id	sid	tid	token	lemma	pos
ap-2077	1	1	acta	acta	PROPN
ap-2077	1	2	polytechnica	polytechnica	PROPN
ap-2077	1	3	doi:10.14311	doi:10.14311	PROPN
ap-2077	1	4	/	/	SYM
ap-2077	1	5	ap.2014.54.0101	ap.2014.54.0101	PROPN
ap-2077	1	6	acta	acta	PROPN
ap-2077	1	7	polytechnica	polytechnica	PROPN
ap-2077	1	8	54(2):101–105	54(2):101–105	PROPN
ap-2077	1	9	,	,	PUNCT
ap-2077	1	10	2014	2014	NUM
ap-2077	1	11	©	©	PROPN
ap-2077	1	12	czech	czech	PROPN
ap-2077	1	13	technical	technical	PROPN
ap-2077	1	14	university	university	PROPN
ap-2077	1	15	in	in	ADP
ap-2077	1	16	prague	prague	PROPN
ap-2077	1	17	,	,	PUNCT
ap-2077	1	18	2014	2014	NUM
ap-2077	1	19	available	available	ADJ
ap-2077	1	20	online	online	ADV
ap-2077	1	21	at	at	ADP
ap-2077	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2077	1	23	semiclassical	semiclassical	ADJ
ap-2077	1	24	asymptotics	asymptotic	NOUN
ap-2077	1	25	of	of	ADP
ap-2077	1	26	eigenvalues	eigenvalue	NOUN
ap-2077	1	27	for	for	ADP
ap-2077	1	28	non	non	ADJ
ap-2077	1	29	-	-	ADJ
ap-2077	1	30	selfadjoint	selfadjoint	ADJ
ap-2077	1	31	operators	operator	NOUN
ap-2077	1	32	and	and	CCONJ
ap-2077	1	33	quantization	quantization	NOUN
ap-2077	1	34	conditions	condition	NOUN
ap-2077	1	35	on	on	ADP
ap-2077	1	36	riemann	riemann	PROPN
ap-2077	1	37	surfaces	surfaces	PROPN
ap-2077	1	38	anna	anna	PROPN
ap-2077	1	39	i.	i.	PROPN
ap-2077	1	40	esinab	esinab	PROPN
ap-2077	1	41	,	,	PUNCT
ap-2077	1	42	andrei	andrei	PROPN
ap-2077	1	43	i.	i.	PROPN
ap-2077	1	44	shafarevicha,∗	shafarevicha,∗	PROPN
ap-2077	1	45	a	a	DET
ap-2077	1	46	m.v	m.v	PROPN
ap-2077	1	47	.	.	PUNCT
ap-2077	2	1	lomonosov	lomonosov	PROPN
ap-2077	2	2	moscow	moscow	PROPN
ap-2077	2	3	state	state	PROPN
ap-2077	2	4	university	university	PROPN
ap-2077	2	5	,	,	PUNCT
ap-2077	2	6	leninskie	leninskie	PROPN
ap-2077	2	7	gory	gory	NOUN
ap-2077	2	8	,	,	PUNCT
ap-2077	2	9	1	1	NUM
ap-2077	2	10	,	,	PUNCT
ap-2077	2	11	moscow	moscow	PROPN
ap-2077	2	12	,	,	PUNCT
ap-2077	2	13	russia	russia	PROPN
ap-2077	2	14	b	b	PROPN
ap-2077	2	15	institute	institute	PROPN
ap-2077	2	16	for	for	ADP
ap-2077	2	17	problems	problem	NOUN
ap-2077	2	18	in	in	ADP
ap-2077	2	19	mechanics	mechanic	NOUN
ap-2077	2	20	,	,	PUNCT
ap-2077	2	21	russian	russian	ADJ
ap-2077	2	22	academy	academy	PROPN
ap-2077	2	23	of	of	ADP
ap-2077	2	24	sciences	sciences	PROPN
ap-2077	2	25	,	,	PUNCT
ap-2077	2	26	prospekt	prospekt	NOUN
ap-2077	2	27	vernadskogo	vernadskogo	NOUN
ap-2077	2	28	,	,	PUNCT
ap-2077	2	29	101	101	NUM
ap-2077	2	30	,	,	PUNCT
ap-2077	2	31	moscow	moscow	PROPN
ap-2077	2	32	,	,	PUNCT
ap-2077	2	33	russia	russia	PROPN
ap-2077	2	34	∗	∗	NOUN
ap-2077	2	35	corresponding	correspond	VERB
ap-2077	2	36	author	author	NOUN
ap-2077	2	37	:	:	PUNCT
ap-2077	2	38	shafarev@yahoo.com	shafarev@yahoo.com	X
ap-2077	2	39	abstract	abstract	ADJ
ap-2077	2	40	.	.	PUNCT
ap-2077	3	1	this	this	DET
ap-2077	3	2	paper	paper	NOUN
ap-2077	3	3	reports	report	VERB
ap-2077	3	4	a	a	DET
ap-2077	3	5	study	study	NOUN
ap-2077	3	6	of	of	ADP
ap-2077	3	7	the	the	DET
ap-2077	3	8	semiclassical	semiclassical	ADJ
ap-2077	3	9	asymptotic	asymptotic	ADJ
ap-2077	3	10	behavior	behavior	NOUN
ap-2077	3	11	of	of	ADP
ap-2077	3	12	the	the	DET
ap-2077	3	13	eigenvalues	eigenvalue	NOUN
ap-2077	3	14	of	of	ADP
ap-2077	3	15	some	some	DET
ap-2077	3	16	nonself	nonself	NOUN
ap-2077	3	17	-	-	PUNCT
ap-2077	3	18	adjoint	adjoint	PROPN
ap-2077	3	19	operators	operator	NOUN
ap-2077	3	20	that	that	PRON
ap-2077	3	21	are	be	AUX
ap-2077	3	22	important	important	ADJ
ap-2077	3	23	for	for	ADP
ap-2077	3	24	applications	application	NOUN
ap-2077	3	25	.	.	PUNCT
ap-2077	4	1	these	these	DET
ap-2077	4	2	operators	operator	NOUN
ap-2077	4	3	are	be	AUX
ap-2077	4	4	the	the	DET
ap-2077	4	5	schrödinger	schrödinger	ADJ
ap-2077	4	6	operator	operator	NOUN
ap-2077	4	7	with	with	ADP
ap-2077	4	8	complex	complex	ADJ
ap-2077	4	9	periodic	periodic	ADJ
ap-2077	4	10	potential	potential	NOUN
ap-2077	4	11	and	and	CCONJ
ap-2077	4	12	the	the	DET
ap-2077	4	13	operator	operator	NOUN
ap-2077	4	14	of	of	ADP
ap-2077	4	15	induction	induction	NOUN
ap-2077	4	16	.	.	PUNCT
ap-2077	5	1	it	it	PRON
ap-2077	5	2	turns	turn	VERB
ap-2077	5	3	out	out	ADP
ap-2077	5	4	that	that	SCONJ
ap-2077	5	5	the	the	DET
ap-2077	5	6	asymptotics	asymptotic	NOUN
ap-2077	5	7	of	of	ADP
ap-2077	5	8	the	the	DET
ap-2077	5	9	spectrum	spectrum	NOUN
ap-2077	5	10	can	can	AUX
ap-2077	5	11	be	be	AUX
ap-2077	5	12	calculated	calculate	VERB
ap-2077	5	13	using	use	VERB
ap-2077	5	14	the	the	DET
ap-2077	5	15	quantization	quantization	NOUN
ap-2077	5	16	conditions	condition	NOUN
ap-2077	5	17	.	.	PUNCT
ap-2077	6	1	these	these	PRON
ap-2077	6	2	can	can	AUX
ap-2077	6	3	be	be	AUX
ap-2077	6	4	represented	represent	VERB
ap-2077	6	5	as	as	ADP
ap-2077	6	6	the	the	DET
ap-2077	6	7	condition	condition	NOUN
ap-2077	6	8	that	that	SCONJ
ap-2077	6	9	the	the	DET
ap-2077	6	10	integrals	integral	NOUN
ap-2077	6	11	of	of	ADP
ap-2077	6	12	a	a	DET
ap-2077	6	13	holomorphic	holomorphic	ADJ
ap-2077	6	14	form	form	NOUN
ap-2077	6	15	over	over	ADP
ap-2077	6	16	the	the	DET
ap-2077	6	17	cycles	cycle	NOUN
ap-2077	6	18	on	on	ADP
ap-2077	6	19	the	the	DET
ap-2077	6	20	corresponding	corresponding	ADJ
ap-2077	6	21	complex	complex	ADJ
ap-2077	6	22	lagrangian	lagrangian	ADJ
ap-2077	6	23	manifold	manifold	NOUN
ap-2077	6	24	,	,	PUNCT
ap-2077	6	25	which	which	PRON
ap-2077	6	26	is	be	AUX
ap-2077	6	27	a	a	DET
ap-2077	6	28	riemann	riemann	PROPN
ap-2077	6	29	surface	surface	NOUN
ap-2077	6	30	of	of	ADP
ap-2077	6	31	constant	constant	ADJ
ap-2077	6	32	energy	energy	NOUN
ap-2077	6	33	,	,	PUNCT
ap-2077	6	34	are	be	AUX
ap-2077	6	35	integers	integer	NOUN
ap-2077	6	36	.	.	PUNCT
ap-2077	7	1	in	in	ADP
ap-2077	7	2	contrast	contrast	NOUN
ap-2077	7	3	to	to	ADP
ap-2077	7	4	the	the	DET
ap-2077	7	5	real	real	ADJ
ap-2077	7	6	case	case	NOUN
ap-2077	7	7	(	(	PUNCT
ap-2077	7	8	the	the	DET
ap-2077	7	9	bohr	bohr	PROPN
ap-2077	7	10	–	–	PUNCT
ap-2077	7	11	sommerfeld	sommerfeld	ADJ
ap-2077	7	12	–	–	PUNCT
ap-2077	7	13	maslov	maslov	NOUN
ap-2077	7	14	formulas	formula	NOUN
ap-2077	7	15	)	)	PUNCT
ap-2077	7	16	,	,	PUNCT
ap-2077	7	17	in	in	ADP
ap-2077	7	18	order	order	NOUN
ap-2077	7	19	to	to	PART
ap-2077	7	20	calculate	calculate	VERB
ap-2077	7	21	a	a	DET
ap-2077	7	22	chosen	choose	VERB
ap-2077	7	23	spectral	spectral	ADJ
ap-2077	7	24	series	series	NOUN
ap-2077	7	25	,	,	PUNCT
ap-2077	7	26	it	it	PRON
ap-2077	7	27	is	be	AUX
ap-2077	7	28	sufficient	sufficient	ADJ
ap-2077	7	29	to	to	PART
ap-2077	7	30	assume	assume	VERB
ap-2077	7	31	that	that	SCONJ
ap-2077	7	32	the	the	DET
ap-2077	7	33	integral	integral	ADJ
ap-2077	7	34	over	over	ADP
ap-2077	7	35	only	only	ADV
ap-2077	7	36	one	one	NUM
ap-2077	7	37	of	of	ADP
ap-2077	7	38	the	the	DET
ap-2077	7	39	cycles	cycle	NOUN
ap-2077	7	40	takes	take	VERB
ap-2077	7	41	integer	integer	NOUN
ap-2077	7	42	values	value	NOUN
ap-2077	7	43	,	,	PUNCT
ap-2077	7	44	and	and	CCONJ
ap-2077	7	45	different	different	ADJ
ap-2077	7	46	cycles	cycle	NOUN
ap-2077	7	47	determine	determine	VERB
ap-2077	7	48	different	different	ADJ
ap-2077	7	49	parts	part	NOUN
ap-2077	7	50	of	of	ADP
ap-2077	7	51	the	the	DET
ap-2077	7	52	spectrum	spectrum	NOUN
ap-2077	7	53	.	.	PUNCT
ap-2077	8	1	keywords	keyword	NOUN
ap-2077	8	2	:	:	PUNCT
ap-2077	8	3	semiclassical	semiclassical	ADJ
ap-2077	8	4	asymptotics	asymptotic	NOUN
ap-2077	8	5	,	,	PUNCT
ap-2077	8	6	quantization	quantization	NOUN
ap-2077	8	7	conditions	condition	NOUN
ap-2077	8	8	,	,	PUNCT
ap-2077	8	9	riemann	riemann	PROPN
ap-2077	8	10	surface	surface	PROPN
ap-2077	8	11	,	,	PUNCT
ap-2077	8	12	spectral	spectral	ADJ
ap-2077	8	13	graph	graph	NOUN
ap-2077	8	14	.	.	PUNCT
ap-2077	9	1	1	1	X
ap-2077	9	2	.	.	X
ap-2077	9	3	introduction	introduction	NOUN
ap-2077	9	4	one	one	NUM
ap-2077	9	5	of	of	ADP
ap-2077	9	6	the	the	DET
ap-2077	9	7	main	main	ADJ
ap-2077	9	8	problems	problem	NOUN
ap-2077	9	9	of	of	ADP
ap-2077	9	10	the	the	DET
ap-2077	9	11	semiclassical	semiclassical	ADJ
ap-2077	9	12	theory	theory	NOUN
ap-2077	9	13	(	(	PUNCT
ap-2077	9	14	see	see	VERB
ap-2077	9	15	,	,	PUNCT
ap-2077	9	16	for	for	ADP
ap-2077	9	17	example	example	NOUN
ap-2077	9	18	,	,	PUNCT
ap-2077	9	19	[	[	X
ap-2077	9	20	1	1	NUM
ap-2077	9	21	]	]	PUNCT
ap-2077	9	22	)	)	PUNCT
ap-2077	9	23	is	be	AUX
ap-2077	9	24	the	the	DET
ap-2077	9	25	description	description	NOUN
ap-2077	9	26	of	of	ADP
ap-2077	9	27	the	the	DET
ap-2077	9	28	asymptotic	asymptotic	ADJ
ap-2077	9	29	behavior	behavior	NOUN
ap-2077	9	30	of	of	ADP
ap-2077	9	31	the	the	DET
ap-2077	9	32	spectrum	spectrum	NOUN
ap-2077	9	33	of	of	ADP
ap-2077	9	34	operators	operator	NOUN
ap-2077	9	35	of	of	ADP
ap-2077	9	36	the	the	DET
ap-2077	9	37	form	form	NOUN
ap-2077	9	38	ĥ	ĥ	PUNCT
ap-2077	9	39	=	=	SYM
ap-2077	9	40	h(x,−ıh	h(x,−ıh	ADJ
ap-2077	9	41	∂	∂	NUM
ap-2077	9	42	∂x	∂x	PROPN
ap-2077	9	43	)	)	PUNCT
ap-2077	9	44	,	,	PUNCT
ap-2077	9	45	h→	h→	NOUN
ap-2077	9	46	0	0	NUM
ap-2077	9	47	.	.	PUNCT
ap-2077	10	1	in	in	ADP
ap-2077	10	2	this	this	DET
ap-2077	10	3	case	case	NOUN
ap-2077	10	4	,	,	PUNCT
ap-2077	10	5	the	the	DET
ap-2077	10	6	problem	problem	NOUN
ap-2077	10	7	can	can	AUX
ap-2077	10	8	naturally	naturally	ADV
ap-2077	10	9	be	be	AUX
ap-2077	10	10	divided	divide	VERB
ap-2077	10	11	into	into	ADP
ap-2077	10	12	two	two	NUM
ap-2077	10	13	subproblems	subproblem	NOUN
ap-2077	10	14	,	,	PUNCT
ap-2077	10	15	namely	namely	ADV
ap-2077	10	16	:	:	PUNCT
ap-2077	10	17	(	(	PUNCT
ap-2077	10	18	1	1	NUM
ap-2077	10	19	.	.	PUNCT
ap-2077	10	20	)	)	PUNCT
ap-2077	10	21	to	to	PART
ap-2077	10	22	solve	solve	VERB
ap-2077	10	23	the	the	DET
ap-2077	10	24	spectral	spectral	ADJ
ap-2077	10	25	equation	equation	NOUN
ap-2077	10	26	approximately	approximately	ADV
ap-2077	10	27	,	,	PUNCT
ap-2077	10	28	i.e.	i.e.	X
ap-2077	10	29	,	,	PUNCT
ap-2077	10	30	to	to	PART
ap-2077	10	31	find	find	VERB
ap-2077	10	32	numbers	number	NOUN
ap-2077	10	33	λ	λ	PROPN
ap-2077	10	34	and	and	CCONJ
ap-2077	10	35	functions	function	NOUN
ap-2077	10	36	ψ	ψ	NOUN
ap-2077	10	37	,	,	PUNCT
ap-2077	10	38	satisfying	satisfy	VERB
ap-2077	10	39	the	the	DET
ap-2077	10	40	following	follow	VERB
ap-2077	10	41	equation	equation	NOUN
ap-2077	10	42	for	for	ADP
ap-2077	10	43	some	some	DET
ap-2077	10	44	n	n	NOUN
ap-2077	10	45	>	>	X
ap-2077	10	46	1	1	NUM
ap-2077	10	47	:	:	PUNCT
ap-2077	10	48	ĥψ	ĥψ	X
ap-2077	10	49	=	=	PUNCT
ap-2077	10	50	λψ	λψ	ADP
ap-2077	10	51	+	+	NOUN
ap-2077	10	52	o(hn	o(hn	X
ap-2077	10	53	)	)	PUNCT
ap-2077	10	54	;	;	PUNCT
ap-2077	10	55	(	(	PUNCT
ap-2077	10	56	1	1	X
ap-2077	10	57	)	)	PUNCT
ap-2077	10	58	(	(	PUNCT
ap-2077	10	59	2	2	NUM
ap-2077	10	60	.	.	PUNCT
ap-2077	10	61	)	)	PUNCT
ap-2077	10	62	to	to	PART
ap-2077	10	63	choose	choose	VERB
ap-2077	10	64	numbers	number	NOUN
ap-2077	10	65	of	of	ADP
ap-2077	10	66	the	the	DET
ap-2077	10	67	form	form	NOUN
ap-2077	10	68	λ	λ	PROPN
ap-2077	10	69	that	that	PRON
ap-2077	10	70	approach	approach	VERB
ap-2077	10	71	spectral	spectral	ADJ
ap-2077	10	72	points	point	NOUN
ap-2077	10	73	of	of	ADP
ap-2077	10	74	the	the	DET
ap-2077	10	75	operator	operator	NOUN
ap-2077	10	76	ĥ	ĥ	NOUN
ap-2077	10	77	,	,	PUNCT
ap-2077	10	78	i.e.	i.e.	X
ap-2077	10	79	,	,	PUNCT
ap-2077	10	80	to	to	PART
ap-2077	10	81	choose	choose	VERB
ap-2077	10	82	points	point	NOUN
ap-2077	10	83	λ	λ	INTJ
ap-2077	10	84	such	such	ADJ
ap-2077	10	85	that	that	DET
ap-2077	10	86	|λ−	|λ−	NOUN
ap-2077	10	87	λ0|	λ0|	X
ap-2077	10	88	=	=	SYM
ap-2077	10	89	o(hn	o(hn	X
ap-2077	10	90	)	)	PUNCT
ap-2077	10	91	(	(	PUNCT
ap-2077	10	92	2	2	X
ap-2077	10	93	)	)	PUNCT
ap-2077	10	94	for	for	ADP
ap-2077	10	95	some	some	DET
ap-2077	10	96	point	point	NOUN
ap-2077	10	97	λ0	λ0	NOUN
ap-2077	10	98	of	of	ADP
ap-2077	10	99	the	the	DET
ap-2077	10	100	spectrum	spectrum	NOUN
ap-2077	10	101	of	of	ADP
ap-2077	10	102	operator	operator	NOUN
ap-2077	10	103	ĥ.	ĥ.	NOUN
ap-2077	10	104	if	if	SCONJ
ap-2077	10	105	operator	operator	NOUN
ap-2077	10	106	ĥ	ĥ	X
ap-2077	10	107	is	be	AUX
ap-2077	10	108	self	self	NOUN
ap-2077	10	109	-	-	PUNCT
ap-2077	10	110	adjoint	adjoint	NOUN
ap-2077	10	111	,	,	PUNCT
ap-2077	10	112	then	then	ADV
ap-2077	10	113	the	the	DET
ap-2077	10	114	estimate	estimate	NOUN
ap-2077	10	115	(	(	PUNCT
ap-2077	10	116	2	2	X
ap-2077	10	117	)	)	PUNCT
ap-2077	10	118	automatically	automatically	ADV
ap-2077	10	119	follows	follow	VERB
ap-2077	10	120	from	from	ADP
ap-2077	10	121	equation	equation	NOUN
ap-2077	10	122	(	(	PUNCT
ap-2077	10	123	1	1	NUM
ap-2077	10	124	)	)	PUNCT
ap-2077	10	125	(	(	PUNCT
ap-2077	10	126	see	see	VERB
ap-2077	10	127	,	,	PUNCT
ap-2077	10	128	e.g.	e.g.	ADV
ap-2077	10	129	,	,	PUNCT
ap-2077	10	130	[	[	X
ap-2077	10	131	1	1	NUM
ap-2077	10	132	–	–	PUNCT
ap-2077	10	133	3	3	NUM
ap-2077	10	134	]	]	PUNCT
ap-2077	10	135	)	)	PUNCT
ap-2077	10	136	.	.	PUNCT
ap-2077	11	1	at	at	ADP
ap-2077	11	2	the	the	DET
ap-2077	11	3	same	same	ADJ
ap-2077	11	4	time	time	NOUN
ap-2077	11	5	,	,	PUNCT
ap-2077	11	6	the	the	DET
ap-2077	11	7	first	first	ADJ
ap-2077	11	8	problem	problem	NOUN
ap-2077	11	9	is	be	AUX
ap-2077	11	10	highly	highly	ADV
ap-2077	11	11	nontrivial	nontrivial	ADJ
ap-2077	11	12	and	and	CCONJ
ap-2077	11	13	is	be	AUX
ap-2077	11	14	related	relate	VERB
ap-2077	11	15	to	to	ADP
ap-2077	11	16	the	the	DET
ap-2077	11	17	study	study	NOUN
ap-2077	11	18	of	of	ADP
ap-2077	11	19	invariant	invariant	ADJ
ap-2077	11	20	sets	set	NOUN
ap-2077	11	21	of	of	ADP
ap-2077	11	22	the	the	DET
ap-2077	11	23	corresponding	corresponding	ADJ
ap-2077	11	24	classical	classical	ADJ
ap-2077	11	25	hamiltonian	hamiltonian	ADJ
ap-2077	11	26	system	system	NOUN
ap-2077	11	27	.	.	PUNCT
ap-2077	12	1	recall	recall	VERB
ap-2077	12	2	how	how	SCONJ
ap-2077	12	3	to	to	PART
ap-2077	12	4	solve	solve	VERB
ap-2077	12	5	this	this	DET
ap-2077	12	6	problem	problem	NOUN
ap-2077	12	7	(	(	PUNCT
ap-2077	12	8	1	1	X
ap-2077	12	9	)	)	PUNCT
ap-2077	12	10	in	in	ADP
ap-2077	12	11	the	the	DET
ap-2077	12	12	integrable	integrable	ADJ
ap-2077	12	13	case	case	NOUN
ap-2077	12	14	.	.	PUNCT
ap-2077	13	1	let	let	VERB
ap-2077	13	2	h(x	h(x	PROPN
ap-2077	13	3	,	,	PUNCT
ap-2077	13	4	p	p	NOUN
ap-2077	13	5	)	)	PUNCT
ap-2077	13	6	:	:	PUNCT
ap-2077	14	1	r2n	r2n	NOUN
ap-2077	14	2	→	→	PUNCT
ap-2077	14	3	r	r	NOUN
ap-2077	14	4	be	be	AUX
ap-2077	14	5	a	a	DET
ap-2077	14	6	smooth	smooth	ADJ
ap-2077	14	7	function	function	NOUN
ap-2077	14	8	,	,	PUNCT
ap-2077	14	9	and	and	CCONJ
ap-2077	14	10	let	let	VERB
ap-2077	14	11	the	the	DET
ap-2077	14	12	hamiltonian	hamiltonian	ADJ
ap-2077	14	13	system	system	NOUN
ap-2077	14	14	defined	define	VERB
ap-2077	14	15	by	by	ADP
ap-2077	14	16	function	function	NOUN
ap-2077	14	17	h	h	NOUN
ap-2077	14	18	be	be	AUX
ap-2077	14	19	liouville	liouville	VERB
ap-2077	14	20	integrable	integrable	ADJ
ap-2077	14	21	.	.	PUNCT
ap-2077	15	1	let	let	VERB
ap-2077	15	2	f1	f1	NOUN
ap-2077	15	3	=	=	SYM
ap-2077	15	4	h	h	NOUN
ap-2077	15	5	,	,	PUNCT
ap-2077	15	6	.	.	PUNCT
ap-2077	15	7	.	.	PUNCT
ap-2077	16	1	.	.	PUNCT
ap-2077	17	1	,	,	PUNCT
ap-2077	17	2	fn	fn	ADV
ap-2077	17	3	be	be	AUX
ap-2077	17	4	the	the	DET
ap-2077	17	5	commuting	commute	VERB
ap-2077	17	6	first	first	ADJ
ap-2077	17	7	integrals	integral	NOUN
ap-2077	17	8	;	;	PUNCT
ap-2077	17	9	consider	consider	VERB
ap-2077	17	10	the	the	DET
ap-2077	17	11	domain	domain	NOUN
ap-2077	17	12	of	of	ADP
ap-2077	17	13	the	the	DET
ap-2077	17	14	phase	phase	NOUN
ap-2077	17	15	space	space	NOUN
ap-2077	17	16	smoothly	smoothly	ADV
ap-2077	17	17	fibered	fibere	VERB
ap-2077	17	18	into	into	ADP
ap-2077	17	19	liouville	liouville	PROPN
ap-2077	17	20	tori	tori	PROPN
