id	sid	tid	token	lemma	pos
ap-7674	1	1	acta	acta	PROPN
ap-7674	1	2	polytechnica	polytechnica	PROPN
ap-7674	1	3	https://doi.org/10.14311/ap.2022.62.0056	https://doi.org/10.14311/ap.2022.62.0056	PROPN
ap-7674	1	4	acta	acta	PROPN
ap-7674	1	5	polytechnica	polytechnica	PROPN
ap-7674	1	6	62(1):56–62	62(1):56–62	NUM
ap-7674	1	7	,	,	PUNCT
ap-7674	1	8	2022	2022	NUM
ap-7674	1	9	©	©	ADP
ap-7674	1	10	2022	2022	NUM
ap-7674	1	11	the	the	DET
ap-7674	1	12	author(s	author(s	NOUN
ap-7674	1	13	)	)	PUNCT
ap-7674	1	14	.	.	PUNCT
ap-7674	2	1	licensed	license	VERB
ap-7674	2	2	under	under	ADP
ap-7674	2	3	a	a	DET
ap-7674	2	4	cc	cc	NOUN
ap-7674	2	5	-	-	PUNCT
ap-7674	2	6	by	by	ADP
ap-7674	2	7	4.0	4.0	NUM
ap-7674	2	8	licence	licence	NOUN
ap-7674	2	9	published	publish	VERB
ap-7674	2	10	by	by	ADP
ap-7674	2	11	the	the	DET
ap-7674	2	12	czech	czech	PROPN
ap-7674	2	13	technical	technical	PROPN
ap-7674	2	14	university	university	PROPN
ap-7674	2	15	in	in	ADP
ap-7674	2	16	prague	prague	PROPN
ap-7674	2	17	time	time	NOUN
ap-7674	2	18	-	-	PUNCT
ap-7674	2	19	dependent	dependent	ADJ
ap-7674	2	20	step	step	NOUN
ap-7674	2	21	-	-	PUNCT
ap-7674	2	22	like	like	ADJ
ap-7674	2	23	potential	potential	NOUN
ap-7674	2	24	with	with	ADP
ap-7674	2	25	a	a	DET
ap-7674	2	26	freezable	freezable	ADJ
ap-7674	2	27	bound	bind	VERB
ap-7674	2	28	state	state	NOUN
ap-7674	2	29	in	in	ADP
ap-7674	2	30	the	the	DET
ap-7674	2	31	continuum	continuum	PROPN
ap-7674	2	32	izamar	izamar	PROPN
ap-7674	2	33	gutiérrez	gutiérrez	PROPN
ap-7674	2	34	altamiranoa,∗	altamiranoa,∗	PROPN
ap-7674	2	35	,	,	PUNCT
ap-7674	2	36	alonso	alonso	PROPN
ap-7674	2	37	contreras	contreras	PROPN
ap-7674	2	38	-	-	PUNCT
ap-7674	2	39	astorgab	astorgab	PROPN
ap-7674	2	40	,	,	PUNCT
ap-7674	2	41	alfredo	alfredo	PROPN
ap-7674	2	42	raya	raya	PROPN
ap-7674	2	43	montañoa	montañoa	PROPN
ap-7674	2	44	,	,	PUNCT
ap-7674	2	45	c	c	PROPN
ap-7674	2	46	a	a	DET
ap-7674	2	47	instituto	instituto	PROPN
ap-7674	2	48	de	de	PROPN
ap-7674	2	49	física	física	PROPN
ap-7674	2	50	y	y	PROPN
ap-7674	2	51	matemáticas	matemáticas	PROPN
ap-7674	2	52	,	,	PUNCT
ap-7674	2	53	universidad	universidad	PROPN
ap-7674	2	54	michoacana	michoacana	PROPN
ap-7674	2	55	de	de	PROPN
ap-7674	2	56	san	san	PROPN
ap-7674	2	57	nicolás	nicolás	PROPN
ap-7674	2	58	de	de	X
ap-7674	2	59	hidalgo	hidalgo	PROPN
ap-7674	2	60	,	,	PUNCT
ap-7674	2	61	edificio	edificio	PROPN
ap-7674	2	62	c-3	c-3	PROPN
ap-7674	2	63	,	,	PUNCT
ap-7674	2	64	ciudad	ciudad	PROPN
ap-7674	2	65	universitaria	universitaria	PROPN
ap-7674	2	66	.	.	PROPN
ap-7674	3	1	francisco	francisco	PROPN
ap-7674	3	2	j.	j.	PROPN
ap-7674	3	3	mújica	mújica	PROPN
ap-7674	3	4	s	s	PROPN
ap-7674	3	5	/	/	SYM
ap-7674	3	6	n.	n.	PROPN
ap-7674	3	7	col	col	PROPN
ap-7674	3	8	.	.	PROPN
ap-7674	3	9	felícitas	felícitas	PROPN
ap-7674	3	10	del	del	PROPN
ap-7674	3	11	río	río	PROPN
ap-7674	3	12	.	.	PUNCT
ap-7674	4	1	58040	58040	NUM
ap-7674	4	2	morelia	morelia	PROPN
ap-7674	4	3	,	,	PUNCT
ap-7674	4	4	michoacán	michoacán	NOUN
ap-7674	4	5	,	,	PUNCT
ap-7674	4	6	méxico	méxico	PROPN
ap-7674	4	7	b	b	PROPN
ap-7674	4	8	conacyt	conacyt	PROPN
ap-7674	4	9	–	–	PUNCT
ap-7674	4	10	physics	physics	NOUN
ap-7674	4	11	department	department	NOUN
ap-7674	4	12	,	,	PUNCT
ap-7674	4	13	cinvestav	cinvestav	NOUN
ap-7674	4	14	,	,	PUNCT
ap-7674	4	15	p.o	p.o	PROPN
ap-7674	4	16	.	.	PROPN
ap-7674	4	17	box	box	PROPN
ap-7674	4	18	.	.	PUNCT
ap-7674	5	1	14	14	NUM
ap-7674	5	2	-	-	SYM
ap-7674	5	3	740	740	NUM
ap-7674	5	4	,	,	PUNCT
ap-7674	5	5	07000	07000	NUM
ap-7674	5	6	mexico	mexico	PROPN
ap-7674	5	7	city	city	PROPN
ap-7674	5	8	,	,	PUNCT
ap-7674	5	9	mexico	mexico	PROPN
ap-7674	5	10	c	c	PROPN
ap-7674	5	11	centro	centro	PROPN
ap-7674	5	12	de	de	PROPN
ap-7674	5	13	ciencias	ciencias	PROPN
ap-7674	5	14	exactas	exacta	NOUN
ap-7674	5	15	,	,	PUNCT
ap-7674	5	16	universidad	universidad	PROPN
ap-7674	5	17	del	del	PROPN
ap-7674	5	18	bío	bío	PROPN
ap-7674	5	19	-	-	PUNCT
ap-7674	5	20	bío	bío	PROPN
ap-7674	5	21	,	,	PUNCT
ap-7674	5	22	avda	avda	NOUN
ap-7674	5	23	.	.	PUNCT
ap-7674	6	1	andrés	andrés	PROPN
ap-7674	6	2	bello	bello	PROPN
ap-7674	6	3	720	720	NUM
ap-7674	6	4	,	,	PUNCT
ap-7674	6	5	casilla	casilla	X
ap-7674	6	6	447	447	NUM
ap-7674	6	7	,	,	PUNCT
ap-7674	6	8	3800708	3800708	NUM
ap-7674	6	9	,	,	PUNCT
ap-7674	6	10	chillán	chillán	NOUN
ap-7674	6	11	,	,	PUNCT
ap-7674	6	12	chile	chile	NOUN
ap-7674	6	13	∗	∗	NOUN
ap-7674	6	14	corresponding	correspond	VERB
ap-7674	6	15	author	author	NOUN
ap-7674	6	16	:	:	PUNCT
ap-7674	6	17	izamar.gutierrez@umich.mx	izamar.gutierrez@umich.mx	NOUN
ap-7674	6	18	abstract	abstract	NOUN
ap-7674	6	19	.	.	PUNCT
ap-7674	7	1	in	in	ADP
ap-7674	7	2	this	this	DET
ap-7674	7	3	work	work	NOUN
ap-7674	7	4	,	,	PUNCT
ap-7674	7	5	we	we	PRON
ap-7674	7	6	construct	construct	VERB
ap-7674	7	7	a	a	DET
ap-7674	7	8	time	time	NOUN
ap-7674	7	9	-	-	PUNCT
ap-7674	7	10	dependent	dependent	ADJ
ap-7674	7	11	step	step	NOUN
ap-7674	7	12	-	-	PUNCT
ap-7674	7	13	like	like	ADJ
ap-7674	7	14	potential	potential	NOUN
ap-7674	7	15	supporting	support	VERB
ap-7674	7	16	a	a	DET
ap-7674	7	17	normalizable	normalizable	ADJ
ap-7674	7	18	state	state	NOUN
ap-7674	7	19	with	with	ADP
ap-7674	7	20	energy	energy	NOUN
ap-7674	7	21	embedded	embed	VERB
ap-7674	7	22	in	in	ADP
ap-7674	7	23	the	the	DET
ap-7674	7	24	continuum	continuum	PROPN
ap-7674	7	25	.	.	PUNCT
ap-7674	8	1	the	the	DET
ap-7674	8	2	potential	potential	NOUN
ap-7674	8	3	is	be	AUX
ap-7674	8	4	allowed	allow	VERB
ap-7674	8	5	to	to	PART
ap-7674	8	6	evolve	evolve	VERB
ap-7674	8	7	until	until	ADP
ap-7674	8	8	a	a	DET
ap-7674	8	9	stopping	stopping	NOUN
ap-7674	8	10	time	time	NOUN
ap-7674	8	11	ti	ti	NOUN
ap-7674	8	12	,	,	PUNCT
ap-7674	8	13	where	where	SCONJ
ap-7674	8	14	it	it	PRON
ap-7674	8	15	becomes	become	VERB
ap-7674	8	16	static	static	ADJ
ap-7674	8	17	.	.	PUNCT
ap-7674	9	1	the	the	DET
ap-7674	9	2	normalizable	normalizable	ADJ
ap-7674	9	3	state	state	NOUN
ap-7674	9	4	also	also	ADV
ap-7674	9	5	evolves	evolve	VERB
ap-7674	9	6	but	but	CCONJ
ap-7674	9	7	remains	remain	VERB
ap-7674	9	8	localized	localize	VERB
ap-7674	9	9	at	at	ADP
ap-7674	9	10	every	every	DET
ap-7674	9	11	fixed	fix	VERB
ap-7674	9	12	time	time	NOUN
ap-7674	9	13	up	up	ADP
ap-7674	9	14	to	to	ADP
ap-7674	9	15	ti	ti	NOUN
ap-7674	9	16	.	.	PUNCT
ap-7674	10	1	after	after	ADP
ap-7674	10	2	this	this	DET
ap-7674	10	3	time	time	NOUN
ap-7674	10	4	,	,	PUNCT
ap-7674	10	5	the	the	DET
ap-7674	10	6	probability	probability	NOUN
ap-7674	10	7	density	density	NOUN
ap-7674	10	8	of	of	ADP
ap-7674	10	9	this	this	DET
ap-7674	10	10	state	state	NOUN
ap-7674	10	11	freezes	freeze	VERB
ap-7674	10	12	becoming	become	VERB
ap-7674	10	13	a	a	DET
ap-7674	10	14	bound	bound	ADJ
ap-7674	10	15	state	state	NOUN
ap-7674	10	16	in	in	ADP
ap-7674	10	17	the	the	DET
ap-7674	10	18	continuum	continuum	PROPN
ap-7674	10	19	.	.	PUNCT
ap-7674	10	20	closed	close	VERB
ap-7674	10	21	expressions	expression	NOUN
ap-7674	10	22	for	for	ADP
ap-7674	10	23	the	the	DET
ap-7674	10	24	potential	potential	NOUN
ap-7674	10	25	,	,	PUNCT
ap-7674	10	26	the	the	DET
ap-7674	10	27	freezable	freezable	ADJ
ap-7674	10	28	bound	bind	VERB
ap-7674	10	29	state	state	NOUN
ap-7674	10	30	in	in	ADP
ap-7674	10	31	the	the	DET
ap-7674	10	32	continuum	continuum	ADJ
ap-7674	10	33	,	,	PUNCT
ap-7674	10	34	and	and	CCONJ
ap-7674	10	35	scattering	scatter	VERB
ap-7674	10	36	states	state	NOUN
ap-7674	10	37	are	be	AUX
ap-7674	10	38	given	give	VERB
ap-7674	10	39	.	.	PUNCT
ap-7674	11	1	keywords	keyword	NOUN
ap-7674	11	2	:	:	PUNCT
ap-7674	11	3	bound	bind	VERB
ap-7674	11	4	states	state	NOUN
ap-7674	11	5	in	in	ADP
ap-7674	11	6	the	the	DET
ap-7674	11	7	continuum	continuum	ADJ
ap-7674	11	8	,	,	PUNCT
ap-7674	11	9	supersymmetric	supersymmetric	ADJ
ap-7674	11	10	quantum	quantum	NOUN
ap-7674	11	11	mechanics	mechanic	NOUN
ap-7674	11	12	,	,	PUNCT
ap-7674	11	13	time	time	NOUN
ap-7674	11	14	-	-	PUNCT
ap-7674	11	15	dependent	dependent	ADJ
ap-7674	11	16	quantum	quantum	NOUN
ap-7674	11	17	systems	system	NOUN
ap-7674	11	18	.	.	PUNCT
ap-7674	12	1	1	1	X
ap-7674	12	2	.	.	X
ap-7674	12	3	introduction	introduction	NOUN
ap-7674	12	4	the	the	DET
ap-7674	12	5	first	first	ADJ
ap-7674	12	6	discussion	discussion	NOUN
ap-7674	12	7	of	of	ADP
ap-7674	12	8	bound	bind	VERB
ap-7674	12	9	states	state	NOUN
ap-7674	12	10	in	in	ADP
ap-7674	12	11	the	the	DET
ap-7674	12	12	continuum	continuum	ADJ
ap-7674	12	13	(	(	PUNCT
ap-7674	12	14	bics	bic	NOUN
ap-7674	12	15	)	)	PUNCT
ap-7674	12	16	in	in	ADP
ap-7674	12	17	quantum	quantum	ADJ
ap-7674	12	18	mechanics	mechanic	NOUN
ap-7674	12	19	dates	date	VERB
ap-7674	12	20	back	back	ADV
ap-7674	12	21	to	to	ADP
ap-7674	12	22	von	von	PROPN
ap-7674	12	23	neumann	neumann	PROPN
ap-7674	12	24	and	and	CCONJ
ap-7674	13	1	wigner	wigner	NOUN
ap-7674	13	2	[	[	X
ap-7674	13	3	1	1	NUM
ap-7674	13	4	]	]	PUNCT
ap-7674	13	5	who	who	PRON
ap-7674	13	6	constructed	construct	VERB
ap-7674	13	7	normalizable	normalizable	ADJ
ap-7674	13	8	states	state	NOUN
ap-7674	13	9	corresponding	correspond	VERB
ap-7674	13	10	to	to	ADP
ap-7674	13	11	an	an	DET
ap-7674	13	12	energy	energy	NOUN
ap-7674	13	13	embedded	embed	VERB
ap-7674	13	14	in	in	ADP
ap-7674	13	15	the	the	DET
ap-7674	13	16	continuum	continuum	NOUN
ap-7674	13	17	in	in	ADP
ap-7674	13	18	a	a	DET
ap-7674	13	19	periodic	periodic	ADJ
ap-7674	13	20	potential	potential	ADJ
ap-7674	13	21	v	v	NOUN
ap-7674	13	22	(	(	PUNCT
ap-7674	13	23	r	r	NOUN
ap-7674	13	24	)	)	PUNCT
ap-7674	13	25	=	=	SYM
ap-7674	13	26	e	e	X
ap-7674	13	27	+	+	NOUN
ap-7674	13	28	∇2ψ	∇2ψ	PROPN
ap-7674	13	29	/	/	SYM
ap-7674	13	30	ψ	ψ	NOUN
ap-7674	13	31	from	from	ADP
ap-7674	13	32	a	a	DET
ap-7674	13	33	modulated	modulate	VERB
ap-7674	13	34	free	free	ADJ
ap-7674	13	35	-	-	PUNCT
ap-7674	13	36	particle	particle	NOUN
ap-7674	13	37	wave	wave	NOUN
ap-7674	13	38	function	function	NOUN
ap-7674	13	39	ψ(r	ψ(r	NOUN
ap-7674	13	40	)	)	PUNCT
ap-7674	13	41	=	=	SYM
ap-7674	13	42	(	(	PUNCT
ap-7674	13	43	sin(r)/r)f(r	sin(r)/r)f(r	NOUN
ap-7674	13	44	)	)	PUNCT
ap-7674	13	45	,	,	PUNCT
ap-7674	13	46	with	with	ADP
ap-7674	13	47	twice	twice	DET
ap-7674	13	48	the	the	DET
ap-7674	13	49	period	period	NOUN
ap-7674	13	50	of	of	ADP
ap-7674	13	51	the	the	DET
ap-7674	13	52	potential	potential	NOUN
ap-7674	13	53	.	.	PUNCT
ap-7674	14	1	the	the	DET
ap-7674	14	2	localization	localization	NOUN
ap-7674	14	3	of	of	ADP
ap-7674	14	4	this	this	DET
ap-7674	14	5	state	state	NOUN
ap-7674	14	6	is	be	AUX
ap-7674	14	7	interpreted	interpret	VERB
ap-7674	14	8	as	as	ADP
ap-7674	14	9	the	the	DET
ap-7674	14	10	result	result	NOUN
ap-7674	14	11	of	of	ADP
ap-7674	14	12	its	its	PRON
ap-7674	14	13	reflection	reflection	NOUN
ap-7674	14	14	in	in	ADP
ap-7674	14	15	the	the	DET
ap-7674	14	16	bragg	bragg	PROPN
ap-7674	14	17	mirror	mirror	NOUN
ap-7674	14	18	generated	generate	VERB
ap-7674	14	19	by	by	ADP
ap-7674	14	20	the	the	DET
ap-7674	14	21	wrinkles	wrinkle	NOUN
ap-7674	14	22	of	of	ADP
ap-7674	14	23	v	v	NOUN
ap-7674	14	24	(	(	PUNCT
ap-7674	14	25	r	r	NOUN
ap-7674	14	26	)	)	PUNCT
ap-7674	14	27	as	as	SCONJ
ap-7674	14	28	r	r	NOUN
ap-7674	14	29	→	→	SYM
ap-7674	14	30	∞.	∞.	PROPN
ap-7674	14	31	the	the	DET
ap-7674	14	32	extended	extended	ADJ
ap-7674	14	33	family	family	NOUN
ap-7674	14	34	of	of	ADP
ap-7674	14	35	von	von	PROPN
ap-7674	14	36	-	-	PUNCT
ap-7674	14	37	neumann	neumann	PROPN
ap-7674	14	38	and	and	CCONJ
ap-7674	14	39	wigner	wigner	ADJ
ap-7674	14	40	potentials	potential	NOUN
ap-7674	14	41	have	have	AUX
ap-7674	14	42	been	be	AUX
ap-7674	14	43	discussed	discuss	VERB
ap-7674	14	44	and	and	CCONJ
ap-7674	14	45	extended	extend	VERB
ap-7674	14	46	for	for	ADP
ap-7674	14	47	many	many	ADJ
ap-7674	14	48	years	year	NOUN
ap-7674	15	1	[	[	X
ap-7674	15	2	2–5	2–5	X
ap-7674	15	3	]	]	PUNCT
ap-7674	15	4	from	from	ADP
ap-7674	15	5	different	different	ADJ
ap-7674	15	6	frameworks	framework	NOUN
ap-7674	15	7	including	include	VERB
ap-7674	15	8	the	the	DET
ap-7674	15	9	gelfan	gelfan	NOUN
ap-7674	15	10	-	-	PUNCT
ap-7674	15	11	levitan	levitan	ADJ
ap-7674	15	12	equation	equation	NOUN
ap-7674	15	13	[	[	X
ap-7674	15	14	6	6	NUM
ap-7674	15	15	]	]	PUNCT
ap-7674	15	16	also	also	ADV
ap-7674	15	17	known	know	VERB
ap-7674	15	18	as	as	ADP
ap-7674	15	19	inverse	inverse	NOUN
ap-7674	15	20	scattering	scattering	NOUN
ap-7674	15	21	method	method	NOUN
ap-7674	15	22	[	[	X
ap-7674	15	23	4	4	NUM
ap-7674	15	24	,	,	PUNCT
ap-7674	15	25	7	7	NUM
ap-7674	15	26	]	]	PUNCT
ap-7674	15	27	,	,	PUNCT
ap-7674	15	28	darboux	darboux	VERB
ap-7674	15	29	transformations	transformation	NOUN
ap-7674	15	30	[	[	X
ap-7674	15	31	8	8	NUM
ap-7674	15	32	,	,	PUNCT
ap-7674	15	33	9	9	NUM
ap-7674	15	34	]	]	PUNCT
ap-7674	15	35	and	and	CCONJ
ap-7674	15	36	supersymmetry	supersymmetry	NOUN
ap-7674	15	37	(	(	PUNCT
ap-7674	15	38	susy	susy	NOUN
ap-7674	15	39	)	)	PUNCT
ap-7674	16	1	[	[	X
ap-7674	16	2	10–13	10–13	NUM
ap-7674	16	3	]	]	X
ap-7674	16	4	,	,	PUNCT
ap-7674	16	5	among	among	ADP
ap-7674	16	6	others	other	NOUN
ap-7674	16	7	.	.	PUNCT
ap-7674	17	1	bound	bind	VERB
ap-7674	17	2	states	state	NOUN
ap-7674	17	3	in	in	ADP
ap-7674	17	4	the	the	DET
ap-7674	17	5	continuum	continuum	NOUN
ap-7674	17	6	are	be	AUX
ap-7674	17	7	nowadays	nowadays	ADV
ap-7674	17	8	recognized	recognize	VERB
ap-7674	17	9	as	as	ADP
ap-7674	17	10	a	a	DET
ap-7674	17	11	general	general	ADJ
ap-7674	17	12	wave	wave	NOUN
ap-7674	17	13	phenomenon	phenomenon	NOUN
ap-7674	17	14	and	and	CCONJ
ap-7674	17	15	has	have	AUX
ap-7674	17	16	been	be	AUX
ap-7674	17	17	explored	explore	VERB
ap-7674	17	18	theoretically	theoretically	ADV
ap-7674	17	19	and	and	CCONJ
ap-7674	17	20	experimentally	experimentally	ADV
ap-7674	17	21	in	in	ADP
ap-7674	17	22	many	many	ADJ
ap-7674	17	23	different	different	ADJ
ap-7674	17	24	setups	setup	NOUN
ap-7674	17	25	,	,	PUNCT
ap-7674	17	26	see	see	VERB
ap-7674	17	27	[	[	X
ap-7674	17	28	14	14	NUM
ap-7674	17	29	]	]	PUNCT
ap-7674	17	30	for	for	ADP
ap-7674	17	31	a	a	DET
ap-7674	17	32	recent	recent	ADJ
ap-7674	17	33	review	review	NOUN
ap-7674	17	34	.	.	PUNCT
ap-7674	18	1	exact	exact	ADJ
ap-7674	18	2	solutions	solution	NOUN
ap-7674	18	3	to	to	ADP
ap-7674	18	4	the	the	DET
ap-7674	18	5	time	time	NOUN
ap-7674	18	6	-	-	PUNCT
ap-7674	18	7	dependent	dependent	ADJ
ap-7674	18	8	schrödinger	schrödinger	ADJ
ap-7674	18	9	equation	equation	NOUN
ap-7674	18	10	are	be	AUX
ap-7674	18	11	known	know	VERB
ap-7674	18	12	only	only	ADV
ap-7674	18	13	in	in	ADP
ap-7674	18	14	a	a	DET
ap-7674	18	15	few	few	ADJ
ap-7674	18	16	cases	case	NOUN
ap-7674	18	17	,	,	PUNCT
ap-7674	18	18	including	include	VERB
ap-7674	18	19	the	the	DET
ap-7674	18	20	potential	potential	ADJ
ap-7674	18	21	wells	well	NOUN
ap-7674	18	22	with	with	ADP
ap-7674	18	23	moving	move	VERB
ap-7674	18	24	walls	wall	NOUN
ap-7674	18	25	[	[	X
ap-7674	18	26	15	15	NUM
ap-7674	18	27	,	,	PUNCT
ap-7674	18	28	16	16	NUM
ap-7674	18	29	]	]	PUNCT
ap-7674	18	30	,	,	PUNCT
ap-7674	18	31	which	which	PRON
ap-7674	18	32	has	have	AUX
ap-7674	18	33	been	be	AUX
ap-7674	18	34	explored	explore	VERB
ap-7674	18	35	from	from	ADP
ap-7674	18	36	several	several	ADJ
ap-7674	18	37	approaches	approach	NOUN
ap-7674	18	38	(	(	PUNCT
ap-7674	18	39	see	see	VERB
ap-7674	18	40	,	,	PUNCT
ap-7674	18	41	for	for	ADP
ap-7674	18	42	instance	instance	NOUN
ap-7674	18	43	,	,	PUNCT
ap-7674	18	44	ref	ref	NOUN
ap-7674	18	45	.	.	PUNCT
ap-7674	19	1	[	[	X
ap-7674	19	2	17	17	NUM
ap-7674	19	3	]	]	PUNCT
ap-7674	19	4	and	and	CCONJ
ap-7674	19	5	references	reference	NOUN
ap-7674	19	6	therein	therein	ADV
ap-7674	19	7	)	)	PUNCT
ap-7674	19	8	including	include	VERB
ap-7674	19	9	the	the	DET
ap-7674	19	10	adiabatic	adiabatic	ADJ
ap-7674	19	11	approximation	approximation	NOUN
ap-7674	19	12	[	[	X
ap-7674	19	13	18	18	NUM
ap-7674	19	14	]	]	PUNCT
ap-7674	19	15	and	and	CCONJ
ap-7674	19	16	perturbation	perturbation	NOUN
ap-7674	19	17	theory	theory	NOUN
ap-7674	19	18	[	[	X
ap-7674	19	19	16	16	NUM
ap-7674	19	20	]	]	PUNCT
ap-7674	19	21	and	and	CCONJ
ap-7674	19	22	through	through	ADP
ap-7674	19	23	point	point	NOUN
ap-7674	19	24	transformations	transformation	NOUN
ap-7674	19	25	[	[	X
ap-7674	19	26	19	19	NUM
ap-7674	19	27	–	–	PUNCT
ap-7674	19	28	23	23	NUM
ap-7674	19	29	]	]	PUNCT
ap-7674	19	30	,	,	PUNCT
ap-7674	19	31	which	which	PRON
ap-7674	19	32	combined	combine	VERB
ap-7674	19	33	with	with	ADP
ap-7674	19	34	supersymmetry	supersymmetry	NOUN
ap-7674	19	35	techniques	technique	NOUN
ap-7674	19	36	allow	allow	VERB
ap-7674	19	37	to	to	PART
ap-7674	19	38	extend	extend	VERB
ap-7674	19	39	from	from	ADP
ap-7674	19	40	the	the	DET
ap-7674	19	41	infinite	infinite	ADJ
ap-7674	19	42	potential	potential	NOUN
ap-7674	19	43	well	well	NOUN
ap-7674	19	44	with	with	ADP
ap-7674	19	45	a	a	DET
ap-7674	19	46	moving	move	VERB
ap-7674	19	47	wall	wall	NOUN
ap-7674	19	48	to	to	ADP
ap-7674	19	49	the	the	DET
ap-7674	19	50	trigonometric	trigonometric	ADJ
ap-7674	19	51	pöschl	pöschl	NOUN
ap-7674	19	52	-	-	PUNCT
ap-7674	19	53	teller	teller	NOUN
ap-7674	19	54	potential	potential	NOUN
ap-7674	19	55	[	[	X
ap-7674	19	56	24	24	NUM
ap-7674	19	57	]	]	PUNCT
ap-7674	19	58	.	.	PUNCT
ap-7674	20	1	in	in	ADP
ap-7674	20	2	this	this	DET
ap-7674	20	3	article	article	NOUN
ap-7674	20	4	,	,	PUNCT
ap-7674	20	5	we	we	PRON
ap-7674	20	6	present	present	VERB
ap-7674	20	7	the	the	DET
ap-7674	20	8	construction	construction	NOUN
ap-7674	20	9	of	of	ADP
ap-7674	20	10	a	a	DET
ap-7674	20	11	timedependent	timedependent	NOUN
ap-7674	20	12	step	step	NOUN
ap-7674	20	13	-	-	PUNCT
ap-7674	20	14	like	like	ADJ
ap-7674	20	15	potential	potential	NOUN
ap-7674	20	16	.	.	PUNCT
ap-7674	21	1	we	we	PRON
ap-7674	21	2	depart	depart	VERB
ap-7674	21	3	from	from	ADP
ap-7674	21	4	the	the	DET
ap-7674	21	5	standard	standard	ADJ
ap-7674	21	6	stationary	stationary	ADJ
ap-7674	21	7	step	step	NOUN
ap-7674	21	8	potential	potential	NOUN
ap-7674	21	9	and	and	CCONJ
ap-7674	21	10	apply	apply	VERB
ap-7674	21	11	a	a	DET
ap-7674	21	12	secondorder	secondorder	ADJ
ap-7674	21	13	supersymmetric	supersymmetric	ADJ
ap-7674	21	14	transformation	transformation	NOUN
ap-7674	21	15	to	to	PART
ap-7674	21	16	add	add	VERB
ap-7674	21	17	a	a	DET
ap-7674	21	18	bic	bic	NOUN
ap-7674	21	19	.	.	PUNCT
ap-7674	22	1	then	then	ADV
ap-7674	22	2	,	,	PUNCT
ap-7674	22	3	by	by	ADP
ap-7674	22	4	means	mean	NOUN
ap-7674	22	5	of	of	ADP
ap-7674	22	6	a	a	DET
ap-7674	22	7	point	point	NOUN
ap-7674	22	8	transformation	transformation	NOUN
ap-7674	22	9	,	,	PUNCT
ap-7674	22	10	the	the	DET
ap-7674	22	11	potential	potential	NOUN
ap-7674	22	12	and	and	CCONJ
ap-7674	22	13	the	the	DET
ap-7674	22	14	state	state	NOUN
ap-7674	22	15	become	become	VERB
ap-7674	22	16	dynamic	dynamic	ADJ
ap-7674	22	17	and	and	CCONJ
ap-7674	22	18	we	we	PRON
ap-7674	22	19	allow	allow	VERB
ap-7674	22	20	them	they	PRON
ap-7674	22	21	to	to	PART
ap-7674	22	22	evolve	evolve	VERB
ap-7674	22	23	.	.	PUNCT
ap-7674	23	1	after	after	ADP
ap-7674	23	2	a	a	DET
ap-7674	23	3	certain	certain	ADJ
ap-7674	23	4	time	time	NOUN
ap-7674	23	5	,	,	PUNCT
ap-7674	23	6	we	we	PRON
ap-7674	23	7	assume	assume	VERB
