id	sid	tid	token	lemma	pos
ap-932	1	1	ap07_2-3.vp	ap07_2-3.vp	VERB
ap-932	1	2	1	1	NUM
ap-932	1	3	introduction	introduction	NOUN
ap-932	1	4	the	the	DET
ap-932	1	5	most	most	ADV
ap-932	1	6	widely	widely	ADV
ap-932	1	7	studied	study	VERB
ap-932	1	8	quantum	quantum	ADJ
ap-932	1	9	mechanical	mechanical	ADJ
ap-932	1	10	potentials	potential	NOUN
ap-932	1	11	are	be	AUX
ap-932	1	12	formulated	formulate	VERB
ap-932	1	13	as	as	ADP
ap-932	1	14	one	one	NUM
ap-932	1	15	-	-	PUNCT
ap-932	1	16	dimensional	dimensional	ADJ
ap-932	1	17	problems	problem	NOUN
ap-932	1	18	.	.	PUNCT
ap-932	2	1	these	these	PRON
ap-932	2	2	include	include	VERB
ap-932	2	3	potentials	potential	NOUN
ap-932	2	4	defined	define	VERB
ap-932	2	5	on	on	ADP
ap-932	2	6	a	a	DET
ap-932	2	7	finite	finite	ADJ
ap-932	2	8	domain	domain	NOUN
ap-932	2	9	(	(	PUNCT
ap-932	2	10	e.g.	e.g.	ADV
ap-932	2	11	the	the	DET
ap-932	2	12	infinite	infinite	ADJ
ap-932	2	13	square	square	ADJ
ap-932	2	14	well	well	NOUN
ap-932	2	15	)	)	PUNCT
ap-932	2	16	or	or	CCONJ
ap-932	2	17	on	on	ADP
ap-932	2	18	the	the	DET
ap-932	2	19	full	full	ADJ
ap-932	2	20	x	x	NOUN
ap-932	2	21	axis	axis	NOUN
ap-932	2	22	(	(	PUNCT
ap-932	2	23	e.g.	e.g.	ADV
ap-932	2	24	the	the	DET
ap-932	2	25	pöschl	pöschl	NOUN
ap-932	2	26	-	-	PUNCT
ap-932	2	27	teller	teller	NOUN
ap-932	2	28	potential	potential	NOUN
ap-932	2	29	)	)	PUNCT
ap-932	2	30	.	.	PUNCT
ap-932	3	1	potentials	potential	NOUN
ap-932	3	2	defined	define	VERB
ap-932	3	3	on	on	ADP
ap-932	3	4	the	the	DET
ap-932	3	5	positive	positive	ADJ
ap-932	3	6	semi	semi	ADJ
ap-932	3	7	-	-	ADJ
ap-932	3	8	axis	axis	ADJ
ap-932	3	9	also	also	ADV
ap-932	3	10	occur	occur	VERB
ap-932	3	11	as	as	ADP
ap-932	3	12	radial	radial	ADJ
ap-932	3	13	problems	problem	NOUN
ap-932	3	14	obtained	obtain	VERB
ap-932	3	15	after	after	ADP
ap-932	3	16	the	the	DET
ap-932	3	17	separation	separation	NOUN
ap-932	3	18	of	of	ADP
ap-932	3	19	the	the	DET
ap-932	3	20	angular	angular	ADJ
ap-932	3	21	variables	variable	NOUN
ap-932	3	22	in	in	ADP
ap-932	3	23	centrally	centrally	ADV
ap-932	3	24	symmetric	symmetric	ADJ
ap-932	3	25	potentials	potential	NOUN
ap-932	3	26	.	.	PUNCT
ap-932	4	1	potentials	potential	NOUN
ap-932	4	2	in	in	ADP
ap-932	4	3	higher	high	ADJ
ap-932	4	4	dimensions	dimension	NOUN
ap-932	4	5	are	be	AUX
ap-932	4	6	less	less	ADV
ap-932	4	7	frequently	frequently	ADV
ap-932	4	8	discussed	discuss	VERB
ap-932	4	9	,	,	PUNCT
ap-932	4	10	and	and	CCONJ
ap-932	4	11	mainly	mainly	ADV
ap-932	4	12	in	in	ADP
ap-932	4	13	cases	case	NOUN
ap-932	4	14	when	when	SCONJ
ap-932	4	15	they	they	PRON
ap-932	4	16	can	can	AUX
ap-932	4	17	be	be	AUX
ap-932	4	18	reduced	reduce	VERB
ap-932	4	19	to	to	ADP
ap-932	4	20	one	one	NUM
ap-932	4	21	-	-	PUNCT
ap-932	4	22	dimensional	dimensional	ADJ
ap-932	4	23	problems	problem	NOUN
ap-932	4	24	by	by	ADP
ap-932	4	25	the	the	DET
ap-932	4	26	separation	separation	NOUN
ap-932	4	27	of	of	ADP
ap-932	4	28	the	the	DET
ap-932	4	29	variables	variable	NOUN
ap-932	4	30	in	in	ADP
ap-932	4	31	some	some	DET
ap-932	4	32	coordinates	coordinate	NOUN
ap-932	4	33	(	(	PUNCT
ap-932	4	34	cartesian	cartesian	ADJ
ap-932	4	35	,	,	PUNCT
ap-932	4	36	polar	polar	ADJ
ap-932	4	37	,	,	PUNCT
ap-932	4	38	etc	etc	X
ap-932	4	39	.	.	X
ap-932	4	40	)	)	PUNCT
ap-932	4	41	.	.	PUNCT
ap-932	5	1	these	these	DET
ap-932	5	2	potentials	potential	NOUN
ap-932	5	3	differ	differ	VERB
ap-932	5	4	from	from	ADP
ap-932	5	5	the	the	DET
ap-932	5	6	one	one	NUM
ap-932	5	7	-	-	PUNCT
ap-932	5	8	dimensional	dimensional	ADJ
ap-932	5	9	ones	one	NOUN
ap-932	5	10	in	in	ADP
ap-932	5	11	several	several	ADJ
ap-932	5	12	respects	respect	NOUN
ap-932	5	13	:	:	PUNCT
ap-932	5	14	their	their	PRON
ap-932	5	15	spectrum	spectrum	NOUN
ap-932	5	16	can	can	AUX
ap-932	5	17	be	be	AUX
ap-932	5	18	richer	rich	ADJ
ap-932	5	19	due	due	ADP
ap-932	5	20	to	to	ADP
ap-932	5	21	the	the	DET
ap-932	5	22	more	more	ADJ
ap-932	5	23	degrees	degree	NOUN
ap-932	5	24	of	of	ADP
ap-932	5	25	freedom	freedom	NOUN
ap-932	5	26	,	,	PUNCT
ap-932	5	27	and	and	CCONJ
ap-932	5	28	this	this	PRON
ap-932	5	29	can	can	AUX
ap-932	5	30	be	be	AUX
ap-932	5	31	manifested	manifest	VERB
ap-932	5	32	in	in	ADP
ap-932	5	33	the	the	DET
ap-932	5	34	occurrence	occurrence	NOUN
ap-932	5	35	of	of	ADP
ap-932	5	36	degeneracies	degeneracy	NOUN
ap-932	5	37	,	,	PUNCT
ap-932	5	38	for	for	ADP
ap-932	5	39	example	example	NOUN
ap-932	5	40	.	.	PUNCT
ap-932	6	1	an	an	DET
ap-932	6	2	interesting	interesting	ADJ
ap-932	6	3	recent	recent	ADJ
ap-932	6	4	development	development	NOUN
ap-932	6	5	in	in	ADP
ap-932	6	6	quantum	quantum	ADJ
ap-932	6	7	mechanics	mechanic	NOUN
ap-932	6	8	was	be	AUX
ap-932	6	9	the	the	DET
ap-932	6	10	introduction	introduction	NOUN
ap-932	6	11	of	of	ADP
ap-932	6	12	�	�	PROPN
ap-932	6	13	�	�	PROPN
ap-932	6	14	symmetry	symmetry	NOUN
ap-932	6	15	[	[	X
ap-932	6	16	1	1	NUM
ap-932	6	17	]	]	PUNCT
ap-932	6	18	.	.	PUNCT
ap-932	7	1	quantum	quantum	NOUN
ap-932	7	2	systems	system	NOUN
ap-932	7	3	with	with	ADP
ap-932	7	4	this	this	DET
ap-932	7	5	symmetry	symmetry	NOUN
ap-932	7	6	are	be	AUX
ap-932	7	7	invariant	invariant	ADJ
ap-932	7	8	under	under	ADP
ap-932	7	9	the	the	DET
ap-932	7	10	simultaneous	simultaneous	ADJ
ap-932	7	11	action	action	NOUN
ap-932	7	12	of	of	ADP
ap-932	7	13	the	the	DET
ap-932	7	14	�	�	PROPN
ap-932	7	15	space	space	NOUN
ap-932	7	16	and	and	CCONJ
ap-932	7	17	�	�	NOUN
ap-932	7	18	time	time	NOUN
ap-932	7	19	inversion	inversion	NOUN
ap-932	7	20	operations	operation	NOUN
ap-932	7	21	,	,	PUNCT
ap-932	7	22	where	where	SCONJ
ap-932	7	23	the	the	DET
ap-932	7	24	latter	latter	ADJ
ap-932	7	25	is	be	AUX
ap-932	7	26	represented	represent	VERB
ap-932	7	27	by	by	ADP
ap-932	7	28	complex	complex	ADJ
ap-932	7	29	conjugation	conjugation	NOUN
ap-932	7	30	.	.	PUNCT
ap-932	8	1	it	it	PRON
ap-932	8	2	has	have	AUX
ap-932	8	3	been	be	AUX
ap-932	8	4	found	find	VERB
ap-932	8	5	that	that	SCONJ
ap-932	8	6	although	although	SCONJ
ap-932	8	7	these	these	DET
ap-932	8	8	�	�	PROPN
ap-932	8	9	�	�	SYM
ap-932	8	10	-symmetric	-symmetric	ADJ
ap-932	8	11	problems	problem	NOUN
ap-932	8	12	are	be	AUX
ap-932	8	13	manifestly	manifestly	ADV
ap-932	8	14	non	non	ADJ
ap-932	8	15	-	-	ADJ
ap-932	8	16	hermitian	hermitian	ADJ
ap-932	8	17	,	,	PUNCT
ap-932	8	18	as	as	SCONJ
ap-932	8	19	they	they	PRON
ap-932	8	20	possess	possess	VERB
ap-932	8	21	an	an	DET
ap-932	8	22	imaginary	imaginary	ADJ
ap-932	8	23	potential	potential	ADJ
ap-932	8	24	component	component	NOUN
ap-932	8	25	too	too	ADV
ap-932	8	26	,	,	PUNCT
ap-932	8	27	they	they	PRON
ap-932	8	28	have	have	VERB
ap-932	8	29	several	several	ADJ
ap-932	8	30	features	feature	NOUN
ap-932	8	31	in	in	ADP
ap-932	8	32	common	common	ADJ
ap-932	8	33	with	with	ADP
ap-932	8	34	traditional	traditional	ADJ
ap-932	8	35	self	self	NOUN
ap-932	8	36	-	-	PUNCT
ap-932	8	37	adjoint	adjoint	NOUN
ap-932	8	38	systems	system	NOUN
ap-932	8	39	.	.	PUNCT
ap-932	9	1	the	the	DET
ap-932	9	2	most	most	ADV
ap-932	9	3	striking	striking	ADJ
ap-932	9	4	of	of	ADP
ap-932	9	5	these	these	PRON
ap-932	9	6	is	be	AUX
ap-932	9	7	the	the	DET
ap-932	9	8	presence	presence	NOUN
ap-932	9	9	of	of	ADP
ap-932	9	10	real	real	ADJ
ap-932	9	11	energy	energy	NOUN
ap-932	9	12	eigenvalues	eigenvalue	NOUN
ap-932	9	13	in	in	ADP
ap-932	9	14	the	the	DET
ap-932	9	15	spectrum	spectrum	NOUN
ap-932	9	16	,	,	PUNCT
ap-932	9	17	but	but	CCONJ
ap-932	9	18	the	the	DET
ap-932	9	19	orthogonality	orthogonality	NOUN
ap-932	9	20	of	of	ADP
ap-932	9	21	the	the	DET
ap-932	9	22	energy	energy	NOUN
ap-932	9	23	eigenstates	eigenstate	NOUN
ap-932	9	24	and	and	CCONJ
ap-932	9	25	the	the	DET
ap-932	9	26	time	time	NOUN
ap-932	9	27	-	-	PUNCT
ap-932	9	28	independence	independence	NOUN
ap-932	9	29	of	of	ADP
ap-932	9	30	their	their	PRON
ap-932	9	31	norm	norm	NOUN
ap-932	9	32	is	be	AUX
ap-932	9	33	also	also	ADV
ap-932	9	34	non	non	ADJ
ap-932	9	35	-	-	ADJ
ap-932	9	36	typical	typical	ADJ
ap-932	9	37	for	for	ADP
ap-932	9	38	complex	complex	ADJ
ap-932	9	39	potentials	potential	NOUN
ap-932	9	40	.	.	PUNCT
ap-932	10	1	there	there	PRON
ap-932	10	2	are	be	VERB
ap-932	10	3	,	,	PUNCT
ap-932	10	4	however	however	ADV
ap-932	10	5	,	,	PUNCT
ap-932	10	6	important	important	ADJ
ap-932	10	7	differences	difference	NOUN
ap-932	10	8	too	too	ADV
ap-932	10	9	,	,	PUNCT
ap-932	10	10	with	with	ADP
ap-932	10	11	respect	respect	NOUN
ap-932	10	12	to	to	ADP
ap-932	10	13	conventional	conventional	ADJ
ap-932	10	14	problems	problem	NOUN
ap-932	10	15	.	.	PUNCT
ap-932	11	1	the	the	DET
ap-932	11	2	energy	energy	NOUN
ap-932	11	3	spectrum	spectrum	NOUN
ap-932	11	4	can	can	AUX
ap-932	11	5	turn	turn	VERB
ap-932	11	6	into	into	ADP
ap-932	11	7	complex	complex	ADJ
ap-932	11	8	conjugate	conjugate	ADJ
ap-932	11	9	pairs	pair	NOUN
ap-932	11	10	as	as	ADP
ap-932	11	11	the	the	DET
ap-932	11	12	non	non	ADJ
ap-932	11	13	-	-	ADJ
ap-932	11	14	hermiticity	hermiticity	ADJ
ap-932	11	15	increases	increase	NOUN
ap-932	11	16	,	,	PUNCT
ap-932	11	17	and	and	CCONJ
ap-932	11	18	this	this	PRON
ap-932	11	19	can	can	AUX
ap-932	11	20	be	be	AUX
ap-932	11	21	interpreted	interpret	VERB
ap-932	11	22	as	as	ADP
ap-932	11	23	the	the	DET
ap-932	11	24	spontaneous	spontaneous	ADJ
ap-932	11	25	breakdown	breakdown	NOUN
ap-932	11	26	of	of	ADP
ap-932	11	27	�	�	PROPN
ap-932	11	28	�	�	PROPN
ap-932	11	29	symmetry	symmetry	NOUN
ap-932	11	30	in	in	ADP
ap-932	11	31	that	that	SCONJ
ap-932	11	32	the	the	DET
ap-932	11	33	energy	energy	NOUN
ap-932	11	34	eigenstates	eigenstate	NOUN
ap-932	11	35	cease	cease	VERB
ap-932	11	36	to	to	PART
ap-932	11	37	be	be	AUX
ap-932	11	38	eigenstates	eigenstate	NOUN
ap-932	11	39	of	of	ADP
ap-932	11	40	the	the	DET
ap-932	11	41	�	�	PROPN
ap-932	11	42	�	�	PROPN
ap-932	11	43	operator	operator	NOUN
ap-932	11	44	then	then	ADV
ap-932	11	45	.	.	PUNCT
ap-932	12	1	also	also	ADV
ap-932	12	2	,	,	PUNCT
ap-932	12	3	the	the	DET
ap-932	12	4	pseudo	pseudo	NOUN
ap-932	12	5	-	-	NOUN
ap-932	12	6	norm	norm	NOUN
ap-932	12	7	defined	define	VERB
ap-932	12	8	by	by	ADP
ap-932	12	9	the	the	DET
ap-932	12	10	modified	modify	VERB
ap-932	12	11	inner	inner	ADJ
ap-932	12	12	product	product	NOUN
ap-932	12	13	�	�	PROPN
ap-932	12	14	�	�	PROPN
ap-932	12	15	�	�	PROPN
ap-932	12	16	�	�	PROPN
ap-932	12	17	�	�	PROPN
ap-932	12	18	�	�	PROPN
ap-932	12	19	�	�	PROPN
ap-932	12	20	�	�	PROPN
ap-932	12	21	turned	turn	VERB
ap-932	12	22	out	out	ADP
ap-932	12	23	to	to	PART
ap-932	12	24	have	have	VERB
ap-932	12	25	indefinite	indefinite	ADJ
ap-932	12	26	sign	sign	NOUN
ap-932	12	27	.	.	PUNCT
ap-932	13	1	�	�	PROPN
ap-932	13	2	�	�	PROPN
ap-932	13	3	symmetry	symmetry	NOUN
ap-932	13	4	was	be	AUX
ap-932	13	5	later	later	ADV
ap-932	13	6	identified	identify	VERB
ap-932	13	7	as	as	ADP
ap-932	13	8	the	the	DET
ap-932	13	9	special	special	ADJ
ap-932	13	10	case	case	NOUN
ap-932	13	11	of	of	ADP
ap-932	13	12	pseudo	pseudo	NOUN
ap-932	13	13	-	-	NOUN
ap-932	13	14	hermiticity	hermiticity	NOUN
ap-932	13	15	,	,	PUNCT
ap-932	13	16	and	and	CCONJ
ap-932	13	17	this	this	PRON
ap-932	13	18	explained	explain	VERB
ap-932	13	19	much	much	ADJ
ap-932	13	20	of	of	ADP
ap-932	13	21	the	the	DET
ap-932	13	22	unusual	unusual	ADJ
ap-932	13	23	results	result	NOUN
ap-932	13	24	.	.	PUNCT
ap-932	14	1	the	the	DET
ap-932	14	2	proceedings	proceeding	NOUN
ap-932	14	3	volumes	volume	NOUN
ap-932	14	4	of	of	ADP
ap-932	14	5	recent	recent	ADJ
ap-932	14	6	workshops	workshop	NOUN
ap-932	14	7	[	[	X
ap-932	14	8	2	2	NUM
ap-932	14	9	]	]	PUNCT
ap-932	14	10	,	,	PUNCT
ap-932	14	11	[	[	X
ap-932	14	12	3	3	NUM
ap-932	14	13	]	]	PUNCT
ap-932	14	14	give	give	VERB
ap-932	14	15	a	a	DET
