id	sid	tid	token	lemma	pos
ap-1819	1	1	acta	acta	PROPN
ap-1819	1	2	polytechnica	polytechnica	PROPN
ap-1819	1	3	acta	acta	PROPN
ap-1819	1	4	polytechnica	polytechnica	PROPN
ap-1819	1	5	53(3):317–321	53(3):317–321	PROPN
ap-1819	1	6	,	,	PUNCT
ap-1819	1	7	2013	2013	NUM
ap-1819	1	8	©	©	PROPN
ap-1819	1	9	czech	czech	PROPN
ap-1819	1	10	technical	technical	PROPN
ap-1819	1	11	university	university	PROPN
ap-1819	1	12	in	in	ADP
ap-1819	1	13	prague	prague	PROPN
ap-1819	1	14	,	,	PUNCT
ap-1819	1	15	2013	2013	NUM
ap-1819	1	16	available	available	ADJ
ap-1819	1	17	online	online	ADV
ap-1819	1	18	at	at	ADP
ap-1819	1	19	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-1819	1	20	non	non	ADJ
ap-1819	1	21	-	-	ADJ
ap-1819	1	22	hermitian	hermitian	ADJ
ap-1819	1	23	star	star	NOUN
ap-1819	1	24	-	-	PUNCT
ap-1819	1	25	shaped	shape	VERB
ap-1819	1	26	quantum	quantum	NOUN
ap-1819	1	27	graphs	graph	NOUN
ap-1819	1	28	miloslav	miloslav	NOUN
ap-1819	1	29	znojil∗	znojil∗	PROPN
ap-1819	1	30	nuclear	nuclear	PROPN
ap-1819	1	31	physics	physics	PROPN
ap-1819	1	32	institute	institute	PROPN
ap-1819	1	33	ascr	ascr	NOUN
ap-1819	1	34	,	,	PUNCT
ap-1819	1	35	250	250	NUM
ap-1819	1	36	68	68	NUM
ap-1819	1	37	řež	řež	NOUN
ap-1819	1	38	,	,	PUNCT
ap-1819	1	39	czech	czech	PROPN
ap-1819	1	40	republic	republic	NOUN
ap-1819	1	41	∗	∗	NOUN
ap-1819	1	42	corresponding	correspond	VERB
ap-1819	1	43	author	author	NOUN
ap-1819	1	44	:	:	PUNCT
ap-1819	1	45	znojil@ujf.cas.cz	znojil@ujf.cas.cz	NOUN
ap-1819	1	46	abstract	abstract	ADJ
ap-1819	1	47	.	.	PUNCT
ap-1819	2	1	a	a	DET
ap-1819	2	2	compact	compact	ADJ
ap-1819	2	3	review	review	NOUN
ap-1819	2	4	is	be	AUX
ap-1819	2	5	given	give	VERB
ap-1819	2	6	,	,	PUNCT
ap-1819	2	7	and	and	CCONJ
ap-1819	2	8	a	a	DET
ap-1819	2	9	few	few	ADJ
ap-1819	2	10	new	new	ADJ
ap-1819	2	11	numerical	numerical	ADJ
ap-1819	2	12	results	result	NOUN
ap-1819	2	13	are	be	AUX
ap-1819	2	14	added	add	VERB
ap-1819	2	15	to	to	ADP
ap-1819	2	16	the	the	DET
ap-1819	2	17	recent	recent	ADJ
ap-1819	2	18	studies	study	NOUN
ap-1819	2	19	of	of	ADP
ap-1819	2	20	the	the	DET
ap-1819	2	21	q	q	NOUN
ap-1819	2	22	-	-	PUNCT
ap-1819	2	23	pointed	point	VERB
ap-1819	2	24	one	one	NUM
ap-1819	2	25	-	-	PUNCT
ap-1819	2	26	dimensional	dimensional	ADJ
ap-1819	2	27	star	star	NOUN
ap-1819	2	28	-	-	PUNCT
ap-1819	2	29	shaped	shape	VERB
ap-1819	2	30	quantum	quantum	NOUN
ap-1819	2	31	graphs	graph	NOUN
ap-1819	2	32	.	.	PUNCT
ap-1819	3	1	these	these	DET
ap-1819	3	2	graphs	graph	NOUN
ap-1819	3	3	are	be	AUX
ap-1819	3	4	assumed	assume	VERB
ap-1819	3	5	endowed	endow	VERB
ap-1819	3	6	with	with	ADP
ap-1819	3	7	certain	certain	ADJ
ap-1819	3	8	specific	specific	ADJ
ap-1819	3	9	,	,	PUNCT
ap-1819	3	10	manifestly	manifestly	ADV
ap-1819	3	11	non	non	ADJ
ap-1819	3	12	-	-	ADJ
ap-1819	3	13	hermitian	hermitian	ADJ
ap-1819	3	14	point	point	NOUN
ap-1819	3	15	interactions	interaction	NOUN
ap-1819	3	16	,	,	PUNCT
ap-1819	3	17	localized	localize	VERB
ap-1819	3	18	either	either	CCONJ
ap-1819	3	19	in	in	ADP
ap-1819	3	20	the	the	DET
ap-1819	3	21	inner	inner	ADJ
ap-1819	3	22	vertex	vertex	NOUN
ap-1819	3	23	or	or	CCONJ
ap-1819	3	24	in	in	ADP
ap-1819	3	25	all	all	PRON
ap-1819	3	26	of	of	ADP
ap-1819	3	27	the	the	DET
ap-1819	3	28	outer	outer	ADJ
ap-1819	3	29	vertices	vertex	NOUN
ap-1819	3	30	and	and	CCONJ
ap-1819	3	31	carrying	carrying	NOUN
ap-1819	3	32	,	,	PUNCT
ap-1819	3	33	in	in	ADP
ap-1819	3	34	the	the	DET
ap-1819	3	35	latter	latter	ADJ
ap-1819	3	36	case	case	NOUN
ap-1819	3	37	,	,	PUNCT
ap-1819	3	38	an	an	DET
ap-1819	3	39	interesting	interesting	ADJ
ap-1819	3	40	zero	zero	NUM
ap-1819	3	41	-	-	PUNCT
ap-1819	3	42	inflow	inflow	NOUN
ap-1819	3	43	interpretation	interpretation	NOUN
ap-1819	3	44	.	.	PUNCT
ap-1819	4	1	keywords	keyword	NOUN
ap-1819	4	2	:	:	PUNCT
ap-1819	4	3	quantum	quantum	ADJ
ap-1819	4	4	observables	observable	NOUN
ap-1819	4	5	,	,	PUNCT
ap-1819	4	6	hidden	hide	VERB
ap-1819	4	7	hermiticity	hermiticity	NOUN
ap-1819	4	8	,	,	PUNCT
ap-1819	4	9	non	non	ADJ
ap-1819	4	10	-	-	ADJ
ap-1819	4	11	local	local	ADJ
ap-1819	4	12	inner	inner	ADJ
ap-1819	4	13	products	product	NOUN
ap-1819	4	14	,	,	PUNCT
ap-1819	4	15	smearing	smear	VERB
ap-1819	4	16	requirement	requirement	NOUN
ap-1819	4	17	,	,	PUNCT
ap-1819	4	18	discretized	discretized	ADJ
ap-1819	4	19	coordinates	coordinate	NOUN
ap-1819	4	20	,	,	PUNCT
ap-1819	4	21	exactly	exactly	ADV
ap-1819	4	22	solvable	solvable	ADJ
ap-1819	4	23	quantum	quantum	NOUN
ap-1819	4	24	graphs	graph	NOUN
ap-1819	4	25	.	.	PUNCT
ap-1819	5	1	1	1	X
ap-1819	5	2	.	.	X
ap-1819	5	3	the	the	DET
ap-1819	5	4	concept	concept	NOUN
ap-1819	5	5	of	of	ADP
ap-1819	5	6	quantum	quantum	NOUN
ap-1819	5	7	graphs	graph	NOUN
ap-1819	5	8	the	the	DET
ap-1819	5	9	scope	scope	NOUN
ap-1819	5	10	of	of	ADP
ap-1819	5	11	the	the	DET
ap-1819	5	12	traditional	traditional	ADJ
ap-1819	5	13	quantum	quantum	NOUN
ap-1819	5	14	theory	theory	NOUN
ap-1819	5	15	is	be	AUX
ap-1819	5	16	currently	currently	ADV
ap-1819	5	17	being	be	AUX
ap-1819	5	18	broadened	broaden	VERB
ap-1819	5	19	to	to	PART
ap-1819	5	20	cover	cover	VERB
ap-1819	5	21	not	not	PART
ap-1819	5	22	only	only	ADV
ap-1819	5	23	the	the	DET
ap-1819	5	24	1d	1d	NUM
ap-1819	5	25	motion	motion	NOUN
ap-1819	5	26	of	of	ADP
ap-1819	5	27	(	(	PUNCT
ap-1819	5	28	quasi)particles	quasi)particle	NOUN
ap-1819	5	29	,	,	PUNCT
ap-1819	5	30	say	say	VERB
ap-1819	5	31	,	,	PUNCT
ap-1819	5	32	along	along	ADP
ap-1819	5	33	a	a	DET
ap-1819	5	34	single	single	ADJ
ap-1819	5	35	thin	thin	ADJ
ap-1819	5	36	wire	wire	NOUN
ap-1819	5	37	but	but	CCONJ
ap-1819	5	38	also	also	ADV
ap-1819	5	39	along	along	ADP
ap-1819	5	40	the	the	DET
ap-1819	5	41	more	more	ADV
ap-1819	5	42	complicated	complicated	ADJ
ap-1819	5	43	one	one	NUM
ap-1819	5	44	-	-	PUNCT
ap-1819	5	45	dimensional	dimensional	ADJ
ap-1819	5	46	graph	graph	NOUN
ap-1819	5	47	-	-	PUNCT
ap-1819	5	48	shaped	shape	VERB
ap-1819	5	49	structures	structure	NOUN
ap-1819	5	50	g	g	NOUN
ap-1819	5	51	which	which	PRON
ap-1819	5	52	are	be	AUX
ap-1819	5	53	,	,	PUNCT
ap-1819	5	54	by	by	ADP
ap-1819	5	55	definition	definition	NOUN
ap-1819	5	56	,	,	PUNCT
ap-1819	5	57	composed	compose	VERB
ap-1819	5	58	of	of	ADP
ap-1819	5	59	some	some	DET
ap-1819	5	60	nw	nw	PROPN
ap-1819	5	61	(	(	PUNCT
ap-1819	5	62	finite	finite	NOUN
ap-1819	5	63	or	or	CCONJ
ap-1819	5	64	semi	semi	ADJ
ap-1819	5	65	-	-	ADJ
ap-1819	5	66	infinite	infinite	ADJ
ap-1819	5	67	)	)	PUNCT
ap-1819	5	68	wedges	wedge	NOUN
ap-1819	5	69	which	which	PRON
ap-1819	5	70	may	may	AUX
ap-1819	5	71	—	—	PUNCT
ap-1819	5	72	though	though	SCONJ
ap-1819	5	73	need	need	VERB
ap-1819	5	74	not	not	PART
ap-1819	5	75	—	—	PUNCT
ap-1819	5	76	be	be	AUX
ap-1819	5	77	connected	connect	VERB
ap-1819	5	78	at	at	ADP
ap-1819	5	79	some	some	PRON
ap-1819	5	80	of	of	ADP
ap-1819	5	81	the	the	DET
ap-1819	5	82	elements	element	NOUN
ap-1819	5	83	of	of	ADP
ap-1819	5	84	the	the	DET
ap-1819	5	85	given	give	VERB
ap-1819	5	86	set	set	NOUN
ap-1819	5	87	of	of	ADP
ap-1819	5	88	nv	nv	PROPN
ap-1819	5	89	vertices	vertex	NOUN
ap-1819	5	90	.	.	PUNCT
ap-1819	6	1	under	under	ADP
ap-1819	6	2	the	the	DET
ap-1819	6	3	influence	influence	NOUN
ap-1819	6	4	of	of	ADP
ap-1819	6	5	the	the	DET
ap-1819	6	6	contemporary	contemporary	ADJ
ap-1819	6	7	solid	solid	ADJ
ap-1819	6	8	-	-	PUNCT
ap-1819	6	9	state	state	NOUN
ap-1819	6	10	technologies	technology	NOUN
ap-1819	6	11	these	these	DET
ap-1819	6	12	structures	structure	NOUN
ap-1819	6	13	may	may	AUX
ap-1819	6	14	be	be	AUX
ap-1819	6	15	realized	realize	VERB
ap-1819	6	16	as	as	ADP
ap-1819	6	17	ultrathin	ultrathin	NOUN
ap-1819	6	18	1d	1d	NUM
ap-1819	6	19	-	-	PUNCT
ap-1819	6	20	like	like	ADJ
ap-1819	6	21	waveguides	waveguide	NOUN
ap-1819	6	22	with	with	ADP
ap-1819	6	23	nontrivial	nontrivial	ADJ
ap-1819	6	24	topological	topological	ADJ
ap-1819	6	25	,	,	PUNCT
ap-1819	6	26	geometrical	geometrical	ADJ
ap-1819	6	27	and/or	and/or	CCONJ
ap-1819	6	28	physical	physical	ADJ
ap-1819	6	29	properties	property	NOUN
ap-1819	6	30	.	.	PUNCT
ap-1819	7	1	nowadays	nowadays	ADV
ap-1819	7	2	,	,	PUNCT
ap-1819	7	3	there	there	PRON
ap-1819	7	4	exists	exist	VERB
ap-1819	7	5	an	an	DET
ap-1819	7	6	extensive	extensive	ADJ
ap-1819	7	7	literature	literature	NOUN
ap-1819	7	8	on	on	ADP
ap-1819	7	9	the	the	DET
ap-1819	7	10	subject	subject	NOUN
ap-1819	7	11	(	(	PUNCT
ap-1819	7	12	cf	cf	NOUN
ap-1819	7	13	.	.	NOUN
ap-1819	7	14	,	,	PUNCT
ap-1819	7	15	e.g.	e.g.	ADV
ap-1819	7	16	,	,	PUNCT
ap-1819	7	17	[	[	X
ap-1819	7	18	1	1	NUM
ap-1819	7	19	]	]	PUNCT
ap-1819	7	20	)	)	PUNCT
ap-1819	7	21	.	.	PUNCT
ap-1819	8	1	from	from	ADP
ap-1819	8	2	the	the	DET
ap-1819	8	3	formal	formal	ADJ
ap-1819	8	4	point	point	NOUN
ap-1819	8	5	of	of	ADP
ap-1819	8	6	view	view	NOUN
ap-1819	8	7	,	,	PUNCT
ap-1819	8	8	one	one	NUM
ap-1819	8	9	of	of	ADP
ap-1819	8	10	the	the	DET
ap-1819	8	11	key	key	ADJ
ap-1819	8	12	features	feature	NOUN
ap-1819	8	13	of	of	ADP
ap-1819	8	14	these	these	DET
ap-1819	8	15	structures	structure	NOUN
ap-1819	8	16	is	be	AUX
ap-1819	8	17	the	the	DET
ap-1819	8	18	necessity	necessity	NOUN
ap-1819	8	19	of	of	ADP
ap-1819	8	20	their	their	PRON
ap-1819	8	21	description	description	NOUN
ap-1819	8	22	using	use	VERB
ap-1819	8	23	the	the	DET
ap-1819	8	24	formalism	formalism	NOUN
ap-1819	8	25	of	of	ADP
ap-1819	8	26	quantum	quantum	ADJ
ap-1819	8	27	mechanics	mechanic	NOUN
ap-1819	8	28	.	.	PUNCT
ap-1819	9	1	this	this	DET
ap-1819	9	2	necessity	necessity	NOUN
ap-1819	9	3	opens	open	VERB
ap-1819	9	4	,	,	PUNCT
ap-1819	9	5	naturally	naturally	ADV
ap-1819	9	6	,	,	PUNCT
ap-1819	9	7	a	a	DET
ap-1819	9	8	number	number	NOUN
ap-1819	9	9	of	of	ADP
ap-1819	9	10	challenging	challenging	ADJ
ap-1819	9	11	questions	question	NOUN
ap-1819	9	12	which	which	DET
ap-1819	9	13	concern	concern	NOUN
ap-1819	9	14	both	both	CCONJ
ap-1819	9	15	the	the	DET
ap-1819	9	16	kinematics	kinematic	NOUN
ap-1819	9	17	(	(	PUNCT
ap-1819	9	18	for	for	ADP
ap-1819	9	19	this	this	DET
ap-1819	9	20	reason	reason	NOUN
ap-1819	9	21	,	,	PUNCT
ap-1819	9	22	in	in	ADP
ap-1819	9	23	a	a	DET
ap-1819	9	24	typical	typical	ADJ
ap-1819	9	25	quantum	quantum	NOUN
ap-1819	9	26	graph	graph	NOUN
ap-1819	9	27	model	model	NOUN
ap-1819	9	28	one	one	NUM
ap-1819	9	29	assumes	assume	VERB
ap-1819	9	30	a	a	DET
ap-1819	9	31	free	free	ADJ
ap-1819	9	32	motion	motion	NOUN
ap-1819	9	33	along	along	ADP
ap-1819	9	34	the	the	DET
ap-1819	9	35	interior	interior	NOUN
ap-1819	9	36	of	of	ADP
ap-1819	9	37	the	the	DET
ap-1819	9	38	edges	edge	NOUN
ap-1819	9	39	)	)	PUNCT
ap-1819	9	40	and	and	CCONJ
ap-1819	9	41	the	the	DET
ap-1819	9	42	dynamics	dynamic	NOUN
ap-1819	9	43	(	(	PUNCT
ap-1819	9	44	most	most	ADV
ap-1819	9	45	often	often	ADV
ap-1819	9	46	,	,	PUNCT
ap-1819	9	47	one	one	PRON
ap-1819	9	48	uses	uses	AUX
ap-1819	9	49	just	just	ADV
ap-1819	9	50	point	point	VERB
ap-1819	9	51	interactions	interaction	NOUN
ap-1819	9	52	which	which	PRON
ap-1819	9	53	are	be	AUX
ap-1819	9	54	localized	localize	VERB
ap-1819	9	55	strictly	strictly	ADV
ap-1819	9	56	at	at	ADP
ap-1819	9	57	the	the	DET
ap-1819	9	58	vertices	vertex	NOUN
ap-1819	9	59	)	)	PUNCT
ap-1819	9	60	.	.	PUNCT
ap-1819	10	1	2	2	X
ap-1819	10	2	.	.	X
ap-1819	10	3	the	the	DET
ap-1819	10	4	concept	concept	NOUN
ap-1819	10	5	of	of	ADP
ap-1819	10	6	crypto	crypto	NOUN
ap-1819	10	7	-	-	NOUN
ap-1819	10	8	hermiticity	hermiticity	NOUN
ap-1819	10	9	one	one	NUM
ap-1819	10	10	of	of	ADP
ap-1819	10	11	the	the	DET
ap-1819	10	12	most	most	ADV
ap-1819	10	13	interesting	interesting	ADJ
ap-1819	10	14	mathematical	mathematical	ADJ
ap-1819	10	15	questions	question	NOUN
ap-1819	10	16	addressed	address	VERB
ap-1819	10	17	in	in	ADP
ap-1819	10	18	the	the	DET
ap-1819	10	19	quantum	quantum	NOUN
ap-1819	10	20	-	-	PUNCT
ap-1819	10	21	graph	graph	NOUN
ap-1819	10	22	context	context	NOUN
ap-1819	10	23	concerns	concern	NOUN
ap-1819	10	24	the	the	DET
ap-1819	10	25	proofs	proof	NOUN
ap-1819	10	26	or	or	CCONJ
ap-1819	10	27	the	the	DET
ap-1819	10	28	sufficient	sufficient	ADJ
ap-1819	10	29	conditions	condition	NOUN
ap-1819	10	30	of	of	ADP
ap-1819	10	31	the	the	DET
ap-1819	10	32	self	self	NOUN
ap-1819	10	33	-	-	PUNCT
ap-1819	10	34	adjoint	adjoint	NOUN
ap-1819	10	35	nature	nature	NOUN
ap-1819	10	36	of	of	ADP
ap-1819	10	37	the	the	DET
ap-1819	10	38	corresponding	corresponding	ADJ
ap-1819	10	39	hamiltonian	hamiltonian	ADJ
ap-1819	10	40	h	h	NOUN
ap-1819	10	41	=	=	PUNCT
ap-1819	10	42	h(g	h(g	PROPN
ap-1819	10	43	)	)	PUNCT
ap-1819	10	44	in	in	ADP
ap-1819	10	45	a	a	DET
ap-1819	10	46	pre	pre	ADJ
ap-1819	10	47	-	-	VERB
ap-1819	10	48	selected	select	VERB
ap-1819	10	49	,	,	PUNCT
ap-1819	10	50	sufficiently	sufficiently	ADV
ap-1819	10	51	“	"	PUNCT
ap-1819	10	52	friendly	friendly	ADJ
ap-1819	10	53	”	"	PUNCT
ap-1819	10	54	hilbert	hilbert	NOUN
ap-1819	10	55	space	space	NOUN
ap-1819	10	56	h(f	h(f	PROPN
ap-1819	10	57	)	)	PUNCT
ap-1819	10	58	of	of	ADP
ap-1819	10	59	states	state	NOUN
ap-1819	10	60	.	.	PUNCT
ap-1819	11	1	recently	recently	ADV
ap-1819	11	2	,	,	PUNCT
ap-1819	11	3	a	a	DET
ap-1819	11	4	new	new	ADJ
ap-1819	11	5	approach	approach	NOUN
ap-1819	11	6	to	to	ADP
ap-1819	11	7	this	this	DET
ap-1819	11	8	type	type	NOUN
ap-1819	11	9	of	of	ADP
ap-1819	11	10	problems	problem	NOUN
ap-1819	11	11	(	(	PUNCT
ap-1819	11	12	carrying	carry	VERB
ap-1819	11	13	a	a	DET
ap-1819	11	14	nickname	nickname	NOUN
ap-1819	11	15	of	of	ADP
ap-1819	11	16	pt	pt	X
ap-1819	11	17	−symmetric	−symmetric	ADJ
ap-1819	11	18	quantum	quantum	NOUN
ap-1819	11	19	mechanics	mechanic	NOUN
ap-1819	11	20	)	)	PUNCT
ap-1819	11	21	has	have	AUX
ap-1819	11	22	been	be	AUX
ap-1819	11	23	advocated	advocate	VERB
ap-1819	11	24	and	and	CCONJ
ap-1819	11	25	made	make	VERB
ap-1819	11	26	popular	popular	ADJ
ap-1819	11	27	by	by	ADP
ap-1819	11	28	carl	carl	PROPN
ap-1819	11	29	bender	bender	PROPN
ap-1819	11	30	with	with	ADP
ap-1819	11	31	multiple	multiple	ADJ
ap-1819	11	32	coauthors	coauthor	NOUN
ap-1819	11	33	(	(	PUNCT
ap-1819	11	34	cf	cf	NOUN
ap-1819	11	35	.	.	PUNCT
ap-1819	12	1	review	review	NOUN
ap-1819	13	1	[	[	X
ap-1819	13	2	2	2	NUM
ap-1819	13	3	]	]	NUM
ap-1819	13	4	)	)	PUNCT
ap-1819	13	5	.	.	PUNCT
ap-1819	14	1	the	the	DET
ap-1819	14	2	mathematical	mathematical	ADJ
ap-1819	14	3	essence	essence	NOUN
ap-1819	14	4	of	of	ADP
