id	sid	eid	entity	type
ap-1851	1	1	acta polytechnica doi:10.14311	PERSON
ap-1851	1	2	53(5):416–426	CARDINAL
ap-1851	1	3	2013	DATE
ap-1851	1	4	czech technical university	ORG
ap-1851	1	5	prague	GPE
ap-1851	1	6	2013	DATE
ap-1851	1	7	http://ojs.cvut.cz/ojs/index.php/ap	PRODUCT
ap-1851	1	8	manifolds	ORG
ap-1851	1	9	pavel exnera	PERSON
ap-1851	1	10	b,∗	GPE
ap-1851	1	11	jiří lipovskýc	PERSON
ap-1851	1	12	czech technical university	ORG
ap-1851	1	13	prague	GPE
ap-1851	1	14	czechia b department of theoretical physics	ORG
ap-1851	1	15	25068	DATE
ap-1851	1	16	prague	GPE
ap-1851	1	17	czechia c department of physics	ORG
ap-1851	1	18	hradec králové	PERSON
ap-1851	1	19	62	DATE
ap-1851	1	20	50003	DATE
ap-1851	1	21	∗	CARDINAL
ap-1851	2	1	three	CARDINAL
ap-1851	8	1	manifolds	ORG
ap-1851	8	2	quantum	ORG
ap-1851	9	1	21 february 2013	DATE
ap-1851	10	1	17 april 2013	DATE
ap-1851	11	1	1	CARDINAL
ap-1851	11	2	quantum	ORG
ap-1851	11	3	topologically nontrivial	ORG
ap-1851	12	1	6	CARDINAL
ap-1851	12	2	14	CARDINAL
ap-1851	13	1	19	CARDINAL
ap-1851	14	1	one	CARDINAL
ap-1851	14	2	riemannian manifolds	ORG
ap-1851	14	3	two	CARDINAL
ap-1851	14	4	three	CARDINAL
ap-1851	15	1	one	CARDINAL
ap-1851	16	1	7	CARDINAL
ap-1851	16	2	8	DATE
ap-1851	16	3	18	DATE
ap-1851	16	4	20	DATE
ap-1851	16	5	25	CARDINAL
ap-1851	17	1	second	ORDINAL
ap-1851	18	1	manifolds	ORG
ap-1851	19	1	two	CARDINAL
ap-1851	20	1	first	ORDINAL
ap-1851	20	2	term1	PERSON
ap-1851	21	1	two	CARDINAL
ap-1851	22	1	two	CARDINAL
ap-1851	22	2	third	ORDINAL
ap-1851	22	3	one	CARDINAL
ap-1851	22	4	two	CARDINAL
ap-1851	22	5	27	CARDINAL
ap-1851	23	1	first	ORDINAL
ap-1851	23	2	two	CARDINAL
ap-1851	24	1	15	CARDINAL
ap-1851	24	2	16	CARDINAL
ap-1851	25	1	1investigations	CARDINAL
ap-1851	26	1	3	CARDINAL
ap-1851	26	2	13	CARDINAL
ap-1851	27	1	12	CARDINAL
ap-1851	28	1	416	CARDINAL
ap-1851	29	1	53	CARDINAL
ap-1851	30	1	5/2013	CARDINAL
ap-1851	33	1	30	CARDINAL
ap-1851	33	2	24	CARDINAL
ap-1851	35	1	zeros	CARDINAL
ap-1851	37	1	10	CARDINAL
ap-1851	39	1	one	CARDINAL
ap-1851	41	1	third	ORDINAL
ap-1851	43	1	17	CARDINAL
ap-1851	44	1	manifolds	ORG
ap-1851	45	1	2.	CARDINAL
ap-1851	45	2	first	ORDINAL
ap-1851	45	3	7	CARDINAL
ap-1851	45	4	8	DATE
ap-1851	45	5	18	CARDINAL
ap-1851	46	1	1	CARDINAL
ap-1851	46	2	ω ∈ rn	ORG
ap-1851	46	3	2	CARDINAL
ap-1851	46	4	3	DATE
ap-1851	48	1	ω	ORG
ap-1851	48	2	nj	ORG
ap-1851	48	3	xj	PERSON
ap-1851	48	4	j = 1	PERSON
ap-1851	50	1	1	CARDINAL
ap-1851	52	1	γ	GPE
ap-1851	53	1	m⊕	PERSON
ap-1851	53	2	i=1 l2(r(i	PERSON
ap-1851	55	1	operator2 −g−1/2∂r(g1/2grs∂s	PERSON
ap-1851	55	2	ω	ORG
ap-1851	55	3	neumann/robin	ORG
ap-1851	55	4	0	CARDINAL
ap-1851	56	1	0	CARDINAL
ap-1851	57	1	w 2,2(ω	PRODUCT
ap-1851	57	2	f(x	ORG
ap-1851	57	3	∈ ω	ORG
ap-1851	58	1	1	CARDINAL
ap-1851	61	1	7	CARDINAL
ap-1851	61	2	8	CARDINAL
ap-1851	62	1	first	ORDINAL
ap-1851	63	1	1	CARDINAL
ap-1851	63	2	1	CARDINAL
