id	sid	tid	token	lemma	pos
ap-4610	1	1	acta	acta	PROPN
ap-4610	1	2	polytechnica	polytechnica	PROPN
ap-4610	1	3	doi:10.14311	doi:10.14311	PROPN
ap-4610	1	4	/	/	SYM
ap-4610	1	5	ap.2017.57.0412	ap.2017.57.0412	PROPN
ap-4610	1	6	acta	acta	PROPN
ap-4610	1	7	polytechnica	polytechnica	PROPN
ap-4610	1	8	57(6):412–417	57(6):412–417	NUM
ap-4610	1	9	,	,	PUNCT
ap-4610	1	10	2017	2017	NUM
ap-4610	1	11	©	©	PROPN
ap-4610	1	12	czech	czech	PROPN
ap-4610	1	13	technical	technical	PROPN
ap-4610	1	14	university	university	PROPN
ap-4610	1	15	in	in	ADP
ap-4610	1	16	prague	prague	PROPN
ap-4610	1	17	,	,	PUNCT
ap-4610	1	18	2017	2017	NUM
ap-4610	1	19	available	available	ADJ
ap-4610	1	20	online	online	ADV
ap-4610	1	21	at	at	ADP
ap-4610	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4610	1	23	on	on	ADP
ap-4610	1	24	the	the	DET
ap-4610	1	25	common	common	ADJ
ap-4610	1	26	limit	limit	NOUN
ap-4610	1	27	of	of	ADP
ap-4610	1	28	the	the	DET
ap-4610	1	29	pt	pt	PROPN
ap-4610	1	30	-symmetric	-symmetric	PROPN
ap-4610	1	31	rosen	rosen	PROPN
ap-4610	1	32	–	–	PUNCT
ap-4610	1	33	morse	morse	PROPN
ap-4610	1	34	ii	ii	PROPN
ap-4610	1	35	and	and	CCONJ
ap-4610	1	36	finite	finite	PROPN
ap-4610	1	37	square	square	PROPN
ap-4610	1	38	well	well	INTJ
ap-4610	1	39	potentials	potential	VERB
ap-4610	1	40	józsef	józsef	PROPN
ap-4610	1	41	kovács	kovács	PROPN
ap-4610	1	42	,	,	PUNCT
ap-4610	1	43	géza	géza	NOUN
ap-4610	1	44	lévai∗	lévai∗	PROPN
ap-4610	1	45	institute	institute	NOUN
ap-4610	1	46	for	for	ADP
ap-4610	1	47	nuclear	nuclear	ADJ
ap-4610	1	48	research	research	NOUN
ap-4610	1	49	,	,	PUNCT
ap-4610	1	50	hungarian	hungarian	ADJ
ap-4610	1	51	academy	academy	NOUN
ap-4610	1	52	of	of	ADP
ap-4610	1	53	sciences	sciences	PROPN
ap-4610	1	54	(	(	PUNCT
ap-4610	1	55	mta	mta	PROPN
ap-4610	1	56	atomki	atomki	NOUN
ap-4610	1	57	)	)	PUNCT
ap-4610	1	58	,	,	PUNCT
ap-4610	1	59	debrecen	debrecen	NOUN
ap-4610	1	60	,	,	PUNCT
ap-4610	1	61	pf	pf	PROPN
ap-4610	1	62	.	.	PROPN
ap-4610	1	63	51	51	NUM
ap-4610	1	64	,	,	PUNCT
ap-4610	1	65	hungary	hungary	NOUN
ap-4610	1	66	4001	4001	NUM
ap-4610	1	67	∗	∗	NOUN
ap-4610	1	68	corresponding	correspond	VERB
ap-4610	1	69	author	author	NOUN
ap-4610	1	70	:	:	PUNCT
ap-4610	1	71	levai@atomki.mta.hu	levai@atomki.mta.hu	PROPN
ap-4610	1	72	abstract	abstract	NOUN
ap-4610	1	73	.	.	PUNCT
ap-4610	2	1	two	two	NUM
ap-4610	2	2	pt	pt	NOUN
ap-4610	2	3	-symmetric	-symmetric	ADJ
ap-4610	2	4	potentials	potential	NOUN
ap-4610	2	5	are	be	AUX
ap-4610	2	6	compared	compare	VERB
ap-4610	2	7	,	,	PUNCT
ap-4610	2	8	which	which	PRON
ap-4610	2	9	possess	possess	VERB
ap-4610	2	10	asymptotically	asymptotically	ADV
ap-4610	2	11	finite	finite	VERB
ap-4610	2	12	imaginary	imaginary	ADJ
ap-4610	2	13	components	component	NOUN
ap-4610	2	14	:	:	PUNCT
ap-4610	2	15	the	the	DET
ap-4610	2	16	pt	pt	PROPN
ap-4610	2	17	-symmetric	-symmetric	PROPN
ap-4610	2	18	rosen	rosen	PROPN
ap-4610	2	19	–	–	PUNCT
ap-4610	2	20	morse	morse	PROPN
ap-4610	2	21	ii	ii	PROPN
ap-4610	2	22	and	and	CCONJ
ap-4610	2	23	the	the	DET
ap-4610	2	24	finite	finite	ADJ
ap-4610	2	25	pt	pt	NOUN
ap-4610	2	26	-symmetric	-symmetric	ADJ
ap-4610	2	27	square	square	ADJ
ap-4610	3	1	well	well	INTJ
ap-4610	3	2	potentials	potential	VERB
ap-4610	3	3	.	.	PUNCT
ap-4610	4	1	despite	despite	SCONJ
ap-4610	4	2	their	their	PRON
ap-4610	4	3	different	different	ADJ
ap-4610	4	4	mathematical	mathematical	ADJ
ap-4610	4	5	structure	structure	NOUN
ap-4610	4	6	,	,	PUNCT
ap-4610	4	7	their	their	PRON
ap-4610	4	8	shape	shape	NOUN
ap-4610	4	9	is	be	AUX
ap-4610	4	10	rather	rather	ADV
ap-4610	4	11	similar	similar	ADJ
ap-4610	4	12	,	,	PUNCT
ap-4610	4	13	and	and	CCONJ
ap-4610	4	14	this	this	DET
ap-4610	4	15	fact	fact	NOUN
ap-4610	4	16	leads	lead	VERB
ap-4610	4	17	to	to	ADP
ap-4610	4	18	similarities	similarity	NOUN
ap-4610	4	19	in	in	ADP
ap-4610	4	20	their	their	PRON
ap-4610	4	21	physical	physical	ADJ
ap-4610	4	22	characteristics	characteristic	NOUN
ap-4610	4	23	.	.	PUNCT
ap-4610	5	1	their	their	PRON
ap-4610	5	2	bound	bind	VERB
ap-4610	5	3	-	-	PUNCT
ap-4610	5	4	state	state	NOUN
ap-4610	5	5	energy	energy	NOUN
ap-4610	5	6	spectrum	spectrum	NOUN
ap-4610	5	7	was	be	AUX
ap-4610	5	8	found	find	VERB
ap-4610	5	9	to	to	PART
ap-4610	5	10	be	be	AUX
ap-4610	5	11	purely	purely	ADV
ap-4610	5	12	real	real	ADJ
ap-4610	5	13	,	,	PUNCT
ap-4610	5	14	an	an	DET
ap-4610	5	15	this	this	DET
ap-4610	5	16	finding	finding	NOUN
ap-4610	5	17	was	be	AUX
ap-4610	5	18	attributed	attribute	VERB
ap-4610	5	19	to	to	ADP
ap-4610	5	20	their	their	PRON
ap-4610	5	21	asymptotically	asymptotically	ADV
ap-4610	5	22	non	non	ADJ
ap-4610	5	23	-	-	ADJ
ap-4610	5	24	vanishing	vanishing	ADJ
ap-4610	5	25	imaginary	imaginary	ADJ
ap-4610	5	26	potential	potential	ADJ
ap-4610	5	27	components	component	NOUN
ap-4610	5	28	.	.	PUNCT
ap-4610	6	1	here	here	ADV
ap-4610	6	2	the	the	DET
ap-4610	6	3	v	v	NOUN
ap-4610	6	4	(	(	PUNCT
ap-4610	6	5	x	x	NOUN
ap-4610	6	6	)	)	PUNCT
ap-4610	6	7	=	=	NOUN
ap-4610	6	8	γδ(x	γδ(x	X
ap-4610	6	9	)	)	PUNCT
ap-4610	7	1	+	+	CCONJ
ap-4610	7	2	i2λ	i2λ	PROPN
ap-4610	7	3	sgn(x	sgn(x	X
ap-4610	7	4	)	)	PUNCT
ap-4610	7	5	potential	potential	NOUN
ap-4610	7	6	is	be	AUX
ap-4610	7	7	discussed	discuss	VERB
ap-4610	7	8	,	,	PUNCT
ap-4610	7	9	which	which	PRON
ap-4610	7	10	can	can	AUX
ap-4610	7	11	be	be	AUX
ap-4610	7	12	obtained	obtain	VERB
ap-4610	7	13	as	as	ADP
ap-4610	7	14	the	the	DET
ap-4610	7	15	common	common	ADJ
ap-4610	7	16	limit	limit	NOUN
ap-4610	7	17	of	of	ADP
ap-4610	7	18	the	the	DET
ap-4610	7	19	two	two	NUM
ap-4610	7	20	other	other	ADJ
ap-4610	7	21	potentials	potential	NOUN
ap-4610	7	22	.	.	PUNCT
ap-4610	8	1	the	the	DET
ap-4610	8	2	energy	energy	NOUN
ap-4610	8	3	spectrum	spectrum	NOUN
ap-4610	8	4	,	,	PUNCT
ap-4610	8	5	the	the	DET
ap-4610	8	6	bound	bind	VERB
ap-4610	8	7	-	-	PUNCT
ap-4610	8	8	state	state	NOUN
ap-4610	8	9	wave	wave	NOUN
ap-4610	8	10	functions	function	NOUN
ap-4610	8	11	and	and	CCONJ
ap-4610	8	12	the	the	DET
ap-4610	8	13	transmission	transmission	NOUN
ap-4610	8	14	and	and	CCONJ
ap-4610	8	15	reflection	reflection	NOUN
ap-4610	8	16	coefficients	coefficient	NOUN
ap-4610	8	17	are	be	AUX
ap-4610	8	18	studied	study	VERB
ap-4610	8	19	in	in	ADP
ap-4610	8	20	the	the	DET
ap-4610	8	21	respective	respective	ADJ
ap-4610	8	22	limits	limit	NOUN
ap-4610	8	23	,	,	PUNCT
ap-4610	8	24	and	and	CCONJ
ap-4610	8	25	the	the	DET
ap-4610	8	26	results	result	NOUN
ap-4610	8	27	are	be	AUX
ap-4610	8	28	compared	compare	VERB
ap-4610	8	29	.	.	PUNCT
ap-4610	9	1	keywords	keyword	NOUN
ap-4610	9	2	:	:	PUNCT
ap-4610	9	3	pt	pt	NOUN
ap-4610	9	4	-symmetric	-symmetric	ADJ
ap-4610	9	5	potential	potential	NOUN
ap-4610	9	6	;	;	PUNCT
ap-4610	9	7	bound	bind	VERB
ap-4610	9	8	states	state	NOUN
ap-4610	9	9	;	;	PUNCT
ap-4610	9	10	scattering	scatter	VERB
ap-4610	9	11	;	;	PUNCT
ap-4610	9	12	dirac	dirac	NOUN
ap-4610	9	13	-	-	PUNCT
ap-4610	9	14	δ	δ	NOUN
ap-4610	9	15	limit	limit	NOUN
ap-4610	9	16	.	.	PUNCT
ap-4610	10	1	1	1	X
ap-4610	10	2	.	.	X
ap-4610	10	3	introduction	introduction	NOUN
ap-4610	10	4	the	the	DET
ap-4610	10	5	introduction	introduction	NOUN
ap-4610	10	6	of	of	ADP
ap-4610	10	7	pt	pt	X
ap-4610	10	8	-symmetric	-symmetric	ADJ
ap-4610	10	9	quantum	quantum	ADJ
ap-4610	10	10	mechanics	mechanic	NOUN
ap-4610	10	11	[	[	X
ap-4610	10	12	1	1	X
ap-4610	10	13	]	]	PUNCT
ap-4610	10	14	gave	give	VERB
ap-4610	10	15	strong	strong	ADJ
ap-4610	10	16	impetus	impetus	NOUN
ap-4610	10	17	to	to	ADP
ap-4610	10	18	the	the	DET
ap-4610	10	19	investigation	investigation	NOUN
ap-4610	10	20	of	of	ADP
ap-4610	10	21	non	non	ADJ
ap-4610	10	22	-	-	ADJ
ap-4610	10	23	hermitian	hermitian	ADJ
ap-4610	10	24	quantum	quantum	ADJ
ap-4610	10	25	mechanical	mechanical	ADJ
ap-4610	10	26	systems	system	NOUN
ap-4610	10	27	(	(	PUNCT
ap-4610	10	28	for	for	ADP
ap-4610	10	29	a	a	DET
ap-4610	10	30	review	review	NOUN
ap-4610	10	31	,	,	PUNCT
ap-4610	10	32	see	see	VERB
ap-4610	10	33	[	[	X
ap-4610	10	34	2	2	NUM
ap-4610	10	35	]	]	PUNCT
ap-4610	10	36	)	)	PUNCT
ap-4610	10	37	.	.	PUNCT
ap-4610	11	1	in	in	ADP
ap-4610	11	2	most	most	ADJ
ap-4610	11	3	cases	case	NOUN
ap-4610	11	4	these	these	DET
ap-4610	11	5	systems	system	NOUN
ap-4610	11	6	represent	represent	VERB
ap-4610	11	7	one	one	NUM
ap-4610	11	8	-	-	PUNCT
ap-4610	11	9	dimensional	dimensional	ADJ
ap-4610	11	10	complex	complex	ADJ
ap-4610	11	11	potentials	potential	NOUN
ap-4610	11	12	that	that	PRON
ap-4610	11	13	are	be	AUX
ap-4610	11	14	invariant	invariant	ADJ
ap-4610	11	15	with	with	ADP
ap-4610	11	16	respect	respect	NOUN
ap-4610	11	17	simultaneous	simultaneous	ADJ
ap-4610	11	18	space	space	NOUN
ap-4610	11	19	(	(	PUNCT
ap-4610	11	20	p	p	NOUN
ap-4610	11	21	)	)	PUNCT
ap-4610	11	22	and	and	CCONJ
ap-4610	11	23	time	time	NOUN
ap-4610	11	24	(	(	PUNCT
ap-4610	11	25	t	t	NOUN
ap-4610	11	26	)	)	PUNCT
ap-4610	11	27	reflection	reflection	NOUN
ap-4610	11	28	,	,	PUNCT
ap-4610	11	29	where	where	SCONJ
ap-4610	11	30	the	the	DET
ap-4610	11	31	latter	latter	ADJ
ap-4610	11	32	corresponds	correspond	VERB
ap-4610	11	33	to	to	ADP
ap-4610	11	34	complex	complex	ADJ
ap-4610	11	35	conjugation	conjugation	NOUN
ap-4610	11	36	.	.	PUNCT
ap-4610	12	1	although	although	SCONJ
ap-4610	12	2	these	these	DET
ap-4610	12	3	potentials	potential	NOUN
ap-4610	12	4	are	be	AUX
ap-4610	12	5	manifestly	manifestly	ADV
ap-4610	12	6	non	non	ADJ
ap-4610	12	7	-	-	ADJ
ap-4610	12	8	hermitian	hermitian	ADJ
ap-4610	12	9	,	,	PUNCT
ap-4610	12	10	they	they	PRON
ap-4610	12	11	possess	possess	VERB
ap-4610	12	12	several	several	ADJ
ap-4610	12	13	features	feature	NOUN
ap-4610	12	14	that	that	PRON
ap-4610	12	15	are	be	AUX
ap-4610	12	16	characteristic	characteristic	ADJ
ap-4610	12	17	of	of	ADP
ap-4610	12	18	hermitian	hermitian	ADJ
ap-4610	12	19	systems	system	NOUN
ap-4610	12	20	,	,	PUNCT
ap-4610	12	21	i.e.	i.e.	X
ap-4610	12	22	real	real	ADJ
ap-4610	12	23	potentials	potential	NOUN
ap-4610	12	24	.	.	PUNCT
ap-4610	13	1	perhaps	perhaps	ADV
ap-4610	13	2	the	the	DET
ap-4610	13	3	most	most	ADV
ap-4610	13	4	spectacular	spectacular	ADJ
ap-4610	13	5	one	one	NOUN
ap-4610	13	6	among	among	ADP
ap-4610	13	7	these	these	PRON
ap-4610	13	8	is	be	AUX
ap-4610	13	9	that	that	SCONJ
ap-4610	13	10	their	their	PRON
ap-4610	13	11	discrete	discrete	ADJ
ap-4610	13	12	energy	energy	NOUN
ap-4610	13	13	spectrum	spectrum	NOUN
ap-4610	13	14	is	be	AUX
ap-4610	13	15	partly	partly	ADV
ap-4610	13	16	or	or	CCONJ
ap-4610	13	17	completely	completely	ADV
ap-4610	13	18	real	real	ADJ
ap-4610	13	19	.	.	PUNCT
ap-4610	14	1	this	this	DET
ap-4610	14	2	feature	feature	NOUN
ap-4610	14	3	was	be	AUX
ap-4610	14	4	first	first	ADV
ap-4610	14	5	attributed	attribute	VERB
ap-4610	14	6	to	to	ADP
ap-4610	14	7	pt	pt	NOUN
ap-4610	14	8	symmetry	symmetry	NOUN
ap-4610	14	9	,	,	PUNCT
ap-4610	14	10	but	but	CCONJ
ap-4610	14	11	later	later	ADV
ap-4610	14	12	it	it	PRON
ap-4610	14	13	soon	soon	ADV
ap-4610	14	14	turned	turn	VERB
ap-4610	14	15	out	out	ADP
ap-4610	14	16	that	that	SCONJ
ap-4610	14	17	pt	pt	PROPN
ap-4610	14	18	symmetry	symmetry	NOUN
ap-4610	14	19	is	be	AUX
ap-4610	14	20	neither	neither	CCONJ
ap-4610	14	21	a	a	DET
ap-4610	14	22	necessary	necessary	ADJ
ap-4610	14	23	,	,	PUNCT
ap-4610	14	24	nor	nor	CCONJ
ap-4610	14	25	a	a	DET
ap-4610	14	26	sufficient	sufficient	ADJ
ap-4610	14	27	condition	condition	NOUN
ap-4610	14	28	for	for	ADP
ap-4610	14	29	the	the	DET
ap-4610	14	30	presence	presence	NOUN
ap-4610	14	31	of	of	ADP
ap-4610	14	32	real	real	ADJ
ap-4610	14	33	energy	energy	NOUN
ap-4610	14	34	eigenvalues	eigenvalue	NOUN
ap-4610	14	35	.	.	PUNCT
ap-4610	15	1	it	it	PRON
ap-4610	15	2	was	be	AUX
ap-4610	15	3	found	find	VERB
ap-4610	15	4	that	that	SCONJ
ap-4610	15	5	in	in	ADP
ap-4610	15	6	many	many	ADJ
ap-4610	15	7	such	such	ADJ
ap-4610	15	8	systems	system	NOUN
ap-4610	15	9	the	the	DET
ap-4610	15	10	energy	energy	NOUN
ap-4610	15	11	eigenvalues	eigenvalue	VERB
ap-4610	15	12	merge	merge	VERB
ap-4610	15	13	pairwise	pairwise	NOUN
ap-4610	15	14	with	with	ADP
ap-4610	15	15	increasing	increase	VERB
ap-4610	15	16	non	non	ADJ
ap-4610	15	17	-	-	NOUN
ap-4610	15	18	hermiticity	hermiticity	ADJ
ap-4610	15	19	,	,	PUNCT
ap-4610	15	20	and	and	CCONJ
ap-4610	15	21	reappear	reappear	VERB
ap-4610	15	22	as	as	ADP
ap-4610	15	23	complex	complex	ADJ
ap-4610	15	24	conjugate	conjugate	ADJ
ap-4610	15	25	pairs	pair	NOUN
ap-4610	15	26	.	.	PUNCT
ap-4610	16	1	since	since	SCONJ
ap-4610	16	2	at	at	ADP
ap-4610	16	3	the	the	DET
ap-4610	16	4	same	same	ADJ
ap-4610	16	5	time	time	NOUN
ap-4610	16	6	the	the	DET
ap-4610	16	7	energy	energy	NOUN
ap-4610	16	8	eigenstates	eigenstate	NOUN
ap-4610	16	9	cease	cease	VERB
ap-4610	16	10	to	to	PART
ap-4610	16	11	be	be	AUX
ap-4610	16	12	eigenfunctions	eigenfunction	NOUN
ap-4610	16	13	of	of	ADP
ap-4610	16	14	the	the	DET
ap-4610	16	15	pt	pt	NOUN
ap-4610	16	16	operator	operator	NOUN
ap-4610	16	17	,	,	PUNCT
ap-4610	16	18	this	this	DET
ap-4610	16	19	phenomenon	phenomenon	NOUN
ap-4610	16	20	was	be	AUX
ap-4610	16	21	interpreted	interpret	VERB
ap-4610	16	22	as	as	ADP
ap-4610	16	23	the	the	DET
ap-4610	16	24	breakdown	breakdown	NOUN
ap-4610	16	25	of	of	ADP
ap-4610	16	26	pt	pt	NOUN
ap-4610	16	27	symmetry	symmetry	NOUN
ap-4610	16	28	.	.	PUNCT
ap-4610	17	1	it	it	PRON
ap-4610	17	2	was	be	AUX
ap-4610	17	3	shown	show	VERB
ap-4610	17	4	that	that	SCONJ
ap-4610	17	5	from	from	ADP
ap-4610	17	6	the	the	DET
ap-4610	17	7	mathematical	mathematical	ADJ
ap-4610	17	8	point	point	NOUN
ap-4610	17	9	of	of	ADP
ap-4610	17	10	view	view	NOUN
ap-4610	17	11	pt	pt	NOUN
ap-4610	17	12	symmetry	symmetry	NOUN
ap-4610	17	13	is	be	AUX
ap-4610	17	14	a	a	DET
ap-4610	17	15	particular	particular	ADJ
ap-4610	17	16	case	case	NOUN
ap-4610	17	17	of	of	ADP
ap-4610	17	18	pseudo	pseudo	NOUN
ap-4610	17	19	-	-	NOUN
ap-4610	17	20	hermiticity	hermiticity	NOUN
ap-4610	17	21	[	[	X
ap-4610	17	22	3	3	NUM
ap-4610	17	23	]	]	PUNCT
ap-4610	17	24	.	.	PUNCT
ap-4610	18	1	more	more	ADV
ap-4610	18	2	recently	recently	ADV
ap-4610	18	3	,	,	PUNCT
ap-4610	18	4	after	after	ADP
ap-4610	18	5	a	a	DET
ap-4610	18	6	decade	decade	NOUN
ap-4610	18	7	of	of	ADP
ap-4610	18	8	theoretical	theoretical	ADJ
ap-4610	18	9	investigations	investigation	NOUN
ap-4610	18	10	the	the	DET
ap-4610	18	11	existence	existence	NOUN
ap-4610	18	12	of	of	ADP
ap-4610	18	13	pt	pt	NOUN
ap-4610	18	14	symmetry	symmetry	NOUN
ap-4610	18	15	,	,	PUNCT
ap-4610	18	16	as	as	ADV
ap-4610	18	17	well	well	ADV
ap-4610	18	18	as	as	ADP
ap-4610	18	19	that	that	PRON
ap-4610	18	20	of	of	ADP
ap-4610	18	21	its	its	PRON
ap-4610	18	22	breakdown	breakdown	NOUN
ap-4610	18	23	was	be	AUX
ap-4610	18	24	verified	verify	VERB
ap-4610	18	25	in	in	ADP
ap-4610	18	26	quantum	quantum	ADJ
ap-4610	18	27	optical	optical	ADJ
ap-4610	18	28	experiments	experiment	NOUN
ap-4610	18	29	[	[	X
ap-4610	18	30	4	4	NUM
ap-4610	18	31	]	]	PUNCT
ap-4610	18	32	.	.	PUNCT
ap-4610	19	1	although	although	SCONJ
ap-4610	19	2	the	the	DET
ap-4610	19	3	first	first	ADJ
ap-4610	19	4	pt	pt	NOUN
ap-4610	19	5	-symmetric	-symmetric	ADJ
ap-4610	19	6	potentials	potential	NOUN
ap-4610	19	7	were	be	AUX
ap-4610	19	8	solved	solve	VERB
ap-4610	19	9	by	by	ADP
ap-4610	19	10	numerical	numerical	ADJ
ap-4610	19	11	methods	method	NOUN
ap-4610	19	12	,	,	PUNCT
ap-4610	19	13	it	it	PRON
ap-4610	19	14	was	be	AUX
ap-4610	19	15	soon	soon	ADV
ap-4610	19	16	realized	realize	VERB
ap-4610	19	17	that	that	SCONJ
ap-4610	19	18	most	most	ADJ
ap-4610	19	19	exactly	exactly	ADV
ap-4610	19	20	solvable	solvable	ADJ
ap-4610	19	21	potentials	potential	NOUN
ap-4610	19	22	can	can	AUX
ap-4610	19	23	be	be	AUX
ap-4610	19	24	cast	cast	VERB
ap-4610	19	25	into	into	ADP
ap-4610	19	26	a	a	DET
ap-4610	19	27	pt	pt	NOUN
ap-4610	19	28	-symmetric	-symmetric	ADJ
ap-4610	19	29	form	form	NOUN
ap-4610	19	30	,	,	PUNCT
ap-4610	19	31	and	and	CCONJ
ap-4610	19	32	the	the	DET
ap-4610	19	33	usual	usual	ADJ
ap-4610	19	34	techniques	technique	NOUN
ap-4610	19	35	applied	apply	VERB
ap-4610	19	36	to	to	ADP
ap-4610	19	37	their	their	PRON
ap-4610	19	38	hermitian	hermitian	ADJ
ap-4610	19	39	version	version	NOUN
ap-4610	19	40	can	can	AUX
ap-4610	19	41	be	be	AUX
ap-4610	19	42	used	use	VERB
ap-4610	19	43	in	in	ADP
ap-4610	19	44	the	the	DET
ap-4610	19	45	pt	pt	NOUN
ap-4610	19	46	symmetric	symmetric	ADJ
ap-4610	19	47	setting	set	VERB
ap-4610	19	48	too	too	ADV
ap-4610	19	49	(	(	PUNCT
ap-4610	19	50	see	see	VERB
ap-4610	19	51	[	[	X
ap-4610	19	52	5–7	5–7	X
ap-4610	19	53	]	]	X
ap-4610	19	54	for	for	ADP
ap-4610	19	55	reviews	review	NOUN
ap-4610	19	56	)	)	PUNCT
ap-4610	19	57	.	.	PUNCT
ap-4610	20	1	the	the	DET
ap-4610	20	2	pt	pt	PROPN
ap-4610	20	3	-symmetrization	-symmetrization	PROPN
ap-4610	20	4	of	of	ADP
ap-4610	20	5	shape	shape	NOUN
ap-4610	20	6	-	-	PUNCT
ap-4610	20	7	invariant	invariant	ADJ
ap-4610	20	8	[	[	X
ap-4610	20	9	5	5	NUM
ap-4610	20	10	,	,	PUNCT
ap-4610	20	11	6	6	NUM
ap-4610	20	12	,	,	PUNCT
ap-4610	20	13	8	8	NUM
ap-4610	20	14	]	]	PUNCT
ap-4610	20	15	and	and	CCONJ
ap-4610	20	16	of	of	ADP
ap-4610	20	17	the	the	DET
ap-4610	20	18	more	more	ADV
ap-4610	20	19	general	general	ADJ
ap-4610	20	20	natanzon	natanzon	NOUN
ap-4610	20	21	-	-	PUNCT
ap-4610	20	22	class	class	NOUN
ap-4610	20	23	potentials	potential	VERB
ap-4610	20	24	[	[	X
ap-4610	20	25	7	7	X
ap-4610	20	26	]	]	PUNCT
ap-4610	20	27	that	that	PRON
ap-4610	20	28	are	be	AUX
ap-4610	20	29	solved	solve	VERB
ap-4610	20	30	in	in	ADP
ap-4610	20	31	terms	term	NOUN
ap-4610	20	32	of	of	ADP
ap-4610	20	33	the	the	DET
ap-4610	20	34	(	(	PUNCT
ap-4610	20	35	confluent	confluent	ADJ
ap-4610	20	36	)	)	PUNCT
ap-4610	20	37	hypergeometric	hypergeometric	ADJ
ap-4610	20	38	function	function	NOUN
ap-4610	20	39	[	[	X
ap-4610	20	40	9	9	NUM
ap-4610	20	41	]	]	PUNCT
ap-4610	20	42	revealed	reveal	VERB
ap-4610	20	43	that	that	SCONJ
ap-4610	20	44	the	the	DET
ap-4610	20	45	characteristic	characteristic	ADJ
ap-4610	20	46	features	feature	NOUN
ap-4610	20	47	of	of	ADP
ap-4610	20	48	pt	pt	X
ap-4610	20	49	-symmetric	-symmetric	ADJ
ap-4610	20	50	potentials	potential	NOUN
ap-4610	20	51	can	can	AUX
ap-4610	20	52	conveniently	conveniently	ADV
ap-4610	20	53	be	be	AUX
ap-4610	20	54	studied	study	VERB
ap-4610	20	55	using	use	VERB
ap-4610	20	56	the	the	DET
