id	sid	tid	token	lemma	pos
ap-7733	1	1	acta	acta	PROPN
ap-7733	1	2	polytechnica	polytechnica	PROPN
ap-7733	1	3	https://doi.org/10.14311/ap.2022.62.0090	https://doi.org/10.14311/ap.2022.62.0090	PROPN
ap-7733	1	4	acta	acta	PROPN
ap-7733	1	5	polytechnica	polytechnica	PROPN
ap-7733	1	6	62(1):90–99	62(1):90–99	NUM
ap-7733	1	7	,	,	PUNCT
ap-7733	1	8	2022	2022	NUM
ap-7733	1	9	©	©	ADP
ap-7733	1	10	2022	2022	NUM
ap-7733	1	11	the	the	DET
ap-7733	1	12	author(s	author(s	NOUN
ap-7733	1	13	)	)	PUNCT
ap-7733	1	14	.	.	PUNCT
ap-7733	2	1	licensed	license	VERB
ap-7733	2	2	under	under	ADP
ap-7733	2	3	a	a	DET
ap-7733	2	4	cc	cc	NOUN
ap-7733	2	5	-	-	PUNCT
ap-7733	2	6	by	by	ADP
ap-7733	2	7	4.0	4.0	NUM
ap-7733	2	8	licence	licence	NOUN
ap-7733	2	9	published	publish	VERB
ap-7733	2	10	by	by	ADP
ap-7733	2	11	the	the	DET
ap-7733	2	12	czech	czech	PROPN
ap-7733	2	13	technical	technical	PROPN
ap-7733	2	14	university	university	PROPN
ap-7733	2	15	in	in	ADP
ap-7733	2	16	prague	prague	PROPN
ap-7733	2	17	rational	rational	ADJ
ap-7733	2	18	extension	extension	NOUN
ap-7733	2	19	of	of	ADP
ap-7733	2	20	many	many	ADJ
ap-7733	2	21	particle	particle	NOUN
ap-7733	2	22	systems	system	NOUN
ap-7733	2	23	bhabani	bhabani	PROPN
ap-7733	2	24	prasad	prasad	PROPN
ap-7733	2	25	mandal	mandal	PROPN
ap-7733	2	26	banaras	banaras	PROPN
ap-7733	2	27	hindu	hindu	PROPN
ap-7733	2	28	university	university	PROPN
ap-7733	2	29	,	,	PUNCT
ap-7733	2	30	institute	institute	PROPN
ap-7733	2	31	of	of	ADP
ap-7733	2	32	science	science	PROPN
ap-7733	2	33	,	,	PUNCT
ap-7733	2	34	physics	physics	NOUN
ap-7733	2	35	department	department	PROPN
ap-7733	2	36	,	,	PUNCT
ap-7733	2	37	lanka	lanka	PROPN
ap-7733	2	38	,	,	PUNCT
ap-7733	2	39	221005	221005	NUM
ap-7733	2	40	–	–	PUNCT
ap-7733	2	41	varanasi	varanasi	NOUN
ap-7733	2	42	,	,	PUNCT
ap-7733	2	43	uttar	uttar	PROPN
ap-7733	2	44	pradesh	pradesh	PROPN
ap-7733	2	45	india	india	PROPN
ap-7733	2	46	correspondence	correspondence	PROPN
ap-7733	2	47	:	:	PUNCT
ap-7733	2	48	bhabani.mandal@gmail.com	bhabani.mandal@gmail.com	X
ap-7733	2	49	abstract	abstract	ADJ
ap-7733	2	50	.	.	PUNCT
ap-7733	3	1	in	in	ADP
ap-7733	3	2	this	this	DET
ap-7733	3	3	talk	talk	NOUN
ap-7733	3	4	,	,	PUNCT
ap-7733	3	5	we	we	PRON
ap-7733	3	6	briefly	briefly	ADV
ap-7733	3	7	review	review	VERB
ap-7733	3	8	the	the	DET
ap-7733	3	9	rational	rational	ADJ
ap-7733	3	10	extension	extension	NOUN
ap-7733	3	11	of	of	ADP
ap-7733	3	12	many	many	ADJ
ap-7733	3	13	particle	particle	NOUN
ap-7733	3	14	systems	system	NOUN
ap-7733	3	15	,	,	PUNCT
ap-7733	3	16	and	and	CCONJ
ap-7733	3	17	is	be	AUX
ap-7733	3	18	based	base	VERB
ap-7733	3	19	on	on	ADP
ap-7733	3	20	a	a	DET
ap-7733	3	21	couple	couple	NOUN
ap-7733	3	22	of	of	ADP
ap-7733	3	23	our	our	PRON
ap-7733	3	24	recent	recent	ADJ
ap-7733	3	25	works	work	NOUN
ap-7733	3	26	.	.	PUNCT
ap-7733	4	1	in	in	ADP
ap-7733	4	2	the	the	DET
ap-7733	4	3	first	first	ADJ
ap-7733	4	4	model	model	NOUN
ap-7733	4	5	,	,	PUNCT
ap-7733	4	6	the	the	DET
ap-7733	4	7	rational	rational	ADJ
ap-7733	4	8	extension	extension	NOUN
ap-7733	4	9	of	of	ADP
ap-7733	4	10	the	the	DET
ap-7733	4	11	truncated	truncated	ADJ
ap-7733	4	12	calogerosutherland	calogerosutherland	NOUN
ap-7733	4	13	(	(	PUNCT
ap-7733	4	14	tcs	tcs	NOUN
ap-7733	4	15	)	)	PUNCT
ap-7733	4	16	model	model	NOUN
ap-7733	4	17	is	be	AUX
ap-7733	4	18	discussed	discuss	VERB
ap-7733	4	19	analytically	analytically	ADV
ap-7733	4	20	.	.	PUNCT
ap-7733	5	1	the	the	DET
ap-7733	5	2	spectrum	spectrum	NOUN
ap-7733	5	3	is	be	AUX
ap-7733	5	4	isospectral	isospectral	ADJ
ap-7733	5	5	to	to	ADP
ap-7733	5	6	the	the	DET
ap-7733	5	7	original	original	ADJ
ap-7733	5	8	system	system	NOUN
ap-7733	5	9	and	and	CCONJ
ap-7733	5	10	the	the	DET
ap-7733	5	11	eigenfunctions	eigenfunction	NOUN
ap-7733	5	12	are	be	AUX
ap-7733	5	13	completely	completely	ADV
ap-7733	5	14	expressed	express	VERB
ap-7733	5	15	in	in	ADP
ap-7733	5	16	terms	term	NOUN
ap-7733	5	17	of	of	ADP
ap-7733	5	18	exceptional	exceptional	ADJ
ap-7733	5	19	orthogonal	orthogonal	ADJ
ap-7733	5	20	polynomials	polynomial	NOUN
ap-7733	5	21	(	(	PUNCT
ap-7733	5	22	eops	eop	NOUN
ap-7733	5	23	)	)	PUNCT
ap-7733	5	24	.	.	PUNCT
ap-7733	6	1	in	in	ADP
ap-7733	6	2	the	the	DET
ap-7733	6	3	second	second	ADJ
ap-7733	6	4	model	model	NOUN
ap-7733	6	5	,	,	PUNCT
ap-7733	6	6	we	we	PRON
ap-7733	6	7	discuss	discuss	VERB
ap-7733	6	8	the	the	DET
ap-7733	6	9	rational	rational	ADJ
ap-7733	6	10	extension	extension	NOUN
ap-7733	6	11	of	of	ADP
ap-7733	6	12	a	a	DET
ap-7733	6	13	quasi	quasi	NOUN
ap-7733	6	14	exactly	exactly	ADV
ap-7733	6	15	solvable	solvable	ADJ
ap-7733	6	16	(	(	PUNCT
ap-7733	6	17	qes	qes	NOUN
ap-7733	6	18	)	)	PUNCT
ap-7733	6	19	n	n	CCONJ
ap-7733	6	20	-	-	PUNCT
ap-7733	6	21	particle	particle	NOUN
ap-7733	6	22	calogero	calogero	PROPN
ap-7733	6	23	model	model	NOUN
ap-7733	6	24	with	with	ADP
ap-7733	6	25	harmonic	harmonic	ADJ
ap-7733	6	26	confining	confining	NOUN
ap-7733	6	27	interaction	interaction	NOUN
ap-7733	6	28	.	.	PUNCT
ap-7733	7	1	new	new	ADJ
ap-7733	7	2	long	long	ADJ
ap-7733	7	3	-	-	PUNCT
ap-7733	7	4	range	range	NOUN
ap-7733	7	5	interaction	interaction	NOUN
ap-7733	7	6	to	to	ADP
ap-7733	7	7	the	the	DET
ap-7733	7	8	rational	rational	ADJ
ap-7733	7	9	calogero	calogero	PROPN
ap-7733	7	10	model	model	NOUN
ap-7733	7	11	is	be	AUX
ap-7733	7	12	included	include	VERB
ap-7733	7	13	to	to	PART
ap-7733	7	14	construct	construct	VERB
ap-7733	7	15	this	this	DET
ap-7733	7	16	qes	qes	NOUN
ap-7733	7	17	many	many	ADJ
ap-7733	7	18	particle	particle	NOUN
ap-7733	7	19	system	system	NOUN
ap-7733	7	20	using	use	VERB
ap-7733	7	21	the	the	DET
ap-7733	7	22	technique	technique	NOUN
ap-7733	7	23	of	of	ADP
ap-7733	7	24	supersymmetric	supersymmetric	ADJ
ap-7733	7	25	quantum	quantum	ADJ
ap-7733	7	26	mechanics	mechanic	NOUN
ap-7733	7	27	(	(	PUNCT
ap-7733	7	28	susyqm	susyqm	PROPN
ap-7733	7	29	)	)	PUNCT
ap-7733	7	30	.	.	PUNCT
ap-7733	8	1	under	under	ADP
ap-7733	8	2	a	a	DET
ap-7733	8	3	specific	specific	ADJ
ap-7733	8	4	condition	condition	NOUN
ap-7733	8	5	,	,	PUNCT
ap-7733	8	6	infinite	infinite	ADJ
ap-7733	8	7	number	number	NOUN
ap-7733	8	8	of	of	ADP
ap-7733	8	9	bound	bind	VERB
ap-7733	8	10	states	state	NOUN
ap-7733	8	11	are	be	AUX
ap-7733	8	12	obtained	obtain	VERB
ap-7733	8	13	for	for	ADP
ap-7733	8	14	this	this	DET
ap-7733	8	15	system	system	NOUN
ap-7733	8	16	,	,	PUNCT
ap-7733	8	17	and	and	CCONJ
ap-7733	8	18	corresponding	corresponding	ADJ
ap-7733	8	19	bound	bind	VERB
ap-7733	8	20	state	state	NOUN
ap-7733	8	21	wave	wave	NOUN
ap-7733	8	22	functions	function	NOUN
ap-7733	8	23	are	be	AUX
ap-7733	8	24	written	write	VERB
ap-7733	8	25	in	in	ADP
ap-7733	8	26	terms	term	NOUN
ap-7733	8	27	of	of	ADP
ap-7733	8	28	eops	eop	NOUN
ap-7733	8	29	.	.	PUNCT
ap-7733	9	1	keywords	keyword	NOUN
ap-7733	9	2	:	:	PUNCT
ap-7733	9	3	exceptional	exceptional	ADJ
ap-7733	9	4	orthogonal	orthogonal	ADJ
ap-7733	9	5	polynomials	polynomial	NOUN
ap-7733	9	6	,	,	PUNCT
ap-7733	9	7	rational	rational	ADJ
ap-7733	9	8	extensions	extension	NOUN
ap-7733	9	9	,	,	PUNCT
ap-7733	9	10	many	many	ADJ
ap-7733	9	11	particle	particle	NOUN
ap-7733	9	12	systems	system	NOUN
ap-7733	9	13	,	,	PUNCT
ap-7733	9	14	susyqm	susyqm	VERB
ap-7733	9	15	.	.	PUNCT
ap-7733	10	1	1	1	X
ap-7733	10	2	.	.	X
ap-7733	10	3	introduction	introduction	NOUN
ap-7733	10	4	orthogonal	orthogonal	ADJ
ap-7733	10	5	polynomials	polynomial	NOUN
ap-7733	10	6	play	play	VERB
ap-7733	10	7	very	very	ADV
ap-7733	10	8	useful	useful	ADJ
ap-7733	10	9	and	and	CCONJ
ap-7733	10	10	important	important	ADJ
ap-7733	10	11	roles	role	NOUN
ap-7733	10	12	in	in	ADP
ap-7733	10	13	studying	study	VERB
ap-7733	10	14	physics	physic	NOUN
ap-7733	10	15	,	,	PUNCT
ap-7733	10	16	particularly	particularly	ADV
ap-7733	10	17	in	in	ADP
ap-7733	10	18	electrostatics	electrostatic	NOUN
ap-7733	10	19	and	and	CCONJ
ap-7733	10	20	in	in	ADP
ap-7733	10	21	quantum	quantum	ADJ
ap-7733	10	22	mechanics	mechanic	NOUN
ap-7733	10	23	.	.	PUNCT
ap-7733	11	1	in	in	ADP
ap-7733	11	2	quantum	quantum	ADJ
ap-7733	11	3	mechanics	mechanic	NOUN
ap-7733	11	4	,	,	PUNCT
ap-7733	11	5	only	only	ADV
ap-7733	11	6	a	a	DET
ap-7733	11	7	few	few	ADJ
ap-7733	11	8	of	of	ADP
ap-7733	11	9	the	the	DET
ap-7733	11	10	commonly	commonly	ADV
ap-7733	11	11	occuring	occur	VERB
ap-7733	11	12	bound	bind	VERB
ap-7733	11	13	states	state	NOUN
