ap-1866	357	23	quantum	quantum	ADJ
ap-1866	357	24	mechanics	mechanic	NOUN
ap-1866	357	25	as	as	SCONJ
ap-1866	357	26	listed	list	VERB
ap-1866	357	27	,	,	PUNCT
ap-1866	357	28	by	by	ADP
ap-1866	357	29	styer	styer	PROPN
ap-1866	357	30	et	et	PROPN
ap-1866	357	31	al	al	PROPN
ap-1866	357	32	,	,	PUNCT
ap-1866	357	33	in	in	ADP
ap-1866	357	34	their	their	PRON
ap-1866	357	35	2002	2002	NUM
ap-1866	357	36	concise	concise	ADJ
ap-1866	357	37	review	review	NOUN
ap-1866	357	38	paper	paper	NOUN
ap-1866	357	39	[	[	X
ap-1866	357	40	30	30	NUM
ap-1866	357	41	]	]	PUNCT
ap-1866	357	42	,	,	PUNCT
ap-1866	357	43	a	a	DET
ap-1866	357	44	hidden	hidden	ADJ
ap-1866	357	45	reference	reference	NOUN
ap-1866	357	46	to	to	ADP
ap-1866	357	47	the	the	DET
ap-1866	357	48	wave	wave	NOUN
ap-1866	357	49	function	function	NOUN
ap-1866	357	50	ψ(x	ψ(x	PROPN
ap-1866	357	51	)	)	PUNCT
ap-1866	357	52	which	which	PRON
ap-1866	357	53	defines	define	VERB
ap-1866	357	54	the	the	DET
ap-1866	357	55	probability	probability	NOUN
ap-1866	357	56	density	density	NOUN
ap-1866	357	57	and	and	CCONJ
ap-1866	357	58	which	which	PRON
ap-1866	357	59	lives	live	VERB
ap-1866	357	60	in	in	ADP
ap-1866	357	61	some	some	DET
ap-1866	357	62	“	"	PUNCT
ap-1866	357	63	friendly	friendly	ADJ
ap-1866	357	64	”	"	PUNCT
ap-1866	357	65	hilbert	hilbert	NOUN
ap-1866	357	66	space	space	NOUN
ap-1866	357	67	(	(	PUNCT
ap-1866	357	68	say	say	INTJ
ap-1866	357	69	,	,	PUNCT
ap-1866	357	70	in	in	ADP
ap-1866	357	71	h(f	h(f	NOUN
ap-1866	357	72	)	)	PUNCT
ap-1866	357	73	=	=	SYM
ap-1866	357	74	l2(rd	l2(rd	PROPN
ap-1866	357	75	)	)	PUNCT
ap-1866	357	76	)	)	PUNCT
ap-1866	357	77	survives	survive	VERB
ap-1866	357	78	,	,	PUNCT
ap-1866	357	79	more	more	ADJ
ap-1866	357	80	or	or	CCONJ
ap-1866	357	81	less	less	ADV
ap-1866	357	82	explicitly	explicitly	ADV
ap-1866	357	83	,	,	PUNCT
ap-1866	357	84	in	in	ADP
ap-1866	357	85	the	the	DET
ap-1866	357	86	large	large	ADJ
ap-1866	357	87	majority	majority	NOUN
ap-1866	357	88	of	of	ADP
ap-1866	357	89	our	our	PRON
ap-1866	357	90	conceptual	conceptual	ADJ
ap-1866	357	91	as	as	ADV
ap-1866	357	92	well	well	ADV
ap-1866	357	93	as	as	ADP
ap-1866	357	94	methological	methological	ADJ
ap-1866	357	95	considerations	consideration	NOUN
ap-1866	357	96	.	.	PUNCT
ap-1866	358	1	a	a	DET
ap-1866	358	2	true	true	ADJ
ap-1866	358	3	paradox	paradox	NOUN
ap-1866	358	4	is	be	AUX
ap-1866	358	5	that	that	SCONJ
ap-1866	358	6	the	the	DET
ap-1866	358	7	simultaneous	simultaneous	ADJ
ap-1866	358	8	choice	choice	NOUN
ap-1866	358	9	of	of	ADP
ap-1866	358	10	the	the	DET
ap-1866	358	11	friendly	friendly	ADJ
ap-1866	358	12	hilbert	hilbert	NOUN
ap-1866	358	13	space	space	NOUN
ap-1866	358	14	h(f	h(f	PROPN
ap-1866	358	15	)	)	PUNCT
ap-1866	358	16	and	and	CCONJ
ap-1866	358	17	of	of	ADP
ap-1866	358	18	some	some	DET
ap-1866	358	19	equally	equally	ADV
ap-1866	358	20	friendly	friendly	ADJ
ap-1866	358	21	differential	differential	ADJ
ap-1866	358	22	-	-	PUNCT
ap-1866	358	23	operator	operator	NOUN
ap-1866	358	24	generator	generator	NOUN
ap-1866	358	25	h	h	NOUN
ap-1866	358	26	=	=	NOUN
ap-1866	359	1	4	4	NUM
ap-1866	359	2	+	+	NUM
ap-1866	359	3	v	v	NOUN
ap-1866	359	4	(	(	PUNCT
ap-1866	359	5	x	x	NOUN
ap-1866	359	6	)	)	PUNCT
ap-1866	359	7	of	of	ADP
ap-1866	359	8	the	the	DET
ap-1866	359	9	time	time	NOUN
ap-1866	359	10	evolution	evolution	NOUN
ap-1866	359	11	encountered	encounter	VERB
ap-1866	359	12	just	just	ADV
ap-1866	359	13	a	a	DET
ap-1866	359	14	very	very	ADV
ap-1866	359	15	rare	rare	ADJ
ap-1866	359	16	critical	critical	ADJ
ap-1866	359	17	opposition	opposition	NOUN
ap-1866	359	18	in	in	ADP
ap-1866	359	19	the	the	DET
ap-1866	359	20	literature	literature	NOUN
ap-1866	359	21	[	[	X
ap-1866	359	22	31	31	NUM
ap-1866	359	23	]	]	PUNCT
ap-1866	359	24	.	.	PUNCT
ap-1866	360	1	the	the	DET
ap-1866	360	2	overall	overall	ADJ
ap-1866	360	3	paradigm	paradigm	NOUN
ap-1866	360	4	only	only	ADV
ap-1866	360	5	started	start	VERB
ap-1866	360	6	changing	change	VERB
ap-1866	360	7	when	when	SCONJ
ap-1866	360	8	the	the	DET
ap-1866	360	9	nuclear	nuclear	ADJ
ap-1866	360	10	physicists	physicist	NOUN
ap-1866	360	11	imagined	imagine	VERB
ap-1866	360	12	that	that	SCONJ
ap-1866	360	13	the	the	DET
ap-1866	360	14	costs	cost	NOUN
ap-1866	360	15	of	of	ADP
ap-1866	360	16	keeping	keep	VERB
ap-1866	360	17	the	the	DET
ap-1866	360	18	hilbert	hilbert	PROPN
ap-1866	360	19	space	space	NOUN
ap-1866	360	20	h(f	h(f	PROPN
ap-1866	360	21	)	)	PUNCT
ap-1866	360	22	(	(	PUNCT
ap-1866	360	23	or	or	CCONJ
ap-1866	360	24	,	,	PUNCT
ap-1866	360	25	more	more	ADV
ap-1866	360	26	explicitly	explicitly	ADV
ap-1866	360	27	,	,	PUNCT
ap-1866	360	28	its	its	PRON
ap-1866	360	29	inner	inner	ADJ
ap-1866	360	30	product	product	NOUN
ap-1866	360	31	)	)	PUNCT
ap-1866	360	32	unchanged	unchanged	ADJ
ap-1866	360	33	might	might	AUX
ap-1866	360	34	prove	prove	VERB
ap-1866	360	35	too	too	ADV
ap-1866	360	36	high	high	ADJ
ap-1866	360	37	,	,	PUNCT
ap-1866	360	38	say	say	VERB
ap-1866	360	39	,	,	PUNCT
ap-1866	360	40	during	during	ADP
ap-1866	360	41	variational	variational	ADJ
ap-1866	360	42	calculations	calculation	NOUN
ap-1866	360	43	[	[	X
ap-1866	360	44	2	2	NUM
ap-1866	360	45	]	]	PUNCT
ap-1866	360	46	.	.	PUNCT
ap-1866	361	1	anyhow	anyhow	ADV
ap-1866	361	2	,	,	PUNCT
ap-1866	361	3	the	the	DET
ap-1866	361	4	ultimate	ultimate	ADJ
ap-1866	361	5	collapse	collapse	NOUN
ap-1866	361	6	of	of	ADP
ap-1866	361	7	the	the	DET
ap-1866	361	8	old	old	ADJ
ap-1866	361	9	paradigm	paradigm	NOUN
ap-1866	361	10	came	come	VERB
ap-1866	361	11	shortly	shortly	ADV
ap-1866	361	12	after	after	ADP
ap-1866	361	13	the	the	DET
ap-1866	361	14	publication	publication	NOUN
ap-1866	361	15	of	of	ADP
ap-1866	361	16	the	the	DET
ap-1866	361	17	bender	bender	NOUN
ap-1866	361	18	’s	’s	PART
ap-1866	361	19	and	and	CCONJ
ap-1866	361	20	boettcher	boettcher	PROPN
ap-1866	361	21	’s	’s	PART
ap-1866	361	22	letter	letter	NOUN
ap-1866	361	23	[	[	X
ap-1866	361	24	12	12	NUM
ap-1866	361	25	]	]	PUNCT
ap-1866	361	26	in	in	ADP
ap-1866	361	27	which	which	PRON
ap-1866	361	28	,	,	PUNCT
ap-1866	361	29	for	for	ADP
ap-1866	361	30	certain	certain	ADJ
ap-1866	361	31	friendly	friendly	ADJ
ap-1866	361	32	ode	ode	ADJ
ap-1866	361	33	hamiltonians	hamiltonian	NOUN
ap-1866	361	34	h	h	NOUN
ap-1866	361	35	=	=	NOUN
ap-1866	362	1	4	4	NUM
ap-1866	362	2	+	+	NUM
ap-1866	362	3	v	v	NOUN
ap-1866	362	4	(	(	PUNCT
ap-1866	362	5	x	x	X
ap-1866	362	6	)	)	PUNCT
ap-1866	362	7	the	the	DET
ap-1866	362	8	traditional	traditional	ADJ
ap-1866	362	9	choice	choice	NOUN
ap-1866	362	10	of	of	ADP
ap-1866	362	11	space	space	NOUN
ap-1866	362	12	h(f	h(f	NOUN
ap-1866	362	13	)	)	PUNCT
ap-1866	363	1	=	=	SYM
ap-1866	363	2	l2(r	l2(r	NOUN
ap-1866	363	3	)	)	PUNCT
ap-1866	363	4	was	be	AUX
ap-1866	363	5	found	find	VERB
ap-1866	363	6	unnecessarily	unnecessarily	ADV
ap-1866	363	7	over	over	ADV
ap-1866	363	8	-	-	PUNCT
ap-1866	363	9	restrictive	restrictive	ADJ
ap-1866	363	10	(	(	PUNCT
ap-1866	363	11	the	the	DET
ap-1866	363	12	whole	whole	ADJ
ap-1866	363	13	story	story	NOUN
ap-1866	363	14	may	may	AUX
ap-1866	363	15	be	be	AUX
ap-1866	363	16	found	find	VERB
ap-1866	363	17	described	describe	VERB
ap-1866	363	18	in	in	ADP
ap-1866	363	19	[	[	X
ap-1866	363	20	4	4	NUM
ap-1866	363	21	]	]	NUM
ap-1866	363	22	)	)	PUNCT
ap-1866	363	23	.	.	PUNCT
ap-1866	364	1	the	the	DET
ap-1866	364	2	net	net	ADJ
ap-1866	364	3	result	result	NOUN
ap-1866	364	4	of	of	ADP
ap-1866	364	5	the	the	DET
ap-1866	364	6	new	new	ADJ
ap-1866	364	7	developments	development	NOUN
ap-1866	364	8	may	may	AUX
ap-1866	364	9	be	be	AUX
ap-1866	364	10	summarized	summarize	VERB