ap-4610	20	57	exact	exact	ADJ
ap-4610	20	58	analytical	analytical	ADJ
ap-4610	20	59	solutions	solution	NOUN
ap-4610	20	60	of	of	ADP
ap-4610	20	61	these	these	DET
ap-4610	20	62	potentials	potential	NOUN
ap-4610	20	63	.	.	PUNCT
ap-4610	21	1	a	a	DET
ap-4610	21	2	particularly	particularly	ADV
ap-4610	21	3	interesting	interesting	ADJ
ap-4610	21	4	issue	issue	NOUN
ap-4610	21	5	was	be	AUX
ap-4610	21	6	the	the	DET
ap-4610	21	7	study	study	NOUN
ap-4610	21	8	of	of	ADP
ap-4610	21	9	the	the	DET
ap-4610	21	10	breakdown	breakdown	NOUN
ap-4610	21	11	of	of	ADP
ap-4610	21	12	pt	pt	NOUN
ap-4610	21	13	symmetry	symmetry	NOUN
ap-4610	21	14	:	:	PUNCT
ap-4610	21	15	the	the	DET
ap-4610	21	16	transition	transition	NOUN
ap-4610	21	17	through	through	ADP
ap-4610	21	18	the	the	DET
ap-4610	21	19	critical	critical	ADJ
ap-4610	21	20	point	point	NOUN
ap-4610	21	21	could	could	AUX
ap-4610	21	22	be	be	AUX
ap-4610	21	23	reached	reach	VERB
ap-4610	21	24	by	by	ADP
ap-4610	21	25	fine	fine	ADJ
ap-4610	21	26	tuning	tuning	NOUN
ap-4610	21	27	of	of	ADP
ap-4610	21	28	some	some	DET
ap-4610	21	29	potential	potential	ADJ
ap-4610	21	30	parameter	parameter	NOUN
ap-4610	21	31	,	,	PUNCT
ap-4610	21	32	and	and	CCONJ
ap-4610	21	33	the	the	DET
ap-4610	21	34	whole	whole	ADJ
ap-4610	21	35	process	process	NOUN
ap-4610	21	36	could	could	AUX
ap-4610	21	37	be	be	AUX
ap-4610	21	38	kept	keep	VERB
ap-4610	21	39	under	under	ADP
ap-4610	21	40	control	control	NOUN
ap-4610	21	41	.	.	PUNCT
ap-4610	22	1	it	it	PRON
ap-4610	22	2	was	be	AUX
ap-4610	22	3	found	find	VERB
ap-4610	22	4	that	that	SCONJ
ap-4610	22	5	there	there	PRON
ap-4610	22	6	are	be	VERB
ap-4610	22	7	exactly	exactly	ADV
ap-4610	22	8	solvable	solvable	ADJ
ap-4610	22	9	potentials	potential	NOUN
ap-4610	22	10	that	that	PRON
ap-4610	22	11	do	do	AUX
ap-4610	22	12	not	not	PART
ap-4610	22	13	exhibit	exhibit	VERB
ap-4610	22	14	this	this	DET
ap-4610	22	15	feature	feature	NOUN
ap-4610	23	1	[	[	X
ap-4610	23	2	10–13	10–13	NUM
ap-4610	23	3	]	]	PUNCT
ap-4610	23	4	,	,	PUNCT
ap-4610	24	1	while	while	SCONJ
ap-4610	24	2	some	some	DET
ap-4610	24	3	others	other	NOUN
ap-4610	24	4	do	do	VERB
ap-4610	24	5	[	[	X
ap-4610	24	6	14–18	14–18	NUM
ap-4610	24	7	]	]	PUNCT
ap-4610	24	8	.	.	PUNCT
ap-4610	25	1	it	it	PRON
ap-4610	25	2	was	be	AUX
ap-4610	25	3	also	also	ADV
ap-4610	25	4	noticed	notice	VERB
ap-4610	25	5	that	that	SCONJ
ap-4610	25	6	in	in	ADP
ap-4610	25	7	most	most	ADJ
ap-4610	25	8	cases	case	NOUN
ap-4610	25	9	the	the	DET
ap-4610	25	10	complexification	complexification	NOUN
ap-4610	25	11	of	of	ADP
ap-4610	25	12	the	the	DET
ap-4610	25	13	energy	energy	NOUN
ap-4610	25	14	eigenvalues	eigenvalue	VERB
ap-4610	25	15	occurs	occur	VERB
ap-4610	25	16	at	at	ADP
ap-4610	25	17	the	the	DET
ap-4610	25	18	same	same	ADJ
ap-4610	25	19	value	value	NOUN
ap-4610	25	20	of	of	ADP
ap-4610	25	21	the	the	DET
ap-4610	25	22	control	control	NOUN
ap-4610	25	23	parameter	parameter	NOUN
ap-4610	25	24	(	(	PUNCT
ap-4610	25	25	sudden	sudden	ADJ
ap-4610	25	26	mechanism	mechanism	NOUN
ap-4610	25	27	)	)	PUNCT
ap-4610	26	1	[	[	X
ap-4610	26	2	15–17	15–17	NUM
ap-4610	26	3	]	]	PUNCT
ap-4610	26	4	,	,	PUNCT
ap-4610	26	5	while	while	SCONJ
ap-4610	26	6	in	in	ADP
ap-4610	26	7	some	some	DET
ap-4610	26	8	cases	case	NOUN
ap-4610	26	9	it	it	PRON
ap-4610	26	10	is	be	AUX
ap-4610	26	11	a	a	DET
ap-4610	26	12	continuous	continuous	ADJ
ap-4610	26	13	process	process	NOUN
ap-4610	26	14	[	[	X
ap-4610	26	15	18	18	NUM
ap-4610	26	16	]	]	PUNCT
ap-4610	26	17	.	.	PUNCT
ap-4610	27	1	although	although	SCONJ
ap-4610	27	2	there	there	PRON
ap-4610	27	3	are	be	VERB
ap-4610	27	4	examples	example	NOUN
ap-4610	27	5	for	for	ADP
ap-4610	27	6	this	this	DET
ap-4610	27	7	latter	latter	ADJ
ap-4610	27	8	,	,	PUNCT
ap-4610	27	9	gradual	gradual	ADJ
ap-4610	27	10	mechanism	mechanism	NOUN
ap-4610	27	11	among	among	ADP
ap-4610	27	12	natanzon	natanzon	NOUN
ap-4610	27	13	-	-	PUNCT
ap-4610	27	14	class	class	NOUN
ap-4610	27	15	potentials	potential	VERB
ap-4610	27	16	[	[	X
ap-4610	27	17	18	18	NUM
ap-4610	27	18	]	]	PUNCT
ap-4610	27	19	,	,	PUNCT
ap-4610	27	20	it	it	PRON
ap-4610	27	21	seems	seem	VERB
ap-4610	27	22	to	to	PART
ap-4610	27	23	be	be	AUX
ap-4610	27	24	characteristic	characteristic	ADJ
ap-4610	27	25	of	of	ADP
ap-4610	27	26	potentials	potential	NOUN
ap-4610	27	27	not	not	PART
ap-4610	27	28	belonging	belong	VERB
ap-4610	27	29	to	to	ADP
ap-4610	27	30	the	the	DET
ap-4610	27	31	natanzon	natanzon	NOUN
ap-4610	27	32	(	(	PUNCT
ap-4610	27	33	and	and	CCONJ
ap-4610	27	34	thus	thus	ADV
ap-4610	27	35	,	,	PUNCT
ap-4610	27	36	the	the	DET
ap-4610	27	37	shape	shape	NOUN
ap-4610	27	38	-	-	PUNCT
ap-4610	27	39	invariant	invariant	ADJ
ap-4610	27	40	)	)	PUNCT
ap-4610	27	41	class	class	NOUN
ap-4610	27	42	.	.	PUNCT
ap-4610	28	1	examples	example	NOUN
ap-4610	28	2	are	be	AUX
ap-4610	28	3	the	the	DET
ap-4610	28	4	numerically	numerically	ADV
ap-4610	28	5	solvable	solvable	ADJ
ap-4610	28	6	bender	bender	NOUN
ap-4610	28	7	-	-	PUNCT
ap-4610	28	8	boettcher	boettcher	PROPN
ap-4610	28	9	potentials	potential	VERB
ap-4610	28	10	[	[	X
ap-4610	28	11	1	1	NUM
ap-4610	28	12	]	]	PUNCT
ap-4610	28	13	,	,	PUNCT
ap-4610	28	14	some	some	DET
ap-4610	28	15	piecewise	piecewise	NOUN
ap-4610	28	16	constant	constant	ADJ
ap-4610	28	17	potentials	potential	NOUN
ap-4610	28	18	,	,	PUNCT
ap-4610	28	19	like	like	ADP
ap-4610	28	20	the	the	DET
ap-4610	28	21	pt	pt	PROPN
ap-4610	28	22	-symmetric	-symmetric	NOUN
ap-4610	28	23	infinite	infinite	ADJ
ap-4610	28	24	square	square	ADJ
ap-4610	29	1	well	well	NOUN
ap-4610	30	1	[	[	X
ap-4610	30	2	19	19	NUM
ap-4610	30	3	]	]	PUNCT
ap-4610	30	4	,	,	PUNCT
ap-4610	30	5	and	and	CCONJ
ap-4610	30	6	the	the	DET
ap-4610	30	7	pt	pt	NOUN
ap-4610	30	8	-symmetric	-symmetric	ADJ
ap-4610	30	9	exponential	exponential	ADJ
ap-4610	30	10	potential	potential	NOUN
ap-4610	30	11	[	[	X
ap-4610	30	12	20	20	NUM
ap-4610	30	13	]	]	PUNCT
ap-4610	30	14	.	.	PUNCT
ap-4610	31	1	the	the	DET
ap-4610	31	2	asymptotic	asymptotic	ADJ
ap-4610	31	3	behaviour	behaviour	NOUN
ap-4610	31	4	of	of	ADP
ap-4610	31	5	the	the	DET
ap-4610	31	6	imaginary	imaginary	ADJ
ap-4610	31	7	potential	potential	ADJ
ap-4610	31	8	component	component	NOUN
ap-4610	31	9	was	be	AUX
ap-4610	31	10	found	find	VERB
ap-4610	31	11	to	to	PART
ap-4610	31	12	play	play	VERB
ap-4610	31	13	an	an	DET
ap-4610	31	14	important	important	ADJ
ap-4610	31	15	role	role	NOUN
ap-4610	31	16	in	in	ADP
ap-4610	31	17	determining	determine	VERB
ap-4610	31	18	the	the	DET
ap-4610	31	19	characteristics	characteristic	NOUN
ap-4610	31	20	of	of	ADP
ap-4610	31	21	the	the	DET
ap-4610	31	22	energy	energy	NOUN
ap-4610	31	23	spectrum	spectrum	NOUN
ap-4610	31	24	.	.	PUNCT
ap-4610	32	1	the	the	DET
ap-4610	32	2	pt	pt	PROPN
ap-4610	32	3	-symmetric	-symmetric	ADJ
ap-4610	32	4	scarf	scarf	PROPN
ap-4610	32	5	ii	ii	PROPN
ap-4610	32	6	and	and	CCONJ
ap-4610	32	7	rosen	rosen	PROPN
ap-4610	32	8	–	–	PUNCT
ap-4610	32	9	morse	morse	PROPN
ap-4610	32	10	ii	ii	PROPN
ap-4610	32	11	potentials	potential	VERB
ap-4610	32	12	share	share	VERB
ap-4610	32	13	the	the	DET
ap-4610	32	14	same	same	ADJ
ap-4610	32	15	real	real	ADJ
ap-4610	32	16	component	component	NOUN
ap-4610	32	17	,	,	PUNCT
ap-4610	32	18	cosh−2(x	cosh−2(x	NOUN
ap-4610	32	19	)	)	PUNCT
ap-4610	32	20	,	,	PUNCT
ap-4610	32	21	while	while	SCONJ
ap-4610	32	22	their	their	PRON
ap-4610	32	23	imaginary	imaginary	ADJ
ap-4610	32	24	components	component	NOUN
ap-4610	32	25	are	be	AUX
ap-4610	32	26	different	different	ADJ
ap-4610	32	27	.	.	PUNCT
ap-4610	33	1	in	in	ADP
ap-4610	33	2	the	the	DET
ap-4610	33	3	case	case	NOUN
ap-4610	33	4	of	of	ADP
ap-4610	33	5	the	the	DET
ap-4610	33	6	scarf	scarf	PROPN
ap-4610	33	7	ii	ii	PROPN
ap-4610	33	8	potential	potential	NOUN
ap-4610	33	9	the	the	DET
ap-4610	33	10	imaginary	imaginary	ADJ
ap-4610	33	11	potential	potential	ADJ
ap-4610	33	12	component	component	NOUN
ap-4610	33	13	vanishes	vanish	VERB
ap-4610	33	14	asymptotically	asymptotically	ADV
ap-4610	33	15	,	,	PUNCT
ap-4610	33	16	while	while	SCONJ
ap-4610	33	17	in	in	ADP
ap-4610	33	18	the	the	DET
ap-4610	33	19	case	case	NOUN
ap-4610	33	20	of	of	ADP
ap-4610	33	21	the	the	DET
ap-4610	33	22	rosen	rosen	PROPN
ap-4610	33	23	–	–	PUNCT
ap-4610	33	24	morse	morse	PROPN
ap-4610	33	25	ii	ii	PROPN
ap-4610	33	26	potential	potential	NOUN
ap-4610	33	27	it	it	PRON
ap-4610	33	28	is	be	AUX
ap-4610	33	29	the	the	DET
ap-4610	33	30	i	i	PROPN
ap-4610	33	31	tanh(x	tanh(x	PROPN
ap-4610	33	32	)	)	PUNCT
ap-4610	33	33	function	function	NOUN
ap-4610	33	34	,	,	PUNCT
ap-4610	33	35	reaching	reach	VERB
ap-4610	33	36	finite	finite	ADJ
ap-4610	33	37	values	value	NOUN
ap-4610	33	38	for	for	ADP
ap-4610	33	39	x→	x→	PROPN
ap-4610	33	40	±∞.	±∞.	PROPN
ap-4610	33	41	412	412	NUM
ap-4610	33	42	http://dx.doi.org/10.14311/ap.2017.57.0412	http://dx.doi.org/10.14311/ap.2017.57.0412	ADP
ap-4610	33	43	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4610	33	44	vol	vol	NOUN
ap-4610	33	45	.	.	PUNCT
ap-4610	34	1	57	57	NUM
ap-4610	35	1	no	no	NOUN
ap-4610	35	2	.	.	PUNCT
ap-4610	36	1	6/2017	6/2017	NUM
ap-4610	36	2	common	common	ADJ
ap-4610	36	3	limit	limit	NOUN
ap-4610	36	4	of	of	ADP
ap-4610	36	5	two	two	NUM
ap-4610	36	6	pt	pt	NOUN
ap-4610	36	7	-symmetric	-symmetric	ADJ
ap-4610	36	8	potentials	potential	NOUN
ap-4610	36	9	in	in	ADP
ap-4610	36	10	the	the	DET
ap-4610	36	11	former	former	ADJ
ap-4610	36	12	case	case	NOUN
ap-4610	36	13	the	the	DET
ap-4610	36	14	breakdown	breakdown	NOUN
ap-4610	36	15	of	of	ADP
ap-4610	36	16	pt	pt	NOUN
ap-4610	36	17	symmetry	symmetry	NOUN
ap-4610	36	18	can	can	AUX
ap-4610	36	19	occur	occur	VERB
ap-4610	36	20	[	[	X
ap-4610	36	21	15	15	NUM
ap-4610	36	22	]	]	PUNCT
ap-4610	36	23	,	,	PUNCT
ap-4610	36	24	while	while	SCONJ
ap-4610	36	25	in	in	ADP
ap-4610	36	26	the	the	DET
ap-4610	36	27	latter	latter	ADJ
ap-4610	36	28	the	the	DET
ap-4610	36	29	discrete	discrete	ADJ
ap-4610	36	30	energy	energy	NOUN
ap-4610	36	31	spectrum	spectrum	NOUN
ap-4610	36	32	is	be	AUX
ap-4610	36	33	purely	purely	ADV
ap-4610	36	34	real	real	ADJ
ap-4610	36	35	[	[	X
ap-4610	36	36	10	10	NUM
ap-4610	36	37	]	]	PUNCT
ap-4610	36	38	.	.	PUNCT
ap-4610	37	1	this	this	DET
ap-4610	37	2	latter	latter	ADJ
ap-4610	37	3	finding	finding	NOUN
ap-4610	37	4	was	be	AUX
ap-4610	37	5	later	later	ADV
ap-4610	37	6	proven	prove	VERB
ap-4610	37	7	for	for	ADP
ap-4610	37	8	all	all	DET
ap-4610	37	9	three	three	NUM
ap-4610	37	10	pii	pii	NOUN
ap-4610	37	11	-	-	PUNCT
ap-4610	37	12	class	class	NOUN
ap-4610	37	13	shape	shape	NOUN
ap-4610	37	14	-	-	PUNCT
ap-4610	37	15	invariant	invariant	ADJ
ap-4610	37	16	potentials	potential	NOUN
ap-4610	37	17	(	(	PUNCT
ap-4610	37	18	rosen	rosen	PROPN
ap-4610	37	19	–	–	PUNCT
ap-4610	37	20	morse	morse	PROPN
ap-4610	37	21	i	i	PROPN
ap-4610	37	22	,	,	PUNCT
ap-4610	37	23	ii	ii	PROPN
ap-4610	37	24	,	,	PUNCT
ap-4610	37	25	eckart	eckart	PROPN
ap-4610	37	26	)	)	PUNCT
ap-4610	37	27	using	use	VERB
ap-4610	37	28	a	a	DET
ap-4610	37	29	thorough	thorough	ADJ
ap-4610	37	30	analysis	analysis	NOUN
ap-4610	37	31	of	of	ADP
ap-4610	37	32	pt	pt	NOUN
ap-4610	37	33	-symmetric	-symmetric	ADJ
ap-4610	37	34	natanzon	natanzon	NOUN
ap-4610	37	35	-	-	PUNCT
ap-4610	37	36	class	class	NOUN
ap-4610	37	37	potentials	potential	VERB
ap-4610	37	38	[	[	X
ap-4610	37	39	7	7	NUM
ap-4610	37	40	]	]	PUNCT
ap-4610	37	41	.	.	PUNCT
ap-4610	38	1	this	this	DET
ap-4610	38	2	clear	clear	ADJ
ap-4610	38	3	difference	difference	NOUN
ap-4610	38	4	can	can	AUX
ap-4610	38	5	obviously	obviously	ADV
ap-4610	38	6	be	be	AUX
ap-4610	38	7	attributed	attribute	VERB
ap-4610	38	8	to	to	ADP
ap-4610	38	9	the	the	DET
ap-4610	38	10	different	different	ADJ
ap-4610	38	11	asymptotic	asymptotic	ADJ
ap-4610	38	12	behaviour	behaviour	NOUN
ap-4610	38	13	of	of	ADP
ap-4610	38	14	the	the	DET
ap-4610	38	15	two	two	NUM
ap-4610	38	16	potentials	potential	NOUN
ap-4610	38	17	[	[	X
ap-4610	38	18	21	21	NUM
ap-4610	38	19	]	]	PUNCT
ap-4610	38	20	.	.	PUNCT
ap-4610	39	1	this	this	DET
ap-4610	39	2	peculiar	peculiar	ADJ
ap-4610	39	3	character	character	NOUN
ap-4610	39	4	of	of	ADP
ap-4610	39	5	the	the	DET
ap-4610	39	6	asymptotically	asymptotically	ADV
ap-4610	39	7	constant	constant	ADJ
ap-4610	39	8	imaginary	imaginary	ADJ
ap-4610	39	9	potential	potential	ADJ
ap-4610	39	10	component	component	NOUN
ap-4610	39	11	characterising	characterise	VERB
ap-4610	39	12	the	the	DET
ap-4610	39	13	pt	pt	PROPN
ap-4610	39	14	-symmetric	-symmetric	PROPN
ap-4610	39	15	rosen	rosen	PROPN
ap-4610	39	16	–	–	PUNCT
ap-4610	39	17	morse	morse	PROPN
ap-4610	39	18	ii	ii	PROPN
ap-4610	39	19	potential	potential	NOUN
ap-4610	39	20	inspired	inspire	VERB
ap-4610	39	21	the	the	DET
ap-4610	39	22	investigation	investigation	NOUN
ap-4610	39	23	of	of	ADP
ap-4610	39	24	further	further	ADJ
ap-4610	39	25	potentials	potential	NOUN
ap-4610	39	26	with	with	ADP
ap-4610	39	27	similar	similar	ADJ
ap-4610	39	28	structure	structure	NOUN
ap-4610	39	29	.	.	PUNCT
ap-4610	40	1	a	a	DET
ap-4610	40	2	natural	natural	ADJ
ap-4610	40	3	candidate	candidate	NOUN
ap-4610	40	4	was	be	AUX
ap-4610	40	5	the	the	DET
ap-4610	40	6	finite	finite	ADJ
ap-4610	40	7	pt	pt	X
ap-4610	40	8	symmetric	symmetric	PROPN
ap-4610	40	9	square	square	PROPN
ap-4610	40	10	well	well	INTJ
ap-4610	40	11	potential	potential	ADJ
ap-4610	40	12	[	[	X
ap-4610	40	13	22	22	NUM
ap-4610	40	14	]	]	PUNCT
ap-4610	40	15	,	,	PUNCT
ap-4610	40	16	which	which	PRON
ap-4610	40	17	is	be	AUX
ap-4610	40	18	essentially	essentially	ADV
ap-4610	40	19	the	the	DET
ap-4610	40	20	finite	finite	ADJ
ap-4610	40	21	real	real	ADJ
ap-4610	40	22	square	square	ADJ
ap-4610	40	23	well	well	INTJ
ap-4610	40	24	potential	potential	NOUN
ap-4610	40	25	supplemented	supplement	VERB
ap-4610	40	26	outside	outside	ADP
ap-4610	40	27	the	the	DET
ap-4610	40	28	well	well	NOUN
ap-4610	40	29	by	by	ADP
ap-4610	40	30	a	a	DET
ap-4610	40	31	constant	constant	ADJ
ap-4610	40	32	imaginary	imaginary	ADJ
ap-4610	40	33	component	component	NOUN
ap-4610	40	34	with	with	ADP
ap-4610	40	35	opposite	opposite	ADJ
ap-4610	40	36	sign	sign	NOUN
ap-4610	40	37	on	on	ADP
ap-4610	40	38	the	the	DET
ap-4610	40	39	two	two	NUM
ap-4610	40	40	sides	side	NOUN
ap-4610	40	41	.	.	PUNCT
ap-4610	41	1	in	in	ADP
ap-4610	41	2	a	a	DET
ap-4610	41	3	way	way	NOUN
ap-4610	41	4	,	,	PUNCT
ap-4610	41	5	this	this	DET
ap-4610	41	6	potential	potential	NOUN
ap-4610	41	7	can	can	AUX
ap-4610	41	8	be	be	AUX
ap-4610	41	9	considered	consider	VERB
ap-4610	41	10	an	an	DET
ap-4610	41	11	approximation	approximation	NOUN
ap-4610	41	12	of	of	ADP
ap-4610	41	13	the	the	DET
ap-4610	41	14	pt	pt	PROPN
ap-4610	41	15	symmetric	symmetric	PROPN
ap-4610	41	16	rosen	rosen	PROPN
ap-4610	41	17	–	–	PUNCT
ap-4610	41	18	morse	morse	PROPN
ap-4610	41	19	ii	ii	PROPN
ap-4610	41	20	potential	potential	NOUN
ap-4610	41	21	:	:	PUNCT
ap-4610	41	22	the	the	DET
ap-4610	41	23	cosh−2(x	cosh−2(x	NOUN
ap-4610	41	24	)	)	PUNCT
ap-4610	42	1	and	and	CCONJ
ap-4610	42	2	i	i	PRON
ap-4610	42	3	tanh(x	tanh(x	PROPN
ap-4610	42	4	)	)	PUNCT
ap-4610	42	5	terms	term	NOUN
ap-4610	42	6	are	be	AUX
ap-4610	42	7	mimicked	mimic	VERB
ap-4610	42	8	by	by	ADP
ap-4610	42	9	the	the	DET
ap-4610	42	10	finite	finite	ADJ
ap-4610	42	11	real	real	ADJ
ap-4610	42	12	square	square	NOUN
ap-4610	43	1	well	well	INTJ
ap-4610	43	2	and	and	CCONJ
ap-4610	43	3	the	the	DET
ap-4610	43	4	constant	constant	ADJ
ap-4610	43	5	imaginary	imaginary	ADJ
ap-4610	43	6	terms	term	NOUN
ap-4610	43	7	,	,	PUNCT
ap-4610	43	8	respectively	respectively	ADV
ap-4610	43	9	.	.	PUNCT
ap-4610	44	1	it	it	PRON
ap-4610	44	2	was	be	AUX
ap-4610	44	3	supposed	suppose	VERB
ap-4610	44	4	[	[	X
ap-4610	44	5	22	22	NUM
ap-4610	44	6	]	]	PUNCT
ap-4610	44	7	that	that	SCONJ
ap-4610	44	8	given	give	VERB
ap-4610	44	9	the	the	DET
ap-4610	44	10	similar	similar	ADJ
ap-4610	44	11	shapes	shape	NOUN
ap-4610	44	12	,	,	PUNCT
ap-4610	44	13	the	the	DET
ap-4610	44	14	main	main	ADJ
ap-4610	44	15	physical	physical	ADJ
ap-4610	44	16	features	feature	NOUN
ap-4610	44	17	of	of	ADP
ap-4610	44	18	the	the	DET
ap-4610	44	19	two	two	NUM
ap-4610	44	20	potentials	potential	NOUN
ap-4610	44	21	would	would	AUX
ap-4610	44	22	also	also	ADV
ap-4610	44	23	be	be	AUX
ap-4610	44	24	close	close	ADJ
ap-4610	44	25	to	to	ADP
ap-4610	44	26	each	each	DET
ap-4610	44	27	other	other	ADJ
ap-4610	44	28	.	.	PUNCT
ap-4610	45	1	it	it	PRON
ap-4610	45	2	was	be	AUX
ap-4610	45	3	found	find	VERB
ap-4610	45	4	that	that	SCONJ
ap-4610	45	5	the	the	DET
ap-4610	45	6	energy	energy	NOUN
ap-4610	45	7	spectrum	spectrum	NOUN
ap-4610	45	8	of	of	ADP
ap-4610	45	9	the	the	DET
ap-4610	45	10	finite	finite	ADJ
ap-4610	45	11	pt	pt	NOUN
ap-4610	45	12	-symmetric	-symmetric	ADJ
ap-4610	45	13	square	square	ADJ
ap-4610	45	14	well	well	INTJ
ap-4610	45	15	potential	potential	NOUN
ap-4610	45	16	is	be	AUX
ap-4610	45	17	purely	purely	ADV
ap-4610	45	18	real	real	ADJ
ap-4610	45	19	,	,	PUNCT
ap-4610	45	20	similarly	similarly	ADV
ap-4610	45	21	to	to	ADP
ap-4610	45	22	that	that	PRON
ap-4610	45	23	of	of	ADP
ap-4610	45	24	the	the	DET
ap-4610	45	25	pt	pt	PROPN
ap-4610	45	26	-symmetric	-symmetric	PROPN
ap-4610	45	27	rosen	rosen	PROPN
ap-4610	45	28	–	–	PUNCT
ap-4610	45	29	morse	morse	PROPN
ap-4610	45	30	ii	ii	PROPN
ap-4610	45	31	potential	potential	NOUN
ap-4610	45	32	.	.	PUNCT
ap-4610	46	1	another	another	DET
ap-4610	46	2	similarity	similarity	NOUN
ap-4610	46	3	was	be	AUX
ap-4610	46	4	that	that	SCONJ
ap-4610	46	5	by	by	ADP
ap-4610	46	6	increasing	increase	VERB
ap-4610	46	7	non	non	ADJ
ap-4610	46	8	-	-	NOUN
ap-4610	46	9	hermiticity	hermiticity	ADJ
ap-4610	46	10	,	,	PUNCT
ap-4610	46	11	i.e.	i.e.	X
ap-4610	46	12	the	the	DET
ap-4610	46	13	coupling	coupling	NOUN
ap-4610	46	14	coefficient	coefficient	NOUN
ap-4610	46	15	of	of	ADP
ap-4610	46	16	the	the	DET
ap-4610	46	17	imaginary	imaginary	ADJ
ap-4610	46	18	potential	potential	ADJ
ap-4610	46	19	component	component	NOUN
ap-4610	46	20	,	,	PUNCT
ap-4610	46	21	the	the	DET
ap-4610	46	22	energy	energy	NOUN
ap-4610	46	23	eigenvalues	eigenvalue	NOUN
ap-4610	46	24	are	be	AUX
ap-4610	46	25	rapidly	rapidly	ADV
ap-4610	46	26	lifted	lift	VERB
ap-4610	46	27	to	to	ADP
ap-4610	46	28	the	the	DET