ap-7733	11	14	problems	problem	NOUN
ap-7733	11	15	,	,	PUNCT
ap-7733	11	16	which	which	PRON
ap-7733	11	17	have	have	VERB
ap-7733	11	18	a	a	DET
ap-7733	11	19	wide	wide	ADJ
ap-7733	11	20	range	range	NOUN
ap-7733	11	21	of	of	ADP
ap-7733	11	22	applications	application	NOUN
ap-7733	11	23	and/or	and/or	CCONJ
ap-7733	11	24	extensions	extension	NOUN
ap-7733	11	25	,	,	PUNCT
ap-7733	11	26	are	be	AUX
ap-7733	11	27	solvable	solvable	ADJ
ap-7733	11	28	.	.	PUNCT
ap-7733	12	1	such	such	ADJ
ap-7733	12	2	systems	system	NOUN
ap-7733	12	3	generally	generally	ADV
ap-7733	12	4	bring	bring	VERB
ap-7733	12	5	into	into	ADP
ap-7733	12	6	physics	physics	NOUN
ap-7733	12	7	a	a	DET
ap-7733	12	8	class	class	NOUN
ap-7733	12	9	of	of	ADP
ap-7733	12	10	orthogonal	orthogonal	ADJ
ap-7733	12	11	polynomials.these	polynomials.these	DET
ap-7733	12	12	classical	classical	ADJ
ap-7733	12	13	orthogonal	orthogonal	ADJ
ap-7733	12	14	polynomials	polynomial	NOUN
ap-7733	12	15	have	have	VERB
ap-7733	12	16	many	many	ADJ
ap-7733	12	17	properties	property	NOUN
ap-7733	12	18	common	common	ADJ
ap-7733	12	19	,	,	PUNCT
ap-7733	12	20	such	such	ADJ
ap-7733	12	21	as	as	ADP
ap-7733	12	22	(	(	PUNCT
ap-7733	12	23	i	i	NOUN
ap-7733	12	24	)	)	PUNCT
ap-7733	12	25	each	each	PRON
ap-7733	12	26	constitutes	constitute	VERB
ap-7733	12	27	orthogonal	orthogonal	ADJ
ap-7733	12	28	polynomials	polynomial	NOUN
ap-7733	12	29	of	of	ADP
ap-7733	12	30	successive	successive	ADJ
ap-7733	12	31	increasing	increase	VERB
ap-7733	12	32	degree	degree	NOUN
ap-7733	12	33	starting	start	VERB
ap-7733	12	34	from	from	ADP
ap-7733	12	35	m	m	PROPN
ap-7733	12	36	=	=	SYM
ap-7733	12	37	0	0	NUM
ap-7733	12	38	,	,	PUNCT
ap-7733	12	39	(	(	PUNCT
ap-7733	12	40	ii	ii	NOUN
ap-7733	12	41	)	)	PUNCT
ap-7733	12	42	each	each	PRON
ap-7733	12	43	satisfy	satisfy	VERB
ap-7733	12	44	a	a	DET
ap-7733	12	45	second	second	ADJ
ap-7733	12	46	order	order	NOUN
ap-7733	12	47	homogeneous	homogeneous	ADJ
ap-7733	12	48	differential	differential	ADJ
ap-7733	12	49	equations	equation	NOUN
ap-7733	12	50	,	,	PUNCT
ap-7733	12	51	(	(	PUNCT
ap-7733	12	52	iii	iii	X
ap-7733	12	53	)	)	PUNCT
ap-7733	12	54	they	they	PRON
ap-7733	12	55	satisfy	satisfy	VERB
ap-7733	12	56	orthogonality	orthogonality	ADV
ap-7733	12	57	over	over	ADP
ap-7733	12	58	a	a	DET
ap-7733	12	59	certain	certain	ADJ
ap-7733	12	60	interval	interval	NOUN
ap-7733	12	61	and	and	CCONJ
ap-7733	12	62	with	with	ADP
ap-7733	12	63	a	a	DET
ap-7733	12	64	certain	certain	ADJ
ap-7733	12	65	non	non	ADJ
ap-7733	12	66	-	-	ADJ
ap-7733	12	67	negative	negative	ADJ
ap-7733	12	68	weight	weight	NOUN
ap-7733	12	69	function	function	NOUN
ap-7733	12	70	,	,	PUNCT
ap-7733	12	71	etc	etc	X
ap-7733	12	72	.	.	X
ap-7733	13	1	in	in	ADP
ap-7733	13	2	2009	2009	NUM
ap-7733	13	3	,	,	PUNCT
ap-7733	13	4	new	new	ADJ
ap-7733	13	5	families	family	NOUN
ap-7733	13	6	of	of	ADP
ap-7733	13	7	orthogonal	orthogonal	ADJ
ap-7733	13	8	polynomials	polynomial	NOUN
ap-7733	13	9	(	(	PUNCT
ap-7733	13	10	known	know	VERB
ap-7733	13	11	as	as	ADP
ap-7733	13	12	exceptional	exceptional	ADJ
ap-7733	13	13	orthogonal	orthogonal	ADJ
ap-7733	13	14	polynomials	polynomial	NOUN
ap-7733	13	15	(	(	PUNCT
ap-7733	13	16	eop	eop	PROPN
ap-7733	13	17	)	)	PUNCT
ap-7733	13	18	)	)	PUNCT
ap-7733	13	19	related	relate	VERB
ap-7733	13	20	to	to	ADP
ap-7733	13	21	some	some	PRON
ap-7733	13	22	of	of	ADP
ap-7733	13	23	the	the	DET
ap-7733	13	24	old	old	ADJ
ap-7733	13	25	classical	classical	ADJ
ap-7733	13	26	orthogonal	orthogonal	ADJ
ap-7733	13	27	polynomials	polynomial	NOUN
ap-7733	13	28	were	be	AUX
ap-7733	13	29	discovered	discover	VERB
ap-7733	13	30	[	[	X
ap-7733	13	31	1–3	1–3	NOUN
ap-7733	13	32	]	]	X
ap-7733	13	33	.	.	PUNCT
ap-7733	14	1	unlike	unlike	ADP
ap-7733	14	2	the	the	DET
ap-7733	14	3	usual	usual	ADJ
ap-7733	14	4	classical	classical	ADJ
ap-7733	14	5	orthogonal	orthogonal	ADJ
ap-7733	14	6	polynomials	polynomial	NOUN
ap-7733	14	7	,	,	PUNCT
ap-7733	14	8	these	these	DET
ap-7733	14	9	eops	eop	NOUN
ap-7733	14	10	start	start	VERB
ap-7733	14	11	with	with	ADP
ap-7733	14	12	degree	degree	NOUN
ap-7733	14	13	m	m	NOUN
ap-7733	14	14	=	=	SYM
ap-7733	14	15	1	1	NUM
ap-7733	14	16	or	or	CCONJ
ap-7733	14	17	higher	high	ADJ
ap-7733	14	18	integer	integer	NOUN
ap-7733	14	19	values	value	NOUN
ap-7733	14	20	and	and	CCONJ
ap-7733	14	21	still	still	ADV
ap-7733	14	22	form	form	VERB
ap-7733	14	23	a	a	DET
ap-7733	14	24	complete	complete	ADJ
ap-7733	14	25	orthonormal	orthonormal	ADJ
ap-7733	14	26	set	set	NOUN
ap-7733	14	27	with	with	ADP
ap-7733	14	28	respect	respect	NOUN
ap-7733	14	29	to	to	ADP
ap-7733	14	30	a	a	DET
ap-7733	14	31	positive	positive	ADJ
ap-7733	14	32	definite	definite	ADJ
ap-7733	14	33	inner	inner	ADJ
ap-7733	14	34	product	product	NOUN
ap-7733	14	35	defined	define	VERB
ap-7733	14	36	over	over	ADP
ap-7733	14	37	a	a	DET
ap-7733	14	38	compact	compact	ADJ
ap-7733	14	39	interval	interval	NOUN
ap-7733	14	40	.	.	PUNCT
ap-7733	15	1	two	two	NUM
ap-7733	15	2	of	of	ADP
ap-7733	15	3	the	the	DET
ap-7733	15	4	well	well	ADV
ap-7733	15	5	known	know	VERB
ap-7733	15	6	classical	classical	ADJ
ap-7733	15	7	orthogonal	orthogonal	ADJ
ap-7733	15	8	polynomials	polynomial	NOUN
ap-7733	15	9	,	,	PUNCT
ap-7733	15	10	namely	namely	ADV
ap-7733	15	11	laguerre	laguerre	NOUN
ap-7733	15	12	orthogonal	orthogonal	ADJ
ap-7733	15	13	polynomials	polynomial	NOUN
ap-7733	15	14	and	and	CCONJ
ap-7733	15	15	jacobi	jacobi	PROPN
ap-7733	15	16	orthogonal	orthogonal	ADJ
ap-7733	15	17	polynomials	polynomial	NOUN
ap-7733	15	18	,	,	PUNCT
ap-7733	15	19	have	have	AUX
ap-7733	15	20	been	be	AUX
ap-7733	15	21	extended	extend	VERB
ap-7733	15	22	to	to	ADP
ap-7733	15	23	eops	eop	NOUN
ap-7733	15	24	category	category	NOUN
ap-7733	15	25	.	.	PUNCT
ap-7733	16	1	xm	xm	PROPN
ap-7733	16	2	laguerre	laguerre	PROPN
ap-7733	16	3	(	(	PUNCT
ap-7733	16	4	jocobi	jocobi	PROPN
ap-7733	16	5	)	)	PUNCT
ap-7733	16	6	eop	eop	PROPN
ap-7733	16	7	means	mean	VERB
ap-7733	16	8	the	the	DET
ap-7733	16	9	complete	complete	ADJ
ap-7733	16	10	set	set	NOUN
ap-7733	16	11	of	of	ADP
ap-7733	16	12	laguerre	laguerre	NOUN
ap-7733	16	13	(	(	PUNCT
ap-7733	16	14	jacobi	jacobi	PROPN
ap-7733	16	15	)	)	PUNCT
ap-7733	16	16	orthogonal	orthogonal	ADJ
ap-7733	16	17	polynomials	polynomial	NOUN
ap-7733	16	18	with	with	ADP
ap-7733	16	19	degree	degree	NOUN
ap-7733	16	20	≥	≥	NOUN
ap-7733	16	21	m.	m.	NOUN
ap-7733	16	22	m	m	VERB
ap-7733	16	23	is	be	AUX
ap-7733	16	24	positive	positive	ADJ
ap-7733	16	25	integer	integer	NOUN
ap-7733	16	26	and	and	CCONJ
ap-7733	16	27	can	can	AUX
ap-7733	16	28	have	have	VERB
ap-7733	16	29	values	value	NOUN
ap-7733	16	30	of	of	ADP
ap-7733	16	31	1	1	NUM
ap-7733	16	32	,	,	PUNCT
ap-7733	16	33	2	2	NUM
ap-7733	16	34	,	,	PUNCT
ap-7733	16	35	3	3	NUM
ap-7733	16	36	,	,	PUNCT
ap-7733	16	37	.	.	PUNCT
ap-7733	16	38	.	.	PUNCT
ap-7733	16	39	.	.	PUNCT
ap-7733	17	1	attempts	attempt	NOUN
ap-7733	17	2	were	be	AUX
ap-7733	17	3	made	make	VERB
ap-7733	17	4	to	to	PART
ap-7733	17	5	also	also	ADV
ap-7733	17	6	extend	extend	VERB
ap-7733	17	7	the	the	DET
ap-7733	17	8	classical	classical	ADJ
ap-7733	17	9	hermite	hermite	ADJ
ap-7733	17	10	polynomials	polynomial	NOUN
ap-7733	17	11	[	[	X
ap-7733	17	12	4	4	NUM
ap-7733	17	13	]	]	PUNCT
ap-7733	17	14	.	.	PUNCT
ap-7733	18	1	soon	soon	ADV
ap-7733	18	2	after	after	ADP
ap-7733	18	3	this	this	DET
ap-7733	18	4	remarkable	remarkable	ADJ
ap-7733	18	5	discovery	discovery	NOUN
ap-7733	18	6	,	,	PUNCT
ap-7733	18	7	the	the	DET
ap-7733	18	8	connection	connection	NOUN
ap-7733	18	9	of	of	ADP
ap-7733	18	10	eops	eop	NOUN
ap-7733	18	11	with	with	ADP
ap-7733	18	12	the	the	DET
ap-7733	18	13	translationally	translationally	ADJ
ap-7733	18	14	shape	shape	NOUN
ap-7733	18	15	invariant	invariant	ADJ
ap-7733	18	16	potential	potential	NOUN
ap-7733	18	17	were	be	AUX
ap-7733	18	18	established	establish	VERB
ap-7733	18	19	[	[	X
ap-7733	18	20	5–9	5–9	X
ap-7733	18	21	]	]	PUNCT
ap-7733	18	22	.	.	PUNCT
ap-7733	19	1	the	the	DET
ap-7733	19	2	list	list	NOUN
ap-7733	19	3	of	of	ADP
ap-7733	19	4	exactly	exactly	ADV
ap-7733	19	5	solvable	solvable	ADJ
ap-7733	19	6	quantum	quantum	ADJ
ap-7733	19	7	mechanical	mechanical	ADJ
ap-7733	19	8	systems	system	NOUN
ap-7733	19	9	is	be	AUX
ap-7733	19	10	enlarged	enlarge	VERB
ap-7733	19	11	and	and	CCONJ
ap-7733	19	12	the	the	DET
ap-7733	19	13	wave	wave	NOUN
