id	sid	tid	token	lemma	pos
ap-2074	1	1	acta	acta	PROPN
ap-2074	1	2	polytechnica	polytechnica	PROPN
ap-2074	1	3	doi:10.14311	doi:10.14311	PROPN
ap-2074	1	4	/	/	SYM
ap-2074	1	5	ap.2014.54.0085	ap.2014.54.0085	PROPN
ap-2074	1	6	acta	acta	PROPN
ap-2074	1	7	polytechnica	polytechnica	PROPN
ap-2074	1	8	54(2):85–92	54(2):85–92	NUM
ap-2074	1	9	,	,	PUNCT
ap-2074	1	10	2014	2014	NUM
ap-2074	1	11	©	©	PROPN
ap-2074	1	12	czech	czech	PROPN
ap-2074	1	13	technical	technical	PROPN
ap-2074	1	14	university	university	PROPN
ap-2074	1	15	in	in	ADP
ap-2074	1	16	prague	prague	PROPN
ap-2074	1	17	,	,	PUNCT
ap-2074	1	18	2014	2014	NUM
ap-2074	1	19	available	available	ADJ
ap-2074	1	20	online	online	ADV
ap-2074	1	21	at	at	ADP
ap-2074	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2074	1	23	the	the	DET
ap-2074	1	24	coupled	couple	VERB
ap-2074	1	25	-	-	PUNCT
ap-2074	1	26	cluster	cluster	NOUN
ap-2074	1	27	approach	approach	NOUN
ap-2074	1	28	to	to	ADP
ap-2074	1	29	quantum	quantum	ADJ
ap-2074	1	30	many	many	ADJ
ap-2074	1	31	-	-	PUNCT
ap-2074	1	32	body	body	NOUN
ap-2074	1	33	problem	problem	NOUN
ap-2074	1	34	in	in	ADP
ap-2074	1	35	a	a	DET
ap-2074	1	36	three	three	NUM
ap-2074	1	37	-	-	PUNCT
ap-2074	1	38	hilbert	hilbert	NOUN
ap-2074	1	39	-	-	PUNCT
ap-2074	1	40	space	space	NOUN
ap-2074	1	41	reinterpretation	reinterpretation	NOUN
ap-2074	1	42	raymond	raymond	PROPN
ap-2074	1	43	f.	f.	PROPN
ap-2074	1	44	bishopa	bishopa	PROPN
ap-2074	1	45	,	,	PUNCT
ap-2074	1	46	miloslav	miloslav	VERB
ap-2074	1	47	znojilb,∗	znojilb,∗	PROPN
ap-2074	1	48	a	a	DET
ap-2074	1	49	school	school	NOUN
ap-2074	1	50	of	of	ADP
ap-2074	1	51	physics	physics	NOUN
ap-2074	1	52	and	and	CCONJ
ap-2074	1	53	astronomy	astronomy	NOUN
ap-2074	1	54	,	,	PUNCT
ap-2074	1	55	schuster	schuster	PROPN
ap-2074	1	56	building	building	NOUN
ap-2074	1	57	,	,	PUNCT
ap-2074	1	58	the	the	DET
ap-2074	1	59	university	university	PROPN
ap-2074	1	60	of	of	ADP
ap-2074	1	61	manchester	manchester	PROPN
ap-2074	1	62	,	,	PUNCT
ap-2074	1	63	manchester	manchester	PROPN
ap-2074	1	64	,	,	PUNCT
ap-2074	1	65	m13	m13	ADJ
ap-2074	1	66	9pl	9pl	NOUN
ap-2074	1	67	,	,	PUNCT
ap-2074	1	68	uk	uk	PROPN
ap-2074	1	69	b	b	PROPN
ap-2074	1	70	nuclear	nuclear	PROPN
ap-2074	1	71	physics	physics	PROPN
ap-2074	1	72	institute	institute	PROPN
ap-2074	1	73	ascr	ascr	NOUN
ap-2074	1	74	,	,	PUNCT
ap-2074	1	75	250	250	NUM
ap-2074	1	76	68	68	NUM
ap-2074	1	77	řež	řež	NOUN
ap-2074	1	78	,	,	PUNCT
ap-2074	1	79	czech	czech	PROPN
ap-2074	1	80	republic	republic	NOUN
ap-2074	1	81	∗	∗	NOUN
ap-2074	1	82	corresponding	correspond	VERB
ap-2074	1	83	author	author	NOUN
ap-2074	1	84	:	:	PUNCT
ap-2074	1	85	znojil@ujf.cas.cz	znojil@ujf.cas.cz	NOUN
ap-2074	1	86	abstract	abstract	ADJ
ap-2074	1	87	.	.	PUNCT
ap-2074	2	1	the	the	DET
ap-2074	2	2	quantum	quantum	ADJ
ap-2074	2	3	many	many	ADJ
ap-2074	2	4	-	-	PUNCT
ap-2074	2	5	body	body	NOUN
ap-2074	2	6	bound	bind	VERB
ap-2074	2	7	-	-	PUNCT
ap-2074	2	8	state	state	NOUN
ap-2074	2	9	problem	problem	NOUN
ap-2074	2	10	in	in	ADP
ap-2074	2	11	its	its	PRON
ap-2074	2	12	computationally	computationally	ADV
ap-2074	2	13	successful	successful	ADJ
ap-2074	2	14	coupled	couple	VERB
ap-2074	2	15	cluster	cluster	NOUN
ap-2074	2	16	method	method	NOUN
ap-2074	2	17	(	(	PUNCT
ap-2074	2	18	ccm	ccm	NOUN
ap-2074	2	19	)	)	PUNCT
ap-2074	2	20	representation	representation	NOUN
ap-2074	2	21	is	be	AUX
ap-2074	2	22	reconsidered	reconsider	VERB
ap-2074	2	23	.	.	PUNCT
ap-2074	3	1	in	in	ADP
ap-2074	3	2	conventional	conventional	ADJ
ap-2074	3	3	practice	practice	NOUN
ap-2074	3	4	one	one	PRON
ap-2074	3	5	factorizes	factorize	VERB
ap-2074	3	6	the	the	DET
ap-2074	3	7	groundstate	groundstate	PROPN
ap-2074	3	8	wave	wave	NOUN
ap-2074	3	9	functions	function	NOUN
ap-2074	3	10	|ψ	|ψ	VERB
ap-2074	3	11	〉	〉	NOUN
ap-2074	3	12	=	=	SYM
ap-2074	3	13	es	es	PROPN
ap-2074	3	14	|φ	|φ	PROPN
ap-2074	3	15	〉	〉	NOUN
ap-2074	3	16	which	which	PRON
ap-2074	3	17	live	live	VERB
ap-2074	3	18	in	in	ADP
ap-2074	3	19	the	the	DET
ap-2074	3	20	“	"	PUNCT
ap-2074	3	21	physical	physical	ADJ
ap-2074	3	22	”	"	PUNCT
ap-2074	3	23	hilbert	hilbert	NOUN
ap-2074	3	24	space	space	NOUN
ap-2074	3	25	h(p	h(p	PROPN
ap-2074	3	26	)	)	PUNCT
ap-2074	3	27	using	use	VERB
ap-2074	3	28	an	an	DET
ap-2074	3	29	elementary	elementary	ADJ
ap-2074	3	30	ansatz	ansatz	NOUN
ap-2074	3	31	for	for	ADP
ap-2074	3	32	|φ	|φ	PROPN
ap-2074	3	33	〉	〉	PROPN
ap-2074	3	34	plus	plus	CCONJ
ap-2074	3	35	a	a	DET
ap-2074	3	36	formal	formal	ADJ
ap-2074	3	37	expansion	expansion	NOUN
ap-2074	3	38	of	of	ADP
ap-2074	3	39	s	s	PRON
ap-2074	3	40	in	in	ADP
ap-2074	3	41	an	an	DET
ap-2074	3	42	operator	operator	NOUN
ap-2074	3	43	basis	basis	NOUN
ap-2074	3	44	of	of	ADP
ap-2074	3	45	multi	multi	ADJ
ap-2074	3	46	-	-	ADJ
ap-2074	3	47	configurational	configurational	ADJ
ap-2074	3	48	creation	creation	NOUN
ap-2074	3	49	operators	operator	NOUN
ap-2074	3	50	c+	c+	VERB
ap-2074	3	51			NOUN
ap-2074	3	52	.	.	PUNCT
ap-2074	4	1	in	in	ADP
ap-2074	4	2	our	our	PRON
ap-2074	4	3	paper	paper	NOUN
ap-2074	4	4	a	a	DET
ap-2074	4	5	reinterpretation	reinterpretation	NOUN
ap-2074	4	6	of	of	ADP
ap-2074	4	7	the	the	DET
ap-2074	4	8	method	method	NOUN
ap-2074	4	9	is	be	AUX
ap-2074	4	10	proposed	propose	VERB
ap-2074	4	11	.	.	PUNCT
ap-2074	5	1	using	use	VERB
ap-2074	5	2	parallels	parallel	NOUN
ap-2074	5	3	between	between	ADP
ap-2074	5	4	the	the	DET
ap-2074	5	5	ccm	ccm	NOUN
ap-2074	5	6	and	and	CCONJ
ap-2074	5	7	the	the	DET
ap-2074	5	8	so	so	ADV
ap-2074	5	9	called	call	VERB
ap-2074	5	10	quasi	quasi	NOUN
ap-2074	5	11	-	-	ADJ
ap-2074	5	12	hermitian	hermitian	ADJ
ap-2074	5	13	,	,	PUNCT
ap-2074	5	14	alias	alias	PROPN
ap-2074	5	15	three	three	NUM
ap-2074	5	16	-	-	PUNCT
ap-2074	5	17	hilbert	hilbert	NOUN
ap-2074	5	18	-	-	PUNCT
ap-2074	5	19	space	space	NOUN
ap-2074	5	20	(	(	PUNCT
ap-2074	5	21	ths	th	NOUN
ap-2074	5	22	)	)	PUNCT
ap-2074	5	23	,	,	PUNCT
ap-2074	5	24	quantum	quantum	NOUN
ap-2074	5	25	mechanics	mechanic	NOUN
ap-2074	5	26	,	,	PUNCT
ap-2074	5	27	the	the	DET
ap-2074	5	28	ccm	ccm	NOUN
ap-2074	5	29	transition	transition	NOUN
ap-2074	5	30	from	from	ADP
ap-2074	5	31	the	the	DET
ap-2074	5	32	known	know	VERB
ap-2074	5	33	microscopic	microscopic	ADJ
ap-2074	5	34	hamiltonian	hamiltonian	NOUN
ap-2074	5	35	(	(	PUNCT
ap-2074	5	36	denoted	denote	VERB
ap-2074	5	37	by	by	ADP
ap-2074	5	38	usual	usual	ADJ
ap-2074	5	39	symbol	symbol	NOUN
ap-2074	5	40	h	h	NOUN
ap-2074	5	41	)	)	PUNCT
ap-2074	5	42	,	,	PUNCT
ap-2074	5	43	which	which	PRON
ap-2074	5	44	is	be	AUX
ap-2074	5	45	self	self	NOUN
ap-2074	5	46	-	-	PUNCT
ap-2074	5	47	adjoint	adjoint	NOUN
ap-2074	5	48	in	in	ADP
ap-2074	5	49	h(p	h(p	PROPN
ap-2074	5	50	)	)	PUNCT
ap-2074	5	51	,	,	PUNCT
ap-2074	5	52	to	to	ADP
ap-2074	5	53	its	its	PRON
ap-2074	5	54	effective	effective	ADJ
ap-2074	5	55	lower	low	ADJ
ap-2074	5	56	-	-	PUNCT
ap-2074	5	57	case	case	NOUN
ap-2074	5	58	isospectral	isospectral	ADJ
ap-2074	5	59	avatar	avatar	NOUN
ap-2074	5	60	ĥ	ĥ	X
ap-2074	5	61	=	=	SYM
ap-2074	5	62	e−shes	e−she	NOUN
ap-2074	5	63	,	,	PUNCT
ap-2074	5	64	is	be	AUX
ap-2074	5	65	assigned	assign	VERB
ap-2074	5	66	a	a	DET
ap-2074	5	67	ths	th	NOUN
ap-2074	5	68	interpretation	interpretation	NOUN
ap-2074	5	69	.	.	PUNCT
ap-2074	6	1	in	in	ADP
ap-2074	6	2	the	the	DET
ap-2074	6	3	opposite	opposite	ADJ
ap-2074	6	4	direction	direction	NOUN
ap-2074	6	5	,	,	PUNCT
ap-2074	6	6	a	a	DET
ap-2074	6	7	ths	th	NOUN
ap-2074	6	8	-	-	PUNCT
ap-2074	6	9	prescribed	prescribe	VERB
ap-2074	6	10	,	,	PUNCT
ap-2074	6	11	non	non	ADJ
ap-2074	6	12	-	-	NOUN
ap-2074	6	13	ccm	ccm	ADJ
ap-2074	6	14	,	,	PUNCT
ap-2074	6	15	innovative	innovative	ADJ
ap-2074	6	16	reinstallation	reinstallation	NOUN
ap-2074	6	17	of	of	ADP
ap-2074	6	18	hermiticity	hermiticity	NOUN
ap-2074	6	19	is	be	AUX
ap-2074	6	20	shown	show	VERB
ap-2074	6	21	to	to	PART
ap-2074	6	22	be	be	AUX
ap-2074	6	23	possible	possible	ADJ
ap-2074	6	24	for	for	ADP
ap-2074	6	25	the	the	DET
ap-2074	6	26	ccm	ccm	NOUN
ap-2074	6	27	effective	effective	ADJ
ap-2074	6	28	hamiltonian	hamiltonian	ADJ
ap-2074	6	29	ĥ	ĥ	PROPN
ap-2074	6	30	,	,	PUNCT
ap-2074	6	31	which	which	PRON
ap-2074	6	32	only	only	ADV
ap-2074	6	33	appears	appear	VERB
ap-2074	6	34	manifestly	manifestly	ADV
ap-2074	6	35	non	non	ADJ
ap-2074	6	36	-	-	ADJ
ap-2074	6	37	hermitian	hermitian	ADJ
ap-2074	6	38	in	in	ADP
ap-2074	6	39	its	its	PRON
ap-2074	6	40	own	own	ADJ
ap-2074	6	41	(	(	PUNCT
ap-2074	6	42	“	"	PUNCT
ap-2074	6	43	friendly	friendly	ADJ
ap-2074	6	44	”	"	PUNCT
ap-2074	6	45	)	)	PUNCT
ap-2074	6	46	hilbert	hilbert	NOUN
ap-2074	6	47	space	space	NOUN
ap-2074	6	48	h(f	h(f	PROPN
ap-2074	6	49	)	)	PUNCT
ap-2074	6	50	.	.	PUNCT
ap-2074	7	1	this	this	DET
ap-2074	7	2	goal	goal	NOUN
ap-2074	7	3	is	be	AUX
ap-2074	7	4	achieved	achieve	VERB
ap-2074	7	5	via	via	ADP
ap-2074	7	6	an	an	DET
ap-2074	7	7	ad	ad	X
ap-2074	7	8	hoc	hoc	X
ap-2074	7	9	amendment	amendment	NOUN
ap-2074	7	10	of	of	ADP
ap-2074	7	11	the	the	DET
ap-2074	7	12	inner	inner	ADJ
ap-2074	7	13	product	product	NOUN
ap-2074	7	14	in	in	ADP
ap-2074	7	15	h(f	h(f	PROPN
ap-2074	7	16	)	)	PUNCT
ap-2074	7	17	,	,	PUNCT
ap-2074	7	18	thereby	thereby	ADV
ap-2074	7	19	yielding	yield	VERB
ap-2074	7	20	the	the	DET
ap-2074	7	21	third	third	ADJ
ap-2074	7	22	(	(	PUNCT
ap-2074	7	23	“	"	PUNCT
ap-2074	7	24	standard	standard	ADJ
ap-2074	7	25	”	"	PUNCT
ap-2074	7	26	)	)	PUNCT
ap-2074	7	27	hilbert	hilbert	NOUN
ap-2074	7	28	space	space	NOUN
ap-2074	7	29	h(s	h(s	PROPN
ap-2074	7	30	)	)	PUNCT
ap-2074	7	31	.	.	PUNCT
ap-2074	8	1	due	due	ADP
ap-2074	8	2	to	to	ADP
ap-2074	8	3	the	the	DET
ap-2074	8	4	resulting	result	VERB
ap-2074	8	5	exact	exact	ADJ
ap-2074	8	6	unitary	unitary	ADJ
ap-2074	8	7	equivalence	equivalence	NOUN
ap-2074	8	8	between	between	ADP
ap-2074	8	9	the	the	DET
ap-2074	8	10	first	first	ADJ
ap-2074	8	11	and	and	CCONJ
ap-2074	8	12	third	third	ADJ
ap-2074	8	13	spaces	space	NOUN
ap-2074	8	14	,	,	PUNCT
ap-2074	8	15	h(p	h(p	PROPN
ap-2074	8	16	)	)	PUNCT
ap-2074	8	17	∼	∼	NOUN
ap-2074	8	18	h(s	h(	NOUN
ap-2074	8	19	)	)	PUNCT
ap-2074	8	20	,	,	PUNCT
ap-2074	8	21	the	the	DET
ap-2074	8	22	indistinguishability	indistinguishability	NOUN
ap-2074	8	23	of	of	ADP
ap-2074	8	24	predictions	prediction	NOUN
ap-2074	8	25	calculated	calculate	VERB
ap-2074	8	26	in	in	ADP
ap-2074	8	27	these	these	DET
ap-2074	8	28	alternative	alternative	ADJ
ap-2074	8	29	physical	physical	ADJ
ap-2074	8	30	frameworks	framework	NOUN
ap-2074	8	31	is	be	AUX
ap-2074	8	32	guaranteed	guarantee	VERB
ap-2074	8	33	.	.	PUNCT
ap-2074	9	1	keywords	keyword	NOUN
ap-2074	9	2	:	:	PUNCT
ap-2074	9	3	quantum	quantum	ADJ
ap-2074	9	4	many	many	ADJ
ap-2074	9	5	-	-	PUNCT
ap-2074	9	6	body	body	NOUN
ap-2074	9	7	problem	problem	NOUN
ap-2074	9	8	,	,	PUNCT
ap-2074	9	9	coupled	couple	VERB
ap-2074	9	10	cluster	cluster	NOUN
ap-2074	9	11	method	method	NOUN
ap-2074	9	12	,	,	PUNCT
ap-2074	9	13	ad	ad	X
ap-2074	9	14	hoc	hoc	X
ap-2074	9	15	inner	inner	ADJ
ap-2074	9	16	product	product	NOUN
ap-2074	9	17	,	,	PUNCT
ap-2074	9	18	alternative	alternative	ADJ
ap-2074	9	19	representation	representation	NOUN
ap-2074	9	20	spaces	space	NOUN
ap-2074	9	21	.	.	PUNCT
ap-2074	10	1	1	1	X
ap-2074	10	2	.	.	X
ap-2074	10	3	introduction	introduction	NOUN
ap-2074	10	4	the	the	DET
ap-2074	10	5	coupled	couple	VERB
ap-2074	10	6	cluster	cluster	NOUN
ap-2074	10	7	method	method	NOUN
ap-2074	10	8	(	(	PUNCT
ap-2074	10	9	ccm	ccm	PROPN
ap-2074	10	10	)	)	PUNCT
ap-2074	10	11	of	of	ADP
ap-2074	10	12	construction	construction	NOUN
ap-2074	10	13	,	,	PUNCT
ap-2074	10	14	say	say	INTJ
ap-2074	10	15	,	,	PUNCT
ap-2074	10	16	of	of	ADP
ap-2074	10	17	the	the	DET
ap-2074	10	18	ground	ground	NOUN
ap-2074	10	19	-	-	PUNCT
ap-2074	10	20	state	state	NOUN
ap-2074	10	21	energies	energy	NOUN
ap-2074	10	22	and	and	CCONJ
ap-2074	10	23	wave	wave	NOUN
ap-2074	10	24	functions	function	NOUN
ap-2074	10	25	of	of	ADP
ap-2074	10	26	general	general	ADJ
ap-2074	10	27	quantum	quantum	ADJ
ap-2074	10	28	many	many	ADJ
ap-2074	10	29	-	-	PUNCT
ap-2074	10	30	body	body	NOUN
ap-2074	10	31	systems	system	NOUN
ap-2074	10	32	works	work	VERB
ap-2074	10	33	with	with	ADP
ap-2074	10	34	virtual	virtual	ADJ
ap-2074	10	35	multi	multi	ADJ
ap-2074	10	36	-	-	ADJ
ap-2074	10	37	particle	particle	ADJ
ap-2074	10	38	excitations	excitation	NOUN
ap-2074	10	39	,	,	PUNCT
ap-2074	10	40	and	and	CCONJ
ap-2074	10	41	the	the	DET
ap-2074	10	42	linked	link	VERB
ap-2074	10	43	-	-	PUNCT
ap-2074	10	44	cluster	cluster	NOUN
ap-2074	10	45	nature	nature	NOUN
ap-2074	10	46	of	of	ADP
ap-2074	10	47	the	the	DET
ap-2074	10	48	contributions	contribution	NOUN
ap-2074	10	49	to	to	ADP
ap-2074	10	50	the	the	DET
ap-2074	10	51	resulting	result	VERB
ap-2074	10	52	estimates	estimate	NOUN
ap-2074	10	53	of	of	ADP
ap-2074	10	54	measurable	measurable	ADJ
ap-2074	10	55	quantities	quantity	NOUN
ap-2074	10	56	is	be	AUX
ap-2074	10	57	particularly	particularly	ADV
ap-2074	10	58	emphasized	emphasize	VERB
ap-2074	10	59	[	[	X
ap-2074	10	60	1	1	NUM
ap-2074	10	61	]	]	PUNCT
ap-2074	10	62	–	–	PUNCT
ap-2074	11	1	[	[	X
ap-2074	11	2	3	3	NUM
ap-2074	11	3	]	]	PUNCT
ap-2074	11	4	.	.	PUNCT
ap-2074	12	1	the	the	DET
ap-2074	12	2	strategy	strategy	NOUN
ap-2074	12	3	leads	lead	VERB
ap-2074	12	4	,	,	PUNCT
ap-2074	12	5	in	in	ADP
ap-2074	12	6	practical	practical	ADJ
ap-2074	12	7	calculations	calculation	NOUN
ap-2074	12	8	,	,	PUNCT
ap-2074	12	9	to	to	ADP
ap-2074	12	10	the	the	DET
ap-2074	12	11	replacement	replacement	NOUN
ap-2074	12	12	of	of	ADP
ap-2074	12	13	a	a	DET
ap-2074	12	14	given	give	VERB
ap-2074	12	15	,	,	PUNCT
ap-2074	12	16	known	know	VERB
ap-2074	12	17	,	,	PUNCT
ap-2074	12	18	realistic	realistic	ADJ
ap-2074	12	19	and	and	CCONJ
ap-2074	12	20	exact	exact	ADJ
ap-2074	12	21	microscopic	microscopic	ADJ
ap-2074	12	22	input	input	NOUN
ap-2074	12	23	hamiltonian	hamiltonian	NOUN
ap-2074	12	24	(	(	PUNCT
ap-2074	12	25	let	let	VERB
ap-2074	12	26	us	we	PRON
ap-2074	12	27	denote	denote	VERB
ap-2074	12	28	it	it	PRON
ap-2074	12	29	by	by	ADP
ap-2074	12	30	the	the	DET
ap-2074	12	31	dedicated	dedicated	ADJ
ap-2074	12	32	symbol	symbol	NOUN
ap-2074	12	33	h	h	NOUN
ap-2074	12	34	)	)	PUNCT
ap-2074	12	35	by	by	ADP
ap-2074	12	36	its	its	PRON
ap-2074	12	37	lower	low	ADJ
ap-2074	12	38	-	-	PUNCT
ap-2074	12	39	case	case	NOUN
ap-2074	12	40	isospectral	isospectral	ADJ
ap-2074	12	41	reparametrization	reparametrization	NOUN
ap-2074	12	42	ĥ	ĥ	PUNCT
ap-2074	12	43	=	=	PUNCT
ap-2074	12	44	ω−1hω	ω−1hω	ADV
ap-2074	12	45	.	.	PUNCT
ap-2074	13	1	(	(	PUNCT
ap-2074	13	2	1	1	X
ap-2074	13	3	)	)	PUNCT
ap-2074	13	4	an	an	DET
ap-2074	13	5	optimal	optimal	ADJ
ap-2074	13	6	similarity	similarity	NOUN
ap-2074	13	7	-	-	PUNCT
ap-2074	13	8	mediating	mediate	VERB
ap-2074	13	9	transformation	transformation	NOUN
ap-2074	13	10	operator	operator	NOUN
ap-2074	13	11	ω	ω	PROPN
ap-2074	13	12	is	be	AUX
ap-2074	13	13	then	then	ADV
ap-2074	13	14	sought	seek	VERB
ap-2074	13	15	in	in	ADP
ap-2074	13	16	an	an	DET
ap-2074	13	17	exponential	exponential	NOUN
ap-2074	13	18	,	,	PUNCT
ap-2074	13	19	manifestly	manifestly	ADV
ap-2074	13	20	linked	link	VERB
ap-2074	13	21	-	-	PUNCT
ap-2074	13	22	cluster	cluster	NOUN
ap-2074	13	23	form	form	NOUN
ap-2074	13	24	ω	ω	NOUN
ap-2074	13	25	=	=	SYM
ap-2074	13	26	exps	exp	NOUN
ap-2074	13	27	.	.	PUNCT
ap-2074	14	1	the	the	DET
ap-2074	14	2	excitations	excitation	NOUN
ap-2074	14	3	themselves	themselves	PRON
ap-2074	14	4	are	be	AUX
ap-2074	14	5	usually	usually	ADV
ap-2074	14	6	assumed	assume	VERB
ap-2074	14	7	multi	multi	ADJ
ap-2074	14	8	-	-	ADJ
ap-2074	14	9	configurational	configurational	ADJ
ap-2074	14	10	,	,	PUNCT
ap-2074	14	11	multi	multi	ADJ
ap-2074	14	12	-	-	ADJ
ap-2074	14	13	indexed	indexed	ADJ
ap-2074	14	14	and	and	CCONJ
ap-2074	14	15	generated	generate	VERB
ap-2074	14	16	by	by	ADP
ap-2074	14	17	a	a	DET
ap-2074	14	18	complete	complete	ADJ
ap-2074	14	19	set	set	NOUN
ap-2074	14	20	of	of	ADP
ap-2074	14	21	mutually	mutually	ADV
ap-2074	14	22	commuting	commute	VERB
ap-2074	14	23	many	many	ADJ
ap-2074	14	24	-	-	PUNCT
ap-2074	14	25	body	body	NOUN
ap-2074	14	26	creation	creation	NOUN
ap-2074	14	27	operators	operator	NOUN
ap-2074	14	28	c+	c+	VERB
ap-2074	14	29			PROPN
ap-2074	14	30	≡	≡	PROPN
ap-2074	14	31	(	(	PUNCT
ap-2074	14	32	c−	c−	PROPN
ap-2074	14	33	)	)	PUNCT
ap-2074	14	34	†	†	NOUN
ap-2074	14	35	such	such	ADJ
ap-2074	14	36	that	that	PRON
ap-2074	14	37	,	,	PUNCT
ap-2074	14	38	conventionally	conventionally	ADV
ap-2074	14	39	,	,	PUNCT
ap-2074	14	40	c+	c+	X
ap-2074	14	41	0	0	NUM
ap-2074	14	42	≡	≡	PROPN
ap-2074	14	43	i	i	PRON
ap-2074	14	44	and	and	CCONJ
ap-2074	14	45	c−0	c−0	PROPN
ap-2074	14	46	≡	≡	PROPN
ap-2074	14	47	i	i	PRON
ap-2074	14	48	while	while	SCONJ
ap-2074	14	49	s	s	PART
ap-2074	14	50	=	=	PUNCT
ap-2074	14	51	∑	∑	PUNCT
ap-2074	14	52			NOUN
ap-2074	14	53	6=0	6=0	NUM
ap-2074	14	54	sc	sc	X
ap-2074	14	55	+	+	CCONJ
ap-2074	14	56			NOUN
ap-2074	14	57	.	.	PUNCT
ap-2074	15	1	naturally	naturally	ADV
ap-2074	15	2	,	,	PUNCT
ap-2074	15	3	the	the	DET
ap-2074	15	4	quality	quality	NOUN
ap-2074	15	5	of	of	ADP
ap-2074	15	6	the	the	DET
ap-2074	15	7	variationally	variationally	ADV
ap-2074	15	8	determined	determine	VERB
ap-2074	15	9	ccm	ccm	NOUN
ap-2074	15	10	coefficients	coefficient	NOUN
ap-2074	15	11	s	s	NOUN
ap-2074	15	12	translates	translate	VERB
ap-2074	15	13	into	into	ADP
ap-2074	15	14	the	the	DET
ap-2074	15	15	quality	quality	NOUN
ap-2074	15	16	of	of	ADP
ap-2074	15	17	the	the	DET
ap-2074	15	18	predicted	predict	VERB
ap-2074	15	19	expectation	expectation	NOUN
ap-2074	15	20	values	value	NOUN
ap-2074	15	21	of	of	ADP
ap-2074	15	22	any	any	DET
ap-2074	15	23	operator	operator	NOUN
ap-2074	15	24	of	of	ADP
ap-2074	15	25	an	an	DET
ap-2074	15	26	observable	observable	ADJ
ap-2074	15	27	quantity	quantity	NOUN
ap-2074	15	28	.	.	PUNCT
ap-2074	16	1	in	in	ADP
ap-2074	16	2	practice	practice	NOUN
ap-2074	16	3	,	,	PUNCT
ap-2074	16	4	there	there	PRON
ap-2074	16	5	expectedly	expectedly	ADV
ap-2074	16	6	emerges	emerge	VERB
ap-2074	16	7	a	a	DET
ap-2074	16	8	conflict	conflict	NOUN
ap-2074	16	9	between	between	ADP
ap-2074	16	10	the	the	DET
ap-2074	16	11	precision	precision	NOUN
ap-2074	16	12	and	and	CCONJ
ap-2074	16	13	the	the	DET
ap-2074	16	14	costs	cost	NOUN
ap-2074	16	15	of	of	ADP
ap-2074	16	16	the	the	DET
ap-2074	16	17	results	result	NOUN
ap-2074	16	18	.	.	PUNCT
ap-2074	17	1	one	one	NUM
ap-2074	17	2	is	be	AUX
ap-2074	17	3	thus	thus	ADV
ap-2074	17	4	forced	force	VERB
ap-2074	17	5	to	to	PART
ap-2074	17	6	find	find	VERB
ap-2074	17	7	an	an	DET
ap-2074	17	8	optimal	optimal	ADJ
ap-2074	17	9	compromise	compromise	NOUN
ap-2074	17	10	between	between	ADP
ap-2074	17	11	these	these	DET
ap-2074	17	12	two	two	NUM
ap-2074	17	13	requirements	requirement	NOUN
ap-2074	17	14	by	by	ADP
ap-2074	17	15	introducing	introduce	VERB
ap-2074	17	16	various	various	ADJ
ap-2074	17	17	approximation	approximation	NOUN
ap-2074	17	18	schemes	scheme	NOUN
ap-2074	17	19	.	.	PUNCT
ap-2074	18	1	in	in	ADP
ap-2074	18	2	our	our	PRON
ap-2074	18	3	present	present	ADJ
ap-2074	18	4	short	short	ADJ
ap-2074	18	5	paper	paper	NOUN
ap-2074	18	6	we	we	PRON
ap-2074	18	7	intend	intend	VERB
ap-2074	18	8	to	to	PART
ap-2074	18	9	describe	describe	VERB
ap-2074	18	10	one	one	NUM
ap-2074	18	11	possible	possible	ADJ
ap-2074	18	12	systematic	systematic	ADJ
ap-2074	18	13	approach	approach	NOUN
ap-2074	18	14	to	to	ADP
ap-2074	18	15	the	the	DET
ap-2074	18	16	abstract	abstract	ADJ
ap-2074	18	17	formulation	formulation	NOUN
ap-2074	18	18	of	of	ADP
ap-2074	18	19	approximation	approximation	NOUN
ap-2074	18	20	hierarchies	hierarchy	NOUN
ap-2074	18	21	.	.	PUNCT
ap-2074	19	1	our	our	PRON
ap-2074	19	2	considerations	consideration	NOUN
ap-2074	19	3	will	will	AUX
ap-2074	19	4	be	be	AUX
ap-2074	19	5	inspired	inspire	VERB
ap-2074	19	6	by	by	ADP
ap-2074	19	7	the	the	DET
ap-2074	19	8	recent	recent	ADJ
ap-2074	19	9	progress	progress	NOUN
ap-2074	19	10	achieved	achieve	VERB
ap-2074	19	11	in	in	ADP
ap-2074	19	12	both	both	CCONJ
ap-2074	19	13	the	the	DET
ap-2074	19	14	formal	formal	NOUN
ap-2074	19	15	and	and	CCONJ
ap-2074	19	16	the	the	DET
ap-2074	19	17	applied	apply	VERB
ap-2074	19	18	analyses	analysis	NOUN
ap-2074	19	19	of	of	ADP
ap-2074	19	20	isospectral	isospectral	ADJ
ap-2074	19	21	partnerships	partnership	NOUN
ap-2074	19	22	ĥ	ĥ	PUNCT
ap-2074	19	23	↔	↔	PROPN
ap-2074	19	24	h.	h.	PROPN
ap-2074	19	25	in	in	ADP
ap-2074	19	26	particular	particular	ADJ
ap-2074	19	27	,	,	PUNCT
ap-2074	19	28	we	we	PRON
ap-2074	19	29	shall	shall	AUX
ap-2074	19	30	emphasize	emphasize	VERB
ap-2074	19	31	the	the	DET
ap-2074	19	32	innovative	innovative	ADJ
ap-2074	19	33	role	role	NOUN
ap-2074	19	34	played	play	VERB
ap-2074	19	35	by	by	ADP
ap-2074	19	36	various	various	ADJ
ap-2074	19	37	non	non	ADJ
ap-2074	19	38	-	-	ADJ
ap-2074	19	39	unitary	unitary	ADJ
ap-2074	19	40	mappings	mapping	NOUN
ap-2074	19	41	ω	ω	NOUN
ap-2074	19	42	,	,	PUNCT
ap-2074	19	43	say	say	INTJ
ap-2074	19	44	,	,	PUNCT
ap-2074	19	45	in	in	ADP
ap-2074	19	46	their	their	PRON
ap-2074	19	47	alternative	alternative	ADJ
ap-2074	19	48	time	time	NOUN
ap-2074	19	49	-	-	PUNCT
ap-2074	19	50	independent	independent	ADJ
ap-2074	19	51	or	or	CCONJ
ap-2074	19	52	time	time	NOUN
ap-2074	19	53	-	-	PUNCT
ap-2074	19	54	dependent	dependent	ADJ
ap-2074	19	55	forms	form	NOUN
ap-2074	19	56	as	as	SCONJ
ap-2074	19	57	described	describe	VERB
ap-2074	19	58	in	in	ADP
ap-2074	19	59	review	review	NOUN
ap-2074	19	60	papers	paper	NOUN
ap-2074	19	61	[	[	X
ap-2074	19	62	4	4	X
ap-2074	19	63	]	]	PUNCT
ap-2074	19	64	and	and	CCONJ
ap-2074	19	65	[	[	X
ap-2074	19	66	5	5	NUM
ap-2074	19	67	]	]	PUNCT
ap-2074	19	68	,	,	PUNCT
ap-2074	19	69	respectively	respectively	ADV
ap-2074	19	70	.	.	PUNCT
ap-2074	20	1	once	once	ADV
ap-2074	20	2	a	a	DET
ap-2074	20	3	decisive	decisive	ADJ
ap-2074	20	4	simplification	simplification	NOUN
ap-2074	20	5	of	of	ADP
ap-2074	20	6	the	the	DET
ap-2074	20	7	hamiltonian	hamiltonian	NOUN
ap-2074	20	8	is	be	AUX
ap-2074	20	9	achieved	achieve	VERB
ap-2074	20	10	by	by	ADP
ap-2074	20	11	a	a	DET
ap-2074	20	12	non	non	ADJ
ap-2074	20	13	-	-	ADJ
ap-2074	20	14	unitary	unitary	ADJ
ap-2074	20	15	map	map	NOUN
ap-2074	20	16	ω	ω	NOUN
ap-2074	20	17	:	:	PUNCT
ap-2074	20	18	h	h	PROPN
ap-2074	20	19	→	→	SYM
ap-2074	20	20	ĥ	ĥ	PROPN
ap-2074	20	21	,	,	PUNCT
ap-2074	20	22	we	we	PRON
ap-2074	20	23	have	have	VERB
ap-2074	20	24	to	to	PART
ap-2074	20	25	start	start	VERB
ap-2074	20	26	working	work	VERB
ap-2074	20	27	with	with	ADP
ap-2074	20	28	the	the	DET
ap-2074	20	29	less	less	ADV
ap-2074	20	30	usual	usual	ADJ
ap-2074	20	31	form	form	NOUN
ap-2074	20	32	ĥ	ĥ	PROPN
ap-2074	20	33	of	of	ADP
ap-2074	20	34	the	the	DET
ap-2074	20	35	hamiltonian	hamiltonian	NOUN
ap-2074	20	36	,	,	PUNCT
ap-2074	20	37	which	which	PRON
ap-2074	20	38	becomes	become	VERB
ap-2074	20	39	,	,	PUNCT
ap-2074	20	40	in	in	ADP
ap-2074	20	41	general	general	ADJ
ap-2074	20	42	,	,	PUNCT
ap-2074	20	43	nonhermitian	nonhermitian	ADJ
ap-2074	20	44	since	since	SCONJ
ap-2074	20	45	ĥ†	ĥ†	PROPN
ap-2074	20	46	=	=	SYM
ap-2074	20	47	ω†h(ω−1)†	ω†h(ω−1)†	PROPN
ap-2074	20	48	=	=	SYM
ap-2074	20	49	ω†ωĥω−1(ω−1)†	ω†ωĥω−1(ω−1)†	PROPN
ap-2074	20	50	,	,	PUNCT
ap-2074	20	51	ω†ω	ω†ω	NUM
ap-2074	20	52	≡	≡	PROPN
ap-2074	20	53	θ	θ	PROPN
ap-2074	20	54	6=	6=	NUM
ap-2074	21	1	i.	i.	PROPN
ap-2074	21	2	(	(	PUNCT
ap-2074	21	3	2	2	NUM
ap-2074	21	4	)	)	PUNCT
ap-2074	21	5	in	in	ADP
ap-2074	21	6	our	our	PRON
ap-2074	21	7	present	present	ADJ
ap-2074	21	8	paper	paper	NOUN
ap-2074	21	9	we	we	PRON
ap-2074	21	10	intend	intend	VERB
ap-2074	21	11	to	to	PART
ap-2074	21	12	reveal	reveal	VERB
ap-2074	21	13	and	and	CCONJ
ap-2074	21	14	describe	describe	VERB
ap-2074	21	15	a	a	DET
ap-2074	21	16	deeper	deep	ADJ
ap-2074	21	17	relationship	relationship	NOUN
ap-2074	21	18	between	between	ADP
ap-2074	21	19	the	the	DET
ap-2074	21	20	ccm	ccm	NOUN
ap-2074	21	21	and	and	CCONJ
ap-2074	21	22	the	the	DET
ap-2074	21	23	abstract	abstract	ADJ
ap-2074	21	24	framework	framework	NOUN
ap-2074	21	25	provided	provide	VERB
ap-2074	21	26	by	by	ADP
ap-2074	21	27	the	the	DET
ap-2074	21	28	mathematical	mathematical	ADJ
ap-2074	21	29	theory	theory	NOUN
ap-2074	21	30	of	of	ADP
ap-2074	21	31	hamiltonians	hamiltonian	NOUN
ap-2074	21	32	exhibiting	exhibit	VERB
ap-2074	21	33	the	the	DET
ap-2074	21	34	above	above	ADJ
ap-2074	21	35	property	property	NOUN
ap-2074	21	36	of	of	ADP
ap-2074	21	37	quasi	quasi	NOUN
ap-2074	21	38	-	-	NOUN
ap-2074	21	39	hermiticity	hermiticity	ADJ
ap-2074	22	1	[	[	X
ap-2074	22	2	6	6	NUM
ap-2074	22	3	]	]	PUNCT
ap-2074	22	4	,	,	PUNCT
ap-2074	22	5	alias	alias	PROPN
ap-2074	22	6	crypto	crypto	NOUN
ap-2074	22	7	-	-	NOUN
ap-2074	22	8	hermiticity	hermiticity	NOUN
ap-2074	23	1	[	[	X
ap-2074	23	2	7	7	NUM
ap-2074	23	3	]	]	PUNCT
ap-2074	23	4	,	,	PUNCT
ap-2074	23	5	with	with	ADP
ap-2074	23	6	respect	respect	NOUN
ap-2074	23	7	to	to	ADP
ap-2074	23	8	the	the	DET
ap-2074	23	9	alternative	alternative	ADJ
ap-2074	23	10	hilbert	hilbert	NOUN
ap-2074	23	11	-	-	PUNCT
ap-2074	23	12	space	space	NOUN
ap-2074	23	13	metricoperator	metricoperator	NOUN
ap-2074	23	14	θ	θ	PROPN
ap-2074	23	15	6=	6=	PROPN
ap-2074	24	1	i	i	PROPN
ap-2074	24	2	,	,	PUNCT
ap-2074	24	3	ĥ†θ	ĥ†θ	NOUN
ap-2074	24	4	=	=	NOUN
ap-2074	24	5	θĥ.	θĥ.	NOUN
ap-2074	24	6	(	(	PUNCT
ap-2074	24	7	3	3	NUM
ap-2074	24	8	)	)	PUNCT
ap-2074	24	9	85	85	NUM
ap-2074	24	10	http://dx.doi.org/10.14311/ap.2014.54.0085	http://dx.doi.org/10.14311/ap.2014.54.0085	PRON
ap-2074	24	11	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2074	24	12	raymond	raymond	PROPN
ap-2074	24	13	f.	f.	PROPN
ap-2074	24	14	bishop	bishop	PROPN
ap-2074	24	15	,	,	PUNCT
ap-2074	24	16	miloslav	miloslav	NOUN
ap-2074	24	17	znojil	znojil	PROPN
ap-2074	24	18	acta	acta	PROPN
ap-2074	24	19	polytechnica	polytechnica	PROPN
ap-2074	24	20	in	in	ADP
ap-2074	24	21	section	section	NOUN
ap-2074	24	22	2	2	NUM
ap-2074	24	23	we	we	PRON
ap-2074	24	24	shall	shall	AUX
ap-2074	24	25	explain	explain	VERB
ap-2074	24	26	the	the	DET
ap-2074	24	27	abstract	abstract	ADJ
ap-2074	24	28	formalism	formalism	NOUN
ap-2074	24	29	of	of	ADP
ap-2074	24	30	three	three	NUM
ap-2074	24	31	-	-	PUNCT
ap-2074	24	32	hilbert	hilbert	NOUN
ap-2074	24	33	-	-	PUNCT
ap-2074	24	34	space	space	NOUN
ap-2074	24	35	(	(	PUNCT
ap-2074	24	36	ths	th	NOUN
ap-2074	24	37	)	)	PUNCT
ap-2074	24	38	representation	representation	NOUN
ap-2074	24	39	of	of	ADP
ap-2074	24	40	quantum	quantum	NOUN
ap-2074	24	41	systems	system	NOUN
ap-2074	24	42	.	.	PUNCT
ap-2074	25	1	we	we	PRON
ap-2074	25	2	shall	shall	AUX
ap-2074	25	3	make	make	VERB
ap-2074	25	4	use	use	NOUN
ap-2074	25	5	of	of	ADP
ap-2074	25	6	the	the	DET
ap-2074	25	7	notation	notation	NOUN
ap-2074	25	8	conventions	convention	NOUN
ap-2074	25	9	of	of	ADP
ap-2074	25	10	review	review	NOUN
ap-2074	25	11	paper	paper	NOUN
ap-2074	25	12	[	[	X
ap-2074	25	13	5	5	NUM
ap-2074	25	14	]	]	PUNCT
ap-2074	25	15	,	,	PUNCT
ap-2074	25	16	however	however	ADV
ap-2074	25	17	,	,	PUNCT
ap-2074	25	18	with	with	ADP
ap-2074	25	19	the	the	DET
ap-2074	25	20	single	single	ADJ
ap-2074	25	21	,	,	PUNCT
ap-2074	25	22	ccm	ccm	NOUN
ap-2074	25	23	-	-	PUNCT
ap-2074	25	24	adapted	adapt	VERB
ap-2074	25	25	exception	exception	NOUN
ap-2074	25	26	of	of	ADP
ap-2074	25	27	an	an	DET
ap-2074	25	28	interchange	interchange	NOUN
ap-2074	25	29	of	of	ADP
ap-2074	25	30	the	the	DET
ap-2074	25	31	meaning	meaning	NOUN
ap-2074	25	32	of	of	ADP
ap-2074	25	33	the	the	DET
ap-2074	25	34	lowerand	lowerand	ADJ
ap-2074	25	35	upper	upper	ADJ
ap-2074	25	36	-	-	PUNCT
ap-2074	25	37	case	case	NOUN
ap-2074	25	38	symbols	symbol	NOUN
ap-2074	25	39	for	for	ADP
ap-2074	25	40	the	the	DET
ap-2074	25	41	hamiltonian	hamiltonian	NOUN
ap-2074	25	42	.	.	PUNCT
ap-2074	26	1	for	for	ADP
ap-2074	26	2	the	the	DET
ap-2074	26	3	sake	sake	NOUN
ap-2074	26	4	of	of	ADP
ap-2074	26	5	clarity	clarity	NOUN
ap-2074	26	6	,	,	PUNCT
ap-2074	26	7	table	table	NOUN
ap-2074	26	8	1	1	NUM
ap-2074	26	9	offers	offer	VERB
ap-2074	26	10	the	the	DET
ap-2074	26	11	explicit	explicit	ADJ
ap-2074	26	12	translation	translation	NOUN
ap-2074	26	13	of	of	ADP
ap-2074	26	14	the	the	DET
ap-2074	26	15	present	present	ADJ
ap-2074	26	16	notation	notation	NOUN
ap-2074	26	17	conventions	convention	NOUN
ap-2074	26	18	(	(	PUNCT
ap-2074	26	19	as	as	SCONJ
ap-2074	26	20	displayed	display	VERB
ap-2074	26	21	in	in	ADP
ap-2074	26	22	the	the	DET
ap-2074	26	23	first	first	ADJ
ap-2074	26	24	column	column	NOUN
ap-2074	26	25	)	)	PUNCT
ap-2074	26	26	to	to	ADP
ap-2074	26	27	the	the	DET