ap-1866	364	11	as	as	ADP
ap-1866	364	12	an	an	DET
ap-1866	364	13	acceptability	acceptability	NOUN
ap-1866	364	14	of	of	ADP
ap-1866	364	15	a	a	DET
ap-1866	364	16	less	less	ADV
ap-1866	364	17	restricted	restricted	ADJ
ap-1866	364	18	input	input	NOUN
ap-1866	364	19	dynamical	dynamical	ADJ
ap-1866	364	20	information	information	NOUN
ap-1866	364	21	about	about	ADP
ap-1866	364	22	the	the	DET
ap-1866	364	23	system	system	NOUN
ap-1866	364	24	.	.	PUNCT
ap-1866	365	1	in	in	ADP
ap-1866	365	2	other	other	ADJ
ap-1866	365	3	words	word	NOUN
ap-1866	365	4	,	,	PUNCT
ap-1866	365	5	the	the	DET
ap-1866	365	6	use	use	NOUN
ap-1866	365	7	of	of	ADP
ap-1866	365	8	the	the	DET
ap-1866	365	9	friendly	friendly	ADJ
ap-1866	365	10	spaceh(f	spaceh(f	NOUN
ap-1866	365	11	)	)	PUNCT
ap-1866	365	12	in	in	ADP
ap-1866	365	13	combination	combination	NOUN
ap-1866	365	14	with	with	ADP
ap-1866	365	15	a	a	DET
ap-1866	365	16	friendly	friendly	ADJ
ap-1866	365	17	hamiltonian	hamiltonian	ADJ
ap-1866	365	18	h	h	NOUN
ap-1866	366	1	=	=	PUNCT
ap-1866	366	2	h†	h†	PROPN
ap-1866	366	3	has	have	AUX
ap-1866	366	4	been	be	AUX
ap-1866	366	5	found	find	VERB
ap-1866	366	6	to	to	PART
ap-1866	366	7	be	be	AUX
ap-1866	366	8	a	a	DET
ap-1866	366	9	theoretician	theoretician	NOUN
ap-1866	366	10	’s	’s	PART
ap-1866	366	11	luxury	luxury	NOUN
ap-1866	366	12	.	.	PUNCT
ap-1866	367	1	the	the	DET
ap-1866	367	2	need	need	NOUN
ap-1866	367	3	arose	arise	VERB
ap-1866	367	4	for	for	ADP
ap-1866	367	5	a	a	DET
ap-1866	367	6	less	less	ADV
ap-1866	367	7	restrictive	restrictive	ADJ
ap-1866	367	8	class	class	NOUN
ap-1866	367	9	of	of	ADP
ap-1866	367	10	standard	standard	ADJ
ap-1866	367	11	hilbert	hilbert	NOUN
ap-1866	367	12	spaces	space	NOUN
ap-1866	367	13	h(s	h(s	PROPN
ap-1866	367	14	)	)	PUNCT
ap-1866	367	15	which	which	PRON
ap-1866	367	16	would	would	AUX
ap-1866	367	17	differ	differ	VERB
ap-1866	367	18	from	from	ADP
ap-1866	367	19	their	their	PRON
ap-1866	367	20	“	"	PUNCT
ap-1866	367	21	false	false	ADJ
ap-1866	367	22	”	"	PUNCT
ap-1866	367	23	predecessor	predecessor	NOUN
ap-1866	367	24	h(f	h(f	PROPN
ap-1866	367	25	)	)	PUNCT
ap-1866	367	26	by	by	ADP
ap-1866	367	27	a	a	DET
ap-1866	367	28	nontrivial	nontrivial	ADJ
ap-1866	367	29	inner	inner	ADJ
ap-1866	367	30	-	-	PUNCT
ap-1866	367	31	product	product	NOUN
ap-1866	367	32	metric	metric	ADJ
ap-1866	367	33	θ	θ	PROPN
ap-1866	367	34	6=	6=	PROPN
ap-1866	367	35	i.	i.	PROPN
ap-1866	367	36	one	one	NUM
ap-1866	367	37	need	need	AUX
ap-1866	367	38	not	not	PART
ap-1866	367	39	even	even	ADV
ap-1866	367	40	abandon	abandon	VERB
ap-1866	367	41	the	the	DET
ap-1866	367	42	most	most	ADV
ap-1866	367	43	common	common	ADJ
ap-1866	367	44	a	a	DET
ap-1866	367	45	priori	priori	ADJ
ap-1866	367	46	selection	selection	NOUN
ap-1866	367	47	of	of	ADP
ap-1866	367	48	the	the	DET
ap-1866	367	49	friendly	friendly	ADJ
ap-1866	367	50	hilbert	hilbert	NOUN
ap-1866	367	51	space	space	NOUN
ap-1866	367	52	h(f	h(f	PROPN
ap-1866	367	53	)	)	PUNCT
ap-1866	367	54	of	of	ADP
ap-1866	367	55	the	the	DET
ap-1866	367	56	ket	ket	PROPN
ap-1866	367	57	vectors	vector	NOUN
ap-1866	367	58	|ψ	|ψ	VERB
ap-1866	367	59	〉	〉	NOUN
ap-1866	367	60	with	with	ADP
ap-1866	367	61	their	their	PRON
ap-1866	367	62	special	special	ADJ
ap-1866	367	63	dirac	dirac	NOUN
ap-1866	367	64	duals	dual	NOUN
ap-1866	367	65	(	(	PUNCT
ap-1866	367	66	i.e.	i.e.	X
ap-1866	367	67	,	,	PUNCT
ap-1866	367	68	roughly	roughly	ADV
ap-1866	367	69	speaking	speak	VERB
ap-1866	367	70	,	,	PUNCT
ap-1866	367	71	with	with	ADP
ap-1866	367	72	the	the	DET
ap-1866	367	73	transposed	transpose	VERB
ap-1866	367	74	and	and	CCONJ
ap-1866	367	75	complex	complex	ADJ
ap-1866	367	76	conjugate	conjugate	ADJ
ap-1866	367	77	bra	bra	NOUN
ap-1866	367	78	vectors	vector	NOUN
ap-1866	367	79	〈	〈	NOUN
ap-1866	367	80	ψ|	ψ|	ADV
ap-1866	367	81	)	)	PUNCT
ap-1866	367	82	yielding	yield	VERB
ap-1866	367	83	the	the	DET
ap-1866	367	84	dirac	dirac	NOUN
ap-1866	367	85	’s	’s	PART
ap-1866	367	86	inner	inner	ADJ
ap-1866	367	87	product	product	NOUN
ap-1866	367	88	〈	〈	PROPN
ap-1866	367	89	ψ1|ψ2	ψ1|ψ2	PROPN
ap-1866	367	90	〉	〉	PROPN
ap-1866	368	1	=	=	SYM
ap-1866	368	2	〈	〈	NOUN
ap-1866	368	3	ψ1|ψ2〉(f	ψ1|ψ2〉(f	X
ap-1866	368	4	)	)	PUNCT
ap-1866	368	5	.	.	PUNCT
ap-1866	369	1	what	what	PRON
ap-1866	369	2	is	be	AUX
ap-1866	369	3	new	new	ADJ
ap-1866	369	4	is	be	AUX
ap-1866	369	5	only	only	ADV
ap-1866	369	6	that	that	SCONJ
ap-1866	369	7	such	such	DET
ap-1866	369	8	a	a	DET
ap-1866	369	9	pre	pre	ADJ
ap-1866	369	10	-	-	VERB
ap-1866	369	11	selected	selected	ADJ
ap-1866	369	12	,	,	PUNCT
ap-1866	369	13	f	f	PROPN
ap-1866	369	14	-superscripted	-superscripted	ADJ
ap-1866	369	15	hilbert	hilbert	NOUN
ap-1866	369	16	space	space	NOUN
ap-1866	369	17	need	need	AUX
ap-1866	369	18	not	not	PART
ap-1866	369	19	necessarily	necessarily	ADV
ap-1866	369	20	retain	retain	VERB
ap-1866	369	21	the	the	DET
ap-1866	369	22	usual	usual	ADJ
ap-1866	369	23	probabilistic	probabilistic	ADJ
ap-1866	369	24	interpretation	interpretation	NOUN
ap-1866	369	25	.	.	PUNCT
ap-1866	370	1	one	one	NOUN
ap-1866	370	2	acquires	acquire	VERB
ap-1866	370	3	an	an	DET
ap-1866	370	4	enhanced	enhanced	ADJ
ap-1866	370	5	freedom	freedom	NOUN
ap-1866	370	6	of	of	ADP
ap-1866	370	7	working	work	VERB
ap-1866	370	8	with	with	ADP
ap-1866	370	9	a	a	DET
ap-1866	370	10	sufficiently	sufficiently	ADV
ap-1866	370	11	friendly	friendly	ADJ
ap-1866	370	12	form	form	NOUN
ap-1866	370	13	of	of	ADP
ap-1866	370	14	the	the	DET
ap-1866	370	15	input	input	NOUN
ap-1866	370	16	hamiltonian	hamiltonian	ADJ
ap-1866	370	17	h	h	NOUN
ap-1866	370	18	,	,	PUNCT
ap-1866	370	19	checking	check	VERB
ap-1866	370	20	solely	solely	ADV
ap-1866	370	21	the	the	DET
ap-1866	370	22	reality	reality	NOUN
ap-1866	370	23	of	of	ADP
ap-1866	370	24	its	its	PRON
ap-1866	370	25	spectrum	spectrum	NOUN
ap-1866	370	26	.	.	PUNCT
ap-1866	371	1	thus	thus	ADV
ap-1866	371	2	,	,	PUNCT
ap-1866	371	3	one	one	PRON
ap-1866	371	4	is	be	AUX
ap-1866	371	5	allowed	allow	VERB
ap-1866	371	6	to	to	PART
ap-1866	371	7	admit	admit	VERB
ap-1866	371	8	that	that	SCONJ
ap-1866	371	9	h	h	NOUN
ap-1866	371	10	6=	6=	NUM
ap-1866	371	11	h†	h†	ADV
ap-1866	371	12	in	in	ADP
ap-1866	371	13	h(f	h(f	PROPN
ap-1866	371	14	)	)	PUNCT
ap-1866	371	15	.	.	PUNCT
ap-1866	372	1	one	one	PRON
ap-1866	372	2	must	must	AUX
ap-1866	372	3	only	only	ADV
ap-1866	372	4	introduce	introduce	VERB
ap-1866	372	5	,	,	PUNCT
ap-1866	372	6	on	on	ADP
ap-1866	372	7	some	some	DET
ap-1866	372	8	independent	independent	ADJ
ap-1866	372	9	initial	initial	ADJ
ap-1866	372	10	heuristic	heuristic	ADJ
ap-1866	372	11	grounds	ground	NOUN
ap-1866	372	12	,	,	PUNCT
ap-1866	372	13	the	the	DET
ap-1866	372	14	amended	amend	VERB
ap-1866	372	15	hilbert	hilbert	NOUN
ap-1866	372	16	space	space	NOUN
ap-1866	372	17	h(s	h(s	PROPN
ap-1866	372	18	)	)	PUNCT
ap-1866	372	19	.	.	PUNCT
ap-1866	373	1	for	for	ADP
ap-1866	373	2	such	such	DET
ap-1866	373	3	a	a	DET
ap-1866	373	4	purpose	purpose	NOUN
ap-1866	373	5	it	it	PRON
ap-1866	373	6	is	be	AUX
ap-1866	373	7	sufficient	sufficient	ADJ
ap-1866	373	8	to	to	PART
ap-1866	373	9	keep	keep	VERB
ap-1866	373	10	the	the	DET
ap-1866	373	11	same	same	ADJ
ap-1866	373	12	ket	ket	NOUN
ap-1866	373	13	-	-	PUNCT
ap-1866	373	14	vector	vector	NOUN
ap-1866	373	15	space	space	NOUN
ap-1866	373	16	and	and	CCONJ
ap-1866	373	17	just	just	ADV
ap-1866	373	18	to	to	PART
ap-1866	373	19	endow	endow	VERB
ap-1866	373	20	it	it	PRON
ap-1866	373	21	with	with	ADP
ap-1866	373	22	some	some	DET
ap-1866	373	23	sufficiently	sufficiently	ADV
ap-1866	373	24	general	general	ADJ
ap-1866	373	25	and	and	CCONJ