ap-7674	23	8	that	that	SCONJ
ap-7674	23	9	all	all	DET
ap-7674	23	10	the	the	DET
ap-7674	23	11	time	time	NOUN
ap-7674	23	12	-	-	PUNCT
ap-7674	23	13	dependence	dependence	NOUN
ap-7674	23	14	of	of	ADP
ap-7674	23	15	the	the	DET
ap-7674	23	16	potential	potential	NOUN
ap-7674	23	17	is	be	AUX
ap-7674	23	18	frozen	freeze	VERB
ap-7674	23	19	,	,	PUNCT
ap-7674	23	20	such	such	ADJ
ap-7674	23	21	that	that	SCONJ
ap-7674	23	22	the	the	DET
ap-7674	23	23	potential	potential	NOUN
ap-7674	23	24	becomes	become	VERB
ap-7674	23	25	stationary	stationary	ADJ
ap-7674	23	26	again	again	ADV
ap-7674	23	27	and	and	CCONJ
ap-7674	23	28	explore	explore	VERB
ap-7674	23	29	the	the	DET
ap-7674	23	30	behavior	behavior	NOUN
ap-7674	23	31	of	of	ADP
ap-7674	23	32	the	the	DET
ap-7674	23	33	normalizable	normalizable	ADJ
ap-7674	23	34	state	state	NOUN
ap-7674	23	35	.	.	PUNCT
ap-7674	24	1	intriguingly	intriguingly	ADV
ap-7674	24	2	,	,	PUNCT
ap-7674	24	3	it	it	PRON
ap-7674	24	4	is	be	AUX
ap-7674	24	5	seen	see	VERB
ap-7674	24	6	that	that	SCONJ
ap-7674	24	7	the	the	DET
ap-7674	24	8	freezable	freezable	ADJ
ap-7674	24	9	bic	bic	NOUN
ap-7674	24	10	is	be	AUX
ap-7674	24	11	not	not	PART
ap-7674	24	12	an	an	DET
ap-7674	24	13	eigensolution	eigensolution	NOUN
ap-7674	24	14	of	of	ADP
ap-7674	24	15	the	the	DET
ap-7674	24	16	stationary	stationary	ADJ
ap-7674	24	17	schrödinger	schrödinger	ADJ
ap-7674	24	18	equation	equation	NOUN
ap-7674	24	19	in	in	ADP
ap-7674	24	20	the	the	DET
ap-7674	24	21	frozen	frozen	ADJ
ap-7674	24	22	potential	potential	NOUN
ap-7674	24	23	,	,	PUNCT
ap-7674	24	24	but	but	CCONJ
ap-7674	24	25	rather	rather	ADV
ap-7674	24	26	solves	solve	VERB
ap-7674	24	27	an	an	DET
ap-7674	24	28	equation	equation	NOUN
ap-7674	24	29	that	that	PRON
ap-7674	24	30	includes	include	VERB
ap-7674	24	31	a	a	DET
ap-7674	24	32	vector	vector	NOUN
ap-7674	24	33	potential	potential	NOUN
ap-7674	24	34	that	that	PRON
ap-7674	24	35	does	do	AUX
ap-7674	24	36	not	not	PART
ap-7674	24	37	generate	generate	VERB
ap-7674	24	38	a	a	DET
ap-7674	24	39	magnetic	magnetic	ADJ
ap-7674	24	40	field	field	NOUN
ap-7674	24	41	whatsoever	whatsoever	ADV
ap-7674	24	42	.	.	PUNCT
ap-7674	25	1	thus	thus	ADV
ap-7674	25	2	,	,	PUNCT
ap-7674	25	3	by	by	ADP
ap-7674	25	4	an	an	DET
ap-7674	25	5	appropriate	appropriate	ADJ
ap-7674	25	6	gauge	gauge	NOUN
ap-7674	25	7	transformation	transformation	NOUN
ap-7674	25	8	,	,	PUNCT
ap-7674	25	9	we	we	PRON
ap-7674	25	10	gauge	gauge	VERB
ap-7674	25	11	away	away	ADV
ap-7674	25	12	the	the	DET
ap-7674	25	13	vector	vector	NOUN
ap-7674	25	14	potential	potential	NOUN
ap-7674	25	15	and	and	CCONJ
ap-7674	25	16	observe	observe	VERB
ap-7674	25	17	the	the	DET
ap-7674	25	18	bic	bic	NOUN
ap-7674	25	19	that	that	PRON
ap-7674	25	20	remains	remain	VERB
ap-7674	25	21	frozen	frozen	ADJ
ap-7674	25	22	as	as	ADP
ap-7674	25	23	an	an	DET
ap-7674	25	24	eigenstate	eigenstate	NOUN
ap-7674	25	25	of	of	ADP
ap-7674	25	26	the	the	DET
ap-7674	25	27	stationary	stationary	ADJ
ap-7674	25	28	hamiltonian	hamiltonian	NOUN
ap-7674	25	29	after	after	SCONJ
ap-7674	25	30	the	the	DET
ap-7674	25	31	potential	potential	NOUN
ap-7674	25	32	ceases	cease	VERB
ap-7674	25	33	to	to	PART
ap-7674	25	34	evolve	evolve	VERB
ap-7674	25	35	in	in	ADP
ap-7674	25	36	time	time	NOUN
ap-7674	25	37	.	.	PUNCT
ap-7674	26	1	in	in	ADP
ap-7674	26	2	order	order	NOUN
ap-7674	26	3	to	to	PART
ap-7674	26	4	expose	expose	VERB
ap-7674	26	5	our	our	PRON
ap-7674	26	6	results	result	NOUN
ap-7674	26	7	,	,	PUNCT
ap-7674	26	8	we	we	PRON
ap-7674	26	9	have	have	AUX
ap-7674	26	10	organized	organize	VERB
ap-7674	26	11	the	the	DET
ap-7674	26	12	remaining	remain	VERB
ap-7674	26	13	of	of	ADP
ap-7674	26	14	this	this	DET
ap-7674	26	15	article	article	NOUN
ap-7674	26	16	as	as	SCONJ
ap-7674	26	17	follows	follow	VERB
ap-7674	26	18	:	:	PUNCT
ap-7674	26	19	in	in	ADP
ap-7674	26	20	section	section	NOUN
ap-7674	26	21	2	2	NUM
ap-7674	26	22	we	we	PRON
ap-7674	26	23	describe	describe	VERB
ap-7674	26	24	the	the	DET
ap-7674	26	25	preliminaries	preliminary	NOUN
ap-7674	26	26	of	of	ADP
ap-7674	26	27	susy	susy	NOUN
ap-7674	26	28	and	and	CCONJ
ap-7674	26	29	a	a	DET
ap-7674	26	30	point	point	NOUN
ap-7674	26	31	transformation	transformation	NOUN
ap-7674	26	32	.	.	PUNCT
ap-7674	27	1	section	section	NOUN
ap-7674	27	2	3	3	NUM
ap-7674	27	3	presents	present	VERB
ap-7674	27	4	the	the	DET
ap-7674	27	5	construction	construction	NOUN
ap-7674	27	6	of	of	ADP
ap-7674	27	7	the	the	DET
ap-7674	27	8	time	time	NOUN
ap-7674	27	9	-	-	PUNCT
ap-7674	27	10	dependent	dependent	ADJ
ap-7674	27	11	step	step	NOUN
ap-7674	27	12	-	-	PUNCT
ap-7674	27	13	like	like	ADJ
ap-7674	27	14	potential	potential	NOUN
ap-7674	27	15	and	and	CCONJ
ap-7674	27	16	give	give	VERB
ap-7674	27	17	explicit	explicit	ADJ
ap-7674	27	18	expressions	expression	NOUN
ap-7674	27	19	for	for	ADP
ap-7674	27	20	the	the	DET
ap-7674	27	21	freezable	freezable	ADJ
ap-7674	27	22	bic	bic	NOUN
ap-7674	27	23	and	and	CCONJ
ap-7674	27	24	scattering	scatter	VERB
ap-7674	27	25	states	state	NOUN
ap-7674	27	26	.	.	PUNCT
ap-7674	28	1	final	final	ADJ
ap-7674	28	2	remarks	remark	NOUN
ap-7674	28	3	are	be	AUX
ap-7674	28	4	presented	present	VERB
ap-7674	28	5	in	in	ADP
ap-7674	28	6	section	section	NOUN
ap-7674	28	7	4	4	NUM
ap-7674	28	8	.	.	NOUN
ap-7674	29	1	2	2	NUM
ap-7674	29	2	.	.	X
ap-7674	29	3	supersymmetry	supersymmetry	NOUN
ap-7674	29	4	and	and	CCONJ
ap-7674	29	5	a	a	DET
ap-7674	29	6	point	point	NOUN
ap-7674	29	7	transformation	transformation	NOUN
ap-7674	29	8	point	point	NOUN
ap-7674	29	9	transformation	transformation	NOUN
ap-7674	29	10	is	be	AUX
ap-7674	29	11	a	a	DET
ap-7674	29	12	successful	successful	ADJ
ap-7674	29	13	technique	technique	NOUN
ap-7674	29	14	to	to	PART
ap-7674	29	15	define	define	VERB
ap-7674	29	16	a	a	DET
ap-7674	29	17	time	time	NOUN
ap-7674	29	18	-	-	PUNCT
ap-7674	29	19	dependent	dependent	ADJ
ap-7674	29	20	schrödinger	schrödinger	ADJ
ap-7674	29	21	equation	equation	NOUN
ap-7674	29	22	with	with	ADP
ap-7674	29	23	a	a	DET
ap-7674	29	24	full	full	ADJ
ap-7674	29	25	time	time	NOUN
ap-7674	29	26	-	-	PUNCT
ap-7674	29	27	dependent	dependent	ADJ
ap-7674	29	28	potential	potential	NOUN
ap-7674	29	29	from	from	ADP
ap-7674	29	30	a	a	DET
ap-7674	29	31	known	know	VERB
ap-7674	29	32	stationary	stationary	ADJ
ap-7674	29	33	problem	problem	NOUN
ap-7674	29	34	[	[	X
ap-7674	29	35	19	19	NUM
ap-7674	29	36	,	,	PUNCT
ap-7674	29	37	20	20	NUM
ap-7674	29	38	,	,	PUNCT
ap-7674	29	39	24	24	NUM
ap-7674	29	40	]	]	PUNCT
ap-7674	29	41	.	.	PUNCT
ap-7674	30	1	in	in	ADP
ap-7674	30	2	this	this	DET
ap-7674	30	3	section	section	NOUN
ap-7674	30	4	,	,	PUNCT
ap-7674	30	5	we	we	PRON
ap-7674	30	6	use	use	VERB
ap-7674	30	7	a	a	DET
ap-7674	30	8	trans56	trans56	NOUN
ap-7674	30	9	https://doi.org/10.14311/ap.2022.62.0056	https://doi.org/10.14311/ap.2022.62.0056	PROPN
ap-7674	30	10	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-7674	30	11	https://www.cvut.cz/en	https://www.cvut.cz/en	NUM
ap-7674	30	12	vol	vol	NOUN
ap-7674	30	13	.	.	PROPN
ap-7674	31	1	62	62	NUM
ap-7674	31	2	no	no	INTJ
ap-7674	31	3	.	.	PUNCT
ap-7674	32	1	1/2022	1/2022	NUM
ap-7674	32	2	step	step	NOUN
ap-7674	32	3	-	-	PUNCT
ap-7674	32	4	like	like	ADJ
ap-7674	32	5	potential	potential	NOUN
ap-7674	32	6	with	with	ADP
ap-7674	32	7	a	a	DET
ap-7674	32	8	freezable	freezable	ADJ
ap-7674	32	9	bound	bind	VERB
ap-7674	32	10	state	state	NOUN
ap-7674	32	11	in	in	ADP
ap-7674	32	12	the	the	DET
ap-7674	32	13	continuum	continuum	ADJ
ap-7674	32	14	formation	formation	NOUN
ap-7674	32	15	of	of	ADP
ap-7674	32	16	this	this	DET
ap-7674	32	17	kind	kind	NOUN
ap-7674	32	18	in	in	ADP
ap-7674	32	19	combination	combination	NOUN
ap-7674	32	20	with	with	ADP
ap-7674	32	21	a	a	DET
ap-7674	32	22	confluent	confluent	ADJ
ap-7674	32	23	supersymmetry	supersymmetry	NOUN
ap-7674	32	24	transformation	transformation	NOUN
ap-7674	32	25	to	to	PART
ap-7674	32	26	obtain	obtain	VERB
ap-7674	32	27	a	a	DET
ap-7674	32	28	timedependent	timedependent	NOUN
ap-7674	32	29	step	step	NOUN
ap-7674	32	30	-	-	PUNCT
ap-7674	32	31	like	like	ADJ
ap-7674	32	32	potential	potential	NOUN
ap-7674	32	33	from	from	ADP
ap-7674	32	34	the	the	DET
ap-7674	32	35	stationary	stationary	ADJ
ap-7674	32	36	case	case	NOUN
ap-7674	32	37	.	.	PUNCT
ap-7674	33	1	2.1	2.1	NUM
ap-7674	33	2	.	.	PUNCT
ap-7674	33	3	confluent	confluent	ADJ
ap-7674	33	4	supersymmetry	supersymmetry	NOUN
ap-7674	33	5	darboux	darboux	VERB
ap-7674	33	6	transformation	transformation	NOUN
ap-7674	33	7	,	,	PUNCT
ap-7674	33	8	intertwining	intertwine	VERB
ap-7674	33	9	technique	technique	NOUN
ap-7674	33	10	or	or	CCONJ
ap-7674	33	11	supersymmetric	supersymmetric	ADJ
ap-7674	33	12	quantum	quantum	ADJ
ap-7674	33	13	mechanics	mechanic	NOUN
ap-7674	33	14	(	(	PUNCT
ap-7674	33	15	susy	susy	NOUN
ap-7674	33	16	)	)	PUNCT
ap-7674	33	17	is	be	AUX
ap-7674	33	18	a	a	DET
ap-7674	33	19	method	method	NOUN
ap-7674	33	20	to	to	PART
ap-7674	33	21	map	map	VERB
ap-7674	33	22	solutions	solution	NOUN
ap-7674	33	23	ψ	ψ	X
ap-7674	33	24	of	of	ADP
ap-7674	33	25	a	a	DET
ap-7674	33	26	schrödinger	schrödinger	ADJ
ap-7674	33	27	equation	equation	NOUN
ap-7674	33	28	into	into	ADP
ap-7674	33	29	solutions	solution	NOUN
ap-7674	33	30	ψ̄	ψ̄	NOUN
ap-7674	33	31	of	of	ADP
ap-7674	33	32	another	another	DET
ap-7674	33	33	schrödinger	schrödinger	ADJ
ap-7674	33	34	equation	equation	NOUN
ap-7674	33	35	[	[	X
ap-7674	33	36	25–29	25–29	NOUN
ap-7674	33	37	]	]	PUNCT
ap-7674	33	38	.	.	PUNCT
ap-7674	34	1	it	it	PRON
ap-7674	34	2	is	be	AUX
ap-7674	34	3	based	base	VERB
ap-7674	34	4	on	on	ADP
ap-7674	34	5	an	an	DET
ap-7674	34	6	intertwining	intertwine	VERB
ap-7674	34	7	relation	relation	NOUN
ap-7674	34	8	where	where	SCONJ
ap-7674	34	9	two	two	NUM
ap-7674	34	10	hamiltonians	hamiltonian	NOUN
ap-7674	34	11	and	and	CCONJ
ap-7674	34	12	a	a	DET
ap-7674	34	13	proposed	propose	VERB
ap-7674	34	14	operator	operator	NOUN
ap-7674	34	15	l†	l†	PRON
ap-7674	34	16	must	must	AUX
ap-7674	34	17	fulfill	fulfill	VERB
ap-7674	34	18	the	the	DET
ap-7674	34	19	relation	relation	NOUN
ap-7674	34	20	h̄l†	h̄l†	X
ap-7674	34	21	=	=	SYM
ap-7674	34	22	l†h	l†h	PROPN
ap-7674	34	23	,	,	PUNCT
ap-7674	34	24	(	(	PUNCT
ap-7674	34	25	1	1	X
ap-7674	34	26	)	)	PUNCT
ap-7674	34	27	where	where	SCONJ
ap-7674	34	28	h	h	AUX
ap-7674	34	29	=	=	PUNCT
ap-7674	34	30	−	−	PROPN
ap-7674	34	31	d2	d2	PROPN
ap-7674	34	32	dy2	dy2	PROPN
ap-7674	34	33	+	+	CCONJ
ap-7674	34	34	v0(y	v0(y	PROPN
ap-7674	34	35	)	)	PUNCT
ap-7674	34	36	,	,	PUNCT
ap-7674	34	37	h̄	h̄	NOUN
ap-7674	34	38	=	=	SYM
ap-7674	34	39	−	−	PROPN
ap-7674	34	40	d2	d2	PROPN
ap-7674	34	41	dy2	dy2	PROPN
ap-7674	34	42	+	+	CCONJ
ap-7674	34	43	v̄	v̄	PROPN
ap-7674	34	44	(	(	PUNCT
ap-7674	34	45	y	y	NOUN
ap-7674	34	46	)	)	PUNCT
ap-7674	34	47	.	.	PUNCT
ap-7674	35	1	(	(	PUNCT
ap-7674	35	2	2	2	X
ap-7674	35	3	)	)	PUNCT
ap-7674	35	4	the	the	DET
ap-7674	35	5	main	main	ADJ
ap-7674	35	6	ingredient	ingredient	NOUN
ap-7674	35	7	of	of	ADP
ap-7674	35	8	susy	susy	NOUN
ap-7674	35	9	are	be	AUX
ap-7674	35	10	the	the	DET
ap-7674	35	11	seed	seed	NOUN
ap-7674	35	12	solutions	solution	NOUN
ap-7674	35	13	,	,	PUNCT
ap-7674	35	14	which	which	PRON
ap-7674	35	15	correspond	correspond	VERB
ap-7674	35	16	to	to	ADP
ap-7674	35	17	solutions	solution	NOUN
ap-7674	35	18	of	of	ADP
ap-7674	35	19	the	the	DET
ap-7674	35	20	initial	initial	ADJ
ap-7674	35	21	differential	differential	ADJ
ap-7674	35	22	equation	equation	NOUN
ap-7674	35	23	hu	hu	PROPN
ap-7674	36	1	=	=	SYM
ap-7674	36	2	ϵu	ϵu	PROPN
ap-7674	36	3	,	,	PUNCT
ap-7674	36	4	where	where	SCONJ
ap-7674	36	5	ϵ	ϵ	PROPN
ap-7674	36	6	is	be	AUX
ap-7674	36	7	a	a	DET
ap-7674	36	8	real	real	ADV
ap-7674	36	9	constant	constant	ADJ
ap-7674	36	10	called	call	VERB
ap-7674	36	11	factorization	factorization	NOUN
ap-7674	36	12	energy	energy	NOUN
ap-7674	36	13	.	.	PUNCT
ap-7674	37	1	in	in	ADP
ap-7674	37	2	this	this	DET
ap-7674	37	3	work	work	NOUN
ap-7674	37	4	we	we	PRON
ap-7674	37	5	focus	focus	VERB
ap-7674	37	6	on	on	ADP
ap-7674	37	7	the	the	DET
ap-7674	37	8	so	so	ADV
ap-7674	37	9	called	call	VERB
ap-7674	37	10	confluent	confluent	ADJ
ap-7674	37	11	supersymmetry	supersymmetry	NOUN
ap-7674	37	12	,	,	PUNCT
ap-7674	37	13	where	where	SCONJ
ap-7674	37	14	l†	l†	ADJ
ap-7674	37	15	is	be	AUX
ap-7674	37	16	a	a	DET
ap-7674	37	17	secondorder	secondorder	ADJ
ap-7674	37	18	differential	differential	NOUN
ap-7674	37	19	operator	operator	NOUN
ap-7674	37	20	.	.	PUNCT
ap-7674	38	1	once	once	ADV
ap-7674	38	2	a	a	DET
ap-7674	38	3	seed	seed	NOUN
ap-7674	38	4	solution	solution	NOUN
ap-7674	38	5	and	and	CCONJ
ap-7674	38	6	a	a	DET
ap-7674	38	7	factorization	factorization	NOUN
ap-7674	38	8	energy	energy	NOUN
ap-7674	38	9	are	be	AUX
ap-7674	38	10	chosen	choose	VERB
ap-7674	38	11	,	,	PUNCT
ap-7674	38	12	the	the	DET
ap-7674	38	13	next	next	ADJ
ap-7674	38	14	step	step	NOUN
ap-7674	38	15	is	be	AUX
ap-7674	38	16	to	to	PART
ap-7674	38	17	construct	construct	VERB
ap-7674	38	18	the	the	DET
ap-7674	38	19	following	follow	VERB
ap-7674	38	20	auxiliary	auxiliary	ADJ
ap-7674	38	21	function	function	NOUN
ap-7674	38	22	v	v	ADP
ap-7674	38	23	=	=	SYM
ap-7674	38	24	1	1	NUM
ap-7674	38	25	u	u	NOUN
ap-7674	38	26	(	(	PUNCT
ap-7674	38	27	ω	ω	PROPN
ap-7674	38	28	+	+	CCONJ
ap-7674	38	29	∫	∫	PROPN
ap-7674	38	30	u2(y)dz	u2(y)dz	ADV
ap-7674	38	31	)	)	PUNCT
ap-7674	38	32	,	,	PUNCT
ap-7674	38	33	(	(	PUNCT
ap-7674	38	34	3	3	X
ap-7674	38	35	)	)	PUNCT
ap-7674	38	36	where	where	SCONJ
ap-7674	38	37	ω	ω	PROPN
ap-7674	38	38	is	be	AUX
ap-7674	38	39	a	a	DET
ap-7674	38	40	real	real	ADV
ap-7674	38	41	constant	constant	ADJ
ap-7674	38	42	to	to	PART
ap-7674	38	43	be	be	AUX
ap-7674	38	44	fixed	fix	VERB
ap-7674	38	45	.	.	PUNCT
ap-7674	39	1	then	then	ADV
ap-7674	39	2	,	,	PUNCT
ap-7674	39	3	one	one	NUM
ap-7674	39	4	way	way	NOUN
ap-7674	39	5	to	to	PART
ap-7674	39	6	fulfill	fulfill	VERB
ap-7674	39	7	(	(	PUNCT
ap-7674	39	8	1	1	NUM
ap-7674	39	9	)	)	PUNCT
ap-7674	39	10	is	be	AUX
ap-7674	39	11	by	by	ADP
ap-7674	39	12	selecting	select	VERB
ap-7674	39	13	l†	l†	X
ap-7674	39	14	=	=	PUNCT
ap-7674	39	15	(	(	PUNCT
ap-7674	39	16	−	−	PROPN
ap-7674	39	17	d	d	NOUN
ap-7674	39	18	dy	dy	X
ap-7674	39	19	+	+	NOUN
ap-7674	39	20	v′	v′	NOUN
ap-7674	39	21	v	v	NOUN
ap-7674	39	22	)	)	PUNCT
ap-7674	39	23	(	(	PUNCT
ap-7674	39	24	−	−	PROPN
ap-7674	39	25	d	d	NOUN
ap-7674	39	26	dy	dy	NOUN
ap-7674	39	27	+	+	CCONJ
ap-7674	39	28	u′	u′	PROPN
ap-7674	39	29	u	u	NOUN
ap-7674	39	30	)	)	PUNCT
ap-7674	39	31	,	,	PUNCT
ap-7674	39	32	(	(	PUNCT
ap-7674	39	33	4	4	NUM
ap-7674	39	34	)	)	PUNCT
ap-7674	39	35	and	and	CCONJ
ap-7674	39	36	the	the	DET
ap-7674	39	37	potential	potential	ADJ
ap-7674	39	38	term	term	NOUN
ap-7674	39	39	in	in	ADP
ap-7674	39	40	h̄	h̄	NOUN
ap-7674	39	41	as	as	ADP
ap-7674	39	42	v̄	v̄	PROPN
ap-7674	39	43	(	(	PUNCT
ap-7674	39	44	y	y	NOUN
ap-7674	39	45	)	)	PUNCT
ap-7674	39	46	=	=	SYM
ap-7674	39	47	v0(y	v0(y	PROPN
ap-7674	39	48	)	)	PUNCT
ap-7674	39	49	−	−	NOUN
ap-7674	39	50	2	2	NUM
ap-7674	39	51	d	d	SYM
ap-7674	39	52	2	2	NUM
ap-7674	39	53	dy2	dy2	NOUN
ap-7674	39	54	ln	ln	NOUN
ap-7674	40	1	(	(	PUNCT
ap-7674	40	2	ω	ω	PROPN
ap-7674	40	3	+	+	NUM
ap-7674	40	4	∫	∫	PROPN
ap-7674	40	5	y	y	PROPN
ap-7674	40	6	y0	y0	PROPN
ap-7674	40	7	u2dz	u2dz	PUNCT
ap-7674	40	8	)	)	PUNCT
ap-7674	40	9	.	.	PUNCT
ap-7674	41	1	(	(	PUNCT
ap-7674	41	2	5	5	NUM
ap-7674	41	3	)	)	PUNCT
ap-7674	41	4	then	then	ADV
ap-7674	41	5	,	,	PUNCT
ap-7674	41	6	solutions	solution	NOUN
ap-7674	41	7	of	of	ADP
ap-7674	41	8	the	the	DET
ap-7674	41	9	differential	differential	ADJ
ap-7674	41	10	equation	equation	NOUN
ap-7674	41	11	hψ	hψ	NOUN
ap-7674	41	12	=	=	SYM
ap-7674	41	13	eψ	eψ	PROPN
ap-7674	41	14	,	,	PUNCT
ap-7674	41	15	where	where	SCONJ
ap-7674	41	16	e	e	NOUN
ap-7674	41	17	is	be	AUX
ap-7674	41	18	energy	energy	NOUN
ap-7674	41	19	,	,	PUNCT
ap-7674	41	20	can	can	AUX
ap-7674	41	21	be	be	AUX
ap-7674	41	22	mapped	map	VERB
ap-7674	41	23	using	use	VERB
ap-7674	41	24	l†	l†	ADV
ap-7674	41	25	and	and	CCONJ
ap-7674	41	26	the	the	DET
ap-7674	41	27	intertwining	intertwine	VERB
ap-7674	41	28	relation	relation	NOUN
ap-7674	41	29	as	as	SCONJ
ap-7674	41	30	follows	follow	VERB
ap-7674	41	31	:	:	PUNCT
ap-7674	41	32	hψ	hψ	X
ap-7674	41	33	=	=	SYM
ap-7674	41	34	eψ	eψ	PROPN
ap-7674	41	35	,	,	PUNCT
ap-7674	41	36	⇓	⇓	PROPN
ap-7674	41	37	times	time	NOUN
ap-7674	41	38	l†	l†	VERB
ap-7674	41	39	l†hψ	l†hψ	ADV
ap-7674	41	40	=	=	SYM
ap-7674	41	41	el†ψ	el†ψ	NOUN
ap-7674	41	42	,	,	PUNCT
ap-7674	41	43	⇓	⇓	PROPN
ap-7674	41	44	using	use	VERB
ap-7674	41	45	(	(	PUNCT
ap-7674	41	46	1	1	NUM
ap-7674	41	47	)	)	PUNCT
ap-7674	41	48	h̄l†ψ	h̄l†ψ	NOUN
ap-7674	42	1	=	=	SYM
ap-7674	42	2	el†ψ	el†ψ	NOUN
ap-7674	42	3	,	,	PUNCT
ap-7674	42	4	⇓	⇓	PROPN
ap-7674	42	5	defining	define	VERB
ap-7674	42	6	ψ̄	ψ̄	ADJ
ap-7674	42	7	∝	∝	PROPN
ap-7674	42	8	l†ψ	l†ψ	NUM
ap-7674	42	9	h̄ψ̄	h̄ψ̄	NOUN
ap-7674	42	10	=	=	PUNCT
ap-7674	42	11	eψ̄.	eψ̄.	SCONJ
ap-7674	42	12	we	we	PRON
ap-7674	42	13	define	define	VERB
ap-7674	42	14	ψ̄	ψ̄	NOUN
ap-7674	42	15	as	as	ADP
ap-7674	42	16	ψ̄	ψ̄	NOUN
ap-7674	42	17	=	=	SYM
ap-7674	42	18	1	1	NUM
ap-7674	42	19	e	e	NOUN
ap-7674	42	20	−	−	PROPN
ap-7674	42	21	ϵ	ϵ	NOUN
ap-7674	42	22	l†ψ	l†ψ	PROPN
ap-7674	42	23	.	.	PUNCT
ap-7674	43	1	(	(	PUNCT
ap-7674	43	2	6	6	NUM
ap-7674	43	3	)	)	PUNCT
ap-7674	43	4	the	the	DET
ap-7674	43	5	factor	factor	NOUN
ap-7674	43	6	(	(	PUNCT
ap-7674	43	7	e	e	NOUN
ap-7674	43	8	−	−	PROPN
ap-7674	43	9	ϵ)−1	ϵ)−1	NOUN
ap-7674	43	10	is	be	AUX
ap-7674	43	11	introduced	introduce	VERB
ap-7674	43	12	for	for	ADP
ap-7674	43	13	normalization	normalization	NOUN
ap-7674	43	14	purposes	purpose	NOUN
ap-7674	43	15	.	.	PUNCT
ap-7674	44	1	moreover	moreover	ADV
ap-7674	44	2	,	,	PUNCT
ap-7674	44	3	h̄	h̄	NOUN
ap-7674	44	4	could	could	AUX
ap-7674	44	5	have	have	VERB
ap-7674	44	6	an	an	DET
ap-7674	44	7	extra	extra	ADJ
ap-7674	44	8	eigenstate	eigenstate	NOUN
ap-7674	44	9	that	that	PRON
ap-7674	44	10	can	can	AUX
ap-7674	44	11	not	not	PART
ap-7674	44	12	be	be	AUX
ap-7674	44	13	written	write	VERB
ap-7674	44	14	in	in	ADP
ap-7674	44	15	the	the	DET
ap-7674	44	16	form	form	NOUN
ap-7674	44	17	(	(	PUNCT
ap-7674	44	18	6	6	NUM
ap-7674	44	19	)	)	PUNCT
ap-7674	44	20	.	.	PUNCT
ap-7674	45	1	this	this	DET
ap-7674	45	2	state	state	NOUN
ap-7674	45	3	is	be	AUX
ap-7674	45	4	called	call	VERB
ap-7674	45	5	missing	miss	VERB
ap-7674	45	6	state	state	NOUN
ap-7674	45	7	and	and	CCONJ
ap-7674	45	8	plays	play	VERB
ap-7674	45	9	an	an	DET
ap-7674	45	10	important	important	ADJ
ap-7674	45	11	role	role	NOUN
ap-7674	45	12	in	in	ADP
ap-7674	45	13	this	this	DET
ap-7674	45	14	work	work	NOUN
ap-7674	45	15	.	.	PUNCT
ap-7674	46	1	the	the	DET
ap-7674	46	2	missing	miss	VERB
ap-7674	46	3	state	state	NOUN
ap-7674	46	4	is	be	AUX
ap-7674	46	5	obtained	obtain	VERB
ap-7674	46	6	as	as	ADP
ap-7674	46	7	follows	follow	VERB
ap-7674	46	8	:	:	PUNCT
ap-7674	46	9	first	first	ADV
ap-7674	46	10	we	we	PRON
ap-7674	46	11	have	have	AUX
ap-7674	46	12	seen	see	VERB
ap-7674	46	13	that	that	SCONJ
ap-7674	46	14	l†	l†	PROPN