ap-1851	65	1	n+m	DATE
ap-1851	65	2	n+m	DATE
ap-1851	66	1	2as	ORG
ap-1851	67	1	417	CARDINAL
ap-1851	67	2	j. lipovský acta polytechnica	ORG
ap-1851	67	3	8	CARDINAL
ap-1851	68	1	23	CARDINAL
ap-1851	68	2	22	CARDINAL
ap-1851	69	1	u −	ORG
ap-1851	70	1	1	CARDINAL
ap-1851	74	1	ψ′	LOC
ap-1851	79	1	first	ORDINAL
ap-1851	79	2	f(x	ORG
ap-1851	79	3	xj	GPE
ap-1851	79	4	fi(0	ORG
ap-1851	79	5	first	ORDINAL
ap-1851	80	1	lemma 4	ORG
ap-1851	80	2	8	CARDINAL
ap-1851	80	3	xj	GPE
ap-1851	81	1	cj(f)f0(x	WORK_OF_ART
ap-1851	81	2	xj	PERSON
ap-1851	82	1	xj	GPE
ap-1851	82	2	− q2(x	PERSON
ap-1851	82	3	xj	ORG
ap-1851	82	4	2π	CARDINAL
ap-1851	82	5	r(x	GPE
ap-1851	82	6	xj	GPE
ap-1851	82	7	2 q3(x	DATE
ap-1851	82	8	xj	ORG
ap-1851	82	9	4π	CARDINAL
ap-1851	82	10	r(x	GPE
ap-1851	82	11	xj	GPE
ap-1851	82	12	−1	DATE
ap-1851	82	13	3	CARDINAL
ap-1851	82	14	2	CARDINAL
ap-1851	82	15	r(x	GPE
ap-1851	82	16	xj	GPE
ap-1851	82	17	xj	ORG
ap-1851	83	1	xj	GPE
ap-1851	83	2	g(x	FAC
ap-1851	83	3	xj ; k	PERSON
ap-1851	83	4	xj	ORG
ap-1851	83	5	+ f1(x	GPE
ap-1851	83	6	xj	GPE
ap-1851	84	1	xj	GPE
ap-1851	84	2	r(x	GPE
ap-1851	84	3	xj	GPE
ap-1851	85	1	o	DATE
ap-1851	85	2	r(x	GPE
ap-1851	85	3	xj	GPE
ap-1851	86	1	1	CARDINAL
ap-1851	88	1	1 one	CARDINAL
ap-1851	88	2	one	CARDINAL
ap-1851	90	1	xj	ORG
ap-1851	91	1	1	CARDINAL
ap-1851	91	2	sub)columns	ORG
ap-1851	92	1	16	CARDINAL
ap-1851	93	1	0	CARDINAL
ap-1851	93	2	3	CARDINAL
ap-1851	93	3	−	PERSON
ap-1851	93	4	1− k)u2j	TIME
ap-1851	93	5	1− k)u4j −	EVENT
ap-1851	93	6	the first row	DATE
ap-1851	93	7	first	ORDINAL
ap-1851	93	8	nj	ORG
ap-1851	94	1	schur	ORG
ap-1851	95	1	3	CARDINAL
ap-1851	96	1	27	CARDINAL
ap-1851	98	1	jth	PRODUCT
ap-1851	98	2	aj(k)e−ikx +	ORG
ap-1851	99	1	aj	GPE
ap-1851	100	1	26	CARDINAL
ap-1851	100	2	29	CARDINAL
ap-1851	101	1	two	CARDINAL
ap-1851	101	2	3.1	CARDINAL
ap-1851	102	1	s(k)−1	ORG
ap-1851	105	1	f(−k0	ORG
ap-1851	107	1	second	ORDINAL
ap-1851	108	1	3.2	CARDINAL
ap-1851	109	1	ω	ORG
ap-1851	110	1	k)−1	ORG
ap-1851	111	1	418	CARDINAL
ap-1851	112	1	53	CARDINAL
ap-1851	113	1	5/2013	CARDINAL
ap-1851	113	2	k ∈	ORG
ap-1851	113	3	k.	PERSON
ap-1851	115	1	aguilar	GPE
ap-1851	115	2	combes	PERSON
ap-1851	115	3	simon	PERSON
ap-1851	116	1	2	CARDINAL
ap-1851	116	2	5	DATE
ap-1851	116	3	28	CARDINAL
ap-1851	116	4	11	CARDINAL
ap-1851	116	5	15	DATE
ap-1851	116	6	16	CARDINAL
ap-1851	118	1	hamiltonian	NORP
ap-1851	121	1	first	ORDINAL
ap-1851	122	1	3.3	CARDINAL
ap-1851	123	1	ω	ORG
ap-1851	123	2	k	PERSON
ap-1851	123	3	6∈	CARDINAL
ap-1851	123	4	f(x	LOC
ap-1851	124	1	xj ; k	PERSON
ap-1851	126	1	2.2	CARDINAL
ap-1851	126	2	25	CARDINAL
ap-1851	126	3	2	CARDINAL
ap-1851	128	1	one	CARDINAL
ap-1851	129	1	xj	ORG
ap-1851	129	2	k)}nj=1	NORP
ap-1851	129	3	f(x, k	WORK_OF_ART
ap-1851	130	1	xj	ORG
ap-1851	132	1	6=	CARDINAL
ap-1851	132	2	6∈	CARDINAL
ap-1851	132	3	0	CARDINAL
ap-1851	132	4	3.4	CARDINAL
ap-1851	133	1	k0	ORG