ap-1866	373	26	hamiltonian	hamiltonian	ADJ
ap-1866	373	27	-	-	PUNCT
ap-1866	373	28	adapted	adapt	VERB
ap-1866	373	29	(	(	PUNCT
ap-1866	373	30	i.e.	i.e.	X
ap-1866	373	31	,	,	PUNCT
ap-1866	373	32	hamiltonian	hamiltonian	ADJ
ap-1866	373	33	-	-	PUNCT
ap-1866	373	34	hermitizing	hermitizing	NOUN
ap-1866	373	35	)	)	PUNCT
ap-1866	373	36	inner	inner	ADJ
ap-1866	373	37	product	product	NOUN
ap-1866	373	38	(	(	PUNCT
ap-1866	373	39	1	1	X
ap-1866	373	40	)	)	PUNCT
ap-1866	374	1	[	[	X
ap-1866	374	2	2	2	NUM
ap-1866	374	3	]	]	PUNCT
ap-1866	374	4	.	.	PUNCT
ap-1866	375	1	this	this	PRON
ap-1866	375	2	is	be	AUX
ap-1866	375	3	the	the	DET
ap-1866	375	4	very	very	ADJ
ap-1866	375	5	core	core	NOUN
ap-1866	375	6	of	of	ADP
ap-1866	375	7	innovation	innovation	NOUN
ap-1866	375	8	.	.	PUNCT
ap-1866	376	1	in	in	ADP
ap-1866	376	2	the	the	DET
ap-1866	376	3	physical	physical	ADJ
ap-1866	376	4	hilbert	hilbert	NOUN
ap-1866	376	5	space	space	NOUN
ap-1866	376	6	h(s	h(s	PROPN
ap-1866	376	7	)	)	PUNCT
ap-1866	376	8	the	the	DET
ap-1866	376	9	unitarity	unitarity	NOUN
ap-1866	376	10	of	of	ADP
ap-1866	376	11	the	the	DET
ap-1866	376	12	evolution	evolution	NOUN
ap-1866	376	13	of	of	ADP
ap-1866	376	14	the	the	DET
ap-1866	376	15	system	system	NOUN
ap-1866	376	16	must	must	AUX
ap-1866	376	17	remain	remain	VERB
ap-1866	376	18	guaranteed	guarantee	VERB
ap-1866	376	19	,	,	PUNCT
ap-1866	376	20	as	as	ADP
ap-1866	376	21	usual	usual	ADJ
ap-1866	376	22	,	,	PUNCT
ap-1866	376	23	by	by	ADP
ap-1866	376	24	the	the	DET
ap-1866	376	25	hermiticity	hermiticity	NOUN
ap-1866	376	26	of	of	ADP
ap-1866	376	27	our	our	PRON
ap-1866	376	28	hamiltonian	hamiltonian	NOUN
ap-1866	376	29	in	in	ADP
ap-1866	376	30	this	this	DET
ap-1866	376	31	space	space	NOUN
ap-1866	376	32	,	,	PUNCT
ap-1866	376	33	i.e.	i.e.	X
ap-1866	376	34	,	,	PUNCT
ap-1866	376	35	by	by	ADP
ap-1866	376	36	a	a	DET
ap-1866	376	37	hidden	hide	VERB
ap-1866	376	38	hermiticity	hermiticity	NOUN
ap-1866	376	39	condition	condition	NOUN
ap-1866	376	40	h	h	NOUN
ap-1866	376	41	=	=	SYM
ap-1866	376	42	θ−1h†θ	θ−1h†θ	PROPN
ap-1866	376	43	:	:	PUNCT
ap-1866	376	44	=	=	SYM
ap-1866	376	45	h‡	h‡	ADJ
ap-1866	376	46	(	(	PUNCT
ap-1866	376	47	23	23	NUM
ap-1866	376	48	)	)	PUNCT
ap-1866	376	49	alias	alia	NOUN
ap-1866	376	50	crypto	crypto	ADJ
ap-1866	376	51	-	-	ADJ
ap-1866	376	52	hermititicity	hermititicity	NOUN
ap-1866	376	53	condition	condition	NOUN
ap-1866	377	1	[	[	X
ap-1866	377	2	1	1	NUM
ap-1866	377	3	]	]	PUNCT
ap-1866	377	4	.	.	PUNCT
ap-1866	378	1	in	in	ADP
ap-1866	378	2	the	the	DET
ap-1866	378	3	special	special	ADJ
ap-1866	378	4	case	case	NOUN
ap-1866	378	5	of	of	ADP
ap-1866	378	6	finite	finite	ADJ
ap-1866	378	7	matrices	matrix	NOUN
ap-1866	378	8	one	one	PRON
ap-1866	378	9	speaks	speak	VERB
ap-1866	378	10	about	about	ADP
ap-1866	378	11	the	the	DET
ap-1866	378	12	quasihermiticity	quasihermiticity	NOUN
ap-1866	378	13	condition	condition	NOUN
ap-1866	378	14	.	.	PUNCT
ap-1866	379	1	unfortunately	unfortunately	ADV
ap-1866	379	2	,	,	PUNCT
ap-1866	379	3	this	this	DET
ap-1866	379	4	name	name	NOUN
ap-1866	379	5	becomes	become	VERB
ap-1866	379	6	ambiguous	ambiguous	ADJ
ap-1866	379	7	and	and	CCONJ
ap-1866	379	8	potentially	potentially	ADV
ap-1866	379	9	misleading	misleading	ADJ
ap-1866	379	10	whenever	whenever	SCONJ
ap-1866	379	11	one	one	PRON
ap-1866	379	12	starts	start	VERB
ap-1866	379	13	contemplating	contemplate	VERB
ap-1866	379	14	certain	certain	ADJ
ap-1866	379	15	sufficiently	sufficiently	ADV
ap-1866	379	16	wild	wild	ADJ
ap-1866	379	17	operators	operator	NOUN
ap-1866	379	18	in	in	ADP
ap-1866	379	19	general	general	ADJ
ap-1866	379	20	hilbert	hilbert	PROPN
ap-1866	379	21	spaces	space	NOUN
ap-1866	379	22	[	[	X
ap-1866	379	23	16	16	NUM
ap-1866	379	24	]	]	PUNCT
ap-1866	379	25	.	.	PUNCT
ap-1866	380	1	it	it	PRON
ap-1866	380	2	is	be	AUX
ap-1866	380	3	rarely	rarely	ADV
ap-1866	380	4	emphasized	emphasize	VERB
ap-1866	380	5	(	(	PUNCT
ap-1866	380	6	as	as	SCONJ
ap-1866	380	7	we	we	PRON
ap-1866	380	8	did	do	VERB
ap-1866	380	9	in	in	ADP
ap-1866	380	10	[	[	X
ap-1866	380	11	32	32	NUM
ap-1866	380	12	]	]	PUNCT
ap-1866	380	13	)	)	PUNCT
ap-1866	380	14	that	that	SCONJ
ap-1866	380	15	the	the	DET
ap-1866	380	16	choice	choice	NOUN
ap-1866	380	17	of	of	ADP
ap-1866	380	18	the	the	DET
ap-1866	380	19	metric	metric	NOUN
ap-1866	380	20	remains	remain	VERB
ap-1866	380	21	an	an	DET
ap-1866	380	22	inseparable	inseparable	ADJ
ap-1866	380	23	part	part	NOUN
ap-1866	380	24	of	of	ADP
ap-1866	380	25	our	our	PRON
ap-1866	380	26	model	model	ADJ
ap-1866	380	27	-	-	PUNCT
ap-1866	380	28	building	building	NOUN
ap-1866	380	29	duty	duty	NOUN
ap-1866	380	30	even	even	ADV
ap-1866	380	31	if	if	SCONJ
ap-1866	380	32	our	our	PRON
ap-1866	380	33	hamiltonian	hamiltonian	NOUN
ap-1866	380	34	happens	happen	VERB
ap-1866	380	35	to	to	PART
ap-1866	380	36	be	be	AUX
ap-1866	380	37	hermitian	hermitian	ADJ
ap-1866	380	38	,	,	PUNCT
ap-1866	380	39	incidentally	incidentally	ADV
ap-1866	380	40	,	,	PUNCT
ap-1866	380	41	also	also	ADV
ap-1866	380	42	in	in	ADP
ap-1866	380	43	the	the	DET
ap-1866	380	44	unphysical	unphysical	ADJ
ap-1866	380	45	initial	initial	ADJ
ap-1866	380	46	hilbert	hilbert	NOUN
ap-1866	380	47	space	space	NOUN
ap-1866	380	48	h(f	h(f	PROPN
ap-1866	380	49	)	)	PUNCT
ap-1866	380	50	.	.	PUNCT
ap-1866	381	1	irrespective	irrespective	ADV
ap-1866	381	2	of	of	ADP
ap-1866	381	3	the	the	DET
ap-1866	381	4	hermiticity	hermiticity	NOUN
ap-1866	381	5	or	or	CCONJ
ap-1866	381	6	non	non	ADJ
ap-1866	381	7	-	-	NOUN
ap-1866	381	8	hermiticity	hermiticity	NOUN
ap-1866	381	9	of	of	ADP
ap-1866	381	10	h	h	PROPN
ap-1866	381	11	in	in	ADP
ap-1866	381	12	auxiliary	auxiliary	PROPN
ap-1866	381	13	h(f	h(f	PROPN
ap-1866	381	14	)	)	PUNCT
ap-1866	381	15	,	,	PUNCT
ap-1866	381	16	one	one	PRON
ap-1866	381	17	must	must	AUX
ap-1866	381	18	address	address	VERB
ap-1866	381	19	the	the	DET
ap-1866	381	20	problem	problem	NOUN
ap-1866	381	21	of	of	ADP
ap-1866	381	22	the	the	DET
ap-1866	381	23	independence	independence	NOUN
ap-1866	381	24	of	of	ADP
ap-1866	381	25	the	the	DET
ap-1866	381	26	dynamical	dynamical	ADJ
ap-1866	381	27	input	input	NOUN
ap-1866	381	28	information	information	NOUN
ap-1866	381	29	carried	carry	VERB
ap-1866	381	30	by	by	ADP
ap-1866	381	31	the	the	DET
ap-1866	381	32	metric	metric	ADJ
ap-1866	381	33	θ	θ	PROPN
ap-1866	381	34	.	.	PUNCT
ap-1866	382	1	only	only	ADV
ap-1866	382	2	the	the	DET
ap-1866	382	3	simultaneous	simultaneous	ADJ
ap-1866	382	4	specification	specification	NOUN
ap-1866	382	5	of	of	ADP
ap-1866	382	6	the	the	DET
ap-1866	382	7	operator	operator	NOUN
ap-1866	382	8	pair	pair	NOUN
ap-1866	382	9	of	of	ADP
ap-1866	382	10	h	h	NOUN
ap-1866	382	11	and	and	CCONJ
ap-1866	382	12	θ	θ	PROPN
ap-1866	382	13	connected	connect	VERB
ap-1866	382	14	by	by	ADP
ap-1866	382	15	constraint	constraint	NOUN
ap-1866	382	16	(	(	PUNCT
ap-1866	382	17	23	23	NUM
ap-1866	382	18	)	)	PUNCT
ap-1866	382	19	defines	define	VERB
ap-1866	382	20	physical	physical	ADJ
ap-1866	382	21	predictions	prediction	NOUN
ap-1866	382	22	in	in	ADP
ap-1866	382	23	consistent	consistent	ADJ
ap-1866	382	24	manner	manner	NOUN
ap-1866	382	25	.	.	PUNCT
ap-1866	383	1	in	in	ADP
ap-1866	383	2	this	this	DET
ap-1866	383	3	sense	sense	NOUN
ap-1866	383	4	,	,	PUNCT
ap-1866	383	5	the	the	DET
ap-1866	383	6	concept	concept	NOUN
ap-1866	383	7	of	of	ADP
ap-1866	383	8	solvability	solvability	NOUN
ap-1866	383	9	must	must	AUX
ap-1866	383	10	necessarily	necessarily	ADV
ap-1866	383	11	involve	involve	VERB
ap-1866	383	12	also	also	ADV
ap-1866	383	13	the	the	DET
ap-1866	383	14	simplicity	simplicity	NOUN