ap-2077	17	21	λ	λ	PROPN
ap-2077	17	22	which	which	PRON
ap-2077	17	23	are	be	AUX
ap-2077	17	24	the	the	DET
ap-2077	17	25	compact	compact	ADJ
ap-2077	17	26	connected	connect	VERB
ap-2077	17	27	components	component	NOUN
ap-2077	17	28	of	of	ADP
ap-2077	17	29	the	the	DET
ap-2077	17	30	common	common	ADJ
ap-2077	17	31	level	level	NOUN
ap-2077	17	32	sets	set	NOUN
ap-2077	17	33	of	of	ADP
ap-2077	17	34	the	the	DET
ap-2077	17	35	form	form	NOUN
ap-2077	17	36	fj	fj	X
ap-2077	17	37	=	=	PUNCT
ap-2077	17	38	cj	cj	NOUN
ap-2077	17	39	.	.	PUNCT
ap-2077	18	1	we	we	PRON
ap-2077	18	2	assume	assume	VERB
ap-2077	18	3	that	that	SCONJ
ap-2077	18	4	the	the	DET
ap-2077	18	5	weyl	weyl	VERB
ap-2077	18	6	operator	operator	NOUN
ap-2077	18	7	ĥ	ĥ	X
ap-2077	18	8	is	be	AUX
ap-2077	18	9	self	self	NOUN
ap-2077	18	10	-	-	PUNCT
ap-2077	18	11	adjoint	adjoint	NOUN
ap-2077	18	12	in	in	ADP
ap-2077	18	13	l2(rnx	l2(rnx	PROPN
ap-2077	18	14	)	)	PUNCT
ap-2077	18	15	.	.	PUNCT
ap-2077	19	1	the	the	DET
ap-2077	19	2	following	follow	VERB
ap-2077	19	3	theorem	theorem	NOUN
ap-2077	19	4	is	be	AUX
ap-2077	19	5	due	due	ADJ
ap-2077	19	6	to	to	ADP
ap-2077	19	7	v.	v.	PROPN
ap-2077	19	8	p.	p.	PROPN
ap-2077	19	9	maslov	maslov	PROPN
ap-2077	19	10	.	.	PUNCT
ap-2077	20	1	theorem	theorem	NOUN
ap-2077	20	2	1	1	NUM
ap-2077	20	3	.	.	PUNCT
ap-2077	20	4	suppose	suppose	VERB
ap-2077	20	5	that	that	SCONJ
ap-2077	20	6	a	a	DET
ap-2077	20	7	liouville	liouville	NOUN
ap-2077	20	8	torus	torus	NOUN
ap-2077	20	9	λ	λ	PROPN
ap-2077	20	10	satisfies	satisfy	VERB
ap-2077	20	11	the	the	DET
ap-2077	20	12	following	follow	VERB
ap-2077	20	13	conditions	condition	NOUN
ap-2077	20	14	(	(	PUNCT
ap-2077	20	15	the	the	DET
ap-2077	20	16	so	so	ADV
ap-2077	20	17	-	-	PUNCT
ap-2077	20	18	called	call	VERB
ap-2077	20	19	bohr	bohr	NOUN
ap-2077	20	20	–	–	PUNCT
ap-2077	20	21	sommerfeld	sommerfeld	ADJ
ap-2077	20	22	–	–	PUNCT
ap-2077	20	23	maslov	maslov	NOUN
ap-2077	20	24	quantization	quantization	NOUN
ap-2077	20	25	rules	rule	NOUN
ap-2077	20	26	,	,	PUNCT
ap-2077	20	27	see	see	VERB
ap-2077	20	28	[	[	X
ap-2077	20	29	1	1	NUM
ap-2077	20	30	,	,	PUNCT
ap-2077	20	31	2	2	NUM
ap-2077	20	32	,	,	PUNCT
ap-2077	20	33	4	4	NUM
ap-2077	20	34	,	,	PUNCT
ap-2077	20	35	5	5	NUM
ap-2077	20	36	]	]	PUNCT
ap-2077	20	37	):	):	PUNCT
ap-2077	20	38	1	1	NUM
ap-2077	20	39	2πh	2πh	ADJ
ap-2077	20	40	∫	∫	PROPN
ap-2077	20	41	γ	γ	X
ap-2077	20	42	(	(	PUNCT
ap-2077	20	43	p	p	PROPN
ap-2077	20	44	,	,	PUNCT
ap-2077	20	45	dx	dx	PROPN
ap-2077	20	46	)	)	PUNCT
ap-2077	20	47	=	=	SYM
ap-2077	20	48	m+	m+	NUM
ap-2077	20	49	µ(γ	µ(γ	NOUN
ap-2077	20	50	)	)	PUNCT
ap-2077	20	51	4	4	NUM
ap-2077	20	52	,	,	PUNCT
ap-2077	20	53	(	(	PUNCT
ap-2077	20	54	3	3	X
ap-2077	20	55	)	)	PUNCT
ap-2077	20	56	where	where	SCONJ
ap-2077	20	57	m	m	VERB
ap-2077	20	58	=	=	ADJ
ap-2077	20	59	o(1	o(1	PROPN
ap-2077	20	60	/	/	SYM
ap-2077	20	61	h	h	NOUN
ap-2077	20	62	)	)	PUNCT
ap-2077	20	63	∈	∈	PROPN
ap-2077	20	64	z	z	PROPN
ap-2077	20	65	,	,	PUNCT
ap-2077	20	66	γ	γ	PROPN
ap-2077	20	67	is	be	AUX
ap-2077	20	68	an	an	DET
ap-2077	20	69	arbitrary	arbitrary	ADJ
ap-2077	20	70	cycle	cycle	NOUN
ap-2077	20	71	on	on	ADP
ap-2077	20	72	λ	λ	PROPN
ap-2077	20	73	,	,	PUNCT
ap-2077	20	74	and	and	CCONJ
ap-2077	20	75	µ(γ	µ(γ	PROPN
ap-2077	20	76	)	)	PUNCT
ap-2077	20	77	is	be	AUX
ap-2077	20	78	the	the	DET
ap-2077	20	79	maslov	maslov	ADJ
ap-2077	20	80	index	index	NOUN
ap-2077	20	81	of	of	ADP
ap-2077	20	82	the	the	DET
ap-2077	20	83	cycle	cycle	NOUN
ap-2077	20	84	.	.	PUNCT
ap-2077	21	1	then	then	ADV
ap-2077	21	2	there	there	PRON
ap-2077	21	3	is	be	VERB
ap-2077	21	4	a	a	DET
ap-2077	21	5	function	function	NOUN
ap-2077	21	6	ψ	ψ	X
ap-2077	21	7	∈	∈	PROPN
ap-2077	21	8	l2(rn	l2(rn	PROPN
ap-2077	21	9	)	)	PUNCT
ap-2077	21	10	,	,	PUNCT
ap-2077	21	11	‖ψ‖	‖ψ‖	PROPN
ap-2077	21	12	=	=	NOUN
ap-2077	21	13	1	1	NUM
ap-2077	21	14	,	,	PUNCT
ap-2077	21	15	such	such	ADJ
ap-2077	21	16	that	that	SCONJ
ap-2077	21	17	ĥψ	ĥψ	X
ap-2077	21	18	=	=	PUNCT
ap-2077	21	19	λψ	λψ	ADP
ap-2077	21	20	+	+	NOUN
ap-2077	21	21	o(h2	o(h2	NOUN
ap-2077	21	22	)	)	PUNCT
ap-2077	21	23	,	,	PUNCT
ap-2077	21	24	λ	λ	X
ap-2077	21	25	=	=	SYM
ap-2077	21	26	h|λ	h|λ	PROPN
ap-2077	21	27	.	.	PUNCT
ap-2077	21	28	remark	remark	PROPN
ap-2077	21	29	1	1	NUM
ap-2077	21	30	.	.	PUNCT
ap-2077	22	1	the	the	DET
ap-2077	22	2	function	function	NOUN
ap-2077	22	3	ψ	ψ	PART
ap-2077	22	4	mentioned	mention	VERB
ap-2077	22	5	in	in	ADP
ap-2077	22	6	the	the	DET
ap-2077	22	7	theorem	theorem	NOUN
ap-2077	22	8	can	can	AUX
ap-2077	22	9	be	be	AUX
ap-2077	22	10	described	describe	VERB
ap-2077	22	11	in	in	ADP
ap-2077	22	12	a	a	DET
ap-2077	22	13	computable	computable	ADJ
ap-2077	22	14	way	way	NOUN
ap-2077	22	15	,	,	PUNCT
ap-2077	22	16	namely	namely	ADV
ap-2077	22	17	,	,	PUNCT
ap-2077	22	18	it	it	PRON
ap-2077	22	19	is	be	AUX
ap-2077	22	20	of	of	ADP
ap-2077	22	21	the	the	DET
ap-2077	22	22	form	form	NOUN
ap-2077	22	23	k(1	k(1	PROPN
ap-2077	22	24	)	)	PUNCT
ap-2077	22	25	,	,	PUNCT
ap-2077	22	26	where	where	SCONJ
ap-2077	22	27	k	k	PROPN
ap-2077	22	28	stands	stand	VERB
ap-2077	22	29	for	for	ADP
ap-2077	22	30	the	the	DET
ap-2077	22	31	maslov	maslov	ADJ
ap-2077	22	32	canonical	canonical	ADJ
ap-2077	22	33	operator	operator	NOUN
ap-2077	22	34	on	on	ADP
ap-2077	22	35	the	the	DET
ap-2077	22	36	liouville	liouville	NOUN
ap-2077	22	37	torus	torus	PROPN
ap-2077	22	38	λ	λ	PROPN
ap-2077	22	39	.	.	PUNCT
ap-2077	23	1	integer	integer	PROPN
ap-2077	23	2	m	m	PROPN
ap-2077	23	3	can	can	AUX
ap-2077	23	4	be	be	AUX
ap-2077	23	5	chosen	choose	VERB
ap-2077	23	6	in	in	ADP
ap-2077	23	7	the	the	DET
ap-2077	23	8	form	form	NOUN
ap-2077	23	9	m	m	NOUN
ap-2077	23	10	=	=	PUNCT
ap-2077	24	1	[	[	X
ap-2077	24	2	1	1	NUM
ap-2077	24	3	/	/	SYM
ap-2077	24	4	h]int+m0	h]int+m0	NOUN
ap-2077	24	5	,	,	PUNCT
ap-2077	24	6	where	where	SCONJ
ap-2077	24	7	[	[	X
ap-2077	24	8	1	1	NUM
ap-2077	24	9	/	/	SYM
ap-2077	24	10	h]int	h]int	NOUN
ap-2077	24	11	stands	stand	VERB
ap-2077	24	12	for	for	ADP
ap-2077	24	13	the	the	DET
ap-2077	24	14	integral	integral	ADJ
ap-2077	24	15	part	part	NOUN
ap-2077	24	16	of	of	ADP
ap-2077	24	17	the	the	DET
ap-2077	24	18	real	real	ADJ
ap-2077	24	19	number	number	NOUN
ap-2077	24	20	1	1	NUM
ap-2077	24	21	/	/	SYM
ap-2077	24	22	h	h	NOUN
ap-2077	24	23	and	and	CCONJ
ap-2077	24	24	m0	m0	PROPN
ap-2077	24	25	does	do	AUX
ap-2077	24	26	not	not	PART
ap-2077	24	27	depend	depend	VERB
ap-2077	24	28	on	on	ADP
ap-2077	24	29	h.	h.	PROPN
ap-2077	24	30	remark	remark	PROPN
ap-2077	24	31	2	2	NUM
ap-2077	24	32	.	.	PUNCT
ap-2077	24	33	as	as	SCONJ
ap-2077	24	34	was	be	AUX
ap-2077	24	35	already	already	ADV
ap-2077	24	36	noted	note	VERB
ap-2077	24	37	above	above	ADV
ap-2077	24	38	,	,	PUNCT
ap-2077	24	39	it	it	PRON
ap-2077	24	40	follows	follow	VERB
ap-2077	24	41	automatically	automatically	ADV
ap-2077	24	42	from	from	ADP
ap-2077	24	43	the	the	DET
ap-2077	24	44	statement	statement	NOUN
ap-2077	24	45	of	of	ADP
ap-2077	24	46	the	the	DET
ap-2077	24	47	theorem	theorem	NOUN
ap-2077	24	48	that	that	PRON
ap-2077	24	49	the	the	DET
ap-2077	24	50	point	point	NOUN
ap-2077	24	51	λ	λ	NOUN
ap-2077	24	52	is	be	AUX
ap-2077	24	53	at	at	ADP
ap-2077	24	54	a	a	DET
ap-2077	24	55	distance	distance	NOUN
ap-2077	24	56	of	of	ADP
ap-2077	24	57	the	the	DET
ap-2077	24	58	order	order	NOUN
ap-2077	24	59	of	of	ADP
ap-2077	24	60	o(h2	o(h2	NOUN
ap-2077	24	61	)	)	PUNCT
ap-2077	24	62	from	from	ADP
ap-2077	24	63	the	the	DET
ap-2077	24	64	spectrum	spectrum	NOUN
ap-2077	24	65	of	of	ADP
ap-2077	24	66	operator	operator	NOUN
ap-2077	24	67	ĥ.	ĥ.	NOUN
ap-2077	24	68	remark	remark	NOUN
ap-2077	24	69	3	3	NUM
ap-2077	24	70	.	.	PUNCT
ap-2077	25	1	we	we	PRON
ap-2077	25	2	stress	stress	VERB
ap-2077	25	3	that	that	SCONJ
ap-2077	25	4	the	the	DET
ap-2077	25	5	topological	topological	ADJ
ap-2077	25	6	condition	condition	NOUN
ap-2077	25	7	(	(	PUNCT
ap-2077	25	8	1.3	1.3	NUM
ap-2077	25	9	)	)	PUNCT
ap-2077	25	10	must	must	AUX
ap-2077	25	11	be	be	AUX
ap-2077	25	12	satisfied	satisfied	ADJ
ap-2077	25	13	for	for	ADP
ap-2077	25	14	all	all	DET
ap-2077	25	15	cycles	cycle	NOUN
ap-2077	25	16	of	of	ADP
ap-2077	25	17	torus	torus	PROPN
ap-2077	25	18	λ	λ	PROPN
ap-2077	25	19	(	(	PUNCT
ap-2077	25	20	in	in	ADP
ap-2077	25	21	other	other	ADJ
ap-2077	25	22	words	word	NOUN
ap-2077	25	23	,	,	PUNCT
ap-2077	25	24	the	the	DET
ap-2077	25	25	quantization	quantization	NOUN
ap-2077	25	26	condition	condition	NOUN
ap-2077	25	27	is	be	AUX
ap-2077	25	28	the	the	DET
ap-2077	25	29	condition	condition	NOUN
ap-2077	25	30	that	that	SCONJ
ap-2077	25	31	the	the	DET
ap-2077	25	32	cohomology	cohomology	NOUN
ap-2077	25	33	class	class	NOUN
ap-2077	25	34	1	1	NUM
ap-2077	25	35	2πh	2πh	NOUN
ap-2077	26	1	[	[	X
ap-2077	26	2	θ]−	θ]−	ADP
ap-2077	26	3	1	1	NUM
ap-2077	26	4	4	4	NUM
ap-2077	26	5	[	[	X
ap-2077	26	6	µ	µ	X
ap-2077	26	7	]	]	X
ap-2077	26	8	is	be	AUX
ap-2077	26	9	integer	integer	NOUN
ap-2077	26	10	,	,	PUNCT
ap-2077	26	11	where	where	SCONJ
ap-2077	26	12	[	[	X
ap-2077	26	13	θ	θ	X
ap-2077	26	14	]	]	PUNCT
ap-2077	26	15	stands	stand	VERB
ap-2077	26	16	for	for	ADP
ap-2077	26	17	the	the	DET
ap-2077	26	18	class	class	NOUN
ap-2077	26	19	of	of	ADP
ap-2077	26	20	the	the	DET
ap-2077	26	21	form	form	NOUN
ap-2077	26	22	(	(	PUNCT
ap-2077	26	23	p	p	X
ap-2077	26	24	,	,	PUNCT
ap-2077	26	25	dx	dx	PROPN
ap-2077	26	26	)	)	PUNCT
ap-2077	26	27	and	and	CCONJ
ap-2077	27	1	[	[	X
ap-2077	27	2	µ	µ	X
ap-2077	27	3	]	]	X
ap-2077	27	4	for	for	ADP
ap-2077	27	5	the	the	DET
ap-2077	27	6	maslov	maslov	ADJ
ap-2077	27	7	class	class	NOUN
ap-2077	27	8	)	)	PUNCT
ap-2077	27	9	.	.	PUNCT
ap-2077	28	1	101	101	NUM
ap-2077	29	1	http://dx.doi.org/10.14311/ap.2014.54.0101	http://dx.doi.org/10.14311/ap.2014.54.0101	ADP
ap-2077	29	2	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2077	29	3	anna	anna	PROPN
ap-2077	29	4	i.	i.	PROPN
ap-2077	29	5	esina	esina	PROPN
ap-2077	29	6	,	,	PUNCT
ap-2077	29	7	andrei	andrei	PROPN
ap-2077	29	8	i.	i.	PROPN
ap-2077	29	9	shafarevich	shafarevich	PROPN
ap-2077	29	10	acta	acta	PROPN
ap-2077	29	11	polytechnica	polytechnica	PROPN
ap-2077	29	12	remark	remark	NOUN
ap-2077	29	13	4	4	NUM
ap-2077	29	14	.	.	PUNCT
ap-2077	30	1	in	in	ADP
ap-2077	30	2	action	action	NOUN
ap-2077	30	3	–	–	PUNCT
ap-2077	30	4	angle	angle	NOUN
ap-2077	30	5	variables	variable	NOUN
ap-2077	30	6	(	(	PUNCT
ap-2077	30	7	i1	i1	PROPN
ap-2077	30	8	,	,	PUNCT
ap-2077	30	9	.	.	PUNCT
ap-2077	30	10	.	.	PUNCT
ap-2077	31	1	.	.	PUNCT
ap-2077	32	1	,	,	PUNCT
ap-2077	32	2	in	in	ADP
ap-2077	32	3	,	,	PUNCT
ap-2077	32	4	ϕ1	ϕ1	NOUN
ap-2077	32	5	,	,	PUNCT
ap-2077	32	6	.	.	PUNCT
ap-2077	32	7	.	.	PUNCT
ap-2077	32	8	.	.	PUNCT
ap-2077	33	1	,	,	PUNCT
ap-2077	33	2	ϕn	ϕn	INTJ
ap-2077	33	3	)	)	PUNCT
ap-2077	33	4	,	,	PUNCT
ap-2077	33	5	the	the	DET
ap-2077	33	6	quantization	quantization	NOUN
ap-2077	33	7	conditions	condition	NOUN
ap-2077	33	8	and	and	CCONJ
ap-2077	33	9	formula	formula	NOUN
ap-2077	33	10	for	for	ADP
ap-2077	33	11	the	the	DET
ap-2077	33	12	spectrum	spectrum	NOUN
ap-2077	33	13	have	have	VERB
ap-2077	33	14	a	a	DET
ap-2077	33	15	simple	simple	ADJ
ap-2077	33	16	form	form	NOUN
ap-2077	33	17	(	(	PUNCT
ap-2077	33	18	see	see	VERB
ap-2077	34	1	e.g.	e.g.	ADV
ap-2077	34	2	[	[	X
ap-2077	34	3	2	2	NUM
ap-2077	34	4	]	]	SYM
ap-2077	34	5	)	)	PUNCT
ap-2077	34	6	ij	ij	NOUN
ap-2077	34	7	=	=	NOUN
ap-2077	34	8	h	h	PROPN
ap-2077	34	9	(	(	PUNCT
ap-2077	34	10	mj	mj	PROPN
ap-2077	34	11	+	+	X
ap-2077	34	12	µj	µj	PROPN
ap-2077	34	13	4	4	NUM
ap-2077	34	14	)	)	PUNCT
ap-2077	34	15	,	,	PUNCT
ap-2077	34	16	λ	λ	X
ap-2077	34	17	=	=	PUNCT
ap-2077	34	18	h(i1	h(i1	NOUN
ap-2077	34	19	,	,	PUNCT
ap-2077	34	20	.	.	PUNCT
ap-2077	34	21	.	.	PUNCT
ap-2077	35	1	.	.	PUNCT
ap-2077	36	1	,	,	PUNCT
ap-2077	36	2	in	in	ADP
ap-2077	36	3	)	)	PUNCT
ap-2077	36	4	.	.	PUNCT
ap-2077	37	1	the	the	DET
ap-2077	37	2	nonself	nonself	PROPN
ap-2077	37	3	-	-	PUNCT
ap-2077	37	4	adjoint	adjoint	PROPN
ap-2077	37	5	case	case	NOUN
ap-2077	37	6	has	have	AUX
ap-2077	37	7	been	be	AUX
ap-2077	37	8	investigated	investigate	VERB
ap-2077	37	9	less	less	ADJ
ap-2077	37	10	,	,	PUNCT
ap-2077	37	11	and	and	CCONJ
ap-2077	37	12	quite	quite	ADV
ap-2077	37	13	incompletely	incompletely	ADV
ap-2077	37	14	;	;	PUNCT
ap-2077	37	15	however	however	ADV
ap-2077	37	16	,	,	PUNCT
ap-2077	37	17	spectral	spectral	ADJ
ap-2077	37	18	problems	problem	NOUN
ap-2077	37	19	for	for	ADP
ap-2077	37	20	nonself	nonself	NOUN
ap-2077	37	21	-	-	PUNCT
ap-2077	37	22	adjoint	adjoint	PROPN
ap-2077	37	23	operators	operator	NOUN
ap-2077	37	24	arise	arise	VERB
ap-2077	37	25	in	in	ADP
ap-2077	37	26	many	many	ADJ
ap-2077	37	27	important	important	ADJ
ap-2077	37	28	physical	physical	ADJ
ap-2077	37	29	applications	application	NOUN
ap-2077	37	30	(	(	PUNCT
ap-2077	37	31	like	like	ADP
ap-2077	37	32	the	the	DET
ap-2077	37	33	theory	theory	NOUN
ap-2077	37	34	of	of	ADP
ap-2077	37	35	hydrodynamic	hydrodynamic	ADJ
ap-2077	37	36	stability	stability	NOUN
ap-2077	37	37	,	,	PUNCT
ap-2077	37	38	a	a	DET
ap-2077	37	39	description	description	NOUN
ap-2077	37	40	of	of	ADP
ap-2077	37	41	magnetic	magnetic	ADJ
ap-2077	37	42	fields	field	NOUN
ap-2077	37	43	of	of	ADP
ap-2077	37	44	the	the	DET
ap-2077	37	45	earth	earth	NOUN
ap-2077	37	46	and	and	CCONJ
ap-2077	37	47	of	of	ADP
ap-2077	37	48	galaxies	galaxy	NOUN
ap-2077	37	49	,	,	PUNCT
ap-2077	37	50	pt	pt	X
ap-2077	37	51	-symmetric	-symmetric	ADJ
ap-2077	37	52	quantum	quantum	NOUN
ap-2077	37	53	theory	theory	NOUN
ap-2077	37	54	,	,	PUNCT
ap-2077	37	55	statistical	statistical	ADJ
ap-2077	37	56	mechanics	mechanic	NOUN
ap-2077	37	57	of	of	ADP
ap-2077	37	58	coulomb	coulomb	NOUN
ap-2077	37	59	gases	gas	NOUN
ap-2077	37	60	,	,	PUNCT
ap-2077	37	61	and	and	CCONJ
ap-2077	37	62	many	many	ADJ
ap-2077	37	63	other	other	ADJ
ap-2077	37	64	problems	problem	NOUN
ap-2077	37	65	;	;	PUNCT
ap-2077	37	66	see	see	VERB
ap-2077	37	67	,	,	PUNCT
ap-2077	37	68	for	for	ADP
ap-2077	37	69	example	example	NOUN
ap-2077	37	70	,	,	PUNCT
ap-2077	38	1	[	[	X
ap-2077	38	2	6–11	6–11	NOUN
ap-2077	38	3	]	]	PUNCT
ap-2077	38	4	)	)	PUNCT
ap-2077	38	5	.	.	PUNCT
ap-2077	39	1	in	in	ADP
ap-2077	39	2	our	our	PRON
ap-2077	39	3	paper	paper	NOUN
ap-2077	39	4	,	,	PUNCT
ap-2077	39	5	we	we	PRON
ap-2077	39	6	consider	consider	VERB
ap-2077	39	7	two	two	NUM
ap-2077	39	8	classes	class	NOUN
ap-2077	39	9	of	of	ADP
ap-2077	39	10	nonselfadjoint	nonselfadjoint	NOUN
ap-2077	39	11	operators	operator	NOUN
ap-2077	39	12	,	,	PUNCT
ap-2077	39	13	namely	namely	ADV
ap-2077	39	14	,	,	PUNCT
ap-2077	39	15	the	the	DET
ap-2077	39	16	one	one	NUM
ap-2077	39	17	-	-	PUNCT
ap-2077	39	18	dimensional	dimensional	ADJ
ap-2077	39	19	schrödinger	schrödinger	ADJ
ap-2077	39	20	operator	operator	NOUN
ap-2077	39	21	with	with	ADP
ap-2077	39	22	complex	complex	ADJ
ap-2077	39	23	potential	potential	NOUN
ap-2077	39	24	and	and	CCONJ
ap-2077	39	25	the	the	DET
ap-2077	39	26	operator	operator	NOUN
ap-2077	39	27	of	of	ADP
ap-2077	39	28	magnetic	magnetic	ADJ
ap-2077	39	29	induction	induction	NOUN
ap-2077	39	30	on	on	ADP
ap-2077	39	31	a	a	DET
ap-2077	39	32	two	two	NUM
ap-2077	39	33	-	-	PUNCT
ap-2077	39	34	dimensional	dimensional	ADJ
ap-2077	39	35	symmetric	symmetric	ADJ
ap-2077	39	36	surface	surface	NOUN
ap-2077	39	37	.	.	PUNCT
ap-2077	40	1	the	the	DET
ap-2077	40	2	spectrum	spectrum	NOUN
ap-2077	40	3	of	of	ADP
ap-2077	40	4	these	these	DET
ap-2077	40	5	operators	operator	NOUN
ap-2077	40	6	,	,	PUNCT
ap-2077	40	7	in	in	ADP
ap-2077	40	8	the	the	DET
ap-2077	40	9	semiclassical	semiclassical	ADJ