ap-4610	46	29	positive	positive	ADJ
ap-4610	46	30	domain	domain	NOUN
ap-4610	46	31	e	e	X
ap-4610	46	32	>	>	X
ap-4610	46	33	0	0	X
ap-4610	46	34	.	.	PUNCT
ap-4610	47	1	there	there	PRON
ap-4610	47	2	was	be	VERB
ap-4610	47	3	,	,	PUNCT
ap-4610	47	4	however	however	ADV
ap-4610	47	5	,	,	PUNCT
ap-4610	47	6	an	an	DET
ap-4610	47	7	important	important	ADJ
ap-4610	47	8	difference	difference	NOUN
ap-4610	47	9	:	:	PUNCT
ap-4610	47	10	while	while	SCONJ
ap-4610	47	11	the	the	DET
ap-4610	47	12	number	number	NOUN
ap-4610	47	13	of	of	ADP
ap-4610	47	14	bound	bound	ADJ
ap-4610	47	15	states	state	NOUN
ap-4610	47	16	was	be	AUX
ap-4610	47	17	fixed	fix	VERB
ap-4610	47	18	for	for	ADP
ap-4610	47	19	the	the	DET
ap-4610	47	20	rosen	rosen	PROPN
ap-4610	47	21	–	–	PUNCT
ap-4610	47	22	morse	morse	PROPN
ap-4610	47	23	ii	ii	PROPN
ap-4610	47	24	potential	potential	NOUN
ap-4610	47	25	,	,	PUNCT
ap-4610	47	26	it	it	PRON
ap-4610	47	27	was	be	AUX
ap-4610	47	28	infinite	infinite	ADJ
ap-4610	47	29	for	for	ADP
ap-4610	47	30	the	the	DET
ap-4610	47	31	finite	finite	ADJ
ap-4610	47	32	pt	pt	NOUN
ap-4610	47	33	-symmetric	-symmetric	ADJ
ap-4610	47	34	square	square	ADJ
ap-4610	47	35	well	well	INTJ
ap-4610	47	36	potential	potential	NOUN
ap-4610	47	37	.	.	PUNCT
ap-4610	48	1	the	the	DET
ap-4610	48	2	additional	additional	ADJ
ap-4610	48	3	states	state	NOUN
ap-4610	48	4	were	be	AUX
ap-4610	48	5	found	find	VERB
ap-4610	48	6	to	to	PART
ap-4610	48	7	be	be	AUX
ap-4610	48	8	the	the	DET
ap-4610	48	9	equivalents	equivalent	NOUN
ap-4610	48	10	of	of	ADP
ap-4610	48	11	transmission	transmission	NOUN
ap-4610	48	12	resonances	resonance	NOUN
ap-4610	48	13	of	of	ADP
ap-4610	48	14	the	the	DET
ap-4610	48	15	real	real	ADJ
ap-4610	48	16	finite	finite	NOUN
ap-4610	49	1	square	square	PROPN
ap-4610	49	2	well	well	INTJ
ap-4610	49	3	potential	potential	ADJ
ap-4610	49	4	[	[	X
ap-4610	49	5	22	22	NUM
ap-4610	49	6	]	]	PUNCT
ap-4610	49	7	.	.	PUNCT
ap-4610	50	1	these	these	DET
ap-4610	50	2	results	result	NOUN
ap-4610	50	3	naturally	naturally	ADV
ap-4610	50	4	inspire	inspire	VERB
ap-4610	50	5	further	further	ADJ
ap-4610	50	6	investigation	investigation	NOUN
ap-4610	50	7	of	of	ADP
ap-4610	50	8	pt	pt	X
ap-4610	50	9	-symmetric	-symmetric	ADJ
ap-4610	50	10	potentials	potential	NOUN
ap-4610	50	11	with	with	ADP
ap-4610	50	12	asymptotically	asymptotically	ADV
ap-4610	50	13	constant	constant	ADJ
ap-4610	50	14	imaginary	imaginary	ADJ
ap-4610	50	15	component	component	NOUN
ap-4610	50	16	.	.	PUNCT
ap-4610	51	1	here	here	ADV
ap-4610	51	2	a	a	DET
ap-4610	51	3	potential	potential	NOUN
ap-4610	51	4	of	of	ADP
ap-4610	51	5	this	this	DET
ap-4610	51	6	kind	kind	NOUN
ap-4610	51	7	is	be	AUX
ap-4610	51	8	investigated	investigate	VERB
ap-4610	51	9	,	,	PUNCT
ap-4610	51	10	which	which	PRON
ap-4610	51	11	,	,	PUNCT
ap-4610	51	12	furthermore	furthermore	ADV
ap-4610	51	13	,	,	PUNCT
ap-4610	51	14	can	can	AUX
ap-4610	51	15	be	be	AUX
ap-4610	51	16	obtained	obtain	VERB
ap-4610	51	17	as	as	ADP
ap-4610	51	18	the	the	DET
ap-4610	51	19	common	common	ADJ
ap-4610	51	20	limit	limit	NOUN
ap-4610	51	21	of	of	ADP
ap-4610	51	22	the	the	DET
ap-4610	51	23	pt	pt	NOUN
ap-4610	51	24	-symmetric	-symmetric	ADJ
ap-4610	51	25	versions	version	NOUN
ap-4610	51	26	of	of	ADP
ap-4610	51	27	the	the	DET
ap-4610	51	28	rosen	rosen	PROPN
ap-4610	51	29	–	–	PUNCT
ap-4610	51	30	morse	morse	PROPN
ap-4610	51	31	ii	ii	PROPN
ap-4610	51	32	and	and	CCONJ
ap-4610	51	33	finite	finite	PROPN
ap-4610	51	34	square	square	PROPN
ap-4610	52	1	well	well	INTJ
ap-4610	52	2	potentials	potential	VERB
ap-4610	52	3	:	:	PUNCT
ap-4610	53	1	v	v	X
ap-4610	53	2	(	(	PUNCT
ap-4610	53	3	x	x	NOUN
ap-4610	53	4	)	)	PUNCT
ap-4610	53	5	=	=	NOUN
ap-4610	53	6	γδ(x	γδ(x	X
ap-4610	53	7	)	)	PUNCT
ap-4610	54	1	+	+	CCONJ
ap-4610	54	2	i2λ	i2λ	PROPN
ap-4610	54	3	sgn	sgn	NOUN
ap-4610	54	4	x.	x.	NOUN
ap-4610	54	5	(	(	PUNCT
ap-4610	54	6	1	1	X
ap-4610	54	7	)	)	PUNCT
ap-4610	54	8	the	the	DET
ap-4610	54	9	purpose	purpose	NOUN
ap-4610	54	10	of	of	ADP
ap-4610	54	11	this	this	DET
ap-4610	54	12	work	work	NOUN
ap-4610	54	13	is	be	AUX
ap-4610	54	14	to	to	PART
ap-4610	54	15	explore	explore	VERB
ap-4610	54	16	how	how	SCONJ
ap-4610	54	17	the	the	DET
ap-4610	54	18	physical	physical	ADJ
ap-4610	54	19	quantities	quantity	NOUN
ap-4610	54	20	of	of	ADP
ap-4610	54	21	the	the	DET
ap-4610	54	22	pt	pt	PROPN
ap-4610	54	23	-symmetric	-symmetric	PROPN
ap-4610	54	24	rosen	rosen	PROPN
ap-4610	54	25	–	–	PUNCT
ap-4610	54	26	morse	morse	PROPN
ap-4610	54	27	ii	ii	PROPN
ap-4610	54	28	and	and	CCONJ
ap-4610	54	29	finite	finite	PROPN
ap-4610	54	30	square	square	PROPN
ap-4610	54	31	well	well	INTJ
ap-4610	54	32	potentials	potential	NOUN
ap-4610	54	33	behave	behave	VERB
ap-4610	54	34	when	when	SCONJ
ap-4610	54	35	the	the	DET
ap-4610	54	36	limit	limit	NOUN
ap-4610	54	37	as	as	ADP
ap-4610	54	38	above	above	ADV
ap-4610	54	39	is	be	AUX
ap-4610	54	40	implemented	implement	VERB
ap-4610	54	41	.	.	PUNCT
ap-4610	55	1	the	the	DET
ap-4610	55	2	paper	paper	NOUN
ap-4610	55	3	is	be	AUX
ap-4610	55	4	organized	organize	VERB
ap-4610	55	5	as	as	SCONJ
ap-4610	55	6	follows	follow	VERB
ap-4610	55	7	.	.	PUNCT
ap-4610	56	1	sections	section	NOUN
ap-4610	56	2	2	2	NUM
ap-4610	56	3	and	and	CCONJ
ap-4610	56	4	3	3	NUM
ap-4610	56	5	discuss	discuss	VERB
ap-4610	56	6	the	the	DET
ap-4610	56	7	specific	specific	ADJ
ap-4610	56	8	limits	limit	NOUN
ap-4610	56	9	of	of	ADP
ap-4610	56	10	the	the	DET
ap-4610	56	11	pt	pt	PROPN
ap-4610	56	12	-symmetric	-symmetric	PROPN
ap-4610	56	13	rosen	rosen	PROPN
ap-4610	56	14	–	–	PUNCT
ap-4610	56	15	morse	morse	PROPN
ap-4610	56	16	ii	ii	PROPN
ap-4610	56	17	and	and	CCONJ
ap-4610	56	18	finite	finite	PROPN
ap-4610	56	19	square	square	PROPN
ap-4610	56	20	well	well	INTJ
ap-4610	56	21	potentials	potential	NOUN
ap-4610	56	22	,	,	PUNCT
ap-4610	56	23	respectively	respectively	ADV
ap-4610	56	24	.	.	PUNCT
ap-4610	57	1	in	in	ADP
ap-4610	57	2	section	section	NOUN
ap-4610	57	3	4	4	NUM
ap-4610	57	4	the	the	DET
ap-4610	57	5	results	result	NOUN
ap-4610	57	6	are	be	AUX
ap-4610	57	7	summarized	summarize	VERB
ap-4610	57	8	and	and	CCONJ
ap-4610	57	9	are	be	AUX
ap-4610	57	10	compared	compare	VERB
ap-4610	57	11	with	with	ADP
ap-4610	57	12	those	those	PRON
ap-4610	57	13	obtained	obtain	VERB
ap-4610	57	14	for	for	ADP
ap-4610	57	15	other	other	ADJ
ap-4610	57	16	potentials	potential	NOUN
ap-4610	57	17	with	with	ADP
ap-4610	57	18	various	various	ADJ
ap-4610	57	19	asymptotic	asymptotic	ADJ
ap-4610	57	20	behaviour	behaviour	NOUN
ap-4610	57	21	.	.	PUNCT
ap-4610	58	1	2	2	X
ap-4610	58	2	.	.	X
ap-4610	58	3	the	the	DET
ap-4610	58	4	pt	pt	PROPN
ap-4610	58	5	-symmetric	-symmetric	PROPN
ap-4610	58	6	rosen	rosen	PROPN
ap-4610	58	7	–	–	PUNCT
ap-4610	58	8	morse	morse	PROPN
ap-4610	58	9	ii	ii	PROPN
ap-4610	58	10	potential	potential	NOUN
ap-4610	58	11	let	let	VERB
ap-4610	58	12	us	we	PRON
ap-4610	58	13	consider	consider	VERB
ap-4610	59	1	the	the	DET
ap-4610	59	2	potential	potential	ADJ
ap-4610	59	3	v	v	X
ap-4610	59	4	(	(	PUNCT
ap-4610	59	5	x	x	NOUN
ap-4610	59	6	)	)	PUNCT
ap-4610	59	7	=	=	PUNCT
ap-4610	59	8	−s(s+	−s(s+	PROPN
ap-4610	59	9	1)a2	1)a2	NUM
ap-4610	59	10	cosh2(ax	cosh2(ax	NOUN
ap-4610	59	11	)	)	PUNCT
ap-4610	60	1	+	+	CCONJ
ap-4610	60	2	2iλa2	2iλa2	NUM
ap-4610	60	3	tanh(ax	tanh(ax	NOUN
ap-4610	60	4	)	)	PUNCT
ap-4610	60	5	.	.	PUNCT
ap-4610	61	1	(	(	PUNCT
ap-4610	61	2	2	2	X
ap-4610	61	3	)	)	PUNCT
ap-4610	61	4	noting	note	VERB
ap-4610	61	5	that	that	SCONJ
ap-4610	61	6	the	the	DET
ap-4610	61	7	s→	s→	PROPN
ap-4610	61	8	−s−	−s−	NOUN
ap-4610	61	9	1	1	NUM
ap-4610	61	10	replacement	replacement	NOUN
ap-4610	61	11	leaves	leave	VERB
ap-4610	61	12	v	v	NOUN
ap-4610	61	13	(	(	PUNCT
ap-4610	61	14	x	x	NOUN
ap-4610	61	15	)	)	PUNCT
ap-4610	61	16	invariant	invariant	ADJ
ap-4610	61	17	,	,	PUNCT
ap-4610	61	18	we	we	PRON
ap-4610	61	19	may	may	AUX
ap-4610	61	20	chose	choose	VERB
ap-4610	61	21	s	s	PRON
ap-4610	61	22	≥	≥	NOUN
ap-4610	61	23	−1/2	−1/2	ADJ
ap-4610	61	24	.	.	PUNCT
ap-4610	62	1	following	follow	VERB
ap-4610	62	2	the	the	DET
ap-4610	62	3	discussion	discussion	NOUN
ap-4610	62	4	of	of	ADP
ap-4610	62	5	[	[	X
ap-4610	62	6	10	10	NUM
ap-4610	62	7	]	]	PUNCT
ap-4610	62	8	with	with	ADP
ap-4610	62	9	the	the	DET
ap-4610	62	10	difference	difference	NOUN
ap-4610	62	11	that	that	PRON
ap-4610	62	12	x	x	PUNCT
ap-4610	62	13	is	be	AUX
ap-4610	62	14	rescaled	rescale	VERB
ap-4610	62	15	by	by	ADP
ap-4610	62	16	the	the	DET
ap-4610	62	17	positive	positive	ADJ
ap-4610	62	18	real	real	ADJ
ap-4610	62	19	constant	constant	NOUN
ap-4610	62	20	a	a	PRON
ap-4610	62	21	as	as	ADP
ap-4610	62	22	ax	ax	NOUN
ap-4610	62	23	,	,	PUNCT
ap-4610	62	24	the	the	DET
ap-4610	62	25	bound	bind	VERB
ap-4610	62	26	-	-	PUNCT
ap-4610	62	27	state	state	NOUN
ap-4610	62	28	eigenvalues	eigenvalue	NOUN
ap-4610	62	29	are	be	AUX
ap-4610	62	30	en	en	X
ap-4610	62	31	=	=	SYM
ap-4610	62	32	−a2(s−	−a2(s−	PROPN
ap-4610	62	33	n)2	n)2	PROPN
ap-4610	62	34	+	+	CCONJ
ap-4610	62	35	λ2a2	λ2a2	CCONJ
ap-4610	62	36	(	(	PUNCT
ap-4610	62	37	s−	s−	PROPN
ap-4610	62	38	n)2	n)2	PROPN
ap-4610	62	39	,	,	PUNCT
ap-4610	62	40	(	(	PUNCT
ap-4610	62	41	3	3	X
ap-4610	62	42	)	)	PUNCT
ap-4610	62	43	while	while	SCONJ
ap-4610	62	44	the	the	DET
ap-4610	62	45	corresponding	corresponding	ADJ
ap-4610	62	46	wave	wave	NOUN
ap-4610	62	47	functions	function	NOUN
ap-4610	62	48	are	be	AUX
ap-4610	62	49	expressed	express	VERB
ap-4610	62	50	in	in	ADP
ap-4610	62	51	terms	term	NOUN
ap-4610	62	52	of	of	ADP
ap-4610	62	53	jacobi	jacobi	PROPN
ap-4610	62	54	polynomials	polynomial	VERB
ap-4610	62	55	[	[	X
ap-4610	62	56	23	23	NUM
ap-4610	62	57	]	]	PUNCT
ap-4610	62	58	ψn(x	ψn(x	PRON
ap-4610	62	59	)	)	PUNCT
ap-4610	62	60	=	=	PUNCT
ap-4610	63	1	cn(1−	cn(1−	ADJ
ap-4610	63	2	tanh(ax	tanh(ax	NOUN
ap-4610	63	3	)	)	PUNCT
ap-4610	63	4	)	)	PUNCT
ap-4610	64	1	α	α	PRON
ap-4610	64	2	2	2	NUM
ap-4610	64	3	×	×	NOUN
ap-4610	64	4	(	(	PUNCT
ap-4610	64	5	1	1	NUM
ap-4610	64	6	+	+	CCONJ
ap-4610	64	7	tanh(ax	tanh(ax	NOUN
ap-4610	64	8	)	)	PUNCT
ap-4610	64	9	)	)	PUNCT
ap-4610	64	10	β	β	NOUN
ap-4610	64	11	2	2	NUM
ap-4610	64	12	p	p	NOUN
ap-4610	64	13	(	(	PUNCT
ap-4610	64	14	α	α	X
ap-4610	64	15	,	,	PUNCT
ap-4610	64	16	β	β	NOUN
ap-4610	64	17	)	)	PUNCT
ap-4610	64	18	n	n	PROPN
ap-4610	64	19	(	(	PUNCT
ap-4610	64	20	tanh(ax	tanh(ax	NOUN
ap-4610	64	21	)	)	PUNCT
ap-4610	64	22	)	)	PUNCT
ap-4610	64	23	.	.	PUNCT
ap-4610	65	1	(	(	PUNCT
ap-4610	65	2	4	4	X
ap-4610	65	3	)	)	PUNCT
ap-4610	65	4	here	here	ADV
ap-4610	65	5	cn	cn	PROPN
ap-4610	65	6	is	be	AUX
ap-4610	65	7	the	the	DET
ap-4610	65	8	normalization	normalization	NOUN
ap-4610	65	9	constant	constant	ADJ
ap-4610	66	1	cn	cn	PROPN
ap-4610	66	2	=	=	NOUN
ap-4610	66	3	in2n−s	in2n−s	AUX
ap-4610	66	4	|γ(s+	|γ(s+	NOUN
ap-4610	66	5	1	1	NUM
ap-4610	66	6	+	+	CCONJ
ap-4610	66	7	iλ/(s−	iλ/(s−	ADJ
ap-4610	66	8	n))|	n))|	PROPN
ap-4610	66	9	×	×	NOUN
ap-4610	66	10	(	(	PUNCT
ap-4610	66	11	an!γ(2s−	an!γ(2s−	ADP
ap-4610	66	12	n+	n+	PUNCT
ap-4610	66	13	1)((s−	1)((s−	ADJ
ap-4610	66	14	n)2	n)2	NOUN
ap-4610	66	15	+	+	CCONJ
ap-4610	66	16	λ2/(s−	λ2/(s−	PUNCT
ap-4610	66	17	n)2	n)2	NOUN
ap-4610	66	18	)	)	PUNCT
ap-4610	66	19	s−	s−	PROPN
ap-4610	66	20	n	n	PROPN
ap-4610	66	21	)	)	PUNCT
ap-4610	66	22	1/2	1/2	NUM
ap-4610	66	23	(	(	PUNCT
ap-4610	66	24	5	5	NUM
ap-4610	66	25	)	)	PUNCT
ap-4610	66	26	while	while	SCONJ
ap-4610	66	27	αn	αn	NOUN
ap-4610	66	28	=	=	SYM
ap-4610	66	29	s−	s−	PROPN
ap-4610	66	30	n+	n+	NUM
ap-4610	66	31	iλ	iλ	PROPN
ap-4610	66	32	s−	s−	PROPN
ap-4610	66	33	n	n	ADV
ap-4610	66	34	,	,	PUNCT
ap-4610	66	35	βn	βn	X
ap-4610	66	36	=	=	PUNCT
ap-4610	66	37	s−	s−	PROPN
ap-4610	66	38	n−	n−	PROPN
ap-4610	66	39	iλ	iλ	PROPN
ap-4610	66	40	s−	s−	PROPN
ap-4610	66	41	n	n	ADV
ap-4610	66	42	.	.	PUNCT
ap-4610	67	1	(	(	PUNCT
ap-4610	67	2	6	6	X
ap-4610	67	3	)	)	PUNCT
ap-4610	67	4	it	it	PRON
ap-4610	67	5	was	be	AUX
ap-4610	67	6	shown	show	VERB
ap-4610	67	7	in	in	ADP
ap-4610	67	8	[	[	X
ap-4610	67	9	10	10	NUM
ap-4610	67	10	]	]	PUNCT
ap-4610	67	11	that	that	SCONJ
ap-4610	67	12	the	the	DET
ap-4610	67	13	number	number	NOUN
ap-4610	67	14	of	of	ADP
ap-4610	67	15	bound	bound	ADJ
ap-4610	67	16	states	state	NOUN
ap-4610	67	17	is	be	AUX
ap-4610	67	18	always	always	ADV
ap-4610	67	19	finite	finite	ADJ
ap-4610	67	20	,	,	PUNCT
ap-4610	67	21	and	and	CCONJ
ap-4610	67	22	the	the	DET
ap-4610	67	23	upper	upper	ADJ
ap-4610	67	24	limit	limit	NOUN
ap-4610	67	25	does	do	AUX
ap-4610	67	26	not	not	PART
ap-4610	67	27	depend	depend	VERB
ap-4610	67	28	on	on	ADP
ap-4610	67	29	the	the	DET
ap-4610	67	30	parameter	parameter	NOUN
ap-4610	67	31	λ	λ	PROPN
ap-4610	67	32	:	:	PUNCT
ap-4610	67	33	n	n	PROPN
ap-4610	67	34	<	<	X
ap-4610	67	35	s.	s.	PROPN
ap-4610	67	36	(	(	PUNCT
ap-4610	67	37	7	7	X
ap-4610	67	38	)	)	PUNCT
ap-4610	67	39	it	it	PRON
ap-4610	67	40	may	may	AUX
ap-4610	67	41	be	be	AUX
ap-4610	67	42	noted	note	VERB
ap-4610	67	43	that	that	SCONJ
ap-4610	67	44	for	for	ADP
ap-4610	67	45	−1	−1	NOUN
ap-4610	67	46	≤	≤	X
ap-4610	67	47	s	s	PART
ap-4610	67	48	≤	≤	NUM
ap-4610	67	49	0	0	NUM
ap-4610	68	1	the	the	DET
ap-4610	68	2	real	real	ADJ
ap-4610	68	3	component	component	NOUN
ap-4610	68	4	of	of	ADP
ap-4610	68	5	(	(	PUNCT
ap-4610	68	6	2	2	X
ap-4610	68	7	)	)	PUNCT
ap-4610	68	8	turns	turn	VERB
ap-4610	68	9	into	into	ADP
ap-4610	68	10	a	a	DET
ap-4610	68	11	barrier	barrier	NOUN
ap-4610	68	12	with	with	ADP
ap-4610	68	13	vmax(x	vmax(x	NOUN
ap-4610	68	14	)	)	PUNCT
ap-4610	68	15	≤	≤	NOUN
ap-4610	68	16	a2/4	a2/4	NOUN
ap-4610	68	17	,	,	PUNCT
ap-4610	68	18	and	and	CCONJ
ap-4610	68	19	there	there	PRON
ap-4610	68	20	are	be	VERB
ap-4610	68	21	no	no	DET
ap-4610	68	22	bound	bound	ADJ
ap-4610	68	23	states	state	NOUN
ap-4610	68	24	in	in	ADP
ap-4610	68	25	this	this	DET
ap-4610	68	26	case	case	NOUN
ap-4610	68	27	.	.	PUNCT
ap-4610	69	1	let	let	VERB
ap-4610	69	2	us	we	PRON
ap-4610	69	3	reparametrize	reparametrize	VERB
ap-4610	69	4	the	the	DET
ap-4610	69	5	potential	potential	NOUN
ap-4610	69	6	in	in	ADP
ap-4610	69	7	the	the	DET
ap-4610	69	8	following	following	ADJ
ap-4610	69	9	way	way	NOUN
ap-4610	69	10	:	:	PUNCT
ap-4610	69	11	γ	γ	X
ap-4610	69	12	=	=	SYM
ap-4610	69	13	−2as(s+	−2as(s+	PROPN
ap-4610	69	14	1	1	NUM
ap-4610	69	15	)	)	PUNCT
ap-4610	69	16	,	,	PUNCT
ap-4610	69	17	λ	λ	NOUN
ap-4610	69	18	=	=	SYM
ap-4610	69	19	a2λ	a2λ	PROPN
ap-4610	69	20	.	.	PUNCT
ap-4610	70	1	(	(	PUNCT
ap-4610	70	2	8)	8)	NUM
ap-4610	70	3	considering	consider	VERB
ap-4610	70	4	then	then	ADV
ap-4610	70	5	the	the	DET
ap-4610	70	6	following	follow	VERB
ap-4610	70	7	limits	limit	NOUN
ap-4610	70	8	:	:	PUNCT
ap-4610	70	9	δ(x	δ(x	ADJ
ap-4610	70	10	)	)	PUNCT
ap-4610	71	1	=	=	VERB
ap-4610	71	2	lim	lim	PROPN
ap-4610	71	3	a→∞	a→∞	VERB
ap-4610	71	4	a	a	DET
ap-4610	71	5	2	2	NUM
ap-4610	71	6	cosh2(ax	cosh2(ax	NOUN
ap-4610	71	7	)	)	PUNCT
ap-4610	71	8	(	(	PUNCT
ap-4610	71	9	9	9	NUM
ap-4610	71	10	)	)	PUNCT
ap-4610	71	11	and	and	CCONJ
ap-4610	71	12	sgn(x	sgn(x	X
ap-4610	71	13	)	)	PUNCT
ap-4610	71	14	=	=	SYM
ap-4610	72	1	lim	lim	PROPN
ap-4610	72	2	a→∞	a→∞	NUM
ap-4610	72	3	tanh(ax	tanh(ax	PROPN
ap-4610	72	4	)	)	PUNCT
ap-4610	72	5	.	.	PUNCT
ap-4610	73	1	(	(	PUNCT
ap-4610	73	2	10	10	NUM
ap-4610	73	3	)	)	PUNCT
ap-4610	73	4	the	the	DET
ap-4610	73	5	potential	potential	NOUN
ap-4610	73	6	in	in	ADP
ap-4610	73	7	(	(	PUNCT
ap-4610	73	8	2	2	X
ap-4610	73	9	)	)	PUNCT
ap-4610	73	10	can	can	AUX
ap-4610	73	11	be	be	AUX
ap-4610	73	12	transformed	transform	VERB
ap-4610	73	13	into	into	ADP
ap-4610	73	14	v	v	NOUN
ap-4610	73	15	(	(	PUNCT
ap-4610	73	16	x	x	NOUN
ap-4610	73	17	)	)	PUNCT
ap-4610	73	18	=	=	NOUN
ap-4610	73	19	γδ(x	γδ(x	X
ap-4610	73	20	)	)	PUNCT
ap-4610	74	1	+	+	CCONJ
ap-4610	74	2	2iλ	2iλ	ADJ
ap-4610	74	3	sgn(x	sgn(x	NOUN
ap-4610	74	4	)	)	PUNCT
ap-4610	74	5	.	.	PUNCT
ap-4610	75	1	(	(	PUNCT
ap-4610	75	2	11	11	X
ap-4610	75	3	)	)	PUNCT
ap-4610	75	4	let	let	VERB
ap-4610	75	5	us	we	PRON
ap-4610	75	6	now	now	ADV
ap-4610	75	7	clarify	clarify	VERB
ap-4610	75	8	the	the	DET
ap-4610	75	9	effect	effect	NOUN
ap-4610	75	10	of	of	ADP
ap-4610	75	11	this	this	DET
ap-4610	75	12	limit	limit	NOUN
ap-4610	75	13	on	on	ADP
ap-4610	75	14	the	the	DET
ap-4610	75	15	energy	energy	NOUN
ap-4610	75	16	eigenvalues	eigenvalue	NOUN
ap-4610	75	17	(	(	PUNCT
ap-4610	75	18	3	3	NUM
ap-4610	75	19	)	)	PUNCT
ap-4610	75	20	and	and	CCONJ
ap-4610	75	21	wave	wave	NOUN
ap-4610	75	22	functions	function	NOUN
ap-4610	75	23	(	(	PUNCT
ap-4610	75	24	4	4	NUM
ap-4610	75	25	)	)	PUNCT
ap-4610	75	26	.	.	PUNCT
ap-4610	76	1	from	from	ADP
ap-4610	76	2	(	(	PUNCT
ap-4610	76	3	8)	8)	NUM
ap-4610	76	4	it	it	PRON
ap-4610	76	5	follows	follow	VERB
ap-4610	76	6	that	that	PRON
ap-4610	76	7	s	s	VERB
ap-4610	76	8	=	=	X
ap-4610	76	9	−1	−1	NOUN
ap-4610	76	10	2	2	NUM
ap-4610	76	11	(	(	PUNCT
ap-4610	76	12	1−	1−	NUM
ap-4610	76	13	(	(	PUNCT
ap-4610	76	14	1−	1−	NUM
ap-4610	76	15	2γ	2γ	NOUN
ap-4610	76	16	/	/	SYM
ap-4610	76	17	a)1/2	a)1/2	NUM
ap-4610	76	18	)	)	PUNCT
ap-4610	76	19	,	,	PUNCT
ap-4610	76	20	(	(	PUNCT
ap-4610	76	21	12	12	NUM
ap-4610	76	22	)	)	PUNCT
ap-4610	76	23	413	413	NUM
ap-4610	76	24	józsef	józsef	PROPN
ap-4610	76	25	kovács	kovács	PROPN
ap-4610	76	26	,	,	PUNCT
ap-4610	76	27	géza	géza	NOUN
ap-4610	76	28	lévai	lévai	AUX
ap-4610	76	29	acta	acta	PROPN
ap-4610	76	30	polytechnica	polytechnica	PROPN
ap-4610	76	31	where	where	SCONJ
ap-4610	76	32	the	the	DET
ap-4610	76	33	“	"	PUNCT
ap-4610	76	34	−	−	NOUN
ap-4610	76	35	”	"	PUNCT
ap-4610	76	36	sign	sign	NOUN
ap-4610	76	37	inside	inside	ADP
ap-4610	76	38	the	the	DET
ap-4610	76	39	square	square	ADJ
ap-4610	76	40	brackets	bracket	NOUN
ap-4610	76	41	follows	follow	VERB
ap-4610	76	42	from	from	ADP
ap-4610	76	43	the	the	DET
ap-4610	76	44	requirement	requirement	NOUN
ap-4610	76	45	s	s	PROPN
ap-4610	76	46	>	>	X
ap-4610	76	47	0	0	NUM
ap-4610	76	48	.	.	PUNCT
ap-4610	77	1	s	s	PART
ap-4610	77	2	can	can	AUX
ap-4610	77	3	be	be	AUX
ap-4610	77	4	expressed	express	VERB
ap-4610	77	5	in	in	ADP
ap-4610	77	6	a	a	DET
ap-4610	77	7	series	series	NOUN
ap-4610	77	8	involving	involve	VERB
ap-4610	77	9	the	the	DET
ap-4610	77	10	powers	power	NOUN
ap-4610	77	11	of	of	ADP
ap-4610	77	12	1	1	NUM
ap-4610	77	13	/	/	SYM
ap-4610	77	14	a	a	PRON
ap-4610	77	15	as	as	ADP