ap-1866	383	15	of	of	ADP
ap-1866	383	16	θ	θ	PROPN
ap-1866	383	17	.	.	PUNCT
ap-1866	384	1	acknowledgements	acknowledgement	NOUN
ap-1866	384	2	this	this	DET
ap-1866	384	3	work	work	NOUN
ap-1866	384	4	has	have	AUX
ap-1866	384	5	been	be	AUX
ap-1866	384	6	supported	support	VERB
ap-1866	384	7	by	by	ADP
ap-1866	384	8	gačr	gačr	NOUN
ap-1866	384	9	grant	grant	NOUN
ap-1866	384	10	no	no	INTJ
ap-1866	384	11	.	.	PUNCT
ap-1866	385	1	p203/11/1433	p203/11/1433	NOUN
ap-1866	385	2	.	.	PUNCT
ap-1866	386	1	references	reference	NOUN
ap-1866	386	2	[	[	X
ap-1866	386	3	1	1	NUM
ap-1866	386	4	]	]	PUNCT
ap-1866	386	5	m.	m.	NOUN
ap-1866	386	6	znojil	znojil	PROPN
ap-1866	386	7	.	.	PUNCT
ap-1866	387	1	three	three	NUM
ap-1866	387	2	-	-	PUNCT
ap-1866	387	3	hilbert	hilbert	NOUN
ap-1866	387	4	-	-	PUNCT
ap-1866	387	5	space	space	NOUN
ap-1866	387	6	formulation	formulation	NOUN
ap-1866	387	7	of	of	ADP
ap-1866	387	8	quantum	quantum	ADJ
ap-1866	387	9	mechanics	mechanic	NOUN
ap-1866	387	10	.	.	PUNCT
ap-1866	388	1	sigma	sigma	PROPN
ap-1866	388	2	5	5	NUM
ap-1866	388	3	:	:	SYM
ap-1866	388	4	001	001	NUM
ap-1866	388	5	,	,	PUNCT
ap-1866	388	6	2009	2009	NUM
ap-1866	388	7	(	(	PUNCT
ap-1866	388	8	arxiv	arxiv	PROPN
ap-1866	388	9	overlay	overlay	NOUN
ap-1866	388	10	:	:	PUNCT
ap-1866	388	11	0901.0700	0901.0700	NOUN
ap-1866	388	12	)	)	PUNCT
ap-1866	388	13	.	.	PUNCT
ap-1866	389	1	[	[	X
ap-1866	389	2	2	2	NUM
ap-1866	389	3	]	]	PUNCT
ap-1866	389	4	f.	f.	PROPN
ap-1866	389	5	g.	g.	PROPN
ap-1866	389	6	scholtz	scholtz	PROPN
ap-1866	389	7	,	,	PUNCT
ap-1866	389	8	h.	h.	PROPN
ap-1866	389	9	b.	b.	PROPN
ap-1866	389	10	geyer	geyer	PROPN
ap-1866	389	11	and	and	CCONJ
ap-1866	389	12	f.	f.	PROPN
ap-1866	389	13	j.	j.	PROPN
ap-1866	389	14	w.	w.	PROPN
ap-1866	389	15	hahne	hahne	PROPN
ap-1866	389	16	.	.	PUNCT
ap-1866	390	1	quasihermitian	quasihermitian	PROPN
ap-1866	390	2	operators	operator	NOUN
ap-1866	390	3	in	in	ADP
ap-1866	390	4	quantum	quantum	ADJ
ap-1866	390	5	mechanics	mechanic	NOUN
ap-1866	390	6	and	and	CCONJ
ap-1866	390	7	the	the	DET
ap-1866	390	8	variational	variational	ADJ
ap-1866	390	9	principle	principle	NOUN
ap-1866	390	10	.	.	PUNCT
ap-1866	391	1	ann	ann	PROPN
ap-1866	391	2	phys	phys	PROPN
ap-1866	391	3	(	(	PUNCT
ap-1866	391	4	ny	ny	NOUN
ap-1866	391	5	)	)	PUNCT
ap-1866	391	6	213	213	NUM
ap-1866	391	7	:	:	PUNCT
ap-1866	391	8	74–101	74–101	NUM
ap-1866	391	9	,	,	PUNCT
ap-1866	391	10	1992	1992	NUM
ap-1866	391	11	.	.	PUNCT
ap-1866	392	1	[	[	X
ap-1866	392	2	3	3	X
ap-1866	392	3	]	]	X
ap-1866	392	4	d.	d.	PROPN
ap-1866	392	5	bessis	bessis	NOUN
ap-1866	392	6	,	,	PUNCT
ap-1866	392	7	private	private	ADJ
ap-1866	392	8	communication	communication	NOUN
ap-1866	392	9	(	(	PUNCT
ap-1866	392	10	2002	2002	NUM
ap-1866	392	11	)	)	PUNCT
ap-1866	392	12	.	.	PUNCT
ap-1866	393	1	[	[	X
ap-1866	393	2	4	4	NUM
ap-1866	393	3	]	]	X
ap-1866	393	4	c.	c.	PROPN
ap-1866	393	5	m.	m.	PROPN
ap-1866	393	6	bender	bender	PROPN
ap-1866	393	7	.	.	PUNCT
ap-1866	394	1	making	make	VERB
ap-1866	394	2	sense	sense	NOUN
ap-1866	394	3	of	of	ADP
ap-1866	394	4	non	non	ADJ
ap-1866	394	5	-	-	ADJ
ap-1866	394	6	hermitian	hermitian	ADJ
ap-1866	394	7	hamiltonians	hamiltonian	NOUN
ap-1866	394	8	.	.	PUNCT
ap-1866	395	1	rep	rep	PROPN
ap-1866	395	2	prog	prog	PROPN
ap-1866	395	3	phys	phy	NOUN
ap-1866	395	4	70	70	NUM
ap-1866	395	5	:	:	PUNCT
ap-1866	395	6	947–1018	947–1018	NUM
ap-1866	395	7	,	,	PUNCT
ap-1866	395	8	2007	2007	NUM
ap-1866	395	9	.	.	PUNCT
ap-1866	396	1	[	[	X
ap-1866	396	2	5	5	NUM
ap-1866	396	3	]	]	PUNCT
ap-1866	396	4	a.	a.	NOUN
ap-1866	396	5	mostafazadeh	mostafazadeh	NOUN
ap-1866	396	6	.	.	PUNCT
ap-1866	397	1	metric	metric	ADJ
ap-1866	397	2	operator	operator	NOUN
ap-1866	397	3	in	in	ADP
ap-1866	397	4	pseudo	pseudo	NOUN
ap-1866	397	5	-	-	ADJ
ap-1866	397	6	hermitian	hermitian	ADJ
ap-1866	397	7	quantum	quantum	ADJ
ap-1866	397	8	mechanics	mechanic	NOUN
ap-1866	397	9	and	and	CCONJ
ap-1866	397	10	the	the	DET
ap-1866	397	11	imaginary	imaginary	ADJ
ap-1866	397	12	cubic	cubic	ADJ
ap-1866	397	13	potential	potential	NOUN
ap-1866	397	14	.	.	PUNCT
ap-1866	398	1	j	j	PROPN
ap-1866	398	2	phys	phy	NOUN
ap-1866	398	3	a	a	PRON
ap-1866	398	4	:	:	PUNCT
ap-1866	398	5	math	math	NOUN
ap-1866	398	6	gen	gen	PROPN
ap-1866	398	7	39	39	NUM
ap-1866	398	8	:	:	PUNCT
ap-1866	398	9	10171–10188	10171–10188	NUM
ap-1866	398	10	,	,	PUNCT
ap-1866	398	11	2006	2006	NUM
ap-1866	398	12	.	.	PUNCT
ap-1866	399	1	[	[	X
ap-1866	399	2	6	6	NUM
ap-1866	399	3	]	]	PUNCT
ap-1866	399	4	p.	p.	NOUN
ap-1866	399	5	siegl	siegl	PROPN
ap-1866	399	6	and	and	CCONJ
ap-1866	399	7	d.	d.	PROPN
ap-1866	399	8	krejcirik	krejcirik	PROPN
ap-1866	399	9	,	,	PUNCT
ap-1866	399	10	on	on	ADP
ap-1866	399	11	the	the	DET
ap-1866	399	12	metric	metric	ADJ
ap-1866	399	13	operator	operator	NOUN
ap-1866	399	14	for	for	ADP
ap-1866	399	15	the	the	DET
ap-1866	399	16	imaginary	imaginary	ADJ
ap-1866	399	17	cubic	cubic	ADJ
ap-1866	399	18	oscillator	oscillator	NOUN
ap-1866	399	19	.	.	PUNCT
ap-1866	400	1	phys	phy	NOUN
ap-1866	400	2	.	.	PUNCT
ap-1866	401	1	rev	rev	PROPN
ap-1866	401	2	.	.	PUNCT
ap-1866	402	1	d	d	ADP
ap-1866	402	2	86	86	NUM
ap-1866	402	3	:	:	SYM
ap-1866	402	4	121702(r	121702(r	NUM
ap-1866	402	5	)	)	PUNCT
ap-1866	402	6	,	,	PUNCT
ap-1866	402	7	2012	2012	NUM
ap-1866	402	8	.	.	PUNCT
ap-1866	403	1	[	[	X
ap-1866	403	2	7	7	X
ap-1866	403	3	]	]	X
ap-1866	403	4	n.	n.	PROPN
ap-1866	403	5	moiseyev	moiseyev	PROPN
ap-1866	403	6	.	.	PUNCT
ap-1866	404	1	non	non	ADJ
ap-1866	404	2	-	-	ADJ
ap-1866	404	3	hermitian	hermitian	ADJ
ap-1866	404	4	quantum	quantum	ADJ
ap-1866	404	5	mechanics	mechanic	NOUN
ap-1866	404	6	.	.	PUNCT
ap-1866	405	1	cup	cup	PROPN
ap-1866	405	2	,	,	PUNCT
ap-1866	405	3	cambridge	cambridge	PROPN
ap-1866	405	4	,	,	PUNCT
ap-1866	405	5	2011	2011	NUM
ap-1866	405	6	.	.	PUNCT
ap-1866	406	1	[	[	X
ap-1866	406	2	8	8	NUM
ap-1866	406	3	]	]	PUNCT
ap-1866	406	4	a.	a.	NOUN
ap-1866	406	5	mostafazadeh	mostafazadeh	PROPN
ap-1866	406	6	.	.	PUNCT
ap-1866	407	1	hilbert	hilbert	PROPN
ap-1866	407	2	space	space	NOUN
ap-1866	407	3	structures	structure	NOUN
ap-1866	407	4	on	on	ADP
ap-1866	407	5	the	the	DET
ap-1866	407	6	solution	solution	NOUN
ap-1866	407	7	space	space	NOUN
ap-1866	407	8	of	of	ADP
ap-1866	407	9	klein	klein	PROPN
ap-1866	407	10	-	-	PUNCT
ap-1866	407	11	gordon	gordon	PROPN
ap-1866	407	12	type	type	NOUN
ap-1866	407	13	evolution	evolution	NOUN
ap-1866	407	14	equations	equation	NOUN
ap-1866	407	15	.	.	PUNCT
ap-1866	408	1	class	class	NOUN
ap-1866	408	2	quantum	quantum	ADJ
ap-1866	408	3	grav	grav	NOUN
ap-1866	408	4	20	20	NUM
ap-1866	408	5	:	:	SYM
ap-1866	408	6	155	155	NUM
ap-1866	408	7	,	,	PUNCT
ap-1866	408	8	2003	2003	NUM
ap-1866	408	9	;	;	PUNCT
ap-1866	408	10	m.	m.	NOUN
ap-1866	408	11	znojil	znojil	PROPN
ap-1866	408	12	.	.	PUNCT
ap-1866	409	1	relativistic	relativistic	ADJ
ap-1866	409	2	supersymmetric	supersymmetric	ADJ
ap-1866	409	3	quantum	quantum	NOUN
ap-1866	409	4	mechanics	mechanic	NOUN
ap-1866	409	5	based	base	VERB
ap-1866	409	6	on	on	ADP
ap-1866	409	7	klein	klein	PROPN
ap-1866	409	8	-	-	PUNCT
ap-1866	409	9	gordon	gordon	PROPN
ap-1866	409	10	equation	equation	NOUN
ap-1866	409	11	.	.	PUNCT
ap-1866	410	1	j	j	PROPN
ap-1866	410	2	phys	phy	NOUN
ap-1866	410	3	a	a	PRON
ap-1866	410	4	:	:	PUNCT
ap-1866	410	5	math	math	NOUN
ap-1866	410	6	gen	gen	PROPN
ap-1866	410	7	37	37	NUM
ap-1866	410	8	:	:	SYM
ap-1866	410	9	9557–9571	9557–9571	NUM
ap-1866	410	10	,	,	PUNCT
ap-1866	410	11	2004	2004	NUM
ap-1866	410	12	;	;	PUNCT
ap-1866	410	13	v.	v.	ADP
ap-1866	410	14	jakubsky	jakubsky	PROPN
ap-1866	410	15	and	and	CCONJ