ap-2077	40	10	limit	limit	NOUN
ap-2077	40	11	,	,	PUNCT
ap-2077	40	12	is	be	AUX
ap-2077	40	13	concentrated	concentrate	VERB
ap-2077	40	14	in	in	ADP
ap-2077	40	15	the	the	DET
ap-2077	40	16	o(h2)neighborhood	o(h2)neighborhood	NOUN
ap-2077	40	17	of	of	ADP
ap-2077	40	18	some	some	DET
ap-2077	40	19	curves	curve	NOUN
ap-2077	40	20	in	in	ADP
ap-2077	40	21	the	the	DET
ap-2077	40	22	complex	complex	ADJ
ap-2077	40	23	plane	plane	NOUN
ap-2077	40	24	e	e	NOUN
ap-2077	40	25	;	;	PUNCT
ap-2077	40	26	these	these	DET
ap-2077	40	27	curves	curve	NOUN
ap-2077	40	28	form	form	VERB
ap-2077	40	29	the	the	DET
ap-2077	40	30	so	so	ADV
ap-2077	40	31	-	-	PUNCT
ap-2077	40	32	called	call	VERB
ap-2077	40	33	spectral	spectral	ADJ
ap-2077	40	34	graph	graph	NOUN
ap-2077	40	35	.	.	PUNCT
ap-2077	41	1	it	it	PRON
ap-2077	41	2	turns	turn	VERB
ap-2077	41	3	out	out	ADP
ap-2077	41	4	that	that	SCONJ
ap-2077	41	5	each	each	DET
ap-2077	41	6	edge	edge	NOUN
ap-2077	41	7	of	of	ADP
ap-2077	41	8	the	the	DET
ap-2077	41	9	spectral	spectral	ADJ
ap-2077	41	10	graph	graph	NOUN
ap-2077	41	11	corresponds	correspond	VERB
ap-2077	41	12	to	to	ADP
ap-2077	41	13	a	a	DET
ap-2077	41	14	certain	certain	ADJ
ap-2077	41	15	cycle	cycle	NOUN
ap-2077	41	16	on	on	ADP
ap-2077	41	17	the	the	DET
ap-2077	41	18	riemann	riemann	PROPN
ap-2077	41	19	surface	surface	NOUN
ap-2077	41	20	defined	define	VERB
ap-2077	41	21	by	by	ADP
ap-2077	41	22	the	the	DET
ap-2077	41	23	classical	classical	ADJ
ap-2077	41	24	complex	complex	ADJ
ap-2077	41	25	hamiltonian	hamiltonian	ADJ
ap-2077	41	26	system	system	NOUN
ap-2077	41	27	(	(	PUNCT
ap-2077	41	28	this	this	PRON
ap-2077	41	29	is	be	AUX
ap-2077	41	30	a	a	DET
ap-2077	41	31	surface	surface	NOUN
ap-2077	41	32	of	of	ADP
ap-2077	41	33	constant	constant	ADJ
ap-2077	41	34	energy	energy	NOUN
ap-2077	41	35	)	)	PUNCT
ap-2077	41	36	.	.	PUNCT
ap-2077	42	1	the	the	DET
ap-2077	42	2	asymptotics	asymptotic	NOUN
ap-2077	42	3	of	of	ADP
ap-2077	42	4	the	the	DET
ap-2077	42	5	eigenvalues	eigenvalue	NOUN
ap-2077	42	6	can	can	AUX
ap-2077	42	7	be	be	AUX
ap-2077	42	8	calculated	calculate	VERB
ap-2077	42	9	by	by	ADP
ap-2077	42	10	using	use	VERB
ap-2077	42	11	complex	complex	ADJ
ap-2077	42	12	equations	equation	NOUN
ap-2077	42	13	which	which	PRON
ap-2077	42	14	are	be	AUX
ap-2077	42	15	similar	similar	ADJ
ap-2077	42	16	to	to	ADP
ap-2077	42	17	the	the	DET
ap-2077	42	18	bohr	bohr	NOUN
ap-2077	42	19	–	–	PUNCT
ap-2077	42	20	sommerfeld	sommerfeld	ADJ
ap-2077	42	21	–	–	PUNCT
ap-2077	42	22	maslov	maslov	NOUN
ap-2077	42	23	quantization	quantization	NOUN
ap-2077	42	24	conditions	condition	NOUN
ap-2077	42	25	on	on	ADP
ap-2077	42	26	the	the	DET
ap-2077	42	27	riemann	riemann	PROPN
ap-2077	42	28	surface	surface	NOUN
ap-2077	42	29	.	.	PUNCT
ap-2077	43	1	however	however	ADV
ap-2077	43	2	,	,	PUNCT
ap-2077	43	3	in	in	ADP
ap-2077	43	4	contrast	contrast	NOUN
ap-2077	43	5	to	to	ADP
ap-2077	43	6	the	the	DET
ap-2077	43	7	self	self	NOUN
ap-2077	43	8	-	-	PUNCT
ap-2077	43	9	adjoint	adjoint	NOUN
ap-2077	43	10	case	case	NOUN
ap-2077	43	11	,	,	PUNCT
ap-2077	43	12	in	in	ADP
ap-2077	43	13	order	order	NOUN
ap-2077	43	14	to	to	PART
ap-2077	43	15	evaluate	evaluate	VERB
ap-2077	43	16	the	the	DET
ap-2077	43	17	eigenvalues	eigenvalue	NOUN
ap-2077	43	18	,	,	PUNCT
ap-2077	43	19	it	it	PRON
ap-2077	43	20	is	be	AUX
ap-2077	43	21	required	require	VERB
ap-2077	43	22	to	to	PART
ap-2077	43	23	satisfy	satisfy	VERB
ap-2077	43	24	the	the	DET
ap-2077	43	25	corresponding	correspond	VERB
ap-2077	43	26	condition	condition	NOUN
ap-2077	43	27	on	on	ADP
ap-2077	43	28	only	only	ADV
ap-2077	43	29	one	one	NUM
ap-2077	43	30	cycle	cycle	NOUN
ap-2077	43	31	,	,	PUNCT
ap-2077	43	32	and	and	CCONJ
ap-2077	43	33	it	it	PRON
ap-2077	43	34	turns	turn	VERB
ap-2077	43	35	out	out	ADP
ap-2077	43	36	that	that	SCONJ
ap-2077	43	37	different	different	ADJ
ap-2077	43	38	cycles	cycle	NOUN
ap-2077	43	39	determine	determine	VERB
ap-2077	43	40	different	different	ADJ
ap-2077	43	41	parts	part	NOUN
ap-2077	43	42	of	of	ADP
ap-2077	43	43	the	the	DET
ap-2077	43	44	spectrum	spectrum	NOUN
ap-2077	43	45	(	(	PUNCT
ap-2077	43	46	and	and	CCONJ
ap-2077	43	47	different	different	ADJ
ap-2077	43	48	edges	edge	NOUN
ap-2077	43	49	of	of	ADP
ap-2077	43	50	the	the	DET
ap-2077	43	51	spectral	spectral	ADJ
ap-2077	43	52	graph	graph	NOUN
ap-2077	43	53	)	)	PUNCT
ap-2077	43	54	.	.	PUNCT
ap-2077	44	1	2	2	X
ap-2077	44	2	.	.	X
ap-2077	44	3	schrödinger	schrödinger	ADJ
ap-2077	44	4	equation	equation	NOUN
ap-2077	44	5	with	with	ADP
ap-2077	44	6	a	a	DET
ap-2077	44	7	complex	complex	ADJ
ap-2077	44	8	potential	potential	NOUN
ap-2077	44	9	the	the	DET
ap-2077	44	10	spectral	spectral	ADJ
ap-2077	44	11	problem	problem	NOUN
ap-2077	44	12	for	for	ADP
ap-2077	44	13	the	the	DET
ap-2077	44	14	schrödinger	schrödinger	ADJ
ap-2077	44	15	equation	equation	NOUN
ap-2077	44	16	on	on	ADP
ap-2077	44	17	a	a	DET
ap-2077	44	18	circle	circle	NOUN
ap-2077	44	19	with	with	ADP
ap-2077	44	20	a	a	DET
ap-2077	44	21	purely	purely	ADV
ap-2077	44	22	imaginary	imaginary	ADJ
ap-2077	44	23	potential	potential	NOUN
ap-2077	44	24	−	−	PROPN
ap-2077	45	1	h2ψ′′	h2ψ′′	PROPN
ap-2077	45	2	+	+	CCONJ
ap-2077	45	3	ıv	ıv	PROPN
ap-2077	45	4	(	(	PUNCT
ap-2077	45	5	x)ψ	x)ψ	X
ap-2077	45	6	=	=	SYM
ap-2077	45	7	λψ	λψ	ADP
ap-2077	45	8	,	,	PUNCT
ap-2077	45	9	ψ(x+	ψ(x+	PRON
ap-2077	45	10	2π	2π	NOUN
ap-2077	45	11	)	)	PUNCT
ap-2077	45	12	=	=	SYM
ap-2077	45	13	ψ(x	ψ(x	NOUN
ap-2077	45	14	)	)	PUNCT
ap-2077	45	15	(	(	PUNCT
ap-2077	45	16	4	4	X
ap-2077	45	17	)	)	PUNCT
ap-2077	45	18	arises	arise	VERB
ap-2077	45	19	,	,	PUNCT
ap-2077	45	20	in	in	ADP
ap-2077	45	21	particular	particular	ADJ
ap-2077	45	22	,	,	PUNCT
ap-2077	45	23	as	as	ADP
ap-2077	45	24	a	a	DET
ap-2077	45	25	model	model	NOUN
ap-2077	45	26	problem	problem	NOUN
ap-2077	45	27	for	for	ADP
ap-2077	45	28	the	the	DET
ap-2077	45	29	orr	orr	PROPN
ap-2077	45	30	–	–	PUNCT
ap-2077	45	31	sommerfeld	sommerfeld	ADJ
ap-2077	45	32	operator	operator	NOUN
ap-2077	45	33	in	in	ADP
ap-2077	45	34	the	the	DET
ap-2077	45	35	theory	theory	NOUN
ap-2077	45	36	of	of	ADP
ap-2077	45	37	hydrodynamic	hydrodynamic	ADJ
ap-2077	45	38	stability	stability	NOUN
ap-2077	45	39	(	(	PUNCT
ap-2077	45	40	see	see	VERB
ap-2077	45	41	,	,	PUNCT
ap-2077	45	42	e.g.	e.g.	ADV
ap-2077	45	43	,	,	PUNCT
ap-2077	45	44	[	[	X
ap-2077	45	45	12–20	12–20	NUM
ap-2077	45	46	]	]	PUNCT
ap-2077	45	47	)	)	PUNCT
ap-2077	45	48	.	.	PUNCT
ap-2077	46	1	a	a	DET
ap-2077	46	2	close	close	ADJ
ap-2077	46	3	problem	problem	NOUN
ap-2077	46	4	appears	appear	VERB
ap-2077	46	5	in	in	ADP
ap-2077	46	6	the	the	DET
ap-2077	46	7	statistical	statistical	ADJ
ap-2077	46	8	mechanics	mechanic	NOUN
ap-2077	46	9	of	of	ADP
ap-2077	46	10	the	the	DET
ap-2077	46	11	coulomb	coulomb	NOUN
ap-2077	46	12	gas	gas	NOUN
ap-2077	46	13	(	(	PUNCT
ap-2077	46	14	see	see	VERB
ap-2077	46	15	[	[	X
ap-2077	46	16	11	11	NUM
ap-2077	46	17	]	]	NUM
ap-2077	46	18	)	)	PUNCT
ap-2077	46	19	.	.	PUNCT
ap-2077	47	1	here	here	ADV
ap-2077	47	2	h→	h→	NOUN
ap-2077	47	3	0	0	PUNCT
ap-2077	47	4	is	be	AUX
ap-2077	47	5	a	a	DET
ap-2077	47	6	small	small	ADJ
ap-2077	47	7	parameter	parameter	NOUN
ap-2077	47	8	and	and	CCONJ
ap-2077	47	9	v	v	NOUN
ap-2077	47	10	(	(	PUNCT
ap-2077	47	11	x	x	X
ap-2077	47	12	)	)	PUNCT
ap-2077	47	13	is	be	AUX
ap-2077	47	14	a	a	DET
ap-2077	47	15	trigonometric	trigonometric	ADJ
ap-2077	47	16	polynomial	polynomial	NOUN
ap-2077	47	17	.	.	PUNCT
ap-2077	48	1	the	the	DET
ap-2077	48	2	asymptotic	asymptotic	ADJ
ap-2077	48	3	behavior	behavior	NOUN
ap-2077	48	4	of	of	ADP
ap-2077	48	5	the	the	DET
ap-2077	48	6	spectrum	spectrum	NOUN
ap-2077	48	7	of	of	ADP
ap-2077	48	8	this	this	DET
ap-2077	48	9	operator	operator	NOUN
ap-2077	48	10	for	for	ADP
ap-2077	48	11	different	different	ADJ
ap-2077	48	12	trigonometric	trigonometric	ADJ
ap-2077	48	13	polynomials	polynomial	NOUN
ap-2077	48	14	v	v	NOUN
ap-2077	48	15	as	as	ADP
ap-2077	48	16	h→	h→	NOUN
ap-2077	48	17	0	0	NUM
ap-2077	48	18	was	be	AUX
ap-2077	48	19	calculated	calculate	VERB
ap-2077	48	20	in	in	ADP
ap-2077	48	21	[	[	X
ap-2077	48	22	21–25	21–25	NUM
ap-2077	48	23	]	]	PUNCT
ap-2077	48	24	;	;	PUNCT
ap-2077	48	25	it	it	PRON
ap-2077	48	26	turns	turn	VERB
ap-2077	48	27	out	out	ADP
ap-2077	48	28	here	here	ADV
ap-2077	48	29	that	that	SCONJ
ap-2077	48	30	the	the	DET
ap-2077	48	31	numbers	number	NOUN
ap-2077	48	32	λ	λ	X
ap-2077	48	33	satisfying	satisfy	VERB
ap-2077	48	34	(	(	PUNCT
ap-2077	48	35	1	1	NUM
ap-2077	48	36	)	)	PUNCT
ap-2077	48	37	fill	fill	VERB
ap-2077	48	38	a	a	DET
ap-2077	48	39	half	half	ADJ
ap-2077	48	40	-	-	PUNCT
ap-2077	48	41	strip	strip	NOUN
ap-2077	48	42	in	in	ADP
ap-2077	48	43	the	the	DET
ap-2077	48	44	complex	complex	ADJ
ap-2077	48	45	plane	plane	NOUN
ap-2077	48	46	entirely	entirely	ADV
ap-2077	48	47	,	,	PUNCT
ap-2077	48	48	while	while	SCONJ
ap-2077	48	49	the	the	DET
ap-2077	48	50	actual	actual	ADJ
ap-2077	48	51	spectrum	spectrum	NOUN
ap-2077	48	52	is	be	AUX
ap-2077	48	53	discrete	discrete	ADJ
ap-2077	48	54	and	and	CCONJ
ap-2077	48	55	concentrates	concentrate	VERB
ap-2077	48	56	near	near	ADP
ap-2077	48	57	some	some	DET
ap-2077	48	58	graph	graph	NOUN
ap-2077	48	59	.	.	PUNCT
ap-2077	49	1	the	the	DET
ap-2077	49	2	results	result	NOUN
ap-2077	49	3	of	of	ADP
ap-2077	49	4	these	these	DET
ap-2077	49	5	papers	paper	NOUN
ap-2077	49	6	can	can	AUX
ap-2077	49	7	be	be	AUX
ap-2077	49	8	reformulated	reformulate	VERB
ap-2077	49	9	in	in	ADP
ap-2077	49	10	terms	term	NOUN
ap-2077	49	11	of	of	ADP
ap-2077	49	12	the	the	DET
ap-2077	49	13	quantization	quantization	NOUN
ap-2077	49	14	rules	rule	NOUN
ap-2077	49	15	on	on	ADP
ap-2077	49	16	riemann	riemann	PROPN
ap-2077	49	17	surfaces	surface	NOUN
ap-2077	49	18	as	as	SCONJ
ap-2077	49	19	follows	follow	VERB
ap-2077	49	20	.	.	PUNCT
ap-2077	50	1	consider	consider	VERB
ap-2077	50	2	a	a	DET
ap-2077	50	3	riemann	riemann	PROPN
ap-2077	50	4	surface	surface	PROPN
ap-2077	50	5	λ	λ	PROPN
ap-2077	50	6	in	in	ADP
ap-2077	50	7	the	the	DET
ap-2077	50	8	complex	complex	ADJ
ap-2077	50	9	phase	phase	NOUN
ap-2077	50	10	space	space	NOUN
ap-2077	50	11	φ	φ	NOUN
ap-2077	50	12	=	=	SYM
ap-2077	51	1	(	(	PUNCT
ap-2077	51	2	c/2πz)×	c/2πz)×	NUM
ap-2077	51	3	c	c	NOUN
ap-2077	51	4	with	with	ADP
ap-2077	51	5	coordinates	coordinate	NOUN
ap-2077	51	6	(	(	PUNCT
ap-2077	51	7	x	x	X
ap-2077	51	8	,	,	PUNCT
ap-2077	51	9	p	p	NOUN
ap-2077	51	10	)	)	PUNCT
ap-2077	51	11	,	,	PUNCT
ap-2077	51	12	where	where	SCONJ
ap-2077	51	13	λ	λ	PROPN
ap-2077	51	14	is	be	AUX
ap-2077	51	15	given	give	VERB
ap-2077	51	16	by	by	ADP
ap-2077	51	17	the	the	DET
ap-2077	51	18	equation	equation	NOUN
ap-2077	51	19	p2	p2	NOUN
ap-2077	51	20	+	+	CCONJ
ap-2077	51	21	ıv	ıv	PROPN
ap-2077	51	22	(	(	PUNCT
ap-2077	51	23	x	x	NOUN
ap-2077	51	24	)	)	PUNCT
ap-2077	51	25	=	=	SYM
ap-2077	51	26	λ	λ	NOUN
ap-2077	51	27	;	;	PUNCT
ap-2077	51	28	this	this	DET
ap-2077	51	29	surface	surface	NOUN
ap-2077	51	30	is	be	AUX
ap-2077	51	31	obtained	obtain	VERB
ap-2077	51	32	by	by	ADP
ap-2077	51	33	gluing	glue	VERB
ap-2077	51	34	together	together	ADV
ap-2077	51	35	two	two	NUM
ap-2077	51	36	cylinders	cylinder	NOUN
ap-2077	51	37	of	of	ADP
ap-2077	51	38	the	the	DET
ap-2077	51	39	variable	variable	NOUN
ap-2077	51	40	x	x	NOUN
ap-2077	51	41	along	along	ADP
ap-2077	51	42	finitely	finitely	ADV
ap-2077	51	43	many	many	ADJ
ap-2077	51	44	cuts	cut	NOUN
ap-2077	51	45	,	,	PUNCT
ap-2077	51	46	namely	namely	ADV
ap-2077	51	47	,	,	PUNCT
ap-2077	51	48	the	the	DET
ap-2077	51	49	zeros	zero	NOUN
ap-2077	51	50	of	of	ADP
ap-2077	51	51	the	the	DET
ap-2077	51	52	trigonometric	trigonometric	ADJ
ap-2077	51	53	polynomial	polynomial	ADJ
ap-2077	51	54	v	v	NOUN
ap-2077	51	55	are	be	AUX
ap-2077	51	56	joined	join	VERB
ap-2077	51	57	to	to	ADP
ap-2077	51	58	one	one	NUM
ap-2077	51	59	another	another	DET
ap-2077	51	60	and	and	CCONJ
ap-2077	51	61	to	to	ADP
ap-2077	51	62	the	the	DET
ap-2077	51	63	points	point	NOUN
ap-2077	51	64	at	at	ADP
ap-2077	51	65	infinity	infinity	NOUN
ap-2077	51	66	.	.	PUNCT
ap-2077	52	1	the	the	DET
ap-2077	52	2	results	result	NOUN
ap-2077	52	3	of	of	ADP
ap-2077	52	4	the	the	DET
ap-2077	52	5	papers	paper	NOUN
ap-2077	52	6	mentioned	mention	VERB
ap-2077	52	7	above	above	ADV
ap-2077	52	8	imply	imply	VERB
ap-2077	52	9	the	the	DET
ap-2077	52	10	following	follow	VERB
ap-2077	52	11	assertion	assertion	NOUN
ap-2077	52	12	.	.	PUNCT
ap-2077	53	1	theorem	theorem	NOUN
ap-2077	53	2	2	2	NUM
ap-2077	53	3	.	.	PUNCT
ap-2077	54	1	the	the	DET
ap-2077	54	2	spectrum	spectrum	NOUN
ap-2077	54	3	of	of	ADP
ap-2077	54	4	the	the	DET
ap-2077	54	5	schrödinger	schrödinger	ADJ
ap-2077	54	6	operator	operator	NOUN
ap-2077	54	7	concentrates	concentrate	VERB
ap-2077	54	8	in	in	ADP
ap-2077	54	9	the	the	DET
ap-2077	54	10	o(h2)-neighborhood	o(h2)-neighborhood	NOUN
ap-2077	54	11	of	of	ADP
ap-2077	54	12	the	the	DET
ap-2077	54	13	set	set	NOUN
ap-2077	54	14	given	give	VERB
ap-2077	54	15	by	by	ADP
ap-2077	54	16	the	the	DET
ap-2077	54	17	family	family	NOUN
ap-2077	54	18	of	of	ADP
ap-2077	54	19	equations	equation	NOUN
ap-2077	54	20	1	1	NUM
ap-2077	54	21	2πh	2πh	ADJ
ap-2077	54	22	∫	∫	PROPN
ap-2077	54	23	γ	γ	X
ap-2077	54	24	p	p	PROPN
ap-2077	54	25	dx	dx	PROPN
ap-2077	55	1	=	=	SYM
ap-2077	55	2	m+	m+	PROPN
ap-2077	55	3	µ	µ	NOUN
ap-2077	55	4	4	4	NUM
ap-2077	55	5	,	,	PUNCT
ap-2077	55	6	(	(	PUNCT
ap-2077	55	7	5	5	NUM
ap-2077	55	8	)	)	PUNCT
ap-2077	55	9	where	where	SCONJ
ap-2077	55	10	γ	γ	PROPN
ap-2077	55	11	is	be	AUX
ap-2077	55	12	some	some	DET
ap-2077	55	13	cycle	cycle	NOUN
ap-2077	55	14	on	on	ADP
ap-2077	55	15	surface	surface	NOUN
ap-2077	55	16	λ	λ	PROPN
ap-2077	55	17	,	,	PUNCT
ap-2077	55	18	µ	µ	X
ap-2077	55	19	∈	∈	X
ap-2077	55	20	{	{	PUNCT
ap-2077	55	21	0	0	NUM
ap-2077	55	22	,	,	PUNCT
ap-2077	55	23	2	2	NUM
ap-2077	55	24	}	}	PUNCT
ap-2077	55	25	,	,	PUNCT
ap-2077	55	26	and	and	CCONJ
ap-2077	55	27	m	m	NOUN
ap-2077	55	28	=	=	ADJ
ap-2077	55	29	o(1	o(1	PROPN
ap-2077	55	30	/	/	SYM
ap-2077	55	31	h	h	NOUN
ap-2077	55	32	)	)	PUNCT
ap-2077	55	33	is	be	AUX
ap-2077	55	34	an	an	DET
ap-2077	55	35	integer	integer	NOUN
ap-2077	55	36	.	.	PUNCT
ap-2077	56	1	remark	remark	NOUN
ap-2077	56	2	5	5	NUM
ap-2077	56	3	.	.	PUNCT
ap-2077	57	1	in	in	ADP
ap-2077	57	2	contrast	contrast	NOUN
ap-2077	57	3	to	to	ADP
ap-2077	57	4	the	the	DET
ap-2077	57	5	self	self	NOUN
ap-2077	57	6	-	-	PUNCT
ap-2077	57	7	adjoint	adjoint	NOUN
ap-2077	57	8	case	case	NOUN
ap-2077	57	9	,	,	PUNCT
ap-2077	57	10	the	the	DET
ap-2077	57	11	quantization	quantization	NOUN
ap-2077	57	12	condition	condition	NOUN
ap-2077	57	13	must	must	AUX
ap-2077	57	14	hold	hold	VERB
ap-2077	57	15	on	on	ADP
ap-2077	57	16	only	only	ADV
ap-2077	57	17	one	one	NUM
ap-2077	57	18	cycle	cycle	NOUN
ap-2077	57	19	in	in	ADP
ap-2077	57	20	the	the	DET
ap-2077	57	21	given	give	VERB
ap-2077	57	22	family	family	NOUN
ap-2077	57	23	of	of	ADP
ap-2077	57	24	cycles	cycle	NOUN
ap-2077	57	25	,	,	PUNCT
ap-2077	57	26	and	and	CCONJ
ap-2077	57	27	different	different	ADJ
ap-2077	57	28	cycles	cycle	NOUN
ap-2077	57	29	determine	determine	VERB
ap-2077	57	30	different	different	ADJ
ap-2077	57	31	parts	part	NOUN
ap-2077	57	32	of	of	ADP
ap-2077	57	33	the	the	DET
ap-2077	57	34	spectrum	spectrum	NOUN
ap-2077	57	35	.	.	PUNCT
ap-2077	58	1	remark	remark	PROPN
ap-2077	58	2	6	6	NUM
ap-2077	58	3	.	.	PUNCT
ap-2077	59	1	separating	separate	VERB
ap-2077	59	2	the	the	DET
ap-2077	59	3	real	real	ADJ
ap-2077	59	4	and	and	CCONJ
ap-2077	59	5	imaginary	imaginary	ADJ
ap-2077	59	6	parts	part	NOUN