ap-4610	77	16	s	s	NOUN
ap-4610	77	17	=	=	NOUN
ap-4610	77	18	−	−	PROPN
ap-4610	77	19	γ	γ	NOUN
ap-4610	77	20	2a	2a	NUM
ap-4610	77	21	−	−	PUNCT
ap-4610	78	1	γ2	γ2	ADJ
ap-4610	78	2	4a2	4a2	NUM
ap-4610	79	1	+	+	ADJ
ap-4610	79	2	o(a−3	o(a−3	ADJ
ap-4610	79	3	)	)	PUNCT
ap-4610	79	4	.	.	PUNCT
ap-4610	80	1	(	(	PUNCT
ap-4610	80	2	13	13	X
ap-4610	80	3	)	)	PUNCT
ap-4610	80	4	note	note	VERB
ap-4610	80	5	that	that	SCONJ
ap-4610	80	6	for	for	ADP
ap-4610	80	7	s	s	PRON
ap-4610	80	8	>	>	X
ap-4610	80	9	0	0	PUNCT
ap-4610	81	1	(	(	PUNCT
ap-4610	81	2	8)	8)	NUM
ap-4610	81	3	implies	imply	VERB
ap-4610	81	4	that	that	SCONJ
ap-4610	81	5	γ	γ	X
ap-4610	81	6	<	<	X
ap-4610	81	7	0	0	NUM
ap-4610	81	8	.	.	PUNCT
ap-4610	82	1	recalling	recall	VERB
ap-4610	82	2	(	(	PUNCT
ap-4610	82	3	7	7	X
ap-4610	82	4	)	)	PUNCT
ap-4610	82	5	this	this	DET
ap-4610	82	6	result	result	NOUN
ap-4610	82	7	also	also	ADV
ap-4610	82	8	leads	lead	VERB
ap-4610	82	9	to	to	ADP
ap-4610	82	10	the	the	DET
ap-4610	82	11	finding	finding	NOUN
ap-4610	82	12	that	that	SCONJ
ap-4610	82	13	only	only	ADV
ap-4610	82	14	the	the	DET
ap-4610	82	15	ground	ground	NOUN
ap-4610	82	16	state	state	NOUN
ap-4610	82	17	remains	remain	VERB
ap-4610	82	18	normalizable	normalizable	ADJ
ap-4610	82	19	.	.	PUNCT
ap-4610	83	1	substituting	substitute	VERB
ap-4610	83	2	s	s	PRON
ap-4610	83	3	from	from	ADP
ap-4610	83	4	(	(	PUNCT
ap-4610	83	5	13	13	NUM
ap-4610	83	6	)	)	PUNCT
ap-4610	83	7	and	and	CCONJ
ap-4610	83	8	λ	λ	X
ap-4610	83	9	from	from	ADP
ap-4610	83	10	(	(	PUNCT
ap-4610	83	11	8)	8)	NUM
ap-4610	83	12	one	one	NUM
ap-4610	83	13	finds	find	VERB
ap-4610	83	14	that	that	SCONJ
ap-4610	83	15	in	in	ADP
ap-4610	83	16	the	the	DET
ap-4610	83	17	a→∞	a→∞	NUM
ap-4610	83	18	limit	limit	NOUN
ap-4610	83	19	the	the	DET
ap-4610	83	20	ground	ground	NOUN
ap-4610	83	21	-	-	PUNCT
ap-4610	83	22	state	state	NOUN
ap-4610	83	23	eigenvalue	eigenvalue	NOUN
ap-4610	83	24	becomes	become	VERB
ap-4610	83	25	e0	e0	NOUN
ap-4610	83	26	=	=	PUNCT
ap-4610	83	27	−γ	−γ	VERB
ap-4610	83	28	2	2	NUM
ap-4610	83	29	4	4	NUM
ap-4610	83	30	+	+	SYM
ap-4610	83	31	4λ2	4λ2	NUM
ap-4610	83	32	γ2	γ2	NOUN
ap-4610	83	33	.	.	PUNCT
ap-4610	84	1	(	(	PUNCT
ap-4610	84	2	14	14	NUM
ap-4610	84	3	)	)	PUNCT
ap-4610	84	4	the	the	DET
ap-4610	84	5	corresponding	corresponding	ADJ
ap-4610	84	6	wave	wave	NOUN
ap-4610	84	7	function	function	NOUN
ap-4610	84	8	can	can	AUX
ap-4610	84	9	be	be	AUX
ap-4610	84	10	calculated	calculate	VERB
ap-4610	84	11	after	after	ADP
ap-4610	84	12	substituting	substitute	VERB
ap-4610	84	13	s	s	PRON
ap-4610	84	14	from	from	ADP
ap-4610	84	15	(	(	PUNCT
ap-4610	84	16	13	13	NUM
ap-4610	84	17	)	)	PUNCT
ap-4610	84	18	and	and	CCONJ
ap-4610	84	19	λ	λ	X
ap-4610	84	20	from	from	ADP
ap-4610	84	21	(	(	PUNCT
ap-4610	84	22	8)	8)	NUM
ap-4610	84	23	and	and	CCONJ
ap-4610	84	24	n	n	NOUN
ap-4610	84	25	=	=	NOUN
ap-4610	84	26	0	0	PROPN
ap-4610	84	27	into	into	ADP
ap-4610	84	28	(	(	PUNCT
ap-4610	84	29	4	4	NUM
ap-4610	84	30	)	)	PUNCT
ap-4610	84	31	and	and	CCONJ
ap-4610	84	32	(	(	PUNCT
ap-4610	84	33	5	5	NUM
ap-4610	84	34	)	)	PUNCT
ap-4610	84	35	,	,	PUNCT
ap-4610	84	36	and	and	CCONJ
ap-4610	84	37	taking	take	VERB
ap-4610	84	38	the	the	DET
ap-4610	84	39	a→∞	a→∞	NUM
ap-4610	84	40	limit	limit	NOUN
ap-4610	84	41	:	:	PUNCT
ap-4610	84	42	ψ0(x	ψ0(x	X
ap-4610	84	43	)	)	PUNCT
ap-4610	84	44	=	=	PRON
ap-4610	84	45	{	{	PUNCT
ap-4610	84	46	c0	c0	NOUN
ap-4610	84	47	exp(−κ+x	exp(−κ+x	PROPN
ap-4610	84	48	)	)	PUNCT
ap-4610	84	49	,	,	PUNCT
ap-4610	84	50	x	x	X
ap-4610	84	51	>	>	X
ap-4610	84	52	0	0	PROPN
ap-4610	84	53	,	,	PUNCT
ap-4610	84	54	c0	c0	NOUN
ap-4610	84	55	exp(−κ−x	exp(−κ−x	NUM
ap-4610	84	56	)	)	PUNCT
ap-4610	84	57	,	,	PUNCT
ap-4610	84	58	x	x	X
ap-4610	84	59	<	<	X
ap-4610	84	60	0	0	NUM
ap-4610	84	61	,	,	PUNCT
ap-4610	84	62	(	(	PUNCT
ap-4610	84	63	15	15	NUM
ap-4610	84	64	)	)	PUNCT
ap-4610	84	65	where	where	SCONJ
ap-4610	84	66	κ±	κ±	NOUN
ap-4610	84	67	=	=	SYM
ap-4610	84	68	−ik±	−ik±	PROPN
ap-4610	84	69	=	=	PUNCT
ap-4610	85	1	∓γ2	∓γ2	PRON
ap-4610	85	2	−	−	NOUN
ap-4610	86	1	i	i	PRON
ap-4610	86	2	2λ	2λ	NUM
ap-4610	86	3	γ	γ	X
ap-4610	86	4	,	,	PUNCT
ap-4610	86	5	(	(	PUNCT
ap-4610	86	6	16	16	NUM
ap-4610	86	7	)	)	PUNCT
ap-4610	86	8	and	and	CCONJ
ap-4610	86	9	c0	c0	PROPN
ap-4610	86	10	=	=	PUNCT
ap-4610	86	11	(	(	PUNCT
ap-4610	86	12	−	−	PROPN
ap-4610	86	13	2	2	NUM
ap-4610	86	14	γ	γ	X
ap-4610	86	15	(	(	PUNCT
ap-4610	86	16	γ2	γ2	NOUN
ap-4610	86	17	4	4	NUM
ap-4610	86	18	+	+	SYM
ap-4610	86	19	4λ2	4λ2	NUM
ap-4610	86	20	γ2	γ2	NOUN
ap-4610	86	21	)	)	PUNCT
ap-4610	86	22	)	)	PUNCT
ap-4610	86	23	1/2	1/2	NUM
ap-4610	86	24	.	.	PUNCT
ap-4610	87	1	(	(	PUNCT
ap-4610	87	2	17	17	NUM
ap-4610	87	3	)	)	PUNCT
ap-4610	87	4	it	it	PRON
ap-4610	87	5	can	can	AUX
ap-4610	87	6	be	be	AUX
ap-4610	87	7	seen	see	VERB
ap-4610	87	8	that	that	SCONJ
ap-4610	87	9	(	(	PUNCT
ap-4610	87	10	15	15	NUM
ap-4610	87	11	)	)	PUNCT
ap-4610	87	12	satisfies	satisfie	NOUN
ap-4610	87	13	pt	pt	PROPN
ap-4610	87	14	symmetry	symmetry	NOUN
ap-4610	87	15	,	,	PUNCT
ap-4610	87	16	i.e.	i.e.	X
ap-4610	87	17	pt	pt	X
ap-4610	87	18	ψ0(x	ψ0(x	NUM
ap-4610	87	19	)	)	PUNCT
ap-4610	87	20	=	=	PUNCT
ap-4610	87	21	ψ∗0(−x	ψ∗0(−x	NOUN
ap-4610	87	22	)	)	PUNCT
ap-4610	87	23	=	=	SYM
ap-4610	87	24	ψ0(x	ψ0(x	NUM
ap-4610	87	25	)	)	PUNCT
ap-4610	87	26	.	.	PUNCT
ap-4610	88	1	it	it	PRON
ap-4610	88	2	is	be	AUX
ap-4610	88	3	also	also	ADV
ap-4610	88	4	found	find	VERB
ap-4610	88	5	that	that	SCONJ
ap-4610	88	6	e0	e0	PROPN
ap-4610	88	7	=	=	PUNCT
ap-4610	88	8	−κ2	−κ2	PROPN
ap-4610	88	9	±	±	NUM
ap-4610	88	10	±	±	NUM
ap-4610	88	11	2iλ	2iλ	NOUN
ap-4610	88	12	,	,	PUNCT
ap-4610	88	13	(	(	PUNCT
ap-4610	88	14	18	18	NUM
ap-4610	88	15	)	)	PUNCT
ap-4610	88	16	as	as	SCONJ
ap-4610	88	17	expected	expect	VERB
ap-4610	88	18	.	.	PUNCT
ap-4610	89	1	it	it	PRON
ap-4610	89	2	is	be	AUX
ap-4610	89	3	seen	see	VERB
ap-4610	89	4	that	that	SCONJ
ap-4610	89	5	the	the	DET
ap-4610	89	6	i	i	PROPN
ap-4610	89	7	sgn(x	sgn(x	PROPN
ap-4610	89	8	)	)	PUNCT
ap-4610	89	9	potential	potential	NOUN
ap-4610	89	10	alone	alone	ADV
ap-4610	89	11	can	can	AUX
ap-4610	89	12	not	not	PART
ap-4610	89	13	support	support	VERB
ap-4610	89	14	any	any	DET
ap-4610	89	15	bound	bound	ADJ
ap-4610	89	16	state	state	NOUN
ap-4610	89	17	,	,	PUNCT
ap-4610	89	18	rather	rather	ADV
ap-4610	89	19	the	the	DET
ap-4610	89	20	dirac	dirac	NOUN
ap-4610	89	21	delta	delta	NOUN
ap-4610	89	22	is	be	AUX
ap-4610	89	23	also	also	ADV
ap-4610	89	24	required	require	VERB
ap-4610	89	25	for	for	ADP
ap-4610	89	26	it	it	PRON
ap-4610	89	27	.	.	PUNCT
ap-4610	90	1	this	this	PRON
ap-4610	90	2	is	be	AUX
ap-4610	90	3	similar	similar	ADJ
ap-4610	90	4	to	to	ADP
ap-4610	90	5	the	the	DET
ap-4610	90	6	case	case	NOUN
ap-4610	90	7	of	of	ADP
ap-4610	90	8	the	the	DET
ap-4610	90	9	pt	pt	PROPN
ap-4610	90	10	-symmetric	-symmetric	PROPN
ap-4610	90	11	rosen	rosen	PROPN
ap-4610	90	12	–	–	PUNCT
ap-4610	90	13	morse	morse	PROPN
ap-4610	90	14	ii	ii	PROPN
ap-4610	90	15	potential	potential	NOUN
ap-4610	91	1	[	[	X
ap-4610	91	2	10	10	NUM
ap-4610	91	3	]	]	PUNCT
ap-4610	91	4	:	:	PUNCT
ap-4610	91	5	there	there	ADV
ap-4610	91	6	the	the	DET
ap-4610	91	7	imaginary	imaginary	ADJ
ap-4610	91	8	2iλ	2iλ	ADJ
ap-4610	91	9	tanh(ax	tanh(ax	PROPN
ap-4610	91	10	)	)	PUNCT
ap-4610	91	11	potential	potential	NOUN
ap-4610	91	12	can	can	AUX
ap-4610	91	13	not	not	PART
ap-4610	91	14	support	support	VERB
ap-4610	91	15	bound	bind	VERB
ap-4610	91	16	states	state	NOUN
ap-4610	91	17	without	without	ADP
ap-4610	91	18	the	the	DET
ap-4610	91	19	presence	presence	NOUN
ap-4610	91	20	of	of	ADP
ap-4610	91	21	the	the	DET
ap-4610	91	22	real	real	ADJ
ap-4610	91	23	−s(s+	−s(s+	PROPN
ap-4610	91	24	1)a2/	1)a2/	NUM
ap-4610	91	25	cosh2(ax	cosh2(ax	NOUN
ap-4610	91	26	)	)	PUNCT
ap-4610	91	27	potential	potential	ADJ
ap-4610	91	28	component	component	NOUN
ap-4610	91	29	.	.	PUNCT
ap-4610	92	1	it	it	PRON
ap-4610	92	2	is	be	AUX
ap-4610	92	3	worthwhile	worthwhile	ADJ
ap-4610	92	4	to	to	PART
ap-4610	92	5	check	check	VERB
ap-4610	92	6	some	some	DET
ap-4610	92	7	special	special	ADJ
ap-4610	92	8	cases	case	NOUN
ap-4610	92	9	against	against	ADP
ap-4610	92	10	already	already	ADV
ap-4610	92	11	known	know	VERB
ap-4610	92	12	results	result	NOUN
ap-4610	92	13	.	.	PUNCT
ap-4610	93	1	for	for	ADP
ap-4610	93	2	λ	λ	PROPN
ap-4610	93	3	=	=	SYM
ap-4610	93	4	1/2	1/2	NUM
ap-4610	93	5	the	the	DET
ap-4610	93	6	potential	potential	NOUN
ap-4610	93	7	in	in	ADP
ap-4610	93	8	(	(	PUNCT
ap-4610	93	9	11	11	NUM
ap-4610	93	10	)	)	PUNCT
ap-4610	93	11	reduces	reduce	VERB
ap-4610	93	12	to	to	ADP
ap-4610	93	13	the	the	DET
ap-4610	93	14	one	one	NOUN
ap-4610	93	15	considered	consider	VERB
ap-4610	93	16	in	in	ADP
ap-4610	93	17	[	[	X
ap-4610	93	18	24	24	NUM
ap-4610	93	19	]	]	PUNCT
ap-4610	93	20	,	,	PUNCT
ap-4610	93	21	and	and	CCONJ
ap-4610	93	22	(	(	PUNCT
ap-4610	93	23	14	14	NUM
ap-4610	93	24	)	)	PUNCT
ap-4610	93	25	confirms	confirm	VERB
ap-4610	93	26	the	the	DET
ap-4610	93	27	result	result	NOUN
ap-4610	93	28	e0	e0	PROPN
ap-4610	93	29	=	=	SYM
ap-4610	94	1	−γ2/4	−γ2/4	X
ap-4610	94	2	+	+	ADJ
ap-4610	94	3	1	1	NUM
ap-4610	94	4	/	/	SYM
ap-4610	94	5	γ2	γ2	NOUN
ap-4610	94	6	discussed	discuss	VERB
ap-4610	94	7	there	there	ADV
ap-4610	94	8	.	.	PUNCT
ap-4610	95	1	furthermore	furthermore	ADV
ap-4610	95	2	,	,	PUNCT
ap-4610	95	3	the	the	DET
ap-4610	95	4	λ	λ	PROPN
ap-4610	95	5	=	=	SYM
ap-4610	95	6	0	0	NUM
ap-4610	95	7	choice	choice	NOUN
ap-4610	95	8	recovers	recover	VERB
ap-4610	95	9	the	the	DET
ap-4610	95	10	simple	simple	ADJ
ap-4610	95	11	dirac	dirac	NOUN
ap-4610	95	12	delta	delta	NOUN
ap-4610	95	13	potential	potential	NOUN
ap-4610	96	1	[	[	X
ap-4610	96	2	25	25	NUM
ap-4610	96	3	]	]	PUNCT
ap-4610	96	4	.	.	PUNCT
ap-4610	97	1	finally	finally	ADV
ap-4610	97	2	,	,	PUNCT
ap-4610	97	3	the	the	DET
ap-4610	97	4	hermitian	hermitian	ADJ
ap-4610	97	5	case	case	NOUN
ap-4610	97	6	with	with	ADP
ap-4610	97	7	a	a	DET
ap-4610	97	8	real	real	ADJ
ap-4610	97	9	step	step	NOUN
ap-4610	97	10	function	function	NOUN
ap-4610	97	11	can	can	AUX
ap-4610	97	12	also	also	ADV
ap-4610	97	13	be	be	AUX
ap-4610	97	14	considered	consider	VERB
ap-4610	97	15	after	after	ADP
ap-4610	97	16	replacing	replace	VERB
ap-4610	97	17	λ	λ	PROPN
ap-4610	97	18	→	→	SYM
ap-4610	97	19	±iλ	±iλ	PROPN
ap-4610	97	20	.	.	PUNCT
ap-4610	98	1	in	in	ADP
ap-4610	98	2	this	this	DET
ap-4610	98	3	case	case	NOUN
ap-4610	98	4	κ±	κ±	NOUN
ap-4610	98	5	in	in	ADP
ap-4610	98	6	(	(	PUNCT
ap-4610	98	7	16	16	NUM
ap-4610	98	8	)	)	PUNCT
ap-4610	98	9	become	become	VERB
ap-4610	98	10	real	real	ADJ
ap-4610	98	11	,	,	PUNCT
ap-4610	98	12	and	and	CCONJ
ap-4610	98	13	a	a	DET
ap-4610	98	14	bound	bind	VERB
ap-4610	98	15	state	state	NOUN
ap-4610	98	16	can	can	AUX
ap-4610	98	17	appear	appear	VERB
ap-4610	98	18	only	only	ADV
ap-4610	98	19	for	for	ADP
ap-4610	98	20	γ	γ	X
ap-4610	98	21	2	2	NUM
ap-4610	98	22	+	+	NUM
ap-4610	98	23	2|λ|	2|λ|	NUM
ap-4610	98	24	γ	γ	X
ap-4610	98	25	<	<	X
ap-4610	98	26	0	0	NUM
ap-4610	98	27	,	,	PUNCT
ap-4610	98	28	(	(	PUNCT
ap-4610	98	29	19	19	NUM
ap-4610	98	30	)	)	PUNCT
ap-4610	98	31	i.e.	i.e.	X
ap-4610	98	32	for	for	ADP
ap-4610	98	33	a	a	DET
ap-4610	98	34	negative	negative	ADJ
ap-4610	98	35	γ	γ	X
ap-4610	98	36	satisfying	satisfy	VERB
ap-4610	98	37	γ	γ	X
ap-4610	98	38	<	<	X
ap-4610	98	39	−2(|λ|)1/2	−2(|λ|)1/2	NOUN
ap-4610	98	40	.	.	PUNCT
ap-4610	99	1	the	the	DET
ap-4610	99	2	single	single	ADJ
ap-4610	99	3	real	real	ADJ
ap-4610	99	4	energy	energy	NOUN
ap-4610	99	5	eigenvalue	eigenvalue	NOUN
ap-4610	99	6	can	can	AUX
ap-4610	99	7	also	also	ADV
ap-4610	99	8	be	be	AUX
ap-4610	99	9	obtained	obtain	VERB
ap-4610	99	10	from	from	ADP
ap-4610	99	11	the	the	DET
ap-4610	99	12	transmission	transmission	NOUN
ap-4610	99	13	coefficient	coefficient	NOUN
ap-4610	99	14	.	.	PUNCT
ap-4610	100	1	adapting	adapt	VERB
ap-4610	100	2	the	the	DET
ap-4610	100	3	corresponding	corresponding	ADJ
ap-4610	100	4	formulas	formula	NOUN
ap-4610	100	5	from	from	ADP
ap-4610	100	6	[	[	X
ap-4610	100	7	10	10	NUM
ap-4610	100	8	]	]	SYM
ap-4610	100	9	one	one	NUM
ap-4610	100	10	obtains	obtain	VERB
ap-4610	100	11	for	for	ADP
ap-4610	100	12	an	an	DET
ap-4610	100	13	incoming	incoming	ADJ
ap-4610	100	14	wave	wave	NOUN
ap-4610	100	15	from	from	ADP
ap-4610	100	16	the	the	DET
ap-4610	100	17	left	left	ADJ
ap-4610	100	18	tl→r	tl→r	NOUN
ap-4610	100	19	=	=	SYM
ap-4610	100	20	−ik−a	−ik−a	PROPN
ap-4610	100	21	−s−	−s−	NOUN
ap-4610	101	1	ik−2a	ik−2a	PROPN
ap-4610	101	2	−	−	NOUN
ap-4610	101	3	ik+	ik+	ADJ
ap-4610	101	4	2a	2a	NUM
ap-4610	101	5	×	×	NOUN
ap-4610	101	6	γ(1−	γ(1−	NOUN
ap-4610	101	7	ik−2a	ik−2a	VERB
ap-4610	101	8	−	−	NOUN
ap-4610	101	9	ik+	ik+	ADJ
ap-4610	101	10	2a	2a	NUM
ap-4610	101	11	−	−	PUNCT
ap-4610	101	12	s)γ(1−	s)γ(1−	PROPN
ap-4610	101	13	ik−2a	ik−2a	VERB
ap-4610	101	14	−	−	NOUN
ap-4610	101	15	ik+	ik+	ADJ
ap-4610	101	16	2a	2a	NUM
ap-4610	101	17	+	+	SYM
ap-4610	101	18	s	s	X
ap-4610	101	19	)	)	PUNCT
ap-4610	101	20	γ(1−	γ(1−	NOUN
ap-4610	102	1	ik+	ik+	ADJ
ap-4610	102	2	a	a	DET
ap-4610	102	3	)	)	PUNCT
ap-4610	102	4	γ(1−	γ(1−	NOUN
ap-4610	102	5	ik−a	ik−a	PROPN
ap-4610	102	6	)	)	PUNCT
ap-4610	102	7	(	(	PUNCT
ap-4610	102	8	20	20	NUM
ap-4610	102	9	)	)	PUNCT
ap-4610	102	10	and	and	CCONJ
ap-4610	102	11	rl→r	rl→r	NOUN
ap-4610	102	12	=	=	SYM
ap-4610	102	13	tl→r	tl→r	NOUN
ap-4610	102	14	−s+	−s+	AUX
ap-4610	102	15	ik−2a	ik−2a	VERB
ap-4610	102	16	−	−	PROPN
ap-4610	102	17	ik+	ik+	ADJ
ap-4610	102	18	2a	2a	NUM
ap-4610	102	19	ik−a	ik−a	PROPN
ap-4610	102	20	×	×	PROPN
ap-4610	102	21	γ(1−	γ(1−	NOUN
ap-4610	102	22	ik+	ik+	ADJ
ap-4610	102	23	a	a	PRON
ap-4610	102	24	)	)	PUNCT
ap-4610	102	25	γ(1	γ(1	PROPN
ap-4610	102	26	+	+	CCONJ
ap-4610	102	27	ik−a	ik−a	PROPN
ap-4610	102	28	)	)	PUNCT
ap-4610	103	1	γ(1	γ(1	NOUN
ap-4610	104	1	+	+	PUNCT
ap-4610	104	2	ik−2a	ik−2a	VERB
ap-4610	104	3	−	−	NOUN
ap-4610	104	4	ik+	ik+	ADJ
ap-4610	104	5	2a	2a	NUM
ap-4610	104	6	−	−	PUNCT
ap-4610	105	1	s)γ(1	s)γ(1	NOUN
ap-4610	105	2	+	+	CCONJ
ap-4610	105	3	ik−2a	ik−2a	NOUN
ap-4610	105	4	−	−	NOUN
ap-4610	105	5	ik+	ik+	ADJ
ap-4610	105	6	2a	2a	NUM
ap-4610	105	7	+	+	SYM
ap-4610	105	8	s	s	X
ap-4610	105	9	)	)	PUNCT
ap-4610	105	10	,	,	PUNCT
ap-4610	105	11	(	(	PUNCT
ap-4610	105	12	21	21	NUM
ap-4610	105	13	)	)	PUNCT
ap-4610	105	14	where	where	SCONJ
ap-4610	105	15	k2	k2	PROPN
ap-4610	105	16	±	±	NOUN
ap-4610	105	17	=	=	SYM
ap-4610	105	18	e	e	PROPN
ap-4610	105	19	∓	∓	PROPN
ap-4610	105	20	2iλ	2iλ	NOUN
ap-4610	105	21	(	(	PUNCT
ap-4610	105	22	22	22	NUM
ap-4610	105	23	)	)	PUNCT
ap-4610	105	24	are	be	AUX
ap-4610	105	25	the	the	DET
ap-4610	105	26	squared	square	VERB
ap-4610	105	27	wave	wave	NOUN
ap-4610	105	28	numbers	number	NOUN
ap-4610	105	29	obtained	obtain	VERB
ap-4610	105	30	form	form	NOUN
ap-4610	105	31	the	the	DET
ap-4610	105	32	asymptotic	asymptotic	ADJ
ap-4610	105	33	limits	limit	NOUN
ap-4610	105	34	x→∞	x→∞	NUM
ap-4610	105	35	and	and	CCONJ
ap-4610	105	36	x→	x→	PROPN
ap-4610	105	37	−∞	−∞	NOUN
ap-4610	105	38	,	,	PUNCT
ap-4610	105	39	respectively	respectively	ADV
ap-4610	105	40	.	.	PUNCT
ap-4610	106	1	for	for	ADP
ap-4610	106	2	the	the	DET
ap-4610	106	3	sake	sake	NOUN
ap-4610	106	4	of	of	ADP
ap-4610	106	5	consistency	consistency	NOUN
ap-4610	106	6	the	the	DET
ap-4610	106	7	original	original	ADJ
ap-4610	106	8	notation	notation	NOUN
ap-4610	106	9	k	k	PROPN
ap-4610	106	10	and	and	CCONJ
ap-4610	106	11	k′	k′	PROPN
ap-4610	106	12	was	be	AUX
ap-4610	106	13	replaced	replace	VERB
ap-4610	106	14	by	by	ADP
ap-4610	106	15	k−	k−	PROPN
ap-4610	106	16	and	and	CCONJ
ap-4610	106	17	k+	k+	NOUN
ap-4610	106	18	,	,	PUNCT
ap-4610	106	19	and	and	CCONJ
ap-4610	106	20	an	an	DET
ap-4610	106	21	error	error	NOUN
ap-4610	106	22	in	in	ADP
ap-4610	106	23	the	the	DET
ap-4610	106	24	sign	sign	NOUN
ap-4610	106	25	of	of	ADP
ap-4610	106	26	k′	k′	PROPN
ap-4610	106	27	was	be	AUX
ap-4610	106	28	corrected	correct	VERB
ap-4610	106	29	in	in	ADP
ap-4610	106	30	[	[	X
ap-4610	106	31	10	10	NUM
ap-4610	106	32	,	,	PUNCT
ap-4610	106	33	eqs	eqs	X
ap-4610	106	34	.	.	PUNCT
ap-4610	107	1	(	(	PUNCT
ap-4610	107	2	38)–(41	38)–(41	NUM
ap-4610	107	3	)	)	PUNCT
ap-4610	107	4	]	]	PUNCT
ap-4610	107	5	.	.	PUNCT
ap-4610	108	1	recalling	recall	VERB
ap-4610	108	2	(	(	PUNCT
ap-4610	108	3	13	13	NUM
ap-4610	108	4	)	)	PUNCT
ap-4610	108	5	and	and	CCONJ
ap-4610	108	6	taking	take	VERB
ap-4610	108	7	the	the	DET
ap-4610	108	8	a	a	PRON
ap-4610	108	9	→	→	SYM
ap-4610	108	10	∞	∞	NUM
ap-4610	108	11	limit	limit	NOUN
ap-4610	108	12	the	the	DET
ap-4610	108	13	terms	term	NOUN
ap-4610	108	14	with	with	ADP
ap-4610	108	15	the	the	DET
ap-4610	108	16	gamma	gamma	NOUN
ap-4610	108	17	functions	function	NOUN
ap-4610	108	18	reduce	reduce	VERB
ap-4610	108	19	to	to	ADP
ap-4610	108	20	unity	unity	NOUN
ap-4610	108	21	,	,	PUNCT
ap-4610	108	22	so	so	CCONJ
ap-4610	108	23	(	(	PUNCT
ap-4610	108	24	20	20	NUM
ap-4610	108	25	)	)	PUNCT
ap-4610	108	26	and	and	CCONJ
ap-4610	108	27	(	(	PUNCT
ap-4610	108	28	21	21	NUM
ap-4610	108	29	)	)	PUNCT
ap-4610	108	30	turn	turn	VERB
ap-4610	108	31	into	into	ADP
ap-4610	108	32	tl→r(k−	tl→r(k−	ADP
ap-4610	108	33	,	,	PUNCT
ap-4610	108	34	k+	k+	NOUN
ap-4610	108	35	)	)	PUNCT
ap-4610	108	36	=	=	SYM
ap-4610	108	37	2ik−	2ik−	NUM
ap-4610	108	38	ik−	ik−	PUNCT
ap-4610	108	39	+	+	PUNCT
ap-4610	108	40	ik+	ik+	ADJ
ap-4610	108	41	−	−	NOUN
ap-4610	108	42	γ	γ	X
ap-4610	108	43	(	(	PUNCT
ap-4610	108	44	23	23	NUM
ap-4610	108	45	)	)	PUNCT
ap-4610	108	46	and	and	CCONJ
ap-4610	108	47	rl→r(k−	rl→r(k−	PROPN
ap-4610	108	48	,	,	PUNCT
ap-4610	108	49	k+	k+	NOUN
ap-4610	108	50	)	)	PUNCT
ap-4610	108	51	=	=	SYM
ap-4610	108	52	ik−	ik−	PUNCT
ap-4610	108	53	−	−	NOUN
ap-4610	109	1	ik+	ik+	ADJ
ap-4610	109	2	+	+	CCONJ
ap-4610	109	3	γ	γ	PROPN
ap-4610	109	4	ik−	ik−	PUNCT
ap-4610	109	5	+	+	NOUN
ap-4610	109	6	ik+	ik+	ADJ
ap-4610	109	7	−	−	NOUN
ap-4610	109	8	γ	γ	X
ap-4610	109	9	.	.	PUNCT
ap-4610	110	1	(	(	PUNCT
ap-4610	110	2	24	24	NUM
ap-4610	110	3	)	)	PUNCT
ap-4610	110	4	the	the	DET
ap-4610	110	5	transmission	transmission	NOUN
ap-4610	110	6	and	and	CCONJ
ap-4610	110	7	reflection	reflection	NOUN
ap-4610	110	8	coefficients	coefficient	NOUN
ap-4610	110	9	for	for	ADP
ap-4610	110	10	the	the	DET
ap-4610	110	11	reverse	reverse	ADJ