ap-1819	14	5	their	their	PRON
ap-1819	14	6	recommendation	recommendation	NOUN
ap-1819	14	7	may	may	AUX
ap-1819	14	8	be	be	AUX
ap-1819	14	9	seen	see	VERB
ap-1819	14	10	in	in	ADP
ap-1819	14	11	the	the	DET
ap-1819	14	12	replacement	replacement	NOUN
ap-1819	14	13	of	of	ADP
ap-1819	14	14	the	the	DET
ap-1819	14	15	a	a	PRON
ap-1819	14	16	priori	priori	ADV
ap-1819	14	17	selected	select	VERB
ap-1819	14	18	friendly	friendly	ADJ
ap-1819	14	19	or	or	CCONJ
ap-1819	14	20	“	"	PUNCT
ap-1819	14	21	first	first	ADJ
ap-1819	14	22	”	"	PUNCT
ap-1819	14	23	hilbert	hilbert	NOUN
ap-1819	14	24	space	space	NOUN
ap-1819	14	25	h(f	h(f	PROPN
ap-1819	14	26	)	)	PUNCT
ap-1819	14	27	by	by	ADP
ap-1819	14	28	another	another	PRON
ap-1819	14	29	,	,	PUNCT
ap-1819	14	30	ad	ad	X
ap-1819	14	31	hoc	hoc	X
ap-1819	14	32	and	and	CCONJ
ap-1819	14	33	hamiltonian	hamiltonian	ADJ
ap-1819	14	34	-	-	PUNCT
ap-1819	14	35	dependent	dependent	ADJ
ap-1819	14	36	“	"	PUNCT
ap-1819	14	37	second	second	ADJ
ap-1819	14	38	”	"	PUNCT
ap-1819	14	39	hilbert	hilbert	NOUN
ap-1819	14	40	space	space	NOUN
ap-1819	14	41	h(s	h(s	PROPN
ap-1819	14	42	)	)	PUNCT
ap-1819	14	43	which	which	PRON
ap-1819	14	44	only	only	ADV
ap-1819	14	45	differs	differ	VERB
ap-1819	14	46	from	from	ADP
ap-1819	14	47	h(f	h(f	PROPN
ap-1819	14	48	)	)	PUNCT
ap-1819	14	49	by	by	ADP
ap-1819	14	50	a	a	DET
ap-1819	14	51	redefinition	redefinition	NOUN
ap-1819	14	52	of	of	ADP
ap-1819	14	53	the	the	DET
ap-1819	14	54	inner	inner	ADJ
ap-1819	14	55	product	product	NOUN
ap-1819	14	56	defined	define	VERB
ap-1819	14	57	in	in	ADP
ap-1819	14	58	terms	term	NOUN
ap-1819	14	59	of	of	ADP
ap-1819	14	60	an	an	DET
ap-1819	14	61	operator	operator	NOUN
ap-1819	14	62	θ	θ	PROPN
ap-1819	14	63	called	call	VERB
ap-1819	14	64	“	"	PUNCT
ap-1819	14	65	hilbert	hilbert	NOUN
ap-1819	14	66	space	space	NOUN
ap-1819	14	67	metric	metric	NOUN
ap-1819	14	68	”	"	PUNCT
ap-1819	14	69	,	,	PUNCT
ap-1819	14	70	〈	〈	PROPN
ap-1819	14	71	φ|ψ〉(s	φ|ψ〉(s	PROPN
ap-1819	14	72	)	)	PUNCT
ap-1819	14	73	:	:	PUNCT
ap-1819	15	1	=	=	PUNCT
ap-1819	15	2	〈	〈	PROPN
ap-1819	15	3	φ|θ|ψ〉(f	φ|θ|ψ〉(f	X
ap-1819	15	4	)	)	PUNCT
ap-1819	15	5	≡	≡	PROPN
ap-1819	15	6	〈	〈	PROPN
ap-1819	15	7	〈	〈	PROPN
ap-1819	15	8	φ|ψ〉(f	φ|ψ〉(f	NUM
ap-1819	15	9	)	)	PUNCT
ap-1819	15	10	(	(	PUNCT
ap-1819	15	11	1	1	X
ap-1819	15	12	)	)	PUNCT
ap-1819	15	13	(	(	PUNCT
ap-1819	15	14	we	we	PRON
ap-1819	15	15	use	use	VERB
ap-1819	15	16	the	the	DET
ap-1819	15	17	dirac	dirac	NOUN
ap-1819	15	18	-	-	PUNCT
ap-1819	15	19	like	like	ADJ
ap-1819	15	20	notation	notation	NOUN
ap-1819	15	21	conventions	convention	NOUN
ap-1819	15	22	as	as	SCONJ
ap-1819	15	23	introduced	introduce	VERB
ap-1819	15	24	and	and	CCONJ
ap-1819	15	25	used	use	VERB
ap-1819	15	26	in	in	ADP
ap-1819	15	27	compact	compact	ADJ
ap-1819	15	28	reviews	review	NOUN
ap-1819	15	29	[	[	X
ap-1819	15	30	3–5	3–5	NOUN
ap-1819	15	31	]	]	PUNCT
ap-1819	15	32	)	)	PUNCT
ap-1819	15	33	.	.	PUNCT
ap-1819	16	1	as	as	ADP
ap-1819	16	2	an	an	DET
ap-1819	16	3	immediate	immediate	ADJ
ap-1819	16	4	consequence	consequence	NOUN
ap-1819	16	5	one	one	NUM
ap-1819	16	6	reveals	reveal	NOUN
ap-1819	16	7	,	,	PUNCT
ap-1819	16	8	in	in	ADP
ap-1819	16	9	general	general	ADJ
ap-1819	16	10	,	,	PUNCT
ap-1819	16	11	that	that	SCONJ
ap-1819	16	12	one	one	PRON
ap-1819	16	13	may	may	AUX
ap-1819	16	14	define	define	VERB
ap-1819	16	15	a	a	DET
ap-1819	16	16	generic	generic	ADJ
ap-1819	16	17	quantum	quantum	NOUN
ap-1819	16	18	system	system	NOUN
ap-1819	16	19	by	by	ADP
ap-1819	16	20	a	a	DET
ap-1819	16	21	doublet	doublet	NOUN
ap-1819	16	22	of	of	ADP
ap-1819	16	23	operators	operator	NOUN
ap-1819	16	24	(	(	PUNCT
ap-1819	16	25	i.e.	i.e.	X
ap-1819	16	26	,	,	PUNCT
ap-1819	16	27	by	by	ADP
ap-1819	16	28	the	the	DET
ap-1819	16	29	hamiltonian	hamiltonian	ADJ
ap-1819	16	30	h	h	NOUN
ap-1819	16	31	and	and	CCONJ
ap-1819	16	32	metric	metric	ADJ
ap-1819	16	33	θ	θ	NOUN
ap-1819	16	34	)	)	PUNCT
ap-1819	16	35	which	which	PRON
ap-1819	16	36	only	only	ADV
ap-1819	16	37	have	have	VERB
ap-1819	16	38	to	to	PART
ap-1819	16	39	satisfy	satisfy	VERB
ap-1819	16	40	the	the	DET
ap-1819	16	41	following	follow	VERB
ap-1819	16	42	generalized	generalized	ADJ
ap-1819	16	43	version	version	NOUN
ap-1819	16	44	of	of	ADP
ap-1819	16	45	the	the	DET
ap-1819	16	46	standard	standard	ADJ
ap-1819	16	47	and	and	CCONJ
ap-1819	16	48	necessary	necessary	ADJ
ap-1819	16	49	hermiticity	hermiticity	NOUN
ap-1819	16	50	requirement	requirement	NOUN
ap-1819	16	51	h†θ	h†θ	PROPN
ap-1819	16	52	=	=	SYM
ap-1819	16	53	θh	θh	NOUN
ap-1819	16	54	,	,	PUNCT
ap-1819	16	55	0	0	PUNCT
ap-1819	16	56	<	<	X
ap-1819	16	57	θ	θ	PROPN
ap-1819	16	58	=	=	PUNCT
ap-1819	16	59	θ†	θ†	PROPN
ap-1819	16	60	<	<	X
ap-1819	16	61	∞	∞	PROPN
ap-1819	16	62	,	,	PUNCT
ap-1819	16	63	(	(	PUNCT
ap-1819	16	64	2	2	X
ap-1819	16	65	)	)	PUNCT
ap-1819	16	66	which	which	PRON
ap-1819	16	67	may	may	AUX
ap-1819	16	68	be	be	AUX
ap-1819	16	69	called	call	VERB
ap-1819	16	70	a	a	DET
ap-1819	16	71	“	"	PUNCT
ap-1819	16	72	disguised	disguised	ADJ
ap-1819	16	73	”	"	PUNCT
ap-1819	16	74	hermiticity	hermiticity	NOUN
ap-1819	16	75	or	or	CCONJ
ap-1819	16	76	crypto	crypto	NOUN
ap-1819	16	77	-	-	NOUN
ap-1819	16	78	hermiticity	hermiticity	NOUN
ap-1819	16	79	[	[	X
ap-1819	16	80	6	6	NUM
ap-1819	16	81	]	]	PUNCT
ap-1819	16	82	.	.	PUNCT
ap-1819	17	1	the	the	DET
ap-1819	17	2	introduction	introduction	NOUN
ap-1819	17	3	of	of	ADP
ap-1819	17	4	this	this	DET
ap-1819	17	5	concept	concept	NOUN
ap-1819	17	6	may	may	AUX
ap-1819	17	7	be	be	AUX
ap-1819	17	8	attributed	attribute	VERB
ap-1819	17	9	,	,	PUNCT
ap-1819	17	10	historically	historically	ADV
ap-1819	17	11	,	,	PUNCT
ap-1819	17	12	to	to	ADP
ap-1819	17	13	dieudonné	dieudonné	NOUN
ap-1819	17	14	[	[	X
ap-1819	17	15	7	7	NUM
ap-1819	17	16	]	]	PUNCT
ap-1819	17	17	and	and	CCONJ
ap-1819	17	18	,	,	PUNCT
ap-1819	17	19	in	in	ADP
ap-1819	17	20	the	the	DET
ap-1819	17	21	context	context	NOUN
ap-1819	17	22	of	of	ADP
ap-1819	17	23	(	(	PUNCT
ap-1819	17	24	nuclear	nuclear	ADJ
ap-1819	17	25	)	)	PUNCT
ap-1819	17	26	physics	physics	NOUN
ap-1819	17	27	,	,	PUNCT
ap-1819	17	28	to	to	PART
ap-1819	17	29	scholtz	scholtz	VERB
ap-1819	17	30	et	et	NOUN
ap-1819	17	31	al	al	PROPN
ap-1819	18	1	[	[	X
ap-1819	18	2	8	8	NUM
ap-1819	18	3	]	]	PUNCT
ap-1819	18	4	.	.	PUNCT
ap-1819	19	1	3	3	X
ap-1819	19	2	.	.	X
ap-1819	19	3	the	the	DET
ap-1819	19	4	concept	concept	NOUN
ap-1819	19	5	of	of	ADP
ap-1819	19	6	crypto	crypto	ADJ
ap-1819	19	7	-	-	ADJ
ap-1819	19	8	hermitian	hermitian	ADJ
ap-1819	19	9	quantum	quantum	NOUN
ap-1819	19	10	graphs	graph	NOUN
ap-1819	19	11	even	even	ADV
ap-1819	19	12	for	for	ADP
ap-1819	19	13	the	the	DET
ap-1819	19	14	most	most	ADV
ap-1819	19	15	trivial	trivial	ADJ
ap-1819	19	16	,	,	PUNCT
ap-1819	19	17	nw	nw	NOUN
ap-1819	19	18	=	=	SYM
ap-1819	19	19	1	1	NUM
ap-1819	19	20	quantum	quantum	NOUN
ap-1819	19	21	graphs	graph	NOUN
ap-1819	19	22	with	with	ADP
ap-1819	19	23	g	g	NOUN
ap-1819	19	24	=	=	NOUN
ap-1819	19	25	r	r	NOUN
ap-1819	19	26	it	it	PRON
ap-1819	19	27	is	be	AUX
ap-1819	19	28	by	by	ADP
ap-1819	19	29	far	far	ADV
ap-1819	19	30	not	not	PART
ap-1819	19	31	easy	easy	ADJ
ap-1819	19	32	to	to	PART
ap-1819	19	33	satisfy	satisfy	VERB
ap-1819	19	34	the	the	DET
ap-1819	19	35	selfconsistency	selfconsistency	ADJ
ap-1819	19	36	condition	condition	NOUN
ap-1819	19	37	(	(	PUNCT
ap-1819	19	38	2	2	NUM
ap-1819	19	39	)	)	PUNCT
ap-1819	19	40	.	.	PUNCT
ap-1819	20	1	in	in	ADP
ap-1819	20	2	essence	essence	NOUN
ap-1819	20	3	,	,	PUNCT
ap-1819	20	4	two	two	NUM
ap-1819	20	5	technical	technical	ADJ
ap-1819	20	6	problems	problem	NOUN
ap-1819	20	7	are	be	AUX
ap-1819	20	8	being	be	AUX
ap-1819	20	9	encountered	encounter	VERB
ap-1819	20	10	.	.	PUNCT
ap-1819	21	1	firstly	firstly	ADV
ap-1819	21	2	,	,	PUNCT
ap-1819	21	3	we	we	PRON
ap-1819	21	4	must	must	AUX
ap-1819	21	5	guarantee	guarantee	VERB
ap-1819	21	6	that	that	SCONJ
ap-1819	21	7	the	the	DET
ap-1819	21	8	energy	energy	NOUN
ap-1819	21	9	spectrum	spectrum	NOUN
ap-1819	21	10	of	of	ADP
ap-1819	21	11	our	our	PRON
ap-1819	21	12	hamiltonian	hamiltonian	NOUN
ap-1819	21	13	is	be	AUX
ap-1819	21	14	real	real	ADJ
ap-1819	21	15	(	(	PUNCT
ap-1819	21	16	this	this	PRON
ap-1819	21	17	is	be	AUX
ap-1819	21	18	necessary	necessary	ADJ
ap-1819	21	19	for	for	ADP
ap-1819	21	20	probabilistic	probabilistic	ADJ
ap-1819	21	21	interpretation	interpretation	NOUN
ap-1819	21	22	/	/	SYM
ap-1819	21	23	tractability	tractability	NOUN
ap-1819	21	24	but	but	CCONJ
ap-1819	21	25	,	,	PUNCT
ap-1819	21	26	generically	generically	ADV
ap-1819	21	27	,	,	PUNCT
ap-1819	21	28	the	the	DET
ap-1819	21	29	proof	proof	NOUN
ap-1819	21	30	is	be	AUX
ap-1819	21	31	difficult	difficult	ADJ
ap-1819	21	32	—	—	PUNCT
ap-1819	21	33	see	see	VERB
ap-1819	21	34	[	[	X
ap-1819	21	35	9	9	X
ap-1819	21	36	]	]	PUNCT
ap-1819	21	37	for	for	ADP
ap-1819	21	38	an	an	DET
ap-1819	21	39	illustrative	illustrative	ADJ
ap-1819	21	40	example	example	NOUN
ap-1819	21	41	)	)	PUNCT
ap-1819	21	42	.	.	PUNCT
ap-1819	22	1	secondly	secondly	ADV
ap-1819	22	2	,	,	PUNCT
ap-1819	22	3	the	the	DET
ap-1819	22	4	compatibility	compatibility	NOUN
ap-1819	22	5	(	(	PUNCT
ap-1819	22	6	2	2	NUM
ap-1819	22	7	)	)	PUNCT
ap-1819	22	8	between	between	ADP
ap-1819	22	9	h	h	NOUN
ap-1819	22	10	and	and	CCONJ
ap-1819	22	11	θ	θ	PROPN
ap-1819	22	12	(	(	PUNCT
ap-1819	22	13	studied	study	VERB
ap-1819	22	14	,	,	PUNCT
ap-1819	22	15	most	most	ADV
ap-1819	22	16	often	often	ADV
ap-1819	22	17	,	,	PUNCT
ap-1819	22	18	as	as	ADP
ap-1819	22	19	a	a	DET
ap-1819	22	20	brute	brute	ADJ
ap-1819	22	21	-	-	PUNCT
ap-1819	22	22	force	force	NOUN
ap-1819	22	23	construction	construction	NOUN
ap-1819	22	24	of	of	ADP
ap-1819	22	25	θ	θ	PROPN
ap-1819	22	26	=	=	PUNCT
ap-1819	22	27	θ(h	θ(h	PROPN
ap-1819	22	28	)	)	PUNCT
ap-1819	22	29	)	)	PUNCT
ap-1819	22	30	is	be	AUX
ap-1819	22	31	usually	usually	ADV
ap-1819	22	32	not	not	PART
ap-1819	22	33	an	an	DET
ap-1819	22	34	easy	easy	ADJ
ap-1819	22	35	task	task	NOUN
ap-1819	22	36	,	,	PUNCT
ap-1819	22	37	either	either	CCONJ
ap-1819	22	38	(	(	PUNCT
ap-1819	22	39	for	for	ADP
ap-1819	22	40	the	the	DET
ap-1819	22	41	above	above	ADV
ap-1819	22	42	-	-	PUNCT
ap-1819	22	43	mentioned	mention	VERB
ap-1819	22	44	example	example	NOUN
ap-1819	22	45	,	,	PUNCT
ap-1819	22	46	just	just	ADV
ap-1819	22	47	various	various	ADJ
ap-1819	22	48	tedious	tedious	ADJ
ap-1819	22	49	approximative	approximative	ADJ
ap-1819	22	50	constructions	construction	NOUN
ap-1819	22	51	may	may	AUX
ap-1819	22	52	be	be	AUX
ap-1819	22	53	found	find	VERB
ap-1819	22	54	in	in	ADP
ap-1819	22	55	the	the	DET
ap-1819	22	56	literature	literature	NOUN
ap-1819	22	57	—	—	PUNCT
ap-1819	22	58	cf	cf	NOUN
ap-1819	22	59	.	.	PUNCT
ap-1819	23	1	[	[	X
ap-1819	23	2	10	10	NUM
ap-1819	23	3	]	]	NUM
ap-1819	23	4	)	)	PUNCT
ap-1819	23	5	.	.	PUNCT
ap-1819	24	1	317	317	NUM
ap-1819	24	2	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	ADJ
ap-1819	24	3	miloslav	miloslav	NOUN
ap-1819	24	4	znojil	znojil	PROPN
ap-1819	24	5	acta	acta	PROPN
ap-1819	24	6	polytechnica	polytechnica	PROPN
ap-1819	24	7	figure	figure	NOUN
ap-1819	24	8	1	1	NUM
ap-1819	24	9	.	.	PUNCT
ap-1819	25	1	a	a	DET
ap-1819	25	2	typical	typical	ADJ
ap-1819	25	3	six	six	NUM
ap-1819	25	4	-	-	PUNCT
ap-1819	25	5	pointed	point	VERB
ap-1819	25	6	star	star	NOUN
ap-1819	25	7	graph	graph	NOUN
ap-1819	25	8	.	.	PUNCT
ap-1819	26	1	this	this	PRON
ap-1819	26	2	being	be	AUX
ap-1819	26	3	said	say	VERB
ap-1819	26	4	,	,	PUNCT
ap-1819	26	5	one	one	NUM
ap-1819	26	6	of	of	ADP
ap-1819	26	7	the	the	DET
ap-1819	26	8	most	most	ADV
ap-1819	26	9	efficient	efficient	ADJ
ap-1819	26	10	ways	way	NOUN
ap-1819	26	11	of	of	ADP
ap-1819	26	12	addressing	address	VERB
ap-1819	26	13	these	these	DET
ap-1819	26	14	technical	technical	ADJ
ap-1819	26	15	challenges	challenge	NOUN
ap-1819	26	16	has	have	AUX
ap-1819	26	17	been	be	AUX
ap-1819	26	18	described	describe	VERB
ap-1819	26	19	in	in	ADP
ap-1819	26	20	[	[	X
ap-1819	26	21	11	11	NUM
ap-1819	26	22	]	]	PUNCT
ap-1819	26	23	and	and	CCONJ
ap-1819	26	24	generalized	generalize	VERB
ap-1819	26	25	,	,	PUNCT
ap-1819	26	26	to	to	ADP
ap-1819	26	27	nontrivial	nontrivial	ADJ
ap-1819	26	28	graphs	graph	NOUN
ap-1819	26	29	,	,	PUNCT
ap-1819	26	30	in	in	ADP
ap-1819	26	31	its	its	PRON
ap-1819	26	32	sequel	sequel	NOUN
ap-1819	26	33	[	[	X
ap-1819	26	34	12	12	NUM
ap-1819	26	35	]	]	PUNCT
ap-1819	26	36	.	.	PUNCT
ap-1819	27	1	the	the	DET
ap-1819	27	2	guiding	guide	VERB
ap-1819	27	3	idea	idea	NOUN
ap-1819	27	4	lied	lie	VERB
ap-1819	27	5	in	in	ADP
ap-1819	27	6	the	the	DET
ap-1819	27	7	discretization	discretization	NOUN
ap-1819	27	8	of	of	ADP
ap-1819	27	9	the	the	DET
ap-1819	27	10	graphs	graph	NOUN
ap-1819	27	11	(	(	PUNCT
ap-1819	27	12	see	see	VERB
ap-1819	27	13	also	also	ADV
ap-1819	27	14	[	[	X
ap-1819	27	15	13	13	NUM
ap-1819	27	16	]	]	PUNCT
ap-1819	27	17	for	for	ADP
ap-1819	27	18	a	a	DET
ap-1819	27	19	deeper	deep	ADJ
ap-1819	27	20	analysis	analysis	NOUN
ap-1819	27	21	and	and	CCONJ
ap-1819	27	22	discussion	discussion	NOUN
ap-1819	27	23	of	of	ADP
ap-1819	27	24	this	this	DET
ap-1819	27	25	technique	technique	NOUN
ap-1819	27	26	)	)	PUNCT
ap-1819	27	27	.	.	PUNCT
ap-1819	28	1	its	its	PRON
ap-1819	28	2	use	use	NOUN
ap-1819	28	3	opened	open	VERB
ap-1819	28	4	also	also	ADV
ap-1819	28	5	the	the	DET
ap-1819	28	6	successful	successful	ADJ
ap-1819	28	7	transition	transition	NOUN
ap-1819	28	8	to	to	ADP
ap-1819	28	9	the	the	DET
ap-1819	28	10	description	description	NOUN
ap-1819	28	11	of	of	ADP
ap-1819	28	12	some	some	DET
ap-1819	28	13	topologically	topologically	ADV
ap-1819	28	14	nontrivial	nontrivial	ADJ
ap-1819	28	15	graphs	graph	NOUN
ap-1819	28	16	in	in	ADP
ap-1819	28	17	[	[	X
ap-1819	28	18	14	14	NUM
ap-1819	28	19	]	]	PUNCT
ap-1819	28	20	.	.	PUNCT
ap-1819	29	1	unfortunately	unfortunately	ADV
ap-1819	29	2	,	,	PUNCT
ap-1819	29	3	for	for	ADP
ap-1819	29	4	the	the	DET
ap-1819	29	5	topologically	topologically	ADV
ap-1819	29	6	more	more	ADV
ap-1819	29	7	complicated	complicated	ADJ
ap-1819	29	8	crypto	crypto	ADJ
ap-1819	29	9	-	-	ADJ
ap-1819	29	10	hermitian	hermitian	ADJ
ap-1819	29	11	graphs	graph	NOUN
ap-1819	29	12	,	,	PUNCT
ap-1819	29	13	the	the	DET
ap-1819	29	14	advantages	advantage	NOUN
ap-1819	29	15	of	of	ADP