ap-932	14	16	comprehensive	comprehensive	ADJ
ap-932	14	17	account	account	NOUN
ap-932	14	18	of	of	ADP
ap-932	14	19	the	the	DET
ap-932	14	20	status	status	NOUN
ap-932	14	21	of	of	ADP
ap-932	14	22	�	�	PROPN
ap-932	14	23	�	�	NOUN
ap-932	14	24	-symmetric	-symmetric	ADJ
ap-932	14	25	quantum	quantum	NOUN
ap-932	14	26	mechanics	mechanic	NOUN
ap-932	14	27	and	and	CCONJ
ap-932	14	28	related	related	ADJ
ap-932	14	29	fields	field	NOUN
ap-932	14	30	.	.	PUNCT
ap-932	15	1	with	with	ADP
ap-932	15	2	only	only	ADV
ap-932	15	3	a	a	DET
ap-932	15	4	few	few	ADJ
ap-932	15	5	exceptions	exception	NOUN
ap-932	15	6	the	the	DET
ap-932	15	7	study	study	NOUN
ap-932	15	8	of	of	ADP
ap-932	15	9	�	�	PROPN
ap-932	15	10	�	�	PROPN
ap-932	15	11	-symmetric	-symmetric	ADJ
ap-932	15	12	systems	system	NOUN
ap-932	15	13	has	have	AUX
ap-932	15	14	been	be	AUX
ap-932	15	15	restricted	restrict	VERB
ap-932	15	16	to	to	ADP
ap-932	15	17	the	the	DET
ap-932	15	18	bound	bind	VERB
ap-932	15	19	states	state	NOUN
ap-932	15	20	of	of	ADP
ap-932	15	21	one	one	NUM
ap-932	15	22	-	-	PUNCT
ap-932	15	23	dimensional	dimensional	ADJ
ap-932	15	24	non	non	ADJ
ap-932	15	25	-	-	ADJ
ap-932	15	26	relativistic	relativistic	ADJ
ap-932	15	27	problems	problem	NOUN
ap-932	15	28	,	,	PUNCT
ap-932	15	29	where	where	SCONJ
ap-932	15	30	�	�	PROPN
ap-932	15	31	�	�	PROPN
ap-932	15	32	symmetry	symmetry	NOUN
ap-932	15	33	amounts	amount	VERB
ap-932	15	34	to	to	ADP
ap-932	15	35	the	the	DET
ap-932	15	36	requirement	requirement	NOUN
ap-932	15	37	v	v	ADP
ap-932	15	38	x	x	SYM
ap-932	15	39	v	v	NOUN
ap-932	15	40	x	x	X
ap-932	15	41	*	*	PUNCT
ap-932	15	42	(	(	PUNCT
ap-932	15	43	)	)	PUNCT
ap-932	15	44	(	(	PUNCT
ap-932	15	45	)	)	PUNCT
ap-932	15	46	�	�	PROPN
ap-932	15	47	�	�	PROPN
ap-932	15	48	.	.	PUNCT
ap-932	16	1	here	here	ADV
ap-932	16	2	we	we	PRON
ap-932	16	3	extend	extend	VERB
ap-932	16	4	the	the	DET
ap-932	16	5	scope	scope	NOUN
ap-932	16	6	of	of	ADP
ap-932	16	7	these	these	DET
ap-932	16	8	investigations	investigation	NOUN
ap-932	16	9	by	by	ADP
ap-932	16	10	considering	consider	VERB
ap-932	16	11	�	�	PROPN
ap-932	16	12	�	�	NOUN
ap-932	16	13	-symmetric	-symmetric	ADJ
ap-932	16	14	problems	problem	NOUN
ap-932	16	15	in	in	ADP
ap-932	16	16	higher	high	ADJ
ap-932	16	17	spatial	spatial	ADJ
ap-932	16	18	dimensions	dimension	NOUN
ap-932	16	19	.	.	PUNCT
ap-932	17	1	in	in	ADP
ap-932	17	2	particular	particular	ADJ
ap-932	17	3	,	,	PUNCT
ap-932	17	4	we	we	PRON
ap-932	17	5	employ	employ	VERB
ap-932	17	6	a	a	DET
ap-932	17	7	simple	simple	ADJ
ap-932	17	8	method	method	NOUN
ap-932	17	9	of	of	ADP
ap-932	17	10	generating	generate	VERB
ap-932	17	11	solvable	solvable	ADJ
ap-932	17	12	non	non	ADJ
ap-932	17	13	-	-	ADJ
ap-932	17	14	central	central	ADJ
ap-932	17	15	potentials	potential	NOUN
ap-932	17	16	by	by	ADP
ap-932	17	17	the	the	DET
ap-932	17	18	separation	separation	NOUN
ap-932	17	19	of	of	ADP
ap-932	17	20	the	the	DET
ap-932	17	21	variables	variable	NOUN
ap-932	17	22	and	and	CCONJ
ap-932	17	23	combine	combine	VERB
ap-932	17	24	it	it	PRON
ap-932	17	25	with	with	ADP
ap-932	17	26	the	the	DET
ap-932	17	27	requirements	requirement	NOUN
ap-932	17	28	of	of	ADP
ap-932	17	29	�	�	PROPN
ap-932	17	30	�	�	PROPN
ap-932	17	31	symmetry	symmetry	NOUN
ap-932	17	32	[	[	X
ap-932	17	33	4	4	NUM
ap-932	17	34	]	]	PUNCT
ap-932	17	35	.	.	PUNCT
ap-932	18	1	2	2	NUM
ap-932	18	2	non	non	ADJ
ap-932	18	3	-	-	ADJ
ap-932	18	4	central	central	ADJ
ap-932	18	5	potentials	potential	NOUN
ap-932	18	6	in	in	ADP
ap-932	18	7	polar	polar	ADJ
ap-932	18	8	coordinates	coordinate	NOUN
ap-932	18	9	let	let	VERB
ap-932	18	10	us	we	PRON
ap-932	18	11	consider	consider	VERB
ap-932	18	12	the	the	DET
ap-932	18	13	schrödinger	schrödinger	ADJ
ap-932	18	14	equation	equation	NOUN
ap-932	18	15	with	with	ADP
ap-932	18	16	constant	constant	ADJ
ap-932	18	17	mass	mass	NOUN
ap-932	19	1	p	p	NOUN
ap-932	19	2	r	r	NOUN
ap-932	19	3	r	r	NOUN
ap-932	19	4	r	r	NOUN
ap-932	19	5	r	r	NOUN
ap-932	19	6	r	r	NOUN
ap-932	19	7	2	2	NUM
ap-932	19	8	2	2	NUM
ap-932	19	9	2	2	NUM
ap-932	19	10	2	2	NUM
ap-932	19	11	m	m	NOUN
ap-932	19	12	v	v	NOUN
ap-932	19	13	m	m	PROPN
ap-932	19	14	v	v	PRON
ap-932	19	15	�	�	PROPN
ap-932	19	16	�	�	PROPN
ap-932	19	17	�	�	PROPN
ap-932	19	18	�	�	PROPN
ap-932	19	19	�	�	PROPN
ap-932	19	20	�	�	PROPN
ap-932	19	21	�	�	PROPN
ap-932	19	22	�	�	PROPN
ap-932	19	23	�	�	PROPN
ap-932	19	24	(	(	PUNCT
ap-932	19	25	)	)	PUNCT
ap-932	19	26	(	(	PUNCT
ap-932	19	27	)	)	PUNCT
ap-932	19	28	(	(	PUNCT
ap-932	19	29	)	)	PUNCT
ap-932	19	30	(	(	PUNCT
ap-932	19	31	)	)	PUNCT
ap-932	19	32	(	(	PUNCT
ap-932	19	33	)	)	PUNCT
ap-932	19	34	�	�	PROPN
ap-932	19	35	�	�	PROPN
ap-932	19	36	�	�	PROPN
ap-932	19	37	�	�	PROPN
ap-932	19	38	�	�	PROPN
ap-932	19	39	,	,	PUNCT
ap-932	19	40	(	(	PUNCT
ap-932	19	41	1	1	X
ap-932	19	42	)	)	PUNCT
ap-932	19	43	where	where	SCONJ
ap-932	19	44	the	the	DET
ap-932	19	45	potential	potential	ADJ
ap-932	19	46	v(r	v(r	NOUN
ap-932	19	47	)	)	PUNCT
ap-932	19	48	is	be	AUX
ap-932	19	49	a	a	DET
ap-932	19	50	general	general	ADJ
ap-932	19	51	function	function	NOUN
ap-932	19	52	of	of	ADP
ap-932	19	53	the	the	DET
ap-932	19	54	position	position	NOUN
ap-932	19	55	r.	r.	NOUN
ap-932	19	56	although	although	SCONJ
ap-932	19	57	in	in	ADP
ap-932	19	58	this	this	DET
ap-932	19	59	section	section	NOUN
ap-932	19	60	we	we	PRON
ap-932	19	61	implicitly	implicitly	ADV
ap-932	19	62	assume	assume	VERB
ap-932	19	63	that	that	SCONJ
ap-932	19	64	v(r	v(r	NOUN
ap-932	19	65	)	)	PUNCT
ap-932	19	66	is	be	AUX
ap-932	19	67	real	real	ADJ
ap-932	19	68	,	,	PUNCT
ap-932	19	69	so	so	CCONJ
ap-932	19	70	the	the	DET
ap-932	19	71	hamiltonian	hamiltonian	NOUN
ap-932	19	72	describing	describe	VERB
ap-932	19	73	the	the	DET
ap-932	19	74	quantum	quantum	ADJ
ap-932	19	75	system	system	NOUN
ap-932	19	76	is	be	AUX
ap-932	19	77	self	self	NOUN
ap-932	19	78	-	-	PUNCT
ap-932	19	79	adjoint	adjoint	NOUN
ap-932	19	80	,	,	PUNCT
ap-932	19	81	the	the	DET
ap-932	19	82	procedure	procedure	NOUN
ap-932	19	83	we	we	PRON
ap-932	19	84	follow	follow	VERB
ap-932	19	85	here	here	ADV
ap-932	19	86	can	can	AUX
ap-932	19	87	be	be	AUX
ap-932	19	88	applied	apply	VERB
ap-932	19	89	to	to	ADP
ap-932	19	90	complex	complex	ADJ
ap-932	19	91	potentials	potential	NOUN
ap-932	19	92	too	too	ADV
ap-932	19	93	.	.	PUNCT
ap-932	20	1	in	in	ADP
ap-932	20	2	what	what	PRON
ap-932	20	3	follows	follow	VERB
ap-932	20	4	we	we	PRON
ap-932	20	5	choose	choose	VERB
ap-932	20	6	the	the	DET
ap-932	20	7	units	unit	NOUN
ap-932	20	8	as	as	ADP
ap-932	20	9	2	2	NUM
ap-932	20	10	1	1	NUM
ap-932	20	11	m	m	PROPN
ap-932	20	12	�	�	PROPN
ap-932	20	13	�	�	PROPN
ap-932	20	14	�	�	PROPN
ap-932	20	15	.	.	PUNCT
ap-932	21	1	specifying	specify	VERB
ap-932	21	2	(	(	PUNCT
ap-932	21	3	1	1	NUM
ap-932	21	4	)	)	PUNCT
ap-932	21	5	for	for	ADP
ap-932	21	6	d	d	PROPN
ap-932	21	7	�	�	PROPN
ap-932	21	8	3	3	NUM
ap-932	21	9	dimensions	dimension	NOUN
ap-932	21	10	and	and	CCONJ
ap-932	21	11	using	use	VERB
ap-932	21	12	polar	polar	ADJ
ap-932	21	13	coordinates	coordinate	NOUN
ap-932	21	14	we	we	PRON
ap-932	21	15	obtain	obtain	VERB
ap-932	21	16	1	1	NUM
ap-932	21	17	1	1	NUM
ap-932	21	18	1	1	NUM
ap-932	21	19	1	1	NUM
ap-932	21	20	2	2	NUM
ap-932	21	21	2	2	NUM
ap-932	21	22	2	2	NUM
ap-932	21	23	2	2	NUM
ap-932	21	24	2	2	NUM
ap-932	21	25	2	2	NUM
ap-932	21	26	2	2	NUM
ap-932	21	27	2	2	NUM
ap-932	21	28	r	r	NOUN
ap-932	21	29	r	r	NOUN
ap-932	21	30	r	r	NOUN
ap-932	21	31	r	r	NOUN
ap-932	21	32	r	r	NOUN
ap-932	21	33	r	r	NOUN
ap-932	21	34	r	r	NOUN
ap-932	21	35	�	�	PROPN
ap-932	21	36	�	�	PROPN
ap-932	21	37	�	�	PROPN
ap-932	21	38	�	�	PROPN
ap-932	21	39	�	�	PROPN
ap-932	21	40	�	�	PROPN
ap-932	21	41	�	�	PROPN
ap-932	21	42	�	�	PROPN
ap-932	21	43	�	�	PROPN
ap-932	21	44	�	�	PROPN
ap-932	21	45	�	�	PROPN
ap-932	21	46	�	�	PROPN
ap-932	21	47	�	�	PROPN
ap-932	21	48	�	�	PROPN
ap-932	21	49	�	�	PROPN
ap-932	21	50	�	�	PROPN
ap-932	21	51	�	�	PROPN
ap-932	21	52	�	�	PROPN
ap-932	21	53	�	�	PROPN
ap-932	21	54	�	�	PROPN
ap-932	21	55	�	�	PROPN
ap-932	21	56	cot	cot	NOUN
ap-932	21	57	(	(	PUNCT
ap-932	21	58	)	)	PUNCT
ap-932	21	59	sin	sin	PROPN
ap-932	21	60	�	�	PROPN
ap-932	21	61	�	�	PROPN
ap-932	21	62	�	�	PROPN
ap-932	21	63	�	�	PROPN
ap-932	21	64	�	�	PROPN
ap-932	21	65	�	�	PROPN
ap-932	21	66	�	�	PROPN
ap-932	21	67	�	�	PROPN
ap-932	21	68	�	�	PROPN
ap-932	21	69	2	2	NUM
ap-932	21	70	2	2	NUM
ap-932	21	71	0	0	NUM
ap-932	21	72	�	�	PROPN
ap-932	21	73	�	�	PROPN
ap-932	21	74	�	�	PROPN
ap-932	21	75	v	v	NOUN
ap-932	21	76	r	r	NOUN
ap-932	21	77	e	e	NOUN
ap-932	21	78	(	(	PUNCT
ap-932	21	79	,	,	PUNCT
ap-932	21	80	,	,	PUNCT
ap-932	21	81	)	)	PUNCT
ap-932	21	82	.	.	PUNCT
ap-932	22	1	(	(	PUNCT
ap-932	22	2	2	2	X
ap-932	22	3	)	)	PUNCT
ap-932	22	4	40	40	NUM
ap-932	22	5	©	©	PROPN
ap-932	22	6	czech	czech	PROPN
ap-932	22	7	technical	technical	PROPN
ap-932	22	8	university	university	PROPN
ap-932	22	9	publishing	publishing	NOUN
ap-932	22	10	house	house	NOUN
ap-932	22	11	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-932	22	12	acta	acta	PROPN
ap-932	22	13	polytechnica	polytechnica	PROPN
ap-932	22	14	vol	vol	NOUN
ap-932	22	15	.	.	PUNCT
ap-932	23	1	47	47	NUM
ap-932	23	2	no	no	NOUN
ap-932	23	3	.	.	PUNCT
ap-932	24	1	2–3/2007	2–3/2007	NUM
ap-932	24	2	�	�	PROPN
ap-932	24	3	�	�	PROPN
ap-932	24	4	-symmetry	-symmetry	PROPN
ap-932	24	5	and	and	CCONJ
ap-932	24	6	non	non	ADJ
ap-932	24	7	-	-	ADJ
ap-932	24	8	central	central	ADJ
ap-932	24	9	potentials	potential	NOUN
ap-932	25	1	g.	g.	PROPN
ap-932	25	2	lévai	lévai	VERB
ap-932	25	3	we	we	PRON
ap-932	25	4	present	present	VERB
ap-932	25	5	a	a	DET
ap-932	25	6	general	general	ADJ
ap-932	25	7	procedure	procedure	NOUN
ap-932	25	8	by	by	ADP
ap-932	25	9	which	which	PRON
ap-932	25	10	solvable	solvable	ADJ
ap-932	25	11	non	non	ADJ
ap-932	25	12	-	-	ADJ
ap-932	25	13	central	central	ADJ
ap-932	25	14	potentials	potential	NOUN
ap-932	25	15	can	can	AUX
ap-932	25	16	be	be	AUX
ap-932	25	17	obtained	obtain	VERB
ap-932	25	18	in	in	ADP
ap-932	25	19	2	2	NUM
ap-932	25	20	and	and	CCONJ
ap-932	25	21	3	3	NUM
ap-932	25	22	dimensions	dimension	NOUN
ap-932	25	23	by	by	ADP
ap-932	25	24	the	the	DET
ap-932	25	25	separation	separation	NOUN
ap-932	25	26	of	of	ADP
ap-932	25	27	the	the	DET
ap-932	25	28	angular	angular	ADJ
ap-932	25	29	and	and	CCONJ
ap-932	25	30	radial	radial	ADJ
ap-932	25	31	variables	variable	NOUN
ap-932	25	32	.	.	PUNCT
ap-932	26	1	the	the	DET
ap-932	26	2	method	method	NOUN
ap-932	26	3	is	be	AUX
ap-932	26	4	applied	apply	VERB
ap-932	26	5	to	to	PART
ap-932	26	6	generate	generate	VERB
ap-932	26	7	solvable	solvable	ADJ
ap-932	26	8	non	non	ADJ
ap-932	26	9	-	-	ADJ
ap-932	26	10	central	central	ADJ
ap-932	26	11	�	�	PROPN
ap-932	26	12	�	�	NOUN
ap-932	26	13	-symmetric	-symmetric	ADJ
ap-932	26	14	potentials	potential	NOUN
ap-932	26	15	in	in	ADP
ap-932	26	16	polar	polar	ADJ
ap-932	26	17	coordinates	coordinate	NOUN
ap-932	26	18	.	.	PUNCT
ap-932	27	1	general	general	ADJ
ap-932	27	2	considerations	consideration	NOUN
ap-932	27	3	are	be	AUX
ap-932	27	4	presented	present	VERB
ap-932	27	5	concerning	concern	VERB
ap-932	27	6	the	the	DET
ap-932	27	7	�	�	PROPN
ap-932	27	8	�	�	PROPN
ap-932	27	9	transformation	transformation	NOUN
ap-932	27	10	properties	property	NOUN
ap-932	27	11	of	of	ADP
ap-932	27	12	the	the	DET
ap-932	27	13	eigenfunctions	eigenfunction	NOUN
ap-932	27	14	,	,	PUNCT
ap-932	27	15	their	their	PRON
ap-932	27	16	pseudo	pseudo	NOUN
ap-932	27	17	-	-	NOUN
ap-932	27	18	norm	norm	NOUN
ap-932	27	19	and	and	CCONJ
ap-932	27	20	the	the	DET
ap-932	27	21	nature	nature	NOUN
ap-932	27	22	of	of	ADP