ap-4610	110	12	direction	direction	NOUN
ap-4610	110	13	are	be	AUX
ap-4610	110	14	obtained	obtain	VERB
ap-4610	110	15	by	by	ADP
ap-4610	110	16	the	the	DET
ap-4610	110	17	k−	k−	PROPN
ap-4610	110	18	↔	↔	PROPN
ap-4610	110	19	k+	k+	NOUN
ap-4610	110	20	replacement	replacement	NOUN
ap-4610	110	21	.	.	PUNCT
ap-4610	111	1	it	it	PRON
ap-4610	111	2	is	be	AUX
ap-4610	111	3	found	find	VERB
ap-4610	111	4	that	that	SCONJ
ap-4610	111	5	tr→l(k−	tr→l(k−	NOUN
ap-4610	111	6	,	,	PUNCT
ap-4610	111	7	k+	k+	NOUN
ap-4610	111	8	)	)	PUNCT
ap-4610	111	9	=	=	SYM
ap-4610	111	10	tl→r(k−	tl→r(k−	PROPN
ap-4610	111	11	,	,	PUNCT
ap-4610	111	12	k+)k+/k−	k+)k+/k−	NOUN
ap-4610	111	13	,	,	PUNCT
ap-4610	111	14	so	so	ADV
ap-4610	111	15	the	the	DET
ap-4610	111	16	difference	difference	NOUN
ap-4610	111	17	is	be	AUX
ap-4610	111	18	represented	represent	VERB
ap-4610	111	19	by	by	ADP
ap-4610	111	20	a	a	DET
ap-4610	111	21	phase	phase	NOUN
ap-4610	111	22	factor	factor	NOUN
ap-4610	111	23	(	(	PUNCT
ap-4610	111	24	as	as	SCONJ
ap-4610	111	25	can	can	AUX
ap-4610	111	26	be	be	AUX
ap-4610	111	27	seen	see	VERB
ap-4610	111	28	from	from	ADP
ap-4610	111	29	(	(	PUNCT
ap-4610	111	30	22	22	NUM
ap-4610	111	31	)	)	PUNCT
ap-4610	111	32	)	)	PUNCT
ap-4610	111	33	,	,	PUNCT
ap-4610	111	34	while	while	SCONJ
ap-4610	111	35	the	the	DET
ap-4610	111	36	reflection	reflection	NOUN
ap-4610	111	37	coefficients	coefficient	NOUN
ap-4610	111	38	are	be	AUX
ap-4610	111	39	related	relate	VERB
ap-4610	111	40	by	by	ADP
ap-4610	111	41	rr→l(k−	rr→l(k−	PROPN
ap-4610	111	42	,	,	PUNCT
ap-4610	111	43	k+	k+	NOUN
ap-4610	111	44	)	)	PUNCT
ap-4610	111	45	=	=	SYM
ap-4610	111	46	rl→r(k−	rl→r(k−	PROPN
ap-4610	111	47	,	,	PUNCT
ap-4610	111	48	k+)(k+	k+)(k+	NOUN
ap-4610	111	49	−	−	PROPN
ap-4610	111	50	k−	k−	PROPN
ap-4610	111	51	−	−	PROPN
ap-4610	111	52	iγ)/(k−	iγ)/(k−	PROPN
ap-4610	111	53	−	−	PROPN
ap-4610	111	54	k+	k+	NOUN
ap-4610	111	55	−	−	NOUN
ap-4610	111	56	iγ	iγ	NOUN
ap-4610	111	57	)	)	PUNCT
ap-4610	111	58	.	.	PUNCT
ap-4610	112	1	this	this	DET
ap-4610	112	2	handedness	handedness	ADJ
ap-4610	112	3	effect	effect	NOUN
ap-4610	112	4	is	be	AUX
ap-4610	112	5	similar	similar	ADJ
ap-4610	112	6	to	to	ADP
ap-4610	112	7	that	that	PRON
ap-4610	112	8	observed	observe	VERB
ap-4610	112	9	for	for	ADP
ap-4610	112	10	the	the	DET
ap-4610	112	11	pt	pt	PROPN
ap-4610	112	12	-symmetric	-symmetric	PROPN
ap-4610	112	13	rosen	rosen	PROPN
ap-4610	112	14	–	–	PUNCT
ap-4610	112	15	morse	morse	PROPN
ap-4610	112	16	ii	ii	PROPN
ap-4610	112	17	potential	potential	NOUN
ap-4610	112	18	[	[	X
ap-4610	112	19	10	10	NUM
ap-4610	112	20	]	]	PUNCT
ap-4610	112	21	.	.	PUNCT
ap-4610	113	1	note	note	VERB
ap-4610	113	2	that	that	SCONJ
ap-4610	113	3	in	in	ADP
ap-4610	113	4	the	the	DET
ap-4610	113	5	case	case	NOUN
ap-4610	113	6	of	of	ADP
ap-4610	113	7	asymptotically	asymptotically	ADV
ap-4610	113	8	vanishing	vanish	VERB
ap-4610	113	9	pt	pt	X
ap-4610	113	10	symmetric	symmetric	ADJ
ap-4610	113	11	potentials	potential	VERB
ap-4610	113	12	the	the	DET
ap-4610	113	13	two	two	NUM
ap-4610	113	14	transmission	transmission	NOUN
ap-4610	113	15	coefficients	coefficient	NOUN
ap-4610	113	16	are	be	AUX
ap-4610	113	17	strictly	strictly	ADV
ap-4610	113	18	identical	identical	ADJ
ap-4610	113	19	[	[	X
ap-4610	113	20	26	26	NUM
ap-4610	113	21	,	,	PUNCT
ap-4610	113	22	27	27	NUM
ap-4610	113	23	]	]	PUNCT
ap-4610	113	24	.	.	PUNCT
ap-4610	114	1	the	the	DET
ap-4610	114	2	connection	connection	NOUN
ap-4610	114	3	of	of	ADP
ap-4610	114	4	the	the	DET
ap-4610	114	5	transmission	transmission	NOUN
ap-4610	114	6	and	and	CCONJ
ap-4610	114	7	reflection	reflection	NOUN
ap-4610	114	8	coefficients	coefficient	NOUN
ap-4610	114	9	to	to	ADP
ap-4610	114	10	the	the	DET
ap-4610	114	11	bound	bound	ADJ
ap-4610	114	12	state	state	NOUN
ap-4610	114	13	(	(	PUNCT
ap-4610	114	14	15	15	NUM
ap-4610	114	15	)	)	PUNCT
ap-4610	114	16	will	will	AUX
ap-4610	114	17	be	be	AUX
ap-4610	114	18	discussed	discuss	VERB
ap-4610	114	19	in	in	ADP
ap-4610	114	20	section	section	NOUN
ap-4610	114	21	3	3	NUM
ap-4610	114	22	,	,	PUNCT
ap-4610	114	23	together	together	ADV
ap-4610	114	24	with	with	ADP
ap-4610	114	25	the	the	DET
ap-4610	114	26	corresponding	corresponding	ADJ
ap-4610	114	27	results	result	NOUN
ap-4610	114	28	obtained	obtain	VERB
ap-4610	114	29	there	there	ADV
ap-4610	114	30	.	.	PUNCT
ap-4610	115	1	3	3	X
ap-4610	115	2	.	.	X
ap-4610	115	3	the	the	DET
ap-4610	115	4	finite	finite	ADJ
ap-4610	115	5	pt	pt	NOUN
ap-4610	115	6	-symmetric	-symmetric	ADJ
ap-4610	115	7	square	square	ADJ
ap-4610	115	8	well	well	INTJ
ap-4610	115	9	potential	potential	NOUN
ap-4610	115	10	let	let	VERB
ap-4610	115	11	us	we	PRON
ap-4610	115	12	consider	consider	VERB
ap-4610	115	13	the	the	DET
ap-4610	115	14	potential	potential	ADJ
ap-4610	115	15	v	v	X
ap-4610	115	16	(	(	PUNCT
ap-4610	115	17	x	x	NOUN
ap-4610	115	18	)	)	PUNCT
ap-4610	115	19	=	=	SYM
ap-4610	115	20			PRON
ap-4610	115	21	−iv	−iv	PROPN
ap-4610	115	22	,	,	PUNCT
ap-4610	115	23	x	x	X
ap-4610	115	24	<	<	X
ap-4610	115	25	−ε	−ε	PROPN
ap-4610	115	26	,	,	PUNCT
ap-4610	115	27	−v0	−v0	PROPN
ap-4610	115	28	,	,	PUNCT
ap-4610	115	29	|x|	|x|	PROPN
ap-4610	115	30	<	<	X
ap-4610	115	31	ε	ε	PROPN
ap-4610	115	32	,	,	PUNCT
ap-4610	115	33	iv	iv	NUM
ap-4610	115	34	,	,	PUNCT
ap-4610	115	35	x	x	X
ap-4610	115	36	>	>	X
ap-4610	115	37	ε	ε	PROPN
ap-4610	115	38	,	,	PUNCT
ap-4610	115	39	(	(	PUNCT
ap-4610	115	40	25	25	NUM
ap-4610	115	41	)	)	PUNCT
ap-4610	115	42	414	414	NUM
ap-4610	115	43	vol	vol	NOUN
ap-4610	115	44	.	.	PUNCT
ap-4610	116	1	57	57	NUM
ap-4610	116	2	no	no	NOUN
ap-4610	116	3	.	.	PUNCT
ap-4610	117	1	6/2017	6/2017	NUM
ap-4610	117	2	common	common	ADJ
ap-4610	117	3	limit	limit	NOUN
ap-4610	117	4	of	of	ADP
ap-4610	117	5	two	two	NUM
ap-4610	117	6	pt	pt	NOUN
ap-4610	117	7	-symmetric	-symmetric	NOUN
ap-4610	117	8	potentials	potential	NOUN
ap-4610	117	9	where	where	SCONJ
ap-4610	117	10	ε	ε	PROPN
ap-4610	117	11	and	and	CCONJ
ap-4610	117	12	v0	v0	PROPN
ap-4610	117	13	take	take	VERB
ap-4610	117	14	on	on	ADP
ap-4610	117	15	positive	positive	ADJ
ap-4610	117	16	real	real	ADJ
ap-4610	117	17	values	value	NOUN
ap-4610	117	18	,	,	PUNCT
ap-4610	117	19	and	and	CCONJ
ap-4610	117	20	v	v	X
ap-4610	117	21	takes	take	VERB
ap-4610	117	22	on	on	ADP
ap-4610	117	23	real	real	ADJ
ap-4610	117	24	value	value	NOUN
ap-4610	117	25	.	.	PUNCT
ap-4610	118	1	for	for	ADP
ap-4610	118	2	the	the	DET
ap-4610	118	3	case	case	NOUN
ap-4610	118	4	v	v	ADP
ap-4610	118	5	=	=	SYM
ap-4610	118	6	0	0	NUM
ap-4610	118	7	potential	potential	NOUN
ap-4610	118	8	(	(	PUNCT
ap-4610	118	9	25	25	NUM
ap-4610	118	10	)	)	PUNCT
ap-4610	118	11	reduces	reduce	VERB
ap-4610	118	12	to	to	ADP
ap-4610	118	13	the	the	DET
ap-4610	118	14	real	real	ADJ
ap-4610	118	15	square	square	ADJ
ap-4610	118	16	well	well	INTJ
ap-4610	118	17	potential	potential	ADJ
ap-4610	118	18	[	[	X
ap-4610	118	19	28	28	NUM
ap-4610	118	20	]	]	PUNCT
ap-4610	118	21	.	.	PUNCT
ap-4610	119	1	the	the	DET
ap-4610	119	2	sign	sign	NOUN
ap-4610	119	3	of	of	ADP
ap-4610	119	4	v	v	NOUN
ap-4610	119	5	is	be	AUX
ap-4610	119	6	not	not	PART
ap-4610	119	7	significant	significant	ADJ
ap-4610	119	8	,	,	PUNCT
ap-4610	119	9	because	because	SCONJ
ap-4610	119	10	changing	change	VERB
ap-4610	119	11	the	the	DET
ap-4610	119	12	sign	sign	NOUN
ap-4610	119	13	of	of	ADP
ap-4610	119	14	v	v	NOUN
ap-4610	119	15	is	be	AUX
ap-4610	119	16	practically	practically	ADV
ap-4610	119	17	equivalent	equivalent	ADJ
ap-4610	119	18	with	with	ADP
ap-4610	119	19	a	a	DET
ap-4610	119	20	spatial	spatial	ADJ
ap-4610	119	21	reflection	reflection	NOUN
ap-4610	119	22	,	,	PUNCT
ap-4610	119	23	i.e.	i.e.	X
ap-4610	119	24	with	with	ADP
ap-4610	119	25	the	the	DET
ap-4610	119	26	p	p	PROPN
ap-4610	119	27	operation	operation	NOUN
ap-4610	119	28	.	.	PUNCT
ap-4610	120	1	following	follow	VERB
ap-4610	120	2	the	the	DET
ap-4610	120	3	discussion	discussion	NOUN
ap-4610	120	4	of	of	ADP
ap-4610	120	5	[	[	X
ap-4610	120	6	22	22	NUM
ap-4610	120	7	]	]	PUNCT
ap-4610	120	8	and	and	CCONJ
ap-4610	120	9	using	use	VERB
ap-4610	120	10	2	2	NUM
ap-4610	120	11	m	m	NOUN
ap-4610	120	12	=	=	SYM
ap-4610	120	13	~	~	PUNCT
ap-4610	120	14	=	=	SYM
ap-4610	120	15	1	1	NUM
ap-4610	120	16	units	unit	NOUN
ap-4610	120	17	the	the	DET
ap-4610	120	18	solution	solution	NOUN
ap-4610	120	19	of	of	ADP
ap-4610	120	20	the	the	DET
ap-4610	120	21	time	time	NOUN
ap-4610	120	22	-	-	PUNCT
ap-4610	120	23	independent	independent	ADJ
ap-4610	120	24	schrödinger	schrödinger	ADJ
ap-4610	120	25	equation	equation	NOUN
ap-4610	120	26	can	can	AUX
ap-4610	120	27	be	be	AUX
ap-4610	120	28	described	describe	VERB
ap-4610	120	29	as	as	ADP
ap-4610	120	30	ψ(x	ψ(x	NOUN
ap-4610	120	31	)	)	PUNCT
ap-4610	121	1	=	=	PUNCT
ap-4610	122	1			PRON
ap-4610	122	2	f−(p−)eip−x	f−(p−)eip−x	VERB
ap-4610	122	3	+	+	CCONJ
ap-4610	122	4	f−(−p−)e−ip−x	f−(−p−)e−ip−x	PROPN
ap-4610	122	5	,	,	PUNCT
ap-4610	122	6	x	x	X
ap-4610	122	7	<	<	X
ap-4610	122	8	−ε	−ε	PROPN
ap-4610	122	9	,	,	PUNCT
ap-4610	122	10	α	α	NOUN
ap-4610	122	11	cos(kx	cos(kx	PROPN
ap-4610	122	12	)	)	PUNCT
ap-4610	123	1	+	+	CCONJ
ap-4610	123	2	iβ	iβ	ADP
ap-4610	123	3	sin(kx	sin(kx	NOUN
ap-4610	123	4	)	)	PUNCT
ap-4610	123	5	,	,	PUNCT
ap-4610	123	6	|x|	|x|	PROPN
ap-4610	123	7	<	<	X
ap-4610	123	8	ε	ε	PROPN
ap-4610	123	9	,	,	PUNCT
ap-4610	123	10	f+(p+)eip+x	f+(p+)eip+x	X
ap-4610	123	11	+	+	SYM
ap-4610	123	12	f+(−p+)e−ip+x	f+(−p+)e−ip+x	NOUN
ap-4610	123	13	,	,	PUNCT
ap-4610	123	14	x	x	X
ap-4610	123	15	>	>	X
ap-4610	123	16	ε	ε	PROPN
ap-4610	123	17	,	,	PUNCT
ap-4610	123	18	(	(	PUNCT
ap-4610	123	19	26	26	NUM
ap-4610	123	20	)	)	PUNCT
ap-4610	123	21	where	where	SCONJ
ap-4610	123	22	p±	p±	NOUN
ap-4610	123	23	=	=	SYM
ap-4610	123	24	(	(	PUNCT
ap-4610	123	25	e	e	PROPN
ap-4610	123	26	∓	∓	PROPN
ap-4610	123	27	iv)1/2	iv)1/2	PROPN
ap-4610	123	28	,	,	PUNCT
ap-4610	123	29	k	k	X
ap-4610	123	30	=	=	PRON
ap-4610	123	31	(	(	PUNCT
ap-4610	123	32	e	e	PROPN
ap-4610	123	33	+	+	CCONJ
ap-4610	123	34	v0)1/2	v0)1/2	ADJ
ap-4610	123	35	.	.	PUNCT
ap-4610	124	1	(	(	PUNCT
ap-4610	124	2	27	27	NUM
ap-4610	124	3	)	)	PUNCT
ap-4610	124	4	e	e	NOUN
ap-4610	124	5	denotes	denote	VERB
ap-4610	124	6	the	the	DET
ap-4610	124	7	energy	energy	NOUN
ap-4610	124	8	eigenvalue	eigenvalue	PROPN
ap-4610	124	9	and	and	CCONJ
ap-4610	124	10	the	the	DET
ap-4610	124	11	complex	complex	ADJ
ap-4610	124	12	square	square	ADJ
ap-4610	124	13	root	root	NOUN
ap-4610	124	14	function	function	NOUN
ap-4610	124	15	is	be	AUX
ap-4610	124	16	understood	understand	VERB
ap-4610	124	17	as	as	ADP
ap-4610	124	18	in	in	ADP
ap-4610	124	19	[	[	X
ap-4610	124	20	23	23	NUM
ap-4610	124	21	]	]	PUNCT
ap-4610	124	22	.	.	PUNCT
ap-4610	125	1	note	note	VERB
ap-4610	125	2	that	that	SCONJ
ap-4610	125	3	in	in	ADP
ap-4610	125	4	this	this	DET
ap-4610	125	5	case	case	NOUN
ap-4610	125	6	[	[	X
ap-4610	125	7	p±]∗	p±]∗	X
ap-4610	125	8	=	=	SYM
ap-4610	125	9	p∓	p∓	PROPN
ap-4610	125	10	holds	hold	VERB
ap-4610	125	11	.	.	PUNCT
ap-4610	126	1	the	the	DET
ap-4610	126	2	coefficients	coefficient	NOUN
ap-4610	126	3	f−(p−	f−(p−	VERB
ap-4610	126	4	)	)	PUNCT
ap-4610	126	5	and	and	CCONJ
ap-4610	126	6	f+(p+	f+(p+	PROPN
ap-4610	126	7	)	)	PUNCT
ap-4610	126	8	can	can	AUX
ap-4610	126	9	be	be	AUX
ap-4610	126	10	determined	determine	VERB
ap-4610	126	11	from	from	ADP
ap-4610	126	12	maching	mache	VERB
ap-4610	126	13	the	the	DET
ap-4610	126	14	solutions	solution	NOUN
ap-4610	126	15	at	at	ADP
ap-4610	126	16	x	x	X
ap-4610	126	17	=	=	SYM
ap-4610	126	18	±ε	±ε	PROPN
ap-4610	126	19	as	as	ADP
ap-4610	126	20	f−(p−	f−(p−	ADJ
ap-4610	126	21	)	)	PUNCT
ap-4610	126	22	=	=	SYM
ap-4610	127	1	1	1	NUM
ap-4610	127	2	2ip−	2ip−	NUM
ap-4610	127	3	eip−ε	eip−ε	NOUN
ap-4610	127	4	(	(	PUNCT
ap-4610	127	5	(	(	PUNCT
ap-4610	127	6	αp−	αp−	X
ap-4610	127	7	+	+	NUM
ap-4610	127	8	βk)i	βk)i	SYM
ap-4610	127	9	cos(kε	cos(kε	NOUN
ap-4610	127	10	)	)	PUNCT
ap-4610	128	1	+	+	ADJ
ap-4610	128	2	(	(	PUNCT
ap-4610	128	3	αk	αk	NOUN
ap-4610	128	4	+	+	NOUN
ap-4610	128	5	βp−	βp−	NUM
ap-4610	128	6	)	)	PUNCT
ap-4610	128	7	sin(kε	sin(kε	NOUN
ap-4610	128	8	)	)	PUNCT
ap-4610	128	9	)	)	PUNCT
ap-4610	128	10	,	,	PUNCT
ap-4610	128	11	(	(	PUNCT
ap-4610	128	12	28	28	NUM
ap-4610	128	13	)	)	PUNCT
ap-4610	128	14	f+(p+	f+(p+	PROPN
ap-4610	128	15	)	)	PUNCT
ap-4610	128	16	=	=	SYM
ap-4610	128	17	1	1	NUM
ap-4610	128	18	2ip+	2ip+	NUM
ap-4610	128	19	e−ip+ε	e−ip+ε	NOUN
ap-4610	128	20	(	(	PUNCT
ap-4610	128	21	(	(	PUNCT
ap-4610	128	22	αp+	αp+	NOUN
ap-4610	128	23	+	+	NUM
ap-4610	128	24	βk)i	βk)i	SYM
ap-4610	128	25	cos(kε	cos(kε	PROPN
ap-4610	128	26	)	)	PUNCT
ap-4610	128	27	−(αk	−(αk	PROPN
ap-4610	128	28	+	+	CCONJ
ap-4610	128	29	βp+	βp+	ADJ
ap-4610	128	30	)	)	PUNCT
ap-4610	128	31	sin(kε	sin(kε	NOUN
ap-4610	128	32	)	)	PUNCT
ap-4610	128	33	)	)	PUNCT
ap-4610	128	34	,	,	PUNCT
ap-4610	128	35	(	(	PUNCT
ap-4610	128	36	29	29	NUM
ap-4610	128	37	)	)	PUNCT
ap-4610	128	38	while	while	SCONJ
ap-4610	128	39	f−(−p−	f−(−p−	NOUN
ap-4610	128	40	)	)	PUNCT
ap-4610	128	41	and	and	CCONJ
ap-4610	128	42	f+(−p+	f+(−p+	NUM
ap-4610	128	43	)	)	PUNCT
ap-4610	128	44	follow	follow	VERB
ap-4610	128	45	from	from	ADP
ap-4610	128	46	(	(	PUNCT
ap-4610	128	47	28	28	NUM
ap-4610	128	48	)	)	PUNCT
ap-4610	128	49	and	and	CCONJ
ap-4610	128	50	(	(	PUNCT
ap-4610	128	51	29	29	NUM
ap-4610	128	52	)	)	PUNCT
ap-4610	128	53	by	by	ADP
ap-4610	128	54	changing	change	VERB
ap-4610	128	55	the	the	DET
ap-4610	128	56	sign	sign	NOUN
ap-4610	128	57	of	of	ADP
ap-4610	128	58	p−	p−	NOUN
ap-4610	128	59	and	and	CCONJ
ap-4610	128	60	p+	p+	NOUN
ap-4610	128	61	.	.	PUNCT
ap-4610	129	1	considering	consider	VERB
ap-4610	129	2	the	the	DET
ap-4610	129	3	case	case	NOUN
ap-4610	129	4	v	v	ADP
ap-4610	129	5	<	<	X
ap-4610	129	6	0	0	NUM
ap-4610	129	7	,	,	PUNCT
ap-4610	129	8	following	follow	VERB
ap-4610	129	9	[	[	X
ap-4610	129	10	22	22	NUM
ap-4610	129	11	]	]	PUNCT
ap-4610	129	12	the	the	DET
ap-4610	129	13	energy	energy	NOUN
ap-4610	129	14	eigenvalues	eigenvalue	VERB
ap-4610	129	15	correspond	correspond	VERB
ap-4610	129	16	to	to	ADP
ap-4610	129	17	solutions	solution	NOUN
ap-4610	129	18	that	that	PRON
ap-4610	129	19	vanish	vanish	VERB
ap-4610	129	20	asymptotically	asymptotically	ADV
ap-4610	129	21	in	in	ADP
ap-4610	129	22	both	both	DET
ap-4610	129	23	directions	direction	NOUN
ap-4610	129	24	are	be	AUX
ap-4610	129	25	searched	search	VERB
ap-4610	129	26	as	as	ADP
ap-4610	129	27	roots	root	NOUN
ap-4610	129	28	of	of	ADP
ap-4610	129	29	equation	equation	NOUN
ap-4610	129	30	2kp+i	2kp+i	NUM
ap-4610	129	31	cos(2kε	cos(2kε	NUM
ap-4610	129	32	)	)	PUNCT
ap-4610	130	1	+	+	CCONJ
ap-4610	130	2	(	(	PUNCT
ap-4610	130	3	p2	p2	X
ap-4610	130	4	+	+	NOUN
ap-4610	130	5	r	r	NOUN
ap-4610	130	6	+	+	CCONJ
ap-4610	130	7	p2	p2	PROPN
ap-4610	130	8	+	+	PROPN
ap-4610	130	9	i	i	PROPN
ap-4610	130	10	−k2	−k2	ADJ
ap-4610	130	11	)	)	PUNCT
ap-4610	130	12	sin(2kε	sin(2kε	NUM
ap-4610	130	13	)	)	PUNCT
ap-4610	131	1	=	=	SYM
ap-4610	131	2	0	0	NUM
ap-4610	131	3	(	(	PUNCT
ap-4610	131	4	30	30	NUM
ap-4610	131	5	)	)	PUNCT
ap-4610	131	6	on	on	ADP
ap-4610	131	7	the	the	DET
ap-4610	131	8	real	real	ADJ
ap-4610	131	9	axis	axis	NOUN
ap-4610	131	10	,	,	PUNCT
ap-4610	131	11	where	where	SCONJ
ap-4610	131	12	p+r	p+r	NUM
ap-4610	131	13	and	and	CCONJ
ap-4610	131	14	p+i	p+i	NUM
ap-4610	131	15	are	be	AUX
ap-4610	131	16	definied	definie	VERB
ap-4610	131	17	as	as	ADP
ap-4610	131	18	the	the	DET
ap-4610	131	19	real	real	ADJ
ap-4610	131	20	and	and	CCONJ
ap-4610	131	21	imaginary	imaginary	ADJ
ap-4610	131	22	part	part	NOUN
ap-4610	131	23	of	of	ADP
ap-4610	131	24	p+	p+	PROPN
ap-4610	131	25	,	,	PUNCT
ap-4610	131	26	i.	i.	PROPN
ap-4610	131	27	e.	e.	PROPN
ap-4610	131	28	p+	p+	PROPN
ap-4610	131	29	=	=	SYM
ap-4610	131	30	p+r	p+r	X
ap-4610	131	31	+	+	NUM
ap-4610	131	32	ip+i	ip+i	PROPN
ap-4610	131	33	.	.	PUNCT
ap-4610	132	1	note	note	VERB
ap-4610	132	2	that	that	SCONJ
ap-4610	132	3	(	(	PUNCT
ap-4610	132	4	30	30	NUM
ap-4610	132	5	)	)	PUNCT
ap-4610	132	6	establishes	establish	VERB
ap-4610	132	7	a	a	DET
ap-4610	132	8	connection	connection	NOUN
ap-4610	132	9	between	between	ADP
ap-4610	132	10	p+r	p+r	NUM
ap-4610	132	11	and	and	CCONJ
ap-4610	132	12	p+i	p+i	NUM
ap-4610	132	13	when	when	SCONJ
ap-4610	132	14	e	e	NOUN
ap-4610	132	15	is	be	AUX
ap-4610	132	16	real	real	ADJ
ap-4610	132	17	.	.	PUNCT
ap-4610	133	1	taking	take	VERB
ap-4610	133	2	into	into	ADP
ap-4610	133	3	consideration	consideration	NOUN
ap-4610	133	4	(	(	PUNCT
ap-4610	133	5	27	27	NUM
ap-4610	133	6	)	)	PUNCT
ap-4610	133	7	and	and	CCONJ
ap-4610	133	8	separating	separate	VERB
ap-4610	133	9	the	the	DET
ap-4610	133	10	real	real	ADJ
ap-4610	133	11	and	and	CCONJ
ap-4610	133	12	imaginary	imaginary	ADJ
ap-4610	133	13	components	component	NOUN
ap-4610	133	14	of	of	ADP
ap-4610	133	15	it	it	PRON
ap-4610	133	16	,	,	PUNCT
ap-4610	133	17	it	it	PRON
ap-4610	133	18	turns	turn	VERB
ap-4610	133	19	out	out	ADP
ap-4610	133	20	that	that	SCONJ
ap-4610	133	21	the	the	DET
ap-4610	133	22	latter	latter	NOUN
ap-4610	133	23	occurs	occur	VERB
ap-4610	133	24	only	only	ADV
ap-4610	133	25	in	in	ADP
ap-4610	133	26	the	the	DET
ap-4610	133	27	second	second	ADJ
ap-4610	133	28	term	term	NOUN
ap-4610	133	29	in	in	ADP
ap-4610	133	30	the	the	DET
ap-4610	133	31	form	form	NOUN
ap-4610	133	32	−i(v+	−i(v+	PUNCT
ap-4610	133	33	2p+rp+i	2p+rp+i	NUM
ap-4610	133	34	)	)	PUNCT
ap-4610	133	35	sin(2kε	sin(2kε	NUM
ap-4610	133	36	)	)	PUNCT
ap-4610	133	37	.	.	PUNCT
ap-4610	134	1	since	since	SCONJ
ap-4610	134	2	this	this	DET
ap-4610	134	3	expression	expression	NOUN
ap-4610	134	4	has	have	VERB
ap-4610	134	5	to	to	PART
ap-4610	134	6	be	be	AUX
ap-4610	134	7	zero	zero	NUM
ap-4610	134	8	in	in	ADP
ap-4610	134	9	general	general	ADJ
ap-4610	134	10	(	(	PUNCT
ap-4610	134	11	irrespective	irrespective	ADV
ap-4610	134	12	of	of	ADP
ap-4610	134	13	ε	ε	PROPN
ap-4610	134	14	)	)	PUNCT
ap-4610	134	15	,	,	PUNCT
ap-4610	134	16	it	it	PRON
ap-4610	134	17	follows	follow	VERB
ap-4610	134	18	that	that	PRON
ap-4610	134	19	p+r	p+r	NOUN
ap-4610	134	20	=	=	NOUN
ap-4610	134	21	−	−	PROPN
ap-4610	134	22	v	v	NUM
ap-4610	134	23	2p+i	2p+i	NUM
ap-4610	134	24	.	.	PUNCT
ap-4610	135	1	(	(	PUNCT
ap-4610	135	2	31	31	NUM