ap-2077	59	7	in	in	ADP
ap-2077	59	8	equations	equation	NOUN
ap-2077	59	9	(	(	PUNCT
ap-2077	59	10	5	5	X
ap-2077	59	11	)	)	PUNCT
ap-2077	59	12	we	we	PRON
ap-2077	59	13	obtain	obtain	VERB
ap-2077	59	14	the	the	DET
ap-2077	59	15	system	system	NOUN
ap-2077	59	16	=	=	SYM
ap-2077	60	1	∫	∫	PROPN
ap-2077	60	2	γ	γ	X
ap-2077	60	3	p	p	PROPN
ap-2077	60	4	dx	dx	PROPN
ap-2077	60	5	=	=	SYM
ap-2077	60	6	0	0	PROPN
ap-2077	60	7	,	,	PUNCT
ap-2077	60	8	(	(	PUNCT
ap-2077	60	9	6	6	NUM
ap-2077	60	10	)	)	PUNCT
ap-2077	60	11	<	<	X
ap-2077	60	12	1	1	NUM
ap-2077	60	13	2πh	2πh	ADJ
ap-2077	60	14	∫	∫	PROPN
ap-2077	60	15	γ	γ	X
ap-2077	60	16	p	p	PROPN
ap-2077	60	17	dx	dx	PROPN
ap-2077	60	18	=	=	SYM
ap-2077	60	19	m+	m+	PROPN
ap-2077	60	20	µ	µ	NOUN
ap-2077	60	21	4	4	NUM
ap-2077	60	22	.	.	PUNCT
ap-2077	61	1	(	(	PUNCT
ap-2077	61	2	7	7	X
ap-2077	61	3	)	)	PUNCT
ap-2077	61	4	the	the	DET
ap-2077	61	5	first	first	ADJ
ap-2077	61	6	equation	equation	NOUN
ap-2077	61	7	does	do	AUX
ap-2077	61	8	not	not	PART
ap-2077	61	9	depend	depend	VERB
ap-2077	61	10	on	on	ADP
ap-2077	61	11	h.	h.	PROPN
ap-2077	61	12	the	the	DET
ap-2077	61	13	combination	combination	NOUN
ap-2077	61	14	of	of	ADP
ap-2077	61	15	these	these	DET
ap-2077	61	16	equations	equation	NOUN
ap-2077	61	17	for	for	ADP
ap-2077	61	18	different	different	ADJ
ap-2077	61	19	cycles	cycle	NOUN
ap-2077	61	20	defines	define	VERB
ap-2077	61	21	a	a	DET
ap-2077	61	22	set	set	NOUN
ap-2077	61	23	of	of	ADP
ap-2077	61	24	analytical	analytical	ADJ
ap-2077	61	25	curves	curve	NOUN
ap-2077	61	26	in	in	ADP
ap-2077	61	27	the	the	DET
ap-2077	61	28	complex	complex	ADJ
ap-2077	61	29	plane	plane	NOUN
ap-2077	61	30	λ	λ	NOUN
ap-2077	61	31	,	,	PUNCT
ap-2077	61	32	the	the	DET
ap-2077	61	33	so	so	ADV
ap-2077	61	34	-	-	PUNCT
ap-2077	61	35	called	call	VERB
ap-2077	61	36	spectral	spectral	ADJ
ap-2077	61	37	graph	graph	NOUN
ap-2077	61	38	.	.	PUNCT
ap-2077	62	1	the	the	DET
ap-2077	62	2	second	second	ADJ
ap-2077	62	3	equation	equation	NOUN
ap-2077	62	4	defines	define	VERB
ap-2077	62	5	a	a	DET
ap-2077	62	6	discrete	discrete	ADJ
ap-2077	62	7	set	set	NOUN
ap-2077	62	8	of	of	ADP
ap-2077	62	9	asymptotic	asymptotic	ADJ
ap-2077	62	10	eigenvalues	eigenvalue	NOUN
ap-2077	62	11	;	;	PUNCT
ap-2077	62	12	for	for	ADP
ap-2077	62	13	a	a	DET
ap-2077	62	14	fixed	fix	VERB
ap-2077	62	15	cycle	cycle	NOUN
ap-2077	62	16	γ	γ	NOUN
ap-2077	62	17	,	,	PUNCT
ap-2077	62	18	these	these	DET
ap-2077	62	19	eigenvalues	eigenvalue	NOUN
ap-2077	62	20	are	be	AUX
ap-2077	62	21	concentrated	concentrate	VERB
ap-2077	62	22	near	near	ADP
ap-2077	62	23	the	the	DET
ap-2077	62	24	corresponding	corresponding	ADJ
ap-2077	62	25	edge	edge	NOUN
ap-2077	62	26	of	of	ADP
ap-2077	62	27	the	the	DET
ap-2077	62	28	spectral	spectral	ADJ
ap-2077	62	29	graph	graph	NOUN
ap-2077	62	30	.	.	PUNCT
ap-2077	63	1	remark	remark	PROPN
ap-2077	63	2	7	7	NUM
ap-2077	63	3	.	.	PUNCT
ap-2077	64	1	in	in	ADP
ap-2077	64	2	[	[	X
ap-2077	64	3	21–25	21–25	NUM
ap-2077	64	4	]	]	PUNCT
ap-2077	64	5	,	,	PUNCT
ap-2077	64	6	examples	example	NOUN
ap-2077	64	7	of	of	ADP
ap-2077	64	8	spectral	spectral	ADJ
ap-2077	64	9	graphs	graph	NOUN
ap-2077	64	10	for	for	ADP
ap-2077	64	11	specific	specific	ADJ
ap-2077	64	12	surfaces	surface	NOUN
ap-2077	64	13	λ	λ	NOUN
ap-2077	64	14	are	be	AUX
ap-2077	64	15	presented	present	VERB
ap-2077	64	16	.	.	PUNCT
ap-2077	65	1	in	in	ADP
ap-2077	65	2	particular	particular	ADJ
ap-2077	65	3	,	,	PUNCT
ap-2077	65	4	if	if	SCONJ
ap-2077	65	5	v	v	X
ap-2077	65	6	(	(	PUNCT
ap-2077	65	7	x	x	NOUN
ap-2077	65	8	)	)	PUNCT
ap-2077	65	9	=	=	SYM
ap-2077	65	10	cosx	cosx	NOUN
ap-2077	65	11	,	,	PUNCT
ap-2077	65	12	then	then	ADV
ap-2077	65	13	surface	surface	NOUN
ap-2077	65	14	λ	λ	PROPN
ap-2077	65	15	is	be	AUX
ap-2077	65	16	homeomorphic	homeomorphic	ADJ
ap-2077	65	17	to	to	ADP
ap-2077	65	18	a	a	DET
ap-2077	65	19	torus	torus	NOUN
ap-2077	65	20	with	with	ADP
ap-2077	65	21	two	two	NUM
ap-2077	65	22	punctures	puncture	NOUN
ap-2077	65	23	;	;	PUNCT
ap-2077	65	24	the	the	DET
ap-2077	65	25	corresponding	corresponding	ADJ
ap-2077	65	26	spectral	spectral	ADJ
ap-2077	65	27	graph	graph	NOUN
ap-2077	65	28	consists	consist	VERB
ap-2077	65	29	of	of	ADP
ap-2077	65	30	three	three	NUM
ap-2077	65	31	edges	edge	NOUN
ap-2077	65	32	corresponding	correspond	VERB
ap-2077	65	33	to	to	ADP
ap-2077	65	34	the	the	DET
ap-2077	65	35	three	three	NUM
ap-2077	65	36	cycles	cycle	NOUN
ap-2077	65	37	in	in	ADP
ap-2077	65	38	the	the	DET
ap-2077	65	39	surface	surface	NOUN
ap-2077	65	40	and	and	CCONJ
ap-2077	65	41	has	have	VERB
ap-2077	65	42	the	the	DET
ap-2077	65	43	shape	shape	NOUN
ap-2077	65	44	shown	show	VERB
ap-2077	65	45	in	in	ADP
ap-2077	65	46	fig	fig	NOUN
ap-2077	65	47	.	.	PUNCT
ap-2077	66	1	1	1	X
ap-2077	66	2	.	.	X
ap-2077	67	1	if	if	SCONJ
ap-2077	67	2	v	v	X
ap-2077	67	3	=	=	SYM
ap-2077	67	4	cosx+	cosx+	NOUN
ap-2077	67	5	cos	co	NOUN
ap-2077	67	6	2x	2x	NUM
ap-2077	67	7	,	,	PUNCT
ap-2077	67	8	then	then	ADV
ap-2077	67	9	the	the	DET
ap-2077	67	10	surface	surface	NOUN
ap-2077	67	11	is	be	AUX
ap-2077	67	12	homeomorphic	homeomorphic	ADJ
ap-2077	67	13	to	to	ADP
ap-2077	67	14	a	a	DET
ap-2077	67	15	pretzel	pretzel	NOUN
ap-2077	67	16	with	with	ADP
ap-2077	67	17	two	two	NUM
ap-2077	67	18	punctures	puncture	NOUN
ap-2077	67	19	(	(	PUNCT
ap-2077	67	20	a	a	DET
ap-2077	67	21	sphere	sphere	NOUN
ap-2077	67	22	with	with	ADP
ap-2077	67	23	two	two	NUM
ap-2077	67	24	handles	handle	NOUN
ap-2077	67	25	and	and	CCONJ
ap-2077	67	26	with	with	ADP
ap-2077	67	27	two	two	NUM
ap-2077	67	28	disks	disk	NOUN
ap-2077	67	29	removed	remove	VERB
ap-2077	67	30	)	)	PUNCT
ap-2077	67	31	;	;	PUNCT
ap-2077	67	32	the	the	DET
ap-2077	67	33	corresponding	corresponding	ADJ
ap-2077	67	34	spectral	spectral	ADJ
ap-2077	67	35	graph	graph	NOUN
ap-2077	67	36	is	be	AUX
ap-2077	67	37	shown	show	VERB
ap-2077	67	38	in	in	ADP
ap-2077	67	39	fig	fig	NOUN
ap-2077	67	40	.	.	PUNCT
ap-2077	68	1	2	2	NUM
ap-2077	69	1	and	and	CCONJ
ap-2077	69	2	consists	consist	VERB
ap-2077	69	3	of	of	ADP
ap-2077	69	4	five	five	NUM
ap-2077	69	5	edges	edge	NOUN
ap-2077	69	6	(	(	PUNCT
ap-2077	69	7	note	note	VERB
ap-2077	69	8	that	that	SCONJ
ap-2077	69	9	the	the	DET
ap-2077	69	10	one	one	NUM
ap-2077	69	11	-	-	PUNCT
ap-2077	69	12	dimensional	dimensional	ADJ
ap-2077	69	13	homology	homology	NOUN
ap-2077	69	14	of	of	ADP
ap-2077	69	15	λ	λ	PROPN
ap-2077	69	16	is	be	AUX
ap-2077	69	17	the	the	DET
ap-2077	69	18	fivedimensional	fivedimensional	ADJ
ap-2077	69	19	in	in	ADP
ap-2077	69	20	this	this	DET
ap-2077	69	21	case	case	NOUN
ap-2077	69	22	)	)	PUNCT
ap-2077	69	23	.	.	PUNCT
ap-2077	70	1	remark	remark	PROPN
ap-2077	70	2	8	8	NUM
ap-2077	70	3	.	.	PUNCT
ap-2077	71	1	the	the	DET
ap-2077	71	2	equations	equation	NOUN
ap-2077	71	3	for	for	ADP
ap-2077	71	4	the	the	DET
ap-2077	71	5	asymptotic	asymptotic	ADJ
ap-2077	71	6	eigenvalues	eigenvalue	NOUN
ap-2077	71	7	can	can	AUX
ap-2077	71	8	be	be	AUX
ap-2077	71	9	represented	represent	VERB
ap-2077	71	10	by	by	ADP
ap-2077	71	11	explicit	explicit	ADJ
ap-2077	71	12	formulas∫	formulas∫	NOUN
ap-2077	71	13	xk	xk	PROPN
ap-2077	71	14	xj	xj	PROPN
ap-2077	71	15	√	√	PROPN
ap-2077	72	1	λ−	λ−	PROPN
ap-2077	72	2	ıv	ıv	PROPN
ap-2077	72	3	(	(	PUNCT
ap-2077	72	4	x	x	NOUN
ap-2077	72	5	)	)	PUNCT
ap-2077	72	6	dx	dx	PROPN
ap-2077	72	7	=	=	PROPN
ap-2077	72	8	πh(mkj	πh(mkj	PROPN
ap-2077	72	9	+	+	CCONJ
ap-2077	72	10	µ/4	µ/4	X
ap-2077	72	11	)	)	PUNCT
ap-2077	72	12	(	(	PUNCT
ap-2077	72	13	8)	8)	NUM
ap-2077	72	14	where	where	SCONJ
ap-2077	72	15	mkj	mkj	NOUN
ap-2077	72	16	are	be	AUX
ap-2077	72	17	integers	integer	NOUN
ap-2077	72	18	,	,	PUNCT
ap-2077	72	19	µ	µ	X
ap-2077	72	20	∈	∈	X
ap-2077	72	21	{	{	PUNCT
ap-2077	72	22	0	0	NUM
ap-2077	72	23	,	,	PUNCT
ap-2077	72	24	2	2	NUM
ap-2077	72	25	}	}	PUNCT
ap-2077	72	26	,	,	PUNCT
ap-2077	72	27	and	and	CCONJ
ap-2077	72	28	xk	xk	PROPN
ap-2077	72	29	and	and	CCONJ
ap-2077	72	30	xj	xj	PROPN
ap-2077	72	31	are	be	AUX
ap-2077	72	32	zeros	zero	NOUN
ap-2077	72	33	of	of	ADP
ap-2077	72	34	the	the	DET
ap-2077	72	35	integrand	integrand	NOUN
ap-2077	72	36	.	.	PUNCT
ap-2077	73	1	in	in	ADP
ap-2077	73	2	this	this	DET
ap-2077	73	3	case	case	NOUN
ap-2077	73	4	,	,	PUNCT
ap-2077	73	5	the	the	DET
ap-2077	73	6	equation	equation	NOUN
ap-2077	73	7	=	=	SYM
ap-2077	73	8	∫	∫	PROPN
ap-2077	73	9	xk	xk	PROPN
ap-2077	73	10	xj	xj	PROPN
ap-2077	73	11	√	√	PROPN
ap-2077	73	12	λ−	λ−	PROPN
ap-2077	73	13	ıv	ıv	PROPN
ap-2077	73	14	(	(	PUNCT
ap-2077	73	15	x	x	NOUN
ap-2077	73	16	)	)	PUNCT
ap-2077	73	17	dx	dx	PROPN
ap-2077	74	1	=	=	SYM
ap-2077	74	2	0	0	PROPN
ap-2077	74	3	(	(	PUNCT
ap-2077	74	4	9	9	NUM
ap-2077	74	5	)	)	PUNCT
ap-2077	74	6	102	102	NUM
ap-2077	74	7	vol	vol	NOUN
ap-2077	74	8	.	.	PUNCT
ap-2077	75	1	54	54	NUM
ap-2077	75	2	no	no	NOUN
ap-2077	75	3	.	.	PUNCT
ap-2077	76	1	2/2014	2/2014	PRON
ap-2077	76	2	semiclassical	semiclassical	ADJ
ap-2077	76	3	asymptotics	asymptotic	NOUN
ap-2077	76	4	of	of	ADP
ap-2077	76	5	eigenvalues	eigenvalue	NOUN
ap-2077	76	6	for	for	ADP
ap-2077	76	7	non	non	ADJ
ap-2077	76	8	-	-	ADJ
ap-2077	76	9	selfadjoint	selfadjoint	ADJ
ap-2077	76	10	operators	operator	NOUN
ap-2077	76	11	figure	figure	VERB
ap-2077	76	12	1	1	NUM
ap-2077	76	13	.	.	PUNCT
ap-2077	76	14	spectral	spectral	ADJ
ap-2077	76	15	graph	graph	NOUN
ap-2077	76	16	for	for	ADP
ap-2077	76	17	the	the	DET
ap-2077	76	18	case	case	NOUN
ap-2077	76	19	v	v	ADP
ap-2077	76	20	=	=	SYM
ap-2077	76	21	cosx	cosx	NOUN
ap-2077	76	22	defines	define	VERB
ap-2077	76	23	the	the	DET
ap-2077	76	24	edges	edge	NOUN
ap-2077	76	25	of	of	ADP
ap-2077	76	26	the	the	DET
ap-2077	76	27	spectral	spectral	ADJ
ap-2077	76	28	graph	graph	NOUN
ap-2077	76	29	,	,	PUNCT
ap-2077	76	30	and	and	CCONJ
ap-2077	76	31	the	the	DET
ap-2077	76	32	spectral	spectral	ADJ
ap-2077	76	33	points	point	NOUN
ap-2077	76	34	are	be	AUX
ap-2077	76	35	defined	define	VERB
ap-2077	76	36	by	by	ADP
ap-2077	76	37	the	the	DET
ap-2077	76	38	equations	equation	NOUN
ap-2077	76	39	:	:	PUNCT
ap-2077	76	40	<	<	X
ap-2077	76	41	∫	∫	PROPN
ap-2077	76	42	xi	xi	PROPN
ap-2077	76	43	xj	xj	PROPN
ap-2077	76	44	√	√	PROPN
ap-2077	76	45	λ−	λ−	PROPN
ap-2077	76	46	ıv	ıv	PROPN
ap-2077	76	47	(	(	PUNCT
ap-2077	76	48	x	x	NOUN
ap-2077	76	49	)	)	PUNCT
ap-2077	76	50	dx	dx	PROPN
ap-2077	77	1	=	=	NOUN
ap-2077	77	2	πh(mij	πh(mij	ADJ
ap-2077	77	3	+	+	CCONJ
ap-2077	77	4	µ/4	µ/4	PRON
ap-2077	77	5	)	)	PUNCT
ap-2077	77	6	.	.	PUNCT
ap-2077	78	1	(	(	PUNCT
ap-2077	78	2	10	10	NUM
ap-2077	78	3	)	)	PUNCT
ap-2077	78	4	remark	remark	NOUN
ap-2077	78	5	9	9	NUM
ap-2077	78	6	.	.	PUNCT
ap-2077	79	1	integer	integer	PROPN
ap-2077	79	2	µ	µ	PROPN
ap-2077	79	3	is	be	AUX
ap-2077	79	4	the	the	DET
ap-2077	79	5	analog	analog	NOUN
ap-2077	79	6	of	of	ADP
ap-2077	79	7	the	the	DET
ap-2077	79	8	maslov	maslov	PROPN
ap-2077	79	9	index	index	NOUN
ap-2077	79	10	;	;	PUNCT
ap-2077	79	11	however	however	ADV
ap-2077	79	12	,	,	PUNCT
ap-2077	79	13	the	the	DET
ap-2077	79	14	definition	definition	NOUN
ap-2077	79	15	of	of	ADP
ap-2077	79	16	this	this	DET
ap-2077	79	17	number	number	NOUN
ap-2077	79	18	is	be	AUX
ap-2077	79	19	quite	quite	ADV
ap-2077	79	20	different	different	ADJ
ap-2077	79	21	.	.	PUNCT
ap-2077	80	1	namely	namely	ADV
ap-2077	80	2	,	,	PUNCT
ap-2077	80	3	µ(γ	µ(γ	ADV
ap-2077	80	4	)	)	PUNCT
ap-2077	80	5	equals	equal	VERB
ap-2077	80	6	the	the	DET
ap-2077	80	7	index	index	NOUN
ap-2077	80	8	of	of	ADP
ap-2077	80	9	intersection	intersection	NOUN
ap-2077	80	10	of	of	ADP
ap-2077	80	11	the	the	DET
ap-2077	80	12	cycle	cycle	NOUN
ap-2077	80	13	γ	γ	NOUN
ap-2077	80	14	with	with	ADP
ap-2077	80	15	the	the	DET
ap-2077	80	16	pull	pull	NOUN
ap-2077	80	17	-	-	PUNCT
ap-2077	80	18	back	back	NOUN
ap-2077	80	19	of	of	ADP
ap-2077	80	20	the	the	DET
ap-2077	80	21	real	real	ADJ
ap-2077	80	22	circle	circle	NOUN
ap-2077	81	1	=	=	NOUN
ap-2077	81	2	x	x	SYM
ap-2077	81	3	=	=	SYM
ap-2077	81	4	0	0	NUM
ap-2077	82	1	with	with	ADP
ap-2077	82	2	respect	respect	NOUN
ap-2077	82	3	to	to	ADP
ap-2077	82	4	the	the	DET
ap-2077	82	5	projection	projection	NOUN
ap-2077	82	6	(	(	PUNCT
ap-2077	82	7	x	x	NOUN
ap-2077	82	8	,	,	PUNCT
ap-2077	82	9	p)→	p)→	ADJ
ap-2077	82	10	x.	x.	NOUN
ap-2077	82	11	3	3	X
ap-2077	82	12	.	.	X
ap-2077	82	13	equation	equation	NOUN
ap-2077	82	14	of	of	ADP
ap-2077	82	15	magnetic	magnetic	ADJ
ap-2077	82	16	induction	induction	NOUN
ap-2077	82	17	the	the	DET
ap-2077	82	18	spectral	spectral	ADJ
ap-2077	82	19	problem	problem	NOUN
ap-2077	82	20	for	for	ADP
ap-2077	82	21	the	the	DET
ap-2077	82	22	operator	operator	NOUN
ap-2077	82	23	of	of	ADP
ap-2077	82	24	induction	induction	NOUN
ap-2077	82	25	,	,	PUNCT
ap-2077	82	26	h24b	h24b	ADV
ap-2077	82	27	−	−	PROPN
ap-2077	82	28	{	{	PUNCT
ap-2077	82	29	v	v	NOUN
ap-2077	82	30	,	,	PUNCT
ap-2077	82	31	b	b	NOUN
ap-2077	82	32	}	}	PUNCT
ap-2077	82	33	=	=	SYM
ap-2077	82	34	−λb	−λb	NOUN
ap-2077	82	35	,	,	PUNCT
ap-2077	82	36	(	(	PUNCT
ap-2077	82	37	11	11	NUM
ap-2077	82	38	)	)	PUNCT
ap-2077	82	39	divb	divb	NOUN
ap-2077	82	40	=	=	SYM
ap-2077	82	41	0	0	PUNCT
ap-2077	82	42	(	(	PUNCT
ap-2077	82	43	12	12	NUM
ap-2077	82	44	)	)	PUNCT
ap-2077	82	45	arises	arise	VERB
ap-2077	82	46	when	when	SCONJ
ap-2077	82	47	describing	describe	VERB
ap-2077	82	48	the	the	DET
ap-2077	82	49	magnetic	magnetic	ADJ
ap-2077	82	50	field	field	NOUN
ap-2077	82	51	in	in	ADP
ap-2077	82	52	a	a	DET
ap-2077	82	53	conductive	conductive	ADJ
ap-2077	82	54	liquid	liquid	NOUN
ap-2077	82	55	(	(	PUNCT
ap-2077	82	56	in	in	ADP
ap-2077	82	57	particular	particular	ADJ
ap-2077	82	58	,	,	PUNCT
ap-2077	82	59	the	the	DET
ap-2077	82	60	magnetic	magnetic	ADJ
ap-2077	82	61	fields	field	NOUN
ap-2077	82	62	of	of	ADP
ap-2077	82	63	planets	planet	NOUN
ap-2077	82	64	,	,	PUNCT
ap-2077	82	65	stars	star	NOUN
ap-2077	82	66	,	,	PUNCT
ap-2077	82	67	and	and	CCONJ
ap-2077	82	68	galaxies	galaxy	NOUN
ap-2077	82	69	,	,	PUNCT
ap-2077	82	70	see	see	VERB
ap-2077	82	71	,	,	PUNCT
ap-2077	82	72	e.g.	e.g.	ADV
ap-2077	82	73	,	,	PUNCT
ap-2077	82	74	[	[	X
ap-2077	82	75	9	9	NUM
ap-2077	82	76	]	]	NUM
ap-2077	82	77	)	)	PUNCT
ap-2077	82	78	.	.	PUNCT
ap-2077	83	1	here	here	ADV
ap-2077	83	2	,	,	PUNCT
ap-2077	83	3	v	v	NOUN
ap-2077	83	4	stands	stand	VERB
ap-2077	83	5	for	for	ADP
ap-2077	83	6	a	a	DET
ap-2077	83	7	given	give	VERB
ap-2077	83	8	smooth	smooth	ADJ
ap-2077	83	9	divergence	divergence	NOUN
ap-2077	83	10	-	-	PUNCT
ap-2077	83	11	free	free	ADJ
ap-2077	83	12	field	field	NOUN
ap-2077	83	13	on	on	ADP
ap-2077	83	14	a	a	DET
ap-2077	83	15	riemannian	riemannian	ADJ
ap-2077	83	16	manifold	manifold	ADJ
ap-2077	83	17	m	m	PROPN
ap-2077	83	18	,	,	PUNCT
ap-2077	83	19	∆	∆	PROPN
ap-2077	83	20	for	for	ADP
ap-2077	83	21	the	the	DET
ap-2077	83	22	laplace	laplace	NOUN
ap-2077	83	23	–	–	PUNCT
ap-2077	83	24	beltrami	beltrami	ADJ
ap-2077	83	25	operator	operator	NOUN
ap-2077	83	26	,	,	PUNCT
ap-2077	83	27	and	and	CCONJ
ap-2077	83	28	b	b	NOUN
ap-2077	83	29	is	be	AUX
ap-2077	83	30	the	the	DET
ap-2077	83	31	desired	desire	VERB
ap-2077	83	32	vector	vector	NOUN
ap-2077	83	33	field	field	NOUN
ap-2077	83	34	(	(	PUNCT
ap-2077	83	35	the	the	DET
ap-2077	83	36	magnetic	magnetic	ADJ
ap-2077	83	37	field	field	NOUN
ap-2077	83	38	)	)	PUNCT
ap-2077	83	39	.	.	PUNCT
ap-2077	84	1	parameter	parameter	PROPN
ap-2077	84	2	h	h	PROPN
ap-2077	84	3	characterizes	characterize	VERB
ap-2077	84	4	the	the	DET
ap-2077	84	5	resistance	resistance	NOUN
ap-2077	84	6	in	in	ADP
ap-2077	84	7	the	the	DET
ap-2077	84	8	liquid	liquid	NOUN
ap-2077	84	9	,	,	PUNCT
ap-2077	84	10	and	and	CCONJ
ap-2077	84	11	the	the	DET
