id	sid	tid	token	lemma	pos
ap-7672	1	1	acta	acta	PROPN
ap-7672	1	2	polytechnica	polytechnica	PROPN
ap-7672	1	3	https://doi.org/10.14311/ap.2022.62.0030	https://doi.org/10.14311/ap.2022.62.0030	PROPN
ap-7672	1	4	acta	acta	PROPN
ap-7672	1	5	polytechnica	polytechnica	PROPN
ap-7672	1	6	62(1):30–37	62(1):30–37	PROPN
ap-7672	1	7	,	,	PUNCT
ap-7672	1	8	2022	2022	NUM
ap-7672	1	9	©	©	ADP
ap-7672	1	10	2022	2022	NUM
ap-7672	1	11	the	the	DET
ap-7672	1	12	author(s	author(s	NOUN
ap-7672	1	13	)	)	PUNCT
ap-7672	1	14	.	.	PUNCT
ap-7672	2	1	licensed	license	VERB
ap-7672	2	2	under	under	ADP
ap-7672	2	3	a	a	DET
ap-7672	2	4	cc	cc	NOUN
ap-7672	2	5	-	-	PUNCT
ap-7672	2	6	by	by	ADP
ap-7672	2	7	4.0	4.0	NUM
ap-7672	2	8	licence	licence	NOUN
ap-7672	2	9	published	publish	VERB
ap-7672	2	10	by	by	ADP
ap-7672	2	11	the	the	DET
ap-7672	2	12	czech	czech	PROPN
ap-7672	2	13	technical	technical	PROPN
ap-7672	2	14	university	university	PROPN
ap-7672	2	15	in	in	ADP
ap-7672	2	16	prague	prague	PROPN
ap-7672	2	17	linearised	linearise	VERB
ap-7672	2	18	coherent	coherent	ADJ
ap-7672	2	19	states	state	NOUN
ap-7672	2	20	for	for	ADP
ap-7672	2	21	non	non	ADJ
ap-7672	2	22	-	-	ADJ
ap-7672	2	23	rational	rational	ADJ
ap-7672	2	24	susy	susy	NOUN
ap-7672	2	25	extensions	extension	NOUN
ap-7672	2	26	of	of	ADP
ap-7672	2	27	the	the	DET
ap-7672	2	28	harmonic	harmonic	ADJ
ap-7672	2	29	oscillator	oscillator	NOUN
ap-7672	2	30	alonso	alonso	PROPN
ap-7672	2	31	contreras	contreras	PROPN
ap-7672	2	32	-	-	PUNCT
ap-7672	2	33	astorgaa	astorgaa	ADJ
ap-7672	2	34	,	,	PUNCT
ap-7672	2	35	david	david	PROPN
ap-7672	2	36	j.	j.	PROPN
ap-7672	2	37	fernández	fernández	PROPN
ap-7672	2	38	c.b	c.b	PROPN
ap-7672	2	39	,	,	PUNCT
ap-7672	2	40	césar	césar	PROPN
ap-7672	2	41	muro	muro	PROPN
ap-7672	2	42	-	-	PUNCT
ap-7672	2	43	cabralc	cabralc	NOUN
ap-7672	2	44	,	,	PUNCT
ap-7672	2	45	b,∗	b,∗	PROPN
ap-7672	2	46	a	a	DET
ap-7672	2	47	conacyt	conacyt	NOUN
ap-7672	2	48	-	-	PUNCT
ap-7672	2	49	centro	centro	X
ap-7672	2	50	de	de	PROPN
ap-7672	2	51	investigación	investigación	PROPN
ap-7672	2	52	y	y	PROPN
ap-7672	2	53	de	de	PROPN
ap-7672	2	54	estudios	estudios	PROPN
ap-7672	2	55	avanzados	avanzado	NOUN
ap-7672	2	56	del	del	PROPN
ap-7672	2	57	i.	i.	PROPN
ap-7672	2	58	p.	p.	PROPN
ap-7672	2	59	n.	n.	PROPN
ap-7672	2	60	,	,	PUNCT
ap-7672	2	61	departamento	departamento	PROPN
ap-7672	2	62	de	de	PROPN
ap-7672	2	63	física	física	PROPN
ap-7672	2	64	,	,	PUNCT
ap-7672	2	65	av	av	PROPN
ap-7672	2	66	.	.	PROPN
ap-7672	2	67	instituto	instituto	PROPN
ap-7672	2	68	politécnico	politécnico	PROPN
ap-7672	2	69	nacional	nacional	PROPN
ap-7672	3	1	no	no	INTJ
ap-7672	3	2	.	.	PROPN
ap-7672	4	1	2508	2508	NUM
ap-7672	4	2	,	,	PUNCT
ap-7672	4	3	col	col	PROPN
ap-7672	4	4	.	.	PROPN
ap-7672	4	5	san	san	PROPN
ap-7672	4	6	pedro	pedro	PROPN
ap-7672	4	7	zacatenco	zacatenco	PROPN
ap-7672	4	8	,	,	PUNCT
ap-7672	4	9	c.p	c.p	PROPN
ap-7672	4	10	.	.	PROPN
ap-7672	4	11	07360	07360	NUM
ap-7672	4	12	,	,	PUNCT
ap-7672	4	13	ciudad	ciudad	PROPN
ap-7672	4	14	de	de	PROPN
ap-7672	4	15	méxico	méxico	PROPN
ap-7672	4	16	,	,	PUNCT
ap-7672	4	17	méxico	méxico	PROPN
ap-7672	4	18	b	b	PROPN
ap-7672	4	19	centro	centro	X
ap-7672	4	20	de	de	PROPN
ap-7672	4	21	investigación	investigación	PROPN
ap-7672	4	22	y	y	PROPN
ap-7672	4	23	de	de	PROPN
ap-7672	4	24	estudios	estudios	PROPN
ap-7672	4	25	avanzados	avanzado	NOUN
ap-7672	4	26	del	del	PROPN
ap-7672	4	27	i.	i.	PROPN
ap-7672	4	28	p.	p.	PROPN
ap-7672	4	29	n.	n.	PROPN
ap-7672	4	30	,	,	PUNCT
ap-7672	4	31	departamento	departamento	PROPN
ap-7672	4	32	de	de	PROPN
ap-7672	4	33	física	física	PROPN
ap-7672	4	34	,	,	PUNCT
ap-7672	4	35	av	av	PROPN
ap-7672	4	36	.	.	PROPN
ap-7672	4	37	instituto	instituto	PROPN
ap-7672	4	38	politécnico	politécnico	PROPN
ap-7672	4	39	nacional	nacional	PROPN
ap-7672	4	40	no	no	INTJ
ap-7672	4	41	.	.	PROPN
ap-7672	4	42	2508	2508	NUM
ap-7672	4	43	,	,	PUNCT
ap-7672	4	44	col	col	PROPN
ap-7672	4	45	.	.	PROPN
ap-7672	4	46	san	san	PROPN
ap-7672	4	47	pedro	pedro	PROPN
ap-7672	4	48	zacatenco	zacatenco	PROPN
ap-7672	4	49	,	,	PUNCT
ap-7672	4	50	c.p	c.p	PROPN
ap-7672	4	51	.	.	PROPN
ap-7672	4	52	07360	07360	NUM
ap-7672	4	53	,	,	PUNCT
ap-7672	4	54	ciudad	ciudad	PROPN
ap-7672	4	55	de	de	PROPN
ap-7672	4	56	méxico	méxico	PROPN
ap-7672	4	57	,	,	PUNCT
ap-7672	4	58	méxico	méxico	PROPN
ap-7672	4	59	c	c	PROPN
ap-7672	4	60	centro	centro	PROPN
ap-7672	4	61	de	de	PROPN
ap-7672	4	62	investigación	investigación	PROPN
ap-7672	4	63	y	y	PROPN
ap-7672	4	64	de	de	PROPN
ap-7672	4	65	estudios	estudios	PROPN
ap-7672	4	66	avanzados	avanzado	NOUN
ap-7672	5	1	del	del	PROPN
ap-7672	5	2	i.	i.	PROPN
ap-7672	5	3	p.	p.	PROPN
ap-7672	5	4	n.	n.	PROPN
ap-7672	5	5	,	,	PUNCT
ap-7672	5	6	unidad	unidad	PROPN
ap-7672	5	7	querétaro	querétaro	NOUN
ap-7672	5	8	,	,	PUNCT
ap-7672	5	9	libramiento	libramiento	NOUN
ap-7672	5	10	norponiente	norponiente	NOUN
ap-7672	5	11	no	no	NOUN
ap-7672	5	12	.	.	PROPN
ap-7672	5	13	2000	2000	NUM
ap-7672	5	14	,	,	PUNCT
ap-7672	5	15	fracc	fracc	NOUN
ap-7672	5	16	.	.	PUNCT
ap-7672	6	1	real	real	PROPN
ap-7672	6	2	de	de	X
ap-7672	6	3	juriquilla	juriquilla	PROPN
ap-7672	6	4	,	,	PUNCT
ap-7672	6	5	c.	c.	PROPN
ap-7672	6	6	p.	p.	PROPN
ap-7672	6	7	76230	76230	NUM
ap-7672	6	8	,	,	PUNCT
ap-7672	6	9	querétaro	querétaro	ADJ
ap-7672	6	10	,	,	PUNCT
ap-7672	6	11	qro	qro	NOUN
ap-7672	6	12	.	.	PUNCT
ap-7672	6	13	,	,	PUNCT
ap-7672	6	14	méxico	méxico	PROPN
ap-7672	6	15	∗	∗	VERB
ap-7672	6	16	corresponding	correspond	VERB
ap-7672	6	17	author	author	NOUN
ap-7672	6	18	:	:	PUNCT
ap-7672	6	19	cesar.muro@cinvestav.mx	cesar.muro@cinvestav.mx	ADJ
ap-7672	6	20	abstract	abstract	NOUN
ap-7672	6	21	.	.	PUNCT
ap-7672	7	1	in	in	ADP
ap-7672	7	2	this	this	DET
ap-7672	7	3	work	work	NOUN
ap-7672	7	4	,	,	PUNCT
ap-7672	7	5	we	we	PRON
ap-7672	7	6	derive	derive	VERB
ap-7672	7	7	two	two	NUM
ap-7672	7	8	equivalent	equivalent	ADJ
ap-7672	7	9	non	non	ADJ
ap-7672	7	10	-	-	ADJ
ap-7672	7	11	rational	rational	ADJ
ap-7672	7	12	extensions	extension	NOUN
ap-7672	7	13	of	of	ADP
ap-7672	7	14	the	the	DET
ap-7672	7	15	quantum	quantum	ADJ
ap-7672	7	16	harmonic	harmonic	NOUN
ap-7672	7	17	oscillator	oscillator	NOUN
ap-7672	7	18	using	use	VERB
ap-7672	7	19	two	two	NUM
ap-7672	7	20	different	different	ADJ
ap-7672	7	21	supersymmetric	supersymmetric	ADJ
ap-7672	7	22	transformations	transformation	NOUN
ap-7672	7	23	.	.	PUNCT
ap-7672	8	1	for	for	ADP
ap-7672	8	2	these	these	DET
ap-7672	8	3	extensions	extension	NOUN
ap-7672	8	4	,	,	PUNCT
ap-7672	8	5	we	we	PRON
ap-7672	8	6	built	build	VERB
ap-7672	8	7	ladder	ladder	NOUN
ap-7672	8	8	operators	operator	NOUN
ap-7672	8	9	as	as	ADP
ap-7672	8	10	the	the	DET
ap-7672	8	11	product	product	NOUN
ap-7672	8	12	of	of	ADP
ap-7672	8	13	the	the	DET
ap-7672	8	14	intertwining	intertwine	VERB
ap-7672	8	15	operators	operator	NOUN
ap-7672	8	16	related	relate	VERB
ap-7672	8	17	with	with	ADP
ap-7672	8	18	these	these	DET
ap-7672	8	19	equivalent	equivalent	ADJ
ap-7672	8	20	supersymmetric	supersymmetric	ADJ
ap-7672	8	21	transformations	transformation	NOUN
ap-7672	8	22	,	,	PUNCT
ap-7672	8	23	which	which	PRON
ap-7672	8	24	results	result	VERB
ap-7672	8	25	in	in	ADP
ap-7672	8	26	two	two	NUM
ap-7672	8	27	-	-	PUNCT
ap-7672	8	28	step	step	NOUN
ap-7672	8	29	ladder	ladder	NOUN
ap-7672	8	30	operators	operator	NOUN
ap-7672	8	31	.	.	PUNCT
ap-7672	9	1	we	we	PRON
ap-7672	9	2	linearised	linearise	VERB
ap-7672	9	3	these	these	DET
ap-7672	9	4	operators	operator	NOUN
ap-7672	9	5	to	to	PART
ap-7672	9	6	obtain	obtain	VERB
ap-7672	9	7	operators	operator	NOUN
ap-7672	9	8	of	of	ADP
ap-7672	9	9	the	the	DET
ap-7672	9	10	same	same	ADJ
ap-7672	9	11	nature	nature	NOUN
ap-7672	9	12	that	that	PRON
ap-7672	9	13	follow	follow	VERB
ap-7672	9	14	a	a	DET
ap-7672	9	15	linear	linear	ADJ
ap-7672	9	16	commutation	commutation	NOUN
ap-7672	9	17	relation	relation	NOUN
ap-7672	9	18	.	.	PUNCT
ap-7672	10	1	after	after	ADP
ap-7672	10	2	the	the	DET
ap-7672	10	3	linearisation	linearisation	NOUN
ap-7672	10	4	,	,	PUNCT
ap-7672	10	5	we	we	PRON
ap-7672	10	6	derive	derive	VERB
ap-7672	10	7	coherent	coherent	ADJ
ap-7672	10	8	states	state	NOUN
ap-7672	10	9	as	as	ADP
ap-7672	10	10	eigenstates	eigenstate	NOUN
ap-7672	10	11	of	of	ADP
ap-7672	10	12	the	the	DET
ap-7672	10	13	annigilation	annigilation	NOUN
ap-7672	10	14	operator	operator	NOUN
ap-7672	10	15	and	and	CCONJ
ap-7672	10	16	analyse	analyse	VERB
ap-7672	10	17	some	some	DET
ap-7672	10	18	relevant	relevant	ADJ
ap-7672	10	19	mathematical	mathematical	ADJ
ap-7672	10	20	and	and	CCONJ
ap-7672	10	21	physical	physical	ADJ
ap-7672	10	22	properties	property	NOUN
ap-7672	10	23	,	,	PUNCT
ap-7672	10	24	such	such	ADJ
ap-7672	10	25	as	as	ADP
ap-7672	10	26	the	the	DET
ap-7672	10	27	completeness	completeness	NOUN
ap-7672	10	28	relation	relation	NOUN
ap-7672	10	29	,	,	PUNCT
ap-7672	10	30	mean	mean	ADJ
ap-7672	10	31	-	-	PUNCT
ap-7672	10	32	energy	energy	NOUN
ap-7672	10	33	values	value	NOUN
ap-7672	10	34	,	,	PUNCT
ap-7672	10	35	temporal	temporal	ADJ
ap-7672	10	36	stability	stability	NOUN
ap-7672	10	37	,	,	PUNCT
ap-7672	10	38	time	time	NOUN
ap-7672	10	39	evolution	evolution	NOUN
ap-7672	10	40	of	of	ADP
ap-7672	10	41	the	the	DET
ap-7672	10	42	probability	probability	NOUN
ap-7672	10	43	densities	density	NOUN
ap-7672	10	44	,	,	PUNCT
ap-7672	10	45	and	and	CCONJ
ap-7672	10	46	wigner	wigner	ADJ
ap-7672	10	47	distributions	distribution	NOUN
ap-7672	10	48	.	.	PUNCT
ap-7672	11	1	from	from	ADP
ap-7672	11	2	these	these	DET
ap-7672	11	3	properties	property	NOUN
ap-7672	11	4	,	,	PUNCT
ap-7672	11	5	we	we	PRON
ap-7672	11	6	conclude	conclude	VERB
ap-7672	11	7	that	that	SCONJ
ap-7672	11	8	these	these	DET
ap-7672	11	9	coherent	coherent	ADJ
ap-7672	11	10	states	state	NOUN
ap-7672	11	11	present	present	VERB
ap-7672	11	12	both	both	CCONJ
ap-7672	11	13	classical	classical	ADJ
ap-7672	11	14	and	and	CCONJ
ap-7672	11	15	quantum	quantum	ADJ
ap-7672	11	16	behaviour	behaviour	NOUN
ap-7672	11	17	.	.	PUNCT
ap-7672	12	1	keywords	keyword	NOUN
ap-7672	12	2	:	:	PUNCT
ap-7672	12	3	supersymmetric	supersymmetric	ADJ
ap-7672	12	4	quantum	quantum	NOUN
ap-7672	12	5	mechanics	mechanic	NOUN
ap-7672	12	6	,	,	PUNCT
ap-7672	12	7	non	non	ADJ
ap-7672	12	8	-	-	ADJ
ap-7672	12	9	rational	rational	ADJ
ap-7672	12	10	extensions	extension	NOUN
ap-7672	12	11	,	,	PUNCT
ap-7672	12	12	linearised	linearise	VERB
ap-7672	12	13	ladder	ladder	NOUN
ap-7672	12	14	operators	operator	NOUN
ap-7672	12	15	,	,	PUNCT
ap-7672	12	16	coherent	coherent	ADJ
ap-7672	12	17	states	state	NOUN
ap-7672	12	18	.	.	PUNCT
ap-7672	13	1	1	1	X
ap-7672	13	2	.	.	X
ap-7672	13	3	introduction	introduction	NOUN
ap-7672	13	4	in	in	ADP
ap-7672	13	5	quantum	quantum	ADJ
ap-7672	13	6	physics	physics	NOUN
ap-7672	13	7	,	,	PUNCT
ap-7672	13	8	supersymmetric	supersymmetric	ADJ
ap-7672	13	9	quantum	quantum	ADJ
ap-7672	13	10	mechanics	mechanic	NOUN
ap-7672	13	11	(	(	PUNCT
ap-7672	13	12	susy	susy	NOUN
ap-7672	13	13	)	)	PUNCT
ap-7672	13	14	is	be	AUX
ap-7672	13	15	considered	consider	VERB
ap-7672	13	16	the	the	DET
ap-7672	13	17	most	most	ADV
ap-7672	13	18	efficient	efficient	ADJ
ap-7672	13	19	technique	technique	NOUN
ap-7672	13	20	to	to	PART
ap-7672	13	21	generate	generate	VERB
ap-7672	13	22	new	new	ADJ
ap-7672	13	23	quantum	quantum	ADJ
ap-7672	13	24	potentials	potential	NOUN
ap-7672	13	25	from	from	ADP
ap-7672	13	26	an	an	DET
ap-7672	13	27	initial	initial	ADJ
ap-7672	13	28	solvable	solvable	ADJ
ap-7672	13	29	one	one	NOUN
ap-7672	13	30	(	(	PUNCT
ap-7672	13	31	see	see	VERB
ap-7672	13	32	[	[	X
ap-7672	13	33	1–5	1–5	X
ap-7672	13	34	]	]	X
ap-7672	13	35	for	for	ADP
ap-7672	13	36	reviews	review	NOUN
ap-7672	13	37	on	on	ADP
ap-7672	13	38	the	the	DET
ap-7672	13	39	topic	topic	NOUN
ap-7672	13	40	)	)	PUNCT
ap-7672	13	41	.	.	PUNCT
ap-7672	14	1	this	this	DET
ap-7672	14	2	method	method	NOUN
ap-7672	14	3	allows	allow	VERB
ap-7672	14	4	modifying	modify	VERB
ap-7672	14	5	the	the	DET
ap-7672	14	6	energy	energy	NOUN
ap-7672	14	7	spectrum	spectrum	NOUN
ap-7672	14	8	of	of	ADP
ap-7672	14	9	an	an	DET
ap-7672	14	10	initial	initial	ADJ
ap-7672	14	11	hamiltonian	hamiltonian	NOUN
ap-7672	14	12	to	to	PART
ap-7672	14	13	obtain	obtain	VERB
ap-7672	14	14	new	new	ADJ
ap-7672	14	15	hamiltonians	hamiltonian	NOUN
ap-7672	14	16	with	with	ADP
ap-7672	14	17	known	know	VERB
ap-7672	14	18	eigenstates	eigenstate	NOUN
ap-7672	14	19	and	and	CCONJ
ap-7672	14	20	eigenvalues	eigenvalue	NOUN
ap-7672	14	21	.	.	PUNCT
ap-7672	15	1	these	these	DET
ap-7672	15	2	potentials	potential	NOUN
ap-7672	15	3	obtained	obtain	VERB
ap-7672	15	4	with	with	ADP
ap-7672	15	5	susy	susy	NOUN
ap-7672	15	6	are	be	AUX
ap-7672	15	7	known	know	VERB
ap-7672	15	8	as	as	ADP
ap-7672	15	9	extensions	extension	NOUN
ap-7672	15	10	or	or	CCONJ
ap-7672	15	11	susy	susy	NOUN
ap-7672	15	12	partners	partner	NOUN
ap-7672	15	13	of	of	ADP
ap-7672	15	14	the	the	DET
ap-7672	15	15	considered	consider	VERB
ap-7672	15	16	initial	initial	ADJ
ap-7672	15	17	potential	potential	NOUN
ap-7672	15	18	.	.	PUNCT
ap-7672	16	1	moreover	moreover	ADV
ap-7672	16	2	,	,	PUNCT
ap-7672	16	3	when	when	SCONJ
ap-7672	16	4	two	two	NUM
ap-7672	16	5	different	different	ADJ
ap-7672	16	6	susy	susy	NOUN
ap-7672	16	7	transformations	transformation	NOUN
ap-7672	16	8	lead	lead	VERB
ap-7672	16	9	to	to	ADP
ap-7672	16	10	the	the	DET
ap-7672	16	11	same	same	ADJ
ap-7672	16	12	potential	potential	NOUN
ap-7672	16	13	(	(	PUNCT
ap-7672	16	14	up	up	ADP
ap-7672	16	15	to	to	ADP
ap-7672	16	16	an	an	DET
ap-7672	16	17	additive	additive	ADJ
ap-7672	16	18	constant	constant	ADJ
ap-7672	16	19	)	)	PUNCT
ap-7672	16	20	,	,	PUNCT
ap-7672	16	21	it	it	PRON
ap-7672	16	22	can	can	AUX
ap-7672	16	23	be	be	AUX
ap-7672	16	24	said	say	VERB
ap-7672	16	25	that	that	SCONJ
ap-7672	16	26	the	the	DET
ap-7672	16	27	extensions	extension	NOUN
ap-7672	16	28	are	be	AUX
ap-7672	16	29	equivalent	equivalent	ADJ
ap-7672	16	30	[	[	X
ap-7672	16	31	6	6	NUM
ap-7672	16	32	,	,	PUNCT
ap-7672	16	33	7	7	NUM
ap-7672	16	34	]	]	PUNCT
ap-7672	16	35	.	.	PUNCT
ap-7672	17	1	equivalent	equivalent	ADJ
ap-7672	17	2	rational	rational	ADJ
ap-7672	17	3	extensions	extension	NOUN
ap-7672	17	4	of	of	ADP
ap-7672	17	5	the	the	DET
ap-7672	17	6	quantum	quantum	ADJ
ap-7672	17	7	harmonic	harmonic	NOUN
ap-7672	17	8	oscillator	oscillator	NOUN
ap-7672	17	9	are	be	AUX
ap-7672	17	10	very	very	ADV
ap-7672	17	11	attractive	attractive	ADJ
ap-7672	17	12	in	in	ADP
ap-7672	17	13	mathematical	mathematical	ADJ
ap-7672	17	14	physics	physics	NOUN
ap-7672	17	15	since	since	SCONJ
ap-7672	17	16	its	its	PRON
ap-7672	17	17	eigenstates	eigenstate	NOUN
ap-7672	17	18	are	be	AUX
ap-7672	17	19	written	write	VERB
ap-7672	17	20	in	in	ADP
ap-7672	17	21	terms	term	NOUN
ap-7672	17	22	of	of	ADP
ap-7672	17	23	exceptional	exceptional	ADJ
ap-7672	17	24	orthogonal	orthogonal	ADJ
ap-7672	17	25	polynomials	polynomial	NOUN
ap-7672	17	26	and	and	CCONJ
ap-7672	17	27	the	the	DET
ap-7672	17	28	results	result	NOUN
ap-7672	17	29	are	be	AUX
ap-7672	17	30	useful	useful	ADJ
ap-7672	17	31	for	for	ADP
ap-7672	17	32	studying	study	VERB
ap-7672	17	33	superintegrable	superintegrable	ADJ
ap-7672	17	34	systems	system	NOUN
ap-7672	17	35	or	or	CCONJ
ap-7672	17	36	generating	generate	VERB
ap-7672	17	37	solutions	solution	NOUN
ap-7672	17	38	to	to	ADP
ap-7672	17	39	the	the	DET
ap-7672	17	40	painlevé	painlevé	NOUN
ap-7672	17	41	equations	equation	NOUN
ap-7672	18	1	[	[	X
ap-7672	18	2	8–10	8–10	NOUN
ap-7672	18	3	]	]	PUNCT
ap-7672	18	4	.	.	PUNCT
ap-7672	19	1	in	in	ADP
ap-7672	19	2	a	a	DET
ap-7672	19	3	recent	recent	ADJ
ap-7672	19	4	work	work	NOUN
ap-7672	19	5	of	of	ADP
ap-7672	19	6	the	the	DET
ap-7672	19	7	authors	author	NOUN
ap-7672	19	8	[	[	X
ap-7672	19	9	11	11	NUM
ap-7672	19	10	]	]	PUNCT
ap-7672	19	11	,	,	PUNCT
ap-7672	19	12	it	it	PRON
ap-7672	19	13	was	be	AUX
ap-7672	19	14	shown	show	VERB
ap-7672	19	15	that	that	SCONJ
ap-7672	19	16	the	the	DET
ap-7672	19	17	equivalence	equivalence	NOUN
ap-7672	19	18	between	between	ADP
ap-7672	19	19	susy	susy	NOUN
ap-7672	19	20	transformations	transformation	NOUN
ap-7672	19	21	goes	go	VERB
ap-7672	19	22	beyond	beyond	ADP
ap-7672	19	23	rational	rational	ADJ
ap-7672	19	24	extensions	extension	NOUN
ap-7672	19	25	and	and	CCONJ
ap-7672	19	26	can	can	AUX
ap-7672	19	27	be	be	AUX
ap-7672	19	28	extended	extend	VERB
ap-7672	19	29	to	to	ADP
ap-7672	19	30	non	non	ADJ
ap-7672	19	31	-	-	ADJ
ap-7672	19	32	rational	rational	ADJ
ap-7672	19	33	extensions	extension	NOUN
ap-7672	19	34	of	of	ADP
ap-7672	19	35	the	the	DET
ap-7672	19	36	harmonic	harmonic	ADJ
ap-7672	19	37	oscillator	oscillator	NOUN
ap-7672	19	38	,	,	PUNCT
ap-7672	19	39	i.e.	i.e.	X
ap-7672	19	40	extensions	extension	NOUN
ap-7672	19	41	whose	whose	DET
ap-7672	19	42	potentials	potential	NOUN
ap-7672	19	43	can	can	AUX
ap-7672	19	44	not	not	PART
ap-7672	19	45	be	be	AUX
ap-7672	19	46	written	write	VERB
ap-7672	19	47	as	as	ADP
ap-7672	19	48	the	the	DET
ap-7672	19	49	quotient	quotient	NOUN
ap-7672	19	50	of	of	ADP
ap-7672	19	51	two	two	NUM
ap-7672	19	52	polynomials	polynomial	NOUN
ap-7672	19	53	,	,	PUNCT
ap-7672	19	54	by	by	ADP
ap-7672	19	55	considering	consider	VERB
ap-7672	19	56	not	not	PART
ap-7672	19	57	only	only	ADV
ap-7672	19	58	polynomial	polynomial	ADJ
ap-7672	19	59	solutions	solution	NOUN
ap-7672	19	60	but	but	CCONJ
ap-7672	19	61	also	also	ADV
ap-7672	19	62	general	general	ADJ
ap-7672	19	63	solutions	solution	NOUN
ap-7672	19	64	of	of	ADP
ap-7672	19	65	the	the	DET
ap-7672	19	66	schrödinger	schrödinger	ADJ
ap-7672	19	67	equation	equation	NOUN
ap-7672	19	68	.	.	PUNCT
ap-7672	20	1	however	however	ADV
ap-7672	20	2	,	,	PUNCT
ap-7672	20	3	since	since	SCONJ
ap-7672	20	4	the	the	DET
ap-7672	20	5	birth	birth	NOUN
ap-7672	20	6	of	of	ADP
ap-7672	20	7	quantum	quantum	ADJ
ap-7672	20	8	theory	theory	NOUN
ap-7672	20	9	,	,	PUNCT
ap-7672	20	10	it	it	PRON
ap-7672	20	11	has	have	AUX
ap-7672	20	12	been	be	AUX
ap-7672	20	13	relevant	relevant	ADJ
ap-7672	20	14	to	to	PART
ap-7672	20	15	study	study	VERB
ap-7672	20	16	the	the	DET
ap-7672	20	17	quantum	quantum	ADJ
ap-7672	20	18	states	state	NOUN
ap-7672	20	19	at	at	ADP
ap-7672	20	20	the	the	DET
ap-7672	20	21	border	border	NOUN
ap-7672	20	22	between	between	ADP
ap-7672	20	23	classical	classical	ADJ
ap-7672	20	24	and	and	CCONJ
ap-7672	20	25	quantum	quantum	ADJ
ap-7672	20	26	regimes	regime	NOUN
ap-7672	20	27	.	.	PUNCT
ap-7672	21	1	in	in	ADP
ap-7672	21	2	this	this	DET
ap-7672	21	3	sense	sense	NOUN
ap-7672	21	4	,	,	PUNCT
ap-7672	21	5	it	it	PRON
ap-7672	21	6	is	be	AUX
ap-7672	21	7	well	well	ADV
ap-7672	21	8	-	-	PUNCT
ap-7672	21	9	known	know	VERB
ap-7672	21	10	that	that	SCONJ
ap-7672	21	11	schrödinger	schrödinger	NOUN
ap-7672	21	12	,	,	PUNCT
ap-7672	21	13	in	in	ADP
ap-7672	21	14	1926	1926	NUM
ap-7672	22	1	[	[	X
ap-7672	22	2	12	12	NUM
ap-7672	22	3	]	]	PUNCT
ap-7672	22	4	,	,	PUNCT
ap-7672	22	5	derived	derive	VERB
ap-7672	22	6	quantum	quantum	NOUN
ap-7672	22	7	states	state	NOUN
ap-7672	22	8	of	of	ADP
ap-7672	22	9	the	the	DET
ap-7672	22	10	harmonic	harmonic	ADJ
ap-7672	22	11	oscillator	oscillator	NOUN
ap-7672	22	12	that	that	PRON
ap-7672	22	13	resemble	resemble	VERB
ap-7672	22	14	classical	classical	ADJ
ap-7672	22	15	behaviour	behaviour	NOUN
ap-7672	22	16	on	on	ADP
ap-7672	22	17	the	the	DET
ap-7672	22	18	phase	phase	NOUN
ap-7672	22	19	-	-	PUNCT
ap-7672	22	20	space	space	NOUN
ap-7672	22	21	as	as	SCONJ
ap-7672	22	22	the	the	DET
ap-7672	22	23	classical	classical	ADJ
ap-7672	22	24	oscillator	oscillator	NOUN
ap-7672	22	25	does	do	VERB
ap-7672	22	26	.	.	PUNCT
ap-7672	23	1	later	later	ADV
ap-7672	23	2	on	on	ADV
ap-7672	23	3	,	,	PUNCT
ap-7672	23	4	in	in	ADP
ap-7672	23	5	1962	1962	NUM
ap-7672	23	6	,	,	PUNCT
ap-7672	23	7	glauber	glauber	PROPN
ap-7672	23	8	rediscovered	rediscover	VERB
ap-7672	23	9	these	these	DET
ap-7672	23	10	states	state	NOUN
ap-7672	23	11	,	,	PUNCT
ap-7672	23	12	known	know	VERB
ap-7672	23	13	as	as	ADP
ap-7672	23	14	coherent	coherent	ADJ
ap-7672	23	15	states	state	NOUN
ap-7672	23	16	,	,	PUNCT
ap-7672	23	17	and	and	CCONJ
ap-7672	23	18	found	find	VERB
ap-7672	23	19	that	that	SCONJ
ap-7672	23	20	they	they	PRON
ap-7672	23	21	provided	provide	VERB
ap-7672	23	22	the	the	DET
ap-7672	23	23	quantum	quantum	ADJ
ap-7672	23	24	description	description	NOUN
ap-7672	23	25	of	of	ADP
ap-7672	23	26	coherent	coherent	ADJ
ap-7672	23	27	light	light	NOUN
ap-7672	23	28	[	[	X
ap-7672	23	29	13	13	NUM
ap-7672	23	30	]	]	PUNCT
ap-7672	23	31	.	.	PUNCT
ap-7672	24	1	since	since	SCONJ
ap-7672	24	2	then	then	ADV
ap-7672	24	3	,	,	PUNCT
ap-7672	24	4	there	there	PRON
ap-7672	24	5	has	have	AUX
ap-7672	24	6	been	be	AUX
ap-7672	24	7	a	a	DET
ap-7672	24	8	continuous	continuous	ADJ
ap-7672	24	9	research	research	NOUN
ap-7672	24	10	activity	activity	NOUN
ap-7672	24	11	in	in	ADP
ap-7672	24	12	quantum	quantum	ADJ
ap-7672	24	13	physics	physics	NOUN
ap-7672	24	14	looking	look	VERB
ap-7672	24	15	for	for	ADP
ap-7672	24	16	quantum	quantum	ADJ
ap-7672	24	17	states	state	NOUN
ap-7672	24	18	with	with	ADP
ap-7672	24	19	a	a	DET
ap-7672	24	20	behaviour	behaviour	NOUN
ap-7672	24	21	at	at	ADP
ap-7672	24	22	the	the	DET
ap-7672	24	23	border	border	NOUN
ap-7672	24	24	between	between	ADP
ap-7672	24	25	classical	classical	ADJ
ap-7672	24	26	and	and	CCONJ
ap-7672	24	27	quantum	quantum	ADJ
ap-7672	24	28	regimes	regime	NOUN
ap-7672	24	29	by	by	ADP
ap-7672	24	30	examining	examine	VERB
ap-7672	24	31	semi	semi	ADJ
ap-7672	24	32	-	-	ADJ
ap-7672	24	33	classical	classical	ADJ
ap-7672	24	34	phase	phase	NOUN
ap-7672	24	35	-	-	PUNCT
ap-7672	24	36	space	space	NOUN
ap-7672	24	37	properties	property	NOUN
ap-7672	24	38	,	,	PUNCT
ap-7672	24	39	in	in	ADP
ap-7672	24	40	particular	particular	ADJ
ap-7672	24	41	,	,	PUNCT
ap-7672	24	42	by	by	ADP
ap-7672	24	43	systems	system	NOUN
ap-7672	24	44	generated	generate	VERB
ap-7672	24	45	by	by	ADP
ap-7672	24	46	susy	susy	NOUN
ap-7672	24	47	[	[	X
ap-7672	24	48	4	4	NUM
ap-7672	24	49	,	,	PUNCT
ap-7672	24	50	14–20	14–20	NUM
ap-7672	24	51	]	]	PUNCT
ap-7672	24	52	.	.	PUNCT
ap-7672	25	1	the	the	DET