ap-1851	134	1	6∈	CARDINAL
ap-1851	134	2	k0	ORG
ap-1851	135	1	algebraic multiplicities	PERSON
ap-1851	137	1	first	ORDINAL
ap-1851	139	1	6∈	CARDINAL
ap-1851	139	2	1	CARDINAL
ap-1851	144	1	0	DATE
ap-1851	144	2	4	CARDINAL
ap-1851	145	1	4	CARDINAL
ap-1851	146	1	6∈	CARDINAL
ap-1851	146	2	ω	ORG
ap-1851	147	1	4	CARDINAL
ap-1851	148	1	ã(k0)a +	PRODUCT
ap-1851	148	2	0	CARDINAL
ap-1851	148	3	5	CARDINAL
ap-1851	149	1	det ã(k0	PERSON
ap-1851	149	2	0	CARDINAL
ap-1851	149	3	0	CARDINAL
ap-1851	149	4	k0	ORG
ap-1851	151	1	0	CARDINAL
ap-1851	152	1	second	ORDINAL
ap-1851	153	1	k0	ORG
ap-1851	153	2	k = k0	PERSON
ap-1851	154	1	419	CARDINAL
ap-1851	154	2	j. lipovský acta polytechnica	ORG
ap-1851	154	3	5	CARDINAL
ap-1851	154	4	0	CARDINAL
ap-1851	155	1	0	CARDINAL
ap-1851	156	1	3.5	CARDINAL
ap-1851	157	1	1	CARDINAL
ap-1851	158	1	1	CARDINAL
ap-1851	158	2	zero	CARDINAL
ap-1851	162	1	2	CARDINAL
ap-1851	163	1	1	CARDINAL
ap-1851	163	2	ω	GPE
ap-1851	163	3	k0	ORG
ap-1851	164	1	3	CARDINAL
ap-1851	164	2	ω	ORG
ap-1851	164	3	3.3	CARDINAL
ap-1851	165	1	two	CARDINAL
ap-1851	166	1	4	CARDINAL
ap-1851	167	1	3.3	CARDINAL
ap-1851	168	1	k	PERSON
ap-1851	168	2	h ′ as a	DATE
ap-1851	168	3	ω	CARDINAL
ap-1851	169	1	6∈	CARDINAL
ap-1851	169	2	f(x, k	FAC
ap-1851	170	1	xj ; k	PERSON
ap-1851	171	1	6	CARDINAL
ap-1851	172	1	xj	GPE
ap-1851	173	1	r(x	WORK_OF_ART
ap-1851	173	2	1	CARDINAL
ap-1851	173	3	3	CARDINAL
ap-1851	178	1	xj	GPE
ap-1851	178	2	6=	CARDINAL
ap-1851	178	3	d(f	PERSON
ap-1851	178	4	3	CARDINAL
ap-1851	181	1	0	CARDINAL
ap-1851	182	1	6	CARDINAL
ap-1851	183	1	0	CARDINAL
ap-1851	183	2	6	CARDINAL
ap-1851	186	1	zeros	CARDINAL
ap-1851	186	2	meromorphic	CARDINAL
ap-1851	187	1	4.1	CARDINAL
ap-1851	188	1	zero	CARDINAL
ap-1851	191	1	zeros	CARDINAL
ap-1851	191	2	by∫ cr	ORG
ap-1851	191	3	g(z	PERSON
ap-1851	191	4	2π	CARDINAL
ap-1851	191	5	0	CARDINAL
ap-1851	191	6	2π	CARDINAL
ap-1851	194	1	zero	CARDINAL
ap-1851	194	2	g(z	PERSON
ap-1851	196	1	zero	CARDINAL
ap-1851	197	1	g(z	PERSON
ap-1851	199	1	resz0	ORG
ap-1851	199	2	g(z	PERSON
ap-1851	199	3	1	CARDINAL
ap-1851	199	4	1	CARDINAL
ap-1851	200	1	lim z→z0	PERSON
ap-1851	200	2	ds−1 dzs−1	ORG
ap-1851	200	3	g(z	PERSON
ap-1851	201	1	s. consequently	PERSON
ap-1851	201	2	zero	CARDINAL
ap-1851	201	3	g	PERSON
ap-1851	203	1	420	CARDINAL
ap-1851	204	1	53	CARDINAL
ap-1851	205	1	5/2013	CARDINAL
ap-1851	205	2	4.1	CARDINAL
ap-1851	206	1	manifolds	ORG
ap-1851	207	1	x0	PERSON
ap-1851	207	2	x0	ORG
ap-1851	208	1	6	CARDINAL
ap-1851	208	2	1	CARDINAL
ap-1851	209	1	+ 1	DATE
ap-1851	209	2	0	CARDINAL
ap-1851	211	1	1	CARDINAL
ap-1851	211	2	ω	ORG
ap-1851	211	3	hamiltonian	NORP
ap-1851	212	1	0	CARDINAL
ap-1851	212	2	3	CARDINAL
ap-1851	215	1	zeros	CARDINAL
ap-1851	215	2	f1	PERSON
ap-1851	217	1	4.2	CARDINAL
ap-1851	218	1	1	CARDINAL
ap-1851	219	1	2	CARDINAL
ap-1851	219	2	1 2π	CARDINAL
ap-1851	221	1	0	CARDINAL