ap-2077	84	12	passage	passage	NOUN
ap-2077	84	13	to	to	ADP
ap-2077	84	14	the	the	DET
ap-2077	84	15	limit	limit	NOUN
ap-2077	84	16	as	as	ADP
ap-2077	84	17	h→	h→	NOUN
ap-2077	84	18	0	0	NUM
ap-2077	84	19	corresponds	correspond	NOUN
ap-2077	84	20	to	to	ADP
ap-2077	84	21	high	high	ADJ
ap-2077	84	22	conductivity	conductivity	NOUN
ap-2077	84	23	.	.	PUNCT
ap-2077	85	1	clearly	clearly	ADV
ap-2077	85	2	,	,	PUNCT
ap-2077	85	3	the	the	DET
ap-2077	85	4	spectrum	spectrum	NOUN
ap-2077	85	5	of	of	ADP
ap-2077	85	6	the	the	DET
ap-2077	85	7	operator	operator	NOUN
ap-2077	85	8	of	of	ADP
ap-2077	85	9	induction	induction	NOUN
ap-2077	85	10	depends	depend	VERB
ap-2077	85	11	substantially	substantially	ADV
ap-2077	85	12	on	on	ADP
ap-2077	85	13	the	the	DET
ap-2077	85	14	manifold	manifold	ADJ
ap-2077	85	15	m	m	NOUN
ap-2077	85	16	and	and	CCONJ
ap-2077	85	17	on	on	ADP
ap-2077	85	18	the	the	DET
ap-2077	85	19	field	field	NOUN
ap-2077	85	20	v	v	NOUN
ap-2077	85	21	and	and	CCONJ
ap-2077	85	22	can	can	AUX
ap-2077	85	23	be	be	AUX
ap-2077	85	24	computed	compute	VERB
ap-2077	85	25	efficiently	efficiently	ADV
ap-2077	85	26	in	in	ADP
ap-2077	85	27	special	special	ADJ
ap-2077	85	28	situations	situation	NOUN
ap-2077	85	29	only	only	ADV
ap-2077	85	30	.	.	PUNCT
ap-2077	86	1	below	below	ADV
ap-2077	86	2	we	we	PRON
ap-2077	86	3	consider	consider	VERB
ap-2077	86	4	a	a	DET
ap-2077	86	5	special	special	ADJ
ap-2077	86	6	case	case	NOUN
ap-2077	86	7	of	of	ADP
ap-2077	86	8	this	this	DET
ap-2077	86	9	kind	kind	NOUN
ap-2077	86	10	,	,	PUNCT
ap-2077	86	11	namely	namely	ADV
ap-2077	86	12	,	,	PUNCT
ap-2077	86	13	a	a	DET
ap-2077	86	14	two	two	NUM
ap-2077	86	15	-	-	PUNCT
ap-2077	86	16	dimensional	dimensional	ADJ
ap-2077	86	17	surface	surface	NOUN
ap-2077	86	18	of	of	ADP
ap-2077	86	19	revolution	revolution	NOUN
ap-2077	86	20	with	with	ADP
ap-2077	86	21	the	the	DET
ap-2077	86	22	flow	flow	NOUN
ap-2077	86	23	along	along	ADP
ap-2077	86	24	the	the	DET
ap-2077	86	25	parallels	parallel	NOUN
ap-2077	86	26	.	.	PUNCT
ap-2077	87	1	this	this	DET
ap-2077	87	2	case	case	NOUN
ap-2077	87	3	was	be	AUX
ap-2077	87	4	discussed	discuss	VERB
ap-2077	87	5	in	in	ADP
ap-2077	87	6	detail	detail	NOUN
ap-2077	87	7	in	in	ADP
ap-2077	87	8	[	[	X
ap-2077	87	9	24	24	NUM
ap-2077	87	10	]	]	PUNCT
ap-2077	87	11	(	(	PUNCT
ap-2077	87	12	see	see	VERB
ap-2077	87	13	also	also	ADV
ap-2077	87	14	[	[	X
ap-2077	87	15	26	26	NUM
ap-2077	87	16	,	,	PUNCT
ap-2077	87	17	27	27	NUM
ap-2077	87	18	]	]	NUM
ap-2077	87	19	)	)	PUNCT
ap-2077	87	20	;	;	PUNCT
ap-2077	87	21	we	we	PRON
ap-2077	87	22	present	present	VERB
ap-2077	87	23	the	the	DET
ap-2077	87	24	main	main	ADJ
ap-2077	87	25	results	result	NOUN
ap-2077	87	26	only	only	ADV
ap-2077	87	27	.	.	PUNCT
ap-2077	88	1	recall	recall	VERB
ap-2077	88	2	that	that	SCONJ
ap-2077	88	3	a	a	DET
ap-2077	88	4	two	two	NUM
ap-2077	88	5	-	-	PUNCT
ap-2077	88	6	dimensional	dimensional	ADJ
ap-2077	88	7	compact	compact	ADJ
ap-2077	88	8	surface	surface	NOUN
ap-2077	88	9	of	of	ADP
ap-2077	88	10	revolution	revolution	NOUN
ap-2077	88	11	is	be	AUX
ap-2077	88	12	diffeomorphic	diffeomorphic	ADJ
ap-2077	88	13	either	either	CCONJ
ap-2077	88	14	to	to	ADP
ap-2077	88	15	a	a	DET
ap-2077	88	16	torus	torus	NOUN
ap-2077	88	17	or	or	CCONJ
ap-2077	88	18	to	to	ADP
ap-2077	88	19	a	a	DET
ap-2077	88	20	sphere	sphere	NOUN
ap-2077	88	21	.	.	PUNCT
ap-2077	89	1	3.1	3.1	NUM
ap-2077	89	2	.	.	PUNCT
ap-2077	90	1	torus	torus	NOUN
ap-2077	90	2	the	the	DET
ap-2077	90	3	torus	torus	NOUN
ap-2077	90	4	is	be	AUX
ap-2077	90	5	obtained	obtain	VERB
ap-2077	90	6	by	by	ADP
ap-2077	90	7	rotating	rotate	VERB
ap-2077	90	8	a	a	DET
ap-2077	90	9	smooth	smooth	ADJ
ap-2077	90	10	closed	closed	ADJ
ap-2077	90	11	curve	curve	NOUN
ap-2077	90	12	around	around	ADP
ap-2077	90	13	an	an	DET
ap-2077	90	14	axis	axis	NOUN
ap-2077	90	15	that	that	PRON
ap-2077	90	16	does	do	AUX
ap-2077	90	17	not	not	PART
ap-2077	90	18	intersect	intersect	VERB
ap-2077	90	19	the	the	DET
ap-2077	90	20	curve	curve	NOUN
ap-2077	90	21	,	,	PUNCT
ap-2077	90	22	and	and	CCONJ
ap-2077	90	23	the	the	DET
ap-2077	90	24	metric	metric	NOUN
ap-2077	90	25	is	be	AUX
ap-2077	90	26	of	of	ADP
ap-2077	90	27	the	the	DET
ap-2077	90	28	form	form	NOUN
ap-2077	90	29	ds2	ds2	PROPN
ap-2077	90	30	=	=	PUNCT
ap-2077	90	31	dz2	dz2	NOUN
ap-2077	90	32	+	+	CCONJ
ap-2077	90	33	u2(z)dϕ2	u2(z)dϕ2	ADJ
ap-2077	90	34	,	,	PUNCT
ap-2077	90	35	figure	figure	NOUN
ap-2077	90	36	2	2	NUM
ap-2077	90	37	.	.	PUNCT
ap-2077	90	38	spectral	spectral	ADJ
ap-2077	90	39	graph	graph	NOUN
ap-2077	90	40	for	for	ADP
ap-2077	90	41	the	the	DET
ap-2077	90	42	case	case	NOUN
ap-2077	90	43	v	v	ADP
ap-2077	90	44	=	=	SYM
ap-2077	90	45	cosx	cosx	PROPN
ap-2077	91	1	+	+	PROPN
ap-2077	91	2	cos	cos	ADP
ap-2077	91	3	2x	2x	NUM
ap-2077	91	4	where	where	SCONJ
ap-2077	91	5	z	z	NOUN
ap-2077	91	6	stands	stand	VERB
ap-2077	91	7	for	for	ADP
ap-2077	91	8	the	the	DET
ap-2077	91	9	arc	arc	NOUN
ap-2077	91	10	length	length	NOUN
ap-2077	91	11	parameter	parameter	NOUN
ap-2077	91	12	on	on	ADP
ap-2077	91	13	the	the	DET
ap-2077	91	14	rotating	rotate	VERB
ap-2077	91	15	curve	curve	NOUN
ap-2077	91	16	,	,	PUNCT
ap-2077	91	17	u(z	u(z	NOUN
ap-2077	91	18	)	)	PUNCT
ap-2077	91	19	for	for	ADP
ap-2077	91	20	the	the	DET
ap-2077	91	21	distance	distance	NOUN
ap-2077	91	22	of	of	ADP
ap-2077	91	23	the	the	DET
ap-2077	91	24	point	point	NOUN
ap-2077	91	25	to	to	ADP
ap-2077	91	26	the	the	DET
ap-2077	91	27	axis	axis	NOUN
ap-2077	91	28	of	of	ADP
ap-2077	91	29	rotation	rotation	NOUN
ap-2077	91	30	(	(	PUNCT
ap-2077	91	31	we	we	PRON
ap-2077	91	32	assume	assume	VERB
ap-2077	91	33	that	that	SCONJ
ap-2077	91	34	u	u	PRON
ap-2077	91	35	is	be	AUX
ap-2077	91	36	a	a	DET
ap-2077	91	37	trigonometric	trigonometric	ADJ
ap-2077	91	38	polynomial	polynomial	NOUN
ap-2077	91	39	)	)	PUNCT
ap-2077	91	40	,	,	PUNCT
ap-2077	91	41	and	and	CCONJ
ap-2077	91	42	ϕ	ϕ	NOUN
ap-2077	91	43	for	for	ADP
ap-2077	91	44	the	the	DET
ap-2077	91	45	angle	angle	NOUN
ap-2077	91	46	of	of	ADP
ap-2077	91	47	rotation	rotation	NOUN
ap-2077	91	48	.	.	PUNCT
ap-2077	92	1	we	we	PRON
ap-2077	92	2	assume	assume	VERB
ap-2077	92	3	that	that	SCONJ
ap-2077	92	4	field	field	NOUN
ap-2077	92	5	v	v	NOUN
ap-2077	92	6	is	be	AUX
ap-2077	92	7	directed	direct	VERB
ap-2077	92	8	along	along	ADP
ap-2077	92	9	the	the	DET
ap-2077	92	10	parallels	parallel	NOUN
ap-2077	92	11	,	,	PUNCT
ap-2077	92	12	v	v	NOUN
ap-2077	92	13	=	=	SYM
ap-2077	92	14	a(z	a(z	PROPN
ap-2077	92	15	)	)	PUNCT
ap-2077	92	16	∂	∂	NUM
ap-2077	93	1	∂ϕ	∂ϕ	PROPN
ap-2077	93	2	,	,	PUNCT
ap-2077	93	3	where	where	SCONJ
ap-2077	93	4	a	a	PRON
ap-2077	93	5	is	be	AUX
ap-2077	93	6	a	a	DET
ap-2077	93	7	trigonometric	trigonometric	ADJ
ap-2077	93	8	polynomial	polynomial	NOUN
ap-2077	93	9	,	,	PUNCT
ap-2077	93	10	in	in	ADP
ap-2077	93	11	which	which	DET
ap-2077	93	12	case	case	NOUN
ap-2077	93	13	,	,	PUNCT
ap-2077	93	14	the	the	DET
ap-2077	93	15	variables	variable	NOUN
ap-2077	93	16	in	in	ADP
ap-2077	93	17	the	the	DET
ap-2077	93	18	spectral	spectral	ADJ
ap-2077	93	19	equation	equation	NOUN
ap-2077	93	20	can	can	AUX
ap-2077	93	21	be	be	AUX
ap-2077	93	22	separated	separate	VERB
ap-2077	93	23	and	and	CCONJ
ap-2077	93	24	the	the	DET
ap-2077	93	25	asymptotic	asymptotic	ADJ
ap-2077	93	26	behavior	behavior	NOUN
ap-2077	93	27	of	of	ADP
ap-2077	93	28	the	the	DET
ap-2077	93	29	spectrum	spectrum	NOUN
ap-2077	93	30	can	can	AUX
ap-2077	93	31	be	be	AUX
ap-2077	93	32	calculated	calculate	VERB
ap-2077	93	33	by	by	ADP
ap-2077	93	34	using	use	VERB
ap-2077	93	35	equations	equation	NOUN
ap-2077	93	36	similar	similar	ADJ
ap-2077	93	37	to	to	ADP
ap-2077	93	38	(	(	PUNCT
ap-2077	93	39	5	5	NUM
ap-2077	93	40	)	)	PUNCT
ap-2077	93	41	.	.	PUNCT
ap-2077	94	1	the	the	DET
ap-2077	94	2	riemann	riemann	PROPN
ap-2077	94	3	surface	surface	PROPN
ap-2077	94	4	λ	λ	PROPN
ap-2077	94	5	is	be	AUX
ap-2077	94	6	given	give	VERB
ap-2077	94	7	by	by	ADP
ap-2077	94	8	the	the	DET
ap-2077	94	9	equation	equation	NOUN
ap-2077	94	10	p2	p2	NOUN
ap-2077	94	11	+	+	CCONJ
ap-2077	94	12	ina(z	ina(z	PROPN
ap-2077	94	13	)	)	PUNCT
ap-2077	95	1	=	=	SYM
ap-2077	95	2	λ	λ	X
ap-2077	95	3	(	(	PUNCT
ap-2077	95	4	n	n	X
ap-2077	95	5	is	be	AUX
ap-2077	95	6	an	an	DET
ap-2077	95	7	integer	integer	NOUN
ap-2077	95	8	constant	constant	ADJ
ap-2077	95	9	entering	enter	VERB
ap-2077	95	10	the	the	DET
ap-2077	95	11	separation	separation	NOUN
ap-2077	95	12	of	of	ADP
ap-2077	95	13	variables	variable	NOUN
ap-2077	95	14	)	)	PUNCT
ap-2077	95	15	,	,	PUNCT
ap-2077	95	16	and	and	CCONJ
ap-2077	95	17	the	the	DET
ap-2077	95	18	spectral	spectral	ADJ
ap-2077	95	19	graph	graph	NOUN
ap-2077	95	20	is	be	AUX
ap-2077	95	21	defined	define	VERB
ap-2077	95	22	from	from	ADP
ap-2077	95	23	equations	equation	NOUN
ap-2077	95	24	(	(	PUNCT
ap-2077	95	25	9	9	NUM
ap-2077	95	26	)	)	PUNCT
ap-2077	95	27	,	,	PUNCT
ap-2077	95	28	in	in	ADP
ap-2077	95	29	which	which	PRON
ap-2077	95	30	v	v	NOUN
ap-2077	95	31	=	=	X
ap-2077	95	32	na	na	NOUN
ap-2077	95	33	.	.	NOUN
ap-2077	95	34	3.2	3.2	NUM
ap-2077	95	35	.	.	PUNCT
ap-2077	96	1	sphere	sphere	ADV
ap-2077	96	2	the	the	DET
ap-2077	96	3	sphere	sphere	NOUN
ap-2077	96	4	is	be	AUX
ap-2077	96	5	obtained	obtain	VERB
ap-2077	96	6	by	by	ADP
ap-2077	96	7	rotating	rotate	VERB
ap-2077	96	8	a	a	DET
ap-2077	96	9	smooth	smooth	ADJ
ap-2077	96	10	curve	curve	NOUN
ap-2077	96	11	(	(	PUNCT
ap-2077	96	12	the	the	DET
ap-2077	96	13	graph	graph	NOUN
ap-2077	96	14	of	of	ADP
ap-2077	96	15	a	a	DET
ap-2077	96	16	function	function	NOUN
ap-2077	96	17	f(z	f(z	NOUN
ap-2077	96	18	)	)	PUNCT
ap-2077	96	19	)	)	PUNCT
ap-2077	96	20	around	around	ADP
ap-2077	96	21	the	the	DET
ap-2077	96	22	z	z	NOUN
ap-2077	96	23	axis	axis	NOUN
ap-2077	96	24	which	which	PRON
ap-2077	96	25	intersects	intersect	VERB
ap-2077	96	26	the	the	DET
ap-2077	96	27	curve	curve	NOUN
ap-2077	96	28	at	at	ADP
ap-2077	96	29	two	two	NUM
ap-2077	96	30	points	point	NOUN
ap-2077	96	31	at	at	ADP
ap-2077	96	32	which	which	PRON
ap-2077	96	33	the	the	DET
ap-2077	96	34	tangent	tangent	NOUN
ap-2077	96	35	to	to	ADP
ap-2077	96	36	the	the	DET
ap-2077	96	37	curve	curve	NOUN
ap-2077	96	38	is	be	AUX
ap-2077	96	39	perpendicular	perpendicular	ADJ
ap-2077	96	40	to	to	ADP
ap-2077	96	41	the	the	DET
ap-2077	96	42	axis	axis	NOUN
ap-2077	96	43	of	of	ADP
ap-2077	96	44	rotation	rotation	NOUN
ap-2077	96	45	(	(	PUNCT
ap-2077	96	46	the	the	DET
ap-2077	96	47	poles	pole	NOUN
ap-2077	96	48	of	of	ADP
ap-2077	96	49	the	the	DET
ap-2077	96	50	surface	surface	NOUN
ap-2077	96	51	)	)	PUNCT
ap-2077	96	52	.	.	PUNCT
ap-2077	97	1	we	we	PRON
ap-2077	97	2	assume	assume	VERB
ap-2077	97	3	that	that	SCONJ
ap-2077	97	4	f(z	f(z	NOUN
ap-2077	97	5	)	)	PUNCT
ap-2077	97	6	=	=	SYM
ap-2077	98	1	√	√	NUM
ap-2077	98	2	(	(	PUNCT
ap-2077	98	3	z	z	NOUN
ap-2077	98	4	−	−	PROPN
ap-2077	98	5	z1)(z	z1)(z	NOUN
ap-2077	98	6	−	−	ADP
ap-2077	98	7	z2)k(z	z2)k(z	NOUN
ap-2077	98	8	)	)	PUNCT
ap-2077	98	9	,	,	PUNCT
ap-2077	98	10	where	where	SCONJ
ap-2077	98	11	z1	z1	NOUN
ap-2077	98	12	and	and	CCONJ
ap-2077	98	13	z2	z2	PROPN
ap-2077	98	14	are	be	AUX
ap-2077	98	15	the	the	DET
ap-2077	98	16	poles	pole	NOUN
ap-2077	98	17	of	of	ADP
ap-2077	98	18	the	the	DET
ap-2077	98	19	surface	surface	NOUN
ap-2077	98	20	,	,	PUNCT
ap-2077	98	21	k(z	k(z	PROPN
ap-2077	98	22	)	)	PUNCT
ap-2077	98	23	is	be	AUX
ap-2077	98	24	a	a	DET
ap-2077	98	25	polynomial	polynomial	ADJ
ap-2077	98	26	,	,	PUNCT
ap-2077	98	27	and	and	CCONJ
ap-2077	98	28	k(z	k(z	PROPN
ap-2077	98	29	)	)	PUNCT
ap-2077	98	30	>	>	X
ap-2077	98	31	0	0	PUNCT
ap-2077	99	1	for	for	ADP
ap-2077	99	2	z	z	PROPN
ap-2077	99	3	∈	∈	PROPN
ap-2077	100	1	[	[	X
ap-2077	100	2	z1	z1	PROPN
ap-2077	100	3	,	,	PUNCT
ap-2077	100	4	z2	z2	PROPN
ap-2077	100	5	]	]	PUNCT
ap-2077	100	6	.	.	PUNCT
ap-2077	101	1	as	as	ADV
ap-2077	101	2	far	far	ADV
ap-2077	101	3	as	as	SCONJ
ap-2077	101	4	field	field	NOUN
ap-2077	101	5	v	v	NOUN
ap-2077	101	6	is	be	AUX
ap-2077	101	7	concerned	concern	VERB
ap-2077	101	8	,	,	PUNCT
ap-2077	101	9	it	it	PRON
ap-2077	101	10	is	be	AUX
ap-2077	101	11	assumed	assume	VERB
ap-2077	101	12	that	that	SCONJ
ap-2077	101	13	v	v	NOUN
ap-2077	101	14	=	=	SYM
ap-2077	101	15	a(z	a(z	PROPN
ap-2077	101	16	)	)	PUNCT
ap-2077	101	17	∂	∂	NUM
ap-2077	101	18	∂ϕ	∂ϕ	PROPN
ap-2077	101	19	,	,	PUNCT
ap-2077	101	20	where	where	SCONJ
ap-2077	101	21	a(z	a(z	NOUN
ap-2077	101	22	)	)	PUNCT
ap-2077	101	23	is	be	AUX
ap-2077	101	24	a	a	DET
ap-2077	101	25	polynomial	polynomial	NOUN
ap-2077	101	26	.	.	PUNCT
ap-2077	102	1	the	the	DET
ap-2077	102	2	riemann	riemann	PROPN
ap-2077	102	3	surface	surface	NOUN
ap-2077	102	4	is	be	AUX
ap-2077	102	5	given	give	VERB
ap-2077	102	6	in	in	ADP
ap-2077	102	7	c2	c2	PROPN
ap-2077	102	8	by	by	ADP
ap-2077	102	9	the	the	DET
ap-2077	102	10	equation	equation	NOUN
ap-2077	102	11	p2f(z)2	p2f(z)2	NOUN
ap-2077	102	12	+	+	CCONJ
ap-2077	102	13	ina(z	ina(z	PROPN
ap-2077	102	14	)	)	PUNCT
ap-2077	103	1	=	=	PUNCT
ap-2077	103	2	λ	λ	NOUN
ap-2077	103	3	;	;	PUNCT
ap-2077	103	4	it	it	PRON
ap-2077	103	5	is	be	AUX
ap-2077	103	6	punctured	puncture	VERB
ap-2077	103	7	not	not	PART
ap-2077	103	8	only	only	ADV
ap-2077	103	9	at	at	ADP
ap-2077	103	10	the	the	DET
ap-2077	103	11	points	point	NOUN
ap-2077	103	12	at	at	ADP
ap-2077	103	13	infinity	infinity	NOUN
ap-2077	103	14	but	but	CCONJ
ap-2077	103	15	also	also	ADV
ap-2077	103	16	at	at	ADP
ap-2077	103	17	the	the	DET
ap-2077	103	18	zeros	zero	NOUN
ap-2077	103	19	of	of	ADP
ap-2077	103	20	f	f	PROPN
ap-2077	103	21	(	(	PUNCT
ap-2077	103	22	i.e.	i.e.	X
ap-2077	103	23	,	,	PUNCT
ap-2077	103	24	at	at	ADP
ap-2077	103	25	the	the	DET
ap-2077	103	26	the	the	DET
ap-2077	103	27	poles	pole	NOUN
ap-2077	103	28	of	of	ADP
ap-2077	103	29	m	m	PROPN
ap-2077	103	30	)	)	PUNCT
ap-2077	103	31	.	.	PUNCT
ap-2077	104	1	the	the	DET
ap-2077	104	2	asymptotics	asymptotic	NOUN
ap-2077	104	3	of	of	ADP
ap-2077	104	4	the	the	DET
ap-2077	104	5	spectrum	spectrum	NOUN
ap-2077	104	6	is	be	AUX
ap-2077	104	7	still	still	ADV
ap-2077	104	8	defined	define	VERB
ap-2077	104	9	by	by	ADP
ap-2077	104	10	equation	equation	NOUN
ap-2077	104	11	(	(	PUNCT
ap-2077	104	12	5	5	NUM
ap-2077	104	13	)	)	PUNCT
ap-2077	104	14	;	;	PUNCT
ap-2077	104	15	analytical	analytical	ADJ
ap-2077	104	16	equations	equation	NOUN
ap-2077	104	17	(	(	PUNCT
ap-2077	104	18	8)	8)	NUM
ap-2077	104	19	are	be	AUX
ap-2077	104	20	replaced	replace	VERB
ap-2077	104	21	by	by	ADP
ap-2077	104	22	the	the	DET
ap-2077	104	23	equations∫	equations∫	NOUN
ap-2077	104	24	zk	zk	PROPN
ap-2077	104	25	zj	zj	PROPN
ap-2077	104	26	√	√	PROPN
ap-2077	104	27	(	(	PUNCT
ap-2077	104	28	f2	f2	PROPN
ap-2077	104	29	z	z	PROPN
ap-2077	104	30	+	+	NOUN
ap-2077	104	31	1)(ina(z	1)(ina(z	NUM
ap-2077	104	32	)	)	PUNCT
ap-2077	105	1	+	+	NUM
ap-2077	105	2	λ	λ	X
ap-2077	105	3	)	)	PUNCT
ap-2077	105	4	dz	dz	NOUN
ap-2077	105	5	=	=	NOUN
ap-2077	105	6	πh(mij	πh(mij	ADJ
ap-2077	105	7	+	+	CCONJ
ap-2077	105	8	µ/4	µ/4	PRON
ap-2077	105	9	)	)	PUNCT
ap-2077	105	10	,	,	PUNCT
ap-2077	105	11	where	where	SCONJ
ap-2077	105	12	zi	zi	NOUN
ap-2077	105	13	and	and	CCONJ
ap-2077	105	14	zj	zj	PROPN
ap-2077	105	15	are	be	AUX
ap-2077	105	16	the	the	DET
ap-2077	105	17	zeros	zero	NOUN
ap-2077	105	18	and	and	CCONJ
ap-2077	105	19	poles	pole	NOUN
ap-2077	105	20	of	of	ADP
ap-2077	105	21	the	the	DET
ap-2077	105	22	integrand	integrand	NOUN
ap-2077	105	23	(	(	PUNCT
ap-2077	105	24	in	in	ADP
ap-2077	105	25	particular	particular	ADJ
ap-2077	105	26	,	,	PUNCT
ap-2077	105	27	the	the	DET
ap-2077	105	28	poles	pole	NOUN
ap-2077	105	29	of	of	ADP