ap-7733	19	14	functions	function	NOUN
ap-7733	19	15	for	for	ADP
ap-7733	19	16	the	the	DET
ap-7733	19	17	newly	newly	ADV
ap-7733	19	18	obtained	obtain	VERB
ap-7733	19	19	exactly	exactly	ADV
ap-7733	19	20	solvable	solvable	ADJ
ap-7733	19	21	systems	system	NOUN
ap-7733	19	22	are	be	AUX
ap-7733	19	23	written	write	VERB
ap-7733	19	24	in	in	ADP
ap-7733	19	25	terms	term	NOUN
ap-7733	19	26	of	of	ADP
ap-7733	19	27	eops	eop	NOUN
ap-7733	19	28	.	.	PUNCT
ap-7733	20	1	such	such	ADJ
ap-7733	20	2	systems	system	NOUN
ap-7733	20	3	are	be	AUX
ap-7733	20	4	known	know	VERB
ap-7733	20	5	as	as	ADP
ap-7733	20	6	rational	rational	ADJ
ap-7733	20	7	extension	extension	NOUN
ap-7733	20	8	of	of	ADP
ap-7733	20	9	the	the	DET
ap-7733	20	10	original	original	ADJ
ap-7733	20	11	systems	system	NOUN
ap-7733	20	12	.	.	PUNCT
ap-7733	21	1	the	the	DET
ap-7733	21	2	study	study	NOUN
ap-7733	21	3	for	for	ADP
ap-7733	21	4	the	the	DET
ap-7733	21	5	exactly	exactly	ADV
ap-7733	21	6	solvable	solvable	ADJ
ap-7733	21	7	potentials	potential	NOUN
ap-7733	21	8	has	have	AUX
ap-7733	21	9	been	be	AUX
ap-7733	21	10	boosted	boost	VERB
ap-7733	21	11	greatly	greatly	ADV
ap-7733	21	12	due	due	ADP
ap-7733	21	13	to	to	ADP
ap-7733	21	14	this	this	DET
ap-7733	21	15	discovery	discovery	NOUN
ap-7733	21	16	of	of	ADP
ap-7733	21	17	eops	eop	NOUN
ap-7733	21	18	over	over	ADP
ap-7733	21	19	the	the	DET
ap-7733	21	20	past	past	ADJ
ap-7733	21	21	decade	decade	NOUN
ap-7733	21	22	[	[	X
ap-7733	21	23	10–37	10–37	NUM
ap-7733	21	24	]	]	PUNCT
ap-7733	21	25	.	.	PUNCT
ap-7733	22	1	there	there	PRON
ap-7733	22	2	are	be	VERB
ap-7733	22	3	several	several	ADJ
ap-7733	22	4	commonly	commonly	ADV
ap-7733	22	5	used	use	VERB
ap-7733	22	6	approaches	approach	NOUN
ap-7733	22	7	to	to	PART
ap-7733	22	8	build	build	VERB
ap-7733	22	9	the	the	DET
ap-7733	22	10	rationally	rationally	ADV
ap-7733	22	11	extended	extended	ADJ
ap-7733	22	12	models	model	NOUN
ap-7733	22	13	,	,	PUNCT
ap-7733	22	14	such	such	ADJ
ap-7733	22	15	as	as	ADP
ap-7733	22	16	susyqm	susyqm	ADJ
ap-7733	22	17	approach	approach	NOUN
ap-7733	22	18	[	[	X
ap-7733	22	19	38	38	NUM
ap-7733	22	20	,	,	PUNCT
ap-7733	22	21	39	39	NUM
ap-7733	22	22	]	]	PUNCT
ap-7733	22	23	,	,	PUNCT
ap-7733	22	24	point	point	VERB
ap-7733	22	25	canonical	canonical	ADJ
ap-7733	22	26	transformation	transformation	NOUN
ap-7733	22	27	approach	approach	NOUN
ap-7733	22	28	[	[	X
ap-7733	22	29	40	40	NUM
ap-7733	22	30	,	,	PUNCT
ap-7733	22	31	41	41	NUM
ap-7733	22	32	]	]	PUNCT
ap-7733	22	33	,	,	PUNCT
ap-7733	22	34	darboux	darboux	VERB
ap-7733	22	35	-	-	PUNCT
ap-7733	22	36	crum	crum	NOUN
ap-7733	22	37	transformation	transformation	NOUN
ap-7733	22	38	approach	approach	NOUN
ap-7733	22	39	[	[	X
ap-7733	22	40	42	42	NUM
ap-7733	22	41	,	,	PUNCT
ap-7733	22	42	43	43	NUM
ap-7733	22	43	]	]	PUNCT
ap-7733	22	44	,	,	PUNCT
ap-7733	22	45	group	group	NOUN
ap-7733	22	46	theoretical	theoretical	ADJ
ap-7733	22	47	approach	approach	NOUN
ap-7733	22	48	[	[	X
ap-7733	22	49	44	44	NUM
ap-7733	22	50	]	]	PUNCT
ap-7733	22	51	,	,	PUNCT
ap-7733	22	52	etc	etc	X
ap-7733	22	53	.	.	X
ap-7733	23	1	these	these	DET
ap-7733	23	2	approaches	approach	NOUN
ap-7733	23	3	have	have	AUX
ap-7733	23	4	been	be	AUX
ap-7733	23	5	used	use	VERB
ap-7733	23	6	to	to	PART
ap-7733	23	7	study	study	VERB
ap-7733	23	8	different	different	ADJ
ap-7733	23	9	problems	problem	NOUN
ap-7733	23	10	in	in	ADP
ap-7733	23	11	this	this	DET
ap-7733	23	12	field	field	NOUN
ap-7733	23	13	leading	lead	VERB
ap-7733	23	14	to	to	ADP
ap-7733	23	15	a	a	DET
ap-7733	23	16	discovery	discovery	NOUN
ap-7733	23	17	of	of	ADP
ap-7733	23	18	a	a	DET
ap-7733	23	19	large	large	ADJ
ap-7733	23	20	number	number	NOUN
ap-7733	23	21	of	of	ADP
ap-7733	23	22	new	new	ADJ
ap-7733	23	23	exactly	exactly	ADV
ap-7733	23	24	solvable	solvable	ADJ
ap-7733	23	25	systems	system	NOUN
ap-7733	23	26	,	,	PUNCT
ap-7733	23	27	which	which	PRON
ap-7733	23	28	are	be	AUX
ap-7733	23	29	isospectral	isospectral	ADJ
ap-7733	23	30	to	to	ADP
ap-7733	23	31	the	the	DET
ap-7733	23	32	original	original	ADJ
ap-7733	23	33	system	system	NOUN
ap-7733	23	34	and	and	CCONJ
ap-7733	23	35	the	the	DET
ap-7733	23	36	eigenfunctions	eigenfunction	NOUN
ap-7733	23	37	are	be	AUX
ap-7733	23	38	written	write	VERB
ap-7733	23	39	in	in	ADP
ap-7733	23	40	terms	term	NOUN
ap-7733	23	41	of	of	ADP
ap-7733	23	42	eops	eop	NOUN
ap-7733	23	43	.	.	PUNCT
ap-7733	24	1	further	far	ADV
ap-7733	24	2	,	,	PUNCT
ap-7733	24	3	quasi	quasi	ADJ
ap-7733	24	4	-	-	ADJ
ap-7733	24	5	exactly	exactly	ADV
ap-7733	24	6	solvable	solvable	ADJ
ap-7733	24	7	(	(	PUNCT
ap-7733	24	8	qes	qes	NOUN
ap-7733	24	9	)	)	PUNCT
ap-7733	24	10	systems	system	NOUN
ap-7733	25	1	[	[	X
ap-7733	25	2	45–49	45–49	X
ap-7733	25	3	]	]	PUNCT
ap-7733	25	4	and	and	CCONJ
ap-7733	25	5	conditionally	conditionally	ADV
ap-7733	25	6	exactly	exactly	ADV
ap-7733	25	7	solvable	solvable	ADJ
ap-7733	25	8	(	(	PUNCT
ap-7733	25	9	ces	ce	NOUN
ap-7733	25	10	)	)	PUNCT
ap-7733	25	11	systems	system	NOUN
ap-7733	26	1	[	[	X
ap-7733	26	2	50	50	NUM
ap-7733	26	3	,	,	PUNCT
ap-7733	26	4	51	51	NUM
ap-7733	26	5	]	]	PUNCT
ap-7733	26	6	attracted	attract	VERB
ap-7733	26	7	attention	attention	NOUN
ap-7733	26	8	in	in	ADP
ap-7733	26	9	literature	literature	NOUN
ap-7733	26	10	due	due	ADP
ap-7733	26	11	to	to	ADP
ap-7733	26	12	the	the	DET
ap-7733	26	13	lack	lack	NOUN
ap-7733	26	14	of	of	ADP
ap-7733	26	15	many	many	ADJ
ap-7733	26	16	exactly	exactly	ADV
ap-7733	26	17	solvable	solvable	ADJ
ap-7733	26	18	systems	system	NOUN
ap-7733	26	19	.	.	PUNCT
ap-7733	27	1	several	several	ADJ
ap-7733	27	2	works	work	NOUN
ap-7733	27	3	have	have	AUX
ap-7733	27	4	been	be	AUX
ap-7733	27	5	devoted	devote	VERB
ap-7733	27	6	to	to	ADP
ap-7733	27	7	the	the	DET
ap-7733	27	8	rational	rational	ADJ
ap-7733	27	9	extension	extension	NOUN
ap-7733	27	10	of	of	ADP
ap-7733	27	11	these	these	DET
ap-7733	27	12	qes/	qes/	ADJ
ap-7733	27	13	ces	ce	NOUN
ap-7733	27	14	systems	system	NOUN
ap-7733	27	15	[	[	X
ap-7733	27	16	22	22	NUM
ap-7733	27	17	,	,	PUNCT
ap-7733	27	18	24	24	NUM
ap-7733	27	19	,	,	PUNCT
ap-7733	27	20	37	37	NUM
ap-7733	27	21	]	]	PUNCT
ap-7733	27	22	.	.	PUNCT
ap-7733	28	1	nowadays	nowadays	ADV
ap-7733	28	2	,	,	PUNCT
ap-7733	28	3	the	the	DET
ap-7733	28	4	parity	parity	NOUN
ap-7733	28	5	time	time	NOUN
ap-7733	28	6	reversal	reversal	NOUN
ap-7733	28	7	(	(	PUNCT
ap-7733	28	8	pt	pt	NOUN
ap-7733	28	9	)	)	PUNCT
ap-7733	28	10	symmetric	symmetric	ADJ
ap-7733	28	11	non	non	ADJ
ap-7733	28	12	-	-	ADJ
ap-7733	28	13	hermitian	hermitian	ADJ
ap-7733	28	14	systems	system	NOUN
ap-7733	28	15	[	[	X
ap-7733	28	16	52–62	52–62	NUM
ap-7733	28	17	]	]	PUNCT
ap-7733	28	18	are	be	AUX
ap-7733	28	19	among	among	ADP
ap-7733	28	20	the	the	DET
ap-7733	28	21	exciting	exciting	ADJ
ap-7733	28	22	frontier	frontier	NOUN
ap-7733	28	23	research	research	NOUN
ap-7733	28	24	areas	area	NOUN
ap-7733	28	25	.	.	PUNCT
ap-7733	29	1	rational	rational	ADJ
ap-7733	29	2	extensions	extension	NOUN
ap-7733	29	3	have	have	AUX
ap-7733	29	4	also	also	ADV
ap-7733	29	5	been	be	AUX
ap-7733	29	6	carried	carry	VERB
ap-7733	29	7	out	out	ADP
ap-7733	29	8	for	for	ADP
ap-7733	29	9	non	non	ADJ
ap-7733	29	10	-	-	ADJ
ap-7733	29	11	hermitian	hermitian	ADJ
ap-7733	29	12	systems	system	NOUN
ap-7733	29	13	[	[	X
ap-7733	29	14	6	6	NUM
ap-7733	29	15	,	,	PUNCT
ap-7733	29	16	19	19	NUM
ap-7733	29	17	,	,	PUNCT
ap-7733	29	18	29–32	29–32	NUM
ap-7733	29	19	]	]	PUNCT
ap-7733	29	20	.	.	PUNCT
ap-7733	30	1	even	even	ADV
ap-7733	30	2	though	though	SCONJ
ap-7733	30	3	most	most	ADJ
ap-7733	30	4	of	of	ADP
ap-7733	30	5	the	the	DET
ap-7733	30	6	rational	rational	ADJ
ap-7733	30	7	extensions	extension	NOUN
ap-7733	30	8	are	be	AUX
ap-7733	30	9	for	for	ADP
ap-7733	30	10	the	the	DET
ap-7733	30	11	one	one	NUM
ap-7733	30	12	dimensional	dimensional	ADJ
ap-7733	30	13	and/or	and/or	CCONJ
ap-7733	30	14	one	one	NUM
ap-7733	30	15	particle	particle	NOUN
ap-7733	30	16	exactly	exactly	ADV
ap-7733	30	17	solvable	solvable	ADJ
ap-7733	30	18	systems	system	NOUN
ap-7733	30	19	,	,	PUNCT
ap-7733	30	20	the	the	DET
ap-7733	30	21	research	research	NOUN
ap-7733	30	22	in	in	ADP
ap-7733	30	23	this	this	DET
ap-7733	30	24	field	field	NOUN
ap-7733	30	25	has	have	AUX
ap-7733	30	26	also	also	ADV
ap-7733	30	27	been	be	AUX
ap-7733	30	28	extended	extend	VERB
ap-7733	30	29	to	to	ADP
ap-7733	30	30	many	many	ADJ