ap-1851	221	2	2	CARDINAL
ap-1851	221	3	3	CARDINAL
ap-1851	225	1	0	CARDINAL
ap-1851	225	2	euler	PERSON
ap-1851	227	1	3	CARDINAL
ap-1851	227	2	4	CARDINAL
ap-1851	228	1	+m2	QUANTITY
ap-1851	228	2	33	CARDINAL
ap-1851	228	3	36	CARDINAL
ap-1851	228	4	4	CARDINAL
ap-1851	228	5	3	CARDINAL
ap-1851	229	1	4	CARDINAL
ap-1851	230	1	4.3	CARDINAL
ap-1851	231	1	1	CARDINAL
ap-1851	231	2	± 1	DATE
ap-1851	233	1	0	CARDINAL
ap-1851	235	1	4.4	CARDINAL
ap-1851	236	1	ω	ORG
ap-1851	236	2	ω	CARDINAL
ap-1851	236	3	2	CARDINAL
ap-1851	236	4	1	CARDINAL
ap-1851	239	1	3	CARDINAL
ap-1851	239	2	+ 1	DATE
ap-1851	245	1	1 2	CARDINAL
ap-1851	245	2	ank n	FAC
ap-1851	245	3	1 +	QUANTITY
ap-1851	245	4	j=0	GPE
ap-1851	245	5	between zero	CARDINAL
ap-1851	245	6	2π	CARDINAL
ap-1851	250	1	4.5	CARDINAL
ap-1851	251	1	3	CARDINAL
ap-1851	251	2	one	CARDINAL
ap-1851	251	3	1	CARDINAL
ap-1851	254	1	first	ORDINAL
ap-1851	254	2	f1	PERSON
ap-1851	254	3	1)−1(ũ(k	CARDINAL
ap-1851	254	4	+ 1	DATE
ap-1851	262	1	7	CARDINAL
ap-1851	262	2	7	CARDINAL
ap-1851	263	1	4π	CARDINAL
ap-1851	265	1	u4 = v −1dv	PERSON
ap-1851	265	2	7	CARDINAL
ap-1851	268	1	− u2v	WORK_OF_ART
ap-1851	272	1	−4π	ORG
ap-1851	272	2	k =	ORG
ap-1851	274	1	1−4π 1+	DATE
ap-1851	274	2	0	CARDINAL
ap-1851	275	1	7	CARDINAL
ap-1851	275	2	421	CARDINAL
ap-1851	275	3	j. lipovský acta polytechnica	ORG
ap-1851	275	4	1−4π 1	DATE
ap-1851	277	1	two	CARDINAL
ap-1851	277	2	1−4π 1	DATE
ap-1851	279	1	one	CARDINAL
ap-1851	279	2	1−4π 1+	DATE
ap-1851	279	3	first	ORDINAL
ap-1851	279	4	8π	CARDINAL
ap-1851	280	1	1	CARDINAL
ap-1851	280	2	2v	CARDINAL
ap-1851	280	3	1	CARDINAL
ap-1851	280	4	3v	CARDINAL
ap-1851	280	5	1 +	DATE
ap-1851	281	1	2ε	CARDINAL
ap-1851	281	2	d′ −	PERSON
ap-1851	283	1	1	CARDINAL
ap-1851	283	2	2v	CARDINAL
ap-1851	283	3	1	CARDINAL
ap-1851	283	4	3v	CARDINAL
ap-1851	283	5	first	ORDINAL
ap-1851	284	1	ε−1	ORG
ap-1851	284	2	1 +	CARDINAL
ap-1851	284	3	2	CARDINAL
ap-1851	284	4	1	CARDINAL
ap-1851	284	5	2v	CARDINAL
ap-1851	284	6	1	CARDINAL
ap-1851	284	7	3v	CARDINAL
ap-1851	285	1	2v	CARDINAL
ap-1851	286	1	1	CARDINAL
ap-1851	286	2	3v	CARDINAL
ap-1851	287	1	1−	TIME
ap-1851	287	2	1−4π 1+4π	DATE
ap-1851	287	3	2	CARDINAL
ap-1851	288	1	1−4π 1+4π	DATE
ap-1851	289	1	2v	CARDINAL
ap-1851	289	2	0	CARDINAL
ap-1851	289	3	7	CARDINAL
ap-1851	289	4	− k	PERSON
ap-1851	290	1	1− 4π 1 +	DATE
ap-1851	290	2	1−	TIME
ap-1851	291	1	2	CARDINAL
ap-1851	291	2	1− 4π 1	PERCENT
ap-1851	293	1	−1	DATE
ap-1851	293	2	1	CARDINAL
ap-1851	293	3	2v	CARDINAL
ap-1851	293	4	1	CARDINAL
ap-1851	293	5	3v	CARDINAL
ap-1851	294	1	k →∞	ORG
ap-1851	295	1	two	CARDINAL
ap-1851	295	2	quantum	ORG
ap-1851	295	3	one	CARDINAL
ap-1851	295	4	three	CARDINAL
ap-1851	297	1	two	CARDINAL
ap-1851	297	2	two	CARDINAL
ap-1851	299	1	2	CARDINAL
ap-1851	300	1	1 4.2	CARDINAL
ap-1851	301	1	ω	CARDINAL
ap-1851	301	2	two	CARDINAL
ap-1851	301	3	one	CARDINAL
ap-1851	301	4	two	CARDINAL