ap-7674	46	15	maps	map	NOUN
ap-7674	46	16	solutions	solution	NOUN
ap-7674	46	17	of	of	ADP
ap-7674	46	18	hψ	hψ	NOUN
ap-7674	46	19	=	=	SYM
ap-7674	46	20	eψ	eψ	PROPN
ap-7674	46	21	into	into	ADP
ap-7674	46	22	solutions	solution	NOUN
ap-7674	46	23	of	of	ADP
ap-7674	46	24	h̄ψ̄	h̄ψ̄	NOUN
ap-7674	46	25	=	=	PUNCT
ap-7674	46	26	eψ̄	eψ̄	NOUN
ap-7674	46	27	,	,	PUNCT
ap-7674	46	28	by	by	ADP
ap-7674	46	29	obtaining	obtain	VERB
ap-7674	46	30	the	the	DET
ap-7674	46	31	adjoint	adjoint	NOUN
ap-7674	46	32	equation	equation	NOUN
ap-7674	46	33	of	of	ADP
ap-7674	46	34	(	(	PUNCT
ap-7674	46	35	1	1	X
ap-7674	46	36	)	)	PUNCT
ap-7674	46	37	hl	hl	NOUN
ap-7674	46	38	=	=	PUNCT
ap-7674	46	39	lh̄	lh̄	PROPN
ap-7674	46	40	,	,	PUNCT
ap-7674	46	41	where	where	SCONJ
ap-7674	46	42	l	l	NOUN
ap-7674	46	43	=	=	SYM
ap-7674	47	1	(	(	PUNCT
ap-7674	47	2	l†)†	l†)†	ADV
ap-7674	47	3	we	we	PRON
ap-7674	47	4	can	can	AUX
ap-7674	47	5	construct	construct	VERB
ap-7674	47	6	the	the	DET
ap-7674	47	7	inverse	inverse	NOUN
ap-7674	47	8	mapping	mapping	NOUN
ap-7674	47	9	,	,	PUNCT
ap-7674	47	10	but	but	CCONJ
ap-7674	47	11	there	there	PRON
ap-7674	47	12	is	be	VERB
ap-7674	47	13	a	a	DET
ap-7674	47	14	solution	solution	NOUN
ap-7674	47	15	ψ̄ϵ	ψ̄ϵ	ADP
ap-7674	47	16	such	such	ADJ
ap-7674	47	17	that	that	PRON
ap-7674	47	18	lψ̄ϵ	lψ̄ϵ	ADJ
ap-7674	48	1	=	=	NOUN
ap-7674	48	2	0	0	X
ap-7674	48	3	.	.	PUNCT
ap-7674	49	1	this	this	DET
ap-7674	49	2	solution	solution	NOUN
ap-7674	49	3	is	be	AUX
ap-7674	49	4	explicitly	explicitly	ADV
ap-7674	49	5	:	:	PUNCT
ap-7674	49	6	ψ̄ϵ	ψ̄ϵ	NOUN
ap-7674	49	7	=	=	PUNCT
ap-7674	49	8	cϵ	cϵ	VERB
ap-7674	49	9	1	1	NUM
ap-7674	49	10	v	v	NOUN
ap-7674	49	11	=	=	PUNCT
ap-7674	49	12	cϵ	cϵ	VERB
ap-7674	49	13	u	u	PROPN
ap-7674	49	14	ω	ω	PROPN
ap-7674	49	15	+	+	CCONJ
ap-7674	49	16	∫	∫	PROPN
ap-7674	49	17	u2(y)dy	u2(y)dy	NOUN
ap-7674	49	18	,	,	PUNCT
ap-7674	49	19	(	(	PUNCT
ap-7674	49	20	7	7	X
ap-7674	49	21	)	)	PUNCT
ap-7674	49	22	where	where	SCONJ
ap-7674	49	23	cϵ	cϵ	NOUN
ap-7674	49	24	is	be	AUX
ap-7674	49	25	a	a	DET
ap-7674	49	26	normalization	normalization	NOUN
ap-7674	49	27	constant	constant	ADJ
ap-7674	49	28	if	if	SCONJ
ap-7674	49	29	ψ̄ϵ	ψ̄ϵ	ADV
ap-7674	49	30	is	be	AUX
ap-7674	49	31	square	square	ADV
ap-7674	49	32	integrable	integrable	ADJ
ap-7674	49	33	.	.	PUNCT
ap-7674	50	1	this	this	DET
ap-7674	50	2	state	state	NOUN
ap-7674	50	3	fulfills	fulfill	VERB
ap-7674	50	4	h̄ψ̄ϵ	h̄ψ̄ϵ	X
ap-7674	51	1	=	=	SYM
ap-7674	52	1	ϵψ̄ϵ.	ϵψ̄ϵ.	PROPN
ap-7674	52	2	notice	notice	VERB
ap-7674	52	3	that	that	SCONJ
ap-7674	52	4	the	the	DET
ap-7674	52	5	selection	selection	NOUN
ap-7674	52	6	of	of	ADP
ap-7674	52	7	u	u	PROPN
ap-7674	52	8	,	,	PUNCT
ap-7674	52	9	ϵ	ϵ	PROPN
ap-7674	52	10	and	and	CCONJ
ap-7674	52	11	ω	ω	PROPN
ap-7674	52	12	is	be	AUX
ap-7674	52	13	very	very	ADV
ap-7674	52	14	relevant	relevant	ADJ
ap-7674	52	15	,	,	PUNCT
ap-7674	52	16	we	we	PRON
ap-7674	52	17	must	must	AUX
ap-7674	52	18	choose	choose	VERB
ap-7674	52	19	these	these	PRON
ap-7674	52	20	carefully	carefully	ADV
ap-7674	52	21	to	to	PART
ap-7674	52	22	avoid	avoid	VERB
ap-7674	52	23	the	the	DET
ap-7674	52	24	introduction	introduction	NOUN
ap-7674	52	25	of	of	ADP
ap-7674	52	26	singularities	singularity	NOUN
ap-7674	52	27	in	in	ADP
ap-7674	52	28	the	the	DET
ap-7674	52	29	potential	potential	ADJ
ap-7674	52	30	v̄	v̄	NOUN
ap-7674	52	31	that	that	PRON
ap-7674	52	32	lead	lead	VERB
ap-7674	52	33	to	to	ADP
ap-7674	52	34	singularities	singularity	NOUN
ap-7674	52	35	also	also	ADV
ap-7674	52	36	in	in	ADP
ap-7674	52	37	ψ̄.	ψ̄.	PRON
ap-7674	52	38	the	the	DET
ap-7674	52	39	function	function	PROPN
ap-7674	52	40	ω	ω	PROPN
ap-7674	53	1	+	+	CCONJ
ap-7674	53	2	∫	∫	PROPN
ap-7674	53	3	u2dy	u2dy	PUNCT
ap-7674	53	4	must	must	AUX
ap-7674	53	5	be	be	AUX
ap-7674	53	6	nodeless	nodeless	ADJ
ap-7674	53	7	.	.	PUNCT
ap-7674	54	1	we	we	PRON
ap-7674	54	2	can	can	AUX
ap-7674	54	3	satisfy	satisfy	VERB
ap-7674	54	4	this	this	PRON
ap-7674	54	5	if	if	SCONJ
ap-7674	54	6	either	either	CCONJ
ap-7674	54	7	limy→∞	limy→∞	PROPN
ap-7674	54	8	u(y	u(y	NUM
ap-7674	54	9	)	)	PUNCT
ap-7674	54	10	=	=	SYM
ap-7674	54	11	0	0	NUM
ap-7674	54	12	or	or	CCONJ
ap-7674	54	13	limy→−∞	limy→−∞	NOUN
ap-7674	54	14	u(y	u(y	NOUN
ap-7674	54	15	)	)	PUNCT
ap-7674	54	16	=	=	SYM
ap-7674	54	17	0	0	PUNCT
ap-7674	55	1	and	and	CCONJ
ap-7674	55	2	if	if	SCONJ
ap-7674	55	3	ω	ω	NOUN
ap-7674	55	4	is	be	AUX
ap-7674	55	5	appropriately	appropriately	ADV
ap-7674	55	6	chosen	choose	VERB
ap-7674	55	7	.	.	PUNCT
ap-7674	56	1	2.2	2.2	NUM
ap-7674	56	2	.	.	PUNCT
ap-7674	57	1	point	point	NOUN
ap-7674	57	2	transformation	transformation	NOUN
ap-7674	57	3	given	give	VERB
ap-7674	57	4	that	that	SCONJ
ap-7674	57	5	we	we	PRON
ap-7674	57	6	know	know	VERB
ap-7674	57	7	the	the	DET
ap-7674	57	8	solution	solution	NOUN
ap-7674	57	9	of	of	ADP
ap-7674	57	10	the	the	DET
ap-7674	57	11	time	time	NOUN
ap-7674	57	12	independent	independent	ADJ
ap-7674	57	13	schrödinger	schrödinger	ADJ
ap-7674	57	14	equation	equation	NOUN
ap-7674	57	15	d2	d2	PROPN
ap-7674	57	16	dy2	dy2	PROPN
ap-7674	57	17	ψ̄(y	ψ̄(y	PROPN
ap-7674	57	18	)	)	PUNCT
ap-7674	58	1	+	+	CCONJ
ap-7674	58	2	[	[	PUNCT
ap-7674	58	3	e	e	X
ap-7674	58	4	−	−	PROPN
ap-7674	58	5	v̄	v̄	PROPN
ap-7674	58	6	(	(	PUNCT
ap-7674	58	7	y	y	NOUN
ap-7674	58	8	)	)	PUNCT
ap-7674	58	9	]	]	PUNCT
ap-7674	58	10	ψ̄(y	ψ̄(y	X
ap-7674	58	11	)	)	PUNCT
ap-7674	58	12	=	=	SYM
ap-7674	58	13	0	0	PUNCT
ap-7674	58	14	(	(	PUNCT
ap-7674	58	15	8)	8)	NUM
ap-7674	58	16	with	with	ADP
ap-7674	58	17	a	a	DET
ap-7674	58	18	potential	potential	NOUN
ap-7674	58	19	defined	define	VERB
ap-7674	58	20	in	in	ADP
ap-7674	58	21	y	y	PROPN
ap-7674	58	22	∈	∈	PROPN
ap-7674	58	23	(	(	PUNCT
ap-7674	58	24	−∞,∞	−∞,∞	NOUN
ap-7674	58	25	)	)	PUNCT
ap-7674	58	26	,	,	PUNCT
ap-7674	58	27	let	let	VERB
ap-7674	58	28	us	we	PRON
ap-7674	58	29	consider	consider	VERB
ap-7674	58	30	the	the	DET
ap-7674	58	31	following	follow	VERB
ap-7674	58	32	change	change	NOUN
ap-7674	58	33	of	of	ADP
ap-7674	58	34	variable	variable	NOUN
ap-7674	58	35	y(x	y(x	PROPN
ap-7674	58	36	,	,	PUNCT
ap-7674	58	37	t	t	PROPN
ap-7674	58	38	)	)	PUNCT
ap-7674	58	39	=	=	PUNCT
ap-7674	59	1	x	x	SYM
ap-7674	59	2	4t+	4t+	NUM
ap-7674	59	3	1	1	NUM
ap-7674	59	4	,	,	PUNCT
ap-7674	59	5	(	(	PUNCT
ap-7674	59	6	9	9	NUM
ap-7674	59	7	)	)	PUNCT
ap-7674	59	8	where	where	SCONJ
ap-7674	59	9	x	x	SYM
ap-7674	59	10	∈	∈	PROPN
ap-7674	59	11	(	(	PUNCT
ap-7674	59	12	−∞,∞	−∞,∞	NOUN
ap-7674	59	13	)	)	PUNCT
ap-7674	59	14	is	be	AUX
ap-7674	59	15	considered	consider	VERB
ap-7674	59	16	as	as	ADP
ap-7674	59	17	a	a	DET
ap-7674	59	18	spatial	spatial	ADJ
ap-7674	59	19	variable	variable	NOUN
ap-7674	59	20	and	and	CCONJ
ap-7674	59	21	t	t	NOUN
ap-7674	59	22	∈	∈	PROPN
ap-7674	60	1	[	[	X
ap-7674	60	2	0,∞	0,∞	NOUN
ap-7674	60	3	)	)	PUNCT
ap-7674	60	4	a	a	DET
ap-7674	60	5	temporal	temporal	ADJ
ap-7674	60	6	one	one	NUM
ap-7674	60	7	.	.	PUNCT
ap-7674	61	1	then	then	ADV
ap-7674	61	2	,	,	PUNCT
ap-7674	61	3	the	the	DET
ap-7674	61	4	wavefunction	wavefunction	NOUN
ap-7674	61	5	ϕ(x	ϕ(x	PROPN
ap-7674	61	6	,	,	PUNCT
ap-7674	61	7	t	t	PROPN
ap-7674	61	8	)	)	PUNCT
ap-7674	61	9	=	=	SYM
ap-7674	61	10	1√	1√	NUM
ap-7674	61	11	4t+	4t+	NUM
ap-7674	61	12	1	1	NUM
ap-7674	61	13	exp	exp	NOUN
ap-7674	61	14	{	{	PUNCT
ap-7674	61	15	i(x2	i(x2	NOUN
ap-7674	61	16	+	+	CCONJ
ap-7674	61	17	e	e	NOUN
ap-7674	61	18	4	4	X
ap-7674	61	19	)	)	PUNCT
ap-7674	61	20	4t+	4t+	NUM
ap-7674	61	21	1	1	NUM
ap-7674	61	22	}	}	PUNCT
ap-7674	61	23	ψ̄	ψ̄	NOUN
ap-7674	61	24	(	(	PUNCT
ap-7674	61	25	x	x	SYM
ap-7674	61	26	4t+	4t+	NUM
ap-7674	61	27	1	1	NUM
ap-7674	61	28	)	)	PUNCT
ap-7674	61	29	,	,	PUNCT
ap-7674	61	30	(	(	PUNCT
ap-7674	61	31	10	10	X
ap-7674	61	32	)	)	PUNCT
ap-7674	61	33	solves	solve	VERB
ap-7674	61	34	the	the	DET
ap-7674	61	35	time	time	NOUN
ap-7674	61	36	-	-	PUNCT
ap-7674	61	37	dependent	dependent	ADJ
ap-7674	61	38	schrödinger	schrödinger	ADJ
ap-7674	61	39	equation	equation	NOUN
ap-7674	61	40	i	i	PRON
ap-7674	61	41	∂	∂	NUM
ap-7674	62	1	∂t	∂t	PROPN
ap-7674	62	2	ϕ(x	ϕ(x	PROPN
ap-7674	62	3	,	,	PUNCT
ap-7674	62	4	t	t	PROPN
ap-7674	62	5	)	)	PUNCT
ap-7674	62	6	+	+	CCONJ
ap-7674	62	7	∂2	∂2	PROPN
ap-7674	62	8	∂x2ϕ(x	∂x2ϕ(x	ADJ
ap-7674	62	9	,	,	PUNCT
ap-7674	62	10	t	t	PROPN
ap-7674	62	11	)	)	PUNCT
ap-7674	62	12	−	−	PROPN
ap-7674	62	13	v	v	X
ap-7674	62	14	(	(	PUNCT
ap-7674	62	15	x	x	NOUN
ap-7674	62	16	,	,	PUNCT
ap-7674	62	17	t)ϕ(x	t)ϕ(x	PROPN
ap-7674	62	18	,	,	PUNCT
ap-7674	62	19	t	t	PROPN
ap-7674	62	20	)	)	PUNCT
ap-7674	62	21	=	=	SYM
ap-7674	62	22	0	0	NUM
ap-7674	62	23	,	,	PUNCT
ap-7674	62	24	(	(	PUNCT
ap-7674	62	25	11	11	NUM
ap-7674	62	26	)	)	PUNCT
ap-7674	62	27	where	where	SCONJ
ap-7674	62	28	the	the	DET
ap-7674	62	29	potential	potential	ADJ
ap-7674	62	30	term	term	NOUN
ap-7674	62	31	is	be	AUX
ap-7674	62	32	v	v	NOUN
ap-7674	62	33	(	(	PUNCT
ap-7674	62	34	x	x	NOUN
ap-7674	62	35	,	,	PUNCT
ap-7674	62	36	t	t	PROPN
ap-7674	62	37	)	)	PUNCT
ap-7674	62	38	=	=	SYM
ap-7674	62	39	1	1	NUM
ap-7674	62	40	(	(	PUNCT
ap-7674	62	41	4t+	4t+	NUM
ap-7674	62	42	1)2	1)2	NUM
ap-7674	62	43	v̄	v̄	NOUN
ap-7674	62	44	(	(	PUNCT
ap-7674	62	45	x	x	SYM
ap-7674	62	46	4t+	4t+	NUM
ap-7674	62	47	1	1	NUM
ap-7674	62	48	)	)	PUNCT
ap-7674	62	49	.	.	PUNCT
ap-7674	63	1	(	(	PUNCT
ap-7674	63	2	12	12	NUM
ap-7674	63	3	)	)	PUNCT
ap-7674	63	4	in	in	ADP
ap-7674	63	5	other	other	ADJ
ap-7674	63	6	words	word	NOUN
ap-7674	63	7	,	,	PUNCT
ap-7674	63	8	the	the	DET
ap-7674	63	9	change	change	NOUN
ap-7674	63	10	of	of	ADP
ap-7674	63	11	variable	variable	NOUN
ap-7674	63	12	(	(	PUNCT
ap-7674	63	13	9	9	NUM
ap-7674	63	14	)	)	PUNCT
ap-7674	63	15	together	together	ADV
ap-7674	63	16	with	with	ADP
ap-7674	63	17	the	the	DET
ap-7674	63	18	replacements	replacement	NOUN
ap-7674	63	19	v̄	v̄	NOUN
ap-7674	63	20	→	→	SYM
ap-7674	63	21	v	v	NOUN
ap-7674	63	22	and	and	CCONJ
ap-7674	63	23	ψ̄	ψ̄	NUM
ap-7674	63	24	→	→	SYM
ap-7674	63	25	ϕ	ϕ	NOUN
ap-7674	63	26	transform	transform	VERB
ap-7674	63	27	a	a	DET
ap-7674	63	28	stationary	stationary	ADJ
ap-7674	63	29	schrödinger	schrödinger	ADJ
ap-7674	63	30	equation	equation	NOUN
ap-7674	63	31	into	into	ADP
ap-7674	63	32	a	a	DET
ap-7674	63	33	time	time	NOUN
ap-7674	63	34	dependent	dependent	ADJ
ap-7674	63	35	solvable	solvable	ADJ
ap-7674	63	36	one	one	NUM
ap-7674	63	37	.	.	PUNCT
ap-7674	64	1	3	3	NUM
ap-7674	64	2	.	.	NOUN
ap-7674	64	3	time	time	NOUN
ap-7674	64	4	dependent	dependent	ADJ
ap-7674	64	5	step	step	NOUN
ap-7674	64	6	-	-	PUNCT
ap-7674	64	7	like	like	ADJ
ap-7674	64	8	potential	potential	NOUN
ap-7674	64	9	with	with	ADP
ap-7674	64	10	a	a	DET
ap-7674	64	11	freezable	freezable	ADJ
ap-7674	64	12	bound	bind	VERB
ap-7674	64	13	state	state	NOUN
ap-7674	64	14	in	in	ADP
ap-7674	64	15	the	the	DET
ap-7674	64	16	continuum	continuum	NOUN
ap-7674	64	17	in	in	ADP
ap-7674	64	18	this	this	DET
ap-7674	64	19	section	section	NOUN
ap-7674	64	20	,	,	PUNCT
ap-7674	64	21	we	we	PRON
ap-7674	64	22	depart	depart	VERB
ap-7674	64	23	from	from	ADP
ap-7674	64	24	the	the	DET
ap-7674	64	25	well	well	ADV
ap-7674	64	26	-	-	PUNCT
ap-7674	64	27	known	know	VERB
ap-7674	64	28	step	step	NOUN
ap-7674	64	29	potential	potential	NOUN
ap-7674	64	30	v	v	ADP
ap-7674	64	31	(	(	PUNCT
ap-7674	64	32	y	y	NOUN
ap-7674	64	33	)	)	PUNCT
ap-7674	64	34	=	=	SYM
ap-7674	64	35	v̂θ(−y	v̂θ(−y	NOUN
ap-7674	64	36	)	)	PUNCT
ap-7674	64	37	as	as	ADP
ap-7674	64	38	time	time	NOUN
ap-7674	64	39	independent	independent	ADJ
ap-7674	64	40	system	system	NOUN
ap-7674	64	41	.	.	PUNCT
ap-7674	65	1	then	then	ADV
ap-7674	65	2	,	,	PUNCT
ap-7674	65	3	using	use	VERB
ap-7674	65	4	confluent	confluent	ADJ
ap-7674	65	5	supersymmetry	supersymmetry	NOUN
ap-7674	65	6	we	we	PRON
ap-7674	65	7	will	will	AUX
ap-7674	65	8	57	57	NUM
ap-7674	65	9	i.	i.	NOUN
ap-7674	65	10	gutiérrez	gutiérrez	PROPN
ap-7674	65	11	,	,	PUNCT
ap-7674	65	12	a.	a.	PROPN
ap-7674	65	13	contreras	contreras	PROPN
ap-7674	65	14	-	-	PUNCT
ap-7674	65	15	astorga	astorga	PROPN
ap-7674	65	16	,	,	PUNCT
ap-7674	65	17	a.	a.	PROPN
ap-7674	65	18	raya	raya	PROPN
ap-7674	65	19	acta	acta	PROPN
ap-7674	65	20	polytechnica	polytechnica	PROPN
ap-7674	65	21	add	add	VERB
ap-7674	65	22	a	a	DET
ap-7674	65	23	single	single	ADJ
ap-7674	65	24	bic	bic	NOUN
ap-7674	65	25	.	.	PUNCT
ap-7674	66	1	furthermore	furthermore	ADV
ap-7674	66	2	,	,	PUNCT
ap-7674	66	3	with	with	SCONJ
ap-7674	66	4	the	the	DET
ap-7674	66	5	point	point	NOUN
ap-7674	66	6	transformation	transformation	NOUN
ap-7674	66	7	previously	previously	ADV
ap-7674	66	8	introduced	introduce	VERB
ap-7674	66	9	we	we	PRON
ap-7674	66	10	transform	transform	VERB
ap-7674	66	11	the	the	DET
ap-7674	66	12	stationary	stationary	ADJ
ap-7674	66	13	system	system	NOUN
ap-7674	66	14	into	into	ADP
ap-7674	66	15	a	a	DET
ap-7674	66	16	time	time	NOUN
ap-7674	66	17	-	-	PUNCT
ap-7674	66	18	dependent	dependent	ADJ
ap-7674	66	19	system	system	NOUN
ap-7674	66	20	with	with	ADP
ap-7674	66	21	an	an	DET
ap-7674	66	22	explicitly	explicitly	ADV
ap-7674	66	23	time	time	NOUN
ap-7674	66	24	-	-	PUNCT
ap-7674	66	25	dependent	dependent	ADJ
ap-7674	66	26	potential	potential	NOUN
ap-7674	66	27	.	.	PUNCT
ap-7674	67	1	we	we	PRON
ap-7674	67	2	will	will	AUX
ap-7674	67	3	choose	choose	VERB
ap-7674	67	4	a	a	DET
ap-7674	67	5	stopping	stopping	NOUN
ap-7674	67	6	time	time	NOUN
ap-7674	67	7	or	or	CCONJ
ap-7674	67	8	freezing	freezing	NOUN
ap-7674	67	9	time	time	NOUN
ap-7674	67	10	ti	ti	NOUN
ap-7674	67	11	after	after	ADP
ap-7674	67	12	which	which	PRON
ap-7674	67	13	the	the	DET
ap-7674	67	14	potential	potential	NOUN
ap-7674	67	15	no	no	ADV
ap-7674	67	16	longer	long	ADV
ap-7674	67	17	evolves	evolve	VERB
ap-7674	67	18	:	:	PUNCT
ap-7674	67	19	vf	vf	X
ap-7674	67	20	(	(	PUNCT
ap-7674	67	21	x	x	PROPN
ap-7674	67	22	,	,	PUNCT
ap-7674	67	23	t	t	PROPN
ap-7674	67	24	)	)	PUNCT
ap-7674	67	25	=	=	PRON
ap-7674	67	26	{	{	PUNCT
ap-7674	67	27	v	v	NOUN
ap-7674	67	28	(	(	PUNCT
ap-7674	67	29	x	x	NOUN
ap-7674	67	30	,	,	PUNCT
ap-7674	67	31	t	t	PROPN
ap-7674	67	32	)	)	PUNCT
ap-7674	67	33	0	0	NUM
ap-7674	68	1	≤	≤	PROPN
ap-7674	68	2	t	t	X
ap-7674	68	3	<	<	X
ap-7674	68	4	ti	ti	PROPN
ap-7674	68	5	,	,	PUNCT
ap-7674	68	6	v	v	NOUN
ap-7674	68	7	(	(	PUNCT
ap-7674	68	8	x	x	NOUN
ap-7674	68	9	,	,	PUNCT
ap-7674	68	10	ti	ti	NOUN
ap-7674	68	11	)	)	PUNCT
ap-7674	68	12	t	t	PROPN
ap-7674	68	13	≥	≥	NOUN
ap-7674	68	14	ti	ti	X
ap-7674	68	15	.	.	PUNCT
ap-7674	68	16	(	(	PUNCT
ap-7674	68	17	13	13	NUM
ap-7674	68	18	)	)	PUNCT
ap-7674	68	19	finally	finally	ADV
ap-7674	68	20	,	,	PUNCT
ap-7674	68	21	the	the	DET
ap-7674	68	22	solutions	solution	NOUN
ap-7674	68	23	of	of	ADP
ap-7674	68	24	the	the	DET
ap-7674	68	25	schrödinger	schrödinger	ADJ
ap-7674	68	26	equation	equation	NOUN
ap-7674	68	27	will	will	AUX
ap-7674	68	28	be	be	AUX
ap-7674	68	29	presented	present	VERB
ap-7674	68	30	.	.	PUNCT
ap-7674	69	1	let	let	VERB
ap-7674	69	2	us	we	PRON
ap-7674	69	3	commence	commence	VERB
ap-7674	69	4	our	our	PRON
ap-7674	69	5	discussion	discussion	NOUN
ap-7674	69	6	by	by	ADP
ap-7674	69	7	considering	consider	VERB
ap-7674	69	8	the	the	DET
ap-7674	69	9	step	step	NOUN
ap-7674	69	10	-	-	PUNCT
ap-7674	69	11	potential	potential	ADJ
ap-7674	69	12	v0(y	v0(y	X
ap-7674	69	13	)	)	PUNCT
ap-7674	69	14	=	=	NOUN
ap-7674	69	15	{	{	PUNCT
ap-7674	69	16	v̂	v̂	VERB
ap-7674	69	17	y	y	PROPN
ap-7674	69	18	≤	≤	NUM
ap-7674	69	19	0	0	NUM
ap-7674	69	20	,	,	PUNCT
ap-7674	69	21	0	0	NUM
ap-7674	69	22	y	y	PROPN
ap-7674	69	23	>	>	X
ap-7674	69	24	0	0	NUM
ap-7674	69	25	,	,	PUNCT
ap-7674	69	26	(	(	PUNCT
ap-7674	69	27	14	14	NUM
ap-7674	69	28	)	)	PUNCT
ap-7674	69	29	defined	define	VERB
ap-7674	69	30	along	along	ADP
ap-7674	69	31	the	the	DET
ap-7674	69	32	axis	axis	NOUN
ap-7674	69	33	y	y	PROPN
ap-7674	69	34	∈	∈	PROPN
ap-7674	69	35	(	(	PUNCT
ap-7674	69	36	−∞,∞	−∞,∞	NOUN
ap-7674	69	37	)	)	PUNCT
ap-7674	69	38	and	and	CCONJ
ap-7674	69	39	v̂	v̂	PRON
ap-7674	69	40	is	be	AUX
ap-7674	69	41	a	a	DET
ap-7674	69	42	positive	positive	ADJ
ap-7674	69	43	constant	constant	NOUN
ap-7674	69	44	.	.	PUNCT
ap-7674	70	1	the	the	DET
ap-7674	70	2	solutions	solution	NOUN
ap-7674	70	3	of	of	ADP
ap-7674	70	4	this	this	DET
ap-7674	70	5	system	system	NOUN
ap-7674	70	6	are	be	AUX
ap-7674	70	7	well	well	ADV
ap-7674	70	8	known	know	VERB
ap-7674	70	9	in	in	ADP
ap-7674	70	10	the	the	DET
ap-7674	70	11	literature	literature	NOUN
ap-7674	70	12	(	(	PUNCT
ap-7674	70	13	see	see	VERB
ap-7674	70	14	[	[	X
ap-7674	70	15	30	30	NUM
ap-7674	70	16	,	,	PUNCT
ap-7674	70	17	31	31	NUM
ap-7674	70	18	]	]	PUNCT
ap-7674	70	19	)	)	PUNCT
ap-7674	70	20	.	.	PUNCT
ap-7674	71	1	restricting	restrict	VERB
ap-7674	71	2	ourselves	ourselves	PRON
ap-7674	71	3	to	to	ADP
ap-7674	71	4	the	the	DET
ap-7674	71	5	case	case	NOUN
ap-7674	71	6	0	0	PUNCT
ap-7674	71	7	<	<	X
ap-7674	71	8	eq	eq	X
ap-7674	71	9	<	<	X
ap-7674	71	10	v̂	v̂	PRON
ap-7674	71	11	,	,	PUNCT
ap-7674	71	12	the	the	DET
ap-7674	71	13	solutions	solution	NOUN
ap-7674	71	14	are	be	AUX
ap-7674	71	15	:	:	PUNCT
ap-7674	71	16	ψ(y	ψ(y	NUM
ap-7674	71	17	)	)	PUNCT
ap-7674	72	1	=	=	PRON
ap-7674	72	2	{	{	PUNCT
ap-7674	72	3	exp(ρy	exp(ρy	PROPN
ap-7674	72	4	)	)	PUNCT
ap-7674	72	5	y	y	PROPN
ap-7674	72	6	≤	≤	PROPN
ap-7674	72	7	0	0	NUM
ap-7674	72	8	,	,	PUNCT
ap-7674	72	9	cos(qy	cos(qy	NOUN
ap-7674	72	10	)	)	PUNCT
ap-7674	73	1	+	+	CCONJ
ap-7674	73	2	κ	κ	X
ap-7674	73	3	k	k	X
ap-7674	73	4	sin(qy	sin(qy	PROPN
ap-7674	73	5	)	)	PUNCT
ap-7674	74	1	y	y	PROPN
ap-7674	74	2	>	>	X
ap-7674	74	3	0	0	NUM
ap-7674	74	4	,	,	PUNCT
ap-7674	74	5	(	(	PUNCT
ap-7674	74	6	15	15	NUM
ap-7674	74	7	)	)	PUNCT
ap-7674	74	8	with	with	ADP
ap-7674	74	9	energy	energy	NOUN
ap-7674	74	10	eq	eq	NOUN
ap-7674	74	11	=	=	PROPN
ap-7674	74	12	q2	q2	PROPN
ap-7674	74	13	and	and	CCONJ
ap-7674	74	14	ρ	ρ	PROPN
ap-7674	74	15	=	=	PROPN
ap-7674	74	16	√	√	PROPN
ap-7674	74	17	v̂	v̂	NUM
ap-7674	74	18	−	−	NOUN
ap-7674	74	19	eq	eq	NOUN
ap-7674	74	20	.	.	PROPN
ap-7674	75	1	next	next	ADV
ap-7674	75	2	,	,	PUNCT
ap-7674	75	3	to	to	PART
ap-7674	75	4	perform	perform	VERB
ap-7674	75	5	the	the	DET
ap-7674	75	6	confluent	confluent	ADJ
ap-7674	75	7	supersymmetric	supersymmetric	ADJ
ap-7674	75	8	transformation	transformation	NOUN
ap-7674	75	9	we	we	PRON
ap-7674	75	10	choose	choose	VERB
ap-7674	75	11	a	a	DET
ap-7674	75	12	factorization	factorization	NOUN
ap-7674	75	13	energy	energy	NOUN
ap-7674	75	14	such	such	ADJ
ap-7674	75	15	that	that	DET
ap-7674	75	16	0	0	NUM
ap-7674	75	17	<	<	X
ap-7674	75	18	ϵ	ϵ	X
ap-7674	75	19	<	<	X
ap-7674	75	20	v̂	v̂	NOUN
ap-7674	75	21	and	and	CCONJ
ap-7674	75	22	the	the	DET
ap-7674	75	23	corresponding	corresponding	ADJ
ap-7674	75	24	seed	seed	NOUN
ap-7674	75	25	solution	solution	NOUN
ap-7674	75	26	u(y	u(y	NOUN
ap-7674	75	27	)	)	PUNCT
ap-7674	75	28	as	as	ADP
ap-7674	75	29	u(y	u(y	NOUN
ap-7674	75	30	)	)	PUNCT
ap-7674	75	31	=	=	SYM
ap-7674	75	32	{	{	PUNCT
ap-7674	75	33	exp(κy	exp(κy	NOUN
ap-7674	75	34	)	)	PUNCT
ap-7674	75	35	y	y	PROPN
ap-7674	75	36	≤	≤	PROPN
ap-7674	75	37	0	0	NUM
ap-7674	75	38	,	,	PUNCT
ap-7674	75	39	cos(ky	cos(ky	NOUN
ap-7674	75	40	)	)	PUNCT
ap-7674	76	1	+	+	NUM
ap-7674	76	2	κ	κ	X