ap-4610	135	3	)	)	PUNCT
ap-4610	135	4	to	to	PART
ap-4610	135	5	reproduce	reproduce	VERB
ap-4610	135	6	(	(	PUNCT
ap-4610	135	7	11	11	NUM
ap-4610	135	8	)	)	PUNCT
ap-4610	135	9	let	let	VERB
ap-4610	135	10	us	we	PRON
ap-4610	135	11	reparametrize	reparametrize	VERB
ap-4610	135	12	the	the	DET
ap-4610	135	13	potential	potential	ADJ
ap-4610	135	14	(	(	PUNCT
ap-4610	135	15	25	25	NUM
ap-4610	135	16	)	)	PUNCT
ap-4610	135	17	by	by	ADP
ap-4610	135	18	introducing	introduce	VERB
ap-4610	135	19	γ	γ	X
ap-4610	135	20	=	=	SYM
ap-4610	135	21	−2εv0	−2εv0	NOUN
ap-4610	135	22	,	,	PUNCT
ap-4610	135	23	λ	λ	X
ap-4610	135	24	=	=	NOUN
ap-4610	135	25	v	v	ADP
ap-4610	135	26	2	2	NUM
ap-4610	135	27	.	.	PUNCT
ap-4610	136	1	(	(	PUNCT
ap-4610	136	2	32	32	NUM
ap-4610	136	3	)	)	PUNCT
ap-4610	136	4	then	then	ADV
ap-4610	136	5	keeping	keep	VERB
ap-4610	136	6	γ	γ	NOUN
ap-4610	136	7	fixed	fix	VERB
ap-4610	136	8	and	and	CCONJ
ap-4610	136	9	considering	consider	VERB
ap-4610	136	10	the	the	DET
ap-4610	136	11	ε→	ε→	NUM
ap-4610	136	12	0	0	NUM
ap-4610	136	13	limit	limit	VERB
ap-4610	136	14	the	the	DET
ap-4610	136	15	potential	potential	NOUN
ap-4610	136	16	in	in	ADP
ap-4610	136	17	(	(	PUNCT
ap-4610	136	18	25	25	NUM
ap-4610	136	19	)	)	PUNCT
ap-4610	136	20	can	can	AUX
ap-4610	136	21	be	be	AUX
ap-4610	136	22	transformed	transform	VERB
ap-4610	136	23	into	into	ADP
ap-4610	136	24	v	v	NOUN
ap-4610	136	25	(	(	PUNCT
ap-4610	136	26	x	x	NOUN
ap-4610	136	27	)	)	PUNCT
ap-4610	136	28	=	=	NOUN
ap-4610	136	29	γδ(x	γδ(x	X
ap-4610	136	30	)	)	PUNCT
ap-4610	137	1	+	+	CCONJ
ap-4610	137	2	2iλ	2iλ	ADJ
ap-4610	137	3	sgn(x	sgn(x	X
ap-4610	137	4	)	)	PUNCT
ap-4610	137	5	(	(	PUNCT
ap-4610	137	6	33	33	NUM
ap-4610	137	7	)	)	PUNCT
ap-4610	137	8	as	as	ADV
ap-4610	137	9	well	well	ADV
ap-4610	137	10	.	.	PUNCT
ap-4610	138	1	in	in	ADP
ap-4610	138	2	this	this	DET
ap-4610	138	3	limit	limit	NOUN
ap-4610	138	4	,	,	PUNCT
ap-4610	138	5	after	after	ADP
ap-4610	138	6	applying	apply	VERB
ap-4610	138	7	the	the	DET
ap-4610	138	8	l’hospital	l’hospital	ADJ
ap-4610	138	9	rule	rule	NOUN
ap-4610	138	10	,	,	PUNCT
ap-4610	138	11	equation	equation	NOUN
ap-4610	138	12	(	(	PUNCT
ap-4610	138	13	30	30	NUM
ap-4610	138	14	)	)	PUNCT
ap-4610	138	15	transform	transform	VERB
ap-4610	138	16	into	into	ADP
ap-4610	138	17	2p+i	2p+i	NUM
ap-4610	138	18	+	+	CCONJ
ap-4610	138	19	γ	γ	X
ap-4610	138	20	=	=	SYM
ap-4610	138	21	0	0	NUM
ap-4610	138	22	.	.	PUNCT
ap-4610	139	1	together	together	ADV
ap-4610	139	2	with	with	ADP
ap-4610	139	3	(	(	PUNCT
ap-4610	139	4	31	31	NUM
ap-4610	139	5	)	)	PUNCT
ap-4610	139	6	and	and	CCONJ
ap-4610	139	7	(	(	PUNCT
ap-4610	139	8	32	32	NUM
ap-4610	139	9	)	)	PUNCT
ap-4610	139	10	this	this	PRON
ap-4610	139	11	means	mean	VERB
ap-4610	139	12	that	that	SCONJ
ap-4610	139	13	there	there	PRON
ap-4610	139	14	is	be	VERB
ap-4610	139	15	a	a	DET
ap-4610	139	16	single	single	ADJ
ap-4610	139	17	bound	bind	VERB
ap-4610	139	18	state	state	NOUN
ap-4610	139	19	with	with	ADP
ap-4610	139	20	p±	p±	PROPN
ap-4610	139	21	=	=	SYM
ap-4610	139	22	2λ	2λ	NUM
ap-4610	139	23	γ	γ	PROPN
ap-4610	139	24	∓	∓	PROPN
ap-4610	139	25	iγ2	iγ2	NOUN
ap-4610	139	26	,	,	PUNCT
ap-4610	139	27	(	(	PUNCT
ap-4610	139	28	34	34	NUM
ap-4610	139	29	)	)	PUNCT
ap-4610	139	30	with	with	ADP
ap-4610	139	31	the	the	DET
ap-4610	139	32	energy	energy	NOUN
ap-4610	139	33	eigenvalue	eigenvalue	NOUN
ap-4610	139	34	e0	e0	PROPN
ap-4610	139	35	=	=	PUNCT
ap-4610	139	36	−γ	−γ	ADP
ap-4610	139	37	2	2	NUM
ap-4610	139	38	4	4	NUM
ap-4610	139	39	+	+	NUM
ap-4610	139	40	4λ2	4λ2	NUM
ap-4610	139	41	γ2	γ2	NOUN
ap-4610	139	42	,	,	PUNCT
ap-4610	139	43	(	(	PUNCT
ap-4610	139	44	35	35	NUM
ap-4610	139	45	)	)	PUNCT
ap-4610	139	46	which	which	PRON
ap-4610	139	47	coincides	coincide	VERB
ap-4610	139	48	with	with	ADP
ap-4610	139	49	(	(	PUNCT
ap-4610	139	50	14	14	NUM
ap-4610	139	51	)	)	PUNCT
ap-4610	139	52	.	.	PUNCT
ap-4610	140	1	the	the	DET
ap-4610	140	2	transmission	transmission	NOUN
ap-4610	140	3	and	and	CCONJ
ap-4610	140	4	reflection	reflection	NOUN
ap-4610	140	5	coefficients	coefficient	NOUN
ap-4610	140	6	can	can	AUX
ap-4610	140	7	be	be	AUX
ap-4610	140	8	obtained	obtain	VERB
ap-4610	140	9	form	form	VERB
ap-4610	140	10	the	the	DET
ap-4610	140	11	corresponding	corresponding	ADJ
ap-4610	140	12	limit	limit	NOUN
ap-4610	140	13	of	of	ADP
ap-4610	140	14	those	those	PRON
ap-4610	140	15	in	in	ADP
ap-4610	140	16	[	[	X
ap-4610	140	17	22	22	NUM
ap-4610	140	18	]	]	PUNCT
ap-4610	140	19	.	.	PUNCT
ap-4610	141	1	these	these	DET
ap-4610	141	2	coefficient	coefficient	NOUN
ap-4610	141	3	for	for	ADP
ap-4610	141	4	an	an	DET
ap-4610	141	5	incoming	incoming	ADJ
ap-4610	141	6	wave	wave	NOUN
ap-4610	141	7	from	from	ADP
ap-4610	141	8	the	the	DET
ap-4610	141	9	left	left	NOUN
ap-4610	141	10	are	be	AUX
ap-4610	141	11	given	give	VERB
ap-4610	141	12	by	by	ADP
ap-4610	141	13	tl→r	tl→r	NOUN
ap-4610	141	14	=	=	SYM
ap-4610	141	15	2ip−ke−ip−εe−ip+ε	2ip−ke−ip−εe−ip+ε	NUM
ap-4610	141	16	ik	ik	PROPN
ap-4610	141	17	cos(2kε)(p++p−	cos(2kε)(p++p−	PROPN
ap-4610	141	18	)	)	PUNCT
ap-4610	142	1	+	+	NUM
ap-4610	142	2	sin(2kε)(p+p−+k2	sin(2kε)(p+p−+k2	X
ap-4610	142	3	)	)	PUNCT
ap-4610	142	4	(	(	PUNCT
ap-4610	142	5	36	36	NUM
ap-4610	142	6	)	)	PUNCT
ap-4610	142	7	and	and	CCONJ
ap-4610	142	8	rl→r	rl→r	NOUN
ap-4610	142	9	=	=	SYM
ap-4610	142	10	e−2ip−ε	e−2ip−ε	PROPN
ap-4610	142	11	×	×	NOUN
ap-4610	142	12	ik(p−	ik(p−	VERB
ap-4610	142	13	−	−	NOUN
ap-4610	142	14	p+	p+	NOUN
ap-4610	142	15	)	)	PUNCT
ap-4610	142	16	cos(2kε	cos(2kε	NUM
ap-4610	142	17	)	)	PUNCT
ap-4610	142	18	+	+	CCONJ
ap-4610	142	19	(	(	PUNCT
ap-4610	142	20	p+p−	p+p−	PROPN
ap-4610	142	21	−	−	PROPN
ap-4610	142	22	k2	k2	PROPN
ap-4610	142	23	)	)	PUNCT
ap-4610	142	24	sin(2kε	sin(2kε	NUM
ap-4610	142	25	)	)	PUNCT
ap-4610	142	26	ik(p+	ik(p+	PROPN
ap-4610	143	1	+	+	NUM
ap-4610	143	2	p−	p−	X
ap-4610	143	3	)	)	PUNCT
ap-4610	143	4	cos(2kε	cos(2kε	NUM
ap-4610	143	5	)	)	PUNCT
ap-4610	143	6	+	+	CCONJ
ap-4610	143	7	(	(	PUNCT
ap-4610	143	8	p+p−	p+p−	PROPN
ap-4610	143	9	+	+	CCONJ
ap-4610	143	10	k2	k2	PROPN
ap-4610	143	11	)	)	PUNCT
ap-4610	143	12	sin(2kε	sin(2kε	NUM
ap-4610	143	13	)	)	PUNCT
ap-4610	143	14	,	,	PUNCT
ap-4610	143	15	(	(	PUNCT
ap-4610	143	16	37	37	NUM
ap-4610	143	17	)	)	PUNCT
ap-4610	143	18	respectively	respectively	ADV
ap-4610	143	19	.	.	PUNCT
ap-4610	144	1	in	in	ADP
ap-4610	144	2	the	the	DET
ap-4610	144	3	ε→	ε→	NUM
ap-4610	144	4	0	0	NUM
ap-4610	144	5	limit	limit	NOUN
ap-4610	144	6	they	they	PRON
ap-4610	144	7	turn	turn	VERB
ap-4610	144	8	into	into	ADP
ap-4610	144	9	tl→r	tl→r	NOUN
ap-4610	144	10	=	=	NUM
ap-4610	144	11	2ip−	2ip−	NUM
ap-4610	144	12	ip−	ip−	PROPN
ap-4610	144	13	+	+	CCONJ
ap-4610	144	14	ip+	ip+	ADJ
ap-4610	144	15	−	−	NOUN
ap-4610	144	16	γ	γ	X
ap-4610	144	17	(	(	PUNCT
ap-4610	144	18	38	38	NUM
ap-4610	144	19	)	)	PUNCT
ap-4610	144	20	and	and	CCONJ
ap-4610	144	21	rl→r	rl→r	NOUN
ap-4610	144	22	=	=	SYM
ap-4610	144	23	ip−	ip−	PROPN
ap-4610	144	24	−	−	NOUN
ap-4610	144	25	ip+	ip+	NOUN
ap-4610	144	26	+	+	CCONJ
ap-4610	144	27	γ	γ	X
ap-4610	144	28	ip−	ip−	X
ap-4610	144	29	+	+	CCONJ
ap-4610	144	30	ip+	ip+	ADJ
ap-4610	144	31	−	−	NOUN
ap-4610	144	32	γ	γ	X
ap-4610	144	33	,	,	PUNCT
ap-4610	144	34	(	(	PUNCT
ap-4610	144	35	39	39	NUM
ap-4610	144	36	)	)	PUNCT
ap-4610	144	37	respectively	respectively	ADV
ap-4610	144	38	.	.	PUNCT
ap-4610	145	1	the	the	DET
ap-4610	145	2	equivalent	equivalent	ADJ
ap-4610	145	3	coefficients	coefficient	NOUN
ap-4610	145	4	for	for	ADP
ap-4610	145	5	a	a	DET
ap-4610	145	6	wave	wave	NOUN
ap-4610	145	7	incoming	incoming	ADJ
ap-4610	145	8	from	from	ADP
ap-4610	145	9	the	the	DET
ap-4610	145	10	right	right	NOUN
ap-4610	145	11	are	be	AUX
ap-4610	145	12	obtained	obtain	VERB
ap-4610	145	13	by	by	ADP
ap-4610	145	14	the	the	DET
ap-4610	145	15	p+	p+	NOUN
ap-4610	145	16	↔	↔	PROPN
ap-4610	145	17	p−	p−	NOUN
ap-4610	145	18	change	change	NOUN
ap-4610	145	19	,	,	PUNCT
ap-4610	145	20	similarly	similarly	ADV
ap-4610	145	21	to	to	ADP
ap-4610	145	22	the	the	DET
ap-4610	145	23	results	result	NOUN
ap-4610	145	24	of	of	ADP
ap-4610	145	25	section	section	NOUN
ap-4610	145	26	2	2	NUM
ap-4610	145	27	.	.	PUNCT
ap-4610	145	28	note	note	VERB
ap-4610	145	29	that	that	SCONJ
ap-4610	145	30	pt	pt	NOUN
ap-4610	145	31	symmetry	symmetry	NOUN
ap-4610	145	32	,	,	PUNCT
ap-4610	145	33	and	and	CCONJ
ap-4610	145	34	in	in	ADP
ap-4610	145	35	particular	particular	ADJ
ap-4610	145	36	,	,	PUNCT
ap-4610	145	37	the	the	DET
ap-4610	145	38	asymptotically	asymptotically	ADV
ap-4610	145	39	non	non	ADJ
ap-4610	145	40	-	-	ADJ
ap-4610	145	41	vanishing	vanishing	ADJ
ap-4610	145	42	potential	potential	ADJ
ap-4610	145	43	component	component	NOUN
ap-4610	145	44	has	have	VERB
ap-4610	145	45	strong	strong	ADJ
ap-4610	145	46	influence	influence	NOUN
ap-4610	145	47	on	on	ADP
ap-4610	145	48	the	the	DET
ap-4610	145	49	asymptotic	asymptotic	ADJ
ap-4610	145	50	properties	property	NOUN
ap-4610	145	51	of	of	ADP
ap-4610	145	52	the	the	DET
ap-4610	145	53	wave	wave	NOUN
ap-4610	145	54	functions	function	NOUN
ap-4610	145	55	,	,	PUNCT
ap-4610	145	56	and	and	CCONJ
ap-4610	145	57	this	this	DET
ap-4610	145	58	fact	fact	NOUN
ap-4610	145	59	manifests	manifest	VERB
ap-4610	145	60	itself	itself	PRON
ap-4610	145	61	in	in	ADP
ap-4610	145	62	the	the	DET
ap-4610	145	63	structure	structure	NOUN
ap-4610	145	64	of	of	ADP
ap-4610	145	65	the	the	DET
ap-4610	145	66	transmission	transmission	NOUN
ap-4610	145	67	and	and	CCONJ
ap-4610	145	68	reflection	reflection	NOUN
ap-4610	145	69	coefficients	coefficient	NOUN
ap-4610	145	70	too	too	ADV
ap-4610	145	71	,	,	PUNCT
ap-4610	145	72	in	in	ADP
ap-4610	145	73	accordance	accordance	NOUN
ap-4610	145	74	with	with	ADP
ap-4610	145	75	the	the	DET
ap-4610	145	76	findings	finding	NOUN
ap-4610	145	77	of	of	ADP
ap-4610	145	78	[	[	X
ap-4610	145	79	22	22	NUM
ap-4610	145	80	]	]	PUNCT
ap-4610	145	81	.	.	PUNCT
ap-4610	146	1	it	it	PRON
ap-4610	146	2	turns	turn	VERB
ap-4610	146	3	out	out	ADP
ap-4610	146	4	that	that	SCONJ
ap-4610	146	5	for	for	ADP
ap-4610	146	6	real	real	ADJ
ap-4610	146	7	e	e	NOUN
ap-4610	146	8	(	(	PUNCT
ap-4610	146	9	as	as	SCONJ
ap-4610	146	10	is	be	AUX
ap-4610	146	11	the	the	DET
ap-4610	146	12	case	case	NOUN
ap-4610	146	13	here	here	ADV
ap-4610	146	14	)	)	PUNCT
ap-4610	146	15	the	the	DET
ap-4610	146	16	asymptotically	asymptotically	ADV
ap-4610	146	17	vanishing	vanishing	NOUN
ap-4610	146	18	(	(	PUNCT
ap-4610	146	19	i.e.	i.e.	X
ap-4610	146	20	bound	bound	ADJ
ap-4610	146	21	)	)	PUNCT
ap-4610	146	22	states	state	NOUN
ap-4610	146	23	can	can	AUX
ap-4610	146	24	be	be	AUX
ap-4610	146	25	identified	identify	VERB
ap-4610	146	26	with	with	ADP
ap-4610	146	27	the	the	DET
ap-4610	146	28	zeros	zero	NOUN
ap-4610	146	29	of	of	ADP
ap-4610	146	30	the	the	DET
ap-4610	146	31	reflection	reflection	NOUN
ap-4610	146	32	coefficents	coefficent	NOUN
ap-4610	146	33	,	,	PUNCT
ap-4610	146	34	rather	rather	ADV
ap-4610	146	35	than	than	ADP
ap-4610	146	36	with	with	ADP
ap-4610	146	37	the	the	DET
ap-4610	146	38	poles	pole	NOUN
ap-4610	146	39	of	of	ADP
ap-4610	146	40	the	the	DET
ap-4610	146	41	transmission	transmission	NOUN
ap-4610	146	42	(	(	PUNCT
ap-4610	146	43	and	and	CCONJ
ap-4610	146	44	reflection	reflection	NOUN
ap-4610	146	45	)	)	PUNCT
ap-4610	146	46	coefficients	coefficient	NOUN
ap-4610	146	47	.	.	PUNCT
ap-4610	147	1	the	the	DET
ap-4610	147	2	reason	reason	NOUN
ap-4610	147	3	is	be	AUX
ap-4610	147	4	that	that	SCONJ
ap-4610	147	5	in	in	ADP
ap-4610	147	6	these	these	DET
ap-4610	147	7	solutions	solution	NOUN
ap-4610	147	8	exp(±ip±x	exp(±ip±x	NOUN
ap-4610	147	9	)	)	PUNCT
ap-4610	147	10	occur	occur	VERB
ap-4610	147	11	with	with	ADP
ap-4610	147	12	the	the	DET
ap-4610	147	13	same	same	ADJ
ap-4610	147	14	sign	sign	NOUN
ap-4610	147	15	in	in	ADP
ap-4610	147	16	the	the	DET
ap-4610	147	17	exponent	exponent	NOUN
ap-4610	147	18	for	for	ADP
ap-4610	147	19	both	both	PRON
ap-4610	147	20	x	x	SYM
ap-4610	147	21	>	>	PUNCT
ap-4610	147	22	0	0	PUNCT
ap-4610	148	1	and	and	CCONJ
ap-4610	148	2	x	x	X
ap-4610	148	3	<	<	X
ap-4610	148	4	0	0	NUM
ap-4610	148	5	,	,	PUNCT
ap-4610	148	6	corresponding	correspond	VERB
ap-4610	148	7	to	to	ADP
ap-4610	148	8	a	a	DET
ap-4610	148	9	transmitting	transmit	VERB
ap-4610	148	10	wave	wave	NOUN
ap-4610	148	11	.	.	PUNCT
ap-4610	149	1	in	in	ADP
ap-4610	149	2	particular	particular	ADJ
ap-4610	149	3	,	,	PUNCT
ap-4610	149	4	for	for	ADP
ap-4610	149	5	the	the	DET
ap-4610	149	6	potential	potential	ADJ
ap-4610	149	7	(	(	PUNCT
ap-4610	149	8	33	33	NUM
ap-4610	149	9	)	)	PUNCT
ap-4610	149	10	the	the	DET
ap-4610	149	11	bound	bind	VERB
ap-4610	149	12	state	state	NOUN
ap-4610	149	13	occurs	occur	VERB
ap-4610	149	14	for	for	ADP
ap-4610	149	15	2p+i	2p+i	NUM
ap-4610	149	16	+	+	CCONJ
ap-4610	149	17	γ	γ	X
ap-4610	149	18	=	=	SYM
ap-4610	149	19	0	0	PROPN
ap-4610	149	20	,	,	PUNCT
ap-4610	149	21	which	which	PRON
ap-4610	149	22	is	be	AUX
ap-4610	149	23	the	the	DET
ap-4610	149	24	zero	zero	NUM
ap-4610	149	25	of	of	ADP
ap-4610	149	26	(	(	PUNCT
ap-4610	149	27	39	39	NUM
ap-4610	149	28	)	)	PUNCT
ap-4610	149	29	,	,	PUNCT
ap-4610	149	30	while	while	SCONJ
ap-4610	149	31	for	for	ADP
ap-4610	149	32	the	the	DET
ap-4610	149	33	reverse	reverse	ADJ
ap-4610	149	34	direction	direction	NOUN
ap-4610	149	35	,	,	PUNCT
ap-4610	149	36	the	the	DET
ap-4610	149	37	zero	zero	NUM
ap-4610	149	38	of	of	ADP
ap-4610	149	39	rr→l	rr→l	PROPN
ap-4610	149	40	occurs	occur	VERB
ap-4610	149	41	at	at	ADP
ap-4610	149	42	2p−i	2p−i	NOUN
ap-4610	149	43	+	+	CCONJ
ap-4610	149	44	γ	γ	X
ap-4610	149	45	=	=	SYM
ap-4610	149	46	0	0	NUM
ap-4610	149	47	=	=	SYM
ap-4610	149	48	−2p+i	−2p+i	NOUN
ap-4610	149	49	+	+	CCONJ
ap-4610	149	50	γ	γ	PROPN
ap-4610	149	51	corresponding	correspond	VERB
ap-4610	149	52	to	to	ADP
ap-4610	149	53	the	the	DET
ap-4610	149	54	interchange	interchange	NOUN
ap-4610	149	55	of	of	ADP
ap-4610	149	56	p−	p−	NOUN
ap-4610	149	57	and	and	CCONJ
ap-4610	149	58	p+	p+	NOUN
ap-4610	149	59	or	or	CCONJ
ap-4610	149	60	spatial	spatial	ADJ
ap-4610	149	61	reflection	reflection	NOUN
ap-4610	149	62	.	.	PUNCT
ap-4610	150	1	the	the	DET
ap-4610	150	2	same	same	ADJ
ap-4610	150	3	results	result	NOUN
ap-4610	150	4	are	be	AUX
ap-4610	150	5	obtained	obtain	VERB
ap-4610	150	6	from	from	ADP
ap-4610	150	7	the	the	DET
ap-4610	150	8	discussion	discussion	NOUN
ap-4610	150	9	of	of	ADP
ap-4610	150	10	section	section	NOUN
ap-4610	150	11	2	2	NUM
ap-4610	150	12	too	too	ADV
ap-4610	150	13	.	.	PUNCT
ap-4610	151	1	415	415	NUM
ap-4610	151	2	józsef	józsef	PROPN
ap-4610	151	3	kovács	kovács	PROPN
ap-4610	151	4	,	,	PUNCT
ap-4610	151	5	géza	géza	NOUN
ap-4610	151	6	lévai	lévai	PROPN
ap-4610	151	7	acta	acta	PROPN
ap-4610	151	8	polytechnica	polytechnica	PROPN
ap-4610	151	9	4	4	NUM
ap-4610	151	10	.	.	PUNCT
ap-4610	151	11	conclusions	conclusion	NOUN
ap-4610	151	12	we	we	PRON
ap-4610	151	13	investigated	investigate	VERB
ap-4610	151	14	the	the	DET
ap-4610	151	15	pt	pt	PROPN
ap-4610	151	16	-symmetric	-symmetric	PROPN
ap-4610	151	17	rosen	rosen	PROPN
ap-4610	151	18	–	–	PUNCT
ap-4610	151	19	morse	morse	PROPN
ap-4610	151	20	ii	ii	PROPN
ap-4610	151	21	and	and	CCONJ
ap-4610	151	22	finite	finite	PROPN
ap-4610	151	23	square	square	PROPN
ap-4610	152	1	well	well	INTJ
ap-4610	152	2	potentials	potential	VERB
ap-4610	152	3	in	in	ADP
ap-4610	152	4	the	the	DET
ap-4610	152	5	limit	limit	NOUN
ap-4610	152	6	when	when	SCONJ
ap-4610	152	7	their	their	PRON
ap-4610	152	8	real	real	ADJ
ap-4610	152	9	even	even	ADJ
ap-4610	152	10	potential	potential	ADJ
ap-4610	152	11	component	component	NOUN
ap-4610	152	12	turns	turn	VERB
ap-4610	152	13	into	into	ADP
ap-4610	152	14	the	the	DET
ap-4610	152	15	dirac	dirac	NOUN
ap-4610	152	16	delta	delta	NOUN
ap-4610	152	17	,	,	PUNCT
ap-4610	152	18	while	while	SCONJ
ap-4610	152	19	their	their	PRON
ap-4610	152	20	imaginary	imaginary	ADJ
ap-4610	152	21	odd	odd	ADJ
ap-4610	152	22	component	component	NOUN
ap-4610	152	23	tend	tend	VERB
ap-4610	152	24	to	to	ADP
ap-4610	152	25	the	the	DET
ap-4610	152	26	sign	sign	NOUN
ap-4610	152	27	function	function	NOUN
ap-4610	152	28	,	,	PUNCT
ap-4610	152	29	respectively	respectively	ADV
ap-4610	152	30	.	.	PUNCT
ap-4610	153	1	the	the	DET
ap-4610	153	2	energy	energy	NOUN
ap-4610	153	3	spectrum	spectrum	NOUN
ap-4610	153	4	was	be	AUX
ap-4610	153	5	found	find	VERB
ap-4610	153	6	to	to	PART
ap-4610	153	7	contain	contain	VERB
ap-4610	153	8	a	a	DET
ap-4610	153	9	single	single	ADJ
ap-4610	153	10	real	real	ADJ
ap-4610	153	11	eigenvalue	eigenvalue	NOUN
ap-4610	153	12	for	for	ADP
ap-4610	153	13	γ	γ	X
ap-4610	153	14	<	<	X
ap-4610	153	15	0	0	NUM
ap-4610	153	16	and	and	CCONJ
ap-4610	153	17	arbitrary	arbitrary	ADJ
ap-4610	153	18	λ	λ	NOUN
ap-4610	153	19	,	,	PUNCT
ap-4610	153	20	depending	depend	VERB
ap-4610	153	21	on	on	ADP
ap-4610	153	22	both	both	DET
ap-4610	153	23	parameters	parameter	NOUN
ap-4610	153	24	.	.	PUNCT
ap-4610	154	1	the	the	DET
ap-4610	154	2	transmission	transmission	NOUN
ap-4610	154	3	and	and	CCONJ
ap-4610	154	4	reflection	reflection	NOUN
ap-4610	154	5	coefficients	coefficient	NOUN
ap-4610	154	6	were	be	AUX
ap-4610	154	7	also	also	ADV
ap-4610	154	8	determined	determine	VERB
ap-4610	154	9	,	,	PUNCT
ap-4610	154	10	and	and	CCONJ
ap-4610	154	11	it	it	PRON
ap-4610	154	12	was	be	AUX
ap-4610	154	13	found	find	VERB
ap-4610	154	14	that	that	SCONJ
ap-4610	154	15	they	they	PRON
ap-4610	154	16	exhibit	exhibit	VERB
ap-4610	154	17	the	the	DET
ap-4610	154	18	expected	expect	VERB
ap-4610	154	19	handedness	handedness	NOUN
ap-4610	154	20	effect	effect	NOUN
ap-4610	154	21	.	.	PUNCT
ap-4610	155	1	the	the	DET
ap-4610	155	2	results	result	NOUN
ap-4610	155	3	of	of	ADP
ap-4610	155	4	[	[	X
ap-4610	155	5	24	24	NUM
ap-4610	155	6	]	]	PUNCT
ap-4610	155	7	were	be	AUX
ap-4610	155	8	recovered	recover	VERB
ap-4610	155	9	for	for	ADP
ap-4610	155	10	the	the	DET
ap-4610	155	11	bound	bind	VERB
ap-4610	155	12	-	-	PUNCT
ap-4610	155	13	state	state	NOUN
ap-4610	155	14	energy	energy	NOUN
ap-4610	155	15	after	after	ADP
ap-4610	155	16	setting	set	VERB
ap-4610	155	17	λ	λ	X
ap-4610	155	18	=	=	SYM
ap-4610	155	19	1/2	1/2	NUM
ap-4610	155	20	,	,	PUNCT
ap-4610	155	21	while	while	SCONJ
ap-4610	155	22	for	for	ADP