ap-1866	410	16	j.	j.	PROPN
ap-1866	410	17	smejkal	smejkal	PROPN
ap-1866	410	18	.	.	PUNCT
ap-1866	411	1	a	a	DET
ap-1866	411	2	positive	positive	ADJ
ap-1866	411	3	-	-	PUNCT
ap-1866	411	4	definite	definite	ADJ
ap-1866	411	5	scalar	scalar	ADJ
ap-1866	411	6	product	product	NOUN
ap-1866	411	7	for	for	ADP
ap-1866	411	8	free	free	ADJ
ap-1866	411	9	proca	proca	PROPN
ap-1866	411	10	particle	particle	NOUN
ap-1866	411	11	.	.	PUNCT
ap-1866	412	1	czech	czech	PROPN
ap-1866	412	2	j	j	PROPN
ap-1866	412	3	phys	phy	NOUN
ap-1866	412	4	56	56	NUM
ap-1866	412	5	:	:	SYM
ap-1866	412	6	985	985	NUM
ap-1866	412	7	,	,	PUNCT
ap-1866	412	8	2006	2006	NUM
ap-1866	412	9	;	;	PUNCT
ap-1866	412	10	f.	f.	PROPN
ap-1866	412	11	zamani	zamani	PROPN
ap-1866	412	12	and	and	CCONJ
ap-1866	412	13	a.	a.	NOUN
ap-1866	412	14	mostafazadeh	mostafazadeh	PROPN
ap-1866	412	15	.	.	PUNCT
ap-1866	413	1	quantum	quantum	ADJ
ap-1866	413	2	mechanics	mechanic	NOUN
ap-1866	413	3	of	of	ADP
ap-1866	413	4	proca	proca	PROPN
ap-1866	413	5	fields	field	NOUN
ap-1866	413	6	.	.	PUNCT
ap-1866	414	1	j	j	PROPN
ap-1866	414	2	math	math	NOUN
ap-1866	414	3	phys	phy	NOUN
ap-1866	414	4	50	50	NUM
ap-1866	414	5	:	:	SYM
ap-1866	414	6	052302	052302	NUM
ap-1866	414	7	,	,	PUNCT
ap-1866	414	8	2009	2009	NUM
ap-1866	414	9	.	.	PUNCT
ap-1866	415	1	[	[	X
ap-1866	415	2	9	9	NUM
ap-1866	415	3	]	]	X
ap-1866	415	4	c.	c.	PROPN
ap-1866	415	5	korff	korff	PROPN
ap-1866	415	6	,	,	PUNCT
ap-1866	415	7	r.	r.	PROPN
ap-1866	415	8	a.	a.	PROPN
ap-1866	415	9	weston	weston	PROPN
ap-1866	415	10	.	.	PUNCT
ap-1866	416	1	pt	pt	PROPN
ap-1866	416	2	symmetry	symmetry	NOUN
ap-1866	416	3	on	on	ADP
ap-1866	416	4	the	the	DET
ap-1866	416	5	lattice	lattice	NOUN
ap-1866	416	6	:	:	PUNCT
ap-1866	416	7	the	the	DET
ap-1866	416	8	quantum	quantum	NOUN
ap-1866	416	9	group	group	NOUN
ap-1866	416	10	invariant	invariant	ADJ
ap-1866	416	11	xxz	xxz	NOUN
ap-1866	416	12	spin	spin	NOUN
ap-1866	416	13	-	-	PUNCT
ap-1866	416	14	chain	chain	NOUN
ap-1866	416	15	.	.	PUNCT
ap-1866	417	1	j	j	PROPN
ap-1866	417	2	phys	phy	NOUN
ap-1866	417	3	a	a	DET
ap-1866	417	4	:	:	PUNCT
ap-1866	417	5	math	math	NOUN
ap-1866	417	6	theor	theor	PROPN
ap-1866	417	7	40	40	NUM
ap-1866	417	8	:	:	PUNCT
ap-1866	417	9	8845–8872	8845–8872	NUM
ap-1866	417	10	,	,	PUNCT
ap-1866	417	11	2007	2007	NUM
ap-1866	417	12	;	;	PUNCT
ap-1866	417	13	r.	r.	PROPN
ap-1866	417	14	f.	f.	PROPN
ap-1866	417	15	bishop	bishop	PROPN
ap-1866	417	16	and	and	CCONJ
ap-1866	417	17	p.	p.	PROPN
ap-1866	417	18	h.	h.	PROPN
ap-1866	417	19	y.	y.	PROPN
ap-1866	417	20	li	li	PROPN
ap-1866	417	21	.	.	PROPN
ap-1866	417	22	coupled	couple	VERB
ap-1866	417	23	-	-	PUNCT
ap-1866	417	24	cluster	cluster	NOUN
ap-1866	417	25	method	method	NOUN
ap-1866	417	26	:	:	PUNCT
ap-1866	417	27	a	a	DET
ap-1866	417	28	lattice	lattice	ADJ
ap-1866	417	29	-	-	PUNCT
ap-1866	417	30	path	path	NOUN
ap-1866	417	31	-	-	PUNCT
ap-1866	417	32	based	base	VERB
ap-1866	417	33	subsystem	subsystem	NOUN
ap-1866	417	34	approximation	approximation	NOUN
ap-1866	417	35	scheme	scheme	NOUN
ap-1866	417	36	for	for	ADP
ap-1866	417	37	quantum	quantum	NOUN
ap-1866	417	38	lattice	lattice	NOUN
ap-1866	417	39	models	model	NOUN
ap-1866	417	40	.	.	PUNCT
ap-1866	418	1	phys	phy	NOUN
ap-1866	418	2	rev	rev	VERB
ap-1866	418	3	a	a	DET
ap-1866	418	4	83	83	NUM
ap-1866	418	5	:	:	SYM
ap-1866	418	6	042111	042111	NUM
ap-1866	418	7	,	,	PUNCT
ap-1866	418	8	2011	2011	NUM
ap-1866	418	9	.	.	PUNCT
ap-1866	419	1	481	481	NUM
ap-1866	419	2	m.	m.	NOUN
ap-1866	419	3	znojil	znojil	PROPN
ap-1866	419	4	acta	acta	PROPN
ap-1866	419	5	polytechnica	polytechnica	PROPN
ap-1866	419	6	[	[	X
ap-1866	419	7	10	10	NUM
ap-1866	419	8	]	]	PUNCT
ap-1866	419	9	m.	m.	NOUN
ap-1866	419	10	znojil	znojil	NOUN
ap-1866	419	11	.	.	PUNCT
ap-1866	420	1	quantum	quantum	PROPN
ap-1866	420	2	big	big	PROPN
ap-1866	420	3	bang	bang	NOUN
ap-1866	420	4	without	without	ADP
ap-1866	420	5	fine	fine	ADV
ap-1866	420	6	-	-	PUNCT
ap-1866	420	7	tuning	tuning	NOUN
ap-1866	420	8	in	in	ADP
ap-1866	420	9	a	a	DET
ap-1866	420	10	toy	toy	NOUN
ap-1866	420	11	-	-	PUNCT
ap-1866	420	12	model	model	NOUN
ap-1866	420	13	.	.	PUNCT
ap-1866	421	1	j	j	PROPN
ap-1866	421	2	phys	phys	PROPN
ap-1866	421	3	:	:	PUNCT
ap-1866	421	4	conf	conf	NOUN
ap-1866	421	5	ser	ser	NOUN
ap-1866	421	6	343	343	NUM
ap-1866	421	7	:	:	PUNCT
ap-1866	421	8	012136	012136	NUM
ap-1866	421	9	,	,	PUNCT
ap-1866	421	10	2012	2012	NUM
ap-1866	421	11	.	.	PUNCT
ap-1866	422	1	[	[	X
ap-1866	422	2	11	11	NUM
ap-1866	422	3	]	]	PUNCT
ap-1866	422	4	t.	t.	PROPN
ap-1866	422	5	kato	kato	PROPN
ap-1866	422	6	.	.	PUNCT
ap-1866	422	7	perturbation	perturbation	NOUN
ap-1866	422	8	theory	theory	NOUN
ap-1866	422	9	for	for	ADP
ap-1866	422	10	linear	linear	PROPN
ap-1866	422	11	operators	operator	NOUN
ap-1866	422	12	.	.	PUNCT
ap-1866	423	1	springer	springer	NOUN
ap-1866	423	2	,	,	PUNCT
ap-1866	423	3	berlin	berlin	PROPN
ap-1866	423	4	,	,	PUNCT
ap-1866	423	5	1966	1966	NUM
ap-1866	423	6	.	.	PUNCT
ap-1866	424	1	[	[	X
ap-1866	424	2	12	12	NUM
ap-1866	424	3	]	]	X
ap-1866	424	4	c.	c.	PROPN
ap-1866	424	5	m.	m.	PROPN
ap-1866	424	6	bender	bender	PROPN
ap-1866	424	7	and	and	CCONJ
ap-1866	424	8	s.	s.	PROPN
ap-1866	424	9	boettcher	boettcher	PROPN
ap-1866	424	10	.	.	PUNCT
ap-1866	425	1	real	real	ADJ
ap-1866	425	2	spectra	spectra	NOUN
ap-1866	425	3	in	in	ADP
ap-1866	425	4	non	non	ADJ
ap-1866	425	5	-	-	ADJ
ap-1866	425	6	hermitian	hermitian	ADJ
ap-1866	425	7	hamiltonians	hamiltonian	NOUN
ap-1866	425	8	having	have	VERB
ap-1866	425	9	pt	pt	PRON
ap-1866	425	10	symmetry	symmetry	NOUN
ap-1866	425	11	.	.	PUNCT
ap-1866	426	1	phys	phy	NOUN
ap-1866	426	2	rev	rev	VERB
ap-1866	426	3	lett	lett	PROPN
ap-1866	426	4	80	80	NUM
ap-1866	426	5	:	:	PUNCT
ap-1866	426	6	5243–5246	5243–5246	NUM
ap-1866	426	7	,	,	PUNCT
ap-1866	426	8	1998	1998	NUM
ap-1866	426	9	.	.	PUNCT
ap-1866	427	1	[	[	X
ap-1866	427	2	13	13	NUM
ap-1866	427	3	]	]	PUNCT
ap-1866	427	4	m.	m.	NOUN
ap-1866	427	5	znojil	znojil	NOUN
ap-1866	427	6	.	.	PUNCT
ap-1866	428	1	maximal	maximal	ADJ
ap-1866	428	2	couplings	coupling	NOUN
ap-1866	428	3	in	in	ADP
ap-1866	428	4	pt	pt	ADJ
ap-1866	428	5	-	-	ADJ
ap-1866	428	6	symmetric	symmetric	ADJ
ap-1866	428	7	chain	chain	NOUN
ap-1866	428	8	-	-	PUNCT
ap-1866	428	9	models	model	NOUN
ap-1866	428	10	with	with	ADP
ap-1866	428	11	the	the	DET
ap-1866	428	12	real	real	ADJ
ap-1866	428	13	spectrum	spectrum	NOUN
ap-1866	428	14	of	of	ADP
ap-1866	428	15	energies	energy	NOUN
ap-1866	428	16	.	.	PUNCT
ap-1866	429	1	j	j	PROPN
ap-1866	429	2	phys	phy	NOUN
ap-1866	429	3	a	a	DET
ap-1866	429	4	:	:	PUNCT
ap-1866	429	5	math	math	NOUN
ap-1866	429	6	theor	theor	PROPN
ap-1866	429	7	40	40	NUM
ap-1866	429	8	:	:	PUNCT
ap-1866	429	9	4863–4875	4863–4875	NUM
ap-1866	429	10	,	,	PUNCT
ap-1866	429	11	2007	2007	NUM
ap-1866	429	12	.	.	PUNCT
ap-1866	430	1	[	[	X
ap-1866	430	2	14	14	NUM
ap-1866	430	3	]	]	PUNCT
ap-1866	430	4	m.	m.	NOUN
ap-1866	430	5	znojil	znojil	PROPN
ap-1866	430	6	.	.	PUNCT
ap-1866	431	1	tridiagonal	tridiagonal	ADJ
ap-1866	431	2	pt	pt	ADJ
ap-1866	431	3	-	-	ADJ
ap-1866	431	4	symmetric	symmetric	ADJ
ap-1866	431	5	n	n	X
ap-1866	431	6	by	by	ADP
ap-1866	431	7	n	n	CCONJ
ap-1866	431	8	hamiltonians	hamiltonian	NOUN
ap-1866	431	9	and	and	CCONJ
ap-1866	431	10	a	a	DET
ap-1866	431	11	fine	fine	ADV
ap-1866	431	12	-	-	PUNCT
ap-1866	431	13	tuning	tuning	NOUN
ap-1866	431	14	of	of	ADP
ap-1866	431	15	their	their	PRON
ap-1866	431	16	observability	observability	NOUN
ap-1866	431	17	domains	domain	NOUN
ap-1866	431	18	in	in	ADP
ap-1866	431	19	the	the	DET
ap-1866	431	20	strongly	strongly	ADV
ap-1866	431	21	non	non	ADJ