ap-7674	76	3	k	k	X
ap-7674	76	4	sin(ky	sin(ky	NOUN
ap-7674	76	5	)	)	PUNCT
ap-7674	76	6	y	y	PROPN
ap-7674	76	7	>	>	X
ap-7674	76	8	0	0	NUM
ap-7674	76	9	,	,	PUNCT
ap-7674	76	10	(	(	PUNCT
ap-7674	76	11	16	16	NUM
ap-7674	76	12	)	)	PUNCT
ap-7674	76	13	with	with	ADP
ap-7674	76	14	k2	k2	PROPN
ap-7674	76	15	=	=	SYM
ap-7674	76	16	ϵ	ϵ	PROPN
ap-7674	76	17	and	and	CCONJ
ap-7674	76	18	κ2	κ2	NOUN
ap-7674	76	19	=	=	SYM
ap-7674	76	20	v̂	v̂	ADP
ap-7674	76	21	−	−	PROPN
ap-7674	76	22	ϵ.	ϵ.	NOUN
ap-7674	76	23	note	note	NOUN
ap-7674	76	24	that	that	SCONJ
ap-7674	76	25	u(y	u(y	NOUN
ap-7674	76	26	)	)	PUNCT
ap-7674	76	27	→	→	SYM
ap-7674	76	28	0	0	NUM
ap-7674	76	29	when	when	SCONJ
ap-7674	76	30	y	y	PROPN
ap-7674	76	31	→	→	SYM
ap-7674	76	32	−∞.	−∞.	PROPN
ap-7674	76	33	then	then	ADV
ap-7674	76	34	,	,	PUNCT
ap-7674	76	35	from	from	ADP
ap-7674	76	36	(	(	PUNCT
ap-7674	76	37	5	5	X
ap-7674	76	38	)	)	PUNCT
ap-7674	76	39	we	we	PRON
ap-7674	76	40	obtain	obtain	VERB
ap-7674	76	41	explicitly	explicitly	ADV
ap-7674	76	42	the	the	DET
ap-7674	76	43	susy	susy	NOUN
ap-7674	76	44	partner	partner	PROPN
ap-7674	76	45	v̄	v̄	PROPN
ap-7674	76	46	:	:	PUNCT
ap-7674	76	47	v̄	v̄	PROPN
ap-7674	76	48	(	(	PUNCT
ap-7674	76	49	y	y	NOUN
ap-7674	76	50	)	)	PUNCT
ap-7674	77	1	=	=	PUNCT
ap-7674	77	2	v̂	v̂	ADP
ap-7674	77	3	−	−	PROPN
ap-7674	77	4	16	16	NUM
ap-7674	78	1	exp(2κy)κ3ω	exp(2κy)κ3ω	NOUN
ap-7674	78	2	(	(	PUNCT
ap-7674	78	3	exp(2κy)+2κω)2	exp(2κy)+2κω)2	NOUN
ap-7674	78	4	y	y	NOUN
ap-7674	78	5	≤	≤	NUM
ap-7674	78	6	0	0	NUM
ap-7674	79	1	32k2	32k2	NUM
ap-7674	79	2	(	(	PUNCT
ap-7674	79	3	k	k	X
ap-7674	79	4	cos(ky	cos(ky	PROPN
ap-7674	79	5	)	)	PUNCT
ap-7674	80	1	+	+	NUM
ap-7674	80	2	κ	κ	PRON
ap-7674	80	3	sin(ky	sin(ky	NOUN
ap-7674	80	4	)	)	PUNCT
ap-7674	80	5	ṽ(y	ṽ(y	ADJ
ap-7674	80	6	)	)	PUNCT
ap-7674	80	7	v̂(y	v̂(y	NOUN
ap-7674	80	8	)	)	PUNCT
ap-7674	80	9	)	)	PUNCT
ap-7674	81	1	y	y	PROPN
ap-7674	81	2	>	>	X
ap-7674	81	3	0	0	NUM
ap-7674	81	4	,	,	PUNCT
ap-7674	81	5	(	(	PUNCT
ap-7674	81	6	17	17	NUM
ap-7674	81	7	)	)	PUNCT
ap-7674	81	8	where	where	SCONJ
ap-7674	81	9	the	the	DET
ap-7674	81	10	functions	function	NOUN
ap-7674	81	11	ṽ(y	ṽ(y	ADJ
ap-7674	81	12	)	)	PUNCT
ap-7674	81	13	and	and	CCONJ
ap-7674	81	14	v̂(y	v̂(y	NOUN
ap-7674	81	15	)	)	PUNCT
ap-7674	81	16	are	be	AUX
ap-7674	81	17	ṽ(y	ṽ(y	ADJ
ap-7674	81	18	)	)	PUNCT
ap-7674	82	1	=	=	PUNCT
ap-7674	82	2	[	[	PUNCT
ap-7674	82	3	(	(	PUNCT
ap-7674	82	4	k2	k2	X
ap-7674	82	5	+	+	CCONJ
ap-7674	82	6	κ2)(k2x+	κ2)(k2x+	PROPN
ap-7674	82	7	κ	κ	NOUN
ap-7674	82	8	)	)	PUNCT
ap-7674	82	9	+	+	CCONJ
ap-7674	82	10	2k4ω	2k4ω	X
ap-7674	82	11	]	]	SYM
ap-7674	82	12	sin(ky	sin(ky	NOUN
ap-7674	82	13	)	)	PUNCT
ap-7674	82	14	−	−	PROPN
ap-7674	83	1	k	k	NOUN
ap-7674	83	2	[	[	PUNCT
ap-7674	83	3	(	(	PUNCT
ap-7674	83	4	k2	k2	ADJ
ap-7674	83	5	+	+	CCONJ
ap-7674	83	6	κ2)(κy	κ2)(κy	NOUN
ap-7674	83	7	+	+	CCONJ
ap-7674	83	8	1	1	NUM
ap-7674	83	9	)	)	PUNCT
ap-7674	83	10	+	+	CCONJ
ap-7674	83	11	2k2κω	2k2κω	NUM
ap-7674	83	12	]	]	PUNCT
ap-7674	83	13	,	,	PUNCT
ap-7674	83	14	v̂(y	v̂(y	NOUN
ap-7674	83	15	)	)	PUNCT
ap-7674	83	16	=	=	NOUN
ap-7674	83	17	[	[	PUNCT
ap-7674	83	18	2ky(k2	2ky(k2	NUM
ap-7674	83	19	+	+	NUM
ap-7674	83	20	κ2	κ2	NOUN
ap-7674	83	21	)	)	PUNCT
ap-7674	84	1	+	+	CCONJ
ap-7674	84	2	4k3ω	4k3ω	NUM
ap-7674	84	3	−	−	ADP
ap-7674	84	4	2kκ	2kκ	NOUN
ap-7674	84	5	cos(2ky	cos(2ky	CCONJ
ap-7674	84	6	)	)	PUNCT
ap-7674	84	7	+	+	ADJ
ap-7674	84	8	(	(	PUNCT
ap-7674	84	9	k2	k2	ADJ
ap-7674	84	10	−	−	PROPN
ap-7674	84	11	κ2	κ2	PROPN
ap-7674	84	12	)	)	PUNCT
ap-7674	84	13	sin(2ky	sin(2ky	NUM
ap-7674	84	14	)	)	PUNCT
ap-7674	84	15	]	]	PUNCT
ap-7674	84	16	2	2	X
ap-7674	84	17	.	.	PUNCT
ap-7674	85	1	we	we	PRON
ap-7674	85	2	can	can	AUX
ap-7674	85	3	calculate	calculate	VERB
ap-7674	85	4	directly	directly	ADV
ap-7674	85	5	from	from	ADP
ap-7674	85	6	(	(	PUNCT
ap-7674	85	7	7	7	X
ap-7674	85	8	)	)	PUNCT
ap-7674	85	9	the	the	DET
ap-7674	85	10	missing	miss	VERB
ap-7674	85	11	state	state	NOUN
ap-7674	85	12	associated	associate	VERB
ap-7674	85	13	to	to	ADP
ap-7674	85	14	the	the	DET
ap-7674	85	15	factorization	factorization	NOUN
ap-7674	85	16	energy	energy	NOUN
ap-7674	85	17	ϵ	ϵ	NOUN
ap-7674	85	18	:	:	PUNCT
ap-7674	85	19	ψ̄ϵ(y	ψ̄ϵ(y	NOUN
ap-7674	85	20	)	)	PUNCT
ap-7674	85	21	=	=	PRON
ap-7674	85	22	cϵ	cϵ	VERB
ap-7674	85	23			PUNCT
ap-7674	85	24	2κ	2κ	NOUN
ap-7674	85	25	exp(κy	exp(κy	NOUN
ap-7674	85	26	)	)	PUNCT
ap-7674	85	27	2κω+exp(2κy	2κω+exp(2κy	X
ap-7674	85	28	)	)	PUNCT
ap-7674	85	29	y	y	PROPN
ap-7674	85	30	≤	≤	PROPN
ap-7674	85	31	0	0	NUM
ap-7674	85	32	,	,	PUNCT
ap-7674	85	33	4k3(cos(ky)+	4k3(cos(ky)+	NUM
ap-7674	85	34	κ	κ	X
ap-7674	85	35	k	k	NOUN
ap-7674	85	36	sin(ky	sin(ky	NOUN
ap-7674	85	37	)	)	PUNCT
ap-7674	85	38	)	)	PUNCT
ap-7674	85	39	ψ̂ϵ(y	ψ̂ϵ(y	NUM
ap-7674	85	40	)	)	PUNCT
ap-7674	86	1	y	y	PROPN
ap-7674	86	2	>	>	X
ap-7674	86	3	0	0	NUM
ap-7674	86	4	,	,	PUNCT
ap-7674	86	5	(	(	PUNCT
ap-7674	86	6	18	18	NUM
ap-7674	86	7	)	)	PUNCT
ap-7674	86	8	where	where	SCONJ
ap-7674	86	9	ψ̂ϵ(y	ψ̂ϵ(y	NOUN
ap-7674	86	10	)	)	PUNCT
ap-7674	87	1	=	=	PUNCT
ap-7674	87	2	(	(	PUNCT
ap-7674	87	3	k2	k2	PROPN
ap-7674	87	4	−	−	PROPN
ap-7674	87	5	κ2	κ2	PROPN
ap-7674	87	6	)	)	PUNCT
ap-7674	87	7	sin(2ky	sin(2ky	NUM
ap-7674	87	8	)	)	PUNCT
ap-7674	87	9	−	−	PROPN
ap-7674	87	10	2κk	2κk	NOUN
ap-7674	87	11	cos(2ky	cos(2ky	NUM
ap-7674	87	12	)	)	PUNCT
ap-7674	87	13	+	+	NUM
ap-7674	87	14	4ωk3	4ωk3	NUM
ap-7674	88	1	+	+	CCONJ
ap-7674	88	2	2ky	2ky	NOUN
ap-7674	88	3	(	(	PUNCT
ap-7674	88	4	κ2	κ2	NOUN
ap-7674	88	5	+	+	CCONJ
ap-7674	88	6	k2	k2	ADJ
ap-7674	88	7	)	)	PUNCT
ap-7674	88	8	.	.	PUNCT
ap-7674	89	1	�	�	PROPN
ap-7674	89	2	�	�	PROPN
ap-7674	89	3	�	�	PROPN
ap-7674	89	4	�	�	PROPN
ap-7674	89	5			NOUN
ap-7674	89	6	�	�	NOUN
ap-7674	89	7	�	�	PROPN
ap-7674	89	8	0	0	NUM
ap-7674	89	9	5	5	NUM
ap-7674	89	10	10	10	NUM
ap-7674	89	11	15	15	NUM
ap-7674	89	12	20	20	NUM
ap-7674	89	13	0.00	0.00	NUM
ap-7674	89	14	0.02	0.02	NUM
ap-7674	89	15	0.04	0.04	NUM
ap-7674	89	16	0.06	0.06	NUM
ap-7674	89	17	0.08	0.08	NUM
ap-7674	89	18	0.10	0.10	NUM
ap-7674	89	19	0.12	0.12	NUM
ap-7674	89	20	y	y	PROPN
ap-7674	89	21	|ψ	|ψ	X
ap-7674	89	22	(	(	PUNCT
ap-7674	89	23	y	y	PROPN
ap-7674	89	24	)	)	PUNCT
ap-7674	89	25	2	2	NUM
ap-7674	89	26	|	|	ADV
ap-7674	89	27	ψϵ	ψϵ	VERB
ap-7674	89	28	(	(	PUNCT
ap-7674	89	29	y	y	NOUN
ap-7674	89	30	)	)	PUNCT
ap-7674	89	31	2	2	NUM
ap-7674	89	32	fit	fit	NOUN
ap-7674	89	33	|a(y	|a(y	PROPN
ap-7674	89	34	)	)	PUNCT
ap-7674	89	35	2	2	NUM
ap-7674	89	36	figure	figure	NOUN
ap-7674	89	37	1	1	NUM
ap-7674	89	38	.	.	PUNCT
ap-7674	89	39	|ψ̄ϵ(y)|2	|ψ̄ϵ(y)|2	PROPN
ap-7674	89	40	and	and	CCONJ
ap-7674	89	41	an	an	DET
ap-7674	89	42	envelop	envelop	NOUN
ap-7674	89	43	function	function	NOUN
ap-7674	89	44	of	of	ADP
ap-7674	89	45	the	the	DET
ap-7674	89	46	form	form	NOUN
ap-7674	89	47	a(y	a(y	PROPN
ap-7674	89	48	)	)	PUNCT
ap-7674	89	49	=	=	PUNCT
ap-7674	89	50	a	a	DET
ap-7674	89	51	b+y	b+y	NOUN
ap-7674	89	52	,	,	PUNCT
ap-7674	89	53	with	with	ADP
ap-7674	89	54	a	a	DET
ap-7674	89	55	=	=	SYM
ap-7674	89	56	2k(κ2	2k(κ2	PROPN
ap-7674	90	1	+	+	CCONJ
ap-7674	90	2	k2)−1/2	k2)−1/2	PROPN
ap-7674	90	3	,	,	PUNCT
ap-7674	90	4	b	b	NOUN
ap-7674	90	5	=	=	SYM
ap-7674	90	6	2ωk2(κ2	2ωk2(κ2	ADJ
ap-7674	90	7	+	+	NUM
ap-7674	90	8	k2)−1	k2)−1	NOUN
ap-7674	90	9	.	.	PUNCT
ap-7674	91	1	the	the	DET
ap-7674	91	2	scale	scale	NOUN
ap-7674	91	3	of	of	ADP
ap-7674	91	4	the	the	DET
ap-7674	91	5	graph	graph	NOUN
ap-7674	91	6	is	be	AUX
ap-7674	91	7	fixed	fix	VERB
ap-7674	91	8	with	with	ADP
ap-7674	91	9	v̂	v̂	NOUN
ap-7674	91	10	=	=	SYM
ap-7674	91	11	5	5	NUM
ap-7674	91	12	,	,	PUNCT
ap-7674	91	13	k	k	NOUN
ap-7674	91	14	=	=	SYM
ap-7674	91	15	1	1	NUM
ap-7674	91	16	,	,	PUNCT
ap-7674	91	17	κ	κ	X
ap-7674	91	18	=	=	SYM
ap-7674	91	19	2	2	NUM
ap-7674	91	20	and	and	CCONJ
ap-7674	91	21	cϵ	cϵ	VERB
ap-7674	91	22	=	=	SYM
ap-7674	91	23	1	1	NUM
ap-7674	91	24	,	,	PUNCT
ap-7674	91	25	in	in	ADP
ap-7674	91	26	the	the	DET
ap-7674	91	27	appropriate	appropriate	ADJ
ap-7674	91	28	units	unit	NOUN
ap-7674	91	29	.	.	PUNCT
ap-7674	92	1	in	in	ADP
ap-7674	92	2	order	order	NOUN
ap-7674	92	3	to	to	PART
ap-7674	92	4	confirm	confirm	VERB
ap-7674	92	5	that	that	SCONJ
ap-7674	92	6	ψ̄ϵ	ψ̄ϵ	PROPN
ap-7674	92	7	is	be	AUX
ap-7674	92	8	square	square	ADV
ap-7674	92	9	integrable	integrable	ADJ
ap-7674	92	10	,	,	PUNCT
ap-7674	92	11	we	we	PRON
ap-7674	92	12	proceed	proceed	VERB
ap-7674	92	13	in	in	ADP
ap-7674	92	14	the	the	DET
ap-7674	92	15	following	following	ADJ
ap-7674	92	16	way	way	NOUN
ap-7674	92	17	.	.	PUNCT
ap-7674	93	1	first	first	ADV
ap-7674	93	2	,	,	PUNCT
ap-7674	93	3	we	we	PRON
ap-7674	93	4	separate	separate	VERB
ap-7674	93	5	the	the	DET
ap-7674	93	6	integral	integral	ADJ
ap-7674	93	7	||ψ̄ϵ||2	||ψ̄ϵ||2	PROPN
ap-7674	93	8	=	=	SYM
ap-7674	93	9	∫	∫	PROPN
ap-7674	93	10	∞	∞	PROPN
ap-7674	93	11	−∞	−∞	X
ap-7674	93	12	|ψ̄ϵ|2dy	|ψ̄ϵ|2dy	NOUN
ap-7674	93	13	=	=	SYM
ap-7674	93	14	∫	∫	PROPN
ap-7674	93	15	0	0	NUM
ap-7674	94	1	−∞	−∞	X
ap-7674	94	2	|ψ̄ϵ|2dy	|ψ̄ϵ|2dy	PROPN
ap-7674	95	1	+	+	NOUN
ap-7674	95	2	∫	∫	PROPN
ap-7674	95	3	∞	∞	PROPN
ap-7674	95	4	0	0	NUM
ap-7674	95	5	|ψ̄ϵ|2dy	|ψ̄ϵ|2dy	NUM
ap-7674	95	6	.	.	PUNCT
ap-7674	96	1	the	the	DET
ap-7674	96	2	first	first	ADJ
ap-7674	96	3	integral	integral	NOUN
ap-7674	96	4	can	can	AUX
ap-7674	96	5	be	be	AUX
ap-7674	96	6	directly	directly	ADV
ap-7674	96	7	calculated:∫	calculated:∫	ADJ
ap-7674	96	8	0	0	NUM
ap-7674	97	1	−∞	−∞	X
ap-7674	97	2	|ψ̄ϵ|2dy	|ψ̄ϵ|2dy	NOUN
ap-7674	97	3	=	=	SYM
ap-7674	97	4	|cϵ|2	|cϵ|2	PROPN
ap-7674	97	5	√	√	ADV
ap-7674	97	6	2	2	NUM
ap-7674	97	7	κω	κω	PRON
ap-7674	97	8	tan−1	tan−1	PROPN
ap-7674	97	9	(	(	PUNCT
ap-7674	97	10	1√	1√	PROPN
ap-7674	97	11	2κω	2κω	NOUN
ap-7674	97	12	)	)	PUNCT
ap-7674	97	13	.	.	PUNCT
ap-7674	98	1	for	for	ADP
ap-7674	98	2	the	the	DET
ap-7674	98	3	second	second	ADJ
ap-7674	98	4	integral	integral	ADJ
ap-7674	98	5	,	,	PUNCT
ap-7674	98	6	we	we	PRON
ap-7674	98	7	can	can	AUX
ap-7674	98	8	show	show	VERB
ap-7674	98	9	that	that	SCONJ
ap-7674	98	10	it	it	PRON
ap-7674	98	11	is	be	AUX
ap-7674	98	12	bounded	bound	VERB
ap-7674	98	13	by	by	ADP
ap-7674	98	14	a	a	DET
ap-7674	98	15	square	square	ADJ
ap-7674	98	16	integrable	integrable	ADJ
ap-7674	98	17	function:∫	function:∫	PROPN
ap-7674	98	18	∞	∞	PROPN
ap-7674	98	19	0	0	NUM
ap-7674	98	20	|ψ̄ϵ|2dy	|ψ̄ϵ|2dy	NOUN
ap-7674	98	21	|cϵ|2	|cϵ|2	PUNCT
ap-7674	98	22	=	=	SYM
ap-7674	99	1	∫	∫	PROPN
ap-7674	99	2	∞	∞	PROPN
ap-7674	99	3	0	0	NUM
ap-7674	100	1	∣∣∣∣∣4k3(cos(ky	∣∣∣∣∣4k3(cos(ky	NOUN
ap-7674	100	2	)	)	PUNCT
ap-7674	101	1	+	+	CCONJ
ap-7674	101	2	κ	κ	X
ap-7674	101	3	k	k	X
ap-7674	101	4	sin(ky	sin(ky	NOUN
ap-7674	101	5	)	)	PUNCT
ap-7674	101	6	)	)	PUNCT
ap-7674	101	7	ψ̂ϵ(y	ψ̂ϵ(y	NUM
ap-7674	101	8	)	)	PUNCT
ap-7674	101	9	∣∣∣∣∣	∣∣∣∣∣	ADP
ap-7674	101	10	2	2	NUM
ap-7674	101	11	dy	dy	NOUN
ap-7674	101	12	≤	≤	NUM
ap-7674	101	13	∫	∫	PROPN
ap-7674	101	14	∞	∞	NOUN
ap-7674	101	15	0	0	NUM
ap-7674	102	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ap-7674	102	2	4k2√	4k2√	NUM
ap-7674	102	3	k2	k2	NOUN
ap-7674	102	4	+	+	CCONJ
ap-7674	102	5	κ2	κ2	NOUN
ap-7674	102	6	4ωk3	4ωk3	NUM
ap-7674	102	7	+	+	CCONJ
ap-7674	102	8	2ky	2ky	ADJ
ap-7674	102	9	(	(	PUNCT
ap-7674	102	10	κ2	κ2	NOUN
ap-7674	102	11	+	+	CCONJ
ap-7674	102	12	k2	k2	ADJ
ap-7674	102	13	)	)	PUNCT
ap-7674	102	14	∣∣∣∣∣	∣∣∣∣∣	ADP
ap-7674	102	15	2	2	NUM
ap-7674	102	16	dy	dy	NOUN
ap-7674	102	17	=	=	SYM
ap-7674	102	18	∫	∫	PROPN
ap-7674	102	19	∞	∞	PROPN
ap-7674	102	20	0	0	NUM
ap-7674	103	1	∣∣∣∣	∣∣∣∣	PROPN
ap-7674	103	2	a	a	X
ap-7674	103	3	b+	b+	ADJ
ap-7674	103	4	y	y	PROPN
ap-7674	103	5	∣∣∣∣2	∣∣∣∣2	NOUN
ap-7674	103	6	dy	dy	NOUN
ap-7674	103	7	=	=	PROPN
ap-7674	103	8	a2	a2	PROPN
ap-7674	103	9	b	b	PROPN
ap-7674	103	10	,	,	PUNCT
ap-7674	103	11	(	(	PUNCT
ap-7674	103	12	19	19	NUM
ap-7674	103	13	)	)	PUNCT
ap-7674	104	1	where	where	SCONJ
ap-7674	104	2	a	a	PRON
ap-7674	104	3	=	=	SYM
ap-7674	104	4	2k√	2k√	PROPN
ap-7674	104	5	κ2+k2	κ2+k2	PROPN
ap-7674	104	6	,	,	PUNCT
ap-7674	104	7	b	b	X
ap-7674	104	8	=	=	SYM
ap-7674	104	9	2ωk2	2ωk2	PROPN
ap-7674	104	10	κ2+k2	κ2+k2	INTJ
ap-7674	104	11	.	.	PUNCT
ap-7674	105	1	figure	figure	NOUN
ap-7674	105	2	1	1	NUM
ap-7674	105	3	shows	show	VERB
ap-7674	105	4	a	a	DET
ap-7674	105	5	fair	fair	ADJ
ap-7674	105	6	fit	fit	NOUN
ap-7674	105	7	to	to	ADP
ap-7674	105	8	the	the	DET
ap-7674	105	9	squared	square	VERB
ap-7674	105	10	modulus	modulus	NOUN
ap-7674	105	11	of	of	ADP
ap-7674	105	12	eq	eq	PROPN
ap-7674	105	13	.	.	PUNCT
ap-7674	106	1	(	(	PUNCT
ap-7674	106	2	18	18	NUM
ap-7674	106	3	)	)	PUNCT
ap-7674	106	4	for	for	ADP
ap-7674	106	5	y	y	PROPN
ap-7674	106	6	>	>	X
ap-7674	106	7	0	0	PROPN
ap-7674	106	8	.	.	PUNCT
ap-7674	107	1	for	for	ADP
ap-7674	107	2	an	an	DET
ap-7674	107	3	energy	energy	NOUN
ap-7674	107	4	e	e	NOUN
ap-7674	107	5	=	=	SYM
ap-7674	107	6	q2	q2	PROPN
ap-7674	107	7	̸=	̸=	PROPN
ap-7674	107	8	ϵ	ϵ	NUM
ap-7674	107	9	,	,	PUNCT
ap-7674	107	10	the	the	DET
ap-7674	107	11	wavefunction	wavefunction	NOUN
ap-7674	107	12	solving	solve	VERB
ap-7674	107	13	h̄ψ̄	h̄ψ̄	NOUN
ap-7674	107	14	=	=	PUNCT
ap-7674	107	15	eψ̄	eψ̄	X
ap-7674	107	16	is	be	AUX
ap-7674	107	17	constructed	construct	VERB
ap-7674	107	18	using	use	VERB
ap-7674	107	19	(	(	PUNCT
ap-7674	107	20	6	6	NUM
ap-7674	107	21	)	)	PUNCT
ap-7674	107	22	,	,	PUNCT
ap-7674	107	23	and	and	CCONJ
ap-7674	107	24	(	(	PUNCT
ap-7674	107	25	15	15	NUM
ap-7674	107	26	)	)	PUNCT
ap-7674	107	27	.	.	PUNCT
ap-7674	108	1	it	it	PRON
ap-7674	108	2	reads	read	VERB
ap-7674	108	3	ψ̄(y	ψ̄(y	PRON
ap-7674	108	4	)	)	PUNCT
ap-7674	108	5	=	=	PUNCT
ap-7674	109	1			PUNCT
ap-7674	109	2	[	[	PUNCT
ap-7674	109	3	(	(	PUNCT
ap-7674	109	4	κ−ρ	κ−ρ	NOUN
ap-7674	109	5	)	)	PUNCT
ap-7674	109	6	exp(ρy	exp(ρy	PROPN
ap-7674	109	7	)	)	PUNCT
ap-7674	109	8	(	(	PUNCT
ap-7674	109	9	q2−k2	q2−k2	NUM
ap-7674	109	10	)	)	PUNCT
ap-7674	109	11	]	]	PUNCT
ap-7674	110	1	ψ̄−(y	ψ̄−(y	PROPN
ap-7674	110	2	)	)	PUNCT
ap-7674	110	3	y	y	PROPN
ap-7674	110	4	≤	≤	PROPN
ap-7674	110	5	0	0	NUM
ap-7674	110	6	,	,	PUNCT
ap-7674	110	7	ψ̄+(y)−q2	ψ̄+(y)−q2	PROPN
ap-7674	110	8	cos(qy)−qρ	cos(qy)−qρ	PROPN
ap-7674	110	9	sin(qy	sin(qy	PROPN
ap-7674	110	10	)	)	PUNCT
ap-7674	110	11	q2−k2	q2−k2	PROPN
ap-7674	110	12	y	y	PROPN
ap-7674	110	13	>	>	X
ap-7674	110	14	0	0	NUM
ap-7674	110	15	,	,	PUNCT
ap-7674	110	16	(	(	PUNCT
ap-7674	110	17	20	20	NUM
ap-7674	110	18	)	)	PUNCT
ap-7674	110	19	where	where	SCONJ
ap-7674	110	20	we	we	PRON
ap-7674	110	21	abbreviated	abbreviate	VERB
ap-7674	110	22	ψ̄−(y	ψ̄−(y	PROPN
ap-7674	110	23	)	)	PUNCT
ap-7674	110	24	=	=	PUNCT
ap-7674	111	1	2κω0(κ+	2κω0(κ+	PROPN
ap-7674	111	2	ρ	ρ	NOUN
ap-7674	111	3	)	)	PUNCT
ap-7674	112	1	+	+	CCONJ
ap-7674	112	2	(	(	PUNCT
ap-7674	112	3	ρ−	ρ−	NOUN
ap-7674	112	4	κ	κ	PROPN
ap-7674	112	5	)	)	PUNCT
ap-7674	112	6	exp(2κy	exp(2κy	PUNCT
ap-7674	112	7	)	)	PUNCT
ap-7674	112	8	2κω	2κω	NOUN
ap-7674	113	1	+	+	CCONJ
ap-7674	113	2	exp(2κy	exp(2κy	X
ap-7674	113	3	)	)	PUNCT
ap-7674	114	1	,	,	PUNCT
ap-7674	114	2	ψ̄+(y	ψ̄+(y	PROPN
ap-7674	114	3	)	)	PUNCT
ap-7674	115	1	=	=	SYM
ap-7674	115	2	k2(ρ	k2(ρ	PROPN
ap-7674	115	3	sin(qy	sin(qy	NUM
ap-7674	115	4	)	)	PUNCT
ap-7674	116	1	+	+	CCONJ
ap-7674	116	2	q	q	PROPN
ap-7674	116	3	cos(qy	cos(qy	NOUN
ap-7674	116	4	)	)	PUNCT
ap-7674	116	5	)	)	PUNCT
ap-7674	117	1	q	q	PUNCT
ap-7674	118	1	+	+	NUM
ap-7674	118	2	4k(κ	4k(κ	NUM
ap-7674	118	3	sin(ky	sin(ky	NOUN
ap-7674	118	4	)	)	PUNCT
ap-7674	119	1	+	+	SYM
ap-7674	119	2	k	k	PROPN
ap-7674	119	3	cos(ky	cos(ky	PROPN
ap-7674	119	4	)	)	PUNCT
ap-7674	119	5	)	)	PUNCT
ap-7674	120	1	ψ̂ϵ(y	ψ̂ϵ(y	NUM
ap-7674	120	2	)	)	PUNCT
ap-7674	121	1	×	×	NOUN
ap-7674	122	1	[	[	PUNCT
ap-7674	122	2	k	k	X
ap-7674	122	3	q	q	X
ap-7674	122	4	(	(	PUNCT
ap-7674	122	5	κ	κ	NOUN
ap-7674	122	6	cos(ky	cos(ky	NOUN
ap-7674	122	7	)	)	PUNCT
ap-7674	122	8	−	−	PROPN
ap-7674	122	9	k	k	NOUN
ap-7674	122	10	sin(ky	sin(ky	NOUN
ap-7674	122	11	)	)	PUNCT
ap-7674	122	12	)	)	PUNCT
ap-7674	123	1	(	(	PUNCT
ap-7674	123	2	ρ	ρ	PROPN
ap-7674	123	3	sin(qy	sin(qy	ADJ
ap-7674	123	4	)	)	PUNCT
ap-7674	123	5	+	+	CCONJ
ap-7674	123	6	q	q	PROPN
ap-7674	123	7	cos(qy	cos(qy	NOUN
ap-7674	123	8	)	)	PUNCT
ap-7674	123	9	)	)	PUNCT
ap-7674	124	1	+	+	CCONJ
ap-7674	124	2	(	(	PUNCT
ap-7674	124	3	κ	κ	NOUN
ap-7674	124	4	sin(ky	sin(ky	NOUN
ap-7674	124	5	)	)	PUNCT
ap-7674	124	6	+	+	SYM
ap-7674	124	7	k	k	PROPN
ap-7674	124	8	cos(ky	cos(ky	PROPN
ap-7674	124	9	)	)	PUNCT
ap-7674	124	10	)	)	PUNCT
ap-7674	124	11	(	(	PUNCT
ap-7674	124	12	q	q	X
ap-7674	124	13	sin(qy	sin(qy	NOUN
ap-7674	124	14	)	)	PUNCT
ap-7674	124	15	−	−	PROPN
ap-7674	124	16	ρ	ρ	PROPN
ap-7674	124	17	cos(qy	cos(qy	NOUN
ap-7674	124	18	)	)	PUNCT
ap-7674	124	19	)	)	PUNCT
ap-7674	124	20	]	]	PUNCT
ap-7674	124	21	.	.	PUNCT
ap-7674	125	1	58	58	NUM
ap-7674	125	2	vol	vol	NOUN
ap-7674	125	3	.	.	PUNCT
ap-7674	126	1	62	62	NUM
ap-7674	126	2	no	no	INTJ
ap-7674	126	3	.	.	PUNCT
ap-7674	127	1	1/2022	1/2022	NUM
ap-7674	127	2	step	step	NOUN
ap-7674	127	3	-	-	PUNCT
ap-7674	127	4	like	like	ADJ
ap-7674	127	5	potential	potential	NOUN
ap-7674	127	6	with	with	ADP
ap-7674	127	7	a	a	DET
ap-7674	127	8	freezable	freezable	ADJ
ap-7674	127	9	bound	bind	VERB
ap-7674	127	10	state	state	NOUN
ap-7674	127	11	in	in	ADP
ap-7674	127	12	the	the	DET
ap-7674	127	13	continuum	continuum	NOUN
ap-7674	127	14	in	in	ADP
ap-7674	127	15	figure	figure	NOUN
ap-7674	127	16	2	2	NUM
ap-7674	127	17	the	the	DET
ap-7674	127	18	potential	potential	ADJ
ap-7674	127	19	v̄	v̄	PROPN
ap-7674	127	20	(	(	PUNCT
ap-7674	127	21	y	y	NOUN
ap-7674	127	22	)	)	PUNCT
ap-7674	127	23	,	,	PUNCT
ap-7674	127	24	along	along	ADP
ap-7674	127	25	with	with	ADP
ap-7674	127	26	the	the	DET
ap-7674	127	27	probability	probability	NOUN
ap-7674	127	28	densities	density	NOUN
ap-7674	127	29	of	of	ADP
ap-7674	127	30	the	the	DET
ap-7674	127	31	missing	miss	VERB
ap-7674	127	32	state	state	NOUN
ap-7674	127	33	|ψ̄ϵ(y)|2	|ψ̄ϵ(y)|2	NOUN
ap-7674	127	34	and	and	CCONJ
ap-7674	127	35	a	a	DET
ap-7674	127	36	scattering	scatter	VERB
ap-7674	127	37	state	state	NOUN
ap-7674	127	38	|ψ̄(y)|2	|ψ̄(y)|2	PRON
ap-7674	127	39	are	be	AUX
ap-7674	127	40	shown	show	VERB
ap-7674	127	41	.	.	PUNCT
ap-7674	128	1	we	we	PRON
ap-7674	128	2	observe	observe	VERB
ap-7674	128	3	that	that	SCONJ
ap-7674	128	4	the	the	DET
ap-7674	128	5	wavefunction	wavefunction	NOUN
ap-7674	128	6	of	of	ADP
ap-7674	128	7	the	the	DET
ap-7674	128	8	bic	bic	PROPN
ap-7674	128	9	has	have	VERB
ap-7674	128	10	an	an	DET
ap-7674	128	11	envelop	envelop	NOUN
ap-7674	128	12	function	function	NOUN
ap-7674	128	13	which	which	PRON
ap-7674	128	14	tends	tend	VERB
ap-7674	128	15	to	to	ADP
ap-7674	128	16	zero	zero	NUM
ap-7674	128	17	as	as	ADP
ap-7674	128	18	|y|	|y|	PROPN
ap-7674	128	19	→	→	SYM
ap-7674	128	20	∞	∞	PROPN
ap-7674	128	21	,	,	PUNCT
ap-7674	128	22	whereas	whereas	SCONJ
ap-7674	128	23	the	the	DET
ap-7674	128	24	state	state	NOUN
ap-7674	128	25	ψ̄(y	ψ̄(y	NOUN
ap-7674	128	26	)	)	PUNCT
ap-7674	128	27	is	be	AUX
ap-7674	128	28	not	not	PART
ap-7674	128	29	localized	localize	VERB
ap-7674	128	30	.	.	PUNCT
ap-7674	129	1	the	the	DET
ap-7674	129	2	next	next	ADJ