ap-2074	26	28	language	language	NOUN
ap-2074	26	29	of	of	ADP
ap-2074	26	30	[	[	X
ap-2074	26	31	5	5	NUM
ap-2074	26	32	]	]	PUNCT
ap-2074	26	33	(	(	PUNCT
ap-2074	26	34	given	give	VERB
ap-2074	26	35	in	in	ADP
ap-2074	26	36	the	the	DET
ap-2074	26	37	second	second	ADJ
ap-2074	26	38	column	column	NOUN
ap-2074	26	39	)	)	PUNCT
ap-2074	26	40	.	.	PUNCT
ap-2074	27	1	subsequently	subsequently	ADV
ap-2074	27	2	,	,	PUNCT
ap-2074	27	3	in	in	ADP
ap-2074	27	4	section	section	NOUN
ap-2074	27	5	3	3	NUM
ap-2074	27	6	an	an	DET
ap-2074	27	7	overall	overall	ADJ
ap-2074	27	8	review	review	NOUN
ap-2074	27	9	of	of	ADP
ap-2074	27	10	the	the	DET
ap-2074	27	11	key	key	ADJ
ap-2074	27	12	ideas	idea	NOUN
ap-2074	27	13	of	of	ADP
ap-2074	27	14	ccm	ccm	NOUN
ap-2074	27	15	constructions	construction	NOUN
ap-2074	27	16	will	will	AUX
ap-2074	27	17	be	be	AUX
ap-2074	27	18	recalled	recall	VERB
ap-2074	27	19	,	,	PUNCT
ap-2074	27	20	and	and	CCONJ
ap-2074	27	21	their	their	PRON
ap-2074	27	22	reinterpretation	reinterpretation	NOUN
ap-2074	27	23	within	within	ADP
ap-2074	27	24	the	the	DET
ap-2074	27	25	general	general	ADJ
ap-2074	27	26	ths	th	NOUN
ap-2074	27	27	scheme	scheme	NOUN
ap-2074	27	28	will	will	AUX
ap-2074	27	29	be	be	AUX
ap-2074	27	30	described	describe	VERB
ap-2074	27	31	.	.	PUNCT
ap-2074	28	1	section	section	NOUN
ap-2074	28	2	4	4	NUM
ap-2074	28	3	will	will	AUX
ap-2074	28	4	finally	finally	ADV
ap-2074	28	5	summarize	summarize	VERB
ap-2074	28	6	our	our	PRON
ap-2074	28	7	observations	observation	NOUN
ap-2074	28	8	and	and	CCONJ
ap-2074	28	9	proposals	proposal	NOUN
ap-2074	28	10	.	.	PUNCT
ap-2074	29	1	2	2	X
ap-2074	29	2	.	.	NOUN
ap-2074	29	3	ths	th	NOUN
ap-2074	29	4	representation	representation	NOUN
ap-2074	29	5	of	of	ADP
ap-2074	29	6	a	a	DET
ap-2074	29	7	quantum	quantum	ADJ
ap-2074	29	8	system	system	NOUN
ap-2074	29	9	2.1	2.1	NUM
ap-2074	29	10	.	.	PUNCT
ap-2074	30	1	inspiration	inspiration	NOUN
ap-2074	30	2	:	:	PUNCT
ap-2074	30	3	fourier	fourier	NOUN
ap-2074	30	4	transform	transform	VERB
ap-2074	30	5	the	the	DET
ap-2074	30	6	most	most	ADV
ap-2074	30	7	elementary	elementary	ADJ
ap-2074	30	8	one	one	NUM
ap-2074	30	9	-	-	PUNCT
ap-2074	30	10	dimensional	dimensional	ADJ
ap-2074	30	11	harmonic	harmonic	ADJ
ap-2074	30	12	-	-	PUNCT
ap-2074	30	13	oscillator	oscillator	NOUN
ap-2074	30	14	hamiltonian	hamiltonian	NOUN
ap-2074	30	15	h(ho	h(ho	NOUN
ap-2074	30	16	)	)	PUNCT
ap-2074	30	17	=	=	SYM
ap-2074	30	18	−	−	PROPN
ap-2074	30	19	d2	d2	PROPN
ap-2074	30	20	dx2	dx2	PROPN
ap-2074	31	1	+	+	CCONJ
ap-2074	31	2	x2	x2	PROPN
ap-2074	31	3	may	may	AUX
ap-2074	31	4	be	be	AUX
ap-2074	31	5	recalled	recall	VERB
ap-2074	31	6	as	as	ADP
ap-2074	31	7	one	one	NUM
ap-2074	31	8	of	of	ADP
ap-2074	31	9	the	the	DET
ap-2074	31	10	best	well	ADV
ap-2074	31	11	known	know	VERB
ap-2074	31	12	examples	example	NOUN
ap-2074	31	13	of	of	ADP
ap-2074	31	14	an	an	DET
ap-2074	31	15	operator	operator	NOUN
ap-2074	31	16	representing	represent	VERB
ap-2074	31	17	a	a	DET
ap-2074	31	18	typical	typical	ADJ
ap-2074	31	19	quantum	quantum	NOUN
ap-2074	31	20	observable	observable	ADJ
ap-2074	31	21	.	.	PUNCT
ap-2074	32	1	it	it	PRON
ap-2074	32	2	enters	enter	VERB
ap-2074	32	3	the	the	DET
ap-2074	32	4	ordinary	ordinary	ADJ
ap-2074	32	5	differential	differential	ADJ
ap-2074	32	6	schrödinger	schrödinger	ADJ
ap-2074	32	7	equation	equation	NOUN
ap-2074	32	8	h(ho)ψ(p	h(ho)ψ(p	NOUN
ap-2074	32	9	)	)	PUNCT
ap-2074	33	1	n	n	CCONJ
ap-2074	33	2	(	(	PUNCT
ap-2074	33	3	x	x	X
ap-2074	33	4	)	)	PUNCT
ap-2074	33	5	=	=	SYM
ap-2074	33	6	e(ho	e(ho	NOUN
ap-2074	33	7	)	)	PUNCT
ap-2074	33	8	n	n	PRON
ap-2074	33	9	ψ(p	ψ(p	PROPN
ap-2074	33	10	)	)	PUNCT
ap-2074	34	1	n	n	CCONJ
ap-2074	34	2	(	(	PUNCT
ap-2074	34	3	x	x	NOUN
ap-2074	34	4	)	)	PUNCT
ap-2074	34	5	,	,	PUNCT
ap-2074	34	6	ψ(p	ψ(p	PROPN
ap-2074	34	7	)	)	PUNCT
ap-2074	34	8	n	n	CCONJ
ap-2074	34	9	(	(	PUNCT
ap-2074	34	10	x	x	X
ap-2074	34	11	)	)	PUNCT
ap-2074	34	12	∈	∈	PROPN
ap-2074	34	13	l2(r	l2(r	PROPN
ap-2074	34	14	)	)	PUNCT
ap-2074	34	15	,	,	PUNCT
ap-2074	34	16	n	n	NOUN
ap-2074	34	17	=	=	SYM
ap-2074	34	18	0	0	NUM
ap-2074	34	19	,	,	PUNCT
ap-2074	34	20	1	1	NUM
ap-2074	34	21	,	,	PUNCT
ap-2074	34	22	.	.	PUNCT
ap-2074	34	23	.	.	PUNCT
ap-2074	34	24	.	.	PUNCT
ap-2074	35	1	(	(	PUNCT
ap-2074	35	2	4	4	X
ap-2074	35	3	)	)	PUNCT
ap-2074	35	4	for	for	ADP
ap-2074	35	5	“	"	PUNCT
ap-2074	35	6	physical	physical	ADJ
ap-2074	35	7	”	"	PUNCT
ap-2074	35	8	wave	wave	NOUN
ap-2074	35	9	functions	function	NOUN
ap-2074	35	10	ψ(p	ψ(p	PROPN
ap-2074	35	11	)	)	PUNCT
ap-2074	36	1	n	n	CCONJ
ap-2074	36	2	(	(	PUNCT
ap-2074	36	3	x	x	NOUN
ap-2074	36	4	)	)	PUNCT
ap-2074	36	5	.	.	PUNCT
ap-2074	37	1	the	the	DET
ap-2074	37	2	solution	solution	NOUN
ap-2074	37	3	of	of	ADP
ap-2074	37	4	this	this	DET
ap-2074	37	5	eigenvalue	eigenvalue	NOUN
ap-2074	37	6	problem	problem	NOUN
ap-2074	37	7	yields	yield	VERB
ap-2074	37	8	the	the	DET
ap-2074	37	9	well	well	ADV
ap-2074	37	10	known	know	VERB
ap-2074	37	11	discrete	discrete	ADJ
ap-2074	37	12	spectrum	spectrum	NOUN
ap-2074	37	13	of	of	ADP
ap-2074	37	14	bound	bind	VERB
ap-2074	37	15	-	-	PUNCT
ap-2074	37	16	state	state	NOUN
ap-2074	37	17	energies	energy	NOUN
ap-2074	37	18	e0	e0	PROPN
ap-2074	37	19	=	=	SYM
ap-2074	37	20	1	1	NUM
ap-2074	37	21	,	,	PUNCT
ap-2074	37	22	e1	e1	NOUN
ap-2074	37	23	=	=	SYM
ap-2074	37	24	3	3	NUM
ap-2074	37	25	,	,	PUNCT
ap-2074	37	26	e2	e2	PROPN
ap-2074	37	27	=	=	SYM
ap-2074	37	28	5	5	NUM
ap-2074	37	29	,	,	PUNCT
ap-2074	37	30	.	.	PUNCT
ap-2074	37	31	.	.	PUNCT
ap-2074	37	32	.	.	PUNCT
ap-2074	38	1	,	,	PUNCT
ap-2074	38	2	while	while	SCONJ
ap-2074	38	3	the	the	DET
ap-2074	38	4	related	relate	VERB
ap-2074	38	5	wave	wave	NOUN
ap-2074	38	6	functions	function	NOUN
ap-2074	38	7	belong	belong	VERB
ap-2074	38	8	to	to	ADP
ap-2074	38	9	the	the	DET
ap-2074	38	10	most	most	ADV
ap-2074	38	11	common	common	ADJ
ap-2074	38	12	hilbert	hilbert	NOUN
ap-2074	38	13	space	space	NOUN
ap-2074	38	14	of	of	ADP
ap-2074	38	15	square	square	ADJ
ap-2074	38	16	-	-	PUNCT
ap-2074	38	17	integrable	integrable	ADJ
ap-2074	38	18	complex	complex	ADJ
ap-2074	38	19	functions	function	NOUN
ap-2074	38	20	of	of	ADP
ap-2074	38	21	x	x	PROPN
ap-2074	38	22	∈	∈	PROPN
ap-2074	38	23	r.	r.	NOUN
ap-2074	38	24	the	the	DET
ap-2074	38	25	argument	argument	NOUN
ap-2074	38	26	x	x	X
ap-2074	38	27	of	of	ADP
ap-2074	38	28	the	the	DET
ap-2074	38	29	wave	wave	NOUN
ap-2074	38	30	functions	function	NOUN
ap-2074	38	31	coincides	coincide	VERB
ap-2074	38	32	with	with	ADP
ap-2074	38	33	an	an	DET
ap-2074	38	34	admissible	admissible	ADJ
ap-2074	38	35	value	value	NOUN
ap-2074	38	36	of	of	ADP
ap-2074	38	37	the	the	DET
ap-2074	38	38	position	position	NOUN
ap-2074	38	39	of	of	ADP
ap-2074	38	40	the	the	DET
ap-2074	38	41	quantum	quantum	ADJ
ap-2074	38	42	particle	particle	NOUN
ap-2074	38	43	in	in	ADP
ap-2074	38	44	question	question	NOUN
ap-2074	38	45	.	.	PUNCT
ap-2074	39	1	in	in	ADP
ap-2074	39	2	other	other	ADJ
ap-2074	39	3	words	word	NOUN
ap-2074	39	4	,	,	PUNCT
ap-2074	39	5	the	the	DET
ap-2074	39	6	(	(	PUNCT
ap-2074	39	7	p	p	NOUN
ap-2074	39	8	)	)	PUNCT
ap-2074	39	9	-superscripted	-superscripted	ADJ
ap-2074	39	10	complex	complex	ADJ
ap-2074	39	11	functions	function	NOUN
ap-2074	39	12	ψ	ψ	X
ap-2074	39	13	(	(	PUNCT
ap-2074	39	14	p	p	NOUN
ap-2074	39	15	)	)	PUNCT
ap-2074	39	16	n	n	PROPN
ap-2074	39	17	(	(	PUNCT
ap-2074	39	18	x	x	X
ap-2074	39	19	)	)	PUNCT
ap-2074	39	20	may	may	AUX
ap-2074	39	21	be	be	AUX
ap-2074	39	22	interpreted	interpret	VERB
ap-2074	39	23	as	as	ADP
ap-2074	39	24	yielding	yield	VERB
ap-2074	39	25	the	the	DET
ap-2074	39	26	probability	probability	NOUN
ap-2074	39	27	density	density	NOUN
ap-2074	39	28	of	of	ADP
ap-2074	39	29	finding	find	VERB
ap-2074	39	30	the	the	DET
ap-2074	39	31	particle	particle	NOUN
ap-2074	39	32	at	at	ADP
ap-2074	39	33	spatial	spatial	ADJ
ap-2074	39	34	point	point	NOUN
ap-2074	39	35	x	x	X
ap-2074	39	36	∈	∈	PROPN
ap-2074	39	37	r.	r.	NOUN
ap-2074	39	38	the	the	DET
ap-2074	39	39	wave	wave	NOUN
ap-2074	39	40	functions	function	NOUN
ap-2074	39	41	in	in	ADP
ap-2074	39	42	question	question	NOUN
ap-2074	39	43	live	live	ADV
ap-2074	39	44	in	in	ADP
ap-2074	39	45	a	a	DET
ap-2074	39	46	physical	physical	ADJ
ap-2074	39	47	hilbert	hilbert	NOUN
ap-2074	39	48	space	space	NOUN
ap-2074	39	49	l2(r	l2(r	NOUN
ap-2074	39	50	)	)	PUNCT
ap-2074	39	51	≡	≡	PROPN
ap-2074	39	52	h(p	h(p	PROPN
ap-2074	39	53	)	)	PUNCT
ap-2074	39	54	.	.	PUNCT
ap-2074	40	1	formally	formally	ADV
ap-2074	40	2	,	,	PUNCT
ap-2074	40	3	these	these	DET
ap-2074	40	4	functions	function	NOUN
ap-2074	40	5	may	may	AUX
ap-2074	40	6	be	be	AUX
ap-2074	40	7	represented	represent	VERB
ap-2074	40	8	as	as	ADP
ap-2074	40	9	fourier	fourier	NOUN
ap-2074	40	10	transforms	transform	NOUN
ap-2074	40	11	of	of	ADP
ap-2074	40	12	elements	element	NOUN
ap-2074	40	13	of	of	ADP
ap-2074	40	14	a	a	DET
ap-2074	40	15	,	,	PUNCT
ap-2074	40	16	supposedly	supposedly	ADV
ap-2074	40	17	,	,	PUNCT
ap-2074	40	18	“	"	PUNCT
ap-2074	40	19	friendlier	friendly	ADJ
ap-2074	40	20	”	"	PUNCT
ap-2074	40	21	hilbert	hilbert	NOUN
ap-2074	40	22	space	space	NOUN
ap-2074	40	23	,	,	PUNCT
ap-2074	40	24	ψ	ψ	X
ap-2074	40	25	(	(	PUNCT
ap-2074	40	26	p	p	NOUN
ap-2074	40	27	)	)	PUNCT
ap-2074	40	28	n	n	NOUN
ap-2074	40	29	=	=	NOUN
ap-2074	40	30	fψ(f	fψ(f	X
ap-2074	40	31	)	)	PUNCT
ap-2074	40	32	n	n	X
ap-2074	40	33	,	,	PUNCT
ap-2074	40	34	ψ(f	ψ(f	NOUN
ap-2074	40	35	)	)	PUNCT
ap-2074	41	1	n	n	CCONJ
ap-2074	41	2	∈	∈	PROPN
ap-2074	41	3	h(f	h(f	PROPN
ap-2074	41	4	)	)	PUNCT
ap-2074	41	5	.	.	PUNCT
ap-2074	42	1	by	by	ADP
ap-2074	42	2	construction	construction	NOUN
ap-2074	42	3	,	,	PUNCT
ap-2074	42	4	the	the	DET
ap-2074	42	5	latter	latter	ADJ
ap-2074	42	6	space	space	NOUN
ap-2074	42	7	is	be	AUX
ap-2074	42	8	also	also	ADV
ap-2074	42	9	l2(r	l2(r	NOUN
ap-2074	42	10	)	)	PUNCT
ap-2074	42	11	but	but	CCONJ
ap-2074	42	12	the	the	DET
ap-2074	42	13	physical	physical	ADJ
ap-2074	42	14	meaning	meaning	NOUN
ap-2074	42	15	of	of	ADP
ap-2074	42	16	the	the	DET
ap-2074	42	17	argument	argument	NOUN
ap-2074	42	18	p	p	PROPN
ap-2074	42	19	∈	∈	PROPN
ap-2074	42	20	r	r	NOUN
ap-2074	42	21	of	of	ADP
ap-2074	42	22	the	the	DET
ap-2074	42	23	new	new	ADJ
ap-2074	42	24	wave	wave	NOUN
ap-2074	42	25	functions	function	NOUN
ap-2074	42	26	ψ(f	ψ(f	NOUN
ap-2074	42	27	)	)	PUNCT
ap-2074	42	28	n	n	CCONJ
ap-2074	42	29	(	(	PUNCT
ap-2074	42	30	p	p	X
ap-2074	42	31	)	)	PUNCT
ap-2074	42	32	is	be	AUX
ap-2074	42	33	different	different	ADJ
ap-2074	42	34	.	.	PUNCT
ap-2074	43	1	at	at	ADP
ap-2074	43	2	the	the	DET
ap-2074	43	3	same	same	ADJ
ap-2074	43	4	time	time	NOUN
ap-2074	43	5	,	,	PUNCT
ap-2074	43	6	the	the	DET
ap-2074	43	7	primary	primary	ADJ
ap-2074	43	8	observable	observable	ADJ
ap-2074	43	9	(	(	PUNCT
ap-2074	43	10	i.e.	i.e.	X
ap-2074	43	11	,	,	PUNCT
ap-2074	43	12	the	the	DET
ap-2074	43	13	energy	energy	NOUN
ap-2074	43	14	)	)	PUNCT
ap-2074	43	15	remains	remain	VERB
ap-2074	43	16	unchanged	unchanged	ADJ
ap-2074	43	17	.	.	PUNCT
ap-2074	44	1	in	in	ADP
ap-2074	44	2	practice	practice	NOUN
ap-2074	44	3	,	,	PUNCT
ap-2074	44	4	the	the	DET
ap-2074	44	5	harmonic	harmonic	ADJ
ap-2074	44	6	oscillator	oscillator	NOUN
ap-2074	44	7	appears	appear	VERB
ap-2074	44	8	equally	equally	ADV
ap-2074	44	9	well	well	ADV
ap-2074	44	10	represented	represent	VERB
ap-2074	44	11	in	in	ADP
ap-2074	44	12	both	both	PRON
ap-2074	44	13	of	of	ADP
ap-2074	44	14	the	the	DET
ap-2074	44	15	hilbert	hilbert	NOUN
ap-2074	44	16	spaces	space	VERB
ap-2074	44	17	h(p	h(p	PROPN
ap-2074	44	18	,	,	PUNCT
ap-2074	44	19	f	f	PROPN
ap-2074	44	20	)	)	PUNCT
ap-2074	44	21	.	.	PUNCT
ap-2074	45	1	whenever	whenever	SCONJ
ap-2074	45	2	one	one	PRON
ap-2074	45	3	moves	move	NOUN
ap-2074	45	4	to	to	ADP
ap-2074	45	5	a	a	DET
ap-2074	45	6	more	more	ADV
ap-2074	45	7	complicated	complicated	ADJ
ap-2074	45	8	model	model	NOUN
ap-2074	45	9	,	,	PUNCT
ap-2074	45	10	however	however	ADV
ap-2074	45	11	,	,	PUNCT
ap-2074	45	12	one	one	PRON
ap-2074	45	13	may	may	AUX
ap-2074	45	14	find	find	VERB
ap-2074	45	15	that	that	SCONJ
ap-2074	45	16	one	one	NUM
ap-2074	45	17	of	of	ADP
ap-2074	45	18	these	these	DET
ap-2074	45	19	spaces	space	NOUN
ap-2074	45	20	is	be	AUX
ap-2074	45	21	preferable	preferable	ADJ
ap-2074	45	22	.	.	PUNCT
ap-2074	46	1	in	in	ADP
ap-2074	46	2	other	other	ADJ
ap-2074	46	3	words	word	NOUN
ap-2074	46	4	,	,	PUNCT
ap-2074	46	5	a	a	DET
ap-2074	46	6	unitary	unitary	ADJ
ap-2074	46	7	-	-	PUNCT
ap-2074	46	8	mappingmediated	mappingmediate	VERB
ap-2074	46	9	transition	transition	NOUN
ap-2074	46	10	to	to	ADP
ap-2074	46	11	a	a	DET
ap-2074	46	12	potentially	potentially	ADV
ap-2074	46	13	friendlier	friendly	ADJ
ap-2074	46	14	hilbert	hilbert	NOUN
ap-2074	46	15	space	space	NOUN
ap-2074	46	16	h(f	h(f	PROPN
ap-2074	46	17	)	)	PUNCT
ap-2074	46	18	should	should	AUX
ap-2074	46	19	be	be	AUX
ap-2074	46	20	employed	employ	VERB
ap-2074	46	21	whenever	whenever	SCONJ
ap-2074	46	22	it	it	PRON
ap-2074	46	23	appears	appear	VERB
ap-2074	46	24	to	to	PART
ap-2074	46	25	lead	lead	VERB
ap-2074	46	26	,	,	PUNCT
ap-2074	46	27	say	say	VERB
ap-2074	46	28	,	,	PUNCT
ap-2074	46	29	to	to	ADP
ap-2074	46	30	a	a	DET
ap-2074	46	31	simplification	simplification	NOUN
ap-2074	46	32	of	of	ADP
ap-2074	46	33	the	the	DET
ap-2074	46	34	calculation	calculation	NOUN
ap-2074	46	35	of	of	ADP
ap-2074	46	36	the	the	DET
ap-2074	46	37	energies	energy	NOUN
ap-2074	46	38	or	or	CCONJ
ap-2074	46	39	of	of	ADP
ap-2074	46	40	the	the	DET
ap-2074	46	41	wave	wave	NOUN
ap-2074	46	42	functions	function	NOUN
ap-2074	46	43	.	.	PUNCT
ap-2074	47	1	we	we	PRON
ap-2074	47	2	only	only	ADV
ap-2074	47	3	have	have	VERB
ap-2074	47	4	to	to	PART
ap-2074	47	5	add	add	VERB
ap-2074	47	6	here	here	ADV
ap-2074	47	7	that	that	SCONJ
ap-2074	47	8	the	the	DET
ap-2074	47	9	same	same	ADJ
ap-2074	47	10	recommendation	recommendation	NOUN
ap-2074	47	11	remains	remain	VERB
ap-2074	47	12	valid	valid	ADJ
ap-2074	47	13	even	even	ADV
ap-2074	47	14	for	for	ADP
ap-2074	47	15	mappings	mapping	NOUN
ap-2074	47	16	h(p	h(p	PROPN
ap-2074	47	17	)	)	PUNCT
ap-2074	48	1	↔	↔	PROPN
ap-2074	48	2	h(f	h(f	X
ap-2074	48	3	)	)	PUNCT
ap-2074	48	4	which	which	PRON
ap-2074	48	5	cease	cease	VERB
ap-2074	48	6	to	to	PART
ap-2074	48	7	be	be	AUX
ap-2074	48	8	unitary	unitary	ADJ
ap-2074	48	9	.	.	PUNCT
ap-2074	49	1	in	in	ADP
ap-2074	49	2	this	this	DET
ap-2074	49	3	sense	sense	NOUN
ap-2074	49	4	,	,	PUNCT
ap-2074	49	5	our	our	PRON
ap-2074	49	6	freedom	freedom	NOUN
ap-2074	49	7	of	of	ADP
ap-2074	49	8	choosing	choose	VERB
ap-2074	49	9	between	between	ADP
ap-2074	49	10	the	the	DET
ap-2074	49	11	upperand	upperand	ADJ
ap-2074	49	12	lower	low	ADJ
ap-2074	49	13	-	-	PUNCT
ap-2074	49	14	case	case	NOUN
ap-2074	49	15	hamiltonians	hamiltonian	NOUN
ap-2074	49	16	as	as	SCONJ
ap-2074	49	17	expressed	express	VERB
ap-2074	49	18	in	in	ADP
ap-2074	49	19	eq	eq	ADP
ap-2074	49	20	.	.	PUNCT
ap-2074	50	1	(	(	PUNCT
ap-2074	50	2	1	1	X
ap-2074	50	3	)	)	PUNCT
ap-2074	50	4	may	may	AUX
ap-2074	50	5	prove	prove	VERB
ap-2074	50	6	important	important	ADJ
ap-2074	50	7	,	,	PUNCT
ap-2074	50	8	say	say	INTJ
ap-2074	50	9	,	,	PUNCT
ap-2074	50	10	as	as	ADP
ap-2074	50	11	a	a	DET
ap-2074	50	12	source	source	NOUN
ap-2074	50	13	of	of	ADP
ap-2074	50	14	acceleration	acceleration	NOUN
ap-2074	50	15	of	of	ADP
ap-2074	50	16	the	the	DET
ap-2074	50	17	rate	rate	NOUN
ap-2074	50	18	of	of	ADP
ap-2074	50	19	convergence	convergence	NOUN
ap-2074	50	20	of	of	ADP
ap-2074	50	21	various	various	ADJ
ap-2074	50	22	numerical	numerical	ADJ
ap-2074	50	23	or	or	CCONJ
ap-2074	50	24	variational	variational	ADJ
ap-2074	50	25	calculations	calculation	NOUN
ap-2074	50	26	(	(	PUNCT
ap-2074	50	27	see	see	VERB
ap-2074	50	28	,	,	PUNCT
ap-2074	50	29	e.g.	e.g.	ADV
ap-2074	50	30	,	,	PUNCT
ap-2074	50	31	their	their	PRON
ap-2074	50	32	review	review	NOUN
ap-2074	50	33	in	in	ADP
ap-2074	50	34	[	[	X
ap-2074	50	35	4	4	NUM
ap-2074	50	36	]	]	NUM
ap-2074	50	37	)	)	PUNCT
ap-2074	50	38	.	.	PUNCT
ap-2074	51	1	2.2	2.2	NUM
ap-2074	51	2	.	.	PUNCT
ap-2074	52	1	non	non	ADJ
ap-2074	52	2	-	-	ADJ
ap-2074	52	3	unitary	unitary	ADJ
ap-2074	52	4	mappings	mapping	NOUN
ap-2074	52	5	ω	ω	NOUN
ap-2074	52	6	=	=	SYM
ap-2074	52	7	exp	exp	NOUN
ap-2074	52	8	s	s	PART
ap-2074	52	9	our	our	PRON
ap-2074	52	10	present	present	ADJ
ap-2074	52	11	text	text	NOUN
ap-2074	52	12	is	be	AUX
ap-2074	52	13	basically	basically	ADV
ap-2074	52	14	inspired	inspire	VERB
ap-2074	52	15	by	by	ADP
ap-2074	52	16	the	the	DET
ap-2074	52	17	recent	recent	ADJ
ap-2074	52	18	growth	growth	NOUN
ap-2074	52	19	in	in	ADP
ap-2074	52	20	popularity	popularity	NOUN
ap-2074	52	21	of	of	ADP
ap-2074	52	22	quantum	quantum	NOUN
ap-2074	52	23	models	model	NOUN
ap-2074	52	24	in	in	ADP
ap-2074	52	25	which	which	PRON
ap-2074	52	26	the	the	DET
ap-2074	52	27	ad	ad	X
ap-2074	52	28	hoc	hoc	X
ap-2074	52	29	non	non	ADJ
ap-2074	52	30	-	-	ADJ
ap-2074	52	31	unitary	unitary	ADJ
ap-2074	52	32	isospectral	isospectral	ADJ
ap-2074	52	33	transformations	transformation	NOUN
ap-2074	52	34	h	h	NOUN
ap-2074	52	35	→	→	X
ap-2074	52	36	ĥ	ĥ	X
ap-2074	52	37	=	=	SYM
ap-2074	52	38	ω−1h	ω−1h	PROPN
ap-2074	52	39	ω	ω	PROPN
ap-2074	52	40	(	(	PUNCT
ap-2074	52	41	5	5	NUM
ap-2074	52	42	)	)	PUNCT
ap-2074	52	43	perceivably	perceivably	ADV
ap-2074	52	44	simplify	simplify	VERB
ap-2074	52	45	the	the	DET
ap-2074	52	46	hamiltonian	hamiltonian	NOUN
ap-2074	52	47	.	.	PUNCT
ap-2074	53	1	thus	thus	ADV
ap-2074	53	2	,	,	PUNCT
ap-2074	53	3	eq	eq	ADJ
ap-2074	53	4	.	.	PUNCT
ap-2074	54	1	(	(	PUNCT
ap-2074	54	2	5	5	X
ap-2074	54	3	)	)	PUNCT
ap-2074	54	4	offers	offer	VERB
ap-2074	54	5	a	a	DET
ap-2074	54	6	path	path	NOUN
ap-2074	54	7	towards	towards	ADP
ap-2074	54	8	the	the	DET
ap-2074	54	9	feasibility	feasibility	NOUN
ap-2074	54	10	of	of	ADP
ap-2074	54	11	the	the	DET
ap-2074	54	12	evaluation	evaluation	NOUN
ap-2074	54	13	of	of	ADP
ap-2074	54	14	bound	bind	VERB
ap-2074	54	15	-	-	PUNCT
ap-2074	54	16	state	state	NOUN
ap-2074	54	17	energies	energy	NOUN
ap-2074	54	18	in	in	ADP
ap-2074	54	19	complicated	complicated	ADJ
ap-2074	54	20	quantum	quantum	NOUN
ap-2074	54	21	systems	system	NOUN
ap-2074	54	22	via	via	ADP
ap-2074	54	23	an	an	DET
ap-2074	54	24	ω	ω	ADV
ap-2074	54	25	-	-	PUNCT
ap-2074	54	26	mediated	mediate	VERB
ap-2074	54	27	transition	transition	NOUN
ap-2074	54	28	from	from	ADP
ap-2074	54	29	a	a	DET
ap-2074	54	30	complicated	complicated	ADJ
ap-2074	54	31	“	"	PUNCT
ap-2074	54	32	primary	primary	ADJ
ap-2074	54	33	”	"	PUNCT
ap-2074	54	34	hilbert	hilbert	NOUN
ap-2074	54	35	space	space	NOUN
ap-2074	54	36	h(p	h(p	PROPN
ap-2074	54	37	)	)	PUNCT
ap-2074	54	38	to	to	ADP
ap-2074	54	39	a	a	DET
ap-2074	54	40	“	"	PUNCT
ap-2074	54	41	friendlier	friendly	ADJ
ap-2074	54	42	”	"	PUNCT
ap-2074	54	43	hilbert	hilbert	NOUN
ap-2074	54	44	space	space	NOUN
ap-2074	54	45	h(f	h(f	PROPN
ap-2074	54	46	)	)	PUNCT
ap-2074	54	47	.	.	PUNCT
ap-2074	55	1	2.2.1	2.2.1	NUM
ap-2074	55	2	.	.	PUNCT
ap-2074	56	1	crypto	crypto	NOUN
ap-2074	56	2	-	-	ADJ
ap-2074	56	3	hermitian	hermitian	ADJ
ap-2074	56	4	ibm	ibm	PROPN
ap-2074	56	5	method	method	NOUN
ap-2074	56	6	one	one	PRON
ap-2074	56	7	should	should	AUX
ap-2074	56	8	distinguish	distinguish	VERB
ap-2074	56	9	between	between	ADP
ap-2074	56	10	several	several	ADJ
ap-2074	56	11	non	non	ADJ
ap-2074	56	12	-	-	ADJ
ap-2074	56	13	equivalent	equivalent	ADJ
ap-2074	56	14	applications	application	NOUN
ap-2074	56	15	of	of	ADP
ap-2074	56	16	the	the	DET
ap-2074	56	17	above	above	ADV
ap-2074	56	18	-	-	PUNCT
ap-2074	56	19	outlined	outline	VERB
ap-2074	56	20	ideas	idea	NOUN
ap-2074	56	21	.	.	PUNCT
ap-2074	57	1	in	in	ADP
ap-2074	57	2	one	one	NUM
ap-2074	57	3	of	of	ADP
ap-2074	57	4	the	the	DET
ap-2074	57	5	key	key	ADJ
ap-2074	57	6	references	reference	NOUN
ap-2074	57	7	on	on	ADP
ap-2074	57	8	the	the	DET
ap-2074	57	9	whole	whole	ADJ
ap-2074	57	10	subject	subject	NOUN
ap-2074	57	11	[	[	X
ap-2074	57	12	4	4	NUM
ap-2074	57	13	]	]	PUNCT
ap-2074	57	14	,	,	PUNCT
ap-2074	57	15	the	the	DET
ap-2074	57	16	authors	author	NOUN
ap-2074	57	17	start	start	VERB
ap-2074	57	18	from	from	ADP
ap-2074	57	19	the	the	DET
ap-2074	57	20	knowledge	knowledge	NOUN
ap-2074	57	21	of	of	ADP
ap-2074	57	22	an	an	DET
ap-2074	57	23	overcomplicated	overcomplicated	ADJ
ap-2074	57	24	h	h	NOUN
ap-2074	57	25	and	and	CCONJ
ap-2074	57	26	from	from	ADP
ap-2074	57	27	a	a	DET
ap-2074	57	28	qualified	qualified	ADJ
ap-2074	57	29	guess	guess	NOUN
ap-2074	57	30	of	of	ADP
ap-2074	57	31	a	a	DET
ap-2074	57	32	suitable	suitable	ADJ
ap-2074	57	33	simplification	simplification	NOUN
ap-2074	57	34	mapping	mapping	NOUN
ap-2074	57	35	ω	ω	PROPN
ap-2074	57	36	6=	6=	PROPN
ap-2074	57	37	(	(	PUNCT
ap-2074	57	38	ω†	ω†	ADV
ap-2074	57	39	)	)	PUNCT
ap-2074	57	40	−1	−1	NOUN
ap-2074	57	41	.	.	PUNCT
ap-2074	58	1	for	for	ADP
ap-2074	58	2	a	a	DET
ap-2074	58	3	persuasive	persuasive	ADJ
ap-2074	58	4	illustration	illustration	NOUN
ap-2074	58	5	of	of	ADP
ap-2074	58	6	the	the	DET
ap-2074	58	7	practical	practical	ADJ
ap-2074	58	8	efficiency	efficiency	NOUN
ap-2074	58	9	of	of	ADP
ap-2074	58	10	such	such	DET
ap-2074	58	11	an	an	DET
ap-2074	58	12	approach	approach	NOUN
ap-2074	58	13	the	the	DET
ap-2074	58	14	authors	author	NOUN
ap-2074	58	15	recalled	recall	VERB
ap-2074	58	16	the	the	DET
ap-2074	58	17	so	so	ADV
ap-2074	58	18	-	-	PUNCT
ap-2074	58	19	called	call	VERB
ap-2074	58	20	interacting	interacting	ADJ
ap-2074	58	21	-	-	PUNCT
ap-2074	58	22	boson	boson	NOUN
ap-2074	58	23	-	-	PUNCT
ap-2074	58	24	model	model	NOUN
ap-2074	58	25	(	(	PUNCT
ap-2074	58	26	ibm	ibm	PROPN
ap-2074	58	27	)	)	PUNCT
ap-2074	58	28	calculations	calculation	NOUN
ap-2074	58	29	of	of	ADP
ap-2074	58	30	the	the	DET
ap-2074	58	31	spectra	spectra	NOUN
ap-2074	58	32	of	of	ADP
ap-2074	58	33	heavy	heavy	ADJ
ap-2074	58	34	atomic	atomic	ADJ
ap-2074	58	35	nuclei	nucleus	NOUN
ap-2074	58	36	.	.	PUNCT
ap-2074	59	1	using	use	VERB
ap-2074	59	2	the	the	DET
ap-2074	59	3	dyson	dyson	NOUN
ap-2074	59	4	-	-	PUNCT
ap-2074	59	5	maleev	maleev	NOUN
ap-2074	59	6	choice	choice	NOUN
ap-2074	59	7	of	of	ADP
ap-2074	59	8	the	the	DET
ap-2074	59	9	boson	boson	NOUN
ap-2074	59	10	-	-	PUNCT
ap-2074	59	11	fermion	fermion	NOUN
ap-2074	59	12	mappings	mapping	NOUN
ap-2074	59	13	ω(dyson	ω(dyson	NOUN
ap-2074	59	14	)	)	PUNCT
ap-2074	59	15	this	this	DET
ap-2074	59	16	strategy	strategy	NOUN
ap-2074	59	17	was	be	AUX
ap-2074	59	18	found	find	VERB
ap-2074	59	19	to	to	PART
ap-2074	59	20	lead	lead	VERB
ap-2074	59	21	to	to	ADP
ap-2074	59	22	successful	successful	ADJ
ap-2074	59	23	and	and	CCONJ
ap-2074	59	24	particularly	particularly	ADV
ap-2074	59	25	computation	computation	NOUN
ap-2074	59	26	-	-	PUNCT
ap-2074	59	27	friendly	friendly	ADJ
ap-2074	59	28	forms	form	NOUN
ap-2074	59	29	of	of	ADP
ap-2074	59	30	variational	variational	ADJ
ap-2074	59	31	predictions	prediction	NOUN
ap-2074	59	32	of	of	ADP
ap-2074	59	33	the	the	DET
ap-2074	59	34	measured	measured	ADJ
ap-2074	59	35	energy	energy	NOUN
ap-2074	59	36	levels	level	NOUN
ap-2074	59	37	[	[	X
ap-2074	59	38	8	8	NUM
ap-2074	59	39	]	]	PUNCT
ap-2074	59	40	.	.	PUNCT
ap-2074	60	1	the	the	DET
ap-2074	60	2	key	key	ADJ
ap-2074	60	3	condition	condition	NOUN
ap-2074	60	4	of	of	ADP
ap-2074	60	5	applicability	applicability	NOUN
ap-2074	60	6	of	of	ADP
ap-2074	60	7	the	the	DET
ap-2074	60	8	latter	latter	ADJ
ap-2074	60	9	ibm	ibm	PROPN
ap-2074	60	10	recipe	recipe	NOUN
ap-2074	60	11	may	may	AUX
ap-2074	60	12	be	be	AUX
ap-2074	60	13	seen	see	VERB
ap-2074	60	14	in	in	ADP
ap-2074	60	15	the	the	DET
ap-2074	60	16	feasibility	feasibility	NOUN
ap-2074	60	17	of	of	ADP
ap-2074	60	18	construction	construction	NOUN
ap-2074	60	19	of	of	ADP
ap-2074	60	20	the	the	DET
ap-2074	60	21	ultimate	ultimate	ADJ
ap-2074	60	22	“	"	PUNCT
ap-2074	60	23	effective	effective	ADJ
ap-2074	60	24	”	"	PUNCT
ap-2074	60	25	hamiltonian	hamiltonian	ADJ
ap-2074	60	26	ĥ	ĥ	PROPN
ap-2074	60	27	of	of	ADP
ap-2074	60	28	eq	eq	PROPN
ap-2074	60	29	.	.	PUNCT
ap-2074	61	1	(	(	PUNCT
ap-2074	61	2	5	5	NUM
ap-2074	61	3	)	)	PUNCT
ap-2074	61	4	.	.	PUNCT
ap-2074	62	1	one	one	NUM
ap-2074	62	2	arrives	arrive	VERB
ap-2074	62	3	at	at	ADP
ap-2074	62	4	a	a	DET
ap-2074	62	5	non	non	ADJ
ap-2074	62	6	-	-	ADJ
ap-2074	62	7	hermitian	hermitian	ADJ
ap-2074	62	8	operator	operator	NOUN
ap-2074	62	9	in	in	ADP
ap-2074	62	10	general	general	ADJ
ap-2074	62	11	,	,	PUNCT
ap-2074	62	12	ĥ	ĥ	X
ap-2074	62	13	6=	6=	ADP
ap-2074	62	14	ĥ†.	ĥ†.	PRON
ap-2074	63	1	it	it	PRON
ap-2074	63	2	is	be	AUX
ap-2074	63	3	worth	worth	ADJ
ap-2074	63	4	adding	add	VERB
ap-2074	63	5	that	that	SCONJ
ap-2074	63	6	an	an	DET
ap-2074	63	7	exception	exception	NOUN
ap-2074	63	8	may	may	AUX
ap-2074	63	9	occur	occur	VERB
ap-2074	63	10	when	when	SCONJ
ap-2074	63	11	the	the	DET
ap-2074	63	12	original	original	ADJ
ap-2074	63	13	self	self	NOUN
ap-2074	63	14	-	-	PUNCT
ap-2074	63	15	adjoint	adjoint	NOUN
ap-2074	63	16	hamiltonian	hamiltonian	ADJ
ap-2074	63	17	h	h	PROPN
ap-2074	63	18	accidentally	accidentally	ADV
ap-2074	63	19	happens	happen	VERB
ap-2074	63	20	to	to	PART
ap-2074	63	21	commute	commute	VERB
ap-2074	63	22	with	with	ADP
ap-2074	63	23	the	the	DET
ap-2074	63	24	operator	operator	NOUN
ap-2074	63	25	-	-	PUNCT
ap-2074	63	26	product	product	NOUN
ap-2074	63	27	symmetry	symmetry	NOUN
ap-2074	63	28	π	π	NOUN
ap-2074	63	29	=	=	SYM
ap-2074	63	30	ω	ω	PROPN
ap-2074	63	31	ω†	ω†	NOUN
ap-2074	63	32	;	;	PUNCT
ap-2074	63	33	notice	notice	VERB
ap-2074	63	34	that	that	SCONJ
ap-2074	63	35	π	π	PROPN
ap-2074	63	36	6=	6=	NUM
ap-2074	63	37	θ	θ	PROPN
ap-2074	63	38	unless	unless	SCONJ
ap-2074	63	39	we	we	PRON
ap-2074	63	40	restrict	restrict	VERB
ap-2074	63	41	attention	attention	NOUN
ap-2074	63	42	to	to	ADP
ap-2074	63	43	the	the	DET
ap-2074	63	44	mere	mere	ADJ
ap-2074	63	45	normal	normal	ADJ
ap-2074	63	46	-	-	PUNCT
ap-2074	63	47	operator	operator	NOUN
ap-2074	63	48	mappings	mapping	NOUN
ap-2074	63	49	ω	ω	NUM
ap-2074	63	50	such	such	ADJ
ap-2074	63	51	that	that	SCONJ
ap-2074	63	52	ω†ω	ω†ω	NUM
ap-2074	63	53	=	=	SYM
ap-2074	63	54	ωω†.	ωω†.	PROPN
ap-2074	63	55	whenever	whenever	SCONJ
ap-2074	63	56	ĥ	ĥ	X
ap-2074	63	57	6=	6=	ADP
ap-2074	63	58	ĥ†	ĥ†	PROPN
ap-2074	63	59	,	,	PUNCT
ap-2074	63	60	the	the	DET
ap-2074	63	61	practical	practical	ADJ
ap-2074	63	62	determination	determination	NOUN
ap-2074	63	63	of	of	ADP
ap-2074	63	64	the	the	DET
ap-2074	63	65	eigenvalues	eigenvalue	NOUN
ap-2074	63	66	of	of	ADP
ap-2074	63	67	the	the	DET
ap-2074	63	68	transformed	transform	VERB
ap-2074	63	69	hamiltonian	hamiltonian	NOUN
ap-2074	63	70	must	must	AUX
ap-2074	63	71	remain	remain	VERB
ap-2074	63	72	easy	easy	ADJ
ap-2074	63	73	and	and	CCONJ
ap-2074	63	74	efficient	efficient	ADJ
ap-2074	63	75	.	.	PUNCT
ap-2074	64	1	the	the	DET
ap-2074	64	2	reason	reason	NOUN
ap-2074	64	3	is	be	AUX
ap-2074	64	4	that	that	SCONJ
ap-2074	64	5	in	in	ADP
ap-2074	64	6	comparison	comparison	NOUN
ap-2074	64	7	with	with	ADP
ap-2074	64	8	standard	standard	ADJ
ap-2074	64	9	methods	method	NOUN
ap-2074	64	10	,	,	PUNCT
ap-2074	64	11	one	one	PRON
ap-2074	64	12	must	must	AUX
ap-2074	64	13	replace	replace	VERB
ap-2074	64	14	the	the	DET
ap-2074	64	15	usual	usual	ADJ
ap-2074	64	16	single	single	ADJ
ap-2074	64	17	time	time	NOUN
ap-2074	64	18	-	-	PUNCT
ap-2074	64	19	independent	independent	ADJ
ap-2074	64	20	schrödinger	schrödinger	ADJ
ap-2074	64	21	equation	equation	NOUN
ap-2074	64	22	by	by	ADP
ap-2074	64	23	the	the	DET
ap-2074	64	24	following	follow	VERB
ap-2074	64	25	doublet	doublet	NOUN
ap-2074	64	26	of	of	ADP
ap-2074	64	27	conjugate	conjugate	ADJ
ap-2074	64	28	eigenvalue	eigenvalue	NOUN
ap-2074	64	29	problems	problem	NOUN
ap-2074	64	30	ĥ|φn	ĥ|φn	ADP
ap-2074	64	31	〉	〉	NOUN
ap-2074	64	32	=	=	SYM
ap-2074	64	33	en|φn	en|φn	PROPN
ap-2074	64	34	〉	〉	PROPN
ap-2074	64	35	,	,	PUNCT
ap-2074	64	36	〈	〈	PROPN
ap-2074	64	37	φ̃m|ĥ	φ̃m|ĥ	NOUN
ap-2074	64	38	=	=	SYM
ap-2074	64	39	em〈φ̃m|	em〈φ̃m|	NOUN
ap-2074	64	40	,	,	PUNCT
ap-2074	64	41	n	n	CCONJ
ap-2074	64	42	,	,	PUNCT
ap-2074	64	43	m	m	VERB
ap-2074	64	44	=	=	NOUN
ap-2074	64	45	0	0	NUM
ap-2074	64	46	,	,	PUNCT
ap-2074	64	47	1	1	NUM
ap-2074	64	48	,	,	PUNCT
ap-2074	64	49	.	.	PUNCT
ap-2074	64	50	.	.	PUNCT
ap-2074	64	51	.	.	PUNCT
ap-2074	65	1	(	(	PUNCT
ap-2074	65	2	6	6	NUM
ap-2074	65	3	)	)	PUNCT
ap-2074	65	4	86	86	NUM
ap-2074	65	5	vol	vol	NOUN
ap-2074	65	6	.	.	PUNCT
ap-2074	66	1	54	54	NUM
ap-2074	66	2	no	no	NOUN
ap-2074	66	3	.	.	PUNCT
ap-2074	67	1	2/2014	2/2014	PROPN
ap-2074	68	1	the	the	DET
ap-2074	68	2	coupled	couple	VERB
ap-2074	68	3	-	-	PUNCT