ap-1819	29	16	the	the	DET
ap-1819	29	17	discretization	discretization	NOUN
ap-1819	29	18	technique	technique	NOUN
ap-1819	29	19	(	(	PUNCT
ap-1819	29	20	which	which	PRON
ap-1819	29	21	,	,	PUNCT
ap-1819	29	22	basically	basically	ADV
ap-1819	29	23	,	,	PUNCT
ap-1819	29	24	converted	convert	VERB
ap-1819	29	25	the	the	DET
ap-1819	29	26	underlying	underlie	VERB
ap-1819	29	27	schrödinger	schrödinger	ADJ
ap-1819	29	28	equation	equation	NOUN
ap-1819	29	29	into	into	ADP
ap-1819	29	30	a	a	DET
ap-1819	29	31	finite	finite	ADJ
ap-1819	29	32	-	-	ADJ
ap-1819	29	33	dimensional	dimensional	ADJ
ap-1819	29	34	matrix	matrix	NOUN
ap-1819	29	35	problem	problem	NOUN
ap-1819	29	36	)	)	PUNCT
ap-1819	29	37	proved	prove	VERB
ap-1819	29	38	more	more	ADV
ap-1819	29	39	or	or	CCONJ
ap-1819	29	40	less	less	ADV
ap-1819	29	41	lost	lose	VERB
ap-1819	29	42	due	due	ADP
ap-1819	29	43	to	to	ADP
ap-1819	29	44	the	the	DET
ap-1819	29	45	growth	growth	NOUN
ap-1819	29	46	of	of	ADP
ap-1819	29	47	the	the	DET
ap-1819	29	48	difficulties	difficulty	NOUN
ap-1819	29	49	caused	cause	VERB
ap-1819	29	50	by	by	ADP
ap-1819	29	51	the	the	DET
ap-1819	29	52	necessity	necessity	NOUN
ap-1819	29	53	of	of	ADP
ap-1819	29	54	finding	find	VERB
ap-1819	29	55	a	a	DET
ap-1819	29	56	suitable	suitable	ADJ
ap-1819	29	57	metric	metric	ADJ
ap-1819	29	58	θ	θ	NOUN
ap-1819	29	59	=	=	PUNCT
ap-1819	29	60	θ(h	θ(h	PROPN
ap-1819	29	61	)	)	PUNCT
ap-1819	29	62	.	.	PUNCT
ap-1819	30	1	in	in	ADP
ap-1819	30	2	this	this	DET
ap-1819	30	3	sense	sense	NOUN
ap-1819	30	4	,	,	PUNCT
ap-1819	30	5	the	the	DET
ap-1819	30	6	discrete	discrete	ADJ
ap-1819	30	7	elementary	elementary	ADJ
ap-1819	30	8	solvable	solvable	ADJ
ap-1819	30	9	examples	example	NOUN
ap-1819	30	10	as	as	SCONJ
ap-1819	30	11	described	describe	VERB
ap-1819	30	12	in	in	ADP
ap-1819	30	13	[	[	X
ap-1819	30	14	11	11	NUM
ap-1819	30	15	,	,	PUNCT
ap-1819	30	16	12	12	NUM
ap-1819	30	17	]	]	PUNCT
ap-1819	30	18	appeared	appear	VERB
ap-1819	30	19	exceptional	exceptional	ADJ
ap-1819	30	20	and	and	CCONJ
ap-1819	30	21	exceptionally	exceptionally	ADV
ap-1819	30	22	friendly	friendly	ADJ
ap-1819	30	23	.	.	PUNCT
ap-1819	31	1	for	for	ADP
ap-1819	31	2	this	this	DET
ap-1819	31	3	reason	reason	NOUN
ap-1819	31	4	we	we	PRON
ap-1819	31	5	returned	return	VERB
ap-1819	31	6	,	,	PUNCT
ap-1819	31	7	recently	recently	ADV
ap-1819	31	8	,	,	PUNCT
ap-1819	31	9	to	to	ADP
ap-1819	31	10	the	the	DET
ap-1819	31	11	study	study	NOUN
ap-1819	31	12	of	of	ADP
ap-1819	31	13	the	the	DET
ap-1819	31	14	continuous	continuous	ADJ
ap-1819	31	15	quantum	quantum	NOUN
ap-1819	31	16	graphs	graph	NOUN
ap-1819	31	17	again	again	ADV
ap-1819	31	18	.	.	PUNCT
ap-1819	32	1	in	in	ADP
ap-1819	32	2	order	order	NOUN
ap-1819	32	3	to	to	PART
ap-1819	32	4	keep	keep	VERB
ap-1819	32	5	them	they	PRON
ap-1819	32	6	tractable	tractable	ADJ
ap-1819	32	7	nonnumerically	nonnumerically	ADV
ap-1819	32	8	,	,	PUNCT
ap-1819	32	9	we	we	PRON
ap-1819	32	10	restricted	restrict	VERB
ap-1819	32	11	our	our	PRON
ap-1819	32	12	attention	attention	NOUN
ap-1819	32	13	to	to	ADP
ap-1819	32	14	the	the	DET
ap-1819	32	15	mere	mere	ADJ
ap-1819	32	16	topologically	topologically	ADV
ap-1819	32	17	trivial	trivial	ADJ
ap-1819	32	18	,	,	PUNCT
ap-1819	32	19	star	star	NOUN
ap-1819	32	20	-	-	PUNCT
ap-1819	32	21	shaped	shape	VERB
ap-1819	32	22	graphs	graph	NOUN
ap-1819	32	23	in	in	ADP
ap-1819	32	24	[	[	X
ap-1819	32	25	15	15	NUM
ap-1819	32	26	]	]	PUNCT
ap-1819	32	27	.	.	PUNCT
ap-1819	33	1	here	here	ADV
ap-1819	33	2	we	we	PRON
ap-1819	33	3	intend	intend	VERB
ap-1819	33	4	to	to	PART
ap-1819	33	5	recall	recall	VERB
ap-1819	33	6	one	one	NUM
ap-1819	33	7	of	of	ADP
ap-1819	33	8	these	these	DET
ap-1819	33	9	models	model	NOUN
ap-1819	33	10	and	and	CCONJ
ap-1819	33	11	add	add	VERB
ap-1819	33	12	a	a	DET
ap-1819	33	13	few	few	ADJ
ap-1819	33	14	comments	comment	NOUN
ap-1819	33	15	,	,	PUNCT
ap-1819	33	16	yielding	yield	VERB
ap-1819	33	17	the	the	DET
ap-1819	33	18	conclusion	conclusion	NOUN
ap-1819	33	19	that	that	SCONJ
ap-1819	33	20	the	the	DET
ap-1819	33	21	study	study	NOUN
ap-1819	33	22	of	of	ADP
ap-1819	33	23	the	the	DET
ap-1819	33	24	pt	pt	PROPN
ap-1819	33	25	−symmetric	−symmetric	ADJ
ap-1819	33	26	quantum	quantum	NOUN
ap-1819	33	27	graphs	graph	NOUN
ap-1819	33	28	may	may	AUX
ap-1819	33	29	be	be	AUX
ap-1819	33	30	made	make	VERB
ap-1819	33	31	sufficiently	sufficiently	ADV
ap-1819	33	32	friendly	friendly	ADJ
ap-1819	33	33	not	not	PART
ap-1819	33	34	only	only	ADV
ap-1819	33	35	via	via	ADP
ap-1819	33	36	the	the	DET
ap-1819	33	37	simplification	simplification	NOUN
ap-1819	33	38	of	of	ADP
ap-1819	33	39	kinematics	kinematic	NOUN
ap-1819	33	40	(	(	PUNCT
ap-1819	33	41	i.e.	i.e.	X
ap-1819	33	42	,	,	PUNCT
ap-1819	33	43	by	by	ADP
ap-1819	33	44	the	the	DET
ap-1819	33	45	discretization	discretization	NOUN
ap-1819	33	46	of	of	ADP
ap-1819	33	47	the	the	DET
ap-1819	33	48	wedges	wedge	NOUN
ap-1819	33	49	)	)	PUNCT
ap-1819	33	50	but	but	CCONJ
ap-1819	33	51	also	also	ADV
ap-1819	33	52	via	via	ADP
ap-1819	33	53	the	the	DET
ap-1819	33	54	alternative	alternative	ADJ
ap-1819	33	55	extreme	extreme	ADJ
ap-1819	33	56	simplification	simplification	NOUN
ap-1819	33	57	of	of	ADP
ap-1819	33	58	dynamics	dynamic	NOUN
ap-1819	33	59	.	.	PUNCT
ap-1819	34	1	not	not	PART
ap-1819	34	2	realized	realize	VERB
ap-1819	34	3	by	by	ADP
ap-1819	34	4	the	the	DET
ap-1819	34	5	selection	selection	NOUN
ap-1819	34	6	of	of	ADP
ap-1819	34	7	the	the	DET
ap-1819	34	8	sufficiently	sufficiently	ADV
ap-1819	34	9	elementary	elementary	ADJ
ap-1819	34	10	form	form	NOUN
ap-1819	34	11	of	of	ADP
ap-1819	34	12	the	the	DET
ap-1819	34	13	graph	graph	NOUN
ap-1819	34	14	itself	itself	PRON
ap-1819	34	15	but	but	CCONJ
ap-1819	34	16	rather	rather	ADV
ap-1819	34	17	by	by	ADP
ap-1819	34	18	the	the	DET
ap-1819	34	19	use	use	NOUN
ap-1819	34	20	of	of	ADP
ap-1819	34	21	the	the	DET
ap-1819	34	22	symmetry	symmetry	NOUN
ap-1819	34	23	-	-	PUNCT
ap-1819	34	24	rich	rich	ADJ
ap-1819	34	25	point	point	NOUN
ap-1819	34	26	interactions	interaction	NOUN
ap-1819	34	27	at	at	ADP
ap-1819	34	28	the	the	DET
ap-1819	34	29	vertices	vertex	NOUN
ap-1819	34	30	.	.	PUNCT
ap-1819	35	1	4	4	X
ap-1819	35	2	.	.	X
ap-1819	35	3	the	the	DET
ap-1819	35	4	simplifications	simplification	NOUN
ap-1819	35	5	of	of	ADP
ap-1819	35	6	kinematics	kinematic	NOUN
ap-1819	35	7	during	during	ADP
ap-1819	35	8	the	the	DET
ap-1819	35	9	study	study	NOUN
ap-1819	35	10	of	of	ADP
ap-1819	35	11	the	the	DET
ap-1819	35	12	broad	broad	ADJ
ap-1819	35	13	variety	variety	NOUN
ap-1819	35	14	of	of	ADP
ap-1819	35	15	the	the	DET
ap-1819	35	16	graphsrelated	graphsrelate	VERB
ap-1819	35	17	open	open	ADJ
ap-1819	35	18	questions	question	NOUN
ap-1819	35	19	one	one	PRON
ap-1819	35	20	often	often	ADV
ap-1819	35	21	selects	select	VERB
ap-1819	35	22	the	the	DET
ap-1819	35	23	models	model	NOUN
ap-1819	35	24	where	where	SCONJ
ap-1819	35	25	the	the	DET
ap-1819	35	26	underlying	underlie	VERB
ap-1819	35	27	mathematics	mathematic	NOUN
ap-1819	35	28	is	be	AUX
ap-1819	35	29	simplified	simplify	VERB
ap-1819	35	30	,	,	PUNCT
ap-1819	35	31	to	to	ADP
ap-1819	35	32	its	its	PRON
ap-1819	35	33	very	very	ADV
ap-1819	35	34	core	core	NOUN
ap-1819	35	35	,	,	PUNCT
ap-1819	35	36	by	by	ADP
ap-1819	35	37	the	the	DET
ap-1819	35	38	replacement	replacement	NOUN
ap-1819	35	39	of	of	ADP
ap-1819	35	40	the	the	DET
ap-1819	35	41	real	real	ADJ
ap-1819	35	42	-	-	PUNCT
ap-1819	35	43	world	world	NOUN
ap-1819	35	44	problem	problem	NOUN
ap-1819	35	45	in	in	ADP
ap-1819	35	46	3d	3d	NUM
ap-1819	35	47	by	by	ADP
ap-1819	35	48	its	its	PRON
ap-1819	35	49	idealized	idealized	ADJ
ap-1819	35	50	representation	representation	NOUN
ap-1819	35	51	by	by	ADP
ap-1819	35	52	a	a	DET
ap-1819	35	53	piecewise	piecewise	NOUN
ap-1819	35	54	linear	linear	PROPN
ap-1819	35	55	1d	1d	NUM
ap-1819	35	56	graph	graph	NOUN
ap-1819	35	57	,	,	PUNCT
ap-1819	35	58	on	on	ADP
ap-1819	35	59	the	the	DET
ap-1819	35	60	wedges	wedge	NOUN
ap-1819	35	61	of	of	ADP
ap-1819	35	62	which	which	PRON
ap-1819	35	63	the	the	DET
ap-1819	35	64	hamiltonian	hamiltonian	NOUN
ap-1819	35	65	is	be	AUX
ap-1819	35	66	represented	represent	VERB
ap-1819	35	67	by	by	ADP
ap-1819	35	68	the	the	DET
ap-1819	35	69	laplacean	laplacean	PROPN
ap-1819	35	70	,	,	PUNCT
ap-1819	35	71	h	h	NOUN
ap-1819	35	72	∼	∼	NOUN
ap-1819	35	73	−4	−4	X
ap-1819	35	74	.	.	PUNCT
ap-1819	36	1	in	in	ADP
ap-1819	36	2	such	such	DET
ap-1819	36	3	a	a	DET
ap-1819	36	4	scenario	scenario	NOUN
ap-1819	36	5	one	one	NOUN
ap-1819	36	6	may	may	AUX
ap-1819	36	7	feel	feel	VERB
ap-1819	36	8	inspired	inspire	VERB
ap-1819	36	9	by	by	ADP
ap-1819	36	10	the	the	DET
ap-1819	36	11	simplest	simple	ADJ
ap-1819	36	12	systems	system	NOUN
ap-1819	36	13	which	which	PRON
ap-1819	36	14	live	live	VERB
ap-1819	36	15	on	on	ADP
ap-1819	36	16	the	the	DET
ap-1819	36	17	single	single	ADJ
ap-1819	36	18	straight	straight	ADJ
ap-1819	36	19	line	line	NOUN
ap-1819	36	20	which	which	PRON
ap-1819	36	21	may	may	AUX
ap-1819	36	22	be	be	AUX
ap-1819	36	23	finite	finite	ADJ
ap-1819	36	24	(	(	PUNCT
ap-1819	36	25	then	then	ADV
ap-1819	36	26	,	,	PUNCT
ap-1819	36	27	the	the	DET
ap-1819	36	28	system	system	NOUN
ap-1819	36	29	is	be	AUX
ap-1819	36	30	,	,	PUNCT
ap-1819	36	31	in	in	ADP
ap-1819	36	32	effect	effect	NOUN
ap-1819	36	33	,	,	PUNCT
ap-1819	36	34	a	a	DET
ap-1819	36	35	square	square	ADJ
ap-1819	36	36	well	well	NOUN
ap-1819	36	37	possessing	possess	VERB
ap-1819	36	38	just	just	ADV
ap-1819	36	39	bound	bind	VERB
ap-1819	36	40	states	state	NOUN
ap-1819	36	41	)	)	PUNCT
ap-1819	36	42	or	or	CCONJ
ap-1819	36	43	infinite	infinite	ADJ
ap-1819	36	44	(	(	PUNCT
ap-1819	36	45	then	then	ADV
ap-1819	36	46	,	,	PUNCT
ap-1819	36	47	one	one	PRON
ap-1819	36	48	usually	usually	ADV
ap-1819	36	49	speaks	speak	VERB
ap-1819	36	50	about	about	ADP
ap-1819	36	51	the	the	DET
ap-1819	36	52	one	one	NUM
ap-1819	36	53	-	-	PUNCT
ap-1819	36	54	dimensional	dimensional	ADJ
ap-1819	36	55	problem	problem	NOUN
ap-1819	36	56	of	of	ADP
ap-1819	36	57	scattering	scattering	NOUN
ap-1819	36	58	)	)	PUNCT
ap-1819	36	59	.	.	PUNCT
ap-1819	37	1	in	in	ADP
ap-1819	37	2	the	the	DET
ap-1819	37	3	most	most	ADV
ap-1819	37	4	natural	natural	ADJ
ap-1819	37	5	direction	direction	NOUN
ap-1819	37	6	of	of	ADP
ap-1819	37	7	a	a	DET
ap-1819	37	8	generalization	generalization	NOUN
ap-1819	37	9	of	of	ADP
ap-1819	37	10	the	the	DET
ap-1819	37	11	theory	theory	NOUN
ap-1819	37	12	one	one	NOUN
ap-1819	37	13	then	then	ADV
ap-1819	37	14	glues	glue	VERB
ap-1819	37	15	a	a	DET
ap-1819	37	16	q	q	NOUN
ap-1819	37	17	-	-	PUNCT
ap-1819	37	18	plet	plet	NOUN
ap-1819	37	19	of	of	ADP
ap-1819	37	20	half	half	ADJ
ap-1819	37	21	-	-	PUNCT
ap-1819	37	22	lines	line	NOUN
ap-1819	37	23	in	in	ADP
ap-1819	37	24	a	a	DET
ap-1819	37	25	single	single	ADJ
ap-1819	37	26	vertex	vertex	NOUN
ap-1819	37	27	and	and	CCONJ
ap-1819	37	28	arrives	arrive	VERB
ap-1819	37	29	at	at	ADP
ap-1819	37	30	the	the	DET
ap-1819	37	31	star	star	NOUN
ap-1819	37	32	-	-	PUNCT
ap-1819	37	33	shaped	shape	VERB
ap-1819	37	34	family	family	NOUN
ap-1819	37	35	of	of	ADP
ap-1819	37	36	graphs	graph	NOUN
ap-1819	37	37	g(q	g(q	NOUN
ap-1819	37	38	)	)	PUNCT
ap-1819	37	39	(	(	PUNCT
ap-1819	37	40	see	see	VERB
ap-1819	37	41	fig	fig	NOUN
ap-1819	37	42	.	.	PUNCT
ap-1819	38	1	1	1	NUM
ap-1819	39	1	where	where	SCONJ
ap-1819	39	2	q	q	NOUN
ap-1819	40	1	=	=	NOUN
ap-1819	41	1	6	6	NUM
ap-1819	42	1	and	and	CCONJ
ap-1819	42	2	where	where	SCONJ
ap-1819	42	3	all	all	PRON
ap-1819	42	4	of	of	ADP
ap-1819	42	5	the	the	DET
ap-1819	42	6	wedge	wedge	NOUN
ap-1819	42	7	lengths	length	NOUN
ap-1819	42	8	and	and	CCONJ
ap-1819	42	9	angular	angular	ADJ
ap-1819	42	10	distances	distance	NOUN
ap-1819	42	11	of	of	ADP
ap-1819	42	12	neighbors	neighbor	NOUN
ap-1819	42	13	are	be	AUX
ap-1819	42	14	equal	equal	ADJ
ap-1819	42	15	)	)	PUNCT
ap-1819	42	16	.	.	PUNCT
ap-1819	43	1	naturally	naturally	ADV
ap-1819	43	2	,	,	PUNCT
ap-1819	43	3	the	the	DET
ap-1819	43	4	main	main	ADJ
ap-1819	43	5	principles	principle	NOUN
ap-1819	43	6	of	of	ADP
ap-1819	43	7	quantum	quantum	ADJ
ap-1819	43	8	mechanics	mechanic	NOUN
ap-1819	43	9	remain	remain	VERB
ap-1819	43	10	unchanged	unchanged	ADJ
ap-1819	43	11	.	.	PUNCT
ap-1819	44	1	in	in	ADP
ap-1819	44	2	particular	particular	ADJ
ap-1819	44	3	,	,	PUNCT
ap-1819	44	4	the	the	DET
ap-1819	44	5	bound	bind	VERB
ap-1819	44	6	states	state	NOUN
ap-1819	44	7	living	live	VERB
ap-1819	44	8	on	on	ADP
ap-1819	44	9	a	a	DET
ap-1819	44	10	given	give	VERB
ap-1819	44	11	star	star	NOUN
ap-1819	44	12	graph	graph	NOUN
ap-1819	44	13	g(q	g(q	NOUN
ap-1819	44	14	)	)	PUNCT
ap-1819	44	15	will	will	AUX
ap-1819	44	16	be	be	AUX
ap-1819	44	17	represented	represent	VERB
ap-1819	44	18	by	by	ADP
ap-1819	44	19	the	the	DET
ap-1819	44	20	quadratically	quadratically	ADV
ap-1819	44	21	integrable	integrable	ADJ
ap-1819	44	22	wave	wave	NOUN
ap-1819	44	23	functions	function	NOUN
ap-1819	44	24	ψn(x	ψn(x	PART
ap-1819	44	25	)	)	PUNCT
ap-1819	44	26	∈	∈	PROPN
ap-1819	44	27	l2(g),∫	l2(g),∫	NOUN
ap-1819	44	28	g	g	NOUN
ap-1819	44	29	dxψ∗n(x)ψn(x	dxψ∗n(x)ψn(x	PROPN
ap-1819	44	30	)	)	PUNCT
ap-1819	45	1	<	<	X
ap-1819	45	2	∞.	∞.	PROPN
ap-1819	45	3	(	(	PUNCT
ap-1819	45	4	3	3	NUM
ap-1819	45	5	)	)	PUNCT
ap-1819	45	6	whenever	whenever	SCONJ
ap-1819	45	7	the	the	DET
ap-1819	45	8	corresponding	corresponding	ADJ
ap-1819	45	9	friendly	friendly	ADJ
ap-1819	45	10	and	and	CCONJ
ap-1819	45	11	trivial	trivial	ADJ
ap-1819	45	12	metric	metric	ADJ
ap-1819	45	13	θ(f	θ(f	PROPN
ap-1819	45	14	)	)	PUNCT
ap-1819	46	1	=	=	PUNCT
ap-1819	46	2	i	i	PRON
ap-1819	46	3	is	be	AUX
ap-1819	46	4	replaced	replace	VERB
ap-1819	46	5	by	by	ADP
ap-1819	46	6	its	its	PRON
ap-1819	46	7	nontrivial	nontrivial	ADJ
ap-1819	46	8	version	version	NOUN
ap-1819	46	9	defining	define	VERB
ap-1819	46	10	the	the	DET
ap-1819	46	11	correct	correct	ADJ
ap-1819	46	12	physical	physical	ADJ
ap-1819	46	13	hilbert	hilbert	NOUN
ap-1819	46	14	space	space	NOUN
ap-1819	46	15	h(s	h(s	PROPN
ap-1819	46	16	)	)	PUNCT
ap-1819	46	17	,	,	PUNCT
ap-1819	46	18	the	the	DET
ap-1819	46	19	“	"	PUNCT
ap-1819	46	20	naive	naive	ADJ
ap-1819	46	21	”	"	PUNCT
ap-1819	46	22	eq	eq	NOUN
ap-1819	46	23	.	.	PUNCT
ap-1819	47	1	(	(	PUNCT