ap-7733	30	31	particle	particle	NOUN
ap-7733	30	32	systems	system	NOUN
ap-7733	30	33	[	[	X
ap-7733	30	34	24	24	NUM
ap-7733	30	35	,	,	PUNCT
ap-7733	30	36	25	25	NUM
ap-7733	30	37	,	,	PUNCT
ap-7733	30	38	27	27	NUM
ap-7733	30	39	]	]	PUNCT
ap-7733	30	40	.	.	PUNCT
ap-7733	31	1	we	we	PRON
ap-7733	31	2	have	have	AUX
ap-7733	31	3	done	do	VERB
ap-7733	31	4	several	several	ADJ
ap-7733	31	5	works	work	NOUN
ap-7733	31	6	on	on	ADP
ap-7733	31	7	rational	rational	ADJ
ap-7733	31	8	extensions	extension	NOUN
ap-7733	31	9	for	for	ADP
ap-7733	31	10	many	many	ADJ
ap-7733	31	11	particle	particle	NOUN
ap-7733	31	12	systems	system	NOUN
ap-7733	31	13	.	.	PUNCT
ap-7733	32	1	in	in	ADP
ap-7733	32	2	one	one	NUM
ap-7733	32	3	of	of	ADP
ap-7733	32	4	the	the	DET
ap-7733	32	5	works	work	NOUN
ap-7733	32	6	,	,	PUNCT
ap-7733	32	7	the	the	DET
ap-7733	32	8	well	well	ADV
ap-7733	32	9	known	know	VERB
ap-7733	32	10	calogero	calogero	PROPN
ap-7733	32	11	-	-	PUNCT
ap-7733	32	12	wolfes	wolfe	NOUN
ap-7733	32	13	type	type	VERB
ap-7733	32	14	3	3	NUM
ap-7733	32	15	-	-	PUNCT
ap-7733	32	16	body	body	NOUN
ap-7733	32	17	problem	problem	NOUN
ap-7733	32	18	on	on	ADP
ap-7733	32	19	a	a	DET
ap-7733	32	20	line	line	NOUN
ap-7733	32	21	was	be	AUX
ap-7733	32	22	extended	extend	VERB
ap-7733	32	23	rationally	rationally	ADV
ap-7733	32	24	to	to	PART
ap-7733	32	25	show	show	VERB
ap-7733	32	26	that	that	SCONJ
ap-7733	32	27	exactly	exactly	ADV
ap-7733	32	28	solvable	solvable	ADJ
ap-7733	32	29	wave	wave	NOUN
ap-7733	32	30	functions	function	NOUN
ap-7733	32	31	are	be	AUX
ap-7733	32	32	written	write	VERB
ap-7733	32	33	in	in	ADP
ap-7733	32	34	terms	term	NOUN
ap-7733	32	35	of	of	ADP
ap-7733	32	36	xm	xm	PROPN
ap-7733	32	37	laguerre	laguerre	NOUN
ap-7733	32	38	and	and	CCONJ
ap-7733	32	39	xm	xm	PROPN
ap-7733	32	40	jacobi	jacobi	PROPN
ap-7733	32	41	eops	eop	VERB
ap-7733	32	42	[	[	X
ap-7733	32	43	26	26	NUM
ap-7733	32	44	]	]	PUNCT
ap-7733	32	45	.	.	PUNCT
ap-7733	33	1	however	however	ADV
ap-7733	33	2	,	,	PUNCT
ap-7733	33	3	this	this	DET
ap-7733	33	4	article	article	NOUN
ap-7733	33	5	is	be	AUX
ap-7733	33	6	based	base	VERB
ap-7733	33	7	on	on	ADP
ap-7733	33	8	two	two	NUM
ap-7733	33	9	of	of	ADP
ap-7733	33	10	our	our	PRON
ap-7733	33	11	earlier	early	ADJ
ap-7733	33	12	works	work	NOUN
ap-7733	33	13	on	on	ADP
ap-7733	33	14	rational	rational	ADJ
ap-7733	33	15	extension	extension	NOUN
ap-7733	33	16	of	of	ADP
ap-7733	33	17	many	many	ADJ
ap-7733	33	18	particle	particle	NOUN
ap-7733	33	19	systems	system	NOUN
ap-7733	33	20	[	[	X
ap-7733	33	21	24	24	NUM
ap-7733	33	22	,	,	PUNCT
ap-7733	33	23	25	25	NUM
ap-7733	33	24	]	]	PUNCT
ap-7733	33	25	,	,	PUNCT
ap-7733	33	26	which	which	PRON
ap-7733	33	27	90	90	NUM
ap-7733	33	28	https://doi.org/10.14311/ap.2022.62.0090	https://doi.org/10.14311/ap.2022.62.0090	PRON
ap-7733	33	29	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-7733	33	30	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-7733	33	31	vol	vol	NOUN
ap-7733	33	32	.	.	PROPN
ap-7733	34	1	62	62	NUM
ap-7733	34	2	no	no	INTJ
ap-7733	34	3	.	.	PUNCT
ap-7733	35	1	1/2022	1/2022	NUM
ap-7733	35	2	rational	rational	ADJ
ap-7733	35	3	extension	extension	NOUN
ap-7733	35	4	of	of	ADP
ap-7733	35	5	many	many	ADJ
ap-7733	35	6	particle	particle	NOUN
ap-7733	35	7	systems	system	NOUN
ap-7733	35	8	were	be	AUX
ap-7733	35	9	central	central	ADJ
ap-7733	35	10	to	to	ADP
ap-7733	35	11	the	the	DET
ap-7733	35	12	talk	talk	NOUN
ap-7733	35	13	presented	present	VERB
ap-7733	35	14	during	during	ADP
ap-7733	35	15	the	the	DET
ap-7733	35	16	aamp	aamp	ADJ
ap-7733	35	17	meeting	meeting	NOUN
ap-7733	35	18	.	.	PUNCT
ap-7733	36	1	in	in	ADP
ap-7733	36	2	the	the	DET
ap-7733	36	3	first	first	ADJ
ap-7733	36	4	work	work	NOUN
ap-7733	36	5	[	[	X
ap-7733	36	6	25	25	NUM
ap-7733	36	7	]	]	PUNCT
ap-7733	36	8	,	,	PUNCT
ap-7733	36	9	we	we	PRON
ap-7733	36	10	discuss	discuss	VERB
ap-7733	36	11	the	the	DET
ap-7733	36	12	rational	rational	ADJ
ap-7733	36	13	extension	extension	NOUN
ap-7733	36	14	of	of	ADP
ap-7733	36	15	the	the	DET
ap-7733	36	16	truncated	truncate	VERB
ap-7733	36	17	calogero	calogero	PROPN
ap-7733	36	18	-	-	PUNCT
ap-7733	36	19	sutherland	sutherland	PROPN
ap-7733	36	20	model	model	NOUN
ap-7733	36	21	using	use	VERB
ap-7733	36	22	a	a	DET
ap-7733	36	23	pct	pct	NOUN
ap-7733	36	24	approach	approach	NOUN
ap-7733	36	25	.	.	PUNCT
ap-7733	37	1	we	we	PRON
ap-7733	37	2	indicate	indicate	VERB
ap-7733	37	3	how	how	SCONJ
ap-7733	37	4	to	to	PART
ap-7733	37	5	obtain	obtain	VERB
ap-7733	37	6	rationally	rationally	ADV
ap-7733	37	7	extended	extended	ADJ
ap-7733	37	8	solutions	solution	NOUN
ap-7733	37	9	,	,	PUNCT
ap-7733	37	10	which	which	PRON
ap-7733	37	11	are	be	AUX
ap-7733	37	12	isospectral	isospectral	ADJ
ap-7733	37	13	to	to	ADP
ap-7733	37	14	the	the	DET
ap-7733	37	15	original	original	ADJ
ap-7733	37	16	system	system	NOUN
ap-7733	37	17	in	in	ADP
ap-7733	37	18	terms	term	NOUN
ap-7733	37	19	of	of	ADP
ap-7733	37	20	xm	xm	PROPN
ap-7733	37	21	laguerre	laguerre	PROPN
ap-7733	37	22	eops	eop	NOUN
ap-7733	37	23	.	.	PUNCT
ap-7733	38	1	in	in	ADP
ap-7733	38	2	the	the	DET
ap-7733	38	3	second	second	ADJ
ap-7733	38	4	model	model	NOUN
ap-7733	38	5	[	[	X
ap-7733	38	6	24	24	NUM
ap-7733	38	7	]	]	PUNCT
ap-7733	38	8	,	,	PUNCT
ap-7733	38	9	we	we	PRON
ap-7733	38	10	discuss	discuss	VERB
ap-7733	38	11	the	the	DET
ap-7733	38	12	rational	rational	ADJ
ap-7733	38	13	extension	extension	NOUN
ap-7733	38	14	of	of	ADP
ap-7733	38	15	a	a	DET
ap-7733	38	16	qes	qes	PROPN
ap-7733	38	17	n	n	CCONJ
ap-7733	38	18	-	-	PUNCT
ap-7733	38	19	particle	particle	NOUN
ap-7733	38	20	calogero	calogero	PROPN
ap-7733	38	21	model	model	NOUN
ap-7733	38	22	with	with	ADP
ap-7733	38	23	a	a	DET
ap-7733	38	24	harmonic	harmonic	ADJ
ap-7733	38	25	confining	confining	NOUN
ap-7733	38	26	interaction	interaction	NOUN
ap-7733	38	27	.	.	PUNCT
ap-7733	39	1	new	new	ADJ
ap-7733	39	2	long	long	ADJ
ap-7733	39	3	-	-	PUNCT
ap-7733	39	4	range	range	NOUN
ap-7733	39	5	interactions	interaction	NOUN
ap-7733	39	6	to	to	ADP
ap-7733	39	7	the	the	DET
ap-7733	39	8	rational	rational	ADJ
ap-7733	39	9	calogero	calogero	PROPN
ap-7733	39	10	model	model	NOUN
ap-7733	39	11	are	be	AUX
ap-7733	39	12	included	include	VERB
ap-7733	39	13	to	to	PART
ap-7733	39	14	construct	construct	VERB
ap-7733	39	15	this	this	DET
ap-7733	39	16	qes	qes	NOUN
ap-7733	39	17	many	many	ADJ
ap-7733	39	18	particle	particle	NOUN
ap-7733	39	19	system	system	NOUN
ap-7733	39	20	using	use	VERB
ap-7733	39	21	susyqm	susyqm	NOUN
ap-7733	39	22	.	.	PUNCT
ap-7733	40	1	the	the	DET
ap-7733	40	2	wavefunctions	wavefunction	NOUN
ap-7733	40	3	are	be	AUX
ap-7733	40	4	expressed	express	VERB
ap-7733	40	5	,	,	PUNCT
ap-7733	40	6	again	again	ADV
ap-7733	40	7	,	,	PUNCT
ap-7733	40	8	in	in	ADP
ap-7733	40	9	terms	term	NOUN
ap-7733	40	10	of	of	ADP
ap-7733	40	11	exceptional	exceptional	ADJ
ap-7733	40	12	orthogonal	orthogonal	ADJ
ap-7733	40	13	laguerre	laguerre	NOUN
ap-7733	40	14	polynomials	polynomial	NOUN
ap-7733	40	15	.	.	PUNCT
ap-7733	41	1	now	now	ADV
ap-7733	41	2	,	,	PUNCT
ap-7733	41	3	we	we	PRON
ap-7733	41	4	present	present	VERB
ap-7733	41	5	the	the	DET
ap-7733	41	6	organisation	organisation	NOUN
ap-7733	41	7	of	of	ADP
ap-7733	41	8	the	the	DET
ap-7733	41	9	article	article	NOUN
ap-7733	41	10	.	.	PUNCT
ap-7733	42	1	in	in	ADP
ap-7733	42	2	the	the	DET
ap-7733	42	3	next	next	ADJ
ap-7733	42	4	section	section	NOUN
ap-7733	42	5	,	,	PUNCT
ap-7733	42	6	we	we	PRON
ap-7733	42	7	present	present	VERB
ap-7733	42	8	the	the	DET
ap-7733	42	9	tcs	tcs	NOUN
ap-7733	42	10	model	model	NOUN
ap-7733	42	11	and	and	CCONJ
ap-7733	42	12	its	its	PRON
ap-7733	42	13	solutions	solution	NOUN
ap-7733	42	14	in	in	ADP
ap-7733	42	15	brief	brief	NOUN
ap-7733	42	16	to	to	PART
ap-7733	42	17	set	set	VERB
ap-7733	42	18	the	the	DET
ap-7733	42	19	things	thing	NOUN
ap-7733	42	20	for	for	ADP
ap-7733	42	21	the	the	DET
ap-7733	42	22	section	section	NOUN
ap-7733	42	23	3	3	NUM
ap-7733	42	24	,	,	PUNCT
ap-7733	42	25	where	where	SCONJ
ap-7733	42	26	we	we	PRON
ap-7733	42	27	consider	consider	VERB
ap-7733	42	28	the	the	DET
ap-7733	42	29	rational	rational	ADJ
ap-7733	42	30	extension	extension	NOUN
ap-7733	42	31	of	of	ADP
ap-7733	42	32	the	the	DET
ap-7733	42	33	tcs	tcs	NOUN
ap-7733	42	34	model	model	NOUN
ap-7733	42	35	.	.	PUNCT
ap-7733	43	1	in	in	ADP