ap-1851	302	1	first	ORDINAL
ap-1851	302	2	one	CARDINAL
ap-1851	302	3	two	CARDINAL
ap-1851	302	4	first	ORDINAL
ap-1851	303	1	one	CARDINAL
ap-1851	303	2	one half	CARDINAL
ap-1851	304	1	two	CARDINAL
ap-1851	304	2	4.6	CARDINAL
ap-1851	305	1	1	CARDINAL
ap-1851	305	2	2l	CARDINAL
ap-1851	306	1	2	CARDINAL
ap-1851	307	1	0	CARDINAL
ap-1851	307	2	1	CARDINAL
ap-1851	308	1	1 l ∞∑ n=1 cos	QUANTITY
ap-1851	308	2	2n−1)πx	CARDINAL
ap-1851	308	3	2n−1)πy 2l	CARDINAL
ap-1851	308	4	2n−1)π 2l	CARDINAL
ap-1851	308	5	2	CARDINAL
ap-1851	310	1	1 l ∞∑ n=1 1	QUANTITY
ap-1851	310	2	2n−1)π 2l	CARDINAL
ap-1851	310	3	2	CARDINAL
ap-1851	310	4	1 2k	CARDINAL
ap-1851	310	5	tan kl	PERSON
ap-1851	311	1	±	CARDINAL
ap-1851	312	1	2k	CARDINAL
ap-1851	312	2	1 2k	CARDINAL
ap-1851	312	3	1	CARDINAL
ap-1851	313	1	2	CARDINAL
ap-1851	313	2	kirchhoff conditions	ORG
ap-1851	313	3	10	CARDINAL
ap-1851	313	4	11	CARDINAL
ap-1851	314	1	two	CARDINAL
ap-1851	314	2	two	CARDINAL
ap-1851	315	1	2k	CARDINAL
ap-1851	315	2	3	CARDINAL
ap-1851	315	3	4	CARDINAL
ap-1851	316	1	422	CARDINAL
ap-1851	317	1	53	CARDINAL
ap-1851	318	1	5/2013	CARDINAL
ap-1851	318	2	manifolds	ORG
ap-1851	318	3	3	CARDINAL
ap-1851	318	4	1	CARDINAL
ap-1851	318	5	4	CARDINAL
ap-1851	318	6	2k	CARDINAL
ap-1851	318	7	4.7	CARDINAL
ap-1851	319	1	two	CARDINAL
ap-1851	320	1	one	CARDINAL
ap-1851	320	2	0	CARDINAL
ap-1851	321	1	first	ORDINAL
ap-1851	321	2	second	ORDINAL
ap-1851	322	1	2	CARDINAL
ap-1851	323	1	2	CARDINAL
ap-1851	323	2	1	CARDINAL
ap-1851	324	1	1 2π	CARDINAL
ap-1851	325	1	2 + γ	QUANTITY
ap-1851	325	2	4j0(kr	CARDINAL
ap-1851	326	1	x→∞	DATE
ap-1851	326	2	second	ORDINAL
ap-1851	326	3	1 4	CARDINAL
ap-1851	326	4	4	CARDINAL
ap-1851	327	1	6	CARDINAL
ap-1851	328	1	5	CARDINAL
ap-1851	329	1	4.7	CARDINAL
ap-1851	329	2	6	CARDINAL
ap-1851	329	3	4.7	CARDINAL
ap-1851	329	4	7	CARDINAL
ap-1851	329	5	5	CARDINAL
ap-1851	330	1	eigenfunctions vanishing	ORG
ap-1851	333	1	7	CARDINAL
ap-1851	334	1	423	CARDINAL
ap-1851	334	2	j. lipovský acta polytechnica	ORG
ap-1851	335	1	1	CARDINAL
ap-1851	335	2	9	DATE
ap-1851	337	1	⊗ l2(s1	PERSON
ap-1851	337	2	⊕	GPE
ap-1851	337	3	ḣα	PERSON
ap-1851	337	4	ḣα	PERSON
ap-1851	338	1	2u	CARDINAL
ap-1851	338	2	∂r2 − 1 r ∂u	ORG
ap-1851	341	1	2	CARDINAL
ap-1851	341	2	′′	ORG
ap-1851	343	1	∈	ORG
ap-1851	343	2	f(0	PERSON
ap-1851	345	1	0	CARDINAL
ap-1851	346	1	0	CARDINAL
ap-1851	346	2	1	CARDINAL
ap-1851	348	1	ḣα	WORK_OF_ART
ap-1851	350	1	ḣα	PERSON
ap-1851	350	2	ḣα	PERSON
ap-1851	351	1	−d2φ	DATE
ap-1851	352	1	1/4	CARDINAL
ap-1851	352	2	r2 φ	PERSON
ap-1851	353	1	ḣα	PERSON
ap-1851	354	1	2π	CARDINAL
ap-1851	354	2	2π	CARDINAL
ap-1851	355	1	ϕ)eiϕdϕ	GPE
ap-1851	355	2	√ π limr→0	PERSON
ap-1851	355	3	2π	CARDINAL
ap-1851	356	1	2π	CARDINAL
ap-1851	357	1	√ πr−1+αφ1	DATE
ap-1851	358	1	2π	CARDINAL
ap-1851	358	2	2π	CARDINAL
ap-1851	359	1	2(ψ	CARDINAL
ap-1851	360	1	√ π limr→0	PERSON