ap-7674	129	3	step	step	NOUN
ap-7674	129	4	is	be	AUX
ap-7674	129	5	to	to	PART
ap-7674	129	6	construct	construct	VERB
ap-7674	129	7	a	a	DET
ap-7674	129	8	time	time	NOUN
ap-7674	129	9	dependent	dependent	ADJ
ap-7674	129	10	potential	potential	NOUN
ap-7674	129	11	from	from	ADP
ap-7674	129	12	(	(	PUNCT
ap-7674	129	13	17	17	NUM
ap-7674	129	14	)	)	PUNCT
ap-7674	129	15	using	use	VERB
ap-7674	129	16	the	the	DET
ap-7674	129	17	point	point	NOUN
ap-7674	129	18	transformation	transformation	NOUN
ap-7674	129	19	presented	present	VERB
ap-7674	129	20	in	in	ADP
ap-7674	129	21	(	(	PUNCT
ap-7674	129	22	9	9	NUM
ap-7674	129	23	-	-	SYM
ap-7674	129	24	12	12	NUM
ap-7674	129	25	)	)	PUNCT
ap-7674	129	26	.	.	PUNCT
ap-7674	130	1	notice	notice	VERB
ap-7674	130	2	that	that	SCONJ
ap-7674	130	3	x	x	NOUN
ap-7674	130	4	=	=	SYM
ap-7674	130	5	y	y	PROPN
ap-7674	130	6	at	at	ADP
ap-7674	130	7	t	t	PROPN
ap-7674	130	8	=	=	SYM
ap-7674	131	1	0	0	X
ap-7674	131	2	.	.	PUNCT
ap-7674	132	1	then	then	ADV
ap-7674	132	2	v̄	v̄	NOUN
ap-7674	132	3	transforms	transform	VERB
ap-7674	132	4	as	as	ADP
ap-7674	132	5	the	the	DET
ap-7674	132	6	piecewise	piecewise	NOUN
ap-7674	132	7	potential	potential	NOUN
ap-7674	132	8	:	:	PUNCT
ap-7674	132	9	v	v	X
ap-7674	132	10	(	(	PUNCT
ap-7674	132	11	x	x	NOUN
ap-7674	132	12	,	,	PUNCT
ap-7674	132	13	t	t	PROPN
ap-7674	132	14	)	)	PUNCT
ap-7674	132	15	=	=	SYM
ap-7674	132	16	1	1	NUM
ap-7674	132	17	(	(	PUNCT
ap-7674	132	18	4t+	4t+	NOUN
ap-7674	132	19	1)2	1)2	NUM
ap-7674	132	20	{	{	PUNCT
ap-7674	132	21	v̂	v̂	NUM
ap-7674	132	22	−	−	PROPN
ap-7674	132	23	16κ3ω	16κ3ω	NUM
ap-7674	132	24	exp	exp	NOUN
ap-7674	132	25	(	(	PUNCT
ap-7674	132	26	2κx	2κx	ADJ
ap-7674	132	27	4t+1	4t+1	PROPN
ap-7674	132	28	)	)	PUNCT
ap-7674	133	1	[	[	PUNCT
ap-7674	133	2	2κω	2κω	NOUN
ap-7674	133	3	+	+	CCONJ
ap-7674	133	4	exp	exp	NOUN
ap-7674	133	5	(	(	PUNCT
ap-7674	133	6	2κx	2κx	ADJ
ap-7674	133	7	4t+1	4t+1	PROPN
ap-7674	133	8	)	)	PUNCT
ap-7674	134	1	]	]	X
ap-7674	134	2	2	2	X
ap-7674	134	3	}	}	PUNCT
ap-7674	134	4	(	(	PUNCT
ap-7674	134	5	21	21	NUM
ap-7674	134	6	)	)	PUNCT
ap-7674	134	7	if	if	SCONJ
ap-7674	134	8	x	x	SYM
ap-7674	134	9	≤	≤	ADV
ap-7674	134	10	0	0	NUM
ap-7674	134	11	,	,	PUNCT
ap-7674	134	12	otherwise	otherwise	ADV
ap-7674	134	13	v	v	ADJ
ap-7674	134	14	(	(	PUNCT
ap-7674	134	15	x	x	NOUN
ap-7674	134	16	,	,	PUNCT
ap-7674	134	17	t	t	PROPN
ap-7674	134	18	)	)	PUNCT
ap-7674	134	19	=	=	SYM
ap-7674	135	1	32k2	32k2	NUM
ap-7674	135	2	(	(	PUNCT
ap-7674	135	3	4t+	4t+	NUM
ap-7674	135	4	1)2	1)2	NUM
ap-7674	135	5	×	×	NOUN
ap-7674	136	1	[	[	PUNCT
ap-7674	136	2	k	k	X
ap-7674	136	3	cos	cos	PROPN
ap-7674	136	4	(	(	PUNCT
ap-7674	136	5	kx	kx	PROPN
ap-7674	136	6	4t+	4t+	NUM
ap-7674	136	7	1	1	NUM
ap-7674	136	8	)	)	PUNCT
ap-7674	136	9	+	+	CCONJ
ap-7674	136	10	κ	κ	PRON
ap-7674	136	11	sin	sin	NOUN
ap-7674	136	12	(	(	PUNCT
ap-7674	136	13	kx	kx	PROPN
ap-7674	136	14	4t+	4t+	NUM
ap-7674	136	15	1	1	NUM
ap-7674	136	16	)	)	PUNCT
ap-7674	136	17	ṽ(y(x	ṽ(y(x	PROPN
ap-7674	136	18	,	,	PUNCT
ap-7674	136	19	t	t	PROPN
ap-7674	136	20	)	)	PUNCT
ap-7674	136	21	)	)	PUNCT
ap-7674	136	22	v̂(y(x	v̂(y(x	PROPN
ap-7674	136	23	,	,	PUNCT
ap-7674	136	24	t	t	PROPN
ap-7674	136	25	)	)	PUNCT
ap-7674	136	26	)	)	PUNCT
ap-7674	136	27	]	]	PUNCT
ap-7674	136	28	.	.	PUNCT
ap-7674	137	1	(	(	PUNCT
ap-7674	137	2	22	22	NUM
ap-7674	137	3	)	)	PUNCT
ap-7674	137	4	in	in	ADP
ap-7674	137	5	figure	figure	NOUN
ap-7674	137	6	3	3	NUM
ap-7674	137	7	(	(	PUNCT
ap-7674	137	8	top	top	NOUN
ap-7674	137	9	)	)	PUNCT
ap-7674	137	10	we	we	PRON
ap-7674	137	11	show	show	VERB
ap-7674	137	12	the	the	DET
ap-7674	137	13	potential	potential	ADJ
ap-7674	137	14	v	v	NOUN
ap-7674	137	15	(	(	PUNCT
ap-7674	137	16	x	x	NOUN
ap-7674	137	17	,	,	PUNCT
ap-7674	137	18	t	t	PROPN
ap-7674	137	19	)	)	PUNCT
ap-7674	137	20	at	at	ADP
ap-7674	137	21	t	t	PROPN
ap-7674	137	22	=	=	SYM
ap-7674	137	23	0	0	NUM
ap-7674	137	24	,	,	PUNCT
ap-7674	137	25	t	t	NOUN
ap-7674	137	26	=	=	SYM
ap-7674	137	27	0.1	0.1	NUM
ap-7674	137	28	and	and	CCONJ
ap-7674	137	29	t	t	NOUN
ap-7674	137	30	=	=	NUM
ap-7674	137	31	0.2	0.2	NUM
ap-7674	137	32	.	.	PUNCT
ap-7674	138	1	its	its	PRON
ap-7674	138	2	shape	shape	NOUN
ap-7674	138	3	changes	change	NOUN
ap-7674	138	4	in	in	ADP
ap-7674	138	5	time	time	NOUN
ap-7674	138	6	and	and	CCONJ
ap-7674	138	7	its	its	PRON
ap-7674	138	8	spatial	spatial	ADJ
ap-7674	138	9	profile	profile	NOUN
ap-7674	138	10	oscillates	oscillate	NOUN
ap-7674	138	11	as	as	SCONJ
ap-7674	138	12	expected	expect	VERB
ap-7674	138	13	,	,	PUNCT
ap-7674	138	14	vanishing	vanish	VERB
ap-7674	138	15	as	as	ADP
ap-7674	138	16	x	x	X
ap-7674	138	17	→	→	SYM
ap-7674	138	18	∞.	∞.	PROPN
ap-7674	138	19	analogously	analogously	ADV
ap-7674	138	20	,	,	PUNCT
ap-7674	138	21	for	for	ADP
ap-7674	138	22	the	the	DET
ap-7674	138	23	time	time	NOUN
ap-7674	138	24	-	-	PUNCT
ap-7674	138	25	dependent	dependent	ADJ
ap-7674	138	26	bic	bic	NOUN
ap-7674	138	27	,	,	PUNCT
ap-7674	138	28	the	the	DET
ap-7674	138	29	associated	associated	ADJ
ap-7674	138	30	wavefunction	wavefunction	NOUN
ap-7674	138	31	for	for	ADP
ap-7674	138	32	energy	energy	NOUN
ap-7674	138	33	ϵ	ϵ	X
ap-7674	138	34	is	be	AUX
ap-7674	138	35	explicitly	explicitly	ADV
ap-7674	138	36	ϕϵ(x	ϕϵ(x	PROPN
ap-7674	138	37	,	,	PUNCT
ap-7674	138	38	t	t	PROPN
ap-7674	138	39	)	)	PUNCT
ap-7674	138	40	=	=	SYM
ap-7674	138	41	1√	1√	NUM
ap-7674	138	42	4t+	4t+	NUM
ap-7674	138	43	1	1	NUM
ap-7674	138	44	exp	exp	NOUN
ap-7674	138	45	{	{	PUNCT
ap-7674	138	46	i(x2	i(x2	NOUN
ap-7674	138	47	+	+	CCONJ
ap-7674	138	48	k2	k2	ADJ
ap-7674	138	49	4	4	NUM
ap-7674	138	50	)	)	PUNCT
ap-7674	138	51	4t+	4t+	NUM
ap-7674	138	52	1	1	X
ap-7674	138	53	}	}	PUNCT
ap-7674	138	54	ψ̄ϵ	ψ̄ϵ	NOUN
ap-7674	138	55	(	(	PUNCT
ap-7674	138	56	x	x	SYM
ap-7674	138	57	4t+	4t+	NUM
ap-7674	138	58	1	1	NUM
ap-7674	138	59	)	)	PUNCT
ap-7674	138	60	,	,	PUNCT
ap-7674	138	61	(	(	PUNCT
ap-7674	138	62	23	23	NUM
ap-7674	138	63	)	)	PUNCT
ap-7674	138	64	this	this	DET
ap-7674	138	65	function	function	NOUN
ap-7674	138	66	solves	solve	VERB
ap-7674	138	67	the	the	DET
ap-7674	138	68	time	time	NOUN
ap-7674	138	69	-	-	PUNCT
ap-7674	138	70	dependent	dependent	ADJ
ap-7674	138	71	schrödinger	schrödinger	ADJ
ap-7674	138	72	equation	equation	NOUN
ap-7674	138	73	i∂tϕϵ	i∂tϕϵ	X
ap-7674	139	1	+	+	CCONJ
ap-7674	139	2	∂xxϕϵ	∂xxϕϵ	ADJ
ap-7674	139	3	−	−	NOUN
ap-7674	139	4	v	v	NOUN
ap-7674	139	5	ϕϵ	ϕϵ	NOUN
ap-7674	139	6	=	=	SYM
ap-7674	139	7	0	0	NUM
ap-7674	140	1	and	and	CCONJ
ap-7674	140	2	its	its	PRON
ap-7674	140	3	square	square	ADJ
ap-7674	140	4	integrability	integrability	NOUN
ap-7674	140	5	is	be	AUX
ap-7674	140	6	guaranteed	guarantee	VERB
ap-7674	140	7	since	since	SCONJ
ap-7674	140	8	ψ̄ϵ(y	ψ̄ϵ(y	NOUN
ap-7674	140	9	)	)	PUNCT
ap-7674	140	10	is	be	AUX
ap-7674	140	11	a	a	DET
ap-7674	140	12	square	square	ADJ
ap-7674	140	13	integrable	integrable	ADJ
ap-7674	140	14	function	function	NOUN
ap-7674	140	15	:	:	PUNCT
ap-7674	140	16	||ϕϵ||2	||ϕϵ||2	NOUN
ap-7674	140	17	=	=	SYM
ap-7674	140	18	∫	∫	PROPN
ap-7674	140	19	∞	∞	PROPN
ap-7674	141	1	−∞	−∞	ADP
ap-7674	141	2	|ϕϵ(x	|ϕϵ(x	PROPN
ap-7674	141	3	,	,	PUNCT
ap-7674	141	4	t)|2dx	t)|2dx	ADJ
ap-7674	141	5	=	=	SYM
ap-7674	141	6	1	1	NUM
ap-7674	141	7	4t+	4t+	NUM
ap-7674	141	8	1	1	NUM
ap-7674	141	9	∫	∫	NOUN
ap-7674	141	10	∞	∞	PROPN
ap-7674	141	11	−∞	−∞	X
ap-7674	141	12	∣∣ψ̄ϵ	∣∣ψ̄ϵ	PROPN
ap-7674	141	13	(	(	PUNCT
ap-7674	141	14	x	x	SYM
ap-7674	141	15	4t+	4t+	NUM
ap-7674	141	16	1	1	NUM
ap-7674	141	17	)	)	PUNCT
ap-7674	141	18	∣∣2	∣∣2	PROPN
ap-7674	141	19	dx	dx	PROPN
ap-7674	141	20	=	=	SYM
ap-7674	141	21	∫	∫	PROPN
ap-7674	141	22	∞	∞	PROPN
ap-7674	141	23	−∞	−∞	X
ap-7674	141	24	∣∣ψ̄ϵ(y	∣∣ψ̄ϵ(y	NOUN
ap-7674	141	25	)	)	PUNCT
ap-7674	141	26	∣∣2	∣∣2	PROPN
ap-7674	141	27	dy	dy	NOUN
ap-7674	141	28	=	=	PROPN
ap-7674	141	29	||ψ̄ϵ||2	||ψ̄ϵ||2	PROPN
ap-7674	141	30	.	.	PUNCT
ap-7674	142	1	(	(	PUNCT
ap-7674	142	2	24	24	NUM
ap-7674	142	3	)	)	PUNCT
ap-7674	142	4	where	where	SCONJ
ap-7674	142	5	we	we	PRON
ap-7674	142	6	used	use	VERB
ap-7674	142	7	the	the	DET
ap-7674	142	8	change	change	NOUN
ap-7674	142	9	of	of	ADP
ap-7674	142	10	variable	variable	NOUN
ap-7674	142	11	(	(	PUNCT
ap-7674	142	12	9	9	NUM
ap-7674	142	13	)	)	PUNCT
ap-7674	142	14	.	.	PUNCT
ap-7674	143	1	its	its	PRON
ap-7674	143	2	probability	probability	NOUN
ap-7674	143	3	density	density	NOUN
ap-7674	143	4	is	be	AUX
ap-7674	143	5	shown	show	VERB
ap-7674	143	6	in	in	ADP
ap-7674	143	7	figure	figure	NOUN
ap-7674	143	8	3	3	NUM
ap-7674	143	9	(	(	PUNCT
ap-7674	143	10	center	center	NOUN
ap-7674	143	11	)	)	PUNCT
ap-7674	143	12	at	at	ADP
ap-7674	143	13	different	different	ADJ
ap-7674	143	14	times	time	NOUN
ap-7674	143	15	.	.	PUNCT
ap-7674	144	1	this	this	DET
ap-7674	144	2	state	state	NOUN
ap-7674	144	3	is	be	AUX
ap-7674	144	4	localized	localize	VERB
ap-7674	144	5	and	and	CCONJ
ap-7674	144	6	the	the	DET
ap-7674	144	7	first	first	ADJ
ap-7674	144	8	peak	peak	NOUN
ap-7674	144	9	in	in	ADP
ap-7674	144	10	the	the	DET
ap-7674	144	11	probability	probability	NOUN
ap-7674	144	12	density	density	NOUN
ap-7674	144	13	broadens	broaden	VERB
ap-7674	144	14	and	and	CCONJ
ap-7674	144	15	diminishes	diminish	VERB
ap-7674	144	16	height	height	NOUN
ap-7674	144	17	as	as	ADP
ap-7674	144	18	time	time	NOUN
ap-7674	144	19	increases	increase	NOUN
ap-7674	144	20	.	.	PUNCT
ap-7674	145	1	for	for	ADP
ap-7674	145	2	states	state	NOUN
ap-7674	145	3	with	with	ADP
ap-7674	145	4	energy	energy	NOUN
ap-7674	145	5	eq	eq	NOUN
ap-7674	145	6	=	=	PROPN
ap-7674	145	7	q2	q2	PROPN
ap-7674	145	8	̸=	̸=	PROPN
ap-7674	145	9	ϵ	ϵ	NUM
ap-7674	145	10	,	,	PUNCT
ap-7674	145	11	the	the	DET
ap-7674	145	12	corresponding	corresponding	ADJ
ap-7674	145	13	time	time	NOUN
ap-7674	145	14	-	-	PUNCT
ap-7674	145	15	dependent	dependent	ADJ
ap-7674	145	16	wavefunction	wavefunction	NOUN
ap-7674	145	17	has	have	VERB
ap-7674	145	18	the	the	DET
ap-7674	145	19	explicit	explicit	ADJ
ap-7674	145	20	form	form	NOUN
ap-7674	145	21	ϕ(x	ϕ(x	PROPN
ap-7674	145	22	,	,	PUNCT
ap-7674	145	23	t	t	PROPN
ap-7674	145	24	)	)	PUNCT
ap-7674	145	25	=	=	SYM
ap-7674	145	26	1√	1√	NUM
ap-7674	145	27	4t+	4t+	NUM
ap-7674	145	28	1	1	NUM
ap-7674	145	29	exp	exp	NOUN
ap-7674	145	30	{	{	PUNCT
ap-7674	145	31	i(x2	i(x2	NOUN
ap-7674	145	32	+	+	CCONJ
ap-7674	145	33	q2	q2	NOUN
ap-7674	145	34	4	4	NUM
ap-7674	145	35	)	)	PUNCT
ap-7674	145	36	4t+	4t+	NUM
ap-7674	145	37	1	1	NUM
ap-7674	145	38	}	}	PUNCT
ap-7674	145	39	ψ̄	ψ̄	NOUN
ap-7674	146	1	(	(	PUNCT
ap-7674	146	2	x	x	SYM
ap-7674	146	3	4t+	4t+	NUM
ap-7674	146	4	1	1	NUM
ap-7674	146	5	)	)	PUNCT
ap-7674	146	6	,	,	PUNCT
ap-7674	146	7	(	(	PUNCT
ap-7674	146	8	25	25	NUM
ap-7674	146	9	)	)	PUNCT
ap-7674	146	10	the	the	DET
ap-7674	146	11	behavior	behavior	NOUN
ap-7674	146	12	of	of	ADP
ap-7674	146	13	the	the	DET
ap-7674	146	14	probability	probability	NOUN
ap-7674	146	15	density	density	NOUN
ap-7674	146	16	|ϕ(x	|ϕ(x	PROPN
ap-7674	146	17	,	,	PUNCT
ap-7674	146	18	t)|2	t)|2	PROPN
ap-7674	146	19	,	,	PUNCT
ap-7674	146	20	for	for	ADP
ap-7674	146	21	e	e	NOUN
ap-7674	146	22	=	=	SYM
ap-7674	146	23	2	2	NUM
ap-7674	146	24	at	at	ADP
ap-7674	146	25	different	different	ADJ
ap-7674	146	26	times	time	NOUN
ap-7674	146	27	is	be	AUX
ap-7674	146	28	shown	show	VERB
ap-7674	146	29	in	in	ADP
ap-7674	146	30	figure	figure	NOUN
ap-7674	146	31	3	3	NUM
ap-7674	146	32	(	(	PUNCT
ap-7674	146	33	bottom	bottom	NOUN
ap-7674	146	34	)	)	PUNCT
ap-7674	146	35	.	.	PUNCT
ap-7674	147	1	this	this	DET
ap-7674	147	2	state	state	NOUN
ap-7674	147	3	is	be	AUX
ap-7674	147	4	unlocalized	unlocalize	VERB
ap-7674	147	5	at	at	ADP
ap-7674	147	6	any	any	DET
ap-7674	147	7	time	time	NOUN
ap-7674	147	8	.	.	PUNCT
ap-7674	148	1	finally	finally	ADV
ap-7674	148	2	,	,	PUNCT
ap-7674	148	3	we	we	PRON
ap-7674	148	4	choose	choose	VERB
ap-7674	148	5	the	the	DET
ap-7674	148	6	freezing	freezing	NOUN
ap-7674	148	7	or	or	CCONJ
ap-7674	148	8	stopping	stop	VERB
ap-7674	148	9	time	time	NOUN
ap-7674	148	10	ti	ti	NOUN
ap-7674	148	11	.	.	PUNCT
ap-7674	149	1	then	then	ADV
ap-7674	149	2	,	,	PUNCT
ap-7674	149	3	we	we	PRON
ap-7674	149	4	can	can	AUX
ap-7674	149	5	consider	consider	VERB
ap-7674	149	6	a	a	DET
ap-7674	149	7	charge	charge	NOUN
ap-7674	149	8	particle	particle	NOUN
ap-7674	149	9	in	in	ADP
ap-7674	149	10	a	a	DET
ap-7674	149	11	potential	potential	NOUN
ap-7674	149	12	:	:	PUNCT
ap-7674	150	1	vf	vf	X
ap-7674	150	2	(	(	PUNCT
ap-7674	150	3	x	x	PROPN
ap-7674	150	4	,	,	PUNCT
ap-7674	150	5	t	t	PROPN
ap-7674	150	6	)	)	PUNCT
ap-7674	150	7	=	=	PRON
ap-7674	150	8	{	{	PUNCT
ap-7674	150	9	v	v	NOUN
ap-7674	150	10	(	(	PUNCT
ap-7674	150	11	x	x	NOUN
ap-7674	150	12	,	,	PUNCT
ap-7674	150	13	t	t	PROPN
ap-7674	150	14	)	)	PUNCT
ap-7674	150	15	0	0	NUM
ap-7674	150	16	≤	≤	PROPN
ap-7674	150	17	t	t	X
ap-7674	150	18	<	<	X
ap-7674	150	19	ti	ti	PROPN
ap-7674	150	20	,	,	PUNCT
ap-7674	150	21	v	v	NOUN
ap-7674	150	22	(	(	PUNCT
ap-7674	150	23	x	x	NOUN
ap-7674	150	24	,	,	PUNCT
ap-7674	150	25	ti	ti	NOUN
ap-7674	150	26	)	)	PUNCT
ap-7674	150	27	t	t	PROPN
ap-7674	150	28	≥	≥	NOUN
ap-7674	150	29	ti	ti	X
ap-7674	150	30	.	.	PUNCT
ap-7674	151	1	(	(	PUNCT
ap-7674	151	2	26	26	NUM
ap-7674	151	3	)	)	PUNCT
ap-7674	151	4	figure	figure	NOUN
ap-7674	151	5	2	2	NUM
ap-7674	151	6	.	.	PUNCT
ap-7674	151	7	potential	potential	ADJ
ap-7674	151	8	v̄	v̄	PROPN
ap-7674	151	9	(	(	PUNCT
ap-7674	151	10	y	y	NOUN
ap-7674	151	11	)	)	PUNCT
ap-7674	151	12	,	,	PUNCT
ap-7674	151	13	along	along	ADP
ap-7674	151	14	with	with	ADP
ap-7674	151	15	the	the	DET
ap-7674	151	16	probability	probability	NOUN
ap-7674	151	17	densities	density	NOUN
ap-7674	151	18	of	of	ADP
ap-7674	151	19	the	the	DET
ap-7674	151	20	missing	miss	VERB
ap-7674	151	21	state	state	NOUN
ap-7674	151	22	|ψ̄ϵ(y)|2	|ψ̄ϵ(y)|2	NOUN
ap-7674	151	23	and	and	CCONJ
ap-7674	151	24	a	a	DET
ap-7674	151	25	scattering	scatter	VERB
ap-7674	151	26	state	state	NOUN
ap-7674	151	27	|ψ̄(y)|2	|ψ̄(y)|2	PRON
ap-7674	151	28	are	be	AUX
ap-7674	151	29	shown	show	VERB
ap-7674	151	30	.	.	PUNCT
ap-7674	152	1	the	the	DET
ap-7674	152	2	scale	scale	NOUN
ap-7674	152	3	of	of	ADP
ap-7674	152	4	the	the	DET
ap-7674	152	5	graph	graph	NOUN
ap-7674	152	6	is	be	AUX
ap-7674	152	7	fixed	fix	VERB
ap-7674	152	8	with	with	ADP
ap-7674	152	9	v̂	v̂	NOUN
ap-7674	152	10	=	=	SYM
ap-7674	152	11	5	5	NUM
ap-7674	152	12	,	,	PUNCT
ap-7674	152	13	k	k	NOUN
ap-7674	152	14	=	=	SYM
ap-7674	152	15	1	1	NUM
ap-7674	152	16	,	,	PUNCT
ap-7674	152	17	κ	κ	X
ap-7674	152	18	=	=	SYM
ap-7674	152	19	2	2	NUM
ap-7674	152	20	,	,	PUNCT
ap-7674	152	21	q	q	NOUN
ap-7674	152	22	=	=	NOUN
ap-7674	152	23	√	√	NUM
ap-7674	152	24	2	2	NUM
ap-7674	152	25	and	and	CCONJ
ap-7674	152	26	ω	ω	NUM
ap-7674	152	27	=	=	SYM
ap-7674	152	28	4	4	X
ap-7674	152	29	.	.	PUNCT
ap-7674	152	30	figure	figure	VERB
ap-7674	152	31	3	3	NUM
ap-7674	152	32	.	.	PUNCT
ap-7674	153	1	behavior	behavior	NOUN
ap-7674	153	2	of	of	ADP
ap-7674	153	3	the	the	DET
ap-7674	153	4	potential	potential	ADJ
ap-7674	153	5	v	v	NOUN
ap-7674	153	6	(	(	PUNCT
ap-7674	153	7	x	x	NOUN
ap-7674	153	8	,	,	PUNCT
ap-7674	153	9	t	t	PROPN
ap-7674	153	10	)	)	PUNCT
ap-7674	153	11	(	(	PUNCT
ap-7674	153	12	top	top	NOUN
ap-7674	153	13	)	)	PUNCT
ap-7674	153	14	,	,	PUNCT
ap-7674	153	15	the	the	DET
ap-7674	153	16	bic	bic	PROPN
ap-7674	153	17	ϕϵ(x	ϕϵ(x	PROPN
ap-7674	153	18	,	,	PUNCT
ap-7674	153	19	t	t	PROPN
ap-7674	153	20	)	)	PUNCT
ap-7674	153	21	(	(	PUNCT
ap-7674	153	22	center	center	NOUN
ap-7674	153	23	)	)	PUNCT
ap-7674	153	24	and	and	CCONJ
ap-7674	153	25	the	the	DET
ap-7674	153	26	scattering	scatter	VERB
ap-7674	153	27	state	state	NOUN
ap-7674	153	28	ϕ(x	ϕ(x	PROPN
ap-7674	153	29	,	,	PUNCT
ap-7674	153	30	t	t	PROPN
ap-7674	153	31	)	)	PUNCT
ap-7674	153	32	(	(	PUNCT
ap-7674	153	33	bottom	bottom	NOUN
ap-7674	153	34	)	)	PUNCT
ap-7674	153	35	at	at	ADP
ap-7674	153	36	the	the	DET
ap-7674	153	37	times	time	NOUN
ap-7674	153	38	t	t	PROPN
ap-7674	153	39	=	=	SYM
ap-7674	153	40	0	0	NUM
ap-7674	153	41	,	,	PUNCT
ap-7674	153	42	t	t	NOUN
ap-7674	153	43	=	=	SYM
ap-7674	153	44	0.1	0.1	NUM
ap-7674	153	45	,	,	PUNCT
ap-7674	153	46	and	and	CCONJ
ap-7674	153	47	t	t	X
ap-7674	153	48	=	=	NUM
ap-7674	153	49	0.2	0.2	NUM
ap-7674	153	50	.	.	PUNCT
ap-7674	154	1	the	the	DET
ap-7674	154	2	scale	scale	NOUN
ap-7674	154	3	of	of	ADP
ap-7674	154	4	the	the	DET
ap-7674	154	5	graphs	graph	NOUN
ap-7674	154	6	is	be	AUX
ap-7674	154	7	fixed	fix	VERB
ap-7674	154	8	by	by	ADP
ap-7674	154	9	v̂	v̂	NOUN
ap-7674	154	10	=	=	SYM
ap-7674	154	11	5	5	NUM
ap-7674	154	12	,	,	PUNCT
ap-7674	154	13	k	k	NOUN
ap-7674	154	14	=	=	SYM
ap-7674	154	15	1	1	NUM
ap-7674	154	16	,	,	PUNCT
ap-7674	154	17	κ	κ	X
ap-7674	154	18	=	=	SYM
ap-7674	154	19	2	2	NUM
ap-7674	154	20	,	,	PUNCT
ap-7674	154	21	q	q	NOUN
ap-7674	154	22	=	=	NOUN
ap-7674	154	23	√	√	NUM
ap-7674	154	24	2	2	NUM
ap-7674	154	25	and	and	CCONJ
ap-7674	154	26	ω	ω	NUM
ap-7674	154	27	=	=	SYM
ap-7674	154	28	4	4	NUM
ap-7674	154	29	.	.	NUM
ap-7674	154	30	59	59	NUM
ap-7674	154	31	i.	i.	NOUN
ap-7674	154	32	gutiérrez	gutiérrez	PROPN
ap-7674	154	33	,	,	PUNCT
ap-7674	154	34	a.	a.	PROPN
ap-7674	154	35	contreras	contreras	PROPN
ap-7674	154	36	-	-	PUNCT
ap-7674	154	37	astorga	astorga	PROPN
ap-7674	154	38	,	,	PUNCT
ap-7674	154	39	a.	a.	PROPN
ap-7674	154	40	raya	raya	PROPN
ap-7674	154	41	acta	acta	PROPN
ap-7674	154	42	polytechnica	polytechnica	PROPN
ap-7674	154	43	where	where	SCONJ
ap-7674	154	44	v	v	X
ap-7674	154	45	(	(	PUNCT
ap-7674	154	46	x	x	PROPN
ap-7674	154	47	,	,	PUNCT
ap-7674	154	48	t	t	PROPN
ap-7674	154	49	)	)	PUNCT
ap-7674	154	50	is	be	AUX
ap-7674	154	51	given	give	VERB
ap-7674	154	52	by	by	ADP
ap-7674	154	53	(	(	PUNCT
ap-7674	154	54	21,22	21,22	NOUN
ap-7674	154	55	)	)	PUNCT
ap-7674	154	56	.	.	PUNCT
ap-7674	155	1	notice	notice	VERB
ap-7674	155	2	that	that	SCONJ
ap-7674	155	3	when	when	SCONJ
ap-7674	155	4	t	t	PROPN
ap-7674	155	5	∈	∈	PROPN
ap-7674	155	6	[	[	X
ap-7674	155	7	0	0	NUM
ap-7674	155	8	,	,	PUNCT
ap-7674	155	9	ti	ti	NOUN
ap-7674	155	10	)	)	PUNCT
ap-7674	155	11	the	the	DET
ap-7674	155	12	potential	potential	NOUN
ap-7674	155	13	is	be	AUX
ap-7674	155	14	changing	change	VERB
ap-7674	155	15	in	in	ADP
ap-7674	155	16	time	time	NOUN
ap-7674	155	17	,	,	PUNCT
ap-7674	155	18	and	and	CCONJ
ap-7674	155	19	when	when	SCONJ
ap-7674	155	20	t	t	PROPN
ap-7674	155	21	≥	≥	PUNCT
ap-7674	155	22	ti	ti	PROPN
ap-7674	155	23	the	the	DET
ap-7674	155	24	potential	potential	NOUN
ap-7674	155	25	is	be	AUX
ap-7674	155	26	frozen	freeze	VERB
ap-7674	155	27	.	.	PUNCT
ap-7674	156	1	this	this	DET
ap-7674	156	2	potential	potential	NOUN
ap-7674	156	3	is	be	AUX
ap-7674	156	4	in	in	ADP
ap-7674	156	5	fact	fact	NOUN
ap-7674	156	6	a	a	DET
ap-7674	156	7	family	family	NOUN
ap-7674	156	8	,	,	PUNCT
ap-7674	156	9	parametrized	parametrize	VERB
ap-7674	156	10	by	by	ADP
ap-7674	156	11	ω	ω	PROPN
ap-7674	156	12	>	>	X
ap-7674	156	13	0	0	PROPN
ap-7674	156	14	,	,	PUNCT
ap-7674	156	15	recall	recall	VERB
ap-7674	156	16	that	that	SCONJ
ap-7674	156	17	ω	ω	PROPN
ap-7674	156	18	was	be	AUX
ap-7674	156	19	introduced	introduce	VERB
ap-7674	156	20	by	by	ADP
ap-7674	156	21	the	the	DET