ap-7733	43	2	section	section	NOUN
ap-7733	43	3	4	4	NUM
ap-7733	43	4	,	,	PUNCT
ap-7733	43	5	the	the	DET
ap-7733	43	6	qes	qes	NOUN
ap-7733	43	7	solutions	solution	NOUN
ap-7733	43	8	for	for	ADP
ap-7733	43	9	the	the	DET
ap-7733	43	10	rationally	rationally	ADV
ap-7733	43	11	extended	extended	ADJ
ap-7733	43	12	calogero	calogero	NOUN
ap-7733	43	13	type	type	NOUN
ap-7733	43	14	many	many	ADJ
ap-7733	43	15	particle	particle	NOUN
ap-7733	43	16	system	system	NOUN
ap-7733	43	17	are	be	AUX
ap-7733	43	18	presented	present	VERB
ap-7733	43	19	.	.	PUNCT
ap-7733	44	1	section	section	NOUN
ap-7733	44	2	5	5	NUM
ap-7733	44	3	is	be	AUX
ap-7733	44	4	reserved	reserve	VERB
ap-7733	44	5	for	for	ADP
ap-7733	44	6	conclusions	conclusion	NOUN
ap-7733	44	7	.	.	PUNCT
ap-7733	45	1	2	2	X
ap-7733	45	2	.	.	X
ap-7733	45	3	tcs	tcs	NOUN
ap-7733	45	4	model	model	NOUN
ap-7733	45	5	in	in	ADP
ap-7733	45	6	his	his	PRON
ap-7733	45	7	work	work	NOUN
ap-7733	45	8	,	,	PUNCT
ap-7733	45	9	jain	jain	NOUN
ap-7733	45	10	-	-	PUNCT
ap-7733	45	11	khare	khare	PROPN
ap-7733	45	12	(	(	PUNCT
ap-7733	45	13	jk	jk	PROPN
ap-7733	45	14	)	)	PUNCT
ap-7733	46	1	[	[	X
ap-7733	46	2	63	63	NUM
ap-7733	46	3	]	]	PUNCT
ap-7733	46	4	exactly	exactly	ADV
ap-7733	46	5	solved	solve	VERB
ap-7733	46	6	some	some	DET
ap-7733	46	7	variant	variant	NOUN
ap-7733	46	8	of	of	ADP
ap-7733	46	9	calogero	calogero	PROPN
ap-7733	46	10	-	-	PUNCT
ap-7733	46	11	sutherland	sutherland	PROPN
ap-7733	46	12	model	model	NOUN
ap-7733	46	13	(	(	PUNCT
ap-7733	46	14	csm	csm	PROPN
ap-7733	46	15	)	)	PUNCT
ap-7733	46	16	on	on	ADP
ap-7733	46	17	the	the	DET
ap-7733	46	18	full	full	ADJ
ap-7733	46	19	line	line	NOUN
ap-7733	46	20	by	by	ADP
ap-7733	46	21	taking	take	VERB
ap-7733	46	22	only	only	ADV
ap-7733	46	23	the	the	DET
ap-7733	46	24	nearest	near	ADJ
ap-7733	46	25	and	and	CCONJ
ap-7733	46	26	next	next	ADJ
ap-7733	46	27	-	-	PUNCT
ap-7733	46	28	to	to	ADP
ap-7733	46	29	-	-	PUNCT
ap-7733	46	30	nearest	near	ADJ
ap-7733	46	31	neighbor	neighbor	NOUN
ap-7733	46	32	interactions	interaction	NOUN
ap-7733	46	33	through	through	ADP
ap-7733	46	34	2	2	NUM
ap-7733	46	35	-	-	PUNCT
ap-7733	46	36	body	body	NOUN
ap-7733	46	37	and	and	CCONJ
ap-7733	46	38	3	3	NUM
ap-7733	46	39	-	-	PUNCT
ap-7733	46	40	body	body	NOUN
ap-7733	46	41	interactions	interaction	NOUN
ap-7733	46	42	.	.	PUNCT
ap-7733	47	1	later	later	ADV
ap-7733	47	2	,	,	PUNCT
ap-7733	47	3	pittman	pittman	NOUN
ap-7733	47	4	et	et	PROPN
ap-7733	47	5	al	al	PROPN
ap-7733	47	6	.	.	PUNCT
ap-7733	48	1	[	[	X
ap-7733	48	2	64	64	NUM
ap-7733	48	3	]	]	PUNCT
ap-7733	48	4	generalized	generalize	VERB
ap-7733	48	5	this	this	DET
ap-7733	48	6	model	model	NOUN
ap-7733	48	7	by	by	ADP
ap-7733	48	8	considering	consider	VERB
ap-7733	48	9	an	an	DET
ap-7733	48	10	n	n	CCONJ
ap-7733	48	11	-	-	PUNCT
ap-7733	48	12	body	body	NOUN
ap-7733	48	13	problem	problem	NOUN
ap-7733	48	14	on	on	ADP
ap-7733	48	15	a	a	DET
ap-7733	48	16	line	line	NOUN
ap-7733	48	17	with	with	ADP
ap-7733	48	18	harmonic	harmonic	ADJ
ap-7733	48	19	confinement	confinement	NOUN
ap-7733	48	20	with	with	ADP
ap-7733	48	21	tunable	tunable	ADJ
ap-7733	48	22	inverse	inverse	NOUN
ap-7733	48	23	square	square	NOUN
ap-7733	48	24	as	as	ADV
ap-7733	48	25	well	well	ADV
ap-7733	48	26	as	as	ADP
ap-7733	48	27	the	the	DET
ap-7733	48	28	three	three	NUM
ap-7733	48	29	-	-	PUNCT
ap-7733	48	30	body	body	NOUN
ap-7733	48	31	interaction	interaction	NOUN
ap-7733	48	32	extends	extend	VERB
ap-7733	48	33	over	over	ADP
ap-7733	48	34	a	a	DET
ap-7733	48	35	finite	finite	ADJ
ap-7733	48	36	number	number	NOUN
ap-7733	48	37	of	of	ADP
ap-7733	48	38	neighbors	neighbor	NOUN
ap-7733	48	39	and	and	CCONJ
ap-7733	48	40	were	be	AUX
ap-7733	48	41	able	able	ADJ
ap-7733	48	42	to	to	PART
ap-7733	48	43	solve	solve	VERB
ap-7733	48	44	it	it	PRON
ap-7733	48	45	exactly	exactly	ADV
ap-7733	48	46	.	.	PUNCT
ap-7733	49	1	this	this	DET
ap-7733	49	2	model	model	NOUN
ap-7733	49	3	is	be	AUX
ap-7733	49	4	known	know	VERB
ap-7733	49	5	as	as	ADP
ap-7733	49	6	truncated	truncate	VERB
ap-7733	49	7	calogero	calogero	PROPN
ap-7733	49	8	-	-	PUNCT
ap-7733	49	9	sutherland	sutherland	PROPN
ap-7733	49	10	model	model	NOUN
ap-7733	49	11	(	(	PUNCT
ap-7733	49	12	tcs	tcs	NOUN
ap-7733	49	13	)	)	PUNCT
ap-7733	49	14	.	.	PUNCT
ap-7733	50	1	n	n	PRON
ap-7733	50	2	-body	-body	ADJ
ap-7733	50	3	tcs	tcs	NOUN
ap-7733	50	4	model	model	NOUN
ap-7733	50	5	[	[	X
ap-7733	50	6	64	64	NUM
ap-7733	50	7	]	]	PUNCT
ap-7733	50	8	,	,	PUNCT
ap-7733	50	9	where	where	SCONJ
ap-7733	50	10	particles	particle	NOUN
ap-7733	50	11	are	be	AUX
ap-7733	50	12	interacting	interact	VERB
ap-7733	50	13	through	through	ADP
ap-7733	50	14	2	2	NUM
ap-7733	50	15	-	-	PUNCT
ap-7733	50	16	body	body	NOUN
ap-7733	50	17	and	and	CCONJ
ap-7733	50	18	3	3	NUM
ap-7733	50	19	-	-	PUNCT
ap-7733	50	20	body	body	NOUN
ap-7733	50	21	potentials	potential	NOUN
ap-7733	50	22	,	,	PUNCT
ap-7733	50	23	is	be	AUX
ap-7733	50	24	given	give	VERB
ap-7733	50	25	by	by	ADP
ap-7733	50	26	h	h	NOUN
ap-7733	50	27	=	=	SYM
ap-7733	50	28	n∑	n∑	PROPN
ap-7733	50	29	i=1	i=1	X
ap-7733	51	1	[	[	PUNCT
ap-7733	51	2	−	−	PROPN
ap-7733	51	3	1	1	NUM
ap-7733	51	4	2	2	NUM
ap-7733	51	5	∂2	∂2	NUM
ap-7733	51	6	∂x2	∂x2	NOUN
ap-7733	51	7	i	i	NOUN
ap-7733	51	8	+	+	NOUN
ap-7733	51	9	1	1	NUM
ap-7733	51	10	2ω	2ω	NUM
ap-7733	51	11	2x2	2x2	NUM
ap-7733	51	12	i	i	NOUN
ap-7733	51	13	]	]	PUNCT
ap-7733	52	1	+	+	CCONJ
ap-7733	52	2	∑	∑	PUNCT
ap-7733	52	3	i	i	PRON
ap-7733	52	4	<	<	X
ap-7733	52	5	j	j	PROPN
ap-7733	52	6	|i−j|≤r	|i−j|≤r	NUM
ap-7733	52	7	λ(λ−	λ(λ−	PROPN
ap-7733	52	8	1	1	NUM
ap-7733	52	9	)	)	PUNCT
ap-7733	52	10	|	|	ADV
ap-7733	52	11	xi	xi	PROPN
ap-7733	52	12	−	−	PROPN
ap-7733	52	13	xj	xj	PROPN
ap-7733	52	14	|2	|2	NUM
ap-7733	53	1	+	+	CCONJ
ap-7733	53	2	∑	∑	PROPN
ap-7733	53	3	i	i	X
ap-7733	53	4	<	<	X
ap-7733	53	5	j	j	PROPN
ap-7733	53	6	<	<	X
ap-7733	53	7	k	k	PROPN
ap-7733	53	8	|i−j|≤r	|i−j|≤r	NUM
ap-7733	53	9	|j−k|≤r	|j−k|≤r	NUM
ap-7733	54	1	λ2(xi	λ2(xi	PROPN
ap-7733	54	2	−	−	PROPN
ap-7733	54	3	xj)x	xj)x	PROPN
ap-7733	54	4	·	·	PUNCT
ap-7733	54	5	(	(	PUNCT
ap-7733	54	6	xj	xj	PROPN
ap-7733	54	7	−	−	PROPN
ap-7733	55	1	xk)x	xk)x	PROPN
ap-7733	55	2	|xj	|xj	NUM
ap-7733	55	3	−	−	PROPN
ap-7733	55	4	xj	xj	PROPN
ap-7733	55	5	|2|xj	|2|xj	VERB
ap-7733	55	6	−	−	PROPN
ap-7733	56	1	xk|2	xk|2	PROPN
ap-7733	56	2	(	(	PUNCT
ap-7733	56	3	1	1	NUM
ap-7733	56	4	)	)	PUNCT
ap-7733	56	5	with	with	ADP
ap-7733	56	6	λ	λ	X
ap-7733	56	7	̸=	̸=	PROPN
ap-7733	56	8	0	0	PUNCT
ap-7733	56	9	and	and	CCONJ
ap-7733	56	10	x	x	SYM
ap-7733	56	11	=	=	SYM
ap-7733	56	12	(	(	PUNCT
ap-7733	56	13	x1	x1	PROPN
ap-7733	56	14	,	,	PUNCT
ap-7733	56	15	x2	x2	PROPN
ap-7733	56	16	,	,	PUNCT
ap-7733	56	17	.	.	PUNCT
ap-7733	56	18	.	.	PUNCT
ap-7733	56	19	.	.	PUNCT
ap-7733	57	1	,	,	PUNCT
ap-7733	57	2	xn	xn	X
ap-7733	57	3	)	)	PUNCT
ap-7733	58	1	∈	∈	PROPN
ap-7733	58	2	rn	rn	PROPN
ap-7733	58	3	.	.	PUNCT
ap-7733	59	1	the	the	DET
ap-7733	59	2	2body	2body	NUM
ap-7733	59	3	interaction	interaction	NOUN
ap-7733	59	4	is	be	AUX
ap-7733	59	5	attractive	attractive	ADJ
ap-7733	59	6	for	for	ADP
ap-7733	59	7	0	0	NUM
ap-7733	59	8	<	<	X
ap-7733	59	9	λ	λ	X
ap-7733	59	10	<	<	X
ap-7733	59	11	1	1	NUM
ap-7733	59	12	and	and	CCONJ
ap-7733	59	13	is	be	AUX
ap-7733	59	14	repulsive	repulsive	ADJ
ap-7733	59	15	for	for	ADP
ap-7733	59	16	λ	λ	PROPN
ap-7733	59	17	≥	≥	NUM
ap-7733	59	18	1	1	NUM
ap-7733	59	19	.	.	PUNCT
ap-7733	60	1	here	here	ADV
ap-7733	60	2	,	,	PUNCT
ap-7733	60	3	r	r	NOUN
ap-7733	60	4	is	be	AUX
ap-7733	60	5	the	the	DET
ap-7733	60	6	integer	integer	NOUN
ap-7733	60	7	parameter	parameter	NOUN
ap-7733	60	8	and	and	CCONJ
ap-7733	60	9	for	for	ADP
ap-7733	60	10	r	r	NOUN
ap-7733	60	11	=	=	SYM
ap-7733	60	12	1	1	NUM
ap-7733	60	13	,	,	PUNCT
ap-7733	60	14	this	this	DET
ap-7733	60	15	system	system	NOUN
ap-7733	60	16	reduces	reduce	VERB
ap-7733	60	17	to	to	ADP
ap-7733	60	18	that	that	PRON
ap-7733	60	19	of	of	ADP
ap-7733	60	20	the	the	DET
ap-7733	60	21	jain	jain	PROPN
ap-7733	60	22	-	-	PUNCT
ap-7733	60	23	khare	khare	PROPN
ap-7733	61	1	[	[	X
ap-7733	61	2	63	63	NUM
ap-7733	61	3	]	]	PUNCT
ap-7733	61	4	model	model	NOUN
ap-7733	61	5	.	.	PUNCT
ap-7733	62	1	however	however	ADV
ap-7733	62	2	,	,	PUNCT
ap-7733	62	3	for	for	ADP
ap-7733	62	4	r	r	NOUN
ap-7733	62	5	=	=	SYM
ap-7733	62	6	n	n	CCONJ
ap-7733	62	7	−	−	PROPN
ap-7733	62	8	1	1	NUM
ap-7733	62	9	,	,	PUNCT