ap-1866	431	22	-	-	ADJ
ap-1866	431	23	hermitian	hermitian	ADJ
ap-1866	431	24	regime	regime	NOUN
ap-1866	431	25	.	.	PUNCT
ap-1866	432	1	j	j	PROPN
ap-1866	432	2	phys	phy	NOUN
ap-1866	432	3	a	a	DET
ap-1866	432	4	:	:	PUNCT
ap-1866	432	5	math	math	NOUN
ap-1866	432	6	theor	theor	PROPN
ap-1866	432	7	40	40	NUM
ap-1866	432	8	:	:	PUNCT
ap-1866	432	9	13131–13148	13131–13148	NUM
ap-1866	432	10	,	,	PUNCT
ap-1866	432	11	2007	2007	NUM
ap-1866	432	12	.	.	PUNCT
ap-1866	433	1	[	[	X
ap-1866	433	2	15	15	NUM
ap-1866	433	3	]	]	PUNCT
ap-1866	433	4	m.	m.	NOUN
ap-1866	433	5	znojil	znojil	NOUN
ap-1866	433	6	.	.	PUNCT
ap-1866	433	7	quantum	quantum	ADJ
ap-1866	433	8	catastrophes	catastrophe	NOUN
ap-1866	433	9	:	:	PUNCT
ap-1866	433	10	a	a	DET
ap-1866	433	11	case	case	NOUN
ap-1866	433	12	study	study	NOUN
ap-1866	433	13	.	.	PUNCT
ap-1866	434	1	j	j	PROPN
ap-1866	434	2	phys	phy	NOUN
ap-1866	434	3	a	a	DET
ap-1866	434	4	:	:	PUNCT
ap-1866	434	5	math	math	NOUN
ap-1866	434	6	theor	theor	PROPN
ap-1866	434	7	45	45	NUM
ap-1866	434	8	:	:	SYM
ap-1866	434	9	444036	444036	NUM
ap-1866	434	10	,	,	PUNCT
ap-1866	434	11	2012	2012	NUM
ap-1866	434	12	.	.	PUNCT
ap-1866	435	1	[	[	X
ap-1866	435	2	16	16	NUM
ap-1866	435	3	]	]	PUNCT
ap-1866	435	4	j.	j.	PROPN
ap-1866	435	5	dieudonne	dieudonne	PROPN
ap-1866	435	6	.	.	PUNCT
ap-1866	436	1	quasi	quasi	ADJ
ap-1866	436	2	-	-	ADJ
ap-1866	436	3	hermitian	hermitian	ADJ
ap-1866	436	4	operators	operator	NOUN
ap-1866	436	5	.	.	PUNCT
ap-1866	437	1	proc	proc	PROPN
ap-1866	437	2	int	int	PROPN
ap-1866	437	3	symp	symp	PROPN
ap-1866	437	4	lin	lin	PROPN
ap-1866	437	5	spaces	space	VERB
ap-1866	437	6	,	,	PUNCT
ap-1866	437	7	pergamon	pergamon	NOUN
ap-1866	437	8	,	,	PUNCT
ap-1866	437	9	oxford	oxford	PROPN
ap-1866	437	10	,	,	PUNCT
ap-1866	437	11	1961	1961	NUM
ap-1866	437	12	,	,	PUNCT
ap-1866	437	13	pp	pp	ADJ
ap-1866	437	14	.	.	PUNCT
ap-1866	438	1	115–122	115–122	NUM
ap-1866	438	2	.	.	PUNCT
ap-1866	439	1	[	[	X
ap-1866	439	2	17	17	NUM
ap-1866	439	3	]	]	X
ap-1866	439	4	h.	h.	PROPN
ap-1866	439	5	langer	langer	PROPN
ap-1866	439	6	and	and	CCONJ
ap-1866	439	7	ch	ch	PROPN
ap-1866	439	8	.	.	PROPN
ap-1866	439	9	tretter	tretter	PROPN
ap-1866	439	10	.	.	PUNCT
ap-1866	440	1	a	a	DET
ap-1866	440	2	krein	krein	ADJ
ap-1866	440	3	space	space	NOUN
ap-1866	440	4	approach	approach	NOUN
ap-1866	440	5	to	to	ADP
ap-1866	440	6	pt	pt	PROPN
ap-1866	440	7	symmetry	symmetry	PROPN
ap-1866	440	8	.	.	PUNCT
ap-1866	441	1	czechosl	czechosl	PROPN
ap-1866	441	2	j	j	PROPN
ap-1866	441	3	phys	phy	NOUN
ap-1866	441	4	54	54	NUM
ap-1866	441	5	:	:	PUNCT
ap-1866	441	6	1113–1120	1113–1120	NUM
ap-1866	441	7	,	,	PUNCT
ap-1866	441	8	2004	2004	NUM
ap-1866	441	9	;	;	PUNCT
ap-1866	441	10	p.	p.	PROPN
ap-1866	441	11	siegl	siegl	PROPN
ap-1866	441	12	.	.	PUNCT
ap-1866	442	1	non	non	ADJ
ap-1866	442	2	-	-	ADJ
ap-1866	442	3	hermitian	hermitian	ADJ
ap-1866	442	4	quantum	quantum	NOUN
ap-1866	442	5	models	model	NOUN
ap-1866	442	6	,	,	PUNCT
ap-1866	442	7	indecomposable	indecomposable	ADJ
ap-1866	442	8	representations	representation	NOUN
ap-1866	442	9	and	and	CCONJ
ap-1866	442	10	coherent	coherent	ADJ
ap-1866	442	11	states	state	NOUN
ap-1866	442	12	quantization	quantization	NOUN
ap-1866	442	13	.	.	PUNCT
ap-1866	443	1	univ	univ	PROPN
ap-1866	443	2	.	.	PUNCT
ap-1866	444	1	paris	paris	PROPN
ap-1866	444	2	diderot	diderot	PROPN
ap-1866	444	3	&	&	CCONJ
ap-1866	444	4	fnspe	fnspe	PROPN
ap-1866	444	5	ctu	ctu	PROPN
ap-1866	444	6	,	,	PUNCT
ap-1866	444	7	prague	prague	PROPN
ap-1866	444	8	,	,	PUNCT
ap-1866	444	9	2011	2011	NUM
ap-1866	444	10	(	(	PUNCT
ap-1866	444	11	phd	phd	NOUN
ap-1866	444	12	thesis	thesis	NOUN
ap-1866	444	13	)	)	PUNCT
ap-1866	444	14	.	.	PUNCT
ap-1866	445	1	[	[	X
ap-1866	445	2	18	18	NUM
ap-1866	445	3	]	]	X
ap-1866	445	4	c.	c.	PROPN
ap-1866	445	5	m.	m.	PROPN
ap-1866	445	6	bender	bender	PROPN
ap-1866	445	7	and	and	CCONJ
ap-1866	445	8	k.	k.	PROPN
ap-1866	445	9	a.	a.	PROPN
ap-1866	445	10	milton	milton	PROPN
ap-1866	445	11	.	.	PUNCT
ap-1866	446	1	nonperturbative	nonperturbative	ADJ
ap-1866	446	2	calculation	calculation	NOUN
ap-1866	446	3	of	of	ADP
ap-1866	446	4	symmetry	symmetry	NOUN
ap-1866	446	5	breaking	break	VERB
ap-1866	446	6	in	in	ADP
ap-1866	446	7	quantum	quantum	ADJ
ap-1866	446	8	field	field	NOUN
ap-1866	446	9	theory	theory	NOUN
ap-1866	446	10	.	.	PUNCT
ap-1866	447	1	phys	phy	NOUN
ap-1866	447	2	rev	rev	VERB
ap-1866	447	3	d	d	PROPN
ap-1866	447	4	55	55	NUM
ap-1866	447	5	:	:	SYM
ap-1866	447	6	3255–3259	3255–3259	NUM
ap-1866	447	7	,	,	PUNCT
ap-1866	447	8	1997	1997	NUM
ap-1866	447	9	.	.	PUNCT
ap-1866	448	1	[	[	X
ap-1866	448	2	19	19	NUM
ap-1866	448	3	]	]	X
ap-1866	448	4	c.	c.	PROPN
ap-1866	448	5	e.	e.	PROPN
ap-1866	448	6	rüter	rüter	PROPN
ap-1866	448	7	,	,	PUNCT
ap-1866	448	8	r.	r.	PROPN
ap-1866	448	9	makris	makris	PROPN
ap-1866	448	10	,	,	PUNCT
ap-1866	448	11	k.	k.	PROPN
ap-1866	448	12	g.	g.	PROPN
ap-1866	449	1	el	el	PROPN
ap-1866	449	2	-	-	PUNCT
ap-1866	449	3	ganainy	ganainy	PROPN
ap-1866	449	4	,	,	PUNCT
ap-1866	449	5	d.	d.	PROPN
ap-1866	449	6	n.	n.	PROPN
ap-1866	449	7	christodoulides	christodoulides	PROPN
ap-1866	449	8	,	,	PUNCT
ap-1866	449	9	m.	m.	NOUN
ap-1866	449	10	segev	segev	NOUN
ap-1866	449	11	and	and	CCONJ
ap-1866	449	12	d.	d.	PROPN
ap-1866	449	13	kip	kip	PROPN
ap-1866	449	14	,	,	PUNCT
ap-1866	449	15	observation	observation	NOUN
ap-1866	449	16	of	of	ADP
ap-1866	449	17	parity	parity	NOUN
ap-1866	449	18	-	-	PUNCT
ap-1866	449	19	time	time	NOUN
ap-1866	449	20	symmetry	symmetry	NOUN
ap-1866	449	21	in	in	ADP
ap-1866	449	22	optics	optic	NOUN
ap-1866	449	23	.	.	PUNCT
ap-1866	450	1	nature	nature	NOUN
ap-1866	450	2	phys	phy	NOUN
ap-1866	450	3	6	6	NUM
ap-1866	450	4	:	:	SYM
ap-1866	450	5	192	192	NUM
ap-1866	450	6	,	,	PUNCT
ap-1866	450	7	2010	2010	NUM
ap-1866	450	8	.	.	PUNCT
ap-1866	451	1	[	[	X
ap-1866	451	2	20	20	NUM
ap-1866	451	3	]	]	PUNCT
ap-1866	451	4	m.	m.	NOUN
ap-1866	451	5	znojil	znojil	PROPN
ap-1866	451	6	.	.	PUNCT
ap-1866	452	1	a	a	DET
ap-1866	452	2	return	return	NOUN
ap-1866	452	3	to	to	ADP
ap-1866	452	4	observability	observability	NOUN
ap-1866	452	5	near	near	ADP
ap-1866	452	6	exceptional	exceptional	ADJ
ap-1866	452	7	points	point	NOUN
ap-1866	452	8	in	in	ADP
ap-1866	452	9	a	a	DET
ap-1866	452	10	schematic	schematic	ADJ
ap-1866	452	11	pt	pt	ADJ
ap-1866	452	12	-	-	PUNCT
ap-1866	452	13	symmetric	symmetric	ADJ
ap-1866	452	14	model	model	NOUN
ap-1866	452	15	.	.	PUNCT
ap-1866	453	1	phys	phy	NOUN
ap-1866	453	2	lett	lett	PROPN
ap-1866	453	3	b	b	PROPN
ap-1866	453	4	647	647	NUM
ap-1866	453	5	:	:	PUNCT
ap-1866	454	1	225–230	225–230	NUM
ap-1866	454	2	,	,	PUNCT
ap-1866	454	3	2007	2007	NUM
ap-1866	454	4	.	.	PUNCT
ap-1866	455	1	[	[	X
ap-1866	455	2	21	21	NUM
ap-1866	455	3	]	]	PUNCT
ap-1866	455	4	m.	m.	NOUN
ap-1866	455	5	znojil	znojil	NOUN
ap-1866	455	6	.	.	PUNCT
ap-1866	456	1	horizons	horizon	NOUN
ap-1866	456	2	of	of	ADP
ap-1866	456	3	stability	stability	NOUN
ap-1866	456	4	.	.	PUNCT
ap-1866	457	1	j	j	PROPN
ap-1866	457	2	phys	phy	NOUN
ap-1866	457	3	a	a	PRON
ap-1866	457	4	:	:	PUNCT
ap-1866	457	5	math	math	NOUN
ap-1866	457	6	theor	theor	PROPN
ap-1866	457	7	41	41	NUM
ap-1866	457	8	:	:	PUNCT
ap-1866	457	9	244027	244027	NUM
ap-1866	457	10	,	,	PUNCT
ap-1866	457	11	2008	2008	NUM
ap-1866	457	12	.	.	PUNCT
ap-1866	458	1	[	[	X
ap-1866	458	2	22	22	NUM
ap-1866	458	3	]	]	X
ap-1866	458	4	d.	d.	PROPN
ap-1866	458	5	krejcirik	krejcirik	PROPN
ap-1866	458	6	,	,	PUNCT
ap-1866	458	7	h.	h.	PROPN
ap-1866	458	8	bila	bila	PROPN
ap-1866	458	9	and	and	CCONJ
ap-1866	458	10	m.	m.	NOUN
ap-1866	458	11	znojil	znojil	PROPN