ap-2074	68	4	cluster	cluster	NOUN
ap-2074	68	5	approach	approach	NOUN
ap-2074	68	6	to	to	ADP
ap-2074	68	7	quantum	quantum	ADJ
ap-2074	68	8	many	many	ADJ
ap-2074	68	9	-	-	PUNCT
ap-2074	68	10	body	body	NOUN
ap-2074	68	11	problem	problem	NOUN
ap-2074	68	12	concept	concept	NOUN
ap-2074	68	13	ccm	ccm	NOUN
ap-2074	68	14	[	[	X
ap-2074	68	15	3	3	NUM
ap-2074	68	16	]	]	PUNCT
ap-2074	68	17	ths	th	NOUN
ap-2074	68	18	[	[	X
ap-2074	68	19	5	5	NUM
ap-2074	68	20	]	]	PUNCT
ap-2074	68	21	(	(	PUNCT
ap-2074	68	22	realistic	realistic	ADJ
ap-2074	68	23	,	,	PUNCT
ap-2074	68	24	microscopic	microscopic	ADJ
ap-2074	68	25	)	)	PUNCT
ap-2074	68	26	(	(	PUNCT
ap-2074	68	27	hermitian	hermitian	PROPN
ap-2074	68	28	)	)	PUNCT
ap-2074	68	29	(	(	PUNCT
ap-2074	68	30	hermitian	hermitian	NOUN
ap-2074	68	31	in	in	ADP
ap-2074	68	32	h(p	h(p	PROPN
ap-2074	68	33	)	)	PUNCT
ap-2074	68	34	)	)	PUNCT
ap-2074	68	35	initial	initial	ADJ
ap-2074	68	36	hamiltonian	hamiltonian	ADJ
ap-2074	68	37	h	h	NOUN
ap-2074	68	38	h	h	NOUN
ap-2074	68	39	(	(	PUNCT
ap-2074	68	40	non	non	ADJ
ap-2074	68	41	-	-	ADJ
ap-2074	68	42	unitary	unitary	ADJ
ap-2074	68	43	)	)	PUNCT
ap-2074	68	44	(	(	PUNCT
ap-2074	68	45	creation	creation	NOUN
ap-2074	68	46	)	)	PUNCT
ap-2074	68	47	(	(	PUNCT
ap-2074	68	48	general	general	ADJ
ap-2074	68	49	invertible	invertible	ADJ
ap-2074	68	50	map	map	NOUN
ap-2074	68	51	)	)	PUNCT
ap-2074	68	52	transformation	transformation	NOUN
ap-2074	68	53	exps	exps	PROPN
ap-2074	68	54	ω	ω	PROPN
ap-2074	68	55	:	:	PUNCT
ap-2074	68	56	h(f	h(f	PROPN
ap-2074	68	57	)	)	PUNCT
ap-2074	68	58	→	→	SYM
ap-2074	68	59	h(p	h(p	NOUN
ap-2074	68	60	)	)	PUNCT
ap-2074	68	61	(	(	PUNCT
ap-2074	68	62	assumed	assume	VERB
ap-2074	68	63	simplified	simplified	ADJ
ap-2074	68	64	)	)	PUNCT
ap-2074	68	65	(	(	PUNCT
ap-2074	68	66	non	non	ADJ
ap-2074	68	67	-	-	ADJ
ap-2074	68	68	hermitian	hermitian	ADJ
ap-2074	68	69	)	)	PUNCT
ap-2074	68	70	{	{	PUNCT
ap-2074	68	71	non−hermitian	non−hermitian	PROPN
ap-2074	68	72	in	in	ADP
ap-2074	68	73	h(f	h(f	PROPN
ap-2074	68	74	)	)	PUNCT
ap-2074	68	75	and	and	CCONJ
ap-2074	68	76	hermitian	hermitian	NOUN
ap-2074	68	77	in	in	ADP
ap-2074	68	78	h(s	h(s	PROPN
ap-2074	68	79	)	)	PUNCT
ap-2074	68	80	}	}	PUNCT
ap-2074	68	81	transformed	transform	VERB
ap-2074	68	82	hamiltonian	hamiltonian	ADJ
ap-2074	68	83	ĥ	ĥ	X
ap-2074	68	84	=	=	SYM
ap-2074	68	85	e−shes	e−she	NOUN
ap-2074	68	86	h	h	NOUN
ap-2074	68	87	=	=	PUNCT
ap-2074	68	88	ω−1hω	ω−1hω	ADV
ap-2074	68	89	table	table	NOUN
ap-2074	68	90	1	1	NUM
ap-2074	68	91	.	.	X
ap-2074	69	1	warning	warning	NOUN
ap-2074	69	2	:	:	PUNCT
ap-2074	69	3	opposite	opposite	ADJ
ap-2074	69	4	notation	notation	NOUN
ap-2074	69	5	conventions	convention	NOUN
ap-2074	69	6	.	.	PUNCT
ap-2074	70	1	using	use	VERB
ap-2074	70	2	the	the	DET
ap-2074	70	3	respective	respective	ADJ
ap-2074	70	4	action	action	NOUN
ap-2074	70	5	-	-	PUNCT
ap-2074	70	6	to	to	ADP
ap-2074	70	7	-	-	PUNCT
ap-2074	70	8	the	the	DET
ap-2074	70	9	-	-	PUNCT
ap-2074	70	10	right	right	NOUN
ap-2074	70	11	and	and	CCONJ
ap-2074	70	12	action	action	NOUN
ap-2074	70	13	-	-	PUNCT
ap-2074	70	14	tothe	tothe	NOUN
ap-2074	70	15	-	-	PUNCT
ap-2074	70	16	left	leave	VERB
ap-2074	70	17	conventions	convention	NOUN
ap-2074	70	18	.	.	PUNCT
ap-2074	71	1	interested	interested	ADJ
ap-2074	71	2	readers	reader	NOUN
ap-2074	71	3	may	may	AUX
ap-2074	71	4	consult	consult	VERB
ap-2074	71	5	review	review	VERB
ap-2074	71	6	paper	paper	NOUN
ap-2074	71	7	[	[	X
ap-2074	71	8	5	5	NUM
ap-2074	71	9	]	]	PUNCT
ap-2074	71	10	,	,	PUNCT
ap-2074	71	11	in	in	ADP
ap-2074	71	12	which	which	PRON
ap-2074	71	13	a	a	DET
ap-2074	71	14	detailed	detailed	ADJ
ap-2074	71	15	discussion	discussion	NOUN
ap-2074	71	16	of	of	ADP
ap-2074	71	17	further	further	ADJ
ap-2074	71	18	subtleties	subtlety	NOUN
ap-2074	71	19	is	be	AUX
ap-2074	71	20	given	give	VERB
ap-2074	71	21	,	,	PUNCT
ap-2074	71	22	first	first	ADV
ap-2074	71	23	of	of	ADP
ap-2074	71	24	all	all	PRON
ap-2074	71	25	,	,	PUNCT
ap-2074	71	26	for	for	ADP
ap-2074	71	27	the	the	DET
ap-2074	71	28	far	far	ADV
ap-2074	71	29	from	from	ADP
ap-2074	71	30	trivial	trivial	ADJ
ap-2074	71	31	heisenbergrepresentation	heisenbergrepresentation	NOUN
ap-2074	71	32	-	-	PUNCT
ap-2074	71	33	like	like	ADJ
ap-2074	71	34	cases	case	NOUN
ap-2074	71	35	in	in	ADP
ap-2074	71	36	which	which	PRON
ap-2074	71	37	the	the	DET
ap-2074	71	38	non	non	ADJ
ap-2074	71	39	-	-	ADJ
ap-2074	71	40	unitary	unitary	ADJ
ap-2074	71	41	mapping	mapping	NOUN
ap-2074	71	42	ω	ω	NOUN
ap-2074	71	43	is	be	AUX
ap-2074	71	44	also	also	ADV
ap-2074	71	45	permitted	permit	VERB
ap-2074	71	46	to	to	PART
ap-2074	71	47	vary	vary	VERB
ap-2074	71	48	with	with	ADP
ap-2074	71	49	time	time	NOUN
ap-2074	71	50	.	.	PUNCT
ap-2074	72	1	2.2.2	2.2.2	X
ap-2074	72	2	.	.	PUNCT
ap-2074	72	3	pt	pt	NOUN
ap-2074	72	4	-symmetric	-symmetric	ADJ
ap-2074	72	5	models	model	NOUN
ap-2074	72	6	a	a	DET
ap-2074	72	7	reversal	reversal	NOUN
ap-2074	72	8	of	of	ADP
ap-2074	72	9	the	the	DET
ap-2074	72	10	application	application	NOUN
ap-2074	72	11	of	of	ADP
ap-2074	72	12	the	the	DET
ap-2074	72	13	simplification	simplification	NOUN
ap-2074	72	14	h	h	NOUN
ap-2074	72	15	→	→	X
ap-2074	72	16	ĥ	ĥ	X
ap-2074	72	17	may	may	AUX
ap-2074	72	18	be	be	AUX
ap-2074	72	19	found	find	VERB
ap-2074	72	20	promoted	promote	VERB
ap-2074	72	21	in	in	ADP
ap-2074	72	22	the	the	DET
ap-2074	72	23	overall	overall	ADJ
ap-2074	72	24	context	context	NOUN
ap-2074	72	25	of	of	ADP
ap-2074	72	26	relativistic	relativistic	ADJ
ap-2074	72	27	quantum	quantum	ADJ
ap-2074	72	28	field	field	NOUN
ap-2074	72	29	theory	theory	NOUN
ap-2074	72	30	.	.	PUNCT
ap-2074	73	1	in	in	ADP
ap-2074	73	2	this	this	DET
ap-2074	73	3	entirely	entirely	ADV
ap-2074	73	4	different	different	ADJ
ap-2074	73	5	domain	domain	NOUN
ap-2074	73	6	of	of	ADP
ap-2074	73	7	physics	physics	PROPN
ap-2074	73	8	,	,	PUNCT
ap-2074	73	9	bender	bender	NOUN
ap-2074	73	10	and	and	CCONJ
ap-2074	73	11	his	his	PRON
ap-2074	73	12	coauthors	coauthor	NOUN
ap-2074	73	13	were	be	AUX
ap-2074	73	14	the	the	DET
ap-2074	73	15	first	first	ADJ
ap-2074	73	16	who	who	PRON
ap-2074	73	17	advocated	advocate	VERB
ap-2074	73	18	an	an	DET
ap-2074	73	19	alternative	alternative	ADJ
ap-2074	73	20	philosophy	philosophy	NOUN
ap-2074	73	21	of	of	ADP
ap-2074	73	22	first	first	ADV
ap-2074	73	23	choosing	choose	VERB
ap-2074	73	24	a	a	DET
ap-2074	73	25	sufficiently	sufficiently	ADV
ap-2074	73	26	elementary	elementary	ADJ
ap-2074	73	27	non	non	ADJ
ap-2074	73	28	-	-	ADJ
ap-2074	73	29	hermitian	hermitian	ADJ
ap-2074	73	30	ĥ	ĥ	X
ap-2074	73	31	and	and	CCONJ
ap-2074	73	32	of	of	ADP
ap-2074	73	33	postponing	postpone	VERB
ap-2074	73	34	the	the	DET
ap-2074	73	35	reconstruction	reconstruction	NOUN
ap-2074	73	36	of	of	ADP
ap-2074	73	37	the	the	DET
ap-2074	73	38	overcomplicated	overcomplicate	VERB
ap-2074	73	39	selfadjoint	selfadjoint	NOUN
ap-2074	73	40	operator	operator	NOUN
ap-2074	73	41	h	h	NOUN
ap-2074	73	42	,	,	PUNCT
ap-2074	73	43	sometimes	sometimes	ADV
ap-2074	73	44	even	even	ADV
ap-2074	73	45	indefinitely	indefinitely	ADV
ap-2074	73	46	.	.	PUNCT
ap-2074	74	1	the	the	DET
ap-2074	74	2	initial	initial	ADJ
ap-2074	74	3	move	move	NOUN
ap-2074	74	4	is	be	AUX
ap-2074	74	5	due	due	ADJ
ap-2074	74	6	to	to	ADP
ap-2074	74	7	bender	bender	NOUN
ap-2074	74	8	and	and	CCONJ
ap-2074	74	9	boettcher	boettcher	PROPN
ap-2074	74	10	,	,	PUNCT
ap-2074	74	11	who	who	PRON
ap-2074	74	12	published	publish	VERB
ap-2074	74	13	,	,	PUNCT
ap-2074	74	14	in	in	ADP
ap-2074	74	15	1998	1998	NUM
ap-2074	74	16	,	,	PUNCT
ap-2074	74	17	an	an	DET
ap-2074	74	18	influential	influential	ADJ
ap-2074	74	19	letter	letter	NOUN
ap-2074	74	20	[	[	X
ap-2074	74	21	9	9	NUM
ap-2074	74	22	]	]	PUNCT
ap-2074	74	23	.	.	PUNCT
ap-2074	75	1	in	in	ADP
ap-2074	75	2	this	this	DET
ap-2074	75	3	work	work	NOUN
ap-2074	75	4	they	they	PRON
ap-2074	75	5	noticed	notice	VERB
ap-2074	75	6	that	that	SCONJ
ap-2074	75	7	certain	certain	ADJ
ap-2074	75	8	elementary	elementary	ADJ
ap-2074	75	9	nonhermitian	nonhermitian	ADJ
ap-2074	75	10	toy	toy	NOUN
ap-2074	75	11	-	-	PUNCT
ap-2074	75	12	model	model	NOUN
ap-2074	75	13	operators	operator	NOUN
ap-2074	75	14	ĥ	ĥ	PROPN
ap-2074	75	15	appeared	appear	VERB
ap-2074	75	16	to	to	PART
ap-2074	75	17	possess	possess	VERB
ap-2074	75	18	real	real	ADJ
ap-2074	75	19	and	and	CCONJ
ap-2074	75	20	bound	bind	VERB
ap-2074	75	21	-	-	PUNCT
ap-2074	75	22	state	state	NOUN
ap-2074	75	23	-	-	PUNCT
ap-2074	75	24	like	like	ADJ
ap-2074	75	25	spectra	spectra	NOUN
ap-2074	75	26	,	,	PUNCT
ap-2074	75	27	which	which	PRON
ap-2074	75	28	were	be	AUX
ap-2074	75	29	discrete	discrete	ADJ
ap-2074	75	30	,	,	PUNCT
ap-2074	75	31	non	non	ADJ
ap-2074	75	32	-	-	ADJ
ap-2074	75	33	degenerate	degenerate	ADJ
ap-2074	75	34	and	and	CCONJ
ap-2074	75	35	bounded	bound	VERB
ap-2074	75	36	from	from	ADP
ap-2074	75	37	below	below	ADV
ap-2074	75	38	.	.	PUNCT
ap-2074	76	1	in	in	ADP
ap-2074	76	2	2001	2001	NUM
ap-2074	76	3	,	,	PUNCT
ap-2074	76	4	their	their	PRON
ap-2074	76	5	observations	observation	NOUN
ap-2074	76	6	were	be	AUX
ap-2074	76	7	rigorously	rigorously	ADV
ap-2074	76	8	proved	prove	VERB
ap-2074	76	9	while	while	SCONJ
ap-2074	76	10	,	,	PUNCT
ap-2074	76	11	a	a	DET
ap-2074	76	12	few	few	ADJ
ap-2074	76	13	years	year	NOUN
ap-2074	76	14	later	later	ADV
ap-2074	76	15	,	,	PUNCT
ap-2074	76	16	some	some	PRON
ap-2074	76	17	of	of	ADP
ap-2074	76	18	these	these	DET
ap-2074	76	19	results	result	NOUN
ap-2074	76	20	were	be	AUX
ap-2074	76	21	also	also	ADV
ap-2074	76	22	complemented	complement	VERB
ap-2074	76	23	by	by	ADP
ap-2074	76	24	approximate	approximate	ADJ
ap-2074	76	25	reconstructions	reconstruction	NOUN
ap-2074	76	26	of	of	ADP
ap-2074	76	27	the	the	DET
ap-2074	76	28	necessary	necessary	ADJ
ap-2074	76	29	metric	metric	ADJ
ap-2074	76	30	operator(s	operator(s	NOUN
ap-2074	76	31	)	)	PUNCT
ap-2074	76	32	θ	θ	PROPN
ap-2074	76	33	=	=	SYM
ap-2074	76	34	θ(ĥ	θ(ĥ	PROPN
ap-2074	76	35	)	)	PUNCT
ap-2074	76	36	(	(	PUNCT
ap-2074	76	37	cf	cf	NOUN
ap-2074	76	38	.	.	NOUN
ap-2074	76	39	,	,	PUNCT
ap-2074	76	40	e.g.	e.g.	ADV
ap-2074	76	41	,	,	PUNCT
ap-2074	76	42	review	review	VERB
ap-2074	76	43	[	[	X
ap-2074	76	44	10	10	NUM
ap-2074	76	45	]	]	PUNCT
ap-2074	76	46	for	for	ADP
ap-2074	76	47	details	detail	NOUN
ap-2074	76	48	)	)	PUNCT
ap-2074	76	49	.	.	PUNCT
ap-2074	77	1	on	on	ADP
ap-2074	77	2	a	a	DET
ap-2074	77	3	model	model	ADJ
ap-2074	77	4	-	-	PUNCT
ap-2074	77	5	independent	independent	ADJ
ap-2074	77	6	level	level	NOUN
ap-2074	77	7	these	these	DET
ap-2074	77	8	developments	development	NOUN
ap-2074	77	9	finally	finally	ADV
ap-2074	77	10	resulted	result	VERB
ap-2074	77	11	in	in	ADP
ap-2074	77	12	a	a	DET
ap-2074	77	13	fully	fully	ADV
ap-2074	77	14	consistent	consistent	ADJ
ap-2074	77	15	innovative	innovative	ADJ
ap-2074	77	16	ths	th	NOUN
ap-2074	77	17	strategy	strategy	NOUN
ap-2074	77	18	in	in	ADP
ap-2074	77	19	which	which	PRON
ap-2074	77	20	one	one	PRON
ap-2074	77	21	starts	start	VERB
ap-2074	77	22	from	from	ADP
ap-2074	77	23	a	a	DET
ap-2074	77	24	sufficiently	sufficiently	ADV
ap-2074	77	25	elementary	elementary	ADJ
ap-2074	77	26	lower	low	ADJ
ap-2074	77	27	-	-	PUNCT
ap-2074	77	28	case	case	NOUN
ap-2074	77	29	(	(	PUNCT
ap-2074	77	30	i.e.	i.e.	X
ap-2074	77	31	,	,	PUNCT
ap-2074	77	32	non	non	ADJ
ap-2074	77	33	-	-	ADJ
ap-2074	77	34	hermitian	hermitian	ADJ
ap-2074	77	35	)	)	PUNCT
ap-2074	77	36	candidate	candidate	NOUN
ap-2074	77	37	for	for	ADP
ap-2074	77	38	a	a	DET
ap-2074	77	39	“	"	PUNCT
ap-2074	77	40	realistic	realistic	ADJ
ap-2074	77	41	-	-	PUNCT
ap-2074	77	42	model	model	NOUN
ap-2074	77	43	”	"	PUNCT
ap-2074	77	44	hamiltonian	hamiltonian	ADJ
ap-2074	77	45	ĥ	ĥ	X
ap-2074	77	46	6=	6=	ADP
ap-2074	77	47	ĥ†.	ĥ†.	NOUN
ap-2074	77	48	under	under	ADP
ap-2074	77	49	a	a	DET
ap-2074	77	50	number	number	NOUN
ap-2074	77	51	of	of	ADP
ap-2074	77	52	assumptions	assumption	NOUN
ap-2074	77	53	(	(	PUNCT
ap-2074	77	54	cf	cf	NOUN
ap-2074	77	55	.	.	NOUN
ap-2074	77	56	,	,	PUNCT
ap-2074	77	57	e.g.	e.g.	ADV
ap-2074	77	58	,	,	PUNCT
ap-2074	77	59	reviews	review	VERB
ap-2074	77	60	[	[	X
ap-2074	77	61	4	4	NUM
ap-2074	77	62	,	,	PUNCT
ap-2074	77	63	11–13	11–13	NUM
ap-2074	77	64	]	]	PUNCT
ap-2074	77	65	)	)	PUNCT
ap-2074	77	66	one	one	NOUN
ap-2074	77	67	is	be	AUX
ap-2074	77	68	then	then	ADV
ap-2074	77	69	able	able	ADJ
ap-2074	77	70	to	to	PART
ap-2074	77	71	re	re	VERB
ap-2074	77	72	-	-	VERB
ap-2074	77	73	construct	construct	VERB
ap-2074	77	74	a	a	DET
ap-2074	77	75	suitable	suitable	ADJ
ap-2074	77	76	hilbert	hilbert	NOUN
ap-2074	77	77	-	-	PUNCT
ap-2074	77	78	space	space	NOUN
ap-2074	77	79	mapping	mapping	NOUN
ap-2074	77	80	ω	ω	PROPN
ap-2074	77	81	=	=	SYM
ap-2074	77	82	ω(ĥ	ω(ĥ	PROPN
ap-2074	77	83	)	)	PUNCT
ap-2074	77	84	and	and	CCONJ
ap-2074	77	85	,	,	PUNCT
ap-2074	77	86	via	via	ADP
ap-2074	77	87	eq	eq	NOUN
ap-2074	77	88	.	.	PUNCT
ap-2074	78	1	(	(	PUNCT
ap-2074	78	2	1	1	NUM
ap-2074	78	3	)	)	PUNCT
ap-2074	78	4	,	,	PUNCT
ap-2074	78	5	also	also	ADV
ap-2074	78	6	a	a	DET
ap-2074	78	7	self	self	NOUN
ap-2074	78	8	-	-	PUNCT
ap-2074	78	9	adjoint	adjoint	NOUN
ap-2074	78	10	,	,	PUNCT
ap-2074	78	11	textbook	textbook	NOUN
ap-2074	78	12	-	-	PUNCT
ap-2074	78	13	compatible	compatible	ADJ
ap-2074	78	14	isospectral	isospectral	ADJ
ap-2074	78	15	avatar	avatar	NOUN
ap-2074	78	16	h	h	NOUN
ap-2074	78	17	=	=	PUNCT
ap-2074	79	1	h†	h†	X
ap-2074	79	2	of	of	ADP
ap-2074	79	3	the	the	DET
ap-2074	79	4	hamiltonian	hamiltonian	NOUN
ap-2074	79	5	living	live	VERB
ap-2074	79	6	in	in	ADP
ap-2074	79	7	h(p	h(p	PROPN
ap-2074	79	8	)	)	PUNCT
ap-2074	79	9	.	.	PUNCT
ap-2074	80	1	in	in	ADP
ap-2074	80	2	other	other	ADJ
ap-2074	80	3	words	word	NOUN
ap-2074	80	4	,	,	PUNCT
ap-2074	80	5	from	from	ADP
ap-2074	80	6	the	the	DET
ap-2074	80	7	initial	initial	ADJ
ap-2074	80	8	knowledge	knowledge	NOUN
ap-2074	80	9	of	of	ADP
ap-2074	80	10	a	a	DET
ap-2074	80	11	quantum	quantum	NOUN
ap-2074	80	12	-	-	PUNCT
ap-2074	80	13	dynamics	dynamic	NOUN
ap-2074	80	14	-	-	PUNCT
ap-2074	80	15	determining	determine	VERB
ap-2074	80	16	operator	operator	NOUN
ap-2074	80	17	ĥ	ĥ	PUNCT
ap-2074	80	18	one	one	NUM
ap-2074	80	19	is	be	AUX
ap-2074	80	20	able	able	ADJ
ap-2074	80	21	to	to	PART
ap-2074	80	22	reconstruct	reconstruct	VERB
ap-2074	80	23	,	,	PUNCT
ap-2074	80	24	in	in	ADP
ap-2074	80	25	principle	principle	NOUN
ap-2074	80	26	at	at	ADP
ap-2074	80	27	least	least	ADJ
ap-2074	80	28	,	,	PUNCT
ap-2074	80	29	one	one	NUM
ap-2074	80	30	or	or	CCONJ
ap-2074	80	31	several	several	ADJ
ap-2074	80	32	tractable	tractable	ADJ
ap-2074	80	33	,	,	PUNCT
ap-2074	80	34	textbook	textbook	NOUN
ap-2074	80	35	-	-	PUNCT
ap-2074	80	36	compatible	compatible	ADJ
ap-2074	80	37	phenomenological	phenomenological	ADJ
ap-2074	80	38	quantum	quantum	NOUN
ap-2074	80	39	-	-	ADJ
ap-2074	80	40	mechanical	mechanical	ADJ
ap-2074	80	41	and/or	and/or	CCONJ
ap-2074	80	42	fieldtheoretical	fieldtheoretical	ADJ
ap-2074	80	43	models	model	NOUN
ap-2074	80	44	.	.	PUNCT
ap-2074	81	1	naturally	naturally	ADV
ap-2074	81	2	,	,	PUNCT
ap-2074	81	3	the	the	DET
ap-2074	81	4	initial	initial	ADJ
ap-2074	81	5	choice	choice	NOUN
ap-2074	81	6	of	of	ADP
ap-2074	81	7	hamiltonian	hamiltonian	ADJ
ap-2074	81	8	ĥ	ĥ	PROPN
ap-2074	81	9	6=	6=	NUM
ap-2074	82	1	ĥ†	ĥ†	VERB
ap-2074	82	2	acting	act	VERB
ap-2074	82	3	in	in	ADP
ap-2074	82	4	h(f	h(f	PROPN
ap-2074	82	5	)	)	PUNCT
ap-2074	82	6	should	should	AUX
ap-2074	82	7	guarantee	guarantee	VERB
ap-2074	82	8	that	that	SCONJ
ap-2074	82	9	the	the	DET
ap-2074	82	10	pair	pair	NOUN
ap-2074	82	11	of	of	ADP
ap-2074	82	12	schrödinger	schrödinger	PROPN
ap-2074	82	13	eqs	eqs	PROPN
ap-2074	82	14	.	.	PUNCT
ap-2074	83	1	(	(	PUNCT
ap-2074	83	2	6	6	X
ap-2074	83	3	)	)	PUNCT
ap-2074	83	4	remains	remain	VERB
ap-2074	83	5	sufficiently	sufficiently	ADV
ap-2074	83	6	easily	easily	ADV
ap-2074	83	7	solvable	solvable	ADJ
ap-2074	83	8	.	.	PUNCT
ap-2074	84	1	this	this	DET
ap-2074	84	2	requirement	requirement	NOUN
ap-2074	84	3	is	be	AUX
ap-2074	84	4	not	not	PART
ap-2074	84	5	so	so	ADV
ap-2074	84	6	easily	easily	ADV
ap-2074	84	7	satisfied	satisfied	ADJ
ap-2074	84	8	.	.	PUNCT
ap-2074	85	1	in	in	ADP
ap-2074	85	2	practice	practice	NOUN
ap-2074	85	3	people	people	NOUN
ap-2074	85	4	usually	usually	ADV
ap-2074	85	5	accept	accept	VERB
ap-2074	85	6	various	various	ADJ
ap-2074	85	7	independent	independent	ADJ
ap-2074	85	8	and	and	CCONJ
ap-2074	85	9	additional	additional	ADJ
ap-2074	85	10	simplification	simplification	NOUN
ap-2074	85	11	assumptions	assumption	NOUN
ap-2074	85	12	,	,	PUNCT
ap-2074	85	13	therefore	therefore	ADV
ap-2074	85	14	.	.	PUNCT
ap-2074	86	1	among	among	ADP
ap-2074	86	2	them	they	PRON
ap-2074	86	3	,	,	PUNCT
ap-2074	86	4	a	a	DET
ap-2074	86	5	truly	truly	ADV
ap-2074	86	6	exceptional	exceptional	ADJ
ap-2074	86	7	status	status	NOUN
ap-2074	86	8	belongs	belong	VERB
ap-2074	86	9	to	to	ADP
ap-2074	86	10	the	the	DET
ap-2074	86	11	so	so	ADV
ap-2074	86	12	called	call	VERB
ap-2074	86	13	pt	pt	PROPN
ap-2074	86	14	-symmetry	-symmetry	PROPN
ap-2074	86	15	assumption	assumption	NOUN
ap-2074	86	16	or	or	CCONJ
ap-2074	86	17	,	,	PUNCT
ap-2074	86	18	more	more	ADV
ap-2074	86	19	generally	generally	ADV
ap-2074	86	20	,	,	PUNCT
ap-2074	86	21	to	to	ADP
ap-2074	86	22	the	the	DET
ap-2074	86	23	assumption	assumption	NOUN
ap-2074	86	24	of	of	ADP
ap-2074	86	25	the	the	DET
ap-2074	86	26	so	so	ADV
ap-2074	86	27	called	call	VERB
ap-2074	86	28	pseudo	pseudo	NOUN
ap-2074	86	29	-	-	NOUN
ap-2074	86	30	hermiticity	hermiticity	NOUN
ap-2074	86	31	property	property	NOUN
ap-2074	86	32	of	of	ADP
ap-2074	86	33	ĥ	ĥ	PROPN
ap-2074	86	34	(	(	PUNCT
ap-2074	86	35	interested	interested	ADJ
ap-2074	86	36	readers	reader	NOUN
ap-2074	86	37	should	should	AUX
ap-2074	86	38	consult	consult	VERB
ap-2074	86	39	,	,	PUNCT
ap-2074	86	40	e.g.	e.g.	ADV
ap-2074	86	41	,	,	PUNCT
ap-2074	86	42	review	review	VERB
ap-2074	86	43	[	[	X
ap-2074	86	44	12	12	NUM
ap-2074	86	45	]	]	PUNCT
ap-2074	86	46	for	for	ADP
ap-2074	86	47	more	more	ADJ
ap-2074	86	48	details	detail	NOUN
ap-2074	86	49	)	)	PUNCT
ap-2074	86	50	.	.	PUNCT
ap-2074	87	1	2.2.3	2.2.3	X
ap-2074	87	2	.	.	PUNCT
ap-2074	87	3	towards	towards	ADP
ap-2074	87	4	the	the	DET
ap-2074	87	5	complex	complex	ADJ
ap-2074	87	6	energy	energy	NOUN
ap-2074	87	7	spectra	spectra	NOUN
ap-2074	87	8	.	.	PUNCT
ap-2074	88	1	a	a	DET
ap-2074	88	2	third	third	ADJ
ap-2074	88	3	and	and	CCONJ
ap-2074	88	4	still	still	ADV
ap-2074	88	5	different	different	ADJ
ap-2074	88	6	implementation	implementation	NOUN
ap-2074	88	7	of	of	ADP
ap-2074	88	8	the	the	DET
ap-2074	88	9	nonhermitian	nonhermitian	ADJ
ap-2074	88	10	-	-	PUNCT
ap-2074	88	11	observable	observable	ADJ
ap-2074	88	12	ideas	idea	NOUN
ap-2074	88	13	is	be	AUX
ap-2074	88	14	much	much	ADV
ap-2074	88	15	older	old	ADJ
ap-2074	88	16	than	than	ADP
ap-2074	88	17	the	the	DET
ap-2074	88	18	previous	previous	ADJ
ap-2074	88	19	two	two	NUM
ap-2074	88	20	.	.	PUNCT
ap-2074	89	1	it	it	PRON
ap-2074	89	2	may	may	AUX
ap-2074	89	3	be	be	AUX
ap-2074	89	4	traced	trace	VERB
ap-2074	89	5	back	back	ADV
ap-2074	89	6	to	to	ADP
ap-2074	89	7	the	the	DET
ap-2074	89	8	traditional	traditional	ADJ
ap-2074	89	9	model	model	ADJ
ap-2074	89	10	-	-	PUNCT
ap-2074	89	11	space	space	NOUN
ap-2074	89	12	projection	projection	NOUN
ap-2074	89	13	technique	technique	NOUN
ap-2074	89	14	of	of	ADP
ap-2074	89	15	feshbach	feshbach	NOUN
ap-2074	89	16	in	in	ADP
ap-2074	89	17	which	which	PRON
ap-2074	89	18	one	one	NUM
ap-2074	89	19	of	of	ADP
ap-2074	89	20	the	the	DET
ap-2074	89	21	non	non	ADJ
ap-2074	89	22	-	-	ADJ
ap-2074	89	23	unitary	unitary	ADJ
ap-2074	89	24	mappings	mapping	NOUN
ap-2074	89	25	ω	ω	NOUN
ap-2074	89	26	and	and	CCONJ
ap-2074	89	27	ω−1	ω−1	PROPN
ap-2074	89	28	is	be	AUX
ap-2074	89	29	chosen	choose	VERB
ap-2074	89	30	as	as	ADP
ap-2074	89	31	a	a	DET
ap-2074	89	32	projector	projector	NOUN
ap-2074	89	33	so	so	SCONJ
ap-2074	89	34	that	that	SCONJ
ap-2074	89	35	the	the	DET
ap-2074	89	36	other	other	ADJ
ap-2074	89	37	one	one	NOUN
ap-2074	89	38	can	can	AUX
ap-2074	89	39	not	not	PART
ap-2074	89	40	exist	exist	VERB
ap-2074	89	41	.	.	PUNCT
ap-2074	90	1	it	it	PRON
ap-2074	90	2	is	be	AUX
ap-2074	90	3	well	well	ADV
ap-2074	90	4	known	know	VERB
ap-2074	90	5	that	that	SCONJ
ap-2074	90	6	the	the	DET
ap-2074	90	7	resulting	result	VERB
ap-2074	90	8	simplified	simplified	ADJ
ap-2074	90	9	effective	effective	ADJ
ap-2074	90	10	hamiltonians	hamiltonian	NOUN
ap-2074	90	11	are	be	AUX
ap-2074	90	12	restricted	restrict	VERB
ap-2074	90	13	to	to	ADP
ap-2074	90	14	a	a	DET
ap-2074	90	15	subspace	subspace	NOUN
ap-2074	90	16	while	while	SCONJ
ap-2074	90	17	becoming	become	VERB
ap-2074	90	18	energy	energy	NOUN
ap-2074	90	19	-	-	PUNCT
ap-2074	90	20	dependent	dependent	ADJ
ap-2074	90	21	in	in	ADP
ap-2074	90	22	general	general	ADJ
ap-2074	90	23	.	.	PUNCT
ap-2074	91	1	in	in	ADP
ap-2074	91	2	this	this	DET
ap-2074	91	3	sense	sense	NOUN
ap-2074	91	4	,	,	PUNCT
ap-2074	91	5	feshbach	feshbach	PROPN
ap-2074	91	6	’s	’s	PART
ap-2074	91	7	effective	effective	ADJ
ap-2074	91	8	schrödinger	schrödinger	ADJ
ap-2074	91	9	eqs	eqs	X
ap-2074	91	10	.	.	PUNCT
ap-2074	92	1	(	(	PUNCT
ap-2074	92	2	6	6	NUM
ap-2074	92	3	)	)	PUNCT
ap-2074	92	4	are	be	AUX
ap-2074	92	5	de	de	X
ap-2074	92	6	facto	facto	X
ap-2074	92	7	nonlinear	nonlinear	NOUN
ap-2074	92	8	.	.	PUNCT
ap-2074	93	1	such	such	DET
ap-2074	93	2	a	a	DET
ap-2074	93	3	case	case	NOUN
ap-2074	93	4	certainly	certainly	ADV
ap-2074	93	5	lies	lie	VERB
ap-2074	93	6	outside	outside	ADP
ap-2074	93	7	the	the	DET
ap-2074	93	8	scope	scope	NOUN
ap-2074	93	9	of	of	ADP
ap-2074	93	10	our	our	PRON
ap-2074	93	11	present	present	ADJ
ap-2074	93	12	considerations	consideration	NOUN
ap-2074	93	13	.	.	PUNCT
ap-2074	94	1	still	still	ADV
ap-2074	94	2	,	,	PUNCT
ap-2074	94	3	it	it	PRON
ap-2074	94	4	is	be	AUX
ap-2074	94	5	worth	worth	ADJ
ap-2074	94	6	noting	note	VERB
ap-2074	94	7	that	that	SCONJ
ap-2074	94	8	there	there	PRON
ap-2074	94	9	has	have	AUX
ap-2074	94	10	recently	recently	ADV
ap-2074	94	11	emerged	emerge	VERB
ap-2074	94	12	a	a	DET
ap-2074	94	13	number	number	NOUN
ap-2074	94	14	of	of	ADP
ap-2074	94	15	papers	paper	NOUN
ap-2074	94	16	in	in	ADP
ap-2074	94	17	which	which	PRON
ap-2074	94	18	the	the	DET
ap-2074	94	19	authors	author	NOUN
ap-2074	94	20	pointed	point	VERB
ap-2074	94	21	out	out	ADP
ap-2074	94	22	the	the	DET
ap-2074	94	23	existence	existence	NOUN
ap-2074	94	24	of	of	ADP
ap-2074	94	25	numerous	numerous	ADJ
ap-2074	94	26	links	link	NOUN
ap-2074	94	27	between	between	ADP
ap-2074	94	28	the	the	DET
ap-2074	94	29	latter	latter	ADJ
ap-2074	94	30	studies	study	NOUN
ap-2074	94	31	of	of	ADP
ap-2074	94	32	resonances	resonance	NOUN
ap-2074	94	33	(	(	PUNCT
ap-2074	94	34	i.e.	i.e.	X
ap-2074	94	35	,	,	PUNCT
ap-2074	94	36	of	of	ADP
ap-2074	94	37	the	the	DET
ap-2074	94	38	quantum	quantum	ADJ
ap-2074	94	39	hamiltonians	hamiltonian	NOUN
ap-2074	94	40	possessing	possess	VERB
ap-2074	94	41	complex	complex	ADJ
ap-2074	94	42	spectra	spectra	NOUN
ap-2074	94	43	)	)	PUNCT
ap-2074	94	44	and	and	CCONJ
ap-2074	94	45	their	their	PRON
ap-2074	94	46	above	above	ADV
ap-2074	94	47	-	-	PUNCT
ap-2074	94	48	mentioned	mention	VERB
ap-2074	94	49	real	real	ADJ
ap-2074	94	50	-	-	PUNCT
ap-2074	94	51	spectrum	spectrum	NOUN
ap-2074	94	52	alternatives	alternative	NOUN
ap-2074	94	53	.	.	PUNCT
ap-2074	95	1	interested	interested	ADJ
ap-2074	95	2	readers	reader	NOUN
ap-2074	95	3	may	may	AUX
ap-2074	95	4	consult	consult	VERB
ap-2074	95	5	,	,	PUNCT
ap-2074	95	6	e.g.	e.g.	ADV
ap-2074	95	7	,	,	PUNCT
ap-2074	95	8	monograph	monograph	NOUN
ap-2074	96	1	[	[	X
ap-2074	96	2	14	14	NUM
ap-2074	96	3	]	]	PUNCT
ap-2074	96	4	to	to	PART
ap-2074	96	5	see	see	VERB
ap-2074	96	6	a	a	DET
ap-2074	96	7	number	number	NOUN
ap-2074	96	8	of	of	ADP
ap-2074	96	9	newly	newly	ADV
ap-2074	96	10	discovered	discover	VERB
ap-2074	96	11	connections	connection	NOUN
ap-2074	96	12	between	between	ADP
ap-2074	96	13	the	the	DET
ap-2074	96	14	physics	physics	NOUN
ap-2074	96	15	of	of	ADP
ap-2074	96	16	hermitian	hermitian	PROPN
ap-2074	96	17	and/or	and/or	CCONJ
ap-2074	96	18	non	non	ADJ
ap-2074	96	19	-	-	ADJ
ap-2074	96	20	hermitian	hermitian	ADJ
ap-2074	96	21	effective	effective	ADJ
ap-2074	96	22	hamiltonians	hamiltonian	NOUN
ap-2074	96	23	and	and	CCONJ
ap-2074	96	24	the	the	DET
ap-2074	96	25	related	related	ADJ
ap-2074	96	26	mathematics	mathematic	NOUN
ap-2074	96	27	,	,	PUNCT
ap-2074	96	28	which	which	PRON
ap-2074	96	29	recommends	recommend	VERB
ap-2074	96	30	,	,	PUNCT
ap-2074	96	31	say	say	INTJ
ap-2074	96	32	,	,	PUNCT
ap-2074	96	33	the	the	DET
ap-2074	96	34	use	use	NOUN
ap-2074	96	35	of	of	ADP
ap-2074	96	36	the	the	DET
ap-2074	96	37	concepts	concept	NOUN
ap-2074	96	38	of	of	ADP
ap-2074	96	39	the	the	DET
ap-2074	96	40	kato	kato	PROPN
ap-2074	96	41	’s	’s	PART
ap-2074	96	42	exceptional	exceptional	ADJ
ap-2074	96	43	points	point	NOUN
ap-2074	96	44	,	,	PUNCT
ap-2074	96	45	etc	etc	X
ap-2074	96	46	.	.	X
ap-2074	96	47	one	one	PRON
ap-2074	96	48	should	should	AUX
ap-2074	96	49	also	also	ADV
ap-2074	96	50	point	point	VERB
ap-2074	96	51	out	out	ADP
ap-2074	96	52	that	that	SCONJ
ap-2074	96	53	even	even	ADV
ap-2074	96	54	in	in	ADP
ap-2074	96	55	the	the	DET
ap-2074	96	56	recent	recent	ADJ
ap-2074	96	57	physics	physics	NOUN
ap-2074	96	58	-	-	PUNCT
ap-2074	96	59	based	base	VERB
ap-2074	96	60	and	and	CCONJ
ap-2074	96	61	experiment	experiment	NOUN
ap-2074	96	62	-	-	PUNCT
ap-2074	96	63	oriented	orient	VERB
ap-2074	96	64	studies	study	NOUN
ap-2074	96	65	of	of	ADP
ap-2074	96	66	the	the	DET
ap-2074	96	67	real	real	ADJ
ap-2074	96	68	-	-	PUNCT
ap-2074	96	69	spectrum	spectrum	NOUN
ap-2074	96	70	pseudo	pseudo	NOUN
ap-2074	96	71	-	-	NOUN
ap-2074	96	72	hermitian	hermitian	ADJ
ap-2074	96	73	and	and	CCONJ
ap-2074	96	74	pt	pt	NOUN
ap-2074	96	75	-symmetric	-symmetric	ADJ
ap-2074	96	76	models	model	NOUN
ap-2074	96	77	there	there	PRON
ap-2074	96	78	has	have	AUX
ap-2074	96	79	been	be	AUX
ap-2074	96	80	a	a	DET
ap-2074	96	81	definite	definite	ADJ
ap-2074	96	82	increase	increase	NOUN
ap-2074	96	83	of	of	ADP
ap-2074	96	84	interest	interest	NOUN
ap-2074	96	85	in	in	ADP
ap-2074	96	86	the	the	DET
ap-2074	96	87	interdisciplinary	interdisciplinary	ADJ
ap-2074	96	88	applications	application	NOUN
ap-2074	96	89	of	of	ADP
ap-2074	96	90	the	the	DET
ap-2074	96	91	ths	th	NOUN
ap-2074	96	92	-	-	PUNCT
ap-2074	96	93	related	relate	VERB
ap-2074	96	94	concepts	concept	NOUN
ap-2074	96	95	of	of	ADP
ap-2074	96	96	the	the	DET
ap-2074	96	97	spontaneous	spontaneous	ADJ
ap-2074	96	98	pt	pt	NOUN
ap-2074	96	99	-symmetry	-symmetry	NOUN
ap-2074	96	100	breakdown	breakdown	NOUN
ap-2074	96	101	and/or	and/or	CCONJ
ap-2074	96	102	explanations	explanation	NOUN
ap-2074	96	103	of	of	ADP
ap-2074	96	104	the	the	DET
ap-2074	96	105	exceptional	exceptional	ADJ
ap-2074	96	106	-	-	PUNCT
ap-2074	96	107	point	point	NOUN
ap-2074	96	108	-	-	PUNCT
ap-2074	96	109	related	relate	VERB
ap-2074	96	110	phase	phase	NOUN
ap-2074	96	111	-	-	PUNCT
ap-2074	96	112	transition	transition	NOUN
ap-2074	96	113	mechanisms	mechanism	NOUN
ap-2074	96	114	connected	connect	VERB
ap-2074	96	115	with	with	ADP
ap-2074	96	116	the	the	DET
ap-2074	96	117	loss	loss	NOUN
ap-2074	96	118	of	of	ADP
ap-2074	96	119	the	the	DET
ap-2074	96	120	reality	reality	NOUN
ap-2074	96	121	of	of	ADP
ap-2074	96	122	the	the	DET
ap-2074	96	123	spectrum	spectrum	NOUN
ap-2074	96	124	(	(	PUNCT
ap-2074	96	125	cf	cf	NOUN
ap-2074	96	126	.	.	NOUN
ap-2074	96	127	,	,	PUNCT
ap-2074	96	128	e.g.	e.g.	ADV
ap-2074	96	129	,	,	PUNCT
ap-2074	96	130	the	the	DET
ap-2074	96	131	recent	recent	ADJ
ap-2074	96	132	quantum	quantum	NOUN
ap-2074	96	133	-	-	PUNCT
ap-2074	96	134	theory	theory	NOUN
ap-2074	96	135	-	-	PUNCT
ap-2074	96	136	related	relate	VERB
ap-2074	96	137	review	review	NOUN
ap-2074	96	138	paper	paper	NOUN
ap-2074	97	1	[	[	X
ap-2074	97	2	15	15	NUM
ap-2074	97	3	]	]	PUNCT
ap-2074	97	4	,	,	PUNCT
ap-2074	97	5	or	or	CCONJ
ap-2074	97	6	a	a	DET
ap-2074	97	7	sample	sample	NOUN
ap-2074	97	8	87	87	NUM
ap-2074	97	9	raymond	raymond	PROPN
ap-2074	97	10	f.	f.	PROPN
ap-2074	97	11	bishop	bishop	PROPN
ap-2074	97	12	,	,	PUNCT
ap-2074	97	13	miloslav	miloslav	NOUN
ap-2074	97	14	znojil	znojil	PROPN
ap-2074	97	15	acta	acta	PROPN
ap-2074	97	16	polytechnica	polytechnica	PROPN
ap-2074	98	1	[	[	X
ap-2074	98	2	16	16	NUM
ap-2074	98	3	]	]	PUNCT
ap-2074	98	4	of	of	ADP
ap-2074	98	5	a	a	DET
ap-2074	98	6	successful	successful	ADJ
ap-2074	98	7	transfer	transfer	NOUN