ap-7733	62	10	it	it	PRON
ap-7733	62	11	corresponds	correspond	VERB
ap-7733	62	12	to	to	ADP
ap-7733	62	13	the	the	DET
ap-7733	62	14	csm	csm	NOUN
ap-7733	62	15	[	[	X
ap-7733	62	16	65–67	65–67	NUM
ap-7733	62	17	]	]	X
ap-7733	62	18	model	model	NOUN
ap-7733	62	19	.	.	PUNCT
ap-7733	63	1	using	use	VERB
ap-7733	63	2	standard	standard	ADJ
ap-7733	63	3	techniques	technique	NOUN
ap-7733	63	4	in	in	ADP
ap-7733	63	5	the	the	DET
ap-7733	63	6	case	case	NOUN
ap-7733	63	7	of	of	ADP
ap-7733	63	8	many	many	ADJ
ap-7733	63	9	particle	particle	NOUN
ap-7733	63	10	systems	system	NOUN
ap-7733	63	11	,	,	PUNCT
ap-7733	63	12	the	the	DET
ap-7733	63	13	time	time	NOUN
ap-7733	63	14	independent	independent	ADJ
ap-7733	63	15	schrodinger	schrodinger	NOUN
ap-7733	63	16	equation	equation	NOUN
ap-7733	63	17	(	(	PUNCT
ap-7733	63	18	tise	tise	NOUN
ap-7733	63	19	)	)	PUNCT
ap-7733	63	20	corresponding	correspond	VERB
ap-7733	63	21	to	to	ADP
ap-7733	63	22	the	the	DET
ap-7733	63	23	above	above	ADJ
ap-7733	63	24	system	system	NOUN
ap-7733	63	25	can	can	AUX
ap-7733	63	26	be	be	AUX
ap-7733	63	27	written	write	VERB
ap-7733	63	28	in	in	ADP
ap-7733	63	29	radial	radial	ADJ
ap-7733	63	30	and	and	CCONJ
ap-7733	63	31	angular	angular	ADJ
ap-7733	63	32	parts	part	NOUN
ap-7733	63	33	as	as	ADP
ap-7733	63	34	φ′′(ρ	φ′′(ρ	NOUN
ap-7733	63	35	)	)	PUNCT
ap-7733	64	1	+	+	CCONJ
ap-7733	64	2	(	(	PUNCT
ap-7733	64	3	n	n	X
ap-7733	64	4	+	+	CCONJ
ap-7733	64	5	2s−	2s−	NUM
ap-7733	64	6	1	1	NUM
ap-7733	64	7	+	+	NOUN
ap-7733	64	8	λr(2n	λr(2n	NOUN
ap-7733	64	9	−	−	NOUN
ap-7733	64	10	r	r	NOUN
ap-7733	64	11	−	−	NOUN
ap-7733	64	12	1	1	NUM
ap-7733	64	13	)	)	PUNCT
ap-7733	64	14	)	)	PUNCT
ap-7733	64	15	1	1	NUM
ap-7733	64	16	ρ	ρ	NOUN
ap-7733	64	17	φ′(ρ	φ′(ρ	NOUN
ap-7733	64	18	)	)	PUNCT
ap-7733	65	1	+	+	CCONJ
ap-7733	65	2	2(e	2(e	NUM
ap-7733	65	3	−	−	NOUN
ap-7733	65	4	1	1	NUM
ap-7733	65	5	2ω	2ω	NUM
ap-7733	65	6	2ρ2)φ(ρ	2ρ2)φ(ρ	NOUN
ap-7733	65	7	)	)	PUNCT
ap-7733	65	8	=	=	SYM
ap-7733	65	9	0	0	NUM
ap-7733	65	10	,	,	PUNCT
ap-7733	65	11	(	(	PUNCT
ap-7733	65	12	2	2	NUM
ap-7733	65	13	)	)	PUNCT
ap-7733	65	14	(	(	PUNCT
ap-7733	65	15	where	where	SCONJ
ap-7733	65	16	ρ	ρ	NOUN
ap-7733	65	17	=	=	SYM
ap-7733	66	1	∑n	∑n	PROPN
ap-7733	67	1	i	i	PRON
ap-7733	67	2	x2	x2	INTJ
ap-7733	68	1	i	i	PRON
ap-7733	68	2	,	,	PUNCT
ap-7733	68	3	is	be	AUX
ap-7733	68	4	the	the	DET
ap-7733	68	5	radial	radial	ADJ
ap-7733	68	6	coordinate	coordinate	NOUN
ap-7733	68	7	and	and	CCONJ
ap-7733	68	8	the	the	DET
ap-7733	68	9	prime	prime	ADJ
ap-7733	68	10	denotes	denote	VERB
ap-7733	68	11	the	the	DET
ap-7733	68	12	differentiation	differentiation	NOUN
ap-7733	68	13	with	with	ADP
ap-7733	68	14	respect	respect	NOUN
ap-7733	68	15	to	to	ADP
ap-7733	68	16	its	its	PRON
ap-7733	68	17	arguments	argument	NOUN
ap-7733	68	18	and	and	CCONJ
ap-7733	68	19	this	this	DET
ap-7733	68	20	convention	convention	NOUN
ap-7733	68	21	is	be	AUX
ap-7733	68	22	adopted	adopt	VERB
ap-7733	68	23	throughout	throughout	ADP
ap-7733	68	24	this	this	DET
ap-7733	68	25	manuscript	manuscript	NOUN
ap-7733	68	26	)	)	PUNCT
ap-7733	68	27	and	and	CCONJ
ap-7733	68	28	[	[	PUNCT
ap-7733	68	29	n∑	n∑	NOUN
ap-7733	68	30	i=1	i=1	PROPN
ap-7733	68	31	∂2	∂2	PROPN
ap-7733	68	32	∂x2	∂x2	NOUN
ap-7733	68	33	i	i	PRON
ap-7733	68	34	+	+	NUM
ap-7733	68	35	2λ	2λ	NUM
ap-7733	69	1	n−1∑	n−1∑	PROPN
ap-7733	69	2	i	i	PRON
ap-7733	69	3	<	<	X
ap-7733	69	4	j	j	PROPN
ap-7733	69	5	1	1	NUM
ap-7733	69	6	xi	xi	ADP
ap-7733	69	7	−	−	PROPN
ap-7733	70	1	xj	xj	PROPN
ap-7733	71	1	(	(	PUNCT
ap-7733	71	2	∂	∂	NUM
ap-7733	71	3	∂xi	∂xi	NOUN
ap-7733	71	4	−	−	PROPN
ap-7733	71	5	∂	∂	NUM
ap-7733	71	6	∂xj	∂xj	NOUN
ap-7733	71	7	)	)	PUNCT
ap-7733	71	8	]	]	PUNCT
ap-7733	71	9	ps(x	ps(x	X
ap-7733	71	10	)	)	PUNCT
ap-7733	72	1	=	=	SYM
ap-7733	72	2	0	0	X
ap-7733	72	3	.	.	PUNCT
ap-7733	73	1	(	(	PUNCT
ap-7733	73	2	3	3	NUM
ap-7733	73	3	)	)	PUNCT
ap-7733	73	4	(	(	PUNCT
ap-7733	73	5	where	where	SCONJ
ap-7733	73	6	the	the	DET
ap-7733	73	7	function	function	NOUN
ap-7733	73	8	ps	ps	PROPN
ap-7733	73	9	denotes	denote	VERB
ap-7733	73	10	the	the	DET
ap-7733	73	11	homogeneous	homogeneous	ADJ
ap-7733	73	12	polynomial	polynomial	NOUN
ap-7733	73	13	of	of	ADP
ap-7733	73	14	angular	angular	ADJ
ap-7733	73	15	variables	variable	NOUN
ap-7733	73	16	of	of	ADP
ap-7733	73	17	degree	degree	NOUN
ap-7733	73	18	s	s	PART
ap-7733	73	19	=	=	NOUN
ap-7733	73	20	0	0	NUM
ap-7733	73	21	,	,	PUNCT
ap-7733	73	22	1	1	NUM
ap-7733	73	23	,	,	PUNCT
ap-7733	73	24	2	2	NUM
ap-7733	73	25	,	,	PUNCT
ap-7733	73	26	.	.	PUNCT
ap-7733	73	27	.	.	PUNCT
ap-7733	73	28	.	.	PUNCT
ap-7733	73	29	)	)	PUNCT
ap-7733	73	30	.	.	PUNCT
ap-7733	74	1	to	to	PART
ap-7733	74	2	obtaine	obtaine	VERB
ap-7733	74	3	these	these	DET
ap-7733	74	4	eqs	eqs	PROPN
ap-7733	74	5	.	.	PUNCT
ap-7733	75	1	we	we	PRON
ap-7733	75	2	have	have	AUX
ap-7733	75	3	substituted	substitute	VERB
ap-7733	75	4	the	the	DET
ap-7733	75	5	wave	wave	NOUN
ap-7733	75	6	function	function	NOUN
ap-7733	75	7	ψ(x	ψ(x	NOUN
ap-7733	75	8	)	)	PUNCT
ap-7733	76	1	=	=	SYM
ap-7733	76	2	∏	∏	PROPN
ap-7733	77	1	i	i	X
ap-7733	77	2	<	<	X
ap-7733	77	3	j	j	PROPN
ap-7733	77	4	(	(	PUNCT
ap-7733	77	5	xi	xi	PROPN
ap-7733	77	6	−	−	PROPN
ap-7733	77	7	xj)λ	xj)λ	PROPN
ap-7733	77	8	φ(ρ	φ(ρ	NUM
ap-7733	77	9	)	)	PUNCT
ap-7733	77	10	ps(x	ps(x	NOUN
ap-7733	77	11	)	)	PUNCT
ap-7733	77	12	(	(	PUNCT
ap-7733	77	13	4	4	X
ap-7733	77	14	)	)	PUNCT
ap-7733	77	15	in	in	ADP
ap-7733	77	16	the	the	DET
ap-7733	77	17	tise	tise	NOUN
ap-7733	77	18	,	,	PUNCT
ap-7733	77	19	hψ	hψ	X
ap-7733	77	20	=	=	SYM
ap-7733	77	21	eψ	eψ	PROPN
ap-7733	77	22	.	.	PUNCT
ap-7733	78	1	this	this	DET
ap-7733	78	2	model	model	NOUN
ap-7733	78	3	is	be	AUX
ap-7733	78	4	solved	solve	VERB
ap-7733	78	5	exactly	exactly	ADV
ap-7733	78	6	and	and	CCONJ
ap-7733	78	7	the	the	DET
ap-7733	78	8	solution	solution	NOUN
ap-7733	78	9	is	be	AUX
ap-7733	78	10	given	give	VERB
ap-7733	78	11	by	by	ADP
ap-7733	78	12	,	,	PUNCT
ap-7733	78	13	the	the	DET
ap-7733	78	14	spectrum	spectrum	NOUN
ap-7733	78	15	:	:	PUNCT
ap-7733	78	16	en	en	PROPN
ap-7733	78	17	=	=	SYM
ap-7733	78	18	ω	ω	PROPN
ap-7733	78	19	(	(	PUNCT
ap-7733	78	20	2n	2n	NUM
ap-7733	78	21	+	+	SYM
ap-7733	78	22	s	s	X
ap-7733	78	23	+	+	NOUN
ap-7733	78	24	n	n	PRON
ap-7733	78	25	2	2	NUM
ap-7733	78	26	+	+	NUM
ap-7733	78	27	λr	λr	NOUN
ap-7733	78	28	2	2	NUM
ap-7733	78	29	(	(	PUNCT
ap-7733	78	30	2n	2n	NUM
ap-7733	78	31	−	−	NOUN
ap-7733	78	32	r	r	NOUN
ap-7733	78	33	−	−	NOUN
ap-7733	78	34	1	1	NUM
ap-7733	78	35	)	)	PUNCT
ap-7733	78	36	)	)	PUNCT
ap-7733	78	37	,	,	PUNCT
ap-7733	78	38	(	(	PUNCT
ap-7733	78	39	5	5	NUM
ap-7733	78	40	)	)	PUNCT
ap-7733	78	41	and	and	CCONJ
ap-7733	78	42	the	the	DET
ap-7733	78	43	corresponding	corresponding	ADJ
ap-7733	78	44	radial	radial	ADJ
ap-7733	78	45	wave	wave	NOUN
ap-7733	78	46	function	function	NOUN
ap-7733	78	47	in	in	ADP
ap-7733	78	48	terms	term	NOUN
ap-7733	78	49	of	of	ADP
ap-7733	78	50	classical	classical	ADJ
ap-7733	78	51	laguerre	laguerre	NOUN
ap-7733	78	52	polynomials	polynomial	NOUN
ap-7733	78	53	is	be	AUX
ap-7733	78	54	given	give	VERB
ap-7733	78	55	as	as	ADP
ap-7733	78	56	φ(ρ	φ(ρ	NUM
ap-7733	78	57	)	)	PUNCT
ap-7733	78	58	≃	≃	NOUN
ap-7733	78	59	exp(−ωρ2	exp(−ωρ2	PROPN
ap-7733	78	60	2	2	NUM
ap-7733	78	61	)	)	PUNCT
ap-7733	78	62	l(α	l(α	PROPN
ap-7733	78	63	)	)	PUNCT
ap-7733	79	1	n	n	CCONJ
ap-7733	79	2	(	(	PUNCT
ap-7733	79	3	ωρ2	ωρ2	PROPN
ap-7733	79	4	)	)	PUNCT
ap-7733	79	5	;	;	PUNCT
ap-7733	79	6	n	n	PROPN
ap-7733	79	7	=	=	SYM
ap-7733	79	8	0	0	NUM
ap-7733	79	9	,	,	PUNCT
ap-7733	79	10	1	1	NUM
ap-7733	79	11	,	,	PUNCT
ap-7733	79	12	2	2	NUM
ap-7733	79	13	,	,	PUNCT
ap-7733	79	14	.	.	PUNCT
ap-7733	79	15	.	.	PUNCT
ap-7733	79	16	.	.	PUNCT
ap-7733	80	1	(	(	PUNCT
ap-7733	80	2	6	6	NUM
ap-7733	80	3	)	)	PUNCT
ap-7733	80	4	where	where	SCONJ
ap-7733	80	5	α	α	NOUN
ap-7733	80	6	=	=	X
ap-7733	80	7	(	(	PUNCT
ap-7733	80	8	s−	s−	PROPN
ap-7733	80	9	1	1	NUM
ap-7733	80	10	+	+	CCONJ
ap-7733	80	11	n	n	PRON
ap-7733	80	12	2	2	NUM
ap-7733	80	13	+	+	NUM
ap-7733	80	14	λr	λr	NOUN
ap-7733	80	15	2	2	NUM
ap-7733	80	16	(	(	PUNCT
ap-7733	80	17	2n	2n	NUM
ap-7733	80	18	−	−	PROPN
ap-7733	80	19	r−	r−	PROPN
ap-7733	80	20	1	1	NUM
ap-7733	80	21	)	)	PUNCT
ap-7733	80	22	)	)	PUNCT
ap-7733	80	23	.	.	PUNCT
ap-7733	81	1	this	this	DET
ap-7733	81	2	result	result	NOUN
ap-7733	81	3	is	be	AUX
ap-7733	81	4	consistent	consistent	ADJ