ap-1819	47	2	3	3	X
ap-1819	47	3	)	)	PUNCT
ap-1819	47	4	must	must	AUX
ap-1819	47	5	be	be	AUX
ap-1819	47	6	replaced	replace	VERB
ap-1819	47	7	by	by	ADP
ap-1819	47	8	the	the	DET
ap-1819	47	9	double	double	ADJ
ap-1819	47	10	integral	integral	NOUN
ap-1819	47	11	which	which	PRON
ap-1819	47	12	defines	define	VERB
ap-1819	47	13	,	,	PUNCT
ap-1819	47	14	by	by	ADP
ap-1819	47	15	the	the	DET
ap-1819	47	16	way	way	NOUN
ap-1819	47	17	,	,	PUNCT
ap-1819	47	18	also	also	ADV
ap-1819	47	19	the	the	DET
ap-1819	47	20	correct	correct	ADJ
ap-1819	47	21	physical	physical	ADJ
ap-1819	47	22	orthonormalization	orthonormalization	NOUN
ap-1819	47	23	of	of	ADP
ap-1819	47	24	the	the	DET
ap-1819	47	25	bound	bind	VERB
ap-1819	47	26	states,∫	states,∫	NOUN
ap-1819	47	27	g	g	PROPN
ap-1819	47	28	dx	dx	PROPN
ap-1819	47	29	∫	∫	PROPN
ap-1819	47	30	g	g	PROPN
ap-1819	47	31	dx′	dx′	PROPN
ap-1819	47	32	ψ∗m(x)θ(x	ψ∗m(x)θ(x	PROPN
ap-1819	47	33	,	,	PUNCT
ap-1819	47	34	x′)ψn(x′	x′)ψn(x′	PROPN
ap-1819	47	35	)	)	PUNCT
ap-1819	48	1	=	=	SYM
ap-1819	48	2	δmn	δmn	NOUN
ap-1819	48	3	(	(	PUNCT
ap-1819	48	4	4	4	NUM
ap-1819	48	5	)	)	PUNCT
ap-1819	48	6	where	where	SCONJ
ap-1819	48	7	δmn	δmn	NOUN
ap-1819	48	8	is	be	AUX
ap-1819	48	9	kronecker	kronecker	NOUN
ap-1819	48	10	symbol	symbol	NOUN
ap-1819	48	11	.	.	PUNCT
ap-1819	49	1	for	for	ADP
ap-1819	49	2	the	the	DET
ap-1819	49	3	hamiltonians	hamiltonian	NOUN
ap-1819	49	4	which	which	PRON
ap-1819	49	5	are	be	AUX
ap-1819	49	6	hermitian	hermitian	ADJ
ap-1819	49	7	in	in	ADP
ap-1819	49	8	h(f	h(f	PROPN
ap-1819	49	9	)	)	PUNCT
ap-1819	49	10	the	the	DET
ap-1819	49	11	use	use	NOUN
ap-1819	49	12	of	of	ADP
ap-1819	49	13	the	the	DET
ap-1819	49	14	so	so	ADV
ap-1819	49	15	called	call	VERB
ap-1819	49	16	dirac	dirac	NOUN
ap-1819	49	17	’s	’s	PART
ap-1819	49	18	metric	metric	ADJ
ap-1819	49	19	θ(x	θ(x	PROPN
ap-1819	49	20	,	,	PUNCT
ap-1819	49	21	x′	x′	NUM
ap-1819	49	22	)	)	PUNCT
ap-1819	49	23	=	=	PUNCT
ap-1819	49	24	δ(x−	δ(x−	X
ap-1819	49	25	x′	x′	NUM
ap-1819	49	26	)	)	PUNCT
ap-1819	49	27	leads	lead	VERB
ap-1819	49	28	to	to	ADP
ap-1819	49	29	the	the	DET
ap-1819	49	30	degenerate	degenerate	ADJ
ap-1819	49	31	form	form	NOUN
ap-1819	49	32	(	(	PUNCT
ap-1819	49	33	3	3	NUM
ap-1819	49	34	)	)	PUNCT
ap-1819	49	35	of	of	ADP
ap-1819	49	36	eq	eq	PROPN
ap-1819	49	37	.	.	PUNCT
ap-1819	50	1	(	(	PUNCT
ap-1819	50	2	4	4	NUM
ap-1819	50	3	)	)	PUNCT
ap-1819	50	4	of	of	ADP
ap-1819	50	5	course	course	NOUN
ap-1819	50	6	.	.	PUNCT
ap-1819	51	1	318	318	NUM
ap-1819	51	2	vol	vol	NOUN
ap-1819	51	3	.	.	PUNCT
ap-1819	52	1	53	53	NUM
ap-1819	52	2	no	no	NOUN
ap-1819	52	3	.	.	PUNCT
ap-1819	53	1	3/2013	3/2013	NUM
ap-1819	53	2	non	non	ADJ
ap-1819	53	3	-	-	ADJ
ap-1819	53	4	hermitian	hermitian	ADJ
ap-1819	53	5	star	star	NOUN
ap-1819	53	6	-	-	PUNCT
ap-1819	53	7	shaped	shape	VERB
ap-1819	53	8	quantum	quantum	NOUN
ap-1819	53	9	graphs	graph	NOUN
ap-1819	54	1	o	o	NOUN
ap-1819	54	2	o	o	NOUN
ap-1819	55	1	o	o	X
ap-1819	55	2	o	o	X
ap-1819	55	3	o	o	X
ap-1819	55	4	ooo0	ooo0	PROPN
ap-1819	55	5	1	1	NUM
ap-1819	55	6	2	2	NUM
ap-1819	55	7	3	3	NUM
ap-1819	55	8	z	z	NOUN
ap-1819	55	9	1	1	NUM
ap-1819	55	10	2	2	NUM
ap-1819	55	11	3	3	NUM
ap-1819	55	12	4	4	NUM
ap-1819	55	13	5	5	NUM
ap-1819	55	14	k	k	NOUN
ap-1819	55	15	figure	figure	NOUN
ap-1819	55	16	2	2	NUM
ap-1819	55	17	.	.	PUNCT
ap-1819	56	1	the	the	DET
ap-1819	56	2	real	real	ADJ
ap-1819	56	3	-	-	PUNCT
ap-1819	56	4	momentum	momentum	NOUN
ap-1819	56	5	-	-	PUNCT
ap-1819	56	6	dependence	dependence	NOUN
ap-1819	56	7	of	of	ADP
ap-1819	56	8	the	the	DET
ap-1819	56	9	two	two	NUM
ap-1819	56	10	factors	factor	NOUN
ap-1819	56	11	of	of	ADP
ap-1819	56	12	the	the	DET
ap-1819	56	13	secular	secular	ADJ
ap-1819	56	14	determinant	determinant	NOUN
ap-1819	56	15	of	of	ADP
ap-1819	56	16	eq	eq	PROPN
ap-1819	56	17	.	.	PUNCT
ap-1819	57	1	(	(	PUNCT
ap-1819	57	2	10	10	NUM
ap-1819	57	3	)	)	PUNCT
ap-1819	57	4	in	in	ADP
ap-1819	57	5	the	the	DET
ap-1819	57	6	subcritical	subcritical	ADJ
ap-1819	57	7	non	non	ADJ
ap-1819	57	8	-	-	ADJ
ap-1819	57	9	hermitian	hermitian	ADJ
ap-1819	57	10	regime	regime	NOUN
ap-1819	57	11	with	with	ADP
ap-1819	57	12	α	α	PROPN
ap-1819	57	13	=	=	SYM
ap-1819	57	14	0.7	0.7	NUM
ap-1819	57	15	.	.	PUNCT
ap-1819	58	1	in	in	ADP
ap-1819	58	2	the	the	DET
ap-1819	58	3	most	most	ADV
ap-1819	58	4	natural	natural	ADJ
ap-1819	58	5	move	move	NOUN
ap-1819	58	6	towards	towards	ADP
ap-1819	58	7	a	a	DET
ap-1819	58	8	more	more	ADV
ap-1819	58	9	realistic	realistic	ADJ
ap-1819	58	10	scenario	scenario	NOUN
ap-1819	58	11	one	one	NOUN
ap-1819	58	12	often	often	ADV
ap-1819	58	13	tries	try	VERB
ap-1819	58	14	to	to	PART
ap-1819	58	15	think	think	VERB
ap-1819	58	16	about	about	ADP
ap-1819	58	17	a	a	DET
ap-1819	58	18	nonzero	nonzero	ADJ
ap-1819	58	19	thickness	thickness	NOUN
ap-1819	58	20	of	of	ADP
ap-1819	58	21	the	the	DET
ap-1819	58	22	wedges	wedge	NOUN
ap-1819	58	23	.	.	PUNCT
ap-1819	59	1	of	of	ADP
ap-1819	59	2	course	course	NOUN
ap-1819	59	3	,	,	PUNCT
ap-1819	59	4	with	with	ADP
ap-1819	59	5	the	the	DET
ap-1819	59	6	necessary	necessary	ADJ
ap-1819	59	7	transition	transition	NOUN
ap-1819	59	8	to	to	ADP
ap-1819	59	9	the	the	DET
ap-1819	59	10	partial	partial	ADJ
ap-1819	59	11	-	-	PUNCT
ap-1819	59	12	differential	differential	NOUN
ap-1819	59	13	schrödinger	schrödinger	ADJ
ap-1819	59	14	equations	equation	NOUN
ap-1819	59	15	this	this	PRON
ap-1819	59	16	would	would	AUX
ap-1819	59	17	make	make	VERB
ap-1819	59	18	the	the	DET
ap-1819	59	19	eigenvalue	eigenvalue	ADJ
ap-1819	59	20	problem	problem	NOUN
ap-1819	59	21	highly	highly	ADV
ap-1819	59	22	nontrivial	nontrivial	ADJ
ap-1819	59	23	even	even	ADV
ap-1819	59	24	for	for	ADP
ap-1819	59	25	the	the	DET
ap-1819	59	26	straight	straight	ADJ
ap-1819	59	27	-	-	PUNCT
ap-1819	59	28	line	line	NOUN
ap-1819	59	29	1d	1d	NUM
ap-1819	59	30	graph	graph	NOUN
ap-1819	59	31	.	.	PUNCT
ap-1819	60	1	in	in	ADP
ap-1819	60	2	[	[	X
ap-1819	60	3	11	11	NUM
ap-1819	60	4	]	]	PUNCT
ap-1819	60	5	,	,	PUNCT
ap-1819	60	6	an	an	DET
ap-1819	60	7	alternative	alternative	ADJ
ap-1819	60	8	idea	idea	NOUN
ap-1819	60	9	of	of	ADP
ap-1819	60	10	the	the	DET
ap-1819	60	11	smearing	smearing	NOUN
ap-1819	60	12	of	of	ADP
ap-1819	60	13	the	the	DET
ap-1819	60	14	1d	1d	NUM
ap-1819	60	15	wedges	wedge	NOUN
ap-1819	60	16	has	have	AUX
ap-1819	60	17	been	be	AUX
ap-1819	60	18	proposed	propose	VERB
ap-1819	60	19	,	,	PUNCT
ap-1819	60	20	therefore	therefore	ADV
ap-1819	60	21	.	.	PUNCT
ap-1819	61	1	its	its	PRON
ap-1819	61	2	realization	realization	NOUN
ap-1819	61	3	relied	rely	VERB
ap-1819	61	4	heavily	heavily	ADV
ap-1819	61	5	upon	upon	SCONJ
ap-1819	61	6	the	the	DET
ap-1819	61	7	discretization	discretization	NOUN
ap-1819	61	8	of	of	ADP
ap-1819	61	9	the	the	DET
ap-1819	61	10	1d	1d	NUM
ap-1819	61	11	graph	graph	NOUN
ap-1819	61	12	which	which	PRON
ap-1819	61	13	reduced	reduce	VERB
ap-1819	61	14	eq	eq	ADP
ap-1819	61	15	.	.	PUNCT
ap-1819	62	1	(	(	PUNCT
ap-1819	62	2	2	2	NUM
ap-1819	62	3	)	)	PUNCT
ap-1819	62	4	to	to	ADP
ap-1819	62	5	the	the	DET
ap-1819	62	6	mere	mere	ADJ
ap-1819	62	7	n	n	NOUN
ap-1819	62	8	by	by	ADP
ap-1819	62	9	n	n	NOUN
ap-1819	62	10	matrix	matrix	NOUN
ap-1819	62	11	problem	problem	NOUN
ap-1819	62	12	.	.	PUNCT
ap-1819	63	1	the	the	DET
ap-1819	63	2	key	key	ADJ
ap-1819	63	3	idea	idea	NOUN
ap-1819	63	4	lied	lie	VERB
ap-1819	63	5	in	in	ADP
ap-1819	63	6	the	the	DET
ap-1819	63	7	smearing	smearing	NOUN
ap-1819	63	8	of	of	ADP
ap-1819	63	9	the	the	DET
ap-1819	63	10	wedges	wedge	NOUN
ap-1819	63	11	caused	cause	VERB
ap-1819	63	12	by	by	ADP
ap-1819	63	13	the	the	DET
ap-1819	63	14	use	use	NOUN
ap-1819	63	15	of	of	ADP
ap-1819	63	16	the	the	DET
ap-1819	63	17	smearing	smearing	NOUN
ap-1819	63	18	-	-	PUNCT
ap-1819	63	19	providing	provide	VERB
ap-1819	63	20	metric	metric	ADJ
ap-1819	63	21	θ	θ	PROPN
ap-1819	63	22	.	.	PUNCT
ap-1819	63	23	illustrative	illustrative	ADJ
ap-1819	63	24	examples	example	NOUN
ap-1819	63	25	were	be	AUX
ap-1819	63	26	constructed	construct	VERB
ap-1819	63	27	in	in	ADP
ap-1819	63	28	the	the	DET
ap-1819	63	29	form	form	NOUN
ap-1819	63	30	of	of	ADP
ap-1819	63	31	the	the	DET
ap-1819	63	32	tridiagonal	tridiagonal	ADJ
ap-1819	63	33	(	(	PUNCT
ap-1819	63	34	or	or	CCONJ
ap-1819	63	35	block	block	NOUN
ap-1819	63	36	-	-	PUNCT
ap-1819	63	37	tridiagonal	tridiagonal	ADJ
ap-1819	63	38	or	or	CCONJ
ap-1819	63	39	block	block	NOUN
ap-1819	63	40	-	-	PUNCT
ap-1819	63	41	pentadiagonal	pentadiagonal	ADJ
ap-1819	63	42	,	,	PUNCT
ap-1819	63	43	etc	etc	X
ap-1819	63	44	)	)	PUNCT
ap-1819	63	45	matrices	matrice	VERB
ap-1819	63	46	θ	θ	PROPN
ap-1819	63	47	(	(	PUNCT
ap-1819	63	48	see	see	VERB
ap-1819	63	49	also	also	ADV
ap-1819	63	50	[	[	X
ap-1819	63	51	16	16	NUM
ap-1819	63	52	]	]	PUNCT
ap-1819	63	53	for	for	ADP
ap-1819	63	54	a	a	DET
ap-1819	63	55	more	more	ADV
ap-1819	63	56	detailed	detailed	ADJ
ap-1819	63	57	account	account	NOUN
ap-1819	63	58	of	of	ADP
ap-1819	63	59	this	this	DET
ap-1819	63	60	metric	metric	ADJ
ap-1819	63	61	-	-	PUNCT
ap-1819	63	62	mediated	mediate	VERB
ap-1819	63	63	smearing	smearing	NOUN
ap-1819	63	64	idea	idea	NOUN
ap-1819	63	65	as	as	ADV
ap-1819	63	66	well	well	ADV
ap-1819	63	67	as	as	ADP
ap-1819	63	68	of	of	ADP
ap-1819	63	69	its	its	PRON
ap-1819	63	70	possible	possible	ADJ
ap-1819	63	71	phenomenological	phenomenological	ADJ
ap-1819	63	72	interpretation	interpretation	NOUN
ap-1819	63	73	and	and	CCONJ
ap-1819	63	74	consequences	consequence	NOUN
ap-1819	63	75	)	)	PUNCT
ap-1819	63	76	.	.	PUNCT
ap-1819	64	1	5	5	X
ap-1819	64	2	.	.	PUNCT
ap-1819	65	1	the	the	DET
ap-1819	65	2	simplifications	simplification	NOUN
ap-1819	65	3	of	of	ADP
ap-1819	65	4	dynamics	dynamic	NOUN
ap-1819	65	5	the	the	DET
ap-1819	65	6	discretization	discretization	NOUN
ap-1819	65	7	of	of	ADP
ap-1819	65	8	the	the	DET
ap-1819	65	9	star	star	NOUN
ap-1819	65	10	-	-	PUNCT
ap-1819	65	11	shaped	shape	VERB
ap-1819	65	12	graphs	graph	NOUN
ap-1819	65	13	rendered	render	VERB
ap-1819	65	14	it	it	PRON
ap-1819	65	15	possible	possible	ADJ
ap-1819	65	16	to	to	PART
ap-1819	65	17	construct	construct	VERB
ap-1819	65	18	the	the	DET
ap-1819	65	19	smearing	smearing	ADJ
ap-1819	65	20	-	-	PUNCT
ap-1819	65	21	metric	metric	ADJ
ap-1819	65	22	matrices	matrix	NOUN
ap-1819	65	23	θ	θ	PROPN
ap-1819	65	24	for	for	ADP
ap-1819	65	25	various	various	ADJ
ap-1819	65	26	models	model	NOUN
ap-1819	65	27	of	of	ADP
ap-1819	65	28	dynamics	dynamic	NOUN
ap-1819	65	29	.	.	PUNCT
ap-1819	66	1	for	for	ADP
ap-1819	66	2	illustration	illustration	NOUN
ap-1819	66	3	,	,	PUNCT
ap-1819	66	4	we	we	PRON
ap-1819	66	5	may	may	AUX
ap-1819	66	6	recall	recall	VERB
ap-1819	66	7	the	the	DET
ap-1819	66	8	one	one	NUM
ap-1819	66	9	-	-	PUNCT
ap-1819	66	10	parametric	parametric	ADJ
ap-1819	66	11	toy	toy	NOUN
ap-1819	66	12	-	-	PUNCT
ap-1819	66	13	model	model	NOUN
ap-1819	66	14	discretegraph	discretegraph	ADJ
ap-1819	66	15	hamiltonian	hamiltonian	NOUN
ap-1819	66	16	of	of	ADP
ap-1819	66	17	[	[	X
ap-1819	66	18	11	11	NUM
ap-1819	66	19	]	]	PUNCT
ap-1819	66	20	with	with	ADP
ap-1819	66	21	n	n	NOUN
ap-1819	66	22	=	=	SYM
ap-1819	66	23	4	4	NUM
ap-1819	66	24	,	,	PUNCT
ap-1819	66	25	h(4)(λ	h(4)(λ	NOUN
ap-1819	66	26	)	)	PUNCT
ap-1819	66	27	=	=	SYM
ap-1819	66	28			NOUN
ap-1819	66	29	2	2	NUM
ap-1819	66	30	−1	−1	NOUN
ap-1819	66	31	0	0	NUM
ap-1819	66	32	0	0	NUM
ap-1819	66	33	−1	−1	NOUN
ap-1819	66	34	2	2	NUM
ap-1819	67	1	−1−	−1−	ADP
ap-1819	67	2	λ	λ	NOUN
ap-1819	67	3	0	0	NUM
ap-1819	67	4	0	0	NUM
ap-1819	67	5	−1	−1	NOUN
ap-1819	68	1	+	+	X
ap-1819	68	2	λ	λ	PROPN
ap-1819	68	3	2	2	NUM
ap-1819	68	4	−1	−1	NOUN
ap-1819	68	5	0	0	NUM
ap-1819	68	6	0	0	NUM
ap-1819	68	7	−1	−1	NOUN
ap-1819	68	8	2	2	NUM
ap-1819	68	9			NOUN
ap-1819	68	10	,	,	PUNCT
ap-1819	68	11	(	(	PUNCT
ap-1819	68	12	5	5	X
ap-1819	68	13	)	)	PUNCT
ap-1819	68	14	which	which	PRON
ap-1819	68	15	has	have	AUX
ap-1819	68	16	been	be	AUX
ap-1819	68	17	assigned	assign	VERB
ap-1819	68	18	there	there	ADV
ap-1819	68	19	the	the	DET
ap-1819	68	20	four	four	NUM
ap-1819	68	21	-	-	PUNCT
ap-1819	68	22	parametric	parametric	ADJ
ap-1819	68	23	set	set	NOUN
ap-1819	68	24	of	of	ADP
ap-1819	68	25	metrics	metric	NOUN
ap-1819	68	26	θ(4)(λ	θ(4)(λ	NOUN
ap-1819	68	27	)	)	PUNCT
ap-1819	68	28	=	=	SYM
ap-1819	68	29	θ(4	θ(4	PROPN
ap-1819	68	30	)	)	PUNCT
ap-1819	69	1	[	[	X
ap-1819	69	2	α1,α2,α3,α4](λ	α1,α2,α3,α4](λ	NUM
ap-1819	69	3	)	)	PUNCT
ap-1819	69	4	=	=	PUNCT
ap-1819	70	1	α1m1	α1m1	X
ap-1819	70	2	+	+	SYM
ap-1819	70	3	α2m2	α2m2	X
ap-1819	71	1	+	+	SYM
ap-1819	71	2	α3m3	α3m3	PUNCT
ap-1819	71	3	+	+	NUM
ap-1819	71	4	α4m4	α4m4	NOUN
ap-1819	71	5	,	,	PUNCT
ap-1819	71	6	(	(	PUNCT
ap-1819	71	7	6	6	NUM
ap-1819	71	8	)	)	PUNCT
ap-1819	71	9	where	where	SCONJ
ap-1819	71	10	m1	m1	NOUN
ap-1819	71	11	=	=	PUNCT
ap-1819	71	12			NOUN
ap-1819	71	13	1−	1−	NUM
ap-1819	71	14	λ	λ	NOUN
ap-1819	71	15	0	0	NUM
ap-1819	71	16	0	0	NUM
ap-1819	71	17	0	0	NUM
ap-1819	71	18	0	0	NUM
ap-1819	71	19	1−	1−	NUM
ap-1819	71	20	λ	λ	NOUN
ap-1819	71	21	0	0	NUM
ap-1819	71	22	0	0	NUM
ap-1819	71	23	0	0	NUM
ap-1819	71	24	0	0	NUM
ap-1819	71	25	1	1	NUM
ap-1819	71	26	+	+	CCONJ
ap-1819	71	27	λ	λ	NOUN
ap-1819	71	28	0	0	NUM
ap-1819	71	29	0	0	NUM
ap-1819	71	30	0	0	NUM
ap-1819	71	31	0	0	NUM
ap-1819	71	32	1	1	NUM
ap-1819	71	33	+	+	NUM
ap-1819	71	34	λ	λ	X
ap-1819	71	35			NOUN
ap-1819	71	36	,	,	PUNCT
ap-1819	71	37	m2	m2	PROPN
ap-1819	71	38	=	=	SYM
ap-1819	71	39			NOUN
ap-1819	71	40	0	0	NUM
ap-1819	71	41	1−	1−	NUM
ap-1819	71	42	λ	λ	NOUN
ap-1819	71	43	0	0	NUM
ap-1819	71	44	0	0	NUM
ap-1819	71	45	1−	1−	NUM
ap-1819	71	46	λ	λ	NOUN
ap-1819	71	47	0	0	NUM
ap-1819	71	48	1−	1−	NUM
ap-1819	71	49	λ2	λ2	NOUN
ap-1819	71	50	0	0	NUM
ap-1819	71	51	0	0	NUM
ap-1819	71	52	1−	1−	NUM
ap-1819	71	53	λ2	λ2	NOUN
ap-1819	71	54	0	0	NUM
ap-1819	71	55	1	1	NUM
ap-1819	71	56	+	+	CCONJ
ap-1819	71	57	λ	λ	NOUN
ap-1819	71	58	0	0	NUM
ap-1819	71	59	0	0	NUM
ap-1819	71	60	1	1	NUM
ap-1819	71	61	+	+	NUM
ap-1819	71	62	λ	λ	NOUN
ap-1819	71	63	0	0	NUM
ap-1819	71	64			NOUN
ap-1819	71	65	,	,	PUNCT
ap-1819	71	66	m3	m3	PROPN
ap-1819	71	67	=	=	SYM
ap-1819	71	68			NOUN
ap-1819	71	69	0	0	NUM
ap-1819	71	70	0	0	NUM
ap-1819	71	71	1	1	NUM
ap-1819	71	72	0	0	NUM
ap-1819	71	73	0	0	NUM
ap-1819	71	74	1−	1−	NUM
ap-1819	71	75	λ	λ	NOUN
ap-1819	71	76	0	0	NUM
ap-1819	71	77	1	1	NUM