ap-2074	98	8	of	of	ADP
ap-2074	98	9	these	these	DET
ap-2074	98	10	ideas	idea	NOUN
ap-2074	98	11	even	even	ADV
ap-2074	98	12	beyond	beyond	ADP
ap-2074	98	13	the	the	DET
ap-2074	98	14	realm	realm	NOUN
ap-2074	98	15	of	of	ADP
ap-2074	98	16	quantum	quantum	ADJ
ap-2074	98	17	theory	theory	NOUN
ap-2074	98	18	itself	itself	PRON
ap-2074	98	19	)	)	PUNCT
ap-2074	98	20	.	.	PUNCT
ap-2074	99	1	3	3	X
ap-2074	99	2	.	.	X
ap-2074	99	3	ths	th	NOUN
ap-2074	99	4	interpretation	interpretation	NOUN
ap-2074	99	5	of	of	ADP
ap-2074	99	6	ccm	ccm	NOUN
ap-2074	99	7	constructions	construction	NOUN
ap-2074	99	8	having	having	AUX
ap-2074	99	9	passed	pass	VERB
ap-2074	99	10	through	through	ADP
ap-2074	99	11	the	the	DET
ap-2074	99	12	extensive	extensive	ADJ
ap-2074	99	13	list	list	NOUN
ap-2074	99	14	of	of	ADP
ap-2074	99	15	motivating	motivate	VERB
ap-2074	99	16	considerations	consideration	NOUN
ap-2074	99	17	we	we	PRON
ap-2074	99	18	are	be	AUX
ap-2074	99	19	now	now	ADV
ap-2074	99	20	getting	get	VERB
ap-2074	99	21	very	very	ADV
ap-2074	99	22	close	close	ADJ
ap-2074	99	23	to	to	ADP
ap-2074	99	24	the	the	DET
ap-2074	99	25	key	key	ADJ
ap-2074	99	26	purpose	purpose	NOUN
ap-2074	99	27	of	of	ADP
ap-2074	99	28	our	our	PRON
ap-2074	99	29	present	present	ADJ
ap-2074	99	30	paper	paper	NOUN
ap-2074	99	31	.	.	PUNCT
ap-2074	100	1	for	for	ADP
ap-2074	100	2	the	the	DET
ap-2074	100	3	construction	construction	NOUN
ap-2074	100	4	of	of	ADP
ap-2074	100	5	a	a	DET
ap-2074	100	6	concrete	concrete	ADJ
ap-2074	100	7	backward	backward	ADJ
ap-2074	100	8	mapping	mapping	NOUN
ap-2074	100	9	ω	ω	NOUN
ap-2074	100	10	=	=	SYM
ap-2074	100	11	ω(h	ω(h	NUM
ap-2074	100	12	)	)	PUNCT
ap-2074	100	13	in	in	ADP
ap-2074	100	14	the	the	DET
ap-2074	100	15	ccm	ccm	NOUN
ap-2074	100	16	context	context	NOUN
ap-2074	100	17	we	we	PRON
ap-2074	100	18	see	see	VERB
ap-2074	100	19	that	that	SCONJ
ap-2074	100	20	we	we	PRON
ap-2074	100	21	might	might	AUX
ap-2074	100	22	accept	accept	VERB
ap-2074	100	23	directly	directly	ADV
ap-2074	100	24	some	some	PRON
ap-2074	100	25	of	of	ADP
ap-2074	100	26	the	the	DET
ap-2074	100	27	ths	th	NOUN
ap-2074	100	28	constructive	constructive	ADJ
ap-2074	100	29	techniques	technique	NOUN
ap-2074	100	30	.	.	PUNCT
ap-2074	101	1	naturally	naturally	ADV
ap-2074	101	2	,	,	PUNCT
ap-2074	101	3	in	in	ADP
ap-2074	101	4	the	the	DET
ap-2074	101	5	ccm	ccm	NOUN
ap-2074	101	6	framework	framework	NOUN
ap-2074	101	7	we	we	PRON
ap-2074	101	8	encounter	encounter	VERB
ap-2074	101	9	the	the	DET
ap-2074	101	10	possibility	possibility	NOUN
ap-2074	101	11	of	of	ADP
ap-2074	101	12	extending	extend	VERB
ap-2074	101	13	its	its	PRON
ap-2074	101	14	philosophy	philosophy	NOUN
ap-2074	101	15	and	and	CCONJ
ap-2074	101	16	its	its	PRON
ap-2074	101	17	range	range	NOUN
ap-2074	101	18	beyond	beyond	ADP
ap-2074	101	19	the	the	DET
ap-2074	101	20	ground	ground	NOUN
ap-2074	101	21	-	-	PUNCT
ap-2074	101	22	state	state	NOUN
ap-2074	101	23	constructions	construction	NOUN
ap-2074	101	24	.	.	PUNCT
ap-2074	102	1	for	for	ADP
ap-2074	102	2	this	this	DET
ap-2074	102	3	purpose	purpose	NOUN
ap-2074	102	4	we	we	PRON
ap-2074	102	5	may	may	AUX
ap-2074	102	6	decide	decide	VERB
ap-2074	102	7	to	to	PART
ap-2074	102	8	experiment	experiment	VERB
ap-2074	102	9	with	with	ADP
ap-2074	102	10	various	various	ADJ
ap-2074	102	11	ths	th	NOUN
ap-2074	102	12	-	-	PUNCT
ap-2074	102	13	inspired	inspire	VERB
ap-2074	102	14	alternatives	alternative	NOUN
ap-2074	102	15	to	to	ADP
ap-2074	102	16	the	the	DET
ap-2074	102	17	basic	basic	ADJ
ap-2074	102	18	(	(	PUNCT
ap-2074	102	19	bi-)variational	bi-)variational	PROPN
ap-2074	102	20	ccm	ccm	PROPN
ap-2074	102	21	ansätze	ansätze	PROPN
ap-2074	102	22	.	.	PUNCT
ap-2074	103	1	in	in	ADP
ap-2074	103	2	an	an	DET
ap-2074	103	3	introductory	introductory	ADJ
ap-2074	103	4	step	step	NOUN
ap-2074	103	5	let	let	VERB
ap-2074	103	6	us	we	PRON
ap-2074	103	7	return	return	VERB
ap-2074	103	8	,	,	PUNCT
ap-2074	103	9	therefore	therefore	ADV
ap-2074	103	10	,	,	PUNCT
ap-2074	103	11	to	to	ADP
ap-2074	103	12	the	the	DET
ap-2074	103	13	ibm	ibm	PROPN
ap-2074	103	14	-	-	PUNCT
ap-2074	103	15	motivated	motivate	VERB
ap-2074	103	16	version	version	NOUN
ap-2074	103	17	of	of	ADP
ap-2074	103	18	the	the	DET
ap-2074	103	19	ths	th	NOUN
ap-2074	103	20	approach	approach	NOUN
ap-2074	103	21	,	,	PUNCT
ap-2074	103	22	in	in	ADP
ap-2074	103	23	which	which	PRON
ap-2074	103	24	one	one	PRON
ap-2074	103	25	assumes	assume	VERB
ap-2074	103	26	a	a	DET
ap-2074	103	27	full	full	ADJ
ap-2074	103	28	knowledge	knowledge	NOUN
ap-2074	103	29	of	of	ADP
ap-2074	103	30	the	the	DET
ap-2074	103	31	realistic	realistic	ADJ
ap-2074	103	32	,	,	PUNCT
ap-2074	103	33	albeit	albeit	SCONJ
ap-2074	103	34	prohibitively	prohibitively	ADV
ap-2074	103	35	complicated	complicated	ADJ
ap-2074	103	36	,	,	PUNCT
ap-2074	103	37	hamiltonian	hamiltonian	ADJ
ap-2074	103	38	h	h	NOUN
ap-2074	103	39	=	=	SYM
ap-2074	103	40	h†	h†	ADJ
ap-2074	103	41	,	,	PUNCT
ap-2074	103	42	defined	define	VERB
ap-2074	103	43	in	in	ADP
ap-2074	103	44	some	some	DET
ap-2074	103	45	microscopic	microscopic	ADJ
ap-2074	103	46	physical	physical	ADJ
ap-2074	103	47	hilbert	hilbert	NOUN
ap-2074	103	48	space	space	NOUN
ap-2074	103	49	h(p	h(p	PROPN
ap-2074	103	50	)	)	PUNCT
ap-2074	103	51	.	.	PUNCT
ap-2074	104	1	a	a	DET
ap-2074	104	2	qualified	qualified	ADJ
ap-2074	104	3	guess	guess	NOUN
ap-2074	104	4	or	or	CCONJ
ap-2074	104	5	construction	construction	NOUN
ap-2074	104	6	of	of	ADP
ap-2074	104	7	ω	ω	PROPN
ap-2074	104	8	will	will	AUX
ap-2074	104	9	be	be	AUX
ap-2074	104	10	then	then	ADV
ap-2074	104	11	vital	vital	ADJ
ap-2074	104	12	for	for	ADP
ap-2074	104	13	the	the	DET
ap-2074	104	14	success	success	NOUN
ap-2074	104	15	of	of	ADP
ap-2074	104	16	computations	computation	NOUN
ap-2074	104	17	,	,	PUNCT
ap-2074	104	18	i.e.	i.e.	X
ap-2074	104	19	,	,	PUNCT
ap-2074	104	20	first	first	ADV
ap-2074	104	21	of	of	ADP
ap-2074	104	22	all	all	PRON
ap-2074	104	23	,	,	PUNCT
ap-2074	104	24	for	for	ADP
ap-2074	104	25	the	the	DET
ap-2074	104	26	success	success	NOUN
ap-2074	104	27	of	of	ADP
ap-2074	104	28	the	the	DET
ap-2074	104	29	practically	practically	ADV
ap-2074	104	30	tractable	tractable	ADJ
ap-2074	104	31	construction	construction	NOUN
ap-2074	104	32	and	and	CCONJ
ap-2074	104	33	solution	solution	NOUN
ap-2074	104	34	of	of	ADP
ap-2074	104	35	the	the	DET
ap-2074	104	36	pair	pair	NOUN
ap-2074	104	37	of	of	ADP
ap-2074	104	38	schrödinger	schrödinger	PROPN
ap-2074	104	39	eqs	eqs	PROPN
ap-2074	104	40	.	.	PUNCT
ap-2074	105	1	(	(	PUNCT
ap-2074	105	2	6	6	NUM
ap-2074	105	3	)	)	PUNCT
ap-2074	105	4	.	.	PUNCT
ap-2074	106	1	3.1	3.1	NUM
ap-2074	106	2	.	.	PUNCT
ap-2074	106	3	brief	brief	ADJ
ap-2074	106	4	introduction	introduction	NOUN
ap-2074	106	5	to	to	ADP
ap-2074	106	6	ccm	ccm	NOUN
ap-2074	106	7	constructions	construction	NOUN
ap-2074	106	8	in	in	ADP
ap-2074	106	9	the	the	DET
ap-2074	106	10	ccm	ccm	NOUN
ap-2074	106	11	context	context	NOUN
ap-2074	106	12	,	,	PUNCT
ap-2074	106	13	the	the	DET
ap-2074	106	14	generic	generic	ADJ
ap-2074	106	15	,	,	PUNCT
ap-2074	106	16	dyson	dyson	NOUN
ap-2074	106	17	-	-	PUNCT
ap-2074	106	18	inspired	inspire	VERB
ap-2074	106	19	nonunitary	nonunitary	ADJ
ap-2074	106	20	mapping	mapping	NOUN
ap-2074	106	21	ω(ccm	ω(ccm	NOUN
ap-2074	106	22	)	)	PUNCT
ap-2074	106	23	has	have	AUX
ap-2074	106	24	traditionally	traditionally	ADV
ap-2074	106	25	been	be	AUX
ap-2074	106	26	considered	consider	VERB
ap-2074	106	27	in	in	ADP
ap-2074	106	28	the	the	DET
ap-2074	106	29	specific	specific	ADJ
ap-2074	106	30	linked	link	VERB
ap-2074	106	31	-	-	PUNCT
ap-2074	106	32	cluster	cluster	NOUN
ap-2074	106	33	form	form	NOUN
ap-2074	106	34	of	of	ADP
ap-2074	106	35	an	an	DET
ap-2074	106	36	exponential	exponential	ADJ
ap-2074	106	37	operator	operator	NOUN
ap-2074	106	38	ω(ccm	ω(ccm	NOUN
ap-2074	106	39	)	)	PUNCT
ap-2074	106	40	=	=	SYM
ap-2074	106	41	exps	exp	NOUN
ap-2074	106	42	.	.	PUNCT
ap-2074	107	1	in	in	ADP
ap-2074	107	2	the	the	DET
ap-2074	107	3	literature	literature	NOUN
ap-2074	107	4	(	(	PUNCT
ap-2074	107	5	cf	cf	NOUN
ap-2074	107	6	.	.	NOUN
ap-2074	107	7	,	,	PUNCT
ap-2074	107	8	e.g.	e.g.	ADV
ap-2074	107	9	,	,	PUNCT
ap-2074	107	10	[	[	X
ap-2074	107	11	17	17	NUM
ap-2074	107	12	]	]	PUNCT
ap-2074	107	13	with	with	ADP
ap-2074	107	14	further	further	ADJ
ap-2074	107	15	references	reference	NOUN
ap-2074	107	16	)	)	PUNCT
ap-2074	107	17	one	one	PRON
ap-2074	107	18	may	may	AUX
ap-2074	107	19	find	find	VERB
ap-2074	107	20	a	a	DET
ap-2074	107	21	huge	huge	ADJ
ap-2074	107	22	number	number	NOUN
ap-2074	107	23	of	of	ADP
ap-2074	107	24	practical	practical	ADJ
ap-2074	107	25	applications	application	NOUN
ap-2074	107	26	of	of	ADP
ap-2074	107	27	the	the	DET
ap-2074	107	28	ccm	ccm	NOUN
ap-2074	107	29	strategy	strategy	NOUN
ap-2074	107	30	by	by	ADP
ap-2074	107	31	which	which	PRON
ap-2074	107	32	the	the	DET
ap-2074	107	33	ground	ground	NOUN
ap-2074	107	34	-	-	PUNCT
ap-2074	107	35	state	state	NOUN
ap-2074	107	36	wave	wave	NOUN
ap-2074	107	37	functions	function	NOUN
ap-2074	107	38	are	be	AUX
ap-2074	107	39	sought	seek	VERB
ap-2074	107	40	in	in	ADP
ap-2074	107	41	the	the	DET
ap-2074	107	42	form	form	NOUN
ap-2074	107	43	of	of	ADP
ap-2074	107	44	products	product	NOUN
ap-2074	107	45	|ψ	|ψ	VERB
ap-2074	107	46	〉	〉	NOUN
ap-2074	107	47	=	=	SYM
ap-2074	107	48	es	es	PROPN
ap-2074	107	49	|φ	|φ	PROPN
ap-2074	107	50	〉	〉	PROPN
ap-2074	107	51	.	.	PUNCT
ap-2074	108	1	(	(	PUNCT
ap-2074	108	2	7	7	X
ap-2074	108	3	)	)	PUNCT
ap-2074	108	4	the	the	DET
ap-2074	108	5	ket	ket	PROPN
ap-2074	108	6	vector	vector	NOUN
ap-2074	108	7	|φ	|φ	PROPN
ap-2074	108	8	〉	〉	PROPN
ap-2074	108	9	represents	represent	VERB
ap-2074	108	10	here	here	ADV
ap-2074	108	11	a	a	DET
ap-2074	108	12	normalized	normalized	ADJ
ap-2074	108	13	state	state	NOUN
ap-2074	108	14	(	(	PUNCT
ap-2074	108	15	usually	usually	ADV
ap-2074	108	16	called	call	VERB
ap-2074	108	17	the	the	DET
ap-2074	108	18	model	model	NOUN
ap-2074	108	19	state	state	NOUN
ap-2074	108	20	or	or	CCONJ
ap-2074	108	21	reference	reference	NOUN
ap-2074	108	22	state	state	NOUN
ap-2074	108	23	)	)	PUNCT
ap-2074	108	24	,	,	PUNCT
ap-2074	108	25	intended	intend	VERB
ap-2074	108	26	to	to	PART
ap-2074	108	27	be	be	AUX
ap-2074	108	28	employed	employ	VERB
ap-2074	108	29	as	as	ADP
ap-2074	108	30	a	a	DET
ap-2074	108	31	cyclic	cyclic	ADJ
ap-2074	108	32	vector	vector	NOUN
ap-2074	108	33	with	with	ADP
ap-2074	108	34	respect	respect	NOUN
ap-2074	108	35	to	to	ADP
ap-2074	108	36	a	a	DET
ap-2074	108	37	complete	complete	ADJ
ap-2074	108	38	set	set	NOUN
ap-2074	108	39	of	of	ADP
ap-2074	108	40	mutually	mutually	ADV
ap-2074	108	41	commuting	commute	VERB
ap-2074	108	42	multiconfigurational	multiconfigurational	ADJ
ap-2074	108	43	creation	creation	NOUN
ap-2074	108	44	operators	operator	NOUN
ap-2074	108	45	c+	c+	VERB
ap-2074	108	46			PROPN
ap-2074	108	47	≡	≡	PROPN
ap-2074	108	48	(	(	PUNCT
ap-2074	108	49	c−	c−	PROPN
ap-2074	108	50	)	)	PUNCT
ap-2074	108	51	†.	†.	VERB
ap-2074	108	52	our	our	PRON
ap-2074	108	53	use	use	NOUN
ap-2074	108	54	of	of	ADP
ap-2074	108	55	the	the	DET
ap-2074	108	56	special	special	ADJ
ap-2074	108	57	symbol	symbol	NOUN
ap-2074	108	58			NOUN
ap-2074	108	59	for	for	ADP
ap-2074	108	60	the	the	DET
ap-2074	108	61	index	index	NOUN
ap-2074	108	62	indicates	indicate	VERB
ap-2074	108	63	that	that	SCONJ
ap-2074	108	64	this	this	PRON
ap-2074	108	65	is	be	AUX
ap-2074	108	66	a	a	DET
ap-2074	108	67	multi	multi	ADJ
ap-2074	108	68	-	-	NOUN
ap-2074	108	69	index	index	NOUN
ap-2074	108	70	that	that	PRON
ap-2074	108	71	labels	label	VERB
ap-2074	108	72	the	the	DET
ap-2074	108	73	set	set	NOUN
ap-2074	108	74	of	of	ADP
ap-2074	108	75	all	all	DET
ap-2074	108	76	many	many	ADJ
ap-2074	108	77	-	-	PUNCT
ap-2074	108	78	particle	particle	NOUN
ap-2074	108	79	configurations	configuration	NOUN
ap-2074	108	80	.	.	PUNCT
ap-2074	109	1	in	in	ADP
ap-2074	109	2	other	other	ADJ
ap-2074	109	3	words	word	NOUN
ap-2074	109	4	,	,	PUNCT
ap-2074	109	5	states	state	NOUN
ap-2074	109	6	of	of	ADP
ap-2074	109	7	the	the	DET
ap-2074	109	8	many	many	ADJ
ap-2074	109	9	-	-	PUNCT
ap-2074	109	10	particle	particle	NOUN
ap-2074	109	11	quantum	quantum	NOUN
ap-2074	109	12	system	system	NOUN
ap-2074	109	13	in	in	ADP
ap-2074	109	14	question	question	NOUN
ap-2074	109	15	can	can	AUX
ap-2074	109	16	be	be	AUX
ap-2074	109	17	all	all	PRON
ap-2074	109	18	written	write	VERB
ap-2074	109	19	as	as	ADP
ap-2074	109	20	superpositions	superposition	NOUN
ap-2074	109	21	of	of	ADP
ap-2074	109	22	basis	basis	NOUN
ap-2074	109	23	states	state	NOUN
ap-2074	109	24	c+	c+	VERB
ap-2074	109	25			PROPN
ap-2074	109	26	|φ	|φ	NOUN
ap-2074	109	27	〉	〉	PROPN
ap-2074	109	28	.	.	PUNCT
ap-2074	110	1	variational	variational	ADJ
ap-2074	110	2	eigenkets	eigenket	NOUN
ap-2074	110	3	(	(	PUNCT
ap-2074	110	4	7	7	NUM
ap-2074	110	5	)	)	PUNCT
ap-2074	110	6	of	of	ADP
ap-2074	110	7	the	the	DET
ap-2074	110	8	many	many	ADJ
ap-2074	110	9	-	-	PUNCT
ap-2074	110	10	body	body	NOUN
ap-2074	110	11	selfadjoint	selfadjoint	NOUN
ap-2074	110	12	hamiltonian	hamiltonian	ADJ
ap-2074	110	13	h	h	NOUN
ap-2074	111	1	=	=	PUNCT
ap-2074	111	2	h†	h†	NOUN
ap-2074	111	3	are	be	AUX
ap-2074	111	4	conveniently	conveniently	ADV
ap-2074	111	5	written	write	VERB
ap-2074	111	6	in	in	ADP
ap-2074	111	7	terms	term	NOUN
ap-2074	111	8	of	of	ADP
ap-2074	111	9	the	the	DET
ap-2074	111	10	specific	specific	ADJ
ap-2074	111	11	ccm	ccm	NOUN
ap-2074	111	12	operator	operator	NOUN
ap-2074	111	13	ansatz	ansatz	ADV
ap-2074	111	14	s	s	PART
ap-2074	111	15	=	=	PUNCT
ap-2074	111	16	∑	∑	PUNCT
ap-2074	111	17			NOUN
ap-2074	111	18	6=0	6=0	NUM
ap-2074	111	19	sc	sc	X
ap-2074	111	20	+	+	CCONJ
ap-2074	111	21			NOUN
ap-2074	111	22	.	.	PUNCT
ap-2074	112	1	(	(	PUNCT
ap-2074	112	2	8)	8)	NUM
ap-2074	112	3	the	the	DET
ap-2074	112	4	fundamental	fundamental	ADJ
ap-2074	112	5	ccm	ccm	NOUN
ap-2074	112	6	replacement	replacement	NOUN
ap-2074	112	7	(	(	PUNCT
ap-2074	112	8	7	7	NUM
ap-2074	112	9	)	)	PUNCT
ap-2074	112	10	of	of	ADP
ap-2074	112	11	an	an	DET
ap-2074	112	12	unknown	unknown	ADJ
ap-2074	112	13	vector	vector	NOUN
ap-2074	112	14	|ψ	|ψ	NOUN
ap-2074	112	15	〉	〉	NUM
ap-2074	112	16	by	by	ADP
ap-2074	112	17	an	an	DET
ap-2074	112	18	unknown	unknown	ADJ
ap-2074	112	19	operator	operator	NOUN
ap-2074	112	20	s	s	VERB
ap-2074	112	21	is	be	AUX
ap-2074	112	22	very	very	ADV
ap-2074	112	23	well	well	ADV
ap-2074	112	24	motivated	motivated	ADJ
ap-2074	112	25	from	from	ADP
ap-2074	112	26	several	several	ADJ
ap-2074	112	27	independent	independent	ADJ
ap-2074	112	28	points	point	NOUN
ap-2074	112	29	of	of	ADP
ap-2074	112	30	view	view	NOUN
ap-2074	112	31	.	.	PUNCT
ap-2074	113	1	one	one	NUM
ap-2074	113	2	of	of	ADP
ap-2074	113	3	the	the	DET
ap-2074	113	4	motivations	motivation	NOUN
ap-2074	113	5	is	be	AUX
ap-2074	113	6	inherited	inherit	VERB
ap-2074	113	7	from	from	ADP
ap-2074	113	8	rayleighschrödinger	rayleighschrödinger	NOUN
ap-2074	113	9	perturbation	perturbation	NOUN
ap-2074	113	10	theory	theory	NOUN
ap-2074	113	11	,	,	PUNCT
ap-2074	113	12	in	in	ADP
ap-2074	113	13	which	which	PRON
ap-2074	113	14	,	,	PUNCT
ap-2074	113	15	at	at	ADP
ap-2074	113	16	a	a	DET
ap-2074	113	17	certain	certain	ADJ
ap-2074	113	18	stage	stage	NOUN
ap-2074	113	19	of	of	ADP
ap-2074	113	20	construction	construction	NOUN
ap-2074	113	21	,	,	PUNCT
ap-2074	113	22	the	the	DET
ap-2074	113	23	operator	operator	NOUN
ap-2074	113	24	schrödinger	schrödinger	ADJ
ap-2074	113	25	equation	equation	NOUN
ap-2074	113	26	h|ψ	h|ψ	VERB
ap-2074	113	27	〉	〉	NUM
ap-2074	113	28	=	=	PUNCT
ap-2074	113	29	e|ψ	e|ψ	VERB
ap-2074	113	30	〉	〉	NOUN
ap-2074	113	31	in	in	ADP
ap-2074	113	32	question	question	NOUN
ap-2074	113	33	is	be	AUX
ap-2074	113	34	replaced	replace	VERB
ap-2074	113	35	by	by	ADP
ap-2074	113	36	its	its	PRON
ap-2074	113	37	single	single	ADJ
ap-2074	113	38	bra	bra	NOUN
ap-2074	113	39	-	-	PUNCT
ap-2074	113	40	vector	vector	NOUN
ap-2074	113	41	projection	projection	NOUN
ap-2074	113	42	〈	〈	PROPN
ap-2074	113	43	0|h|ψ	0|h|ψ	NOUN
ap-2074	113	44	〉	〉	NOUN
ap-2074	113	45	=	=	SYM
ap-2074	114	1	e〈0|ψ	e〈0|ψ	NOUN
ap-2074	114	2	〉	〉	NOUN
ap-2074	114	3	or	or	CCONJ
ap-2074	114	4	,	,	PUNCT
ap-2074	114	5	more	more	ADV
ap-2074	114	6	generally	generally	ADV
ap-2074	114	7	,	,	PUNCT
ap-2074	114	8	by	by	ADP
ap-2074	114	9	a	a	DET
ap-2074	114	10	finitemultiplet	finitemultiplet	NOUN
ap-2074	114	11	of	of	ADP
ap-2074	114	12	such	such	ADJ
ap-2074	114	13	projections	projection	NOUN
ap-2074	114	14	〈	〈	ADP
ap-2074	114	15	0j	0j	NOUN
ap-2074	114	16	|h|ψ	|h|ψ	NOUN
ap-2074	114	17	〉	〉	NUM
ap-2074	114	18	=	=	SYM
ap-2074	114	19	e〈0j	e〈0j	PROPN
ap-2074	114	20	|ψ	|ψ	VERB
ap-2074	114	21	〉	〉	PROPN
ap-2074	114	22	.	.	PUNCT
ap-2074	115	1	the	the	DET
ap-2074	115	2	key	key	ADJ
ap-2074	115	3	advantage	advantage	NOUN
ap-2074	115	4	of	of	ADP
ap-2074	115	5	such	such	DET
ap-2074	115	6	a	a	DET
ap-2074	115	7	reduction	reduction	NOUN
ap-2074	115	8	lies	lie	VERB
ap-2074	115	9	in	in	ADP
ap-2074	115	10	the	the	DET
ap-2074	115	11	possibility	possibility	NOUN
ap-2074	115	12	of	of	ADP
ap-2074	115	13	a	a	DET
ap-2074	115	14	variationally	variationally	ADV
ap-2074	115	15	optimal	optimal	ADJ
ap-2074	115	16	choice	choice	NOUN
ap-2074	115	17	of	of	ADP
ap-2074	115	18	the	the	DET
ap-2074	115	19	bra	bra	NOUN
ap-2074	115	20	-	-	PUNCT
ap-2074	115	21	vectors	vector	NOUN
ap-2074	115	22	〈	〈	NOUN
ap-2074	115	23	0j	0j	NOUN
ap-2074	115	24	|	|	ADV
ap-2074	115	25	.	.	PUNCT
ap-2074	116	1	by	by	ADP
ap-2074	116	2	contrast	contrast	NOUN
ap-2074	116	3	,	,	PUNCT
ap-2074	116	4	the	the	DET
ap-2074	116	5	property	property	NOUN
ap-2074	116	6	of	of	ADP
ap-2074	116	7	the	the	DET
ap-2074	116	8	hermiticity	hermiticity	NOUN
ap-2074	116	9	of	of	ADP
ap-2074	116	10	hamiltonian	hamiltonian	ADJ
ap-2074	116	11	h	h	NOUN
ap-2074	116	12	becomes	become	VERB
ap-2074	116	13	,	,	PUNCT
ap-2074	116	14	to	to	ADP
ap-2074	116	15	a	a	DET
ap-2074	116	16	large	large	ADJ
ap-2074	116	17	degree	degree	NOUN
ap-2074	116	18	,	,	PUNCT
ap-2074	116	19	irrelevant	irrelevant	ADJ
ap-2074	116	20	.	.	PUNCT
ap-2074	117	1	thus	thus	ADV
ap-2074	117	2	,	,	PUNCT
ap-2074	117	3	one	one	NUM
ap-2074	117	4	transfers	transfer	NOUN
ap-2074	117	5	this	this	DET
ap-2074	117	6	experience	experience	NOUN
ap-2074	117	7	to	to	ADP
ap-2074	117	8	the	the	DET
ap-2074	117	9	ccm	ccm	NOUN
ap-2074	117	10	context	context	NOUN
ap-2074	117	11	by	by	ADP
ap-2074	117	12	introducing	introduce	VERB
ap-2074	117	13	a	a	DET
ap-2074	117	14	complementary	complementary	ADJ
ap-2074	117	15	,	,	PUNCT
ap-2074	117	16	formally	formally	ADV
ap-2074	117	17	redundant	redundant	ADJ
ap-2074	117	18	concept	concept	NOUN
ap-2074	117	19	of	of	ADP
ap-2074	117	20	left	left	ADJ
ap-2074	117	21	-	-	PUNCT
ap-2074	117	22	action	action	NOUN
ap-2074	117	23	variational	variational	ADJ
ap-2074	117	24	eigenvector	eigenvector	NOUN
ap-2074	117	25	〈	〈	PROPN
ap-2074	117	26	ψ̃|	ψ̃|	NOUN
ap-2074	117	27	of	of	ADP
ap-2074	117	28	h.	h.	PROPN
ap-2074	117	29	the	the	DET
ap-2074	117	30	nontrivial	nontrivial	ADJ
ap-2074	117	31	difference	difference	NOUN
ap-2074	117	32	between	between	ADP
ap-2074	117	33	the	the	DET
ap-2074	117	34	tilded	tilded	ADJ
ap-2074	117	35	and	and	CCONJ
ap-2074	117	36	untilded	untilded	ADJ
ap-2074	117	37	eigenvector	eigenvector	NOUN
ap-2074	117	38	|ψ̃	|ψ̃	PROPN
ap-2074	117	39	〉	〉	PROPN
ap-2074	117	40	and	and	CCONJ
ap-2074	117	41	|ψ	|ψ	NOUN
ap-2074	117	42	〉	〉	PROPN
ap-2074	117	43	is	be	AUX
ap-2074	117	44	motivated	motivate	VERB
ap-2074	117	45	by	by	ADP
ap-2074	117	46	the	the	DET
ap-2074	117	47	possibility	possibility	NOUN
ap-2074	117	48	of	of	ADP
ap-2074	117	49	introducing	introduce	VERB
ap-2074	117	50	an	an	DET
ap-2074	117	51	additional	additional	ADJ
ap-2074	117	52	set	set	NOUN
ap-2074	117	53	{	{	PUNCT
ap-2074	117	54	s̃	s̃	NOUN
ap-2074	117	55	}	}	PUNCT
ap-2074	117	56	of	of	ADP
ap-2074	117	57	free	free	ADJ
ap-2074	117	58	parameters	parameter	NOUN
ap-2074	117	59	in	in	ADP
ap-2074	117	60	the	the	DET
ap-2074	117	61	bra	bra	NOUN
ap-2074	117	62	-	-	PUNCT
ap-2074	117	63	vector	vector	NOUN
ap-2074	117	64	〈	〈	PROPN
ap-2074	117	65	ψ̃|	ψ̃|	NOUN
ap-2074	117	66	=	=	PUNCT
ap-2074	118	1	〈	〈	PROPN
ap-2074	118	2	φ|s̃e−s	φ|s̃e−s	PROPN
ap-2074	118	3	;	;	PUNCT
ap-2074	119	1	s̃	s̃	PROPN
ap-2074	119	2	=	=	PUNCT
ap-2074	120	1	i	i	PRON
ap-2074	120	2	+	+	CCONJ
ap-2074	120	3	∑	∑	PROPN
ap-2074	120	4	6=0	6=0	ADP
ap-2074	120	5	s̃c	s̃c	VERB
ap-2074	120	6	−	−	PROPN
ap-2074	120	7			PROPN
ap-2074	120	8	.	.	PUNCT
ap-2074	121	1	(	(	PUNCT
ap-2074	121	2	9	9	NUM
ap-2074	121	3	)	)	PUNCT
ap-2074	121	4	together	together	ADV
ap-2074	121	5	with	with	ADP
ap-2074	121	6	the	the	DET
ap-2074	121	7	conditions	condition	NOUN
ap-2074	121	8	of	of	ADP
ap-2074	121	9	completeness	completeness	NOUN
ap-2074	121	10	of	of	ADP
ap-2074	121	11	the	the	DET
ap-2074	121	12	basis∑	basis∑	NOUN
ap-2074	121	13			NOUN
ap-2074	121	14	c+	c+	VERB
ap-2074	121	15			NOUN
ap-2074	121	16	|φ〉〈φ|c−	|φ〉〈φ|c−	NOUN
ap-2074	121	17	=	=	SYM
ap-2074	122	1	i	i	NOUN
ap-2074	122	2	=	=	PRON
ap-2074	122	3	|φ〉〈φ|+	|φ〉〈φ|+	PUNCT
ap-2074	122	4	∑	∑	PUNCT
ap-2074	122	5			NOUN
ap-2074	122	6	6=0	6=0	NUM
ap-2074	122	7	c+	c+	VERB
ap-2074	122	8			PROPN
ap-2074	122	9	|φ〉〈φ|c−	|φ〉〈φ|c−	NOUN
ap-2074	122	10	,	,	PUNCT
ap-2074	122	11	(	(	PUNCT
ap-2074	122	12	10	10	NUM
ap-2074	122	13	)	)	PUNCT
ap-2074	122	14	and	and	CCONJ
ap-2074	122	15	together	together	ADV
ap-2074	122	16	with	with	ADP
ap-2074	122	17	the	the	DET
ap-2074	122	18	usual	usual	ADJ
ap-2074	122	19	properties	property	NOUN
ap-2074	122	20	of	of	ADP
ap-2074	122	21	the	the	DET
ap-2074	122	22	creation	creation	NOUN
ap-2074	122	23	and	and	CCONJ
ap-2074	122	24	annihilation	annihilation	NOUN
ap-2074	122	25	operators	operator	NOUN
ap-2074	122	26	,	,	PUNCT
ap-2074	122	27	c−	c−	PROPN
ap-2074	122	28	|φ	|φ	NOUN
ap-2074	122	29	〉	〉	NOUN
ap-2074	122	30	=	=	SYM
ap-2074	122	31	0	0	PUNCT
ap-2074	122	32	=	=	SYM
ap-2074	122	33	〈	〈	PROPN
ap-2074	122	34	φ|c+	φ|c+	NOUN
ap-2074	122	35			NOUN
ap-2074	122	36	;	;	PUNCT
ap-2074	122	37	∀	∀	PROPN
ap-2074	122	38	6=	6=	ADP
ap-2074	122	39	0	0	NUM
ap-2074	122	40	(	(	PUNCT
ap-2074	122	41	11	11	NUM
ap-2074	122	42	)	)	PUNCT
ap-2074	122	43	and	and	CCONJ
ap-2074	122	44	[	[	X
ap-2074	122	45	c+	c+	X
ap-2074	122	46			NOUN
ap-2074	122	47	,	,	PUNCT
ap-2074	122	48	c	c	PROPN
ap-2074	123	1	+	+	PROPN
ap-2074	123	2	j	j	X
ap-2074	123	3	]	]	X
ap-2074	124	1	=	=	PUNCT
ap-2074	124	2	0	0	PUNCT
ap-2074	125	1	=	=	PUNCT
ap-2074	126	1	[	[	X
ap-2074	126	2	c−	c−	PROPN
ap-2074	126	3	,	,	PUNCT
ap-2074	126	4	c−j	c−j	VERB
ap-2074	126	5	]	]	PUNCT
ap-2074	126	6	(	(	PUNCT
ap-2074	126	7	12	12	NUM
ap-2074	126	8	)	)	PUNCT
ap-2074	126	9	we	we	PRON
ap-2074	126	10	arrive	arrive	VERB
ap-2074	126	11	at	at	ADP
ap-2074	126	12	the	the	DET
ap-2074	126	13	standard	standard	ADJ
ap-2074	126	14	version	version	NOUN
ap-2074	126	15	of	of	ADP
ap-2074	126	16	the	the	DET
ap-2074	126	17	ccm	ccm	NOUN
ap-2074	126	18	formalism	formalism	NOUN
ap-2074	126	19	,	,	PUNCT
ap-2074	126	20	in	in	ADP
ap-2074	126	21	which	which	PRON
ap-2074	126	22	one	one	NOUN
ap-2074	126	23	currently	currently	ADV
ap-2074	126	24	employs	employ	VERB
ap-2074	126	25	approximations	approximation	NOUN
ap-2074	126	26	which	which	PRON
ap-2074	126	27	do	do	AUX
ap-2074	126	28	not	not	PART
ap-2074	126	29	make	make	VERB
ap-2074	126	30	use	use	NOUN
ap-2074	126	31	of	of	ADP
ap-2074	126	32	the	the	DET
ap-2074	126	33	manifest	manif	ADJ
ap-2074	126	34	hermiticity	hermiticity	NOUN
ap-2074	126	35	of	of	ADP
ap-2074	126	36	the	the	DET
ap-2074	126	37	original	original	ADJ
ap-2074	126	38	eigenvalue	eigenvalue	NOUN
ap-2074	126	39	problem	problem	NOUN
ap-2074	126	40	.	.	PUNCT
ap-2074	127	1	such	such	ADJ
ap-2074	127	2	approximations	approximation	NOUN
ap-2074	127	3	may	may	AUX
ap-2074	127	4	entail	entail	VERB
ap-2074	127	5	keeping	keep	VERB
ap-2074	127	6	only	only	ADV
ap-2074	127	7	a	a	DET
ap-2074	127	8	physically	physically	ADV
ap-2074	127	9	motivated	motivated	ADJ
ap-2074	127	10	subset	subset	NOUN
ap-2074	127	11	of	of	ADP
ap-2074	127	12	the	the	DET
ap-2074	127	13	multi	multi	ADJ
ap-2074	127	14	-	-	ADJ
ap-2074	127	15	indices	index	NOUN
ap-2074	127	16			PROPN
ap-2074	127	17	in	in	ADP
ap-2074	127	18	the	the	DET
ap-2074	127	19	otherwise	otherwise	ADV
ap-2074	127	20	exact	exact	ADJ
ap-2074	127	21	expansions	expansion	NOUN
ap-2074	127	22	of	of	ADP
ap-2074	127	23	the	the	DET
ap-2074	127	24	correlation	correlation	NOUN
ap-2074	127	25	operators	operator	NOUN
ap-2074	127	26	s	s	PART
ap-2074	127	27	and	and	CCONJ
ap-2074	127	28	s̃	s̃	PROPN
ap-2074	127	29	in	in	ADP
ap-2074	127	30	eqs	eqs	PROPN
ap-2074	127	31	.	.	PUNCT
ap-2074	128	1	(	(	PUNCT
ap-2074	128	2	7)–(9	7)–(9	NOUN
ap-2074	128	3	)	)	PUNCT
ap-2074	128	4	.	.	PUNCT
ap-2074	129	1	as	as	ADP
ap-2074	129	2	an	an	DET
ap-2074	129	3	immediate	immediate	ADJ
ap-2074	129	4	mathematical	mathematical	ADJ
ap-2074	129	5	consequence	consequence	NOUN
ap-2074	129	6	,	,	PUNCT
ap-2074	129	7	the	the	DET
ap-2074	129	8	ccm	ccm	NOUN
ap-2074	129	9	schrödinger	schrödinger	ADJ
ap-2074	129	10	equation	equation	NOUN
ap-2074	129	11	for	for	ADP
ap-2074	129	12	ground	ground	NOUN
ap-2074	129	13	state	state	NOUN
ap-2074	129	14	acquires	acquire	VERB
ap-2074	129	15	the	the	DET
ap-2074	129	16	two	two	NUM
ap-2074	129	17	different	different	ADJ
ap-2074	129	18	and	and	CCONJ
ap-2074	129	19	mutually	mutually	ADV
ap-2074	129	20	non	non	ADJ
ap-2074	129	21	-	-	ADJ
ap-2074	129	22	conjugate	conjugate	ADJ
ap-2074	129	23	alternative	alternative	ADJ
ap-2074	129	24	forms	form	NOUN
ap-2074	129	25	ĥ|φ	ĥ|φ	ADV
ap-2074	129	26	〉	〉	NUM
ap-2074	129	27	=	=	SYM
ap-2074	129	28	e|φ	e|φ	PROPN
ap-2074	129	29	〉	〉	PROPN
ap-2074	129	30	,	,	PUNCT
ap-2074	129	31	〈	〈	PROPN
ap-2074	129	32	φ|s̃	φ|s̃	NOUN
ap-2074	129	33	ĥ	ĥ	X
ap-2074	129	34	=	=	SYM
ap-2074	129	35	e〈φ|s̃	e〈φ|s̃	ADJ
ap-2074	129	36	,	,	PUNCT
ap-2074	129	37	ĥ	ĥ	X
ap-2074	129	38	=	=	SYM
ap-2074	129	39	e−shes	e−shes	PROPN
ap-2074	129	40	.	.	PUNCT
ap-2074	130	1	(	(	PUNCT
ap-2074	130	2	13	13	NUM
ap-2074	130	3	)	)	PUNCT
ap-2074	130	4	obviously	obviously	ADV
ap-2074	130	5	,	,	PUNCT
ap-2074	130	6	once	once	SCONJ
ap-2074	130	7	the	the	DET
ap-2074	130	8	two	two	NUM
ap-2074	130	9	sets	set	NOUN
ap-2074	130	10	of	of	ADP
ap-2074	130	11	coefficients	coefficient	NOUN
ap-2074	130	12	{	{	PUNCT
ap-2074	130	13	s	s	NOUN
ap-2074	130	14	}	}	PUNCT
ap-2074	130	15	and	and	CCONJ
ap-2074	130	16	{	{	PUNCT
ap-2074	130	17	s̃	s̃	PROPN
ap-2074	130	18	}	}	PUNCT
ap-2074	130	19	are	be	AUX
ap-2074	130	20	determined	determine	VERB
ap-2074	130	21	,	,	PUNCT
ap-2074	130	22	all	all	DET
ap-2074	130	23	the	the	DET
ap-2074	130	24	ground	ground	NOUN
ap-2074	130	25	-	-	PUNCT
ap-2074	130	26	state	state	NOUN
ap-2074	130	27	properties	property	NOUN
ap-2074	130	28	of	of	ADP
ap-2074	130	29	the	the	DET
ap-2074	130	30	many	many	ADJ
ap-2074	130	31	-	-	PUNCT
ap-2074	130	32	body	body	NOUN
ap-2074	130	33	system	system	NOUN
ap-2074	130	34	in	in	ADP
ap-2074	130	35	question	question	NOUN
ap-2074	130	36	may	may	AUX
ap-2074	130	37	be	be	AUX
ap-2074	130	38	considered	consider	VERB
ap-2074	130	39	as	as	SCONJ
ap-2074	130	40	known	know	VERB
ap-2074	130	41	.	.	PUNCT
ap-2074	131	1	the	the	DET
ap-2074	131	2	ground	ground	NOUN
ap-2074	131	3	-	-	PUNCT
ap-2074	131	4	state	state	NOUN
ap-2074	131	5	expectation	expectation	NOUN
ap-2074	131	6	value	value	NOUN
ap-2074	131	7	of	of	ADP
ap-2074	131	8	any	any	DET
ap-2074	131	9	given	give	VERB
ap-2074	131	10	operator	operator	NOUN
ap-2074	131	11	λ	λ	NOUN
ap-2074	131	12	should	should	AUX
ap-2074	131	13	be	be	AUX
ap-2074	131	14	evaluated	evaluate	VERB
ap-2074	131	15	from	from	ADP
ap-2074	131	16	the	the	DET
ap-2074	131	17	asymmetric	asymmetric	ADJ
ap-2074	131	18	prescription	prescription	NOUN
ap-2074	131	19	〈	〈	PROPN
ap-2074	131	20	ψ̃|λ	ψ̃|λ	NOUN
ap-2074	131	21	|ψ	|ψ	ADP
ap-2074	131	22	〉	〉	NOUN
ap-2074	131	23	=	=	PUNCT
ap-2074	131	24	〈	〈	AUX
ap-2074	131	25	φ|s̃e−sλes	φ|s̃e−sλes	PROPN
ap-2074	131	26	|φ	|φ	NOUN
ap-2074	131	27	〉	〉	NOUN
ap-2074	131	28	=	=	SYM
ap-2074	131	29	λ̄(s	λ̄(s	PROPN
ap-2074	131	30	,	,	PUNCT
ap-2074	131	31	s̃	s̃	PROPN
ap-2074	131	32	)	)	PUNCT
ap-2074	131	33	.	.	PUNCT
ap-2074	132	1	(	(	PUNCT
ap-2074	132	2	14	14	NUM
ap-2074	132	3	)	)	PUNCT
ap-2074	132	4	88	88	NUM
ap-2074	132	5	vol	vol	NOUN
ap-2074	132	6	.	.	PUNCT
ap-2074	133	1	54	54	NUM
ap-2074	133	2	no	no	NOUN
ap-2074	133	3	.	.	PUNCT
ap-2074	134	1	2/2014	2/2014	PROPN
ap-2074	135	1	the	the	DET