ap-7672	25	2	coherent	coherent	ADJ
ap-7672	25	3	states	state	NOUN
ap-7672	25	4	of	of	ADP
ap-7672	25	5	the	the	DET
ap-7672	25	6	harmonic	harmonic	ADJ
ap-7672	25	7	oscillator	oscillator	NOUN
ap-7672	25	8	are	be	AUX
ap-7672	25	9	gaussian	gaussian	ADJ
ap-7672	25	10	states	state	NOUN
ap-7672	25	11	,	,	PUNCT
ap-7672	25	12	labeled	label	VERB
ap-7672	25	13	by	by	ADP
ap-7672	25	14	a	a	DET
ap-7672	25	15	complex	complex	ADJ
ap-7672	25	16	number	number	NOUN
ap-7672	25	17	z	z	NOUN
ap-7672	25	18	,	,	PUNCT
ap-7672	25	19	that	that	PRON
ap-7672	25	20	minimize	minimize	VERB
ap-7672	25	21	the	the	DET
ap-7672	25	22	heisenberg	heisenberg	PROPN
ap-7672	25	23	uncertainty	uncertainty	PROPN
ap-7672	25	24	relation	relation	NOUN
ap-7672	25	25	.	.	PUNCT
ap-7672	26	1	they	they	PRON
ap-7672	26	2	can	can	AUX
ap-7672	26	3	be	be	AUX
ap-7672	26	4	constructed	construct	VERB
ap-7672	26	5	either	either	CCONJ
ap-7672	26	6	as	as	ADP
ap-7672	26	7	displaced	displace	VERB
ap-7672	26	8	versions	version	NOUN
ap-7672	26	9	of	of	ADP
ap-7672	26	10	the	the	DET
ap-7672	26	11	ground	ground	NOUN
ap-7672	26	12	state	state	NOUN
ap-7672	26	13	or	or	CCONJ
ap-7672	26	14	as	as	ADP
ap-7672	26	15	eigenvectors	eigenvector	NOUN
ap-7672	26	16	of	of	ADP
ap-7672	26	17	the	the	DET
ap-7672	26	18	annihilation	annihilation	NOUN
ap-7672	26	19	operator	operator	NOUN
ap-7672	26	20	.	.	PUNCT
ap-7672	27	1	moreover	moreover	ADV
ap-7672	27	2	,	,	PUNCT
ap-7672	27	3	they	they	PRON
ap-7672	27	4	form	form	VERB
ap-7672	27	5	an	an	DET
ap-7672	27	6	overcomplete	overcomplete	NOUN
ap-7672	27	7	set	set	NOUN
ap-7672	27	8	in	in	ADP
ap-7672	27	9	the	the	DET
ap-7672	27	10	sense	sense	NOUN
ap-7672	27	11	that	that	SCONJ
ap-7672	27	12	1	1	NUM
ap-7672	27	13	π	π	NUM
ap-7672	27	14	∫	∫	X
ap-7672	27	15	c	c	PROPN
ap-7672	27	16	|z⟩	|z⟩	PROPN
ap-7672	27	17	⟨z|	⟨z|	NOUN
ap-7672	27	18	d2z	d2z	X
ap-7672	27	19	=	=	NOUN
ap-7672	28	1	1	1	X
ap-7672	28	2	.	.	PUNCT
ap-7672	28	3	(	(	PUNCT
ap-7672	28	4	1	1	X
ap-7672	28	5	)	)	PUNCT
ap-7672	28	6	these	these	DET
ap-7672	28	7	four	four	NUM
ap-7672	28	8	properties	property	NOUN
ap-7672	28	9	are	be	AUX
ap-7672	28	10	commonly	commonly	ADV
ap-7672	28	11	used	use	VERB
ap-7672	28	12	as	as	ADP
ap-7672	28	13	definitions	definition	NOUN
ap-7672	28	14	of	of	ADP
ap-7672	28	15	coherent	coherent	ADJ
ap-7672	28	16	states	state	NOUN
ap-7672	28	17	when	when	SCONJ
ap-7672	28	18	we	we	PRON
ap-7672	28	19	have	have	VERB
ap-7672	28	20	a	a	DET
ap-7672	28	21	potential	potential	ADJ
ap-7672	28	22	different	different	ADJ
ap-7672	28	23	from	from	ADP
ap-7672	28	24	the	the	DET
ap-7672	28	25	harmonic	harmonic	ADJ
ap-7672	28	26	oscillator	oscillator	NOUN
ap-7672	28	27	,	,	PUNCT
ap-7672	28	28	see	see	VERB
ap-7672	28	29	for	for	ADP
ap-7672	28	30	example	example	NOUN
ap-7672	28	31	[	[	X
ap-7672	28	32	21–25	21–25	NUM
ap-7672	28	33	]	]	PUNCT
ap-7672	28	34	.	.	PUNCT
ap-7672	29	1	each	each	DET
ap-7672	29	2	definition	definition	NOUN
ap-7672	29	3	gives	give	VERB
ap-7672	29	4	,	,	PUNCT
ap-7672	29	5	in	in	ADP
ap-7672	29	6	general	general	ADJ
ap-7672	29	7	,	,	PUNCT
ap-7672	29	8	different	different	ADJ
ap-7672	29	9	sets	set	NOUN
ap-7672	29	10	of	of	ADP
ap-7672	29	11	coherent	coherent	ADJ
ap-7672	29	12	states	state	NOUN
ap-7672	29	13	.	.	PUNCT
ap-7672	30	1	in	in	ADP
ap-7672	30	2	this	this	DET
ap-7672	30	3	work	work	NOUN
ap-7672	30	4	,	,	PUNCT
ap-7672	30	5	we	we	PRON
ap-7672	30	6	obtain	obtain	VERB
ap-7672	30	7	coherent	coherent	ADJ
ap-7672	30	8	states	state	NOUN
ap-7672	30	9	of	of	ADP
ap-7672	30	10	non	non	ADJ
ap-7672	30	11	-	-	ADJ
ap-7672	30	12	rational	rational	ADJ
ap-7672	30	13	extensions	extension	NOUN
ap-7672	30	14	of	of	ADP
ap-7672	30	15	the	the	DET
ap-7672	30	16	harmonic	harmonic	ADJ
ap-7672	30	17	oscillator	oscillator	NOUN
ap-7672	30	18	as	as	ADP
ap-7672	30	19	eigenvectors	eigenvector	NOUN
ap-7672	30	20	of	of	ADP
ap-7672	30	21	the	the	DET
ap-7672	30	22	annihilation	annihilation	NOUN
ap-7672	30	23	operator	operator	NOUN
ap-7672	30	24	.	.	PUNCT
ap-7672	31	1	30	30	NUM
ap-7672	31	2	https://doi.org/10.14311/ap.2022.62.0030	https://doi.org/10.14311/ap.2022.62.0030	NOUN
ap-7672	31	3	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-7672	31	4	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-7672	31	5	vol	vol	NOUN
ap-7672	31	6	.	.	PROPN
ap-7672	32	1	62	62	NUM
ap-7672	32	2	no	no	INTJ
ap-7672	32	3	.	.	PUNCT
ap-7672	33	1	1/2022	1/2022	NUM
ap-7672	33	2	linearised	linearise	VERB
ap-7672	33	3	cs	cs	PROPN
ap-7672	33	4	for	for	ADP
ap-7672	33	5	non	non	ADJ
ap-7672	33	6	-	-	ADJ
ap-7672	33	7	rational	rational	ADJ
ap-7672	33	8	susy	susy	NOUN
ap-7672	33	9	extensions	extension	NOUN
ap-7672	33	10	of	of	ADP
ap-7672	33	11	the	the	DET
ap-7672	33	12	ho	ho	PROPN
ap-7672	33	13	for	for	ADP
ap-7672	33	14	this	this	DET
ap-7672	33	15	purpose	purpose	NOUN
ap-7672	33	16	,	,	PUNCT
ap-7672	33	17	we	we	PRON
ap-7672	33	18	need	need	VERB
ap-7672	33	19	to	to	PART
ap-7672	33	20	find	find	VERB
ap-7672	33	21	ladder	ladder	NOUN
ap-7672	33	22	operators	operator	NOUN
ap-7672	33	23	of	of	ADP
ap-7672	33	24	the	the	DET
ap-7672	33	25	system	system	NOUN
ap-7672	33	26	.	.	PUNCT
ap-7672	34	1	the	the	DET
ap-7672	34	2	outline	outline	NOUN
ap-7672	34	3	of	of	ADP
ap-7672	34	4	the	the	DET
ap-7672	34	5	work	work	NOUN
ap-7672	34	6	is	be	AUX
ap-7672	34	7	the	the	DET
ap-7672	34	8	following	following	NOUN
ap-7672	34	9	:	:	PUNCT
ap-7672	34	10	in	in	ADP
ap-7672	34	11	the	the	DET
ap-7672	34	12	next	next	ADJ
ap-7672	34	13	section	section	NOUN
ap-7672	34	14	,	,	PUNCT
ap-7672	34	15	we	we	PRON
ap-7672	34	16	present	present	VERB
ap-7672	34	17	a	a	DET
ap-7672	34	18	short	short	ADJ
ap-7672	34	19	summary	summary	NOUN
ap-7672	34	20	of	of	ADP
ap-7672	34	21	susy	susy	NOUN
ap-7672	34	22	.	.	PUNCT
ap-7672	35	1	in	in	ADP
ap-7672	35	2	section	section	NOUN
ap-7672	35	3	3	3	NUM
ap-7672	35	4	,	,	PUNCT
ap-7672	35	5	we	we	PRON
ap-7672	35	6	generate	generate	VERB
ap-7672	35	7	two	two	NUM
ap-7672	35	8	equivalent	equivalent	ADJ
ap-7672	35	9	non	non	ADJ
ap-7672	35	10	-	-	ADJ
ap-7672	35	11	rational	rational	ADJ
ap-7672	35	12	extensions	extension	NOUN
ap-7672	35	13	of	of	ADP
ap-7672	35	14	the	the	DET
ap-7672	35	15	harmonic	harmonic	ADJ
ap-7672	35	16	oscillator	oscillator	NOUN
ap-7672	35	17	.	.	PUNCT
ap-7672	36	1	then	then	ADV
ap-7672	36	2	,	,	PUNCT
ap-7672	36	3	we	we	PRON
ap-7672	36	4	construct	construct	VERB
ap-7672	36	5	ladder	ladder	NOUN
ap-7672	36	6	operators	operator	NOUN
ap-7672	36	7	as	as	ADP
ap-7672	36	8	the	the	DET
ap-7672	36	9	product	product	NOUN
ap-7672	36	10	of	of	ADP
ap-7672	36	11	the	the	DET
ap-7672	36	12	intertwining	intertwine	VERB
ap-7672	36	13	operators	operator	NOUN
ap-7672	36	14	of	of	ADP
ap-7672	36	15	the	the	DET
ap-7672	36	16	susy	susy	NOUN
ap-7672	36	17	transformations	transformation	NOUN
ap-7672	36	18	.	.	PUNCT
ap-7672	37	1	in	in	ADP
ap-7672	37	2	the	the	DET
ap-7672	37	3	section	section	NOUN
ap-7672	37	4	4	4	NUM
ap-7672	37	5	,	,	PUNCT
ap-7672	37	6	we	we	PRON
ap-7672	37	7	linearise	linearise	VERB
ap-7672	37	8	the	the	DET
ap-7672	37	9	ladder	ladder	NOUN
ap-7672	37	10	operators	operator	NOUN
ap-7672	37	11	to	to	PART
ap-7672	37	12	obtain	obtain	VERB
ap-7672	37	13	a	a	DET
ap-7672	37	14	linear	linear	ADJ
ap-7672	37	15	commutation	commutation	NOUN
ap-7672	37	16	relationship	relationship	NOUN
ap-7672	37	17	,	,	PUNCT
ap-7672	37	18	then	then	ADV
ap-7672	37	19	,	,	PUNCT
ap-7672	37	20	we	we	PRON
ap-7672	37	21	derive	derive	VERB
ap-7672	37	22	coherent	coherent	ADJ
ap-7672	37	23	states	state	NOUN
ap-7672	37	24	as	as	ADP
ap-7672	37	25	eigenstates	eigenstate	NOUN
ap-7672	37	26	of	of	ADP
ap-7672	37	27	the	the	DET
ap-7672	37	28	annihilation	annihilation	NOUN
ap-7672	37	29	operator	operator	NOUN
ap-7672	37	30	and	and	CCONJ
ap-7672	37	31	study	study	VERB
ap-7672	37	32	some	some	PRON
ap-7672	37	33	of	of	ADP
ap-7672	37	34	their	their	PRON
ap-7672	37	35	properties	property	NOUN
ap-7672	37	36	.	.	PUNCT
ap-7672	38	1	our	our	PRON
ap-7672	38	2	conclusions	conclusion	NOUN
ap-7672	38	3	are	be	AUX
ap-7672	38	4	presented	present	VERB
ap-7672	38	5	in	in	ADP
ap-7672	38	6	the	the	DET
ap-7672	38	7	last	last	ADJ
ap-7672	38	8	section	section	NOUN
ap-7672	38	9	.	.	PUNCT
ap-7672	39	1	2	2	X
ap-7672	39	2	.	.	X
ap-7672	39	3	supersymmetric	supersymmetric	ADJ
ap-7672	39	4	quantum	quantum	ADJ
ap-7672	39	5	mechanics	mechanic	NOUN
ap-7672	39	6	with	with	ADP
ap-7672	39	7	this	this	DET
ap-7672	39	8	technique	technique	NOUN
ap-7672	39	9	,	,	PUNCT
ap-7672	39	10	we	we	PRON
ap-7672	39	11	start	start	VERB
ap-7672	39	12	with	with	ADP
ap-7672	39	13	two	two	NUM
ap-7672	39	14	hamiltonians	hamiltonian	NOUN
ap-7672	39	15	h	h	NOUN
ap-7672	40	1	=	=	SYM
ap-7672	40	2	−1	−1	NOUN
ap-7672	40	3	2	2	NUM
ap-7672	40	4	d2	d2	PROPN
ap-7672	40	5	dx2	dx2	PROPN
ap-7672	40	6	+	+	CCONJ
ap-7672	40	7	v	v	PROPN
ap-7672	40	8	(	(	PUNCT
ap-7672	40	9	x	x	NOUN
ap-7672	40	10	)	)	PUNCT
ap-7672	40	11	,	,	PUNCT
ap-7672	40	12	h̃	h̃	PROPN
ap-7672	40	13	=	=	SYM
ap-7672	40	14	−1	−1	NOUN
ap-7672	40	15	2	2	NUM
ap-7672	40	16	d2	d2	PROPN
ap-7672	40	17	dx2	dx2	PROPN
ap-7672	40	18	+	+	CCONJ
ap-7672	40	19	ṽ	ṽ	PROPN
ap-7672	40	20	(	(	PUNCT
ap-7672	40	21	x	x	NOUN
ap-7672	40	22	)	)	PUNCT
ap-7672	40	23	,	,	PUNCT
ap-7672	40	24	(	(	PUNCT
ap-7672	40	25	2	2	X
ap-7672	40	26	)	)	PUNCT
ap-7672	40	27	where	where	SCONJ
ap-7672	40	28	h	h	NOUN
ap-7672	40	29	is	be	AUX
ap-7672	40	30	the	the	DET
ap-7672	40	31	initial	initial	ADJ
ap-7672	40	32	hamiltonian	hamiltonian	NOUN
ap-7672	40	33	with	with	ADP
ap-7672	40	34	known	know	VERB
ap-7672	40	35	eigenfunctions	eigenfunction	NOUN
ap-7672	40	36	ψn(x	ψn(x	ADP
ap-7672	40	37	)	)	PUNCT
ap-7672	40	38	and	and	CCONJ
ap-7672	40	39	eigenvalues	eigenvalue	VERB
ap-7672	40	40	en	en	ADV
ap-7672	40	41	,	,	PUNCT
ap-7672	40	42	n	n	PROPN
ap-7672	40	43	=	=	SYM
ap-7672	40	44	0	0	NUM
ap-7672	40	45	,	,	PUNCT
ap-7672	40	46	1	1	NUM
ap-7672	40	47	,	,	PUNCT
ap-7672	40	48	2	2	NUM
ap-7672	40	49	,	,	PUNCT
ap-7672	40	50	.	.	PUNCT
ap-7672	40	51	.	.	PUNCT
ap-7672	40	52	.	.	PUNCT
ap-7672	41	1	,	,	PUNCT
ap-7672	41	2	whereas	whereas	SCONJ
ap-7672	41	3	h̃	h̃	PROPN
ap-7672	41	4	is	be	AUX
ap-7672	41	5	the	the	DET
ap-7672	41	6	hamiltonian	hamiltonian	NOUN
ap-7672	41	7	under	under	ADP
ap-7672	41	8	construction	construction	NOUN
ap-7672	41	9	.	.	PUNCT
ap-7672	42	1	the	the	DET
ap-7672	42	2	potential	potential	ADJ
ap-7672	42	3	ṽ	ṽ	PROPN
ap-7672	42	4	is	be	AUX
ap-7672	42	5	known	know	VERB
ap-7672	42	6	as	as	ADP
ap-7672	42	7	the	the	DET
ap-7672	42	8	extension	extension	NOUN
ap-7672	42	9	or	or	CCONJ
ap-7672	42	10	supersymmetric	supersymmetric	ADJ
ap-7672	42	11	partner	partner	NOUN
ap-7672	42	12	of	of	ADP
ap-7672	42	13	v	v	NOUN
ap-7672	42	14	.	.	PUNCT
ap-7672	43	1	now	now	ADV
ap-7672	43	2	,	,	PUNCT
ap-7672	43	3	we	we	PRON
ap-7672	43	4	propose	propose	VERB
ap-7672	43	5	the	the	DET
ap-7672	43	6	existence	existence	NOUN
ap-7672	43	7	of	of	ADP
ap-7672	43	8	k	k	X
ap-7672	43	9	-	-	PUNCT
ap-7672	43	10	th	th	VERB
ap-7672	43	11	order	order	NOUN
ap-7672	43	12	differential	differential	NOUN
ap-7672	43	13	operators	operator	NOUN
ap-7672	43	14	b	b	NOUN
ap-7672	43	15	,	,	PUNCT
ap-7672	43	16	b+	b+	VERB
ap-7672	43	17	that	that	PRON
ap-7672	43	18	intertwine	intertwine	PROPN
ap-7672	43	19	h	h	NOUN
ap-7672	43	20	and	and	CCONJ
ap-7672	43	21	h̃	h̃	PROPN
ap-7672	43	22	as	as	ADP
ap-7672	43	23	h̃b+	h̃b+	PROPN
ap-7672	43	24	=	=	SYM
ap-7672	43	25	b+h	b+h	PROPN
ap-7672	43	26	,	,	PUNCT
ap-7672	43	27	bh̃	bh̃	PUNCT
ap-7672	43	28	=	=	SYM
ap-7672	43	29	hb	hb	PROPN
ap-7672	43	30	.	.	PUNCT
ap-7672	44	1	(	(	PUNCT
ap-7672	44	2	3	3	X
ap-7672	44	3	)	)	PUNCT
ap-7672	44	4	by	by	ADP
ap-7672	44	5	properly	properly	ADV
ap-7672	44	6	choosing	choose	VERB
ap-7672	44	7	k	k	PROPN
ap-7672	44	8	general	general	PROPN
ap-7672	44	9	solutions	solutions	PROPN
ap-7672	44	10	uj	uj	PROPN
ap-7672	44	11	(	(	PUNCT
ap-7672	44	12	j	j	NOUN
ap-7672	44	13	=	=	SYM
ap-7672	44	14	1	1	NUM
ap-7672	44	15	,	,	PUNCT
ap-7672	44	16	2	2	NUM
ap-7672	44	17	,	,	PUNCT
ap-7672	44	18	.	.	PUNCT
ap-7672	44	19	.	.	PUNCT
ap-7672	44	20	.	.	PUNCT
ap-7672	45	1	,	,	PUNCT
ap-7672	45	2	k	k	X
ap-7672	45	3	)	)	PUNCT
ap-7672	45	4	of	of	ADP
ap-7672	45	5	the	the	DET
ap-7672	45	6	stationary	stationary	ADJ
ap-7672	45	7	schrödinger	schrödinger	ADJ
ap-7672	45	8	equation	equation	NOUN
ap-7672	45	9	huj	huj	PROPN
ap-7672	45	10	=	=	X
ap-7672	45	11	ϵjuj	ϵjuj	PROPN
ap-7672	45	12	,	,	PUNCT
ap-7672	45	13	with	with	ADP
ap-7672	45	14	corresponding	correspond	VERB
ap-7672	45	15	energies	energy	NOUN
ap-7672	45	16	ϵj	ϵj	INTJ
ap-7672	45	17	,	,	PUNCT
ap-7672	45	18	the	the	DET
ap-7672	45	19	susy	susy	PROPN
ap-7672	45	20	partner	partner	PROPN
ap-7672	45	21	potential	potential	ADJ
ap-7672	45	22	ṽ	ṽ	PROPN
ap-7672	45	23	(	(	PUNCT
ap-7672	45	24	x	x	NOUN
ap-7672	45	25	)	)	PUNCT
ap-7672	45	26	reads	read	VERB
ap-7672	45	27	ṽ	ṽ	PROPN
ap-7672	45	28	(	(	PUNCT
ap-7672	45	29	x	x	NOUN
ap-7672	45	30	)	)	PUNCT
ap-7672	45	31	=	=	SYM
ap-7672	45	32	v	v	X
ap-7672	45	33	(	(	PUNCT
ap-7672	45	34	x	x	NOUN
ap-7672	45	35	)	)	PUNCT
ap-7672	45	36	−	−	PROPN
ap-7672	46	1	[	[	X
ap-7672	46	2	lnw	lnw	ADJ
ap-7672	46	3	(	(	PUNCT
ap-7672	46	4	u1	u1	NOUN
ap-7672	46	5	,	,	PUNCT
ap-7672	46	6	u2	u2	NOUN
ap-7672	46	7	,	,	PUNCT
ap-7672	46	8	.	.	PUNCT
ap-7672	46	9	.	.	PUNCT
ap-7672	46	10	.	.	PUNCT
ap-7672	47	1	,	,	PUNCT
ap-7672	47	2	uk)]′′	uk)]′′	PROPN
ap-7672	47	3	,	,	PUNCT
ap-7672	47	4	(	(	PUNCT
ap-7672	47	5	4	4	X
ap-7672	47	6	)	)	PUNCT
ap-7672	47	7	where	where	SCONJ
ap-7672	47	8	w	w	PROPN
ap-7672	47	9	(	(	PUNCT
ap-7672	47	10	f1	f1	NOUN
ap-7672	47	11	,	,	PUNCT
ap-7672	47	12	f2	f2	PROPN
ap-7672	47	13	,	,	PUNCT
ap-7672	47	14	.	.	PUNCT
ap-7672	47	15	.	.	PUNCT
ap-7672	48	1	.	.	PUNCT
ap-7672	49	1	,	,	PUNCT
ap-7672	49	2	fk	fk	INTJ
ap-7672	49	3	)	)	PUNCT
ap-7672	49	4	denotes	denote	VERB
ap-7672	49	5	the	the	DET
ap-7672	49	6	wronskian	wronskian	NOUN
ap-7672	49	7	of	of	ADP
ap-7672	49	8	the	the	DET
ap-7672	49	9	functions	function	NOUN
ap-7672	49	10	in	in	ADP
ap-7672	49	11	its	its	PRON
ap-7672	49	12	argument	argument	NOUN
ap-7672	49	13	.	.	PUNCT
ap-7672	50	1	the	the	DET
ap-7672	50	2	functions	function	NOUN
ap-7672	50	3	uj	uj	PROPN
ap-7672	50	4	are	be	AUX
ap-7672	50	5	usually	usually	ADV
ap-7672	50	6	referred	refer	VERB
ap-7672	50	7	to	to	ADP
ap-7672	50	8	as	as	ADP
ap-7672	50	9	seed	seed	NOUN
ap-7672	50	10	solutions	solution	NOUN
ap-7672	50	11	and	and	CCONJ
ap-7672	50	12	the	the	DET
ap-7672	50	13	constant	constant	ADJ
ap-7672	50	14	ϵj	ϵj	NOUN
ap-7672	50	15	as	as	ADP
ap-7672	50	16	factorization	factorization	NOUN
ap-7672	50	17	energies	energy	NOUN
ap-7672	50	18	.	.	PUNCT
ap-7672	51	1	be	be	AUX
ap-7672	51	2	aware	aware	ADJ
ap-7672	51	3	that	that	SCONJ
ap-7672	51	4	to	to	PART
ap-7672	51	5	have	have	VERB
ap-7672	51	6	a	a	DET
ap-7672	51	7	regular	regular	ADJ
ap-7672	51	8	potential	potential	NOUN
ap-7672	51	9	,	,	PUNCT
ap-7672	51	10	we	we	PRON
ap-7672	51	11	must	must	AUX
ap-7672	51	12	choose	choose	VERB
ap-7672	51	13	the	the	DET
ap-7672	51	14	seed	seed	NOUN
ap-7672	51	15	solutions	solution	NOUN
ap-7672	51	16	in	in	ADP
ap-7672	51	17	such	such	DET
ap-7672	51	18	a	a	DET
ap-7672	51	19	way	way	NOUN
ap-7672	51	20	the	the	DET
ap-7672	51	21	wronskian	wronskian	NOUN
ap-7672	51	22	has	have	VERB
ap-7672	51	23	no	no	DET
ap-7672	51	24	zeroes	zero	NOUN
ap-7672	51	25	.	.	PUNCT
ap-7672	52	1	if	if	SCONJ
ap-7672	52	2	b+ψn	b+ψn	PROPN
ap-7672	52	3	̸=	̸=	PROPN
ap-7672	52	4	0	0	NUM
ap-7672	52	5	,	,	PUNCT
ap-7672	52	6	the	the	DET
ap-7672	52	7	eigenfunctions	eigenfunction	NOUN
ap-7672	52	8	ψ̃n	ψ̃n	PROPN
ap-7672	52	9	,	,	PUNCT
ap-7672	52	10	n	n	PROPN
ap-7672	52	11	=	=	SYM
ap-7672	52	12	0	0	NUM
ap-7672	52	13	,	,	PUNCT
ap-7672	52	14	1	1	NUM
ap-7672	52	15	,	,	PUNCT
ap-7672	52	16	.	.	PUNCT
ap-7672	52	17	.	.	PUNCT
ap-7672	53	1	.	.	PUNCT
ap-7672	54	1	,	,	PUNCT
ap-7672	54	2	of	of	ADP
ap-7672	54	3	h̃	h̃	PROPN
ap-7672	54	4	can	can	AUX
ap-7672	54	5	be	be	AUX
ap-7672	54	6	computed	compute	VERB
ap-7672	54	7	with	with	ADP
ap-7672	54	8	the	the	DET
ap-7672	54	9	relation	relation	NOUN
ap-7672	54	10	ψ̃n(x	ψ̃n(x	PART
ap-7672	54	11	)	)	PUNCT
ap-7672	55	1	=	=	SYM
ap-7672	55	2	b+ψn(x)√	b+ψn(x)√	X
ap-7672	55	3	(	(	PUNCT
ap-7672	55	4	en	en	ADP
ap-7672	55	5	−	−	PROPN
ap-7672	55	6	ϵ1	ϵ1	ADJ
ap-7672	55	7	)	)	PUNCT
ap-7672	55	8	.	.	PUNCT
ap-7672	55	9	.	.	PUNCT
ap-7672	55	10	.	.	PUNCT
ap-7672	56	1	(	(	PUNCT
ap-7672	56	2	en	en	ADP
ap-7672	56	3	−	−	NOUN
ap-7672	56	4	ϵk	ϵk	NOUN
ap-7672	56	5	)	)	PUNCT
ap-7672	56	6	=	=	SYM
ap-7672	56	7	1√	1√	PROPN
ap-7672	56	8	(	(	PUNCT
ap-7672	56	9	en	en	ADP
ap-7672	56	10	−	−	PROPN
ap-7672	56	11	ϵ1	ϵ1	ADJ
ap-7672	56	12	)	)	PUNCT
ap-7672	56	13	.	.	PUNCT
ap-7672	56	14	.	.	PUNCT
ap-7672	56	15	.	.	PUNCT
ap-7672	57	1	(	(	PUNCT
ap-7672	57	2	en	en	ADP
ap-7672	57	3	−	−	NOUN
ap-7672	57	4	ϵk	ϵk	NOUN
ap-7672	57	5	)	)	PUNCT
ap-7672	57	6	w	w	PROPN
ap-7672	57	7	(	(	PUNCT
ap-7672	57	8	u1	u1	PROPN
ap-7672	57	9	,	,	PUNCT
ap-7672	57	10	u2	u2	NOUN
ap-7672	57	11	,	,	PUNCT
ap-7672	57	12	.	.	PUNCT
ap-7672	57	13	.	.	PUNCT
ap-7672	57	14	.	.	PUNCT
ap-7672	58	1	,	,	PUNCT
ap-7672	58	2	uk	uk	PROPN
ap-7672	58	3	,	,	PUNCT
ap-7672	58	4	ψn	ψn	NUM
ap-7672	58	5	)	)	PUNCT
ap-7672	58	6	w	w	PROPN
ap-7672	58	7	(	(	PUNCT
ap-7672	58	8	u1	u1	PROPN
ap-7672	58	9	,	,	PUNCT
ap-7672	58	10	u2	u2	NOUN
ap-7672	58	11	,	,	PUNCT
ap-7672	58	12	.	.	PUNCT
ap-7672	58	13	.	.	PUNCT
ap-7672	59	1	.	.	PUNCT
ap-7672	60	1	,	,	PUNCT
ap-7672	60	2	uk	uk	PROPN
ap-7672	60	3	)	)	PUNCT
ap-7672	60	4	.	.	PUNCT
ap-7672	61	1	(	(	PUNCT
ap-7672	61	2	5	5	X
ap-7672	61	3	)	)	PUNCT
ap-7672	61	4	the	the	DET
ap-7672	61	5	constructed	construct	VERB
ap-7672	61	6	hamiltonian	hamiltonian	NOUN
ap-7672	61	7	h̃	h̃	PROPN
ap-7672	61	8	may	may	AUX
ap-7672	61	9	contain	contain	VERB
ap-7672	61	10	additional	additional	ADJ
ap-7672	61	11	eigenfunctions	eigenfunction	NOUN
ap-7672	61	12	ψ̃ϵi	ψ̃ϵi	PROPN
ap-7672	61	13	,	,	PUNCT
ap-7672	61	14	known	know	VERB
ap-7672	61	15	as	as	ADP
ap-7672	61	16	missing	miss	VERB
ap-7672	61	17	states	state	NOUN
ap-7672	61	18	,	,	PUNCT
ap-7672	61	19	for	for	ADP
ap-7672	61	20	some	some	PRON
ap-7672	61	21	of	of	ADP
ap-7672	61	22	the	the	DET
ap-7672	61	23	factorization	factorization	NOUN
ap-7672	61	24	energies	energy	NOUN
ap-7672	61	25	ϵi	ϵi	PROPN
ap-7672	61	26	,	,	PUNCT
ap-7672	61	27	given	give	VERB
ap-7672	61	28	by	by	ADP
ap-7672	61	29	ψ̃ϵi	ψ̃ϵi	NOUN
ap-7672	61	30	∝	∝	PROPN
ap-7672	61	31	w	w	PROPN
ap-7672	61	32	(	(	PUNCT
ap-7672	61	33	u1	u1	NOUN
ap-7672	61	34	,	,	PUNCT
ap-7672	61	35	.	.	PUNCT
ap-7672	61	36	.	.	PUNCT
ap-7672	62	1	.	.	PUNCT
ap-7672	63	1	,	,	PUNCT
ap-7672	63	2	ui−1	ui−1	PROPN
ap-7672	63	3	,	,	PUNCT
ap-7672	63	4	ui+1	ui+1	NOUN
ap-7672	63	5	,	,	PUNCT
ap-7672	63	6	.	.	PUNCT
ap-7672	63	7	.	.	PUNCT
ap-7672	64	1	.	.	PUNCT
ap-7672	65	1	,	,	PUNCT
ap-7672	65	2	uk	uk	PROPN
ap-7672	65	3	)	)	PUNCT
ap-7672	65	4	w	w	PROPN
ap-7672	65	5	(	(	PUNCT
ap-7672	65	6	u1	u1	NOUN
ap-7672	65	7	,	,	PUNCT
ap-7672	65	8	.	.	PUNCT
ap-7672	65	9	.	.	PUNCT
ap-7672	66	1	.	.	PUNCT
ap-7672	67	1	,	,	PUNCT
ap-7672	67	2	uk	uk	PROPN
ap-7672	67	3	)	)	PUNCT
ap-7672	67	4	.	.	PUNCT
ap-7672	68	1	(	(	PUNCT
ap-7672	68	2	6	6	X
ap-7672	68	3	)	)	PUNCT
ap-7672	68	4	if	if	SCONJ
ap-7672	68	5	ψ̃ϵj	ψ̃ϵj	VERB
ap-7672	68	6	fullfills	fullfill	VERB
ap-7672	68	7	the	the	DET
ap-7672	68	8	boundary	boundary	ADJ
ap-7672	68	9	conditions	condition	NOUN
ap-7672	68	10	of	of	ADP
ap-7672	68	11	the	the	DET
ap-7672	68	12	quantum	quantum	NOUN
ap-7672	68	13	problem	problem	NOUN
ap-7672	68	14	,	,	PUNCT
ap-7672	68	15	then	then	ADV
ap-7672	68	16	ϵj	ϵj	NOUN
ap-7672	68	17	must	must	AUX
ap-7672	68	18	be	be	AUX
ap-7672	68	19	included	include	VERB
ap-7672	68	20	in	in	ADP
ap-7672	68	21	the	the	DET
ap-7672	68	22	spectrum	spectrum	NOUN
ap-7672	68	23	of	of	ADP
ap-7672	68	24	h̃.	h̃.	PROPN
ap-7672	68	25	in	in	ADP
ap-7672	68	26	particular	particular	ADJ
ap-7672	68	27	,	,	PUNCT
ap-7672	68	28	for	for	ADP
ap-7672	68	29	second	second	ADJ
ap-7672	68	30	-	-	PUNCT
ap-7672	68	31	order	order	NOUN
ap-7672	68	32	supersymmetric	supersymmetric	ADJ
ap-7672	68	33	quantum	quantum	NOUN
ap-7672	68	34	mechanics	mechanic	NOUN
ap-7672	68	35	,	,	PUNCT
ap-7672	68	36	the	the	DET
ap-7672	68	37	intertwining	intertwine	VERB
ap-7672	68	38	operators	operator	NOUN
ap-7672	68	39	have	have	VERB
ap-7672	68	40	the	the	DET
ap-7672	68	41	explicit	explicit	ADJ
ap-7672	68	42	form	form	NOUN
ap-7672	69	1	[	[	X
ap-7672	69	2	26	26	NUM
ap-7672	69	3	]	]	X
ap-7672	69	4	b	b	NOUN
ap-7672	69	5	=	=	SYM
ap-7672	69	6	1	1	NUM
ap-7672	69	7	2	2	NUM
ap-7672	69	8	[	[	PUNCT
ap-7672	69	9	d2	d2	PROPN
ap-7672	69	10	dx2	dx2	PROPN
ap-7672	69	11	+	+	CCONJ
ap-7672	69	12	g(x	g(x	NOUN
ap-7672	69	13	)	)	PUNCT
ap-7672	70	1	d	d	NOUN
ap-7672	70	2	dx	dx	PROPN
ap-7672	70	3	+	+	CCONJ
ap-7672	70	4	g′(x	g′(x	X
ap-7672	70	5	)	)	PUNCT
ap-7672	71	1	+	+	CCONJ
ap-7672	71	2	h(x	h(x	PROPN
ap-7672	71	3	)	)	PUNCT
ap-7672	71	4	]	]	PUNCT
ap-7672	72	1	,	,	PUNCT
ap-7672	72	2	(	(	PUNCT
ap-7672	72	3	7	7	NUM
ap-7672	72	4	)	)	PUNCT
ap-7672	72	5	b+	b+	NOUN
ap-7672	72	6	=	=	SYM
ap-7672	72	7	1	1	NUM
ap-7672	72	8	2	2	NUM
ap-7672	72	9	[	[	PUNCT
ap-7672	72	10	d2	d2	PROPN
ap-7672	72	11	dx2	dx2	PROPN
ap-7672	72	12	−	−	PROPN
ap-7672	72	13	g(x	g(x	NOUN
ap-7672	72	14	)	)	PUNCT
ap-7672	73	1	d	d	X
ap-7672	73	2	dx	dx	PROPN
ap-7672	73	3	+	+	CCONJ
ap-7672	73	4	h(x	h(x	PROPN
ap-7672	73	5	)	)	PUNCT
ap-7672	73	6	]	]	PUNCT
ap-7672	73	7	.	.	PUNCT
ap-7672	74	1	(	(	PUNCT
ap-7672	74	2	8)	8)	NUM
ap-7672	74	3	where	where	SCONJ
ap-7672	74	4	the	the	DET
ap-7672	74	5	functions	function	NOUN
ap-7672	74	6	g(x	g(x	NOUN
ap-7672	74	7	)	)	PUNCT
ap-7672	74	8	,	,	PUNCT
ap-7672	74	9	h(x	h(x	PROPN
ap-7672	74	10	)	)	PUNCT
ap-7672	74	11	are	be	AUX
ap-7672	74	12	found	find	VERB
ap-7672	74	13	in	in	ADP
ap-7672	74	14	terms	term	NOUN
ap-7672	74	15	of	of	ADP
ap-7672	74	16	the	the	DET
ap-7672	74	17	only	only	ADJ
ap-7672	74	18	two	two	NUM
ap-7672	74	19	seed	seed	NOUN
ap-7672	74	20	solutions	solution	NOUN
ap-7672	74	21	u1	u1	NOUN
ap-7672	74	22	,	,	PUNCT
ap-7672	74	23	u2	u2	NOUN
ap-7672	74	24	with	with	ADP
ap-7672	74	25	the	the	DET