ap-1819	71	78	1	1	NUM
ap-1819	71	79	0	0	NUM
ap-1819	71	80	1	1	NUM
ap-1819	71	81	+	+	CCONJ
ap-1819	71	82	λ	λ	NOUN
ap-1819	71	83	0	0	NUM
ap-1819	71	84	0	0	NUM
ap-1819	71	85	1	1	NUM
ap-1819	71	86	0	0	NUM
ap-1819	71	87	0	0	NUM
ap-1819	71	88			NOUN
ap-1819	71	89	,	,	PUNCT
ap-1819	71	90	m4	m4	PROPN
ap-1819	71	91	=	=	SYM
ap-1819	71	92			NOUN
ap-1819	71	93	0	0	NUM
ap-1819	71	94	0	0	NUM
ap-1819	71	95	0	0	NUM
ap-1819	71	96	1	1	NUM
ap-1819	71	97	0	0	NUM
ap-1819	71	98	0	0	NUM
ap-1819	71	99	1	1	NUM
ap-1819	71	100	0	0	NUM
ap-1819	71	101	0	0	NUM
ap-1819	71	102	1	1	NUM
ap-1819	71	103	0	0	NUM
ap-1819	71	104	0	0	NUM
ap-1819	71	105	1	1	NUM
ap-1819	71	106	0	0	NUM
ap-1819	71	107	0	0	NUM
ap-1819	71	108	0	0	NUM
ap-1819	71	109			NOUN
ap-1819	71	110	.	.	PUNCT
ap-1819	72	1	(	(	PUNCT
ap-1819	72	2	7	7	X
ap-1819	72	3	)	)	PUNCT
ap-1819	72	4	obviously	obviously	ADV
ap-1819	72	5	,	,	PUNCT
ap-1819	72	6	in	in	ADP
ap-1819	72	7	the	the	DET
ap-1819	72	8	light	light	NOUN
ap-1819	72	9	of	of	ADP
ap-1819	72	10	the	the	DET
ap-1819	72	11	well	well	ADV
ap-1819	72	12	known	know	VERB
ap-1819	72	13	spectralexpansion	spectralexpansion	NOUN
ap-1819	72	14	formula	formula	NOUN
ap-1819	72	15	[	[	X
ap-1819	72	16	17	17	NUM
ap-1819	72	17	]	]	PUNCT
ap-1819	72	18	the	the	DET
ap-1819	72	19	general	general	ADJ
ap-1819	72	20	n	n	X
ap-1819	72	21	by	by	ADP
ap-1819	72	22	n	n	PRON
ap-1819	72	23	matrix	matrix	NOUN
ap-1819	72	24	of	of	ADP
ap-1819	72	25	the	the	DET
ap-1819	72	26	metric	metric	NOUN
ap-1819	72	27	contains	contain	VERB
ap-1819	72	28	n	n	DET
ap-1819	72	29	free	free	ADJ
ap-1819	72	30	real	real	ADJ
ap-1819	72	31	parameters	parameter	NOUN
ap-1819	72	32	so	so	SCONJ
ap-1819	72	33	that	that	SCONJ
ap-1819	72	34	due	due	ADP
ap-1819	72	35	to	to	ADP
ap-1819	72	36	the	the	DET
ap-1819	72	37	independence	independence	NOUN
ap-1819	72	38	of	of	ADP
ap-1819	72	39	components	component	NOUN
ap-1819	72	40	(	(	PUNCT
ap-1819	72	41	7	7	X
ap-1819	72	42	)	)	PUNCT
ap-1819	72	43	the	the	DET
ap-1819	72	44	solution	solution	NOUN
ap-1819	72	45	(	(	PUNCT
ap-1819	72	46	6	6	NUM
ap-1819	72	47	)	)	PUNCT
ap-1819	72	48	of	of	ADP
ap-1819	72	49	eq	eq	PROPN
ap-1819	72	50	.	.	PUNCT
ap-1819	73	1	(	(	PUNCT
ap-1819	73	2	2	2	X
ap-1819	73	3	)	)	PUNCT
ap-1819	73	4	is	be	AUX
ap-1819	73	5	exhaustive	exhaustive	ADJ
ap-1819	73	6	whenever	whenever	SCONJ
ap-1819	73	7	all	all	DET
ap-1819	73	8	the	the	DET
ap-1819	73	9	four	four	NUM
ap-1819	73	10	αjs	αj	NOUN
ap-1819	73	11	are	be	AUX
ap-1819	73	12	positive	positive	ADJ
ap-1819	73	13	and	and	CCONJ
ap-1819	73	14	whenever	whenever	SCONJ
ap-1819	73	15	|λ|	|λ|	ADP
ap-1819	73	16	<	<	X
ap-1819	73	17	1	1	NUM
ap-1819	73	18	.	.	PUNCT
ap-1819	74	1	moreover	moreover	ADV
ap-1819	74	2	,	,	PUNCT
ap-1819	74	3	the	the	DET
ap-1819	74	4	first	first	ADJ
ap-1819	74	5	component	component	NOUN
ap-1819	74	6	m1	m1	NOUN
ap-1819	74	7	is	be	AUX
ap-1819	74	8	diagonal	diagonal	ADJ
ap-1819	74	9	(	(	PUNCT
ap-1819	74	10	so	so	SCONJ
ap-1819	74	11	that	that	SCONJ
ap-1819	74	12	we	we	PRON
ap-1819	74	13	may	may	AUX
ap-1819	74	14	conclude	conclude	VERB
ap-1819	74	15	that	that	SCONJ
ap-1819	74	16	the	the	DET
ap-1819	74	17	energy	energy	NOUN
ap-1819	74	18	spectrum	spectrum	NOUN
ap-1819	74	19	remains	remain	VERB
ap-1819	74	20	real	real	ADJ
ap-1819	74	21	)	)	PUNCT
ap-1819	74	22	.	.	PUNCT
ap-1819	75	1	at	at	ADP
ap-1819	75	2	the	the	DET
ap-1819	75	3	same	same	ADJ
ap-1819	75	4	time	time	NOUN
ap-1819	75	5	,	,	PUNCT
ap-1819	75	6	merely	merely	ADV
ap-1819	75	7	the	the	DET
ap-1819	75	8	last	last	ADJ
ap-1819	75	9	component	component	NOUN
ap-1819	75	10	can	can	AUX
ap-1819	75	11	not	not	PART
ap-1819	75	12	be	be	AUX
ap-1819	75	13	treated	treat	VERB
ap-1819	75	14	as	as	ADP
ap-1819	75	15	a	a	DET
ap-1819	75	16	smearing	smearing	NOUN
ap-1819	75	17	-	-	PUNCT
ap-1819	75	18	mediating	mediate	VERB
ap-1819	75	19	band	band	NOUN
ap-1819	75	20	matrix	matrix	NOUN
ap-1819	75	21	.	.	PUNCT
ap-1819	76	1	analogous	analogous	ADJ
ap-1819	76	2	(	(	PUNCT
ap-1819	76	3	though	though	ADV
ap-1819	76	4	,	,	PUNCT
ap-1819	76	5	naturally	naturally	ADV
ap-1819	76	6	,	,	PUNCT
ap-1819	76	7	not	not	PART
ap-1819	76	8	so	so	ADV
ap-1819	76	9	easily	easily	ADV
ap-1819	76	10	displayed	display	VERB
ap-1819	76	11	)	)	PUNCT
ap-1819	76	12	results	result	NOUN
ap-1819	76	13	were	be	AUX
ap-1819	76	14	obtained	obtain	VERB
ap-1819	76	15	,	,	PUNCT
ap-1819	76	16	in	in	ADP
ap-1819	76	17	[	[	X
ap-1819	76	18	12	12	NUM
ap-1819	76	19	]	]	PUNCT
ap-1819	76	20	,	,	PUNCT
ap-1819	76	21	for	for	ADP
ap-1819	76	22	the	the	DET
ap-1819	76	23	nontrivial	nontrivial	ADJ
ap-1819	76	24	discrete	discrete	ADJ
ap-1819	76	25	star	star	NOUN
ap-1819	76	26	graphs	graph	NOUN
ap-1819	76	27	with	with	ADP
ap-1819	76	28	q	q	PROPN
ap-1819	76	29	>	>	X
ap-1819	76	30	2	2	NUM
ap-1819	76	31	.	.	PUNCT
ap-1819	77	1	in	in	ADP
ap-1819	77	2	place	place	NOUN
ap-1819	77	3	of	of	ADP
ap-1819	77	4	the	the	DET
ap-1819	77	5	diagonal	diagonal	ADJ
ap-1819	77	6	,	,	PUNCT
ap-1819	77	7	tridiagonal	tridiagonal	ADJ
ap-1819	77	8	,	,	PUNCT
ap-1819	77	9	pentadiagonal	pentadiagonal	ADJ
ap-1819	77	10	(	(	PUNCT
ap-1819	77	11	etc	etc	X
ap-1819	77	12	)	)	PUNCT
ap-1819	77	13	matrices	matrix	NOUN
ap-1819	77	14	(	(	PUNCT
ap-1819	77	15	cf	cf	NOUN
ap-1819	77	16	eq	eq	NOUN
ap-1819	77	17	.	.	PUNCT
ap-1819	78	1	(	(	PUNCT
ap-1819	78	2	7	7	NUM
ap-1819	78	3	)	)	PUNCT
ap-1819	78	4	)	)	PUNCT
ap-1819	78	5	we	we	PRON
ap-1819	78	6	merely	merely	ADV
ap-1819	78	7	had	have	VERB
ap-1819	78	8	to	to	PART
ap-1819	78	9	construct	construct	VERB
ap-1819	78	10	there	there	ADV
ap-1819	78	11	the	the	DET
ap-1819	78	12	blockdiagonal	blockdiagonal	NOUN
ap-1819	78	13	,	,	PUNCT
ap-1819	78	14	block	block	NOUN
ap-1819	78	15	-	-	PUNCT
ap-1819	78	16	tridiagonal	tridiagonal	ADJ
ap-1819	78	17	,	,	PUNCT
ap-1819	78	18	block	block	NOUN
ap-1819	78	19	-	-	PUNCT
ap-1819	78	20	pentadiagonal	pentadiagonal	ADJ
ap-1819	78	21	(	(	PUNCT
ap-1819	78	22	etc	etc	X
ap-1819	78	23	)	)	PUNCT
ap-1819	78	24	matrices	matrix	NOUN
ap-1819	78	25	,	,	PUNCT
ap-1819	78	26	respectively	respectively	ADV
ap-1819	78	27	.	.	PUNCT
ap-1819	79	1	319	319	NUM
ap-1819	79	2	miloslav	miloslav	NOUN
ap-1819	79	3	znojil	znojil	PROPN
ap-1819	79	4	acta	acta	PROPN
ap-1819	79	5	polytechnica	polytechnica	PROPN
ap-1819	80	1	oo	oo	INTJ
ap-1819	80	2	o	o	INTJ
ap-1819	81	1	ooo	ooo	INTJ
ap-1819	81	2	o	o	INTJ
ap-1819	82	1	ooo	ooo	INTJ
ap-1819	82	2	o	o	INTJ
ap-1819	82	3	ooo0	ooo0	PROPN
ap-1819	82	4	4	4	NUM
ap-1819	82	5	8	8	NUM
ap-1819	82	6	z	z	NOUN
ap-1819	82	7	5	5	NUM
ap-1819	82	8	10	10	NUM
ap-1819	82	9	k	k	NOUN
ap-1819	82	10	figure	figure	NOUN
ap-1819	82	11	3	3	NUM
ap-1819	82	12	.	.	PUNCT
ap-1819	83	1	the	the	DET
ap-1819	83	2	real	real	ADJ
ap-1819	83	3	-	-	PUNCT
ap-1819	83	4	momentum	momentum	NOUN
ap-1819	83	5	-	-	PUNCT
ap-1819	83	6	dependence	dependence	NOUN
ap-1819	83	7	of	of	ADP
ap-1819	83	8	the	the	DET
ap-1819	83	9	two	two	NUM
ap-1819	83	10	factors	factor	NOUN
ap-1819	83	11	of	of	ADP
ap-1819	83	12	the	the	DET
ap-1819	83	13	secular	secular	ADJ
ap-1819	83	14	determinant	determinant	NOUN
ap-1819	83	15	of	of	ADP
ap-1819	83	16	eq	eq	PROPN
ap-1819	83	17	.	.	PUNCT
ap-1819	84	1	(	(	PUNCT
ap-1819	84	2	10	10	NUM
ap-1819	84	3	)	)	PUNCT
ap-1819	84	4	in	in	ADP
ap-1819	84	5	the	the	DET
ap-1819	84	6	strongly	strongly	ADV
ap-1819	84	7	non	non	ADJ
ap-1819	84	8	-	-	ADJ
ap-1819	84	9	hermitian	hermitian	ADJ
ap-1819	84	10	regime	regime	NOUN
ap-1819	84	11	with	with	ADP
ap-1819	84	12	α	α	PROPN
ap-1819	84	13	=	=	SYM
ap-1819	84	14	1	1	NUM
ap-1819	84	15	.	.	NOUN
ap-1819	84	16	6	6	NUM
ap-1819	84	17	.	.	PUNCT
ap-1819	85	1	an	an	DET
ap-1819	85	2	illustrative	illustrative	ADJ
ap-1819	85	3	,	,	PUNCT
ap-1819	85	4	exactly	exactly	ADV
ap-1819	85	5	solvable	solvable	ADJ
ap-1819	85	6	star	star	NOUN
ap-1819	85	7	-	-	PUNCT
ap-1819	85	8	shaped	shape	VERB
ap-1819	85	9	1d	1d	NUM
ap-1819	85	10	quantum	quantum	NOUN
ap-1819	85	11	graph	graph	NOUN
ap-1819	85	12	the	the	DET
ap-1819	85	13	main	main	ADJ
ap-1819	85	14	technical	technical	ADJ
ap-1819	85	15	disadvantage	disadvantage	NOUN
ap-1819	85	16	of	of	ADP
ap-1819	85	17	the	the	DET
ap-1819	85	18	discretization	discretization	NOUN
ap-1819	85	19	recipe	recipe	NOUN
ap-1819	85	20	lies	lie	VERB
ap-1819	85	21	in	in	ADP
ap-1819	85	22	the	the	DET
ap-1819	85	23	quick	quick	ADJ
ap-1819	85	24	weakening	weakening	NOUN
ap-1819	85	25	of	of	ADP
ap-1819	85	26	the	the	DET
ap-1819	85	27	merits	merit	NOUN
ap-1819	85	28	(	(	PUNCT
ap-1819	85	29	viz	viz	PROPN
ap-1819	85	30	.	.	PROPN
ap-1819	85	31	,	,	PUNCT
ap-1819	85	32	of	of	ADP
ap-1819	85	33	the	the	DET
ap-1819	85	34	tractability	tractability	NOUN
ap-1819	85	35	of	of	ADP
ap-1819	85	36	the	the	DET
ap-1819	85	37	mathematics	mathematic	NOUN
ap-1819	85	38	by	by	ADP
ap-1819	85	39	means	mean	NOUN
ap-1819	85	40	of	of	ADP
ap-1819	85	41	linear	linear	PROPN
ap-1819	85	42	algebra	algebra	NOUN
ap-1819	85	43	)	)	PUNCT
ap-1819	85	44	with	with	ADP
ap-1819	85	45	the	the	DET
ap-1819	85	46	growth	growth	NOUN
ap-1819	85	47	of	of	ADP
ap-1819	85	48	q	q	PROPN
ap-1819	85	49	and/or	and/or	CCONJ
ap-1819	85	50	of	of	ADP
ap-1819	85	51	the	the	DET
ap-1819	85	52	matrix	matrix	NOUN
ap-1819	85	53	dimensions	dimension	NOUN
ap-1819	85	54	(	(	PUNCT
ap-1819	85	55	say	say	INTJ
ap-1819	85	56	,	,	PUNCT
ap-1819	85	57	beyond	beyond	ADP
ap-1819	85	58	n	n	ADV
ap-1819	85	59	>	>	X
ap-1819	85	60	10	10	NUM
ap-1819	86	1	[	[	X
ap-1819	86	2	12	12	NUM
ap-1819	86	3	]	]	NUM
ap-1819	86	4	)	)	PUNCT
ap-1819	86	5	.	.	PUNCT
ap-1819	87	1	the	the	DET
ap-1819	87	2	occurrence	occurrence	NOUN
ap-1819	87	3	of	of	ADP
ap-1819	87	4	these	these	DET
ap-1819	87	5	limitations	limitation	NOUN
ap-1819	87	6	forced	force	VERB
ap-1819	87	7	us	we	PRON
ap-1819	87	8	to	to	PART
ap-1819	87	9	return	return	VERB
ap-1819	87	10	,	,	PUNCT
ap-1819	87	11	recently	recently	ADV
ap-1819	87	12	,	,	PUNCT
ap-1819	87	13	to	to	ADP
ap-1819	87	14	the	the	DET
ap-1819	87	15	continuous	continuous	ADJ
ap-1819	87	16	graphs	graph	NOUN
ap-1819	87	17	of	of	ADP
ap-1819	87	18	the	the	DET
ap-1819	87	19	star	star	NOUN
ap-1819	87	20	-	-	PUNCT
ap-1819	87	21	shaped	shape	VERB
ap-1819	87	22	form	form	NOUN
ap-1819	87	23	which	which	PRON
ap-1819	87	24	is	be	AUX
ap-1819	87	25	sampled	sample	VERB
ap-1819	87	26	in	in	ADP
ap-1819	87	27	fig	fig	NOUN
ap-1819	87	28	.	.	PUNCT
ap-1819	88	1	1	1	X
ap-1819	88	2	.	.	X
ap-1819	89	1	in	in	ADP
ap-1819	89	2	[	[	X
ap-1819	89	3	15	15	NUM
ap-1819	89	4	]	]	PUNCT
ap-1819	89	5	,	,	PUNCT
ap-1819	89	6	in	in	ADP
ap-1819	89	7	particular	particular	ADJ
ap-1819	89	8	,	,	PUNCT
ap-1819	89	9	we	we	PRON
ap-1819	89	10	omitted	omit	VERB
ap-1819	89	11	the	the	DET
ap-1819	89	12	“	"	PUNCT
ap-1819	89	13	central	central	ADJ
ap-1819	89	14	-	-	PUNCT
ap-1819	89	15	vertex	vertex	NOUN
ap-1819	89	16	”	"	PUNCT
ap-1819	89	17	interaction	interaction	NOUN
ap-1819	89	18	(	(	PUNCT
ap-1819	89	19	as	as	SCONJ
ap-1819	89	20	used	use	VERB
ap-1819	89	21	in	in	ADP
ap-1819	89	22	[	[	X
ap-1819	89	23	12	12	NUM
ap-1819	89	24	]	]	PUNCT
ap-1819	89	25	)	)	PUNCT
ap-1819	89	26	completely	completely	ADV
ap-1819	89	27	.	.	PUNCT
ap-1819	90	1	this	this	PRON
ap-1819	90	2	means	mean	VERB
ap-1819	90	3	that	that	SCONJ
ap-1819	90	4	just	just	ADV
ap-1819	90	5	the	the	DET
ap-1819	90	6	most	most	ADV
ap-1819	90	7	elementary	elementary	ADJ
ap-1819	90	8	kirchhof	kirchhof	PROPN
ap-1819	90	9	’s	’s	PART
ap-1819	90	10	law	law	NOUN
ap-1819	90	11	has	have	AUX
ap-1819	90	12	been	be	AUX
ap-1819	90	13	postulated	postulate	VERB
ap-1819	90	14	to	to	PART
ap-1819	90	15	hold	hold	VERB
ap-1819	90	16	in	in	ADP
ap-1819	90	17	the	the	DET
ap-1819	90	18	x	x	SYM
ap-1819	90	19	=	=	SYM
ap-1819	90	20	l	l	NOUN
ap-1819	90	21	center	center	NOUN
ap-1819	90	22	of	of	ADP
ap-1819	90	23	the	the	DET
ap-1819	90	24	graph	graph	NOUN
ap-1819	90	25	with	with	SCONJ
ap-1819	90	26	the	the	DET
ap-1819	90	27	wedges	wedge	NOUN
ap-1819	90	28	oriented	orient	VERB
ap-1819	90	29	,	,	PUNCT
ap-1819	90	30	conventionally	conventionally	ADV
ap-1819	90	31	,	,	PUNCT
ap-1819	90	32	inwards	inward	NOUN
ap-1819	90	33	,	,	PUNCT
ap-1819	90	34	ψj(l	ψj(l	NOUN
ap-1819	90	35	)	)	PUNCT
ap-1819	90	36	=	=	SYM
ap-1819	90	37	ψ0(l	ψ0(l	PROPN
ap-1819	90	38	)	)	PUNCT
ap-1819	90	39	,	,	PUNCT
ap-1819	90	40	j	j	X
ap-1819	90	41	=	=	SYM
ap-1819	90	42	1	1	NUM
ap-1819	90	43	,	,	PUNCT
ap-1819	90	44	.	.	PUNCT
ap-1819	90	45	.	.	PUNCT
ap-1819	91	1	.	.	PUNCT
ap-1819	92	1	,	,	PUNCT
ap-1819	92	2	q	q	X
ap-1819	93	1	−	−	PROPN
ap-1819	93	2	1	1	NUM
ap-1819	93	3	,	,	PUNCT
ap-1819	93	4	q−1∑	q−1∑	NUM
ap-1819	93	5	j=0	j=0	PROPN
ap-1819	93	6	∂xjψj(l	∂xjψj(l	X
ap-1819	93	7	)	)	PUNCT
ap-1819	93	8	=	=	SYM
ap-1819	93	9	0	0	X
ap-1819	93	10	.	.	PUNCT
ap-1819	94	1	(	(	PUNCT
ap-1819	94	2	8)	8)	NUM
ap-1819	94	3	the	the	DET
ap-1819	94	4	simplification	simplification	NOUN
ap-1819	94	5	has	have	AUX
ap-1819	94	6	been	be	AUX
ap-1819	94	7	compensated	compensate	VERB
ap-1819	94	8	by	by	ADP
ap-1819	94	9	the	the	DET
ap-1819	94	10	“	"	PUNCT
ap-1819	94	11	exotic”1	exotic”1	ADJ
ap-1819	94	12	external	external	ADJ
ap-1819	94	13	boundary	boundary	ADJ
ap-1819	94	14	conditions	condition	NOUN
ap-1819	94	15	∂xj	∂xj	PROPN
ap-1819	94	16	ψj(0	ψj(0	PROPN
ap-1819	94	17	)	)	PUNCT
ap-1819	94	18	=	=	SYM
ap-1819	94	19	iαeijϕψj(0	iαeijϕψj(0	PROPN
ap-1819	94	20	)	)	PUNCT
ap-1819	94	21	,	,	PUNCT
ap-1819	94	22	j	j	PROPN
ap-1819	94	23	=	=	SYM
ap-1819	94	24	0	0	PROPN
ap-1819	94	25	,	,	PUNCT
ap-1819	94	26	1	1	NUM
ap-1819	94	27	,	,	PUNCT
ap-1819	94	28	.	.	PUNCT
ap-1819	94	29	.	.	PUNCT
ap-1819	95	1	.	.	PUNCT
ap-1819	96	1	,	,	PUNCT
ap-1819	96	2	q	q	X
ap-1819	97	1	−	−	PROPN
ap-1819	97	2	1	1	NUM
ap-1819	97	3	,	,	PUNCT
ap-1819	97	4	ϕ	ϕ	X
ap-1819	97	5	=	=	PUNCT
ap-1819	97	6	2π	2π	NOUN
ap-1819	97	7	/	/	SYM
ap-1819	97	8	q.	q.	PROPN
ap-1819	97	9	(	(	PUNCT
ap-1819	97	10	9	9	NUM
ap-1819	97	11	)	)	PUNCT
ap-1819	97	12	1an	1an	ADJ
ap-1819	97	13	anonymous	anonymous	ADJ
ap-1819	97	14	referee	referee	NOUN
ap-1819	97	15	of	of	ADP
ap-1819	97	16	this	this	DET
ap-1819	97	17	paper	paper	NOUN
ap-1819	97	18	correctly	correctly	ADV
ap-1819	97	19	objected	object	VERB
ap-1819	97	20	that	that	SCONJ
ap-1819	97	21	these	these	DET
ap-1819	97	22	boundary	boundary	ADJ
ap-1819	97	23	conditions	condition	NOUN
ap-1819	97	24	need	need	AUX