ap-932	27	23	the	the	DET
ap-932	27	24	energy	energy	NOUN
ap-932	27	25	eigenvalues	eigenvalue	VERB
ap-932	27	26	.	.	PUNCT
ap-932	28	1	it	it	PRON
ap-932	28	2	is	be	AUX
ap-932	28	3	shown	show	VERB
ap-932	28	4	that	that	SCONJ
ap-932	28	5	within	within	ADP
ap-932	28	6	the	the	DET
ap-932	28	7	present	present	ADJ
ap-932	28	8	framework	framework	NOUN
ap-932	28	9	the	the	DET
ap-932	28	10	spontaneous	spontaneous	ADJ
ap-932	28	11	breakdown	breakdown	NOUN
ap-932	28	12	of	of	ADP
ap-932	28	13	�	�	PROPN
ap-932	28	14	�	�	PROPN
ap-932	28	15	symmetry	symmetry	NOUN
ap-932	28	16	can	can	AUX
ap-932	28	17	be	be	AUX
ap-932	28	18	implemented	implement	VERB
ap-932	28	19	only	only	ADV
ap-932	28	20	in	in	ADP
ap-932	28	21	two	two	NUM
ap-932	28	22	dimensions	dimension	NOUN
ap-932	28	23	.	.	PUNCT
ap-932	29	1	keywords	keyword	NOUN
ap-932	29	2	:	:	PUNCT
ap-932	29	3	�	�	PROPN
ap-932	29	4	�	�	PROPN
ap-932	29	5	symmetry	symmetry	PROPN
ap-932	29	6	,	,	PUNCT
ap-932	29	7	angular	angular	ADJ
ap-932	29	8	and	and	CCONJ
ap-932	29	9	radial	radial	ADJ
ap-932	29	10	variables	variable	NOUN
ap-932	29	11	,	,	PUNCT
ap-932	29	12	non	non	ADJ
ap-932	29	13	-	-	ADJ
ap-932	29	14	central	central	ADJ
ap-932	29	15	potentials	potential	NOUN
ap-932	29	16	assuming	assume	VERB
ap-932	29	17	that	that	SCONJ
ap-932	29	18	the	the	DET
ap-932	29	19	separation	separation	NOUN
ap-932	29	20	of	of	ADP
ap-932	29	21	the	the	DET
ap-932	29	22	variables	variable	NOUN
ap-932	29	23	is	be	AUX
ap-932	29	24	possible	possible	ADJ
ap-932	29	25	,	,	PUNCT
ap-932	29	26	we	we	PRON
ap-932	29	27	search	search	VERB
ap-932	29	28	for	for	ADP
ap-932	29	29	the	the	DET
ap-932	29	30	solution	solution	NOUN
ap-932	29	31	as	as	ADP
ap-932	29	32	�	�	PROPN
ap-932	29	33	�	�	PROPN
ap-932	29	34	�	�	PROPN
ap-932	29	35	�	�	PROPN
ap-932	29	36	�	�	PROPN
ap-932	29	37	�	�	PROPN
ap-932	29	38	�	�	PROPN
ap-932	29	39	(	(	PUNCT
ap-932	29	40	,	,	PUNCT
ap-932	29	41	,	,	PUNCT
ap-932	29	42	)	)	PUNCT
ap-932	29	43	(	(	PUNCT
ap-932	29	44	)	)	PUNCT
ap-932	29	45	(	(	PUNCT
ap-932	29	46	)	)	PUNCT
ap-932	29	47	(	(	PUNCT
ap-932	29	48	)	)	PUNCT
ap-932	29	49	r	r	NOUN
ap-932	29	50	r	r	NOUN
ap-932	29	51	r	r	PROPN
ap-932	29	52	�	�	PROPN
ap-932	29	53	�	�	PROPN
ap-932	29	54	1	1	NUM
ap-932	29	55	,	,	PUNCT
ap-932	29	56	(	(	PUNCT
ap-932	29	57	3	3	X
ap-932	29	58	)	)	PUNCT
ap-932	29	59	where	where	SCONJ
ap-932	29	60	�	�	PROPN
ap-932	29	61	r	r	PROPN
ap-932	29	62	�	�	PROPN
ap-932	29	63	�	�	PROPN
ap-932	29	64	0	0	NUM
ap-932	29	65	,	,	PUNCT
ap-932	29	66	,	,	PUNCT
ap-932	29	67	�	�	PROPN
ap-932	29	68	�	�	PROPN
ap-932	29	69	�	�	PROPN
ap-932	29	70	�	�	PROPN
ap-932	29	71	0	0	NUM
ap-932	29	72	,	,	PUNCT
ap-932	29	73	and	and	CCONJ
ap-932	29	74	�	�	PROPN
ap-932	29	75	�	�	PROPN
ap-932	29	76	�	�	PROPN
ap-932	29	77	�	�	PROPN
ap-932	29	78	02	02	NUM
ap-932	29	79	,	,	PUNCT
ap-932	29	80	.	.	PUNCT
ap-932	30	1	then	then	ADV
ap-932	30	2	(	(	PUNCT
ap-932	30	3	2	2	X
ap-932	30	4	)	)	PUNCT
ap-932	30	5	turns	turn	VERB
ap-932	30	6	into	into	ADP
ap-932	30	7	�	�	PROPN
ap-932	30	8	�	�	PROPN
ap-932	30	9	�	�	PROPN
ap-932	30	10	�	�	PROPN
ap-932	30	11	�	�	PROPN
ap-932	30	12	�	�	PROPN
ap-932	30	13	�	�	PROPN
ap-932	30	14	�	�	PROPN
ap-932	30	15	�	�	PROPN
ap-932	30	16	�	�	PROPN
ap-932	30	17	�	�	PROPN
ap-932	30	18	�	�	PROPN
ap-932	30	19	�	�	PROPN
ap-932	30	20	�	�	PROPN
ap-932	30	21	�	�	PROPN
ap-932	30	22	�	�	PROPN
ap-932	30	23	�	�	PROPN
ap-932	30	24	�	�	PROPN
ap-932	30	25	�	�	PROPN
ap-932	30	26	�	�	PROPN
ap-932	30	27	�	�	PROPN
ap-932	30	28	�	�	PROPN
ap-932	30	29	�	�	PROPN
ap-932	30	30	�	�	PROPN
ap-932	30	31	1	1	NUM
ap-932	30	32	1	1	NUM
ap-932	30	33	2	2	NUM
ap-932	30	34	2	2	NUM
ap-932	30	35	2	2	NUM
ap-932	30	36	r	r	NOUN
ap-932	30	37	r	r	NOUN
ap-932	30	38	v	v	NOUN
ap-932	30	39	r	r	NOUN
ap-932	30	40	e	e	NOUN
ap-932	30	41	(	(	PUNCT
ap-932	30	42	cot	cot	NOUN
ap-932	30	43	(	(	PUNCT
ap-932	30	44	)	)	PUNCT
ap-932	30	45	)	)	PUNCT
ap-932	30	46	sin	sin	NOUN
ap-932	30	47	(	(	PUNCT
ap-932	30	48	,	,	PUNCT
ap-932	30	49	,	,	PUNCT
ap-932	30	50	)	)	PUNCT
ap-932	30	51	�	�	PROPN
ap-932	30	52	�	�	PROPN
ap-932	30	53	�	�	PROPN
ap-932	30	54	0	0	NUM
ap-932	30	55	,	,	PUNCT
ap-932	30	56	(	(	PUNCT
ap-932	30	57	4	4	X
ap-932	30	58	)	)	PUNCT
ap-932	30	59	where	where	SCONJ
ap-932	30	60	prime	prime	ADJ
ap-932	30	61	denotes	denote	VERB
ap-932	30	62	the	the	DET
ap-932	30	63	derivative	derivative	NOUN
ap-932	30	64	with	with	ADP
ap-932	30	65	respect	respect	NOUN
ap-932	30	66	to	to	ADP
ap-932	30	67	the	the	DET
ap-932	30	68	appropriate	appropriate	ADJ
ap-932	30	69	variable	variable	NOUN
ap-932	30	70	.	.	PUNCT
ap-932	31	1	next	next	ADV
ap-932	31	2	we	we	PRON
ap-932	31	3	assume	assume	VERB
ap-932	31	4	that	that	SCONJ
ap-932	31	5	�	�	PROPN
ap-932	31	6	�	�	PROPN
ap-932	31	7	(	(	PUNCT
ap-932	31	8	)	)	PUNCT
ap-932	31	9	and	and	CCONJ
ap-932	31	10	�	�	PROPN
ap-932	31	11	(	(	PUNCT
ap-932	31	12	)	)	PUNCT
ap-932	31	13	satisfy	satisfy	VERB
ap-932	31	14	the	the	DET
ap-932	31	15	second	second	ADJ
ap-932	31	16	-	-	PUNCT
ap-932	31	17	order	order	NOUN
ap-932	31	18	differential	differential	ADJ
ap-932	31	19	equations	equation	NOUN
ap-932	31	20	�	�	PROPN
ap-932	31	21	�	�	PROPN
ap-932	31	22	�	�	PROPN
ap-932	31	23	�	�	PROPN
ap-932	31	24	�	�	PROPN
ap-932	31	25	�	�	PROPN
ap-932	31	26	�	�	PROPN
ap-932	31	27	�	�	PROPN
ap-932	31	28	�	�	PROPN
ap-932	31	29	�	�	PROPN
ap-932	31	30	�	�	PROPN
ap-932	31	31	�	�	PROPN
ap-932	31	32	cot	cot	NOUN
ap-932	31	33	(	(	PUNCT
ap-932	31	34	)	)	PUNCT
ap-932	31	35	(	(	PUNCT
ap-932	31	36	)	)	PUNCT
ap-932	31	37	q	q	NOUN
ap-932	31	38	q	q	X
ap-932	31	39	,	,	PUNCT
ap-932	31	40	(	(	PUNCT
ap-932	31	41	5	5	X
ap-932	31	42	)	)	PUNCT
ap-932	31	43	�	�	PROPN
ap-932	31	44	�	�	PROPN
ap-932	31	45	�	�	PROPN
ap-932	31	46	�	�	PROPN
ap-932	31	47	�	�	PROPN
ap-932	31	48	�	�	PROPN
ap-932	31	49	k	k	PROPN
ap-932	31	50	k	k	PROPN
ap-932	31	51	(	(	PUNCT
ap-932	31	52	)	)	PUNCT
ap-932	31	53	.	.	PUNCT
ap-932	32	1	(	(	PUNCT
ap-932	32	2	6	6	X
ap-932	32	3	)	)	PUNCT
ap-932	32	4	it	it	PRON
ap-932	32	5	is	be	AUX
ap-932	32	6	seen	see	VERB
ap-932	32	7	that	that	SCONJ
ap-932	32	8	(	(	PUNCT
ap-932	32	9	6	6	NUM
ap-932	32	10	)	)	PUNCT
ap-932	32	11	can	can	AUX
ap-932	32	12	be	be	AUX
ap-932	32	13	considered	consider	VERB
ap-932	32	14	a	a	DET
ap-932	32	15	one	one	NUM
ap-932	32	16	-	-	PUNCT
ap-932	32	17	dimensional	dimensional	ADJ
ap-932	32	18	schrödinger	schrödinger	ADJ
ap-932	32	19	equation	equation	NOUN
ap-932	32	20	defined	define	VERB
ap-932	32	21	in	in	ADP
ap-932	32	22	the	the	DET
ap-932	32	23	finite	finite	ADJ
ap-932	32	24	domain	domain	NOUN
ap-932	32	25	�	�	PROPN
ap-932	32	26	�	�	PROPN
ap-932	32	27	0	0	NUM
ap-932	32	28	2	2	NUM
ap-932	32	29	,	,	PUNCT
ap-932	32	30	with	with	ADP
ap-932	32	31	periodic	periodic	ADJ
ap-932	32	32	boundary	boundary	ADJ
ap-932	32	33	conditions	condition	NOUN
ap-932	32	34	(	(	PUNCT
ap-932	32	35	)	)	PUNCT
ap-932	32	36	(	(	PUNCT
ap-932	32	37	)	)	PUNCT
ap-932	32	38	0	0	NUM
ap-932	32	39	2	2	NUM
ap-932	32	40	�	�	PROPN
ap-932	32	41	and	and	CCONJ
ap-932	32	42	�	�	PROPN
ap-932	32	43	�	�	PROPN
ap-932	32	44	�	�	PROPN
ap-932	32	45	(	(	PUNCT
ap-932	32	46	)	)	PUNCT
ap-932	32	47	(	(	PUNCT
ap-932	32	48	)	)	PUNCT
ap-932	32	49	0	0	NUM
ap-932	32	50	2	2	NUM
ap-932	32	51	.	.	PUNCT
ap-932	33	1	note	note	VERB
ap-932	33	2	that	that	SCONJ
ap-932	33	3	in	in	ADP
ap-932	33	4	the	the	DET
ap-932	33	5	case	case	NOUN
ap-932	33	6	of	of	ADP
ap-932	33	7	one	one	NUM
ap-932	33	8	-	-	PUNCT
ap-932	33	9	dimensional	dimensional	ADJ
ap-932	33	10	potentials	potential	NOUN
ap-932	33	11	defined	define	VERB
ap-932	33	12	within	within	ADP
ap-932	33	13	a	a	DET
ap-932	33	14	finite	finite	ADJ
ap-932	33	15	domain	domain	NOUN
ap-932	33	16	the	the	DET
ap-932	33	17	wavefunction	wavefunction	NOUN
ap-932	33	18	is	be	AUX
ap-932	33	19	usually	usually	ADV
ap-932	33	20	required	require	VERB
ap-932	33	21	to	to	PART
ap-932	33	22	vanish	vanish	VERB
ap-932	33	23	at	at	ADP
ap-932	33	24	the	the	DET
ap-932	33	25	boundaries	boundary	NOUN
ap-932	33	26	,	,	PUNCT
ap-932	33	27	however	however	ADV
ap-932	33	28	,	,	PUNCT
ap-932	33	29	considering	consider	VERB
ap-932	33	30	periodic	periodic	ADJ
ap-932	33	31	boundary	boundary	ADJ
ap-932	33	32	conditions	condition	NOUN
ap-932	33	33	,	,	PUNCT
ap-932	33	34	this	this	PRON
ap-932	33	35	is	be	AUX
ap-932	33	36	not	not	PART
ap-932	33	37	a	a	DET
ap-932	33	38	necessary	necessary	ADJ
ap-932	33	39	requirement	requirement	NOUN
ap-932	33	40	:	:	PUNCT
ap-932	33	41	it	it	PRON
ap-932	33	42	can	can	AUX
ap-932	33	43	also	also	ADV
ap-932	33	44	be	be	AUX
ap-932	33	45	finite	finite	ADJ
ap-932	33	46	there	there	ADV
ap-932	33	47	.	.	PUNCT
ap-932	34	1	equation	equation	NOUN
ap-932	34	2	(	(	PUNCT
ap-932	34	3	5	5	NUM
ap-932	34	4	)	)	PUNCT
ap-932	34	5	is	be	AUX
ap-932	34	6	solvable	solvable	ADJ
ap-932	34	7	for	for	ADP
ap-932	34	8	the	the	DET
ap-932	34	9	choice	choice	NOUN
ap-932	34	10	q	q	NOUN
ap-932	34	11	(	(	PUNCT
ap-932	34	12	)	)	PUNCT
ap-932	34	13	sin	sin	NOUN
ap-932	34	14	(	(	PUNCT
ap-932	34	15	)	)	PUNCT
ap-932	34	16	�	�	PROPN
ap-932	34	17	�	�	PROPN
ap-932	34	18	�	�	PROPN
ap-932	34	19	�	�	PROPN
ap-932	34	20	�	�	PROPN
ap-932	34	21	2	2	NUM
ap-932	34	22	2	2	NUM
ap-932	34	23	,	,	PUNCT
ap-932	34	24	q	q	PROPN
ap-932	34	25	�	�	PROPN
ap-932	34	26	�	�	PROPN
ap-932	34	27	�	�	PROPN
ap-932	34	28	�	�	PROPN
ap-932	34	29	(	(	PUNCT
ap-932	34	30	)	)	PUNCT
ap-932	34	31	1	1	NUM
ap-932	34	32	,	,	PUNCT
ap-932	34	33	(	(	PUNCT
ap-932	34	34	7	7	X
ap-932	34	35	)	)	PUNCT
ap-932	34	36	when	when	SCONJ
ap-932	34	37	the	the	DET
ap-932	34	38	solutions	solution	NOUN
ap-932	34	39	are	be	AUX
ap-932	34	40	given	give	VERB
ap-932	34	41	by	by	ADP
ap-932	34	42	the	the	DET
ap-932	34	43	associated	associated	PROPN
ap-932	34	44	legendre	legendre	PROPN
ap-932	34	45	functions	functions	PROPN
ap-932	34	46	�	�	PROPN
ap-932	34	47	p	p	SYM
ap-932	34	48	�	�	PROPN
ap-932	34	49	�	�	PROPN
ap-932	34	50	�	�	PROPN
ap-932	34	51	cos	cos	PROPN
ap-932	34	52	(	(	PUNCT
ap-932	34	53	)	)	PUNCT
ap-932	35	1	[	[	X
ap-932	35	2	5	5	NUM
ap-932	35	3	]	]	PUNCT
ap-932	35	4	.	.	PUNCT
ap-932	36	1	normalizability	normalizability	NOUN
ap-932	36	2	requires	require	VERB
ap-932	36	3	�	�	PROPN
ap-932	36	4	and	and	CCONJ
ap-932	36	5	�	�	PROPN
ap-932	36	6	to	to	PART
ap-932	36	7	be	be	AUX
ap-932	36	8	non	non	ADJ
ap-932	36	9	-	-	ADJ
ap-932	36	10	negative	negative	ADJ
ap-932	36	11	integers	integer	NOUN
ap-932	36	12	such	such	ADJ
ap-932	36	13	that	that	SCONJ
ap-932	36	14	�	�	PROPN
ap-932	36	15	�	�	PROPN
ap-932	36	16	l	l	PROPN
ap-932	36	17	,	,	PUNCT
ap-932	36	18	�	�	PROPN
ap-932	36	19	�	�	PROPN
ap-932	36	20	�	�	PROPN
ap-932	36	21	m	m	PROPN
ap-932	36	22	l.	l.	PROPN
ap-932	36	23	then	then	ADV
ap-932	36	24	�	�	PROPN
ap-932	36	25	�	�	PROPN
ap-932	36	26	�	�	PROPN
ap-932	36	27	�	�	PROPN
ap-932	36	28	lm	lm	PROPN
ap-932	36	29	m	m	PROPN
ap-932	36	30	l	l	NOUN
ap-932	36	31	mi	mi	PROPN
ap-932	36	32	l	l	PROPN
ap-932	36	33	l	l	NOUN
ap-932	36	34	m	m	VERB
ap-932	36	35	l	l	NOUN
ap-932	36	36	m	m	VERB
ap-932	36	37	p	p	X
ap-932	36	38	(	(	PUNCT
ap-932	36	39	)	)	PUNCT
ap-932	36	40	(	(	PUNCT
ap-932	36	41	)	)	PUNCT
ap-932	36	42	!	!	PUNCT
ap-932	37	1	(	(	PUNCT
ap-932	37	2	)	)	PUNCT
ap-932	37	3	!	!	PUNCT
ap-932	38	1	cos	cos	PROPN
ap-932	38	2	(	(	PUNCT
ap-932	38	3	)	)	PUNCT
ap-932	38	4	�	�	PROPN
ap-932	38	5	�	�	PROPN
ap-932	38	6	�	�	PROPN
ap-932	38	7	�	�	PROPN
ap-932	38	8	�	�	PROPN
ap-932	38	9	�	�	PROPN
ap-932	38	10	�	�	PROPN
ap-932	38	11	�	�	PROPN
ap-932	38	12	�	�	PROPN
ap-932	38	13	�	�	PROPN
ap-932	38	14	�	�	PROPN
ap-932	38	15	�	�	PROPN
ap-932	38	16	�	�	PROPN
ap-932	38	17	�	�	PROPN