ap-7672	74	26	corresponding	correspond	VERB
ap-7672	74	27	factorization	factorization	NOUN
ap-7672	74	28	energies	energy	NOUN
ap-7672	74	29	ϵ1	ϵ1	VERB
ap-7672	74	30	,	,	PUNCT
ap-7672	74	31	ϵ2	ϵ2	ADJ
ap-7672	74	32	,	,	PUNCT
ap-7672	74	33	as	as	ADP
ap-7672	74	34	g	g	PROPN
ap-7672	74	35	=	=	PROPN
ap-7672	74	36	w	w	PROPN
ap-7672	74	37	′(u1	′(u1	NOUN
ap-7672	74	38	,	,	PUNCT
ap-7672	74	39	u2	u2	NOUN
ap-7672	74	40	)	)	PUNCT
ap-7672	74	41	w	w	PROPN
ap-7672	74	42	(	(	PUNCT
ap-7672	74	43	u1	u1	PROPN
ap-7672	74	44	,	,	PUNCT
ap-7672	74	45	u2	u2	PROPN
ap-7672	74	46	)	)	PUNCT
ap-7672	74	47	,	,	PUNCT
ap-7672	74	48	h	h	NOUN
ap-7672	74	49	=	=	PUNCT
ap-7672	74	50	g′	g′	NOUN
ap-7672	74	51	2	2	NUM
ap-7672	74	52	+	+	CCONJ
ap-7672	74	53	g2	g2	PROPN
ap-7672	74	54	2	2	NUM
ap-7672	74	55	−	−	PROPN
ap-7672	74	56	2v	2v	PROPN
ap-7672	74	57	+	+	CCONJ
ap-7672	74	58	ϵ1	ϵ1	PROPN
ap-7672	74	59	+	+	CCONJ
ap-7672	74	60	ϵ2	ϵ2	PROPN
ap-7672	74	61	2	2	NUM
ap-7672	74	62	.	.	PUNCT
ap-7672	75	1	(	(	PUNCT
ap-7672	75	2	9	9	NUM
ap-7672	75	3	)	)	PUNCT
ap-7672	75	4	finally	finally	ADV
ap-7672	75	5	,	,	PUNCT
ap-7672	75	6	the	the	DET
ap-7672	75	7	intertwining	intertwine	VERB
ap-7672	75	8	operators	operator	NOUN
ap-7672	75	9	b	b	PROPN
ap-7672	75	10	and	and	CCONJ
ap-7672	75	11	b+	b+	NOUN
ap-7672	75	12	fulfill	fulfill	VERB
ap-7672	75	13	the	the	DET
ap-7672	75	14	following	follow	VERB
ap-7672	75	15	factorization	factorization	NOUN
ap-7672	75	16	relations	relation	NOUN
ap-7672	75	17	:	:	PUNCT
ap-7672	75	18	b+b	b+b	PUNCT
ap-7672	75	19	=	=	SYM
ap-7672	75	20	(	(	PUNCT
ap-7672	75	21	h̃	h̃	PROPN
ap-7672	75	22	−	−	PROPN
ap-7672	75	23	ϵ1	ϵ1	PROPN
ap-7672	75	24	)	)	PUNCT
ap-7672	75	25	.	.	PUNCT
ap-7672	75	26	.	.	PUNCT
ap-7672	75	27	.	.	PUNCT
ap-7672	76	1	(	(	PUNCT
ap-7672	76	2	h̃	h̃	PROPN
ap-7672	76	3	−	−	NOUN
ap-7672	76	4	ϵk	ϵk	NOUN
ap-7672	76	5	)	)	PUNCT
ap-7672	76	6	,	,	PUNCT
ap-7672	76	7	(	(	PUNCT
ap-7672	76	8	10	10	NUM
ap-7672	76	9	)	)	PUNCT
ap-7672	76	10	bb+	bb+	NOUN
ap-7672	76	11	=	=	PUNCT
ap-7672	76	12	(	(	PUNCT
ap-7672	76	13	h	h	NOUN
ap-7672	76	14	−	−	PROPN
ap-7672	76	15	ϵ1	ϵ1	ADJ
ap-7672	76	16	)	)	PUNCT
ap-7672	76	17	.	.	PUNCT
ap-7672	76	18	.	.	PUNCT
ap-7672	77	1	.	.	PUNCT
ap-7672	78	1	(	(	PUNCT
ap-7672	78	2	h	h	NOUN
ap-7672	78	3	−	−	NOUN
ap-7672	78	4	ϵk	ϵk	NOUN
ap-7672	78	5	)	)	PUNCT
ap-7672	78	6	,	,	PUNCT
ap-7672	78	7	(	(	PUNCT
ap-7672	78	8	11	11	NUM
ap-7672	78	9	)	)	PUNCT
ap-7672	78	10	i.e.	i.e.	X
ap-7672	78	11	,	,	PUNCT
ap-7672	78	12	the	the	DET
ap-7672	78	13	product	product	NOUN
ap-7672	78	14	of	of	ADP
ap-7672	78	15	b+	b+	NOUN
ap-7672	78	16	and	and	CCONJ
ap-7672	78	17	b	b	X
ap-7672	78	18	are	be	AUX
ap-7672	78	19	polynomials	polynomial	NOUN
ap-7672	78	20	of	of	ADP
ap-7672	78	21	the	the	DET
ap-7672	78	22	hamiltonians	hamiltonian	NOUN
ap-7672	78	23	h	h	NOUN
ap-7672	78	24	and	and	CCONJ
ap-7672	78	25	h̃.	h̃.	PROPN
ap-7672	78	26	3	3	X
ap-7672	78	27	.	.	PUNCT
ap-7672	79	1	non	non	ADJ
ap-7672	79	2	-	-	ADJ
ap-7672	79	3	rational	rational	ADJ
ap-7672	79	4	extensions	extension	NOUN
ap-7672	79	5	of	of	ADP
ap-7672	79	6	the	the	DET
ap-7672	79	7	quantum	quantum	ADJ
ap-7672	79	8	harmonic	harmonic	NOUN
ap-7672	79	9	oscillator	oscillator	NOUN
ap-7672	79	10	and	and	CCONJ
ap-7672	79	11	their	their	PRON
ap-7672	79	12	ladder	ladder	NOUN
ap-7672	79	13	operators	operator	NOUN
ap-7672	79	14	let	let	VERB
ap-7672	79	15	us	we	PRON
ap-7672	79	16	consider	consider	VERB
ap-7672	79	17	the	the	DET
ap-7672	79	18	harmonic	harmonic	ADJ
ap-7672	79	19	oscillator	oscillator	NOUN
ap-7672	79	20	potential	potential	NOUN
ap-7672	79	21	v	v	ADP
ap-7672	79	22	=	=	SYM
ap-7672	79	23	1	1	NUM
ap-7672	79	24	2x	2x	NUM
ap-7672	79	25	2	2	NUM
ap-7672	79	26	and	and	CCONJ
ap-7672	79	27	the	the	DET
ap-7672	79	28	hamiltonian	hamiltonian	ADJ
ap-7672	79	29	h	h	NOUN
ap-7672	79	30	as	as	ADP
ap-7672	79	31	h	h	NOUN
ap-7672	79	32	=	=	NOUN
ap-7672	79	33	−1	−1	NOUN
ap-7672	79	34	2	2	NUM
ap-7672	79	35	d2	d2	PROPN
ap-7672	79	36	dx2	dx2	PROPN
ap-7672	80	1	+	+	CCONJ
ap-7672	80	2	1	1	NUM
ap-7672	80	3	2x	2x	NUM
ap-7672	80	4	2	2	NUM
ap-7672	80	5	,	,	PUNCT
ap-7672	80	6	(	(	PUNCT
ap-7672	80	7	12	12	NUM
ap-7672	80	8	)	)	PUNCT
ap-7672	80	9	whose	whose	DET
ap-7672	80	10	eigenfunctions	eigenfunction	NOUN
ap-7672	80	11	and	and	CCONJ
ap-7672	80	12	eigenvalues	eigenvalue	NOUN
ap-7672	80	13	are	be	AUX
ap-7672	80	14	ψn(x	ψn(x	PRON
ap-7672	80	15	)	)	PUNCT
ap-7672	81	1	=	=	SYM
ap-7672	82	1	√	√	NUM
ap-7672	82	2	1	1	NUM
ap-7672	82	3	2n	2n	NUM
ap-7672	82	4	√	√	NUM
ap-7672	82	5	πn	πn	PUNCT
ap-7672	82	6	!	!	PUNCT
ap-7672	83	1	e−	e−	PROPN
ap-7672	83	2	x2	x2	PROPN
ap-7672	83	3	2	2	NUM
ap-7672	83	4	hn(x	hn(x	NUM
ap-7672	83	5	)	)	PUNCT
ap-7672	83	6	,	,	PUNCT
ap-7672	83	7	en	en	X
ap-7672	83	8	=	=	SYM
ap-7672	83	9	n+	n+	PUNCT
ap-7672	83	10	1	1	NUM
ap-7672	83	11	2	2	NUM
ap-7672	83	12	,	,	PUNCT
ap-7672	83	13	where	where	SCONJ
ap-7672	83	14	n	n	NOUN
ap-7672	83	15	=	=	SYM
ap-7672	83	16	0	0	NUM
ap-7672	83	17	,	,	PUNCT
ap-7672	83	18	1	1	NUM
ap-7672	83	19	,	,	PUNCT
ap-7672	83	20	2	2	NUM
ap-7672	83	21	,	,	PUNCT
ap-7672	83	22	.	.	PUNCT
ap-7672	83	23	.	.	PUNCT
ap-7672	83	24	.	.	PUNCT
ap-7672	84	1	and	and	CCONJ
ap-7672	84	2	hn(x	hn(x	X
ap-7672	84	3	)	)	PUNCT
ap-7672	84	4	are	be	AUX
ap-7672	84	5	hermite	hermite	ADJ
ap-7672	84	6	polynomials	polynomial	NOUN
ap-7672	84	7	[	[	X
ap-7672	84	8	27	27	NUM
ap-7672	84	9	]	]	PUNCT
ap-7672	84	10	.	.	PUNCT
ap-7672	85	1	when	when	SCONJ
ap-7672	85	2	eigenfunctions	eigenfunction	NOUN
ap-7672	85	3	of	of	ADP
ap-7672	85	4	a	a	DET
ap-7672	85	5	hamiltonian	hamiltonian	NOUN
ap-7672	85	6	are	be	AUX
ap-7672	85	7	employed	employ	VERB
ap-7672	85	8	as	as	ADP
ap-7672	85	9	seed	seed	NOUN
ap-7672	85	10	functions	function	NOUN
ap-7672	85	11	to	to	PART
ap-7672	85	12	generate	generate	VERB
ap-7672	85	13	its	its	PRON
ap-7672	85	14	susy	susy	NOUN
ap-7672	85	15	partner	partner	NOUN
ap-7672	85	16	,	,	PUNCT
ap-7672	85	17	the	the	DET
ap-7672	85	18	results	result	NOUN
ap-7672	85	19	are	be	AUX
ap-7672	85	20	rational	rational	ADJ
ap-7672	85	21	extensions	extension	NOUN
ap-7672	85	22	and	and	CCONJ
ap-7672	85	23	the	the	DET
ap-7672	85	24	transformation	transformation	NOUN
ap-7672	85	25	is	be	AUX
ap-7672	85	26	called	call	VERB
ap-7672	85	27	krein	krein	NOUN
ap-7672	85	28	-	-	PUNCT
ap-7672	85	29	adler	adler	PROPN
ap-7672	85	30	transformation	transformation	NOUN
ap-7672	86	1	[	[	X
ap-7672	86	2	6	6	NUM
ap-7672	86	3	,	,	PUNCT
ap-7672	86	4	7	7	NUM
ap-7672	86	5	,	,	PUNCT
ap-7672	86	6	28	28	NUM
ap-7672	86	7	]	]	PUNCT
ap-7672	86	8	.	.	PUNCT
ap-7672	87	1	moreover	moreover	ADV
ap-7672	87	2	,	,	PUNCT
ap-7672	87	3	rational	rational	ADJ
ap-7672	87	4	extensions	extension	NOUN
ap-7672	87	5	can	can	AUX
ap-7672	87	6	also	also	ADV
ap-7672	87	7	be	be	AUX
ap-7672	87	8	built	build	VERB
ap-7672	87	9	by	by	ADP
ap-7672	87	10	employing	employ	VERB
ap-7672	87	11	the	the	DET
ap-7672	87	12	polynomial	polynomial	ADJ
ap-7672	87	13	non	non	ADJ
ap-7672	87	14	-	-	ADJ
ap-7672	87	15	normalizable	normalizable	ADJ
ap-7672	87	16	solutions	solution	NOUN
ap-7672	87	17	of	of	ADP
ap-7672	87	18	the	the	DET
ap-7672	87	19	schrödinger	schrödinger	ADJ
ap-7672	87	20	equation	equation	NOUN
ap-7672	87	21	φm(x	φm(x	PUNCT
ap-7672	87	22	)	)	PUNCT
ap-7672	88	1	=	=	SYM
ap-7672	88	2	e	e	X
ap-7672	88	3	x2	x2	PROPN
ap-7672	88	4	2	2	NUM
ap-7672	88	5	hm(x	hm(x	NUM
ap-7672	88	6	)	)	PUNCT
ap-7672	88	7	,	,	PUNCT
ap-7672	88	8	e−m−1	e−m−1	PROPN
ap-7672	88	9	=	=	SYM
ap-7672	88	10	−	−	PROPN
ap-7672	88	11	(	(	PUNCT
ap-7672	88	12	m+	m+	NUM
ap-7672	88	13	1	1	NUM
ap-7672	88	14	2	2	NUM
ap-7672	88	15	)	)	PUNCT
ap-7672	88	16	,	,	PUNCT
ap-7672	88	17	where	where	SCONJ
ap-7672	88	18	m	m	VERB
ap-7672	88	19	=	=	SYM
ap-7672	88	20	0	0	NUM
ap-7672	88	21	,	,	PUNCT
ap-7672	88	22	1	1	NUM
ap-7672	88	23	,	,	PUNCT
ap-7672	88	24	2	2	NUM
ap-7672	88	25	,	,	PUNCT
ap-7672	88	26	.	.	PUNCT
ap-7672	88	27	.	.	PUNCT
ap-7672	88	28	.	.	PUNCT
ap-7672	88	29	,	,	PUNCT
ap-7672	88	30	and	and	CCONJ
ap-7672	88	31	hm(x	hm(x	PRON
ap-7672	88	32	)	)	PUNCT
ap-7672	88	33	=	=	SYM
ap-7672	88	34	(	(	PUNCT
ap-7672	88	35	−i)mhm(ix	−i)mhm(ix	NOUN
ap-7672	88	36	)	)	PUNCT
ap-7672	88	37	are	be	AUX
ap-7672	88	38	the	the	DET
ap-7672	88	39	modified	modify	VERB
ap-7672	88	40	hermite	hermite	ADJ
ap-7672	88	41	polynomials	polynomial	NOUN
ap-7672	88	42	[	[	X
ap-7672	88	43	29	29	NUM
ap-7672	88	44	]	]	PUNCT
ap-7672	88	45	,	,	PUNCT
ap-7672	88	46	which	which	PRON
ap-7672	88	47	are	be	AUX
ap-7672	88	48	free	free	ADJ
ap-7672	88	49	of	of	ADP
ap-7672	88	50	nodes	node	NOUN
ap-7672	88	51	for	for	ADP
ap-7672	88	52	even	even	ADV
ap-7672	88	53	m	m	PRON
ap-7672	88	54	and	and	CCONJ
ap-7672	88	55	possess	possess	VERB
ap-7672	88	56	a	a	DET
ap-7672	88	57	single	single	ADJ
ap-7672	88	58	node	node	NOUN
ap-7672	88	59	at	at	ADP
ap-7672	88	60	x	x	X
ap-7672	88	61	=	=	SYM
ap-7672	88	62	0	0	NUM
ap-7672	88	63	for	for	ADP
ap-7672	88	64	m	m	NOUN
ap-7672	88	65	odd	odd	ADJ
ap-7672	88	66	.	.	PUNCT
ap-7672	89	1	in	in	ADP
ap-7672	89	2	the	the	DET
ap-7672	89	3	case	case	NOUN
ap-7672	89	4	of	of	ADP
ap-7672	89	5	m	m	VERB
ap-7672	89	6	even	even	ADV
ap-7672	89	7	,	,	PUNCT
ap-7672	89	8	the	the	DET
ap-7672	89	9	reciprocal	reciprocal	NOUN
ap-7672	89	10	of	of	ADP
ap-7672	89	11	these	these	DET
ap-7672	89	12	solutions	solution	NOUN
ap-7672	89	13	are	be	AUX
ap-7672	89	14	square	square	ADJ
ap-7672	89	15	-	-	PUNCT
ap-7672	89	16	integrable	integrable	ADJ
ap-7672	89	17	functions	function	NOUN
ap-7672	89	18	[	[	X
ap-7672	89	19	6	6	NUM
ap-7672	89	20	]	]	PUNCT
ap-7672	89	21	.	.	PUNCT
ap-7672	90	1	we	we	PRON
ap-7672	90	2	can	can	AUX
ap-7672	90	3	generate	generate	VERB
ap-7672	90	4	non	non	ADJ
ap-7672	90	5	-	-	ADJ
ap-7672	90	6	rational	rational	ADJ
ap-7672	90	7	extensions	extension	NOUN
ap-7672	90	8	of	of	ADP
ap-7672	90	9	the	the	DET
ap-7672	90	10	harmonic	harmonic	ADJ
ap-7672	90	11	oscillator	oscillator	NOUN
ap-7672	90	12	potential	potential	NOUN
ap-7672	90	13	using	use	VERB
ap-7672	90	14	non	non	ADJ
ap-7672	90	15	-	-	ADJ
ap-7672	90	16	polynomial	polynomial	ADJ
ap-7672	90	17	solutions	solution	NOUN
ap-7672	90	18	of	of	ADP
ap-7672	90	19	the	the	DET
ap-7672	90	20	schrödinger	schrödinger	ADJ
ap-7672	90	21	equation	equation	NOUN
ap-7672	90	22	as	as	ADP
ap-7672	90	23	seed	seed	NOUN
ap-7672	90	24	functions	function	NOUN
ap-7672	90	25	31	31	NUM
ap-7672	90	26	a.	a.	PROPN
ap-7672	90	27	contreras	contreras	PROPN
ap-7672	90	28	-	-	PUNCT
ap-7672	90	29	astorga	astorga	PROPN
ap-7672	90	30	,	,	PUNCT
ap-7672	90	31	d.	d.	PROPN
ap-7672	90	32	j.	j.	PROPN
ap-7672	90	33	fernández	fernández	PROPN
ap-7672	90	34	c.	c.	PROPN
ap-7672	90	35	,	,	PUNCT
ap-7672	90	36	c.	c.	PROPN
ap-7672	90	37	muro	muro	PROPN
ap-7672	90	38	-	-	PUNCT
ap-7672	90	39	cabral	cabral	PROPN
ap-7672	90	40	acta	acta	PROPN
ap-7672	90	41	polytechnica	polytechnica	PROPN
ap-7672	90	42	in	in	ADP
ap-7672	90	43	a	a	DET
ap-7672	90	44	susy	susy	NOUN
ap-7672	90	45	transformation	transformation	NOUN
ap-7672	90	46	.	.	PUNCT
ap-7672	91	1	let	let	VERB
ap-7672	91	2	us	we	PRON
ap-7672	91	3	write	write	VERB
ap-7672	91	4	down	down	ADP
ap-7672	91	5	the	the	DET
ap-7672	91	6	general	general	ADJ
ap-7672	91	7	solution	solution	NOUN
ap-7672	91	8	of	of	ADP
ap-7672	91	9	the	the	DET
ap-7672	91	10	stationary	stationary	ADJ
ap-7672	91	11	schrödinger	schrödinger	ADJ
ap-7672	91	12	equation	equation	NOUN
ap-7672	91	13	,	,	PUNCT
ap-7672	91	14	with	with	ADP
ap-7672	91	15	an	an	DET
ap-7672	91	16	arbitrary	arbitrary	ADJ
ap-7672	91	17	factorization	factorization	NOUN
ap-7672	91	18	energy	energy	NOUN
ap-7672	91	19	denoted	denote	VERB
ap-7672	91	20	by	by	ADP
ap-7672	91	21	e	e	PROPN
ap-7672	91	22	=	=	PROPN
ap-7672	91	23	λ+	λ+	NUM
ap-7672	91	24	1/2	1/2	NUM
ap-7672	91	25	,	,	PUNCT
ap-7672	91	26	as	as	ADP
ap-7672	91	27	u(x	u(x	NOUN
ap-7672	91	28	)	)	PUNCT
ap-7672	91	29	=	=	PUNCT
ap-7672	92	1	e−	e−	NUM
ap-7672	92	2	x2	x2	NOUN
ap-7672	92	3	2	2	NUM
ap-7672	92	4	[	[	NOUN
ap-7672	92	5	hλ(x	hλ(x	X
ap-7672	92	6	)	)	PUNCT
ap-7672	92	7	+	+	CCONJ
ap-7672	92	8	γhλ(−x	γhλ(−x	PROPN
ap-7672	92	9	)	)	PUNCT
ap-7672	92	10	]	]	PUNCT
ap-7672	92	11	,	,	PUNCT
ap-7672	92	12	(	(	PUNCT
ap-7672	92	13	13	13	NUM
ap-7672	92	14	)	)	PUNCT
ap-7672	92	15	where	where	SCONJ
ap-7672	92	16	hλ(x	hλ(x	NOUN
ap-7672	92	17	)	)	PUNCT
ap-7672	92	18	≡	≡	PROPN
ap-7672	92	19	2λγ	2λγ	NOUN
ap-7672	92	20	(	(	PUNCT
ap-7672	92	21	1	1	NUM
ap-7672	92	22	2	2	NUM
ap-7672	92	23	)	)	PUNCT
ap-7672	92	24	γ	γ	X
ap-7672	92	25	(	(	PUNCT
ap-7672	92	26	1−λ	1−λ	NUM
ap-7672	92	27	2	2	NUM
ap-7672	92	28	)	)	PUNCT
ap-7672	92	29	1f1	1f1	NUM
ap-7672	92	30	(	(	PUNCT
ap-7672	92	31	−λ	−λ	PROPN
ap-7672	92	32	2	2	NUM
ap-7672	92	33	;	;	PUNCT
ap-7672	92	34	1	1	NUM
ap-7672	92	35	2	2	NUM
ap-7672	92	36	;	;	PUNCT
ap-7672	92	37	x2	x2	NUM
ap-7672	92	38	)	)	PUNCT
ap-7672	93	1	+	+	NUM
ap-7672	93	2	2λγ	2λγ	ADJ
ap-7672	93	3	(	(	PUNCT
ap-7672	93	4	−	−	PROPN
ap-7672	93	5	1	1	NUM
ap-7672	93	6	2	2	NUM
ap-7672	93	7	)	)	PUNCT
ap-7672	93	8	γ	γ	NOUN
ap-7672	93	9	(	(	PUNCT
ap-7672	93	10	−	−	PROPN
ap-7672	93	11	λ	λ	NOUN
ap-7672	93	12	2	2	NUM
ap-7672	93	13	)	)	PUNCT
ap-7672	93	14	x1f1	x1f1	PUNCT
ap-7672	94	1	(	(	PUNCT
ap-7672	94	2	1	1	NUM
ap-7672	94	3	−	−	PROPN
ap-7672	94	4	λ	λ	NOUN
ap-7672	94	5	2	2	NUM
ap-7672	94	6	;	;	PUNCT
ap-7672	94	7	3	3	NUM
ap-7672	94	8	2	2	NUM
ap-7672	94	9	;	;	PUNCT
ap-7672	94	10	x2	x2	NUM
ap-7672	94	11	)	)	PUNCT
ap-7672	94	12	,	,	PUNCT
ap-7672	94	13	(	(	PUNCT
ap-7672	94	14	14	14	NUM
ap-7672	94	15	)	)	PUNCT
ap-7672	94	16	are	be	AUX
ap-7672	94	17	defined	define	VERB
ap-7672	94	18	as	as	ADP
ap-7672	94	19	hermite	hermite	ADJ
ap-7672	94	20	functions	function	NOUN
ap-7672	94	21	[	[	X
ap-7672	94	22	30	30	NUM
ap-7672	94	23	,	,	PUNCT
ap-7672	94	24	31	31	NUM
ap-7672	94	25	]	]	PUNCT
ap-7672	94	26	,	,	PUNCT
ap-7672	94	27	1f1(a	1f1(a	NUM
ap-7672	94	28	;	;	PUNCT
ap-7672	94	29	b	b	X
ap-7672	94	30	;	;	PUNCT
ap-7672	94	31	z	z	X
ap-7672	94	32	)	)	PUNCT
ap-7672	94	33	≡	≡	PROPN
ap-7672	94	34	γ(b	γ(b	NOUN
ap-7672	94	35	)	)	PUNCT
ap-7672	94	36	γ(a	γ(a	NOUN
ap-7672	94	37	)	)	PUNCT
ap-7672	94	38	∞∑	∞∑	PRON
ap-7672	94	39	n=0	n=0	NUM
ap-7672	94	40	γ(a+	γ(a+	NOUN
ap-7672	94	41	n	n	CCONJ
ap-7672	94	42	)	)	PUNCT
ap-7672	94	43	γ(b+	γ(b+	NOUN
ap-7672	94	44	n	n	CCONJ
ap-7672	94	45	)	)	PUNCT
ap-7672	94	46	zn	zn	NOUN
ap-7672	94	47	n	n	CCONJ
ap-7672	94	48	!	!	PROPN
ap-7672	94	49	,	,	PUNCT
ap-7672	94	50	(	(	PUNCT
ap-7672	94	51	15	15	X
ap-7672	94	52	)	)	PUNCT
ap-7672	94	53	is	be	AUX
ap-7672	94	54	the	the	DET
ap-7672	94	55	confluent	confluent	ADJ
ap-7672	94	56	hypergeometric	hypergeometric	ADJ
ap-7672	94	57	function	function	NOUN
ap-7672	94	58	,	,	PUNCT
ap-7672	94	59	and	and	CCONJ
ap-7672	94	60	γ	γ	X
ap-7672	94	61	is	be	AUX
ap-7672	94	62	a	a	DET
ap-7672	94	63	real	real	ADJ
ap-7672	94	64	parameter	parameter	NOUN
ap-7672	94	65	.	.	PUNCT
ap-7672	95	1	if	if	SCONJ
ap-7672	95	2	γ	γ	X
ap-7672	95	3	>	>	X
ap-7672	95	4	0	0	NUM
ap-7672	95	5	,	,	PUNCT
ap-7672	95	6	the	the	DET
ap-7672	95	7	solution	solution	NOUN
ap-7672	95	8	will	will	AUX
ap-7672	95	9	have	have	VERB
ap-7672	95	10	an	an	DET
ap-7672	95	11	even	even	ADJ
ap-7672	95	12	number	number	NOUN
ap-7672	95	13	of	of	ADP
ap-7672	95	14	zeroes	zero	NOUN
ap-7672	95	15	and	and	CCONJ
ap-7672	95	16	for	for	ADP
ap-7672	95	17	γ	γ	X
ap-7672	95	18	<	<	X
ap-7672	95	19	0	0	PROPN
ap-7672	95	20	,	,	PUNCT
ap-7672	95	21	an	an	DET
ap-7672	95	22	odd	odd	ADJ
ap-7672	95	23	number	number	NOUN
ap-7672	95	24	of	of	ADP
ap-7672	95	25	nodes	node	NOUN
ap-7672	95	26	.	.	PUNCT
ap-7672	96	1	3.1	3.1	NUM
ap-7672	96	2	.	.	PUNCT
ap-7672	96	3	first	first	PROPN
ap-7672	96	4	susy	susy	PROPN
ap-7672	96	5	transformation	transformation	NOUN
ap-7672	96	6	as	as	ADP
ap-7672	96	7	the	the	DET
ap-7672	96	8	first	first	ADJ
ap-7672	96	9	non	non	ADJ
ap-7672	96	10	-	-	ADJ
ap-7672	96	11	rational	rational	ADJ
ap-7672	96	12	extension	extension	NOUN
ap-7672	96	13	of	of	ADP
ap-7672	96	14	the	the	DET
ap-7672	96	15	harmonic	harmonic	ADJ
ap-7672	96	16	oscillator	oscillator	NOUN
ap-7672	96	17	,	,	PUNCT
ap-7672	96	18	we	we	PRON
ap-7672	96	19	perform	perform	VERB
ap-7672	96	20	a	a	DET
ap-7672	96	21	second	second	ADJ
ap-7672	96	22	-	-	PUNCT
ap-7672	96	23	order	order	NOUN
ap-7672	96	24	susy	susy	NOUN
ap-7672	96	25	transformation	transformation	NOUN
ap-7672	96	26	where	where	SCONJ
ap-7672	96	27	we	we	PRON
ap-7672	96	28	add	add	VERB
ap-7672	96	29	two	two	NUM
ap-7672	96	30	new	new	ADJ
ap-7672	96	31	levels	level	NOUN
ap-7672	96	32	with	with	ADP
ap-7672	96	33	factorization	factorization	NOUN
ap-7672	96	34	energies	energy	NOUN
ap-7672	96	35	−3/2	−3/2	VERB
ap-7672	96	36	<	<	X
ap-7672	96	37	e1	e1	VERB
ap-7672	96	38	<	<	X
ap-7672	96	39	1/2	1/2	NUM
ap-7672	96	40	and	and	CCONJ
ap-7672	97	1	e2	e2	PROPN
ap-7672	97	2	=	=	SYM
ap-7672	97	3	e−2	e−2	PROPN
ap-7672	98	1	=	=	SYM
ap-7672	98	2	−3/2	−3/2	ADJ
ap-7672	98	3	,	,	PUNCT
ap-7672	98	4	both	both	PRON
ap-7672	98	5	below	below	ADP
ap-7672	98	6	the	the	DET
ap-7672	98	7	ground	ground	NOUN
ap-7672	98	8	state	state	NOUN
ap-7672	98	9	energy	energy	NOUN
ap-7672	98	10	.	.	PUNCT
ap-7672	99	1	we	we	PRON
ap-7672	99	2	start	start	VERB
ap-7672	99	3	by	by	ADP
ap-7672	99	4	choosing	choose	VERB
ap-7672	99	5	the	the	DET
ap-7672	99	6	seed	seed	NOUN
ap-7672	99	7	solutions	solution	NOUN
ap-7672	99	8	as	as	ADP
ap-7672	99	9	u	u	NOUN
ap-7672	99	10	(	(	PUNCT
ap-7672	99	11	1	1	NUM
ap-7672	99	12	)	)	PUNCT
ap-7672	99	13	1	1	NUM
ap-7672	99	14	(	(	PUNCT
ap-7672	99	15	x	x	NOUN
ap-7672	99	16	)	)	PUNCT
ap-7672	99	17	=	=	SYM
ap-7672	100	1	e−	e−	NUM
ap-7672	100	2	x2	x2	NOUN
ap-7672	100	3	2	2	NUM
ap-7672	101	1	[	[	X
ap-7672	101	2	hλ1(x	hλ1(x	NOUN
ap-7672	101	3	)	)	PUNCT
ap-7672	102	1	+	+	CCONJ
ap-7672	102	2	γhλ1(−x	γhλ1(−x	PROPN
ap-7672	102	3	)	)	PUNCT
ap-7672	103	1	]	]	PUNCT
ap-7672	103	2	,	,	PUNCT
ap-7672	103	3	u	u	NOUN
ap-7672	103	4	(	(	PUNCT
ap-7672	103	5	1	1	NUM
ap-7672	103	6	)	)	SYM
ap-7672	103	7	2	2	NUM
ap-7672	103	8	(	(	PUNCT
ap-7672	103	9	x	x	NOUN
ap-7672	103	10	)	)	PUNCT
ap-7672	103	11	=	=	SYM
ap-7672	103	12	φ1(x	φ1(x	NOUN
ap-7672	103	13	)	)	PUNCT
ap-7672	103	14	,	,	PUNCT
ap-7672	103	15	(	(	PUNCT
ap-7672	103	16	16	16	NUM
ap-7672	103	17	)	)	PUNCT
ap-7672	103	18	where	where	SCONJ
ap-7672	103	19	λ1	λ1	ADJ
ap-7672	103	20	=	=	NOUN
ap-7672	103	21	e1	e1	PROPN
ap-7672	103	22	−	−	PROPN
ap-7672	103	23	1/2	1/2	NUM
ap-7672	103	24	.	.	PUNCT
ap-7672	104	1	to	to	PART
ap-7672	104	2	obtain	obtain	VERB
ap-7672	104	3	a	a	DET
ap-7672	104	4	nodeless	nodeless	ADJ
ap-7672	104	5	wronskian	wronskian	NOUN
ap-7672	104	6	w	w	PROPN
ap-7672	104	7	(	(	PUNCT
ap-7672	104	8	u(1	u(1	PROPN
ap-7672	104	9	)	)	PUNCT
ap-7672	104	10	1	1	NUM
ap-7672	104	11	,	,	PUNCT
ap-7672	104	12	u	u	NOUN
ap-7672	104	13	(	(	PUNCT
ap-7672	104	14	1	1	NUM
ap-7672	104	15	)	)	PUNCT
ap-7672	104	16	2	2	NUM
ap-7672	104	17	)	)	PUNCT
ap-7672	104	18	,	,	PUNCT
ap-7672	104	19	we	we	PRON
ap-7672	104	20	take	take	VERB
ap-7672	104	21	γ	γ	PRON
ap-7672	104	22	>	>	X
ap-7672	104	23	0	0	PROPN
ap-7672	104	24	.	.	PUNCT
ap-7672	105	1	notice	notice	VERB
ap-7672	105	2	that	that	SCONJ
ap-7672	105	3	e1	e1	NOUN
ap-7672	105	4	is	be	AUX
ap-7672	105	5	an	an	DET
ap-7672	105	6	arbitrary	arbitrary	ADJ
ap-7672	105	7	energy	energy	NOUN
ap-7672	105	8	between	between	ADP
ap-7672	105	9	e0	e0	PROPN
ap-7672	105	10	=	=	PROPN
ap-7672	105	11	1/2	1/2	NUM
ap-7672	105	12	and	and	CCONJ
ap-7672	105	13	e−2	e−2	PROPN
ap-7672	105	14	=	=	PUNCT
ap-7672	105	15	−3/2	−3/2	ADJ
ap-7672	105	16	.	.	PUNCT
ap-7672	106	1	by	by	ADP
ap-7672	106	2	following	follow	VERB
ap-7672	106	3	the	the	DET
ap-7672	106	4	relation	relation	NOUN
ap-7672	106	5	(	(	PUNCT
ap-7672	106	6	8)	8)	NUM
ap-7672	106	7	,	,	PUNCT
ap-7672	106	8	we	we	PRON
ap-7672	106	9	can	can	AUX
ap-7672	106	10	define	define	VERB
ap-7672	106	11	a	a	DET
ap-7672	106	12	set	set	NOUN
ap-7672	106	13	of	of	ADP
ap-7672	106	14	second	second	ADJ
ap-7672	106	15	-	-	PUNCT
ap-7672	106	16	order	order	NOUN
ap-7672	106	17	intertwining	intertwine	VERB
ap-7672	106	18	operators	operator	NOUN
ap-7672	106	19	b(1	b(1	PROPN
ap-7672	106	20	)	)	PUNCT
ap-7672	106	21	,	,	PUNCT
ap-7672	106	22	b(1)+	b(1)+	NOUN
ap-7672	106	23	which	which	PRON
ap-7672	106	24	satisfy	satisfy	VERB
ap-7672	106	25	the	the	DET
ap-7672	106	26	relations	relation	NOUN
ap-7672	106	27	h̃(1)b(1)+	h̃(1)b(1)+	VERB
ap-7672	106	28	=	=	SYM
ap-7672	106	29	b(1)+h	b(1)+h	PROPN
ap-7672	106	30	,	,	PUNCT
ap-7672	106	31	(	(	PUNCT
ap-7672	106	32	17	17	NUM
ap-7672	106	33	)	)	PUNCT
ap-7672	106	34	and	and	CCONJ
ap-7672	106	35	its	its	PRON
ap-7672	106	36	adjoint	adjoint	NOUN
ap-7672	106	37	.	.	PUNCT
ap-7672	107	1	the	the	DET
ap-7672	107	2	susy	susy	PROPN
ap-7672	107	3	partner	partner	NOUN
ap-7672	107	4	potential	potential	NOUN
ap-7672	107	5	is	be	AUX
ap-7672	107	6	ṽ	ṽ	PROPN
ap-7672	107	7	(	(	PUNCT
ap-7672	107	8	1	1	NUM
ap-7672	107	9	)	)	PUNCT
ap-7672	107	10	=	=	SYM
ap-7672	107	11	1	1	NUM
ap-7672	107	12	2x	2x	NUM
ap-7672	107	13	2	2	NUM
ap-7672	107	14	−	−	NOUN
ap-7672	107	15	[	[	PUNCT
ap-7672	107	16	lnw	lnw	INTJ
ap-7672	107	17	(	(	PUNCT
ap-7672	107	18	u(1	u(1	NOUN
ap-7672	107	19	)	)	PUNCT
ap-7672	107	20	1	1	NUM
ap-7672	107	21	,	,	PUNCT
ap-7672	107	22	u	u	NOUN
ap-7672	107	23	(	(	PUNCT
ap-7672	107	24	1	1	NUM
ap-7672	107	25	)	)	PUNCT
ap-7672	107	26	2	2	NUM
ap-7672	107	27	)	)	PUNCT
ap-7672	107	28	]	]	PUNCT
ap-7672	108	1	′′	′′	PROPN
ap-7672	108	2	.	.	PUNCT
ap-7672	109	1	(	(	PUNCT
ap-7672	109	2	18	18	NUM
ap-7672	109	3	)	)	PUNCT
ap-7672	109	4	since	since	SCONJ
ap-7672	109	5	u(1	u(1	PROPN
ap-7672	109	6	)	)	PUNCT
ap-7672	109	7	1	1	NUM
ap-7672	109	8	is	be	AUX
ap-7672	109	9	an	an	DET
ap-7672	109	10	infinite	infinite	ADJ
ap-7672	109	11	series	series	NOUN
ap-7672	109	12	,	,	PUNCT
ap-7672	109	13	the	the	DET
ap-7672	109	14	potential	potential	ADJ
ap-7672	109	15	ṽ	ṽ	PROPN
ap-7672	109	16	(	(	PUNCT
ap-7672	109	17	1	1	NUM
ap-7672	109	18	)	)	PUNCT
ap-7672	109	19	is	be	AUX
ap-7672	109	20	a	a	DET
ap-7672	109	21	non	non	ADJ
ap-7672	109	22	-	-	ADJ
ap-7672	109	23	rational	rational	ADJ
ap-7672	109	24	extension	extension	NOUN
ap-7672	109	25	of	of	ADP
ap-7672	109	26	v	v	NOUN
ap-7672	109	27	.	.	PUNCT
ap-7672	110	1	to	to	PART
ap-7672	110	2	find	find	VERB