ap-1819	97	25	not	not	PART
ap-1819	97	26	be	be	AUX
ap-1819	97	27	considered	consider	VERB
ap-1819	97	28	exotic	exotic	ADJ
ap-1819	97	29	at	at	ADV
ap-1819	97	30	all	all	ADV
ap-1819	97	31	.	.	PUNCT
ap-1819	98	1	the	the	DET
ap-1819	98	2	essence	essence	NOUN
ap-1819	98	3	of	of	ADP
ap-1819	98	4	such	such	DET
ap-1819	98	5	an	an	DET
ap-1819	98	6	objection	objection	NOUN
ap-1819	98	7	may	may	AUX
ap-1819	98	8	be	be	AUX
ap-1819	98	9	found	find	VERB
ap-1819	98	10	explained	explain	VERB
ap-1819	98	11	in	in	ADP
ap-1819	98	12	paper	paper	NOUN
ap-1819	98	13	[	[	X
ap-1819	98	14	18	18	NUM
ap-1819	98	15	]	]	PUNCT
ap-1819	98	16	in	in	ADP
ap-1819	98	17	which	which	PRON
ap-1819	98	18	the	the	DET
ap-1819	98	19	authors	author	NOUN
ap-1819	98	20	show	show	VERB
ap-1819	98	21	how	how	SCONJ
ap-1819	98	22	,	,	PUNCT
ap-1819	98	23	in	in	ADP
ap-1819	98	24	the	the	DET
ap-1819	98	25	q	q	X
ap-1819	98	26	=	=	SYM
ap-1819	98	27	2	2	NUM
ap-1819	98	28	special	special	ADJ
ap-1819	98	29	case	case	NOUN
ap-1819	98	30	,	,	PUNCT
ap-1819	98	31	these	these	DET
ap-1819	98	32	boundary	boundary	ADJ
ap-1819	98	33	conditions	condition	NOUN
ap-1819	98	34	may	may	AUX
ap-1819	98	35	be	be	AUX
ap-1819	98	36	given	give	VERB
ap-1819	98	37	a	a	DET
ap-1819	98	38	natural	natural	ADJ
ap-1819	98	39	and	and	CCONJ
ap-1819	98	40	elementary	elementary	ADJ
ap-1819	98	41	physical	physical	ADJ
ap-1819	98	42	interpretation	interpretation	NOUN
ap-1819	98	43	in	in	ADP
ap-1819	98	44	terms	term	NOUN
ap-1819	98	45	of	of	ADP
ap-1819	98	46	a	a	DET
ap-1819	98	47	perfecttransmission	perfecttransmission	NOUN
ap-1819	98	48	external	external	ADJ
ap-1819	98	49	scattering	scattering	NOUN
ap-1819	98	50	.	.	PUNCT
ap-1819	99	1	naturally	naturally	ADV
ap-1819	99	2	,	,	PUNCT
ap-1819	99	3	the	the	DET
ap-1819	99	4	presence	presence	NOUN
ap-1819	99	5	of	of	ADP
ap-1819	99	6	the	the	DET
ap-1819	99	7	additional	additional	ADJ
ap-1819	99	8	phase	phase	NOUN
ap-1819	99	9	factors	factor	NOUN
ap-1819	99	10	still	still	ADV
ap-1819	99	11	leaves	leave	VERB
ap-1819	99	12	the	the	DET
ap-1819	99	13	net	net	ADJ
ap-1819	99	14	inflow	inflow	NOUN
ap-1819	99	15	into	into	ADP
ap-1819	99	16	the	the	DET
ap-1819	99	17	whole	whole	ADJ
ap-1819	99	18	graph	graph	NOUN
ap-1819	99	19	equal	equal	ADJ
ap-1819	99	20	to	to	ADP
ap-1819	99	21	zero	zero	NUM
ap-1819	99	22	at	at	ADP
ap-1819	99	23	any	any	DET
ap-1819	99	24	q	q	NOUN
ap-1819	99	25	>	>	X
ap-1819	99	26	2	2	NUM
ap-1819	99	27	.	.	PUNCT
ap-1819	99	28	another	another	DET
ap-1819	99	29	extremely	extremely	ADV
ap-1819	99	30	interesting	interesting	ADJ
ap-1819	99	31	aspect	aspect	NOUN
ap-1819	99	32	of	of	ADP
ap-1819	99	33	the	the	DET
ap-1819	99	34	models	model	NOUN
ap-1819	99	35	of	of	ADP
ap-1819	99	36	similar	similar	ADJ
ap-1819	99	37	class	class	NOUN
ap-1819	99	38	has	have	AUX
ap-1819	99	39	also	also	ADV
ap-1819	99	40	been	be	AUX
ap-1819	99	41	pointed	point	VERB
ap-1819	99	42	out	out	ADP
ap-1819	99	43	and	and	CCONJ
ap-1819	99	44	discussed	discuss	VERB
ap-1819	99	45	(	(	PUNCT
ap-1819	99	46	though	though	SCONJ
ap-1819	99	47	not	not	PART
ap-1819	99	48	yet	yet	ADV
ap-1819	99	49	published	publish	VERB
ap-1819	99	50	)	)	PUNCT
ap-1819	99	51	by	by	ADP
ap-1819	99	52	stefan	stefan	PROPN
ap-1819	99	53	rotter	rotter	PROPN
ap-1819	99	54	et	et	PROPN
ap-1819	99	55	al	al	PROPN
ap-1819	100	1	[	[	X
ap-1819	100	2	19	19	NUM
ap-1819	100	3	]	]	PUNCT
ap-1819	100	4	in	in	ADP
ap-1819	100	5	the	the	DET
ap-1819	100	6	units	unit	NOUN
ap-1819	100	7	l	l	NOUN
ap-1819	100	8	=	=	SYM
ap-1819	100	9	1	1	NUM
ap-1819	100	10	we	we	PRON
ap-1819	100	11	arrived	arrive	VERB
ap-1819	100	12	at	at	ADP
ap-1819	100	13	the	the	DET
ap-1819	100	14	q	q	X
ap-1819	100	15	=	=	SYM
ap-1819	100	16	6	6	NUM
ap-1819	100	17	secular	secular	ADJ
ap-1819	100	18	equation	equation	NOUN
ap-1819	100	19	k6	k6	NOUN
ap-1819	100	20	−	−	PROPN
ap-1819	100	21	α6	α6	PROPN
ap-1819	100	22	tan4	tan4	PROPN
ap-1819	100	23	k	k	PROPN
ap-1819	100	24	k6	k6	PROPN
ap-1819	100	25	+	+	CCONJ
ap-1819	100	26	α6	α6	NOUN
ap-1819	101	1	tan6	tan6	NOUN
ap-1819	102	1	k	k	PROPN
ap-1819	102	2	tan	tan	PROPN
ap-1819	102	3	k	k	PROPN
ap-1819	103	1	=	=	PUNCT
ap-1819	103	2	0	0	PROPN
ap-1819	103	3	.	.	PUNCT
ap-1819	104	1	(	(	PUNCT
ap-1819	104	2	10	10	NUM
ap-1819	104	3	)	)	PUNCT
ap-1819	104	4	this	this	DET
ap-1819	104	5	equation	equation	NOUN
ap-1819	104	6	admits	admit	VERB
ap-1819	104	7	the	the	DET
ap-1819	104	8	straightforward	straightforward	ADJ
ap-1819	104	9	graphical	graphical	ADJ
ap-1819	104	10	solution	solution	NOUN
ap-1819	104	11	which	which	PRON
ap-1819	104	12	is	be	AUX
ap-1819	104	13	being	be	AUX
ap-1819	104	14	sampled	sample	VERB
ap-1819	104	15	here	here	ADV
ap-1819	104	16	via	via	ADP
ap-1819	104	17	figs	fig	NOUN
ap-1819	104	18	.	.	PUNCT
ap-1819	105	1	2	2	NUM
ap-1819	105	2	and	and	CCONJ
ap-1819	105	3	3	3	NUM
ap-1819	105	4	.	.	PUNCT
ap-1819	106	1	a	a	DET
ap-1819	106	2	thorough	thorough	ADJ
ap-1819	106	3	inspection	inspection	NOUN
ap-1819	106	4	of	of	ADP
ap-1819	106	5	these	these	DET
ap-1819	106	6	two	two	NUM
ap-1819	106	7	pictures	picture	NOUN
ap-1819	106	8	reveals	reveal	VERB
ap-1819	106	9	that	that	SCONJ
ap-1819	106	10	there	there	PRON
ap-1819	106	11	exists	exist	VERB
ap-1819	106	12	the	the	DET
ap-1819	106	13	so	so	ADV
ap-1819	106	14	called	call	VERB
ap-1819	106	15	kato	kato	PROPN
ap-1819	106	16	’s	’s	PART
ap-1819	106	17	[	[	X
ap-1819	106	18	20	20	NUM
ap-1819	106	19	]	]	SYM
ap-1819	106	20	exceptionalpoint	exceptionalpoint	NOUN
ap-1819	106	21	value	value	NOUN
ap-1819	106	22	of	of	ADP
ap-1819	106	23	the	the	DET
ap-1819	106	24	critical	critical	ADJ
ap-1819	106	25	coupling	coupling	NOUN
ap-1819	106	26	which	which	PRON
ap-1819	106	27	may	may	AUX
ap-1819	106	28	be	be	AUX
ap-1819	106	29	localized	localize	VERB
ap-1819	106	30	to	to	PART
ap-1819	106	31	lie	lie	VERB
ap-1819	106	32	at	at	ADP
ap-1819	106	33	αmin	αmin	PROPN
ap-1819	106	34	≈	≈	PROPN
ap-1819	106	35	0.7862806298	0.7862806298	NUM
ap-1819	106	36	.	.	PUNCT
ap-1819	107	1	at	at	ADP
ap-1819	107	2	this	this	DET
ap-1819	107	3	value	value	NOUN
ap-1819	107	4	of	of	ADP
ap-1819	107	5	the	the	DET
ap-1819	107	6	coupling	coupling	NOUN
ap-1819	107	7	(	(	PUNCT
ap-1819	107	8	which	which	PRON
ap-1819	107	9	is	be	AUX
ap-1819	107	10	,	,	PUNCT
ap-1819	107	11	in	in	ADP
ap-1819	107	12	our	our	PRON
ap-1819	107	13	model	model	NOUN
ap-1819	107	14	,	,	PUNCT
ap-1819	107	15	real	real	ADJ
ap-1819	107	16	)	)	PUNCT
ap-1819	107	17	the	the	DET
ap-1819	107	18	number	number	NOUN
ap-1819	107	19	of	of	ADP
ap-1819	107	20	the	the	DET
ap-1819	107	21	real	real	ADJ
ap-1819	107	22	roots	root	NOUN
ap-1819	107	23	of	of	ADP
ap-1819	107	24	the	the	DET
ap-1819	107	25	secular	secular	ADJ
ap-1819	107	26	determinant	determinant	ADJ
ap-1819	107	27	changes	change	NOUN
ap-1819	107	28	.	.	PUNCT
ap-1819	108	1	more	more	ADV
ap-1819	108	2	precisely	precisely	ADV
ap-1819	108	3	,	,	PUNCT
ap-1819	108	4	the	the	DET
ap-1819	108	5	more	more	ADV
ap-1819	108	6	detailed	detailed	ADJ
ap-1819	108	7	fig	fig	NOUN
ap-1819	108	8	.	.	PUNCT
ap-1819	109	1	2	2	NUM
ap-1819	109	2	shows	show	VERB
ap-1819	109	3	that	that	SCONJ
ap-1819	109	4	at	at	ADP
ap-1819	109	5	the	the	DET
ap-1819	109	6	not	not	PART
ap-1819	109	7	too	too	ADV
ap-1819	109	8	large	large	ADJ
ap-1819	109	9	value	value	NOUN
ap-1819	109	10	of	of	ADP
ap-1819	109	11	coupling	couple	VERB
ap-1819	109	12	α	α	X
ap-1819	109	13	=	=	SYM
ap-1819	109	14	7/10	7/10	NUM
ap-1819	109	15	there	there	ADV
ap-1819	109	16	exist	exist	VERB
ap-1819	109	17	four	four	NUM
ap-1819	109	18	distinct	distinct	ADJ
ap-1819	109	19	real	real	ADJ
ap-1819	109	20	zeros	zero	NOUN
ap-1819	109	21	of	of	ADP
ap-1819	109	22	the	the	DET
ap-1819	109	23	secular	secular	ADJ
ap-1819	109	24	determinant	determinant	ADJ
ap-1819	109	25	in	in	ADP
ap-1819	109	26	the	the	DET
ap-1819	109	27	interval	interval	NOUN
ap-1819	109	28	of	of	ADP
ap-1819	109	29	k	k	PROPN
ap-1819	109	30	∈	∈	PROPN
ap-1819	109	31	(	(	PUNCT
ap-1819	109	32	0	0	NUM
ap-1819	109	33	,	,	PUNCT
ap-1819	109	34	2	2	NUM
ap-1819	109	35	)	)	PUNCT
ap-1819	109	36	.	.	PUNCT
ap-1819	110	1	the	the	DET
ap-1819	110	2	subsequent	subsequent	ADJ
ap-1819	110	3	inspection	inspection	NOUN
ap-1819	110	4	of	of	ADP
ap-1819	110	5	fig	fig	NOUN
ap-1819	110	6	.	.	PUNCT
ap-1819	111	1	3	3	NUM
ap-1819	111	2	enables	enable	VERB
ap-1819	111	3	us	we	PRON
ap-1819	111	4	to	to	PART
ap-1819	111	5	find	find	VERB
ap-1819	111	6	out	out	ADP
ap-1819	111	7	that	that	SCONJ
ap-1819	111	8	after	after	SCONJ
ap-1819	111	9	the	the	DET
ap-1819	111	10	transition	transition	NOUN
ap-1819	111	11	to	to	ADP
ap-1819	111	12	an	an	DET
ap-1819	111	13	overcritical	overcritical	ADJ
ap-1819	111	14	value	value	NOUN
ap-1819	111	15	of	of	ADP
ap-1819	111	16	α	α	NOUN
ap-1819	111	17	=	=	SYM
ap-1819	111	18	1	1	NUM
ap-1819	111	19	the	the	DET
ap-1819	111	20	two	two	NUM
ap-1819	111	21	lowest	low	ADJ
ap-1819	111	22	roots	root	NOUN
ap-1819	111	23	disappeared	disappear	VERB
ap-1819	111	24	and	and	CCONJ
ap-1819	111	25	,	,	PUNCT
ap-1819	111	26	obviously	obviously	ADV
ap-1819	111	27	,	,	PUNCT
ap-1819	111	28	complexified	complexifie	VERB
ap-1819	111	29	(	(	PUNCT
ap-1819	111	30	in	in	ADP
ap-1819	111	31	an	an	DET
ap-1819	111	32	independent	independent	ADJ
ap-1819	111	33	calculation	calculation	NOUN
ap-1819	111	34	,	,	PUNCT
ap-1819	111	35	the	the	DET
ap-1819	111	36	position	position	NOUN
ap-1819	111	37	of	of	ADP
ap-1819	111	38	these	these	DET
ap-1819	111	39	“	"	PUNCT
ap-1819	111	40	missing	missing	ADJ
ap-1819	111	41	roots	root	NOUN
ap-1819	111	42	”	"	PUNCT
ap-1819	111	43	in	in	ADP
ap-1819	111	44	the	the	DET
ap-1819	111	45	complex	complex	ADJ
ap-1819	111	46	plane	plane	NOUN
ap-1819	111	47	of	of	ADP
ap-1819	111	48	k	k	PROPN
ap-1819	111	49	has	have	AUX
ap-1819	111	50	been	be	AUX
ap-1819	111	51	localized	localize	VERB
ap-1819	111	52	by	by	ADP
ap-1819	111	53	an	an	DET
ap-1819	111	54	ad	ad	X
ap-1819	111	55	hoc	hoc	X
ap-1819	111	56	,	,	PUNCT
ap-1819	111	57	brute	brute	ADJ
ap-1819	111	58	-	-	PUNCT
ap-1819	111	59	force	force	NOUN
ap-1819	111	60	numerical	numerical	ADJ
ap-1819	111	61	method	method	NOUN
ap-1819	111	62	)	)	PUNCT
ap-1819	111	63	.	.	PUNCT
ap-1819	112	1	7	7	X
ap-1819	112	2	.	.	X
ap-1819	112	3	summary	summary	NOUN
ap-1819	112	4	and	and	CCONJ
ap-1819	112	5	outlook	outlook	VERB
ap-1819	112	6	the	the	DET
ap-1819	112	7	idea	idea	NOUN
ap-1819	112	8	of	of	ADP
ap-1819	112	9	the	the	DET
ap-1819	112	10	study	study	NOUN
ap-1819	112	11	of	of	ADP
ap-1819	112	12	the	the	DET
ap-1819	112	13	non	non	ADJ
ap-1819	112	14	-	-	ADJ
ap-1819	112	15	hermitian	hermitian	ADJ
ap-1819	112	16	starshaped	starshape	VERB
ap-1819	112	17	quantum	quantum	ADJ
ap-1819	112	18	graphs	graph	NOUN
ap-1819	112	19	relates	relate	VERB
ap-1819	112	20	,	,	PUNCT
ap-1819	112	21	equally	equally	ADV
ap-1819	112	22	strongly	strongly	ADV
ap-1819	112	23	,	,	PUNCT
ap-1819	112	24	to	to	ADP
ap-1819	112	25	the	the	DET
ap-1819	112	26	studies	study	NOUN
ap-1819	112	27	of	of	ADP
ap-1819	112	28	its	its	PRON
ap-1819	112	29	non	non	ADJ
ap-1819	112	30	-	-	ADJ
ap-1819	112	31	hermitian	hermitian	ADJ
ap-1819	112	32	predecessors	predecessor	NOUN
ap-1819	112	33	which	which	PRON
ap-1819	112	34	remain	remain	VERB
ap-1819	112	35	topologically	topologically	ADV
ap-1819	112	36	trivial	trivial	ADJ
ap-1819	112	37	(	(	PUNCT
ap-1819	112	38	cf	cf	NOUN
ap-1819	112	39	.	.	PUNCT
ap-1819	113	1	their	their	PRON
ap-1819	113	2	samples	sample	NOUN
ap-1819	113	3	,	,	PUNCT
ap-1819	113	4	say	say	VERB
ap-1819	113	5	,	,	PUNCT
ap-1819	113	6	in	in	ADP
ap-1819	113	7	[	[	X
ap-1819	113	8	2–4	2–4	NUM
ap-1819	113	9	]	]	PUNCT
ap-1819	113	10	)	)	PUNCT
ap-1819	113	11	and	and	CCONJ
ap-1819	113	12	to	to	ADP
ap-1819	113	13	the	the	DET
ap-1819	113	14	studies	study	NOUN
ap-1819	113	15	of	of	ADP
ap-1819	113	16	the	the	DET
ap-1819	113	17	topologically	topologically	ADV
ap-1819	113	18	nontrivial	nontrivial	NOUN
ap-1819	113	19	,	,	PUNCT
ap-1819	113	20	genuine	genuine	ADJ
ap-1819	113	21	q−pointed	q−pointe	VERB
ap-1819	113	22	-	-	PUNCT
ap-1819	113	23	star	star	NOUN
ap-1819	113	24	-	-	PUNCT
ap-1819	113	25	shaped	shape	VERB
ap-1819	113	26	quantum	quantum	NOUN
ap-1819	113	27	graphs	graph	NOUN
ap-1819	113	28	with	with	ADP
ap-1819	113	29	q	q	PROPN
ap-1819	113	30	>	>	X
ap-1819	113	31	2	2	NUM
ap-1819	113	32	where	where	SCONJ
ap-1819	113	33	the	the	DET
ap-1819	113	34	hamiltonian	hamiltonian	ADJ
ap-1819	113	35	h	h	NOUN
ap-1819	113	36	of	of	ADP
ap-1819	113	37	the	the	DET
ap-1819	113	38	quantum	quantum	ADJ
ap-1819	113	39	system	system	NOUN
ap-1819	113	40	is	be	AUX
ap-1819	113	41	assumed	assume	VERB
ap-1819	113	42	self	self	NOUN
ap-1819	113	43	-	-	PUNCT
ap-1819	113	44	adjoint	adjoint	NOUN
ap-1819	113	45	in	in	ADP
ap-1819	113	46	one	one	NUM
ap-1819	113	47	of	of	ADP
ap-1819	113	48	the	the	DET
ap-1819	113	49	most	most	ADV
ap-1819	113	50	common	common	ADJ
ap-1819	113	51	hilbert	hilbert	NOUN
ap-1819	113	52	-	-	PUNCT
ap-1819	113	53	space	space	NOUN
ap-1819	113	54	forms	form	NOUN
ap-1819	113	55	of	of	ADP
ap-1819	113	56	square	square	ADJ
ap-1819	113	57	-	-	PUNCT
ap-1819	113	58	integrable	integrable	ADJ
ap-1819	113	59	wave	wave	NOUN
ap-1819	113	60	functions	function	NOUN
ap-1819	113	61	(	(	PUNCT
ap-1819	113	62	see	see	VERB
ap-1819	113	63	,	,	PUNCT
ap-1819	113	64	pars	par	NOUN
ap-1819	113	65	pro	pro	X
ap-1819	113	66	toto	toto	PROPN
ap-1819	113	67	,	,	PUNCT
ap-1819	113	68	an	an	DET
ap-1819	113	69	overall	overall	ADJ
ap-1819	113	70	discussion	discussion	NOUN
ap-1819	113	71	of	of	ADP
ap-1819	113	72	this	this	DET
ap-1819	113	73	approach	approach	NOUN
ap-1819	113	74	in	in	ADP
ap-1819	113	75	recent	recent	ADJ
ap-1819	113	76	paper	paper	NOUN
ap-1819	114	1	[	[	X
ap-1819	114	2	21	21	NUM
ap-1819	114	3	]	]	PUNCT
ap-1819	114	4	which	which	PRON
ap-1819	114	5	lists	list	VERB
ap-1819	114	6	also	also	ADV
ap-1819	114	7	further	further	ADJ
ap-1819	114	8	references	reference	NOUN
ap-1819	114	9	in	in	ADP
ap-1819	114	10	this	this	DET
ap-1819	114	11	area	area	NOUN
ap-1819	114	12	)	)	PUNCT
ap-1819	114	13	.	.	PUNCT
ap-1819	115	1	each	each	PRON
ap-1819	115	2	of	of	ADP
ap-1819	115	3	these	these	DET
ap-1819	115	4	predecessors	predecessor	NOUN
ap-1819	115	5	320	320	NUM
ap-1819	115	6	vol	vol	NOUN
ap-1819	115	7	.	.	PUNCT