ap-932	38	18	1	1	NUM
ap-932	38	19	2	2	NUM
ap-932	38	20	1	1	NUM
ap-932	38	21	2	2	NUM
ap-932	38	22	.	.	PUNCT
ap-932	39	1	(	(	PUNCT
ap-932	39	2	8)	8)	NUM
ap-932	39	3	substituting	substituting	NOUN
ap-932	39	4	(	(	PUNCT
ap-932	39	5	6	6	NUM
ap-932	39	6	)	)	PUNCT
ap-932	39	7	,	,	PUNCT
ap-932	39	8	(	(	PUNCT
ap-932	39	9	5	5	NUM
ap-932	39	10	)	)	PUNCT
ap-932	39	11	and	and	CCONJ
ap-932	39	12	(	(	PUNCT
ap-932	39	13	7	7	X
ap-932	39	14	)	)	PUNCT
ap-932	39	15	in	in	ADP
ap-932	39	16	(	(	PUNCT
ap-932	39	17	4	4	X
ap-932	39	18	)	)	PUNCT
ap-932	39	19	the	the	DET
ap-932	39	20	angular	angular	ADJ
ap-932	39	21	part	part	NOUN
ap-932	39	22	can	can	AUX
ap-932	39	23	be	be	AUX
ap-932	39	24	separated	separate	VERB
ap-932	39	25	,	,	PUNCT
ap-932	39	26	and	and	CCONJ
ap-932	39	27	a	a	DET
ap-932	39	28	radial	radial	ADJ
ap-932	39	29	schrödinger	schrödinger	ADJ
ap-932	39	30	equation	equation	NOUN
ap-932	39	31	is	be	AUX
ap-932	39	32	obtained	obtain	VERB
ap-932	39	33	�	�	PROPN
ap-932	39	34	�	�	PROPN
ap-932	39	35	�	�	PROPN
ap-932	39	36	�	�	PROPN
ap-932	39	37	�	�	PROPN
ap-932	39	38	�	�	PROPN
ap-932	39	39	�	�	PROPN
ap-932	39	40	�	�	PROPN
ap-932	39	41	�	�	PROPN
ap-932	39	42	�	�	PROPN
ap-932	39	43	�	�	PROPN
ap-932	39	44	�	�	PROPN
ap-932	39	45	�	�	PROPN
ap-932	39	46	�	�	PROPN
ap-932	39	47	�	�	PROPN
ap-932	39	48	�	�	PROPN
ap-932	39	49	�	�	PROPN
ap-932	39	50	v	v	NOUN
ap-932	39	51	r	r	NOUN
ap-932	39	52	l	l	NOUN
ap-932	39	53	l	l	NOUN
ap-932	39	54	r	r	NOUN
ap-932	39	55	e0	e0	NOUN
ap-932	39	56	2	2	NUM
ap-932	39	57	1	1	NUM
ap-932	39	58	0	0	NUM
ap-932	39	59	(	(	PUNCT
ap-932	39	60	)	)	PUNCT
ap-932	39	61	(	(	PUNCT
ap-932	39	62	)	)	PUNCT
ap-932	39	63	,	,	PUNCT
ap-932	39	64	(	(	PUNCT
ap-932	39	65	9	9	X
ap-932	39	66	)	)	PUNCT
ap-932	39	67	where	where	SCONJ
ap-932	39	68	the	the	DET
ap-932	39	69	central	central	ADJ
ap-932	39	70	potential	potential	NOUN
ap-932	39	71	v	v	ADP
ap-932	39	72	r0	r0	NOUN
ap-932	39	73	(	(	PUNCT
ap-932	39	74	)	)	PUNCT
ap-932	39	75	is	be	AUX
ap-932	39	76	related	relate	VERB
ap-932	39	77	to	to	ADP
ap-932	39	78	v	v	NOUN
ap-932	39	79	r	r	NOUN
ap-932	39	80	(	(	PUNCT
ap-932	39	81	,	,	PUNCT
ap-932	39	82	,	,	PUNCT
ap-932	39	83	)	)	PUNCT
ap-932	39	84	�	�	PROPN
ap-932	39	85	�	�	PROPN
ap-932	39	86	as	as	ADP
ap-932	39	87	�	�	PROPN
ap-932	39	88	v	v	ADP
ap-932	39	89	r	r	NOUN
ap-932	39	90	v	v	NOUN
ap-932	39	91	r	r	NOUN
ap-932	39	92	r	r	NOUN
ap-932	39	93	k	k	PROPN
ap-932	39	94	k	k	PROPN
ap-932	39	95	m	m	PROPN
ap-932	39	96	(	(	PUNCT
ap-932	39	97	,	,	PUNCT
ap-932	39	98	,	,	PUNCT
ap-932	39	99	)	)	PUNCT
ap-932	39	100	(	(	PUNCT
ap-932	39	101	)	)	PUNCT
ap-932	39	102	sin	sin	NOUN
ap-932	39	103	(	(	PUNCT
ap-932	39	104	)	)	PUNCT
ap-932	39	105	(	(	PUNCT
ap-932	39	106	)	)	PUNCT
ap-932	39	107	�	�	PROPN
ap-932	39	108	�	�	PROPN
ap-932	39	109	�	�	PROPN
ap-932	39	110	�	�	PROPN
ap-932	39	111	�	�	PROPN
ap-932	39	112	�	�	PROPN
ap-932	39	113	�	�	PROPN
ap-932	39	114	�	�	PROPN
ap-932	39	115	0	0	NUM
ap-932	39	116	2	2	NUM
ap-932	39	117	2	2	NUM
ap-932	39	118	21	21	NUM
ap-932	39	119	.	.	PUNCT
ap-932	40	1	(	(	PUNCT
ap-932	40	2	10	10	NUM
ap-932	40	3	)	)	PUNCT
ap-932	40	4	in	in	ADP
ap-932	40	5	its	its	PRON
ap-932	40	6	most	most	ADV
ap-932	40	7	general	general	ADJ
ap-932	40	8	form	form	NOUN
ap-932	40	9	,	,	PUNCT
ap-932	40	10	(	(	PUNCT
ap-932	40	11	10	10	NUM
ap-932	40	12	)	)	PUNCT
ap-932	40	13	is	be	AUX
ap-932	40	14	a	a	DET
ap-932	40	15	non	non	ADJ
ap-932	40	16	-	-	ADJ
ap-932	40	17	central	central	ADJ
ap-932	40	18	potential	potential	NOUN
ap-932	40	19	that	that	PRON
ap-932	40	20	depends	depend	VERB
ap-932	40	21	on	on	ADP
ap-932	40	22	the	the	DET
ap-932	40	23	states	state	NOUN
ap-932	40	24	through	through	ADP
ap-932	40	25	k	k	PROPN
ap-932	40	26	and	and	CCONJ
ap-932	40	27	m.	m.	NOUN
ap-932	40	28	in	in	ADP
ap-932	40	29	order	order	NOUN
ap-932	40	30	to	to	PART
ap-932	40	31	eliminate	eliminate	VERB
ap-932	40	32	the	the	DET
ap-932	40	33	state	state	NOUN
ap-932	40	34	-	-	PUNCT
ap-932	40	35	dependence	dependence	NOUN
ap-932	40	36	one	one	NOUN
ap-932	40	37	can	can	AUX
ap-932	40	38	apply	apply	VERB
ap-932	40	39	the	the	DET
ap-932	40	40	prescription	prescription	NOUN
ap-932	41	1	k	k	PROPN
ap-932	41	2	m	m	VERB
ap-932	41	3	a	a	DET
ap-932	41	4	�	�	PROPN
ap-932	41	5	�	�	PROPN
ap-932	41	6	2	2	NUM
ap-932	41	7	,	,	PUNCT
ap-932	41	8	where	where	SCONJ
ap-932	41	9	a	a	PRON
ap-932	41	10	is	be	AUX
ap-932	41	11	a	a	DET
ap-932	41	12	constant	constant	ADJ
ap-932	41	13	.	.	PUNCT
ap-932	42	1	since	since	SCONJ
ap-932	42	2	m	m	PROPN
ap-932	42	3	has	have	VERB
ap-932	42	4	to	to	PART
ap-932	42	5	be	be	AUX
ap-932	42	6	an	an	DET
ap-932	42	7	integer	integer	NOUN
ap-932	42	8	,	,	PUNCT
ap-932	42	9	this	this	DET
ap-932	42	10	prescription	prescription	NOUN
ap-932	42	11	represents	represent	VERB
ap-932	42	12	a	a	DET
ap-932	42	13	restriction	restriction	NOUN
ap-932	42	14	on	on	ADP
ap-932	42	15	the	the	DET
ap-932	42	16	solutions	solution	NOUN
ap-932	42	17	of	of	ADP
ap-932	42	18	equation	equation	NOUN
ap-932	42	19	(	(	PUNCT
ap-932	42	20	6	6	NUM
ap-932	42	21	)	)	PUNCT
ap-932	42	22	.	.	PUNCT
ap-932	43	1	a	a	DET
ap-932	43	2	special	special	ADJ
ap-932	43	3	case	case	NOUN
ap-932	43	4	occurs	occur	VERB
ap-932	43	5	for	for	ADP
ap-932	43	6	k	k	PROPN
ap-932	43	7	a	a	PROPN
ap-932	43	8	(	(	PUNCT
ap-932	43	9	)	)	PUNCT
ap-932	43	10	�	�	PROPN
ap-932	43	11	�	�	PROPN
ap-932	43	12	,	,	PUNCT
ap-932	43	13	i.e.	i.e.	X
ap-932	43	14	for	for	ADP
ap-932	43	15	the	the	DET
ap-932	43	16	free	free	ADJ
ap-932	43	17	motion	motion	NOUN
ap-932	43	18	on	on	ADP
ap-932	43	19	a	a	DET
ap-932	43	20	circle	circle	NOUN
ap-932	43	21	(	(	PUNCT
ap-932	43	22	or	or	CCONJ
ap-932	43	23	an	an	DET
ap-932	43	24	infinite	infinite	ADJ
ap-932	43	25	square	square	ADJ
ap-932	43	26	well	well	NOUN
ap-932	43	27	with	with	ADP
ap-932	43	28	periodic	periodic	ADJ
ap-932	43	29	boundary	boundary	ADJ
ap-932	43	30	conditions	condition	NOUN
ap-932	43	31	)	)	PUNCT
ap-932	43	32	,	,	PUNCT
ap-932	43	33	which	which	PRON
ap-932	43	34	reduces	reduce	VERB
ap-932	43	35	(	(	PUNCT
ap-932	43	36	10	10	NUM
ap-932	43	37	)	)	PUNCT
ap-932	43	38	to	to	ADP
ap-932	43	39	a	a	DET
ap-932	43	40	central	central	ADJ
ap-932	43	41	potential	potential	NOUN
ap-932	43	42	,	,	PUNCT
ap-932	43	43	and	and	CCONJ
ap-932	43	44	takes	take	VERB
ap-932	43	45	the	the	DET
ap-932	43	46	angular	angular	ADJ
ap-932	43	47	wavefunctions	wavefunction	NOUN
ap-932	43	48	�	�	PROPN
ap-932	43	49	�	�	PROPN
ap-932	43	50	�	�	PROPN
ap-932	43	51	(	(	PUNCT
ap-932	43	52	)	)	PUNCT
ap-932	43	53	(	(	PUNCT
ap-932	43	54	)	)	PUNCT
ap-932	43	55	into	into	ADP
ap-932	43	56	spherical	spherical	ADJ
ap-932	43	57	harmonics	harmonic	NOUN
ap-932	43	58	ylm	ylm	PROPN
ap-932	43	59	(	(	PUNCT
ap-932	43	60	,	,	PUNCT
ap-932	43	61	)	)	PUNCT
ap-932	43	62	�	�	PROPN
ap-932	43	63	�	�	PROPN
ap-932	44	1	[	[	X
ap-932	44	2	5	5	NUM
ap-932	44	3	]	]	PUNCT
ap-932	44	4	.	.	PUNCT
ap-932	45	1	exact	exact	ADJ
ap-932	45	2	solutions	solution	NOUN
ap-932	45	3	of	of	ADP
ap-932	45	4	the	the	DET
ap-932	45	5	radial	radial	ADJ
ap-932	45	6	schrödinger	schrödinger	ADJ
ap-932	45	7	equation	equation	NOUN
ap-932	45	8	(	(	PUNCT
ap-932	45	9	9	9	NUM
ap-932	45	10	)	)	PUNCT
ap-932	45	11	are	be	AUX
ap-932	45	12	known	know	VERB
ap-932	45	13	for	for	ADP
ap-932	45	14	the	the	DET
ap-932	45	15	harmonic	harmonic	ADJ
ap-932	45	16	oscillator	oscillator	NOUN
ap-932	45	17	,	,	PUNCT
ap-932	45	18	coulomb	coulomb	NOUN
ap-932	45	19	and	and	CCONJ
ap-932	45	20	square	square	ADJ
ap-932	45	21	well	well	INTJ
ap-932	45	22	potentials	potential	VERB
ap-932	45	23	for	for	ADP
ap-932	45	24	arbitrary	arbitrary	ADJ
ap-932	45	25	value	value	NOUN
ap-932	45	26	of	of	ADP
ap-932	45	27	l	l	NOUN
ap-932	45	28	,	,	PUNCT
ap-932	45	29	while	while	SCONJ
ap-932	45	30	for	for	ADP
ap-932	45	31	l	l	PROPN
ap-932	45	32	�	�	PROPN
ap-932	45	33	0	0	PUNCT
ap-932	45	34	(	(	PUNCT
ap-932	45	35	i.e.	i.e.	X
ap-932	45	36	for	for	ADP
ap-932	45	37	s	s	NOUN
ap-932	45	38	waves	wave	NOUN
ap-932	45	39	)	)	PUNCT
ap-932	45	40	,	,	PUNCT
ap-932	45	41	it	it	PRON
ap-932	45	42	is	be	AUX
ap-932	45	43	solvable	solvable	ADJ
ap-932	45	44	for	for	ADP
ap-932	45	45	many	many	ADJ
ap-932	45	46	more	more	ADJ
ap-932	45	47	potentials	potential	NOUN
ap-932	45	48	.	.	PUNCT
ap-932	46	1	some	some	DET
ap-932	46	2	solutions	solution	NOUN
ap-932	46	3	can	can	AUX
ap-932	46	4	also	also	ADV
ap-932	46	5	be	be	AUX
ap-932	46	6	obtained	obtain	VERB
ap-932	46	7	for	for	ADP
ap-932	46	8	arbitrary	arbitrary	ADJ
ap-932	46	9	l	l	NOUN
ap-932	46	10	for	for	ADP
ap-932	46	11	quasi	quasi	ADJ
ap-932	46	12	-	-	ADJ
ap-932	46	13	exactly	exactly	ADV
ap-932	46	14	solvable	solvable	ADJ
ap-932	46	15	(	(	PUNCT
ap-932	46	16	qes	qes	NOUN
ap-932	46	17	)	)	PUNCT
ap-932	46	18	potentials	potential	VERB
ap-932	46	19	[	[	X
ap-932	46	20	6	6	NUM
ap-932	46	21	]	]	PUNCT
ap-932	46	22	in	in	ADP
ap-932	46	23	the	the	DET
ap-932	46	24	sense	sense	NOUN
ap-932	46	25	that	that	SCONJ
ap-932	46	26	the	the	DET
ap-932	46	27	first	first	ADJ
ap-932	46	28	few	few	ADJ
ap-932	46	29	solutions	solution	NOUN
ap-932	46	30	(	(	PUNCT
ap-932	46	31	up	up	ADP
ap-932	46	32	to	to	ADP
ap-932	46	33	a	a	DET
ap-932	46	34	given	give	VERB
ap-932	46	35	principal	principal	ADJ
ap-932	46	36	quantum	quantum	ADJ
ap-932	46	37	number	number	NOUN
ap-932	46	38	)	)	PUNCT
ap-932	46	39	can	can	AUX
ap-932	46	40	be	be	AUX
ap-932	46	41	determined	determine	VERB
ap-932	46	42	exactly	exactly	ADV
ap-932	46	43	then	then	ADV
ap-932	46	44	.	.	PUNCT
ap-932	47	1	specifying	specify	VERB
ap-932	47	2	(	(	PUNCT
ap-932	47	3	1	1	NUM
ap-932	47	4	)	)	PUNCT
ap-932	47	5	to	to	ADP
ap-932	47	6	d	d	PROPN
ap-932	47	7	�	�	PROPN
ap-932	47	8	2	2	NUM
ap-932	47	9	dimensions	dimension	NOUN
ap-932	47	10	the	the	DET
ap-932	47	11	whole	whole	ADJ
ap-932	47	12	procedure	procedure	NOUN
ap-932	47	13	can	can	AUX
ap-932	47	14	essentially	essentially	ADV
ap-932	47	15	be	be	AUX
ap-932	47	16	repeated	repeat	VERB
ap-932	47	17	.	.	PUNCT
ap-932	48	1	the	the	DET
ap-932	48	2	equivalents	equivalent	NOUN
ap-932	48	3	of	of	ADP
ap-932	48	4	equations	equation	NOUN
ap-932	48	5	(	(	PUNCT
ap-932	48	6	2	2	NUM
ap-932	48	7	)	)	PUNCT
ap-932	48	8	and	and	CCONJ
ap-932	48	9	(	(	PUNCT
ap-932	48	10	3	3	X
ap-932	48	11	)	)	PUNCT
ap-932	48	12	are	be	AUX
ap-932	48	13	then	then	ADV
ap-932	48	14	1	1	NUM
ap-932	48	15	1	1	NUM
ap-932	48	16	02	02	NUM
ap-932	48	17	2	2	NUM
ap-932	48	18	2	2	NUM
ap-932	48	19	�	�	PROPN
ap-932	48	20	�	�	PROPN
ap-932	48	21	�	�	PROPN
ap-932	48	22	�	�	PROPN
ap-932	48	23	�	�	PROPN
ap-932	48	24	�	�	PROPN
ap-932	48	25	�	�	PROPN
ap-932	48	26	�	�	PROPN
ap-932	48	27	�	�	PROPN
ap-932	48	28	�	�	PROPN
ap-932	48	29	�	�	PROPN
ap-932	48	30	�	�	PROPN
ap-932	48	31	�	�	PROPN
ap-932	48	32	�	�	PROPN
ap-932	48	33	�	�	PROPN
ap-932	48	34	�	�	PROPN
ap-932	48	35	�	�	PROPN
ap-932	48	36	�	�	PROPN
ap-932	48	37	�	�	PROPN
ap-932	48	38	�	�	PROPN
ap-932	48	39	�	�	PROPN
ap-932	48	40	�	�	PROPN
ap-932	48	41	v	v	NOUN
ap-932	48	42	e	e	NOUN
ap-932	48	43	(	(	PUNCT
ap-932	48	44	,	,	PUNCT
ap-932	48	45	)	)	PUNCT
ap-932	48	46	(	(	PUNCT
ap-932	48	47	11	11	NUM
ap-932	48	48	)	)	PUNCT
ap-932	48	49	and	and	CCONJ
ap-932	48	50	�	�	PROPN
ap-932	48	51	�	�	PROPN
ap-932	48	52	�	�	PROPN
ap-932	48	53	�	�	PROPN
ap-932	48	54	(	(	PUNCT
ap-932	48	55	,	,	PUNCT
ap-932	48	56	)	)	PUNCT
ap-932	48	57	(	(	PUNCT
ap-932	48	58	)	)	PUNCT
ap-932	48	59	(	(	PUNCT
ap-932	48	60	)	)	PUNCT
ap-932	48	61	�	�	PROPN
ap-932	48	62	�	�	PROPN
ap-932	48	63	1	1	NUM
ap-932	48	64	2	2	NUM
ap-932	48	65	(	(	PUNCT
ap-932	48	66	12	12	NUM
ap-932	48	67	)	)	PUNCT
ap-932	48	68	the	the	DET
ap-932	48	69	separation	separation	NOUN