ap-2074	135	2	coupled	couple	VERB
ap-2074	135	3	-	-	PUNCT
ap-2074	135	4	cluster	cluster	NOUN
ap-2074	135	5	approach	approach	NOUN
ap-2074	135	6	to	to	ADP
ap-2074	135	7	quantum	quantum	ADJ
ap-2074	135	8	many	many	ADJ
ap-2074	135	9	-	-	PUNCT
ap-2074	135	10	body	body	NOUN
ap-2074	135	11	problem	problem	NOUN
ap-2074	135	12	this	this	DET
ap-2074	135	13	recipe	recipe	NOUN
ap-2074	135	14	keeps	keep	VERB
ap-2074	135	15	trace	trace	NOUN
ap-2074	135	16	of	of	ADP
ap-2074	135	17	the	the	DET
ap-2074	135	18	artificial	artificial	ADJ
ap-2074	135	19	asymmetry	asymmetry	NOUN
ap-2074	135	20	as	as	SCONJ
ap-2074	135	21	introduced	introduce	VERB
ap-2074	135	22	in	in	ADP
ap-2074	135	23	eq	eq	ADP
ap-2074	135	24	.	.	PUNCT
ap-2074	136	1	(	(	PUNCT
ap-2074	136	2	13	13	NUM
ap-2074	136	3	)	)	PUNCT
ap-2074	136	4	which	which	PRON
ap-2074	136	5	,	,	PUNCT
ap-2074	136	6	in	in	ADP
ap-2074	136	7	its	its	PRON
ap-2074	136	8	turn	turn	NOUN
ap-2074	136	9	,	,	PUNCT
ap-2074	136	10	simplifies	simplify	VERB
ap-2074	136	11	certain	certain	ADJ
ap-2074	136	12	technical	technical	ADJ
ap-2074	136	13	aspects	aspect	NOUN
ap-2074	136	14	of	of	ADP
ap-2074	136	15	the	the	DET
ap-2074	136	16	global	global	ADJ
ap-2074	136	17	ccm	ccm	PROPN
ap-2074	136	18	approach	approach	NOUN
ap-2074	136	19	.	.	PUNCT
ap-2074	137	1	in	in	ADP
ap-2074	137	2	particular	particular	ADJ
ap-2074	137	3	,	,	PUNCT
ap-2074	137	4	in	in	ADP
ap-2074	137	5	the	the	DET
ap-2074	137	6	bi	bi	ADJ
ap-2074	137	7	-	-	ADJ
ap-2074	137	8	variational	variational	ADJ
ap-2074	137	9	spirit	spirit	NOUN
ap-2074	137	10	the	the	DET
ap-2074	137	11	energy	energy	NOUN
ap-2074	137	12	expectation	expectation	NOUN
ap-2074	137	13	formula	formula	NOUN
ap-2074	137	14	〈	〈	PROPN
ap-2074	137	15	ψ̃|h|ψ	ψ̃|h|ψ	PROPN
ap-2074	137	16	〉	〉	PROPN
ap-2074	137	17	=	=	SYM
ap-2074	137	18	〈	〈	PROPN
ap-2074	137	19	φ̃|ĥ|φ	φ̃|ĥ|φ	PROPN
ap-2074	137	20	〉	〉	PROPN
ap-2074	137	21	(	(	PUNCT
ap-2074	137	22	15	15	NUM
ap-2074	137	23	)	)	PUNCT
ap-2074	137	24	may	may	AUX
ap-2074	137	25	now	now	ADV
ap-2074	137	26	be	be	AUX
ap-2074	137	27	minimized	minimize	VERB
ap-2074	137	28	with	with	ADP
ap-2074	137	29	respect	respect	NOUN
ap-2074	137	30	to	to	ADP
ap-2074	137	31	the	the	DET
ap-2074	137	32	full	full	ADJ
ap-2074	137	33	set	set	NOUN
ap-2074	137	34	of	of	ADP
ap-2074	137	35	parameters	parameter	NOUN
ap-2074	137	36	{	{	PUNCT
ap-2074	137	37	s	s	NOUN
ap-2074	137	38	,	,	PUNCT
ap-2074	137	39	s̃	s̃	PROPN
ap-2074	137	40	}	}	PUNCT
ap-2074	137	41	.	.	PUNCT
ap-2074	138	1	two	two	NUM
ap-2074	138	2	equations	equation	NOUN
ap-2074	138	3	follow	follow	VERB
ap-2074	138	4	,	,	PUNCT
ap-2074	138	5	viz	viz	PROPN
ap-2074	138	6	.	.	PROPN
ap-2074	138	7	,	,	PUNCT
ap-2074	138	8	〈	〈	PROPN
ap-2074	138	9	φ|c−	φ|c−	VERB
ap-2074	138	10	ĥ|φ	ĥ|φ	ADV
ap-2074	138	11	〉	〉	PROPN
ap-2074	138	12	=	=	SYM
ap-2074	138	13	0	0	NUM
ap-2074	138	14	;	;	PUNCT
ap-2074	138	15	∀	∀	PROPN
ap-2074	138	16	6=	6=	ADP
ap-2074	138	17	0	0	NUM
ap-2074	138	18	(	(	PUNCT
ap-2074	138	19	16	16	NUM
ap-2074	138	20	)	)	PUNCT
ap-2074	138	21	and	and	CCONJ
ap-2074	138	22	〈	〈	PROPN
ap-2074	138	23	φ|s̃(ĥ−	φ|s̃(ĥ−	ADJ
ap-2074	138	24	e)c+	e)c+	NUM
ap-2074	138	25			NOUN
ap-2074	138	26	|φ	|φ	NOUN
ap-2074	138	27	〉	〉	NOUN
ap-2074	138	28	=	=	SYM
ap-2074	138	29	0	0	NUM
ap-2074	138	30	;	;	PUNCT
ap-2074	138	31	∀	∀	PROPN
ap-2074	138	32	6=	6=	ADP
ap-2074	138	33	0	0	NUM
ap-2074	138	34	.	.	PUNCT
ap-2074	139	1	(	(	PUNCT
ap-2074	139	2	17	17	NUM
ap-2074	139	3	)	)	PUNCT
ap-2074	139	4	in	in	ADP
ap-2074	139	5	their	their	PRON
ap-2074	139	6	turn	turn	NOUN
ap-2074	139	7	,	,	PUNCT
ap-2074	139	8	these	these	DET
ap-2074	139	9	relations	relation	NOUN
ap-2074	139	10	may	may	AUX
ap-2074	139	11	be	be	AUX
ap-2074	139	12	interpreted	interpret	VERB
ap-2074	139	13	as	as	ADP
ap-2074	139	14	a	a	DET
ap-2074	139	15	coupled	couple	VERB
ap-2074	139	16	algebraic	algebraic	ADJ
ap-2074	139	17	set	set	NOUN
ap-2074	139	18	of	of	ADP
ap-2074	139	19	equations	equation	NOUN
ap-2074	139	20	that	that	PRON
ap-2074	139	21	determine	determine	VERB
ap-2074	139	22	the	the	DET
ap-2074	139	23	parameters	parameter	NOUN
ap-2074	139	24	{	{	PUNCT
ap-2074	139	25	s	s	NOUN
ap-2074	139	26	,	,	PUNCT
ap-2074	139	27	s̃	s̃	PROPN
ap-2074	139	28	}	}	PUNCT
ap-2074	139	29	.	.	PUNCT
ap-2074	140	1	the	the	DET
ap-2074	140	2	consistency	consistency	NOUN
ap-2074	140	3	of	of	ADP
ap-2074	140	4	the	the	DET
ap-2074	140	5	recipe	recipe	NOUN
ap-2074	140	6	may	may	AUX
ap-2074	140	7	be	be	AUX
ap-2074	140	8	reconfirmed	reconfirm	VERB
ap-2074	140	9	by	by	ADP
ap-2074	140	10	the	the	DET
ap-2074	140	11	derivation	derivation	NOUN
ap-2074	140	12	of	of	ADP
ap-2074	140	13	the	the	DET
ap-2074	140	14	former	former	ADJ
ap-2074	140	15	relation	relation	NOUN
ap-2074	140	16	(	(	PUNCT
ap-2074	140	17	16	16	NUM
ap-2074	140	18	)	)	PUNCT
ap-2074	140	19	from	from	ADP
ap-2074	140	20	the	the	DET
ap-2074	140	21	assumption	assumption	NOUN
ap-2074	140	22	of	of	ADP
ap-2074	140	23	completeness	completeness	NOUN
ap-2074	140	24	of	of	ADP
ap-2074	140	25	the	the	DET
ap-2074	140	26	set	set	NOUN
ap-2074	140	27	of	of	ADP
ap-2074	140	28	states	state	NOUN
ap-2074	140	29	{	{	PUNCT
ap-2074	140	30	〈	〈	VERB
ap-2074	140	31	φ|c−	φ|c−	X
ap-2074	140	32	}	}	PUNCT
ap-2074	140	33	.	.	PUNCT
ap-2074	141	1	similarly	similarly	ADV
ap-2074	141	2	,	,	PUNCT
ap-2074	141	3	eq	eq	NOUN
ap-2074	141	4	.	.	PUNCT
ap-2074	142	1	(	(	PUNCT
ap-2074	142	2	17	17	NUM
ap-2074	142	3	)	)	PUNCT
ap-2074	142	4	may	may	AUX
ap-2074	142	5	be	be	AUX
ap-2074	142	6	perceived	perceive	VERB
ap-2074	142	7	as	as	ADP
ap-2074	142	8	a	a	DET
ap-2074	142	9	consequence	consequence	NOUN
ap-2074	142	10	of	of	ADP
ap-2074	142	11	the	the	DET
ap-2074	142	12	completeness	completeness	NOUN
ap-2074	142	13	of	of	ADP
ap-2074	142	14	the	the	DET
ap-2074	142	15	conjugate	conjugate	ADJ
ap-2074	142	16	set	set	NOUN
ap-2074	142	17	{	{	PUNCT
ap-2074	142	18	c+	c+	PROPN
ap-2074	142	19			PROPN
ap-2074	142	20	|φ	|φ	NOUN
ap-2074	142	21	〉	〉	NOUN
ap-2074	142	22	}	}	PUNCT
ap-2074	142	23	.	.	PUNCT
ap-2074	143	1	the	the	DET
ap-2074	143	2	coupled	couple	VERB
ap-2074	143	3	equations	equation	NOUN
ap-2074	143	4	(	(	PUNCT
ap-2074	143	5	16	16	NUM
ap-2074	143	6	)	)	PUNCT
ap-2074	143	7	and	and	CCONJ
ap-2074	143	8	(	(	PUNCT
ap-2074	143	9	17	17	NUM
ap-2074	143	10	)	)	PUNCT
ap-2074	143	11	are	be	AUX
ap-2074	143	12	of	of	ADP
ap-2074	143	13	the	the	DET
ap-2074	143	14	goldstone	goldstone	NOUN
ap-2074	143	15	linked	link	VERB
ap-2074	143	16	-	-	PUNCT
ap-2074	143	17	cluster	cluster	NOUN
ap-2074	143	18	type	type	NOUN
ap-2074	143	19	.	.	PUNCT
ap-2074	144	1	for	for	ADP
ap-2074	144	2	this	this	DET
ap-2074	144	3	reason	reason	NOUN
ap-2074	144	4	,	,	PUNCT
ap-2074	144	5	all	all	DET
ap-2074	144	6	extensive	extensive	ADJ
ap-2074	144	7	variables	variable	NOUN
ap-2074	144	8	,	,	PUNCT
ap-2074	144	9	such	such	ADJ
ap-2074	144	10	as	as	ADP
ap-2074	144	11	the	the	DET
ap-2074	144	12	energy	energy	NOUN
ap-2074	144	13	,	,	PUNCT
ap-2074	144	14	scale	scale	NOUN
ap-2074	144	15	linearly	linearly	ADV
ap-2074	144	16	with	with	ADP
ap-2074	144	17	the	the	DET
ap-2074	144	18	number	number	NOUN
ap-2074	144	19	of	of	ADP
ap-2074	144	20	particles	particle	NOUN
ap-2074	144	21	at	at	ADP
ap-2074	144	22	every	every	DET
ap-2074	144	23	level	level	NOUN
ap-2074	144	24	of	of	ADP
ap-2074	144	25	approximation	approximation	NOUN
ap-2074	144	26	.	.	PUNCT
ap-2074	145	1	this	this	PRON
ap-2074	145	2	is	be	AUX
ap-2074	145	3	another	another	DET
ap-2074	145	4	merit	merit	NOUN
ap-2074	145	5	of	of	ADP
ap-2074	145	6	the	the	DET
ap-2074	145	7	ccm	ccm	NOUN
ap-2074	145	8	construction	construction	NOUN
ap-2074	145	9	.	.	PUNCT
ap-2074	146	1	among	among	ADP
ap-2074	146	2	the	the	DET
ap-2074	146	3	disadvantages	disadvantage	NOUN
ap-2074	146	4	we	we	PRON
ap-2074	146	5	mention	mention	VERB
ap-2074	146	6	that	that	SCONJ
ap-2074	146	7	the	the	DET
ap-2074	146	8	ground	ground	NOUN
ap-2074	146	9	-	-	PUNCT
ap-2074	146	10	state	state	NOUN
ap-2074	146	11	energy	energy	NOUN
ap-2074	146	12	formula	formula	NOUN
ap-2074	146	13	does	do	AUX
ap-2074	146	14	not	not	PART
ap-2074	146	15	necessarily	necessarily	ADV
ap-2074	146	16	provide	provide	VERB
ap-2074	146	17	an	an	DET
ap-2074	146	18	upper	upper	ADJ
ap-2074	146	19	bound	bind	VERB
ap-2074	146	20	,	,	PUNCT
ap-2074	146	21	due	due	ADP
ap-2074	146	22	to	to	ADP
ap-2074	146	23	the	the	DET
ap-2074	146	24	intentional	intentional	ADJ
ap-2074	146	25	violation	violation	NOUN
ap-2074	146	26	of	of	ADP
ap-2074	146	27	manifest	manifest	ADJ
ap-2074	146	28	hermiticity	hermiticity	NOUN
ap-2074	146	29	for	for	ADP
ap-2074	146	30	the	the	DET
ap-2074	146	31	problem	problem	NOUN
ap-2074	146	32	.	.	PUNCT
ap-2074	147	1	still	still	ADV
ap-2074	147	2	,	,	PUNCT
ap-2074	147	3	the	the	DET
ap-2074	147	4	recipe	recipe	NOUN
ap-2074	147	5	enables	enable	VERB
ap-2074	147	6	us	we	PRON
ap-2074	147	7	to	to	PART
ap-2074	147	8	determine	determine	VERB
ap-2074	147	9	both	both	CCONJ
ap-2074	147	10	the	the	DET
ap-2074	147	11	quickly	quickly	ADV
ap-2074	147	12	convergent	convergent	ADJ
ap-2074	147	13	energies	energy	NOUN
ap-2074	147	14	as	as	ADV
ap-2074	147	15	well	well	ADV
ap-2074	147	16	as	as	ADP
ap-2074	147	17	the	the	DET
ap-2074	147	18	hamiltonian	hamiltonian	ADJ
ap-2074	147	19	-	-	PUNCT
ap-2074	147	20	dependent	dependent	ADJ
ap-2074	147	21	values	value	NOUN
ap-2074	147	22	of	of	ADP
ap-2074	147	23	parameters	parameter	NOUN
ap-2074	147	24	{	{	PUNCT
ap-2074	147	25	s	s	NOUN
ap-2074	147	26	,	,	PUNCT
ap-2074	147	27	s̃	s̃	PROPN
ap-2074	147	28	}	}	PUNCT
ap-2074	147	29	or	or	CCONJ
ap-2074	147	30	,	,	PUNCT
ap-2074	147	31	in	in	ADP
ap-2074	147	32	various	various	ADJ
ap-2074	147	33	approximate	approximate	ADJ
ap-2074	147	34	schemes	scheme	NOUN
ap-2074	147	35	,	,	PUNCT
ap-2074	147	36	of	of	ADP
ap-2074	147	37	the	the	DET
ap-2074	147	38	respective	respective	ADJ
ap-2074	147	39	truncated	truncated	ADJ
ap-2074	147	40	subsets	subset	NOUN
ap-2074	147	41	of	of	ADP
ap-2074	147	42	these	these	DET
ap-2074	147	43	values	value	NOUN
ap-2074	147	44	.	.	PUNCT
ap-2074	148	1	within	within	ADP
ap-2074	148	2	the	the	DET
ap-2074	148	3	general	general	ADJ
ap-2074	148	4	framework	framework	NOUN
ap-2074	148	5	of	of	ADP
ap-2074	148	6	the	the	DET
ap-2074	148	7	ccm	ccm	NOUN
ap-2074	148	8	treatment	treatment	NOUN
ap-2074	148	9	of	of	ADP
ap-2074	148	10	many	many	ADJ
ap-2074	148	11	-	-	PUNCT
ap-2074	148	12	body	body	NOUN
ap-2074	148	13	quantum	quantum	NOUN
ap-2074	148	14	systems	system	NOUN
ap-2074	148	15	some	some	PRON
ap-2074	148	16	of	of	ADP
ap-2074	148	17	the	the	DET
ap-2074	148	18	above	above	ADV
ap-2074	148	19	-	-	PUNCT
ap-2074	148	20	mentioned	mention	VERB
ap-2074	148	21	assumptions	assumption	NOUN
ap-2074	148	22	and	and	CCONJ
ap-2074	148	23	restrictions	restriction	NOUN
ap-2074	148	24	may	may	AUX
ap-2074	148	25	be	be	AUX
ap-2074	148	26	removed	remove	VERB
ap-2074	148	27	.	.	PUNCT
ap-2074	149	1	the	the	DET
ap-2074	149	2	method	method	NOUN
ap-2074	149	3	may	may	AUX
ap-2074	149	4	certainly	certainly	ADV
ap-2074	149	5	be	be	AUX
ap-2074	149	6	extended	extend	VERB
ap-2074	149	7	,	,	PUNCT
ap-2074	149	8	say	say	INTJ
ap-2074	149	9	,	,	PUNCT
ap-2074	149	10	to	to	PART
ap-2074	149	11	cover	cover	VERB
ap-2074	149	12	also	also	ADV
ap-2074	149	13	excited	excited	ADJ
ap-2074	149	14	states	state	NOUN
ap-2074	149	15	and/or	and/or	CCONJ
ap-2074	149	16	certain	certain	ADJ
ap-2074	149	17	timedependent	timedependent	NOUN
ap-2074	149	18	versions	version	NOUN
ap-2074	149	19	of	of	ADP
ap-2074	149	20	dynamics	dynamic	NOUN
ap-2074	149	21	.	.	PUNCT
ap-2074	150	1	in	in	ADP
ap-2074	150	2	both	both	PRON
ap-2074	150	3	of	of	ADP
ap-2074	150	4	these	these	DET
ap-2074	150	5	directions	direction	NOUN
ap-2074	150	6	,	,	PUNCT
ap-2074	150	7	an	an	DET
ap-2074	150	8	implementation	implementation	NOUN
ap-2074	150	9	of	of	ADP
ap-2074	150	10	ideas	idea	NOUN
ap-2074	150	11	from	from	ADP
ap-2074	150	12	ths	th	NOUN
ap-2074	150	13	context	context	NOUN
ap-2074	150	14	might	might	AUX
ap-2074	150	15	prove	prove	VERB
ap-2074	150	16	particularly	particularly	ADV
ap-2074	150	17	helpful	helpful	ADJ
ap-2074	150	18	.	.	PUNCT
ap-2074	151	1	3.2	3.2	NUM
ap-2074	151	2	.	.	PUNCT
ap-2074	152	1	ccm	ccm	NOUN
ap-2074	152	2	–	–	PUNCT
ap-2074	152	3	ths	th	NOUN
ap-2074	152	4	correspondence	correspondence	NOUN
ap-2074	152	5	the	the	DET
ap-2074	152	6	close	close	ADJ
ap-2074	152	7	mathematical	mathematical	ADJ
ap-2074	152	8	relationship	relationship	NOUN
ap-2074	152	9	between	between	ADP
ap-2074	152	10	the	the	DET
ap-2074	152	11	various	various	ADJ
ap-2074	152	12	variational	variational	ADJ
ap-2074	152	13	ccm	ccm	NOUN
ap-2074	152	14	recipes	recipe	NOUN
ap-2074	152	15	and	and	CCONJ
ap-2074	152	16	the	the	DET
ap-2074	152	17	universal	universal	ADJ
ap-2074	152	18	threehilbert	threehilbert	NOUN
ap-2074	152	19	-	-	PUNCT
ap-2074	152	20	space	space	NOUN
ap-2074	152	21	(	(	PUNCT
ap-2074	152	22	ths	th	NOUN
ap-2074	152	23	)	)	PUNCT
ap-2074	152	24	representation	representation	NOUN
ap-2074	152	25	of	of	ADP
ap-2074	152	26	a	a	DET
ap-2074	152	27	generic	generic	ADJ
ap-2074	152	28	quantum	quantum	NOUN
ap-2074	152	29	system	system	NOUN
ap-2074	152	30	has	have	AUX
ap-2074	152	31	been	be	AUX
ap-2074	152	32	largely	largely	ADV
ap-2074	152	33	overlooked	overlook	VERB
ap-2074	152	34	till	till	SCONJ
ap-2074	152	35	now	now	ADV
ap-2074	152	36	.	.	PUNCT
ap-2074	153	1	apart	apart	ADV
ap-2074	153	2	from	from	ADP
ap-2074	153	3	a	a	DET
ap-2074	153	4	few	few	ADJ
ap-2074	153	5	rather	rather	ADV
ap-2074	153	6	inessential	inessential	ADJ
ap-2074	153	7	differences	difference	NOUN
ap-2074	153	8	,	,	PUNCT
ap-2074	153	9	one	one	NUM
ap-2074	153	10	of	of	ADP
ap-2074	153	11	the	the	DET
ap-2074	153	12	key	key	ADJ
ap-2074	153	13	obstacles	obstacle	NOUN
ap-2074	153	14	may	may	AUX
ap-2074	153	15	be	be	AUX
ap-2074	153	16	seen	see	VERB
ap-2074	153	17	in	in	ADP
ap-2074	153	18	the	the	DET
ap-2074	153	19	differences	difference	NOUN
ap-2074	153	20	in	in	ADP
ap-2074	153	21	their	their	PRON
ap-2074	153	22	notations	notation	NOUN
ap-2074	153	23	,	,	PUNCT
ap-2074	153	24	a	a	DET
ap-2074	153	25	first	first	ADJ
ap-2074	153	26	sample	sample	NOUN
ap-2074	153	27	of	of	ADP
ap-2074	153	28	which	which	PRON
ap-2074	153	29	is	be	AUX
ap-2074	153	30	displayed	display	VERB
ap-2074	153	31	in	in	ADP
ap-2074	153	32	table	table	NOUN
ap-2074	153	33	1	1	NUM
ap-2074	153	34	,	,	PUNCT
ap-2074	153	35	where	where	SCONJ
ap-2074	153	36	we	we	PRON
ap-2074	153	37	see	see	VERB
ap-2074	153	38	that	that	PRON
ap-2074	153	39	for	for	ADP
ap-2074	153	40	hamiltonians	hamiltonian	NOUN
ap-2074	153	41	,	,	PUNCT
ap-2074	153	42	the	the	DET
ap-2074	153	43	ccm	ccm	NOUN
ap-2074	153	44	and	and	CCONJ
ap-2074	153	45	ths	th	NOUN
ap-2074	153	46	notation	notation	NOUN
ap-2074	153	47	conventions	convention	NOUN
ap-2074	153	48	are	be	AUX
ap-2074	153	49	strictly	strictly	ADV
ap-2074	153	50	opposite	opposite	ADJ
ap-2074	153	51	(	(	PUNCT
ap-2074	153	52	so	so	ADV
ap-2074	153	53	we	we	PRON
ap-2074	153	54	have	have	AUX
ap-2074	153	55	to	to	PART
ap-2074	153	56	re	re	VERB
ap-2074	153	57	-	-	VERB
ap-2074	153	58	emphasize	emphasize	VERB
ap-2074	153	59	that	that	SCONJ
ap-2074	153	60	in	in	ADP
ap-2074	153	61	our	our	PRON
ap-2074	153	62	present	present	ADJ
ap-2074	153	63	paper	paper	NOUN
ap-2074	153	64	we	we	PRON
ap-2074	153	65	are	be	AUX
ap-2074	153	66	using	use	VERB
ap-2074	153	67	the	the	DET
ap-2074	153	68	first	first	ADJ
ap-2074	153	69	-	-	PUNCT
ap-2074	153	70	column	column	NOUN
ap-2074	153	71	notation	notation	NOUN
ap-2074	153	72	conventions	convention	NOUN
ap-2074	153	73	)	)	PUNCT
ap-2074	153	74	.	.	PUNCT
ap-2074	154	1	with	with	ADP
ap-2074	154	2	due	due	ADJ
ap-2074	154	3	care	care	NOUN
ap-2074	154	4	paid	pay	VERB
ap-2074	154	5	to	to	ADP
ap-2074	154	6	the	the	DET
ap-2074	154	7	hermiticity	hermiticity	NOUN
ap-2074	154	8	or	or	CCONJ
ap-2074	154	9	nonhermiticity	nonhermiticity	NOUN
ap-2074	154	10	of	of	ADP
ap-2074	154	11	the	the	DET
ap-2074	154	12	hamiltonian	hamiltonian	NOUN
ap-2074	154	13	,	,	PUNCT
ap-2074	154	14	it	it	PRON
ap-2074	154	15	seems	seem	VERB
ap-2074	154	16	equally	equally	ADV
ap-2074	154	17	important	important	ADJ
ap-2074	154	18	to	to	PART
ap-2074	154	19	spot	spot	VERB
ap-2074	154	20	the	the	DET
ap-2074	154	21	ccm	ccm	NOUN
ap-2074	154	22	ths	th	NOUN
ap-2074	154	23	coincidences	coincidence	NOUN
ap-2074	154	24	and/or	and/or	CCONJ
ap-2074	154	25	differences	difference	NOUN
ap-2074	154	26	in	in	ADP
ap-2074	154	27	the	the	DET
ap-2074	154	28	definitions	definition	NOUN
ap-2074	154	29	and	and	CCONJ
ap-2074	154	30	meanings	meaning	NOUN
ap-2074	154	31	of	of	ADP
ap-2074	154	32	the	the	DET
ap-2074	154	33	other	other	ADJ
ap-2074	154	34	concepts	concept	NOUN
ap-2074	154	35	.	.	PUNCT
ap-2074	155	1	for	for	ADP
ap-2074	155	2	the	the	DET
ap-2074	155	3	ground	ground	NOUN
ap-2074	155	4	-	-	PUNCT
ap-2074	155	5	state	state	NOUN
ap-2074	155	6	wave	wave	NOUN
ap-2074	155	7	functions	function	NOUN
ap-2074	155	8	,	,	PUNCT
ap-2074	155	9	in	in	ADP
ap-2074	155	10	particular	particular	ADJ
ap-2074	155	11	,	,	PUNCT
ap-2074	155	12	the	the	DET
ap-2074	155	13	parallels	parallel	NOUN
ap-2074	155	14	in	in	ADP
ap-2074	155	15	the	the	DET
ap-2074	155	16	denotation	denotation	NOUN
ap-2074	155	17	of	of	ADP
ap-2074	155	18	the	the	DET
ap-2074	155	19	same	same	ADJ
ap-2074	155	20	feature	feature	NOUN
ap-2074	155	21	or	or	CCONJ
ap-2074	155	22	quantity	quantity	NOUN
ap-2074	155	23	are	be	AUX
ap-2074	155	24	displayed	display	VERB
ap-2074	155	25	in	in	ADP
ap-2074	155	26	table	table	NOUN
ap-2074	155	27	2	2	NUM
ap-2074	155	28	.	.	PUNCT
ap-2074	156	1	an	an	DET
ap-2074	156	2	inspection	inspection	NOUN
ap-2074	156	3	of	of	ADP
ap-2074	156	4	table	table	NOUN
ap-2074	156	5	2	2	NUM
ap-2074	156	6	reveals	reveal	VERB
ap-2074	156	7	that	that	SCONJ
ap-2074	156	8	in	in	ADP
ap-2074	156	9	their	their	PRON
ap-2074	156	10	respective	respective	ADJ
ap-2074	156	11	current	current	ADJ
ap-2074	156	12	versions	version	NOUN
ap-2074	156	13	,	,	PUNCT
ap-2074	156	14	the	the	DET
ap-2074	156	15	two	two	NUM
ap-2074	156	16	formalisms	formalism	NOUN
ap-2074	156	17	are	be	AUX
ap-2074	156	18	far	far	ADV
ap-2074	156	19	from	from	ADP
ap-2074	156	20	equivalent	equivalent	ADJ
ap-2074	156	21	,	,	PUNCT
ap-2074	156	22	indeed	indeed	ADV
ap-2074	156	23	.	.	PUNCT
ap-2074	157	1	at	at	ADP
ap-2074	157	2	the	the	DET
ap-2074	157	3	same	same	ADJ
ap-2074	157	4	time	time	NOUN
ap-2074	157	5	,	,	PUNCT
ap-2074	157	6	they	they	PRON
ap-2074	157	7	may	may	AUX
ap-2074	157	8	be	be	AUX
ap-2074	157	9	both	both	PRON
ap-2074	157	10	found	find	VERB
ap-2074	157	11	to	to	PART
ap-2074	157	12	suffer	suffer	VERB
ap-2074	157	13	of	of	ADP
ap-2074	157	14	certain	certain	ADJ
ap-2074	157	15	specific	specific	ADJ
ap-2074	157	16	weak	weak	ADJ
ap-2074	157	17	points	point	NOUN
ap-2074	157	18	.	.	PUNCT
ap-2074	158	1	in	in	ADP
ap-2074	158	2	fact	fact	NOUN
ap-2074	158	3	,	,	PUNCT
ap-2074	158	4	our	our	PRON
ap-2074	158	5	present	present	ADJ
ap-2074	158	6	considerations	consideration	NOUN
ap-2074	158	7	were	be	AUX
ap-2074	158	8	originally	originally	ADV
ap-2074	158	9	motivated	motivate	VERB
ap-2074	158	10	precisely	precisely	ADV
ap-2074	158	11	by	by	ADP
ap-2074	158	12	a	a	DET
ap-2074	158	13	parallel	parallel	ADJ
ap-2074	158	14	analysis	analysis	NOUN
ap-2074	158	15	of	of	ADP
ap-2074	158	16	these	these	DET
ap-2074	158	17	respective	respective	ADJ
ap-2074	158	18	weaknesses	weakness	NOUN
ap-2074	158	19	.	.	PUNCT
ap-2074	159	1	after	after	ADP
ap-2074	159	2	their	their	PRON
ap-2074	159	3	deeper	deep	ADJ
ap-2074	159	4	study	study	NOUN
ap-2074	159	5	we	we	PRON
ap-2074	159	6	came	come	VERB
ap-2074	159	7	to	to	ADP
ap-2074	159	8	the	the	DET
ap-2074	159	9	conclusion	conclusion	NOUN
ap-2074	159	10	(	(	PUNCT
ap-2074	159	11	documented	document	VERB
ap-2074	159	12	and	and	CCONJ
ap-2074	159	13	emphasized	emphasize	VERB
ap-2074	159	14	also	also	ADV
ap-2074	159	15	by	by	ADP
ap-2074	159	16	the	the	DET
ap-2074	159	17	above	above	ADJ
ap-2074	159	18	two	two	NUM
ap-2074	159	19	respective	respective	ADJ
ap-2074	159	20	compact	compact	ADJ
ap-2074	159	21	reviews	review	NOUN
ap-2074	159	22	)	)	PUNCT
ap-2074	159	23	that	that	SCONJ
ap-2074	159	24	a	a	DET
ap-2074	159	25	perceivable	perceivable	ADJ
ap-2074	159	26	profit	profit	NOUN
ap-2074	159	27	might	might	AUX
ap-2074	159	28	be	be	AUX
ap-2074	159	29	gained	gain	VERB
ap-2074	159	30	by	by	ADP
ap-2074	159	31	modifying	modify	VERB
ap-2074	159	32	and	and	CCONJ
ap-2074	159	33	getting	get	VERB
ap-2074	159	34	those	those	DET
ap-2074	159	35	two	two	NUM
ap-2074	159	36	formalisms	formalism	NOUN
ap-2074	159	37	and/or	and/or	CCONJ
ap-2074	159	38	methods	method	NOUN
ap-2074	159	39	of	of	ADP
ap-2074	159	40	calculation	calculation	NOUN
ap-2074	159	41	closer	close	ADV
ap-2074	159	42	to	to	ADP
ap-2074	159	43	each	each	DET
ap-2074	159	44	other	other	ADJ
ap-2074	159	45	.	.	PUNCT
ap-2074	160	1	on	on	ADP
ap-2074	160	2	the	the	DET
ap-2074	160	3	side	side	NOUN
ap-2074	160	4	of	of	ADP
ap-2074	160	5	the	the	DET
ap-2074	160	6	ccm	ccm	NOUN
ap-2074	160	7	formalism	formalism	NOUN
ap-2074	160	8	,	,	PUNCT
ap-2074	160	9	for	for	ADP
ap-2074	160	10	example	example	NOUN
ap-2074	160	11	,	,	PUNCT
ap-2074	160	12	one	one	PRON
ap-2074	160	13	may	may	AUX
ap-2074	160	14	immediately	immediately	ADV
ap-2074	160	15	notice	notice	VERB
ap-2074	160	16	an	an	DET
ap-2074	160	17	obvious	obvious	ADJ
ap-2074	160	18	contrast	contrast	NOUN
ap-2074	160	19	between	between	ADP
ap-2074	160	20	the	the	DET
ap-2074	160	21	exponential	exponential	ADJ
ap-2074	160	22	ccm	ccm	NOUN
ap-2074	160	23	form	form	NOUN
ap-2074	160	24	of	of	ADP
ap-2074	160	25	the	the	DET
ap-2074	160	26	mapping	mapping	NOUN
ap-2074	160	27	ω(ccm	ω(ccm	NOUN
ap-2074	160	28	)	)	PUNCT
ap-2074	160	29	=	=	SYM
ap-2074	160	30	exps(ccm	exps(ccm	NOUN
ap-2074	160	31	)	)	PUNCT
ap-2074	160	32	and	and	CCONJ
ap-2074	160	33	the	the	DET
ap-2074	160	34	manifestly	manifestly	ADV
ap-2074	160	35	nonexponential	nonexponential	ADJ
ap-2074	160	36	,	,	PUNCT
ap-2074	160	37	polynomial	polynomial	ADJ
ap-2074	160	38	form	form	NOUN
ap-2074	160	39	of	of	ADP
ap-2074	160	40	the	the	DET
ap-2074	160	41	tilded	tilde	VERB
ap-2074	160	42	operator	operator	NOUN
ap-2074	160	43	s̃	s̃	PROPN
ap-2074	160	44	entering	enter	VERB
ap-2074	160	45	the	the	DET
ap-2074	160	46	second	second	ADJ
ap-2074	160	47	ccm	ccm	NOUN
ap-2074	160	48	ansatz	ansatz	ADJ
ap-2074	160	49	(	(	PUNCT
ap-2074	160	50	9	9	NUM
ap-2074	160	51	)	)	PUNCT
ap-2074	160	52	.	.	PUNCT
ap-2074	161	1	naturally	naturally	ADV
ap-2074	161	2	,	,	PUNCT
ap-2074	161	3	such	such	DET
ap-2074	161	4	a	a	DET
ap-2074	161	5	striking	striking	ADJ
ap-2074	161	6	difference	difference	NOUN
ap-2074	161	7	did	do	AUX
ap-2074	161	8	not	not	PART
ap-2074	161	9	stay	stay	VERB
ap-2074	161	10	unnoticed	unnoticed	ADJ
ap-2074	161	11	in	in	ADP
ap-2074	161	12	the	the	DET
ap-2074	161	13	related	relate	VERB
ap-2074	161	14	literature	literature	NOUN
ap-2074	161	15	,	,	PUNCT
ap-2074	161	16	and	and	CCONJ
ap-2074	161	17	the	the	DET
ap-2074	161	18	idea	idea	NOUN
ap-2074	161	19	has	have	AUX
ap-2074	161	20	been	be	AUX
ap-2074	161	21	implemented	implement	VERB
ap-2074	161	22	into	into	ADP
ap-2074	161	23	the	the	DET
ap-2074	161	24	so	so	ADV
ap-2074	161	25	called	call	VERB
ap-2074	161	26	extended	extended	ADJ
ap-2074	161	27	version	version	NOUN
ap-2074	161	28	of	of	ADP
ap-2074	161	29	the	the	DET
ap-2074	161	30	ccm	ccm	NOUN
ap-2074	161	31	(	(	PUNCT
ap-2074	161	32	eccm	eccm	NOUN
ap-2074	161	33	)	)	PUNCT
ap-2074	161	34	formalism	formalism	NOUN
ap-2074	161	35	[	[	X
ap-2074	161	36	1	1	NUM
ap-2074	161	37	,	,	PUNCT
ap-2074	161	38	2	2	NUM
ap-2074	161	39	]	]	PUNCT
ap-2074	161	40	.	.	PUNCT
ap-2074	162	1	on	on	ADP
ap-2074	162	2	the	the	DET
ap-2074	162	3	side	side	NOUN
ap-2074	162	4	of	of	ADP
ap-2074	162	5	the	the	DET
ap-2074	162	6	general	general	ADJ
ap-2074	162	7	ths	th	NOUN
ap-2074	162	8	formalism	formalism	NOUN
ap-2074	162	9	,	,	PUNCT
ap-2074	162	10	in	in	ADP
ap-2074	162	11	parallel	parallel	NOUN
ap-2074	162	12	,	,	PUNCT
ap-2074	162	13	we	we	PRON
ap-2074	162	14	may	may	AUX
ap-2074	162	15	now	now	ADV
ap-2074	162	16	recollect	recollect	VERB
ap-2074	162	17	one	one	NUM
ap-2074	162	18	of	of	ADP
ap-2074	162	19	the	the	DET
ap-2074	162	20	very	very	ADV
ap-2074	162	21	popular	popular	ADJ
ap-2074	162	22	formalism	formalism	NOUN
ap-2074	162	23	-	-	PUNCT
ap-2074	162	24	simplifying	simplify	VERB
ap-2074	162	25	tricks	trick	NOUN
ap-2074	162	26	by	by	ADP
ap-2074	162	27	which	which	PRON
ap-2074	162	28	one	one	NUM
ap-2074	162	29	works	work	VERB
ap-2074	162	30	just	just	ADV
ap-2074	162	31	with	with	ADP
ap-2074	162	32	the	the	DET
ap-2074	162	33	special	special	ADJ
ap-2074	162	34	hermitian	hermitian	ADJ
ap-2074	162	35	mappings	mapping	NOUN
ap-2074	162	36	ωs	ωs	DET
ap-2074	162	37	=	=	SYM
ap-2074	162	38	ω†s	ω†s	NUM
ap-2074	162	39	=	=	SYM
ap-2074	162	40	expss	expss	NOUN
ap-2074	163	1	[	[	X
ap-2074	163	2	11	11	NUM
ap-2074	163	3	,	,	PUNCT
ap-2074	163	4	12	12	NUM
ap-2074	163	5	]	]	PUNCT
ap-2074	163	6	.	.	PUNCT
ap-2074	164	1	under	under	ADP
ap-2074	164	2	this	this	DET
ap-2074	164	3	additional	additional	ADJ
ap-2074	164	4	assumption	assumption	NOUN
ap-2074	164	5	one	one	NOUN
ap-2074	164	6	arrives	arrive	VERB
ap-2074	164	7	at	at	ADP
ap-2074	164	8	a	a	DET
ap-2074	164	9	fairly	fairly	ADV
ap-2074	164	10	natural	natural	ADJ
ap-2074	164	11	exponential	exponential	ADJ
ap-2074	164	12	form	form	NOUN
ap-2074	164	13	of	of	ADP
ap-2074	164	14	the	the	DET
ap-2074	164	15	equally	equally	ADV
ap-2074	164	16	special	special	ADJ
ap-2074	164	17	but	but	CCONJ
ap-2074	164	18	still	still	ADV
ap-2074	164	19	sufficiently	sufficiently	ADV
ap-2074	164	20	general	general	ADJ
ap-2074	164	21	subset	subset	NOUN
ap-2074	164	22	of	of	ADP
ap-2074	164	23	the	the	DET
ap-2074	164	24	positive	positive	ADJ
ap-2074	164	25	-	-	PUNCT
ap-2074	164	26	definite	definite	ADJ
ap-2074	164	27	metrics	metric	NOUN
ap-2074	164	28	,	,	PUNCT
ap-2074	164	29	θs	θs	X
ap-2074	164	30	=	=	SYM
ap-2074	164	31	exp	exp	NOUN
ap-2074	164	32	2ss	2ss	NOUN
ap-2074	164	33	.	.	PUNCT
ap-2074	165	1	in	in	ADP
ap-2074	165	2	this	this	DET
ap-2074	165	3	manner	manner	NOUN
ap-2074	165	4	,	,	PUNCT
ap-2074	165	5	after	after	ADP
ap-2074	165	6	the	the	DET
ap-2074	165	7	respective	respective	ADJ
ap-2074	165	8	replacements	replacement	NOUN
ap-2074	165	9	s̃	s̃	PROPN
ap-2074	165	10	→	→	SYM
ap-2074	165	11	s̃(eccm	s̃(eccm	PROPN
ap-2074	165	12	)	)	PUNCT
ap-2074	165	13	and	and	CCONJ
ap-2074	165	14	θ	θ	PROPN
ap-2074	165	15	→	→	SYM
ap-2074	165	16	θs	θs	X
ap-2074	165	17	=	=	SYM
ap-2074	165	18	exp	exp	NOUN
ap-2074	165	19	2ss	2ss	NOUN
ap-2074	165	20	,	,	PUNCT
ap-2074	165	21	the	the	DET
ap-2074	165	22	initially	initially	ADV
ap-2074	165	23	very	very	ADV
ap-2074	165	24	different	different	ADJ
ap-2074	165	25	forms	form	NOUN
ap-2074	165	26	of	of	ADP
ap-2074	165	27	the	the	DET
ap-2074	165	28	operators	operator	NOUN
ap-2074	165	29	get	get	VERB
ap-2074	165	30	closer	close	ADJ
ap-2074	165	31	.	.	PUNCT
ap-2074	166	1	once	once	SCONJ
ap-2074	166	2	one	one	PRON
ap-2074	166	3	stops	stop	VERB
ap-2074	166	4	feeling	feel	VERB
ap-2074	166	5	discouraged	discourage	VERB
ap-2074	166	6	by	by	ADP
ap-2074	166	7	the	the	DET
ap-2074	166	8	similar	similar	ADJ
ap-2074	166	9	,	,	PUNCT
ap-2074	166	10	more	more	ADJ
ap-2074	166	11	or	or	CCONJ
ap-2074	166	12	less	less	ADV
ap-2074	166	13	purely	purely	ADV
ap-2074	166	14	formal	formal	ADJ
ap-2074	166	15	differences	difference	NOUN
ap-2074	166	16	,	,	PUNCT
ap-2074	166	17	one	one	PRON
ap-2074	166	18	has	have	VERB
ap-2074	166	19	to	to	PART
ap-2074	166	20	reopen	reopen	VERB
ap-2074	166	21	also	also	ADV
ap-2074	166	22	the	the	DET
ap-2074	166	23	question	question	NOUN
ap-2074	166	24	of	of	ADP
ap-2074	166	25	the	the	DET
ap-2074	166	26	respective	respective	ADJ
ap-2074	166	27	roles	role	NOUN
ap-2074	166	28	of	of	ADP
ap-2074	166	29	the	the	DET
ap-2074	166	30	operators	operator	NOUN
ap-2074	166	31	s̃	s̃	PROPN
ap-2074	166	32	and	and	CCONJ
ap-2074	166	33	θ	θ	PROPN
ap-2074	166	34	in	in	ADP
ap-2074	166	35	the	the	DET
ap-2074	166	36	purely	purely	ADV
ap-2074	166	37	numerical	numerical	ADJ
ap-2074	166	38	context	context	NOUN
ap-2074	166	39	.	.	PUNCT
ap-2074	167	1	this	this	PRON
ap-2074	167	2	is	be	AUX
ap-2074	167	3	another	another	DET
ap-2074	167	4	type	type	NOUN
ap-2074	167	5	of	of	ADP
ap-2074	167	6	difference	difference	NOUN
ap-2074	167	7	which	which	PRON
ap-2074	167	8	is	be	AUX
ap-2074	167	9	,	,	PUNCT