ap-1866	458	12	.	.	PUNCT
ap-1866	459	1	closed	close	VERB
ap-1866	459	2	formula	formula	NOUN
ap-1866	459	3	for	for	ADP
ap-1866	459	4	the	the	DET
ap-1866	459	5	metric	metric	NOUN
ap-1866	459	6	in	in	ADP
ap-1866	459	7	the	the	DET
ap-1866	459	8	hilbert	hilbert	NOUN
ap-1866	459	9	space	space	NOUN
ap-1866	459	10	of	of	ADP
ap-1866	459	11	a	a	DET
ap-1866	459	12	pt	pt	ADJ
ap-1866	459	13	-	-	PUNCT
ap-1866	459	14	symmetric	symmetric	ADJ
ap-1866	459	15	model	model	NOUN
ap-1866	459	16	.	.	PUNCT
ap-1866	460	1	j	j	PROPN
ap-1866	460	2	phys	phy	NOUN
ap-1866	460	3	a	a	PRON
ap-1866	460	4	:	:	PUNCT
ap-1866	460	5	math	math	NOUN
ap-1866	460	6	gen	gen	PROPN
ap-1866	460	7	39	39	NUM
ap-1866	460	8	:	:	PUNCT
ap-1866	460	9	10143–10153	10143–10153	NUM
ap-1866	460	10	,	,	PUNCT
ap-1866	460	11	2006	2006	NUM
ap-1866	460	12	.	.	PUNCT
ap-1866	461	1	[	[	X
ap-1866	461	2	23	23	NUM
ap-1866	461	3	]	]	X
ap-1866	461	4	d.	d.	PROPN
ap-1866	461	5	krejcirik	krejcirik	PROPN
ap-1866	461	6	.	.	PUNCT
ap-1866	462	1	calculation	calculation	NOUN
ap-1866	462	2	of	of	ADP
ap-1866	462	3	the	the	DET
ap-1866	462	4	metric	metric	NOUN
ap-1866	462	5	in	in	ADP
ap-1866	462	6	the	the	DET
ap-1866	462	7	hilbert	hilbert	NOUN
ap-1866	462	8	space	space	NOUN
ap-1866	462	9	of	of	ADP
ap-1866	462	10	a	a	DET
ap-1866	462	11	pt	pt	ADJ
ap-1866	462	12	-	-	PUNCT
ap-1866	462	13	symmetric	symmetric	ADJ
ap-1866	462	14	model	model	NOUN
ap-1866	462	15	via	via	ADP
ap-1866	462	16	the	the	DET
ap-1866	462	17	spectral	spectral	PROPN
ap-1866	462	18	theorem	theorem	PROPN
ap-1866	462	19	.	.	PUNCT
ap-1866	463	1	j	j	PROPN
ap-1866	463	2	phys	phy	NOUN
ap-1866	463	3	a	a	DET
ap-1866	463	4	:	:	PUNCT
ap-1866	463	5	math	math	NOUN
ap-1866	463	6	theor	theor	PROPN
ap-1866	463	7	41	41	NUM
ap-1866	463	8	:	:	SYM
ap-1866	463	9	244012	244012	NUM
ap-1866	463	10	(	(	PUNCT
ap-1866	463	11	2008	2008	NUM
ap-1866	463	12	)	)	PUNCT
ap-1866	463	13	.	.	PUNCT
ap-1866	464	1	[	[	X
ap-1866	464	2	24	24	NUM
ap-1866	464	3	]	]	PUNCT
ap-1866	464	4	j.	j.	PROPN
ap-1866	464	5	železný	železný	PROPN
ap-1866	464	6	.	.	PUNCT
ap-1866	465	1	the	the	DET
ap-1866	465	2	krein	krein	NOUN
ap-1866	465	3	-	-	PUNCT
ap-1866	465	4	space	space	NOUN
ap-1866	465	5	theory	theory	NOUN
ap-1866	465	6	for	for	ADP
ap-1866	465	7	non	non	ADJ
ap-1866	465	8	-	-	ADJ
ap-1866	465	9	hermitian	hermitian	ADJ
ap-1866	465	10	pt	pt	ADJ
ap-1866	465	11	-	-	PUNCT
ap-1866	465	12	symmetric	symmetric	ADJ
ap-1866	465	13	operators	operator	NOUN
ap-1866	465	14	.	.	PUNCT
ap-1866	466	1	fnspe	fnspe	PROPN
ap-1866	466	2	ctu	ctu	PROPN
ap-1866	466	3	,	,	PUNCT
ap-1866	466	4	prague	prague	PROPN
ap-1866	466	5	,	,	PUNCT
ap-1866	466	6	2011	2011	NUM
ap-1866	466	7	(	(	PUNCT
ap-1866	466	8	msc	msc	PROPN
ap-1866	466	9	thesis	thesis	PROPN
ap-1866	466	10	)	)	PUNCT
ap-1866	466	11	;	;	PUNCT
ap-1866	466	12	d.	d.	PROPN
ap-1866	466	13	krejcirik	krejcirik	PROPN
ap-1866	466	14	,	,	PUNCT
ap-1866	466	15	p.	p.	NOUN
ap-1866	466	16	siegl	siegl	PROPN
ap-1866	466	17	and	and	CCONJ
ap-1866	466	18	j.	j.	PROPN
ap-1866	466	19	železný	železný	PROPN
ap-1866	466	20	.	.	PUNCT
ap-1866	467	1	on	on	ADP
ap-1866	467	2	the	the	DET
ap-1866	467	3	similarity	similarity	NOUN
ap-1866	467	4	of	of	ADP
ap-1866	467	5	sturm	sturm	PROPN
ap-1866	467	6	-	-	PUNCT
ap-1866	467	7	liouville	liouville	NOUN
ap-1866	467	8	operators	operator	NOUN
ap-1866	467	9	with	with	ADP
ap-1866	467	10	non	non	ADJ
ap-1866	467	11	-	-	ADJ
ap-1866	467	12	hermitian	hermitian	ADJ
ap-1866	467	13	boundary	boundary	ADJ
ap-1866	467	14	conditions	condition	NOUN
ap-1866	467	15	to	to	PART
ap-1866	467	16	self	self	NOUN
ap-1866	467	17	-	-	PUNCT
ap-1866	467	18	adjoint	adjoint	NOUN
ap-1866	467	19	and	and	CCONJ
ap-1866	467	20	normal	normal	ADJ
ap-1866	467	21	operators	operator	NOUN
ap-1866	467	22	.	.	PUNCT
ap-1866	468	1	complex	complex	ADJ
ap-1866	468	2	anal	anal	PROPN
ap-1866	468	3	.	.	PUNCT
ap-1866	469	1	oper	oper	PROPN
ap-1866	469	2	.	.	PROPN
ap-1866	469	3	theory	theory	NOUN
ap-1866	469	4	,	,	PUNCT
ap-1866	469	5	to	to	PART
ap-1866	469	6	appear	appear	VERB
ap-1866	469	7	.	.	PUNCT
ap-1866	470	1	preprint	preprint	NOUN
ap-1866	470	2	available	available	ADJ
ap-1866	470	3	on	on	ADP
ap-1866	470	4	arxiv:1108.4946	arxiv:1108.4946	NOUN
ap-1866	470	5	.	.	PUNCT
ap-1866	471	1	[	[	X
ap-1866	471	2	25	25	NUM
ap-1866	471	3	]	]	PUNCT
ap-1866	471	4	m.	m.	NOUN
ap-1866	471	5	znojil	znojil	NOUN
ap-1866	471	6	.	.	PUNCT
ap-1866	471	7	quantum	quantum	PROPN
ap-1866	471	8	star	star	NOUN
ap-1866	471	9	-	-	PUNCT
ap-1866	471	10	graph	graph	NOUN
ap-1866	471	11	analogues	analogue	NOUN
ap-1866	471	12	of	of	ADP
ap-1866	471	13	ptsymmetric	ptsymmetric	ADJ
ap-1866	471	14	square	square	ADJ
ap-1866	471	15	wells	well	NOUN
ap-1866	471	16	.	.	PUNCT
ap-1866	472	1	can	can	AUX
ap-1866	472	2	j	j	PROPN
ap-1866	472	3	phys	phy	NOUN
ap-1866	472	4	90	90	NUM
ap-1866	472	5	:	:	SYM
ap-1866	472	6	1287–1293	1287–1293	NUM
ap-1866	472	7	,	,	PUNCT
ap-1866	472	8	2012	2012	NUM
ap-1866	472	9	.	.	PUNCT
ap-1866	473	1	[	[	X
ap-1866	473	2	26	26	NUM
ap-1866	473	3	]	]	PUNCT
ap-1866	473	4	m.	m.	NOUN
ap-1866	473	5	znojil	znojil	PROPN
ap-1866	473	6	.	.	PUNCT
ap-1866	474	1	n	n	CCONJ
ap-1866	474	2	-	-	PUNCT
ap-1866	474	3	site	site	NOUN
ap-1866	474	4	-	-	PUNCT
ap-1866	474	5	lattice	lattice	NOUN
ap-1866	474	6	analogues	analogue	NOUN
ap-1866	474	7	of	of	ADP
ap-1866	474	8	v	v	NOUN
ap-1866	474	9	(	(	PUNCT
ap-1866	474	10	x	x	NOUN
ap-1866	474	11	)	)	PUNCT
ap-1866	474	12	=	=	SYM
ap-1866	474	13	ix3	ix3	PROPN
ap-1866	474	14	.	.	PUNCT
ap-1866	475	1	ann	ann	PROPN
ap-1866	475	2	phys	phys	PROPN
ap-1866	475	3	(	(	PUNCT
ap-1866	475	4	ny	ny	NOUN
ap-1866	475	5	)	)	PUNCT
ap-1866	475	6	327	327	NUM
ap-1866	475	7	:	:	PUNCT
ap-1866	475	8	893–913	893–913	NUM
ap-1866	475	9	,	,	PUNCT
ap-1866	475	10	2012	2012	NUM
ap-1866	475	11	.	.	PUNCT
ap-1866	476	1	[	[	X
ap-1866	476	2	27	27	NUM
ap-1866	476	3	]	]	PUNCT
ap-1866	476	4	m.	m.	NOUN
ap-1866	476	5	znojil	znojil	PROPN
ap-1866	476	6	.	.	PUNCT
ap-1866	477	1	complete	complete	ADJ
ap-1866	477	2	set	set	NOUN
ap-1866	477	3	of	of	ADP
ap-1866	477	4	inner	inner	ADJ
ap-1866	477	5	products	product	NOUN
ap-1866	477	6	for	for	ADP
ap-1866	477	7	a	a	DET
ap-1866	477	8	discrete	discrete	ADJ
ap-1866	477	9	pt	pt	ADJ
ap-1866	477	10	-	-	ADJ
ap-1866	477	11	symmetric	symmetric	ADJ
ap-1866	477	12	square	square	ADJ
ap-1866	477	13	-	-	PUNCT
ap-1866	477	14	well	well	NOUN
ap-1866	477	15	hamiltonian	hamiltonian	NOUN
ap-1866	477	16	.	.	PUNCT
ap-1866	478	1	j	j	PROPN
ap-1866	478	2	math	math	PROPN
ap-1866	478	3	phys	phy	NOUN
ap-1866	478	4	50	50	NUM
ap-1866	478	5	:	:	SYM
ap-1866	478	6	122105	122105	NUM
ap-1866	478	7	,	,	PUNCT
ap-1866	478	8	2009	2009	NUM
ap-1866	478	9	.	.	PUNCT
ap-1866	479	1	[	[	X
ap-1866	479	2	28	28	NUM
ap-1866	479	3	]	]	X
ap-1866	479	4	m.	m.	NOUN
ap-1866	479	5	znojil	znojil	PROPN
ap-1866	479	6	and	and	CCONJ
ap-1866	479	7	j.	j.	PROPN
ap-1866	479	8	wu	wu	PROPN
ap-1866	479	9	.	.	PUNCT
ap-1866	480	1	a	a	DET
ap-1866	480	2	generalized	generalized	ADJ
ap-1866	480	3	family	family	NOUN
ap-1866	480	4	of	of	ADP
ap-1866	480	5	discrete	discrete	ADJ
ap-1866	480	6	pt	pt	ADJ
ap-1866	480	7	-	-	ADJ
ap-1866	480	8	symmetric	symmetric	ADJ
ap-1866	480	9	square	square	ADJ
ap-1866	480	10	wells	well	NOUN
ap-1866	480	11	.	.	PUNCT
ap-1866	481	1	int	int	PROPN
ap-1866	482	1	j	j	PROPN
ap-1866	482	2	theor	theor	PROPN
ap-1866	482	3	phys	phy	NOUN
ap-1866	482	4	52	52	NUM
ap-1866	482	5	:	:	PUNCT
ap-1866	482	6	2152–2162	2152–2162	NUM
ap-1866	482	7	,	,	PUNCT
ap-1866	482	8	2013	2013	NUM
ap-1866	482	9	.	.	PUNCT
ap-1866	483	1	[	[	X
ap-1866	483	2	29	29	NUM
ap-1866	483	3	]	]	PUNCT