ap-932	48	70	of	of	ADP
ap-932	48	71	the	the	DET
ap-932	48	72	angular	angular	ADJ
ap-932	48	73	variable	variable	ADJ
ap-932	48	74	�	�	PROPN
ap-932	48	75	is	be	AUX
ap-932	48	76	again	again	ADV
ap-932	48	77	possible	possible	ADJ
ap-932	48	78	if	if	SCONJ
ap-932	48	79	(	(	PUNCT
ap-932	48	80	6	6	NUM
ap-932	48	81	)	)	PUNCT
ap-932	48	82	holds	hold	NOUN
ap-932	48	83	,	,	PUNCT
ap-932	48	84	and	and	CCONJ
ap-932	48	85	the	the	DET
ap-932	48	86	solutions	solution	NOUN
ap-932	48	87	are	be	AUX
ap-932	48	88	required	require	VERB
ap-932	48	89	to	to	PART
ap-932	48	90	satisfy	satisfy	VERB
ap-932	48	91	periodic	periodic	ADJ
ap-932	48	92	boundary	boundary	ADJ
ap-932	48	93	conditions	condition	NOUN
ap-932	48	94	.	.	PUNCT
ap-932	49	1	the	the	DET
ap-932	49	2	radial	radial	ADJ
ap-932	49	3	schrödinger	schrödinger	ADJ
ap-932	49	4	equation	equation	NOUN
ap-932	49	5	is	be	AUX
ap-932	49	6	now	now	ADV
ap-932	49	7	�	�	PROPN
ap-932	49	8	�	�	PROPN
ap-932	49	9	�	�	PROPN
ap-932	49	10	�	�	PROPN
ap-932	49	11	�	�	PROPN
ap-932	49	12	�	�	PROPN
ap-932	49	13	�	�	PROPN
ap-932	49	14	�	�	PROPN
ap-932	49	15	�	�	PROPN
ap-932	49	16	�	�	PROPN
ap-932	49	17	�	�	PROPN
ap-932	49	18	�	�	PROPN
ap-932	49	19	�	�	PROPN
ap-932	49	20	�	�	PROPN
ap-932	49	21	�	�	PROPN
ap-932	49	22	�	�	PROPN
ap-932	49	23	�	�	PROPN
ap-932	49	24	�	�	PROPN
ap-932	49	25	�	�	PROPN
ap-932	49	26	�	�	PROPN
ap-932	49	27	�	�	PROPN
ap-932	49	28	v	v	PROPN
ap-932	49	29	k	k	PROPN
ap-932	49	30	e0	e0	PROPN
ap-932	49	31	2	2	NUM
ap-932	49	32	1	1	NUM
ap-932	49	33	4	4	NUM
ap-932	49	34	1	1	NUM
ap-932	49	35	0	0	NUM
ap-932	49	36	(	(	PUNCT
ap-932	49	37	)	)	PUNCT
ap-932	49	38	,	,	PUNCT
ap-932	49	39	(	(	PUNCT
ap-932	49	40	13	13	NUM
ap-932	49	41	)	)	PUNCT
ap-932	49	42	where	where	SCONJ
ap-932	49	43	v	v	NOUN
ap-932	49	44	v	v	X
ap-932	49	45	k	k	NOUN
ap-932	49	46	(	(	PUNCT
ap-932	49	47	,	,	PUNCT
ap-932	49	48	)	)	PUNCT
ap-932	49	49	(	(	PUNCT
ap-932	49	50	)	)	PUNCT
ap-932	49	51	(	(	PUNCT
ap-932	49	52	)	)	PUNCT
ap-932	49	53	�	�	PROPN
ap-932	49	54	�	�	PROPN
ap-932	49	55	�	�	PROPN
ap-932	49	56	�	�	PROPN
ap-932	49	57	0	0	NUM
ap-932	49	58	2	2	NUM
ap-932	49	59	1	1	NUM
ap-932	49	60	.	.	PUNCT
ap-932	50	1	(	(	PUNCT
ap-932	50	2	14	14	NUM
ap-932	50	3	)	)	PUNCT
ap-932	50	4	equation	equation	NOUN
ap-932	50	5	(	(	PUNCT
ap-932	50	6	13	13	NUM
ap-932	50	7	)	)	PUNCT
ap-932	50	8	can	can	AUX
ap-932	50	9	be	be	AUX
ap-932	50	10	solved	solve	VERB
ap-932	50	11	exactly	exactly	ADV
ap-932	50	12	for	for	ADP
ap-932	50	13	the	the	DET
ap-932	50	14	same	same	ADJ
ap-932	50	15	potentials	potential	NOUN
ap-932	50	16	as	as	ADP
ap-932	50	17	in	in	ADP
ap-932	50	18	three	three	NUM
ap-932	50	19	dimensions	dimension	NOUN
ap-932	50	20	.	.	PUNCT
ap-932	51	1	3	3	NUM
ap-932	51	2	non	non	ADJ
ap-932	51	3	-	-	ADJ
ap-932	51	4	central	central	ADJ
ap-932	51	5	�	�	PROPN
ap-932	51	6	�	�	NOUN
ap-932	51	7	-symmetric	-symmetric	NOUN
ap-932	51	8	potentials	potential	NOUN
ap-932	51	9	let	let	VERB
ap-932	51	10	us	we	PRON
ap-932	51	11	now	now	ADV
ap-932	51	12	specify	specify	VERB
ap-932	51	13	the	the	DET
ap-932	51	14	procedure	procedure	NOUN
ap-932	51	15	outlined	outline	VERB
ap-932	51	16	in	in	ADP
ap-932	51	17	the	the	DET
ap-932	51	18	previous	previous	ADJ
ap-932	51	19	section	section	NOUN
ap-932	51	20	to	to	ADP
ap-932	51	21	�	�	PROPN
ap-932	51	22	�	�	PROPN
ap-932	51	23	-symmetric	-symmetric	ADJ
ap-932	51	24	potentials	potential	NOUN
ap-932	51	25	.	.	PUNCT
ap-932	52	1	since	since	SCONJ
ap-932	52	2	the	the	DET
ap-932	52	3	kinetic	kinetic	ADJ
ap-932	52	4	term	term	NOUN
ap-932	52	5	in	in	ADP
ap-932	52	6	(	(	PUNCT
ap-932	52	7	1	1	X
ap-932	52	8	)	)	PUNCT
ap-932	52	9	is	be	AUX
ap-932	52	10	�	�	PROPN
ap-932	52	11	�	�	NOUN
ap-932	52	12	-symmetric	-symmetric	NOUN
ap-932	52	13	,	,	PUNCT
ap-932	52	14	we	we	PRON
ap-932	52	15	have	have	VERB
ap-932	52	16	to	to	PART
ap-932	52	17	take	take	VERB
ap-932	52	18	care	care	NOUN
ap-932	52	19	separately	separately	ADV
ap-932	52	20	only	only	ADV
ap-932	52	21	of	of	ADP
ap-932	52	22	the	the	DET
ap-932	52	23	�	�	PROPN
ap-932	52	24	�	�	PROPN
ap-932	52	25	symmetry	symmetry	NOUN
ap-932	52	26	of	of	ADP
ap-932	52	27	the	the	DET
ap-932	52	28	potential	potential	ADJ
ap-932	52	29	term	term	NOUN
ap-932	52	30	.	.	PUNCT
ap-932	53	1	the	the	DET
ap-932	53	2	effect	effect	NOUN
ap-932	53	3	of	of	ADP
ap-932	53	4	the	the	DET
ap-932	53	5	�	�	PROPN
ap-932	53	6	operation	operation	NOUN
ap-932	53	7	is	be	AUX
ap-932	53	8	�	�	NOUN
ap-932	53	9	:	:	PUNCT
ap-932	53	10	r	r	NOUN
ap-932	53	11	r	r	PROPN
ap-932	53	12	�	�	PROPN
ap-932	53	13	�	�	PROPN
ap-932	53	14	,	,	PUNCT
ap-932	53	15	so	so	ADV
ap-932	53	16	the	the	DET
ap-932	53	17	condition	condition	NOUN
ap-932	53	18	for	for	ADP
ap-932	53	19	the	the	DET
ap-932	53	20	�	�	PROPN
ap-932	53	21	�	�	PROPN
ap-932	53	22	symmetry	symmetry	NOUN
ap-932	53	23	of	of	ADP
ap-932	53	24	a	a	DET
ap-932	53	25	general	general	ADJ
ap-932	53	26	potential	potential	NOUN
ap-932	53	27	in	in	ADP
ap-932	53	28	d	d	PROPN
ap-932	53	29	�	�	PROPN
ap-932	53	30	3	3	NUM
ap-932	53	31	dimensions	dimension	NOUN
ap-932	53	32	is	be	AUX
ap-932	53	33	v	v	ADP
ap-932	53	34	r	r	NOUN
ap-932	53	35	v	v	NOUN
ap-932	53	36	r	r	NOUN
ap-932	53	37	(	(	PUNCT
ap-932	53	38	,	,	PUNCT
ap-932	53	39	,	,	PUNCT
ap-932	53	40	)	)	PUNCT
ap-932	53	41	(	(	PUNCT
ap-932	53	42	,	,	PUNCT
ap-932	53	43	,	,	PUNCT
ap-932	53	44	)	)	PUNCT
ap-932	53	45	*	*	PUNCT
ap-932	53	46	�	�	PROPN
ap-932	53	47	�	�	PROPN
ap-932	53	48	�	�	PROPN
ap-932	53	49	�	�	PROPN
ap-932	53	50	�	�	PROPN
ap-932	53	51	�	�	PROPN
ap-932	53	52	�	�	PROPN
ap-932	53	53	.	.	PUNCT
ap-932	54	1	(	(	PUNCT
ap-932	54	2	15	15	X
ap-932	54	3	)	)	PUNCT
ap-932	54	4	it	it	PRON
ap-932	54	5	is	be	AUX
ap-932	54	6	obvious	obvious	ADJ
ap-932	54	7	that	that	SCONJ
ap-932	54	8	central	central	ADJ
ap-932	54	9	potentialsv	potentialsv	NOUN
ap-932	54	10	v	v	ADP
ap-932	54	11	v	v	NOUN
ap-932	54	12	r	r	NOUN
ap-932	54	13	(	(	PUNCT
ap-932	54	14	)	)	PUNCT
ap-932	54	15	(	(	PUNCT
ap-932	54	16	)	)	PUNCT
ap-932	54	17	(	(	PUNCT
ap-932	54	18	)	)	PUNCT
ap-932	54	19	r	r	NOUN
ap-932	54	20	r	r	PROPN
ap-932	54	21	�	�	PROPN
ap-932	54	22	�	�	PROPN
ap-932	54	23	can	can	AUX
ap-932	54	24	be	be	AUX
ap-932	54	25	�	�	NOUN
ap-932	54	26	�	�	NOUN
ap-932	54	27	-symmetric	-symmetric	NOUN
ap-932	54	28	only	only	ADV
ap-932	54	29	if	if	SCONJ
ap-932	54	30	they	they	PRON
ap-932	54	31	are	be	AUX
ap-932	54	32	real	real	ADJ
ap-932	54	33	:	:	PUNCT
ap-932	54	34	v	v	NUM
ap-932	54	35	r	r	NOUN
ap-932	54	36	v	v	NOUN
ap-932	54	37	r	r	NOUN
ap-932	54	38	(	(	PUNCT
ap-932	54	39	)	)	PUNCT
ap-932	54	40	(	(	PUNCT
ap-932	54	41	)	)	PUNCT
ap-932	54	42	*	*	PUNCT
ap-932	54	43	�	�	PROPN
ap-932	54	44	,	,	PUNCT
ap-932	54	45	so	so	ADV
ap-932	54	46	the	the	DET
ap-932	54	47	angular	angular	ADJ
ap-932	54	48	variables	variable	NOUN
ap-932	54	49	play	play	VERB
ap-932	54	50	an	an	DET
ap-932	54	51	essential	essential	ADJ
ap-932	54	52	role	role	NOUN
ap-932	54	53	in	in	ADP
ap-932	54	54	introducing	introduce	VERB
ap-932	54	55	an	an	DET
ap-932	54	56	imaginary	imaginary	ADJ
ap-932	54	57	potential	potential	ADJ
ap-932	54	58	component	component	NOUN
ap-932	54	59	.	.	PUNCT
ap-932	55	1	applying	apply	VERB
ap-932	55	2	condition	condition	NOUN
ap-932	55	3	(	(	PUNCT
ap-932	55	4	15	15	NUM
ap-932	55	5	)	)	PUNCT
ap-932	55	6	to	to	ADP
ap-932	55	7	the	the	DET
ap-932	55	8	general	general	ADJ
ap-932	55	9	potential	potential	ADJ
ap-932	55	10	form	form	NOUN
ap-932	55	11	(	(	PUNCT
ap-932	55	12	10	10	NUM
ap-932	55	13	)	)	PUNCT
ap-932	55	14	,	,	PUNCT
ap-932	55	15	the	the	DET
ap-932	55	16	prescriptions	prescription	NOUN
ap-932	55	17	v	v	ADP
ap-932	55	18	r	r	NOUN
ap-932	55	19	v	v	NOUN
ap-932	55	20	r0	r0	NOUN
ap-932	55	21	0	0	PUNCT
ap-932	56	1	*	*	PUNCT
ap-932	56	2	(	(	PUNCT
ap-932	56	3	)	)	PUNCT
ap-932	56	4	(	(	PUNCT
ap-932	56	5	)	)	PUNCT
ap-932	56	6	�	�	PROPN
ap-932	56	7	,	,	PUNCT
ap-932	56	8	k	k	PROPN
ap-932	56	9	k	k	PROPN
ap-932	56	10	*	*	PUNCT
ap-932	56	11	(	(	PUNCT
ap-932	56	12	)	)	PUNCT
ap-932	56	13	(	(	PUNCT
ap-932	56	14	)	)	PUNCT
ap-932	56	15	�	�	PROPN
ap-932	56	16	�	�	PROPN
ap-932	56	17	�	�	PROPN
ap-932	56	18	�	�	PROPN
ap-932	56	19	,	,	PUNCT
ap-932	56	20	k	k	PROPN
ap-932	56	21	k	k	PROPN
ap-932	56	22	*	*	PUNCT
ap-932	56	23	�	�	PROPN
ap-932	56	24	(	(	PUNCT
ap-932	56	25	16	16	NUM
ap-932	56	26	)	)	PUNCT
ap-932	56	27	are	be	AUX
ap-932	56	28	obtained	obtain	VERB
ap-932	56	29	,	,	PUNCT
ap-932	56	30	i.e.	i.e.	X
ap-932	56	31	v0	v0	NOUN
ap-932	56	32	(	(	PUNCT
ap-932	56	33	)	)	PUNCT
ap-932	56	34	is	be	AUX
ap-932	56	35	real	real	ADJ
ap-932	56	36	,	,	PUNCT
ap-932	56	37	k	k	PROPN
ap-932	56	38	(	(	PUNCT
ap-932	56	39	)	)	PUNCT
ap-932	56	40	�	�	PROPN
ap-932	56	41	is	be	AUX
ap-932	56	42	�	�	NOUN
ap-932	56	43	�	�	NOUN
ap-932	56	44	-symmetric	-symmetric	NOUN
ap-932	56	45	and	and	CCONJ
ap-932	56	46	the	the	DET
ap-932	56	47	eigenvalue	eigenvalue	NOUN
ap-932	56	48	of	of	ADP
ap-932	56	49	equation	equation	NOUN
ap-932	56	50	(	(	PUNCT
ap-932	56	51	6	6	NUM
ap-932	56	52	)	)	PUNCT
ap-932	56	53	is	be	AUX
ap-932	56	54	real	real	ADJ
ap-932	56	55	.	.	PUNCT
ap-932	57	1	note	note	VERB
ap-932	57	2	that	that	SCONJ
ap-932	57	3	the	the	DET
ap-932	57	4	reality	reality	NOUN
ap-932	57	5	of	of	ADP
ap-932	57	6	the	the	DET
ap-932	57	7	potentialv	potentialv	PROPN
ap-932	57	8	r0	r0	NOUN
ap-932	57	9	(	(	PUNCT
ap-932	57	10	)	)	PUNCT
ap-932	57	11	implies	imply	VERB
ap-932	57	12	that	that	SCONJ
ap-932	57	13	(	(	PUNCT
ap-932	57	14	9	9	X
ap-932	57	15	)	)	PUNCT
ap-932	57	16	has	have	VERB
ap-932	57	17	the	the	DET
ap-932	57	18	same	same	ADJ
ap-932	57	19	form	form	NOUN
ap-932	57	20	as	as	ADP
ap-932	57	21	the	the	DET
ap-932	57	22	radial	radial	ADJ
ap-932	57	23	schrödinger	schrödinger	ADJ
ap-932	57	24	equation	equation	NOUN
ap-932	57	25	of	of	ADP
ap-932	57	26	a	a	DET
ap-932	57	27	centrally	centrally	ADV
ap-932	57	28	symmetric	symmetric	ADJ
ap-932	57	29	self	self	NOUN
ap-932	57	30	-	-	PUNCT
ap-932	57	31	adjoint	adjoint	NOUN
ap-932	57	32	quantum	quantum	NOUN
ap-932	57	33	system	system	NOUN
ap-932	57	34	,	,	PUNCT
ap-932	57	35	therefore	therefore	ADV
ap-932	57	36	the	the	DET
ap-932	57	37	eigenvalues	eigenvalue	NOUN
ap-932	57	38	e	e	NOUN
ap-932	57	39	also	also	ADV
ap-932	57	40	have	have	VERB
ap-932	57	41	to	to	PART
ap-932	57	42	come	come	VERB
ap-932	57	43	out	out	ADP
ap-932	57	44	real	real	ADJ
ap-932	57	45	.	.	PUNCT
ap-932	58	1	this	this	PRON
ap-932	58	2	means	mean	VERB
ap-932	58	3	that	that	SCONJ
ap-932	58	4	the	the	DET
ap-932	58	5	spontaneous	spontaneous	ADJ
ap-932	58	6	breakdown	breakdown	NOUN
ap-932	58	7	©	©	PROPN
ap-932	58	8	czech	czech	PROPN
ap-932	58	9	technical	technical	PROPN
ap-932	58	10	university	university	PROPN
ap-932	58	11	publishing	publishing	NOUN
ap-932	58	12	house	house	NOUN
ap-932	58	13	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-932	58	14	41	41	NUM
ap-932	58	15	acta	acta	PROPN
ap-932	58	16	polytechnica	polytechnica	PROPN
ap-932	58	17	vol	vol	NOUN
ap-932	58	18	.	.	PUNCT
ap-932	59	1	47	47	NUM
ap-932	59	2	no	no	NOUN
ap-932	59	3	.	.	PUNCT
ap-932	60	1	2–3/2007	2–3/2007	NUM
ap-932	60	2	of	of	ADP
ap-932	60	3	�	�	PROPN
ap-932	60	4	�	�	PROPN
ap-932	60	5	symmetry	symmetry	NOUN
ap-932	60	6	can	can	AUX
ap-932	60	7	not	not	PART
ap-932	60	8	be	be	AUX
ap-932	60	9	implemented	implement	VERB
ap-932	60	10	in	in	ADP
ap-932	60	11	the	the	DET
ap-932	60	12	present	present	ADJ
ap-932	60	13	approach	approach	NOUN
ap-932	60	14	for	for	ADP
ap-932	60	15	non	non	ADJ
ap-932	60	16	-	-	ADJ
ap-932	60	17	central	central	ADJ
ap-932	60	18	potentials	potential	NOUN
ap-932	60	19	in	in	ADP
ap-932	60	20	d	d	PROPN