ap-2077	105	30	the	the	DET
ap-2077	105	31	surface	surface	NOUN
ap-2077	105	32	of	of	ADP
ap-2077	105	33	revolution	revolution	NOUN
ap-2077	105	34	m	m	PROPN
ap-2077	105	35	can	can	AUX
ap-2077	105	36	be	be	AUX
ap-2077	105	37	taken	take	VERB
ap-2077	105	38	as	as	ADP
ap-2077	105	39	the	the	DET
ap-2077	105	40	limits	limit	NOUN
ap-2077	105	41	of	of	ADP
ap-2077	105	42	integration	integration	NOUN
ap-2077	105	43	)	)	PUNCT
ap-2077	105	44	.	.	PUNCT
ap-2077	106	1	103	103	NUM
ap-2077	106	2	anna	anna	PROPN
ap-2077	106	3	i.	i.	PROPN
ap-2077	106	4	esina	esina	PROPN
ap-2077	106	5	,	,	PUNCT
ap-2077	106	6	andrei	andrei	PROPN
ap-2077	106	7	i.	i.	PROPN
ap-2077	106	8	shafarevich	shafarevich	PROPN
ap-2077	106	9	acta	acta	PROPN
ap-2077	106	10	polytechnica	polytechnica	PROPN
ap-2077	106	11	figure	figure	NOUN
ap-2077	106	12	3	3	NUM
ap-2077	106	13	.	.	PUNCT
ap-2077	106	14	cycles	cycle	NOUN
ap-2077	106	15	on	on	ADP
ap-2077	106	16	the	the	DET
ap-2077	106	17	riemann	riemann	PROPN
ap-2077	106	18	surface	surface	PROPN
ap-2077	106	19	as	as	ADP
ap-2077	106	20	an	an	DET
ap-2077	106	21	example	example	NOUN
ap-2077	106	22	,	,	PUNCT
ap-2077	106	23	consider	consider	VERB
ap-2077	106	24	the	the	DET
ap-2077	106	25	simplest	simple	ADJ
ap-2077	106	26	case	case	NOUN
ap-2077	106	27	of	of	ADP
ap-2077	106	28	the	the	DET
ap-2077	106	29	standard	standard	ADJ
ap-2077	106	30	sphere	sphere	NOUN
ap-2077	106	31	(	(	PUNCT
ap-2077	106	32	f	f	X
ap-2077	106	33	=	=	PUNCT
ap-2077	106	34	√	√	PROPN
ap-2077	106	35	1−	1−	NUM
ap-2077	106	36	z2	z2	PROPN
ap-2077	106	37	)	)	PUNCT
ap-2077	106	38	and	and	CCONJ
ap-2077	106	39	take	take	VERB
ap-2077	106	40	a(z	a(z	NOUN
ap-2077	106	41	)	)	PUNCT
ap-2077	106	42	=	=	PUNCT
ap-2077	107	1	z.	z.	PROPN
ap-2077	107	2	in	in	ADP
ap-2077	107	3	this	this	DET
ap-2077	107	4	case	case	NOUN
ap-2077	107	5	,	,	PUNCT
ap-2077	107	6	the	the	DET
ap-2077	107	7	riemann	riemann	PROPN
ap-2077	107	8	surface	surface	NOUN
ap-2077	107	9	is	be	AUX
ap-2077	107	10	homeomorphic	homeomorphic	ADJ
ap-2077	107	11	to	to	ADP
ap-2077	107	12	the	the	DET
ap-2077	107	13	torus	torus	NOUN
ap-2077	107	14	with	with	ADP
ap-2077	107	15	three	three	NUM
ap-2077	107	16	punctures	puncture	NOUN
ap-2077	107	17	,	,	PUNCT
ap-2077	107	18	namely	namely	ADV
ap-2077	107	19	,	,	PUNCT
ap-2077	107	20	at	at	ADP
ap-2077	107	21	the	the	DET
ap-2077	107	22	points	point	NOUN
ap-2077	107	23	z	z	NOUN
ap-2077	107	24	=	=	SYM
ap-2077	107	25	±1	±1	VERB
ap-2077	107	26	and	and	CCONJ
ap-2077	107	27	at	at	ADP
ap-2077	107	28	the	the	DET
ap-2077	107	29	point	point	NOUN
ap-2077	107	30	at	at	ADP
ap-2077	107	31	infinity	infinity	NOUN
ap-2077	107	32	.	.	PUNCT
ap-2077	108	1	the	the	DET
ap-2077	108	2	cycles	cycle	NOUN
ap-2077	108	3	are	be	AUX
ap-2077	108	4	depicted	depict	VERB
ap-2077	108	5	in	in	ADP
ap-2077	108	6	fig	fig	NOUN
ap-2077	108	7	.	.	PUNCT
ap-2077	109	1	3	3	X
ap-2077	109	2	.	.	X
ap-2077	109	3	cycle	cycle	NOUN
ap-2077	109	4	γ1	γ1	NOUN
ap-2077	109	5	goes	go	VERB
ap-2077	109	6	around	around	ADP
ap-2077	109	7	the	the	DET
ap-2077	109	8	points	point	NOUN
ap-2077	109	9	−1	−1	NOUN
ap-2077	109	10	and	and	CCONJ
ap-2077	109	11	1	1	NUM
ap-2077	109	12	,	,	PUNCT
ap-2077	109	13	the	the	DET
ap-2077	109	14	cycles	cycle	NOUN
ap-2077	109	15	γ2	γ2	NOUN
ap-2077	109	16	and	and	CCONJ
ap-2077	109	17	γ3	γ3	NOUN
ap-2077	109	18	go	go	VERB
ap-2077	109	19	around	around	ADP
ap-2077	109	20	the	the	DET
ap-2077	109	21	points	point	NOUN
ap-2077	109	22	iλ	iλ	PROPN
ap-2077	109	23	/	/	SYM
ap-2077	109	24	n	n	CCONJ
ap-2077	109	25	,	,	PUNCT
ap-2077	109	26	−1	−1	NOUN
ap-2077	109	27	and	and	CCONJ
ap-2077	109	28	the	the	DET
ap-2077	109	29	points	point	NOUN
ap-2077	109	30	iλ	iλ	PROPN
ap-2077	109	31	/	/	SYM
ap-2077	109	32	n	n	CCONJ
ap-2077	109	33	,	,	PUNCT
ap-2077	109	34	1	1	NUM
ap-2077	109	35	,	,	PUNCT
ap-2077	109	36	respectively	respectively	ADV
ap-2077	109	37	.	.	PUNCT
ap-2077	110	1	every	every	DET
ap-2077	110	2	cycle	cycle	NOUN
ap-2077	110	3	defines	define	VERB
ap-2077	110	4	the	the	DET
ap-2077	110	5	corresponding	corresponding	ADJ
ap-2077	110	6	quantization	quantization	NOUN
ap-2077	110	7	conditions	condition	NOUN
ap-2077	110	8	,	,	PUNCT
ap-2077	110	9	which	which	PRON
ap-2077	110	10	are	be	AUX
ap-2077	110	11	of	of	ADP
ap-2077	110	12	the	the	DET
ap-2077	110	13	form	form	NOUN
ap-2077	110	14	1	1	NUM
ap-2077	110	15	πh	πh	NOUN
ap-2077	110	16	∫	∫	PROPN
ap-2077	110	17	1	1	NUM
ap-2077	110	18	−1	−1	NOUN
ap-2077	110	19	√	√	PUNCT
ap-2077	111	1	inz	inz	PROPN
ap-2077	111	2	−	−	PROPN
ap-2077	111	3	λ	λ	PROPN
ap-2077	111	4	1−	1−	NUM
ap-2077	111	5	z2	z2	NOUN
ap-2077	111	6	dz	dz	NOUN
ap-2077	111	7	=	=	NOUN
ap-2077	111	8	1	1	NUM
ap-2077	111	9	2	2	NUM
ap-2077	111	10	+	+	NOUN
ap-2077	111	11	m1	m1	NOUN
ap-2077	111	12	for	for	ADP
ap-2077	111	13	cycle	cycle	NOUN
ap-2077	111	14	γ1	γ1	NOUN
ap-2077	111	15	,	,	PUNCT
ap-2077	111	16	1	1	NUM
ap-2077	111	17	πh	πh	NOUN
ap-2077	111	18	∫	∫	PROPN
ap-2077	111	19	iλ	iλ	PROPN
ap-2077	111	20	/	/	SYM
ap-2077	111	21	n	n	NUM
ap-2077	111	22	−1	−1	NOUN
ap-2077	111	23	√	√	PUNCT
ap-2077	111	24	inz	inz	PROPN
ap-2077	112	1	−	−	PROPN
ap-2077	112	2	λ	λ	PROPN
ap-2077	112	3	1−	1−	NUM
ap-2077	112	4	z2	z2	PROPN
ap-2077	112	5	dz	dz	PROPN
ap-2077	112	6	=	=	PROPN
ap-2077	112	7	m2	m2	PROPN
ap-2077	112	8	for	for	ADP
ap-2077	112	9	cycle	cycle	NOUN
ap-2077	112	10	γ2	γ2	NOUN
ap-2077	112	11	,	,	PUNCT
ap-2077	112	12	and	and	CCONJ
ap-2077	112	13	1	1	NUM
ap-2077	112	14	πh	πh	NOUN
ap-2077	112	15	∫	∫	PROPN
ap-2077	112	16	iλ	iλ	PROPN
ap-2077	112	17	/	/	SYM
ap-2077	112	18	n	n	PROPN
ap-2077	112	19	1	1	NUM
ap-2077	112	20	√	√	NUM
ap-2077	112	21	inz	inz	PROPN
ap-2077	112	22	−	−	PROPN
ap-2077	112	23	λ	λ	PROPN
ap-2077	112	24	1−	1−	NUM
ap-2077	112	25	z2	z2	PROPN
ap-2077	112	26	dz	dz	PROPN
ap-2077	112	27	=	=	PROPN
ap-2077	112	28	m3	m3	PROPN
ap-2077	112	29	for	for	ADP
ap-2077	112	30	cycle	cycle	NOUN
ap-2077	112	31	γ3	γ3	NOUN
ap-2077	112	32	.	.	PUNCT
ap-2077	113	1	to	to	ADP
ap-2077	113	2	every	every	DET
ap-2077	113	3	quantization	quantization	NOUN
ap-2077	113	4	condition	condition	NOUN
ap-2077	113	5	,	,	PUNCT
ap-2077	113	6	there	there	PRON
ap-2077	113	7	corresponds	correspond	VERB
ap-2077	113	8	its	its	PRON
ap-2077	113	9	own	own	ADJ
ap-2077	113	10	sequence	sequence	NOUN
ap-2077	113	11	of	of	ADP
ap-2077	113	12	eigenvalues	eigenvalue	NOUN
ap-2077	113	13	.	.	PUNCT
ap-2077	114	1	remark	remark	PROPN
ap-2077	114	2	10	10	NUM
ap-2077	114	3	.	.	PUNCT
ap-2077	115	1	in	in	ADP
ap-2077	115	2	contrast	contrast	NOUN
ap-2077	115	3	to	to	ADP
ap-2077	115	4	the	the	DET
ap-2077	115	5	preceding	precede	VERB
ap-2077	115	6	section	section	NOUN
ap-2077	115	7	,	,	PUNCT
ap-2077	115	8	the	the	DET
ap-2077	115	9	quantization	quantization	NOUN
ap-2077	115	10	conditions	condition	NOUN
ap-2077	115	11	corresponding	correspond	VERB
ap-2077	115	12	to	to	ADP
ap-2077	115	13	a	a	DET
ap-2077	115	14	surface	surface	NOUN
ap-2077	115	15	of	of	ADP
ap-2077	115	16	revolution	revolution	NOUN
ap-2077	115	17	involve	involve	VERB
ap-2077	115	18	an	an	DET
ap-2077	115	19	integer	integer	NOUN
ap-2077	115	20	n	n	NOUN
ap-2077	115	21	(	(	PUNCT
ap-2077	115	22	the	the	DET
ap-2077	115	23	constant	constant	ADJ
ap-2077	115	24	arising	arise	VERB
ap-2077	115	25	in	in	ADP
ap-2077	115	26	the	the	DET
ap-2077	115	27	course	course	NOUN
ap-2077	115	28	of	of	ADP
ap-2077	115	29	the	the	DET
ap-2077	115	30	separation	separation	NOUN
ap-2077	115	31	of	of	ADP
ap-2077	115	32	variables	variable	NOUN
ap-2077	115	33	)	)	PUNCT
ap-2077	115	34	.	.	PUNCT
ap-2077	116	1	the	the	DET
ap-2077	116	2	asymptotic	asymptotic	ADJ
ap-2077	116	3	eigenvalues	eigenvalue	NOUN
ap-2077	116	4	and	and	CCONJ
ap-2077	116	5	the	the	DET
ap-2077	116	6	edges	edge	NOUN
ap-2077	116	7	of	of	ADP
ap-2077	116	8	the	the	DET
ap-2077	116	9	spectral	spectral	ADJ
ap-2077	116	10	graph	graph	NOUN
ap-2077	116	11	depend	depend	VERB
ap-2077	116	12	on	on	ADP
ap-2077	116	13	n	n	CCONJ
ap-2077	116	14	;	;	PUNCT
ap-2077	116	15	thus	thus	ADV
ap-2077	116	16	,	,	PUNCT
ap-2077	116	17	the	the	DET
ap-2077	116	18	graph	graph	NOUN
ap-2077	116	19	now	now	ADV
ap-2077	116	20	consists	consist	VERB
ap-2077	116	21	of	of	ADP
ap-2077	116	22	countably	countably	ADV
ap-2077	116	23	many	many	ADJ
ap-2077	116	24	edges	edge	NOUN
ap-2077	116	25	.	.	PUNCT
ap-2077	117	1	for	for	ADP
ap-2077	117	2	the	the	DET
ap-2077	117	3	standard	standard	ADJ
ap-2077	117	4	sphere	sphere	NOUN
ap-2077	117	5	and	and	CCONJ
ap-2077	117	6	for	for	ADP
ap-2077	117	7	a	a	DET
ap-2077	117	8	=	=	SYM
ap-2077	117	9	z	z	NOUN
ap-2077	117	10	,	,	PUNCT
ap-2077	117	11	this	this	DET
ap-2077	117	12	graph	graph	NOUN
ap-2077	117	13	is	be	AUX
ap-2077	117	14	shown	show	VERB
ap-2077	117	15	in	in	ADP
ap-2077	117	16	fig	fig	NOUN
ap-2077	117	17	.	.	PUNCT
ap-2077	118	1	4	4	NUM
ap-2077	118	2	.	.	X
ap-2077	118	3	4	4	NUM
ap-2077	118	4	.	.	PUNCT
ap-2077	118	5	conclusions	conclusion	NOUN
ap-2077	118	6	we	we	PRON
ap-2077	118	7	have	have	AUX
ap-2077	118	8	studied	study	VERB
ap-2077	118	9	the	the	DET
ap-2077	118	10	asymptotic	asymptotic	ADJ
ap-2077	118	11	behavior	behavior	NOUN
ap-2077	118	12	of	of	ADP
ap-2077	118	13	the	the	DET
ap-2077	118	14	eigenvalues	eigenvalue	NOUN
ap-2077	118	15	of	of	ADP
ap-2077	118	16	the	the	DET
ap-2077	118	17	schrödinger	schrödinger	ADJ
ap-2077	118	18	operator	operator	NOUN
ap-2077	118	19	with	with	ADP
ap-2077	118	20	complex	complex	ADJ
ap-2077	118	21	periodic	periodic	ADJ
ap-2077	118	22	potential	potential	NOUN
ap-2077	118	23	and	and	CCONJ
ap-2077	118	24	of	of	ADP
ap-2077	118	25	the	the	DET
ap-2077	118	26	induction	induction	NOUN
ap-2077	118	27	operator	operator	NOUN
ap-2077	118	28	on	on	ADP
ap-2077	118	29	the	the	DET
ap-2077	118	30	figure	figure	NOUN
ap-2077	118	31	4	4	NUM
ap-2077	118	32	.	.	PUNCT
ap-2077	118	33	spectral	spectral	ADJ
ap-2077	118	34	graph	graph	NOUN
ap-2077	118	35	with	with	ADP
ap-2077	118	36	countably	countably	ADV
ap-2077	118	37	many	many	ADJ
ap-2077	118	38	edges	edge	NOUN
ap-2077	118	39	surface	surface	NOUN
ap-2077	118	40	of	of	ADP
ap-2077	118	41	revolution	revolution	NOUN
ap-2077	118	42	.	.	PUNCT
ap-2077	119	1	both	both	PRON
ap-2077	119	2	appear	appear	VERB
ap-2077	119	3	in	in	ADP
ap-2077	119	4	concrete	concrete	ADJ
ap-2077	119	5	physical	physical	ADJ
ap-2077	119	6	problems	problem	NOUN
ap-2077	119	7	(	(	PUNCT
ap-2077	119	8	a	a	DET
ap-2077	119	9	study	study	NOUN
ap-2077	119	10	of	of	ADP
ap-2077	119	11	the	the	DET
ap-2077	119	12	stability	stability	NOUN
ap-2077	119	13	of	of	ADP
ap-2077	119	14	a	a	DET
ap-2077	119	15	viscous	viscous	ADJ
ap-2077	119	16	fluid	fluid	NOUN
ap-2077	119	17	,	,	PUNCT
ap-2077	119	18	a	a	DET
ap-2077	119	19	description	description	NOUN
ap-2077	119	20	of	of	ADP
ap-2077	119	21	the	the	DET
ap-2077	119	22	magnetic	magnetic	ADJ
ap-2077	119	23	fields	field	NOUN
ap-2077	119	24	in	in	ADP
ap-2077	119	25	stars	star	NOUN
ap-2077	119	26	and	and	CCONJ
ap-2077	119	27	galaxies	galaxy	NOUN
ap-2077	119	28	,	,	PUNCT
ap-2077	119	29	statistical	statistical	ADJ
ap-2077	119	30	mechanics	mechanic	NOUN
ap-2077	119	31	of	of	ADP
ap-2077	119	32	coulomb	coulomb	NOUN
ap-2077	119	33	gas	gas	NOUN
ap-2077	119	34	etc	etc	X
ap-2077	119	35	.	.	X
ap-2077	119	36	)	)	PUNCT
ap-2077	120	1	we	we	PRON
ap-2077	120	2	show	show	VERB
ap-2077	120	3	that	that	SCONJ
ap-2077	120	4	semiclassical	semiclassical	ADJ
ap-2077	120	5	asymptotics	asymptotic	NOUN
ap-2077	120	6	of	of	ADP
ap-2077	120	7	the	the	DET
ap-2077	120	8	spectrum	spectrum	NOUN
ap-2077	120	9	can	can	AUX
ap-2077	120	10	be	be	AUX
ap-2077	120	11	computed	compute	VERB
ap-2077	120	12	with	with	ADP
ap-2077	120	13	help	help	NOUN
ap-2077	120	14	of	of	ADP
ap-2077	120	15	quantization	quantization	NOUN
ap-2077	120	16	conditions	condition	NOUN
ap-2077	120	17	on	on	ADP
ap-2077	120	18	the	the	DET
ap-2077	120	19	corresponding	corresponding	ADJ
ap-2077	120	20	riemann	riemann	PROPN
ap-2077	120	21	surface	surface	NOUN
ap-2077	120	22	.	.	PUNCT
ap-2077	121	1	we	we	PRON
ap-2077	121	2	discuss	discuss	VERB
ap-2077	121	3	the	the	DET
ap-2077	121	4	relation	relation	NOUN
ap-2077	121	5	of	of	ADP
ap-2077	121	6	these	these	DET
ap-2077	121	7	equation	equation	NOUN
ap-2077	121	8	to	to	ADP
ap-2077	121	9	the	the	DET
ap-2077	121	10	standard	standard	ADJ
ap-2077	121	11	ebk	ebk	PROPN
ap-2077	121	12	—	—	PUNCT
ap-2077	121	13	maslov	maslov	ADJ
ap-2077	121	14	quantization	quantization	NOUN
ap-2077	121	15	:	:	PUNCT
ap-2077	121	16	equations	equation	NOUN
ap-2077	121	17	should	should	AUX
ap-2077	121	18	be	be	AUX
ap-2077	121	19	considered	consider	VERB
ap-2077	121	20	for	for	ADP
ap-2077	121	21	different	different	ADJ
ap-2077	121	22	cycles	cycle	NOUN
ap-2077	121	23	of	of	ADP
ap-2077	121	24	the	the	DET
ap-2077	121	25	surface	surface	NOUN
ap-2077	121	26	separately	separately	ADV
ap-2077	121	27	and	and	CCONJ
ap-2077	121	28	the	the	DET
ap-2077	121	29	maslov	maslov	ADJ
ap-2077	121	30	index	index	NOUN
ap-2077	121	31	should	should	AUX
ap-2077	121	32	be	be	AUX
ap-2077	121	33	replaced	replace	VERB
ap-2077	121	34	by	by	ADP
ap-2077	121	35	the	the	DET
ap-2077	121	36	index	index	NOUN
ap-2077	121	37	of	of	ADP
ap-2077	121	38	intersection	intersection	NOUN
ap-2077	121	39	with	with	ADP
ap-2077	121	40	the	the	DET
ap-2077	121	41	pull	pull	NOUN
ap-2077	121	42	-	-	PUNCT
ap-2077	121	43	back	back	NOUN
ap-2077	121	44	of	of	ADP
ap-2077	121	45	the	the	DET
ap-2077	121	46	real	real	ADJ
ap-2077	121	47	circle	circle	NOUN
ap-2077	121	48	.	.	PUNCT
ap-2077	122	1	acknowledgements	acknowledgement	NOUN
ap-2077	122	2	our	our	PRON
ap-2077	122	3	research	research	NOUN
ap-2077	122	4	was	be	AUX
ap-2077	122	5	supported	support	VERB
ap-2077	122	6	by	by	ADP
ap-2077	122	7	a	a	DET
ap-2077	122	8	grant	grant	NOUN
ap-2077	122	9	from	from	ADP
ap-2077	122	10	the	the	DET
ap-2077	122	11	government	government	NOUN
ap-2077	122	12	of	of	ADP
ap-2077	122	13	the	the	DET
ap-2077	122	14	russian	russian	PROPN
ap-2077	122	15	federation	federation	PROPN
ap-2077	122	16	for	for	ADP
ap-2077	122	17	state	state	NOUN
ap-2077	122	18	support	support	NOUN
ap-2077	122	19	for	for	ADP
ap-2077	122	20	scientific	scientific	ADJ
ap-2077	122	21	research	research	NOUN
ap-2077	122	22	carried	carry	VERB
ap-2077	122	23	out	out	ADP
ap-2077	122	24	under	under	ADP
ap-2077	122	25	the	the	DET
ap-2077	122	26	supervision	supervision	NOUN
ap-2077	122	27	of	of	ADP
ap-2077	122	28	leading	lead	VERB
ap-2077	122	29	scientists	scientist	NOUN
ap-2077	122	30	at	at	ADP
ap-2077	122	31	the	the	DET
ap-2077	122	32	lomonosov	lomonosov	NOUN
ap-2077	122	33	moscow	moscow	PROPN
ap-2077	122	34	state	state	PROPN
ap-2077	122	35	university	university	PROPN
ap-2077	122	36	federal	federal	ADJ
ap-2077	122	37	budget	budget	PROPN
ap-2077	122	38	educational	educational	ADJ
ap-2077	122	39	institution	institution	NOUN
ap-2077	122	40	of	of	ADP
ap-2077	122	41	higher	high	ADJ
ap-2077	122	42	professional	professional	ADJ
ap-2077	122	43	education	education	NOUN
ap-2077	122	44	,	,	PUNCT
ap-2077	122	45	according	accord	VERB
ap-2077	122	46	to	to	ADP
ap-2077	122	47	agreement	agreement	NOUN
ap-2077	122	48	11.g34.31.0054	11.g34.31.0054	NUM
ap-2077	122	49	,	,	PUNCT
ap-2077	122	50	and	and	CCONJ
ap-2077	122	51	also	also	ADV
ap-2077	122	52	by	by	ADP
ap-2077	122	53	the	the	DET
ap-2077	122	54	russian	russian	ADJ
ap-2077	122	55	foundation	foundation	NOUN
ap-2077	122	56	for	for	ADP
ap-2077	122	57	basic	basic	ADJ
ap-2077	122	58	research	research	NOUN
ap-2077	122	59	under	under	ADP
ap-2077	122	60	grants	grant	NOUN
ap-2077	122	61	09	09	NUM