ap-7733	81	5	with	with	ADP
ap-7733	81	6	jk	jk	PROPN
ap-7733	81	7	and	and	CCONJ
ap-7733	81	8	csm	csm	NOUN
ap-7733	81	9	models	model	NOUN
ap-7733	81	10	in	in	ADP
ap-7733	81	11	the	the	DET
ap-7733	81	12	appropriate	appropriate	ADJ
ap-7733	81	13	limit	limit	NOUN
ap-7733	81	14	[	[	X
ap-7733	81	15	64	64	NUM
ap-7733	81	16	]	]	PUNCT
ap-7733	81	17	.	.	PUNCT
ap-7733	82	1	in	in	ADP
ap-7733	82	2	the	the	DET
ap-7733	82	3	next	next	ADJ
ap-7733	82	4	section	section	NOUN
ap-7733	82	5	,	,	PUNCT
ap-7733	82	6	we	we	PRON
ap-7733	82	7	will	will	AUX
ap-7733	82	8	extend	extend	VERB
ap-7733	82	9	this	this	DET
ap-7733	82	10	model	model	NOUN
ap-7733	82	11	by	by	ADP
ap-7733	82	12	adding	add	VERB
ap-7733	82	13	some	some	DET
ap-7733	82	14	interaction	interaction	NOUN
ap-7733	82	15	terms	term	NOUN
ap-7733	82	16	.	.	PUNCT
ap-7733	83	1	then	then	ADV
ap-7733	83	2	,	,	PUNCT
ap-7733	83	3	the	the	DET
ap-7733	83	4	extended	extended	ADJ
ap-7733	83	5	model	model	NOUN
ap-7733	83	6	will	will	AUX
ap-7733	83	7	be	be	AUX
ap-7733	83	8	cast	cast	VERB
ap-7733	83	9	as	as	ADP
ap-7733	83	10	a	a	DET
ap-7733	83	11	rational	rational	ADJ
ap-7733	83	12	extension	extension	NOUN
ap-7733	83	13	of	of	ADP
ap-7733	83	14	the	the	DET
ap-7733	83	15	tcs	tcs	NOUN
ap-7733	83	16	model	model	NOUN
ap-7733	83	17	.	.	PUNCT
ap-7733	84	1	91	91	NUM
ap-7733	84	2	bhabani	bhabani	PROPN
ap-7733	84	3	prasad	prasad	PROPN
ap-7733	84	4	mandal	mandal	PROPN
ap-7733	84	5	acta	acta	PROPN
ap-7733	84	6	polytechnica	polytechnica	PROPN
ap-7733	84	7	3	3	NUM
ap-7733	84	8	.	.	NUM
ap-7733	84	9	extended	extend	VERB
ap-7733	84	10	tcs	tcs	NOUN
ap-7733	84	11	model	model	NOUN
ap-7733	84	12	(	(	PUNCT
ap-7733	84	13	etcs	etcs	NOUN
ap-7733	84	14	)	)	PUNCT
ap-7733	84	15	we	we	PRON
ap-7733	84	16	would	would	AUX
ap-7733	84	17	like	like	VERB
ap-7733	84	18	to	to	PART
ap-7733	84	19	find	find	VERB
ap-7733	84	20	another	another	DET
ap-7733	84	21	system	system	NOUN
ap-7733	84	22	related	relate	VERB
ap-7733	84	23	to	to	ADP
ap-7733	84	24	the	the	DET
ap-7733	84	25	tcs	tcs	NOUN
ap-7733	84	26	model	model	NOUN
ap-7733	84	27	,	,	PUNCT
ap-7733	84	28	which	which	PRON
ap-7733	84	29	is	be	AUX
ap-7733	84	30	isospectral	isospectral	ADJ
ap-7733	84	31	to	to	ADP
ap-7733	84	32	the	the	DET
ap-7733	84	33	tcs	tcs	NOUN
ap-7733	84	34	and	and	CCONJ
ap-7733	84	35	possibly	possibly	ADV
ap-7733	84	36	,	,	PUNCT
ap-7733	84	37	its	its	PRON
ap-7733	84	38	wave	wave	NOUN
ap-7733	84	39	functions	function	NOUN
ap-7733	84	40	are	be	AUX
ap-7733	84	41	written	write	VERB
ap-7733	84	42	in	in	ADP
ap-7733	84	43	terms	term	NOUN
ap-7733	84	44	of	of	ADP
ap-7733	84	45	eops	eop	NOUN
ap-7733	84	46	.	.	PUNCT
ap-7733	85	1	to	to	PART
ap-7733	85	2	find	find	VERB
ap-7733	85	3	the	the	DET
ap-7733	85	4	rational	rational	ADJ
ap-7733	85	5	extension	extension	NOUN
ap-7733	85	6	of	of	ADP
ap-7733	85	7	the	the	DET
ap-7733	85	8	tcs	tcs	NOUN
ap-7733	85	9	model	model	NOUN
ap-7733	85	10	,	,	PUNCT
ap-7733	85	11	we	we	PRON
ap-7733	85	12	start	start	VERB
ap-7733	85	13	by	by	ADP
ap-7733	85	14	adding	add	VERB
ap-7733	85	15	a	a	DET
ap-7733	85	16	new	new	ADJ
ap-7733	85	17	interaction	interaction	NOUN
ap-7733	85	18	term	term	NOUN
ap-7733	86	1	,	,	PUNCT
ap-7733	86	2	[	[	X
ap-7733	86	3	25	25	NUM
ap-7733	86	4	]	]	X
ap-7733	86	5	he	he	PRON
ap-7733	86	6	=	=	PUNCT
ap-7733	86	7	h	h	NOUN
ap-7733	86	8	+	+	CCONJ
ap-7733	86	9	(	(	PUNCT
ap-7733	86	10	α1	α1	PROPN
ap-7733	86	11	+	+	CCONJ
ap-7733	86	12	α2ω	α2ω	NOUN
ap-7733	86	13	2ρ2	2ρ2	NUM
ap-7733	86	14	)	)	PUNCT
ap-7733	86	15	(	(	PUNCT
ap-7733	86	16	β1	β1	VERB
ap-7733	86	17	+	+	CCONJ
ap-7733	86	18	β2ω2ρ2)2	β2ω2ρ2)2	NOUN
ap-7733	86	19	=	=	ADJ
ap-7733	86	20	h	h	NOUN
ap-7733	87	1	+	+	CCONJ
ap-7733	87	2	vnew	vnew	ADJ
ap-7733	87	3	,	,	PUNCT
ap-7733	87	4	(	(	PUNCT
ap-7733	87	5	7	7	X
ap-7733	87	6	)	)	PUNCT
ap-7733	87	7	where	where	SCONJ
ap-7733	87	8	α1,2	α1,2	ADJ
ap-7733	87	9	and	and	CCONJ
ap-7733	87	10	β1,2	β1,2	NUM
ap-7733	87	11	are	be	AUX
ap-7733	87	12	unknown	unknown	ADJ
ap-7733	87	13	constants	constant	NOUN
ap-7733	87	14	and	and	CCONJ
ap-7733	87	15	will	will	AUX
ap-7733	87	16	be	be	AUX
ap-7733	87	17	fixed	fix	VERB
ap-7733	87	18	later	later	ADV
ap-7733	87	19	.	.	PUNCT
ap-7733	88	1	we	we	PRON
ap-7733	88	2	would	would	AUX
ap-7733	88	3	like	like	VERB
ap-7733	88	4	to	to	PART
ap-7733	88	5	show	show	VERB
ap-7733	88	6	that	that	SCONJ
ap-7733	88	7	this	this	PRON
ap-7733	88	8	he	he	PRON
ap-7733	88	9	will	will	AUX
ap-7733	88	10	correspond	correspond	VERB
ap-7733	88	11	to	to	ADP
ap-7733	88	12	the	the	DET
ap-7733	88	13	rational	rational	ADJ
ap-7733	88	14	extension	extension	NOUN
ap-7733	88	15	of	of	ADP
ap-7733	88	16	this	this	DET
ap-7733	88	17	tcs	tcs	NOUN
ap-7733	88	18	model	model	NOUN
ap-7733	88	19	for	for	ADP
ap-7733	88	20	some	some	DET
ap-7733	88	21	specific	specific	ADJ
ap-7733	88	22	values	value	NOUN
ap-7733	88	23	of	of	ADP
ap-7733	88	24	the	the	DET
ap-7733	88	25	parameters	parameter	NOUN
ap-7733	88	26	α1,2	α1,2	ADJ
ap-7733	88	27	and	and	CCONJ
ap-7733	88	28	β1,2	β1,2	NUM
ap-7733	88	29	.	.	PUNCT
ap-7733	89	1	since	since	SCONJ
ap-7733	89	2	vnew	vnew	ADJ
ap-7733	89	3	depends	depend	VERB
ap-7733	89	4	only	only	ADV
ap-7733	89	5	on	on	ADP
ap-7733	89	6	radial	radial	ADJ
ap-7733	89	7	coordinate	coordinate	NOUN
ap-7733	89	8	,	,	PUNCT
ap-7733	89	9	ρ	ρ	NOUN
ap-7733	89	10	,	,	PUNCT
ap-7733	89	11	only	only	ADV
ap-7733	89	12	the	the	DET
ap-7733	89	13	radial	radial	ADJ
ap-7733	89	14	equation	equation	NOUN
ap-7733	89	15	will	will	AUX
ap-7733	89	16	be	be	AUX
ap-7733	89	17	modified	modify	VERB
ap-7733	89	18	and	and	CCONJ
ap-7733	89	19	angular	angular	ADJ
ap-7733	89	20	equation	equation	NOUN
ap-7733	89	21	will	will	AUX
ap-7733	89	22	be	be	AUX
ap-7733	89	23	the	the	DET
ap-7733	89	24	same	same	ADJ
ap-7733	89	25	as	as	ADP
ap-7733	89	26	in	in	ADP
ap-7733	89	27	the	the	DET
ap-7733	89	28	case	case	NOUN
ap-7733	89	29	of	of	ADP
ap-7733	89	30	the	the	DET
ap-7733	89	31	tcs	tcs	NOUN
ap-7733	89	32	model	model	NOUN
ap-7733	89	33	.	.	PUNCT
ap-7733	90	1	the	the	DET
ap-7733	90	2	radial	radial	ADJ
ap-7733	90	3	part	part	NOUN
ap-7733	90	4	is	be	AUX
ap-7733	90	5	obtained	obtain	VERB
ap-7733	90	6	having	have	VERB
ap-7733	90	7	the	the	DET
ap-7733	90	8	same	same	ADJ
ap-7733	90	9	substitution	substitution	NOUN
ap-7733	90	10	as	as	ADP
ap-7733	90	11	in	in	ADP
ap-7733	90	12	eq	eq	ADP
ap-7733	90	13	.	.	PUNCT
ap-7733	91	1	(	(	PUNCT
ap-7733	91	2	4	4	NUM
ap-7733	91	3	)	)	PUNCT
ap-7733	91	4	in	in	ADP
ap-7733	91	5	the	the	DET
ap-7733	91	6	earlier	early	ADJ
ap-7733	91	7	section	section	NOUN
ap-7733	91	8	for	for	ADP
ap-7733	91	9	the	the	DET
ap-7733	91	10	hamiltonian	hamiltonian	NOUN
ap-7733	91	11	he	he	PRON
ap-7733	91	12	φ′′	φ′′	PROPN
ap-7733	91	13	ext(ρ	ext(ρ	PROPN
ap-7733	91	14	)	)	PUNCT
ap-7733	92	1	+	+	CCONJ
ap-7733	92	2	(	(	PUNCT
ap-7733	92	3	n	n	X
ap-7733	92	4	+	+	CCONJ
ap-7733	92	5	2s−	2s−	NUM
ap-7733	92	6	1	1	NUM
ap-7733	92	7	+	+	NOUN
ap-7733	92	8	λr(2n	λr(2n	NOUN
ap-7733	92	9	−	−	NOUN
ap-7733	92	10	r	r	NOUN
ap-7733	92	11	−	−	NOUN
ap-7733	92	12	1	1	NUM
ap-7733	92	13	)	)	PUNCT
ap-7733	92	14	)	)	PUNCT
ap-7733	92	15	1	1	NUM
ap-7733	92	16	ρ	ρ	PROPN
ap-7733	92	17	φ′	φ′	NUM
ap-7733	92	18	ext(ρ	ext(ρ	PROPN
ap-7733	92	19	)	)	PUNCT
ap-7733	93	1	+	+	CCONJ
ap-7733	93	2	2	2	NUM
ap-7733	93	3	(	(	PUNCT
ap-7733	93	4	e	e	NOUN
ap-7733	93	5	−	−	PROPN
ap-7733	93	6	(	(	PUNCT
ap-7733	93	7	1	1	NUM
ap-7733	93	8	2ω	2ω	NUM
ap-7733	93	9	2ρ2	2ρ2	NUM
ap-7733	93	10	+	+	CCONJ
ap-7733	93	11	vnew	vnew	ADJ
ap-7733	93	12	)	)	PUNCT
ap-7733	93	13	)	)	PUNCT
ap-7733	94	1	φext(ρ	φext(ρ	X
ap-7733	94	2	)	)	PUNCT
ap-7733	94	3	=	=	SYM
ap-7733	94	4	0	0	NUM
ap-7733	94	5	,	,	PUNCT
ap-7733	94	6	(	(	PUNCT
ap-7733	94	7	8)	8)	NUM
ap-7733	94	8	with	with	ADP
ap-7733	94	9	ps(x	ps(x	NOUN
ap-7733	94	10	)	)	PUNCT
ap-7733	94	11	satisfying	satisfy	VERB
ap-7733	94	12	the	the	DET
ap-7733	94	13	same	same	ADJ
ap-7733	94	14	generalised	generalised	ADJ
ap-7733	94	15	laplace	laplace	NOUN
ap-7733	94	16	equation	equation	NOUN
ap-7733	94	17	as	as	ADP
ap-7733	94	18	in	in	ADP
ap-7733	94	19	eq	eq	NOUN
ap-7733	94	20	.	.	PUNCT
ap-7733	94	21	(	(	PUNCT
ap-7733	94	22	3	3	NUM
ap-7733	94	23	)	)	PUNCT
ap-7733	94	24	.	.	PUNCT
ap-7733	95	1	note	note	VERB
ap-7733	95	2	that	that	SCONJ
ap-7733	95	3	here	here	ADV
ap-7733	95	4	,	,	PUNCT
ap-7733	95	5	a	a	DET
ap-7733	95	6	prime	prime	NOUN