ap-2074	167	10	naturally	naturally	ADV
ap-2074	167	11	,	,	PUNCT
ap-2074	167	12	strongly	strongly	ADV
ap-2074	167	13	dependent	dependent	ADJ
ap-2074	167	14	on	on	ADP
ap-2074	167	15	the	the	DET
ap-2074	167	16	purpose	purpose	NOUN
ap-2074	167	17	of	of	ADP
ap-2074	167	18	the	the	DET
ap-2074	167	19	calculation	calculation	NOUN
ap-2074	167	20	.	.	PUNCT
ap-2074	168	1	traditionally	traditionally	ADV
ap-2074	168	2	,	,	PUNCT
ap-2074	168	3	the	the	DET
ap-2074	168	4	ccm	ccm	NOUN
ap-2074	168	5	and	and	CCONJ
ap-2074	168	6	ths	th	NOUN
ap-2074	168	7	calculation	calculation	NOUN
ap-2074	168	8	purposes	purpose	NOUN
ap-2074	168	9	are	be	AUX
ap-2074	168	10	truly	truly	ADV
ap-2074	168	11	rather	rather	ADV
ap-2074	168	12	different	different	ADJ
ap-2074	168	13	.	.	PUNCT
ap-2074	169	1	nevertheless	nevertheless	ADV
ap-2074	169	2	,	,	PUNCT
ap-2074	169	3	on	on	ADP
ap-2074	169	4	the	the	DET
ap-2074	169	5	ccm	ccm	NOUN
ap-2074	169	6	side	side	NOUN
ap-2074	169	7	one	one	NUM
ap-2074	169	8	immediately	immediately	ADV
ap-2074	169	9	notices	notice	VERB
ap-2074	169	10	that	that	SCONJ
ap-2074	169	11	the	the	DET
ap-2074	169	12	predominance	predominance	NOUN
ap-2074	169	13	of	of	ADP
ap-2074	169	14	calculations	calculation	NOUN
ap-2074	169	15	of	of	ADP
ap-2074	169	16	the	the	DET
ap-2074	169	17	ground	ground	NOUN
ap-2074	169	18	-	-	PUNCT
ap-2074	169	19	state	state	NOUN
ap-2074	169	20	characterstics	characterstic	NOUN
ap-2074	169	21	does	do	AUX
ap-2074	169	22	not	not	PART
ap-2074	169	23	exclude	exclude	VERB
ap-2074	169	24	extensions	extension	NOUN
ap-2074	169	25	,	,	PUNCT
ap-2074	169	26	say	say	VERB
ap-2074	169	27	,	,	PUNCT
ap-2074	169	28	to	to	ADP
ap-2074	169	29	the	the	DET
ap-2074	169	30	excited	excited	ADJ
ap-2074	169	31	-	-	PUNCT
ap-2074	169	32	state	state	NOUN
ap-2074	169	33	problem	problem	NOUN
ap-2074	169	34	[	[	X
ap-2074	169	35	18	18	NUM
ap-2074	169	36	]	]	PUNCT
ap-2074	169	37	or	or	CCONJ
ap-2074	169	38	even	even	ADV
ap-2074	169	39	to	to	ADP
ap-2074	169	40	the	the	DET
ap-2074	169	41	description	description	NOUN
ap-2074	169	42	of	of	ADP
ap-2074	169	43	systems	system	NOUN
ap-2074	169	44	which	which	PRON
ap-2074	169	45	are	be	AUX
ap-2074	169	46	allowed	allow	VERB
ap-2074	169	47	to	to	PART
ap-2074	169	48	exhibit	exhibit	VERB
ap-2074	169	49	a	a	DET
ap-2074	169	50	manifest	manif	ADJ
ap-2074	169	51	time	time	NOUN
ap-2074	169	52	-	-	PUNCT
ap-2074	169	53	dependence	dependence	NOUN
ap-2074	169	54	of	of	ADP
ap-2074	169	55	their	their	PRON
ap-2074	169	56	dynamics	dynamic	NOUN
ap-2074	169	57	[	[	X
ap-2074	169	58	19	19	NUM
ap-2074	169	59	]	]	PUNCT
ap-2074	169	60	.	.	PUNCT
ap-2074	170	1	in	in	ADP
ap-2074	170	2	this	this	DET
ap-2074	170	3	sense	sense	NOUN
ap-2074	170	4	we	we	PRON
ap-2074	170	5	are	be	AUX
ap-2074	170	6	getting	get	VERB
ap-2074	170	7	still	still	ADV
ap-2074	170	8	closer	close	ADJ
ap-2074	170	9	to	to	ADP
ap-2074	170	10	the	the	DET
ap-2074	170	11	respective	respective	ADJ
ap-2074	170	12	time	time	NOUN
ap-2074	170	13	-	-	PUNCT
ap-2074	170	14	independent	independent	ADJ
ap-2074	170	15	and	and	CCONJ
ap-2074	170	16	time	time	NOUN
ap-2074	170	17	-	-	PUNCT
ap-2074	170	18	dependent	dependent	ADJ
ap-2074	170	19	non	non	ADJ
ap-2074	170	20	-	-	ADJ
ap-2074	170	21	hermitian	hermitian	ADJ
ap-2074	170	22	versions	version	NOUN
ap-2074	170	23	of	of	ADP
ap-2074	170	24	the	the	DET
ap-2074	170	25	general	general	ADJ
ap-2074	170	26	and	and	CCONJ
ap-2074	170	27	universal	universal	ADJ
ap-2074	170	28	ths	th	NOUN
ap-2074	170	29	formulation	formulation	NOUN
ap-2074	170	30	of	of	ADP
ap-2074	170	31	abstract	abstract	ADJ
ap-2074	170	32	quantum	quantum	ADJ
ap-2074	170	33	mechanics	mechanic	NOUN
ap-2074	170	34	as	as	SCONJ
ap-2074	170	35	summarized	summarize	VERB
ap-2074	170	36	,	,	PUNCT
ap-2074	170	37	say	say	INTJ
ap-2074	170	38	,	,	PUNCT
ap-2074	170	39	in	in	ADP
ap-2074	170	40	refs	ref	NOUN
ap-2074	170	41	.	.	PUNCT
ap-2074	171	1	[	[	X
ap-2074	171	2	4	4	X
ap-2074	171	3	]	]	PUNCT
ap-2074	171	4	and	and	CCONJ
ap-2074	171	5	[	[	X
ap-2074	171	6	5	5	NUM
ap-2074	171	7	]	]	PUNCT
ap-2074	171	8	.	.	PUNCT
ap-2074	172	1	89	89	NUM
ap-2074	172	2	raymond	raymond	PROPN
ap-2074	172	3	f.	f.	PROPN
ap-2074	172	4	bishop	bishop	PROPN
ap-2074	172	5	,	,	PUNCT
ap-2074	172	6	miloslav	miloslav	NOUN
ap-2074	172	7	znojil	znojil	PROPN
ap-2074	172	8	acta	acta	PROPN
ap-2074	172	9	polytechnica	polytechnica	PROPN
ap-2074	172	10	ground	ground	NOUN
ap-2074	172	11	state	state	NOUN
ap-2074	172	12	ccm	ccm	NOUN
ap-2074	172	13	[	[	X
ap-2074	172	14	3	3	NUM
ap-2074	172	15	]	]	PUNCT
ap-2074	172	16	ths	th	NOUN
ap-2074	172	17	[	[	X
ap-2074	172	18	5	5	NUM
ap-2074	172	19	]	]	X
ap-2074	172	20	purpose	purpose	NOUN
ap-2074	172	21	bi	bi	NOUN
ap-2074	172	22	-	-	NOUN
ap-2074	172	23	variationality	variationality	ADJ
ap-2074	172	24	re	re	NOUN
ap-2074	172	25	-	-	NOUN
ap-2074	172	26	hermitization	hermitization	NOUN
ap-2074	172	27	of	of	ADP
ap-2074	172	28	h	h	NOUN
ap-2074	172	29	in	in	ADP
ap-2074	172	30	h(s	h(	NOUN
ap-2074	172	31	)	)	PUNCT
ap-2074	172	32	assumptions	assumption	VERB
ap-2074	172	33	s̃	s̃	NOUN
ap-2074	172	34	=	=	PUNCT
ap-2074	172	35	annihilation	annihilation	NOUN
ap-2074	172	36	θ	θ	PROPN
ap-2074	172	37	=	=	SYM
ap-2074	172	38	ω†ω	ω†ω	PROPN
ap-2074	172	39	,	,	PUNCT
ap-2074	172	40	ω	ω	PROPN
ap-2074	172	41	=	=	SYM
ap-2074	172	42	invertible	invertible	ADJ
ap-2074	172	43	eigen	eigen	PROPN
ap-2074	172	44	-	-	PUNCT
ap-2074	172	45	ket	ket	NOUN
ap-2074	172	46	(	(	PUNCT
ap-2074	172	47	simplified	simplified	ADJ
ap-2074	172	48	)	)	PUNCT
ap-2074	173	1	|φ	|φ	PROPN
ap-2074	174	1	〉	〉	PROPN
ap-2074	174	2	|0	|0	NUM
ap-2074	174	3	〉	〉	PROPN
ap-2074	174	4	∈	∈	PROPN
ap-2074	174	5	h(f	h(f	PROPN
ap-2074	174	6	,	,	PUNCT
ap-2074	174	7	s	s	X
ap-2074	174	8	)	)	PUNCT
ap-2074	174	9	eigen	eigen	NOUN
ap-2074	174	10	-	-	PUNCT
ap-2074	174	11	bra	bra	NOUN
ap-2074	174	12	(	(	PUNCT
ap-2074	174	13	conjugate	conjugate	NOUN
ap-2074	174	14	)	)	PUNCT
ap-2074	174	15	〈	〈	PROPN
ap-2074	174	16	φ|	φ|	PROPN
ap-2074	174	17	〈	〈	PROPN
ap-2074	174	18	0|	0|	NOUN
ap-2074	174	19	∈	∈	PROPN
ap-2074	174	20	h(f	h(f	X
ap-2074	174	21	)	)	PUNCT
ap-2074	175	1	′	′	NUM
ap-2074	175	2	eigen	eigen	NOUN
ap-2074	175	3	-	-	PUNCT
ap-2074	175	4	bra	bra	NOUN
ap-2074	175	5	(	(	PUNCT
ap-2074	175	6	amended	amend	VERB
ap-2074	175	7	)	)	PUNCT
ap-2074	176	1	〈	〈	PROPN
ap-2074	176	2	φ̃|	φ̃|	ADJ
ap-2074	176	3	:	:	PUNCT
ap-2074	176	4	=	=	PUNCT
ap-2074	176	5	〈	〈	PROPN
ap-2074	176	6	φ|s̃	φ|s̃	NOUN
ap-2074	176	7	〈	〈	PROPN
ap-2074	176	8	〈	〈	PROPN
ap-2074	176	9	0|	0|	NOUN
ap-2074	176	10	:	:	PUNCT
ap-2074	176	11	=	=	PUNCT
ap-2074	176	12	〈	〈	PROPN
ap-2074	176	13	0|θ	0|θ	ADJ
ap-2074	176	14	∈	∈	PROPN
ap-2074	176	15	h(s)′	h(s)′	PROPN
ap-2074	176	16	microscopic	microscopic	ADJ
ap-2074	176	17	ground	ground	NOUN
ap-2074	176	18	state	state	NOUN
ap-2074	176	19	|ψ	|ψ	ADP
ap-2074	176	20	〉	〉	PROPN
ap-2074	176	21	|0	|0	NUM
ap-2074	176	22	�	�	PROPN
ap-2074	176	23	=	=	SYM
ap-2074	176	24	ω|0	ω|0	PROPN
ap-2074	176	25	〉	〉	PROPN
ap-2074	176	26	∈	∈	PROPN
ap-2074	176	27	h(p	h(p	PROPN
ap-2074	176	28	)	)	PUNCT
ap-2074	176	29	first	first	ADJ
ap-2074	176	30	variational	variational	ADJ
ap-2074	176	31	ansatz	ansatz	NOUN
ap-2074	176	32	=	=	SYM
ap-2074	176	33	es	es	PRON
ap-2074	176	34	|φ	|φ	PROPN
ap-2074	176	35	〉	〉	PROPN
ap-2074	176	36	left	leave	VERB
ap-2074	176	37	ground	ground	NOUN
ap-2074	176	38	state	state	NOUN
ap-2074	176	39	〈	〈	PROPN
ap-2074	176	40	ψ̃|	ψ̃|	NOUN
ap-2074	176	41	≺0|	≺0|	NOUN
ap-2074	176	42	=	=	SYM
ap-2074	177	1	〈	〈	NOUN
ap-2074	177	2	0|ω†	0|ω†	NOUN
ap-2074	177	3	=	=	PUNCT
ap-2074	178	1	〈	〈	PROPN
ap-2074	178	2	〈	〈	PROPN
ap-2074	178	3	0|ω−1	0|ω−1	NOUN
ap-2074	178	4	∈	∈	PROPN
ap-2074	178	5	h(p	h(p	PROPN
ap-2074	178	6	)	)	PUNCT
ap-2074	178	7	′	′	NUM
ap-2074	178	8	second	second	ADJ
ap-2074	178	9	variational	variational	ADJ
ap-2074	178	10	ansatz	ansatz	ADJ
ap-2074	178	11	=	=	SYM
ap-2074	178	12	〈	〈	PROPN
ap-2074	178	13	φ̃|e−s	φ̃|e−s	PART
ap-2074	178	14	table	table	NOUN
ap-2074	178	15	2	2	NUM
ap-2074	178	16	.	.	PUNCT
ap-2074	178	17	parallel	parallel	ADJ
ap-2074	178	18	notation	notation	NOUN
ap-2074	178	19	conventions	convention	NOUN
ap-2074	178	20	.	.	PUNCT
ap-2074	179	1	initial	initial	ADJ
ap-2074	179	2	,	,	PUNCT
ap-2074	179	3	given	give	VERB
ap-2074	179	4	microscopic	microscopic	ADJ
ap-2074	179	5	hamiltonian	hamiltonian	ADJ
ap-2074	179	6	h	h	NOUN
ap-2074	179	7	=	=	PUNCT
ap-2074	179	8	h†	h†	ADJ
ap-2074	179	9	lives	live	VERB
ap-2074	179	10	in	in	ADP
ap-2074	179	11	primary	primary	ADJ
ap-2074	179	12	space	space	NOUN
ap-2074	179	13	h(p	h(p	PROPN
ap-2074	179	14	)	)	PUNCT
ap-2074	179	15	;	;	PUNCT
ap-2074	179	16	all	all	PRON
ap-2074	179	17	is	be	AUX
ap-2074	179	18	prohibitively	prohibitively	ADV
ap-2074	179	19	complicated	complicated	ADJ
ap-2074	179	20	:	:	PUNCT
ap-2074	179	21	•	•	NUM
ap-2074	179	22	one	one	NUM
ap-2074	179	23	constructs	construct	VERB
ap-2074	179	24	the	the	DET
ap-2074	179	25	ccm	ccm	NOUN
ap-2074	179	26	operator	operator	NOUN
ap-2074	179	27	ω	ω	PROPN
ap-2074	179	28	=	=	SYM
ap-2074	179	29	exp	exp	PROPN
ap-2074	179	30	s	s	PROPN
ap-2074	179	31	ccm	ccm	NOUN
ap-2074	179	32	map	map	NOUN
ap-2074	179	33	ω−1	ω−1	PROPN
ap-2074	179	34	=	=	SYM
ap-2074	179	35	exp	exp	NOUN
ap-2074	179	36	(	(	PUNCT
ap-2074	179	37	−s	−s	NOUN
ap-2074	179	38	)	)	PUNCT
ap-2074	179	39	↙	↙	PROPN
ap-2074	180	1	↘	↘	PROPN
ap-2074	180	2	↖	↖	PROPN
ap-2074	180	3	equivalence	equivalence	NOUN
ap-2074	180	4	friendly	friendly	ADJ
ap-2074	180	5	space	space	NOUN
ap-2074	180	6	h(f	h(f	PROPN
ap-2074	180	7	)	)	PUNCT
ap-2074	180	8	is	be	AUX
ap-2074	180	9	false	false	ADJ
ap-2074	180	10	:	:	PUNCT
ap-2074	180	11	•	•	NUM
ap-2074	180	12	•	•	NOUN
ap-2074	180	13	in	in	ADP
ap-2074	180	14	it	it	PRON
ap-2074	180	15	,	,	PUNCT
ap-2074	180	16	new	new	ADJ
ap-2074	180	17	ĥ	ĥ	X
ap-2074	180	18	:	:	PUNCT
ap-2074	180	19	=	=	PUNCT
ap-2074	180	20	ω−1hω	ω−1hω	ADV
ap-2074	180	21	is	be	AUX
ap-2074	180	22	not	not	PART
ap-2074	180	23	self	self	NOUN
ap-2074	180	24	-	-	PUNCT
ap-2074	180	25	adjoint	adjoint	NOUN
ap-2074	180	26	,	,	PUNCT
ap-2074	180	27	ĥ	ĥ	X
ap-2074	180	28	6=	6=	NUM
ap-2074	181	1	ĥ†	ĥ†	VERB
ap-2074	181	2	hermitization−→	hermitization−→	NOUN
ap-2074	181	3	secondary	secondary	ADJ
ap-2074	181	4	space	space	NOUN
ap-2074	181	5	h(s	h(s	PROPN
ap-2074	181	6	)	)	PUNCT
ap-2074	181	7	is	be	AUX
ap-2074	181	8	standard	standard	ADJ
ap-2074	181	9	:	:	PUNCT
ap-2074	181	10	•	•	NUM
ap-2074	181	11	•	•	NOUN
ap-2074	181	12	•	•	NOUN
ap-2074	181	13	in	in	ADP
ap-2074	181	14	it	it	PRON
ap-2074	181	15	,	,	PUNCT
ap-2074	181	16	the	the	DET
ap-2074	181	17	same	same	ADJ
ap-2074	181	18	ĥ	ĥ	X
ap-2074	181	19	=	=	SYM
ap-2074	181	20	θ−1ĥ†θ	θ−1ĥ†θ	PROPN
ap-2074	181	21	:	:	PUNCT
ap-2074	181	22	=	=	SYM
ap-2074	181	23	ĥ‡	ĥ‡	NOUN
ap-2074	181	24	is	be	AUX
ap-2074	181	25	found	find	VERB
ap-2074	181	26	self	self	NOUN
ap-2074	181	27	-	-	PUNCT
ap-2074	181	28	adjoint	adjoint	NOUN
ap-2074	181	29	and	and	CCONJ
ap-2074	181	30	diagonalizable	diagonalizable	ADJ
ap-2074	181	31	figure	figure	NOUN
ap-2074	181	32	1	1	NUM
ap-2074	181	33	.	.	PUNCT
ap-2074	182	1	the	the	DET
ap-2074	182	2	three	three	NUM
ap-2074	182	3	-	-	PUNCT
ap-2074	182	4	hilbert	hilbert	NOUN
ap-2074	182	5	-	-	PUNCT
ap-2074	182	6	space	space	NOUN
ap-2074	182	7	diagram	diagram	NOUN
ap-2074	182	8	.	.	PUNCT
ap-2074	183	1	4	4	X
ap-2074	183	2	.	.	X
ap-2074	183	3	discussion	discussion	NOUN
ap-2074	183	4	4.1	4.1	NUM
ap-2074	183	5	.	.	PUNCT
ap-2074	184	1	a	a	DET
ap-2074	184	2	ccm	ccm	NOUN
ap-2074	184	3	–	–	PUNCT
ap-2074	184	4	ths	th	NOUN
ap-2074	184	5	fusion	fusion	NOUN
ap-2074	184	6	?	?	PUNCT
ap-2074	185	1	in	in	ADP
ap-2074	185	2	the	the	DET
ap-2074	185	3	language	language	NOUN
ap-2074	185	4	of	of	ADP
ap-2074	185	5	mathematics	mathematic	NOUN
ap-2074	185	6	the	the	DET
ap-2074	185	7	core	core	NOUN
ap-2074	185	8	of	of	ADP
ap-2074	185	9	our	our	PRON
ap-2074	185	10	present	present	ADJ
ap-2074	185	11	message	message	NOUN
ap-2074	185	12	may	may	AUX
ap-2074	185	13	be	be	AUX
ap-2074	185	14	summarized	summarize	VERB
ap-2074	185	15	as	as	SCONJ
ap-2074	185	16	follows	follow	VERB
ap-2074	185	17	:	:	PUNCT
ap-2074	185	18	in	in	ADP
ap-2074	185	19	fact	fact	NOUN
ap-2074	185	20	,	,	PUNCT
ap-2074	185	21	it	it	PRON
ap-2074	185	22	need	need	AUX
ap-2074	185	23	not	not	PART
ap-2074	185	24	be	be	AUX
ap-2074	185	25	particularly	particularly	ADV
ap-2074	185	26	difficult	difficult	ADJ
ap-2074	185	27	to	to	PART
ap-2074	185	28	search	search	VERB
ap-2074	185	29	for	for	ADP
ap-2074	185	30	a	a	DET
ap-2074	185	31	further	further	ADJ
ap-2074	185	32	enhancement	enhancement	NOUN
ap-2074	185	33	of	of	ADP
ap-2074	185	34	parallels	parallel	NOUN
ap-2074	185	35	between	between	ADP
ap-2074	185	36	the	the	DET
ap-2074	185	37	manifestly	manifestly	ADV
ap-2074	185	38	nonhermitian	nonhermitian	ADJ
ap-2074	185	39	,	,	PUNCT
ap-2074	185	40	annihilation	annihilation	NOUN
ap-2074	185	41	-	-	PUNCT
ap-2074	185	42	operator	operator	NOUN
ap-2074	185	43	-	-	PUNCT
ap-2074	185	44	type	type	NOUN
ap-2074	185	45	ccm	ccm	NOUN
ap-2074	185	46	choice	choice	NOUN
ap-2074	185	47	of	of	ADP
ap-2074	185	48	the	the	DET
ap-2074	185	49	tilded	tilde	VERB
ap-2074	185	50	operator	operator	NOUN
ap-2074	185	51	s̃	s̃	PROPN
ap-2074	185	52	and	and	CCONJ
ap-2074	185	53	the	the	DET
ap-2074	185	54	strictly	strictly	ADV
ap-2074	185	55	hermitian	hermitian	ADJ
ap-2074	185	56	and	and	CCONJ
ap-2074	185	57	,	,	PUNCT
ap-2074	185	58	in	in	ADP
ap-2074	185	59	addition	addition	NOUN
ap-2074	185	60	,	,	PUNCT
ap-2074	185	61	also	also	ADV
ap-2074	185	62	strictly	strictly	ADV
ap-2074	185	63	positive	positive	ADJ
ap-2074	185	64	definite	definite	ADJ
ap-2074	185	65	hilbertspace	hilbertspace	NOUN
ap-2074	185	66	-	-	PUNCT
ap-2074	185	67	metric	metric	ADJ
ap-2074	185	68	operator	operator	NOUN
ap-2074	185	69	θ	θ	PROPN
ap-2074	185	70	=	=	PUNCT
ap-2074	185	71	ω†ω	ω†ω	PROPN
ap-2074	185	72	.	.	PUNCT
ap-2074	186	1	in	in	ADP
ap-2074	186	2	the	the	DET
ap-2074	186	3	terminology	terminology	NOUN
ap-2074	186	4	of	of	ADP
ap-2074	186	5	physics	physics	NOUN
ap-2074	186	6	this	this	DET
ap-2074	186	7	persuasion	persuasion	NOUN
ap-2074	186	8	is	be	AUX
ap-2074	186	9	supported	support	VERB
ap-2074	186	10	by	by	ADP
ap-2074	186	11	the	the	DET
ap-2074	186	12	observation	observation	NOUN
ap-2074	186	13	that	that	SCONJ
ap-2074	186	14	what	what	PRON
ap-2074	186	15	is	be	AUX
ap-2074	186	16	shared	share	VERB
ap-2074	186	17	by	by	ADP
ap-2074	186	18	both	both	CCONJ
ap-2074	186	19	the	the	DET
ap-2074	186	20	abstract	abstract	ADJ
ap-2074	186	21	ccm	ccm	NOUN
ap-2074	186	22	and	and	CCONJ
ap-2074	186	23	ths	th	NOUN
ap-2074	186	24	formalisms	formalism	NOUN
ap-2074	186	25	is	be	AUX
ap-2074	186	26	a	a	DET
ap-2074	186	27	truly	truly	ADV
ap-2074	186	28	exciting	exciting	ADJ
ap-2074	186	29	idea	idea	NOUN
ap-2074	186	30	of	of	ADP
ap-2074	186	31	using	use	VERB
ap-2074	186	32	nontrivial	nontrivial	NOUN
ap-2074	186	33	“	"	PUNCT
ap-2074	186	34	redundant	redundant	ADJ
ap-2074	186	35	”	"	PUNCT
ap-2074	186	36	operators	operator	NOUN
ap-2074	186	37	s̃	s̃	PROPN
ap-2074	186	38	or	or	CCONJ
ap-2074	186	39	θ	θ	PROPN
ap-2074	186	40	in	in	ADP
ap-2074	186	41	place	place	NOUN
ap-2074	186	42	of	of	ADP
ap-2074	186	43	the	the	DET
ap-2074	186	44	common	common	ADJ
ap-2074	186	45	identity	identity	NOUN
ap-2074	186	46	operator	operator	NOUN
ap-2074	186	47	.	.	PUNCT
ap-2074	187	1	in	in	ADP
ap-2074	187	2	both	both	DET
ap-2074	187	3	formalisms	formalism	NOUN
ap-2074	187	4	,	,	PUNCT
ap-2074	187	5	the	the	DET
ap-2074	187	6	rationale	rationale	NOUN
ap-2074	187	7	behind	behind	ADP
ap-2074	187	8	the	the	DET
ap-2074	187	9	use	use	NOUN
ap-2074	187	10	of	of	ADP
ap-2074	187	11	the	the	DET
ap-2074	187	12	respective	respective	ADJ
ap-2074	187	13	nontrivial	nontrivial	ADJ
ap-2074	187	14	operators	operator	NOUN
ap-2074	187	15	s̃	s̃	PROPN
ap-2074	187	16	and	and	CCONJ
ap-2074	187	17	θ	θ	PROPN
ap-2074	187	18	is	be	AUX
ap-2074	187	19	rather	rather	ADV
ap-2074	187	20	subtle	subtle	ADJ
ap-2074	187	21	though	though	SCONJ
ap-2074	187	22	fairly	fairly	ADV
ap-2074	187	23	persuasive	persuasive	ADJ
ap-2074	187	24	and	and	CCONJ
ap-2074	187	25	not	not	PART
ap-2074	187	26	too	too	ADV
ap-2074	187	27	dissimilar	dissimilar	ADJ
ap-2074	187	28	.	.	PUNCT
ap-2074	188	1	indeed	indeed	ADV
ap-2074	188	2	,	,	PUNCT
ap-2074	188	3	one	one	NUM
ap-2074	188	4	starts	start	VERB
ap-2074	188	5	from	from	ADP
ap-2074	188	6	a	a	DET
ap-2074	188	7	well	well	ADV
ap-2074	188	8	known	know	VERB
ap-2074	188	9	while	while	NOUN
ap-2074	188	10	,	,	PUNCT
ap-2074	188	11	unfortunately	unfortunately	ADV
ap-2074	188	12	,	,	PUNCT
ap-2074	188	13	prohibitively	prohibitively	ADV
ap-2074	188	14	complicated	complicate	VERB
ap-2074	188	15	initial	initial	ADJ
ap-2074	188	16	self	self	NOUN
ap-2074	188	17	-	-	PUNCT
ap-2074	188	18	adjoint	adjoint	NOUN
ap-2074	188	19	hamiltonian	hamiltonian	NOUN
ap-2074	188	20	in	in	ADP
ap-2074	188	21	both	both	DET
ap-2074	188	22	cases	case	NOUN
ap-2074	188	23	(	(	PUNCT
ap-2074	188	24	recall	recall	NOUN
ap-2074	188	25	,	,	PUNCT
ap-2074	188	26	once	once	ADV
ap-2074	188	27	more	more	ADJ
ap-2074	188	28	,	,	PUNCT
ap-2074	188	29	table	table	NOUN
ap-2074	188	30	1	1	NUM
ap-2074	188	31	)	)	PUNCT
ap-2074	188	32	.	.	PUNCT
ap-2074	189	1	secondly	secondly	ADV
ap-2074	189	2	,	,	PUNCT
ap-2074	189	3	the	the	DET
ap-2074	189	4	choice	choice	NOUN
ap-2074	189	5	and/or	and/or	CCONJ
ap-2074	189	6	construction	construction	NOUN
ap-2074	189	7	of	of	ADP
ap-2074	189	8	the	the	DET
ap-2074	189	9	mapping	mapping	NOUN
ap-2074	189	10	ω	ω	NOUN
ap-2074	189	11	=	=	SYM
ap-2074	189	12	exps	exp	NOUN
ap-2074	189	13	is	be	AUX
ap-2074	189	14	motivated	motivate	VERB
ap-2074	189	15	,	,	PUNCT
ap-2074	189	16	in	in	ADP
ap-2074	189	17	both	both	PRON
ap-2074	189	18	of	of	ADP
ap-2074	189	19	the	the	DET
ap-2074	189	20	approaches	approach	NOUN
ap-2074	189	21	,	,	PUNCT
ap-2074	189	22	by	by	ADP
ap-2074	189	23	a	a	DET
ap-2074	189	24	more	more	ADV
ap-2074	189	25	or	or	CCONJ
ap-2074	189	26	less	less	ADV
ap-2074	189	27	comparably	comparably	ADV
ap-2074	189	28	successful	successful	ADJ
ap-2074	189	29	simplification	simplification	NOUN
ap-2074	189	30	of	of	ADP
ap-2074	189	31	the	the	DET
ap-2074	189	32	schrödinger	schrödinger	ADJ
ap-2074	189	33	eigenvalue	eigenvalue	PROPN
ap-2074	189	34	problem	problem	NOUN
ap-2074	189	35	.	.	PUNCT
ap-2074	190	1	thirdly	thirdly	ADV
ap-2074	190	2	,	,	PUNCT
ap-2074	190	3	both	both	CCONJ
ap-2074	190	4	the	the	DET
ap-2074	190	5	ccm	ccm	NOUN
ap-2074	190	6	and	and	CCONJ
ap-2074	190	7	ths	th	NOUN
ap-2074	190	8	re	re	NOUN
ap-2074	190	9	-	-	NOUN
ap-2074	190	10	arrangements	arrangement	NOUN
ap-2074	190	11	of	of	ADP
ap-2074	190	12	the	the	DET
ap-2074	190	13	quantum	quantum	ADJ
ap-2074	190	14	bound	bind	VERB
ap-2074	190	15	-	-	PUNCT
ap-2074	190	16	state	state	NOUN
ap-2074	190	17	problem	problem	NOUN
ap-2074	190	18	lead	lead	VERB
ap-2074	190	19	to	to	ADP
ap-2074	190	20	the	the	DET
ap-2074	190	21	necessity	necessity	NOUN
ap-2074	190	22	of	of	ADP
ap-2074	190	23	the	the	DET
ap-2074	190	24	introduction	introduction	NOUN
ap-2074	190	25	of	of	ADP
ap-2074	190	26	the	the	DET
ap-2074	190	27	respective	respective	ADJ
ap-2074	190	28	nontrivial	nontrivial	ADJ
ap-2074	190	29	operators	operator	NOUN
ap-2074	190	30	s̃	s̃	PROPN
ap-2074	190	31	and	and	CCONJ
ap-2074	190	32	θ	θ	PROPN
ap-2074	190	33	using	use	VERB
ap-2074	190	34	comparably	comparably	ADV
ap-2074	190	35	strong	strong	ADJ
ap-2074	190	36	but	but	CCONJ
ap-2074	190	37	,	,	PUNCT
ap-2074	190	38	at	at	ADP
ap-2074	190	39	the	the	DET
ap-2074	190	40	same	same	ADJ
ap-2074	190	41	time	time	NOUN
ap-2074	190	42	,	,	PUNCT
ap-2074	190	43	different	different	ADJ
ap-2074	190	44	supportive	supportive	ADJ
ap-2074	190	45	arguments	argument	NOUN
ap-2074	190	46	.	.	PUNCT
ap-2074	191	1	what	what	PRON
ap-2074	191	2	now	now	ADV
ap-2074	191	3	remains	remain	VERB
ap-2074	191	4	open	open	ADJ
ap-2074	191	5	is	be	AUX
ap-2074	191	6	a	a	DET
ap-2074	191	7	truly	truly	ADV
ap-2074	191	8	challenging	challenging	ADJ
ap-2074	191	9	question	question	NOUN
ap-2074	191	10	as	as	ADP
ap-2074	191	11	to	to	ADP
ap-2074	191	12	whether	whether	SCONJ
ap-2074	191	13	,	,	PUNCT
ap-2074	191	14	and	and	CCONJ
ap-2074	191	15	in	in	ADP
ap-2074	191	16	which	which	DET
ap-2074	191	17	sense	sense	NOUN
ap-2074	191	18	,	,	PUNCT
ap-2074	191	19	one	one	PRON
ap-2074	191	20	could	could	AUX
ap-2074	191	21	really	really	ADV
ap-2074	191	22	achieve	achieve	VERB
ap-2074	191	23	a	a	DET
ap-2074	191	24	complete	complete	ADJ
ap-2074	191	25	coincidence	coincidence	NOUN
ap-2074	191	26	of	of	ADP
ap-2074	191	27	the	the	DET
ap-2074	191	28	respective	respective	ADJ
ap-2074	191	29	(	(	PUNCT
ap-2074	191	30	and	and	CCONJ
ap-2074	191	31	,	,	PUNCT
ap-2074	191	32	apparently	apparently	ADV
ap-2074	191	33	,	,	PUNCT
ap-2074	191	34	ideologically	ideologically	ADV
ap-2074	191	35	distant	distant	ADJ
ap-2074	191	36	)	)	PUNCT
ap-2074	191	37	ccm	ccm	NOUN
ap-2074	191	38	and	and	CCONJ
ap-2074	191	39	ths	th	NOUN
ap-2074	191	40	recipes	recipe	NOUN
ap-2074	191	41	.	.	PUNCT
ap-2074	192	1	firstly	firstly	ADV
ap-2074	192	2	,	,	PUNCT
ap-2074	192	3	an	an	DET
ap-2074	192	4	affirmative	affirmative	ADJ
ap-2074	192	5	answer	answer	NOUN
ap-2074	192	6	may	may	AUX
ap-2074	192	7	be	be	AUX
ap-2074	192	8	given	give	VERB
ap-2074	192	9	(	(	PUNCT
ap-2074	192	10	and	and	CCONJ
ap-2074	192	11	the	the	DET
ap-2074	192	12	idea	idea	NOUN
ap-2074	192	13	may	may	AUX
ap-2074	192	14	be	be	AUX
ap-2074	192	15	made	make	VERB
ap-2074	192	16	working	work	VERB
ap-2074	192	17	)	)	PUNCT
ap-2074	192	18	whenever	whenever	SCONJ
ap-2074	192	19	the	the	DET
ap-2074	192	20	hilbert	hilbert	NOUN
ap-2074	192	21	spaces	space	NOUN
ap-2074	192	22	of	of	ADP
ap-2074	192	23	the	the	DET
ap-2074	192	24	system	system	NOUN
ap-2074	192	25	remain	remain	VERB
ap-2074	192	26	,	,	PUNCT
ap-2074	192	27	for	for	ADP
ap-2074	192	28	whatever	whatever	DET
ap-2074	192	29	reason	reason	NOUN
ap-2074	192	30	(	(	PUNCT
ap-2074	192	31	e.g.	e.g.	ADV
ap-2074	192	32	,	,	PUNCT
ap-2074	192	33	for	for	ADP
ap-2074	192	34	approximation	approximation	NOUN
ap-2074	192	35	purposes	purpose	NOUN
ap-2074	192	36	)	)	PUNCT
ap-2074	192	37	finite	finite	ADJ
ap-2074	192	38	-	-	ADJ
ap-2074	192	39	dimensional	dimensional	ADJ
ap-2074	192	40	.	.	PUNCT
ap-2074	193	1	in	in	ADP
ap-2074	193	2	such	such	DET
ap-2074	193	3	a	a	DET
ap-2074	193	4	very	very	ADV
ap-2074	193	5	specific	specific	ADJ
ap-2074	193	6	case	case	NOUN
ap-2074	193	7	the	the	DET
ap-2074	193	8	space	space	NOUN
ap-2074	193	9	for	for	ADP
ap-2074	193	10	a	a	DET
ap-2074	193	11	compromise	compromise	NOUN
ap-2074	193	12	immediately	immediately	ADV
ap-2074	193	13	opens	open	VERB
ap-2074	193	14	after	after	SCONJ
ap-2074	193	15	we	we	PRON
ap-2074	193	16	move	move	VERB
ap-2074	193	17	from	from	ADP
ap-2074	193	18	the	the	DET
ap-2074	193	19	abstract	abstract	ADJ
ap-2074	193	20	formalism	formalism	NOUN
ap-2074	193	21	to	to	ADP
ap-2074	193	22	any	any	DET
ap-2074	193	23	kind	kind	NOUN
ap-2074	193	24	of	of	ADP
ap-2074	193	25	a	a	DET
ap-2074	193	26	practical	practical	ADJ
ap-2074	193	27	variational	variational	ADJ
ap-2074	193	28	calculation	calculation	NOUN
ap-2074	193	29	and/or	and/or	CCONJ
ap-2074	193	30	numerical	numerical	ADJ
ap-2074	193	31	approximation	approximation	NOUN
ap-2074	193	32	.	.	PUNCT
ap-2074	194	1	schematically	schematically	PROPN
ap-2074	194	2	speaking	speak	VERB
ap-2074	194	3	,	,	PUNCT
ap-2074	194	4	any	any	DET
ap-2074	194	5	2	2	NUM
ap-2074	194	6	m	m	NOUN
ap-2074	194	7	-parametric	-parametric	ADJ
ap-2074	194	8	array	array	NOUN
ap-2074	194	9	of	of	ADP
ap-2074	194	10	the	the	DET
ap-2074	194	11	multi	multi	ADJ
ap-2074	194	12	-	-	ADJ
ap-2074	194	13	indexed	indexed	ADJ
ap-2074	194	14	ccm	ccm	NOUN
ap-2074	194	15	variational	variational	ADJ
ap-2074	194	16	coefficients	coefficient	NOUN
ap-2074	194	17	sk	sk	PROPN
ap-2074	194	18	and	and	CCONJ
ap-2074	194	19	s̃k	s̃k	NOUN
ap-2074	194	20	with	with	ADP
ap-2074	194	21	k	k	PROPN
ap-2074	194	22	=	=	SYM
ap-2074	194	23	1	1	NUM
ap-2074	194	24	,	,	PUNCT
ap-2074	194	25	2	2	NUM
ap-2074	194	26	,	,	PUNCT
ap-2074	194	27	.	.	PUNCT
ap-2074	194	28	.	.	PUNCT
ap-2074	194	29	.	.	PUNCT
ap-2074	195	1	,	,	PUNCT
ap-2074	195	2	m	m	PROPN
ap-2074	195	3	may	may	AUX
ap-2074	195	4	be	be	AUX
ap-2074	195	5	perceived	perceive	VERB
ap-2074	195	6	equivalent	equivalent	ADJ
ap-2074	195	7	to	to	ADP
ap-2074	195	8	an	an	DET
ap-2074	195	9	introduction	introduction	NOUN
ap-2074	195	10	of	of	ADP
ap-2074	195	11	a	a	DET
ap-2074	195	12	2	2	NUM
ap-2074	195	13	m	m	NOUN
ap-2074	195	14	-parametric	-parametric	ADJ
ap-2074	195	15	metric	metric	ADJ
ap-2074	195	16	θ	θ	NOUN
ap-2074	195	17	=	=	SYM
ap-2074	195	18	ω†ω	ω†ω	NUM
ap-2074	195	19	.	.	PUNCT
ap-2074	196	1	it	it	PRON
ap-2074	196	2	should	should	AUX
ap-2074	196	3	be	be	AUX
ap-2074	196	4	noted	note	VERB
ap-2074	196	5	,	,	PUNCT
ap-2074	196	6	as	as	ADP
ap-2074	196	7	a	a	DET
ap-2074	196	8	supportive	supportive	ADJ
ap-2074	196	9	argument	argument	NOUN
ap-2074	196	10	,	,	PUNCT
ap-2074	196	11	that	that	SCONJ
ap-2074	196	12	even	even	ADV
ap-2074	196	13	in	in	ADP
ap-2074	196	14	the	the	DET
ap-2074	196	15	thorough	thorough	ADJ
ap-2074	196	16	ibm	ibm	PROPN
ap-2074	196	17	review	review	NOUN
ap-2074	196	18	[	[	X
ap-2074	196	19	4	4	X
ap-2074	196	20	]	]	PUNCT
ap-2074	196	21	a	a	DET
ap-2074	196	22	large	large	ADJ
ap-2074	196	23	amount	amount	NOUN
ap-2074	196	24	of	of	ADP
ap-2074	196	25	space	space	NOUN
ap-2074	196	26	has	have	AUX
ap-2074	196	27	been	be	AUX
ap-2074	196	28	devoted	devote	VERB
ap-2074	196	29	to	to	ADP
ap-2074	196	30	the	the	DET
ap-2074	196	31	study	study	NOUN
ap-2074	196	32	of	of	ADP
ap-2074	196	33	finite	finite	ADJ
ap-2074	196	34	-	-	ADJ
ap-2074	196	35	dimensional	dimensional	ADJ
ap-2074	196	36	models	model	NOUN
ap-2074	196	37	and	and	CCONJ
ap-2074	196	38	to	to	ADP
ap-2074	196	39	the	the	DET
ap-2074	196	40	questions	question	NOUN
ap-2074	196	41	of	of	ADP
ap-2074	196	42	practical	practical	ADJ
ap-2074	196	43	variational	variational	ADJ
ap-2074	196	44	applicability	applicability	NOUN
ap-2074	196	45	of	of	ADP
ap-2074	196	46	the	the	DET
ap-2074	196	47	ths	th	NOUN
ap-2074	196	48	scheme	scheme	NOUN
ap-2074	196	49	.	.	PUNCT
ap-2074	197	1	on	on	ADP
ap-2074	197	2	this	this	DET
ap-2074	197	3	level	level	NOUN
ap-2074	197	4	of	of	ADP
ap-2074	197	5	mathematics	mathematic	NOUN
ap-2074	197	6	the	the	DET
ap-2074	197	7	overall	overall	ADJ
ap-2074	197	8	nature	nature	NOUN
ap-2074	197	9	and	and	CCONJ
ap-2074	197	10	structure	structure	NOUN
ap-2074	197	11	of	of	ADP
ap-2074	197	12	the	the	DET
ap-2074	197	13	above	above	ADV
ap-2074	197	14	-	-	PUNCT
ap-2074	197	15	indicated	indicate	VERB
ap-2074	197	16	possibility	possibility	NOUN
ap-2074	197	17	of	of	ADP
ap-2074	197	18	a	a	DET
ap-2074	197	19	complete	complete	ADJ
ap-2074	197	20	unification	unification	NOUN
ap-2074	197	21	(	(	PUNCT
ap-2074	197	22	or	or	CCONJ
ap-2074	197	23	,	,	PUNCT
ap-2074	197	24	at	at	ADP
ap-2074	197	25	least	least	ADJ
ap-2074	197	26	,	,	PUNCT
ap-2074	197	27	of	of	ADP
ap-2074	197	28	a	a	DET
ap-2074	197	29	strengthening	strengthening	NOUN
ap-2074	197	30	of	of	ADP
ap-2074	197	31	90	90	NUM
ap-2074	197	32	vol	vol	NOUN
ap-2074	197	33	.	.	PUNCT
ap-2074	198	1	54	54	NUM
ap-2074	198	2	no	no	NOUN
ap-2074	198	3	.	.	PUNCT
ap-2074	199	1	2/2014	2/2014	PROPN
ap-2074	200	1	the	the	DET
ap-2074	200	2	coupled	couple	VERB
ap-2074	200	3	-	-	PUNCT
ap-2074	200	4	cluster	cluster	NOUN
ap-2074	200	5	approach	approach	NOUN
ap-2074	200	6	to	to	ADP
ap-2074	200	7	quantum	quantum	ADJ
ap-2074	200	8	many	many	ADJ
ap-2074	200	9	-	-	PUNCT
ap-2074	200	10	body	body	NOUN
ap-2074	200	11	problem	problem	NOUN
ap-2074	200	12	the	the	DET
ap-2074	200	13	ccm	ccm	NOUN
ap-2074	200	14	–	–	PUNCT
ap-2074	200	15	ths	th	NOUN
ap-2074	200	16	parallelism	parallelism	NOUN
ap-2074	200	17	)	)	PUNCT
ap-2074	200	18	may	may	AUX
ap-2074	200	19	be	be	AUX
ap-2074	200	20	read	read	VERB
ap-2074	200	21	out	out	ADP
ap-2074	200	22	of	of	ADP
ap-2074	200	23	the	the	DET
ap-2074	200	24	three	three	NUM
ap-2074	200	25	-	-	PUNCT
ap-2074	200	26	hilbert	hilbert	NOUN
ap-2074	200	27	-	-	PUNCT
ap-2074	200	28	space	space	NOUN
ap-2074	200	29	diagram	diagram	NOUN
ap-2074	200	30	in	in	ADP
ap-2074	200	31	figure	figure	NOUN
ap-2074	200	32	1	1	NUM
ap-2074	200	33	.	.	PUNCT
ap-2074	201	1	by	by	ADP
ap-2074	201	2	the	the	DET
ap-2074	201	3	blobs	blob	NOUN
ap-2074	201	4	we	we	PRON
ap-2074	201	5	mark	mark	VERB
ap-2074	201	6	here	here	ADV