ap-7674	156	22	confluent	confluent	ADJ
ap-7674	156	23	susy	susy	NOUN
ap-7674	156	24	transformation	transformation	NOUN
ap-7674	156	25	.	.	PUNCT
ap-7674	157	1	neither	neither	CCONJ
ap-7674	157	2	ϕ(x	ϕ(x	PROPN
ap-7674	157	3	,	,	PUNCT
ap-7674	157	4	t	t	PROPN
ap-7674	157	5	)	)	PUNCT
ap-7674	157	6	nor	nor	CCONJ
ap-7674	157	7	ϕϵ(x	ϕϵ(x	PROPN
ap-7674	157	8	,	,	PUNCT
ap-7674	157	9	t	t	PROPN
ap-7674	157	10	)	)	PUNCT
ap-7674	157	11	are	be	AUX
ap-7674	157	12	stationary	stationary	ADJ
ap-7674	157	13	states	state	NOUN
ap-7674	157	14	,	,	PUNCT
ap-7674	157	15	they	they	PRON
ap-7674	157	16	evolve	evolve	VERB
ap-7674	157	17	in	in	ADP
ap-7674	157	18	time	time	NOUN
ap-7674	157	19	,	,	PUNCT
ap-7674	157	20	and	and	CCONJ
ap-7674	157	21	they	they	PRON
ap-7674	157	22	are	be	AUX
ap-7674	157	23	not	not	PART
ap-7674	157	24	eigenfunctions	eigenfunction	NOUN
ap-7674	157	25	of	of	ADP
ap-7674	157	26	the	the	DET
ap-7674	157	27	operator	operator	NOUN
ap-7674	157	28	−∂xx	−∂xx	X
ap-7674	158	1	+	+	CCONJ
ap-7674	158	2	v	v	NOUN
ap-7674	158	3	.	.	PUNCT
ap-7674	159	1	at	at	ADP
ap-7674	159	2	any	any	DET
ap-7674	159	3	time	time	NOUN
ap-7674	159	4	t	t	PROPN
ap-7674	159	5	≥	≥	NOUN
ap-7674	159	6	ti	ti	PROPN
ap-7674	159	7	,	,	PUNCT
ap-7674	159	8	the	the	DET
ap-7674	159	9	functions	function	NOUN
ap-7674	159	10	ϕ(x	ϕ(x	PROPN
ap-7674	159	11	,	,	PUNCT
ap-7674	159	12	ti	ti	NOUN
ap-7674	159	13	)	)	PUNCT
ap-7674	159	14	and	and	CCONJ
ap-7674	159	15	ϕϵ(x	ϕϵ(x	PROPN
ap-7674	159	16	,	,	PUNCT
ap-7674	159	17	ti	ti	NOUN
ap-7674	159	18	)	)	PUNCT
ap-7674	159	19	satisfy	satisfy	VERB
ap-7674	159	20	the	the	DET
ap-7674	159	21	eigenvalue	eigenvalue	PROPN
ap-7674	159	22	equation	equation	NOUN
ap-7674	159	23	:	:	PUNCT
ap-7674	160	1	[	[	X
ap-7674	160	2	(	(	PUNCT
ap-7674	160	3	−	−	NUM
ap-7674	160	4	∂	∂	NOUN
ap-7674	160	5	∂x	∂x	NOUN
ap-7674	160	6	+	+	CCONJ
ap-7674	160	7	iax(x	iax(x	PROPN
ap-7674	160	8	)	)	PUNCT
ap-7674	160	9	)	)	PUNCT
ap-7674	160	10	2	2	NUM
ap-7674	160	11	+	+	NUM
ap-7674	160	12	v	v	NOUN
ap-7674	160	13	(	(	PUNCT
ap-7674	160	14	x	x	NOUN
ap-7674	160	15	,	,	PUNCT
ap-7674	160	16	ti	ti	NOUN
ap-7674	160	17	)	)	PUNCT
ap-7674	160	18	]	]	PUNCT
ap-7674	161	1	ϕ(x	ϕ(x	PROPN
ap-7674	161	2	,	,	PUNCT
ap-7674	161	3	ti	ti	NOUN
ap-7674	161	4	)	)	PUNCT
ap-7674	161	5	=	=	SYM
ap-7674	161	6	e	e	X
ap-7674	161	7	(	(	PUNCT
ap-7674	161	8	4ti	4ti	NOUN
ap-7674	161	9	+	+	CCONJ
ap-7674	161	10	1)2ϕ(x	1)2ϕ(x	NUM
ap-7674	161	11	,	,	PUNCT
ap-7674	161	12	ti	ti	NOUN
ap-7674	161	13	)	)	PUNCT
ap-7674	161	14	,	,	PUNCT
ap-7674	161	15	t	t	PROPN
ap-7674	161	16	≥	≥	NUM
ap-7674	161	17	ti	ti	PROPN
ap-7674	161	18	,	,	PUNCT
ap-7674	161	19	(	(	PUNCT
ap-7674	161	20	27	27	NUM
ap-7674	161	21	)	)	PUNCT
ap-7674	161	22	where	where	SCONJ
ap-7674	161	23	ax(x	ax(x	ADV
ap-7674	161	24	)	)	PUNCT
ap-7674	161	25	=	=	SYM
ap-7674	161	26	−∂xθ(x	−∂xθ(x	NOUN
ap-7674	161	27	)	)	PUNCT
ap-7674	161	28	and	and	CCONJ
ap-7674	161	29	θ(x	θ(x	PROPN
ap-7674	161	30	)	)	PUNCT
ap-7674	162	1	=	=	NOUN
ap-7674	163	1	i	i	PRON
ap-7674	163	2	4ti	4ti	NOUN
ap-7674	164	1	+	+	CCONJ
ap-7674	164	2	1	1	NUM
ap-7674	164	3	(	(	PUNCT
ap-7674	164	4	x2	x2	PROPN
ap-7674	164	5	+	+	CCONJ
ap-7674	164	6	e	e	NOUN
ap-7674	164	7	4	4	NUM
ap-7674	164	8	)	)	PUNCT
ap-7674	164	9	.	.	PUNCT
ap-7674	165	1	(	(	PUNCT
ap-7674	165	2	28	28	NUM
ap-7674	165	3	)	)	PUNCT
ap-7674	165	4	equation	equation	NOUN
ap-7674	165	5	(	(	PUNCT
ap-7674	165	6	27	27	NUM
ap-7674	165	7	)	)	PUNCT
ap-7674	165	8	is	be	AUX
ap-7674	165	9	the	the	DET
ap-7674	165	10	schrödinger	schrödinger	ADJ
ap-7674	165	11	equation	equation	NOUN
ap-7674	165	12	for	for	ADP
ap-7674	165	13	a	a	DET
ap-7674	165	14	charged	charge	VERB
ap-7674	165	15	particle	particle	NOUN
ap-7674	165	16	under	under	ADP
ap-7674	165	17	the	the	DET
ap-7674	165	18	influence	influence	NOUN
ap-7674	165	19	of	of	ADP
ap-7674	165	20	a	a	DET
ap-7674	165	21	vector	vector	NOUN
ap-7674	165	22	potential	potential	NOUN
ap-7674	165	23	a	a	DET
ap-7674	165	24	=	=	X
ap-7674	165	25	(	(	PUNCT
ap-7674	165	26	ax	ax	NOUN
ap-7674	165	27	,	,	PUNCT
ap-7674	165	28	0	0	NUM
ap-7674	165	29	,	,	PUNCT
ap-7674	165	30	0	0	NUM
ap-7674	165	31	)	)	PUNCT
ap-7674	165	32	that	that	SCONJ
ap-7674	165	33	,	,	PUNCT
ap-7674	165	34	nevertheless	nevertheless	ADV
ap-7674	165	35	,	,	PUNCT
ap-7674	165	36	does	do	AUX
ap-7674	165	37	not	not	PART
ap-7674	165	38	generate	generate	VERB
ap-7674	165	39	magnetic	magnetic	ADJ
ap-7674	165	40	field	field	NOUN
ap-7674	165	41	since	since	SCONJ
ap-7674	165	42	b	b	NOUN
ap-7674	165	43	=	=	SYM
ap-7674	165	44	∇	∇	X
ap-7674	165	45	×	×	NOUN
ap-7674	165	46	a	a	X
ap-7674	165	47	=	=	NOUN
ap-7674	165	48	0	0	X
ap-7674	165	49	.	.	PUNCT
ap-7674	166	1	let	let	VERB
ap-7674	166	2	us	we	PRON
ap-7674	166	3	recall	recall	VERB
ap-7674	166	4	that	that	SCONJ
ap-7674	166	5	the	the	DET
ap-7674	166	6	schrödinger	schrödinger	ADJ
ap-7674	166	7	equation	equation	NOUN
ap-7674	166	8	for	for	ADP
ap-7674	166	9	a	a	DET
ap-7674	166	10	charged	charge	VERB
ap-7674	166	11	particle	particle	NOUN
ap-7674	166	12	of	of	ADP
ap-7674	166	13	charge	charge	NOUN
ap-7674	166	14	q	q	PROPN
ap-7674	166	15	immersed	immerse	VERB
ap-7674	166	16	in	in	ADP
ap-7674	166	17	an	an	DET
ap-7674	166	18	external	external	ADJ
ap-7674	166	19	electromagnetic	electromagnetic	ADJ
ap-7674	166	20	field	field	NOUN
ap-7674	166	21	is	be	AUX
ap-7674	166	22	better	well	ADV
ap-7674	166	23	written	write	VERB
ap-7674	166	24	in	in	ADP
ap-7674	166	25	terms	term	NOUN
ap-7674	166	26	of	of	ADP
ap-7674	166	27	the	the	DET
ap-7674	166	28	scalar	scalar	ADJ
ap-7674	166	29	φ	φ	PROPN
ap-7674	166	30	and	and	CCONJ
ap-7674	166	31	vector	vector	NOUN
ap-7674	166	32	potentials	potential	VERB
ap-7674	166	33	a	a	PRON
ap-7674	166	34	through	through	ADP
ap-7674	166	35	the	the	DET
ap-7674	166	36	hamiltonian	hamiltonian	ADJ
ap-7674	166	37	h	h	NOUN
ap-7674	166	38	=	=	SYM
ap-7674	166	39	(	(	PUNCT
ap-7674	166	40	p̂	p̂	X
ap-7674	166	41	+	+	CCONJ
ap-7674	167	1	qa)2	qa)2	PROPN
ap-7674	167	2	+	+	CCONJ
ap-7674	167	3	qφ	qφ	AUX
ap-7674	167	4	.	.	PUNCT
ap-7674	167	5	(	(	PUNCT
ap-7674	167	6	29	29	NUM
ap-7674	167	7	)	)	PUNCT
ap-7674	167	8	these	these	DET
ap-7674	167	9	electromagnetic	electromagnetic	ADJ
ap-7674	167	10	potentials	potential	NOUN
ap-7674	167	11	allow	allow	VERB
ap-7674	167	12	us	we	PRON
ap-7674	167	13	to	to	PART
ap-7674	167	14	define	define	VERB
ap-7674	167	15	the	the	DET
ap-7674	167	16	electric	electric	ADJ
ap-7674	167	17	and	and	CCONJ
ap-7674	167	18	magnetic	magnetic	ADJ
ap-7674	167	19	fields	field	NOUN
ap-7674	167	20	as	as	ADP
ap-7674	167	21	e	e	NOUN
ap-7674	167	22	=	=	PUNCT
ap-7674	167	23	−∇φ−	−∇φ−	PROPN
ap-7674	168	1	∂a	∂a	PROPN
ap-7674	168	2	∂t	∂t	PROPN
ap-7674	168	3	,	,	PUNCT
ap-7674	168	4	b	b	X
ap-7674	168	5	=	=	X
ap-7674	168	6	∇	∇	X
ap-7674	168	7	×	×	PROPN
ap-7674	168	8	a	a	X
ap-7674	168	9	,	,	PUNCT
ap-7674	168	10	(	(	PUNCT
ap-7674	168	11	30	30	NUM
ap-7674	168	12	)	)	PUNCT
ap-7674	168	13	definition	definition	NOUN
ap-7674	168	14	that	that	PRON
ap-7674	168	15	does	do	AUX
ap-7674	168	16	not	not	PART
ap-7674	168	17	change	change	VERB
ap-7674	168	18	if	if	SCONJ
ap-7674	168	19	the	the	DET
ap-7674	168	20	following	follow	VERB
ap-7674	168	21	transformations	transformation	NOUN
ap-7674	168	22	are	be	AUX
ap-7674	168	23	performed	perform	VERB
ap-7674	168	24	simultaneously	simultaneously	ADV
ap-7674	168	25	,	,	PUNCT
ap-7674	168	26	a	a	DET
ap-7674	168	27	→	→	SYM
ap-7674	168	28	a′	a′	NOUN
ap-7674	168	29	=	=	PUNCT
ap-7674	168	30	a	a	PRON
ap-7674	169	1	+	+	CCONJ
ap-7674	169	2	∇λ	∇λ	PROPN
ap-7674	169	3	,	,	PUNCT
ap-7674	169	4	φ	φ	PROPN
ap-7674	169	5	→	→	SYM
ap-7674	169	6	φ′	φ′	NUM
ap-7674	169	7	=	=	SYM
ap-7674	169	8	φ−	φ−	PROPN
ap-7674	169	9	∂λ	∂λ	PROPN
ap-7674	169	10	∂t	∂t	PROPN
ap-7674	169	11	,	,	PUNCT
ap-7674	169	12	(	(	PUNCT
ap-7674	169	13	31	31	NUM
ap-7674	169	14	)	)	PUNCT
ap-7674	169	15	where	where	SCONJ
ap-7674	169	16	λ	λ	X
ap-7674	169	17	=	=	SYM
ap-7674	169	18	λ(x	λ(x	PROPN
ap-7674	169	19	,	,	PUNCT
ap-7674	169	20	t	t	PROPN
ap-7674	169	21	)	)	PUNCT
ap-7674	169	22	is	be	AUX
ap-7674	169	23	a	a	DET
ap-7674	169	24	scalar	scalar	ADJ
ap-7674	169	25	function	function	NOUN
ap-7674	169	26	.	.	PUNCT
ap-7674	170	1	this	this	PRON
ap-7674	170	2	is	be	AUX
ap-7674	170	3	a	a	DET
ap-7674	170	4	statement	statement	NOUN
ap-7674	170	5	of	of	ADP
ap-7674	170	6	gauge	gauge	ADJ
ap-7674	170	7	invariance	invariance	NOUN
ap-7674	170	8	of	of	ADP
ap-7674	170	9	maxwell	maxwell	PROPN
ap-7674	170	10	’s	’s	PART
ap-7674	170	11	equations	equation	NOUN
ap-7674	170	12	.	.	PUNCT
ap-7674	171	1	in	in	ADP
ap-7674	171	2	quantum	quantum	ADJ
ap-7674	171	3	mechanics	mechanic	NOUN
ap-7674	171	4	,	,	PUNCT
ap-7674	171	5	the	the	DET
ap-7674	171	6	time	time	NOUN
ap-7674	171	7	-	-	PUNCT
ap-7674	171	8	dependent	dependent	ADJ
ap-7674	171	9	schrödinger	schrödinger	ADJ
ap-7674	171	10	equation	equation	NOUN
ap-7674	171	11	i	i	PRON
ap-7674	171	12	∂ψ	∂ψ	VERB
ap-7674	171	13	∂t	∂t	PROPN
ap-7674	171	14	=	=	PUNCT
ap-7674	171	15	hψ	hψ	PROPN
ap-7674	171	16	(	(	PUNCT
ap-7674	171	17	32	32	NUM
ap-7674	171	18	)	)	PUNCT
ap-7674	171	19	retains	retain	VERB
ap-7674	171	20	this	this	DET
ap-7674	171	21	feature	feature	NOUN
ap-7674	171	22	if	if	SCONJ
ap-7674	171	23	along	along	ADP
ap-7674	171	24	the	the	DET
ap-7674	171	25	transformations	transformation	NOUN
ap-7674	171	26	in	in	ADP
ap-7674	171	27	eq	eq	ADP
ap-7674	171	28	.	.	PUNCT
ap-7674	172	1	(	(	PUNCT
ap-7674	172	2	31	31	NUM
ap-7674	172	3	)	)	PUNCT
ap-7674	172	4	in	in	ADP
ap-7674	172	5	the	the	DET
ap-7674	172	6	hamiltonian	hamiltonian	NOUN
ap-7674	172	7	(	(	PUNCT
ap-7674	172	8	29	29	NUM
ap-7674	172	9	)	)	PUNCT
ap-7674	172	10	,	,	PUNCT
ap-7674	172	11	the	the	DET
ap-7674	172	12	wavefunction	wavefunction	NOUN
ap-7674	172	13	changes	change	NOUN
ap-7674	172	14	according	accord	VERB
ap-7674	172	15	to	to	ADP
ap-7674	172	16	the	the	DET
ap-7674	172	17	local	local	ADJ
ap-7674	172	18	phase	phase	NOUN
ap-7674	172	19	transformation	transformation	NOUN
ap-7674	172	20	ψ	ψ	X
ap-7674	172	21	→	→	SYM
ap-7674	172	22	ψ′	ψ′	PROPN
ap-7674	172	23	=	=	SYM
ap-7674	172	24	eiλψ	eiλψ	NOUN
ap-7674	172	25	.	.	PUNCT
ap-7674	173	1	(	(	PUNCT
ap-7674	173	2	33	33	NUM
ap-7674	173	3	)	)	PUNCT
ap-7674	173	4	in	in	ADP
ap-7674	173	5	our	our	PRON
ap-7674	173	6	example	example	NOUN
ap-7674	173	7	at	at	ADP
ap-7674	173	8	hand	hand	NOUN
ap-7674	173	9	,	,	PUNCT
ap-7674	173	10	this	this	DET
ap-7674	173	11	freedom	freedom	NOUN
ap-7674	173	12	allows	allow	VERB
ap-7674	173	13	us	we	PRON
ap-7674	173	14	to	to	PART
ap-7674	173	15	select	select	VERB
ap-7674	173	16	λ	λ	PROPN
ap-7674	173	17	in	in	ADP
ap-7674	173	18	such	such	DET
ap-7674	173	19	a	a	DET
ap-7674	173	20	way	way	NOUN
ap-7674	174	1	that	that	SCONJ
ap-7674	174	2	if	if	SCONJ
ap-7674	174	3	at	at	ADP
ap-7674	174	4	certain	certain	ADJ
ap-7674	174	5	instant	instant	NOUN
ap-7674	174	6	of	of	ADP
ap-7674	174	7	time	time	NOUN
ap-7674	174	8	ti	ti	X
ap-7674	174	9	the	the	DET
ap-7674	174	10	vector	vector	NOUN
ap-7674	174	11	potential	potential	NOUN
ap-7674	174	12	a	a	DET
ap-7674	174	13	̸=	̸=	PROPN
ap-7674	174	14	0	0	NUM
ap-7674	175	1	but	but	CCONJ
ap-7674	175	2	before	before	SCONJ
ap-7674	175	3	we	we	PRON
ap-7674	175	4	had	have	VERB
ap-7674	175	5	a	a	DET
ap-7674	175	6	=	=	SYM
ap-7674	175	7	0	0	NUM
ap-7674	175	8	,	,	PUNCT
ap-7674	175	9	one	one	PRON
ap-7674	175	10	can	can	AUX
ap-7674	175	11	still	still	ADV
ap-7674	175	12	have	have	VERB
ap-7674	175	13	a	a	DET
ap-7674	175	14	schrödinger	schrödinger	ADJ
ap-7674	175	15	equation	equation	NOUN
ap-7674	175	16	without	without	ADP
ap-7674	175	17	vector	vector	NOUN
ap-7674	175	18	potential	potential	NOUN
ap-7674	175	19	by	by	ADP
ap-7674	175	20	tuning	tune	VERB
ap-7674	175	21	appropriately	appropriately	ADV
ap-7674	175	22	the	the	DET
ap-7674	175	23	scalar	scalar	ADJ
ap-7674	175	24	potential	potential	NOUN
ap-7674	175	25	.	.	PUNCT
ap-7674	176	1	in	in	ADP
ap-7674	176	2	particular	particular	ADJ
ap-7674	176	3	,	,	PUNCT
ap-7674	176	4	by	by	ADP
ap-7674	176	5	selecting	select	VERB
ap-7674	176	6	λ(x	λ(x	PROPN
ap-7674	176	7	,	,	PUNCT
ap-7674	176	8	t	t	PROPN
ap-7674	176	9	)	)	PUNCT
ap-7674	176	10	=	=	SYM
ap-7674	176	11	ℓ(x)θ(t−	ℓ(x)θ(t−	PROPN
ap-7674	176	12	ti	ti	NOUN
ap-7674	176	13	)	)	PUNCT
ap-7674	176	14	,	,	PUNCT
ap-7674	176	15	(	(	PUNCT
ap-7674	176	16	34	34	NUM
ap-7674	176	17	)	)	PUNCT
ap-7674	176	18	we	we	PRON
ap-7674	176	19	can	can	AUX
ap-7674	176	20	shift	shift	VERB
ap-7674	176	21	the	the	DET
ap-7674	176	22	scalar	scalar	ADJ
ap-7674	176	23	potential	potential	NOUN
ap-7674	176	24	such	such	ADJ
ap-7674	176	25	that	that	SCONJ
ap-7674	176	26	the	the	DET
ap-7674	176	27	timedependent	timedependent	NOUN
ap-7674	176	28	equation	equation	NOUN
ap-7674	176	29	governing	govern	VERB
ap-7674	176	30	this	this	DET
ap-7674	176	31	state	state	NOUN
ap-7674	176	32	never	never	ADV
ap-7674	176	33	develops	develop	VERB
ap-7674	176	34	a	a	DET
ap-7674	176	35	vector	vector	NOUN
ap-7674	176	36	potential	potential	NOUN
ap-7674	176	37	to	to	PART
ap-7674	176	38	begin	begin	VERB
ap-7674	176	39	with	with	ADP
ap-7674	176	40	.	.	PUNCT
ap-7674	177	1	then	then	ADV
ap-7674	177	2	,	,	PUNCT
ap-7674	177	3	by	by	ADP
ap-7674	177	4	choosing	choose	VERB
ap-7674	177	5	a	a	DET
ap-7674	177	6	vector	vector	NOUN
ap-7674	177	7	potential	potential	ADJ
ap-7674	177	8	a(x	a(x	PROPN
ap-7674	177	9	,	,	PUNCT
ap-7674	177	10	t	t	PROPN
ap-7674	177	11	)	)	PUNCT
ap-7674	177	12	=	=	SYM
ap-7674	177	13	(	(	PUNCT
ap-7674	177	14	ax(x	ax(x	X
ap-7674	177	15	,	,	PUNCT
ap-7674	177	16	t	t	PROPN
ap-7674	177	17	)	)	PUNCT
ap-7674	177	18	,	,	PUNCT
ap-7674	177	19	0	0	NUM
ap-7674	177	20	,	,	PUNCT
ap-7674	177	21	0	0	NUM
ap-7674	177	22	)	)	PUNCT
ap-7674	177	23	where	where	SCONJ
ap-7674	177	24	ax(x	ax(x	ADV
ap-7674	177	25	,	,	PUNCT
ap-7674	177	26	t	t	PROPN
ap-7674	177	27	)	)	PUNCT
ap-7674	177	28	=	=	VERB
ap-7674	177	29	−θ(t	−θ(t	NOUN
ap-7674	177	30	−	−	NOUN
ap-7674	177	31	ti)∂xθ(x	ti)∂xθ(x	NOUN
ap-7674	177	32	)	)	PUNCT
ap-7674	177	33	,	,	PUNCT
ap-7674	177	34	we	we	PRON
ap-7674	177	35	observe	observe	VERB
ap-7674	177	36	that	that	SCONJ
ap-7674	177	37	the	the	DET
ap-7674	177	38	piecewise	piecewise	NOUN
ap-7674	177	39	function	function	NOUN
ap-7674	177	40	ϕf	ϕf	INTJ
ap-7674	177	41	(	(	PUNCT
ap-7674	177	42	x	x	NOUN
ap-7674	177	43	,	,	PUNCT
ap-7674	177	44	t	t	PROPN
ap-7674	177	45	)	)	PUNCT
ap-7674	177	46	=	=	PRON
ap-7674	177	47	{	{	PUNCT
ap-7674	177	48	ϕ(x	ϕ(x	PROPN
ap-7674	177	49	,	,	PUNCT
ap-7674	177	50	t	t	PROPN
ap-7674	177	51	)	)	PUNCT
ap-7674	177	52	0	0	NUM
ap-7674	178	1	≤	≤	PROPN
ap-7674	178	2	t	t	X
ap-7674	178	3	<	<	X
ap-7674	178	4	ti	ti	NOUN
ap-7674	178	5	,	,	PUNCT
ap-7674	178	6	ψ̄	ψ̄	PUNCT
ap-7674	178	7	(	(	PUNCT
ap-7674	178	8	x	x	SYM
ap-7674	178	9	4ti+1	4ti+1	X
ap-7674	178	10	)	)	PUNCT
ap-7674	178	11	t	t	NOUN
ap-7674	178	12	≥	≥	NUM
ap-7674	178	13	ti	ti	X
ap-7674	178	14	.	.	PROPN
ap-7674	178	15	(	(	PUNCT
ap-7674	178	16	35	35	NUM
ap-7674	178	17	)	)	PUNCT
ap-7674	178	18	becomes	become	VERB
ap-7674	178	19	a	a	DET
ap-7674	178	20	solution	solution	NOUN
ap-7674	178	21	of	of	ADP
ap-7674	178	22	i∂tϕf	i∂tϕf	NOUN
ap-7674	178	23	(	(	PUNCT
ap-7674	178	24	x	x	X
ap-7674	178	25	,	,	PUNCT
ap-7674	178	26	t	t	PROPN
ap-7674	178	27	)	)	PUNCT
ap-7674	178	28	=	=	PUNCT
ap-7674	179	1	[	[	X
ap-7674	179	2	−∂xx	−∂xx	X
ap-7674	179	3	+	+	PUNCT
ap-7674	179	4	vf	vf	X
ap-7674	179	5	(	(	PUNCT
ap-7674	179	6	x	x	X
ap-7674	179	7	,	,	PUNCT
ap-7674	179	8	t)]ϕf	t)]ϕf	PRON
ap-7674	179	9	(	(	PUNCT
ap-7674	179	10	x	x	NOUN
ap-7674	179	11	,	,	PUNCT
ap-7674	179	12	t	t	PROPN
ap-7674	179	13	)	)	PUNCT
ap-7674	179	14	=	=	NOUN
ap-7674	179	15	hϕf	hϕf	NOUN
ap-7674	179	16	(	(	PUNCT
ap-7674	179	17	x	x	X
ap-7674	179	18	,	,	PUNCT
ap-7674	179	19	t	t	PROPN
ap-7674	179	20	)	)	PUNCT
ap-7674	179	21	.	.	PUNCT
ap-7674	180	1	in	in	ADP
ap-7674	180	2	particular	particular	ADJ
ap-7674	180	3	,	,	PUNCT
ap-7674	180	4	the	the	DET
ap-7674	180	5	function	function	NOUN
ap-7674	180	6	ϕfϵ(x	ϕfϵ(x	PROPN
ap-7674	180	7	,	,	PUNCT
ap-7674	180	8	t	t	PROPN
ap-7674	180	9	)	)	PUNCT
ap-7674	180	10	=	=	PRON
ap-7674	180	11	{	{	PUNCT
ap-7674	180	12	ϕϵ(x	ϕϵ(x	PROPN
ap-7674	180	13	,	,	PUNCT
ap-7674	180	14	t	t	PROPN
ap-7674	180	15	)	)	PUNCT
ap-7674	180	16	0	0	NUM
ap-7674	181	1	≤	≤	PROPN
ap-7674	181	2	t	t	X
ap-7674	181	3	<	<	X
ap-7674	181	4	ti	ti	PROPN
ap-7674	181	5	,	,	PUNCT
ap-7674	181	6	ψ̄ϵ	ψ̄ϵ	X
ap-7674	181	7	(	(	PUNCT
ap-7674	181	8	x	x	SYM
ap-7674	181	9	4ti+1	4ti+1	X
ap-7674	181	10	)	)	PUNCT
ap-7674	181	11	t	t	NOUN
ap-7674	181	12	≥	≥	NUM
ap-7674	181	13	ti	ti	NOUN
ap-7674	181	14	,	,	PUNCT
ap-7674	181	15	(	(	PUNCT
ap-7674	181	16	36	36	NUM
ap-7674	181	17	)	)	PUNCT
ap-7674	181	18	before	before	SCONJ
ap-7674	181	19	the	the	DET
ap-7674	181	20	freezing	freezing	ADJ
ap-7674	181	21	time	time	NOUN
ap-7674	181	22	ti	ti	NOUN
ap-7674	181	23	is	be	AUX
ap-7674	181	24	just	just	ADV
ap-7674	181	25	a	a	DET
ap-7674	181	26	time	time	NOUN
ap-7674	181	27	dependent	dependent	ADJ
ap-7674	181	28	wave	wave	NOUN
ap-7674	181	29	packet	packet	NOUN
ap-7674	181	30	but	but	CCONJ
ap-7674	181	31	for	for	ADP
ap-7674	181	32	t	t	PROPN
ap-7674	181	33	>	>	X
ap-7674	181	34	ti	ti	PROPN
ap-7674	181	35	it	it	PRON
ap-7674	181	36	becomes	become	VERB
ap-7674	181	37	a	a	DET
ap-7674	181	38	frozen	frozen	ADJ
ap-7674	181	39	bound	bind	VERB
ap-7674	181	40	state	state	NOUN
ap-7674	181	41	in	in	ADP
ap-7674	181	42	the	the	DET
ap-7674	181	43	continuum	continuum	NOUN
ap-7674	181	44	satisfying	satisfy	VERB
ap-7674	181	45	the	the	DET
ap-7674	181	46	eigenvalue	eigenvalue	PROPN
ap-7674	181	47	equation	equation	NOUN
ap-7674	181	48	hϕfϵ	hϕfϵ	ADV
ap-7674	181	49	=	=	PUNCT
ap-7674	181	50	εϕfϵ	εϕfϵ	PROPN
ap-7674	181	51	,	,	PUNCT
ap-7674	181	52	where	where	SCONJ
ap-7674	181	53	ε	ε	PROPN
ap-7674	181	54	=	=	SYM
ap-7674	181	55	ϵ/(4ti+1)2	ϵ/(4ti+1)2	PROPN
ap-7674	181	56	.	.	PROPN
ap-7674	182	1	in	in	ADP
ap-7674	182	2	figure	figure	NOUN
ap-7674	182	3	4	4	NUM
ap-7674	182	4	we	we	PRON
ap-7674	182	5	plot	plot	VERB
ap-7674	182	6	the	the	DET
ap-7674	182	7	potential	potential	ADJ
ap-7674	182	8	vf	vf	X
ap-7674	182	9	(	(	PUNCT
ap-7674	182	10	top	top	NOUN
ap-7674	182	11	)	)	PUNCT
ap-7674	182	12	,	,	PUNCT
ap-7674	182	13	the	the	DET
ap-7674	182	14	freezable	freezable	ADJ
ap-7674	182	15	bound	bind	VERB
ap-7674	182	16	state	state	NOUN
ap-7674	182	17	in	in	ADP
ap-7674	182	18	the	the	DET
ap-7674	182	19	continuum	continuum	ADJ
ap-7674	182	20	ϕfϵ	ϕfϵ	PROPN
ap-7674	182	21	(	(	PUNCT
ap-7674	182	22	center	center	NOUN
ap-7674	182	23	)	)	PUNCT
ap-7674	182	24	and	and	CCONJ
ap-7674	182	25	a	a	DET
ap-7674	182	26	scattering	scatter	VERB
ap-7674	182	27	state	state	NOUN
ap-7674	182	28	ϕf	ϕf	ADJ
ap-7674	182	29	(	(	PUNCT
ap-7674	182	30	bottom	bottom	NOUN
ap-7674	182	31	)	)	PUNCT
ap-7674	182	32	at	at	ADP
ap-7674	182	33	t	t	NOUN
ap-7674	182	34	=	=	NUM
ap-7674	182	35	0.8	0.8	NUM
ap-7674	182	36	,	,	PUNCT
ap-7674	182	37	t	t	NOUN
ap-7674	182	38	=	=	SYM
ap-7674	182	39	1	1	NUM
ap-7674	182	40	and	and	CCONJ
ap-7674	182	41	t	t	NOUN
ap-7674	182	42	=	=	NUM
ap-7674	182	43	1.8	1.8	NUM