ap-1819	116	1	53	53	NUM
ap-1819	116	2	no	no	NOUN
ap-1819	116	3	.	.	PUNCT
ap-1819	117	1	3/2013	3/2013	NUM
ap-1819	117	2	non	non	ADJ
ap-1819	117	3	-	-	ADJ
ap-1819	117	4	hermitian	hermitian	ADJ
ap-1819	117	5	star	star	NOUN
ap-1819	117	6	-	-	PUNCT
ap-1819	117	7	shaped	shape	VERB
ap-1819	117	8	quantum	quantum	NOUN
ap-1819	117	9	graphs	graph	NOUN
ap-1819	117	10	offers	offer	VERB
ap-1819	117	11	a	a	DET
ap-1819	117	12	slightly	slightly	ADV
ap-1819	117	13	different	different	ADJ
ap-1819	117	14	motivation	motivation	NOUN
ap-1819	117	15	which	which	PRON
ap-1819	117	16	originated	originate	VERB
ap-1819	117	17	much	much	ADV
ap-1819	117	18	more	more	ADJ
ap-1819	117	19	from	from	ADP
ap-1819	117	20	the	the	DET
ap-1819	117	21	needs	need	NOUN
ap-1819	117	22	of	of	ADP
ap-1819	117	23	the	the	DET
ap-1819	117	24	phenomenology	phenomenology	NOUN
ap-1819	117	25	and	and	CCONJ
ap-1819	117	26	quantum	quantum	NOUN
ap-1819	117	27	theory	theory	NOUN
ap-1819	117	28	in	in	ADP
ap-1819	117	29	the	the	DET
ap-1819	117	30	former	former	ADJ
ap-1819	117	31	case	case	NOUN
ap-1819	117	32	(	(	PUNCT
ap-1819	117	33	cf	cf	NOUN
ap-1819	117	34	.	.	PUNCT
ap-1819	117	35	,	,	PUNCT
ap-1819	117	36	in	in	ADP
ap-1819	117	37	particular	particular	ADJ
ap-1819	117	38	,	,	PUNCT
ap-1819	117	39	[	[	X
ap-1819	117	40	2	2	NUM
ap-1819	117	41	]	]	PUNCT
ap-1819	117	42	)	)	PUNCT
ap-1819	117	43	and	and	CCONJ
ap-1819	117	44	which	which	PRON
ap-1819	117	45	was	be	AUX
ap-1819	117	46	able	able	ADJ
ap-1819	117	47	to	to	PART
ap-1819	117	48	make	make	VERB
ap-1819	117	49	use	use	NOUN
ap-1819	117	50	of	of	ADP
ap-1819	117	51	an	an	DET
ap-1819	117	52	extensive	extensive	ADJ
ap-1819	117	53	knowledge	knowledge	NOUN
ap-1819	117	54	of	of	ADP
ap-1819	117	55	the	the	DET
ap-1819	117	56	underlying	underlie	VERB
ap-1819	117	57	mathematics	mathematic	NOUN
ap-1819	117	58	and	and	CCONJ
ap-1819	117	59	,	,	PUNCT
ap-1819	117	60	in	in	ADP
ap-1819	117	61	particular	particular	ADJ
ap-1819	117	62	,	,	PUNCT
ap-1819	117	63	of	of	ADP
ap-1819	117	64	the	the	DET
ap-1819	117	65	existing	exist	VERB
ap-1819	117	66	theorems	theorem	NOUN
ap-1819	117	67	and	and	CCONJ
ap-1819	117	68	results	result	NOUN
ap-1819	117	69	of	of	ADP
ap-1819	117	70	functional	functional	ADJ
ap-1819	117	71	analysis	analysis	NOUN
ap-1819	117	72	in	in	ADP
ap-1819	117	73	the	the	DET
ap-1819	117	74	latter	latter	ADJ
ap-1819	117	75	context	context	NOUN
ap-1819	117	76	.	.	PUNCT
ap-1819	118	1	in	in	ADP
ap-1819	118	2	this	this	DET
ap-1819	118	3	sense	sense	NOUN
ap-1819	118	4	,	,	PUNCT
ap-1819	118	5	at	at	ADP
ap-1819	118	6	present	present	ADJ
ap-1819	118	7	as	as	ADV
ap-1819	118	8	well	well	ADV
ap-1819	118	9	as	as	ADP
ap-1819	118	10	in	in	ADP
ap-1819	118	11	the	the	DET
ap-1819	118	12	nearest	near	ADJ
ap-1819	118	13	future	future	NOUN
ap-1819	118	14	,	,	PUNCT
ap-1819	118	15	the	the	DET
ap-1819	118	16	combination	combination	NOUN
ap-1819	118	17	of	of	ADP
ap-1819	118	18	the	the	DET
ap-1819	118	19	two	two	NUM
ap-1819	118	20	ideas	idea	NOUN
ap-1819	118	21	may	may	AUX
ap-1819	118	22	be	be	AUX
ap-1819	118	23	expected	expect	VERB
ap-1819	118	24	to	to	PART
ap-1819	118	25	share	share	VERB
ap-1819	118	26	both	both	PRON
ap-1819	118	27	their	their	PRON
ap-1819	118	28	merits	merit	NOUN
ap-1819	118	29	and	and	CCONJ
ap-1819	118	30	weaknesses	weakness	NOUN
ap-1819	118	31	.	.	PUNCT
ap-1819	119	1	in	in	ADP
ap-1819	119	2	particular	particular	ADJ
ap-1819	119	3	,	,	PUNCT
ap-1819	119	4	the	the	DET
ap-1819	119	5	strengths	strength	NOUN
ap-1819	119	6	may	may	AUX
ap-1819	119	7	be	be	AUX
ap-1819	119	8	expected	expect	VERB
ap-1819	119	9	to	to	PART
ap-1819	119	10	emerge	emerge	VERB
ap-1819	119	11	due	due	ADP
ap-1819	119	12	to	to	ADP
ap-1819	119	13	the	the	DET
ap-1819	119	14	related	relate	VERB
ap-1819	119	15	new	new	ADJ
ap-1819	119	16	perspectives	perspective	NOUN
ap-1819	119	17	in	in	ADP
ap-1819	119	18	the	the	DET
ap-1819	119	19	applications	application	NOUN
ap-1819	119	20	in	in	ADP
ap-1819	119	21	physics	physics	NOUN
ap-1819	119	22	(	(	PUNCT
ap-1819	119	23	cf	cf	NOUN
ap-1819	119	24	.	.	PUNCT
ap-1819	120	1	e.g.	e.g.	ADV
ap-1819	120	2	,	,	PUNCT
ap-1819	120	3	the	the	DET
ap-1819	120	4	new	new	ADJ
ap-1819	120	5	perspective	perspective	NOUN
ap-1819	120	6	which	which	PRON
ap-1819	120	7	appeared	appear	VERB
ap-1819	120	8	opening	open	VERB
ap-1819	120	9	in	in	ADP
ap-1819	120	10	the	the	DET
ap-1819	120	11	experimental	experimental	ADJ
ap-1819	120	12	optics	optic	NOUN
ap-1819	120	13	using	use	VERB
ap-1819	120	14	newly	newly	ADV
ap-1819	120	15	developed	develop	VERB
ap-1819	120	16	anomalous	anomalous	ADJ
ap-1819	120	17	metamaterials	metamaterial	NOUN
ap-1819	120	18	[	[	X
ap-1819	120	19	22	22	NUM
ap-1819	120	20	]	]	PUNCT
ap-1819	120	21	)	)	PUNCT
ap-1819	120	22	.	.	PUNCT
ap-1819	121	1	at	at	ADP
ap-1819	121	2	the	the	DET
ap-1819	121	3	same	same	ADJ
ap-1819	121	4	time	time	NOUN
ap-1819	121	5	,	,	PUNCT
ap-1819	121	6	the	the	DET
ap-1819	121	7	most	most	ADV
ap-1819	121	8	important	important	ADJ
ap-1819	121	9	weak	weak	ADJ
ap-1819	121	10	points	point	NOUN
ap-1819	121	11	of	of	ADP
ap-1819	121	12	the	the	DET
ap-1819	121	13	theory	theory	NOUN
ap-1819	121	14	may	may	AUX
ap-1819	121	15	,	,	PUNCT
ap-1819	121	16	understandably	understandably	ADV
ap-1819	121	17	,	,	PUNCT
ap-1819	121	18	be	be	AUX
ap-1819	121	19	identified	identify	VERB
ap-1819	121	20	with	with	ADP
ap-1819	121	21	the	the	DET
ap-1819	121	22	current	current	ADJ
ap-1819	121	23	lack	lack	NOUN
ap-1819	121	24	of	of	ADP
ap-1819	121	25	the	the	DET
ap-1819	121	26	reliable	reliable	ADJ
ap-1819	121	27	abstract	abstract	ADJ
ap-1819	121	28	mathematical	mathematical	ADJ
ap-1819	121	29	understanding	understanding	NOUN
ap-1819	121	30	of	of	ADP
ap-1819	121	31	some	some	DET
ap-1819	121	32	subtleties	subtlety	NOUN
ap-1819	121	33	which	which	PRON
ap-1819	121	34	naturally	naturally	ADV
ap-1819	121	35	emerge	emerge	VERB
ap-1819	121	36	not	not	PART
ap-1819	121	37	only	only	ADV
ap-1819	121	38	in	in	ADP
ap-1819	121	39	connection	connection	NOUN
ap-1819	121	40	with	with	ADP
ap-1819	121	41	the	the	DET
ap-1819	121	42	possible	possible	ADJ
ap-1819	121	43	,	,	PUNCT
ap-1819	121	44	uninhibited	uninhibited	ADJ
ap-1819	121	45	encounter	encounter	NOUN
ap-1819	121	46	of	of	ADP
ap-1819	121	47	the	the	DET
ap-1819	121	48	kato	kato	PROPN
ap-1819	121	49	’s	’s	PART
ap-1819	121	50	exceptional	exceptional	ADJ
ap-1819	121	51	points	point	NOUN
ap-1819	121	52	,	,	PUNCT
ap-1819	121	53	say	say	VERB
ap-1819	121	54	,	,	PUNCT
ap-1819	121	55	in	in	ADP
ap-1819	121	56	the	the	DET
ap-1819	121	57	space	space	NOUN
ap-1819	121	58	of	of	ADP
ap-1819	121	59	couplings	coupling	NOUN
ap-1819	121	60	,	,	PUNCT
ap-1819	121	61	but	but	CCONJ
ap-1819	121	62	also	also	ADV
ap-1819	121	63	in	in	ADP
ap-1819	121	64	connection	connection	NOUN
ap-1819	121	65	with	with	ADP
ap-1819	121	66	our	our	PRON
ap-1819	121	67	—	—	PUNCT
ap-1819	121	68	up	up	ADP
ap-1819	121	69	to	to	ADP
ap-1819	121	70	now	now	ADV
ap-1819	121	71	fairly	fairly	ADV
ap-1819	121	72	vague	vague	ADJ
ap-1819	121	73	—	—	PUNCT
ap-1819	121	74	current	current	ADJ
ap-1819	121	75	understanding	understanding	NOUN
ap-1819	121	76	of	of	ADP
ap-1819	121	77	the	the	DET
ap-1819	121	78	representation	representation	NOUN
ap-1819	121	79	theory	theory	NOUN
ap-1819	121	80	of	of	ADP
ap-1819	121	81	hilbert	hilbert	PROPN
ap-1819	121	82	spaces	space	NOUN
ap-1819	121	83	in	in	ADP
ap-1819	121	84	which	which	PRON
ap-1819	121	85	the	the	DET
ap-1819	121	86	operator	operator	NOUN
ap-1819	121	87	of	of	ADP
ap-1819	121	88	metric	metric	ADJ
ap-1819	121	89	is	be	AUX
ap-1819	121	90	admitted	admit	VERB
ap-1819	121	91	non	non	ADJ
ap-1819	121	92	-	-	ADJ
ap-1819	121	93	trivial	trivial	ADJ
ap-1819	121	94	(	(	PUNCT
ap-1819	121	95	cf	cf	NOUN
ap-1819	121	96	.	.	NOUN
ap-1819	121	97	,	,	PUNCT
ap-1819	121	98	e.g.	e.g.	ADV
ap-1819	121	99	,	,	PUNCT
ap-1819	121	100	[	[	X
ap-1819	121	101	23	23	NUM
ap-1819	121	102	,	,	PUNCT
ap-1819	121	103	24	24	NUM
ap-1819	121	104	]	]	PUNCT
ap-1819	121	105	for	for	ADP
ap-1819	121	106	further	further	ADJ
ap-1819	121	107	reading	reading	NOUN
ap-1819	121	108	)	)	PUNCT
ap-1819	121	109	.	.	PUNCT
ap-1819	122	1	acknowledgements	acknowledgement	VERB
ap-1819	122	2	the	the	DET
ap-1819	122	3	support	support	NOUN
ap-1819	122	4	by	by	ADP
ap-1819	122	5	the	the	DET
ap-1819	122	6	gačr	gačr	NOUN
ap-1819	122	7	grant	grant	NOUN
ap-1819	122	8	p203/11/1433	p203/11/1433	PROPN
ap-1819	122	9	is	be	AUX
ap-1819	122	10	acknowledged	acknowledge	VERB
ap-1819	122	11	.	.	PUNCT
ap-1819	123	1	the	the	DET
ap-1819	123	2	author	author	NOUN
ap-1819	123	3	also	also	ADV
ap-1819	123	4	appreciates	appreciate	VERB
ap-1819	123	5	discussions	discussion	NOUN
ap-1819	123	6	with	with	ADP
ap-1819	123	7	ondrej	ondrej	NOUN
ap-1819	123	8	turek	turek	PROPN
ap-1819	123	9	and	and	CCONJ
ap-1819	123	10	taksu	taksu	PROPN
ap-1819	123	11	cheon	cheon	PROPN
ap-1819	123	12	(	(	PUNCT
ap-1819	123	13	kochi	kochi	PROPN
ap-1819	123	14	university	university	NOUN
ap-1819	123	15	)	)	PUNCT
ap-1819	123	16	,	,	PUNCT
ap-1819	123	17	with	with	ADP
ap-1819	123	18	sergii	sergii	PROPN
ap-1819	123	19	kuzhel	kuzhel	PROPN
ap-1819	123	20	(	(	PUNCT
ap-1819	123	21	agh	agh	PROPN
ap-1819	123	22	university	university	PROPN
ap-1819	123	23	in	in	ADP
ap-1819	123	24	cracow	cracow	PROPN
ap-1819	123	25	)	)	PUNCT
ap-1819	124	1	and	and	CCONJ
ap-1819	124	2	,	,	PUNCT
ap-1819	124	3	last	last	ADJ
ap-1819	124	4	but	but	CCONJ
ap-1819	124	5	not	not	PART
ap-1819	124	6	least	least	ADJ
ap-1819	124	7	,	,	PUNCT
ap-1819	124	8	unidirectionally	unidirectionally	ADV
ap-1819	124	9	,	,	PUNCT
ap-1819	124	10	with	with	ADP
ap-1819	124	11	anonymous	anonymous	ADJ
ap-1819	124	12	referees	referee	NOUN
ap-1819	124	13	.	.	PUNCT
ap-1819	125	1	references	reference	NOUN
ap-1819	125	2	[	[	X
ap-1819	125	3	1	1	NUM
ap-1819	125	4	]	]	PUNCT
ap-1819	125	5	p.	p.	NOUN
ap-1819	125	6	exner	exner	NOUN
ap-1819	125	7	,	,	PUNCT
ap-1819	125	8	j.	j.	PROPN
ap-1819	125	9	p.	p.	PROPN
ap-1819	125	10	keating	keating	PROPN
ap-1819	125	11	,	,	PUNCT
ap-1819	125	12	p.	p.	NOUN
ap-1819	125	13	kuchment	kuchment	NOUN
ap-1819	125	14	and	and	CCONJ
ap-1819	125	15	a.	a.	PROPN
ap-1819	125	16	teplyaev	teplyaev	PROPN
ap-1819	125	17	,	,	PUNCT
ap-1819	125	18	analysis	analysis	NOUN
ap-1819	125	19	on	on	ADP
ap-1819	125	20	graphs	graph	NOUN
ap-1819	125	21	and	and	CCONJ
ap-1819	125	22	its	its	PRON
ap-1819	125	23	applications	application	NOUN
ap-1819	125	24	(	(	PUNCT
ap-1819	125	25	ams	am	NOUN
ap-1819	125	26	,	,	PUNCT
ap-1819	125	27	rhode	rhode	NOUN
ap-1819	125	28	island	island	NOUN
ap-1819	125	29	,	,	PUNCT
ap-1819	125	30	2008	2008	NUM
ap-1819	125	31	)	)	PUNCT
ap-1819	125	32	.	.	PUNCT
ap-1819	126	1	[	[	X
ap-1819	126	2	2	2	NUM
ap-1819	126	3	]	]	PUNCT
ap-1819	126	4	c.	c.	PROPN
ap-1819	126	5	m.	m.	PROPN
ap-1819	126	6	bender	bender	PROPN
ap-1819	126	7	,	,	PUNCT
ap-1819	126	8	rep	rep	PROPN
ap-1819	126	9	.	.	PROPN
ap-1819	126	10	prog	prog	PROPN
ap-1819	126	11	.	.	PUNCT
ap-1819	127	1	phys	phy	NOUN
ap-1819	127	2	.	.	PUNCT
ap-1819	128	1	70	70	NUM
ap-1819	128	2	(	(	PUNCT
ap-1819	128	3	2007	2007	NUM
ap-1819	128	4	)	)	PUNCT
ap-1819	128	5	947	947	NUM
ap-1819	128	6	.	.	PUNCT
ap-1819	129	1	[	[	X
ap-1819	129	2	3	3	X
ap-1819	129	3	]	]	PUNCT
ap-1819	129	4	m.	m.	NOUN
ap-1819	129	5	znojil	znojil	PROPN
ap-1819	129	6	,	,	PUNCT
ap-1819	129	7	sigma	sigma	PROPN
ap-1819	129	8	5	5	NUM
ap-1819	129	9	,	,	PUNCT
ap-1819	129	10	001	001	NUM
ap-1819	129	11	(	(	PUNCT
ap-1819	129	12	2009	2009	NUM
ap-1819	129	13	)	)	PUNCT
ap-1819	129	14	,	,	PUNCT
ap-1819	129	15	arxiv:0901.0700	arxiv:0901.0700	NUM
ap-1819	129	16	.	.	PUNCT
ap-1819	130	1	[	[	X
ap-1819	130	2	4	4	X
ap-1819	130	3	]	]	PUNCT
ap-1819	130	4	j.	j.	PROPN
ap-1819	130	5	železný	železný	PROPN
ap-1819	130	6	,	,	PUNCT
ap-1819	130	7	the	the	DET
ap-1819	130	8	krein	krein	NOUN
ap-1819	130	9	-	-	PUNCT
ap-1819	130	10	space	space	NOUN
ap-1819	130	11	theory	theory	NOUN
ap-1819	130	12	for	for	ADP
ap-1819	130	13	non	non	ADJ
ap-1819	130	14	-	-	ADJ
ap-1819	130	15	hermitian	hermitian	ADJ
ap-1819	130	16	pt	pt	ADJ
ap-1819	130	17	-	-	PUNCT
ap-1819	130	18	symmetric	symmetric	ADJ
ap-1819	130	19	operators	operator	NOUN
ap-1819	130	20	(	(	PUNCT
ap-1819	130	21	msc	msc	PROPN
ap-1819	130	22	thesis	thesis	PROPN
ap-1819	130	23	,	,	PUNCT
ap-1819	130	24	fnspe	fnspe	PROPN
ap-1819	130	25	ctu	ctu	PROPN
ap-1819	130	26	,	,	PUNCT
ap-1819	130	27	2011	2011	NUM
ap-1819	130	28	)	)	PUNCT
ap-1819	130	29	;	;	PUNCT
ap-1819	130	30	[	[	X
ap-1819	130	31	5	5	X
ap-1819	130	32	]	]	PUNCT
ap-1819	130	33	p.	p.	NOUN
ap-1819	130	34	siegl	siegl	PROPN
ap-1819	130	35	,	,	PUNCT
ap-1819	130	36	non	non	ADJ
ap-1819	130	37	-	-	ADJ
ap-1819	130	38	hermitian	hermitian	ADJ
ap-1819	130	39	quantum	quantum	NOUN
ap-1819	130	40	models	model	NOUN
ap-1819	130	41	,	,	PUNCT
ap-1819	130	42	indecomposable	indecomposable	ADJ
ap-1819	130	43	representations	representation	NOUN
ap-1819	130	44	and	and	CCONJ
ap-1819	130	45	coherent	coherent	ADJ
ap-1819	130	46	states	state	NOUN
ap-1819	130	47	quantization	quantization	NOUN
ap-1819	130	48	(	(	PUNCT
ap-1819	130	49	phd	phd	NOUN
ap-1819	130	50	thesis	thesis	NOUN
ap-1819	130	51	,	,	PUNCT
ap-1819	130	52	univ	univ	PROPN
ap-1819	130	53	.	.	PUNCT
ap-1819	131	1	paris	paris	PROPN
ap-1819	131	2	diderot	diderot	PROPN
ap-1819	131	3	&	&	CCONJ
ap-1819	131	4	fnspe	fnspe	PROPN
ap-1819	131	5	ctu	ctu	PROPN
ap-1819	131	6	,	,	PUNCT
ap-1819	131	7	2011	2011	NUM
ap-1819	131	8	)	)	PUNCT
ap-1819	131	9	.	.	PUNCT
ap-1819	132	1	[	[	X
ap-1819	132	2	6	6	NUM
ap-1819	132	3	]	]	PUNCT
ap-1819	132	4	m.	m.	NOUN
ap-1819	132	5	znojil	znojil	PROPN
ap-1819	132	6	,	,	PUNCT
ap-1819	132	7	acta	acta	PROPN
ap-1819	132	8	polytechnica	polytechnica	PROPN
ap-1819	132	9	50	50	NUM
ap-1819	132	10	(	(	PUNCT
ap-1819	132	11	2010	2010	NUM
ap-1819	132	12	)	)	PUNCT
ap-1819	132	13	62	62	NUM
ap-1819	132	14	.	.	PUNCT
ap-1819	133	1	[	[	X
ap-1819	133	2	7	7	X
ap-1819	133	3	]	]	PUNCT
ap-1819	133	4	j.	j.	PROPN
ap-1819	133	5	dieudonne	dieudonne	PROPN
ap-1819	133	6	,	,	PUNCT
ap-1819	133	7	proc	proc	NOUN
ap-1819	133	8	.	.	PUNCT
ap-1819	134	1	int	int	NOUN
ap-1819	134	2	.	.	PUNCT
ap-1819	135	1	symp	symp	PROPN
ap-1819	135	2	.	.	PUNCT
ap-1819	136	1	lin	lin	PROPN