ap-7672	110	3	the	the	DET
ap-7672	110	4	eigenfunctions	eigenfunction	NOUN
ap-7672	110	5	of	of	ADP
ap-7672	110	6	the	the	DET
ap-7672	110	7	hamiltonian	hamiltonian	ADJ
ap-7672	110	8	h̃(1	h̃(1	NOUN
ap-7672	110	9	)	)	PUNCT
ap-7672	110	10	,	,	PUNCT
ap-7672	110	11	we	we	PRON
ap-7672	110	12	use	use	VERB
ap-7672	110	13	the	the	DET
ap-7672	110	14	operator	operator	NOUN
ap-7672	110	15	b(1)+	b(1)+	NOUN
ap-7672	110	16	as	as	ADP
ap-7672	110	17	ψ̃(1	ψ̃(1	NOUN
ap-7672	110	18	)	)	PUNCT
ap-7672	111	1	n	n	NOUN
ap-7672	111	2	=	=	PUNCT
ap-7672	111	3	b(1)+ψn√	b(1)+ψn√	PROPN
ap-7672	111	4	(	(	PUNCT
ap-7672	111	5	en	en	X
ap-7672	111	6	−	−	PROPN
ap-7672	111	7	e1)(en	e1)(en	PROPN
ap-7672	111	8	−	−	PROPN
ap-7672	111	9	e2	e2	PROPN
ap-7672	111	10	)	)	PUNCT
ap-7672	111	11	,	,	PUNCT
ap-7672	111	12	n	n	NOUN
ap-7672	111	13	=	=	SYM
ap-7672	111	14	0	0	NUM
ap-7672	111	15	,	,	PUNCT
ap-7672	111	16	2	2	NUM
ap-7672	111	17	,	,	PUNCT
ap-7672	111	18	3	3	NUM
ap-7672	111	19	,	,	PUNCT
ap-7672	111	20	.	.	PUNCT
ap-7672	111	21	.	.	PUNCT
ap-7672	111	22	.	.	PUNCT
ap-7672	112	1	(	(	PUNCT
ap-7672	112	2	19	19	NUM
ap-7672	112	3	)	)	PUNCT
ap-7672	112	4	regarding	regard	VERB
ap-7672	112	5	both	both	DET
ap-7672	112	6	missing	miss	VERB
ap-7672	112	7	states	state	NOUN
ap-7672	112	8	of	of	ADP
ap-7672	112	9	this	this	DET
ap-7672	112	10	extension	extension	NOUN
ap-7672	112	11	ψ̃	ψ̃	PROPN
ap-7672	112	12	(	(	PUNCT
ap-7672	112	13	1	1	NUM
ap-7672	112	14	)	)	PUNCT
ap-7672	112	15	e1	e1	VERB
ap-7672	112	16	∝	∝	PROPN
ap-7672	112	17	u	u	NOUN
ap-7672	112	18	(	(	PUNCT
ap-7672	112	19	1	1	NUM
ap-7672	112	20	)	)	PUNCT
ap-7672	112	21	2	2	NUM
ap-7672	112	22	w	w	NOUN
ap-7672	112	23	(	(	PUNCT
ap-7672	112	24	u(1	u(1	PROPN
ap-7672	112	25	)	)	PUNCT
ap-7672	112	26	1	1	NUM
ap-7672	112	27	,	,	PUNCT
ap-7672	112	28	u	u	NOUN
ap-7672	112	29	(	(	PUNCT
ap-7672	112	30	1	1	NUM
ap-7672	112	31	)	)	PUNCT
ap-7672	112	32	2	2	NUM
ap-7672	112	33	)	)	PUNCT
ap-7672	112	34	,	,	PUNCT
ap-7672	112	35	ψ̃	ψ̃	PROPN
ap-7672	112	36	(	(	PUNCT
ap-7672	112	37	1	1	NUM
ap-7672	112	38	)	)	PUNCT
ap-7672	112	39	e2	e2	PROPN
ap-7672	112	40	∝	∝	PROPN
ap-7672	112	41	u	u	PROPN
ap-7672	112	42	(	(	PUNCT
ap-7672	112	43	1	1	NUM
ap-7672	112	44	)	)	PUNCT
ap-7672	112	45	1	1	NUM
ap-7672	112	46	w	w	PROPN
ap-7672	112	47	(	(	PUNCT
ap-7672	112	48	u(1	u(1	PROPN
ap-7672	112	49	)	)	PUNCT
ap-7672	112	50	1	1	NUM
ap-7672	112	51	,	,	PUNCT
ap-7672	112	52	u	u	NOUN
ap-7672	112	53	(	(	PUNCT
ap-7672	112	54	1	1	NUM
ap-7672	112	55	)	)	PUNCT
ap-7672	112	56	2	2	NUM
ap-7672	112	57	)	)	PUNCT
ap-7672	112	58	,	,	PUNCT
ap-7672	112	59	(	(	PUNCT
ap-7672	112	60	20	20	NUM
ap-7672	112	61	)	)	PUNCT
ap-7672	112	62	due	due	ADP
ap-7672	112	63	to	to	ADP
ap-7672	112	64	a	a	DET
ap-7672	112	65	stronger	strong	ADJ
ap-7672	112	66	divergent	divergent	ADJ
ap-7672	112	67	behaviour	behaviour	NOUN
ap-7672	112	68	of	of	ADP
ap-7672	112	69	the	the	DET
ap-7672	112	70	wronskian	wronskian	NOUN
ap-7672	112	71	when	when	SCONJ
ap-7672	112	72	|x|	|x|	PROPN
ap-7672	112	73	→	→	SYM
ap-7672	112	74	∞	∞	PROPN
ap-7672	112	75	than	than	ADP
ap-7672	112	76	the	the	DET
ap-7672	112	77	solutions	solution	NOUN
ap-7672	112	78	u	u	NOUN
ap-7672	112	79	(	(	PUNCT
ap-7672	112	80	1	1	NUM
ap-7672	112	81	)	)	PUNCT
ap-7672	112	82	1	1	NUM
ap-7672	112	83	,	,	PUNCT
ap-7672	112	84	u(1	u(1	NOUN
ap-7672	112	85	)	)	PUNCT
ap-7672	112	86	2	2	NUM
ap-7672	112	87	,	,	PUNCT
ap-7672	112	88	the	the	DET
ap-7672	112	89	hamiltonian	hamiltonian	ADJ
ap-7672	112	90	h̃(1	h̃(1	NOUN
ap-7672	112	91	)	)	PUNCT
ap-7672	112	92	contains	contain	VERB
ap-7672	112	93	two	two	NUM
ap-7672	112	94	new	new	ADJ
ap-7672	112	95	bounded	bounded	ADJ
ap-7672	112	96	states	states	PROPN
ap-7672	112	97	ψ̃(1	ψ̃(1	NOUN
ap-7672	112	98	)	)	PUNCT
ap-7672	112	99	e1	e1	NOUN
ap-7672	112	100	,	,	PUNCT
ap-7672	112	101	and	and	CCONJ
ap-7672	112	102	ψ̃	ψ̃	PROPN
ap-7672	112	103	(	(	PUNCT
ap-7672	112	104	1	1	NUM
ap-7672	112	105	)	)	PUNCT
ap-7672	112	106	e2	e2	NOUN
ap-7672	112	107	,	,	PUNCT
ap-7672	112	108	so	so	ADV
ap-7672	112	109	its	its	PRON
ap-7672	112	110	spectrum	spectrum	NOUN
ap-7672	112	111	is	be	AUX
ap-7672	112	112	sp{h̃(1	sp{h̃(1	PROPN
ap-7672	112	113	)	)	PUNCT
ap-7672	112	114	}	}	PUNCT
ap-7672	112	115	=	=	SYM
ap-7672	112	116	{	{	PUNCT
ap-7672	112	117	e−2	e−2	PROPN
ap-7672	112	118	,	,	PUNCT
ap-7672	112	119	e1	e1	PROPN
ap-7672	112	120	,	,	PUNCT
ap-7672	112	121	en	en	X
ap-7672	112	122	,	,	PUNCT
ap-7672	112	123	n	n	NOUN
ap-7672	112	124	=	=	SYM
ap-7672	112	125	0	0	NUM
ap-7672	112	126	,	,	PUNCT
ap-7672	112	127	1	1	NUM
ap-7672	112	128	,	,	PUNCT
ap-7672	112	129	2	2	NUM
ap-7672	112	130	,	,	PUNCT
ap-7672	112	131	.	.	PUNCT
ap-7672	112	132	.	.	PUNCT
ap-7672	112	133	.	.	PUNCT
ap-7672	113	1	}	}	PUNCT
ap-7672	113	2	.	.	PUNCT
ap-7672	114	1	3.2	3.2	NUM
ap-7672	114	2	.	.	PUNCT
ap-7672	115	1	second	second	ADJ
ap-7672	115	2	but	but	CCONJ
ap-7672	115	3	equivalent	equivalent	ADJ
ap-7672	115	4	susy	susy	NOUN
ap-7672	115	5	transformation	transformation	NOUN
ap-7672	115	6	we	we	PRON
ap-7672	115	7	can	can	AUX
ap-7672	115	8	obtain	obtain	VERB
ap-7672	115	9	the	the	DET
ap-7672	115	10	same	same	ADJ
ap-7672	115	11	hamiltonian	hamiltonian	ADJ
ap-7672	115	12	h̃(1	h̃(1	NOUN
ap-7672	115	13	)	)	PUNCT
ap-7672	115	14	,	,	PUNCT
ap-7672	115	15	up	up	ADP
ap-7672	115	16	to	to	ADP
ap-7672	115	17	an	an	DET
ap-7672	115	18	additive	additive	ADJ
ap-7672	115	19	constant	constant	NOUN
ap-7672	115	20	,	,	PUNCT
ap-7672	115	21	with	with	ADP
ap-7672	115	22	a	a	DET
ap-7672	115	23	different	different	ADJ
ap-7672	115	24	second	second	ADJ
ap-7672	115	25	-	-	PUNCT
ap-7672	115	26	order	order	NOUN
ap-7672	115	27	susy	susy	NOUN
ap-7672	115	28	transformation	transformation	NOUN
ap-7672	115	29	.	.	PUNCT
ap-7672	116	1	let	let	VERB
ap-7672	116	2	us	we	PRON
ap-7672	116	3	choose	choose	VERB
ap-7672	116	4	the	the	DET
ap-7672	116	5	following	follow	VERB
ap-7672	116	6	seed	seed	NOUN
ap-7672	116	7	solutions	solution	NOUN
ap-7672	116	8	:	:	PUNCT
ap-7672	116	9	u	u	NOUN
ap-7672	116	10	(	(	PUNCT
ap-7672	116	11	2	2	NUM
ap-7672	116	12	)	)	PUNCT
ap-7672	116	13	1	1	NUM
ap-7672	116	14	(	(	PUNCT
ap-7672	116	15	x	x	NOUN
ap-7672	116	16	)	)	PUNCT
ap-7672	116	17	=	=	PUNCT
ap-7672	116	18	ψ1(x	ψ1(x	PROPN
ap-7672	116	19	)	)	PUNCT
ap-7672	116	20	,	,	PUNCT
ap-7672	116	21	u	u	NOUN
ap-7672	116	22	(	(	PUNCT
ap-7672	116	23	2	2	NUM
ap-7672	116	24	)	)	PUNCT
ap-7672	116	25	2	2	NUM
ap-7672	116	26	(	(	PUNCT
ap-7672	116	27	x	x	NOUN
ap-7672	116	28	)	)	PUNCT
ap-7672	116	29	=	=	SYM
ap-7672	117	1	e−	e−	NUM
ap-7672	117	2	x2	x2	NOUN
ap-7672	117	3	2	2	NUM
ap-7672	117	4	[	[	X
ap-7672	117	5	hλ2(x	hλ2(x	PROPN
ap-7672	117	6	)	)	PUNCT
ap-7672	117	7	+	+	CCONJ
ap-7672	117	8	γhλ2(−x	γhλ2(−x	PROPN
ap-7672	117	9	)	)	PUNCT
ap-7672	117	10	]	]	PUNCT
ap-7672	117	11	,	,	PUNCT
ap-7672	117	12	(	(	PUNCT
ap-7672	117	13	21	21	NUM
ap-7672	117	14	)	)	PUNCT
ap-7672	117	15	with	with	ADP
ap-7672	117	16	the	the	DET
ap-7672	117	17	factorization	factorization	NOUN
ap-7672	117	18	energies	energy	NOUN
ap-7672	117	19	e3	e3	NOUN
ap-7672	117	20	=	=	SYM
ap-7672	117	21	e1	e1	PROPN
ap-7672	117	22	,	,	PUNCT
ap-7672	117	23	and	and	CCONJ
ap-7672	117	24	e4	e4	PROPN
ap-7672	117	25	=	=	PROPN
ap-7672	117	26	e1	e1	PROPN
ap-7672	117	27	+	+	CCONJ
ap-7672	117	28	2	2	NUM
ap-7672	117	29	,	,	PUNCT
ap-7672	117	30	respectively	respectively	ADV
ap-7672	117	31	.	.	PUNCT
ap-7672	118	1	note	note	VERB
ap-7672	118	2	that	that	SCONJ
ap-7672	118	3	λ2	λ2	NOUN
ap-7672	118	4	=	=	SYM
ap-7672	118	5	λ1	λ1	PROPN
ap-7672	118	6	+2	+2	PROPN
ap-7672	118	7	.	.	PUNCT
ap-7672	119	1	again	again	ADV
ap-7672	119	2	,	,	PUNCT
ap-7672	119	3	through	through	ADP
ap-7672	119	4	the	the	DET
ap-7672	119	5	relations	relation	NOUN
ap-7672	119	6	(	(	PUNCT
ap-7672	119	7	7	7	NUM
ap-7672	119	8	)	)	PUNCT
ap-7672	119	9	and	and	CCONJ
ap-7672	119	10	(	(	PUNCT
ap-7672	119	11	8)	8)	NUM
ap-7672	119	12	,	,	PUNCT
ap-7672	119	13	we	we	PRON
ap-7672	119	14	can	can	AUX
ap-7672	119	15	define	define	VERB
ap-7672	119	16	second	second	ADJ
ap-7672	119	17	-	-	PUNCT
ap-7672	119	18	order	order	NOUN
ap-7672	119	19	differential	differential	NOUN
ap-7672	119	20	operators	operator	NOUN
ap-7672	119	21	b(2	b(2	PROPN
ap-7672	119	22	)	)	PUNCT
ap-7672	119	23	,	,	PUNCT
ap-7672	119	24	b(2)+	b(2)+	NOUN
ap-7672	119	25	,	,	PUNCT
ap-7672	119	26	which	which	PRON
ap-7672	119	27	intertwine	intertwine	VERB
ap-7672	119	28	a	a	DET
ap-7672	119	29	hamiltonian	hamiltonian	PROPN
ap-7672	119	30	h̃(2	h̃(2	NOUN
ap-7672	119	31	)	)	PUNCT
ap-7672	119	32	with	with	ADP
ap-7672	119	33	h	h	NOUN
ap-7672	119	34	as	as	ADP
ap-7672	119	35	h̃(2)b(2)+	h̃(2)b(2)+	NOUN
ap-7672	119	36	=	=	PUNCT
ap-7672	119	37	b(2)+h	b(2)+h	X
ap-7672	119	38	.	.	PUNCT
ap-7672	120	1	(	(	PUNCT
ap-7672	120	2	22	22	NUM
ap-7672	120	3	)	)	PUNCT
ap-7672	120	4	the	the	DET
ap-7672	120	5	supersymmetric	supersymmetric	ADJ
ap-7672	120	6	partner	partner	NOUN
ap-7672	120	7	potential	potential	NOUN
ap-7672	120	8	is	be	AUX
ap-7672	120	9	ṽ	ṽ	PROPN
ap-7672	120	10	(	(	PUNCT
ap-7672	120	11	2	2	NUM
ap-7672	120	12	)	)	PUNCT
ap-7672	120	13	=	=	SYM
ap-7672	120	14	1	1	NUM
ap-7672	120	15	2x	2x	NUM
ap-7672	120	16	2	2	NUM
ap-7672	120	17	−	−	NOUN
ap-7672	120	18	[	[	PUNCT
ap-7672	120	19	lnw	lnw	VERB
ap-7672	120	20	(	(	PUNCT
ap-7672	120	21	u(2	u(2	ADJ
ap-7672	120	22	)	)	PUNCT
ap-7672	120	23	1	1	NUM
ap-7672	120	24	,	,	PUNCT
ap-7672	120	25	u	u	NOUN
ap-7672	120	26	(	(	PUNCT
ap-7672	120	27	2	2	NUM
ap-7672	120	28	)	)	PUNCT
ap-7672	120	29	2	2	NUM
ap-7672	120	30	)	)	PUNCT
ap-7672	120	31	]	]	PUNCT
ap-7672	121	1	′′	′′	PROPN
ap-7672	121	2	.	.	PUNCT
ap-7672	122	1	(	(	PUNCT
ap-7672	122	2	23	23	NUM
ap-7672	122	3	)	)	PUNCT
ap-7672	122	4	since	since	SCONJ
ap-7672	122	5	u(2	u(2	ADJ
ap-7672	122	6	)	)	PUNCT
ap-7672	122	7	2	2	NUM
ap-7672	122	8	is	be	AUX
ap-7672	122	9	an	an	DET
ap-7672	122	10	infinite	infinite	ADJ
ap-7672	122	11	series	series	NOUN
ap-7672	122	12	,	,	PUNCT
ap-7672	122	13	ṽ	ṽ	PROPN
ap-7672	122	14	(	(	PUNCT
ap-7672	122	15	2	2	NUM
ap-7672	122	16	)	)	PUNCT
ap-7672	122	17	is	be	AUX
ap-7672	122	18	a	a	DET
ap-7672	122	19	non	non	ADJ
ap-7672	122	20	-	-	ADJ
ap-7672	122	21	rational	rational	ADJ
ap-7672	122	22	extension	extension	NOUN
ap-7672	122	23	of	of	ADP
ap-7672	122	24	v	v	NOUN
ap-7672	122	25	.	.	PUNCT
ap-7672	123	1	the	the	DET
ap-7672	123	2	eigenfunctions	eigenfunction	NOUN
ap-7672	123	3	of	of	ADP
ap-7672	123	4	its	its	PRON
ap-7672	123	5	hamiltonian	hamiltonian	NOUN
ap-7672	123	6	are	be	AUX
ap-7672	123	7	ψ̃(2	ψ̃(2	PROPN
ap-7672	123	8	)	)	PUNCT
ap-7672	123	9	n	n	NOUN
ap-7672	123	10	=	=	SYM
ap-7672	123	11	b(2)+ψn√	b(2)+ψn√	PROPN
ap-7672	123	12	(	(	PUNCT
ap-7672	123	13	en	en	ADP
ap-7672	123	14	−	−	PROPN
ap-7672	123	15	e3)(en	e3)(en	PROPN
ap-7672	123	16	−	−	PROPN
ap-7672	123	17	e4	e4	PROPN
ap-7672	123	18	)	)	PUNCT
ap-7672	123	19	,	,	PUNCT
ap-7672	123	20	n	n	NOUN
ap-7672	123	21	=	=	SYM
ap-7672	123	22	0	0	NUM
ap-7672	123	23	,	,	PUNCT
ap-7672	123	24	2	2	NUM
ap-7672	123	25	,	,	PUNCT
ap-7672	123	26	3	3	NUM
ap-7672	123	27	,	,	PUNCT
ap-7672	123	28	.	.	PUNCT
ap-7672	123	29	.	.	PUNCT
ap-7672	124	1	.	.	PUNCT
ap-7672	125	1	,	,	PUNCT
ap-7672	125	2	(	(	PUNCT
ap-7672	125	3	24	24	NUM
ap-7672	125	4	)	)	PUNCT
ap-7672	125	5	and	and	CCONJ
ap-7672	125	6	the	the	DET
ap-7672	125	7	missing	miss	VERB
ap-7672	125	8	states	state	NOUN
ap-7672	125	9	ψ̃	ψ̃	PROPN
ap-7672	125	10	(	(	PUNCT
ap-7672	125	11	2	2	X
ap-7672	125	12	)	)	PUNCT
ap-7672	125	13	e3	e3	VERB
ap-7672	125	14	∝	∝	PROPN
ap-7672	125	15	u	u	NOUN
ap-7672	125	16	(	(	PUNCT
ap-7672	125	17	2	2	NUM
ap-7672	125	18	)	)	PUNCT
ap-7672	125	19	2	2	NUM
ap-7672	125	20	w	w	NOUN
ap-7672	125	21	(	(	PUNCT
ap-7672	125	22	u(2	u(2	ADJ
ap-7672	125	23	)	)	PUNCT
ap-7672	125	24	1	1	NUM
ap-7672	125	25	,	,	PUNCT
ap-7672	125	26	u	u	NOUN
ap-7672	125	27	(	(	PUNCT
ap-7672	125	28	2	2	NUM
ap-7672	125	29	)	)	PUNCT
ap-7672	125	30	2	2	NUM
ap-7672	125	31	)	)	PUNCT
ap-7672	125	32	,	,	PUNCT
ap-7672	125	33	ψ̃	ψ̃	PROPN
ap-7672	125	34	(	(	PUNCT
ap-7672	125	35	2	2	NUM
ap-7672	125	36	)	)	PUNCT
ap-7672	125	37	e4	e4	PROPN
ap-7672	125	38	∝	∝	PROPN
ap-7672	125	39	u	u	PROPN
ap-7672	125	40	(	(	PUNCT
ap-7672	125	41	2	2	NUM
ap-7672	125	42	)	)	PUNCT
ap-7672	125	43	1	1	NUM
ap-7672	125	44	w	w	NOUN
ap-7672	125	45	(	(	PUNCT
ap-7672	125	46	u(2	u(2	ADJ
ap-7672	125	47	)	)	PUNCT
ap-7672	125	48	1	1	NUM
ap-7672	125	49	,	,	PUNCT
ap-7672	125	50	u	u	NOUN
ap-7672	125	51	(	(	PUNCT
ap-7672	125	52	2	2	NUM
ap-7672	125	53	)	)	PUNCT
ap-7672	125	54	2	2	NUM
ap-7672	125	55	)	)	PUNCT
ap-7672	125	56	.	.	PUNCT
ap-7672	126	1	(	(	PUNCT
ap-7672	126	2	25	25	NUM
ap-7672	126	3	)	)	PUNCT
ap-7672	126	4	in	in	ADP
ap-7672	126	5	this	this	DET
ap-7672	126	6	case	case	NOUN
ap-7672	126	7	,	,	PUNCT
ap-7672	126	8	owing	owe	VERB
ap-7672	126	9	to	to	ADP
ap-7672	126	10	the	the	DET
ap-7672	126	11	divergent	divergent	ADJ
ap-7672	126	12	asymptotic	asymptotic	ADJ
ap-7672	126	13	behaviour	behaviour	NOUN
ap-7672	126	14	of	of	ADP
ap-7672	126	15	the	the	DET
ap-7672	126	16	solution	solution	NOUN
ap-7672	126	17	u(2	u(2	ADJ
ap-7672	126	18	)	)	PUNCT
ap-7672	126	19	2	2	NUM
ap-7672	126	20	when	when	SCONJ
ap-7672	126	21	|x|	|x|	PROPN
ap-7672	126	22	→	→	SYM
ap-7672	126	23	∞	∞	PROPN
ap-7672	126	24	,	,	PUNCT
ap-7672	126	25	the	the	DET
ap-7672	126	26	missing	miss	VERB
ap-7672	126	27	state	state	NOUN
ap-7672	126	28	ψ̃(2	ψ̃(2	NOUN
ap-7672	126	29	)	)	PUNCT
ap-7672	126	30	e3	e3	NOUN
ap-7672	126	31	is	be	AUX
ap-7672	126	32	not	not	PART
ap-7672	126	33	normalizable	normalizable	ADJ
ap-7672	126	34	,	,	PUNCT
ap-7672	126	35	and	and	CCONJ
ap-7672	126	36	since	since	SCONJ
ap-7672	126	37	u(2	u(2	ADJ
ap-7672	126	38	)	)	PUNCT
ap-7672	126	39	1	1	NUM
ap-7672	126	40	converges	converge	NOUN
ap-7672	126	41	,	,	PUNCT
ap-7672	126	42	the	the	DET
ap-7672	126	43	state	state	NOUN
ap-7672	126	44	ψ̃(2	ψ̃(2	PROPN
ap-7672	126	45	)	)	PUNCT
ap-7672	126	46	e4	e4	PROPN
ap-7672	126	47	is	be	AUX
ap-7672	126	48	square	square	ADV
ap-7672	126	49	-	-	PUNCT
ap-7672	126	50	integrable	integrable	ADJ
ap-7672	126	51	.	.	PUNCT
ap-7672	127	1	therefore	therefore	ADV
ap-7672	127	2	,	,	PUNCT
ap-7672	127	3	the	the	DET
ap-7672	127	4	energy	energy	NOUN
ap-7672	127	5	spectrum	spectrum	NOUN
ap-7672	127	6	of	of	ADP
ap-7672	127	7	h̃(2	h̃(2	NOUN
ap-7672	127	8	)	)	PUNCT
ap-7672	127	9	is	be	AUX
ap-7672	127	10	sp(h̃(2	sp(h̃(2	ADJ
ap-7672	127	11	)	)	PUNCT
ap-7672	127	12	)	)	PUNCT
ap-7672	128	1	=	=	PRON
ap-7672	128	2	{	{	PUNCT
ap-7672	128	3	e0	e0	PROPN
ap-7672	128	4	,	,	PUNCT
ap-7672	128	5	e3	e3	NOUN
ap-7672	128	6	,	,	PUNCT
ap-7672	128	7	e2	e2	PROPN
ap-7672	128	8	,	,	PUNCT
ap-7672	128	9	.	.	PUNCT
ap-7672	128	10	.	.	PUNCT
ap-7672	128	11	.	.	PUNCT
ap-7672	129	1	}	}	PUNCT
ap-7672	129	2	.	.	PUNCT
ap-7672	130	1	it	it	PRON
ap-7672	130	2	is	be	AUX
ap-7672	130	3	important	important	ADJ
ap-7672	130	4	to	to	PART
ap-7672	130	5	notice	notice	VERB
ap-7672	130	6	that	that	SCONJ
ap-7672	130	7	the	the	DET
ap-7672	130	8	seed	seed	NOUN
ap-7672	130	9	functions	function	NOUN
ap-7672	130	10	u	u	NOUN
ap-7672	130	11	(	(	PUNCT
ap-7672	130	12	1	1	NUM
ap-7672	130	13	)	)	PUNCT
ap-7672	130	14	1	1	NUM
ap-7672	130	15	,	,	PUNCT
ap-7672	130	16	u	u	NOUN
ap-7672	130	17	(	(	PUNCT
ap-7672	130	18	1	1	NUM
ap-7672	130	19	)	)	PUNCT
ap-7672	130	20	2	2	NUM
ap-7672	130	21	used	use	VERB
ap-7672	130	22	to	to	PART
ap-7672	130	23	construct	construct	VERB
ap-7672	130	24	h̃(1	h̃(1	NOUN
ap-7672	130	25	)	)	PUNCT
ap-7672	130	26	are	be	AUX
ap-7672	130	27	related	relate	VERB
ap-7672	130	28	to	to	ADP
ap-7672	130	29	the	the	DET
ap-7672	130	30	seed	seed	NOUN
ap-7672	130	31	solutions	solution	NOUN
ap-7672	130	32	u(2	u(2	ADJ
ap-7672	130	33	)	)	PUNCT
ap-7672	130	34	1	1	NUM
ap-7672	130	35	,	,	PUNCT
ap-7672	130	36	u	u	NOUN
ap-7672	130	37	(	(	PUNCT
ap-7672	130	38	2	2	NUM
ap-7672	130	39	)	)	PUNCT
ap-7672	130	40	2	2	NUM
ap-7672	130	41	involved	involve	VERB
ap-7672	130	42	in	in	ADP
ap-7672	130	43	h̃(2	h̃(2	NOUN
ap-7672	130	44	)	)	PUNCT
ap-7672	130	45	.	.	PUNCT
ap-7672	131	1	the	the	DET
ap-7672	131	2	functions	function	NOUN
ap-7672	131	3	u(1	u(1	NOUN
ap-7672	131	4	)	)	PUNCT
ap-7672	131	5	1	1	NUM
ap-7672	131	6	and	and	CCONJ
ap-7672	131	7	u	u	NOUN
ap-7672	131	8	(	(	PUNCT
ap-7672	131	9	2	2	NUM
ap-7672	131	10	)	)	SYM
ap-7672	131	11	2	2	NUM
ap-7672	131	12	satisfy	satisfy	NOUN
ap-7672	131	13	u	u	NOUN
ap-7672	131	14	(	(	PUNCT
ap-7672	131	15	1	1	NUM
ap-7672	131	16	)	)	SYM
ap-7672	131	17	2	2	NUM
ap-7672	131	18	=	=	SYM
ap-7672	131	19	√	√	NUM
ap-7672	131	20	2	2	NUM
ap-7672	131	21	√	√	PROPN
ap-7672	131	22	πex2	πex2	PROPN
ap-7672	131	23	u	u	PROPN
ap-7672	131	24	(	(	PUNCT
ap-7672	131	25	2	2	NUM
ap-7672	131	26	)	)	PUNCT
ap-7672	131	27	1	1	NUM
ap-7672	131	28	,	,	PUNCT
ap-7672	131	29	and	and	CCONJ
ap-7672	131	30	a−a−u	a−a−u	PROPN
ap-7672	131	31	(	(	PUNCT
ap-7672	131	32	2	2	NUM
ap-7672	131	33	)	)	SYM
ap-7672	131	34	2	2	NUM
ap-7672	131	35	=	=	SYM
ap-7672	131	36	2λ(λ−	2λ(λ−	NUM
ap-7672	131	37	1)u(1	1)u(1	NOUN
ap-7672	131	38	)	)	PUNCT
ap-7672	131	39	1	1	NUM
ap-7672	131	40	,	,	PUNCT
ap-7672	131	41	where	where	SCONJ
ap-7672	131	42	a−	a−	PROPN
ap-7672	131	43	is	be	AUX
ap-7672	131	44	the	the	DET
ap-7672	131	45	annihilation	annihilation	NOUN
ap-7672	131	46	operator	operator	NOUN
ap-7672	131	47	of	of	ADP
ap-7672	131	48	the	the	DET
ap-7672	131	49	harmonic	harmonic	ADJ
ap-7672	131	50	oscillator	oscillator	NOUN
ap-7672	131	51	.	.	PUNCT
ap-7672	132	1	then	then	ADV
ap-7672	132	2	,	,	PUNCT
ap-7672	132	3	by	by	ADP
ap-7672	132	4	a	a	DET
ap-7672	132	5	direct	direct	ADJ
ap-7672	132	6	substitution	substitution	NOUN
ap-7672	132	7	,	,	PUNCT
ap-7672	132	8	it	it	PRON
ap-7672	132	9	can	can	AUX
ap-7672	132	10	be	be	AUX
ap-7672	132	11	shown	show	VERB
ap-7672	132	12	that	that	SCONJ
ap-7672	132	13	h̃(2	h̃(2	NOUN
ap-7672	132	14	)	)	PUNCT
ap-7672	132	15	=	=	SYM
ap-7672	132	16	h̃(1	h̃(1	NOUN
ap-7672	132	17	)	)	PUNCT
ap-7672	133	1	+	+	NOUN
ap-7672	133	2	2	2	X
ap-7672	133	3	.	.	X
ap-7672	133	4	thus	thus	ADV
ap-7672	133	5	,	,	PUNCT
ap-7672	133	6	ṽ	ṽ	PROPN
ap-7672	133	7	(	(	PUNCT
ap-7672	133	8	1	1	NUM
ap-7672	133	9	)	)	PUNCT
ap-7672	133	10	and	and	CCONJ
ap-7672	133	11	ṽ	ṽ	PROPN
ap-7672	133	12	(	(	PUNCT
ap-7672	133	13	2	2	NUM
ap-7672	133	14	)	)	PUNCT
ap-7672	133	15	are	be	AUX
ap-7672	133	16	equivalent	equivalent	ADJ
ap-7672	133	17	non	non	ADJ
ap-7672	133	18	-	-	ADJ
ap-7672	133	19	rational	rational	ADJ
ap-7672	133	20	extensions	extension	NOUN
ap-7672	133	21	of	of	ADP
ap-7672	133	22	the	the	DET
ap-7672	133	23	harmonic	harmonic	ADJ
ap-7672	133	24	oscillator	oscillator	NOUN
ap-7672	133	25	.	.	PUNCT
ap-7672	134	1	notice	notice	VERB
ap-7672	134	2	that	that	SCONJ
ap-7672	134	3	due	due	ADP
ap-7672	134	4	to	to	ADP
ap-7672	134	5	this	this	DET
ap-7672	134	6	equivalence	equivalence	NOUN
ap-7672	134	7	,	,	PUNCT
ap-7672	134	8	the	the	DET
ap-7672	134	9	eigenfunctions	eigenfunction	NOUN
ap-7672	134	10	obtained	obtain	VERB
ap-7672	134	11	by	by	ADP
ap-7672	134	12	both	both	DET
ap-7672	134	13	32	32	NUM
ap-7672	134	14	vol	vol	NOUN
ap-7672	134	15	.	.	PUNCT
ap-7672	135	1	62	62	NUM
ap-7672	135	2	no	no	INTJ
ap-7672	135	3	.	.	PUNCT
ap-7672	136	1	1/2022	1/2022	NUM
ap-7672	136	2	linearised	linearise	VERB
ap-7672	136	3	cs	cs	PROPN
ap-7672	136	4	for	for	ADP
ap-7672	136	5	non	non	ADJ
ap-7672	136	6	-	-	ADJ
ap-7672	136	7	rational	rational	ADJ
ap-7672	136	8	susy	susy	NOUN
ap-7672	136	9	extensions	extension	NOUN
ap-7672	136	10	of	of	ADP
ap-7672	136	11	the	the	DET
ap-7672	136	12	ho	ho	PROPN
ap-7672	136	13	transformations	transformation	NOUN
ap-7672	136	14	are	be	AUX
ap-7672	136	15	the	the	DET
ap-7672	136	16	same	same	ADJ
ap-7672	136	17	but	but	CCONJ
ap-7672	136	18	with	with	ADP
ap-7672	136	19	eigenvalues	eigenvalue	NOUN
ap-7672	136	20	displaced	displace	VERB
ap-7672	136	21	.	.	PUNCT
ap-7672	137	1	in	in	ADP
ap-7672	137	2	the	the	DET
ap-7672	137	3	first	first	ADJ
ap-7672	137	4	extension	extension	NOUN
ap-7672	137	5	,	,	PUNCT
ap-7672	137	6	the	the	DET
ap-7672	137	7	ground	ground	NOUN
ap-7672	137	8	state	state	NOUN
ap-7672	137	9	is	be	AUX
ap-7672	137	10	the	the	DET
ap-7672	137	11	missing	miss	VERB
ap-7672	137	12	state	state	NOUN
ap-7672	137	13	ψ̃(1	ψ̃(1	NOUN
ap-7672	137	14	)	)	PUNCT
ap-7672	137	15	e2	e2	PROPN
ap-7672	137	16	,	,	PUNCT
ap-7672	137	17	which	which	PRON
ap-7672	137	18	is	be	AUX
ap-7672	137	19	also	also	ADV
ap-7672	137	20	obtained	obtain	VERB
ap-7672	137	21	by	by	ADP
ap-7672	137	22	b(2)+ψ0	b(2)+ψ0	PROPN
ap-7672	137	23	.	.	PUNCT
ap-7672	138	1	moreover	moreover	ADV
ap-7672	138	2	,	,	PUNCT
ap-7672	138	3	the	the	DET
ap-7672	138	4	missing	miss	VERB
ap-7672	138	5	state	state	NOUN
ap-7672	138	6	ψ̃(1	ψ̃(1	NOUN
ap-7672	138	7	)	)	PUNCT
ap-7672	138	8	e1	e1	NOUN
ap-7672	138	9	corresponds	correspond	NOUN
ap-7672	138	10	to	to	ADP
ap-7672	138	11	the	the	DET
ap-7672	138	12	missing	miss	VERB
ap-7672	138	13	state	state	NOUN
ap-7672	138	14	ψ̃(1	ψ̃(1	NOUN
ap-7672	138	15	)	)	PUNCT
ap-7672	138	16	e4	e4	PROPN
ap-7672	138	17	.	.	PUNCT
ap-7672	139	1	finally	finally	ADV
ap-7672	139	2	,	,	PUNCT
ap-7672	139	3	relations	relation	NOUN
ap-7672	139	4	(	(	PUNCT
ap-7672	139	5	19	19	NUM
ap-7672	139	6	)	)	PUNCT
ap-7672	139	7	and	and	CCONJ
ap-7672	139	8	(	(	PUNCT
ap-7672	139	9	24	24	NUM
ap-7672	139	10	)	)	PUNCT
ap-7672	139	11	are	be	AUX
ap-7672	139	12	also	also	ADV
ap-7672	139	13	equivalent	equivalent	ADJ
ap-7672	139	14	as	as	ADP
ap-7672	139	15	ψ̃(2	ψ̃(2	NOUN
ap-7672	139	16	)	)	PUNCT
ap-7672	140	1	n	n	CCONJ
ap-7672	140	2	∝	∝	PROPN
ap-7672	140	3	ψ̃	ψ̃	PROPN
ap-7672	140	4	(	(	PUNCT
ap-7672	140	5	1	1	X
ap-7672	140	6	)	)	PUNCT
ap-7672	140	7	n−2	n−2	PROPN
ap-7672	140	8	,	,	PUNCT
ap-7672	140	9	where	where	SCONJ
ap-7672	140	10	n	n	NOUN
ap-7672	140	11	=	=	SYM
ap-7672	140	12	2	2	NUM
ap-7672	140	13	,	,	PUNCT
ap-7672	140	14	3	3	NUM
ap-7672	140	15	,	,	PUNCT
ap-7672	140	16	4	4	NUM
ap-7672	140	17	,	,	PUNCT
ap-7672	140	18	.	.	PUNCT
ap-7672	140	19	.	.	PUNCT
ap-7672	140	20	.	.	PUNCT
ap-7672	141	1	3.3	3.3	NUM
ap-7672	141	2	.	.	PUNCT
ap-7672	142	1	ladder	ladder	NOUN
ap-7672	142	2	operators	operator	NOUN
ap-7672	142	3	since	since	SCONJ
ap-7672	142	4	both	both	PRON
ap-7672	142	5	hamiltonians	hamiltonian	VERB