ap-7674	182	44	,	,	PUNCT
ap-7674	182	45	the	the	DET
ap-7674	182	46	freezing	freezing	ADJ
ap-7674	182	47	time	time	NOUN
ap-7674	182	48	is	be	AUX
ap-7674	182	49	ti	ti	NOUN
ap-7674	182	50	=	=	SYM
ap-7674	182	51	1	1	NUM
ap-7674	182	52	,	,	PUNCT
ap-7674	182	53	note	note	VERB
ap-7674	182	54	that	that	SCONJ
ap-7674	182	55	after	after	ADP
ap-7674	182	56	t	t	PROPN
ap-7674	182	57	=	=	SYM
ap-7674	182	58	1	1	NUM
ap-7674	182	59	neither	neither	CCONJ
ap-7674	182	60	the	the	DET
ap-7674	182	61	potential	potential	NOUN
ap-7674	182	62	nor	nor	CCONJ
ap-7674	182	63	the	the	DET
ap-7674	182	64	wavefunctions	wavefunction	NOUN
ap-7674	182	65	evolve	evolve	VERB
ap-7674	182	66	.	.	PUNCT
ap-7674	183	1	4	4	X
ap-7674	183	2	.	.	X
ap-7674	183	3	final	final	ADJ
ap-7674	183	4	remarks	remark	NOUN
ap-7674	183	5	in	in	ADP
ap-7674	183	6	this	this	DET
ap-7674	183	7	article	article	NOUN
ap-7674	183	8	,	,	PUNCT
ap-7674	183	9	we	we	PRON
ap-7674	183	10	apply	apply	VERB
ap-7674	183	11	a	a	DET
ap-7674	183	12	confluent	confluent	ADJ
ap-7674	183	13	supersymmetric	supersymmetric	ADJ
ap-7674	183	14	transformation	transformation	NOUN
ap-7674	183	15	to	to	ADP
ap-7674	183	16	the	the	DET
ap-7674	183	17	standard	standard	ADJ
ap-7674	183	18	step	step	NOUN
ap-7674	183	19	-	-	PUNCT
ap-7674	183	20	potential	potential	NOUN
ap-7674	183	21	defined	define	VERB
ap-7674	183	22	in	in	ADP
ap-7674	183	23	the	the	DET
ap-7674	183	24	whole	whole	ADJ
ap-7674	183	25	real	real	ADJ
ap-7674	183	26	axis	axis	NOUN
ap-7674	183	27	.	.	PUNCT
ap-7674	184	1	the	the	DET
ap-7674	184	2	seed	seed	NOUN
ap-7674	184	3	solution	solution	NOUN
ap-7674	184	4	that	that	PRON
ap-7674	184	5	we	we	PRON
ap-7674	184	6	use	use	VERB
ap-7674	184	7	makes	make	VERB
ap-7674	184	8	it	it	PRON
ap-7674	184	9	possible	possible	ADJ
ap-7674	184	10	to	to	PART
ap-7674	184	11	embed	embed	VERB
ap-7674	184	12	a	a	DET
ap-7674	184	13	localized	localize	VERB
ap-7674	184	14	squared	square	VERB
ap-7674	184	15	integrable	integrable	ADJ
ap-7674	184	16	state	state	NOUN
ap-7674	184	17	in	in	ADP
ap-7674	184	18	the	the	DET
ap-7674	184	19	continuum	continuum	PROPN
ap-7674	184	20	spectrum	spectrum	NOUN
ap-7674	184	21	,	,	PUNCT
ap-7674	184	22	a	a	DET
ap-7674	184	23	bic	bic	NOUN
ap-7674	184	24	.	.	PUNCT
ap-7674	185	1	we	we	PRON
ap-7674	185	2	have	have	AUX
ap-7674	185	3	provided	provide	VERB
ap-7674	185	4	the	the	DET
ap-7674	185	5	system	system	NOUN
ap-7674	185	6	,	,	PUNCT
ap-7674	185	7	potential	potential	NOUN
ap-7674	185	8	,	,	PUNCT
ap-7674	185	9	and	and	CCONJ
ap-7674	185	10	states	state	NOUN
ap-7674	185	11	,	,	PUNCT
ap-7674	185	12	with	with	ADP
ap-7674	185	13	time	time	NOUN
ap-7674	185	14	evolution	evolution	NOUN
ap-7674	185	15	through	through	ADP
ap-7674	185	16	a	a	DET
ap-7674	185	17	point	point	NOUN
ap-7674	185	18	transformation	transformation	NOUN
ap-7674	185	19	.	.	PUNCT
ap-7674	186	1	nevertheless	nevertheless	ADV
ap-7674	186	2	,	,	PUNCT
ap-7674	186	3	we	we	PRON
ap-7674	186	4	notice	notice	VERB
ap-7674	186	5	that	that	SCONJ
ap-7674	186	6	the	the	DET
ap-7674	186	7	wrinkles	wrinkle	NOUN
ap-7674	186	8	in	in	ADP
ap-7674	186	9	the	the	DET
ap-7674	186	10	potential	potential	NOUN
ap-7674	186	11	as	as	SCONJ
ap-7674	186	12	x	x	X
ap-7674	186	13	→	→	SYM
ap-7674	186	14	∞	∞	NUM
ap-7674	186	15	still	still	ADV
ap-7674	186	16	localize	localize	VERB
ap-7674	186	17	a	a	DET
ap-7674	186	18	bic	bic	NOUN
ap-7674	186	19	at	at	ADP
ap-7674	186	20	every	every	DET
ap-7674	186	21	fixed	fix	VERB
ap-7674	186	22	time	time	NOUN
ap-7674	186	23	.	.	PUNCT
ap-7674	187	1	next	next	ADV
ap-7674	187	2	,	,	PUNCT
ap-7674	187	3	we	we	PRON
ap-7674	187	4	allow	allow	VERB
ap-7674	187	5	the	the	DET
ap-7674	187	6	evolution	evolution	NOUN
ap-7674	187	7	of	of	ADP
ap-7674	187	8	the	the	DET
ap-7674	187	9	system	system	NOUN
ap-7674	187	10	continue	continue	VERB
ap-7674	187	11	and	and	CCONJ
ap-7674	187	12	at	at	ADP
ap-7674	187	13	a	a	DET
ap-7674	187	14	given	give	VERB
ap-7674	187	15	stopping	stopping	NOUN
ap-7674	187	16	time	time	NOUN
ap-7674	187	17	ti	ti	NOUN
ap-7674	187	18	,	,	PUNCT
ap-7674	187	19	we	we	PRON
ap-7674	187	20	freeze	freeze	VERB
ap-7674	187	21	the	the	DET
ap-7674	187	22	potential	potential	NOUN
ap-7674	187	23	and	and	CCONJ
ap-7674	187	24	fix	fix	VERB
ap-7674	187	25	it	it	PRON
ap-7674	187	26	stationary	stationary	ADJ
ap-7674	187	27	.	.	PUNCT
ap-7674	188	1	upon	upon	SCONJ
ap-7674	188	2	exploring	explore	VERB
ap-7674	188	3	the	the	DET
ap-7674	188	4	behavior	behavior	NOUN
ap-7674	188	5	of	of	ADP
ap-7674	188	6	the	the	DET
ap-7674	188	7	bic	bic	NOUN
ap-7674	188	8	with	with	ADP
ap-7674	188	9	this	this	DET
ap-7674	188	10	static	static	ADJ
ap-7674	188	11	potential	potential	NOUN
ap-7674	188	12	after	after	ADP
ap-7674	188	13	the	the	DET
ap-7674	188	14	freeze	freeze	VERB
ap-7674	188	15	-	-	PUNCT
ap-7674	188	16	out	out	ADP
ap-7674	188	17	time	time	NOUN
ap-7674	188	18	,	,	PUNCT
ap-7674	188	19	we	we	PRON
ap-7674	188	20	surprisingly	surprisingly	ADV
ap-7674	188	21	observe	observe	VERB
ap-7674	188	22	that	that	SCONJ
ap-7674	188	23	it	it	PRON
ap-7674	188	24	does	do	AUX
ap-7674	188	25	not	not	PART
ap-7674	188	26	correspond	correspond	VERB
ap-7674	188	27	to	to	ADP
ap-7674	188	28	a	a	DET
ap-7674	188	29	solution	solution	NOUN
ap-7674	188	30	of	of	ADP
ap-7674	188	31	the	the	DET
ap-7674	188	32	stationary	stationary	ADJ
ap-7674	188	33	schrödinger	schrödinger	ADJ
ap-7674	188	34	equation	equation	NOUN
ap-7674	188	35	,	,	PUNCT
ap-7674	188	36	but	but	CCONJ
ap-7674	188	37	instead	instead	ADV
ap-7674	188	38	it	it	PRON
ap-7674	188	39	develops	develop	VERB
ap-7674	188	40	a	a	DET
ap-7674	188	41	geometric	geometric	ADJ
ap-7674	188	42	phase	phase	NOUN
ap-7674	188	43	encoded	encode	VERB
ap-7674	188	44	in	in	ADP
ap-7674	188	45	a	a	DET
ap-7674	188	46	vector	vector	NOUN
ap-7674	188	47	potential	potential	NOUN
ap-7674	188	48	which	which	PRON
ap-7674	188	49	does	do	AUX
ap-7674	188	50	not	not	PART
ap-7674	188	51	generate	generate	VERB
ap-7674	188	52	any	any	DET
ap-7674	188	53	magnetic	magnetic	ADJ
ap-7674	188	54	field	field	NOUN
ap-7674	188	55	.	.	PUNCT
ap-7674	189	1	thus	thus	ADV
ap-7674	189	2	,	,	PUNCT
ap-7674	189	3	by	by	ADP
ap-7674	189	4	gauging	gauge	VERB
ap-7674	189	5	out	out	ADP
ap-7674	189	6	this	this	DET
ap-7674	189	7	geometric	geometric	ADJ
ap-7674	189	8	phase	phase	NOUN
ap-7674	189	9	,	,	PUNCT
ap-7674	189	10	the	the	DET
ap-7674	189	11	resulting	result	VERB
ap-7674	189	12	state	state	NOUN
ap-7674	189	13	becomes	become	VERB
ap-7674	189	14	indeed	indeed	ADV
ap-7674	189	15	an	an	DET
ap-7674	189	16	eigenstate	eigenstate	NOUN
ap-7674	189	17	of	of	ADP
ap-7674	189	18	the	the	DET
ap-7674	189	19	frozen	frozen	ADJ
ap-7674	189	20	hamiltonian	hamiltonian	NOUN
ap-7674	189	21	.	.	PUNCT
ap-7674	190	1	we	we	PRON
ap-7674	190	2	call	call	VERB
ap-7674	190	3	this	this	DET
ap-7674	190	4	state	state	NOUN
ap-7674	190	5	a	a	DET
ap-7674	190	6	freezable	freezable	ADJ
ap-7674	190	7	bound	bind	VERB
ap-7674	190	8	state	state	NOUN
ap-7674	190	9	in	in	ADP
ap-7674	190	10	the	the	DET
ap-7674	190	11	continuum	continuum	PROPN
ap-7674	190	12	.	.	PUNCT
ap-7674	191	1	further	further	ADJ
ap-7674	191	2	examples	example	NOUN
ap-7674	191	3	are	be	AUX
ap-7674	191	4	being	be	AUX
ap-7674	191	5	examined	examine	VERB
ap-7674	191	6	under	under	ADP
ap-7674	191	7	the	the	DET
ap-7674	191	8	strategy	strategy	NOUN
ap-7674	191	9	presented	present	VERB
ap-7674	191	10	in	in	ADP
ap-7674	191	11	this	this	DET
ap-7674	191	12	work	work	NOUN
ap-7674	191	13	,	,	PUNCT
ap-7674	191	14	including	include	VERB
ap-7674	191	15	vector	vector	NOUN
ap-7674	191	16	potentials	potential	NOUN
ap-7674	191	17	which	which	PRON
ap-7674	191	18	might	might	AUX
ap-7674	191	19	be	be	AUX
ap-7674	191	20	relevant	relevant	ADJ
ap-7674	191	21	for	for	ADP
ap-7674	191	22	pseudo	pseudo	NOUN
ap-7674	191	23	-	-	ADJ
ap-7674	191	24	relativistic	relativistic	ADJ
ap-7674	191	25	systems	system	NOUN
ap-7674	191	26	.	.	PUNCT
ap-7674	192	1	60	60	NUM
ap-7674	192	2	vol	vol	NOUN
ap-7674	192	3	.	.	PUNCT
ap-7674	193	1	62	62	NUM
ap-7674	193	2	no	no	INTJ
ap-7674	193	3	.	.	PUNCT
ap-7674	194	1	1/2022	1/2022	NUM
ap-7674	194	2	step	step	NOUN
ap-7674	194	3	-	-	PUNCT
ap-7674	194	4	like	like	ADJ
ap-7674	194	5	potential	potential	NOUN
ap-7674	194	6	with	with	ADP
ap-7674	194	7	a	a	DET
ap-7674	194	8	freezable	freezable	ADJ
ap-7674	194	9	bound	bind	VERB
ap-7674	194	10	state	state	NOUN
ap-7674	194	11	in	in	ADP
ap-7674	194	12	the	the	DET
ap-7674	194	13	continuum	continuum	ADJ
ap-7674	194	14	figure	figure	NOUN
ap-7674	194	15	4	4	NUM
ap-7674	194	16	.	.	PUNCT
ap-7674	195	1	behavior	behavior	NOUN
ap-7674	195	2	of	of	ADP
ap-7674	195	3	the	the	DET
ap-7674	195	4	potential	potential	ADJ
ap-7674	195	5	vf	vf	X
ap-7674	195	6	(	(	PUNCT
ap-7674	195	7	x	x	PROPN
ap-7674	195	8	,	,	PUNCT
ap-7674	195	9	t	t	PROPN
ap-7674	195	10	)	)	PUNCT
ap-7674	195	11	(	(	PUNCT
ap-7674	195	12	top	top	NOUN
ap-7674	195	13	)	)	PUNCT
ap-7674	195	14	,	,	PUNCT
ap-7674	195	15	the	the	DET
ap-7674	195	16	fbic	fbic	ADJ
ap-7674	195	17	ϕf	ϕf	NOUN
ap-7674	195	18	ϵ(x	ϵ(x	PROPN
ap-7674	195	19	,	,	PUNCT
ap-7674	195	20	t	t	PROPN
ap-7674	195	21	)	)	PUNCT
ap-7674	195	22	(	(	PUNCT
ap-7674	195	23	center	center	NOUN
ap-7674	195	24	)	)	PUNCT
ap-7674	195	25	and	and	CCONJ
ap-7674	195	26	the	the	DET
ap-7674	195	27	scattering	scatter	VERB
ap-7674	195	28	state	state	NOUN
ap-7674	195	29	ϕf	ϕf	INTJ
ap-7674	195	30	(	(	PUNCT
ap-7674	195	31	x	x	PROPN
ap-7674	195	32	,	,	PUNCT
ap-7674	195	33	t	t	PROPN
ap-7674	195	34	)	)	PUNCT
ap-7674	195	35	(	(	PUNCT
ap-7674	195	36	bottom	bottom	NOUN
ap-7674	195	37	)	)	PUNCT
ap-7674	195	38	at	at	ADP
ap-7674	195	39	the	the	DET
ap-7674	195	40	times	time	NOUN
ap-7674	195	41	t	t	NOUN
ap-7674	195	42	=	=	NUM
ap-7674	195	43	0.8	0.8	NUM
ap-7674	195	44	,	,	PUNCT
ap-7674	195	45	t	t	NOUN
ap-7674	195	46	=	=	SYM
ap-7674	195	47	1	1	NUM
ap-7674	195	48	,	,	PUNCT
ap-7674	195	49	and	and	CCONJ
ap-7674	195	50	t	t	X
ap-7674	195	51	=	=	NUM
ap-7674	195	52	1.8	1.8	NUM
ap-7674	195	53	.	.	PUNCT
ap-7674	196	1	the	the	DET
ap-7674	196	2	freezing	freezing	ADJ
ap-7674	196	3	time	time	NOUN
ap-7674	196	4	is	be	AUX
ap-7674	196	5	ti	ti	NOUN
ap-7674	196	6	=	=	SYM
ap-7674	196	7	1	1	NUM
ap-7674	196	8	.	.	PUNCT
ap-7674	197	1	the	the	DET
ap-7674	197	2	scale	scale	NOUN
ap-7674	197	3	of	of	ADP
ap-7674	197	4	the	the	DET
ap-7674	197	5	graph	graph	NOUN
ap-7674	197	6	is	be	AUX
ap-7674	197	7	fixed	fix	VERB
ap-7674	197	8	by	by	ADP
ap-7674	197	9	v̂	v̂	NOUN
ap-7674	197	10	=	=	SYM
ap-7674	197	11	5	5	NUM
ap-7674	197	12	,	,	PUNCT
ap-7674	197	13	k	k	NOUN
ap-7674	197	14	=	=	SYM
ap-7674	197	15	1	1	NUM
ap-7674	197	16	,	,	PUNCT
ap-7674	197	17	κ	κ	X
ap-7674	197	18	=	=	SYM
ap-7674	197	19	2	2	NUM
ap-7674	197	20	,	,	PUNCT
ap-7674	197	21	q	q	NOUN
ap-7674	197	22	=	=	NOUN
ap-7674	197	23	√	√	NUM
ap-7674	197	24	2	2	NUM
ap-7674	197	25	and	and	CCONJ
ap-7674	197	26	ω	ω	NUM
ap-7674	197	27	=	=	SYM
ap-7674	197	28	4	4	X
ap-7674	197	29	.	.	PUNCT
ap-7674	198	1	acknowledgements	acknowledgement	VERB
ap-7674	198	2	the	the	DET
ap-7674	198	3	authors	author	NOUN
ap-7674	198	4	acknowledge	acknowledge	VERB
ap-7674	198	5	consejo	consejo	PROPN
ap-7674	198	6	nacional	nacional	PROPN
ap-7674	198	7	de	de	ADP
ap-7674	198	8	ciencia	ciencia	PROPN
ap-7674	198	9	y	y	PROPN
ap-7674	198	10	tecnología	tecnología	PROPN
ap-7674	198	11	(	(	PUNCT
ap-7674	198	12	conacyt	conacyt	NOUN
ap-7674	198	13	-	-	PUNCT
ap-7674	198	14	méxico	méxico	NOUN
ap-7674	198	15	)	)	PUNCT
ap-7674	198	16	under	under	ADP
ap-7674	198	17	grant	grant	PROPN
ap-7674	198	18	fordecyt	fordecyt	PROPN
ap-7674	198	19	-	-	PUNCT
ap-7674	198	20	pronaces/61533/2020	pronaces/61533/2020	NOUN
ap-7674	198	21	.	.	PUNCT
ap-7674	199	1	ig	ig	PROPN
ap-7674	199	2	and	and	CCONJ
ap-7674	199	3	ar	ar	PROPN
ap-7674	199	4	acknowledge	acknowledge	VERB
ap-7674	199	5	valuable	valuable	ADJ
ap-7674	199	6	discussions	discussion	NOUN
ap-7674	199	7	with	with	ADP
ap-7674	199	8	juan	juan	PROPN
ap-7674	199	9	angel	angel	PROPN
ap-7674	199	10	casimiro	casimiro	PROPN
ap-7674	199	11	olivares	olivares	PROPN
ap-7674	199	12	.	.	PUNCT
ap-7674	200	1	references	reference	NOUN
ap-7674	200	2	[	[	X
ap-7674	200	3	1	1	X
ap-7674	200	4	]	]	PUNCT
ap-7674	200	5	j.	j.	PROPN
ap-7674	200	6	von	von	PROPN
ap-7674	200	7	neuman	neuman	PROPN
ap-7674	200	8	,	,	PUNCT
ap-7674	200	9	e.	e.	PROPN
ap-7674	200	10	wigner	wigner	PROPN
ap-7674	200	11	.	.	PUNCT
ap-7674	201	1	uber	uber	ADJ
ap-7674	201	2	merkwürdige	merkwürdige	PROPN
ap-7674	201	3	diskrete	diskrete	PROPN
ap-7674	201	4	eigenwerte	eigenwerte	NOUN
ap-7674	201	5	.	.	PUNCT
ap-7674	202	1	uber	uber	PROPN
ap-7674	202	2	das	das	PROPN
ap-7674	202	3	verhalten	verhalten	VERB
ap-7674	202	4	von	von	PROPN
ap-7674	202	5	eigenwerten	eigenwerten	NOUN
ap-7674	202	6	bei	bei	NOUN
ap-7674	202	7	adiabatischen	adiabatischen	ADV
ap-7674	202	8	prozessen	prozessen	VERB
ap-7674	202	9	.	.	PUNCT
ap-7674	203	1	physikalische	physikalische	NOUN
ap-7674	203	2	zeitschrift	zeitschrift	NOUN
ap-7674	203	3	30:467–470	30:467–470	PROPN
ap-7674	203	4	,	,	PUNCT
ap-7674	203	5	1929	1929	NUM
ap-7674	203	6	.	.	PUNCT
ap-7674	204	1	https	https	NOUN
ap-7674	204	2	:	:	PUNCT
ap-7674	204	3	//ui.adsabs.harvard.edu	//ui.adsabs.harvard.edu	PUNCT
ap-7674	204	4	/	/	SYM
ap-7674	204	5	abs/1929phyz	abs/1929phyz	ADJ
ap-7674	204	6	...	...	PUNCT
ap-7674	204	7	30	30	NUM
ap-7674	204	8	..	..	PUNCT
ap-7674	204	9	467v	467v	PROPN
ap-7674	204	10	provided	provide	VERB
ap-7674	204	11	by	by	ADP
ap-7674	204	12	the	the	DET
ap-7674	204	13	sao	sao	PROPN
ap-7674	204	14	/	/	SYM
ap-7674	204	15	nasa	nasa	PROPN
ap-7674	204	16	astrophysics	astrophysic	NOUN
ap-7674	204	17	data	datum	NOUN
ap-7674	204	18	system	system	NOUN
ap-7674	204	19	.	.	PUNCT
ap-7674	205	1	[	[	X
ap-7674	205	2	2	2	X
ap-7674	205	3	]	]	PUNCT
ap-7674	205	4	b.	b.	PROPN
ap-7674	205	5	simon	simon	PROPN
ap-7674	205	6	.	.	PUNCT
ap-7674	206	1	on	on	ADP
ap-7674	206	2	positive	positive	ADJ
ap-7674	206	3	eigenvalues	eigenvalue	NOUN
ap-7674	206	4	of	of	ADP
ap-7674	206	5	one	one	NUM
ap-7674	206	6	-	-	PUNCT
ap-7674	206	7	body	body	NOUN
ap-7674	206	8	schrödinger	schrödinger	ADJ
ap-7674	206	9	operators	operator	NOUN
ap-7674	206	10	.	.	PUNCT
ap-7674	207	1	communications	communication	NOUN
ap-7674	207	2	on	on	ADP
ap-7674	207	3	pure	pure	ADJ
ap-7674	207	4	and	and	CCONJ
ap-7674	207	5	applied	apply	VERB
ap-7674	207	6	mathematics	mathematic	NOUN
ap-7674	207	7	22:531–538	22:531–538	NUM
ap-7674	207	8	,	,	PUNCT
ap-7674	207	9	1969	1969	NUM
ap-7674	207	10	.	.	PUNCT
ap-7674	208	1	https://doi.org/10.1002/cpa.3160220405	https://doi.org/10.1002/cpa.3160220405	NOUN
ap-7674	208	2	.	.	PUNCT
ap-7674	209	1	[	[	X
ap-7674	209	2	3	3	X
ap-7674	209	3	]	]	X
ap-7674	209	4	f.	f.	PROPN
ap-7674	209	5	h.	h.	PROPN
ap-7674	209	6	stillinger	stillinger	PROPN
ap-7674	209	7	,	,	PUNCT
ap-7674	209	8	d.	d.	PROPN
ap-7674	209	9	r.	r.	PROPN
ap-7674	209	10	herrick	herrick	PROPN
ap-7674	209	11	.	.	PUNCT
ap-7674	210	1	bound	bind	VERB
ap-7674	210	2	states	state	NOUN
ap-7674	210	3	in	in	ADP
ap-7674	210	4	the	the	DET
ap-7674	210	5	continuum	continuum	PROPN
ap-7674	210	6	.	.	PUNCT
ap-7674	211	1	physical	physical	ADJ
ap-7674	211	2	review	review	NOUN
ap-7674	211	3	a	a	DET
ap-7674	211	4	11:446–454	11:446–454	NUM
ap-7674	211	5	,	,	PUNCT
ap-7674	211	6	1975	1975	NUM
ap-7674	211	7	.	.	PUNCT
ap-7674	212	1	https://doi.org/10.1103/physreva.11.446	https://doi.org/10.1103/physreva.11.446	NOUN
ap-7674	212	2	.	.	PUNCT
ap-7674	213	1	[	[	X
ap-7674	213	2	4	4	X
ap-7674	213	3	]	]	PUNCT
ap-7674	213	4	b.	b.	NOUN
ap-7674	213	5	gazdy	gazdy	NOUN
ap-7674	213	6	.	.	PUNCT
ap-7674	214	1	on	on	ADP
ap-7674	214	2	the	the	DET
ap-7674	214	3	bound	bind	VERB
ap-7674	214	4	states	state	NOUN
ap-7674	214	5	in	in	ADP
ap-7674	214	6	the	the	DET
ap-7674	214	7	continuum	continuum	PROPN
ap-7674	214	8	.	.	PUNCT
ap-7674	215	1	physics	physics	NOUN
ap-7674	215	2	letters	letter	NOUN
ap-7674	215	3	a	a	DET
ap-7674	215	4	61(2):89–90	61(2):89–90	NUM
ap-7674	215	5	,	,	PUNCT
ap-7674	215	6	1977	1977	NUM
ap-7674	215	7	.	.	PUNCT
ap-7674	216	1	https://doi.org/10.1016/0375-9601(77)90845-3	https://doi.org/10.1016/0375-9601(77)90845-3	PROPN
ap-7674	216	2	.	.	PUNCT
ap-7674	217	1	[	[	X
ap-7674	217	2	5	5	NUM
ap-7674	217	3	]	]	PUNCT
ap-7674	217	4	m.	m.	NOUN
ap-7674	217	5	klaus	klaus	PROPN
ap-7674	217	6	.	.	PUNCT
ap-7674	218	1	asymptotic	asymptotic	ADJ
ap-7674	218	2	behavior	behavior	NOUN
ap-7674	218	3	of	of	ADP
ap-7674	218	4	jost	jost	NOUN
ap-7674	218	5	functions	function	NOUN
ap-7674	218	6	near	near	ADP
ap-7674	218	7	resonance	resonance	NOUN
ap-7674	218	8	points	point	NOUN
ap-7674	218	9	for	for	ADP
ap-7674	218	10	wigner	wigner	NOUN
ap-7674	218	11	–	–	PUNCT
ap-7674	218	12	von	von	PROPN
ap-7674	218	13	neumann	neumann	PROPN
ap-7674	218	14	type	type	PROPN
ap-7674	218	15	potentials	potential	NOUN
ap-7674	218	16	.	.	PUNCT
ap-7674	219	1	journal	journal	PROPN
ap-7674	219	2	of	of	ADP
ap-7674	219	3	mathematical	mathematical	ADJ
ap-7674	219	4	physics	physics	NOUN
ap-7674	219	5	32:163–174	32:163–174	NUM
ap-7674	219	6	,	,	PUNCT
ap-7674	219	7	1991	1991	NUM
ap-7674	219	8	.	.	PUNCT
ap-7674	220	1	https://doi.org/10.1063/1.529140	https://doi.org/10.1063/1.529140	ADJ
ap-7674	220	2	.	.	PUNCT
ap-7674	221	1	[	[	X
ap-7674	221	2	6	6	NUM
ap-7674	221	3	]	]	PUNCT
ap-7674	221	4	i.	i.	PROPN
ap-7674	221	5	m.	m.	PROPN
ap-7674	221	6	gel’fand	gel’fand	PROPN
ap-7674	221	7	,	,	PUNCT
ap-7674	221	8	b.	b.	PROPN
ap-7674	221	9	m.	m.	PROPN
ap-7674	221	10	levitan	levitan	PROPN
ap-7674	221	11	.	.	PUNCT
ap-7674	222	1	on	on	ADP
ap-7674	222	2	the	the	DET
ap-7674	222	3	determination	determination	NOUN
ap-7674	222	4	of	of	ADP
ap-7674	222	5	a	a	DET
ap-7674	222	6	differential	differential	ADJ
ap-7674	222	7	equation	equation	NOUN
ap-7674	222	8	from	from	ADP
ap-7674	222	9	its	its	PRON
ap-7674	222	10	spectral	spectral	ADJ
ap-7674	222	11	function	function	NOUN
ap-7674	222	12	.	.	PUNCT
ap-7674	223	1	izvestiya	izvestiya	PROPN
ap-7674	223	2	akademii	akademii	PROPN
ap-7674	223	3	nauk	nauk	PROPN
ap-7674	223	4	sssr	sssr	PROPN
ap-7674	223	5	seriya	seriya	PROPN
ap-7674	223	6	matematicheskaya	matematicheskaya	PROPN
ap-7674	223	7	15(4):309–360	15(4):309–360	NUM
ap-7674	223	8	,	,	PUNCT
ap-7674	223	9	1951	1951	NUM
ap-7674	223	10	.	.	PUNCT
ap-7674	224	1	[	[	X
ap-7674	224	2	7	7	X
ap-7674	224	3	]	]	PUNCT
ap-7674	224	4	t.	t.	PROPN
ap-7674	224	5	a.	a.	PROPN
ap-7674	224	6	weber	weber	PROPN
ap-7674	224	7	,	,	PUNCT
ap-7674	224	8	d.	d.	PROPN
ap-7674	224	9	l.	l.	PROPN
ap-7674	224	10	pursey	pursey	PROPN
ap-7674	224	11	.	.	PUNCT
ap-7674	225	1	continuum	continuum	ADJ
ap-7674	225	2	bound	bind	VERB
ap-7674	225	3	states	state	NOUN
ap-7674	225	4	.	.	PUNCT
ap-7674	226	1	physical	physical	ADJ
ap-7674	226	2	review	review	NOUN
ap-7674	226	3	a	a	DET
ap-7674	226	4	50:4478–4487	50:4478–4487	NUM
ap-7674	226	5	,	,	PUNCT
ap-7674	226	6	1994	1994	NUM
ap-7674	226	7	.	.	PUNCT
ap-7674	227	1	https://doi.org/10.1103/physreva.50.4478	https://doi.org/10.1103/physreva.50.4478	PROPN