ap-932	60	21	�	�	PROPN
ap-932	60	22	3	3	NUM
ap-932	60	23	dimensions	dimension	NOUN
ap-932	60	24	.	.	PUNCT
ap-932	61	1	according	accord	VERB
ap-932	61	2	to	to	ADP
ap-932	61	3	(	(	PUNCT
ap-932	61	4	15	15	NUM
ap-932	61	5	)	)	PUNCT
ap-932	61	6	the	the	DET
ap-932	61	7	�	�	PROPN
ap-932	61	8	operator	operator	NOUN
ap-932	61	9	can	can	AUX
ap-932	61	10	be	be	AUX
ap-932	61	11	factorized	factorize	VERB
ap-932	61	12	as	as	ADP
ap-932	61	13	�	�	PROPN
ap-932	61	14	�	�	PROPN
ap-932	61	15	�	�	PROPN
ap-932	61	16	�	�	PROPN
ap-932	61	17	�	�	PROPN
ap-932	61	18	r	r	PROPN
ap-932	61	19	�	�	PROPN
ap-932	61	20	�	�	PROPN
ap-932	61	21	,	,	PUNCT
ap-932	61	22	(	(	PUNCT
ap-932	61	23	where	where	SCONJ
ap-932	61	24	,	,	PUNCT
ap-932	61	25	obviously	obviously	ADV
ap-932	61	26	,	,	PUNCT
ap-932	61	27	�	�	PROPN
ap-932	61	28	r	r	NOUN
ap-932	61	29	�	�	NOUN
ap-932	61	30	1	1	NUM
ap-932	61	31	)	)	PUNCT
ap-932	61	32	,	,	PUNCT
ap-932	61	33	so	so	CCONJ
ap-932	61	34	the	the	DET
ap-932	61	35	�	�	PROPN
ap-932	61	36	�	�	PROPN
ap-932	61	37	transformation	transformation	NOUN
ap-932	61	38	properties	property	NOUN
ap-932	61	39	of	of	ADP
ap-932	61	40	the	the	DET
ap-932	61	41	functions	function	NOUN
ap-932	61	42	�	�	PROPN
ap-932	61	43	(	(	PUNCT
ap-932	61	44	r	r	NOUN
ap-932	61	45	)	)	PUNCT
ap-932	61	46	,	,	PUNCT
ap-932	61	47	�	�	PROPN
ap-932	61	48	(	(	PUNCT
ap-932	61	49	�	�	PROPN
ap-932	61	50	)	)	PUNCT
ap-932	61	51	and	and	CCONJ
ap-932	61	52	(	(	PUNCT
ap-932	61	53	�	�	PROPN
ap-932	61	54	)	)	PUNCT
ap-932	61	55	can	can	AUX
ap-932	61	56	also	also	ADV
ap-932	61	57	be	be	AUX
ap-932	61	58	studied	study	VERB
ap-932	61	59	.	.	PUNCT
ap-932	62	1	due	due	ADP
ap-932	62	2	to	to	ADP
ap-932	62	3	the	the	DET
ap-932	62	4	arguments	argument	NOUN
ap-932	62	5	concerning	concern	VERB
ap-932	62	6	(	(	PUNCT
ap-932	62	7	9	9	NUM
ap-932	62	8	)	)	PUNCT
ap-932	62	9	above	above	ADV
ap-932	62	10	,	,	PUNCT
ap-932	62	11	�	�	PROPN
ap-932	62	12	(	(	PUNCT
ap-932	62	13	r	r	NOUN
ap-932	62	14	)	)	PUNCT
ap-932	62	15	can	can	AUX
ap-932	62	16	be	be	AUX
ap-932	62	17	chosen	choose	VERB
ap-932	62	18	real	real	ADJ
ap-932	62	19	,	,	PUNCT
ap-932	62	20	and	and	CCONJ
ap-932	62	21	in	in	ADP
ap-932	62	22	this	this	DET
ap-932	62	23	case	case	NOUN
ap-932	62	24	it	it	PRON
ap-932	62	25	obviously	obviously	ADV
ap-932	62	26	satisfies	satisfy	VERB
ap-932	62	27	�	�	PROPN
ap-932	62	28	�	�	PROPN
ap-932	62	29	r	r	NOUN
ap-932	62	30	r	r	NOUN
ap-932	62	31	r	r	PROPN
ap-932	62	32	�	�	PROPN
ap-932	62	33	�	�	PROPN
ap-932	62	34	(	(	PUNCT
ap-932	62	35	)	)	PUNCT
ap-932	62	36	(	(	PUNCT
ap-932	62	37	)	)	PUNCT
ap-932	62	38	�	�	PROPN
ap-932	62	39	.	.	PUNCT
ap-932	63	1	introducing	introduce	VERB
ap-932	63	2	an	an	DET
ap-932	63	3	extra	extra	ADJ
ap-932	63	4	phase	phase	NOUN
ap-932	63	5	factor	factor	NOUN
ap-932	63	6	il	il	PROPN
ap-932	63	7	in	in	ADP
ap-932	63	8	(	(	PUNCT
ap-932	63	9	8)	8)	NUM
ap-932	63	10	,	,	PUNCT
ap-932	63	11	it	it	PRON
ap-932	63	12	is	be	AUX
ap-932	63	13	possible	possible	ADJ
ap-932	63	14	to	to	PART
ap-932	63	15	make	make	VERB
ap-932	63	16	�	�	PROPN
ap-932	63	17	(	(	PUNCT
ap-932	63	18	�	�	PROPN
ap-932	63	19	)	)	PUNCT
ap-932	63	20	the	the	DET
ap-932	63	21	eigenfunction	eigenfunction	NOUN
ap-932	63	22	of	of	ADP
ap-932	63	23	the	the	DET
ap-932	63	24	�	�	PROPN
ap-932	63	25	�	�	PROPN
ap-932	63	26	�	�	PROPN
ap-932	63	27	operator	operator	NOUN
ap-932	63	28	with	with	ADP
ap-932	63	29	eigenvalue	eigenvalue	PROPN
ap-932	63	30	1	1	NUM
ap-932	63	31	.	.	PUNCT
ap-932	64	1	a	a	DET
ap-932	64	2	similar	similar	ADJ
ap-932	64	3	procedure	procedure	NOUN
ap-932	64	4	also	also	ADV
ap-932	64	5	has	have	VERB
ap-932	64	6	to	to	PART
ap-932	64	7	be	be	AUX
ap-932	64	8	applied	apply	VERB
ap-932	64	9	to	to	ADP
ap-932	64	10	the	the	DET
ap-932	64	11	(	(	PUNCT
ap-932	64	12	�	�	NOUN
ap-932	64	13	)	)	PUNCT
ap-932	64	14	functions	function	NOUN
ap-932	64	15	and	and	CCONJ
ap-932	64	16	the	the	DET
ap-932	64	17	�	�	PROPN
ap-932	64	18	�	�	PROPN
ap-932	64	19	operator	operator	NOUN
ap-932	64	20	,	,	PUNCT
ap-932	64	21	but	but	CCONJ
ap-932	64	22	this	this	PRON
ap-932	64	23	can	can	AUX
ap-932	64	24	be	be	AUX
ap-932	64	25	done	do	VERB
ap-932	64	26	only	only	ADV
ap-932	64	27	in	in	ADP
ap-932	64	28	the	the	DET
ap-932	64	29	exact	exact	ADJ
ap-932	64	30	knowledge	knowledge	NOUN
ap-932	64	31	of	of	ADP
ap-932	64	32	the	the	DET
ap-932	64	33	k	k	PROPN
ap-932	64	34	(	(	PUNCT
ap-932	64	35	�	�	NOUN
ap-932	64	36	)	)	PUNCT
ap-932	64	37	function	function	NOUN
ap-932	64	38	.	.	PUNCT
ap-932	65	1	this	this	PRON
ap-932	65	2	guarantees	guarantee	VERB
ap-932	65	3	that	that	SCONJ
ap-932	65	4	the	the	DET
ap-932	65	5	full	full	ADJ
ap-932	65	6	wavefunction	wavefunction	NOUN
ap-932	65	7	�	�	PROPN
ap-932	65	8	(	(	PUNCT
ap-932	65	9	r	r	PROPN
ap-932	65	10	,	,	PUNCT
ap-932	65	11	�	�	PROPN
ap-932	65	12	,	,	PUNCT
ap-932	65	13	�	�	PROPN
ap-932	65	14	)	)	PUNCT
ap-932	65	15	(	(	PUNCT
ap-932	65	16	3	3	X
ap-932	65	17	)	)	PUNCT
ap-932	65	18	is	be	AUX
ap-932	65	19	also	also	ADV
ap-932	65	20	the	the	DET
ap-932	65	21	eigenfunction	eigenfunction	NOUN
ap-932	65	22	of	of	ADP
ap-932	65	23	the	the	DET
ap-932	65	24	�	�	PROPN
ap-932	65	25	�	�	PROPN
ap-932	65	26	operator	operator	NOUN
ap-932	65	27	with	with	ADP
ap-932	65	28	unit	unit	NOUN
ap-932	65	29	eigenvalue	eigenvalue	NOUN
ap-932	65	30	.	.	PUNCT
ap-932	66	1	these	these	DET
ap-932	66	2	phase	phase	NOUN
ap-932	66	3	choices	choice	NOUN
ap-932	66	4	are	be	AUX
ap-932	66	5	also	also	ADV
ap-932	66	6	reflected	reflect	VERB
ap-932	66	7	in	in	ADP
ap-932	66	8	the	the	DET
ap-932	66	9	sign	sign	NOUN
ap-932	66	10	of	of	ADP
ap-932	66	11	the	the	DET
ap-932	66	12	pseudo	pseudo	NOUN
ap-932	66	13	-	-	NOUN
ap-932	66	14	norm	norm	NOUN
ap-932	66	15	of	of	ADP
ap-932	66	16	the	the	DET
ap-932	66	17	eigenstates	eigenstates	PROPN
ap-932	66	18	�	�	PROPN
ap-932	66	19	(	(	PUNCT
ap-932	66	20	r	r	NOUN
ap-932	66	21	,	,	PUNCT
ap-932	66	22	�	�	PROPN
ap-932	66	23	,	,	PUNCT
ap-932	66	24	�	�	PROPN
ap-932	66	25	)	)	PUNCT
ap-932	66	26	,	,	PUNCT
ap-932	66	27	since	since	SCONJ
ap-932	66	28	�	�	PROPN
ap-932	66	29	�	�	PROPN
ap-932	66	30	�	�	PROPN
ap-932	66	31	can	can	AUX
ap-932	66	32	be	be	AUX
ap-932	66	33	determined	determine	VERB
ap-932	66	34	by	by	ADP
ap-932	66	35	the	the	DET
ap-932	66	36	inner	inner	ADJ
ap-932	66	37	products	product	NOUN
ap-932	66	38	calculated	calculate	VERB
ap-932	66	39	with	with	ADP
ap-932	66	40	the	the	DET
ap-932	66	41	constituent	constituent	NOUN
ap-932	66	42	functions	function	NOUN
ap-932	66	43	�	�	NOUN
ap-932	66	44	(	(	PUNCT
ap-932	66	45	r	r	NOUN
ap-932	66	46	)	)	PUNCT
ap-932	66	47	,	,	PUNCT
ap-932	66	48	�	�	PROPN
ap-932	66	49	(	(	PUNCT
ap-932	66	50	�	�	PROPN
ap-932	66	51	)	)	PUNCT
ap-932	66	52	and	and	CCONJ
ap-932	66	53	(	(	PUNCT
ap-932	66	54	�	�	PROPN
ap-932	66	55	)	)	PUNCT
ap-932	66	56	,	,	PUNCT
ap-932	66	57	using	use	VERB
ap-932	66	58	the	the	DET
ap-932	66	59	appropriate	appropriate	ADJ
ap-932	66	60	�	�	NOUN
ap-932	67	1	i	i	PRON
ap-932	67	2	(	(	PUNCT
ap-932	67	3	i	i	NOUN
ap-932	67	4	r	r	PROPN
ap-932	67	5	�	�	PROPN
ap-932	67	6	,	,	PUNCT
ap-932	67	7	�	�	PROPN
ap-932	67	8	,	,	PUNCT
ap-932	67	9	�	�	PROPN
ap-932	67	10	)	)	PUNCT
ap-932	67	11	operators	operator	NOUN
ap-932	67	12	.	.	PUNCT
ap-932	68	1	obviously	obviously	ADV
ap-932	68	2	,	,	PUNCT
ap-932	68	3	the	the	DET
ap-932	68	4	contribution	contribution	NOUN
ap-932	68	5	of	of	ADP
ap-932	68	6	the	the	DET
ap-932	68	7	radial	radial	ADJ
ap-932	68	8	component	component	NOUN
ap-932	68	9	will	will	AUX
ap-932	68	10	be	be	AUX
ap-932	68	11	1	1	NUM
ap-932	68	12	,	,	PUNCT
ap-932	68	13	while	while	SCONJ
ap-932	68	14	it	it	PRON
ap-932	68	15	can	can	AUX
ap-932	68	16	be	be	AUX
ap-932	68	17	shown	show	VERB
ap-932	68	18	that	that	SCONJ
ap-932	68	19	with	with	ADP
ap-932	68	20	the	the	DET
ap-932	68	21	phase	phase	NOUN
ap-932	68	22	convention	convention	NOUN
ap-932	68	23	described	describe	VERB
ap-932	68	24	above	above	ADP
ap-932	68	25	,	,	PUNCT
ap-932	68	26	�	�	PROPN
ap-932	68	27	�	�	PROPN
ap-932	68	28	�	�	PROPN
ap-932	68	29	�	�	PROPN
ap-932	68	30	�	�	PROPN
ap-932	68	31	�	�	PROPN
ap-932	68	32	�	�	PROPN
ap-932	68	33	(	(	PUNCT
ap-932	68	34	)	)	PUNCT
ap-932	68	35	1	1	NUM
ap-932	68	36	l	l	NOUN
ap-932	69	1	m	m	NOUN
ap-932	69	2	holds	hold	VERB
ap-932	69	3	.	.	PUNCT
ap-932	70	1	although	although	SCONJ
ap-932	70	2	the	the	DET
ap-932	70	3	corresponding	corresponding	ADJ
ap-932	70	4	inner	inner	ADJ
ap-932	70	5	product	product	NOUN
ap-932	70	6	for	for	ADP
ap-932	70	7	the	the	DET
ap-932	70	8	(	(	PUNCT
ap-932	70	9	�	�	NOUN
ap-932	70	10	)	)	PUNCT
ap-932	70	11	functions	function	NOUN
ap-932	70	12	can	can	AUX
ap-932	70	13	be	be	AUX
ap-932	70	14	evaluated	evaluate	VERB
ap-932	70	15	only	only	ADV
ap-932	70	16	in	in	ADP
ap-932	70	17	the	the	DET
ap-932	70	18	knowledge	knowledge	NOUN
ap-932	70	19	of	of	ADP
ap-932	70	20	k	k	PROPN
ap-932	70	21	(	(	PUNCT
ap-932	70	22	�	�	PROPN
ap-932	70	23	)	)	PUNCT
ap-932	70	24	,	,	PUNCT
ap-932	70	25	similar	similar	ADJ
ap-932	70	26	inner	inner	ADJ
ap-932	70	27	products	product	NOUN
ap-932	70	28	are	be	AUX
ap-932	70	29	known	know	VERB
ap-932	70	30	to	to	PART
ap-932	70	31	exhibit	exhibit	VERB
ap-932	70	32	oscillatory	oscillatory	ADJ
ap-932	70	33	behaviour	behaviour	NOUN
ap-932	70	34	(	(	PUNCT
ap-932	70	35	�	�	PROPN
ap-932	70	36	1)n	1)n	NUM
ap-932	70	37	with	with	ADP
ap-932	70	38	respect	respect	NOUN
ap-932	70	39	to	to	ADP
ap-932	70	40	the	the	DET
ap-932	70	41	principal	principal	ADJ
ap-932	70	42	quantum	quantum	ADJ
ap-932	70	43	number	number	NOUN
ap-932	70	44	for	for	ADP
ap-932	70	45	wide	wide	ADJ
ap-932	70	46	classes	class	NOUN
ap-932	70	47	of	of	ADP
ap-932	70	48	�	�	PROPN
ap-932	70	49	�	�	NOUN
ap-932	70	50	-symmetric	-symmetric	NOUN
ap-932	70	51	potentials	potential	NOUN
ap-932	70	52	with	with	ADP
ap-932	70	53	infinite	infinite	ADJ
ap-932	70	54	number	number	NOUN
ap-932	70	55	of	of	ADP
ap-932	70	56	eigenstates	eigenstate	NOUN
ap-932	70	57	[	[	X
ap-932	70	58	7	7	NUM
ap-932	70	59	]	]	PUNCT
ap-932	70	60	,	,	PUNCT
ap-932	70	61	[	[	X
ap-932	70	62	8	8	NUM
ap-932	70	63	]	]	PUNCT
ap-932	70	64	,	,	PUNCT
ap-932	71	1	[	[	X
ap-932	71	2	9	9	NUM
ap-932	71	3	]	]	PUNCT
ap-932	71	4	.	.	PUNCT
ap-932	72	1	(	(	PUNCT
ap-932	72	2	note	note	VERB
ap-932	72	3	that	that	SCONJ
ap-932	72	4	for	for	ADP
ap-932	72	5	some	some	DET
ap-932	72	6	potentials	potential	NOUN
ap-932	72	7	with	with	ADP
ap-932	72	8	finite	finite	ADJ
ap-932	72	9	number	number	NOUN
ap-932	72	10	of	of	ADP
ap-932	72	11	eigenstates	eigenstate	NOUN
ap-932	72	12	this	this	PRON
ap-932	72	13	is	be	AUX
ap-932	72	14	not	not	PART
ap-932	72	15	necessarily	necessarily	ADV
ap-932	72	16	the	the	DET
ap-932	72	17	case	case	NOUN
ap-932	72	18	[	[	X
ap-932	72	19	10	10	NUM
ap-932	72	20	]	]	PUNCT
ap-932	72	21	.	.	PUNCT
ap-932	72	22	)	)	PUNCT
ap-932	73	1	the	the	DET
ap-932	73	2	sign	sign	NOUN
ap-932	73	3	of	of	ADP
ap-932	73	4	the	the	DET
ap-932	73	5	pseudo	pseudo	NOUN
ap-932	73	6	-	-	NOUN
ap-932	73	7	norm	norm	NOUN
ap-932	73	8	is	be	AUX
ap-932	73	9	thus	thus	ADV
ap-932	73	10	indefinite	indefinite	ADJ
ap-932	73	11	for	for	ADP
ap-932	73	12	three	three	NUM
ap-932	73	13	-	-	PUNCT
ap-932	73	14	dimensional	dimensional	ADJ
ap-932	73	15	non	non	ADJ
ap-932	73	16	-	-	ADJ
ap-932	73	17	central	central	ADJ
ap-932	73	18	�	�	PROPN
ap-932	73	19	�	�	NOUN
ap-932	73	20	-symmetric	-symmetric	NOUN
ap-932	73	21	potentials	potential	VERB
ap-932	73	22	too	too	ADV
ap-932	73	23	,	,	PUNCT
ap-932	73	24	and	and	CCONJ
ap-932	73	25	it	it	PRON
ap-932	73	26	depends	depend	VERB
ap-932	73	27	on	on	ADP
ap-932	73	28	the	the	DET