ap-7672	142	6	h̃(1	h̃(1	NOUN
ap-7672	142	7	)	)	PUNCT
ap-7672	142	8	and	and	CCONJ
ap-7672	142	9	h̃(2	h̃(2	NOUN
ap-7672	142	10	)	)	PUNCT
ap-7672	142	11	are	be	AUX
ap-7672	142	12	equivalent	equivalent	ADJ
ap-7672	142	13	,	,	PUNCT
ap-7672	142	14	we	we	PRON
ap-7672	142	15	can	can	AUX
ap-7672	142	16	simplify	simplify	VERB
ap-7672	142	17	the	the	DET
ap-7672	142	18	notation	notation	NOUN
ap-7672	142	19	by	by	ADP
ap-7672	142	20	defining	define	VERB
ap-7672	142	21	h̃(2	h̃(2	NOUN
ap-7672	142	22	)	)	PUNCT
ap-7672	142	23	as	as	ADP
ap-7672	142	24	h̃	h̃	PROPN
ap-7672	142	25	,	,	PUNCT
ap-7672	142	26	its	its	PRON
ap-7672	142	27	eigenfunctions	eigenfunction	NOUN
ap-7672	142	28	simply	simply	ADV
ap-7672	142	29	by	by	ADP
ap-7672	142	30	ψ̃	ψ̃	PROPN
ap-7672	142	31	,	,	PUNCT
ap-7672	142	32	the	the	DET
ap-7672	142	33	potential	potential	ADJ
ap-7672	142	34	ṽ	ṽ	PROPN
ap-7672	142	35	(	(	PUNCT
ap-7672	142	36	2	2	NUM
ap-7672	142	37	)	)	PUNCT
ap-7672	142	38	as	as	ADP
ap-7672	142	39	ṽ	ṽ	PROPN
ap-7672	142	40	,	,	PUNCT
ap-7672	142	41	and	and	CCONJ
ap-7672	142	42	e3	e3	VERB
ap-7672	142	43	as	as	SCONJ
ap-7672	142	44	ϵ.	ϵ.	NOUN
ap-7672	142	45	be	be	AUX
ap-7672	142	46	aware	aware	ADJ
ap-7672	142	47	that	that	SCONJ
ap-7672	142	48	1/2	1/2	NUM
ap-7672	142	49	<	<	X
ap-7672	142	50	ϵ	ϵ	X
ap-7672	142	51	<	<	X
ap-7672	142	52	5/2	5/2	NUM
ap-7672	142	53	.	.	PUNCT
ap-7672	143	1	now	now	ADV
ap-7672	143	2	,	,	PUNCT
ap-7672	143	3	we	we	PRON
ap-7672	143	4	can	can	AUX
ap-7672	143	5	define	define	VERB
ap-7672	143	6	the	the	DET
ap-7672	143	7	ladder	ladder	NOUN
ap-7672	143	8	operators	operator	NOUN
ap-7672	143	9	for	for	ADP
ap-7672	143	10	the	the	DET
ap-7672	143	11	susy	susy	NOUN
ap-7672	143	12	extension	extension	NOUN
ap-7672	143	13	h̃	h̃	PROPN
ap-7672	143	14	as	as	ADP
ap-7672	143	15	the	the	DET
ap-7672	143	16	product	product	NOUN
ap-7672	143	17	of	of	ADP
ap-7672	143	18	the	the	DET
ap-7672	143	19	intertwining	intertwine	VERB
ap-7672	143	20	operators	operator	NOUN
ap-7672	143	21	related	relate	VERB
ap-7672	143	22	to	to	ADP
ap-7672	143	23	the	the	DET
ap-7672	143	24	equivalent	equivalent	ADJ
ap-7672	143	25	susy	susy	NOUN
ap-7672	143	26	transformations	transformation	NOUN
ap-7672	143	27	as	as	ADP
ap-7672	143	28	in	in	ADP
ap-7672	143	29	[	[	X
ap-7672	143	30	32	32	NUM
ap-7672	143	31	]	]	PUNCT
ap-7672	143	32	,	,	PUNCT
ap-7672	143	33	i.e.	i.e.	X
ap-7672	143	34	l+	l+	X
ap-7672	143	35	=	=	SYM
ap-7672	143	36	b(1)+b(2	b(1)+b(2	NOUN
ap-7672	143	37	)	)	PUNCT
ap-7672	143	38	,	,	PUNCT
ap-7672	143	39	l−	l−	NOUN
ap-7672	143	40	=	=	SYM
ap-7672	143	41	b(2)+b(1	b(2)+b(1	NUM
ap-7672	143	42	)	)	PUNCT
ap-7672	143	43	.	.	PUNCT
ap-7672	144	1	(	(	PUNCT
ap-7672	144	2	26	26	NUM
ap-7672	144	3	)	)	PUNCT
ap-7672	144	4	they	they	PRON
ap-7672	144	5	satisfy	satisfy	VERB
ap-7672	144	6	the	the	DET
ap-7672	144	7	following	follow	VERB
ap-7672	144	8	commutation	commutation	NOUN
ap-7672	144	9	algebra	algebra	NOUN
ap-7672	144	10	[	[	X
ap-7672	144	11	h̃,l±	h̃,l±	X
ap-7672	144	12	]	]	X
ap-7672	144	13	=	=	SYM
ap-7672	144	14	±2l±	±2l±	X
ap-7672	144	15	,	,	PUNCT
ap-7672	144	16	(	(	PUNCT
ap-7672	144	17	27	27	NUM
ap-7672	144	18	)	)	PUNCT
ap-7672	144	19	and	and	CCONJ
ap-7672	145	1	[	[	X
ap-7672	145	2	l−,l+	l−,l+	X
ap-7672	145	3	]	]	X
ap-7672	145	4	=	=	SYM
ap-7672	145	5	(	(	PUNCT
ap-7672	145	6	h̃	h̃	PROPN
ap-7672	145	7	+	+	CCONJ
ap-7672	145	8	2	2	NUM
ap-7672	145	9	−	−	NOUN
ap-7672	145	10	e1)(h̃	e1)(h̃	NOUN
ap-7672	145	11	+	+	CCONJ
ap-7672	145	12	2	2	NUM
ap-7672	145	13	−	−	PROPN
ap-7672	145	14	e2	e2	PROPN
ap-7672	145	15	)	)	PUNCT
ap-7672	145	16	(	(	PUNCT
ap-7672	145	17	h̃	h̃	PROPN
ap-7672	145	18	+	+	CCONJ
ap-7672	145	19	2	2	NUM
ap-7672	145	20	−	−	NOUN
ap-7672	145	21	e3)(h̃	e3)(h̃	NOUN
ap-7672	145	22	+	+	CCONJ
ap-7672	145	23	2	2	NUM
ap-7672	145	24	−	−	PROPN
ap-7672	145	25	e4	e4	PROPN
ap-7672	145	26	)	)	PUNCT
ap-7672	145	27	−	−	PROPN
ap-7672	146	1	(	(	PUNCT
ap-7672	146	2	h̃	h̃	PROPN
ap-7672	146	3	−	−	NOUN
ap-7672	146	4	e1)(h̃	e1)(h̃	VERB
ap-7672	146	5	−	−	NOUN
ap-7672	146	6	e2)(h̃	e2)(h̃	ADJ
ap-7672	146	7	−	−	PROPN
ap-7672	146	8	e3)(h̃	e3)(h̃	PROPN
ap-7672	146	9	−	−	PROPN
ap-7672	146	10	e4	e4	PROPN
ap-7672	146	11	)	)	PUNCT
ap-7672	146	12	.	.	PUNCT
ap-7672	147	1	(	(	PUNCT
ap-7672	147	2	28	28	NUM
ap-7672	147	3	)	)	PUNCT
ap-7672	147	4	from	from	ADP
ap-7672	147	5	the	the	DET
ap-7672	147	6	relation	relation	NOUN
ap-7672	147	7	(	(	PUNCT
ap-7672	147	8	27	27	NUM
ap-7672	147	9	)	)	PUNCT
ap-7672	147	10	and	and	CCONJ
ap-7672	147	11	the	the	DET
ap-7672	147	12	diagram	diagram	NOUN
ap-7672	147	13	in	in	ADP
ap-7672	147	14	figure	figure	NOUN
ap-7672	147	15	1	1	NUM
ap-7672	147	16	,	,	PUNCT
ap-7672	147	17	we	we	PRON
ap-7672	147	18	can	can	AUX
ap-7672	147	19	observe	observe	VERB
ap-7672	147	20	how	how	SCONJ
ap-7672	147	21	these	these	DET
ap-7672	147	22	operators	operator	NOUN
ap-7672	147	23	are	be	AUX
ap-7672	147	24	two	two	NUM
ap-7672	147	25	-	-	PUNCT
ap-7672	147	26	step	step	NOUN
ap-7672	147	27	ladder	ladder	NOUN
ap-7672	147	28	operators	operator	NOUN
ap-7672	147	29	.	.	PUNCT
ap-7672	148	1	furthermore	furthermore	ADV
ap-7672	148	2	,	,	PUNCT
ap-7672	148	3	the	the	DET
ap-7672	148	4	commutation	commutation	NOUN
ap-7672	148	5	relation	relation	NOUN
ap-7672	148	6	(	(	PUNCT
ap-7672	148	7	28	28	NUM
ap-7672	148	8	)	)	PUNCT
ap-7672	148	9	indicates	indicate	VERB
ap-7672	148	10	that	that	SCONJ
ap-7672	148	11	these	these	DET
ap-7672	148	12	operators	operator	NOUN
ap-7672	148	13	,	,	PUNCT
ap-7672	148	14	together	together	ADV
ap-7672	148	15	with	with	ADP
ap-7672	148	16	h̃	h̃	PROPN
ap-7672	148	17	,	,	PUNCT
ap-7672	148	18	realize	realize	VERB
ap-7672	148	19	a	a	DET
ap-7672	148	20	polynomial	polynomial	PROPN
ap-7672	148	21	heisenberg	heisenberg	PROPN
ap-7672	148	22	algebra	algebra	PROPN
ap-7672	148	23	of	of	ADP
ap-7672	148	24	thirdorder	thirdorder	NOUN
ap-7672	149	1	[	[	X
ap-7672	149	2	33	33	NUM
ap-7672	149	3	]	]	PUNCT
ap-7672	149	4	,	,	PUNCT
ap-7672	149	5	with	with	ADP
ap-7672	149	6	a	a	DET
ap-7672	149	7	generalized	generalized	ADJ
ap-7672	149	8	number	number	NOUN
ap-7672	149	9	operator	operator	NOUN
ap-7672	149	10	:	:	PUNCT
ap-7672	149	11	n4(h̃	n4(h̃	PROPN
ap-7672	149	12	)	)	PUNCT
ap-7672	149	13	=	=	SYM
ap-7672	150	1	l+l−	l+l−	X
ap-7672	150	2	=	=	SYM
ap-7672	150	3	(	(	PUNCT
ap-7672	150	4	h̃	h̃	PROPN
ap-7672	150	5	−	−	NOUN
ap-7672	150	6	e1)(h̃	e1)(h̃	NOUN
ap-7672	150	7	−	−	NOUN
ap-7672	150	8	e2)(h̃	e2)(h̃	ADJ
ap-7672	150	9	−	−	PROPN
ap-7672	150	10	e3)(h̃	e3)(h̃	PROPN
ap-7672	150	11	−	−	PROPN
ap-7672	150	12	e4	e4	PROPN
ap-7672	150	13	)	)	PUNCT
ap-7672	150	14	.	.	PUNCT
ap-7672	151	1	(	(	PUNCT
ap-7672	151	2	29	29	NUM
ap-7672	151	3	)	)	PUNCT
ap-7672	151	4	the	the	DET
ap-7672	151	5	kernel	kernel	NOUN
ap-7672	151	6	of	of	ADP
ap-7672	151	7	the	the	DET
ap-7672	151	8	annihilation	annihilation	NOUN
ap-7672	151	9	operator	operator	NOUN
ap-7672	151	10	l−	l−	NOUN
ap-7672	151	11	is	be	AUX
ap-7672	151	12	composed	compose	VERB
ap-7672	151	13	by	by	ADP
ap-7672	151	14	the	the	DET
ap-7672	151	15	functions	function	NOUN
ap-7672	151	16	kl−	kl−	PROPN
ap-7672	151	17	=	=	SYM
ap-7672	151	18	{	{	PUNCT
ap-7672	151	19	ψ̃e0	ψ̃e0	PROPN
ap-7672	151	20	,	,	PUNCT
ap-7672	151	21	ψ̃ϵ	ψ̃ϵ	PROPN
ap-7672	151	22	,	,	PUNCT
ap-7672	151	23	ψ̃e3	ψ̃e3	PROPN
ap-7672	151	24	,	,	PUNCT
ap-7672	151	25	b	b	PROPN
ap-7672	151	26	(	(	PUNCT
ap-7672	151	27	1)+u	1)+u	NUM
ap-7672	151	28	(	(	PUNCT
ap-7672	151	29	2	2	NUM
ap-7672	151	30	)	)	PUNCT
ap-7672	151	31	2	2	NUM
ap-7672	151	32	}	}	PUNCT
ap-7672	151	33	.	.	PUNCT
ap-7672	152	1	(	(	PUNCT
ap-7672	152	2	30	30	NUM
ap-7672	152	3	)	)	PUNCT
ap-7672	152	4	the	the	DET
ap-7672	152	5	first	first	ADJ
ap-7672	152	6	three	three	NUM
ap-7672	152	7	elements	element	NOUN
ap-7672	152	8	of	of	ADP
ap-7672	152	9	the	the	DET
ap-7672	152	10	kernel	kernel	NOUN
ap-7672	152	11	are	be	AUX
ap-7672	152	12	eigenfunctions	eigenfunction	NOUN
ap-7672	152	13	of	of	ADP
ap-7672	152	14	h̃	h̃	PROPN
ap-7672	152	15	and	and	CCONJ
ap-7672	152	16	the	the	DET
ap-7672	152	17	last	last	ADJ
ap-7672	152	18	one	one	NOUN
ap-7672	152	19	is	be	AUX
ap-7672	152	20	a	a	DET
ap-7672	152	21	non	non	ADJ
ap-7672	152	22	-	-	ADJ
ap-7672	152	23	normalizable	normalizable	ADJ
ap-7672	152	24	solution	solution	NOUN
ap-7672	152	25	of	of	ADP
ap-7672	152	26	the	the	DET
ap-7672	152	27	corresponding	correspond	VERB
ap-7672	152	28	schrödinger	schrödinger	ADJ
ap-7672	152	29	equation	equation	NOUN
ap-7672	152	30	.	.	PUNCT
ap-7672	153	1	by	by	ADP
ap-7672	153	2	applying	apply	VERB
ap-7672	153	3	iteratively	iteratively	ADV
ap-7672	153	4	the	the	DET
ap-7672	153	5	operator	operator	NOUN
ap-7672	153	6	l+	l+	NOUN
ap-7672	153	7	onto	onto	ADP
ap-7672	153	8	these	these	DET
ap-7672	153	9	three	three	NUM
ap-7672	153	10	eigenfunctions	eigenfunction	NOUN
ap-7672	153	11	,	,	PUNCT
ap-7672	153	12	we	we	PRON
ap-7672	153	13	can	can	AUX
ap-7672	153	14	construct	construct	VERB
ap-7672	153	15	a	a	DET
ap-7672	153	16	basis	basis	NOUN
ap-7672	153	17	of	of	ADP
ap-7672	153	18	three	three	NUM
ap-7672	153	19	subspaces	subspace	NOUN
ap-7672	153	20	of	of	ADP
ap-7672	153	21	the	the	DET
ap-7672	153	22	hilbert	hilbert	NOUN
ap-7672	153	23	space	space	NOUN
ap-7672	153	24	,	,	PUNCT
ap-7672	153	25	the	the	DET
ap-7672	153	26	direct	direct	ADJ
ap-7672	153	27	sum	sum	NOUN
ap-7672	153	28	of	of	ADP
ap-7672	153	29	the	the	DET
ap-7672	153	30	three	three	NUM
ap-7672	153	31	hilbert	hilbert	NOUN
ap-7672	153	32	-	-	PUNCT
ap-7672	153	33	subspaces	subspace	NOUN
ap-7672	153	34	compose	compose	VERB
ap-7672	153	35	the	the	DET
ap-7672	153	36	whole	whole	ADJ
ap-7672	153	37	hilbert	hilbert	NOUN
ap-7672	153	38	space	space	NOUN
ap-7672	153	39	(	(	PUNCT
ap-7672	153	40	see	see	VERB
ap-7672	153	41	figure	figure	NOUN
ap-7672	153	42	2	2	NUM
ap-7672	153	43	)	)	PUNCT
ap-7672	153	44	.	.	PUNCT
ap-7672	154	1	notice	notice	VERB
ap-7672	154	2	that	that	SCONJ
ap-7672	154	3	ψ̃ϵ	ψ̃ϵ	VERB
ap-7672	154	4	is	be	AUX
ap-7672	154	5	annihilated	annihilate	VERB
ap-7672	154	6	by	by	ADP
ap-7672	154	7	l+	l+	PROPN
ap-7672	154	8	,	,	PUNCT
ap-7672	154	9	then	then	ADV
ap-7672	154	10	the	the	DET
ap-7672	154	11	corresponding	corresponding	ADJ
ap-7672	154	12	subspace	subspace	NOUN
ap-7672	154	13	will	will	AUX
ap-7672	154	14	be	be	AUX
ap-7672	154	15	one	one	NUM
ap-7672	154	16	-	-	PUNCT
ap-7672	154	17	dimensional	dimensional	ADJ
ap-7672	154	18	whereas	whereas	SCONJ
ap-7672	154	19	the	the	DET
ap-7672	154	20	other	other	ADJ
ap-7672	154	21	two	two	NUM
ap-7672	154	22	are	be	AUX
ap-7672	154	23	infinite	infinite	ADJ
ap-7672	154	24	-	-	PUNCT
ap-7672	154	25	dimensinal	dimensinal	ADJ
ap-7672	154	26	subspaces	subspace	NOUN
ap-7672	154	27	.	.	PUNCT
ap-7672	154	28	.	.	PUNCT
ap-7672	155	1	figure	figure	VERB
ap-7672	155	2	1	1	NUM
ap-7672	155	3	.	.	PUNCT
ap-7672	156	1	diagram	diagram	NOUN
ap-7672	156	2	of	of	ADP
ap-7672	156	3	the	the	DET
ap-7672	156	4	mechanism	mechanism	NOUN
ap-7672	156	5	of	of	ADP
ap-7672	156	6	the	the	DET
ap-7672	156	7	two	two	NUM
ap-7672	156	8	-	-	PUNCT
ap-7672	156	9	step	step	NOUN
ap-7672	156	10	ladder	ladder	NOUN
ap-7672	156	11	operators	operator	NOUN
ap-7672	156	12	(	(	PUNCT
ap-7672	156	13	26	26	NUM
ap-7672	156	14	)	)	PUNCT
ap-7672	156	15	figure	figure	NOUN
ap-7672	156	16	2	2	NUM
ap-7672	156	17	.	.	PUNCT
ap-7672	157	1	three	three	NUM
ap-7672	157	2	independent	independent	ADJ
ap-7672	157	3	energy	energy	NOUN
ap-7672	157	4	ladders	ladder	NOUN
ap-7672	157	5	that	that	PRON
ap-7672	157	6	make	make	VERB
ap-7672	157	7	up	up	ADP
ap-7672	157	8	the	the	DET
ap-7672	157	9	spectrum	spectrum	NOUN
ap-7672	157	10	of	of	ADP
ap-7672	157	11	h̃.	h̃.	PROPN
ap-7672	157	12	this	this	DET
ap-7672	157	13	spectrum	spectrum	NOUN
ap-7672	157	14	is	be	AUX
ap-7672	157	15	composed	compose	VERB
ap-7672	157	16	by	by	ADP
ap-7672	157	17	two	two	NUM
ap-7672	157	18	infinite	infinite	ADJ
ap-7672	157	19	energy	energy	NOUN
ap-7672	157	20	ladders	ladder	NOUN
ap-7672	157	21	and	and	CCONJ
ap-7672	157	22	a	a	DET
ap-7672	157	23	singleelement	singleelement	ADJ
ap-7672	157	24	one	one	NUM
ap-7672	157	25	.	.	PUNCT
ap-7672	158	1	4	4	X
ap-7672	158	2	.	.	NUM
ap-7672	158	3	linearised	linearise	VERB
ap-7672	158	4	coherent	coherent	ADJ
ap-7672	158	5	states	state	NOUN
ap-7672	158	6	and	and	CCONJ
ap-7672	158	7	their	their	PRON
ap-7672	158	8	properties	property	NOUN
ap-7672	158	9	once	once	SCONJ
ap-7672	158	10	we	we	PRON
ap-7672	158	11	have	have	AUX
ap-7672	158	12	defined	define	VERB
ap-7672	158	13	the	the	DET
ap-7672	158	14	ladder	ladder	NOUN
ap-7672	158	15	operators	operator	NOUN
ap-7672	158	16	l±	l±	VERB
ap-7672	158	17	in	in	ADP
ap-7672	158	18	(	(	PUNCT
ap-7672	158	19	26	26	NUM
ap-7672	158	20	)	)	PUNCT
ap-7672	158	21	,	,	PUNCT
ap-7672	158	22	and	and	CCONJ
ap-7672	158	23	clarify	clarify	VERB
ap-7672	158	24	how	how	SCONJ
ap-7672	158	25	they	they	PRON
ap-7672	158	26	divide	divide	VERB
ap-7672	158	27	the	the	DET
ap-7672	158	28	hilbert	hilbert	NOUN
ap-7672	158	29	space	space	NOUN
ap-7672	158	30	into	into	ADP
ap-7672	158	31	two	two	NUM
ap-7672	158	32	infinite	infinite	ADJ
ap-7672	158	33	subspaces	subspace	NOUN
ap-7672	158	34	(	(	PUNCT
ap-7672	158	35	or	or	CCONJ
ap-7672	158	36	energy	energy	NOUN
ap-7672	158	37	ladders	ladder	NOUN
ap-7672	158	38	)	)	PUNCT
ap-7672	158	39	plus	plus	CCONJ
ap-7672	158	40	a	a	DET
ap-7672	158	41	onedimensional	onedimensional	ADJ
ap-7672	158	42	subspace	subspace	NOUN
ap-7672	158	43	,	,	PUNCT
ap-7672	158	44	we	we	PRON
ap-7672	158	45	proceed	proceed	VERB
ap-7672	158	46	to	to	PART
ap-7672	158	47	linearise	linearise	VERB
ap-7672	158	48	them	they	PRON
ap-7672	158	49	.	.	PUNCT
ap-7672	159	1	we	we	PRON
ap-7672	159	2	focus	focus	VERB
ap-7672	159	3	on	on	ADP
ap-7672	159	4	the	the	DET
ap-7672	159	5	two	two	NUM
ap-7672	159	6	infinite	infinite	ADJ
ap-7672	159	7	subspaces	subspace	NOUN
ap-7672	159	8	since	since	SCONJ
ap-7672	159	9	the	the	DET
ap-7672	159	10	construction	construction	NOUN
ap-7672	159	11	of	of	ADP
ap-7672	159	12	the	the	DET
ap-7672	159	13	coherent	coherent	ADJ
ap-7672	159	14	state	state	NOUN
ap-7672	159	15	of	of	ADP
ap-7672	159	16	the	the	DET
ap-7672	159	17	third	third	ADJ
ap-7672	159	18	subspace	subspace	NOUN
ap-7672	159	19	is	be	AUX
ap-7672	159	20	trivial	trivial	ADJ
ap-7672	159	21	.	.	PUNCT
ap-7672	160	1	we	we	PRON
ap-7672	160	2	define	define	VERB
ap-7672	160	3	new	new	ADJ
ap-7672	160	4	ladder	ladder	NOUN
ap-7672	160	5	operators	operator	NOUN
ap-7672	160	6	for	for	ADP
ap-7672	160	7	each	each	DET
ap-7672	160	8	infinite	infinite	ADJ
ap-7672	160	9	subspace	subspace	NOUN
ap-7672	160	10	as	as	ADP
ap-7672	160	11	l+ν	l+ν	PROPN
ap-7672	160	12	=	=	PROPN
ap-7672	160	13	σν(h̃)l+	σν(h̃)l+	PROPN
ap-7672	160	14	,	,	PUNCT
ap-7672	160	15	l−ν	l−ν	X
ap-7672	160	16	=	=	SYM
ap-7672	160	17	σν(h̃	σν(h̃	PROPN
ap-7672	160	18	+	+	CCONJ
ap-7672	160	19	2)l−	2)l−	NUM
ap-7672	160	20	,	,	PUNCT
ap-7672	160	21	(	(	PUNCT
ap-7672	160	22	31	31	NUM
ap-7672	160	23	)	)	PUNCT
ap-7672	160	24	where	where	SCONJ
ap-7672	160	25	ν	ν	X
ap-7672	160	26	=	=	SYM
ap-7672	160	27	0	0	NUM
ap-7672	160	28	,	,	PUNCT
ap-7672	160	29	3	3	NUM
ap-7672	160	30	is	be	AUX
ap-7672	160	31	the	the	DET
ap-7672	160	32	index	index	NOUN
ap-7672	160	33	of	of	ADP
ap-7672	160	34	the	the	DET
ap-7672	160	35	subspace	subspace	NOUN
ap-7672	160	36	.	.	PUNCT
ap-7672	161	1	when	when	SCONJ
ap-7672	161	2	ν	ν	X
ap-7672	161	3	=	=	SYM
ap-7672	161	4	0	0	NUM
ap-7672	161	5	,	,	PUNCT
ap-7672	161	6	we	we	PRON
ap-7672	161	7	refer	refer	VERB
ap-7672	161	8	to	to	ADP
ap-7672	161	9	the	the	DET
ap-7672	161	10	subspace	subspace	NOUN
ap-7672	161	11	span{ψ̃0	span{ψ̃0	PROPN
ap-7672	161	12	,	,	PUNCT
ap-7672	161	13	ψ̃2	ψ̃2	PROPN
ap-7672	161	14	,	,	PUNCT
ap-7672	161	15	ψ̃4	ψ̃4	PROPN
ap-7672	161	16	,	,	PUNCT
ap-7672	161	17	.	.	PUNCT
ap-7672	161	18	.	.	PUNCT
ap-7672	161	19	.	.	PUNCT
ap-7672	162	1	}	}	PUNCT
ap-7672	163	1	and	and	CCONJ
ap-7672	163	2	,	,	PUNCT
ap-7672	163	3	when	when	SCONJ
ap-7672	163	4	ν	ν	X
ap-7672	163	5	=	=	SYM
ap-7672	163	6	3	3	NUM
ap-7672	163	7	,	,	PUNCT
ap-7672	163	8	we	we	PRON
ap-7672	163	9	refer	refer	VERB
ap-7672	163	10	to	to	ADP
ap-7672	163	11	the	the	DET
ap-7672	163	12	subspace	subspace	NOUN
ap-7672	163	13	span{ψ̃3	span{ψ̃3	PROPN
ap-7672	163	14	,	,	PUNCT
ap-7672	163	15	ψ̃5	ψ̃5	PROPN
ap-7672	163	16	,	,	PUNCT
ap-7672	163	17	ψ̃7	ψ̃7	PROPN
ap-7672	163	18	,	,	PUNCT
ap-7672	163	19	.	.	PUNCT
ap-7672	163	20	.	.	PUNCT
ap-7672	163	21	.	.	PUNCT
ap-7672	164	1	}	}	PUNCT
ap-7672	164	2	.	.	PUNCT
ap-7672	165	1	the	the	DET
ap-7672	165	2	operators	operator	NOUN
ap-7672	165	3	σν	σν	NOUN
ap-7672	165	4	are	be	AUX
ap-7672	165	5	defined	define	VERB
ap-7672	165	6	as	as	ADP
ap-7672	165	7	σ0(h̃	σ0(h̃	PROPN
ap-7672	165	8	)	)	PUNCT
ap-7672	165	9	=	=	PUNCT
ap-7672	166	1	[	[	X
ap-7672	166	2	(	(	PUNCT
ap-7672	166	3	h̃	h̃	PROPN
ap-7672	166	4	−	−	NOUN
ap-7672	166	5	e1)(h̃	e1)(h̃	VERB
ap-7672	166	6	−	−	PROPN
ap-7672	166	7	e3)(h̃	e3)(h̃	PROPN
ap-7672	166	8	−	−	PROPN
ap-7672	166	9	e4)]−1/2	e4)]−1/2	PROPN
ap-7672	166	10	,	,	PUNCT
ap-7672	166	11	σ3(h̃	σ3(h̃	PROPN
ap-7672	166	12	)	)	PUNCT
ap-7672	166	13	=	=	PUNCT
ap-7672	167	1	[	[	X
ap-7672	167	2	(	(	PUNCT
ap-7672	167	3	h̃	h̃	PROPN
ap-7672	167	4	−	−	NOUN
ap-7672	167	5	e1)(h̃	e1)(h̃	VERB
ap-7672	167	6	−	−	PROPN
ap-7672	167	7	e2)(h̃	e2)(h̃	ADJ
ap-7672	167	8	−	−	PROPN
ap-7672	167	9	e3)]−1/2	e3)]−1/2	PROPN
ap-7672	167	10	.	.	PUNCT
ap-7672	168	1	(	(	PUNCT
ap-7672	168	2	32	32	NUM
ap-7672	168	3	)	)	PUNCT
ap-7672	168	4	33	33	NUM
ap-7672	168	5	a.	a.	NOUN
ap-7672	168	6	contreras	contreras	PROPN
ap-7672	168	7	-	-	PUNCT
ap-7672	168	8	astorga	astorga	PROPN
ap-7672	168	9	,	,	PUNCT
ap-7672	168	10	d.	d.	PROPN
ap-7672	168	11	j.	j.	PROPN
ap-7672	168	12	fernández	fernández	PROPN
ap-7672	168	13	c.	c.	PROPN
ap-7672	168	14	,	,	PUNCT
ap-7672	168	15	c.	c.	PROPN
ap-7672	168	16	muro	muro	PROPN
ap-7672	168	17	-	-	PUNCT
ap-7672	168	18	cabral	cabral	PROPN
ap-7672	168	19	acta	acta	PROPN
ap-7672	168	20	polytechnica	polytechnica	PROPN
ap-7672	168	21	from	from	ADP
ap-7672	168	22	(	(	PUNCT
ap-7672	168	23	27	27	NUM
ap-7672	168	24	)	)	PUNCT
ap-7672	168	25	,	,	PUNCT
ap-7672	168	26	and	and	CCONJ
ap-7672	168	27	considering	consider	VERB
ap-7672	168	28	σν(x	σν(x	NOUN
ap-7672	168	29	)	)	PUNCT
ap-7672	168	30	a	a	DET
ap-7672	168	31	regular	regular	ADJ
ap-7672	168	32	function	function	NOUN
ap-7672	168	33	,	,	PUNCT
ap-7672	168	34	we	we	PRON
ap-7672	168	35	obtain	obtain	VERB
ap-7672	168	36	the	the	DET
ap-7672	168	37	following	follow	VERB
ap-7672	168	38	useful	useful	ADJ
ap-7672	168	39	relations	relation	NOUN
ap-7672	168	40	.	.	PUNCT
ap-7672	169	1	σν(h̃)l+	σν(h̃)l+	PROPN
ap-7672	169	2	=	=	PUNCT
ap-7672	170	1	l+σν(h̃	l+σν(h̃	PROPN
ap-7672	170	2	+	+	CCONJ
ap-7672	170	3	2	2	NUM
ap-7672	170	4	)	)	PUNCT
ap-7672	170	5	,	,	PUNCT
ap-7672	171	1	σν(h̃)l−	σν(h̃)l−	PROPN
ap-7672	171	2	=	=	PUNCT
ap-7672	172	1	l−σν(h̃	l−σν(h̃	ADV
ap-7672	172	2	−	−	PROPN
ap-7672	172	3	2	2	NUM
ap-7672	172	4	)	)	PUNCT
ap-7672	172	5	;	;	PUNCT
ap-7672	172	6	l+σν(h̃	l+σν(h̃	X
ap-7672	172	7	)	)	PUNCT
ap-7672	173	1	=	=	PUNCT
ap-7672	173	2	σ(h̃	σ(h̃	PROPN
ap-7672	174	1	−	−	PROPN
ap-7672	174	2	2)l+	2)l+	NUM
ap-7672	174	3	,	,	PUNCT
ap-7672	174	4	l−σν(h̃	l−σν(h̃	PROPN
ap-7672	174	5	)	)	PUNCT
ap-7672	174	6	=	=	SYM
ap-7672	174	7	σν(h̃	σν(h̃	ADV
ap-7672	175	1	+	+	CCONJ
ap-7672	175	2	2)l−.	2)l−.	NUM
ap-7672	175	3	using	use	VERB
ap-7672	175	4	(	(	PUNCT
ap-7672	175	5	29	29	NUM
ap-7672	175	6	)	)	PUNCT
ap-7672	175	7	,	,	PUNCT
ap-7672	175	8	it	it	PRON
ap-7672	175	9	is	be	AUX
ap-7672	175	10	direct	direct	ADJ
ap-7672	175	11	to	to	PART
ap-7672	175	12	show	show	VERB
ap-7672	175	13	that	that	SCONJ
ap-7672	175	14	the	the	DET
ap-7672	175	15	operators	operator	NOUN
ap-7672	175	16	l±ν	l±ν	AUX
ap-7672	175	17	fulfill	fulfill	VERB
ap-7672	175	18	the	the	DET
ap-7672	175	19	linear	linear	ADJ
ap-7672	175	20	commutation	commutation	NOUN
ap-7672	175	21	relation	relation	NOUN
ap-7672	176	1	[	[	X
ap-7672	176	2	lν	lν	INTJ
ap-7672	176	3	,	,	PUNCT
ap-7672	176	4	l+ν	l+ν	X
ap-7672	176	5	]	]	PUNCT
ap-7672	176	6	=	=	PUNCT
ap-7672	176	7	21hν	21hν	NOUN
ap-7672	176	8	,	,	PUNCT
ap-7672	176	9	(	(	PUNCT
ap-7672	176	10	33	33	NUM
ap-7672	176	11	)	)	PUNCT
ap-7672	176	12	where	where	SCONJ
ap-7672	176	13	1hν	1hν	NOUN
ap-7672	176	14	is	be	AUX
ap-7672	176	15	the	the	DET
ap-7672	176	16	identity	identity	NOUN
ap-7672	176	17	in	in	ADP
ap-7672	176	18	the	the	DET
ap-7672	176	19	subspace	subspace	NOUN
ap-7672	176	20	hν	hν	NOUN
ap-7672	176	21	.	.	PUNCT
ap-7672	177	1	therefore	therefore	ADV
ap-7672	177	2	,	,	PUNCT
ap-7672	177	3	on	on	ADP
ap-7672	177	4	both	both	DET
ap-7672	177	5	hilbert	hilbert	NOUN
ap-7672	177	6	subspaces	subspace	NOUN
ap-7672	177	7	,	,	PUNCT
ap-7672	177	8	the	the	DET
ap-7672	177	9	action	action	NOUN
ap-7672	177	10	of	of	ADP
ap-7672	177	11	the	the	DET
ap-7672	177	12	linearised	linearise	VERB
ap-7672	177	13	ladder	ladder	NOUN
ap-7672	177	14	operators	operator	NOUN
ap-7672	177	15	is	be	AUX
ap-7672	177	16	l−ν	l−ν	PRON
ap-7672	177	17	ψ̃ν+2n	ψ̃ν+2n	NOUN
ap-7672	177	18	=	=	NOUN
ap-7672	177	19	√	√	NOUN
ap-7672	177	20	2nψ̃ν+2(n−1	2nψ̃ν+2(n−1	NUM
ap-7672	177	21	)	)	PUNCT
ap-7672	177	22	,	,	PUNCT
ap-7672	177	23	l+ν	l+ν	PROPN
ap-7672	177	24	ψ̃ν+2n	ψ̃ν+2n	VERB
ap-7672	177	25	=	=	PUNCT
ap-7672	178	1	√	√	PROPN
ap-7672	178	2	2(n+	2(n+	NUM
ap-7672	178	3	1)ψ̃ν+2(n+1	1)ψ̃ν+2(n+1	NUM
ap-7672	178	4	)	)	PUNCT
ap-7672	179	1	,	,	PUNCT
ap-7672	179	2	(	(	PUNCT
ap-7672	179	3	34	34	NUM
ap-7672	179	4	)	)	PUNCT
ap-7672	179	5	where	where	SCONJ
ap-7672	179	6	n	n	NOUN
ap-7672	179	7	=	=	SYM
ap-7672	179	8	0	0	NUM
ap-7672	179	9	,	,	PUNCT
ap-7672	179	10	1	1	NUM
ap-7672	179	11	,	,	PUNCT
ap-7672	179	12	2	2	NUM
ap-7672	179	13	,	,	PUNCT
ap-7672	179	14	.	.	PUNCT
ap-7672	179	15	.	.	PUNCT
ap-7672	179	16	.	.	PUNCT
ap-7672	180	1	at	at	ADP
ap-7672	180	2	this	this	DET
ap-7672	180	3	stage	stage	NOUN
ap-7672	180	4	,	,	PUNCT
ap-7672	180	5	we	we	PRON
ap-7672	180	6	can	can	AUX
ap-7672	180	7	define	define	VERB
ap-7672	180	8	the	the	DET
ap-7672	180	9	linearised	linearise	VERB
ap-7672	180	10	coherent	coherent	ADJ
ap-7672	180	11	states	state	NOUN
ap-7672	180	12	as	as	ADP