ap-7674	227	2	.	.	PUNCT
ap-7674	228	1	[	[	X
ap-7674	228	2	8	8	NUM
ap-7674	228	3	]	]	PUNCT
ap-7674	228	4	a.	a.	NOUN
ap-7674	228	5	a.	a.	NOUN
ap-7674	228	6	stahlhofen	stahlhofen	NOUN
ap-7674	228	7	.	.	PUNCT
ap-7674	229	1	completely	completely	ADV
ap-7674	229	2	transparent	transparent	ADJ
ap-7674	229	3	potentials	potential	NOUN
ap-7674	229	4	for	for	ADP
ap-7674	229	5	the	the	DET
ap-7674	229	6	schrödinger	schrödinger	ADJ
ap-7674	229	7	equation	equation	NOUN
ap-7674	229	8	.	.	PUNCT
ap-7674	230	1	physical	physical	ADJ
ap-7674	230	2	review	review	NOUN
ap-7674	230	3	a	a	DET
ap-7674	230	4	51:934–943	51:934–943	PROPN
ap-7674	230	5	,	,	PUNCT
ap-7674	230	6	1995	1995	NUM
ap-7674	230	7	.	.	PUNCT
ap-7674	231	1	https://doi.org/10.1103/physreva.51.934	https://doi.org/10.1103/physreva.51.934	X
ap-7674	231	2	.	.	PUNCT
ap-7674	232	1	[	[	X
ap-7674	232	2	9	9	NUM
ap-7674	232	3	]	]	X
ap-7674	232	4	d.	d.	PROPN
ap-7674	232	5	lohr	lohr	PROPN
ap-7674	232	6	,	,	PUNCT
ap-7674	232	7	e.	e.	PROPN
ap-7674	232	8	hernandez	hernandez	PROPN
ap-7674	232	9	,	,	PUNCT
ap-7674	232	10	a.	a.	PROPN
ap-7674	232	11	jauregui	jauregui	PROPN
ap-7674	232	12	,	,	PUNCT
ap-7674	232	13	a.	a.	NOUN
ap-7674	232	14	mondragon	mondragon	PROPN
ap-7674	232	15	.	.	PUNCT
ap-7674	233	1	bound	bind	VERB
ap-7674	233	2	states	state	NOUN
ap-7674	233	3	in	in	ADP
ap-7674	233	4	the	the	DET
ap-7674	233	5	continuum	continuum	ADJ
ap-7674	233	6	and	and	CCONJ
ap-7674	233	7	time	time	NOUN
ap-7674	233	8	evolution	evolution	NOUN
ap-7674	233	9	of	of	ADP
ap-7674	233	10	the	the	DET
ap-7674	233	11	generalized	generalized	ADJ
ap-7674	233	12	eigenfunctions	eigenfunction	NOUN
ap-7674	233	13	.	.	PUNCT
ap-7674	234	1	revista	revista	VERB
ap-7674	234	2	mexicana	mexicana	PROPN
ap-7674	234	3	de	de	PROPN
ap-7674	234	4	física	física	PROPN
ap-7674	234	5	64(5):464–471	64(5):464–471	PROPN
ap-7674	234	6	,	,	PUNCT
ap-7674	234	7	2018	2018	NUM
ap-7674	234	8	.	.	PUNCT
ap-7674	235	1	https://doi.org/10.31349/revmexfis.64.464	https://doi.org/10.31349/revmexfis.64.464	PROPN
ap-7674	235	2	.	.	PUNCT
ap-7674	236	1	[	[	X
ap-7674	236	2	10	10	NUM
ap-7674	236	3	]	]	X
ap-7674	236	4	j.	j.	PROPN
ap-7674	236	5	pappademos	pappademos	PROPN
ap-7674	236	6	,	,	PUNCT
ap-7674	236	7	u.	u.	PROPN
ap-7674	236	8	sukhatme	sukhatme	PROPN
ap-7674	236	9	,	,	PUNCT
ap-7674	236	10	a.	a.	NOUN
ap-7674	236	11	pagnamenta	pagnamenta	NOUN
ap-7674	236	12	.	.	PUNCT
ap-7674	237	1	bound	bind	VERB
ap-7674	237	2	states	state	NOUN
ap-7674	237	3	in	in	ADP
ap-7674	237	4	the	the	DET
ap-7674	237	5	continuum	continuum	ADJ
ap-7674	237	6	from	from	ADP
ap-7674	237	7	supersymmetric	supersymmetric	ADJ
ap-7674	237	8	quantum	quantum	NOUN
ap-7674	237	9	mechanics	mechanic	NOUN
ap-7674	237	10	.	.	PUNCT
ap-7674	238	1	physical	physical	ADJ
ap-7674	238	2	review	review	NOUN
ap-7674	238	3	a	a	DET
ap-7674	238	4	48:3525–3531	48:3525–3531	PROPN
ap-7674	238	5	,	,	PUNCT
ap-7674	238	6	1993	1993	NUM
ap-7674	238	7	.	.	PUNCT
ap-7674	239	1	https://doi.org/10.1103/physreva.48.3525	https://doi.org/10.1103/physreva.48.3525	X
ap-7674	239	2	.	.	PUNCT
ap-7674	240	1	[	[	X
ap-7674	240	2	11	11	NUM
ap-7674	240	3	]	]	X
ap-7674	240	4	n.	n.	PROPN
ap-7674	240	5	fernández	fernández	PROPN
ap-7674	240	6	-	-	PUNCT
ap-7674	240	7	garcía	garcía	ADJ
ap-7674	240	8	,	,	PUNCT
ap-7674	240	9	e.	e.	PROPN
ap-7674	240	10	hernández	hernández	PROPN
ap-7674	240	11	,	,	PUNCT
ap-7674	240	12	a.	a.	NOUN
ap-7674	240	13	jáuregui	jáuregui	PROPN
ap-7674	240	14	,	,	PUNCT
ap-7674	240	15	a.	a.	NOUN
ap-7674	240	16	mondragón	mondragón	PROPN
ap-7674	240	17	.	.	PUNCT
ap-7674	241	1	exceptional	exceptional	ADJ
ap-7674	241	2	points	point	NOUN
ap-7674	241	3	of	of	ADP
ap-7674	241	4	a	a	DET
ap-7674	241	5	hamiltonian	hamiltonian	NOUN
ap-7674	241	6	of	of	ADP
ap-7674	241	7	von	von	PROPN
ap-7674	241	8	neumann	neumann	PROPN
ap-7674	241	9	–	–	PUNCT
ap-7674	241	10	wigner	wigner	ADJ
ap-7674	241	11	type	type	NOUN
ap-7674	241	12	.	.	PUNCT
ap-7674	242	1	journal	journal	PROPN
ap-7674	242	2	of	of	ADP
ap-7674	242	3	physics	physics	PROPN
ap-7674	242	4	a	a	PRON
ap-7674	242	5	:	:	PUNCT
ap-7674	242	6	mathematical	mathematical	ADJ
ap-7674	242	7	and	and	CCONJ
ap-7674	242	8	theoretical	theoretical	ADJ
ap-7674	242	9	46(17):175302	46(17):175302	PROPN
ap-7674	242	10	,	,	PUNCT
ap-7674	242	11	2013	2013	NUM
ap-7674	242	12	.	.	PUNCT
ap-7674	243	1	https://doi.org/10.1088/1751-8113/46/17/175302	https://doi.org/10.1088/1751-8113/46/17/175302	PROPN
ap-7674	243	2	.	.	PUNCT
ap-7674	244	1	[	[	X
ap-7674	244	2	12	12	NUM
ap-7674	244	3	]	]	X
ap-7674	244	4	l.	l.	PROPN
ap-7674	244	5	lópez	lópez	PROPN
ap-7674	244	6	-	-	PUNCT
ap-7674	244	7	mejía	mejía	PROPN
ap-7674	244	8	,	,	PUNCT
ap-7674	244	9	n.	n.	PROPN
ap-7674	244	10	fernández	fernández	PROPN
ap-7674	244	11	-	-	PUNCT
ap-7674	244	12	garcía	garcía	NOUN
ap-7674	244	13	.	.	PUNCT
ap-7674	244	14	truncated	truncate	VERB
ap-7674	244	15	radial	radial	ADJ
ap-7674	244	16	oscillators	oscillator	NOUN
ap-7674	244	17	with	with	ADP
ap-7674	244	18	a	a	DET
ap-7674	244	19	bound	bind	VERB
ap-7674	244	20	state	state	NOUN
ap-7674	244	21	in	in	ADP
ap-7674	244	22	the	the	DET
ap-7674	244	23	continuum	continuum	ADJ
ap-7674	244	24	via	via	ADP
ap-7674	244	25	darboux	darboux	ADJ
ap-7674	244	26	transformations	transformation	NOUN
ap-7674	244	27	.	.	PUNCT
ap-7674	245	1	journal	journal	PROPN
ap-7674	245	2	of	of	ADP
ap-7674	245	3	physics	physics	PROPN
ap-7674	245	4	:	:	PUNCT
ap-7674	245	5	conference	conference	NOUN
ap-7674	245	6	series	series	PROPN
ap-7674	245	7	1540:012029	1540:012029	NUM
ap-7674	245	8	,	,	PUNCT
ap-7674	245	9	2020	2020	NUM
ap-7674	245	10	.	.	PUNCT
ap-7674	246	1	https://doi.org/10.1088/1742-6596/1540/1/012029	https://doi.org/10.1088/1742-6596/1540/1/012029	NOUN
ap-7674	246	2	.	.	PUNCT
ap-7674	247	1	[	[	X
ap-7674	247	2	13	13	NUM
ap-7674	247	3	]	]	PUNCT
ap-7674	247	4	a.	a.	NOUN
ap-7674	247	5	demić	demić	PROPN
ap-7674	247	6	,	,	PUNCT
ap-7674	247	7	v.	v.	PROPN
ap-7674	247	8	milanović	milanović	PROPN
ap-7674	247	9	,	,	PUNCT
ap-7674	247	10	j.	j.	PROPN
ap-7674	247	11	radovanović	radovanović	PROPN
ap-7674	247	12	.	.	PUNCT
ap-7674	248	1	bound	bind	VERB
ap-7674	248	2	states	state	NOUN
ap-7674	248	3	in	in	ADP
ap-7674	248	4	the	the	DET
ap-7674	248	5	continuum	continuum	NOUN
ap-7674	248	6	generated	generate	VERB
ap-7674	248	7	by	by	ADP
ap-7674	248	8	supersymmetric	supersymmetric	ADJ
ap-7674	248	9	quantum	quantum	ADJ
ap-7674	248	10	mechanics	mechanic	NOUN
ap-7674	248	11	and	and	CCONJ
ap-7674	248	12	phase	phase	NOUN
ap-7674	248	13	rigidity	rigidity	NOUN
ap-7674	248	14	of	of	ADP
ap-7674	248	15	the	the	DET
ap-7674	248	16	corresponding	corresponding	ADJ
ap-7674	248	17	wavefunctions	wavefunction	NOUN
ap-7674	248	18	.	.	PUNCT
ap-7674	249	1	physics	physics	NOUN
ap-7674	249	2	letters	letter	NOUN
ap-7674	249	3	a	a	DET
ap-7674	249	4	379(42):2707–2714	379(42):2707–2714	PROPN
ap-7674	249	5	,	,	PUNCT
ap-7674	249	6	2015	2015	NUM
ap-7674	249	7	.	.	PUNCT
ap-7674	250	1	https://doi.org/10.1016/j.physleta.2015.08.017	https://doi.org/10.1016/j.physleta.2015.08.017	NOUN
ap-7674	250	2	.	.	PUNCT
ap-7674	251	1	[	[	X
ap-7674	251	2	14	14	NUM
ap-7674	251	3	]	]	X
ap-7674	251	4	c.	c.	PROPN
ap-7674	251	5	w.	w.	PROPN
ap-7674	251	6	hsu	hsu	PROPN
ap-7674	251	7	,	,	PUNCT
ap-7674	251	8	b.	b.	PROPN
ap-7674	251	9	zhen	zhen	PROPN
ap-7674	251	10	,	,	PUNCT
ap-7674	251	11	a.	a.	PROPN
ap-7674	251	12	d.	d.	PROPN
ap-7674	251	13	stone	stone	PROPN
ap-7674	251	14	,	,	PUNCT
ap-7674	251	15	et	et	PROPN
ap-7674	251	16	al	al	PROPN
ap-7674	251	17	.	.	PROPN
ap-7674	252	1	bound	bind	VERB
ap-7674	252	2	states	state	NOUN
ap-7674	252	3	in	in	ADP
ap-7674	252	4	the	the	DET
ap-7674	252	5	continuum	continuum	PROPN
ap-7674	252	6	.	.	PUNCT
ap-7674	253	1	nature	nature	NOUN
ap-7674	253	2	reviews	review	VERB
ap-7674	253	3	materials	material	NOUN
ap-7674	253	4	1(9):16048	1(9):16048	NUM
ap-7674	253	5	,	,	PUNCT
ap-7674	253	6	2016	2016	NUM
ap-7674	253	7	.	.	PUNCT
ap-7674	254	1	https://doi.org/10.1038/natrevmats.2016.48	https://doi.org/10.1038/natrevmats.2016.48	PROPN
ap-7674	254	2	.	.	PUNCT
ap-7674	255	1	[	[	X
ap-7674	255	2	15	15	NUM
ap-7674	255	3	]	]	X
ap-7674	255	4	d.	d.	PROPN
ap-7674	255	5	l.	l.	PROPN
ap-7674	255	6	hill	hill	PROPN
ap-7674	255	7	,	,	PUNCT
ap-7674	255	8	j.	j.	PROPN
ap-7674	255	9	a.	a.	NOUN
ap-7674	255	10	wheeler	wheeler	NOUN
ap-7674	255	11	.	.	PUNCT
ap-7674	256	1	nuclear	nuclear	ADJ
ap-7674	256	2	constitution	constitution	NOUN
ap-7674	256	3	and	and	CCONJ
ap-7674	256	4	the	the	DET
ap-7674	256	5	interpretation	interpretation	NOUN
ap-7674	256	6	of	of	ADP
ap-7674	256	7	fission	fission	NOUN
ap-7674	256	8	phenomena	phenomenon	NOUN
ap-7674	256	9	.	.	PUNCT
ap-7674	257	1	physical	physical	ADJ
ap-7674	257	2	review	review	NOUN
ap-7674	257	3	89:1102–1145	89:1102–1145	NUM
ap-7674	257	4	,	,	PUNCT
ap-7674	257	5	1953	1953	NUM
ap-7674	257	6	.	.	PUNCT
ap-7674	258	1	https://doi.org/10.1103/physrev.89.1102	https://doi.org/10.1103/physrev.89.1102	X
ap-7674	258	2	.	.	PUNCT
ap-7674	259	1	[	[	X
ap-7674	259	2	16	16	NUM
ap-7674	259	3	]	]	PUNCT
ap-7674	259	4	s.	s.	PROPN
ap-7674	259	5	w.	w.	PROPN
ap-7674	259	6	doescher	doescher	PROPN
ap-7674	259	7	,	,	PUNCT
ap-7674	259	8	m.	m.	PROPN
ap-7674	259	9	h.	h.	PROPN
ap-7674	259	10	rice	rice	PROPN
ap-7674	259	11	.	.	PUNCT
ap-7674	260	1	infinite	infinite	ADJ
ap-7674	260	2	square	square	ADJ
ap-7674	260	3	-	-	PUNCT
ap-7674	260	4	well	well	NOUN
ap-7674	260	5	potential	potential	NOUN
ap-7674	260	6	with	with	ADP
ap-7674	260	7	a	a	DET
ap-7674	260	8	moving	move	VERB
ap-7674	260	9	wall	wall	NOUN
ap-7674	260	10	.	.	PUNCT
ap-7674	261	1	american	american	PROPN
ap-7674	261	2	journal	journal	PROPN
ap-7674	261	3	of	of	ADP
ap-7674	261	4	physics	physics	PROPN
ap-7674	261	5	37:1246–1249	37:1246–1249	PROPN
ap-7674	261	6	,	,	PUNCT
ap-7674	261	7	1969	1969	NUM
ap-7674	261	8	.	.	PUNCT
ap-7674	262	1	https://doi.org/10.1119/1.1975291	https://doi.org/10.1119/1.1975291	PROPN
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ap-7674	263	21	a.	a.	PROPN
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ap-7674	263	23	-	-	PUNCT
ap-7674	263	24	astorga	astorga	PROPN
ap-7674	263	25	,	,	PUNCT
ap-7674	263	26	a.	a.	PROPN
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ap-7674	264	3	]	]	PUNCT
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ap-7674	264	6	.	.	PUNCT
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ap-7674	265	2	infinite	infinite	ADJ
ap-7674	265	3	potential	potential	ADJ
ap-7674	265	4	well	well	ADV
ap-7674	265	5	with	with	ADP
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ap-7674	265	8	,	,	PUNCT
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ap-7674	266	2	.	.	PUNCT
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ap-7674	267	5	v.	v.	ADP
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ap-7674	267	7	.	.	PUNCT
ap-7674	268	1	quantal	quantal	ADJ
ap-7674	268	2	phase	phase	NOUN
ap-7674	268	3	factors	factor	NOUN
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ap-7674	268	5	adiabatic	adiabatic	ADJ
ap-7674	268	6	changes	change	NOUN
ap-7674	268	7	.	.	PUNCT
ap-7674	269	1	proceedings	proceeding	NOUN
ap-7674	269	2	of	of	ADP
ap-7674	269	3	the	the	DET
ap-7674	269	4	royal	royal	ADJ
ap-7674	269	5	society	society	NOUN
ap-7674	269	6	lond	lond	NOUN
ap-7674	269	7	a	a	DET
ap-7674	269	8	392:45–57	392:45–57	NUM
ap-7674	269	9	,	,	PUNCT
ap-7674	269	10	1984	1984	NUM
ap-7674	269	11	.	.	PUNCT
ap-7674	270	1	https://doi.org/10.1098/rspa.1984.0023	https://doi.org/10.1098/rspa.1984.0023	PROPN
ap-7674	270	2	.	.	PUNCT
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ap-7674	271	2	19	19	NUM
ap-7674	271	3	]	]	X
ap-7674	271	4	j.	j.	PROPN
ap-7674	271	5	r.	r.	PROPN
ap-7674	271	6	ray	ray	PROPN
ap-7674	271	7	.	.	PUNCT
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ap-7674	272	2	solutions	solution	NOUN
ap-7674	272	3	to	to	ADP
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ap-7674	272	10	.	.	PUNCT
ap-7674	273	1	physical	physical	ADJ
ap-7674	273	2	review	review	NOUN
ap-7674	273	3	a	a	DET
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ap-7674	273	5	,	,	PUNCT
ap-7674	273	6	1982	1982	NUM
ap-7674	273	7	.	.	PUNCT
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ap-7674	275	7	.	.	PUNCT
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ap-7674	276	4	partial	partial	ADJ
ap-7674	276	5	differential	differential	NOUN
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ap-7674	277	3	on	on	ADP
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ap-7674	277	7	,	,	PUNCT
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ap-7674	277	9	.	.	PUNCT
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ap-7674	279	2	21	21	NUM
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ap-7674	279	18	orthogonal	orthogonal	ADJ
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ap-7674	279	20	.	.	PUNCT
ap-7674	280	1	journal	journal	PROPN
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ap-7674	280	6	,	,	PUNCT
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ap-7674	280	8	.	.	PUNCT
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ap-7674	281	2	.	.	PUNCT
ap-7674	282	1	[	[	X
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ap-7674	282	3	]	]	PUNCT
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ap-7674	282	9	-	-	PUNCT
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ap-7674	282	11	.	.	PUNCT
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ap-7674	283	2	nonstationary	nonstationary	ADJ
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ap-7674	283	4	:	:	PUNCT
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ap-7674	283	6	,	,	PUNCT
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ap-7674	284	4	,	,	PUNCT
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ap-7674	284	6	.	.	PUNCT
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ap-7674	287	1	point	point	NOUN
ap-7674	287	2	transformations	transformation	NOUN
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ap-7674	287	15	.	.	PUNCT
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ap-7674	289	5	,	,	PUNCT
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ap-7674	289	10	,	,	PUNCT
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ap-7674	289	12	.	.	PUNCT
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ap-7674	290	2	.	.	PUNCT
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ap-7674	291	8	.	.	PUNCT
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ap-7674	293	3	]	]	PUNCT
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ap-7674	294	8	-	-	PUNCT
ap-7674	294	9	teller	teller	NOUN
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ap-7674	294	13	wells	well	NOUN
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ap-7674	294	19	pp	pp	ADV
ap-7674	294	20	.	.	PUNCT
ap-7674	295	1	285–299	285–299	NUM
ap-7674	295	2	.	.	PUNCT
ap-7674	296	1	springer	springer	NOUN
ap-7674	296	2	international	international	ADJ
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ap-7674	296	4	,	,	PUNCT
ap-7674	296	5	cham	cham	NOUN
ap-7674	296	6	,	,	PUNCT
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ap-7674	296	8	.	.	PUNCT
ap-7674	297	1	https://doi.org/10.1007/978-3-030-20087-9_11	https://doi.org/10.1007/978-3-030-20087-9_11	X
ap-7674	297	2	.	.	PUNCT
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ap-7674	301	2	,	,	PUNCT
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ap-7674	301	6	,	,	PUNCT
ap-7674	301	7	1992	1992	NUM
ap-7674	301	8	.	.	PUNCT
ap-7674	302	1	isbn	isbn	PROPN
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ap-7674	302	3	,	,	PUNCT
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ap-7674	305	4	-	-	SYM
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ap-7674	305	6	,	,	PUNCT
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ap-7674	305	8	.	.	PUNCT
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ap-7674	311	6	,	,	PUNCT
ap-7674	311	7	j.	j.	PROPN
ap-7674	311	8	v.	v.	PROPN
ap-7674	311	9	mallow	mallow	PROPN
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ap-7674	311	12	rasinariu	rasinariu	PROPN
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ap-7674	312	2	quantum	quantum	ADJ
ap-7674	312	3	mechanics	mechanic	NOUN
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ap-7674	312	5	an	an	DET
ap-7674	312	6	introduction	introduction	NOUN
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ap-7674	312	9	edition	edition	NOUN
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ap-7674	316	6	statistical	statistical	ADJ
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ap-7674	322	2	ed	ed	NOUN
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ap-7674	322	12	.	.	PUNCT
ap-7674	323	1	trans	trans	PROPN
ap-7674	323	2	.	.	PUNCT
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ap-7674	324	2	:	:	PUNCT
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ap-7674	324	4	quantique	quantique	NOUN
ap-7674	324	5	.	.	PUNCT
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ap-7674	325	2	:	:	PUNCT
ap-7674	326	1	hermann	hermann	PROPN
ap-7674	326	2	,	,	PUNCT
ap-7674	326	3	1973	1973	NUM
ap-7674	326	4	,	,	PUNCT
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ap-7674	326	6	.	.	PUNCT
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ap-7674	327	3	]	]	X
ap-7674	327	4	r.	r.	PROPN
ap-7674	327	5	shankar	shankar	PROPN
ap-7674	327	6	.	.	PUNCT
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ap-7674	328	3	quantum	quantum	NOUN
ap-7674	328	4	mechanics	mechanic	NOUN
ap-7674	328	5	.	.	PUNCT
ap-7674	329	1	plenum	plenum	PROPN
ap-7674	329	2	,	,	PUNCT
ap-7674	329	3	new	new	PROPN
ap-7674	329	4	york	york	PROPN
ap-7674	329	5	,	,	PUNCT
ap-7674	329	6	ny	ny	PROPN
ap-7674	329	7	,	,	PUNCT
ap-7674	329	8	1980	1980	NUM
ap-7674	329	9	.	.	PUNCT
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ap-7674	331	1	62	62	NUM
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ap-7674	331	21	1	1	NUM
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ap-7674	331	27	point	point	NOUN
ap-7674	331	28	transformation	transformation	NOUN
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ap-7674	331	31	supersymmetry	supersymmetry	NOUN
ap-7674	331	32	2.2	2.2	NUM
ap-7674	331	33	point	point	NOUN
ap-7674	331	34	transformation	transformation	NOUN
ap-7674	331	35	3	3	NUM
ap-7674	331	36	time	time	NOUN
ap-7674	331	37	dependent	dependent	ADJ
ap-7674	331	38	step	step	NOUN
ap-7674	331	39	-	-	PUNCT
ap-7674	331	40	like	like	ADJ
ap-7674	331	41	potential	potential	NOUN
ap-7674	331	42	with	with	ADP
ap-7674	331	43	a	a	DET
ap-7674	331	44	freezable	freezable	ADJ
ap-7674	331	45	bound	bind	VERB
ap-7674	331	46	state	state	NOUN
ap-7674	331	47	in	in	ADP
ap-7674	331	48	the	the	DET
ap-7674	331	49	continuum	continuum	ADJ
ap-7674	331	50	4	4	NUM
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ap-7674	331	52	remarks	remark	NOUN
ap-7674	331	53	acknowledgements	acknowledgement	NOUN
ap-7674	331	54	references	reference	NOUN