ap-932	73	29	quantum	quantum	ADJ
ap-932	73	30	numbers	number	NOUN
ap-932	73	31	associated	associate	VERB
ap-932	73	32	with	with	ADP
ap-932	73	33	the	the	DET
ap-932	73	34	angular	angular	ADJ
ap-932	73	35	component	component	NOUN
ap-932	73	36	of	of	ADP
ap-932	73	37	the	the	DET
ap-932	73	38	eigenfunctions	eigenfunction	NOUN
ap-932	73	39	.	.	PUNCT
ap-932	74	1	let	let	VERB
ap-932	74	2	us	we	PRON
ap-932	74	3	now	now	ADV
ap-932	74	4	discuss	discuss	VERB
ap-932	74	5	the	the	DET
ap-932	74	6	conditions	condition	NOUN
ap-932	74	7	under	under	ADP
ap-932	74	8	which	which	PRON
ap-932	74	9	non	non	ADJ
ap-932	74	10	-	-	ADJ
ap-932	74	11	central	central	ADJ
ap-932	74	12	potentials	potential	NOUN
ap-932	74	13	can	can	AUX
ap-932	74	14	be	be	AUX
ap-932	74	15	�	�	NOUN
ap-932	74	16	�	�	NOUN
ap-932	74	17	-symmetric	-symmetric	NOUN
ap-932	74	18	in	in	ADP
ap-932	74	19	d	d	PROPN
ap-932	74	20	�	�	PROPN
ap-932	74	21	2	2	NUM
ap-932	74	22	dimensions	dimension	NOUN
ap-932	74	23	.	.	PUNCT
ap-932	75	1	the	the	DET
ap-932	75	2	equivalent	equivalent	NOUN
ap-932	75	3	of	of	ADP
ap-932	75	4	(	(	PUNCT
ap-932	75	5	15	15	NUM
ap-932	75	6	)	)	PUNCT
ap-932	75	7	is	be	AUX
ap-932	75	8	now	now	ADV
ap-932	75	9	v	v	ADP
ap-932	75	10	v	v	NOUN
ap-932	75	11	(	(	PUNCT
ap-932	75	12	,	,	PUNCT
ap-932	75	13	)	)	PUNCT
ap-932	75	14	(	(	PUNCT
ap-932	75	15	,	,	PUNCT
ap-932	75	16	)	)	PUNCT
ap-932	75	17	*	*	PUNCT
ap-932	75	18	�	�	PROPN
ap-932	75	19	�	�	PROPN
ap-932	75	20	�	�	PROPN
ap-932	75	21	�	�	PROPN
ap-932	75	22	,	,	PUNCT
ap-932	75	23	(	(	PUNCT
ap-932	75	24	17	17	NUM
ap-932	75	25	)	)	PUNCT
ap-932	75	26	and	and	CCONJ
ap-932	75	27	from	from	ADP
ap-932	75	28	(	(	PUNCT
ap-932	75	29	14	14	NUM
ap-932	75	30	)	)	PUNCT
ap-932	75	31	the	the	DET
ap-932	75	32	conditions	condition	NOUN
ap-932	75	33	v	v	ADP
ap-932	75	34	v0	v0	NOUN
ap-932	75	35	0	0	PUNCT
ap-932	76	1	*	*	PUNCT
ap-932	76	2	(	(	PUNCT
ap-932	76	3	)	)	PUNCT
ap-932	76	4	(	(	PUNCT
ap-932	76	5	)	)	PUNCT
ap-932	76	6	�	�	PROPN
ap-932	76	7	,	,	PUNCT
ap-932	76	8	k	k	PROPN
ap-932	76	9	k	k	PROPN
ap-932	76	10	*	*	PUNCT
ap-932	76	11	(	(	PUNCT
ap-932	76	12	)	)	PUNCT
ap-932	76	13	(	(	PUNCT
ap-932	76	14	)	)	PUNCT
ap-932	76	15	�	�	PROPN
ap-932	76	16	�	�	PROPN
ap-932	76	17	�	�	PROPN
ap-932	76	18	�	�	PROPN
ap-932	76	19	(	(	PUNCT
ap-932	76	20	18	18	NUM
ap-932	76	21	)	)	PUNCT
ap-932	76	22	follow	follow	VERB
ap-932	76	23	from	from	ADP
ap-932	76	24	the	the	DET
ap-932	76	25	�	�	PROPN
ap-932	76	26	�	�	PROPN
ap-932	76	27	symmetry	symmetry	NOUN
ap-932	76	28	of	of	ADP
ap-932	76	29	the	the	DET
ap-932	76	30	v	v	NOUN
ap-932	76	31	(	(	PUNCT
ap-932	76	32	,	,	PUNCT
ap-932	76	33	�	�	PROPN
ap-932	76	34	)	)	PUNCT
ap-932	76	35	.	.	PUNCT
ap-932	77	1	the	the	DET
ap-932	77	2	arguments	argument	NOUN
ap-932	77	3	on	on	ADP
ap-932	77	4	the	the	DET
ap-932	77	5	�	�	PROPN
ap-932	77	6	�	�	PROPN
ap-932	77	7	symmetry	symmetry	NOUN
ap-932	77	8	of	of	ADP
ap-932	77	9	the	the	DET
ap-932	77	10	wavefunction	wavefunction	NOUN
ap-932	77	11	and	and	CCONJ
ap-932	77	12	the	the	DET
ap-932	77	13	constituent	constituent	NOUN
ap-932	77	14	functions	function	NOUN
ap-932	77	15	are	be	AUX
ap-932	77	16	the	the	DET
ap-932	77	17	same	same	ADJ
ap-932	77	18	as	as	ADP
ap-932	77	19	in	in	ADP
ap-932	77	20	the	the	DET
ap-932	77	21	three	three	NUM
ap-932	77	22	-	-	PUNCT
ap-932	77	23	dimensional	dimensional	ADJ
ap-932	77	24	case	case	NOUN
ap-932	77	25	,	,	PUNCT
ap-932	77	26	as	as	SCONJ
ap-932	77	27	are	be	AUX
ap-932	77	28	those	those	PRON
ap-932	77	29	concerning	concern	VERB
ap-932	77	30	the	the	DET
ap-932	77	31	sign	sign	NOUN
ap-932	77	32	of	of	ADP
ap-932	77	33	the	the	DET
ap-932	77	34	pseudo	pseudo	NOUN
ap-932	77	35	-	-	NOUN
ap-932	77	36	norm	norm	NOUN
ap-932	77	37	.	.	PUNCT
ap-932	78	1	a	a	DET
ap-932	78	2	major	major	ADJ
ap-932	78	3	difference	difference	NOUN
ap-932	78	4	with	with	ADP
ap-932	78	5	respect	respect	NOUN
ap-932	78	6	to	to	ADP
ap-932	78	7	the	the	DET
ap-932	78	8	three	three	NUM
ap-932	78	9	-	-	PUNCT
ap-932	78	10	dimensional	dimensional	ADJ
ap-932	78	11	case	case	NOUN
ap-932	78	12	is	be	AUX
ap-932	78	13	that	that	SCONJ
ap-932	78	14	now	now	ADV
ap-932	78	15	k	k	PROPN
ap-932	78	16	can	can	AUX
ap-932	78	17	be	be	AUX
ap-932	78	18	complex	complex	ADJ
ap-932	78	19	too	too	ADV
ap-932	78	20	.	.	PUNCT
ap-932	79	1	since	since	SCONJ
ap-932	79	2	k	k	PROPN
ap-932	79	3	is	be	AUX
ap-932	79	4	the	the	DET
ap-932	79	5	eigenvalue	eigenvalue	PROPN
ap-932	79	6	of	of	ADP
ap-932	79	7	(	(	PUNCT
ap-932	79	8	6	6	NUM
ap-932	79	9	)	)	PUNCT
ap-932	79	10	,	,	PUNCT
ap-932	79	11	which	which	PRON
ap-932	79	12	itself	itself	PRON
ap-932	79	13	can	can	AUX
ap-932	79	14	be	be	AUX
ap-932	79	15	considered	consider	VERB
ap-932	79	16	a	a	DET
ap-932	79	17	schrödinger	schrödinger	ADJ
ap-932	79	18	equation	equation	NOUN
ap-932	79	19	with	with	ADP
ap-932	79	20	a	a	DET
ap-932	79	21	�	�	PROPN
ap-932	79	22	�	�	NOUN
ap-932	79	23	-symmetric	-symmetric	ADJ
ap-932	79	24	potential	potential	NOUN
ap-932	79	25	(	(	PUNCT
ap-932	79	26	k	k	X
ap-932	79	27	(	(	PUNCT
ap-932	79	28	�	�	PROPN
ap-932	79	29	)	)	PUNCT
ap-932	79	30	)	)	PUNCT
ap-932	79	31	,	,	PUNCT
ap-932	79	32	its	its	PRON
ap-932	79	33	complex	complex	ADJ
ap-932	79	34	eigenvalues	eigenvalue	NOUN
ap-932	79	35	occur	occur	VERB
ap-932	79	36	in	in	ADP
ap-932	79	37	complex	complex	ADJ
ap-932	79	38	conjugate	conjugate	ADJ
ap-932	79	39	pairs	pair	NOUN
ap-932	79	40	.	.	PUNCT
ap-932	80	1	substituting	substitute	VERB
ap-932	80	2	k	k	PROPN
ap-932	80	3	and	and	CCONJ
ap-932	80	4	k	k	X
ap-932	80	5	*	*	PUNCT
ap-932	80	6	into	into	ADP
ap-932	80	7	the	the	DET
ap-932	80	8	radial	radial	ADJ
ap-932	80	9	schrödinger	schrödinger	ADJ
ap-932	80	10	equation	equation	NOUN
ap-932	80	11	(	(	PUNCT
ap-932	80	12	13	13	NUM
ap-932	80	13	)	)	PUNCT
ap-932	80	14	one	one	NUM
ap-932	80	15	finds	find	VERB
ap-932	80	16	that	that	SCONJ
ap-932	80	17	the	the	DET
ap-932	80	18	two	two	NUM
ap-932	80	19	equations	equation	NOUN
ap-932	80	20	are	be	AUX
ap-932	80	21	each	each	DET
ap-932	80	22	other	other	ADJ
ap-932	80	23	’s	’s	PART
ap-932	80	24	complex	complex	ADJ
ap-932	80	25	conjugate	conjugate	NOUN
ap-932	80	26	,	,	PUNCT
ap-932	80	27	so	so	ADV
ap-932	80	28	their	their	PRON
ap-932	80	29	energy	energy	NOUN
ap-932	80	30	eigenvalues	eigenvalue	NOUN
ap-932	80	31	will	will	AUX
ap-932	80	32	also	also	ADV
ap-932	80	33	appear	appear	VERB
ap-932	80	34	as	as	ADP
ap-932	80	35	each	each	DET
ap-932	80	36	other	other	ADJ
ap-932	80	37	’s	’s	PART
ap-932	80	38	complex	complex	ADJ
ap-932	80	39	conjugates	conjugate	NOUN
ap-932	80	40	.	.	PUNCT
ap-932	81	1	this	this	PRON
ap-932	81	2	indicates	indicate	VERB
ap-932	81	3	that	that	SCONJ
ap-932	81	4	similarly	similarly	ADV
ap-932	81	5	to	to	ADP
ap-932	81	6	the	the	DET
ap-932	81	7	one	one	NUM
ap-932	81	8	-	-	PUNCT
ap-932	81	9	dimensional	dimensional	ADJ
ap-932	81	10	case	case	NOUN
ap-932	81	11	,	,	PUNCT
ap-932	81	12	the	the	DET
ap-932	81	13	spontaneous	spontaneous	ADJ
ap-932	81	14	breakdown	breakdown	NOUN
ap-932	81	15	of	of	ADP
ap-932	81	16	�	�	PROPN
ap-932	81	17	�	�	PROPN
ap-932	81	18	symmetry	symmetry	NOUN
ap-932	81	19	leads	lead	VERB
ap-932	81	20	to	to	ADP
ap-932	81	21	complex	complex	ADJ
ap-932	81	22	conjugate	conjugate	ADJ
ap-932	81	23	energy	energy	NOUN
ap-932	81	24	eigenvalues	eigenvalue	NOUN
ap-932	81	25	for	for	ADP
ap-932	81	26	d	d	PROPN
ap-932	81	27	�	�	PROPN
ap-932	81	28	2	2	NUM
ap-932	81	29	too	too	ADV
ap-932	81	30	.	.	PUNCT
ap-932	82	1	4	4	NUM
ap-932	82	2	summary	summary	VERB
ap-932	82	3	the	the	DET
ap-932	82	4	most	most	ADV
ap-932	82	5	important	important	ADJ
ap-932	82	6	results	result	NOUN
ap-932	82	7	of	of	ADP
ap-932	82	8	this	this	DET
ap-932	82	9	work	work	NOUN
ap-932	82	10	are	be	AUX
ap-932	82	11	presented	present	VERB
ap-932	82	12	in	in	ADP
ap-932	82	13	the	the	DET
ap-932	82	14	table	table	NOUN
ap-932	82	15	below	below	ADV
ap-932	82	16	.	.	PUNCT
ap-932	83	1	d	d	X
ap-932	83	2	�	�	PROPN
ap-932	83	3	2	2	NUM
ap-932	83	4	d	d	PROPN
ap-932	83	5	�	�	PROPN
ap-932	83	6	3	3	NUM
ap-932	83	7	state	state	NOUN
ap-932	83	8	-	-	PUNCT
ap-932	83	9	independent	independent	ADJ
ap-932	83	10	potential	potential	NOUN
ap-932	83	11	always	always	ADV
ap-932	83	12	k	k	PROPN
ap-932	83	13	m	m	VERB
ap-932	83	14	a	a	DET
ap-932	83	15	�	�	PROPN
ap-932	83	16	�	�	PROPN
ap-932	83	17	2	2	NUM
ap-932	83	18	central	central	ADJ
ap-932	83	19	potential	potential	NOUN
ap-932	83	20	k	k	X
ap-932	83	21	const	const	X
ap-932	83	22	(	(	PUNCT
ap-932	83	23	)	)	PUNCT
ap-932	83	24	.	.	PUNCT
ap-932	84	1	�	�	PROPN
ap-932	84	2	�	�	PROPN
ap-932	85	1	k	k	PROPN
ap-932	85	2	a	a	PROPN
ap-932	85	3	(	(	PUNCT
ap-932	85	4	)	)	PUNCT
ap-932	85	5	�	�	PROPN
ap-932	85	6	�	�	PROPN
ap-932	85	7	�	�	PROPN
ap-932	85	8	�	�	PROPN
ap-932	85	9	-symmetric	-symmetric	ADJ
ap-932	85	10	potential	potential	NOUN
ap-932	85	11	v	v	ADP
ap-932	85	12	v0	v0	NOUN
ap-932	85	13	0	0	PUNCT
ap-932	86	1	*	*	PUNCT
ap-932	86	2	(	(	PUNCT
ap-932	86	3	)	)	PUNCT
ap-932	86	4	(	(	PUNCT
ap-932	86	5	)	)	PUNCT
ap-932	86	6	�	�	PROPN
ap-932	86	7	k	k	PROPN
ap-932	86	8	k	k	PROPN
ap-932	86	9	*	*	PUNCT
ap-932	86	10	(	(	PUNCT
ap-932	86	11	)	)	PUNCT
ap-932	86	12	(	(	PUNCT
ap-932	86	13	)	)	PUNCT
ap-932	86	14	�	�	PROPN
ap-932	86	15	�	�	PROPN
ap-932	86	16	�	�	PROPN
ap-932	86	17	�	�	PROPN
ap-932	86	18	v	v	ADP
ap-932	86	19	r	r	NOUN
ap-932	86	20	v	v	NOUN
ap-932	86	21	r0	r0	NOUN
ap-932	86	22	0	0	PUNCT
ap-932	86	23	*	*	PUNCT
ap-932	86	24	(	(	PUNCT
ap-932	86	25	)	)	PUNCT
ap-932	86	26	(	(	PUNCT
ap-932	86	27	)	)	PUNCT
ap-932	86	28	,	,	PUNCT
ap-932	86	29	�	�	PROPN
ap-932	86	30	k	k	PROPN
ap-932	86	31	k	k	PROPN
ap-932	86	32	�	�	PROPN
ap-932	86	33	*	*	PUNCT
ap-932	86	34	k	k	PROPN
ap-932	86	35	k	k	PUNCT
ap-932	86	36	*	*	PUNCT
ap-932	86	37	(	(	PUNCT
ap-932	86	38	)	)	PUNCT
ap-932	86	39	(	(	PUNCT
ap-932	86	40	)	)	PUNCT
ap-932	86	41	�	�	PROPN
ap-932	86	42	�	�	PROPN
ap-932	86	43	�	�	PROPN
ap-932	86	44	�	�	PROPN
ap-932	86	45	energy	energy	NOUN
ap-932	86	46	eigenvalues	eigenvalue	VERB
ap-932	86	47	real	real	ADJ
ap-932	86	48	or	or	CCONJ
ap-932	86	49	complex	complex	ADJ
ap-932	86	50	conjugate	conjugate	ADJ
ap-932	86	51	pairs	pair	NOUN
ap-932	86	52	real	real	ADJ
ap-932	86	53	sign	sign	NOUN
ap-932	86	54	of	of	ADP
ap-932	86	55	pseudo	pseudo	NOUN
ap-932	86	56	-	-	ADJ
ap-932	86	57	norm	norm	ADJ
ap-932	86	58	indefinite	indefinite	ADJ
ap-932	86	59	indefinite	indefinite	ADJ
ap-932	86	60	5	5	NUM
ap-932	86	61	acknowledgment	acknowledgment	NOUN
ap-932	86	62	this	this	DET
ap-932	86	63	work	work	NOUN
ap-932	86	64	was	be	AUX
ap-932	86	65	supported	support	VERB
ap-932	86	66	by	by	ADP
ap-932	86	67	the	the	DET
ap-932	86	68	otka	otka	PROPN
ap-932	86	69	grant	grant	VERB
ap-932	86	70	no	no	NOUN
ap-932	86	71	.	.	PUNCT
ap-932	87	1	t49646	t49646	ADP
ap-932	87	2	(	(	PUNCT
ap-932	87	3	hungary	hungary	PROPN
ap-932	87	4	)	)	PUNCT
ap-932	87	5	.	.	PUNCT
ap-932	88	1	references	reference	NOUN
ap-932	88	2	[	[	X
ap-932	88	3	1	1	NUM
ap-932	88	4	]	]	X
ap-932	88	5	bender	bender	NOUN
ap-932	88	6	,	,	PUNCT
ap-932	88	7	c.	c.	PROPN
ap-932	88	8	m.	m.	PROPN
ap-932	88	9	,	,	PUNCT
ap-932	88	10	boettcher	boettcher	PROPN
ap-932	88	11	,	,	PUNCT
ap-932	88	12	s.	s.	PROPN
ap-932	88	13	:	:	PUNCT
ap-932	88	14	real	real	ADJ
ap-932	88	15	spectra	spectra	NOUN
ap-932	88	16	in	in	ADP
ap-932	88	17	non	non	ADJ
ap-932	88	18	-	-	ADJ
ap-932	88	19	hermitian	hermitian	ADJ
ap-932	88	20	hamiltonians	hamiltonian	NOUN
ap-932	88	21	having	have	VERB
ap-932	88	22	�	�	PROPN
ap-932	88	23	�	�	PROPN
ap-932	88	24	symmetry	symmetry	NOUN
ap-932	88	25	.	.	PUNCT
ap-932	89	1	phys	phy	NOUN