ap-7672	180	13	eigenstates	eigenstate	NOUN
ap-7672	180	14	of	of	ADP
ap-7672	180	15	the	the	DET
ap-7672	180	16	linear	linear	PROPN
ap-7672	180	17	annihilation	annihilation	NOUN
ap-7672	180	18	operator	operator	NOUN
ap-7672	180	19	,	,	PUNCT
ap-7672	180	20	l−ν	l−ν	ADV
ap-7672	180	21	|zν⟩	|zν⟩	NOUN
ap-7672	180	22	=	=	SYM
ap-7672	180	23	z	z	NOUN
ap-7672	180	24	|zν⟩	|zν⟩	NOUN
ap-7672	180	25	,	,	PUNCT
ap-7672	180	26	ν	ν	X
ap-7672	180	27	=	=	SYM
ap-7672	180	28	0	0	NUM
ap-7672	180	29	,	,	PUNCT
ap-7672	180	30	3	3	NUM
ap-7672	180	31	,	,	PUNCT
ap-7672	180	32	(	(	PUNCT
ap-7672	180	33	35	35	NUM
ap-7672	180	34	)	)	PUNCT
ap-7672	180	35	where	where	SCONJ
ap-7672	180	36	z	z	PROPN
ap-7672	180	37	∈	∈	PROPN
ap-7672	180	38	c.	c.	NOUN
ap-7672	180	39	we	we	PRON
ap-7672	180	40	can	can	AUX
ap-7672	180	41	make	make	VERB
ap-7672	180	42	the	the	DET
ap-7672	180	43	expansion	expansion	NOUN
ap-7672	180	44	|zν⟩	|zν⟩	VERB
ap-7672	180	45	=	=	PUNCT
ap-7672	181	1	∞∑	∞∑	PROPN
ap-7672	181	2	n=0	n=0	NUM
ap-7672	181	3	cn	cn	X
ap-7672	181	4	|ν	|ν	NOUN
ap-7672	182	1	+	+	CCONJ
ap-7672	182	2	2n⟩	2n⟩	NUM
ap-7672	182	3	,	,	PUNCT
ap-7672	182	4	(	(	PUNCT
ap-7672	182	5	36	36	NUM
ap-7672	182	6	)	)	PUNCT
ap-7672	183	1	where	where	SCONJ
ap-7672	183	2	ψ̃ν+2n(x	ψ̃ν+2n(x	X
ap-7672	183	3	)	)	PUNCT
ap-7672	183	4	=	=	SYM
ap-7672	184	1	⟨x|ν	⟨x|ν	PROPN
ap-7672	184	2	+	+	NOUN
ap-7672	184	3	2n⟩	2n⟩	NUM
ap-7672	184	4	are	be	AUX
ap-7672	184	5	the	the	DET
ap-7672	184	6	eigenfunctions	eigenfunction	NOUN
ap-7672	184	7	of	of	ADP
ap-7672	184	8	the	the	DET
ap-7672	184	9	susy	susy	NOUN
ap-7672	184	10	hamiltonian	hamiltonian	NOUN
ap-7672	184	11	,	,	PUNCT
ap-7672	184	12	and	and	CCONJ
ap-7672	184	13	following	follow	VERB
ap-7672	184	14	the	the	DET
ap-7672	184	15	definition	definition	NOUN
ap-7672	184	16	(	(	PUNCT
ap-7672	184	17	35	35	NUM
ap-7672	184	18	)	)	PUNCT
ap-7672	184	19	,	,	PUNCT
ap-7672	184	20	we	we	PRON
ap-7672	184	21	find	find	VERB
ap-7672	184	22	that	that	SCONJ
ap-7672	184	23	the	the	DET
ap-7672	184	24	explicit	explicit	ADJ
ap-7672	184	25	form	form	NOUN
ap-7672	184	26	of	of	ADP
ap-7672	184	27	the	the	DET
ap-7672	184	28	normalised	normalise	VERB
ap-7672	184	29	coherent	coherent	ADJ
ap-7672	184	30	states	state	NOUN
ap-7672	184	31	is	be	AUX
ap-7672	184	32	|zν⟩	|zν⟩	NOUN
ap-7672	184	33	=	=	PUNCT
ap-7672	184	34	e−	e−	NUM
ap-7672	184	35	|z|2	|z|2	NOUN
ap-7672	184	36	4	4	NUM
ap-7672	184	37	∞∑	∞∑	NUM
ap-7672	184	38	n=0	n=0	NUM
ap-7672	184	39	(	(	PUNCT
ap-7672	184	40	z/	z/	NOUN
ap-7672	185	1	√	√	NUM
ap-7672	185	2	2)n	2)n	NUM
ap-7672	185	3	√	√	NUM
ap-7672	185	4	n	n	CCONJ
ap-7672	185	5	!	!	PUNCT
ap-7672	185	6	|ν	|ν	NOUN
ap-7672	186	1	+	+	NOUN
ap-7672	186	2	2n⟩	2n⟩	NUM
ap-7672	186	3	.	.	PUNCT
ap-7672	187	1	(	(	PUNCT
ap-7672	187	2	37	37	NUM
ap-7672	187	3	)	)	PUNCT
ap-7672	187	4	notice	notice	VERB
ap-7672	187	5	that	that	SCONJ
ap-7672	187	6	we	we	PRON
ap-7672	187	7	obtained	obtain	VERB
ap-7672	187	8	a	a	DET
ap-7672	187	9	similar	similar	ADJ
ap-7672	187	10	expression	expression	NOUN
ap-7672	187	11	of	of	ADP
ap-7672	187	12	the	the	DET
ap-7672	187	13	standard	standard	ADJ
ap-7672	187	14	coherent	coherent	ADJ
ap-7672	187	15	states	state	NOUN
ap-7672	187	16	but	but	CCONJ
ap-7672	187	17	with	with	ADP
ap-7672	187	18	the	the	DET
ap-7672	187	19	relevant	relevant	ADJ
ap-7672	187	20	difference	difference	NOUN
ap-7672	187	21	that	that	PRON
ap-7672	187	22	the	the	DET
ap-7672	187	23	expansion	expansion	NOUN
ap-7672	187	24	is	be	AUX
ap-7672	187	25	in	in	ADP
ap-7672	187	26	terms	term	NOUN
ap-7672	187	27	of	of	ADP
ap-7672	187	28	eigenfunctions	eigenfunction	NOUN
ap-7672	187	29	of	of	ADP
ap-7672	187	30	the	the	DET
ap-7672	187	31	supersymmetric	supersymmetric	PROPN
ap-7672	187	32	partner	partner	NOUN
ap-7672	187	33	hamiltonian	hamiltonian	NOUN
ap-7672	187	34	h̃	h̃	PROPN
ap-7672	187	35	in	in	ADP
ap-7672	187	36	the	the	DET
ap-7672	187	37	subspace	subspace	NOUN
ap-7672	187	38	ν	ν	PROPN
ap-7672	187	39	.	.	PROPN
ap-7672	187	40	4.1	4.1	NUM
ap-7672	187	41	.	.	PUNCT
ap-7672	188	1	completeness	completeness	NOUN
ap-7672	188	2	relation	relation	PROPN
ap-7672	188	3	an	an	DET
ap-7672	188	4	important	important	ADJ
ap-7672	188	5	property	property	NOUN
ap-7672	188	6	that	that	PRON
ap-7672	188	7	the	the	DET
ap-7672	188	8	constructed	construct	VERB
ap-7672	188	9	coherent	coherent	ADJ
ap-7672	188	10	states	state	NOUN
ap-7672	188	11	fulfill	fulfill	NOUN
ap-7672	188	12	is	be	AUX
ap-7672	188	13	that	that	SCONJ
ap-7672	188	14	they	they	PRON
ap-7672	188	15	form	form	VERB
ap-7672	188	16	an	an	DET
ap-7672	188	17	over	over	ADV
ap-7672	188	18	-	-	PUNCT
ap-7672	188	19	complete	complete	NOUN
ap-7672	188	20	set	set	NOUN
ap-7672	188	21	on	on	ADP
ap-7672	188	22	hilbert	hilbert	NOUN
ap-7672	188	23	subspaces	subspace	NOUN
ap-7672	188	24	,	,	PUNCT
ap-7672	188	25	i.e.	i.e.	X
ap-7672	188	26	,	,	PUNCT
ap-7672	188	27	they	they	PRON
ap-7672	188	28	solve	solve	VERB
ap-7672	188	29	an	an	DET
ap-7672	188	30	identity	identity	NOUN
ap-7672	188	31	expression	expression	NOUN
ap-7672	188	32	[	[	X
ap-7672	188	33	25	25	NUM
ap-7672	188	34	]	]	SYM
ap-7672	188	35	1	1	NUM
ap-7672	188	36	2π	2π	NUM
ap-7672	188	37	∫	∫	INTJ
ap-7672	188	38	c	c	NOUN
ap-7672	188	39	|zν⟩	|zν⟩	PROPN
ap-7672	188	40	⟨zν	⟨zν	PROPN
ap-7672	188	41	|	|	ADV
ap-7672	188	42	d2z	d2z	X
ap-7672	188	43	=	=	SYM
ap-7672	188	44	1hν	1hν	ADJ
ap-7672	188	45	.	.	PUNCT
ap-7672	189	1	(	(	PUNCT
ap-7672	189	2	38	38	NUM
ap-7672	189	3	)	)	PUNCT
ap-7672	189	4	4.2	4.2	NUM
ap-7672	189	5	.	.	PUNCT
ap-7672	190	1	mean	mean	ADJ
ap-7672	190	2	-	-	PUNCT
ap-7672	190	3	energy	energy	NOUN
ap-7672	190	4	values	value	NOUN
ap-7672	190	5	the	the	DET
ap-7672	190	6	eigenvalue	eigenvalue	ADJ
ap-7672	190	7	equation	equation	NOUN
ap-7672	190	8	of	of	ADP
ap-7672	190	9	the	the	DET
ap-7672	190	10	hamiltonian	hamiltonian	NOUN
ap-7672	190	11	h̃	h̃	PROPN
ap-7672	190	12	is	be	AUX
ap-7672	190	13	given	give	VERB
ap-7672	190	14	by	by	ADP
ap-7672	190	15	h̃	h̃	PROPN
ap-7672	190	16	|ν	|ν	NOUN
ap-7672	191	1	+	+	CCONJ
ap-7672	191	2	2n⟩	2n⟩	NUM
ap-7672	191	3	=	=	SYM
ap-7672	191	4	(	(	PUNCT
ap-7672	191	5	ν	ν	X
ap-7672	191	6	+	+	NOUN
ap-7672	191	7	1	1	NUM
ap-7672	191	8	2	2	NUM
ap-7672	191	9	+	+	NUM
ap-7672	191	10	2n	2n	NUM
ap-7672	191	11	)	)	PUNCT
ap-7672	191	12	|ν	|ν	NOUN
ap-7672	192	1	+	+	NOUN
ap-7672	192	2	2n⟩	2n⟩	NUM
ap-7672	192	3	,	,	PUNCT
ap-7672	192	4	(	(	PUNCT
ap-7672	192	5	39	39	NUM
ap-7672	192	6	)	)	PUNCT
ap-7672	192	7	which	which	PRON
ap-7672	192	8	leads	lead	VERB
ap-7672	192	9	to	to	ADP
ap-7672	192	10	the	the	DET
ap-7672	192	11	energy	energy	NOUN
ap-7672	192	12	expectation	expectation	NOUN
ap-7672	192	13	⟨zν	⟨zν	PROPN
ap-7672	192	14	|	|	ADV
ap-7672	192	15	h̃	h̃	PROPN
ap-7672	192	16	|zν⟩	|zν⟩	VERB
ap-7672	192	17	=	=	SYM
ap-7672	192	18	ν	ν	NOUN
ap-7672	192	19	+	+	NOUN
ap-7672	192	20	1	1	NUM
ap-7672	192	21	2	2	NUM
ap-7672	192	22	+	+	NUM
ap-7672	192	23	|z|2	|z|2	PROPN
ap-7672	192	24	.	.	PUNCT
ap-7672	193	1	(	(	PUNCT
ap-7672	193	2	40	40	NUM
ap-7672	193	3	)	)	PUNCT
ap-7672	193	4	we	we	PRON
ap-7672	193	5	observe	observe	VERB
ap-7672	193	6	that	that	SCONJ
ap-7672	193	7	we	we	PRON
ap-7672	193	8	obtain	obtain	VERB
ap-7672	193	9	the	the	DET
ap-7672	193	10	well	well	ADV
ap-7672	193	11	-	-	PUNCT
ap-7672	193	12	known	know	VERB
ap-7672	193	13	quantity	quantity	NOUN
ap-7672	193	14	of	of	ADP
ap-7672	193	15	energy	energy	NOUN
ap-7672	193	16	-	-	PUNCT
ap-7672	193	17	growth	growth	NOUN
ap-7672	193	18	corresponding	correspond	VERB
ap-7672	193	19	to	to	ADP
ap-7672	193	20	the	the	DET
ap-7672	193	21	oscillator	oscillator	NOUN
ap-7672	193	22	coherent	coherent	ADJ
ap-7672	193	23	states	state	NOUN
ap-7672	193	24	,	,	PUNCT
ap-7672	193	25	this	this	DET
ap-7672	193	26	result	result	NOUN
ap-7672	193	27	is	be	AUX
ap-7672	193	28	another	another	DET
ap-7672	193	29	direct	direct	ADJ
ap-7672	193	30	consequence	consequence	NOUN
ap-7672	193	31	of	of	ADP
ap-7672	193	32	the	the	DET
ap-7672	193	33	linear	linear	PROPN
ap-7672	193	34	commutation	commutation	NOUN
ap-7672	193	35	relation	relation	NOUN
ap-7672	193	36	between	between	ADP
ap-7672	193	37	the	the	DET
ap-7672	193	38	linearised	linearise	VERB
ap-7672	193	39	ladder	ladder	NOUN
ap-7672	193	40	operators	operator	NOUN
ap-7672	193	41	.	.	PUNCT
ap-7672	194	1	4.3	4.3	NUM
ap-7672	194	2	.	.	PUNCT
ap-7672	194	3	temporal	temporal	ADJ
ap-7672	194	4	stability	stability	NOUN
ap-7672	194	5	another	another	DET
ap-7672	194	6	relevant	relevant	ADJ
ap-7672	194	7	property	property	NOUN
ap-7672	194	8	of	of	ADP
ap-7672	194	9	the	the	DET
ap-7672	194	10	coherent	coherent	ADJ
ap-7672	194	11	states	state	NOUN
ap-7672	194	12	is	be	AUX
ap-7672	194	13	that	that	SCONJ
ap-7672	194	14	they	they	PRON
ap-7672	194	15	must	must	AUX
ap-7672	194	16	remain	remain	VERB
ap-7672	194	17	coherent	coherent	ADJ
ap-7672	194	18	as	as	SCONJ
ap-7672	194	19	they	they	PRON
ap-7672	194	20	evolve	evolve	VERB
ap-7672	194	21	in	in	ADP
ap-7672	194	22	time	time	NOUN
ap-7672	194	23	.	.	PUNCT
ap-7672	195	1	by	by	ADP
ap-7672	195	2	applying	apply	VERB
ap-7672	195	3	the	the	DET
ap-7672	195	4	time	time	NOUN
ap-7672	195	5	evolution	evolution	NOUN
ap-7672	195	6	operator	operator	NOUN
ap-7672	195	7	u(t	u(t	NOUN
ap-7672	195	8	)	)	PUNCT
ap-7672	195	9	,	,	PUNCT
ap-7672	195	10	we	we	PRON
ap-7672	195	11	obtain	obtain	VERB
ap-7672	195	12	u(t	u(t	NOUN
ap-7672	195	13	)	)	PUNCT
ap-7672	195	14	|zν⟩	|zν⟩	NOUN
ap-7672	195	15	=	=	PUNCT
ap-7672	195	16	e−i(ν+	e−i(ν+	VERB
ap-7672	195	17	1	1	NUM
ap-7672	195	18	2	2	NUM
ap-7672	195	19	)	)	PUNCT
ap-7672	195	20	t	t	NOUN
ap-7672	195	21	|zν(t)⟩	|zν(t)⟩	NUM
ap-7672	195	22	,	,	PUNCT
ap-7672	195	23	i.e.	i.e.	X
ap-7672	195	24	,	,	PUNCT
ap-7672	195	25	our	our	PRON
ap-7672	195	26	linearised	linearise	VERB
ap-7672	195	27	coherent	coherent	ADJ
ap-7672	195	28	states	state	NOUN
ap-7672	195	29	fulfill	fulfill	VERB
ap-7672	195	30	this	this	DET
ap-7672	195	31	condition	condition	NOUN
ap-7672	195	32	.	.	PUNCT
ap-7672	196	1	the	the	DET
ap-7672	196	2	period	period	NOUN
ap-7672	196	3	of	of	ADP
ap-7672	196	4	evolution	evolution	NOUN
ap-7672	196	5	of	of	ADP
ap-7672	196	6	these	these	DET
ap-7672	196	7	states	state	NOUN
ap-7672	196	8	is	be	AUX
ap-7672	196	9	τ	τ	PROPN
ap-7672	196	10	=	=	SYM
ap-7672	196	11	π	π	PROPN
ap-7672	196	12	,	,	PUNCT
ap-7672	196	13	the	the	DET
ap-7672	196	14	half	half	NOUN
ap-7672	196	15	of	of	ADP
ap-7672	196	16	the	the	DET
ap-7672	196	17	harmonic	harmonic	ADJ
ap-7672	196	18	oscillator	oscillator	NOUN
ap-7672	196	19	coherent	coherent	ADJ
ap-7672	196	20	states	state	NOUN
ap-7672	196	21	(	(	PUNCT
ap-7672	196	22	t	t	NOUN
ap-7672	196	23	=	=	PUNCT
ap-7672	196	24	2π	2π	NOUN
ap-7672	196	25	)	)	PUNCT
ap-7672	196	26	.	.	PUNCT
ap-7672	197	1	this	this	PRON
ap-7672	197	2	means	mean	VERB
ap-7672	197	3	that	that	SCONJ
ap-7672	197	4	in	in	ADP
ap-7672	197	5	the	the	DET
ap-7672	197	6	phase	phase	NOUN
ap-7672	197	7	-	-	PUNCT
ap-7672	197	8	space	space	NOUN
ap-7672	197	9	,	,	PUNCT
ap-7672	197	10	our	our	PRON
ap-7672	197	11	states	state	NOUN
ap-7672	197	12	need	need	VERB
ap-7672	197	13	just	just	ADV
ap-7672	197	14	the	the	DET
ap-7672	197	15	half	half	NOUN
ap-7672	197	16	of	of	ADP
ap-7672	197	17	the	the	DET
ap-7672	197	18	time	time	NOUN
ap-7672	197	19	to	to	PART
ap-7672	197	20	return	return	VERB
ap-7672	197	21	to	to	ADP
ap-7672	197	22	the	the	DET
ap-7672	197	23	same	same	ADJ
ap-7672	197	24	point	point	NOUN
ap-7672	197	25	with	with	ADP
ap-7672	197	26	an	an	DET
ap-7672	197	27	acquired	acquire	VERB
ap-7672	197	28	phase	phase	NOUN
ap-7672	197	29	.	.	PUNCT
ap-7672	198	1	this	this	PRON
ap-7672	198	2	represents	represent	VERB
ap-7672	198	3	a	a	DET
ap-7672	198	4	first	first	ADJ
ap-7672	198	5	clear	clear	ADJ
ap-7672	198	6	indication	indication	NOUN
ap-7672	198	7	of	of	ADP
ap-7672	198	8	non	non	ADJ
ap-7672	198	9	-	-	ADJ
ap-7672	198	10	classical	classical	ADJ
ap-7672	198	11	behaviour	behaviour	NOUN
ap-7672	198	12	.	.	PUNCT
ap-7672	199	1	4.4	4.4	NUM
ap-7672	199	2	.	.	PUNCT
ap-7672	200	1	evolution	evolution	NOUN
ap-7672	200	2	of	of	ADP
ap-7672	200	3	the	the	DET
ap-7672	200	4	probability	probability	NOUN
ap-7672	200	5	densities	density	NOUN
ap-7672	200	6	let	let	VERB
ap-7672	200	7	us	we	PRON
ap-7672	200	8	analyse	analyse	VERB
ap-7672	200	9	the	the	DET
ap-7672	200	10	time	time	NOUN
ap-7672	200	11	evolution	evolution	NOUN
ap-7672	200	12	of	of	ADP
ap-7672	200	13	the	the	DET
ap-7672	200	14	probability	probability	NOUN
ap-7672	200	15	densities	density	NOUN
ap-7672	200	16	.	.	PUNCT
ap-7672	201	1	for	for	ADP
ap-7672	201	2	the	the	DET
ap-7672	201	3	classical	classical	ADJ
ap-7672	201	4	coherent	coherent	ADJ
ap-7672	201	5	states	state	NOUN
ap-7672	201	6	,	,	PUNCT
ap-7672	201	7	this	this	DET
ap-7672	201	8	quantity	quantity	NOUN
ap-7672	201	9	is	be	AUX
ap-7672	201	10	represented	represent	VERB
ap-7672	201	11	by	by	ADP
ap-7672	201	12	a	a	DET
ap-7672	201	13	gaussian	gaussian	ADJ
ap-7672	201	14	wave	wave	NOUN
ap-7672	201	15	packet	packet	NOUN
ap-7672	201	16	oscillating	oscillate	VERB
ap-7672	201	17	around	around	ADP
ap-7672	201	18	the	the	DET
ap-7672	201	19	minimum	minimum	NOUN
ap-7672	201	20	of	of	ADP
ap-7672	201	21	the	the	DET
ap-7672	201	22	potential	potential	NOUN
ap-7672	201	23	.	.	PUNCT
ap-7672	202	1	in	in	ADP
ap-7672	202	2	our	our	PRON
ap-7672	202	3	case	case	NOUN
ap-7672	202	4	,	,	PUNCT
ap-7672	202	5	we	we	PRON
ap-7672	202	6	have	have	VERB
ap-7672	202	7	:	:	PUNCT
ap-7672	202	8	ρz(z	ρz(z	NUM
ap-7672	202	9	,	,	PUNCT
ap-7672	202	10	x	x	X
ap-7672	202	11	,	,	PUNCT
ap-7672	202	12	t	t	PROPN
ap-7672	202	13	)	)	PUNCT
ap-7672	202	14	=	=	SYM
ap-7672	202	15	|⟨x|u(t	|⟨x|u(t	NUM
ap-7672	202	16	)	)	PUNCT
ap-7672	202	17	|zν⟩|2	|zν⟩|2	NOUN
ap-7672	203	1	=	=	SYM
ap-7672	203	2	|	|	ADV
ap-7672	203	3	∞∑	∞∑	NUM
ap-7672	203	4	n=0	n=0	PUNCT
ap-7672	203	5	e−	e−	PROPN
ap-7672	203	6	|z|2	|z|2	NOUN
ap-7672	203	7	4	4	NUM
ap-7672	203	8	(	(	PUNCT
ap-7672	203	9	ze−i2t/	ze−i2t/	NUM
ap-7672	203	10	√	√	NUM
ap-7672	203	11	2)n	2)n	NUM
ap-7672	203	12	√	√	NUM
ap-7672	203	13	n	n	NUM
ap-7672	203	14	!	!	PUNCT
ap-7672	203	15	ψ̃ν+2n(x)|2	ψ̃ν+2n(x)|2	PROPN
ap-7672	203	16	.	.	PUNCT
ap-7672	204	1	(	(	PUNCT
ap-7672	204	2	41	41	NUM
ap-7672	204	3	)	)	PUNCT
ap-7672	204	4	in	in	ADP
ap-7672	204	5	the	the	DET
ap-7672	204	6	figure	figure	NOUN
ap-7672	204	7	3	3	NUM
ap-7672	204	8	,	,	PUNCT
ap-7672	204	9	we	we	PRON
ap-7672	204	10	plot	plot	VERB
ap-7672	204	11	this	this	DET
ap-7672	204	12	evolution	evolution	NOUN
ap-7672	204	13	.	.	PUNCT
ap-7672	205	1	we	we	PRON
ap-7672	205	2	observe	observe	VERB
ap-7672	205	3	that	that	SCONJ
ap-7672	205	4	each	each	DET
ap-7672	205	5	coherent	coherent	ADJ
ap-7672	205	6	state	state	NOUN
ap-7672	205	7	is	be	AUX
ap-7672	205	8	composed	compose	VERB
ap-7672	205	9	by	by	ADP
ap-7672	205	10	two	two	NUM
ap-7672	205	11	wavepackets	wavepacket	NOUN
ap-7672	205	12	with	with	ADP
ap-7672	205	13	a	a	DET
ap-7672	205	14	back	back	VERB
ap-7672	205	15	-	-	PUNCT
ap-7672	205	16	and	and	CCONJ
ap-7672	205	17	-	-	PUNCT
ap-7672	205	18	forth	forth	NOUN
ap-7672	205	19	motion	motion	NOUN
ap-7672	205	20	resembling	resemble	VERB
ap-7672	205	21	a	a	DET
ap-7672	205	22	semi	semi	ADJ
ap-7672	205	23	-	-	ADJ
ap-7672	205	24	classical	classical	ADJ
ap-7672	205	25	behaviour	behaviour	NOUN
ap-7672	205	26	,	,	PUNCT
ap-7672	205	27	since	since	SCONJ
ap-7672	205	28	each	each	DET
ap-7672	205	29	wavepacket	wavepacket	NOUN
ap-7672	205	30	looks	look	VERB
ap-7672	205	31	like	like	ADP
ap-7672	205	32	a	a	DET
ap-7672	205	33	harmonic	harmonic	ADJ
ap-7672	205	34	-	-	PUNCT
ap-7672	205	35	oscillator	oscillator	NOUN
ap-7672	205	36	coherent	coherent	ADJ
ap-7672	205	37	state	state	NOUN
ap-7672	205	38	.	.	PUNCT
ap-7672	206	1	the	the	DET
ap-7672	206	2	two	two	NUM
ap-7672	206	3	wavepackets	wavepacket	NOUN
ap-7672	206	4	interfere	interfere	VERB
ap-7672	206	5	with	with	ADP
ap-7672	206	6	each	each	DET
ap-7672	206	7	other	other	ADJ
ap-7672	206	8	,	,	PUNCT
ap-7672	206	9	and	and	CCONJ
ap-7672	206	10	it	it	PRON
ap-7672	206	11	is	be	AUX
ap-7672	206	12	more	more	ADV
ap-7672	206	13	noticeable	noticeable	ADJ
ap-7672	206	14	when	when	SCONJ
ap-7672	206	15	they	they	PRON
ap-7672	206	16	collide	collide	VERB
ap-7672	206	17	around	around	ADV
ap-7672	206	18	x	x	PUNCT
ap-7672	207	1	=	=	NOUN
ap-7672	207	2	0	0	NUM
ap-7672	207	3	.	.	PUNCT
ap-7672	208	1	a	a	DET
ap-7672	208	2	parity	parity	NOUN
ap-7672	208	3	symmetry	symmetry	NOUN
ap-7672	208	4	x	x	INTJ
ap-7672	208	5	→	→	SYM
ap-7672	208	6	−x	−x	NOUN
ap-7672	208	7	,	,	PUNCT
ap-7672	208	8	is	be	AUX
ap-7672	208	9	only	only	ADV
ap-7672	208	10	apparent	apparent	ADJ
ap-7672	208	11	and	and	CCONJ
ap-7672	208	12	can	can	AUX
ap-7672	208	13	not	not	PART
ap-7672	208	14	be	be	AUX
ap-7672	208	15	guaranteed	guarantee	VERB
ap-7672	208	16	for	for	ADP
ap-7672	208	17	the	the	DET
ap-7672	208	18	susy	susy	NOUN
ap-7672	208	19	extensions	extension	NOUN
ap-7672	208	20	since	since	SCONJ
ap-7672	208	21	the	the	DET
ap-7672	208	22	potential	potential	ADJ
ap-7672	208	23	ṽ	ṽ	PROPN
ap-7672	208	24	is	be	AUX
ap-7672	208	25	only	only	ADV
ap-7672	208	26	symmetric	symmetric	ADJ
ap-7672	208	27	around	around	ADP
ap-7672	208	28	x	x	PUNCT
ap-7672	209	1	=	=	NOUN
ap-7672	209	2	0	0	NUM
ap-7672	210	1	when	when	SCONJ
ap-7672	210	2	the	the	DET
ap-7672	210	3	parameter	parameter	NOUN
ap-7672	210	4	γ	γ	X
ap-7672	210	5	=	=	SYM
ap-7672	210	6	0	0	NUM
ap-7672	210	7	in	in	ADP
ap-7672	210	8	the	the	DET
ap-7672	210	9	seed	seed	NOUN
ap-7672	210	10	function	function	NOUN
ap-7672	210	11	u	u	NOUN
ap-7672	210	12	(	(	PUNCT
ap-7672	210	13	2	2	NUM
ap-7672	210	14	)	)	PUNCT
ap-7672	210	15	2	2	NUM
ap-7672	210	16	.	.	PUNCT
ap-7672	210	17	4.5	4.5	NUM
ap-7672	210	18	.	.	PUNCT
ap-7672	211	1	wigner	wigner	NOUN
ap-7672	211	2	distributions	distribution	NOUN
ap-7672	211	3	an	an	DET
ap-7672	211	4	efficient	efficient	ADJ
ap-7672	211	5	tool	tool	NOUN
ap-7672	211	6	to	to	PART
ap-7672	211	7	determine	determine	VERB
ap-7672	211	8	the	the	DET
ap-7672	211	9	nature	nature	NOUN
ap-7672	211	10	of	of	ADP
ap-7672	211	11	quantum	quantum	NOUN
ap-7672	211	12	wave	wave	NOUN
ap-7672	211	13	functions	function	NOUN
ap-7672	211	14	is	be	AUX
ap-7672	211	15	the	the	DET
ap-7672	211	16	wigner	wigner	ADJ
ap-7672	211	17	quasiprobability	quasiprobability	NOUN
ap-7672	211	18	distribution	distribution	NOUN
ap-7672	211	19	in	in	ADP
ap-7672	211	20	the	the	DET
ap-7672	211	21	phase	phase	NOUN
ap-7672	211	22	space	space	NOUN
ap-7672	211	23	,	,	PUNCT
ap-7672	211	24	defined	define	VERB
ap-7672	211	25	by	by	ADP
ap-7672	211	26	w	w	PROPN
ap-7672	211	27	(	(	PUNCT
ap-7672	211	28	x	x	NOUN
ap-7672	211	29	,	,	PUNCT
ap-7672	211	30	p	p	ADJ
ap-7672	211	31	)	)	PUNCT
ap-7672	211	32	≡	≡	PROPN
ap-7672	211	33	1	1	NUM
ap-7672	211	34	2π	2π	NUM
ap-7672	211	35	∫	∫	X
ap-7672	211	36	∞	∞	PROPN
ap-7672	211	37	−∞	−∞	ADP
ap-7672	211	38	ψ∗	ψ∗	PROPN
ap-7672	211	39	(	(	PUNCT
ap-7672	211	40	x−	x−	PROPN
ap-7672	211	41	y	y	PROPN
ap-7672	211	42	2	2	NUM
ap-7672	211	43	)	)	PUNCT
ap-7672	211	44	ψ	ψ	X
ap-7672	211	45	(	(	PUNCT
ap-7672	211	46	x+	x+	X
ap-7672	211	47	y	y	PROPN
ap-7672	211	48	2	2	NUM
ap-7672	211	49	)	)	PUNCT
ap-7672	211	50	eipydy	eipydy	NOUN
ap-7672	211	51	.	.	PUNCT
ap-7672	212	1	(	(	PUNCT
ap-7672	212	2	42	42	NUM
ap-7672	212	3	)	)	PUNCT
ap-7672	212	4	in	in	ADP
ap-7672	212	5	figure	figure	NOUN
ap-7672	212	6	4	4	NUM
ap-7672	212	7	,	,	PUNCT
ap-7672	212	8	we	we	PRON
ap-7672	212	9	show	show	VERB
ap-7672	212	10	the	the	DET
ap-7672	212	11	corresponding	corresponding	ADJ
ap-7672	212	12	wigner	wigner	NOUN
ap-7672	212	13	functions	function	NOUN
ap-7672	212	14	of	of	ADP
ap-7672	212	15	coherent	coherent	ADJ
ap-7672	212	16	states	state	NOUN
ap-7672	212	17	for	for	ADP
ap-7672	212	18	both	both	DET
ap-7672	212	19	subspaces	subspace	NOUN
ap-7672	212	20	.	.	PUNCT
ap-7672	213	1	we	we	PRON
ap-7672	213	2	observe	observe	VERB
ap-7672	213	3	that	that	SCONJ
ap-7672	213	4	the	the	DET
ap-7672	213	5	distributions	distribution	NOUN
ap-7672	213	6	possess	possess	VERB
ap-7672	213	7	regions	region	NOUN
ap-7672	213	8	with	with	ADP
ap-7672	213	9	non	non	ADJ
ap-7672	213	10	-	-	ADJ
ap-7672	213	11	positive	positive	ADJ
ap-7672	213	12	values	value	NOUN
ap-7672	213	13	,	,	PUNCT
ap-7672	213	14	which	which	PRON
ap-7672	213	15	is	be	AUX
ap-7672	213	16	a	a	DET
ap-7672	213	17	clear	clear	ADJ
ap-7672	213	18	indication	indication	NOUN
ap-7672	213	19	of	of	ADP
ap-7672	213	20	the	the	DET
ap-7672	213	21	non	non	ADJ
ap-7672	213	22	-	-	ADJ
ap-7672	213	23	classical	classical	ADJ
ap-7672	213	24	behaviour	behaviour	NOUN
ap-7672	213	25	or	or	CCONJ
ap-7672	213	26	pure	pure	ADJ
ap-7672	213	27	quantum	quantum	ADJ
ap-7672	213	28	nature	nature	NOUN
ap-7672	213	29	of	of	ADP
ap-7672	213	30	our	our	PRON
ap-7672	213	31	linearised	linearise	VERB
ap-7672	213	32	coherent	coherent	ADJ
ap-7672	213	33	states	state	NOUN
ap-7672	213	34	.	.	PUNCT
ap-7672	214	1	34	34	NUM
ap-7672	214	2	vol	vol	NOUN
ap-7672	214	3	.	.	PUNCT
ap-7672	215	1	62	62	NUM
ap-7672	215	2	no	no	INTJ
ap-7672	215	3	.	.	PUNCT
ap-7672	216	1	1/2022	1/2022	NUM
ap-7672	216	2	linearised	linearise	VERB
ap-7672	216	3	cs	cs	PROPN
ap-7672	216	4	for	for	ADP
ap-7672	216	5	non	non	ADJ
ap-7672	216	6	-	-	ADJ
ap-7672	216	7	rational	rational	ADJ
ap-7672	216	8	susy	susy	NOUN
ap-7672	216	9	extensions	extension	NOUN
ap-7672	216	10	of	of	ADP
ap-7672	216	11	the	the	DET
ap-7672	216	12	ho	ho	PROPN
ap-7672	216	13	figure	figure	NOUN
ap-7672	216	14	3	3	NUM
ap-7672	216	15	.	.	NOUN
ap-7672	216	16	time	time	NOUN
ap-7672	216	17	evolution	evolution	NOUN
ap-7672	216	18	of	of	ADP
ap-7672	216	19	the	the	DET
ap-7672	216	20	probability	probability	NOUN
ap-7672	216	21	densities	density	NOUN
ap-7672	216	22	(	(	PUNCT
ap-7672	216	23	41	41	NUM
ap-7672	216	24	)	)	PUNCT
ap-7672	216	25	of	of	ADP
ap-7672	216	26	the	the	DET
ap-7672	216	27	linearised	linearise	VERB
ap-7672	216	28	coherent	coherent	ADJ
ap-7672	216	29	states	state	NOUN
ap-7672	216	30	(	(	PUNCT
ap-7672	216	31	37	37	NUM
ap-7672	216	32	)	)	PUNCT
ap-7672	216	33	with	with	ADP
ap-7672	216	34	ϵ	ϵ	PROPN
ap-7672	216	35	=	=	SYM
ap-7672	216	36	2	2	NUM
ap-7672	216	37	,	,	PUNCT