ap-1851	360	2	2π	CARDINAL
ap-1851	361	1	2π	CARDINAL
ap-1851	364	1	f(0	PERSON
ap-1851	364	2	2(ψ	CARDINAL
ap-1851	365	1	′(0	NORP
ap-1851	366	1	first	ORDINAL
ap-1851	366	2	two	CARDINAL
ap-1851	366	3	9	CARDINAL
ap-1851	366	4	two	CARDINAL
ap-1851	366	5	−1	DATE
ap-1851	366	6	second	ORDINAL
ap-1851	366	7	two	CARDINAL
ap-1851	366	8	two	CARDINAL
ap-1851	367	1	second	ORDINAL
ap-1851	367	2	0	CARDINAL
ap-1851	367	3	1/2	CARDINAL
ap-1851	368	1	9	CARDINAL
ap-1851	368	2	one	CARDINAL
ap-1851	369	1	2π	CARDINAL
ap-1851	369	2	1/2u2	CARDINAL
ap-1851	370	1	′′	ORG
ap-1851	372	1	2π	CARDINAL
ap-1851	372	2	′′	ORG
ap-1851	373	1	′′	ORG
ap-1851	375	1	2π	CARDINAL
ap-1851	378	1	2π	CARDINAL
ap-1851	378	2	0	CARDINAL
ap-1851	378	3	dr dϕ− f1(0+)f ′2(0+	PERSON
ap-1851	379	1	1	CARDINAL
ap-1851	379	2	2	DATE
ap-1851	379	3	fa	ORG
ap-1851	381	1	= lim r→0	PERSON
ap-1851	381	2	2π	CARDINAL
ap-1851	382	1	− ũ2ũ1	PERSON
ap-1851	384	1	1(ψ)r−1/2 + φ0 2(ψ)r1/2	DATE
ap-1851	384	2	1(ψ)r−1/2	CARDINAL
ap-1851	384	3	2(ψ)r1/2	CARDINAL
ap-1851	385	1	1	CARDINAL
ap-1851	385	2	2	CARDINAL
ap-1851	385	3	1	CARDINAL
ap-1851	387	1	0	CARDINAL
ap-1851	387	2	9	CARDINAL
ap-1851	388	1	1	CARDINAL
ap-1851	388	2	1	CARDINAL
ap-1851	388	3	0 eiρ 	DATE
ap-1851	388	4	10	CARDINAL
ap-1851	388	5	two	CARDINAL
ap-1851	388	6	424	CARDINAL
ap-1851	389	1	53	CARDINAL
ap-1851	390	1	5/2013	CARDINAL
ap-1851	390	2	manifolds kirchhoff’s	ORG
ap-1851	391	1	sin kx+ b cos kx	ORG
ap-1851	395	1	φ2(ψ	ORG
ap-1851	396	1	√ π cos kr	PERSON
ap-1851	397	1	cos kr	PERSON
ap-1851	397	2	f(x	ORG
ap-1851	398	1	6∈	CARDINAL
ap-1851	398	2	6=	DATE
ap-1851	400	1	asymptotics	NORP
ap-1851	401	1	5.1	CARDINAL
ap-1851	402	1	10	CARDINAL
ap-1851	403	1	1 2	CARDINAL
ap-1851	404	1	zero	CARDINAL
ap-1851	405	1	2r(r	PRODUCT
ap-1851	406	1	∂r2 − 1 r ∂r(r	ORG
ap-1851	409	1	zero	CARDINAL
ap-1851	410	1	≈ 1 γ(α+ 1	CARDINAL
ap-1851	410	2	2	CARDINAL
ap-1851	411	1	≈	CARDINAL
ap-1851	412	1	2 x	QUANTITY
ap-1851	412	2	1	CARDINAL
ap-1851	412	3	2π 2π−γ(α	CARDINAL
ap-1851	413	1	2 kr	QUANTITY
ap-1851	414	1	2 k	QUANTITY
ap-1851	414	2	2	CARDINAL
ap-1851	414	3	2π	CARDINAL
ap-1851	414	4	2πa10 1	CARDINAL
ap-1851	414	5	kr 2	PERSON
ap-1851	415	1	1	CARDINAL
ap-1851	417	1	-4 -3 -2	PERSON
ap-1851	417	2	0.05 0.1 0.15 0.2	MONEY
ap-1851	417	3	0.45 0.5	CARDINAL
ap-1851	417	4	8	CARDINAL
ap-1851	418	1	zero	CARDINAL
ap-1851	418	2	1 2	CARDINAL
ap-1851	419	1	1	CARDINAL
ap-1851	419	2	2π	CARDINAL
ap-1851	419	3	1 γ(α	EVENT
ap-1851	419	4	kr 2	ORG
ap-1851	420	1	π γ(α	ORG
ap-1851	420	2	2 k	QUANTITY
ap-1851	420	3	1−α	CARDINAL
ap-1851	421	1	2π	CARDINAL
ap-1851	421	2	2 kr	QUANTITY
ap-1851	423	1	1)√	CARDINAL
ap-1851	423	2	1−α	CARDINAL
ap-1851	425	1	9	CARDINAL
ap-1851	426	1	0	CARDINAL
ap-1851	427	1	1	CARDINAL
ap-1851	427	2	1	CARDINAL
ap-1851	427	3	2 k	QUANTITY
ap-1851	428	1	0	CARDINAL
ap-1851	429	1	0	CARDINAL
ap-1851	429	2	i √	ORG
ap-1851	429	3	1	CARDINAL