ap-1819	136	2	.	.	PUNCT
ap-1819	137	1	spaces	space	NOUN
ap-1819	137	2	(	(	PUNCT
ap-1819	137	3	pergamon	pergamon	NOUN
ap-1819	137	4	,	,	PUNCT
ap-1819	137	5	oxford	oxford	PROPN
ap-1819	137	6	,	,	PUNCT
ap-1819	137	7	1961	1961	NUM
ap-1819	137	8	)	)	PUNCT
ap-1819	137	9	,	,	PUNCT
ap-1819	137	10	p.	p.	NOUN
ap-1819	137	11	115	115	NUM
ap-1819	137	12	.	.	PUNCT
ap-1819	138	1	[	[	X
ap-1819	138	2	8	8	NUM
ap-1819	138	3	]	]	X
ap-1819	138	4	f.	f.	PROPN
ap-1819	138	5	g.	g.	PROPN
ap-1819	138	6	scholtz	scholtz	PROPN
ap-1819	138	7	,	,	PUNCT
ap-1819	138	8	h.	h.	PROPN
ap-1819	138	9	b.	b.	PROPN
ap-1819	138	10	geyer	geyer	PROPN
ap-1819	138	11	and	and	CCONJ
ap-1819	138	12	f.	f.	PROPN
ap-1819	138	13	j.	j.	PROPN
ap-1819	138	14	w.	w.	PROPN
ap-1819	138	15	hahne	hahne	PROPN
ap-1819	138	16	,	,	PUNCT
ap-1819	138	17	ann	ann	PROPN
ap-1819	138	18	.	.	PUNCT
ap-1819	139	1	phys	phys	PROPN
ap-1819	139	2	.	.	PUNCT
ap-1819	140	1	(	(	PUNCT
ap-1819	140	2	ny	ny	NOUN
ap-1819	140	3	)	)	PUNCT
ap-1819	140	4	213	213	NUM
ap-1819	140	5	(	(	PUNCT
ap-1819	140	6	1992	1992	NUM
ap-1819	140	7	)	)	PUNCT
ap-1819	140	8	74	74	NUM
ap-1819	140	9	.	.	PUNCT
ap-1819	141	1	[	[	X
ap-1819	141	2	9	9	NUM
ap-1819	141	3	]	]	PUNCT
ap-1819	141	4	p.	p.	NOUN
ap-1819	141	5	dorey	dorey	PROPN
ap-1819	141	6	,	,	PUNCT
ap-1819	141	7	c.	c.	PROPN
ap-1819	141	8	dunning	dunning	NOUN
ap-1819	141	9	and	and	CCONJ
ap-1819	141	10	r.	r.	NOUN
ap-1819	141	11	tateo	tateo	NOUN
ap-1819	141	12	,	,	PUNCT
ap-1819	141	13	j.	j.	PROPN
ap-1819	141	14	phys	phys	PROPN
ap-1819	141	15	.	.	PUNCT
ap-1819	142	1	a	a	DET
ap-1819	142	2	:	:	PUNCT
ap-1819	142	3	math	math	NOUN
ap-1819	142	4	.	.	PUNCT
ap-1819	143	1	theor	theor	PROPN
ap-1819	143	2	.	.	PUNCT
ap-1819	144	1	40	40	NUM
ap-1819	144	2	(	(	PUNCT
ap-1819	144	3	2007	2007	NUM
ap-1819	144	4	)	)	PUNCT
ap-1819	144	5	r205	r205	PROPN
ap-1819	144	6	and	and	CCONJ
ap-1819	144	7	pramana	pramana	PROPN
ap-1819	144	8	—	—	PUNCT
ap-1819	144	9	j.	j.	PROPN
ap-1819	144	10	phys	phys	PROPN
ap-1819	144	11	.	.	PUNCT
ap-1819	145	1	73	73	NUM
ap-1819	145	2	(	(	PUNCT
ap-1819	145	3	2009	2009	NUM
ap-1819	145	4	)	)	PUNCT
ap-1819	145	5	217	217	NUM
ap-1819	145	6	.	.	PUNCT
ap-1819	146	1	[	[	X
ap-1819	146	2	10	10	NUM
ap-1819	146	3	]	]	PUNCT
ap-1819	146	4	a.	a.	NOUN
ap-1819	146	5	mostafazadeh	mostafazadeh	PROPN
ap-1819	146	6	,	,	PUNCT
ap-1819	146	7	int	int	PROPN
ap-1819	146	8	.	.	PUNCT
ap-1819	147	1	j.	j.	PROPN
ap-1819	147	2	geom	geom	PROPN
ap-1819	147	3	.	.	PUNCT
ap-1819	148	1	meth	meth	PROPN
ap-1819	148	2	.	.	PUNCT
ap-1819	149	1	mod	mod	PROPN
ap-1819	149	2	.	.	PUNCT
ap-1819	150	1	phys	phy	NOUN
ap-1819	150	2	.	.	PUNCT
ap-1819	151	1	7	7	NUM
ap-1819	151	2	(	(	PUNCT
ap-1819	151	3	2010	2010	NUM
ap-1819	151	4	)	)	PUNCT
ap-1819	151	5	1191	1191	NUM
ap-1819	151	6	.	.	PUNCT
ap-1819	152	1	[	[	X
ap-1819	152	2	11	11	NUM
ap-1819	152	3	]	]	PUNCT
ap-1819	152	4	m.	m.	NOUN
ap-1819	152	5	znojil	znojil	NOUN
ap-1819	152	6	,	,	PUNCT
ap-1819	152	7	phys	phy	NOUN
ap-1819	152	8	.	.	PUNCT
ap-1819	152	9	rev	rev	PROPN
ap-1819	152	10	.	.	PROPN
ap-1819	152	11	d.	d.	PROPN
ap-1819	152	12	80	80	NUM
ap-1819	152	13	(	(	PUNCT
ap-1819	152	14	2009	2009	NUM
ap-1819	152	15	)	)	PUNCT
ap-1819	152	16	045022	045022	NUM
ap-1819	152	17	.	.	PUNCT
ap-1819	153	1	[	[	X
ap-1819	153	2	12	12	NUM
ap-1819	153	3	]	]	PUNCT
ap-1819	153	4	m.	m.	NOUN
ap-1819	153	5	znojil	znojil	NOUN
ap-1819	153	6	,	,	PUNCT
ap-1819	153	7	phys	phy	NOUN
ap-1819	153	8	.	.	PUNCT
ap-1819	153	9	rev	rev	PROPN
ap-1819	153	10	.	.	PROPN
ap-1819	153	11	d.	d.	PROPN
ap-1819	153	12	80	80	NUM
ap-1819	153	13	(	(	PUNCT
ap-1819	153	14	2009	2009	NUM
ap-1819	153	15	)	)	PUNCT
ap-1819	153	16	105004	105004	NUM
ap-1819	153	17	.	.	PUNCT
ap-1819	154	1	[	[	X
ap-1819	154	2	13	13	NUM
ap-1819	154	3	]	]	PUNCT
ap-1819	154	4	p.	p.	NOUN
ap-1819	154	5	exner	exner	NOUN
ap-1819	154	6	and	and	CCONJ
ap-1819	154	7	k.	k.	PROPN
ap-1819	154	8	němcová	němcová	PROPN
ap-1819	154	9	,	,	PUNCT
ap-1819	154	10	j.	j.	PROPN
ap-1819	154	11	phys	phys	PROPN
ap-1819	154	12	.	.	PUNCT
ap-1819	155	1	a	a	DET
ap-1819	155	2	:	:	PUNCT
ap-1819	155	3	math	math	NOUN
ap-1819	155	4	.	.	PUNCT
ap-1819	156	1	gen	gen	PROPN
ap-1819	156	2	.	.	PROPN
ap-1819	156	3	36	36	NUM
ap-1819	156	4	(	(	PUNCT
ap-1819	156	5	2003	2003	NUM
ap-1819	156	6	)	)	PUNCT
ap-1819	156	7	10173	10173	NUM
ap-1819	156	8	.	.	PUNCT
ap-1819	157	1	[	[	X
ap-1819	157	2	14	14	NUM
ap-1819	157	3	]	]	PUNCT
ap-1819	157	4	m.	m.	NOUN
ap-1819	157	5	znojil	znojil	PROPN
ap-1819	157	6	,	,	PUNCT
ap-1819	157	7	j.	j.	PROPN
ap-1819	157	8	phys	phys	PROPN
ap-1819	157	9	.	.	PUNCT
ap-1819	158	1	a	a	DET
ap-1819	158	2	:	:	PUNCT
ap-1819	158	3	math	math	NOUN
ap-1819	158	4	.	.	PUNCT
ap-1819	159	1	theor	theor	PROPN
ap-1819	159	2	.	.	PUNCT
ap-1819	160	1	43	43	NUM
ap-1819	160	2	(	(	PUNCT
ap-1819	160	3	2010	2010	NUM
ap-1819	160	4	)	)	PUNCT
ap-1819	160	5	335303	335303	NUM
ap-1819	160	6	;	;	PUNCT
ap-1819	161	1	m.	m.	NOUN
ap-1819	161	2	znojil	znojil	PROPN
ap-1819	161	3	,	,	PUNCT
ap-1819	161	4	int	int	NOUN
ap-1819	161	5	.	.	PUNCT
ap-1819	162	1	j.	j.	PROPN
ap-1819	162	2	theor	theor	PROPN
ap-1819	162	3	.	.	PUNCT
ap-1819	163	1	phys	phy	NOUN
ap-1819	163	2	.	.	PUNCT
ap-1819	164	1	50	50	NUM
ap-1819	164	2	(	(	PUNCT
ap-1819	164	3	2011	2011	NUM
ap-1819	164	4	)	)	PUNCT
ap-1819	164	5	1052	1052	NUM
ap-1819	164	6	and	and	CCONJ
ap-1819	164	7	1614	1614	NUM
ap-1819	164	8	.	.	PUNCT
ap-1819	165	1	[	[	X
ap-1819	165	2	15	15	NUM
ap-1819	165	3	]	]	PUNCT
ap-1819	165	4	m.	m.	NOUN
ap-1819	165	5	znojil	znojil	NOUN
ap-1819	165	6	,	,	PUNCT
ap-1819	165	7	can	can	AUX
ap-1819	165	8	.	.	PUNCT
ap-1819	166	1	j.	j.	PROPN
ap-1819	166	2	phys	phys	PROPN
ap-1819	166	3	.	.	PUNCT
ap-1819	167	1	90	90	NUM
ap-1819	167	2	(	(	PUNCT
ap-1819	167	3	2012	2012	NUM
ap-1819	167	4	)	)	PUNCT
ap-1819	167	5	1287	1287	NUM
ap-1819	167	6	.	.	PUNCT
ap-1819	168	1	[	[	X
ap-1819	168	2	16	16	NUM
ap-1819	168	3	]	]	PUNCT
ap-1819	168	4	m.	m.	NOUN
ap-1819	168	5	znojil	znojil	PROPN
ap-1819	168	6	,	,	PUNCT
ap-1819	168	7	phys	phy	NOUN
ap-1819	168	8	.	.	PUNCT
ap-1819	168	9	rev	rev	PROPN
ap-1819	168	10	.	.	PROPN
ap-1819	168	11	d.	d.	PROPN
ap-1819	168	12	80	80	NUM
ap-1819	168	13	(	(	PUNCT
ap-1819	168	14	2009	2009	NUM
ap-1819	168	15	)	)	PUNCT
ap-1819	168	16	045009	045009	NUM
ap-1819	168	17	.	.	PUNCT
ap-1819	169	1	[	[	X
ap-1819	169	2	17	17	NUM
ap-1819	169	3	]	]	PUNCT
ap-1819	169	4	m.	m.	NOUN
ap-1819	169	5	znojil	znojil	PROPN
ap-1819	169	6	,	,	PUNCT
ap-1819	169	7	sigma	sigma	NOUN
ap-1819	169	8	4	4	NUM
ap-1819	169	9	,	,	PUNCT
ap-1819	169	10	001	001	NUM
ap-1819	169	11	(	(	PUNCT
ap-1819	169	12	2008	2008	NUM
ap-1819	169	13	)	)	PUNCT
ap-1819	169	14	,	,	PUNCT
ap-1819	169	15	arxiv:0710.4432v3	arxiv:0710.4432v3	PROPN
ap-1819	169	16	.	.	PUNCT
ap-1819	170	1	[	[	X
ap-1819	170	2	18	18	NUM
ap-1819	170	3	]	]	X
ap-1819	170	4	h.	h.	PROPN
ap-1819	170	5	hernandez	hernandez	PROPN
ap-1819	170	6	-	-	PUNCT
ap-1819	170	7	coronado	coronado	PROPN
ap-1819	170	8	,	,	PUNCT
ap-1819	170	9	d.	d.	PROPN
ap-1819	170	10	krejcirik	krejcirik	PROPN
ap-1819	170	11	and	and	CCONJ
ap-1819	170	12	p.	p.	PROPN
ap-1819	170	13	siegl	siegl	PROPN
ap-1819	170	14	,	,	PUNCT
ap-1819	170	15	phys	phy	NOUN
ap-1819	170	16	.	.	PUNCT
ap-1819	171	1	lett	lett	PROPN
ap-1819	171	2	.	.	PUNCT
ap-1819	172	1	a	a	DET
ap-1819	172	2	375	375	NUM
ap-1819	172	3	(	(	PUNCT
ap-1819	172	4	2011	2011	NUM
ap-1819	172	5	)	)	PUNCT
ap-1819	172	6	2149	2149	NUM
ap-1819	172	7	.	.	PUNCT
ap-1819	173	1	[	[	X
ap-1819	173	2	19	19	NUM
ap-1819	173	3	]	]	X
ap-1819	173	4	s.	s.	PROPN
ap-1819	173	5	rotter	rotter	PROPN
ap-1819	173	6	,	,	PUNCT
ap-1819	173	7	“	"	PUNCT
ap-1819	173	8	exceptional	exceptional	ADJ
ap-1819	173	9	points	point	NOUN
ap-1819	173	10	in	in	ADP
ap-1819	173	11	open	open	ADJ
ap-1819	173	12	and	and	CCONJ
ap-1819	173	13	closed	closed	ADJ
ap-1819	173	14	gain	gain	NOUN
ap-1819	173	15	-	-	PUNCT
ap-1819	173	16	loss	loss	NOUN
ap-1819	173	17	structures	structure	NOUN
ap-1819	173	18	”	"	PUNCT
ap-1819	173	19	,	,	PUNCT
ap-1819	173	20	http://phhqp11.in2p3.fr/	http://phhqp11.in2p3.fr/	PROPN
ap-1819	173	21	wednesday_29_files	wednesday_29_file	NOUN
ap-1819	173	22	/	/	SYM
ap-1819	173	23	rottersl12.pdf	rottersl12.pdf	NOUN
ap-1819	173	24	[	[	X
ap-1819	173	25	20	20	NUM
ap-1819	173	26	]	]	PUNCT
ap-1819	173	27	t.	t.	PROPN
ap-1819	173	28	kato	kato	PROPN
ap-1819	173	29	,	,	PUNCT
ap-1819	173	30	perturbation	perturbation	NOUN
ap-1819	173	31	theory	theory	NOUN
ap-1819	173	32	for	for	ADP
ap-1819	173	33	linear	linear	PROPN
ap-1819	173	34	operators	operator	NOUN
ap-1819	173	35	(	(	PUNCT
ap-1819	173	36	springer	springer	NOUN
ap-1819	173	37	,	,	PUNCT
ap-1819	173	38	berlin	berlin	PROPN
ap-1819	173	39	,	,	PUNCT
ap-1819	173	40	1966	1966	NUM
ap-1819	173	41	)	)	PUNCT
ap-1819	173	42	.	.	PUNCT
ap-1819	174	1	[	[	X
ap-1819	174	2	21	21	NUM
ap-1819	174	3	]	]	X
ap-1819	174	4	l.	l.	PROPN
ap-1819	174	5	p.	p.	PROPN
ap-1819	174	6	nizhnik	nizhnik	PROPN
ap-1819	174	7	,	,	PUNCT
ap-1819	174	8	methods	method	NOUN
ap-1819	174	9	funct	funct	VERB
ap-1819	174	10	.	.	PUNCT
ap-1819	175	1	anal	anal	PROPN
ap-1819	175	2	.	.	PUNCT
ap-1819	176	1	topology	topology	NOUN
ap-1819	176	2	18	18	NUM
ap-1819	176	3	(	(	PUNCT
ap-1819	176	4	2012	2012	NUM
ap-1819	176	5	)	)	PUNCT
ap-1819	176	6	68	68	NUM
ap-1819	176	7	.	.	PUNCT
ap-1819	177	1	[	[	X
ap-1819	177	2	22	22	NUM
ap-1819	177	3	]	]	X
ap-1819	177	4	c.	c.	PROPN
ap-1819	177	5	e.	e.	PROPN
ap-1819	177	6	rüter	rüter	PROPN
ap-1819	177	7	,	,	PUNCT
ap-1819	177	8	r.	r.	PROPN
ap-1819	177	9	makris	makris	PROPN
ap-1819	177	10	,	,	PUNCT
ap-1819	177	11	k.	k.	PROPN
ap-1819	177	12	g.	g.	PROPN
ap-1819	177	13	el	el	PROPN
ap-1819	177	14	-	-	PUNCT
ap-1819	177	15	ganainy	ganainy	PROPN
ap-1819	177	16	,	,	PUNCT
ap-1819	177	17	d.	d.	PROPN
ap-1819	177	18	n.	n.	PROPN
ap-1819	177	19	christodoulides	christodoulides	PROPN
ap-1819	177	20	,	,	PUNCT
ap-1819	177	21	m.	m.	NOUN
ap-1819	177	22	segev	segev	NOUN
ap-1819	177	23	and	and	CCONJ
ap-1819	177	24	d.	d.	PROPN
ap-1819	177	25	kip	kip	PROPN
ap-1819	177	26	,	,	PUNCT
ap-1819	177	27	nat	nat	PROPN
ap-1819	177	28	.	.	PUNCT
ap-1819	178	1	phys	phy	NOUN
ap-1819	178	2	.	.	PUNCT
ap-1819	179	1	6	6	NUM
ap-1819	179	2	(	(	PUNCT
ap-1819	179	3	2010	2010	NUM
ap-1819	179	4	)	)	PUNCT
ap-1819	179	5	192	192	NUM
ap-1819	179	6	.	.	PUNCT
ap-1819	180	1	[	[	X
ap-1819	180	2	23	23	NUM
ap-1819	180	3	]	]	X
ap-1819	180	4	f.	f.	PROPN
ap-1819	180	5	bagarello	bagarello	PROPN
ap-1819	180	6	and	and	CCONJ
ap-1819	180	7	m.	m.	NOUN
ap-1819	180	8	znojil	znojil	PROPN
ap-1819	180	9	,	,	PUNCT
ap-1819	180	10	j.	j.	PROPN
ap-1819	180	11	phys	phys	PROPN
ap-1819	180	12	.	.	PUNCT
ap-1819	181	1	a	a	DET
ap-1819	181	2	:	:	PUNCT
ap-1819	181	3	math	math	NOUN
ap-1819	181	4	.	.	PUNCT
ap-1819	182	1	theor	theor	PROPN
ap-1819	182	2	.	.	PUNCT
ap-1819	183	1	45	45	NUM
ap-1819	183	2	(	(	PUNCT
ap-1819	183	3	2012	2012	NUM
ap-1819	183	4	)	)	PUNCT
ap-1819	183	5	115311	115311	NUM
ap-1819	183	6	;	;	PUNCT
ap-1819	183	7	a.	a.	NOUN
ap-1819	183	8	mostafazadeh	mostafazadeh	PROPN
ap-1819	183	9	,	,	PUNCT
ap-1819	183	10	phil	phil	PROPN
ap-1819	183	11	.	.	PUNCT
ap-1819	184	1	trans	trans	PROPN
ap-1819	184	2	.	.	PUNCT
ap-1819	184	3	r.	r.	PROPN
ap-1819	184	4	soc	soc	PROPN
ap-1819	184	5	.	.	PUNCT
ap-1819	185	1	a	a	DET
ap-1819	185	2	371	371	NUM
ap-1819	185	3	(	(	PUNCT
ap-1819	185	4	2013	2013	NUM
ap-1819	185	5	)	)	PUNCT
ap-1819	185	6	20120050	20120050	NUM
ap-1819	185	7	.	.	PUNCT
ap-1819	186	1	[	[	X
ap-1819	186	2	24	24	NUM
ap-1819	186	3	]	]	PUNCT
ap-1819	186	4	p.	p.	NOUN
ap-1819	186	5	siegl	siegl	PROPN
ap-1819	186	6	and	and	CCONJ
ap-1819	186	7	d.	d.	PROPN
ap-1819	186	8	krejcirik	krejcirik	PROPN
ap-1819	186	9	,	,	PUNCT
ap-1819	186	10	phys	phy	NOUN
ap-1819	186	11	.	.	PUNCT
ap-1819	187	1	rev	rev	PROPN
ap-1819	187	2	.	.	PUNCT
ap-1819	188	1	d	d	X
ap-1819	188	2	86	86	NUM
ap-1819	188	3	(	(	PUNCT
ap-1819	188	4	2012	2012	NUM
ap-1819	188	5	)	)	PUNCT
ap-1819	188	6	121702(r	121702(r	NUM
ap-1819	188	7	)	)	PUNCT
ap-1819	188	8	.	.	PUNCT
ap-1819	189	1	321	321	NUM
ap-1819	189	2	http://arxiv.org/abs/0901.0700	http://arxiv.org/abs/0901.0700	NOUN
ap-1819	189	3	http://arxiv.org/abs/0710.4432v3	http://arxiv.org/abs/0710.4432v3	PRON
ap-1819	189	4	http://phhqp11.in2p3.fr/wednesday_29_files/rottersl12.pdf	http://phhqp11.in2p3.fr/wednesday_29_files/rottersl12.pdf	PROPN
ap-1819	189	5	http://phhqp11.in2p3.fr/wednesday_29_files/rottersl12.pdf	http://phhqp11.in2p3.fr/wednesday_29_files/rottersl12.pdf	PROPN
ap-1819	189	6	acta	acta	PROPN
ap-1819	189	7	polytechnica	polytechnica	PROPN
ap-1819	189	8	53(3):317–321	53(3):317–321	PROPN
ap-1819	189	9	,	,	PUNCT
ap-1819	189	10	2013	2013	NUM
ap-1819	189	11	1	1	NUM
ap-1819	189	12	the	the	DET
ap-1819	189	13	concept	concept	NOUN
ap-1819	189	14	of	of	ADP
ap-1819	189	15	quantum	quantum	NOUN
ap-1819	189	16	graphs	graph	NOUN
ap-1819	189	17	2	2	NUM
ap-1819	189	18	the	the	DET
ap-1819	189	19	concept	concept	NOUN
ap-1819	189	20	of	of	ADP
ap-1819	189	21	crypto	crypto	NOUN
ap-1819	189	22	-	-	NOUN
ap-1819	189	23	hermiticity	hermiticity	NOUN
ap-1819	189	24	3	3	NUM
ap-1819	189	25	the	the	DET
ap-1819	189	26	concept	concept	NOUN
ap-1819	189	27	of	of	ADP
ap-1819	189	28	crypto	crypto	ADJ
ap-1819	189	29	-	-	ADJ
ap-1819	189	30	hermitian	hermitian	ADJ
ap-1819	189	31	quantum	quantum	NOUN
ap-1819	189	32	graphs	graph	NOUN
ap-1819	189	33	4	4	NUM
ap-1819	189	34	the	the	DET
ap-1819	189	35	simplifications	simplification	NOUN
ap-1819	189	36	of	of	ADP
ap-1819	189	37	kinematics	kinematic	NOUN
ap-1819	189	38	5	5	NUM
ap-1819	189	39	the	the	DET
ap-1819	189	40	simplifications	simplification	NOUN
ap-1819	189	41	of	of	ADP
ap-1819	189	42	dynamics	dynamic	NOUN
ap-1819	189	43	6	6	NUM
ap-1819	189	44	an	an	DET
ap-1819	189	45	illustrative	illustrative	NOUN
ap-1819	189	46	,	,	PUNCT
ap-1819	189	47	exactly	exactly	ADV
ap-1819	189	48	solvable	solvable	ADJ
ap-1819	189	49	star	star	NOUN
ap-1819	189	50	-	-	PUNCT
ap-1819	189	51	shaped	shape	VERB
ap-1819	189	52	1d	1d	NUM
ap-1819	189	53	quantum	quantum	NOUN
ap-1819	189	54	graph	graph	NOUN
ap-1819	189	55	7	7	NUM
ap-1819	189	56	summary	summary	NOUN
ap-1819	189	57	and	and	CCONJ
ap-1819	189	58	outlook	outlook	NOUN
ap-1819	189	59	acknowledgements	acknowledgement	NOUN
ap-1819	189	60	references	reference	NOUN