ap-7672	216	38	γ	γ	NOUN
ap-7672	216	39	=	=	SYM
ap-7672	216	40	2	2	NUM
ap-7672	216	41	,	,	PUNCT
ap-7672	216	42	top	top	ADJ
ap-7672	216	43	:	:	PUNCT
ap-7672	216	44	ν	ν	X
ap-7672	216	45	=	=	SYM
ap-7672	216	46	0	0	NUM
ap-7672	216	47	,	,	PUNCT
ap-7672	216	48	z	z	NOUN
ap-7672	216	49	=	=	SYM
ap-7672	216	50	5	5	NUM
ap-7672	216	51	,	,	PUNCT
ap-7672	216	52	and	and	CCONJ
ap-7672	216	53	bottom	bottom	NOUN
ap-7672	216	54	:	:	PUNCT
ap-7672	216	55	ν	ν	X
ap-7672	216	56	=	=	SYM
ap-7672	216	57	3	3	NUM
ap-7672	216	58	,	,	PUNCT
ap-7672	216	59	z	z	NOUN
ap-7672	216	60	=	=	SYM
ap-7672	216	61	5	5	NUM
ap-7672	216	62	.	.	NOUN
ap-7672	216	63	4.6	4.6	NUM
ap-7672	216	64	.	.	PUNCT
ap-7672	217	1	heisenberg	heisenberg	PROPN
ap-7672	217	2	uncertainty	uncertainty	PROPN
ap-7672	217	3	relation	relation	PROPN
ap-7672	217	4	first	first	ADV
ap-7672	217	5	,	,	PUNCT
ap-7672	217	6	we	we	PRON
ap-7672	217	7	introduce	introduce	VERB
ap-7672	217	8	two	two	NUM
ap-7672	217	9	hermitian	hermitian	ADJ
ap-7672	217	10	quadrature	quadrature	NOUN
ap-7672	217	11	operators	operator	NOUN
ap-7672	217	12	x1	x1	NOUN
ap-7672	217	13	=	=	PUNCT
ap-7672	218	1	l+ν	l+ν	PROPN
ap-7672	218	2	+	+	CCONJ
ap-7672	218	3	l−ν	l−ν	PROPN
ap-7672	218	4	2	2	NUM
ap-7672	218	5	,	,	PUNCT
ap-7672	218	6	x2	x2	PROPN
ap-7672	218	7	=	=	PUNCT
ap-7672	218	8	l−ν	l−ν	PROPN
ap-7672	218	9	−	−	PROPN
ap-7672	218	10	l+ν	l+ν	PROPN
ap-7672	218	11	2i	2i	NOUN
ap-7672	218	12	,	,	PUNCT
ap-7672	218	13	(	(	PUNCT
ap-7672	218	14	43	43	NUM
ap-7672	218	15	)	)	PUNCT
ap-7672	218	16	and	and	CCONJ
ap-7672	218	17	the	the	DET
ap-7672	218	18	uncertainties	uncertainty	NOUN
ap-7672	218	19	σ2	σ2	PROPN
ap-7672	218	20	xi	xi	PUNCT
ap-7672	218	21	=	=	PROPN
ap-7672	218	22	⟨x2	⟨x2	PROPN
ap-7672	219	1	i	i	NOUN
ap-7672	219	2	⟩zν	⟩zν	PROPN
ap-7672	220	1	−	−	PROPN
ap-7672	220	2	⟨xi⟩2	⟨xi⟩2	NOUN
ap-7672	220	3	zν	zν	INTJ
ap-7672	220	4	,	,	PUNCT
ap-7672	220	5	i	i	PRON
ap-7672	220	6	=	=	NOUN
ap-7672	220	7	1	1	NUM
ap-7672	220	8	,	,	PUNCT
ap-7672	220	9	2	2	NUM
ap-7672	220	10	.	.	PUNCT
ap-7672	220	11	(	(	PUNCT
ap-7672	220	12	44	44	NUM
ap-7672	220	13	)	)	PUNCT
ap-7672	220	14	since	since	SCONJ
ap-7672	220	15	the	the	DET
ap-7672	220	16	coherent	coherent	ADJ
ap-7672	220	17	states	state	NOUN
ap-7672	220	18	are	be	AUX
ap-7672	220	19	eigenfunctions	eigenfunction	NOUN
ap-7672	220	20	of	of	ADP
ap-7672	220	21	l−	l−	NOUN
ap-7672	220	22	,	,	PUNCT
ap-7672	220	23	it	it	PRON
ap-7672	220	24	is	be	AUX
ap-7672	220	25	found	find	VERB
ap-7672	220	26	that	that	SCONJ
ap-7672	220	27	these	these	DET
ap-7672	220	28	uncertainties	uncertainty	NOUN
ap-7672	220	29	follow	follow	VERB
ap-7672	220	30	the	the	DET
ap-7672	220	31	product	product	NOUN
ap-7672	220	32	σ2	σ2	PROPN
ap-7672	220	33	x1	x1	PROPN
ap-7672	220	34	σ2	σ2	PROPN
ap-7672	220	35	x2	x2	PROPN
ap-7672	220	36	=	=	SYM
ap-7672	220	37	1	1	NUM
ap-7672	220	38	4	4	NUM
ap-7672	220	39	,	,	PUNCT
ap-7672	220	40	(	(	PUNCT
ap-7672	220	41	45	45	NUM
ap-7672	220	42	)	)	PUNCT
ap-7672	220	43	indicating	indicate	VERB
ap-7672	220	44	that	that	SCONJ
ap-7672	220	45	they	they	PRON
ap-7672	220	46	saturate	saturate	VERB
ap-7672	220	47	the	the	DET
ap-7672	220	48	heisenberg	heisenberg	PROPN
ap-7672	220	49	inequality	inequality	NOUN
ap-7672	220	50	.	.	PUNCT
ap-7672	221	1	5	5	X
ap-7672	221	2	.	.	X
ap-7672	221	3	conclusions	conclusion	NOUN
ap-7672	221	4	we	we	PRON
ap-7672	221	5	have	have	AUX
ap-7672	221	6	found	find	VERB
ap-7672	221	7	a	a	DET
ap-7672	221	8	family	family	NOUN
ap-7672	221	9	of	of	ADP
ap-7672	221	10	equivalent	equivalent	ADJ
ap-7672	221	11	non	non	ADJ
ap-7672	221	12	-	-	ADJ
ap-7672	221	13	rational	rational	ADJ
ap-7672	221	14	extensions	extension	NOUN
ap-7672	221	15	of	of	ADP
ap-7672	221	16	the	the	DET
ap-7672	221	17	harmonic	harmonic	ADJ
ap-7672	221	18	oscillator	oscillator	NOUN
ap-7672	221	19	potential	potential	NOUN
ap-7672	221	20	generated	generate	VERB
ap-7672	221	21	through	through	ADP
ap-7672	221	22	two	two	NUM
ap-7672	221	23	different	different	ADJ
ap-7672	221	24	susy	susy	NOUN
ap-7672	221	25	transformations	transformation	NOUN
ap-7672	221	26	involving	involve	VERB
ap-7672	221	27	general	general	ADJ
ap-7672	221	28	solutions	solution	NOUN
ap-7672	221	29	of	of	ADP
ap-7672	221	30	the	the	DET
ap-7672	221	31	stationary	stationary	ADJ
ap-7672	221	32	schrödinger	schrödinger	ADJ
ap-7672	221	33	equation	equation	NOUN
ap-7672	221	34	in	in	ADP
ap-7672	221	35	terms	term	NOUN
ap-7672	221	36	of	of	ADP
ap-7672	221	37	hermite	hermite	ADJ
ap-7672	221	38	functions	function	NOUN
ap-7672	221	39	.	.	PUNCT
ap-7672	222	1	these	these	DET
ap-7672	222	2	susy	susy	NOUN
ap-7672	222	3	figure	figure	NOUN
ap-7672	222	4	4	4	NUM
ap-7672	222	5	.	.	PUNCT
ap-7672	223	1	wigner	wigner	ADJ
ap-7672	223	2	distributions	distribution	NOUN
ap-7672	223	3	of	of	ADP
ap-7672	223	4	the	the	DET
ap-7672	223	5	linearised	linearise	VERB
ap-7672	223	6	coherent	coherent	ADJ
ap-7672	223	7	states	state	NOUN
ap-7672	223	8	with	with	ADP
ap-7672	223	9	ϵ	ϵ	PROPN
ap-7672	223	10	=	=	SYM
ap-7672	223	11	2	2	NUM
ap-7672	223	12	,	,	PUNCT
ap-7672	223	13	γ	γ	NOUN
ap-7672	223	14	=	=	SYM
ap-7672	223	15	2	2	NUM
ap-7672	223	16	,	,	PUNCT
ap-7672	223	17	z	z	NOUN
ap-7672	223	18	=	=	SYM
ap-7672	223	19	5	5	NUM
ap-7672	223	20	,	,	PUNCT
ap-7672	223	21	top	top	ADJ
ap-7672	223	22	:	:	PUNCT
ap-7672	223	23	ν	ν	X
ap-7672	223	24	=	=	SYM
ap-7672	223	25	0	0	NUM
ap-7672	223	26	,	,	PUNCT
ap-7672	223	27	and	and	CCONJ
ap-7672	223	28	bottom	bottom	NOUN
ap-7672	223	29	:	:	PUNCT
ap-7672	223	30	ν	ν	X
ap-7672	223	31	=	=	SYM
ap-7672	223	32	3	3	X
ap-7672	223	33	.	.	PUNCT
ap-7672	223	34	transformations	transformation	NOUN
ap-7672	223	35	consisted	consist	VERB
ap-7672	223	36	in	in	ADP
ap-7672	223	37	moving	move	VERB
ap-7672	223	38	the	the	DET
ap-7672	223	39	first	first	ADV
ap-7672	223	40	-	-	PUNCT
ap-7672	223	41	excited	excited	ADJ
ap-7672	223	42	state	state	NOUN
ap-7672	223	43	to	to	ADP
ap-7672	223	44	an	an	DET
ap-7672	223	45	arbitrary	arbitrary	ADJ
ap-7672	223	46	level	level	NOUN
ap-7672	223	47	between	between	ADP
ap-7672	223	48	the	the	DET
ap-7672	223	49	ground	ground	NOUN
ap-7672	223	50	and	and	CCONJ
ap-7672	223	51	the	the	DET
ap-7672	223	52	second	second	ADV
ap-7672	223	53	-	-	PUNCT
ap-7672	223	54	excited	excite	VERB
ap-7672	223	55	states	state	NOUN
ap-7672	223	56	,	,	PUNCT
ap-7672	223	57	and	and	CCONJ
ap-7672	223	58	,	,	PUNCT
ap-7672	223	59	on	on	ADP
ap-7672	223	60	the	the	DET
ap-7672	223	61	other	other	ADJ
ap-7672	223	62	hand	hand	NOUN
ap-7672	223	63	,	,	PUNCT
ap-7672	223	64	adding	add	VERB
ap-7672	223	65	two	two	NUM
ap-7672	223	66	new	new	ADJ
ap-7672	223	67	levels	level	NOUN
ap-7672	223	68	below	below	ADP
ap-7672	223	69	the	the	DET
ap-7672	223	70	ground	ground	NOUN
ap-7672	223	71	state	state	NOUN
ap-7672	223	72	.	.	PUNCT
ap-7672	224	1	we	we	PRON
ap-7672	224	2	built	build	VERB
ap-7672	224	3	fourth	fourth	ADJ
ap-7672	224	4	-	-	PUNCT
ap-7672	224	5	order	order	NOUN
ap-7672	224	6	differential	differential	NOUN
ap-7672	224	7	ladder	ladder	NOUN
ap-7672	224	8	operators	operator	NOUN
ap-7672	224	9	as	as	ADP
ap-7672	224	10	the	the	DET
ap-7672	224	11	product	product	NOUN
ap-7672	224	12	of	of	ADP
ap-7672	224	13	the	the	DET
ap-7672	224	14	intertwining	intertwine	VERB
ap-7672	224	15	operators	operator	NOUN
ap-7672	224	16	related	relate	VERB
ap-7672	224	17	to	to	ADP
ap-7672	224	18	the	the	DET
ap-7672	224	19	equivalent	equivalent	ADJ
ap-7672	224	20	susy	susy	NOUN
ap-7672	224	21	transformations	transformation	NOUN
ap-7672	224	22	.	.	PUNCT
ap-7672	225	1	then	then	ADV
ap-7672	225	2	,	,	PUNCT
ap-7672	225	3	we	we	PRON
ap-7672	225	4	linearised	linearise	VERB
ap-7672	225	5	these	these	DET
ap-7672	225	6	ladder	ladder	NOUN
ap-7672	225	7	operators	operator	NOUN
ap-7672	225	8	to	to	PART
ap-7672	225	9	have	have	VERB
ap-7672	225	10	a	a	DET
ap-7672	225	11	linear	linear	ADJ
ap-7672	225	12	commutation	commutation	NOUN
ap-7672	225	13	relation	relation	NOUN
ap-7672	225	14	.	.	PUNCT
ap-7672	226	1	in	in	ADP
ap-7672	226	2	addition	addition	NOUN
ap-7672	226	3	,	,	PUNCT
ap-7672	226	4	we	we	PRON
ap-7672	226	5	realized	realize	VERB
ap-7672	226	6	that	that	SCONJ
ap-7672	226	7	these	these	DET
ap-7672	226	8	operators	operator	NOUN
ap-7672	226	9	divide	divide	VERB
ap-7672	226	10	the	the	DET
ap-7672	226	11	entire	entire	ADJ
ap-7672	226	12	hilbert	hilbert	NOUN
ap-7672	226	13	space	space	NOUN
ap-7672	226	14	of	of	ADP
ap-7672	226	15	eigenfunctions	eigenfunction	NOUN
ap-7672	226	16	into	into	ADP
ap-7672	226	17	two	two	NUM
ap-7672	226	18	infinite	infinite	ADJ
ap-7672	226	19	energy	energy	NOUN
ap-7672	226	20	ladders	ladder	NOUN
ap-7672	226	21	or	or	CCONJ
ap-7672	226	22	hilbert	hilbert	NOUN
ap-7672	226	23	-	-	PUNCT
ap-7672	226	24	subspaces	subspace	NOUN
ap-7672	226	25	,	,	PUNCT
ap-7672	226	26	and	and	CCONJ
ap-7672	226	27	one	one	NUM
ap-7672	226	28	single	single	ADJ
ap-7672	226	29	-	-	PUNCT
ap-7672	226	30	element	element	NOUN
ap-7672	226	31	subspace	subspace	NOUN
ap-7672	226	32	.	.	PUNCT
ap-7672	227	1	then	then	ADV
ap-7672	227	2	,	,	PUNCT
ap-7672	227	3	we	we	PRON
ap-7672	227	4	derived	derive	VERB
ap-7672	227	5	coherent	coherent	ADJ
ap-7672	227	6	states	state	NOUN
ap-7672	227	7	of	of	ADP
ap-7672	227	8	the	the	DET
ap-7672	227	9	linearised	linearise	VERB
ap-7672	227	10	annihilation	annihilation	NOUN
ap-7672	227	11	operator	operator	NOUN
ap-7672	227	12	as	as	ADP
ap-7672	227	13	eigenstates	eigenstate	NOUN
ap-7672	227	14	.	.	PUNCT
ap-7672	228	1	we	we	PRON
ap-7672	228	2	uncovered	uncover	VERB
ap-7672	228	3	that	that	SCONJ
ap-7672	228	4	they	they	PRON
ap-7672	228	5	are	be	AUX
ap-7672	228	6	temporally	temporally	ADV
ap-7672	228	7	stable	stable	ADJ
ap-7672	228	8	cyclic	cyclic	ADJ
ap-7672	228	9	states	state	NOUN
ap-7672	228	10	with	with	ADP
ap-7672	228	11	a	a	DET
ap-7672	228	12	period	period	NOUN
ap-7672	228	13	τ	τ	X
ap-7672	228	14	=	=	SYM
ap-7672	228	15	π	π	PROPN
ap-7672	228	16	,	,	PUNCT
ap-7672	228	17	and	and	CCONJ
ap-7672	228	18	we	we	PRON
ap-7672	228	19	showed	show	VERB
ap-7672	228	20	as	as	ADV
ap-7672	228	21	well	well	ADV
ap-7672	228	22	that	that	SCONJ
ap-7672	228	23	they	they	PRON
ap-7672	228	24	form	form	VERB
ap-7672	228	25	an	an	DET
ap-7672	228	26	overcomplete	overcomplete	NOUN
ap-7672	228	27	set	set	NOUN
ap-7672	228	28	in	in	ADP
ap-7672	228	29	each	each	DET
ap-7672	228	30	subspace	subspace	NOUN
ap-7672	228	31	.	.	PUNCT
ap-7672	229	1	moreover	moreover	ADV
ap-7672	229	2	,	,	PUNCT
ap-7672	229	3	they	they	PRON
ap-7672	229	4	present	present	VERB
ap-7672	229	5	the	the	DET
ap-7672	229	6	same	same	ADJ
ap-7672	229	7	energy	energy	NOUN
ap-7672	229	8	growth	growth	NOUN
ap-7672	229	9	as	as	ADP
ap-7672	229	10	the	the	DET
ap-7672	229	11	oscillator	oscillator	NOUN
ap-7672	229	12	coherent	coherent	ADJ
ap-7672	229	13	states	state	NOUN
ap-7672	229	14	.	.	PUNCT
ap-7672	230	1	for	for	ADP
ap-7672	230	2	the	the	DET
ap-7672	230	3	time	time	NOUN
ap-7672	230	4	evolution	evolution	NOUN
ap-7672	230	5	of	of	ADP
ap-7672	230	6	the	the	DET
ap-7672	230	7	probability	probability	NOUN
ap-7672	230	8	densities	density	NOUN
ap-7672	230	9	,	,	PUNCT
ap-7672	230	10	we	we	PRON
ap-7672	230	11	obtained	obtain	VERB
ap-7672	230	12	the	the	DET
ap-7672	230	13	structure	structure	NOUN
ap-7672	230	14	of	of	ADP
ap-7672	230	15	two	two	NUM
ap-7672	230	16	oscillating	oscillate	VERB
ap-7672	230	17	wave	wave	NOUN
ap-7672	230	18	-	-	PUNCT
ap-7672	230	19	packets	packet	NOUN
ap-7672	230	20	,	,	PUNCT
ap-7672	230	21	each	each	DET
ap-7672	230	22	one	one	NUM
ap-7672	230	23	with	with	ADP
ap-7672	230	24	a	a	DET
ap-7672	230	25	period	period	NOUN
ap-7672	230	26	2π	2π	NOUN
ap-7672	230	27	,	,	PUNCT
ap-7672	230	28	but	but	CCONJ
ap-7672	230	29	the	the	DET
ap-7672	230	30	collective	collective	ADJ
ap-7672	230	31	behaviour	behaviour	NOUN
ap-7672	230	32	with	with	ADP
ap-7672	230	33	a	a	DET
ap-7672	230	34	period	period	NOUN
ap-7672	230	35	τ	τ	X
ap-7672	230	36	.	.	PUNCT
ap-7672	231	1	for	for	ADP
ap-7672	231	2	the	the	DET
ap-7672	231	3	wigner	wigner	NOUN
ap-7672	231	4	functions	function	NOUN
ap-7672	231	5	,	,	PUNCT
ap-7672	231	6	we	we	PRON
ap-7672	231	7	observed	observe	VERB
ap-7672	231	8	that	that	SCONJ
ap-7672	231	9	they	they	PRON
ap-7672	231	10	possess	possess	VERB
ap-7672	231	11	regions	region	NOUN
ap-7672	231	12	with	with	ADP
ap-7672	231	13	non	non	ADJ
ap-7672	231	14	-	-	ADJ
ap-7672	231	15	positive	positive	ADJ
ap-7672	231	16	values	value	NOUN
ap-7672	231	17	,	,	PUNCT
ap-7672	231	18	unveiling	unveil	VERB
ap-7672	231	19	the	the	DET
ap-7672	231	20	quantum	quantum	ADJ
ap-7672	231	21	nature	nature	NOUN
ap-7672	231	22	of	of	ADP
ap-7672	231	23	these	these	DET
ap-7672	231	24	states	state	NOUN
ap-7672	231	25	.	.	PUNCT
ap-7672	232	1	finally	finally	ADV
ap-7672	232	2	,	,	PUNCT
ap-7672	232	3	by	by	ADP
ap-7672	232	4	defining	define	VERB
ap-7672	232	5	two	two	NUM
ap-7672	232	6	hermitian	hermitian	ADJ
ap-7672	232	7	quadrature	quadrature	NOUN
ap-7672	232	8	operators	operator	NOUN
ap-7672	232	9	as	as	ADP
ap-7672	232	10	in	in	ADP
ap-7672	232	11	the	the	DET
ap-7672	232	12	harmonic	harmonic	ADJ
ap-7672	232	13	oscillator	oscillator	NOUN
ap-7672	232	14	,	,	PUNCT
ap-7672	232	15	we	we	PRON
ap-7672	232	16	got	get	VERB
ap-7672	232	17	the	the	DET
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ap-7672	232	19	coherent	coherent	ADJ
ap-7672	232	20	states	state	NOUN
ap-7672	232	21	saturate	saturate	VERB
ap-7672	232	22	the	the	DET
ap-7672	232	23	heisenberg	heisenberg	PROPN
ap-7672	232	24	inequality	inequality	PROPN
ap-7672	232	25	.	.	PUNCT
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ap-7672	233	2	,	,	PUNCT
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ap-7672	233	4	we	we	PRON
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ap-7672	233	7	,	,	PUNCT
ap-7672	233	8	we	we	PRON
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ap-7672	233	10	that	that	SCONJ
ap-7672	233	11	our	our	PRON
ap-7672	233	12	states	state	NOUN
ap-7672	233	13	present	present	VERB
ap-7672	233	14	both	both	CCONJ
ap-7672	233	15	classical	classical	ADJ
ap-7672	233	16	and	and	CCONJ
ap-7672	233	17	quantum	quantum	ADJ
ap-7672	233	18	behaviour	behaviour	NOUN
ap-7672	233	19	.	.	PUNCT
ap-7672	234	1	35	35	NUM
ap-7672	234	2	a.	a.	NOUN
ap-7672	234	3	contreras	contreras	PROPN
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ap-7672	234	5	astorga	astorga	PROPN
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ap-7672	234	8	j.	j.	PROPN
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ap-7672	234	12	c.	c.	PROPN
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ap-7672	234	14	-	-	PUNCT
ap-7672	234	15	cabral	cabral	PROPN
ap-7672	234	16	acta	acta	PROPN
ap-7672	234	17	polytechnica	polytechnica	PROPN
ap-7672	234	18	acknowledgements	acknowledgement	NOUN
ap-7672	234	19	the	the	DET
ap-7672	234	20	authors	author	NOUN
ap-7672	234	21	acknowledge	acknowledge	VERB
ap-7672	234	22	consejo	consejo	PROPN
ap-7672	234	23	nacional	nacional	PROPN
ap-7672	234	24	de	de	ADP
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ap-7672	234	26	y	y	PROPN
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ap-7672	234	29	conacyt	conacyt	NOUN
ap-7672	234	30	-	-	PUNCT
ap-7672	234	31	méxico	méxico	NOUN
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ap-7672	234	39	references	reference	NOUN
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ap-7672	235	2	1	1	NUM
ap-7672	235	3	]	]	X
ap-7672	235	4	c.	c.	PROPN
ap-7672	235	5	v.	v.	PROPN
ap-7672	235	6	sukumar	sukumar	PROPN
ap-7672	235	7	.	.	PUNCT
ap-7672	236	1	supersymmetric	supersymmetric	ADJ
ap-7672	236	2	quantum	quantum	ADJ
ap-7672	236	3	mechanics	mechanic	NOUN
ap-7672	236	4	of	of	ADP
ap-7672	236	5	one	one	NUM
ap-7672	236	6	-	-	PUNCT
ap-7672	236	7	dimensional	dimensional	ADJ
ap-7672	236	8	systems	system	NOUN
ap-7672	236	9	.	.	PUNCT
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ap-7672	237	2	of	of	ADP
ap-7672	237	3	physics	physics	PROPN
ap-7672	237	4	a	a	PRON
ap-7672	237	5	:	:	PUNCT
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ap-7672	237	7	and	and	CCONJ
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ap-7672	237	9	18(15):2917	18(15):2917	NUM
ap-7672	237	10	,	,	PUNCT
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ap-7672	237	12	.	.	PUNCT
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ap-7672	238	2	.	.	PUNCT
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ap-7672	239	2	2	2	X
ap-7672	239	3	]	]	PUNCT
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ap-7672	239	5	b.	b.	PROPN
ap-7672	239	6	matveev	matveev	PROPN
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ap-7672	239	8	m.	m.	NOUN
ap-7672	239	9	a.	a.	NOUN
ap-7672	239	10	salle	salle	PROPN
ap-7672	239	11	.	.	PUNCT
ap-7672	240	1	darboux	darboux	VERB
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ap-7672	240	3	and	and	CCONJ
ap-7672	240	4	solitons	soliton	NOUN
ap-7672	240	5	.	.	PUNCT
ap-7672	241	1	springer	springer	NOUN
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ap-7672	241	3	in	in	ADP
ap-7672	241	4	nonlinear	nonlinear	ADJ
ap-7672	241	5	dynamics	dynamic	NOUN
ap-7672	241	6	.	.	PUNCT
ap-7672	242	1	springer	springer	PROPN
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ap-7672	242	4	,	,	PUNCT
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ap-7672	242	6	.	.	PUNCT
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ap-7672	244	2	3	3	NUM
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ap-7672	244	5	cooper	cooper	PROPN
ap-7672	244	6	,	,	PUNCT
ap-7672	244	7	a.	a.	PROPN
ap-7672	244	8	khare	khare	PROPN
ap-7672	244	9	,	,	PUNCT
ap-7672	244	10	u.	u.	PROPN
ap-7672	244	11	sukhatme	sukhatme	PROPN
ap-7672	244	12	.	.	PUNCT
ap-7672	245	1	supersymmetry	supersymmetry	NOUN
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ap-7672	245	3	quantum	quantum	NOUN
ap-7672	245	4	mechanics	mechanic	NOUN
ap-7672	245	5	.	.	PUNCT
ap-7672	246	1	physics	physics	NOUN
ap-7672	246	2	reports	report	VERB
ap-7672	246	3	251(5	251(5	NUM
ap-7672	246	4	-	-	SYM
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ap-7672	246	6	,	,	PUNCT
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ap-7672	246	8	.	.	PUNCT
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ap-7672	247	2	.	.	PUNCT
ap-7672	248	1	[	[	X
ap-7672	248	2	4	4	X
ap-7672	248	3	]	]	X
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ap-7672	248	5	j.	j.	PROPN
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ap-7672	248	8	,	,	PUNCT
ap-7672	248	9	n.	n.	PROPN
ap-7672	248	10	fernández	fernández	PROPN
ap-7672	248	11	-	-	PUNCT
ap-7672	248	12	garcía	garcía	ADJ
ap-7672	248	13	.	.	PUNCT
ap-7672	249	1	higher	high	ADJ
ap-7672	249	2	-	-	PUNCT
ap-7672	249	3	order	order	NOUN
ap-7672	249	4	supersymmetric	supersymmetric	ADJ
ap-7672	249	5	quantum	quantum	NOUN
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ap-7672	249	7	.	.	PUNCT
ap-7672	250	1	aip	aip	PROPN
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ap-7672	250	5	,	,	PUNCT
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ap-7672	250	7	.	.	PUNCT
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ap-7672	251	2	.	.	PUNCT
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ap-7672	252	2	5	5	X
ap-7672	252	3	]	]	PUNCT
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ap-7672	252	5	junker	junker	PROPN
ap-7672	252	6	.	.	PUNCT
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ap-7672	253	2	methods	method	NOUN
ap-7672	253	3	in	in	ADP
ap-7672	253	4	quantum	quantum	NOUN
ap-7672	253	5	,	,	PUNCT
ap-7672	253	6	statistical	statistical	ADJ
ap-7672	253	7	and	and	CCONJ
ap-7672	253	8	solid	solid	ADJ
ap-7672	253	9	state	state	NOUN
ap-7672	253	10	physics	physics	NOUN
ap-7672	253	11	.	.	PUNCT
ap-7672	254	1	iop	iop	PROPN
ap-7672	254	2	expanding	expand	VERB
ap-7672	254	3	physics	physic	NOUN
ap-7672	254	4	.	.	PUNCT
ap-7672	255	1	institute	institute	PROPN
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ap-7672	255	3	physics	physics	PROPN
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ap-7672	255	5	,	,	PUNCT
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ap-7672	255	7	.	.	PUNCT
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ap-7672	256	3	.	.	PUNCT
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ap-7672	257	2	6	6	NUM
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ap-7672	257	9	.	.	PUNCT
ap-7672	258	1	krein	krein	PROPN
ap-7672	258	2	-	-	PUNCT
ap-7672	258	3	adler	adler	PROPN
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ap-7672	258	5	for	for	ADP
ap-7672	258	6	shape	shape	NOUN
ap-7672	258	7	-	-	PUNCT
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ap-7672	258	9	potentials	potential	NOUN
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ap-7672	258	14	.	.	PUNCT
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ap-7672	259	5	:	:	PUNCT
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ap-7672	259	10	,	,	PUNCT
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ap-7672	259	12	.	.	PUNCT
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ap-7672	260	2	.	.	PUNCT
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ap-7672	261	2	7	7	X
ap-7672	261	3	]	]	X
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ap-7672	261	6	-	-	PUNCT
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ap-7672	261	8	,	,	PUNCT
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ap-7672	261	14	.	.	PUNCT
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ap-7672	262	8	translationally	translationally	ADJ
ap-7672	262	9	shape	shape	NOUN
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ap-7672	262	12	.	.	PUNCT
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ap-7672	263	6	,	,	PUNCT
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ap-7672	263	8	.	.	PUNCT
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ap-7672	264	2	.	.	PUNCT
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ap-7672	265	2	8	8	NUM
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ap-7672	266	12	,	,	PUNCT
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ap-7672	266	14	.	.	PUNCT