ap-1866	483	4	m.	m.	NOUN
ap-1866	483	5	znojil	znojil	NOUN
ap-1866	483	6	.	.	PUNCT
ap-1866	484	1	fundamental	fundamental	ADJ
ap-1866	484	2	length	length	NOUN
ap-1866	484	3	in	in	ADP
ap-1866	484	4	quantum	quantum	ADJ
ap-1866	484	5	theories	theory	NOUN
ap-1866	484	6	with	with	ADP
ap-1866	484	7	pt	pt	ADJ
ap-1866	484	8	-	-	ADJ
ap-1866	484	9	symmetric	symmetric	ADJ
ap-1866	484	10	hamiltonians	hamiltonian	NOUN
ap-1866	484	11	.ii	.ii	PUNCT
ap-1866	484	12	.	.	PUNCT
ap-1866	485	1	the	the	DET
ap-1866	485	2	case	case	NOUN
ap-1866	485	3	of	of	ADP
ap-1866	485	4	quantum	quantum	NOUN
ap-1866	485	5	graphs	graph	NOUN
ap-1866	485	6	.	.	PUNCT
ap-1866	486	1	phys	phy	NOUN
ap-1866	486	2	rev	rev	VERB
ap-1866	486	3	d	d	PROPN
ap-1866	486	4	80	80	NUM
ap-1866	486	5	:	:	SYM
ap-1866	486	6	105004	105004	NUM
ap-1866	486	7	,	,	PUNCT
ap-1866	486	8	2009	2009	NUM
ap-1866	486	9	.	.	PUNCT
ap-1866	487	1	[	[	X
ap-1866	487	2	30	30	NUM
ap-1866	487	3	]	]	X
ap-1866	487	4	d.	d.	PROPN
ap-1866	487	5	f.	f.	PROPN
ap-1866	487	6	styer	styer	PROPN
ap-1866	487	7	et	et	PROPN
ap-1866	487	8	al	al	PROPN
ap-1866	487	9	.	.	PROPN
ap-1866	487	10	nine	nine	NUM
ap-1866	487	11	formulations	formulation	NOUN
ap-1866	487	12	of	of	ADP
ap-1866	487	13	quantum	quantum	ADJ
ap-1866	487	14	mechanics	mechanic	NOUN
ap-1866	487	15	.	.	PUNCT
ap-1866	487	16	am	be	AUX
ap-1866	487	17	j	j	PROPN
ap-1866	487	18	phys	phy	NOUN
ap-1866	487	19	70	70	NUM
ap-1866	487	20	(	(	PUNCT
ap-1866	487	21	3	3	NUM
ap-1866	487	22	):	):	PUNCT
ap-1866	487	23	288–297	288–297	NUM
ap-1866	487	24	,	,	PUNCT
ap-1866	487	25	2002	2002	NUM
ap-1866	487	26	.	.	PUNCT
ap-1866	488	1	[	[	X
ap-1866	488	2	31	31	NUM
ap-1866	488	3	]	]	PUNCT
ap-1866	488	4	j.	j.	PROPN
ap-1866	488	5	hilgevoord	hilgevoord	PROPN
ap-1866	488	6	.	.	PUNCT
ap-1866	489	1	time	time	NOUN
ap-1866	489	2	in	in	ADP
ap-1866	489	3	quantum	quantum	ADJ
ap-1866	489	4	mechanics	mechanic	NOUN
ap-1866	489	5	.	.	PUNCT
ap-1866	490	1	am	be	AUX
ap-1866	490	2	j	j	PROPN
ap-1866	490	3	phys	phy	NOUN
ap-1866	490	4	70	70	NUM
ap-1866	490	5	(	(	PUNCT
ap-1866	490	6	3	3	NUM
ap-1866	490	7	):	):	PUNCT
ap-1866	490	8	301–306	301–306	NUM
ap-1866	490	9	,	,	PUNCT
ap-1866	490	10	2002	2002	NUM
ap-1866	490	11	.	.	PUNCT
ap-1866	491	1	[	[	X
ap-1866	491	2	32	32	NUM
ap-1866	491	3	]	]	PUNCT
ap-1866	491	4	m.	m.	NOUN
ap-1866	491	5	znojil	znojil	NOUN
ap-1866	491	6	and	and	CCONJ
ap-1866	491	7	h.	h.	PROPN
ap-1866	491	8	b.	b.	PROPN
ap-1866	491	9	geyer	geyer	PROPN
ap-1866	491	10	.	.	PUNCT
ap-1866	492	1	smeared	smear	VERB
ap-1866	492	2	quantum	quantum	NOUN
ap-1866	492	3	lattices	lattice	NOUN
ap-1866	492	4	exhibiting	exhibit	VERB
ap-1866	492	5	pt	pt	NOUN
ap-1866	492	6	-	-	PUNCT
ap-1866	492	7	symmetry	symmetry	NOUN
ap-1866	492	8	with	with	ADP
ap-1866	492	9	positive	positive	ADJ
ap-1866	492	10	p.	p.	PROPN
ap-1866	492	11	fortschr	fortschr	PROPN
ap-1866	492	12	physik	physik	PROPN
ap-1866	492	13	61(2	61(2	PROPN
ap-1866	492	14	-	-	PUNCT
ap-1866	492	15	3	3	NUM
ap-1866	492	16	):	):	PUNCT
ap-1866	492	17	111–123	111–123	NUM
ap-1866	492	18	,	,	PUNCT
ap-1866	492	19	2013	2013	NUM
ap-1866	492	20	.	.	PUNCT
ap-1866	493	1	482	482	NUM
ap-1866	493	2	acta	acta	PROPN
ap-1866	493	3	polytechnica	polytechnica	PROPN
ap-1866	493	4	53(5):473–482	53(5):473–482	PROPN
ap-1866	493	5	,	,	PUNCT
ap-1866	493	6	2013	2013	NUM
ap-1866	493	7	1	1	NUM
ap-1866	493	8	introduction	introduction	NOUN
ap-1866	493	9	2	2	NUM
ap-1866	493	10	the	the	DET
ap-1866	493	11	current	current	ADJ
ap-1866	493	12	state	state	NOUN
ap-1866	493	13	of	of	ADP
ap-1866	493	14	the	the	DET
ap-1866	493	15	art	art	NOUN
ap-1866	493	16	3	3	NUM
ap-1866	493	17	methodical	methodical	ADJ
ap-1866	493	18	guidance	guidance	NOUN
ap-1866	493	19	:	:	PUNCT
ap-1866	493	20	dimension	dimension	NOUN
ap-1866	493	21	two	two	NUM
ap-1866	493	22	3.1	3.1	NUM
ap-1866	493	23	toy	toy	NOUN
ap-1866	493	24	-	-	PUNCT
ap-1866	493	25	model	model	NOUN
ap-1866	493	26	hamiltonian	hamiltonian	NOUN
ap-1866	493	27	3.2	3.2	NUM
ap-1866	493	28	hidden	hide	VERB
ap-1866	493	29	hermiticity	hermiticity	NOUN
ap-1866	493	30	:	:	PUNCT
ap-1866	493	31	the	the	DET
ap-1866	493	32	set	set	NOUN
ap-1866	493	33	of	of	ADP
ap-1866	493	34	all	all	DET
ap-1866	493	35	eligible	eligible	ADJ
ap-1866	493	36	metrics	metric	NOUN
ap-1866	493	37	3.3	3.3	NUM
ap-1866	493	38	the	the	DET
ap-1866	493	39	second	second	ADJ
ap-1866	493	40	observable	observable	ADJ
ap-1866	493	41	q	q	NOUN
ap-1866	493	42	=	=	ADJ
ap-1866	493	43	q+	q+	ADP
ap-1866	493	44	4	4	NUM
ap-1866	493	45	hilbert	hilbert	NOUN
ap-1866	493	46	spaces	space	NOUN
ap-1866	493	47	h(f	h(f	VERB
ap-1866	493	48	)	)	PUNCT
ap-1866	493	49	of	of	ADP
ap-1866	493	50	dimension	dimension	NOUN
ap-1866	493	51	n	n	CCONJ
ap-1866	493	52	4.1	4.1	NUM
ap-1866	493	53	anharmonic	anharmonic	ADJ
ap-1866	493	54	hamiltonians	hamiltonian	VERB
ap-1866	493	55	4.2	4.2	NUM
ap-1866	493	56	discrete	discrete	NOUN
ap-1866	493	57	hamiltonians	hamiltonian	VERB
ap-1866	493	58	5	5	NUM
ap-1866	493	59	the	the	DET
ap-1866	493	60	problem	problem	NOUN
ap-1866	493	61	of	of	ADP
ap-1866	493	62	non	non	ADJ
ap-1866	493	63	-	-	NOUN
ap-1866	493	64	uniqueness	uniqueness	NOUN
ap-1866	493	65	of	of	ADP
ap-1866	493	66	the	the	DET
ap-1866	493	67	ad	ad	X
ap-1866	493	68	hoc	hoc	X
ap-1866	493	69	metric	metric	ADJ
ap-1866	493	70	theta	theta	NOUN
ap-1866	493	71	=	=	SYM
ap-1866	493	72	theta(h	theta(h	NOUN
ap-1866	493	73	)	)	PUNCT
ap-1866	493	74	5.1	5.1	NUM
ap-1866	493	75	solvable	solvable	ADJ
ap-1866	493	76	quantum	quantum	NOUN
ap-1866	493	77	models	model	NOUN
ap-1866	493	78	with	with	ADP
ap-1866	493	79	more	more	ADJ
ap-1866	493	80	than	than	ADP
ap-1866	493	81	one	one	NUM
ap-1866	493	82	observable	observable	ADJ
ap-1866	493	83	5.2	5.2	NUM
ap-1866	493	84	quantum	quantum	NOUN
ap-1866	493	85	observability	observability	NOUN
ap-1866	493	86	paradoxes	paradox	NOUN
ap-1866	493	87	6	6	NUM
ap-1866	493	88	adding	add	VERB
ap-1866	493	89	the	the	DET
ap-1866	493	90	degrees	degree	NOUN
ap-1866	493	91	of	of	ADP
ap-1866	493	92	freedom	freedom	NOUN
ap-1866	493	93	6.1	6.1	NUM
ap-1866	493	94	embedding	embed	VERB
ap-1866	493	95	:	:	PUNCT
ap-1866	493	96	n=2	n=2	ADV
ap-1866	493	97	space	space	NOUN
ap-1866	493	98	inside	inside	ADP
ap-1866	493	99	n=3	n=3	PUNCT
ap-1866	493	100	space	space	NOUN
ap-1866	493	101	6.2	6.2	NUM
ap-1866	493	102	global	global	ADJ
ap-1866	493	103	metrics	metric	NOUN
ap-1866	493	104	at	at	ADP
ap-1866	493	105	n=3	n=3	SYM
ap-1866	493	106	7	7	NUM
ap-1866	493	107	up	up	ADP
ap-1866	493	108	-	-	PUNCT
ap-1866	493	109	down	down	ADP
ap-1866	493	110	symmetrized	symmetrize	VERB
ap-1866	493	111	couplings	coupling	NOUN
ap-1866	493	112	to	to	ADP
ap-1866	493	113	the	the	DET
ap-1866	493	114	environment	environment	NOUN
ap-1866	493	115	7.1	7.1	NUM
ap-1866	493	116	toy	toy	NOUN
ap-1866	493	117	model	model	NOUN
ap-1866	493	118	with	with	ADP
ap-1866	493	119	n=9	n=9	PROPN
ap-1866	493	120	7.2	7.2	NUM
ap-1866	493	121	boundary	boundary	ADJ
ap-1866	493	122	ddh	ddh	PROPN
ap-1866	493	123	8	8	NUM
ap-1866	493	124	non	non	ADJ
ap-1866	493	125	-	-	ADJ
ap-1866	493	126	hermitian	hermitian	ADJ
ap-1866	493	127	quantum	quantum	NOUN
ap-1866	493	128	graphs	graph	NOUN
ap-1866	493	129	8.1	8.1	NUM
ap-1866	493	130	models	model	NOUN
ap-1866	493	131	with	with	ADP
ap-1866	493	132	point	point	NOUN
ap-1866	493	133	interactions	interaction	NOUN
ap-1866	493	134	8.2	8.2	NUM
ap-1866	493	135	discrete	discrete	ADJ
ap-1866	493	136	lattices	lattice	NOUN
ap-1866	493	137	9	9	NUM
ap-1866	493	138	discussion	discussion	NOUN
ap-1866	493	139	acknowledgements	acknowledgement	NOUN
ap-1866	493	140	references	reference	NOUN