ap-4610	155	23	λ	λ	NOUN
ap-4610	155	24	=	=	SYM
ap-4610	155	25	0	0	NUM
ap-4610	156	1	the	the	DET
ap-4610	156	2	dirac	dirac	PROPN
ap-4610	156	3	delta	delta	NOUN
ap-4610	156	4	potential	potential	NOUN
ap-4610	156	5	was	be	AUX
ap-4610	156	6	obtained	obtain	VERB
ap-4610	156	7	.	.	PUNCT
ap-4610	157	1	the	the	DET
ap-4610	157	2	results	result	NOUN
ap-4610	157	3	were	be	AUX
ap-4610	157	4	also	also	ADV
ap-4610	157	5	derived	derive	VERB
ap-4610	157	6	for	for	ADP
ap-4610	157	7	the	the	DET
ap-4610	157	8	hermitian	hermitian	ADJ
ap-4610	157	9	version	version	NOUN
ap-4610	157	10	of	of	ADP
ap-4610	157	11	this	this	DET
ap-4610	157	12	potential	potential	NOUN
ap-4610	157	13	with	with	ADP
ap-4610	157	14	an	an	DET
ap-4610	157	15	imaginary	imaginary	ADJ
ap-4610	157	16	λ	λ	NOUN
ap-4610	157	17	.	.	PUNCT
ap-4610	158	1	the	the	DET
ap-4610	158	2	transmission	transmission	NOUN
ap-4610	158	3	and	and	CCONJ
ap-4610	158	4	reflection	reflection	NOUN
ap-4610	158	5	coefficients	coefficient	NOUN
ap-4610	158	6	were	be	AUX
ap-4610	158	7	also	also	ADV
ap-4610	158	8	considered	consider	VERB
ap-4610	158	9	in	in	ADP
ap-4610	158	10	the	the	DET
ap-4610	158	11	appropriate	appropriate	ADJ
ap-4610	158	12	limit	limit	NOUN
ap-4610	158	13	for	for	ADP
ap-4610	158	14	the	the	DET
ap-4610	158	15	two	two	NUM
ap-4610	158	16	potentials	potential	NOUN
ap-4610	158	17	.	.	PUNCT
ap-4610	159	1	it	it	PRON
ap-4610	159	2	was	be	AUX
ap-4610	159	3	confirmed	confirm	VERB
ap-4610	159	4	that	that	SCONJ
ap-4610	159	5	the	the	DET
ap-4610	159	6	handedness	handedness	NOUN
ap-4610	159	7	effect	effect	NOUN
ap-4610	159	8	occurs	occur	VERB
ap-4610	159	9	in	in	ADP
ap-4610	159	10	this	this	DET
ap-4610	159	11	case	case	NOUN
ap-4610	159	12	too	too	ADV
ap-4610	159	13	,	,	PUNCT
ap-4610	159	14	i.e.	i.e.	X
ap-4610	159	15	in	in	ADP
ap-4610	159	16	contrast	contrast	NOUN
ap-4610	159	17	with	with	ADP
ap-4610	159	18	real	real	ADJ
ap-4610	159	19	potentials	potential	NOUN
ap-4610	159	20	,	,	PUNCT
ap-4610	159	21	the	the	DET
ap-4610	159	22	reflection	reflection	NOUN
ap-4610	159	23	coefficients	coefficient	NOUN
ap-4610	159	24	differ	differ	VERB
ap-4610	159	25	essentially	essentially	ADV
ap-4610	159	26	for	for	ADP
ap-4610	159	27	waves	wave	NOUN
ap-4610	159	28	arriving	arrive	VERB
ap-4610	159	29	from	from	ADP
ap-4610	159	30	the	the	DET
ap-4610	159	31	two	two	NUM
ap-4610	159	32	directions	direction	NOUN
ap-4610	159	33	,	,	PUNCT
ap-4610	159	34	while	while	SCONJ
ap-4610	159	35	the	the	DET
ap-4610	159	36	transmission	transmission	NOUN
ap-4610	159	37	coefficients	coefficient	NOUN
ap-4610	159	38	differ	differ	VERB
ap-4610	159	39	only	only	ADV
ap-4610	159	40	in	in	ADP
ap-4610	159	41	a	a	DET
ap-4610	159	42	phase	phase	NOUN
ap-4610	159	43	.	.	PUNCT
ap-4610	160	1	(	(	PUNCT
ap-4610	160	2	note	note	VERB
ap-4610	160	3	that	that	SCONJ
ap-4610	160	4	for	for	ADP
ap-4610	160	5	potentials	potential	NOUN
ap-4610	160	6	with	with	ADP
ap-4610	160	7	asymptotically	asymptotically	ADV
ap-4610	160	8	vanishing	vanish	VERB
ap-4610	160	9	imaginary	imaginary	ADJ
ap-4610	160	10	component	component	NOUN
ap-4610	160	11	even	even	ADV
ap-4610	160	12	this	this	DET
ap-4610	160	13	phase	phase	NOUN
ap-4610	160	14	is	be	AUX
ap-4610	160	15	missing	miss	VERB
ap-4610	160	16	.	.	PUNCT
ap-4610	160	17	)	)	PUNCT
ap-4610	161	1	it	it	PRON
ap-4610	161	2	was	be	AUX
ap-4610	161	3	shown	show	VERB
ap-4610	161	4	that	that	SCONJ
ap-4610	161	5	the	the	DET
ap-4610	161	6	only	only	ADJ
ap-4610	161	7	bound	bind	VERB
ap-4610	161	8	state	state	NOUN
ap-4610	161	9	that	that	PRON
ap-4610	161	10	occurs	occur	VERB
ap-4610	161	11	in	in	ADP
ap-4610	161	12	the	the	DET
ap-4610	161	13	limiting	limit	VERB
ap-4610	161	14	case	case	NOUN
ap-4610	161	15	from	from	ADP
ap-4610	161	16	both	both	DET
ap-4610	161	17	potentials	potential	NOUN
ap-4610	161	18	is	be	AUX
ap-4610	161	19	obtained	obtain	VERB
ap-4610	161	20	as	as	ADP
ap-4610	161	21	the	the	DET
ap-4610	161	22	zero	zero	NUM
ap-4610	161	23	of	of	ADP
ap-4610	161	24	the	the	DET
ap-4610	161	25	reflection	reflection	NOUN
ap-4610	161	26	coefficient	coefficient	NOUN
ap-4610	161	27	,	,	PUNCT
ap-4610	161	28	rather	rather	ADV
ap-4610	161	29	than	than	ADP
ap-4610	161	30	as	as	ADP
ap-4610	161	31	the	the	DET
ap-4610	161	32	pole	pole	NOUN
ap-4610	161	33	of	of	ADP
ap-4610	161	34	the	the	DET
ap-4610	161	35	transmission	transmission	NOUN
ap-4610	161	36	coefficient	coefficient	NOUN
ap-4610	161	37	,	,	PUNCT
ap-4610	161	38	in	in	ADP
ap-4610	161	39	accordance	accordance	NOUN
ap-4610	161	40	with	with	ADP
ap-4610	161	41	the	the	DET
ap-4610	161	42	findings	finding	NOUN
ap-4610	161	43	of	of	ADP
ap-4610	161	44	[	[	X
ap-4610	161	45	22	22	NUM
ap-4610	161	46	]	]	PUNCT
ap-4610	161	47	.	.	PUNCT
ap-4610	162	1	the	the	DET
ap-4610	162	2	present	present	ADJ
ap-4610	162	3	study	study	NOUN
ap-4610	162	4	confirms	confirm	VERB
ap-4610	162	5	the	the	DET
ap-4610	162	6	importance	importance	NOUN
ap-4610	162	7	of	of	ADP
ap-4610	162	8	the	the	DET
ap-4610	162	9	asymptotically	asymptotically	ADV
ap-4610	162	10	non	non	ADJ
ap-4610	162	11	-	-	ADJ
ap-4610	162	12	vanishing	vanishing	ADJ
ap-4610	162	13	imaginary	imaginary	ADJ
ap-4610	162	14	potential	potential	ADJ
ap-4610	162	15	component	component	NOUN
ap-4610	162	16	,	,	PUNCT
ap-4610	162	17	which	which	PRON
ap-4610	162	18	was	be	AUX
ap-4610	162	19	already	already	ADV
ap-4610	162	20	pointed	point	VERB
ap-4610	162	21	out	out	ADP
ap-4610	162	22	in	in	ADP
ap-4610	162	23	connection	connection	NOUN
ap-4610	162	24	with	with	ADP
ap-4610	162	25	the	the	DET
ap-4610	162	26	pt	pt	PROPN
ap-4610	162	27	-symmetric	-symmetric	PROPN
ap-4610	162	28	rosen	rosen	PROPN
ap-4610	162	29	–	–	PUNCT
ap-4610	162	30	morse	morse	PROPN
ap-4610	162	31	ii	ii	PROPN
ap-4610	162	32	potential	potential	NOUN
ap-4610	162	33	[	[	X
ap-4610	162	34	10	10	NUM
ap-4610	162	35	,	,	PUNCT
ap-4610	162	36	21	21	NUM
ap-4610	162	37	]	]	PUNCT
ap-4610	162	38	.	.	PUNCT
ap-4610	163	1	it	it	PRON
ap-4610	163	2	is	be	AUX
ap-4610	163	3	notable	notable	ADJ
ap-4610	163	4	that	that	SCONJ
ap-4610	163	5	supplementing	supplement	VERB
ap-4610	163	6	the	the	DET
ap-4610	163	7	same	same	ADJ
ap-4610	163	8	real	real	NOUN
ap-4610	163	9	even	even	ADV
ap-4610	163	10	asymptotically	asymptotically	ADV
ap-4610	163	11	vanishing	vanish	VERB
ap-4610	163	12	potential	potential	ADJ
ap-4610	163	13	component	component	NOUN
ap-4610	163	14	with	with	ADP
ap-4610	163	15	an	an	DET
ap-4610	163	16	asymptotically	asymptotically	ADV
ap-4610	163	17	vanishing	vanish	VERB
ap-4610	163	18	odd	odd	ADJ
ap-4610	163	19	imaginary	imaginary	ADJ
ap-4610	163	20	potential	potential	ADJ
ap-4610	163	21	component	component	NOUN
ap-4610	163	22	(	(	PUNCT
ap-4610	163	23	scarf	scarf	PROPN
ap-4610	163	24	ii	ii	NOUN
ap-4610	163	25	[	[	X
ap-4610	163	26	15	15	NUM
ap-4610	163	27	,	,	PUNCT
ap-4610	163	28	29	29	NUM
ap-4610	163	29	]	]	PUNCT
ap-4610	163	30	)	)	PUNCT
ap-4610	164	1	leads	lead	VERB
ap-4610	164	2	to	to	ADP
ap-4610	164	3	complex	complex	ADJ
ap-4610	164	4	conjugate	conjugate	ADJ
ap-4610	164	5	energy	energy	NOUN
ap-4610	164	6	eigenvalues	eigenvalue	NOUN
ap-4610	164	7	when	when	SCONJ
ap-4610	164	8	the	the	DET
ap-4610	164	9	relative	relative	ADJ
ap-4610	164	10	intensity	intensity	NOUN
ap-4610	164	11	of	of	ADP
ap-4610	164	12	the	the	DET
ap-4610	164	13	imaginary	imaginary	ADJ
ap-4610	164	14	component	component	NOUN
ap-4610	164	15	is	be	AUX
ap-4610	164	16	increased	increase	VERB
ap-4610	164	17	,	,	PUNCT
ap-4610	164	18	but	but	CCONJ
ap-4610	164	19	this	this	DET
ap-4610	164	20	phenomenon	phenomenon	NOUN
ap-4610	164	21	does	do	AUX
ap-4610	164	22	not	not	PART
ap-4610	164	23	occur	occur	VERB
ap-4610	164	24	when	when	SCONJ
ap-4610	164	25	the	the	DET
ap-4610	164	26	imaginary	imaginary	ADJ
ap-4610	164	27	potential	potential	ADJ
ap-4610	164	28	component	component	NOUN
ap-4610	164	29	is	be	AUX
ap-4610	164	30	chosen	choose	VERB
ap-4610	164	31	asymptotically	asymptotically	ADV
ap-4610	164	32	nonvanishing	nonvanishing	PROPN
ap-4610	164	33	(	(	PUNCT
ap-4610	164	34	rosen	rosen	PROPN
ap-4610	164	35	–	–	PUNCT
ap-4610	164	36	morse	morse	PROPN
ap-4610	164	37	ii	ii	PROPN
ap-4610	164	38	)	)	PUNCT
ap-4610	164	39	.	.	PUNCT
ap-4610	165	1	in	in	ADP
ap-4610	165	2	this	this	DET
ap-4610	165	3	case	case	NOUN
ap-4610	165	4	increasing	increase	VERB
ap-4610	165	5	the	the	DET
ap-4610	165	6	intensity	intensity	NOUN
ap-4610	165	7	of	of	ADP
ap-4610	165	8	the	the	DET
ap-4610	165	9	imaginary	imaginary	ADJ
ap-4610	165	10	component	component	NOUN
ap-4610	165	11	leads	lead	VERB
ap-4610	165	12	to	to	ADP
ap-4610	165	13	lifting	lift	VERB
ap-4610	165	14	the	the	DET
ap-4610	165	15	energy	energy	NOUN
ap-4610	165	16	spectrum	spectrum	NOUN
ap-4610	165	17	to	to	ADP
ap-4610	165	18	higher	high	ADJ
ap-4610	165	19	energies	energy	NOUN
ap-4610	165	20	,	,	PUNCT
ap-4610	165	21	such	such	ADJ
ap-4610	165	22	that	that	SCONJ
ap-4610	165	23	even	even	ADV
ap-4610	165	24	the	the	DET
ap-4610	165	25	ground	ground	NOUN
ap-4610	165	26	-	-	PUNCT
ap-4610	165	27	state	state	NOUN
ap-4610	165	28	energy	energy	NOUN
ap-4610	165	29	can	can	AUX
ap-4610	165	30	be	be	AUX
ap-4610	165	31	tuned	tune	VERB
ap-4610	165	32	to	to	ADP
ap-4610	165	33	positive	positive	ADJ
ap-4610	165	34	values	value	NOUN
ap-4610	165	35	.	.	PUNCT
ap-4610	166	1	this	this	PRON
ap-4610	166	2	was	be	AUX
ap-4610	166	3	also	also	ADV
ap-4610	166	4	found	find	VERB
ap-4610	166	5	for	for	ADP
ap-4610	166	6	the	the	DET
ap-4610	166	7	pt	pt	NOUN
ap-4610	166	8	-symmetric	-symmetric	ADJ
ap-4610	166	9	finite	finite	PROPN
ap-4610	166	10	square	square	PROPN
ap-4610	167	1	well	well	NOUN
ap-4610	168	1	[	[	X
ap-4610	168	2	22	22	NUM
ap-4610	168	3	]	]	PUNCT
ap-4610	168	4	potential	potential	NOUN
ap-4610	168	5	.	.	PUNCT
ap-4610	169	1	it	it	PRON
ap-4610	169	2	is	be	AUX
ap-4610	169	3	instructive	instructive	ADJ
ap-4610	169	4	to	to	PART
ap-4610	169	5	consider	consider	VERB
ap-4610	169	6	further	further	ADJ
ap-4610	169	7	pt	pt	NOUN
ap-4610	169	8	-symmetric	-symmetric	ADJ
ap-4610	169	9	potentials	potential	NOUN
ap-4610	169	10	with	with	ADP
ap-4610	169	11	various	various	ADJ
ap-4610	169	12	asymptotic	asymptotic	ADJ
ap-4610	169	13	behaviour	behaviour	NOUN
ap-4610	169	14	.	.	PUNCT
ap-4610	170	1	the	the	DET
ap-4610	170	2	energy	energy	NOUN
ap-4610	170	3	spectrum	spectrum	NOUN
ap-4610	170	4	of	of	ADP
ap-4610	170	5	the	the	DET
ap-4610	170	6	bender	bender	NOUN
ap-4610	170	7	–	–	PUNCT
ap-4610	170	8	boettcher	boettcher	PROPN
ap-4610	170	9	potentials	potential	VERB
ap-4610	170	10	v	v	ADP
ap-4610	170	11	(	(	PUNCT
ap-4610	170	12	x	x	NOUN
ap-4610	170	13	)	)	PUNCT
ap-4610	170	14	=	=	SYM
ap-4610	170	15	x2(ix)ε	x2(ix)ε	PROPN
ap-4610	171	1	[	[	X
ap-4610	171	2	1	1	X
ap-4610	171	3	]	]	PUNCT
ap-4610	171	4	contains	contain	VERB
ap-4610	171	5	complex	complex	ADJ
ap-4610	171	6	conjugate	conjugate	ADJ
ap-4610	171	7	energy	energy	NOUN
ap-4610	171	8	eigenvalues	eigenvalue	NOUN
ap-4610	171	9	for	for	ADP
ap-4610	171	10	ε	ε	PROPN
ap-4610	171	11	<	<	X
ap-4610	171	12	2	2	NUM
ap-4610	171	13	.	.	PUNCT
ap-4610	172	1	in	in	ADP
ap-4610	172	2	this	this	DET
ap-4610	172	3	case	case	NOUN
ap-4610	172	4	complexification	complexification	NOUN
ap-4610	172	5	is	be	AUX
ap-4610	172	6	a	a	DET
ap-4610	172	7	gradual	gradual	ADJ
ap-4610	172	8	process	process	NOUN
ap-4610	172	9	,	,	PUNCT
ap-4610	172	10	starting	start	VERB
ap-4610	172	11	from	from	ADP
ap-4610	172	12	higher	high	ADJ
ap-4610	172	13	energies	energy	NOUN
ap-4610	172	14	.	.	PUNCT
ap-4610	173	1	for	for	ADP
ap-4610	173	2	ε	ε	PROPN
ap-4610	173	3	≥	≥	PROPN
ap-4610	173	4	0	0	NUM
ap-4610	173	5	the	the	DET
ap-4610	173	6	energy	energy	NOUN
ap-4610	173	7	eigenvalues	eigenvalue	NOUN
ap-4610	173	8	are	be	AUX
ap-4610	173	9	all	all	ADV
ap-4610	173	10	real	real	ADJ
ap-4610	173	11	,	,	PUNCT
ap-4610	173	12	similarly	similarly	ADV
ap-4610	173	13	to	to	ADP
ap-4610	173	14	the	the	DET
ap-4610	173	15	case	case	NOUN
ap-4610	173	16	of	of	ADP
ap-4610	173	17	the	the	DET
ap-4610	173	18	pt	pt	PROPN
ap-4610	173	19	-symmetric	-symmetric	PROPN
ap-4610	173	20	rosen	rosen	PROPN
ap-4610	173	21	–	–	PUNCT
ap-4610	173	22	morse	morse	PROPN
ap-4610	173	23	ii	ii	PROPN
ap-4610	173	24	potential	potential	NOUN
ap-4610	173	25	.	.	PUNCT
ap-4610	174	1	the	the	DET
ap-4610	174	2	ε	ε	PROPN
ap-4610	174	3	=	=	SYM
ap-4610	174	4	1	1	NUM
ap-4610	174	5	choice	choice	NOUN
ap-4610	174	6	recovers	recover	VERB
ap-4610	174	7	the	the	DET
ap-4610	174	8	purely	purely	ADV
ap-4610	174	9	imaginary	imaginary	ADJ
ap-4610	174	10	ix3	ix3	NOUN
ap-4610	174	11	potential	potential	NOUN
ap-4610	174	12	.	.	PUNCT
ap-4610	175	1	another	another	DET
ap-4610	175	2	interesting	interesting	ADJ
ap-4610	175	3	case	case	NOUN
ap-4610	175	4	is	be	AUX
ap-4610	175	5	the	the	DET
ap-4610	175	6	pt	pt	NOUN
ap-4610	175	7	-symmetric	-symmetric	ADJ
ap-4610	175	8	exponential	exponential	ADJ
ap-4610	175	9	potential	potential	NOUN
ap-4610	175	10	[	[	X
ap-4610	175	11	20	20	NUM
ap-4610	175	12	]	]	PUNCT
ap-4610	175	13	.	.	PUNCT
ap-4610	176	1	its	its	PRON
ap-4610	176	2	solutions	solution	NOUN
ap-4610	176	3	are	be	AUX
ap-4610	176	4	expressed	express	VERB
ap-4610	176	5	in	in	ADP
ap-4610	176	6	terms	term	NOUN
ap-4610	176	7	of	of	ADP
ap-4610	176	8	bessel	bessel	ADJ
ap-4610	176	9	functions	function	NOUN
ap-4610	176	10	,	,	PUNCT
ap-4610	176	11	so	so	SCONJ
ap-4610	176	12	it	it	PRON
ap-4610	176	13	is	be	AUX
ap-4610	176	14	also	also	ADV
ap-4610	176	15	outside	outside	ADP
ap-4610	176	16	the	the	DET
ap-4610	176	17	natanzon	natanzon	NOUN
ap-4610	176	18	class	class	NOUN
ap-4610	176	19	.	.	PUNCT
ap-4610	177	1	this	this	DET
ap-4610	177	2	two	two	NUM
ap-4610	177	3	-	-	PUNCT
ap-4610	177	4	parameter	parameter	NOUN
ap-4610	177	5	potential	potential	NOUN
ap-4610	177	6	is	be	AUX
ap-4610	177	7	purely	purely	ADV
ap-4610	177	8	imaginary	imaginary	ADJ
ap-4610	177	9	,	,	PUNCT
ap-4610	177	10	and	and	CCONJ
ap-4610	177	11	it	it	PRON
ap-4610	177	12	tends	tend	VERB
ap-4610	177	13	to	to	PART
ap-4610	177	14	infinity	infinity	VERB
ap-4610	177	15	asymptotically	asymptotically	ADV
ap-4610	177	16	stronger	strong	ADJ
ap-4610	177	17	than	than	ADP
ap-4610	177	18	the	the	DET
ap-4610	177	19	imaginary	imaginary	ADJ
ap-4610	177	20	component	component	NOUN
ap-4610	177	21	of	of	ADP
ap-4610	177	22	the	the	DET
ap-4610	177	23	bender	bender	NOUN
ap-4610	177	24	–	–	PUNCT
ap-4610	177	25	boettcher	boettcher	NOUN
ap-4610	177	26	potential	potential	NOUN
ap-4610	177	27	.	.	PUNCT
ap-4610	178	1	it	it	PRON
ap-4610	178	2	has	have	VERB
ap-4610	178	3	the	the	DET
ap-4610	178	4	unusual	unusual	ADJ
ap-4610	178	5	feature	feature	NOUN
ap-4610	178	6	that	that	PRON
ap-4610	178	7	its	its	PRON
ap-4610	178	8	energy	energy	NOUN
ap-4610	178	9	spectrum	spectrum	NOUN
ap-4610	178	10	generally	generally	ADV
ap-4610	178	11	contains	contain	VERB
ap-4610	178	12	both	both	DET
ap-4610	178	13	real	real	ADJ
ap-4610	178	14	and	and	CCONJ
ap-4610	178	15	complex	complex	ADJ
ap-4610	178	16	energy	energy	NOUN
ap-4610	178	17	eigenvalues	eigenvalue	VERB
ap-4610	178	18	such	such	ADJ
ap-4610	178	19	that	that	SCONJ
ap-4610	178	20	it	it	PRON
ap-4610	178	21	is	be	AUX
ap-4610	178	22	not	not	PART
ap-4610	178	23	possible	possible	ADJ
ap-4610	178	24	to	to	PART
ap-4610	178	25	separate	separate	VERB
ap-4610	178	26	parametric	parametric	ADJ
ap-4610	178	27	domains	domain	NOUN
ap-4610	178	28	where	where	SCONJ
ap-4610	178	29	only	only	ADJ
ap-4610	178	30	imaginary	imaginary	ADJ
ap-4610	178	31	energy	energy	NOUN
ap-4610	178	32	eigenvalues	eigenvalue	NOUN
ap-4610	178	33	occur	occur	VERB
ap-4610	178	34	.	.	PUNCT
ap-4610	179	1	increasing	increase	VERB
ap-4610	179	2	non	non	ADJ
ap-4610	179	3	-	-	ADJ
ap-4610	179	4	hermiticity	hermiticity	NOUN
ap-4610	179	5	leads	lead	VERB
ap-4610	179	6	to	to	ADP
ap-4610	179	7	the	the	DET
ap-4610	179	8	gradual	gradual	ADJ
ap-4610	179	9	complexification	complexification	NOUN
ap-4610	179	10	of	of	ADP
ap-4610	179	11	the	the	DET
ap-4610	179	12	energy	energy	NOUN
ap-4610	179	13	spectrum	spectrum	NOUN
ap-4610	179	14	from	from	ADP
ap-4610	179	15	above	above	ADV
ap-4610	179	16	,	,	PUNCT
ap-4610	179	17	however	however	ADV
ap-4610	179	18	,	,	PUNCT
ap-4610	179	19	the	the	DET
ap-4610	179	20	ground	ground	NOUN
ap-4610	179	21	-	-	PUNCT
ap-4610	179	22	state	state	NOUN
ap-4610	179	23	energy	energy	NOUN
ap-4610	179	24	always	always	ADV
ap-4610	179	25	remains	remain	VERB
ap-4610	179	26	real	real	ADJ
ap-4610	179	27	.	.	PUNCT
ap-4610	180	1	all	all	DET
ap-4610	180	2	these	these	DET
ap-4610	180	3	findings	finding	NOUN
ap-4610	180	4	indicate	indicate	VERB
ap-4610	180	5	that	that	SCONJ
ap-4610	180	6	the	the	DET
ap-4610	180	7	breakdown	breakdown	NOUN
ap-4610	180	8	of	of	ADP
ap-4610	180	9	pt	pt	PROPN
ap-4610	180	10	symmetry	symmetry	NOUN
ap-4610	180	11	occurs	occur	VERB
ap-4610	180	12	in	in	ADP
ap-4610	180	13	potentials	potential	NOUN
ap-4610	180	14	with	with	ADP
ap-4610	180	15	rather	rather	ADV
ap-4610	180	16	different	different	ADJ
ap-4610	180	17	patterns	pattern	NOUN
ap-4610	180	18	of	of	ADP
ap-4610	180	19	the	the	DET
ap-4610	180	20	imaginary	imaginary	ADJ
ap-4610	180	21	component	component	NOUN
ap-4610	180	22	.	.	PUNCT
ap-4610	181	1	for	for	ADP
ap-4610	181	2	asymptotically	asymptotically	ADV
ap-4610	181	3	strongly	strongly	ADV
ap-4610	181	4	divergent	divergent	ADJ
ap-4610	181	5	imaginary	imaginary	ADJ
ap-4610	181	6	potential	potential	ADJ
ap-4610	181	7	components	component	NOUN
ap-4610	181	8	the	the	DET
ap-4610	181	9	complexification	complexification	NOUN
ap-4610	181	10	of	of	ADP
ap-4610	181	11	the	the	DET
ap-4610	181	12	energy	energy	NOUN
ap-4610	181	13	eigenvalues	eigenvalue	NOUN
ap-4610	181	14	generally	generally	ADV
ap-4610	181	15	occurs	occur	VERB
ap-4610	181	16	gradually	gradually	ADV
ap-4610	181	17	,	,	PUNCT
ap-4610	181	18	starting	start	VERB
ap-4610	181	19	from	from	ADP
ap-4610	181	20	above	above	ADV
ap-4610	181	21	.	.	PUNCT
ap-4610	182	1	for	for	ADP
ap-4610	182	2	potentials	potential	NOUN
ap-4610	182	3	with	with	ADP
ap-4610	182	4	asymptotically	asymptotically	ADV
ap-4610	182	5	vanishing	vanish	VERB
ap-4610	182	6	imaginary	imaginary	ADJ
ap-4610	182	7	component	component	NOUN