ap-2074	201	7	the	the	DET
ap-2074	201	8	three	three	NUM
ap-2074	201	9	main	main	ADJ
ap-2074	201	10	constructive	constructive	ADJ
ap-2074	201	11	ccm	ccm	NOUN
ap-2074	201	12	–	–	PUNCT
ap-2074	201	13	ths	th	NOUN
ap-2074	201	14	steps	step	NOUN
ap-2074	201	15	.	.	PUNCT
ap-2074	202	1	in	in	ADP
ap-2074	202	2	the	the	DET
ap-2074	202	3	first	first	ADJ
ap-2074	202	4	two	two	NUM
ap-2074	202	5	steps	step	NOUN
ap-2074	202	6	(	(	PUNCT
ap-2074	202	7	viz	viz	PROPN
ap-2074	202	8	.	.	PROPN
ap-2074	202	9	,	,	PUNCT
ap-2074	202	10	•	•	NOUN
ap-2074	202	11	and	and	CCONJ
ap-2074	202	12	••	••	NOUN
ap-2074	202	13	)	)	PUNCT
ap-2074	202	14	we	we	PRON
ap-2074	202	15	may	may	AUX
ap-2074	202	16	assume	assume	VERB
ap-2074	202	17	to	to	PART
ap-2074	202	18	stay	stay	VERB
ap-2074	202	19	inside	inside	ADP
ap-2074	202	20	the	the	DET
ap-2074	202	21	usual	usual	ADJ
ap-2074	202	22	ccm	ccm	NOUN
ap-2074	202	23	framework	framework	NOUN
ap-2074	202	24	in	in	ADP
ap-2074	202	25	which	which	PRON
ap-2074	202	26	the	the	DET
ap-2074	202	27	ground	ground	NOUN
ap-2074	202	28	-	-	PUNCT
ap-2074	202	29	state	state	NOUN
ap-2074	202	30	eigenvector	eigenvector	NOUN
ap-2074	202	31	|ψ	|ψ	PROPN
ap-2074	202	32	〉	〉	NUM
ap-2074	202	33	of	of	ADP
ap-2074	202	34	the	the	DET
ap-2074	202	35	quantum	quantum	ADJ
ap-2074	202	36	system	system	NOUN
ap-2074	202	37	in	in	ADP
ap-2074	202	38	question	question	NOUN
ap-2074	202	39	is	be	AUX
ap-2074	202	40	reparametrized	reparametrize	VERB
ap-2074	202	41	in	in	ADP
ap-2074	202	42	terms	term	NOUN
ap-2074	202	43	of	of	ADP
ap-2074	202	44	operator	operator	NOUN
ap-2074	202	45	s.	s.	PROPN
ap-2074	202	46	thus	thus	ADV
ap-2074	202	47	,	,	PUNCT
ap-2074	202	48	the	the	DET
ap-2074	202	49	ccm	ccm	NOUN
ap-2074	202	50	–	–	PUNCT
ap-2074	202	51	ths	th	NOUN
ap-2074	202	52	innovation	innovation	NOUN
ap-2074	202	53	only	only	ADV
ap-2074	202	54	emerges	emerge	VERB
ap-2074	202	55	,	,	PUNCT
ap-2074	202	56	via	via	ADP
ap-2074	202	57	operators	operator	NOUN
ap-2074	202	58	s̃	s̃	PROPN
ap-2074	202	59	alias	alias	PROPN
ap-2074	202	60	θ	θ	PROPN
ap-2074	202	61	,	,	PUNCT
ap-2074	202	62	in	in	ADP
ap-2074	202	63	the	the	DET
ap-2074	202	64	third	third	ADJ
ap-2074	202	65	step	step	NOUN
ap-2074	202	66	(	(	PUNCT
ap-2074	202	67	•	•	NOUN
ap-2074	202	68	•	•	NOUN
ap-2074	202	69	•	•	NOUN
ap-2074	202	70	,	,	PUNCT
ap-2074	202	71	see	see	VERB
ap-2074	202	72	table	table	NOUN
ap-2074	202	73	2	2	NUM
ap-2074	202	74	)	)	PUNCT
ap-2074	202	75	.	.	PUNCT
ap-2074	203	1	in	in	ADP
ap-2074	203	2	this	this	DET
ap-2074	203	3	setting	setting	NOUN
ap-2074	203	4	let	let	VERB
ap-2074	203	5	us	we	PRON
ap-2074	203	6	remind	remind	VERB
ap-2074	203	7	the	the	DET
ap-2074	203	8	readers	reader	NOUN
ap-2074	203	9	that	that	SCONJ
ap-2074	203	10	the	the	PRON
ap-2074	203	11	(	(	PUNCT
ap-2074	203	12	certainly	certainly	ADV
ap-2074	203	13	,	,	PUNCT
ap-2074	203	14	in	in	ADP
ap-2074	203	15	general	general	ADJ
ap-2074	203	16	,	,	PUNCT
ap-2074	203	17	existing	exist	VERB
ap-2074	203	18	)	)	PUNCT
ap-2074	203	19	creation	creation	NOUN
ap-2074	203	20	-	-	PUNCT
ap-2074	203	21	operator	operator	NOUN
ap-2074	203	22	components	component	NOUN
ap-2074	203	23	of	of	ADP
ap-2074	203	24	θ(ccm	θ(ccm	NOUN
ap-2074	203	25	)	)	PUNCT
ap-2074	203	26	may	may	AUX
ap-2074	203	27	be	be	AUX
ap-2074	203	28	expected	expect	VERB
ap-2074	203	29	to	to	PART
ap-2074	203	30	play	play	VERB
ap-2074	203	31	just	just	ADV
ap-2074	203	32	a	a	DET
ap-2074	203	33	marginal	marginal	ADJ
ap-2074	203	34	role	role	NOUN
ap-2074	203	35	in	in	ADP
ap-2074	203	36	the	the	DET
ap-2074	203	37	convergence	convergence	NOUN
ap-2074	203	38	.	.	PUNCT
ap-2074	204	1	the	the	DET
ap-2074	204	2	reason	reason	NOUN
ap-2074	204	3	is	be	AUX
ap-2074	204	4	that	that	SCONJ
ap-2074	204	5	the	the	DET
ap-2074	204	6	ccm	ccm	NOUN
ap-2074	204	7	choice	choice	NOUN
ap-2074	204	8	of	of	ADP
ap-2074	204	9	ω	ω	X
ap-2074	204	10	=	=	SYM
ap-2074	204	11	exps	exp	NOUN
ap-2074	204	12	is	be	AUX
ap-2074	204	13	mainly	mainly	ADV
ap-2074	204	14	aimed	aim	VERB
ap-2074	204	15	at	at	ADP
ap-2074	204	16	the	the	DET
ap-2074	204	17	construction	construction	NOUN
ap-2074	204	18	of	of	ADP
ap-2074	204	19	the	the	DET
ap-2074	204	20	many	many	ADJ
ap-2074	204	21	-	-	PUNCT
ap-2074	204	22	body	body	NOUN
ap-2074	204	23	ground	ground	NOUN
ap-2074	204	24	states	state	NOUN
ap-2074	204	25	.	.	PUNCT
ap-2074	205	1	thus	thus	ADV
ap-2074	205	2	,	,	PUNCT
ap-2074	205	3	a	a	DET
ap-2074	205	4	lot	lot	NOUN
ap-2074	205	5	of	of	ADP
ap-2074	205	6	freedom	freedom	NOUN
ap-2074	205	7	is	be	AUX
ap-2074	205	8	left	leave	VERB
ap-2074	205	9	for	for	ADP
ap-2074	205	10	the	the	DET
ap-2074	205	11	introduction	introduction	NOUN
ap-2074	205	12	of	of	ADP
ap-2074	205	13	more	more	ADV
ap-2074	205	14	variational	variational	ADJ
ap-2074	205	15	parameters	parameter	NOUN
ap-2074	205	16	via	via	ADP
ap-2074	205	17	s̃	s̃	PROPN
ap-2074	205	18	6=	6=	NUM
ap-2074	205	19	i.	i.	NOUN
ap-2074	205	20	in	in	ADP
ap-2074	205	21	contrast	contrast	NOUN
ap-2074	205	22	,	,	PUNCT
ap-2074	205	23	the	the	DET
ap-2074	205	24	balanced	balanced	ADJ
ap-2074	205	25	distribution	distribution	NOUN
ap-2074	205	26	of	of	ADP
ap-2074	205	27	attention	attention	NOUN
ap-2074	205	28	of	of	ADP
ap-2074	205	29	the	the	DET
ap-2074	205	30	universal	universal	ADJ
ap-2074	205	31	ths	th	NOUN
ap-2074	205	32	formulae	formulae	VERB
ap-2074	205	33	between	between	ADP
ap-2074	205	34	the	the	DET
ap-2074	205	35	ground	ground	NOUN
ap-2074	205	36	and	and	CCONJ
ap-2074	205	37	excited	excited	ADJ
ap-2074	205	38	states	state	NOUN
ap-2074	205	39	lowers	lower	VERB
ap-2074	205	40	,	,	PUNCT
ap-2074	205	41	certainly	certainly	ADV
ap-2074	205	42	,	,	PUNCT
ap-2074	205	43	the	the	DET
ap-2074	205	44	latter	latter	ADJ
ap-2074	205	45	freedom	freedom	NOUN
ap-2074	205	46	because	because	SCONJ
ap-2074	205	47	the	the	DET
ap-2074	205	48	ths	th	NOUN
ap-2074	205	49	recipe	recipe	NOUN
ap-2074	205	50	defines	define	VERB
ap-2074	205	51	the	the	DET
ap-2074	205	52	metric	metric	NOUN
ap-2074	205	53	in	in	ADP
ap-2074	205	54	terms	term	NOUN
ap-2074	205	55	of	of	ADP
ap-2074	205	56	ω	ω	NOUN
ap-2074	205	57	unambiguously	unambiguously	ADV
ap-2074	205	58	.	.	PUNCT
ap-2074	206	1	4.2	4.2	NUM
ap-2074	206	2	.	.	PUNCT
ap-2074	207	1	towards	towards	ADP
ap-2074	207	2	the	the	DET
ap-2074	207	3	infinite	infinite	ADJ
ap-2074	207	4	-	-	PUNCT
ap-2074	207	5	dimensional	dimensional	ADJ
ap-2074	207	6	hilbert	hilbert	NOUN
ap-2074	207	7	spaces	space	NOUN
ap-2074	207	8	once	once	SCONJ
ap-2074	207	9	we	we	PRON
ap-2074	207	10	decide	decide	VERB
ap-2074	207	11	to	to	PART
ap-2074	207	12	leave	leave	VERB
ap-2074	207	13	the	the	DET
ap-2074	207	14	language	language	NOUN
ap-2074	207	15	of	of	ADP
ap-2074	207	16	computing	computing	NOUN
ap-2074	207	17	and	and	CCONJ
ap-2074	207	18	once	once	SCONJ
ap-2074	207	19	we	we	PRON
ap-2074	207	20	move	move	VERB
ap-2074	207	21	to	to	ADP
ap-2074	207	22	the	the	DET
ap-2074	207	23	exact	exact	ADJ
ap-2074	207	24	description	description	NOUN
ap-2074	207	25	of	of	ADP
ap-2074	207	26	realistic	realistic	ADJ
ap-2074	207	27	quantum	quantum	ADJ
ap-2074	207	28	systems	system	NOUN
ap-2074	207	29	and	and	CCONJ
ap-2074	207	30	to	to	ADP
ap-2074	207	31	the	the	DET
ap-2074	207	32	(	(	PUNCT
ap-2074	207	33	say	say	INTJ
ap-2074	207	34	,	,	PUNCT
ap-2074	207	35	separable	separable	ADJ
ap-2074	207	36	)	)	PUNCT
ap-2074	207	37	infinitedimensional	infinitedimensional	ADJ
ap-2074	207	38	hilbert	hilbert	NOUN
ap-2074	207	39	spaces	space	NOUN
ap-2074	207	40	,	,	PUNCT
ap-2074	207	41	the	the	DET
ap-2074	207	42	search	search	NOUN
ap-2074	207	43	for	for	ADP
ap-2074	207	44	the	the	DET
ap-2074	207	45	ccm	ccm	NOUN
ap-2074	207	46	–	–	PUNCT
ap-2074	207	47	ths	th	NOUN
ap-2074	207	48	unification	unification	NOUN
ap-2074	207	49	becomes	become	VERB
ap-2074	207	50	perceivably	perceivably	ADV
ap-2074	207	51	more	more	ADV
ap-2074	207	52	difficult	difficult	ADJ
ap-2074	207	53	.	.	PUNCT
ap-2074	208	1	from	from	ADP
ap-2074	208	2	the	the	DET
ap-2074	208	3	ths	th	NOUN
ap-2074	208	4	perspective	perspective	NOUN
ap-2074	208	5	,	,	PUNCT
ap-2074	208	6	in	in	ADP
ap-2074	208	7	particular	particular	ADJ
ap-2074	208	8	,	,	PUNCT
ap-2074	208	9	the	the	DET
ap-2074	208	10	key	key	ADJ
ap-2074	208	11	subtlety	subtlety	NOUN
ap-2074	208	12	lies	lie	VERB
ap-2074	208	13	in	in	ADP
ap-2074	208	14	the	the	DET
ap-2074	208	15	fact	fact	NOUN
ap-2074	208	16	that	that	SCONJ
ap-2074	208	17	whenever	whenever	SCONJ
ap-2074	208	18	one	one	PRON
ap-2074	208	19	decides	decide	VERB
ap-2074	208	20	to	to	PART
ap-2074	208	21	treat	treat	VERB
ap-2074	208	22	the	the	DET
ap-2074	208	23	two	two	NUM
ap-2074	208	24	topological	topological	ADJ
ap-2074	208	25	vector	vector	NOUN
ap-2074	208	26	spaces	space	NOUN
ap-2074	208	27	h(p	h(p	PROPN
ap-2074	208	28	)	)	PUNCT
ap-2074	208	29	and	and	CCONJ
ap-2074	208	30	h(f	h(f	PROPN
ap-2074	208	31	)	)	PUNCT
ap-2074	208	32	(	(	PUNCT
ap-2074	208	33	naturally	naturally	ADV
ap-2074	208	34	,	,	PUNCT
ap-2074	208	35	still	still	ADV
ap-2074	208	36	without	without	ADP
ap-2074	208	37	any	any	DET
ap-2074	208	38	account	account	NOUN
ap-2074	208	39	of	of	ADP
ap-2074	208	40	the	the	DET
ap-2074	208	41	definition	definition	NOUN
ap-2074	208	42	of	of	ADP
ap-2074	208	43	the	the	DET
ap-2074	208	44	inner	inner	ADJ
ap-2074	208	45	products	product	NOUN
ap-2074	208	46	and	and	CCONJ
ap-2074	208	47	of	of	ADP
ap-2074	208	48	the	the	DET
ap-2074	208	49	metrics	metric	NOUN
ap-2074	208	50	)	)	PUNCT
ap-2074	208	51	as	as	ADP
ap-2074	208	52	distinct	distinct	ADJ
ap-2074	208	53	,	,	PUNCT
ap-2074	208	54	the	the	DET
ap-2074	208	55	map	map	NOUN
ap-2074	208	56	ω	ω	NOUN
ap-2074	208	57	=	=	SYM
ap-2074	208	58	exp	exp	NOUN
ap-2074	208	59	s	s	PART
ap-2074	208	60	will	will	AUX
ap-2074	208	61	slightly	slightly	ADV
ap-2074	208	62	change	change	VERB
ap-2074	208	63	its	its	PRON
ap-2074	208	64	meaning	meaning	NOUN
ap-2074	208	65	as	as	ADV
ap-2074	208	66	well	well	ADV
ap-2074	208	67	as	as	ADP
ap-2074	208	68	its	its	PRON
ap-2074	208	69	interpretation	interpretation	NOUN
ap-2074	208	70	.	.	PUNCT
ap-2074	209	1	from	from	ADP
ap-2074	209	2	the	the	DET
ap-2074	209	3	alternative	alternative	NOUN
ap-2074	209	4	(	(	PUNCT
ap-2074	209	5	and	and	CCONJ
ap-2074	209	6	also	also	ADV
ap-2074	209	7	historically	historically	ADV
ap-2074	209	8	older	old	ADJ
ap-2074	209	9	)	)	PUNCT
ap-2074	209	10	ccm	ccm	NOUN
ap-2074	209	11	point	point	NOUN
ap-2074	209	12	of	of	ADP
ap-2074	209	13	view	view	NOUN
ap-2074	209	14	it	it	PRON
ap-2074	209	15	is	be	AUX
ap-2074	209	16	necessary	necessary	ADJ
ap-2074	209	17	to	to	PART
ap-2074	209	18	recall	recall	VERB
ap-2074	209	19	,	,	PUNCT
ap-2074	209	20	first	first	ADV
ap-2074	209	21	of	of	ADP
ap-2074	209	22	all	all	PRON
ap-2074	209	23	,	,	PUNCT
ap-2074	209	24	the	the	DET
ap-2074	209	25	results	result	NOUN
ap-2074	209	26	of	of	ADP
ap-2074	209	27	the	the	DET
ap-2074	209	28	important	important	ADJ
ap-2074	209	29	paper	paper	NOUN
ap-2074	210	1	[	[	X
ap-2074	210	2	20	20	NUM
ap-2074	210	3	]	]	PUNCT
ap-2074	210	4	.	.	PUNCT
ap-2074	211	1	its	its	PRON
ap-2074	211	2	author	author	NOUN
ap-2074	211	3	accepted	accept	VERB
ap-2074	211	4	the	the	DET
ap-2074	211	5	usual	usual	ADJ
ap-2074	211	6	,	,	PUNCT
ap-2074	211	7	above	above	ADV
ap-2074	211	8	-	-	PUNCT
ap-2074	211	9	described	describe	VERB
ap-2074	211	10	ccm	ccm	NOUN
ap-2074	211	11	linked	link	VERB
ap-2074	211	12	-	-	PUNCT
ap-2074	211	13	cluster	cluster	NOUN
ap-2074	211	14	parametrization	parametrization	NOUN
ap-2074	211	15	,	,	PUNCT
ap-2074	211	16	in	in	ADP
ap-2074	211	17	its	its	PRON
ap-2074	211	18	most	most	ADV
ap-2074	211	19	general	general	ADJ
ap-2074	211	20	time	time	NOUN
ap-2074	211	21	-	-	PUNCT
ap-2074	211	22	dependent	dependent	ADJ
ap-2074	211	23	form	form	NOUN
ap-2074	211	24	,	,	PUNCT
ap-2074	211	25	as	as	SCONJ
ap-2074	211	26	deduced	deduce	VERB
ap-2074	211	27	from	from	ADP
ap-2074	211	28	an	an	DET
ap-2074	211	29	appropriate	appropriate	ADJ
ap-2074	211	30	action	action	NOUN
ap-2074	211	31	principle	principle	NOUN
ap-2074	211	32	.	.	PUNCT
ap-2074	212	1	in	in	ADP
ap-2074	212	2	turn	turn	NOUN
ap-2074	212	3	,	,	PUNCT
ap-2074	212	4	this	this	PRON
ap-2074	212	5	enforces	enforce	VERB
ap-2074	212	6	a	a	DET
ap-2074	212	7	symplectic	symplectic	ADJ
ap-2074	212	8	structure	structure	NOUN
ap-2074	212	9	on	on	ADP
ap-2074	212	10	the	the	DET
ap-2074	212	11	ensuing	ensue	VERB
ap-2074	212	12	ccm	ccm	NOUN
ap-2074	212	13	phase	phase	NOUN
ap-2074	212	14	space	space	NOUN
ap-2074	212	15	of	of	ADP
ap-2074	212	16	the	the	DET
ap-2074	212	17	real	real	ADV
ap-2074	212	18	-	-	PUNCT
ap-2074	212	19	valued	value	VERB
ap-2074	212	20	“	"	PUNCT
ap-2074	212	21	degrees	degree	NOUN
ap-2074	212	22	of	of	ADP
ap-2074	212	23	freedom	freedom	NOUN
ap-2074	212	24	”	"	PUNCT
ap-2074	212	25	s	s	PROPN
ap-2074	212	26	,	,	PUNCT
ap-2074	212	27	s̃	s̃	PROPN
ap-2074	212	28	of	of	ADP
ap-2074	212	29	eq	eq	PROPN
ap-2074	212	30	.	.	PUNCT
ap-2074	213	1	(	(	PUNCT
ap-2074	213	2	14	14	NUM
ap-2074	213	3	)	)	PUNCT
ap-2074	213	4	.	.	PUNCT
ap-2074	214	1	at	at	ADP
ap-2074	214	2	this	this	DET
ap-2074	214	3	point	point	NOUN
ap-2074	214	4	the	the	DET
ap-2074	214	5	author	author	NOUN
ap-2074	214	6	of	of	ADP
ap-2074	214	7	[	[	X
ap-2074	214	8	20	20	NUM
ap-2074	214	9	]	]	PUNCT
ap-2074	214	10	has	have	AUX
ap-2074	214	11	been	be	AUX
ap-2074	214	12	forced	force	VERB
ap-2074	214	13	to	to	PART
ap-2074	214	14	discuss	discuss	VERB
ap-2074	214	15	the	the	DET
ap-2074	214	16	emergence	emergence	NOUN
ap-2074	214	17	of	of	ADP
ap-2074	214	18	the	the	DET
ap-2074	214	19	characteristic	characteristic	ADJ
ap-2074	214	20	nonhermiticity	nonhermiticity	NOUN
ap-2074	214	21	of	of	ADP
ap-2074	214	22	the	the	DET
ap-2074	214	23	average	average	ADJ
ap-2074	214	24	-	-	PUNCT
ap-2074	214	25	value	value	NOUN
ap-2074	214	26	functionals	functional	NOUN
ap-2074	214	27	λ̄(s	λ̄(s	PROPN
ap-2074	214	28	,	,	PUNCT
ap-2074	214	29	s̃	s̃	PROPN
ap-2074	214	30	)	)	PUNCT
ap-2074	214	31	of	of	ADP
ap-2074	214	32	physical	physical	ADJ
ap-2074	214	33	observables	observable	NOUN
ap-2074	214	34	as	as	ADV
ap-2074	214	35	well	well	ADV
ap-2074	214	36	as	as	ADP
ap-2074	214	37	of	of	ADP
ap-2074	214	38	the	the	DET
ap-2074	214	39	action	action	NOUN
ap-2074	214	40	ā(s	ā(s	PROPN
ap-2074	214	41	,	,	PUNCT
ap-2074	214	42	s̃	s̃	PROPN
ap-2074	214	43	)	)	PUNCT
ap-2074	214	44	itself	itself	PRON
ap-2074	214	45	.	.	PUNCT
ap-2074	215	1	in	in	ADP
ap-2074	215	2	fact	fact	NOUN
ap-2074	215	3	,	,	PUNCT
ap-2074	215	4	our	our	PRON
ap-2074	215	5	present	present	ADJ
ap-2074	215	6	idea	idea	NOUN
ap-2074	215	7	of	of	ADP
ap-2074	215	8	possible	possible	ADJ
ap-2074	215	9	ccm	ccm	NOUN
ap-2074	215	10	–	–	PUNCT
ap-2074	215	11	ths	th	NOUN
ap-2074	215	12	correspondence	correspondence	NOUN
ap-2074	215	13	also	also	ADV
ap-2074	215	14	found	find	VERB
ap-2074	215	15	another	another	DET
ap-2074	215	16	source	source	NOUN
ap-2074	215	17	of	of	ADP
ap-2074	215	18	inspiration	inspiration	NOUN
ap-2074	215	19	in	in	ADP
ap-2074	215	20	his	his	PRON
ap-2074	215	21	approach	approach	NOUN
ap-2074	215	22	,	,	PUNCT
ap-2074	215	23	so	so	ADV
ap-2074	215	24	let	let	VERB
ap-2074	215	25	us	we	PRON
ap-2074	215	26	recall	recall	VERB
ap-2074	215	27	his	his	PRON
ap-2074	215	28	key	key	ADJ
ap-2074	215	29	ideas	idea	NOUN
ap-2074	215	30	in	in	ADP
ap-2074	215	31	more	more	ADJ
ap-2074	215	32	detail	detail	NOUN
ap-2074	215	33	.	.	PUNCT
ap-2074	216	1	firstly	firstly	ADV
ap-2074	216	2	,	,	PUNCT
ap-2074	216	3	he	he	PRON
ap-2074	216	4	introduced	introduce	VERB
ap-2074	216	5	the	the	DET
ap-2074	216	6	set	set	NOUN
ap-2074	216	7	of	of	ADP
ap-2074	216	8	complex	complex	ADJ
ap-2074	216	9	conjugate	conjugate	ADJ
ap-2074	216	10	variables	variable	NOUN
ap-2074	216	11	s∗	s∗	PROPN
ap-2074	216	12	,	,	PUNCT
ap-2074	216	13	s̃	s̃	PROPN
ap-2074	216	14	∗	∗	NOUN
ap-2074	216	15	and	and	CCONJ
ap-2074	216	16	showed	show	VERB
ap-2074	216	17	how	how	SCONJ
ap-2074	216	18	they	they	PRON
ap-2074	216	19	could	could	AUX
ap-2074	216	20	be	be	AUX
ap-2074	216	21	used	use	VERB
ap-2074	216	22	to	to	PART
ap-2074	216	23	enlarge	enlarge	VERB
ap-2074	216	24	the	the	DET
ap-2074	216	25	ccm	ccm	NOUN
ap-2074	216	26	phase	phase	NOUN
ap-2074	216	27	space	space	NOUN
ap-2074	216	28	into	into	ADP
ap-2074	216	29	a	a	DET
ap-2074	216	30	genuine	genuine	ADJ
ap-2074	216	31	complex	complex	ADJ
ap-2074	216	32	manifold	manifold	NOUN
ap-2074	216	33	but	but	CCONJ
ap-2074	216	34	of	of	ADP
ap-2074	216	35	too	too	ADV
ap-2074	216	36	large	large	ADJ
ap-2074	216	37	a	a	DET
ap-2074	216	38	dimensionality	dimensionality	NOUN
ap-2074	216	39	.	.	PUNCT
ap-2074	217	1	he	he	PRON
ap-2074	217	2	further	far	ADV
ap-2074	217	3	showed	show	VERB
ap-2074	217	4	how	how	SCONJ
ap-2074	217	5	the	the	DET
ap-2074	217	6	extra	extra	ADJ
ap-2074	217	7	degrees	degree	NOUN
ap-2074	217	8	of	of	ADP
ap-2074	217	9	freedom	freedom	NOUN
ap-2074	217	10	could	could	AUX
ap-2074	217	11	then	then	ADV
ap-2074	217	12	be	be	AUX
ap-2074	217	13	eliminated	eliminate	VERB
ap-2074	217	14	via	via	ADP
ap-2074	217	15	the	the	DET
ap-2074	217	16	dirac	dirac	NOUN
ap-2074	217	17	bracket	bracket	NOUN
ap-2074	217	18	technique	technique	NOUN
ap-2074	217	19	.	.	PUNCT
ap-2074	218	1	a	a	DET
ap-2074	218	2	set	set	NOUN
ap-2074	218	3	of	of	ADP
ap-2074	218	4	constraint	constraint	NOUN
ap-2074	218	5	functions	function	NOUN
ap-2074	218	6	was	be	AUX
ap-2074	218	7	introduced	introduce	VERB
ap-2074	218	8	which	which	PRON
ap-2074	218	9	thereby	thereby	ADV
ap-2074	218	10	select	select	VERB
ap-2074	218	11	the	the	DET
ap-2074	218	12	physical	physical	ADJ
ap-2074	218	13	submanifold	submanifold	NOUN
ap-2074	218	14	(	(	PUNCT
ap-2074	218	15	alias	alia	VERB
ap-2074	218	16	the	the	DET
ap-2074	218	17	reduced	reduce	VERB
ap-2074	218	18	phase	phase	NOUN
ap-2074	218	19	space	space	NOUN
ap-2074	218	20	,	,	PUNCT
ap-2074	218	21	or	or	CCONJ
ap-2074	218	22	constraint	constraint	NOUN
ap-2074	218	23	surface	surface	NOUN
ap-2074	218	24	)	)	PUNCT
ap-2074	218	25	corresponding	correspond	VERB
ap-2074	218	26	to	to	ADP
ap-2074	218	27	the	the	DET
ap-2074	218	28	original	original	ADJ
ap-2074	218	29	hilbert	hilbert	NOUN
ap-2074	218	30	space	space	NOUN
ap-2074	218	31	.	.	PUNCT
ap-2074	219	1	subsequently	subsequently	ADV
ap-2074	219	2	,	,	PUNCT
ap-2074	219	3	the	the	DET
ap-2074	219	4	reduced	reduce	VERB
ap-2074	219	5	phase	phase	NOUN
ap-2074	219	6	space	space	NOUN
ap-2074	219	7	was	be	AUX
ap-2074	219	8	shown	show	VERB
ap-2074	219	9	to	to	PART
ap-2074	219	10	be	be	AUX
ap-2074	219	11	a	a	DET
ap-2074	219	12	(	(	PUNCT
ap-2074	219	13	kähler	kähler	NOUN
ap-2074	219	14	)	)	PUNCT
ap-2074	219	15	complex	complex	NOUN
ap-2074	219	16	manifold	manifold	NOUN
ap-2074	219	17	with	with	ADP
ap-2074	219	18	a	a	DET
ap-2074	219	19	symplectic	symplectic	ADJ
ap-2074	219	20	structure	structure	NOUN
ap-2074	219	21	,	,	PUNCT
ap-2074	219	22	just	just	ADV
ap-2074	219	23	as	as	SCONJ
ap-2074	219	24	the	the	DET
ap-2074	219	25	original	original	ADJ
ap-2074	219	26	extended	extend	VERB
ap-2074	219	27	one	one	NUM
ap-2074	219	28	.	.	PUNCT
ap-2074	220	1	ultimately	ultimately	ADV
ap-2074	220	2	,	,	PUNCT
ap-2074	220	3	the	the	DET
ap-2074	220	4	kähler	kähler	PROPN
ap-2074	220	5	manifold	manifold	NOUN
ap-2074	220	6	may	may	AUX
ap-2074	220	7	be	be	AUX
ap-2074	220	8	perceived	perceive	VERB
ap-2074	220	9	as	as	ADP
ap-2074	220	10	defining	define	VERB
ap-2074	220	11	a	a	DET
ap-2074	220	12	positive	positive	ADJ
ap-2074	220	13	,	,	PUNCT
ap-2074	220	14	invertible	invertible	ADJ
ap-2074	220	15	,	,	PUNCT
ap-2074	220	16	hermitian	hermitian	ADJ
ap-2074	220	17	geometry	geometry	NOUN
ap-2074	220	18	in	in	ADP
ap-2074	220	19	the	the	DET
ap-2074	220	20	reduced	reduce	VERB
ap-2074	220	21	phase	phase	NOUN
ap-2074	220	22	space	space	NOUN
ap-2074	220	23	.	.	PUNCT
ap-2074	221	1	arponen	arponen	PROPN
ap-2074	222	1	[	[	X
ap-2074	222	2	20	20	NUM
ap-2074	222	3	]	]	PUNCT
ap-2074	222	4	further	far	ADV
ap-2074	222	5	shows	show	VERB
ap-2074	222	6	that	that	SCONJ
ap-2074	222	7	for	for	ADP
ap-2074	222	8	a	a	DET
ap-2074	222	9	compound	compound	NOUN
ap-2074	222	10	operator	operator	NOUN
ap-2074	222	11	product	product	NOUN
ap-2074	222	12	q	q	PROPN
ap-2074	223	1	=	=	SYM
ap-2074	223	2	λ1λ2	λ1λ2	PROPN
ap-2074	223	3	,	,	PUNCT
ap-2074	223	4	the	the	DET
ap-2074	223	5	ccm	ccm	PROPN
ap-2074	223	6	star	star	PROPN
ap-2074	223	7	product	product	NOUN
ap-2074	223	8	which	which	PRON
ap-2074	223	9	generates	generate	VERB
ap-2074	223	10	the	the	DET
ap-2074	223	11	expectationvalue	expectationvalue	ADJ
ap-2074	223	12	functional	functional	ADJ
ap-2074	223	13	q	q	NOUN
ap-2074	224	1	=	=	X
ap-2074	224	2	λ1λ2	λ1λ2	NOUN
ap-2074	224	3	in	in	ADP
ap-2074	224	4	terms	term	NOUN
ap-2074	224	5	of	of	ADP
ap-2074	224	6	the	the	DET
ap-2074	224	7	individual	individual	ADJ
ap-2074	224	8	expectation	expectation	NOUN
ap-2074	224	9	values	value	VERB
ap-2074	224	10	λ1	λ1	ADJ
ap-2074	224	11	and	and	CCONJ
ap-2074	224	12	λ2	λ2	NOUN
ap-2074	224	13	,	,	PUNCT
ap-2074	224	14	as	as	SCONJ
ap-2074	224	15	given	give	VERB
ap-2074	224	16	by	by	ADP
ap-2074	224	17	eq	eq	PROPN
ap-2074	224	18	.	.	PUNCT
ap-2074	225	1	(	(	PUNCT
ap-2074	225	2	14	14	NUM
ap-2074	225	3	)	)	PUNCT
ap-2074	225	4	,	,	PUNCT
ap-2074	225	5	can	can	AUX
ap-2074	225	6	be	be	AUX
ap-2074	225	7	well	well	ADV
ap-2074	225	8	defined	define	VERB
ap-2074	225	9	in	in	ADP
ap-2074	225	10	the	the	DET
ap-2074	225	11	reduced	reduce	VERB
ap-2074	225	12	(	(	PUNCT
ap-2074	225	13	i.e.	i.e.	X
ap-2074	225	14	,	,	PUNCT
ap-2074	225	15	physical	physical	ADJ
ap-2074	225	16	)	)	PUNCT
ap-2074	225	17	phase	phase	NOUN
ap-2074	225	18	space	space	NOUN
ap-2074	225	19	.	.	PUNCT
ap-2074	226	1	this	this	DET
ap-2074	226	2	result	result	NOUN
ap-2074	226	3	suggests	suggest	VERB
ap-2074	226	4	that	that	SCONJ
ap-2074	226	5	besides	besides	SCONJ
ap-2074	226	6	starting	start	VERB
ap-2074	226	7	from	from	ADP
ap-2074	226	8	the	the	DET
ap-2074	226	9	ths	th	NOUN
ap-2074	226	10	scheme	scheme	NOUN
ap-2074	226	11	,	,	PUNCT
ap-2074	226	12	one	one	PRON
ap-2074	226	13	could	could	AUX
ap-2074	226	14	also	also	ADV
ap-2074	226	15	try	try	VERB
ap-2074	226	16	to	to	PART
ap-2074	226	17	develop	develop	VERB
ap-2074	226	18	certain	certain	ADJ
ap-2074	226	19	innovative	innovative	ADJ
ap-2074	226	20	and	and	CCONJ
ap-2074	226	21	consequently	consequently	ADV
ap-2074	226	22	hermiticity	hermiticity	NOUN
ap-2074	226	23	-	-	PUNCT
ap-2074	226	24	preserving	preserve	VERB
ap-2074	226	25	hierarchical	hierarchical	ADJ
ap-2074	226	26	approximation	approximation	NOUN
ap-2074	226	27	schemes	scheme	NOUN
ap-2074	226	28	strictly	strictly	ADV
ap-2074	226	29	within	within	ADP
ap-2074	226	30	the	the	DET
ap-2074	226	31	ccm	ccm	NOUN
ap-2074	226	32	framework	framework	NOUN
ap-2074	226	33	.	.	PUNCT
ap-2074	227	1	a	a	DET
ap-2074	227	2	judicious	judicious	ADJ
ap-2074	227	3	use	use	NOUN
ap-2074	227	4	of	of	ADP
ap-2074	227	5	the	the	DET
ap-2074	227	6	on	on	ADP
ap-2074	227	7	-	-	PUNCT
ap-2074	227	8	shell	shell	NOUN
ap-2074	227	9	star	star	NOUN
ap-2074	227	10	products	product	NOUN
ap-2074	227	11	seems	seem	VERB
ap-2074	227	12	capable	capable	ADJ
ap-2074	227	13	of	of	ADP
ap-2074	227	14	establishing	establish	VERB
ap-2074	227	15	another	another	DET
ap-2074	227	16	form	form	NOUN
ap-2074	227	17	of	of	ADP
ap-2074	227	18	the	the	DET
ap-2074	227	19	ccm	ccm	NOUN
ap-2074	227	20	–	–	PUNCT
ap-2074	227	21	ths	th	NOUN
ap-2074	227	22	parallels	parallel	VERB
ap-2074	227	23	,	,	PUNCT
ap-2074	227	24	and	and	CCONJ
ap-2074	227	25	of	of	ADP
ap-2074	227	26	doing	do	VERB
ap-2074	227	27	so	so	ADV
ap-2074	227	28	in	in	ADP
ap-2074	227	29	an	an	DET
ap-2074	227	30	entirely	entirely	ADV
ap-2074	227	31	general	general	ADJ
ap-2074	227	32	setting	setting	NOUN
ap-2074	227	33	.	.	PUNCT
ap-2074	228	1	in	in	ADP
ap-2074	228	2	addition	addition	NOUN
ap-2074	228	3	,	,	PUNCT
ap-2074	228	4	some	some	DET
ap-2074	228	5	explicit	explicit	ADJ
ap-2074	228	6	and	and	CCONJ
ap-2074	228	7	concrete	concrete	ADJ
ap-2074	228	8	constructive	constructive	ADJ
ap-2074	228	9	implementations	implementation	NOUN
ap-2074	228	10	of	of	ADP
ap-2074	228	11	the	the	DET
ap-2074	228	12	concept	concept	NOUN
ap-2074	228	13	of	of	ADP
ap-2074	228	14	the	the	DET
ap-2074	228	15	metric	metric	ADJ
ap-2074	228	16	θ	θ	PROPN
ap-2074	228	17	may	may	AUX
ap-2074	228	18	be	be	AUX
ap-2074	228	19	found	find	VERB
ap-2074	228	20	directly	directly	ADV
ap-2074	228	21	in	in	ADP
ap-2074	228	22	the	the	DET
ap-2074	228	23	generic	generic	ADJ
ap-2074	228	24	ccm	ccm	NOUN
ap-2074	228	25	framework	framework	NOUN
ap-2074	228	26	.	.	PUNCT
ap-2074	229	1	naturally	naturally	ADV
ap-2074	229	2	,	,	PUNCT
ap-2074	229	3	a	a	DET
ap-2074	229	4	deeper	deep	ADJ
ap-2074	229	5	analysis	analysis	NOUN
ap-2074	229	6	would	would	AUX
ap-2074	229	7	require	require	VERB
ap-2074	229	8	a	a	DET
ap-2074	229	9	verification	verification	NOUN
ap-2074	229	10	in	in	ADP
ap-2074	229	11	terms	term	NOUN
ap-2074	229	12	of	of	ADP
ap-2074	229	13	explicit	explicit	ADJ
ap-2074	229	14	constructions	construction	NOUN
ap-2074	229	15	.	.	PUNCT
ap-2074	230	1	further	further	ADJ
ap-2074	230	2	development	development	NOUN
ap-2074	230	3	of	of	ADP
ap-2074	230	4	such	such	DET
ap-2074	230	5	a	a	DET
ap-2074	230	6	project	project	NOUN
ap-2074	230	7	lies	lie	VERB
ap-2074	230	8	,	,	PUNCT
ap-2074	230	9	naturally	naturally	ADV
ap-2074	230	10	,	,	PUNCT
ap-2074	230	11	beyond	beyond	ADP
ap-2074	230	12	the	the	DET
ap-2074	230	13	scope	scope	NOUN
ap-2074	230	14	of	of	ADP
ap-2074	230	15	our	our	PRON
ap-2074	230	16	present	present	ADJ
ap-2074	230	17	paper	paper	NOUN
ap-2074	230	18	.	.	PUNCT
ap-2074	231	1	4.3	4.3	NUM
ap-2074	231	2	.	.	PUNCT
ap-2074	231	3	outlook	outlook	NOUN
ap-2074	231	4	let	let	VERB
ap-2074	231	5	us	we	PRON
ap-2074	231	6	summarize	summarize	VERB
ap-2074	231	7	that	that	SCONJ
ap-2074	231	8	in	in	ADP
ap-2074	231	9	the	the	DET
ap-2074	231	10	general	general	ADJ
ap-2074	231	11	ths	th	NOUN
ap-2074	231	12	framework	framework	NOUN
ap-2074	231	13	one	one	NUM
ap-2074	231	14	is	be	AUX
ap-2074	231	15	expected	expect	VERB
ap-2074	231	16	to	to	PART
ap-2074	231	17	perform	perform	VERB
ap-2074	231	18	all	all	PRON
ap-2074	231	19	of	of	ADP
ap-2074	231	20	the	the	DET
ap-2074	231	21	practical	practical	ADJ
ap-2074	231	22	computations	computation	NOUN
ap-2074	231	23	of	of	ADP
ap-2074	231	24	physical	physical	ADJ
ap-2074	231	25	predictions	prediction	NOUN
ap-2074	231	26	inside	inside	ADP
ap-2074	231	27	the	the	DET
ap-2074	231	28	“	"	PUNCT
ap-2074	231	29	friendliest	friendliest	ADJ
ap-2074	231	30	”	"	PUNCT
ap-2074	231	31	hilbert	hilbert	PROPN
ap-2074	231	32	space	space	NOUN
ap-2074	231	33	h(f	h(f	PROPN
ap-2074	231	34	)	)	PUNCT
ap-2074	231	35	.	.	PUNCT
ap-2074	232	1	what	what	PRON
ap-2074	232	2	is	be	AUX
ap-2074	232	3	a	a	DET
ap-2074	232	4	real	real	ADJ
ap-2074	232	5	mathematical	mathematical	ADJ
ap-2074	232	6	promise	promise	NOUN
ap-2074	232	7	of	of	ADP
ap-2074	232	8	a	a	DET
ap-2074	232	9	search	search	NOUN
ap-2074	232	10	for	for	ADP
ap-2074	232	11	the	the	DET
ap-2074	232	12	new	new	ADJ
ap-2074	232	13	mutual	mutual	ADJ
ap-2074	232	14	ccm	ccm	NOUN
ap-2074	232	15	–	–	PUNCT
ap-2074	232	16	ths	th	NOUN
ap-2074	232	17	correspondences	correspondence	NOUN
ap-2074	232	18	is	be	AUX
ap-2074	232	19	that	that	SCONJ
ap-2074	232	20	even	even	ADV
ap-2074	232	21	the	the	DET
ap-2074	232	22	standard	standard	ADJ
ap-2074	232	23	probabilistic	probabilistic	ADJ
ap-2074	232	24	interpretation	interpretation	NOUN
ap-2074	232	25	of	of	ADP
ap-2074	232	26	many	many	ADJ
ap-2074	232	27	-	-	PUNCT
ap-2074	232	28	body	body	NOUN
ap-2074	232	29	wave	wave	NOUN
ap-2074	232	30	functions	function	NOUN
ap-2074	232	31	need	need	AUX
ap-2074	232	32	not	not	PART
ap-2074	232	33	require	require	VERB
ap-2074	232	34	a	a	DET
ap-2074	232	35	return	return	NOUN
ap-2074	232	36	to	to	ADP
ap-2074	232	37	the	the	DET
ap-2074	232	38	“	"	PUNCT
ap-2074	232	39	unfriendly	unfriendly	ADJ
ap-2074	232	40	”	"	PUNCT
ap-2074	232	41	space	space	NOUN
ap-2074	232	42	h(p	h(p	PROPN
ap-2074	232	43	)	)	PUNCT
ap-2074	232	44	.	.	PUNCT
ap-2074	233	1	in	in	ADP
ap-2074	233	2	all	all	DET
ap-2074	233	3	respects	respect	NOUN
ap-2074	233	4	it	it	PRON
ap-2074	233	5	becomes	become	VERB
ap-2074	233	6	easier	easy	ADJ
ap-2074	233	7	to	to	PART
ap-2074	233	8	replace	replace	VERB
ap-2074	233	9	the	the	DET
ap-2074	233	10	latter	latter	ADJ
ap-2074	233	11	space	space	NOUN
ap-2074	233	12	by	by	ADP
ap-2074	233	13	its	its	PRON
ap-2074	233	14	(	(	PUNCT
ap-2074	233	15	unitarily	unitarily	ADJ