ap-1851	430	1	+ k	PERSON
ap-1851	430	2	2 k	QUANTITY
ap-1851	431	1	0	CARDINAL
ap-1851	432	1	1/2	CARDINAL
ap-1851	432	2	i cos kr√	PERSON
ap-1851	432	3	0	CARDINAL
ap-1851	432	4	1/2	CARDINAL
ap-1851	434	1	8	CARDINAL
ap-1851	434	2	one	CARDINAL
ap-1851	434	3	zero	CARDINAL
ap-1851	435	1	0.01	CARDINAL
ap-1851	435	2	0.49	CARDINAL
ap-1851	435	3	1 2	CARDINAL
ap-1851	435	4	425	CARDINAL
ap-1851	435	5	j. lipovský acta polytechnica	ORG
ap-1851	436	1	the czech science foundation within	ORG
ap-1851	437	1	1	CARDINAL
ap-1851	437	2	r. adami	PERSON
ap-1851	437	3	a. teta	PERSON
ap-1851	437	4	lett	PERSON
ap-1851	439	1	43	CARDINAL
ap-1851	439	2	43–54	DATE
ap-1851	439	3	1998	DATE
ap-1851	440	1	2	CARDINAL
ap-1851	440	2	j. aguilar	PERSON
ap-1851	440	3	j.-m	GPE
ap-1851	441	1	combes	PERSON
ap-1851	441	2	one	CARDINAL
ap-1851	443	1	22	CARDINAL
ap-1851	443	2	269–279	CARDINAL
ap-1851	443	3	1971	DATE
ap-1851	444	1	3	CARDINAL
ap-1851	444	2	i.g.	GPE
ap-1851	444	3	one	CARDINAL
ap-1851	445	1	355	CARDINAL
ap-1851	445	2	712–754, 1991	DATE
ap-1851	446	1	4	CARDINAL
ap-1851	446	2	i.g.	GPE
ap-1851	446	3	j. math	ORG
ap-1851	448	1	39	CARDINAL
ap-1851	448	2	2889–2909	CARDINAL
ap-1851	448	3	1998	DATE
ap-1851	449	1	5	CARDINAL
ap-1851	449	2	e. baslev	PERSON
ap-1851	449	3	j.-m	GPE
ap-1851	450	1	combes	PERSON
ap-1851	450	2	commun	PERSON
ap-1851	452	1	22	CARDINAL
ap-1851	452	2	280–294	DATE
ap-1851	452	3	1971	DATE
ap-1851	453	1	6	CARDINAL
ap-1851	453	2	g. berkolaiko	PERSON
ap-1851	453	3	p. kuchment	PERSON
ap-1851	453	4	186	CARDINAL
ap-1851	453	5	r.i.	GPE
ap-1851	453	6	2013	DATE
ap-1851	454	1	7	CARDINAL
ap-1851	454	2	j. brüning	PERSON
ap-1851	454	3	v.a.	PERSON
ap-1851	454	4	geyler	ORG
ap-1851	454	5	manifolds	ORG
ap-1851	454	6	j. phys	ORG
ap-1851	456	1	36	CARDINAL
ap-1851	456	2	2003	DATE
ap-1851	457	1	8	CARDINAL
ap-1851	457	2	j. brüning	PERSON
ap-1851	459	1	44	CARDINAL
ap-1851	459	2	371–405, 2003	DATE
ap-1851	460	1	9	CARDINAL
ap-1851	460	2	l. dabrowski	PERSON
ap-1851	460	3	aharonov-bohm	PERSON
ap-1851	462	1	36	CARDINAL
ap-1851	462	2	1998	DATE
ap-1851	463	1	10	CARDINAL
ap-1851	463	2	j. lipovský	PERSON
ap-1851	463	3	j. phys	ORG
ap-1851	465	1	theor	PERSON
ap-1851	466	1	43, 474013,	DATE
ap-1851	466	2	2010	DATE
ap-1851	467	1	11	CARDINAL
ap-1851	467	2	a. pushnitski	PERSON
ap-1851	467	3	quantum	ORG
ap-1851	468	1	pde 4	ORG
ap-1851	468	2	5	CARDINAL
ap-1851	468	3	729–756, 2011	DATE
ap-1851	469	1	12	CARDINAL
ap-1851	469	2	a. jensen	PERSON
ap-1851	469	3	g. nenciu	PERSON
ap-1851	469	4	j. math	PERSON
ap-1851	471	1	50, 013516	DATE
ap-1851	471	2	2009	DATE
ap-1851	472	1	13	CARDINAL
ap-1851	472	2	feynman integrals	ORG
ap-1851	472	3	1985	DATE
ap-1851	473	1	14	CARDINAL
ap-1851	473	2	j.p. keating	PERSON
ap-1851	473	3	p. kuchment	PERSON
ap-1851	473	4	t. sunada	ORG
ap-1851	473	5	a. teplyaev	PERSON
ap-1851	473	6	the isaac newton institute	ORG