ap-2077	122	62	-	-	SYM
ap-2077	122	63	01	01	NUM
ap-2077	122	64	-	-	PUNCT
ap-2077	122	65	12063	12063	NUM
ap-2077	122	66	-	-	PUNCT
ap-2077	122	67	ofi	ofi	PROPN
ap-2077	122	68	-	-	PUNCT
ap-2077	122	69	m	m	PROPN
ap-2077	122	70	,	,	PUNCT
ap-2077	122	71	11	11	NUM
ap-2077	122	72	-	-	SYM
ap-2077	122	73	01	01	NUM
ap-2077	122	74	-	-	PUNCT
ap-2077	122	75	00937	00937	NUM
ap-2077	122	76	-	-	PUNCT
ap-2077	122	77	a	a	NOUN
ap-2077	122	78	,	,	PUNCT
ap-2077	122	79	and	and	CCONJ
ap-2077	122	80	13	13	NUM
ap-2077	122	81	-	-	SYM
ap-2077	122	82	01	01	NUM
ap-2077	122	83	-	-	PUNCT
ap-2077	122	84	00664	00664	NUM
ap-2077	122	85	,	,	PUNCT
ap-2077	122	86	by	by	ADP
ap-2077	122	87	the	the	DET
ap-2077	122	88	program	program	NOUN
ap-2077	122	89	in	in	ADP
ap-2077	122	90	support	support	NOUN
ap-2077	122	91	of	of	ADP
ap-2077	122	92	leasing	lease	VERB
ap-2077	122	93	scientific	scientific	ADJ
ap-2077	122	94	schools	school	NOUN
ap-2077	122	95	(	(	PUNCT
ap-2077	122	96	under	under	ADP
ap-2077	122	97	grant	grant	NOUN
ap-2077	122	98	3224.2010.1	3224.2010.1	NUM
ap-2077	122	99	)	)	PUNCT
ap-2077	122	100	,	,	PUNCT
ap-2077	122	101	and	and	CCONJ
ap-2077	122	102	a	a	DET
ap-2077	122	103	grant	grant	NOUN
ap-2077	122	104	“	"	PUNCT
ap-2077	122	105	my	my	PRON
ap-2077	122	106	first	first	ADJ
ap-2077	122	107	grant	grant	NOUN
ap-2077	122	108	”	"	PUNCT
ap-2077	122	109	project	project	NOUN
ap-2077	122	110	12	12	NUM
ap-2077	122	111	-	-	PUNCT
ap-2077	122	112	01	01	NUM
ap-2077	122	113	-	-	PUNCT
ap-2077	122	114	31235	31235	NUM
ap-2077	122	115	.	.	PUNCT
ap-2077	123	1	the	the	DET
ap-2077	123	2	authors	author	NOUN
ap-2077	123	3	thank	thank	VERB
ap-2077	123	4	the	the	DET
ap-2077	123	5	referees	referee	NOUN
ap-2077	123	6	for	for	ADP
ap-2077	123	7	very	very	ADV
ap-2077	123	8	useful	useful	ADJ
ap-2077	123	9	recommendations	recommendation	NOUN
ap-2077	123	10	.	.	PUNCT
ap-2077	124	1	references	reference	NOUN
ap-2077	124	2	[	[	X
ap-2077	124	3	1	1	X
ap-2077	124	4	]	]	PUNCT
ap-2077	124	5	v.	v.	PROPN
ap-2077	124	6	p.	p.	PROPN
ap-2077	124	7	maslov	maslov	PROPN
ap-2077	124	8	.	.	PUNCT
ap-2077	125	1	asymptotic	asymptotic	ADJ
ap-2077	125	2	methods	method	NOUN
ap-2077	125	3	and	and	CCONJ
ap-2077	125	4	perturbation	perturbation	NOUN
ap-2077	125	5	theory	theory	NOUN
ap-2077	125	6	.	.	PUNCT
ap-2077	126	1	mgu	mgu	PROPN
ap-2077	126	2	,	,	PUNCT
ap-2077	126	3	1965	1965	NUM
ap-2077	126	4	.	.	PUNCT
ap-2077	127	1	[	[	X
ap-2077	127	2	2	2	X
ap-2077	127	3	]	]	PUNCT
ap-2077	127	4	v.	v.	PROPN
ap-2077	127	5	p.	p.	PROPN
ap-2077	127	6	maslov	maslov	PROPN
ap-2077	127	7	,	,	PUNCT
ap-2077	127	8	m.	m.	NOUN
ap-2077	127	9	v.	v.	ADP
ap-2077	127	10	fedoryuk	fedoryuk	NOUN
ap-2077	127	11	.	.	PUNCT
ap-2077	128	1	quasiclassical	quasiclassical	ADJ
ap-2077	128	2	approximation	approximation	NOUN
ap-2077	128	3	for	for	ADP
ap-2077	128	4	the	the	DET
ap-2077	128	5	equations	equation	NOUN
ap-2077	128	6	of	of	ADP
ap-2077	128	7	quantum	quantum	ADJ
ap-2077	128	8	mechanics	mechanic	NOUN
ap-2077	128	9	.	.	PUNCT
ap-2077	129	1	nauka	nauka	PROPN
ap-2077	129	2	,	,	PUNCT
ap-2077	129	3	1976	1976	NUM
ap-2077	129	4	.	.	PUNCT
ap-2077	130	1	[	[	X
ap-2077	130	2	3	3	X
ap-2077	130	3	]	]	X
ap-2077	130	4	e.	e.	PROPN
ap-2077	130	5	b.	b.	PROPN
ap-2077	130	6	davies	davies	PROPN
ap-2077	130	7	.	.	PUNCT
ap-2077	131	1	pseudospectra	pseudospectra	PROPN
ap-2077	131	2	of	of	ADP
ap-2077	131	3	differential	differential	PROPN
ap-2077	131	4	operators	operator	NOUN
ap-2077	131	5	.	.	PUNCT
ap-2077	132	1	operator	operator	NOUN
ap-2077	132	2	theory	theory	NOUN
ap-2077	132	3	43:243–262	43:243–262	PROPN
ap-2077	132	4	,	,	PUNCT
ap-2077	132	5	2000	2000	NUM
ap-2077	132	6	.	.	PUNCT
ap-2077	133	1	[	[	X
ap-2077	133	2	4	4	X
ap-2077	133	3	]	]	PUNCT
ap-2077	133	4	m.	m.	NOUN
ap-2077	133	5	a.	a.	NOUN
ap-2077	133	6	evgrafov	evgrafov	PROPN
ap-2077	133	7	,	,	PUNCT
ap-2077	133	8	m.	m.	NOUN
ap-2077	133	9	v.	v.	ADP
ap-2077	133	10	fedorjuk	fedorjuk	PROPN
ap-2077	133	11	.	.	PUNCT
ap-2077	134	1	asymptotic	asymptotic	ADJ
ap-2077	134	2	behavior	behavior	NOUN
ap-2077	134	3	of	of	ADP
ap-2077	134	4	solutions	solution	NOUN
ap-2077	134	5	of	of	ADP
ap-2077	134	6	the	the	DET
ap-2077	134	7	equation	equation	NOUN
ap-2077	134	8	w′′	w′′	NOUN
ap-2077	134	9	−	−	PROPN
ap-2077	134	10	p(z	p(z	PROPN
ap-2077	134	11	,	,	PUNCT
ap-2077	134	12	λ)w	λ)w	PUNCT
ap-2077	135	1	=	=	SYM
ap-2077	135	2	0	0	PUNCT
ap-2077	135	3	as	as	ADP
ap-2077	135	4	λ→∞	λ→∞	NUM
ap-2077	135	5	in	in	ADP
ap-2077	135	6	the	the	DET
ap-2077	135	7	complex	complex	ADJ
ap-2077	135	8	z	z	NOUN
ap-2077	135	9	-	-	PUNCT
ap-2077	135	10	plane	plane	NOUN
ap-2077	135	11	.	.	PUNCT
ap-2077	136	1	uspekhi	uspekhi	PROPN
ap-2077	136	2	mat	mat	PROPN
ap-2077	136	3	nauk	nauk	PROPN
ap-2077	136	4	21(2):3–50	21(2):3–50	NUM
ap-2077	136	5	,	,	PUNCT
ap-2077	136	6	1966	1966	NUM
ap-2077	136	7	.	.	PUNCT
ap-2077	137	1	[	[	X
ap-2077	137	2	5	5	X
ap-2077	137	3	]	]	PUNCT
ap-2077	137	4	m.	m.	NOUN
ap-2077	137	5	v.	v.	ADP
ap-2077	137	6	fedoryuk	fedoryuk	NOUN
ap-2077	137	7	.	.	PUNCT
ap-2077	138	1	asymptotic	asymptotic	ADJ
ap-2077	138	2	analysis	analysis	NOUN
ap-2077	138	3	:	:	PUNCT
ap-2077	138	4	linear	linear	ADJ
ap-2077	138	5	ordinary	ordinary	ADJ
ap-2077	138	6	differential	differential	ADJ
ap-2077	138	7	equations	equation	NOUN
ap-2077	138	8	.	.	PUNCT
ap-2077	139	1	springer	springer	NOUN
ap-2077	139	2	-	-	PUNCT
ap-2077	139	3	verlag	verlag	PROPN
ap-2077	139	4	,	,	PUNCT
ap-2077	139	5	1993	1993	NUM
ap-2077	139	6	.	.	PUNCT
ap-2077	140	1	[	[	X
ap-2077	140	2	6	6	NUM
ap-2077	140	3	]	]	PUNCT
ap-2077	140	4	i.	i.	NOUN
ap-2077	140	5	t.	t.	PROPN
ap-2077	140	6	gohberg	gohberg	PROPN
ap-2077	140	7	,	,	PUNCT
ap-2077	140	8	m.	m.	NOUN
ap-2077	140	9	g.	g.	PROPN
ap-2077	140	10	krein	krein	PROPN
ap-2077	140	11	.	.	PUNCT
ap-2077	141	1	introduction	introduction	NOUN
ap-2077	141	2	to	to	ADP
ap-2077	141	3	the	the	DET
ap-2077	141	4	theory	theory	NOUN
ap-2077	141	5	of	of	ADP
ap-2077	141	6	linear	linear	PROPN
ap-2077	141	7	nonself	nonself	PROPN
ap-2077	141	8	-	-	PUNCT
ap-2077	141	9	adjoint	adjoint	PROPN
ap-2077	141	10	operators	operator	NOUN
ap-2077	141	11	.	.	PUNCT
ap-2077	142	1	american	american	PROPN
ap-2077	142	2	mathematical	mathematical	PROPN
ap-2077	142	3	society	society	NOUN
ap-2077	142	4	,	,	PUNCT
ap-2077	142	5	1969	1969	NUM
ap-2077	142	6	.	.	PUNCT
ap-2077	143	1	104	104	NUM
ap-2077	143	2	vol	vol	NOUN
ap-2077	143	3	.	.	PUNCT
ap-2077	144	1	54	54	NUM
ap-2077	144	2	no	no	NOUN
ap-2077	144	3	.	.	PUNCT
ap-2077	145	1	2/2014	2/2014	PRON
ap-2077	145	2	semiclassical	semiclassical	ADJ
ap-2077	145	3	asymptotics	asymptotic	NOUN
ap-2077	145	4	of	of	ADP
ap-2077	145	5	eigenvalues	eigenvalue	NOUN
ap-2077	145	6	for	for	ADP
ap-2077	145	7	non	non	ADJ
ap-2077	145	8	-	-	ADJ
ap-2077	145	9	selfadjoint	selfadjoint	ADJ
ap-2077	145	10	operators	operator	NOUN
ap-2077	145	11	[	[	X
ap-2077	145	12	7	7	X
ap-2077	145	13	]	]	PUNCT
ap-2077	145	14	l.	l.	PROPN
ap-2077	145	15	n.	n.	PROPN
ap-2077	145	16	trefethen	trefethen	PROPN
ap-2077	145	17	.	.	PUNCT
ap-2077	146	1	pseudospectra	pseudospectra	PROPN
ap-2077	146	2	of	of	ADP
ap-2077	146	3	linear	linear	PROPN
ap-2077	146	4	operators	operator	NOUN
ap-2077	146	5	.	.	PUNCT
ap-2077	147	1	isiam	isiam	PROPN
ap-2077	147	2	95	95	NUM
ap-2077	147	3	:	:	PUNCT
ap-2077	147	4	proceedings	proceeding	NOUN
ap-2077	147	5	of	of	ADP
ap-2077	147	6	the	the	DET
ap-2077	147	7	third	third	ADJ
ap-2077	147	8	int	int	NOUN
ap-2077	147	9	congress	congress	PROPN
ap-2077	147	10	of	of	ADP
ap-2077	147	11	industrial	industrial	ADJ
ap-2077	147	12	and	and	CCONJ
ap-2077	147	13	applied	apply	VERB
ap-2077	147	14	math	math	NOUN
ap-2077	147	15	pp	pp	NOUN
ap-2077	147	16	.	.	PUNCT
ap-2077	148	1	401–434	401–434	NUM
ap-2077	148	2	,	,	PUNCT
ap-2077	148	3	1996	1996	NUM
ap-2077	148	4	.	.	PUNCT
ap-2077	149	1	[	[	X
ap-2077	149	2	8	8	NUM
ap-2077	149	3	]	]	X
ap-2077	149	4	r.	r.	PROPN
ap-2077	149	5	g.	g.	PROPN
ap-2077	149	6	drazin	drazin	PROPN
ap-2077	149	7	,	,	PUNCT
ap-2077	149	8	w.	w.	PROPN
ap-2077	149	9	h.	h.	PROPN
ap-2077	149	10	reid	reid	PROPN
ap-2077	149	11	.	.	PUNCT
ap-2077	150	1	hydrodynamic	hydrodynamic	ADJ
ap-2077	150	2	stability	stability	NOUN
ap-2077	150	3	.	.	PUNCT
ap-2077	151	1	cambridge	cambridge	PROPN
ap-2077	151	2	,	,	PUNCT
ap-2077	151	3	1981	1981	NUM
ap-2077	151	4	.	.	PUNCT
ap-2077	152	1	[	[	X
ap-2077	152	2	9	9	NUM
ap-2077	152	3	]	]	X
ap-2077	152	4	y.	y.	PROPN
ap-2077	152	5	b.	b.	PROPN
ap-2077	152	6	zel’dovich	zel’dovich	NOUN
ap-2077	152	7	,	,	PUNCT
ap-2077	152	8	a.	a.	NOUN
ap-2077	152	9	a.	a.	NOUN
ap-2077	152	10	ruzmaikin	ruzmaikin	PROPN
ap-2077	152	11	.	.	PUNCT
ap-2077	153	1	the	the	DET
ap-2077	153	2	hydromagnetic	hydromagnetic	ADJ
ap-2077	153	3	dynamo	dynamo	NOUN
ap-2077	153	4	as	as	ADP
ap-2077	153	5	the	the	DET
ap-2077	153	6	source	source	NOUN
ap-2077	153	7	of	of	ADP
ap-2077	153	8	planetary	planetary	ADJ
ap-2077	153	9	,	,	PUNCT
ap-2077	153	10	solar	solar	ADJ
ap-2077	153	11	,	,	PUNCT
ap-2077	153	12	and	and	CCONJ
ap-2077	153	13	galactic	galactic	ADJ
ap-2077	153	14	magnetism	magnetism	NOUN
ap-2077	153	15	.	.	PUNCT
ap-2077	154	1	uspekhi	uspekhi	PROPN
ap-2077	154	2	fiz	fiz	PROPN
ap-2077	154	3	nauk	nauk	VERB
ap-2077	154	4	152(2):263–284	152(2):263–284	PROPN
ap-2077	154	5	,	,	PUNCT
ap-2077	154	6	1987	1987	NUM
ap-2077	154	7	.	.	PUNCT
ap-2077	155	1	[	[	X
ap-2077	155	2	10	10	NUM
ap-2077	155	3	]	]	X
ap-2077	155	4	c.	c.	PROPN
ap-2077	155	5	m.	m.	PROPN
ap-2077	155	6	bender	bender	PROPN
ap-2077	155	7	,	,	PUNCT
ap-2077	155	8	b.	b.	PROPN
ap-2077	155	9	k.	k.	PROPN
ap-2077	155	10	m.	m.	PROPN
ap-2077	155	11	dorje	dorje	PROPN
ap-2077	155	12	c.	c.	PROPN
ap-2077	155	13	brody	brody	PROPN
ap-2077	155	14	,	,	PUNCT
ap-2077	155	15	hugh	hugh	PROPN
ap-2077	155	16	f.	f.	PROPN
ap-2077	155	17	jones	jones	PROPN
ap-2077	155	18	.	.	PUNCT
ap-2077	156	1	faster	fast	ADV
ap-2077	156	2	than	than	ADP
ap-2077	156	3	hermitian	hermitian	ADJ
ap-2077	156	4	quantum	quantum	ADJ
ap-2077	156	5	mechanics	mechanic	NOUN
ap-2077	156	6	.	.	PUNCT
ap-2077	157	1	phys	phy	NOUN
ap-2077	157	2	rev	rev	VERB
ap-2077	157	3	lett	lett	PROPN
ap-2077	157	4	98	98	NUM
ap-2077	157	5	,	,	PUNCT
ap-2077	157	6	2007	2007	NUM
ap-2077	157	7	.	.	PUNCT
ap-2077	158	1	doi	doi	NOUN
ap-2077	158	2	:	:	PUNCT
ap-2077	158	3	10.1103	10.1103	NUM
ap-2077	158	4	/	/	SYM
ap-2077	158	5	physrevlett.98.040403	physrevlett.98.040403	NOUN
ap-2077	158	6	[	[	X
ap-2077	158	7	11	11	NUM
ap-2077	158	8	]	]	PUNCT
ap-2077	158	9	t.	t.	PROPN
ap-2077	158	10	gulden	gulden	PROPN
ap-2077	158	11	,	,	PUNCT
ap-2077	158	12	a.	a.	PROPN
ap-2077	158	13	k.	k.	PROPN
ap-2077	158	14	michael	michael	PROPN
ap-2077	158	15	janas	janas	PROPN
ap-2077	158	16	,	,	PUNCT
ap-2077	158	17	peter	peter	PROPN
ap-2077	158	18	koroteev	koroteev	PROPN
ap-2077	158	19	.	.	PUNCT
ap-2077	159	1	statistical	statistical	ADJ
ap-2077	159	2	mechanics	mechanic	NOUN
ap-2077	159	3	of	of	ADP
ap-2077	159	4	coulomb	coulomb	NOUN
ap-2077	159	5	gases	gas	NOUN
ap-2077	159	6	as	as	ADP
ap-2077	159	7	quantum	quantum	NOUN
ap-2077	159	8	theory	theory	NOUN
ap-2077	159	9	on	on	ADP
ap-2077	159	10	riemann	riemann	PROPN
ap-2077	159	11	surfaces	surface	NOUN
ap-2077	159	12	.	.	PUNCT
ap-2077	160	1	jetp	jetp	PROPN
ap-2077	160	2	144(9	144(9	NUM
ap-2077	160	3	)	)	PUNCT
ap-2077	160	4	,	,	PUNCT
ap-2077	160	5	2013	2013	NUM
ap-2077	160	6	.	.	PUNCT
ap-2077	161	1	doi	doi	NOUN
ap-2077	161	2	:	:	PUNCT
ap-2077	161	3	10.7868	10.7868	NUM
ap-2077	161	4	/	/	SYM
ap-2077	161	5	s0044451013090125	s0044451013090125	PROPN
ap-2077	162	1	[	[	X
ap-2077	162	2	12	12	NUM
ap-2077	162	3	]	]	PUNCT
ap-2077	162	4	s.-a	s.-a	NOUN
ap-2077	162	5	.	.	PUNCT
ap-2077	163	1	stepin	stepin	NOUN
ap-2077	163	2	.	.	PUNCT
ap-2077	164	1	nonself	nonself	PROPN
ap-2077	164	2	-	-	PUNCT
ap-2077	164	3	adjoint	adjoint	PROPN
ap-2077	164	4	singular	singular	PROPN
ap-2077	164	5	perturbations	perturbation	NOUN
ap-2077	164	6	:	:	PUNCT
ap-2077	164	7	a	a	DET
ap-2077	164	8	model	model	NOUN
ap-2077	164	9	of	of	ADP
ap-2077	164	10	the	the	DET
ap-2077	164	11	passage	passage	NOUN
ap-2077	164	12	from	from	ADP
ap-2077	164	13	a	a	DET
ap-2077	164	14	discrete	discrete	ADJ
ap-2077	164	15	spectrum	spectrum	NOUN
ap-2077	164	16	to	to	ADP
ap-2077	164	17	a	a	DET
ap-2077	164	18	continuous	continuous	ADJ
ap-2077	164	19	spectrum	spectrum	NOUN
ap-2077	164	20	.	.	PUNCT
ap-2077	165	1	russ	russ	PROPN
ap-2077	165	2	math	math	PROPN
ap-2077	165	3	surv	surv	PROPN
ap-2077	165	4	50(6):1311–1313	50(6):1311–1313	NUM
ap-2077	165	5	,	,	PUNCT
ap-2077	165	6	1995	1995	NUM
ap-2077	165	7	.	.	PUNCT
ap-2077	166	1	[	[	X
ap-2077	166	2	13	13	NUM
ap-2077	166	3	]	]	PUNCT
ap-2077	166	4	a.	a.	NOUN
ap-2077	166	5	a.	a.	NOUN
ap-2077	166	6	shkalikov	shkalikov	PROPN
ap-2077	166	7	.	.	PUNCT
ap-2077	167	1	on	on	ADP
ap-2077	167	2	the	the	DET
ap-2077	167	3	limit	limit	NOUN
ap-2077	167	4	behavior	behavior	NOUN
ap-2077	167	5	of	of	ADP
ap-2077	167	6	the	the	DET
ap-2077	167	7	spectrum	spectrum	NOUN
ap-2077	167	8	for	for	ADP
ap-2077	167	9	large	large	ADJ
ap-2077	167	10	values	value	NOUN
ap-2077	167	11	of	of	ADP
ap-2077	167	12	the	the	DET
ap-2077	167	13	parameter	parameter	NOUN
ap-2077	167	14	of	of	ADP
ap-2077	167	15	a	a	DET
ap-2077	167	16	model	model	NOUN
ap-2077	167	17	problem	problem	NOUN
ap-2077	167	18	.	.	PUNCT
ap-2077	168	1	math	math	PROPN
ap-2077	168	2	notes	note	VERB
ap-2077	168	3	62(5):796–799	62(5):796–799	PROPN
ap-2077	168	4	,	,	PUNCT
ap-2077	168	5	1997	1997	NUM
ap-2077	168	6	.	.	PUNCT
ap-2077	169	1	doi	doi	NOUN
ap-2077	169	2	:	:	PUNCT
ap-2077	169	3	10.4213	10.4213	NUM
ap-2077	169	4	/	/	SYM
ap-2077	169	5	mzm1688	mzm1688	NOUN
ap-2077	169	6	[	[	X
ap-2077	169	7	14	14	NUM
ap-2077	169	8	]	]	PUNCT
ap-2077	169	9	a.	a.	NOUN
ap-2077	169	10	a.	a.	NOUN
ap-2077	169	11	arzhanov	arzhanov	PROPN
ap-2077	169	12	,	,	PUNCT
ap-2077	169	13	s.	s.	PROPN
ap-2077	169	14	a.	a.	NOUN
ap-2077	169	15	stepin	stepin	NOUN
ap-2077	169	16	.	.	PUNCT
ap-2077	170	1	semiclassical	semiclassical	ADJ
ap-2077	170	2	spectral	spectral	ADJ
ap-2077	170	3	asymptotics	asymptotic	NOUN
ap-2077	170	4	and	and	CCONJ
ap-2077	170	5	the	the	DET
ap-2077	170	6	stokes	stoke	NOUN
ap-2077	170	7	phenomenon	phenomenon	NOUN
ap-2077	170	8	for	for	ADP
ap-2077	170	9	the	the	DET
ap-2077	170	10	weber	weber	PROPN
ap-2077	170	11	equation	equation	NOUN
ap-2077	170	12	.	.	PUNCT
ap-2077	171	1	dokl	dokl	PROPN
ap-2077	171	2	akad	akad	PROPN
ap-2077	171	3	nauk	nauk	PROPN
ap-2077	171	4	378(1):18–21	378(1):18–21	PROPN
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ap-2077	171	6	2001	2001	NUM
ap-2077	171	7	.	.	PUNCT
ap-2077	172	1	[	[	X
ap-2077	172	2	15	15	NUM
ap-2077	172	3	]	]	X
ap-2077	172	4	a.	a.	NOUN
ap-2077	172	5	a.	a.	NOUN
ap-2077	172	6	shkalikov	shkalikov	PROPN
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ap-2077	172	8	s.	s.	PROPN
ap-2077	172	9	n.	n.	PROPN
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ap-2077	173	2	the	the	DET
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ap-2077	173	4	behaviour	behaviour	NOUN
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ap-2077	173	6	the	the	DET
ap-2077	173	7	spectrum	spectrum	NOUN
ap-2077	173	8	of	of	ADP
ap-2077	173	9	a	a	DET
ap-2077	173	10	model	model	NOUN
ap-2077	173	11	problem	problem	NOUN
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ap-2077	173	13	the	the	DET
ap-2077	173	14	orr	orr	PROPN
ap-2077	173	15	–	–	PUNCT
ap-2077	173	16	sommerfeld	sommerfeld	ADJ
ap-2077	173	17	equation	equation	NOUN
ap-2077	173	18	with	with	ADP
ap-2077	173	19	poiseuille	poiseuille	NOUN