ap-932	89	2	.	.	PUNCT
ap-932	90	1	rev	rev	PROPN
ap-932	90	2	.	.	PROPN
ap-932	90	3	lett	lett	PROPN
ap-932	90	4	.	.	PROPN
ap-932	90	5	,	,	PUNCT
ap-932	90	6	vol	vol	NOUN
ap-932	90	7	.	.	PROPN
ap-932	90	8	80	80	NUM
ap-932	90	9	(	(	PUNCT
ap-932	90	10	1998	1998	NUM
ap-932	90	11	)	)	PUNCT
ap-932	90	12	,	,	PUNCT
ap-932	90	13	no	no	INTJ
ap-932	90	14	.	.	NOUN
ap-932	90	15	24	24	NUM
ap-932	90	16	,	,	PUNCT
ap-932	90	17	p.	p.	NOUN
ap-932	90	18	5243–5246	5243–5246	NUM
ap-932	90	19	.	.	PUNCT
ap-932	91	1	[	[	X
ap-932	91	2	2	2	X
ap-932	91	3	]	]	PUNCT
ap-932	91	4	j.	j.	PROPN
ap-932	91	5	phys	phys	PROPN
ap-932	91	6	.	.	PUNCT
ap-932	92	1	a	a	DET
ap-932	92	2	:	:	PUNCT
ap-932	92	3	math	math	NOUN
ap-932	92	4	.	.	PUNCT
ap-932	93	1	gen	gen	PROPN
ap-932	93	2	.	.	PROPN
ap-932	93	3	,	,	PUNCT
ap-932	93	4	vol	vol	NOUN
ap-932	93	5	.	.	PROPN
ap-932	93	6	39	39	NUM
ap-932	93	7	(	(	PUNCT
ap-932	93	8	2006	2006	NUM
ap-932	93	9	)	)	PUNCT
ap-932	93	10	,	,	PUNCT
ap-932	93	11	no	no	INTJ
ap-932	93	12	.	.	NOUN
ap-932	93	13	32	32	NUM
ap-932	93	14	.	.	PUNCT
ap-932	94	1	[	[	X
ap-932	94	2	3	3	X
ap-932	94	3	]	]	X
ap-932	94	4	czech	czech	PROPN
ap-932	94	5	.	.	PUNCT
ap-932	95	1	j.	j.	PROPN
ap-932	95	2	phys	phys	PROPN
ap-932	95	3	.	.	PUNCT
ap-932	95	4	,	,	PUNCT
ap-932	95	5	vol	vol	NOUN
ap-932	95	6	.	.	PROPN
ap-932	96	1	56	56	NUM
ap-932	96	2	(	(	PUNCT
ap-932	96	3	2006	2006	NUM
ap-932	96	4	)	)	PUNCT
ap-932	96	5	,	,	PUNCT
ap-932	96	6	no	no	INTJ
ap-932	96	7	.	.	NOUN
ap-932	96	8	9	9	NUM
ap-932	96	9	.	.	PUNCT
ap-932	97	1	[	[	X
ap-932	97	2	4	4	X
ap-932	97	3	]	]	PUNCT
ap-932	97	4	lévai	lévai	NOUN
ap-932	97	5	,	,	PUNCT
ap-932	97	6	g.	g.	NOUN
ap-932	97	7	:	:	PUNCT
ap-932	97	8	solvable	solvable	ADJ
ap-932	97	9	�	�	PROPN
ap-932	97	10	�	�	SYM
ap-932	97	11	-symmetric	-symmetric	ADJ
ap-932	97	12	potentials	potential	NOUN
ap-932	97	13	in	in	ADP
ap-932	97	14	higher	high	ADJ
ap-932	97	15	dimensions	dimension	NOUN
ap-932	97	16	.	.	PUNCT
ap-932	98	1	j.	j.	PROPN
ap-932	98	2	phys	phys	PROPN
ap-932	98	3	.	.	PUNCT
ap-932	99	1	a	a	DET
ap-932	99	2	:	:	PUNCT
ap-932	99	3	math	math	NOUN
ap-932	99	4	.	.	PUNCT
ap-932	100	1	theor	theor	PROPN
ap-932	100	2	.	.	PROPN
ap-932	101	1	,	,	PUNCT
ap-932	102	1	vol	vol	NOUN
ap-932	102	2	.	.	PROPN
ap-932	102	3	40	40	NUM
ap-932	102	4	(	(	PUNCT
ap-932	102	5	2007	2007	NUM
ap-932	102	6	)	)	PUNCT
ap-932	102	7	,	,	PUNCT
ap-932	102	8	no	no	INTJ
ap-932	102	9	.	.	NOUN
ap-932	102	10	15	15	NUM
ap-932	102	11	,	,	PUNCT
ap-932	102	12	p.	p.	NOUN
ap-932	102	13	f273	f273	PROPN
ap-932	102	14	–	–	PUNCT
ap-932	102	15	f280	f280	PROPN
ap-932	102	16	.	.	PUNCT
ap-932	103	1	[	[	X
ap-932	103	2	5	5	NUM
ap-932	103	3	]	]	SYM
ap-932	103	4	edmonds	edmond	NOUN
ap-932	103	5	,	,	PUNCT
ap-932	103	6	a.	a.	PROPN
ap-932	103	7	r.	r.	PROPN
ap-932	103	8	:	:	PUNCT
ap-932	103	9	angular	angular	ADJ
ap-932	103	10	momentum	momentum	NOUN
ap-932	103	11	in	in	ADP
ap-932	103	12	quantum	quantum	ADJ
ap-932	103	13	mechanics	mechanic	NOUN
ap-932	103	14	.	.	PUNCT
ap-932	104	1	princeton	princeton	PROPN
ap-932	104	2	university	university	PROPN
ap-932	104	3	press	press	PROPN
ap-932	104	4	,	,	PUNCT
ap-932	104	5	princeton	princeton	PROPN
ap-932	104	6	,	,	PUNCT
ap-932	104	7	1957	1957	NUM
ap-932	104	8	.	.	PUNCT
ap-932	105	1	[	[	X
ap-932	105	2	6	6	NUM
ap-932	105	3	]	]	X
ap-932	105	4	ushveridze	ushveridze	NOUN
ap-932	105	5	,	,	PUNCT
ap-932	105	6	a.	a.	NOUN
ap-932	105	7	g.	g.	NOUN
ap-932	105	8	:	:	PUNCT
ap-932	106	1	quasi	quasi	ADJ
ap-932	106	2	-	-	ADJ
ap-932	106	3	exactly	exactly	ADV
ap-932	106	4	solvable	solvable	ADJ
ap-932	106	5	models	model	NOUN
ap-932	106	6	in	in	ADP
ap-932	106	7	quantum	quantum	ADJ
ap-932	106	8	mechanics	mechanic	NOUN
ap-932	106	9	.	.	PUNCT
ap-932	107	1	institute	institute	PROPN
ap-932	107	2	of	of	ADP
ap-932	107	3	physics	physics	PROPN
ap-932	107	4	publishing	publishing	NOUN
ap-932	107	5	,	,	PUNCT
ap-932	107	6	bristol	bristol	PROPN
ap-932	107	7	,	,	PUNCT
ap-932	107	8	1994	1994	NUM
ap-932	107	9	.	.	PUNCT
ap-932	108	1	[	[	X
ap-932	108	2	7	7	NUM
ap-932	108	3	]	]	X
ap-932	108	4	trinh	trinh	PROPN
ap-932	108	5	,	,	PUNCT
ap-932	108	6	t.	t.	NOUN
ap-932	108	7	h	h	NOUN
ap-932	108	8	:	:	PUNCT
ap-932	108	9	remarks	remark	NOUN
ap-932	108	10	on	on	ADP
ap-932	108	11	the	the	DET
ap-932	108	12	�	�	PROPN
ap-932	108	13	�	�	PROPN
ap-932	108	14	-pseudo	-pseudo	NOUN
ap-932	108	15	-	-	NOUN
ap-932	108	16	norm	norm	NOUN
ap-932	108	17	in	in	ADP
ap-932	108	18	�	�	PROPN
ap-932	108	19	�	�	NOUN
ap-932	108	20	-symmetric	-symmetric	ADJ
ap-932	108	21	quantum	quantum	NOUN
ap-932	108	22	mechanics	mechanic	NOUN
ap-932	108	23	.	.	PUNCT
ap-932	109	1	j.	j.	PROPN
ap-932	109	2	phys	phys	PROPN
ap-932	109	3	.	.	PUNCT
ap-932	110	1	a	a	DET
ap-932	110	2	:	:	PUNCT
ap-932	110	3	math	math	NOUN
ap-932	110	4	.	.	PUNCT
ap-932	111	1	gen	gen	PROPN
ap-932	111	2	.	.	PROPN
ap-932	111	3	,	,	PUNCT
ap-932	111	4	vol	vol	NOUN
ap-932	111	5	.	.	PROPN
ap-932	112	1	38	38	NUM
ap-932	112	2	(	(	PUNCT
ap-932	112	3	2005	2005	NUM
ap-932	112	4	)	)	PUNCT
ap-932	112	5	,	,	PUNCT
ap-932	112	6	no	no	INTJ
ap-932	112	7	.	.	NOUN
ap-932	112	8	16	16	NUM
ap-932	112	9	,	,	PUNCT
ap-932	112	10	p.	p.	NOUN
ap-932	112	11	3665–3678	3665–3678	NUM
ap-932	112	12	.	.	PUNCT
ap-932	113	1	[	[	X
ap-932	113	2	8	8	NUM
ap-932	113	3	]	]	X
ap-932	113	4	bender	bender	NOUN
ap-932	113	5	,	,	PUNCT
ap-932	113	6	c.	c.	PROPN
ap-932	113	7	m.	m.	PROPN
ap-932	113	8	,	,	PUNCT
ap-932	113	9	tan	tan	PROPN
ap-932	113	10	,	,	PUNCT
ap-932	113	11	b.	b.	PROPN
ap-932	113	12	:	:	PUNCT
ap-932	113	13	calculation	calculation	NOUN
ap-932	113	14	of	of	ADP
ap-932	113	15	the	the	DET
ap-932	113	16	hidden	hide	VERB
ap-932	113	17	symmetry	symmetry	NOUN
ap-932	113	18	operator	operator	NOUN
ap-932	113	19	for	for	ADP
ap-932	113	20	a	a	DET
ap-932	113	21	�	�	PROPN
ap-932	113	22	�	�	NOUN
ap-932	113	23	-symmetric	-symmetric	ADJ
ap-932	113	24	square	square	NOUN
ap-932	113	25	well	well	ADV
ap-932	113	26	.	.	PUNCT
ap-932	114	1	j.	j.	PROPN
ap-932	114	2	phys	phys	PROPN
ap-932	114	3	.	.	PUNCT
ap-932	115	1	a	a	DET
ap-932	115	2	:	:	PUNCT
ap-932	115	3	math	math	NOUN
ap-932	115	4	.	.	PUNCT
ap-932	116	1	gen	gen	PROPN
ap-932	116	2	.	.	PROPN
ap-932	116	3	,	,	PUNCT
ap-932	116	4	vol	vol	NOUN
ap-932	116	5	.	.	PROPN
ap-932	116	6	39	39	NUM
ap-932	116	7	(	(	PUNCT
ap-932	116	8	2006	2006	NUM
ap-932	116	9	)	)	PUNCT
ap-932	116	10	,	,	PUNCT
ap-932	116	11	no	no	INTJ
ap-932	116	12	.	.	NOUN
ap-932	116	13	8	8	NUM
ap-932	116	14	,	,	PUNCT
ap-932	116	15	p.	p.	NOUN
ap-932	116	16	1945–1954	1945–1954	NUM
ap-932	116	17	.	.	PUNCT
ap-932	117	1	[	[	X
ap-932	117	2	9	9	NUM
ap-932	117	3	]	]	PUNCT
ap-932	117	4	lévai	lévai	NOUN
ap-932	117	5	,	,	PUNCT
ap-932	117	6	g.	g.	PROPN
ap-932	117	7	:	:	PUNCT
ap-932	117	8	on	on	ADP
ap-932	117	9	the	the	DET
ap-932	117	10	pseudo	pseudo	NOUN
ap-932	117	11	-	-	NOUN
ap-932	117	12	norm	norm	ADJ
ap-932	117	13	and	and	CCONJ
ap-932	117	14	admissible	admissible	ADJ
ap-932	117	15	solutions	solution	NOUN
ap-932	117	16	of	of	ADP
ap-932	117	17	the	the	DET
ap-932	117	18	�	�	PROPN
ap-932	117	19	�	�	PROPN
ap-932	117	20	-symmetric	-symmetric	ADJ
ap-932	117	21	scarf	scarf	NOUN
ap-932	117	22	i	i	PROPN
ap-932	117	23	potential	potential	NOUN
ap-932	117	24	.	.	PUNCT
ap-932	118	1	j.	j.	PROPN
ap-932	118	2	phys	phys	PROPN
ap-932	118	3	.	.	PUNCT
ap-932	119	1	a	a	DET
ap-932	119	2	:	:	PUNCT
ap-932	119	3	math	math	NOUN
ap-932	119	4	.	.	PUNCT
ap-932	120	1	gen	gen	PROPN
ap-932	120	2	.	.	PROPN
ap-932	120	3	,	,	PUNCT
ap-932	120	4	vol	vol	NOUN
ap-932	120	5	.	.	PROPN
ap-932	120	6	39	39	NUM
ap-932	120	7	(	(	PUNCT
ap-932	120	8	2006	2006	NUM
ap-932	120	9	)	)	PUNCT
ap-932	120	10	,	,	PUNCT
ap-932	120	11	no	no	INTJ
ap-932	120	12	.	.	NOUN
ap-932	120	13	32	32	NUM
ap-932	120	14	,	,	PUNCT
ap-932	120	15	p.	p.	NOUN
ap-932	120	16	10161–10170	10161–10170	NUM
ap-932	120	17	.	.	PUNCT
ap-932	121	1	42	42	NUM
ap-932	121	2	©	©	PROPN
ap-932	121	3	czech	czech	PROPN
ap-932	121	4	technical	technical	PROPN
ap-932	121	5	university	university	PROPN
ap-932	121	6	publishing	publishing	NOUN
ap-932	121	7	house	house	NOUN
ap-932	121	8	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-932	121	9	acta	acta	PROPN
ap-932	121	10	polytechnica	polytechnica	PROPN
ap-932	121	11	vol	vol	NOUN
ap-932	121	12	.	.	PUNCT
ap-932	122	1	47	47	NUM
ap-932	122	2	no	no	INTJ
ap-932	122	3	.	.	PUNCT
ap-932	123	1	2–3/2007	2–3/2007	NUM
ap-932	124	1	©	©	PROPN
ap-932	124	2	czech	czech	PROPN
ap-932	124	3	technical	technical	PROPN
ap-932	124	4	university	university	PROPN
ap-932	124	5	publishing	publishing	NOUN
ap-932	124	6	house	house	NOUN
ap-932	124	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-932	124	8	43	43	NUM
ap-932	124	9	acta	acta	PROPN
ap-932	124	10	polytechnica	polytechnica	PROPN
ap-932	124	11	vol	vol	NOUN
ap-932	124	12	.	.	PUNCT
ap-932	125	1	47	47	NUM
ap-932	125	2	no	no	INTJ
ap-932	125	3	.	.	PUNCT
ap-932	126	1	2–3/2007	2–3/2007	NUM
ap-932	127	1	[	[	X
ap-932	127	2	10	10	NUM
ap-932	127	3	]	]	PUNCT
ap-932	127	4	lévai	lévai	NOUN
ap-932	127	5	,	,	PUNCT
ap-932	127	6	g.	g.	PROPN
ap-932	127	7	,	,	PUNCT
ap-932	127	8	cannata	cannata	PROPN
ap-932	127	9	,	,	PUNCT
ap-932	127	10	f.	f.	PROPN
ap-932	127	11	,	,	PUNCT
ap-932	127	12	ventura	ventura	PROPN
ap-932	127	13	,	,	PUNCT
ap-932	127	14	a.	a.	NOUN
ap-932	127	15	:	:	PUNCT
ap-932	127	16	�	�	PROPN
ap-932	127	17	�	�	PROPN
ap-932	127	18	symmetry	symmetry	NOUN
ap-932	127	19	breaking	break	VERB
ap-932	127	20	and	and	CCONJ
ap-932	127	21	explicit	explicit	ADJ
ap-932	127	22	expressions	expression	NOUN
ap-932	127	23	for	for	ADP
ap-932	127	24	the	the	DET
ap-932	127	25	pseudo	pseudo	NOUN
ap-932	127	26	-	-	NOUN
ap-932	127	27	norm	norm	NOUN
ap-932	127	28	in	in	ADP
ap-932	127	29	the	the	DET
ap-932	127	30	scarf	scarf	PROPN
ap-932	127	31	ii	ii	PROPN
ap-932	127	32	potential	potential	NOUN
ap-932	127	33	.	.	PUNCT
ap-932	128	1	phys	phy	NOUN
ap-932	128	2	.	.	PUNCT
ap-932	129	1	lett	lett	PROPN
ap-932	129	2	.	.	PUNCT
ap-932	130	1	a	a	DET
ap-932	130	2	,	,	PUNCT
ap-932	130	3	vol	vol	NOUN
ap-932	130	4	.	.	PUNCT
ap-932	131	1	300	300	NUM
ap-932	131	2	(	(	PUNCT
ap-932	131	3	2002	2002	NUM
ap-932	131	4	)	)	PUNCT
ap-932	131	5	,	,	PUNCT
ap-932	131	6	no	no	INTJ
ap-932	131	7	.	.	PUNCT
ap-932	132	1	2–3	2–3	NUM
ap-932	132	2	,	,	PUNCT
ap-932	132	3	p.	p.	NOUN
ap-932	132	4	271–281	271–281	NUM
ap-932	132	5	.	.	PUNCT
ap-932	133	1	dr	dr	PROPN
ap-932	133	2	.	.	PROPN
ap-932	133	3	géza	géza	PROPN
ap-932	133	4	lévai	lévai	PROPN
ap-932	133	5	phone	phone	NOUN
ap-932	133	6	:	:	PUNCT
ap-932	133	7	+36	+36	NOUN
ap-932	134	1	52	52	NUM
ap-932	134	2	509	509	NUM
ap-932	134	3	298	298	NUM
ap-932	134	4	fax	fax	NOUN
ap-932	134	5	:	:	PUNCT
ap-932	134	6	+36	+36	NOUN
ap-932	134	7	52	52	NUM
ap-932	134	8	416	416	NUM
ap-932	134	9	181	181	NUM
ap-932	134	10	e	e	NOUN
ap-932	134	11	-	-	NOUN
ap-932	134	12	mail	mail	NOUN
ap-932	134	13	:	:	PUNCT
ap-932	134	14	levai@namafia.atomki.hu	levai@namafia.atomki.hu	PROPN
ap-932	134	15	institute	institute	PROPN
ap-932	134	16	of	of	ADP
ap-932	134	17	nuclear	nuclear	ADJ
ap-932	134	18	research	research	NOUN
ap-932	134	19	of	of	ADP
ap-932	134	20	the	the	DET
ap-932	134	21	hungarian	hungarian	ADJ
ap-932	134	22	academy	academy	PROPN
ap-932	134	23	of	of	ADP
ap-932	134	24	sciences	sciences	PROPN
ap-932	134	25	(	(	PUNCT
ap-932	134	26	atomki	atomki	NOUN
ap-932	134	27	)	)	PUNCT
ap-932	134	28	bem	bem	NOUN
ap-932	134	29	ter	ter	NOUN
ap-932	134	30	18	18	NUM
ap-932	134	31	/	/	SYM
ap-932	134	32	c	c	NOUN
ap-932	134	33	debrecen	debrecen	NOUN
ap-932	134	34	,	,	PUNCT
ap-932	134	35	4026	4026	NUM
ap-932	134	36	hungary	hungary	PROPN