ap-1851	473	7	january 8–june 29, 2007	DATE
ap-1851	473	8	670	CARDINAL
ap-1851	473	9	77	DATE
ap-1851	473	10	r.i.	GPE
ap-1851	473	11	2008	DATE
ap-1851	474	1	15	CARDINAL
ap-1851	474	2	j. lipovský	PERSON
ap-1851	474	3	2006	DATE
ap-1851	475	1	447	CARDINAL
ap-1851	476	1	r.i.	GPE
ap-1851	476	2	2007	DATE
ap-1851	477	1	16	CARDINAL
ap-1851	477	2	j. lipovský	PERSON
ap-1851	477	3	j. phys	ORG
ap-1851	479	1	theor	PERSON
ap-1851	480	1	43, 105301,	DATE
ap-1851	480	2	2010	DATE
ap-1851	481	1	17	CARDINAL
ap-1851	481	2	j. lipovský	PERSON
ap-1851	482	1	lett	PERSON
ap-1851	483	1	375	CARDINAL
ap-1851	483	2	805–807	CARDINAL
ap-1851	483	3	2011	DATE
ap-1851	484	1	18	CARDINAL
ap-1851	484	2	m. tater	PERSON
ap-1851	484	3	j. math	PERSON
ap-1851	486	1	42	CARDINAL
ap-1851	486	2	4050–4078, 2001	DATE
ap-1851	487	1	19	CARDINAL
ap-1851	487	2	j. math	PERSON
ap-1851	489	1	28	CARDINAL
ap-1851	489	2	386–391	CARDINAL
ap-1851	489	3	2254	CARDINAL
ap-1851	489	4	1987	DATE
ap-1851	490	1	20	CARDINAL
ap-1851	491	1	lett	PERSON
ap-1851	492	1	a228	LOC
ap-1851	492	2	146–150, 1997	DATE
ap-1851	493	1	21	CARDINAL
ap-1851	493	2	j. math	PERSON
ap-1851	495	1	43	CARDINAL
ap-1851	495	2	2151–2168, 2002	DATE
ap-1851	496	1	22	CARDINAL
ap-1851	496	2	gorbachuk	PERSON
ap-1851	496	3	m.l.	PERSON
ap-1851	496	4	kluwer	ORG
ap-1851	496	5	dordrecht 1991	ORG
ap-1851	497	1	23	CARDINAL
ap-1851	497	2	m. harmer	PERSON
ap-1851	497	3	j. phys	PERSON
ap-1851	499	1	gen	PERSON
ap-1851	499	2	33	CARDINAL
ap-1851	499	3	9193–9203, 2000	DATE
ap-1851	500	1	24	CARDINAL
ap-1851	500	2	ivrii	PERSON
ap-1851	501	1	second	ORDINAL
ap-1851	501	2	manifolds	ORG
ap-1851	503	1	14	CARDINAL
ap-1851	503	2	3	CARDINAL
ap-1851	503	3	25–34, 1980	DATE
ap-1851	504	1	25	CARDINAL
ap-1851	504	2	a. kiselev	PERSON
ap-1851	504	3	one	CARDINAL
ap-1851	504	4	manifolds	ORG
ap-1851	504	5	j. math	PERSON
ap-1851	506	1	212	CARDINAL
ap-1851	506	2	263–280, 1997	DATE
ap-1851	507	1	26	CARDINAL
ap-1851	507	2	r. schrader	PERSON
ap-1851	507	3	kirchhoff	ORG
ap-1851	507	4	j. phys	PERSON
ap-1851	509	1	gen	PERSON
ap-1851	509	2	32	CARDINAL
ap-1851	509	3	595–630	DATE
ap-1851	509	4	1999	DATE
ap-1851	510	1	27	CARDINAL
ap-1851	510	2	m. reed	PERSON
ap-1851	510	3	b. simon	PERSON
ap-1851	510	4	new york 1979	GPE
ap-1851	511	1	28	CARDINAL
ap-1851	511	2	b. simon	PERSON
ap-1851	511	3	commun	PERSON
ap-1851	513	1	27	CARDINAL
ap-1851	513	2	1–9, 1972	DATE
ap-1851	514	1	29	CARDINAL
ap-1851	514	2	tang	PERSON
ap-1851	514	3	m. zworski	PERSON
ap-1851	516	1	30	CARDINAL
ap-1851	516	2	asymptotische verteilung der eigenwerte	PERSON
ap-1851	516	3	nachrichten von der gesellschaft der	PERSON
ap-1851	516	4	2	CARDINAL
ap-1851	516	5	110–117, 1911	DATE
ap-1851	517	1	426	CARDINAL
ap-1851	517	2	53(5):416–426	CARDINAL
ap-1851	517	3	2013 1	DATE
ap-1851	517	4	2	CARDINAL
ap-1851	517	5	3	CARDINAL
ap-1851	517	6	4	CARDINAL
ap-1851	517	7	4.2	CARDINAL
ap-1851	517	8	5	CARDINAL