ap-2077	173	20	profile	profile	NOUN
ap-2077	173	21	.	.	PUNCT
ap-2077	174	1	izv	izv	PROPN
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ap-2077	174	3	66(4):829–856	66(4):829–856	PROPN
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ap-2077	174	5	2002	2002	NUM
ap-2077	174	6	.	.	PUNCT
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ap-2077	176	1	[	[	X
ap-2077	176	2	16	16	NUM
ap-2077	176	3	]	]	X
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ap-2077	176	8	a.	a.	NOUN
ap-2077	176	9	a.	a.	NOUN
ap-2077	176	10	shkalikov	shkalikov	PROPN
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ap-2077	177	1	on	on	ADP
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ap-2077	177	6	the	the	DET
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ap-2077	177	8	–	–	PUNCT
ap-2077	177	9	sommerfeld	sommerfeld	ADJ
ap-2077	177	10	equation	equation	NOUN
ap-2077	177	11	with	with	ADP
ap-2077	177	12	linear	linear	PROPN
ap-2077	177	13	profile	profile	NOUN
ap-2077	177	14	.	.	PUNCT
ap-2077	178	1	funktsional	funktsional	ADJ
ap-2077	178	2	anal	anal	NOUN
ap-2077	178	3	i	i	PRON
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ap-2077	178	5	36(3):228–232	36(3):228–232	NUM
ap-2077	178	6	,	,	PUNCT
ap-2077	178	7	2002	2002	NUM
ap-2077	178	8	.	.	PUNCT
ap-2077	179	1	doi	doi	NOUN
ap-2077	179	2	:	:	PUNCT
ap-2077	179	3	10.4213	10.4213	NUM
ap-2077	179	4	/	/	SYM
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ap-2077	179	6	[	[	X
ap-2077	179	7	17	17	NUM
ap-2077	179	8	]	]	PUNCT
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ap-2077	179	10	a.	a.	NOUN
ap-2077	179	11	shkalikov	shkalikov	PROPN
ap-2077	179	12	.	.	PUNCT
ap-2077	180	1	spectral	spectral	ADJ
ap-2077	180	2	portraits	portrait	NOUN
ap-2077	180	3	of	of	ADP
ap-2077	180	4	the	the	DET
ap-2077	180	5	orr	orr	PROPN
ap-2077	180	6	–	–	PUNCT
ap-2077	180	7	sommerfeld	sommerfeld	ADJ
ap-2077	180	8	operator	operator	NOUN
ap-2077	180	9	with	with	ADP
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ap-2077	180	12	numbers	number	NOUN
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ap-2077	181	1	j	j	PROPN
ap-2077	181	2	math	math	PROPN
ap-2077	181	3	sci	sci	PROPN
ap-2077	181	4	124(6):5417–5441	124(6):5417–5441	NUM
ap-2077	181	5	,	,	PUNCT
ap-2077	181	6	2004	2004	NUM
ap-2077	181	7	.	.	PUNCT
ap-2077	182	1	doi	doi	NOUN
ap-2077	182	2	:	:	PUNCT
ap-2077	182	3	10.1023	10.1023	NUM
ap-2077	182	4	/	/	SYM
ap-2077	182	5	b	b	NOUN
ap-2077	182	6	:	:	PUNCT
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ap-2077	183	2	18	18	NUM
ap-2077	183	3	]	]	PUNCT
ap-2077	183	4	s.	s.	PROPN
ap-2077	183	5	a.	a.	PROPN
ap-2077	183	6	stepin	stepin	PROPN
ap-2077	183	7	,	,	PUNCT
ap-2077	183	8	v.	v.	ADP
ap-2077	183	9	a.	a.	NOUN
ap-2077	183	10	titov	titov	PROPN
ap-2077	183	11	.	.	PUNCT
ap-2077	184	1	on	on	ADP
ap-2077	184	2	the	the	DET
ap-2077	184	3	concentration	concentration	NOUN
ap-2077	184	4	of	of	ADP
ap-2077	184	5	spectrum	spectrum	NOUN
ap-2077	184	6	in	in	ADP
ap-2077	184	7	the	the	DET
ap-2077	184	8	model	model	NOUN
ap-2077	184	9	problem	problem	NOUN
ap-2077	184	10	of	of	ADP
ap-2077	184	11	singular	singular	ADJ
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ap-2077	184	13	theory	theory	NOUN
ap-2077	184	14	.	.	PUNCT
ap-2077	185	1	dokl	dokl	NOUN
ap-2077	185	2	math	math	PROPN
ap-2077	185	3	75(2):197–200	75(2):197–200	PROPN
ap-2077	185	4	,	,	PUNCT
ap-2077	185	5	2007	2007	NUM
ap-2077	185	6	.	.	PUNCT
ap-2077	186	1	[	[	X
ap-2077	186	2	19	19	NUM
ap-2077	186	3	]	]	X
ap-2077	186	4	v.	v.	PROPN
ap-2077	186	5	i.	i.	PROPN
ap-2077	186	6	pokotilo	pokotilo	PROPN
ap-2077	186	7	,	,	PUNCT
ap-2077	186	8	a.	a.	NOUN
ap-2077	186	9	a.	a.	NOUN
ap-2077	186	10	shkalikov	shkalikov	PROPN
ap-2077	186	11	.	.	PUNCT
ap-2077	187	1	semiclassical	semiclassical	ADJ
ap-2077	187	2	approximation	approximation	NOUN
ap-2077	187	3	for	for	ADP
ap-2077	187	4	a	a	DET
ap-2077	187	5	nonself	nonself	NOUN
ap-2077	187	6	-	-	PUNCT
ap-2077	187	7	adjoint	adjoint	PROPN
ap-2077	187	8	sturm	sturm	PROPN
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ap-2077	187	13	a	a	DET
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ap-2077	187	15	potential	potential	NOUN
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ap-2077	188	1	math	math	NOUN
ap-2077	188	2	notes	note	VERB
ap-2077	188	3	86(3):442–446	86(3):442–446	NOUN
ap-2077	188	4	,	,	PUNCT
ap-2077	188	5	2009	2009	NUM
ap-2077	188	6	.	.	PUNCT
ap-2077	189	1	doi	doi	NOUN
ap-2077	189	2	:	:	PUNCT
ap-2077	189	3	10.4213	10.4213	NUM
ap-2077	189	4	/	/	SYM
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ap-2077	189	6	[	[	NOUN
ap-2077	189	7	20	20	NUM
ap-2077	189	8	]	]	PUNCT
ap-2077	189	9	l.	l.	PROPN
ap-2077	189	10	k.	k.	PROPN
ap-2077	189	11	kusainova	kusainova	PROPN
ap-2077	189	12	,	,	PUNCT
ap-2077	189	13	a.	a.	PROPN
ap-2077	189	14	z.	z.	PROPN
ap-2077	189	15	monashova	monashova	PROPN
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ap-2077	189	17	a.	a.	PROPN
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ap-2077	190	4	eigenvalues	eigenvalue	NOUN
ap-2077	190	5	of	of	ADP
ap-2077	190	6	the	the	DET
ap-2077	190	7	second	second	ADJ
ap-2077	190	8	-	-	PUNCT
ap-2077	190	9	order	order	NOUN
ap-2077	190	10	nonself	nonself	NOUN
ap-2077	190	11	-	-	PUNCT
ap-2077	190	12	adjoint	adjoint	PROPN
ap-2077	190	13	differential	differential	NOUN
ap-2077	190	14	operator	operator	NOUN
ap-2077	190	15	on	on	ADP
ap-2077	190	16	the	the	DET
ap-2077	190	17	axis	axis	NOUN
ap-2077	190	18	.	.	PUNCT
ap-2077	191	1	mat	mat	NOUN
ap-2077	191	2	zametki	zametki	NOUN
ap-2077	191	3	93(4):630–633	93(4):630–633	PROPN
ap-2077	191	4	,	,	PUNCT
ap-2077	191	5	2013	2013	NUM
ap-2077	191	6	.	.	PUNCT
ap-2077	192	1	doi	doi	NOUN
ap-2077	192	2	:	:	PUNCT
ap-2077	192	3	10.4213	10.4213	NUM
ap-2077	192	4	/	/	SYM
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ap-2077	193	1	[	[	X
ap-2077	193	2	21	21	NUM
ap-2077	193	3	]	]	X
ap-2077	193	4	s.	s.	PROPN
ap-2077	193	5	v.	v.	PROPN
ap-2077	193	6	galtsev	galtsev	PROPN
ap-2077	193	7	,	,	PUNCT
ap-2077	193	8	a.	a.	PROPN
ap-2077	193	9	i.	i.	PROPN
ap-2077	193	10	shafarevich	shafarevich	PROPN
ap-2077	193	11	.	.	PUNCT
ap-2077	194	1	spectrum	spectrum	NOUN
ap-2077	194	2	and	and	CCONJ
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ap-2077	194	4	of	of	ADP
ap-2077	194	5	nonself	nonself	PROPN
ap-2077	194	6	-	-	PUNCT
ap-2077	194	7	adjoint	adjoint	NOUN
ap-2077	194	8	schrödinger	schrödinger	ADJ
ap-2077	194	9	operators	operator	NOUN
ap-2077	194	10	with	with	ADP
ap-2077	194	11	periodic	periodic	ADJ
ap-2077	194	12	coefficients	coefficient	NOUN
ap-2077	194	13	.	.	PUNCT
ap-2077	195	1	mat	mat	NOUN
ap-2077	195	2	zametki	zametki	NOUN
ap-2077	195	3	80(3):456–466	80(3):456–466	NOUN
ap-2077	195	4	,	,	PUNCT
ap-2077	195	5	2006	2006	NUM
ap-2077	195	6	.	.	PUNCT
ap-2077	196	1	doi	doi	NOUN
ap-2077	196	2	:	:	PUNCT
ap-2077	196	3	10.4213	10.4213	NUM
ap-2077	196	4	/	/	SYM
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ap-2077	197	1	[	[	X
ap-2077	197	2	22	22	NUM
ap-2077	197	3	]	]	PUNCT
ap-2077	198	1	s.	s.	PROPN
ap-2077	199	1	v.	v.	PROPN
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ap-2077	199	5	i.	i.	PROPN
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ap-2077	200	2	riemann	riemann	PROPN
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ap-2077	200	4	and	and	CCONJ
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ap-2077	200	11	-	-	PUNCT
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ap-2077	200	14	operator	operator	NOUN
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ap-2077	200	16	periodic	periodic	ADJ
ap-2077	200	17	coefficients	coefficient	NOUN
ap-2077	200	18	.	.	PUNCT
ap-2077	201	1	theor	theor	PROPN
ap-2077	201	2	math	math	PROPN
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ap-2077	201	4	148(2):206–226	148(2):206–226	NUM
ap-2077	201	5	,	,	PUNCT
ap-2077	201	6	2006	2006	NUM
ap-2077	201	7	.	.	PUNCT
ap-2077	202	1	doi	doi	NOUN
ap-2077	202	2	:	:	PUNCT
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ap-2077	202	4	/	/	SYM
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ap-2077	203	1	[	[	X
ap-2077	203	2	23	23	NUM
ap-2077	203	3	]	]	PUNCT
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ap-2077	204	2	conditions	condition	NOUN
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ap-2077	204	5	surfaces	surface	NOUN
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ap-2077	204	17	.	.	PUNCT
ap-2077	205	1	mat	mat	NOUN
ap-2077	205	2	zametki	zametki	NOUN
ap-2077	205	3	88(2):209–227	88(2):209–227	NOUN
ap-2077	205	4	,	,	PUNCT
ap-2077	205	5	2010	2010	NUM
ap-2077	205	6	.	.	PUNCT
ap-2077	206	1	doi	doi	NOUN
ap-2077	206	2	:	:	PUNCT
ap-2077	206	3	10.4213	10.4213	NUM
ap-2077	206	4	/	/	SYM
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ap-2077	207	1	[	[	X
ap-2077	207	2	24	24	NUM
ap-2077	207	3	]	]	PUNCT
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ap-2077	208	4	spectrum	spectrum	NOUN
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ap-2077	208	6	the	the	DET
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ap-2077	208	8	of	of	ADP
ap-2077	208	9	the	the	DET
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ap-2077	208	11	of	of	ADP
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ap-2077	208	20	surface	surface	NOUN
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ap-2077	208	22	revolution	revolution	NOUN
ap-2077	208	23	.	.	PUNCT
ap-2077	209	1	mat	mat	NOUN
ap-2077	209	2	zametki	zametki	NOUN
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ap-2077	209	6	)	)	PUNCT
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ap-2077	209	8	.	.	PUNCT
ap-2077	210	1	doi	doi	NOUN
ap-2077	210	2	:	:	PUNCT
ap-2077	210	3	10.4213	10.4213	NUM
ap-2077	210	4	/	/	SYM
ap-2077	210	5	mzm10424	mzm10424	NOUN
ap-2077	211	1	[	[	X
ap-2077	211	2	25	25	NUM
ap-2077	211	3	]	]	PUNCT
ap-2077	211	4	a.	a.	NOUN
ap-2077	211	5	i.	i.	PROPN
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ap-2077	211	9	i.	i.	PROPN
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ap-2077	212	3	bohr	bohr	PROPN
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ap-2077	212	6	–	–	PUNCT
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ap-2077	212	11	riemann	riemann	PROPN
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ap-2077	212	13	and	and	CCONJ
ap-2077	212	14	spectral	spectral	ADJ
ap-2077	212	15	series	series	NOUN
ap-2077	212	16	of	of	ADP
ap-2077	212	17	nonself	nonself	PROPN
ap-2077	212	18	-	-	PUNCT
ap-2077	212	19	adjoint	adjoint	PROPN
ap-2077	212	20	operators	operator	NOUN
ap-2077	212	21	.	.	PUNCT
ap-2077	213	1	russian	russian	ADJ
ap-2077	213	2	journal	journal	PROPN
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ap-2077	213	5	physics	physics	PROPN
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ap-2077	213	7	,	,	PUNCT
ap-2077	213	8	2013	2013	NUM
ap-2077	213	9	.	.	PUNCT
ap-2077	214	1	doi	doi	NOUN
ap-2077	214	2	:	:	PUNCT
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ap-2077	215	7	shafarevich	shafarevich	NOUN
ap-2077	215	8	.	.	PUNCT
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ap-2077	216	2	asymptotics	asymptotic	NOUN
ap-2077	216	3	of	of	ADP
ap-2077	216	4	the	the	DET
ap-2077	216	5	spectrum	spectrum	NOUN
ap-2077	216	6	of	of	ADP
ap-2077	216	7	a	a	DET
ap-2077	216	8	nonself	nonself	NOUN
ap-2077	216	9	-	-	PUNCT
ap-2077	216	10	adjoint	adjoint	NOUN
ap-2077	216	11	operator	operator	NOUN
ap-2077	216	12	on	on	ADP
ap-2077	216	13	the	the	DET
ap-2077	216	14	sphere	sphere	NOUN
ap-2077	216	15	.	.	PUNCT
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ap-2077	217	2	j	j	PROPN
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ap-2077	217	6	,	,	PUNCT
ap-2077	217	7	2009	2009	NUM
ap-2077	217	8	.	.	PUNCT
ap-2077	218	1	doi	doi	NOUN
ap-2077	218	2	:	:	PUNCT
ap-2077	218	3	10.1134	10.1134	NUM
ap-2077	218	4	/	/	SYM
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ap-2077	218	6	[	[	X
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ap-2077	218	12	a.	a.	PROPN
ap-2077	218	13	i.	i.	PROPN
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ap-2077	219	1	semiclassical	semiclassical	ADJ
ap-2077	219	2	asymptotic	asymptotic	ADJ
ap-2077	219	3	behavior	behavior	NOUN
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ap-2077	219	5	the	the	DET
ap-2077	219	6	spectrum	spectrum	NOUN
ap-2077	219	7	of	of	ADP
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ap-2077	219	10	-	-	PUNCT
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ap-2077	219	12	elliptic	elliptic	ADJ
ap-2077	219	13	operator	operator	NOUN
ap-2077	219	14	on	on	ADP
ap-2077	219	15	a	a	DET
ap-2077	219	16	two	two	NUM
ap-2077	219	17	-	-	PUNCT
ap-2077	219	18	dimensional	dimensional	ADJ
ap-2077	219	19	surface	surface	NOUN
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ap-2077	219	21	revolution	revolution	NOUN
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ap-2077	220	1	russ	russ	PROPN
ap-2077	220	2	j	j	PROPN
ap-2077	220	3	math	math	PROPN
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ap-2077	220	6	,	,	PUNCT
ap-2077	220	7	2010	2010	NUM
ap-2077	220	8	.	.	PUNCT
ap-2077	221	1	doi	doi	NOUN
ap-2077	221	2	:	:	PUNCT
ap-2077	221	3	10.1134	10.1134	NUM
ap-2077	221	4	/	/	SYM
ap-2077	221	5	s1061920810030064	s1061920810030064	PROPN
ap-2077	221	6	105	105	NUM
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ap-2077	221	8	http://dx.doi.org/10.7868/s0044451013090125	http://dx.doi.org/10.7868/s0044451013090125	PRON
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ap-2077	221	12	http://dx.doi.org/10.1023/b:joth.0000047362.09147.c7	http://dx.doi.org/10.1023/b:joth.0000047362.09147.c7	PROPN
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ap-2077	221	14	http://dx.doi.org/10.4213/mzm10173	http://dx.doi.org/10.4213/mzm10173	NOUN
ap-2077	221	15	http://dx.doi.org/10.4213/mzm2821	http://dx.doi.org/10.4213/mzm2821	ADP
ap-2077	221	16	http://dx.doi.org/10.4213/tmf2081	http://dx.doi.org/10.4213/tmf2081	ADP
ap-2077	221	17	http://dx.doi.org/10.4213/mzm8803	http://dx.doi.org/10.4213/mzm8803	PRON
ap-2077	221	18	http://dx.doi.org/10.4213/mzm10424	http://dx.doi.org/10.4213/mzm10424	INTJ
ap-2077	222	1	http://dx.doi.org/10.1134/s1061920813020052	http://dx.doi.org/10.1134/s1061920813020052	INTJ
ap-2077	223	1	http://dx.doi.org/10.1134/s1061920809020150	http://dx.doi.org/10.1134/s1061920809020150	PROPN
ap-2077	223	2	http://dx.doi.org/10.1134/s1061920810030064	http://dx.doi.org/10.1134/s1061920810030064	PROPN
ap-2077	223	3	acta	acta	PROPN
ap-2077	223	4	polytechnica	polytechnica	PROPN
ap-2077	223	5	54(2):101–105	54(2):101–105	PROPN
ap-2077	223	6	,	,	PUNCT
ap-2077	223	7	2014	2014	NUM
ap-2077	223	8	1	1	NUM
ap-2077	223	9	introduction	introduction	NOUN
ap-2077	223	10	2	2	NUM
ap-2077	223	11	schrödinger	schrödinger	ADJ
ap-2077	223	12	equation	equation	NOUN
ap-2077	223	13	with	with	ADP
ap-2077	223	14	a	a	DET
ap-2077	223	15	complex	complex	ADJ
ap-2077	223	16	potential	potential	ADJ
ap-2077	223	17	3	3	NUM
ap-2077	223	18	equation	equation	NOUN
ap-2077	223	19	of	of	ADP
ap-2077	223	20	magnetic	magnetic	ADJ
ap-2077	223	21	induction	induction	NOUN
ap-2077	223	22	3.1	3.1	NUM
ap-2077	223	23	torus	torus	NOUN
ap-2077	223	24	3.2	3.2	NUM
ap-2077	223	25	sphere	sphere	NOUN
ap-2077	223	26	4	4	NUM
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ap-2077	223	28	acknowledgements	acknowledgement	NOUN
ap-2077	223	29	references	reference	NOUN