ap-4610	182	8	the	the	DET
ap-4610	182	9	same	same	ADJ
ap-4610	182	10	procedure	procedure	NOUN
ap-4610	182	11	occurs	occur	VERB
ap-4610	182	12	from	from	ADP
ap-4610	182	13	below	below	ADP
ap-4610	182	14	either	either	PRON
ap-4610	182	15	suddenly	suddenly	ADV
ap-4610	182	16	[	[	X
ap-4610	182	17	15–17	15–17	NUM
ap-4610	182	18	]	]	PUNCT
ap-4610	182	19	or	or	CCONJ
ap-4610	183	1	gradually	gradually	ADV
ap-4610	183	2	[	[	X
ap-4610	183	3	18	18	NUM
ap-4610	183	4	]	]	PUNCT
ap-4610	183	5	,	,	PUNCT
ap-4610	183	6	but	but	CCONJ
ap-4610	183	7	in	in	ADP
ap-4610	183	8	these	these	DET
ap-4610	183	9	cases	case	NOUN
ap-4610	183	10	a	a	DET
ap-4610	183	11	non	non	ADJ
ap-4610	183	12	-	-	ADJ
ap-4610	183	13	vanishing	vanishing	ADJ
ap-4610	183	14	real	real	ADJ
ap-4610	183	15	potential	potential	ADJ
ap-4610	183	16	component	component	NOUN
ap-4610	183	17	is	be	AUX
ap-4610	183	18	also	also	ADV
ap-4610	183	19	necessary	necessary	ADJ
ap-4610	183	20	to	to	PART
ap-4610	183	21	obtain	obtain	VERB
ap-4610	183	22	bound	bound	ADJ
ap-4610	183	23	states	state	NOUN
ap-4610	183	24	.	.	PUNCT
ap-4610	184	1	it	it	PRON
ap-4610	184	2	is	be	AUX
ap-4610	184	3	notable	notable	ADJ
ap-4610	184	4	that	that	SCONJ
ap-4610	184	5	although	although	SCONJ
ap-4610	184	6	potentials	potential	NOUN
ap-4610	184	7	with	with	ADP
ap-4610	184	8	asymptotically	asymptotically	ADV
ap-4610	184	9	constant	constant	ADJ
ap-4610	184	10	imaginary	imaginary	ADJ
ap-4610	184	11	potential	potential	ADJ
ap-4610	184	12	component	component	NOUN
ap-4610	184	13	(	(	PUNCT
ap-4610	184	14	such	such	ADJ
ap-4610	184	15	as	as	ADP
ap-4610	184	16	the	the	DET
ap-4610	184	17	rosen	rosen	PROPN
ap-4610	184	18	–	–	PUNCT
ap-4610	184	19	morse	morse	PROPN
ap-4610	184	20	ii	ii	PROPN
ap-4610	184	21	and	and	CCONJ
ap-4610	184	22	its	its	PRON
ap-4610	184	23	limit	limit	NOUN
ap-4610	184	24	discussed	discuss	VERB
ap-4610	184	25	here	here	ADV
ap-4610	184	26	)	)	PUNCT
ap-4610	184	27	fall	fall	VERB
ap-4610	184	28	between	between	ADP
ap-4610	184	29	the	the	DET
ap-4610	184	30	two	two	NUM
ap-4610	184	31	potential	potential	ADJ
ap-4610	184	32	types	type	NOUN
ap-4610	184	33	mentioned	mention	VERB
ap-4610	184	34	above	above	ADV
ap-4610	184	35	,	,	PUNCT
ap-4610	184	36	their	their	PRON
ap-4610	184	37	energy	energy	NOUN
ap-4610	184	38	spectrum	spectrum	NOUN
ap-4610	184	39	is	be	AUX
ap-4610	184	40	purely	purely	ADV
ap-4610	184	41	real	real	ADJ
ap-4610	184	42	.	.	PUNCT
ap-4610	185	1	furthermore	furthermore	ADV
ap-4610	185	2	,	,	PUNCT
ap-4610	185	3	a	a	DET
ap-4610	185	4	real	real	ADJ
ap-4610	185	5	potential	potential	ADJ
ap-4610	185	6	component	component	NOUN
ap-4610	185	7	is	be	AUX
ap-4610	185	8	also	also	ADV
ap-4610	185	9	necessary	necessary	ADJ
ap-4610	185	10	for	for	SCONJ
ap-4610	185	11	them	they	PRON
ap-4610	185	12	to	to	PART
ap-4610	185	13	support	support	VERB
ap-4610	185	14	bound	bind	VERB
ap-4610	185	15	states	state	NOUN
ap-4610	185	16	.	.	PUNCT
ap-4610	186	1	further	further	ADJ
ap-4610	186	2	studies	study	NOUN
ap-4610	186	3	concerning	concern	VERB
ap-4610	186	4	potentials	potential	NOUN
ap-4610	186	5	with	with	ADP
ap-4610	186	6	various	various	ADJ
ap-4610	186	7	asymptotic	asymptotic	ADJ
ap-4610	186	8	patterns	pattern	NOUN
ap-4610	186	9	seem	seem	VERB
ap-4610	186	10	worthwhile	worthwhile	ADJ
ap-4610	186	11	in	in	ADP
ap-4610	186	12	order	order	NOUN
ap-4610	186	13	to	to	PART
ap-4610	186	14	shed	shed	VERB
ap-4610	186	15	more	more	ADJ
ap-4610	186	16	light	light	NOUN
ap-4610	186	17	on	on	ADP
ap-4610	186	18	the	the	DET
ap-4610	186	19	possible	possible	ADJ
ap-4610	186	20	mechanisms	mechanism	NOUN
ap-4610	186	21	of	of	ADP
ap-4610	186	22	the	the	DET
ap-4610	186	23	breakdown	breakdown	NOUN
ap-4610	186	24	of	of	ADP
ap-4610	186	25	pt	pt	NOUN
ap-4610	186	26	symmetry	symmetry	NOUN
ap-4610	186	27	.	.	PUNCT
ap-4610	187	1	acknowledgements	acknowledgement	NOUN
ap-4610	187	2	this	this	DET
ap-4610	187	3	work	work	NOUN
ap-4610	187	4	was	be	AUX
ap-4610	187	5	supported	support	VERB
ap-4610	187	6	by	by	ADP
ap-4610	187	7	the	the	DET
ap-4610	187	8	hungarian	hungarian	ADJ
ap-4610	187	9	scientific	scientific	ADJ
ap-4610	187	10	research	research	NOUN
ap-4610	187	11	fund	fund	NOUN
ap-4610	187	12	–	–	PUNCT
ap-4610	187	13	otka	otka	NUM
ap-4610	187	14	,	,	PUNCT
ap-4610	187	15	grant	grant	VERB
ap-4610	187	16	no	no	INTJ
ap-4610	187	17	.	.	PUNCT
ap-4610	188	1	k112962	k112962	PROPN
ap-4610	188	2	.	.	PUNCT
ap-4610	189	1	references	reference	NOUN
ap-4610	189	2	[	[	X
ap-4610	189	3	1	1	NUM
ap-4610	189	4	]	]	PUNCT
ap-4610	189	5	c.	c.	PROPN
ap-4610	189	6	m.	m.	PROPN
ap-4610	189	7	bender	bender	PROPN
ap-4610	189	8	,	,	PUNCT
ap-4610	189	9	s.	s.	PROPN
ap-4610	189	10	boettcher	boettcher	PROPN
ap-4610	189	11	.	.	PUNCT
ap-4610	190	1	phys	phy	NOUN
ap-4610	190	2	.	.	PUNCT
ap-4610	191	1	rev	rev	PROPN
ap-4610	191	2	.	.	PROPN
ap-4610	191	3	lett	lett	PROPN
ap-4610	191	4	.	.	PUNCT
ap-4610	192	1	80:5243	80:5243	NUM
ap-4610	192	2	,	,	PUNCT
ap-4610	192	3	1998	1998	NUM
ap-4610	192	4	.	.	PUNCT
ap-4610	193	1	doi:10.1103	doi:10.1103	NOUN
ap-4610	193	2	/	/	SYM
ap-4610	193	3	physrevlett.80.5243	physrevlett.80.5243	NOUN
ap-4610	193	4	[	[	X
ap-4610	193	5	2	2	NUM
ap-4610	193	6	]	]	PUNCT
ap-4610	193	7	c.	c.	PROPN
ap-4610	193	8	m.	m.	PROPN
ap-4610	193	9	bender	bender	PROPN
ap-4610	193	10	.	.	PUNCT
ap-4610	194	1	rep	rep	PROPN
ap-4610	194	2	.	.	PROPN
ap-4610	194	3	prog	prog	PROPN
ap-4610	194	4	.	.	PUNCT
ap-4610	195	1	phys	phy	NOUN
ap-4610	195	2	.	.	PUNCT
ap-4610	196	1	70:947	70:947	NUM
ap-4610	196	2	,	,	PUNCT
ap-4610	196	3	2007	2007	NUM
ap-4610	196	4	.	.	PUNCT
ap-4610	197	1	doi:10.1088/0034	doi:10.1088/0034	NOUN
ap-4610	197	2	-	-	PUNCT
ap-4610	197	3	4885/70/6	4885/70/6	NOUN
ap-4610	197	4	/	/	SYM
ap-4610	197	5	r03	r03	NOUN
ap-4610	197	6	[	[	X
ap-4610	197	7	3	3	NUM
ap-4610	197	8	]	]	PUNCT
ap-4610	197	9	a.	a.	NOUN
ap-4610	197	10	mostafazadeh	mostafazadeh	PROPN
ap-4610	197	11	,	,	PUNCT
ap-4610	197	12	j.	j.	PROPN
ap-4610	197	13	math	math	PROPN
ap-4610	197	14	.	.	PUNCT
ap-4610	198	1	phys	phy	NOUN
ap-4610	198	2	.	.	PUNCT
ap-4610	199	1	43:205,2814	43:205,2814	NUM
ap-4610	199	2	and	and	CCONJ
ap-4610	199	3	3944	3944	NUM
ap-4610	199	4	,	,	PUNCT
ap-4610	199	5	2002	2002	NUM
ap-4610	199	6	.	.	PUNCT
ap-4610	200	1	doi:10.1063/1.1418246	doi:10.1063/1.1418246	PROPN
ap-4610	200	2	,	,	PUNCT
ap-4610	200	3	doi:10.1063/1.1461427	doi:10.1063/1.1461427	PROPN
ap-4610	200	4	,	,	PUNCT
ap-4610	200	5	doi:10.1063/1.1489072	doi:10.1063/1.1489072	NOUN
ap-4610	200	6	[	[	X
ap-4610	200	7	4	4	NUM
ap-4610	200	8	]	]	PUNCT
ap-4610	200	9	c.	c.	PROPN
ap-4610	200	10	e.	e.	PROPN
ap-4610	200	11	rüter	rüter	PROPN
ap-4610	200	12	,	,	PUNCT
ap-4610	200	13	k.	k.	PROPN
ap-4610	200	14	g.	g.	PROPN
ap-4610	200	15	makris	makris	PROPN
ap-4610	200	16	,	,	PUNCT
ap-4610	200	17	r.	r.	PROPN
ap-4610	200	18	el	el	PROPN
ap-4610	200	19	-	-	PUNCT
ap-4610	200	20	ganainy	ganainy	PROPN
ap-4610	200	21	,	,	PUNCT
ap-4610	200	22	d.	d.	PROPN
ap-4610	200	23	n.	n.	PROPN
ap-4610	200	24	christodoulides	christodoulides	PROPN
ap-4610	200	25	,	,	PUNCT
ap-4610	200	26	m.	m.	NOUN
ap-4610	200	27	segev	segev	PROPN
ap-4610	200	28	,	,	PUNCT
ap-4610	200	29	d.	d.	PROPN
ap-4610	200	30	kip	kip	PROPN
ap-4610	200	31	.	.	PROPN
ap-4610	200	32	nature	nature	PROPN
ap-4610	200	33	physics	physics	PROPN
ap-4610	200	34	6:192	6:192	PROPN
ap-4610	200	35	,	,	PUNCT
ap-4610	200	36	2010	2010	NUM
ap-4610	200	37	.	.	PUNCT
ap-4610	201	1	doi:10.1038	doi:10.1038	NOUN
ap-4610	201	2	/	/	SYM
ap-4610	201	3	nphys1515	nphys1515	PROPN
ap-4610	202	1	[	[	X
ap-4610	202	2	5	5	X
ap-4610	202	3	]	]	X
ap-4610	202	4	g.	g.	PROPN
ap-4610	202	5	lévai	lévai	PROPN
ap-4610	202	6	,	,	PUNCT
ap-4610	202	7	m.	m.	NOUN
ap-4610	202	8	znojil	znojil	PROPN
ap-4610	202	9	.	.	PUNCT
ap-4610	203	1	j.	j.	PROPN
ap-4610	203	2	phys	phys	PROPN
ap-4610	203	3	.	.	PUNCT
ap-4610	204	1	a	a	DET
ap-4610	204	2	:	:	PUNCT
ap-4610	204	3	math	math	NOUN
ap-4610	204	4	.	.	PUNCT
ap-4610	205	1	gen	gen	PROPN
ap-4610	205	2	.	.	PROPN
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ap-4610	205	4	,	,	PUNCT
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ap-4610	207	2	.	.	PUNCT
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ap-4610	208	2	.	.	PUNCT
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ap-4610	209	2	.	.	PUNCT
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ap-4610	210	3	,	,	PUNCT
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ap-4610	210	5	.	.	PUNCT
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ap-4610	215	3	.	.	PUNCT
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ap-4610	216	2	.	.	PUNCT
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ap-4610	217	2	,	,	PUNCT
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ap-4610	217	4	.	.	PUNCT
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ap-4610	218	2	/	/	SYM
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ap-4610	218	4	-	-	PUNCT
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ap-4610	218	6	-	-	PUNCT
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ap-4610	218	8	-	-	SYM
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ap-4610	219	3	.	.	PUNCT
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ap-4610	220	2	,	,	PUNCT
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ap-4610	220	4	.	.	PUNCT
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ap-4610	222	3	.	.	PUNCT
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ap-4610	224	6	.	.	PUNCT
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ap-4610	225	2	,	,	PUNCT
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ap-4610	225	4	.	.	PUNCT
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ap-4610	226	9	.	.	PUNCT
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ap-4610	229	2	.	.	PUNCT
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ap-4610	230	4	.	.	PUNCT
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ap-4610	234	3	,	,	PUNCT
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ap-4610	239	4	,	,	PUNCT
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ap-4610	239	6	.	.	PUNCT
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ap-4610	242	2	.	.	PUNCT
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ap-4610	243	3	,	,	PUNCT
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ap-4610	243	5	.	.	PUNCT
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ap-4610	245	6	.	.	PUNCT
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ap-4610	248	5	.	.	PUNCT
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ap-4610	249	6	-	-	PUNCT
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ap-4610	253	5	.	.	PUNCT
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ap-4610	258	4	,	,	PUNCT
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ap-4610	260	4	.	.	PUNCT
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ap-4610	261	4	.	.	PUNCT
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ap-4610	271	5	.	.	PUNCT
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ap-4610	275	5	.	.	PUNCT
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ap-4610	281	4	.	.	PUNCT
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ap-4610	282	2	/	/	SYM
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ap-4610	282	6	-	-	PUNCT
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ap-4610	287	8	a.	a.	PROPN
ap-4610	287	9	stegun	stegun	PROPN
ap-4610	287	10	.	.	PUNCT
ap-4610	288	1	handbook	handbook	NOUN
ap-4610	288	2	of	of	ADP
ap-4610	288	3	mathematical	mathematical	ADJ
ap-4610	288	4	functions	function	NOUN
ap-4610	288	5	.	.	PUNCT
ap-4610	289	1	dover	dover	PROPN
ap-4610	289	2	,	,	PUNCT
ap-4610	289	3	new	new	PROPN
ap-4610	289	4	york	york	PROPN
ap-4610	289	5	,	,	PUNCT
ap-4610	289	6	1970	1970	NUM
ap-4610	289	7	.	.	PUNCT
ap-4610	290	1	[	[	X
ap-4610	290	2	24	24	NUM
ap-4610	290	3	]	]	PUNCT
ap-4610	290	4	r.	r.	PROPN
ap-4610	290	5	henry	henry	PROPN
ap-4610	290	6	,	,	PUNCT
ap-4610	290	7	d.	d.	PROPN
ap-4610	290	8	krejčiřik	krejčiřik	PROPN
ap-4610	290	9	.	.	PUNCT
ap-4610	291	1	arxiv:1503.02478v2	arxiv:1503.02478v2	NOUN
ap-4610	291	2	.	.	PUNCT
ap-4610	292	1	[	[	X
ap-4610	292	2	25	25	NUM
ap-4610	292	3	]	]	X
ap-4610	292	4	d.	d.	PROPN
ap-4610	292	5	j.	j.	PROPN
ap-4610	292	6	griffiths	griffiths	PROPN
ap-4610	292	7	.	.	PUNCT
ap-4610	293	1	introduction	introduction	NOUN
ap-4610	293	2	to	to	ADP
ap-4610	293	3	quantum	quantum	NOUN
ap-4610	293	4	mechanics	mechanic	NOUN
ap-4610	293	5	.	.	PUNCT
ap-4610	294	1	prentice	prentice	PROPN
ap-4610	294	2	hall	hall	PROPN
ap-4610	294	3	,	,	PUNCT
ap-4610	294	4	upper	upper	ADJ
ap-4610	294	5	saddle	saddle	NOUN
ap-4610	294	6	river	river	PROPN
ap-4610	294	7	,	,	PUNCT
ap-4610	294	8	nj	nj	PROPN
ap-4610	294	9	,	,	PUNCT
ap-4610	294	10	1995	1995	NUM
ap-4610	294	11	.	.	PUNCT
ap-4610	295	1	[	[	X
ap-4610	295	2	26	26	NUM
ap-4610	295	3	]	]	PUNCT
ap-4610	295	4	z.	z.	PROPN
ap-4610	295	5	ahmed	ahmed	PROPN
ap-4610	295	6	.	.	PUNCT
ap-4610	296	1	phys	phy	NOUN
ap-4610	296	2	.	.	PUNCT
ap-4610	297	1	lett	lett	PROPN
ap-4610	297	2	.	.	PUNCT
ap-4610	298	1	324:152	324:152	NUM
ap-4610	298	2	,	,	PUNCT
ap-4610	298	3	2004	2004	NUM
ap-4610	298	4	.	.	PUNCT
ap-4610	299	1	doi:10.1016	doi:10.1016	PROPN
ap-4610	299	2	/	/	SYM
ap-4610	299	3	j.physleta.2004.03.002	j.physleta.2004.03.002	PROPN
ap-4610	300	1	[	[	X
ap-4610	300	2	27	27	NUM
ap-4610	300	3	]	]	X
ap-4610	300	4	f.	f.	PROPN
ap-4610	300	5	cannata	cannata	PROPN
ap-4610	300	6	,	,	PUNCT
ap-4610	300	7	j.-p	j.-p	PROPN
ap-4610	300	8	.	.	PUNCT
ap-4610	301	1	dedonder	dedonder	NOUN
ap-4610	301	2	,	,	PUNCT
ap-4610	301	3	a.	a.	PROPN
ap-4610	301	4	ventura	ventura	PROPN
ap-4610	301	5	.	.	PUNCT
ap-4610	302	1	ann	ann	PROPN
ap-4610	302	2	.	.	PUNCT
ap-4610	303	1	phys	phys	PROPN
ap-4610	303	2	.	.	PUNCT
ap-4610	304	1	(	(	PUNCT
ap-4610	304	2	ny	ny	NOUN
ap-4610	304	3	)	)	PUNCT
ap-4610	304	4	322:397	322:397	NUM
ap-4610	304	5	,	,	PUNCT
ap-4610	304	6	2007	2007	NUM
ap-4610	304	7	.	.	PUNCT
ap-4610	305	1	doi:10.1016	doi:10.1016	PROPN
ap-4610	305	2	/	/	SYM
ap-4610	305	3	j.aop.2006.05.011	j.aop.2006.05.011	PROPN
ap-4610	305	4	[	[	X
ap-4610	305	5	28	28	NUM
ap-4610	305	6	]	]	X
ap-4610	305	7	s.	s.	PROPN
ap-4610	305	8	flügge	flügge	PROPN
ap-4610	305	9	.	.	PUNCT
ap-4610	306	1	practical	practical	ADJ
ap-4610	306	2	quantum	quantum	ADJ
ap-4610	306	3	mechanics	mechanic	NOUN
ap-4610	306	4	i.	i.	PROPN
ap-4610	306	5	springer	springer	PROPN
ap-4610	306	6	,	,	PUNCT
ap-4610	306	7	berlin	berlin	PROPN
ap-4610	306	8	,	,	PUNCT
ap-4610	306	9	heidelberg	heidelberg	PROPN
ap-4610	306	10	,	,	PUNCT
ap-4610	306	11	new	new	PROPN
ap-4610	306	12	york	york	PROPN
ap-4610	306	13	,	,	PUNCT
ap-4610	306	14	1971	1971	NUM
ap-4610	306	15	.	.	PUNCT
ap-4610	307	1	[	[	X
ap-4610	307	2	29	29	NUM
ap-4610	307	3	]	]	X
ap-4610	307	4	g.	g.	PROPN
ap-4610	307	5	lévai	lévai	PROPN
ap-4610	307	6	,	,	PUNCT
ap-4610	307	7	m.	m.	NOUN
ap-4610	307	8	znojil	znojil	PROPN
ap-4610	307	9	.	.	PUNCT
ap-4610	308	1	j.	j.	PROPN
ap-4610	308	2	phys	phys	PROPN
ap-4610	308	3	.	.	PUNCT
ap-4610	309	1	a	a	DET
ap-4610	309	2	:	:	PUNCT
ap-4610	309	3	math	math	NOUN
ap-4610	309	4	.	.	PUNCT
ap-4610	310	1	gen	gen	PROPN
ap-4610	310	2	.	.	PROPN
ap-4610	310	3	35:8793	35:8793	NUM
ap-4610	310	4	,	,	PUNCT
ap-4610	310	5	2002	2002	NUM
ap-4610	310	6	.	.	PUNCT
ap-4610	311	1	doi:10.1088/0305	doi:10.1088/0305	ADJ
ap-4610	311	2	-	-	PUNCT
ap-4610	311	3	4470/35/41/311	4470/35/41/311	NUM
ap-4610	311	4	417	417	NUM
ap-4610	311	5	http://dx.doi.org/10.1088/1751-8113/42/19/195302	http://dx.doi.org/10.1088/1751-8113/42/19/195302	NOUN
ap-4610	312	1	http://dx.doi.org/10.1016/j.physleta.2004.01.009	http://dx.doi.org/10.1016/j.physleta.2004.01.009	PROPN
ap-4610	312	2	http://dx.doi.org/10.1088/0305-4470/39/32/s17	http://dx.doi.org/10.1088/0305-4470/39/32/s17	PROPN
ap-4610	313	1	http://dx.doi.org/10.1016/j.physleta.2008.08.073	http://dx.doi.org/10.1016/j.physleta.2008.08.073	PROPN
ap-4610	313	2	http://dx.doi.org/10.1016/s0375-9601(99)00805-1	http://dx.doi.org/10.1016/s0375-9601(99)00805-1	PROPN
ap-4610	313	3	http://dx.doi.org/10.1016/s0375-9601(01)00218-3	http://dx.doi.org/10.1016/s0375-9601(01)00218-3	PROPN
ap-4610	313	4	http://dx.doi.org/10.1088/0305-4470/36/27/313	http://dx.doi.org/10.1088/0305-4470/36/27/313	VERB
ap-4610	313	5	http://dx.doi.org/10.1007/s12043-009-0125-5	http://dx.doi.org/10.1007/s12043-009-0125-5	X
ap-4610	314	1	http://dx.doi.org/10.1088/1751-8113/45/44/444020	http://dx.doi.org/10.1088/1751-8113/45/44/444020	ADP
ap-4610	314	2	http://dx.doi.org/10.1142/s0217732301005722	http://dx.doi.org/10.1142/s0217732301005722	PRON
ap-4610	314	3	http://dx.doi.org/10.1016/j.physleta.2015.04.032	http://dx.doi.org/10.1016/j.physleta.2015.04.032	NOUN
ap-4610	314	4	http://dx.doi.org/10.1007/s10773-010-0595-8	http://dx.doi.org/10.1007/s10773-010-0595-8	PUNCT
ap-4610	314	5	http://dx.doi.org/10.1016/j.physleta.2004.03.002	http://dx.doi.org/10.1016/j.physleta.2004.03.002	PROPN
ap-4610	314	6	http://dx.doi.org/10.1016/j.aop.2006.05.011	http://dx.doi.org/10.1016/j.aop.2006.05.011	PROPN
ap-4610	314	7	http://dx.doi.org/10.1088/0305-4470/35/41/311	http://dx.doi.org/10.1088/0305-4470/35/41/311	PROPN
ap-4610	314	8	acta	acta	PROPN
ap-4610	314	9	polytechnica	polytechnica	PROPN
ap-4610	315	1	57(6):412–417	57(6):412–417	NUM
ap-4610	315	2	,	,	PUNCT
ap-4610	315	3	2017	2017	NUM
ap-4610	315	4	1	1	NUM
ap-4610	315	5	introduction	introduction	NOUN
ap-4610	315	6	2	2	NUM
ap-4610	315	7	the	the	DET
ap-4610	315	8	pt	pt	PROPN
ap-4610	315	9	-	-	PUNCT
ap-4610	315	10	symmetric	symmetric	PROPN
ap-4610	315	11	rosen	rosen	PROPN
ap-4610	315	12	–	–	PUNCT
ap-4610	315	13	morse	morse	PROPN
ap-4610	315	14	ii	ii	PROPN
ap-4610	315	15	potential	potential	NOUN
ap-4610	315	16	3	3	NUM
ap-4610	315	17	the	the	DET
ap-4610	315	18	finite	finite	ADJ
ap-4610	315	19	pt	pt	ADJ
ap-4610	315	20	-	-	ADJ
ap-4610	315	21	symmetric	symmetric	ADJ
ap-4610	315	22	square	square	ADJ
ap-4610	315	23	well	well	INTJ
ap-4610	315	24	potential	potential	ADJ
ap-4610	315	25	4	4	NUM
ap-4610	315	26	conclusions	conclusion	NOUN
ap-4610	315	27	acknowledgements	acknowledgement	NOUN
ap-4610	315	28	references	reference	NOUN