ap-2074	233	16	)	)	PUNCT
ap-2074	233	17	equivalent	equivalent	ADJ
ap-2074	233	18	alternative	alternative	ADJ
ap-2074	233	19	h(s	h(	NOUN
ap-2074	233	20	)	)	PUNCT
ap-2074	233	21	.	.	PUNCT
ap-2074	234	1	the	the	DET
ap-2074	234	2	reason	reason	NOUN
ap-2074	234	3	is	be	AUX
ap-2074	234	4	that	that	SCONJ
ap-2074	234	5	the	the	DET
ap-2074	234	6	latter	latter	ADJ
ap-2074	234	7	hilbert	hilbert	NOUN
ap-2074	234	8	space	space	NOUN
ap-2074	234	9	only	only	ADV
ap-2074	234	10	differs	differ	VERB
ap-2074	234	11	from	from	ADP
ap-2074	234	12	its	its	PRON
ap-2074	234	13	more	more	ADV
ap-2074	234	14	friendly	friendly	ADJ
ap-2074	234	15	predecessor	predecessor	NOUN
ap-2074	234	16	h(f	h(f	PROPN
ap-2074	234	17	)	)	PUNCT
ap-2074	234	18	by	by	ADP
ap-2074	234	19	an	an	DET
ap-2074	234	20	ad	ad	X
ap-2074	234	21	hoc	hoc	X
ap-2074	234	22	amended	amend	VERB
ap-2074	234	23	inner	inner	ADJ
ap-2074	234	24	product	product	NOUN
ap-2074	234	25	.	.	PUNCT
ap-2074	235	1	our	our	PRON
ap-2074	235	2	present	present	ADJ
ap-2074	235	3	brief	brief	ADJ
ap-2074	235	4	outline	outline	NOUN
ap-2074	235	5	of	of	ADP
ap-2074	235	6	a	a	DET
ap-2074	235	7	few	few	ADJ
ap-2074	235	8	explicit	explicit	ADJ
ap-2074	235	9	ccm	ccm	NOUN
ap-2074	235	10	–	–	PUNCT
ap-2074	235	11	ths	th	NOUN
ap-2074	235	12	correspondences	correspondence	NOUN
ap-2074	235	13	centered	center	VERB
ap-2074	235	14	around	around	ADP
ap-2074	235	15	the	the	DET
ap-2074	235	16	fact	fact	NOUN
ap-2074	235	17	that	that	SCONJ
ap-2074	235	18	operator	operator	NOUN
ap-2074	235	19	s̃	s̃	PROPN
ap-2074	235	20	of	of	ADP
ap-2074	235	21	the	the	DET
ap-2074	235	22	ccm	ccm	NOUN
ap-2074	235	23	formalism	formalism	NOUN
ap-2074	235	24	coincides	coincide	VERB
ap-2074	235	25	with	with	ADP
ap-2074	235	26	the	the	DET
ap-2074	235	27	hilbert	hilbert	NOUN
ap-2074	235	28	-	-	PUNCT
ap-2074	235	29	space	space	NOUN
ap-2074	235	30	metric	metric	ADJ
ap-2074	235	31	operator	operator	NOUN
ap-2074	235	32	θ	θ	PROPN
ap-2074	235	33	after	after	ADP
ap-2074	235	34	a	a	DET
ap-2074	235	35	“	"	PUNCT
ap-2074	235	36	translation	translation	NOUN
ap-2074	235	37	of	of	ADP
ap-2074	235	38	notation	notation	NOUN
ap-2074	235	39	”	"	PUNCT
ap-2074	235	40	to	to	ADP
ap-2074	235	41	the	the	DET
ap-2074	235	42	ths	th	NOUN
ap-2074	235	43	-	-	PUNCT
ap-2074	235	44	representation	representation	NOUN
ap-2074	235	45	language	language	NOUN
ap-2074	235	46	of	of	ADP
ap-2074	235	47	[	[	X
ap-2074	235	48	5	5	NUM
ap-2074	235	49	]	]	PUNCT
ap-2074	235	50	.	.	PUNCT
ap-2074	236	1	on	on	ADP
ap-2074	236	2	the	the	DET
ap-2074	236	3	background	background	NOUN
ap-2074	236	4	of	of	ADP
ap-2074	236	5	this	this	DET
ap-2074	236	6	comparison	comparison	NOUN
ap-2074	236	7	the	the	DET
ap-2074	236	8	main	main	ADJ
ap-2074	236	9	potential	potential	ADJ
ap-2074	236	10	innovation	innovation	NOUN
ap-2074	236	11	of	of	ADP
ap-2074	236	12	the	the	DET
ap-2074	236	13	ccm	ccm	NOUN
ap-2074	236	14	was	be	AUX
ap-2074	236	15	found	find	VERB
ap-2074	236	16	in	in	ADP
ap-2074	236	17	the	the	DET
ap-2074	236	18	ths	th	NOUN
ap-2074	236	19	-	-	PUNCT
ap-2074	236	20	based	base	VERB
ap-2074	236	21	possibility	possibility	NOUN
ap-2074	236	22	of	of	ADP
ap-2074	236	23	distinguishing	distinguish	VERB
ap-2074	236	24	between	between	ADP
ap-2074	236	25	the	the	DET
ap-2074	236	26	three	three	NUM
ap-2074	236	27	separate	separate	ADJ
ap-2074	236	28	hilbert	hilbert	NOUN
ap-2074	236	29	spaces	space	NOUN
ap-2074	236	30	h(p	h(p	PROPN
ap-2074	236	31	)	)	PUNCT
ap-2074	236	32	,	,	PUNCT
ap-2074	236	33	h(f	h(f	PROPN
ap-2074	236	34	)	)	PUNCT
ap-2074	236	35	and	and	CCONJ
ap-2074	236	36	h(s	h(	NOUN
ap-2074	236	37	)	)	PUNCT
ap-2074	236	38	,	,	PUNCT
ap-2074	236	39	which	which	PRON
ap-2074	236	40	would	would	AUX
ap-2074	236	41	represent	represent	VERB
ap-2074	236	42	the	the	DET
ap-2074	236	43	same	same	ADJ
ap-2074	236	44	quantum	quantum	ADJ
ap-2074	236	45	many	many	ADJ
ap-2074	236	46	-	-	PUNCT
ap-2074	236	47	body	body	NOUN
ap-2074	236	48	system	system	NOUN
ap-2074	236	49	.	.	PUNCT
ap-2074	237	1	the	the	DET
ap-2074	237	2	change	change	NOUN
ap-2074	237	3	of	of	ADP
ap-2074	237	4	perspective	perspective	NOUN
ap-2074	237	5	revealed	reveal	VERB
ap-2074	237	6	several	several	ADJ
ap-2074	237	7	ccm	ccm	NOUN
ap-2074	237	8	–	–	PUNCT
ap-2074	237	9	ths	th	NOUN
ap-2074	237	10	parallels	parallel	VERB
ap-2074	237	11	as	as	ADV
ap-2074	237	12	well	well	ADV
ap-2074	237	13	as	as	ADP
ap-2074	237	14	differences	difference	NOUN
ap-2074	237	15	.	.	PUNCT
ap-2074	238	1	among	among	ADP
ap-2074	238	2	the	the	DET
ap-2074	238	3	par91	par91	PROPN
ap-2074	238	4	raymond	raymond	PROPN
ap-2074	238	5	f.	f.	PROPN
ap-2074	238	6	bishop	bishop	PROPN
ap-2074	238	7	,	,	PUNCT
ap-2074	238	8	miloslav	miloslav	PROPN
ap-2074	238	9	znojil	znojil	PROPN
ap-2074	238	10	acta	acta	PROPN
ap-2074	238	11	polytechnica	polytechnica	PROPN
ap-2074	238	12	allels	allel	NOUN
ap-2074	238	13	,	,	PUNCT
ap-2074	238	14	one	one	NUM
ap-2074	238	15	of	of	ADP
ap-2074	238	16	the	the	DET
ap-2074	238	17	most	most	ADV
ap-2074	238	18	inspiring	inspiring	ADJ
ap-2074	238	19	seems	seem	VERB
ap-2074	238	20	to	to	PART
ap-2074	238	21	lie	lie	VERB
ap-2074	238	22	in	in	ADP
ap-2074	238	23	the	the	DET
ap-2074	238	24	emerging	emerge	VERB
ap-2074	238	25	structural	structural	ADJ
ap-2074	238	26	similarity	similarity	NOUN
ap-2074	238	27	between	between	ADP
ap-2074	238	28	the	the	DET
ap-2074	238	29	ccm	ccm	NOUN
ap-2074	238	30	constructions	construction	NOUN
ap-2074	238	31	and	and	CCONJ
ap-2074	238	32	their	their	PRON
ap-2074	238	33	ibm	ibm	PROPN
ap-2074	238	34	(=	(=	NOUN
ap-2074	238	35	interacting	interact	VERB
ap-2074	238	36	boson	boson	NOUN
ap-2074	238	37	model	model	NOUN
ap-2074	238	38	)	)	PUNCT
ap-2074	238	39	counterparts	counterpart	NOUN
ap-2074	238	40	.	.	PUNCT
ap-2074	239	1	the	the	DET
ap-2074	239	2	project	project	NOUN
ap-2074	239	3	of	of	ADP
ap-2074	239	4	our	our	PRON
ap-2074	239	5	future	future	ADJ
ap-2074	239	6	development	development	NOUN
ap-2074	239	7	of	of	ADP
ap-2074	239	8	such	such	DET
ap-2074	239	9	a	a	DET
ap-2074	239	10	ccm	ccm	NOUN
ap-2074	239	11	–	–	PUNCT
ap-2074	239	12	ibm	ibm	PROPN
ap-2074	239	13	correspondence	correspondence	NOUN
ap-2074	239	14	seems	seem	VERB
ap-2074	239	15	promising	promise	VERB
ap-2074	239	16	.	.	PUNCT
ap-2074	240	1	in	in	ADP
ap-2074	240	2	the	the	DET
ap-2074	240	3	language	language	NOUN
ap-2074	240	4	of	of	ADP
ap-2074	240	5	physics	physics	NOUN
ap-2074	240	6	it	it	PRON
ap-2074	240	7	might	might	AUX
ap-2074	240	8	enable	enable	VERB
ap-2074	240	9	us	we	PRON
ap-2074	240	10	to	to	PART
ap-2074	240	11	keep	keep	VERB
ap-2074	240	12	the	the	DET
ap-2074	240	13	initial	initial	ADJ
ap-2074	240	14	physical	physical	ADJ
ap-2074	240	15	p	p	X
ap-2074	240	16	-superscripted	-superscripted	ADJ
ap-2074	240	17	hilbert	hilbert	NOUN
ap-2074	240	18	space	space	NOUN
ap-2074	240	19	as	as	ADP
ap-2074	240	20	fermionic	fermionic	NOUN
ap-2074	240	21	while	while	SCONJ
ap-2074	240	22	rendering	render	VERB
ap-2074	240	23	the	the	DET
ap-2074	240	24	other	other	ADJ
ap-2074	240	25	two	two	NUM
ap-2074	240	26	,	,	PUNCT
ap-2074	240	27	f	f	PROPN
ap-2074	240	28	and	and	CCONJ
ap-2074	240	29	s	s	NOUN
ap-2074	240	30	-	-	PUNCT
ap-2074	240	31	superscripted	superscripted	ADJ
ap-2074	240	32	hilbert	hilbert	NOUN
ap-2074	240	33	spaces	space	NOUN
ap-2074	240	34	,	,	PUNCT
ap-2074	240	35	strictly	strictly	ADV
ap-2074	240	36	in	in	ADP
ap-2074	240	37	the	the	DET
ap-2074	240	38	generalized	generalized	ADJ
ap-2074	240	39	ibm	ibm	PROPN
ap-2074	240	40	spirit	spirit	NOUN
ap-2074	240	41	,	,	PUNCT
ap-2074	240	42	carriers	carrier	NOUN
ap-2074	240	43	of	of	ADP
ap-2074	240	44	another	another	PRON
ap-2074	240	45	,	,	PUNCT
ap-2074	240	46	generalized	generalize	VERB
ap-2074	240	47	(	(	PUNCT
ap-2074	240	48	e.g.	e.g.	ADV
ap-2074	240	49	,	,	PUNCT
ap-2074	240	50	pseudo	pseudo	NOUN
ap-2074	240	51	-	-	NOUN
ap-2074	240	52	bosonic	bosonic	ADJ
ap-2074	240	53	)	)	PUNCT
ap-2074	240	54	statistics	statistic	NOUN
ap-2074	240	55	.	.	PUNCT
ap-2074	241	1	in	in	ADP
ap-2074	241	2	the	the	DET
ap-2074	241	3	opposite	opposite	ADJ
ap-2074	241	4	direction	direction	NOUN
ap-2074	241	5	,	,	PUNCT
ap-2074	241	6	also	also	ADV
ap-2074	241	7	the	the	DET
ap-2074	241	8	traditional	traditional	ADJ
ap-2074	241	9	ibm	ibm	PROPN
ap-2074	241	10	constructions	construction	NOUN
ap-2074	241	11	of	of	ADP
ap-2074	241	12	effective	effective	ADJ
ap-2074	241	13	hamiltonians	hamiltonian	NOUN
ap-2074	241	14	could	could	AUX
ap-2074	241	15	find	find	VERB
ap-2074	241	16	some	some	DET
ap-2074	241	17	new	new	ADJ
ap-2074	241	18	inspiration	inspiration	NOUN
ap-2074	241	19	in	in	ADP
ap-2074	241	20	their	their	PRON
ap-2074	241	21	ccm	ccm	NOUN
ap-2074	241	22	analogues	analogue	NOUN
ap-2074	241	23	.	.	PUNCT
ap-2074	242	1	in	in	ADP
ap-2074	242	2	particular	particular	ADJ
ap-2074	242	3	,	,	PUNCT
ap-2074	242	4	the	the	DET
ap-2074	242	5	prospects	prospect	NOUN
ap-2074	242	6	of	of	ADP
ap-2074	242	7	a	a	DET
ap-2074	242	8	simplification	simplification	NOUN
ap-2074	242	9	mediated	mediate	VERB
ap-2074	242	10	by	by	ADP
ap-2074	242	11	the	the	DET
ap-2074	242	12	nonunitary	nonunitary	ADJ
ap-2074	242	13	invertible	invertible	ADJ
ap-2074	242	14	mappings	mapping	NOUN
ap-2074	242	15	ω	ω	NOUN
ap-2074	242	16	=	=	SYM
ap-2074	242	17	exps	exp	NOUN
ap-2074	242	18	need	need	AUX
ap-2074	242	19	not	not	PART
ap-2074	242	20	necessarily	necessarily	ADV
ap-2074	242	21	stay	stay	VERB
ap-2074	242	22	bound	bind	VERB
ap-2074	242	23	by	by	ADP
ap-2074	242	24	their	their	PRON
ap-2074	242	25	traditional	traditional	ADJ
ap-2074	242	26	bosonic	bosonic	NOUN
ap-2074	242	27	-	-	PUNCT
ap-2074	242	28	image	image	NOUN
ap-2074	242	29	ibm	ibm	PROPN
ap-2074	242	30	restrictions	restriction	NOUN
ap-2074	242	31	.	.	PUNCT
ap-2074	243	1	a	a	DET
ap-2074	243	2	new	new	ADJ
ap-2074	243	3	wealth	wealth	NOUN
ap-2074	243	4	of	of	ADP
ap-2074	243	5	correspondences	correspondence	NOUN
ap-2074	243	6	may	may	AUX
ap-2074	243	7	be	be	AUX
ap-2074	243	8	expected	expect	VERB
ap-2074	243	9	to	to	PART
ap-2074	243	10	become	become	VERB
ap-2074	243	11	implementable	implementable	ADJ
ap-2074	243	12	between	between	ADP
ap-2074	243	13	the	the	DET
ap-2074	243	14	auxiliary	auxiliary	ADJ
ap-2074	243	15	hilbert	hilbert	PROPN
ap-2074	243	16	space	space	PROPN
ap-2074	243	17	h(f	h(f	PROPN
ap-2074	243	18	)	)	PUNCT
ap-2074	243	19	and	and	CCONJ
ap-2074	243	20	the	the	DET
ap-2074	243	21	,	,	PUNCT
ap-2074	243	22	by	by	ADP
ap-2074	243	23	assumption	assumption	NOUN
ap-2074	243	24	,	,	PUNCT
ap-2074	243	25	prohibitively	prohibitively	ADV
ap-2074	243	26	complicated	complicated	ADJ
ap-2074	243	27	physical	physical	ADJ
ap-2074	243	28	hilbert	hilbert	NOUN
ap-2074	243	29	space	space	NOUN
ap-2074	243	30	h(p	h(p	PROPN
ap-2074	243	31	)	)	PUNCT
ap-2074	243	32	(	(	PUNCT
ap-2074	243	33	hence	hence	ADV
ap-2074	243	34	,	,	PUNCT
ap-2074	243	35	the	the	DET
ap-2074	243	36	superscript	superscript	NOUN
ap-2074	243	37	(	(	PUNCT
ap-2074	243	38	p	p	NOUN
ap-2074	243	39	)	)	PUNCT
ap-2074	243	40	may	may	AUX
ap-2074	243	41	also	also	ADV
ap-2074	243	42	mean	mean	VERB
ap-2074	243	43	“	"	PUNCT
ap-2074	243	44	prohibitive	prohibitive	ADJ
ap-2074	243	45	”	"	PUNCT
ap-2074	243	46	)	)	PUNCT
ap-2074	243	47	.	.	PUNCT
ap-2074	244	1	ultimately	ultimately	ADV
ap-2074	244	2	,	,	PUNCT
ap-2074	244	3	the	the	DET
ap-2074	244	4	technically	technically	ADV
ap-2074	244	5	most	most	ADV
ap-2074	244	6	productive	productive	ADJ
ap-2074	244	7	idea	idea	NOUN
ap-2074	244	8	may	may	AUX
ap-2074	244	9	be	be	AUX
ap-2074	244	10	seen	see	VERB
ap-2074	244	11	in	in	ADP
ap-2074	244	12	the	the	DET
ap-2074	244	13	exceptional	exceptional	ADJ
ap-2074	244	14	role	role	NOUN
ap-2074	244	15	of	of	ADP
ap-2074	244	16	the	the	DET
ap-2074	244	17	f	f	PROPN
ap-2074	244	18	superscripted	superscripte	VERB
ap-2074	244	19	hilbert	hilbert	NOUN
ap-2074	244	20	space	space	NOUN
ap-2074	244	21	,	,	PUNCT
ap-2074	244	22	in	in	ADP
ap-2074	244	23	which	which	PRON
ap-2074	244	24	the	the	DET
ap-2074	244	25	absence	absence	NOUN
ap-2074	244	26	of	of	ADP
ap-2074	244	27	an	an	DET
ap-2074	244	28	immediate	immediate	ADJ
ap-2074	244	29	physical	physical	ADJ
ap-2074	244	30	interpretation	interpretation	NOUN
ap-2074	244	31	(	(	PUNCT
ap-2074	244	32	say	say	INTJ
ap-2074	244	33	,	,	PUNCT
ap-2074	244	34	of	of	ADP
ap-2074	244	35	the	the	DET
ap-2074	244	36	measurable	measurable	ADJ
ap-2074	244	37	aspects	aspect	NOUN
ap-2074	244	38	of	of	ADP
ap-2074	244	39	coupled	couple	VERB
ap-2074	244	40	clusters	cluster	NOUN
ap-2074	244	41	)	)	PUNCT
ap-2074	244	42	appears	appear	VERB
ap-2074	244	43	more	more	ADJ
ap-2074	244	44	than	than	SCONJ
ap-2074	244	45	compensated	compensate	VERB
ap-2074	244	46	by	by	ADP
ap-2074	244	47	the	the	DET
ap-2074	244	48	optimal	optimal	ADJ
ap-2074	244	49	suitability	suitability	NOUN
ap-2074	244	50	of	of	ADP
ap-2074	244	51	this	this	DET
ap-2074	244	52	particular	particular	ADJ
ap-2074	244	53	representation	representation	NOUN
ap-2074	244	54	space	space	NOUN
ap-2074	244	55	for	for	ADP
ap-2074	244	56	calculations	calculation	NOUN
ap-2074	244	57	of	of	ADP
ap-2074	244	58	the	the	DET
ap-2074	244	59	,	,	PUNCT
ap-2074	244	60	typically	typically	ADV
ap-2074	244	61	,	,	PUNCT
ap-2074	244	62	variational	variational	ADJ
ap-2074	244	63	ccm	ccm	NOUN
ap-2074	244	64	type	type	NOUN
ap-2074	244	65	.	.	PUNCT
ap-2074	245	1	acknowledgements	acknowledgement	VERB
ap-2074	245	2	the	the	DET
ap-2074	245	3	participation	participation	NOUN
ap-2074	245	4	of	of	ADP
ap-2074	245	5	mz	mz	PROPN
ap-2074	245	6	was	be	AUX
ap-2074	245	7	supported	support	VERB
ap-2074	245	8	by	by	ADP
ap-2074	245	9	gačr	gačr	NOUN
ap-2074	245	10	grant	grant	NOUN
ap-2074	245	11	p203/11/1433	p203/11/1433	NOUN
ap-2074	245	12	.	.	PUNCT
ap-2074	246	1	references	reference	NOUN
ap-2074	246	2	[	[	X
ap-2074	246	3	1	1	X
ap-2074	246	4	]	]	PUNCT
ap-2074	246	5	j.	j.	PROPN
ap-2074	246	6	arponen	arponen	PROPN
ap-2074	246	7	.	.	PUNCT
ap-2074	247	1	variational	variational	ADJ
ap-2074	247	2	principles	principle	NOUN
ap-2074	247	3	and	and	CCONJ
ap-2074	247	4	linked	link	VERB
ap-2074	247	5	-	-	PUNCT
ap-2074	247	6	cluster	cluster	NOUN
ap-2074	247	7	exp	exp	NOUN
ap-2074	247	8	s	s	NOUN
ap-2074	247	9	expansions	expansion	NOUN
ap-2074	247	10	for	for	ADP
ap-2074	247	11	static	static	ADJ
ap-2074	247	12	and	and	CCONJ
ap-2074	247	13	dynamic	dynamic	ADJ
ap-2074	247	14	many	many	ADJ
ap-2074	247	15	-	-	PUNCT
ap-2074	247	16	body	body	NOUN
ap-2074	247	17	problems	problem	NOUN
ap-2074	247	18	.	.	PUNCT
ap-2074	248	1	ann	ann	PROPN
ap-2074	248	2	.	.	PUNCT
ap-2074	249	1	phys	phys	PROPN
ap-2074	249	2	.	.	PUNCT
ap-2074	250	1	(	(	PUNCT
ap-2074	250	2	ny	ny	NOUN
ap-2074	250	3	)	)	PUNCT
ap-2074	250	4	151	151	NUM
ap-2074	250	5	:	:	PUNCT
ap-2074	251	1	311–382	311–382	NUM
ap-2074	251	2	,	,	PUNCT
ap-2074	251	3	1983	1983	NUM
ap-2074	251	4	.	.	PUNCT
ap-2074	252	1	doi	doi	NOUN
ap-2074	252	2	:	:	PUNCT
ap-2074	252	3	10.1016/0003	10.1016/0003	NUM
ap-2074	252	4	-	-	SYM
ap-2074	252	5	4916(83)90284	4916(83)90284	NUM
ap-2074	252	6	-	-	SYM
ap-2074	252	7	1	1	NUM
ap-2074	252	8	[	[	X
ap-2074	252	9	2	2	NUM
ap-2074	252	10	]	]	PUNCT
ap-2074	252	11	j.	j.	PROPN
ap-2074	252	12	s.	s.	PROPN
ap-2074	252	13	arponen	arponen	PROPN
ap-2074	252	14	,	,	PUNCT
ap-2074	252	15	r.	r.	PROPN
ap-2074	252	16	f.	f.	PROPN
ap-2074	252	17	bishop	bishop	PROPN
ap-2074	252	18	and	and	CCONJ
ap-2074	252	19	e.	e.	PROPN
ap-2074	252	20	pajanne	pajanne	PROPN
ap-2074	252	21	.	.	PROPN
ap-2074	253	1	extended	extend	VERB
ap-2074	253	2	coupled	couple	VERB
ap-2074	253	3	-	-	PUNCT
ap-2074	253	4	cluster	cluster	NOUN
ap-2074	253	5	method	method	NOUN
ap-2074	253	6	.	.	PUNCT
ap-2074	254	1	i.	i.	PROPN
ap-2074	254	2	generalized	generalize	VERB
ap-2074	254	3	coherent	coherent	ADJ
ap-2074	254	4	bosonization	bosonization	NOUN
ap-2074	254	5	as	as	ADP
ap-2074	254	6	a	a	DET
ap-2074	254	7	mapping	mapping	NOUN
ap-2074	254	8	of	of	ADP
ap-2074	254	9	quantum	quantum	ADJ
ap-2074	254	10	theory	theory	NOUN
ap-2074	254	11	into	into	ADP
ap-2074	254	12	classsical	classsical	ADJ
ap-2074	254	13	hamiltonian	hamiltonian	ADJ
ap-2074	254	14	mechanics	mechanic	NOUN
ap-2074	254	15	.	.	PUNCT
ap-2074	255	1	phys	phy	NOUN
ap-2074	255	2	.	.	PUNCT
ap-2074	256	1	rev	rev	PROPN
ap-2074	256	2	.	.	PUNCT
ap-2074	257	1	a	a	DET
ap-2074	257	2	36	36	NUM
ap-2074	257	3	:	:	SYM
ap-2074	257	4	2519–2538	2519–2538	NUM
ap-2074	257	5	,	,	PUNCT
ap-2074	257	6	1987	1987	NUM
ap-2074	257	7	.	.	PUNCT
ap-2074	258	1	doi	doi	NOUN
ap-2074	258	2	:	:	PUNCT
ap-2074	258	3	10.1103	10.1103	NUM
ap-2074	258	4	/	/	SYM
ap-2074	258	5	physreva.36.2519	physreva.36.2519	ADJ
ap-2074	259	1	[	[	X
ap-2074	259	2	3	3	NUM
ap-2074	259	3	]	]	PUNCT
ap-2074	259	4	r.	r.	PROPN
ap-2074	259	5	f.	f.	PROPN
ap-2074	259	6	bishop	bishop	PROPN
ap-2074	259	7	.	.	PUNCT
ap-2074	260	1	an	an	DET
ap-2074	260	2	overview	overview	NOUN
ap-2074	260	3	of	of	ADP
ap-2074	260	4	coupled	couple	VERB
ap-2074	260	5	cluster	cluster	NOUN
ap-2074	260	6	theory	theory	NOUN
ap-2074	260	7	and	and	CCONJ
ap-2074	260	8	its	its	PRON
ap-2074	260	9	applications	application	NOUN
ap-2074	260	10	in	in	ADP
ap-2074	260	11	physics	physics	PROPN
ap-2074	260	12	.	.	PUNCT
ap-2074	261	1	theor	theor	PROPN
ap-2074	261	2	.	.	PUNCT
ap-2074	262	1	chim	chim	PROPN
ap-2074	262	2	.	.	PUNCT
ap-2074	263	1	acta	acta	PROPN
ap-2074	263	2	80	80	NUM
ap-2074	263	3	:	:	PUNCT
ap-2074	264	1	95–148	95–148	NUM
ap-2074	264	2	,	,	PUNCT
ap-2074	264	3	1991	1991	NUM
ap-2074	264	4	;	;	PUNCT
ap-2074	264	5	doi	doi	NOUN
ap-2074	264	6	:	:	PUNCT
ap-2074	264	7	10.1007	10.1007	NUM
ap-2074	264	8	/	/	SYM
ap-2074	264	9	bf01119617	bf01119617	PROPN
ap-2074	264	10	r.	r.	PROPN
ap-2074	264	11	f.	f.	PROPN
ap-2074	264	12	bishop	bishop	PROPN
ap-2074	264	13	.	.	PUNCT
ap-2074	265	1	the	the	DET
ap-2074	265	2	coupled	couple	VERB
ap-2074	265	3	cluster	cluster	NOUN
ap-2074	265	4	method	method	NOUN
ap-2074	265	5	.	.	PUNCT
ap-2074	266	1	inmicroscopic	inmicroscopic	ADJ
ap-2074	266	2	quantum	quantum	ADJ
ap-2074	266	3	many	many	ADJ
ap-2074	266	4	-	-	PUNCT
ap-2074	266	5	body	body	NOUN
ap-2074	266	6	theories	theory	NOUN
ap-2074	266	7	and	and	CCONJ
ap-2074	266	8	their	their	PRON
ap-2074	266	9	applications	application	NOUN
ap-2074	266	10	,	,	PUNCT
ap-2074	266	11	springer	springer	NOUN
ap-2074	266	12	lecture	lecture	NOUN
ap-2074	266	13	notes	note	NOUN
ap-2074	266	14	in	in	ADP
ap-2074	266	15	physics	physics	NOUN
ap-2074	266	16	vol	vol	NOUN
ap-2074	266	17	.	.	PUNCT
ap-2074	267	1	510	510	NUM
ap-2074	267	2	,	,	PUNCT
ap-2074	267	3	ed	ed	PROPN
ap-2074	267	4	j.	j.	PROPN
ap-2074	267	5	navarro	navarro	PROPN
ap-2074	267	6	and	and	CCONJ
ap-2074	267	7	a.	a.	NOUN
ap-2074	267	8	polls	poll	NOUN
ap-2074	267	9	,	,	PUNCT
ap-2074	267	10	pp	pp	ADV
ap-2074	267	11	.	.	PUNCT
ap-2074	268	1	1	1	NUM
ap-2074	268	2	-	-	SYM
ap-2074	268	3	70	70	NUM
ap-2074	268	4	.	.	PUNCT
ap-2074	268	5	springer	springer	NOUN
ap-2074	268	6	-	-	PUNCT
ap-2074	268	7	verlag	verlag	PROPN
ap-2074	268	8	,	,	PUNCT
ap-2074	268	9	berlin	berlin	PROPN
ap-2074	268	10	,	,	PUNCT
ap-2074	268	11	1998	1998	NUM
ap-2074	268	12	.	.	PUNCT
ap-2074	269	1	[	[	X
ap-2074	269	2	4	4	X
ap-2074	269	3	]	]	PUNCT
ap-2074	269	4	f.	f.	PROPN
ap-2074	269	5	g.	g.	PROPN
ap-2074	269	6	scholtz	scholtz	PROPN
ap-2074	269	7	,	,	PUNCT
ap-2074	269	8	h.	h.	PROPN
ap-2074	269	9	b.	b.	PROPN
ap-2074	269	10	geyer	geyer	PROPN
ap-2074	269	11	and	and	CCONJ
ap-2074	269	12	f.	f.	PROPN
ap-2074	269	13	j.	j.	PROPN
ap-2074	269	14	w.	w.	PROPN
ap-2074	269	15	hahne	hahne	PROPN
ap-2074	269	16	.	.	PUNCT
ap-2074	270	1	quasi	quasi	ADJ
ap-2074	270	2	-	-	ADJ
ap-2074	270	3	hermitian	hermitian	ADJ
ap-2074	270	4	operators	operator	NOUN
ap-2074	270	5	in	in	ADP
ap-2074	270	6	quantum	quantum	ADJ
ap-2074	270	7	mechanics	mechanic	NOUN
ap-2074	270	8	and	and	CCONJ
ap-2074	270	9	the	the	DET
ap-2074	270	10	variational	variational	ADJ
ap-2074	270	11	principle	principle	NOUN
ap-2074	270	12	.	.	PUNCT
ap-2074	271	1	ann	ann	PROPN
ap-2074	271	2	.	.	PUNCT
ap-2074	272	1	phys	phys	PROPN
ap-2074	272	2	.	.	PUNCT
ap-2074	273	1	(	(	PUNCT
ap-2074	273	2	ny	ny	NOUN
ap-2074	273	3	)	)	PUNCT
ap-2074	273	4	213	213	NUM
ap-2074	273	5	:	:	PUNCT
ap-2074	273	6	74–101	74–101	NUM
ap-2074	273	7	,	,	PUNCT
ap-2074	273	8	1992	1992	NUM
ap-2074	273	9	.	.	PUNCT
ap-2074	274	1	doi	doi	NOUN
ap-2074	274	2	:	:	PUNCT
ap-2074	274	3	10.1016/0003	10.1016/0003	NUM
ap-2074	274	4	-	-	NOUN
ap-2074	274	5	4916(92)90284	4916(92)90284	NUM
ap-2074	274	6	-	-	PUNCT
ap-2074	274	7	s	s	X
ap-2074	274	8	[	[	X
ap-2074	274	9	5	5	NUM
ap-2074	274	10	]	]	PUNCT
ap-2074	274	11	m.	m.	NOUN
ap-2074	274	12	znojil	znojil	PROPN
ap-2074	274	13	.	.	PUNCT
ap-2074	275	1	three	three	NUM
ap-2074	275	2	-	-	PUNCT
ap-2074	275	3	hilbert	hilbert	NOUN
ap-2074	275	4	-	-	PUNCT
ap-2074	275	5	space	space	NOUN
ap-2074	275	6	formulation	formulation	NOUN
ap-2074	275	7	of	of	ADP
ap-2074	275	8	quantum	quantum	ADJ
ap-2074	275	9	mechanics	mechanic	NOUN
ap-2074	275	10	.	.	PUNCT
ap-2074	276	1	sigma	sigma	PROPN
ap-2074	276	2	5	5	NUM
ap-2074	276	3	:	:	SYM
ap-2074	276	4	001	001	NUM
ap-2074	276	5	,	,	PUNCT
ap-2074	276	6	2009	2009	NUM
ap-2074	276	7	(	(	PUNCT
ap-2074	276	8	arxiv	arxiv	PROPN
ap-2074	276	9	overlay	overlay	NOUN
ap-2074	276	10	:	:	PUNCT
ap-2074	276	11	0901.0700	0901.0700	NOUN
ap-2074	276	12	)	)	PUNCT
ap-2074	276	13	.	.	PUNCT
ap-2074	277	1	doi	doi	NOUN
ap-2074	277	2	:	:	PUNCT
ap-2074	277	3	10.3842	10.3842	NUM
ap-2074	277	4	/	/	SYM
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ap-2074	278	3	]	]	PUNCT
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ap-2074	303	2	:	:	PUNCT
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ap-2074	303	4	,	,	PUNCT
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ap-2074	303	6	.	.	PUNCT
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ap-2074	305	6	bender	bender	PROPN
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ap-2074	309	2	:	:	SYM
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ap-2074	310	2	:	:	PUNCT
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ap-2074	317	2	:	:	PUNCT
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ap-2074	352	2	.	.	PUNCT
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ap-2074	353	5	,	,	PUNCT
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ap-2074	353	7	.	.	PUNCT
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ap-2074	354	2	:	:	PUNCT
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ap-2074	355	3	-	-	PUNCT
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ap-2074	356	11	.	.	PUNCT
ap-2074	357	1	phys	phy	NOUN
ap-2074	357	2	.	.	PUNCT
ap-2074	358	1	rev	rev	PROPN
ap-2074	358	2	.	.	PUNCT
ap-2074	359	1	a	a	DET
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ap-2074	359	3	:	:	SYM
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ap-2074	359	5	,	,	PUNCT
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ap-2074	359	7	.	.	PUNCT
ap-2074	360	1	doi	doi	NOUN
ap-2074	360	2	:	:	PUNCT
ap-2074	360	3	10.1103	10.1103	NUM
ap-2074	360	4	/	/	SYM
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ap-2074	361	1	[	[	X
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ap-2074	361	3	]	]	PUNCT
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ap-2074	361	5	s.	s.	PROPN
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ap-2074	361	7	,	,	PUNCT
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ap-2074	361	12	e.	e.	PROPN
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ap-2074	361	14	.	.	PUNCT
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ap-2074	362	7	-	-	PUNCT
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ap-2074	362	10	.	.	PUNCT
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ap-2074	363	5	-	-	PUNCT
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ap-2074	363	8	in	in	ADP
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ap-2074	363	11	extended	extended	ADJ
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ap-2074	363	13	(	(	PUNCT
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ap-2074	363	15	lecture	lecture	NOUN
ap-2074	363	16	notes	note	NOUN
ap-2074	363	17	in	in	ADP
ap-2074	363	18	chemistry	chemistry	NOUN
ap-2074	363	19	,	,	PUNCT
ap-2074	363	20	vol	vol	NOUN
ap-2074	363	21	.	.	PROPN
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ap-2074	364	2	,	,	PUNCT
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ap-2074	364	8	,	,	PUNCT
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ap-2074	364	10	.	.	PUNCT
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ap-2074	365	2	.	.	PUNCT
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ap-2074	365	4	-	-	PUNCT
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ap-2074	365	7	berlijn	berlijn	NOUN
ap-2074	365	8	,	,	PUNCT
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ap-2074	365	10	.	.	PUNCT
ap-2074	366	1	doi	doi	NOUN
ap-2074	366	2	:	:	PUNCT
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ap-2074	366	4	-	-	SYM
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ap-2074	366	6	-	-	PUNCT
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ap-2074	366	8	-	-	PUNCT
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ap-2074	366	10	-	-	SYM
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ap-2074	366	12	[	[	SYM
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ap-2074	367	3	approach	approach	NOUN
ap-2074	367	4	to	to	ADP
ap-2074	367	5	the	the	DET
ap-2074	367	6	phase	phase	NOUN
ap-2074	367	7	space	space	NOUN
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ap-2074	367	9	the	the	DET
ap-2074	367	10	coupled	couple	VERB
ap-2074	367	11	-	-	PUNCT
ap-2074	367	12	cluster	cluster	NOUN
ap-2074	367	13	method	method	NOUN
ap-2074	367	14	.	.	PUNCT
ap-2074	368	1	phys	phy	NOUN
ap-2074	368	2	.	.	PUNCT
ap-2074	369	1	rev	rev	PROPN
ap-2074	369	2	.	.	PUNCT
ap-2074	370	1	a	a	DET
ap-2074	370	2	55	55	NUM
ap-2074	370	3	:	:	SYM
ap-2074	370	4	2686–2700	2686–2700	NUM
ap-2074	370	5	,	,	PUNCT
ap-2074	370	6	1997	1997	NUM
ap-2074	370	7	.	.	PUNCT
ap-2074	371	1	doi	doi	NOUN
ap-2074	371	2	:	:	PUNCT
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ap-2074	371	4	/	/	SYM
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ap-2074	371	10	http://dx.doi.org/10.1016/0003-4916(92)90284-s	http://dx.doi.org/10.1016/0003-4916(92)90284-s	X
ap-2074	371	11	http://dx.doi.org/10.3842/sigma.2009.001	http://dx.doi.org/10.3842/sigma.2009.001	X
ap-2074	371	12	http://dx.doi.org/10.1088/1751-8113/41/24/244026	http://dx.doi.org/10.1088/1751-8113/41/24/244026	X
ap-2074	371	13	http://dx.doi.org/10.1016/0375-9474(71)90122-9	http://dx.doi.org/10.1016/0375-9474(71)90122-9	VERB
ap-2074	371	14	http://dx.doi.org/10.1103/physrevlett.80.5243	http://dx.doi.org/10.1103/physrevlett.80.5243	PROPN
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ap-2074	371	22	http://dx.doi.org/10.1103/physreva.83.042111	http://dx.doi.org/10.1103/physreva.83.042111	PROPN
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ap-2074	371	24	http://dx.doi.org/10.1007/978-3-642-61330-2_4	http://dx.doi.org/10.1007/978-3-642-61330-2_4	PROPN
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ap-2074	372	2	acta	acta	PROPN
ap-2074	372	3	polytechnica	polytechnica	PROPN
ap-2074	372	4	54(2):85–92	54(2):85–92	NUM
ap-2074	372	5	,	,	PUNCT
ap-2074	372	6	2014	2014	NUM
ap-2074	372	7	1	1	NUM
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ap-2074	372	9	2	2	NUM
ap-2074	372	10	ths	th	NOUN
ap-2074	372	11	representation	representation	NOUN
ap-2074	372	12	of	of	ADP
ap-2074	372	13	a	a	DET
ap-2074	372	14	quantum	quantum	ADJ
ap-2074	372	15	system	system	NOUN
ap-2074	372	16	2.1	2.1	NUM
ap-2074	372	17	inspiration	inspiration	NOUN
ap-2074	372	18	:	:	PUNCT
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ap-2074	372	32	-	-	ADJ
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ap-2074	372	34	ibm	ibm	PROPN
ap-2074	372	35	method	method	NOUN
ap-2074	372	36	2.2.2	2.2.2	NUM
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ap-2074	372	38	-	-	PUNCT
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ap-2074	372	43	the	the	DET
ap-2074	372	44	complex	complex	ADJ
ap-2074	372	45	energy	energy	NOUN
ap-2074	372	46	spectra	spectra	NOUN
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ap-2074	373	3	the	the	DET
ap-2074	373	4	infinite	infinite	ADJ
ap-2074	373	5	-	-	PUNCT
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ap-2074	373	12	references	reference	NOUN