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ap-7672	268	25	.	.	PUNCT
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ap-7672	269	12	.	.	PUNCT
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ap-7672	273	7	2020	2020	NUM
ap-7672	273	8	.	.	PUNCT
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ap-7672	275	2	11	11	NUM
ap-7672	275	3	]	]	X
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ap-7672	275	5	muro	muro	PROPN
ap-7672	275	6	-	-	PUNCT
ap-7672	275	7	cabral	cabral	NOUN
ap-7672	275	8	.	.	PUNCT
ap-7672	275	9	ladder	ladder	NOUN
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ap-7672	275	12	coherent	coherent	ADJ
ap-7672	275	13	states	state	NOUN
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ap-7672	275	15	supersymmetric	supersymmetric	ADJ
ap-7672	275	16	extensions	extension	NOUN
ap-7672	275	17	of	of	ADP
ap-7672	275	18	the	the	DET
ap-7672	275	19	harmonic	harmonic	ADJ
ap-7672	275	20	oscillator	oscillator	NOUN
ap-7672	275	21	.	.	PUNCT
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ap-7672	276	2	’s	’s	PART
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ap-7672	276	4	,	,	PUNCT
ap-7672	276	5	physics	physics	NOUN
ap-7672	276	6	department	department	PROPN
ap-7672	276	7	,	,	PUNCT
ap-7672	276	8	cinvestav	cinvestav	NOUN
ap-7672	276	9	,	,	PUNCT
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ap-7672	276	11	.	.	PUNCT
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ap-7672	277	2	12	12	NUM
ap-7672	277	3	]	]	PUNCT
ap-7672	277	4	e.	e.	PROPN
ap-7672	277	5	schrödinger	schrödinger	PROPN
ap-7672	277	6	.	.	PUNCT
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ap-7672	278	3	übergang	übergang	PROPN
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ap-7672	278	5	der	der	PROPN
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ap-7672	278	8	.	.	PUNCT
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ap-7672	279	5	,	,	PUNCT
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ap-7672	279	7	.	.	PUNCT
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ap-7672	280	2	.	.	PUNCT
ap-7672	281	1	[	[	X
ap-7672	281	2	13	13	NUM
ap-7672	281	3	]	]	PUNCT
ap-7672	281	4	r.	r.	PROPN
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ap-7672	281	6	glauber	glauber	PROPN
ap-7672	281	7	.	.	PUNCT
ap-7672	282	1	coherent	coherent	ADJ
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ap-7672	282	8	field	field	NOUN
ap-7672	282	9	.	.	PUNCT
ap-7672	283	1	physical	physical	ADJ
ap-7672	283	2	review	review	NOUN
ap-7672	283	3	131(6):2766	131(6):2766	NUM
ap-7672	283	4	,	,	PUNCT
ap-7672	283	5	1963	1963	NUM
ap-7672	283	6	.	.	PUNCT
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ap-7672	285	2	14	14	NUM
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ap-7672	285	14	a.	a.	PROPN
ap-7672	285	15	youssef	youssef	PROPN
ap-7672	285	16	.	.	PUNCT
ap-7672	286	1	semi	semi	ADJ
ap-7672	286	2	-	-	ADJ
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ap-7672	286	6	pöschl	pöschl	NOUN
ap-7672	286	7	-	-	PUNCT
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ap-7672	286	11	.	.	PUNCT
ap-7672	287	1	epl	epl	PROPN
ap-7672	287	2	(	(	PUNCT
ap-7672	287	3	europhysics	europhysics	PRON
ap-7672	287	4	letters	letter	NOUN
ap-7672	287	5	)	)	PUNCT
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ap-7672	287	7	,	,	PUNCT
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ap-7672	287	9	.	.	PUNCT
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ap-7672	288	2	.	.	PUNCT
ap-7672	289	1	[	[	X
ap-7672	289	2	15	15	NUM
ap-7672	289	3	]	]	X
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ap-7672	289	9	l.	l.	PROPN
ap-7672	289	10	m.	m.	PROPN
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ap-7672	289	15	-	-	PUNCT
ap-7672	289	16	ortiz	ortiz	PROPN
ap-7672	289	17	.	.	PUNCT
ap-7672	289	18	distorted	distort	VERB
ap-7672	289	19	heisenberg	heisenberg	PROPN
ap-7672	289	20	algebra	algebra	PROPN
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ap-7672	289	22	coherent	coherent	ADJ
ap-7672	289	23	states	state	NOUN
ap-7672	289	24	for	for	ADP
ap-7672	289	25	isospectral	isospectral	ADJ
ap-7672	289	26	oscillator	oscillator	NOUN
ap-7672	289	27	hamiltonians	hamiltonian	NOUN
ap-7672	289	28	.	.	PUNCT
ap-7672	290	1	journal	journal	PROPN
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ap-7672	290	3	physics	physics	PROPN
ap-7672	290	4	a	a	PRON
ap-7672	290	5	:	:	PUNCT
ap-7672	290	6	mathematical	mathematical	ADJ
ap-7672	290	7	and	and	CCONJ
ap-7672	290	8	general	general	ADJ
ap-7672	290	9	28(9):2693	28(9):2693	NUM
ap-7672	290	10	,	,	PUNCT
ap-7672	290	11	1995	1995	NUM
ap-7672	290	12	.	.	PUNCT
ap-7672	291	1	https://doi.org/10.1088/0305-4470/28/9/026	https://doi.org/10.1088/0305-4470/28/9/026	PROPN
ap-7672	291	2	.	.	PUNCT
ap-7672	292	1	[	[	X
ap-7672	292	2	16	16	NUM
ap-7672	292	3	]	]	X
ap-7672	292	4	d.	d.	PROPN
ap-7672	292	5	j.	j.	PROPN
ap-7672	292	6	fernández	fernández	PROPN
ap-7672	292	7	c.	c.	PROPN
ap-7672	292	8	,	,	PUNCT
ap-7672	292	9	v.	v.	PROPN
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ap-7672	292	11	,	,	PUNCT
ap-7672	292	12	o.	o.	PROPN
ap-7672	292	13	rosas	rosas	PROPN
ap-7672	292	14	-	-	PUNCT
ap-7672	292	15	ortiz	ortiz	PROPN
ap-7672	292	16	.	.	PUNCT
ap-7672	293	1	coherent	coherent	ADJ
ap-7672	293	2	states	state	NOUN
ap-7672	293	3	for	for	ADP
ap-7672	293	4	hamiltonians	hamiltonian	NOUN
ap-7672	293	5	generated	generate	VERB
ap-7672	293	6	by	by	ADP
ap-7672	293	7	supersymmetry	supersymmetry	NOUN
ap-7672	293	8	.	.	PUNCT
ap-7672	294	1	journal	journal	PROPN
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ap-7672	294	3	physics	physics	PROPN
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ap-7672	294	5	:	:	PUNCT
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ap-7672	294	7	and	and	CCONJ
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ap-7672	294	9	40(24):6491	40(24):6491	NUM
ap-7672	294	10	,	,	PUNCT
ap-7672	294	11	2007	2007	NUM
ap-7672	294	12	.	.	PUNCT
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ap-7672	295	2	.	.	PUNCT
ap-7672	296	1	[	[	X
ap-7672	296	2	17	17	NUM
ap-7672	296	3	]	]	X
ap-7672	296	4	d.	d.	PROPN
ap-7672	296	5	bermudez	bermudez	PROPN
ap-7672	296	6	,	,	PUNCT
ap-7672	296	7	a.	a.	PROPN
ap-7672	296	8	contreras	contreras	PROPN
ap-7672	296	9	-	-	PUNCT
ap-7672	296	10	astorga	astorga	PROPN
ap-7672	296	11	,	,	PUNCT
ap-7672	296	12	d.	d.	PROPN
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ap-7672	296	16	painlevé	painlevé	PROPN
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ap-7672	296	19	states	state	NOUN
ap-7672	296	20	.	.	PUNCT
ap-7672	297	1	annals	annal	NOUN
ap-7672	297	2	of	of	ADP
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ap-7672	297	5	,	,	PUNCT
ap-7672	297	6	2014	2014	NUM
ap-7672	297	7	.	.	PUNCT
ap-7672	298	1	https://doi.org/10.1016/j.aop.2014.07.025	https://doi.org/10.1016/j.aop.2014.07.025	PROPN
ap-7672	298	2	.	.	PUNCT
ap-7672	299	1	[	[	X
ap-7672	299	2	18	18	NUM
ap-7672	299	3	]	]	PUNCT
ap-7672	299	4	s.	s.	PROPN
ap-7672	299	5	e.	e.	PROPN
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ap-7672	299	8	v.	v.	PROPN
ap-7672	299	9	hussin	hussin	PROPN
ap-7672	299	10	,	,	PUNCT
ap-7672	299	11	i.	i.	PROPN
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ap-7672	299	13	,	,	PUNCT
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ap-7672	299	18	.	.	PUNCT
ap-7672	300	1	coherent	coherent	ADJ
ap-7672	300	2	states	state	NOUN
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ap-7672	300	8	order	order	NOUN
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ap-7672	300	12	orthogonal	orthogonal	ADJ
ap-7672	300	13	polynomials	polynomial	NOUN
ap-7672	300	14	.	.	PUNCT
ap-7672	301	1	journal	journal	PROPN
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ap-7672	301	10	,	,	PUNCT
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ap-7672	301	12	.	.	PUNCT
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ap-7672	302	2	.	.	PUNCT
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ap-7672	303	2	19	19	NUM
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ap-7672	303	4	s.	s.	PROPN
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ap-7672	303	10	,	,	PUNCT
ap-7672	303	11	i.	i.	PROPN
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ap-7672	303	13	,	,	PUNCT
ap-7672	303	14	z.	z.	PROPN
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ap-7672	303	16	.	.	PUNCT
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ap-7672	304	15	.	.	PUNCT
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ap-7672	305	8	.	.	PUNCT
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ap-7672	309	10	,	,	PUNCT
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ap-7672	309	12	.	.	PUNCT
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ap-7672	310	2	.	.	PUNCT
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ap-7672	311	2	21	21	NUM
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ap-7672	311	10	.	.	PUNCT
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ap-7672	312	9	-	-	ADJ
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ap-7672	312	12	.	.	PUNCT
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ap-7672	313	6	,	,	PUNCT
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ap-7672	313	8	.	.	PUNCT
ap-7672	314	1	https://doi.org/10.1007/bf01646483	https://doi.org/10.1007/bf01646483	X
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ap-7672	316	5	lie	lie	NOUN
ap-7672	316	6	group	group	NOUN
ap-7672	316	7	.	.	PUNCT
ap-7672	317	1	communications	communication	NOUN
ap-7672	317	2	in	in	ADP
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ap-7672	317	4	physics	physics	NOUN
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ap-7672	317	6	,	,	PUNCT
ap-7672	317	7	1972	1972	NUM
ap-7672	317	8	.	.	PUNCT
ap-7672	318	1	https://doi.org/10.1007/bf01645091	https://doi.org/10.1007/bf01645091	X
ap-7672	318	2	.	.	PUNCT
ap-7672	319	1	[	[	X
ap-7672	319	2	23	23	NUM
ap-7672	319	3	]	]	PUNCT
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ap-7672	319	7	,	,	PUNCT
ap-7672	319	8	l.	l.	PROPN
ap-7672	319	9	m.	m.	PROPN
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ap-7672	320	1	coherent	coherent	ADJ
ap-7672	320	2	states	state	NOUN
ap-7672	320	3	for	for	ADP
ap-7672	320	4	general	general	ADJ
ap-7672	320	5	potentials	potential	NOUN
ap-7672	320	6	.	.	PUNCT
ap-7672	321	1	i.	i.	NOUN
ap-7672	321	2	formalism	formalism	NOUN
ap-7672	321	3	.	.	PUNCT
ap-7672	322	1	physical	physical	ADJ
ap-7672	322	2	review	review	PROPN
ap-7672	323	1	d	d	PROPN
ap-7672	323	2	20:1321–1331	20:1321–1331	NUM
ap-7672	323	3	,	,	PUNCT
ap-7672	323	4	1979	1979	NUM
ap-7672	323	5	.	.	PUNCT
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ap-7672	325	1	[	[	X
ap-7672	325	2	24	24	NUM
ap-7672	325	3	]	]	X
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ap-7672	325	5	v.	v.	PROPN
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ap-7672	325	7	,	,	PUNCT
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ap-7672	325	9	v.	v.	PROPN
ap-7672	325	10	kurmyshev	kurmyshev	PROPN
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ap-7672	325	13	i.	i.	PROPN
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ap-7672	326	2	uncertainty	uncertainty	NOUN
ap-7672	326	3	relation	relation	NOUN
ap-7672	326	4	and	and	CCONJ
ap-7672	326	5	correlated	correlate	VERB
ap-7672	326	6	coherent	coherent	ADJ
ap-7672	326	7	states	state	NOUN
ap-7672	326	8	.	.	PUNCT
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ap-7672	327	2	letters	letter	NOUN
ap-7672	327	3	a	a	DET
ap-7672	327	4	79(2	79(2	NOUN
ap-7672	327	5	-	-	PUNCT
ap-7672	327	6	3):150–152	3):150–152	NUM
ap-7672	327	7	,	,	PUNCT
ap-7672	327	8	1980	1980	NUM
ap-7672	327	9	.	.	PUNCT
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ap-7672	329	2	25	25	NUM
ap-7672	329	3	]	]	PUNCT
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ap-7672	329	9	r.	r.	PROPN
ap-7672	329	10	klauder	klauder	PROPN
ap-7672	329	11	.	.	PUNCT
ap-7672	330	1	coherent	coherent	ADJ
ap-7672	330	2	states	state	NOUN
ap-7672	330	3	for	for	ADP
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ap-7672	330	5	with	with	ADP
ap-7672	330	6	discrete	discrete	ADJ
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ap-7672	330	8	continuous	continuous	ADJ
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ap-7672	330	10	.	.	PUNCT
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ap-7672	331	5	:	:	PUNCT
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ap-7672	331	8	general	general	ADJ
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ap-7672	331	10	,	,	PUNCT
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ap-7672	331	12	.	.	PUNCT
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ap-7672	332	2	.	.	PUNCT
ap-7672	333	1	[	[	X
ap-7672	333	2	26	26	NUM
ap-7672	333	3	]	]	X
ap-7672	333	4	d.	d.	PROPN
ap-7672	333	5	j.	j.	PROPN
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ap-7672	333	9	,	,	PUNCT
ap-7672	333	10	supersymmetry	supersymmetry	NOUN
ap-7672	333	11	and	and	CCONJ
ap-7672	333	12	coherent	coherent	ADJ
ap-7672	333	13	states	state	NOUN
ap-7672	333	14	:	:	PUNCT
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ap-7672	333	23	,	,	PUNCT
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ap-7672	333	25	.	.	PUNCT
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ap-7672	334	2	in	in	ADP
ap-7672	334	3	supersymmetric	supersymmetric	ADJ
ap-7672	334	4	quantum	quantum	NOUN
ap-7672	334	5	mechanics	mechanic	NOUN
ap-7672	334	6	,	,	PUNCT
ap-7672	334	7	pp	pp	ADJ
ap-7672	334	8	.	.	PUNCT
ap-7672	335	1	37–68	37–68	NUM
ap-7672	335	2	.	.	PUNCT
ap-7672	336	1	springer	springer	PROPN
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ap-7672	336	4	,	,	PUNCT
ap-7672	336	5	cham	cham	NOUN
ap-7672	336	6	,	,	PUNCT
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ap-7672	336	8	.	.	PUNCT
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ap-7672	337	2	.	.	PROPN
ap-7672	337	3	36	36	NUM
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ap-7672	340	1	https://doi.org/10.1007/bf01646483	https://doi.org/10.1007/bf01646483	PROPN
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ap-7672	340	8	.	.	PROPN
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ap-7672	341	3	.	.	PUNCT
ap-7672	342	1	1/2022	1/2022	NUM
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ap-7672	342	3	cs	cs	PROPN
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ap-7672	342	5	non	non	ADJ
ap-7672	342	6	-	-	ADJ
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ap-7672	342	9	extensions	extension	NOUN
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ap-7672	342	13	[	[	X
ap-7672	342	14	27	27	NUM
ap-7672	342	15	]	]	PUNCT
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ap-7672	342	18	,	,	PUNCT
ap-7672	342	19	i.	i.	PROPN
ap-7672	342	20	a.	a.	PROPN
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ap-7672	342	24	.	.	PUNCT
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ap-7672	343	3	mathematical	mathematical	ADJ
ap-7672	343	4	functions	function	NOUN
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ap-7672	343	8	,	,	PUNCT
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ap-7672	343	10	,	,	PUNCT
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ap-7672	344	1	dover	dover	PROPN
ap-7672	344	2	,	,	PUNCT
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ap-7672	344	4	.	.	PUNCT
ap-7672	345	1	[	[	X
ap-7672	345	2	28	28	NUM
ap-7672	345	3	]	]	X
ap-7672	345	4	v.	v.	PROPN
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ap-7672	345	6	adler	adler	PROPN
ap-7672	345	7	.	.	PUNCT
ap-7672	346	1	a	a	DET
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ap-7672	346	4	crum	crum	PROPN
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ap-7672	346	6	method	method	NOUN
ap-7672	346	7	.	.	PUNCT
ap-7672	347	1	theoretical	theoretical	ADJ
ap-7672	347	2	and	and	CCONJ
ap-7672	347	3	mathematical	mathematical	ADJ
ap-7672	347	4	physics	physics	NOUN
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ap-7672	347	6	,	,	PUNCT
ap-7672	347	7	1994	1994	NUM
ap-7672	347	8	.	.	PUNCT
ap-7672	348	1	https://doi.org/10.1007/bf01035458	https://doi.org/10.1007/bf01035458	NOUN
ap-7672	348	2	.	.	PUNCT
ap-7672	349	1	[	[	X
ap-7672	349	2	29	29	NUM
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ap-7672	349	4	k.-h	k.-h	NOUN
ap-7672	349	5	.	.	PUNCT
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ap-7672	349	7	,	,	PUNCT
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ap-7672	349	9	l.	l.	PROPN
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ap-7672	349	11	.	.	PUNCT
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ap-7672	350	5	polynomials	polynomial	NOUN
ap-7672	350	6	.	.	PUNCT
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ap-7672	351	2	of	of	ADP
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ap-7672	351	4	korean	korean	PROPN
ap-7672	351	5	mathematical	mathematical	ADJ
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ap-7672	351	8	,	,	PUNCT
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ap-7672	351	10	.	.	PUNCT
ap-7672	352	1	[	[	X
ap-7672	352	2	30	30	NUM
ap-7672	352	3	]	]	X
ap-7672	352	4	n.	n.	PROPN
ap-7672	352	5	n.	n.	PROPN
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ap-7672	352	7	,	,	PUNCT
ap-7672	352	8	r.	r.	PROPN
ap-7672	352	9	a.	a.	PROPN
ap-7672	352	10	silverman	silverman	PROPN
ap-7672	352	11	.	.	PUNCT
ap-7672	353	1	special	special	ADJ
ap-7672	353	2	functions	function	NOUN
ap-7672	353	3	and	and	CCONJ
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ap-7672	353	5	applications	application	NOUN
ap-7672	353	6	.	.	PUNCT
ap-7672	354	1	physics	physics	NOUN
ap-7672	354	2	today	today	NOUN
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ap-7672	354	4	,	,	PUNCT
ap-7672	354	5	1965	1965	NUM
ap-7672	354	6	.	.	PUNCT
ap-7672	355	1	https://doi.org/10.1063/1.3047047	https://doi.org/10.1063/1.3047047	ADJ
ap-7672	355	2	.	.	PUNCT
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ap-7672	356	4	l.	l.	PROPN
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ap-7672	356	6	.	.	PUNCT
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ap-7672	358	6	,	,	PUNCT
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ap-7672	358	8	.	.	PUNCT
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ap-7672	359	2	.	.	PUNCT
ap-7672	360	1	[	[	X
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ap-7672	361	5	a	a	DET
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ap-7672	361	7	extension	extension	NOUN
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ap-7672	364	9	j.	j.	PROPN
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ap-7672	365	14	,	,	PUNCT
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ap-7672	365	16	.	.	PUNCT
ap-7672	366	1	https://doi.org/10.1088/0305-4470/37/43/022	https://doi.org/10.1088/0305-4470/37/43/022	NOUN
ap-7672	366	2	.	.	PUNCT
ap-7672	367	1	37	37	NUM
ap-7672	367	2	https://doi.org/10.1007/bf01035458	https://doi.org/10.1007/bf01035458	NOUN
ap-7672	367	3	https://doi.org/10.1063/1.3047047	https://doi.org/10.1063/1.3047047	ADJ
ap-7672	367	4	https://doi.org/10.4153/cjm-1959-018-4	https://doi.org/10.4153/cjm-1959-018-4	PROPN
ap-7672	367	5	https://doi.org/10.1063/1.4823771	https://doi.org/10.1063/1.4823771	PROPN
ap-7672	367	6	https://doi.org/10.1088/0305-4470/37/43/022	https://doi.org/10.1088/0305-4470/37/43/022	PROPN
ap-7672	367	7	acta	acta	PROPN
ap-7672	367	8	polytechnica	polytechnica	PROPN
ap-7672	367	9	62(1):30–37	62(1):30–37	PROPN
ap-7672	367	10	,	,	PUNCT
ap-7672	367	11	2022	2022	NUM
ap-7672	367	12	1	1	NUM
ap-7672	367	13	introduction	introduction	NOUN
ap-7672	367	14	2	2	NUM
ap-7672	367	15	supersymmetric	supersymmetric	ADJ
ap-7672	367	16	quantum	quantum	NOUN
ap-7672	367	17	mechanics	mechanic	NOUN
ap-7672	367	18	3	3	NUM
ap-7672	367	19	non	non	ADJ
ap-7672	367	20	-	-	ADJ
ap-7672	367	21	rational	rational	ADJ
ap-7672	367	22	extensions	extension	NOUN
ap-7672	367	23	of	of	ADP
ap-7672	367	24	the	the	DET
ap-7672	367	25	quantum	quantum	ADJ
ap-7672	367	26	harmonic	harmonic	NOUN
ap-7672	367	27	oscillator	oscillator	NOUN
ap-7672	367	28	and	and	CCONJ
ap-7672	367	29	their	their	PRON
ap-7672	367	30	ladder	ladder	NOUN
ap-7672	367	31	operators	operator	NOUN
ap-7672	367	32	3.1	3.1	NUM
ap-7672	367	33	first	first	ADJ
ap-7672	367	34	susy	susy	NOUN
ap-7672	367	35	transformation	transformation	NOUN
ap-7672	367	36	3.2	3.2	NUM
ap-7672	367	37	second	second	ADJ
ap-7672	367	38	but	but	CCONJ
ap-7672	367	39	equivalent	equivalent	ADJ
ap-7672	367	40	susy	susy	NOUN
ap-7672	367	41	transformation	transformation	NOUN
ap-7672	367	42	3.3	3.3	NUM
ap-7672	367	43	ladder	ladder	NOUN
ap-7672	367	44	operators	operator	NOUN
ap-7672	367	45	4	4	NUM
ap-7672	367	46	linearised	linearise	VERB
ap-7672	367	47	coherent	coherent	ADJ
ap-7672	367	48	states	state	NOUN
ap-7672	367	49	and	and	CCONJ
ap-7672	367	50	their	their	PRON
ap-7672	367	51	properties	property	NOUN
ap-7672	367	52	4.1	4.1	NUM
ap-7672	367	53	completeness	completeness	NOUN
ap-7672	367	54	relation	relation	NOUN
ap-7672	367	55	4.2	4.2	NUM
ap-7672	367	56	mean	mean	ADJ
ap-7672	367	57	-	-	PUNCT
ap-7672	367	58	energy	energy	NOUN
ap-7672	367	59	values	value	NOUN
ap-7672	367	60	4.3	4.3	NUM
ap-7672	367	61	temporal	temporal	ADJ
ap-7672	367	62	stability	stability	NOUN
ap-7672	367	63	4.4	4.4	NUM
ap-7672	367	64	evolution	evolution	NOUN
ap-7672	367	65	of	of	ADP
ap-7672	367	66	the	the	DET
ap-7672	367	67	probability	probability	NOUN
ap-7672	367	68	densities	densitie	VERB
ap-7672	367	69	4.5	4.5	NUM
ap-7672	367	70	wigner	wigner	NOUN
ap-7672	367	71	distributions	distribution	VERB
ap-7672	367	72	4.6	4.6	NUM
ap-7672	367	73	heisenberg	heisenberg	PROPN
ap-7672	367	74	uncertainty	uncertainty	NOUN
ap-7672	367	75	relation	relation	NOUN
ap-7672	367	76	5	5	NUM
ap-7672	367	77	conclusions	conclusion	NOUN
ap-7672	367	78	acknowledgements	acknowledgement	NOUN
ap-7672	367	79	references	reference	NOUN