ap-7733	95	7	on	on	ADP
ap-7733	95	8	φext(ρ	φext(ρ	NOUN
ap-7733	95	9	)	)	PUNCT
ap-7733	95	10	indicates	indicate	VERB
ap-7733	95	11	a	a	DET
ap-7733	95	12	derivative	derivative	NOUN
ap-7733	95	13	with	with	ADP
ap-7733	95	14	respect	respect	NOUN
ap-7733	95	15	to	to	ADP
ap-7733	95	16	ρ	ρ	PROPN
ap-7733	95	17	.	.	PUNCT
ap-7733	96	1	we	we	PRON
ap-7733	96	2	further	far	ADV
ap-7733	96	3	substitute	substitute	NOUN
ap-7733	96	4	,	,	PUNCT
ap-7733	96	5	φext(ρ	φext(ρ	NOUN
ap-7733	96	6	)	)	PUNCT
ap-7733	96	7	=	=	PUNCT
ap-7733	96	8	f(ρ)ζ(g(ρ	f(ρ)ζ(g(ρ	NUM
ap-7733	96	9	)	)	PUNCT
ap-7733	96	10	)	)	PUNCT
ap-7733	96	11	,	,	PUNCT
ap-7733	96	12	(	(	PUNCT
ap-7733	96	13	9	9	X
ap-7733	96	14	)	)	PUNCT
ap-7733	96	15	in	in	ADP
ap-7733	96	16	eq	eq	NOUN
ap-7733	96	17	.	.	PROPN
ap-7733	96	18	8	8	NUM
ap-7733	96	19	where	where	SCONJ
ap-7733	96	20	f(ρ	f(ρ	NOUN
ap-7733	96	21	)	)	PUNCT
ap-7733	96	22	and	and	CCONJ
ap-7733	96	23	g(ρ	g(ρ	PROPN
ap-7733	96	24	)	)	PUNCT
ap-7733	96	25	are	be	AUX
ap-7733	96	26	two	two	NUM
ap-7733	96	27	undermined	undermined	ADJ
ap-7733	96	28	functions	function	NOUN
ap-7733	96	29	and	and	CCONJ
ap-7733	96	30	ζ(g	ζ(g	NOUN
ap-7733	96	31	)	)	PUNCT
ap-7733	96	32	is	be	AUX
ap-7733	96	33	a	a	DET
ap-7733	96	34	special	special	ADJ
ap-7733	96	35	function	function	NOUN
ap-7733	96	36	to	to	PART
ap-7733	96	37	obtain	obtain	VERB
ap-7733	96	38	ζ	ζ	NOUN
ap-7733	96	39	′′(g	′′(g	PROPN
ap-7733	96	40	)	)	PUNCT
ap-7733	97	1	+	+	CCONJ
ap-7733	97	2	(	(	PUNCT
ap-7733	97	3	2f	2f	NUM
ap-7733	97	4	′(ρ	′(ρ	NOUN
ap-7733	97	5	)	)	PUNCT
ap-7733	97	6	f(ρ)g′(ρ	f(ρ)g′(ρ	PROPN
ap-7733	97	7	)	)	PUNCT
ap-7733	97	8	+	+	CCONJ
ap-7733	97	9	g′′(ρ	g′′(ρ	ADJ
ap-7733	97	10	)	)	PUNCT
ap-7733	97	11	g′(ρ)2	g′(ρ)2	NOUN
ap-7733	97	12	+	+	CCONJ
ap-7733	97	13	τ	τ	X
ap-7733	97	14	ρg′(ρ	ρg′(ρ	NOUN
ap-7733	97	15	)	)	PUNCT
ap-7733	97	16	)	)	PUNCT
ap-7733	97	17	ζ	ζ	NOUN
ap-7733	97	18	′(g	′(g	NOUN
ap-7733	97	19	)	)	PUNCT
ap-7733	98	1	+	+	CCONJ
ap-7733	98	2	1	1	NUM
ap-7733	98	3	g′(ρ)2	g′(ρ)2	NOUN
ap-7733	98	4	(	(	PUNCT
ap-7733	98	5	f	f	NOUN
ap-7733	98	6	′′(ρ	′′(ρ	NOUN
ap-7733	98	7	)	)	PUNCT
ap-7733	98	8	f(ρ	f(ρ	NOUN
ap-7733	98	9	)	)	PUNCT
ap-7733	98	10	+	+	CCONJ
ap-7733	98	11	τf	τf	ADP
ap-7733	98	12	′(ρ	′(ρ	NOUN
ap-7733	98	13	)	)	PUNCT
ap-7733	98	14	ρf(ρ	ρf(ρ	NOUN
ap-7733	98	15	)	)	PUNCT
ap-7733	99	1	+	+	CCONJ
ap-7733	99	2	2(eext	2(eext	NUM
ap-7733	99	3	−	−	NOUN
ap-7733	99	4	vext	vext	ADJ
ap-7733	99	5	)	)	PUNCT
ap-7733	99	6	)	)	PUNCT
ap-7733	100	1	ζ(g	ζ(g	NOUN
ap-7733	100	2	)	)	PUNCT
ap-7733	100	3	=	=	SYM
ap-7733	101	1	0	0	NUM
ap-7733	101	2	,	,	PUNCT
ap-7733	101	3	(	(	PUNCT
ap-7733	101	4	10	10	NUM
ap-7733	101	5	)	)	PUNCT
ap-7733	101	6	where	where	SCONJ
ap-7733	101	7	,	,	PUNCT
ap-7733	101	8	τ	τ	PROPN
ap-7733	101	9	=	=	PUNCT
ap-7733	101	10	(	(	PUNCT
ap-7733	101	11	n	n	PROPN
ap-7733	101	12	+	+	CCONJ
ap-7733	101	13	2s−	2s−	NUM
ap-7733	101	14	1	1	NUM
ap-7733	101	15	+	+	NOUN
ap-7733	101	16	λr(2n	λr(2n	NOUN
ap-7733	101	17	−	−	NOUN
ap-7733	101	18	r	r	NOUN
ap-7733	101	19	−	−	NOUN
ap-7733	101	20	1	1	NUM
ap-7733	101	21	)	)	PUNCT
ap-7733	101	22	)	)	PUNCT
ap-7733	102	1	and	and	CCONJ
ap-7733	102	2	eext	eext	NOUN
ap-7733	102	3	is	be	AUX
ap-7733	102	4	exactly	exactly	ADV
ap-7733	102	5	same	same	ADJ
ap-7733	102	6	as	as	SCONJ
ap-7733	102	7	en	en	ADV
ap-7733	102	8	given	give	VERB
ap-7733	102	9	in	in	ADP
ap-7733	102	10	eq	eq	ADP
ap-7733	102	11	.	.	PUNCT
ap-7733	103	1	(	(	PUNCT
ap-7733	103	2	5	5	X
ap-7733	103	3	)	)	PUNCT
ap-7733	103	4	we	we	PRON
ap-7733	103	5	now	now	ADV
ap-7733	103	6	compare	compare	VERB
ap-7733	103	7	this	this	DET
ap-7733	103	8	differential	differential	ADJ
ap-7733	103	9	equation	equation	NOUN
ap-7733	103	10	satisfied	satisfy	VERB
ap-7733	103	11	by	by	ADP
ap-7733	103	12	ζ(g(ρ	ζ(g(ρ	PROPN
ap-7733	103	13	)	)	PUNCT
ap-7733	103	14	)	)	PUNCT
ap-7733	103	15	with	with	ADP
ap-7733	103	16	the	the	DET
ap-7733	103	17	differential	differential	ADJ
ap-7733	103	18	equation	equation	NOUN
ap-7733	103	19	satisfied	satisfy	VERB
ap-7733	103	20	by	by	ADP
ap-7733	103	21	the	the	DET
ap-7733	103	22	x1	x1	PROPN
ap-7733	103	23	laguerre	laguerre	NOUN
ap-7733	103	24	polynomial	polynomial	PROPN
ap-7733	103	25	l̂(α	l̂(α	PROPN
ap-7733	103	26	)	)	PUNCT
ap-7733	103	27	n	n	CCONJ
ap-7733	103	28	(	(	PUNCT
ap-7733	103	29	g	g	NOUN
ap-7733	103	30	)	)	PUNCT
ap-7733	103	31	l̂	l̂	X
ap-7733	104	1	′′(α	′′(α	NOUN
ap-7733	104	2	)	)	PUNCT
ap-7733	105	1	n	n	PROPN
ap-7733	105	2	(	(	PUNCT
ap-7733	105	3	g(ρ	g(ρ	PROPN
ap-7733	105	4	)	)	PUNCT
ap-7733	105	5	)	)	PUNCT
ap-7733	106	1	−	−	PROPN
ap-7733	106	2	(	(	PUNCT
ap-7733	106	3	g	g	NOUN
ap-7733	106	4	−	−	PROPN
ap-7733	106	5	α)(g	α)(g	NUM
ap-7733	107	1	+	+	NUM
ap-7733	107	2	α	α	NOUN
ap-7733	107	3	+	+	NOUN
ap-7733	107	4	1	1	X
ap-7733	107	5	)	)	PUNCT
ap-7733	107	6	g(g	g(g	PROPN
ap-7733	107	7	+	+	CCONJ
ap-7733	107	8	α	α	X
ap-7733	107	9	)	)	PUNCT
ap-7733	107	10	l̂	l̂	X
ap-7733	107	11	′(α	′(α	NOUN
ap-7733	107	12	)	)	PUNCT
ap-7733	108	1	n	n	CCONJ
ap-7733	108	2	(	(	PUNCT
ap-7733	108	3	g(ρ	g(ρ	PROPN
ap-7733	108	4	)	)	PUNCT
ap-7733	108	5	)	)	PUNCT
ap-7733	109	1	+	+	CCONJ
ap-7733	109	2	1	1	NUM
ap-7733	109	3	g	g	NOUN
ap-7733	109	4	(	(	PUNCT
ap-7733	109	5	(	(	PUNCT
ap-7733	109	6	g	g	NOUN
ap-7733	109	7	−	−	PROPN
ap-7733	109	8	α	α	NOUN
ap-7733	109	9	)	)	PUNCT
ap-7733	109	10	(	(	PUNCT
ap-7733	109	11	g	g	PROPN
ap-7733	109	12	+	+	NOUN
ap-7733	109	13	α	α	NOUN
ap-7733	109	14	)	)	PUNCT
ap-7733	109	15	+	+	CCONJ
ap-7733	109	16	n	n	CCONJ
ap-7733	109	17	−	−	NUM
ap-7733	109	18	1	1	NUM
ap-7733	109	19	)	)	PUNCT
ap-7733	109	20	l̂(α	l̂(α	PROPN
ap-7733	109	21	)	)	PUNCT
ap-7733	109	22	n	n	CCONJ
ap-7733	109	23	(	(	PUNCT
ap-7733	109	24	g(ρ	g(ρ	PROPN
ap-7733	109	25	)	)	PUNCT
ap-7733	109	26	)	)	PUNCT
ap-7733	110	1	=	=	PUNCT
ap-7733	110	2	0	0	NUM
ap-7733	110	3	;	;	PUNCT
ap-7733	110	4	n	n	PRON
ap-7733	110	5	≥	≥	NOUN
ap-7733	110	6	1	1	NUM
ap-7733	110	7	,	,	PUNCT
ap-7733	110	8	(	(	PUNCT
ap-7733	110	9	11	11	NUM
ap-7733	110	10	)	)	PUNCT
ap-7733	110	11	to	to	PART
ap-7733	110	12	obtain	obtain	VERB
ap-7733	110	13	(	(	PUNCT
ap-7733	110	14	with	with	ADP
ap-7733	110	15	n	n	PRON
ap-7733	110	16	→	→	SYM
ap-7733	110	17	n+	n+	NUM
ap-7733	110	18	1	1	NUM
ap-7733	110	19	,	,	PUNCT
ap-7733	110	20	)	)	PUNCT
ap-7733	110	21	vext	vext	NOUN
ap-7733	110	22	=	=	SYM
ap-7733	110	23	1	1	NUM
ap-7733	110	24	2ω	2ω	NUM
ap-7733	110	25	2ρ2	2ρ2	NUM
ap-7733	110	26	+	+	NUM
ap-7733	110	27	4ω	4ω	NOUN
ap-7733	110	28	(	(	PUNCT
ap-7733	110	29	2ωρ2	2ωρ2	NUM
ap-7733	110	30	+	+	CCONJ
ap-7733	110	31	τ	τ	PROPN
ap-7733	110	32	−	−	NUM
ap-7733	110	33	1	1	NUM
ap-7733	110	34	)	)	PUNCT
ap-7733	110	35	−	−	PROPN
ap-7733	110	36	8ω(τ	8ω(τ	NUM
ap-7733	110	37	−	−	NOUN
ap-7733	110	38	1	1	NUM
ap-7733	110	39	)	)	PUNCT
ap-7733	110	40	(	(	PUNCT
ap-7733	110	41	2ωρ2	2ωρ2	NUM
ap-7733	110	42	+	+	CCONJ
ap-7733	110	43	τ	τ	PROPN
ap-7733	111	1	−	−	PROPN
ap-7733	111	2	1)2	1)2	NUM
ap-7733	111	3	,	,	PUNCT
ap-7733	111	4	(	(	PUNCT
ap-7733	111	5	12	12	NUM
ap-7733	111	6	)	)	PUNCT
ap-7733	111	7	and	and	CCONJ
ap-7733	111	8	f(ρ	f(ρ	NOUN
ap-7733	111	9	)	)	PUNCT
ap-7733	111	10	≃	≃	NOUN
ap-7733	111	11	(	(	PUNCT
ap-7733	111	12	g′(ρ))−	g′(ρ))−	ADJ
ap-7733	111	13	1	1	NUM
ap-7733	111	14	2	2	NUM
ap-7733	111	15	ρ−	ρ−	NOUN
ap-7733	111	16	α	α	NOUN
ap-7733	111	17	2	2	NUM
ap-7733	111	18	exp	exp	NOUN
ap-7733	111	19	(	(	PUNCT
ap-7733	111	20	1	1	NUM
ap-7733	111	21	2	2	NUM
ap-7733	111	22	∫	∫	NOUN
ap-7733	111	23	g	g	PROPN
ap-7733	112	1	[	[	X
ap-7733	112	2	−	−	X
ap-7733	112	3	(	(	PUNCT
ap-7733	112	4	g	g	NOUN
ap-7733	112	5	−	−	PROPN
ap-7733	112	6	α)(g	α)(g	NUM
ap-7733	112	7	+	+	CCONJ
ap-7733	112	8	α+	α+	PUNCT
ap-7733	112	9	1	1	NUM
ap-7733	112	10	)	)	PUNCT
ap-7733	112	11	g(g	g(g	PROPN
ap-7733	112	12	+	+	CCONJ
ap-7733	112	13	α	α	NOUN
ap-7733	112	14	)	)	PUNCT
ap-7733	112	15	]	]	X
ap-7733	112	16	dg	dg	X
ap-7733	112	17	)	)	PUNCT
ap-7733	112	18	.	.	PUNCT
ap-7733	113	1	(	(	PUNCT
ap-7733	113	2	13	13	NUM
ap-7733	113	3	)	)	PUNCT
ap-7733	113	4	for	for	ADP
ap-7733	113	5	a	a	DET
ap-7733	113	6	given	give	VERB
ap-7733	113	7	g(ρ	g(ρ	PROPN
ap-7733	113	8	)	)	PUNCT
ap-7733	113	9	as	as	SCONJ
ap-7733	113	10	defined	define	VERB
ap-7733	113	11	in	in	ADP
ap-7733	113	12	the	the	DET
ap-7733	113	13	case	case	NOUN
ap-7733	113	14	of	of	ADP
ap-7733	113	15	a	a	DET
ap-7733	113	16	conventional	conventional	ADJ
ap-7733	113	17	model	model	NOUN
ap-7733	113	18	g(ρ	g(ρ	PROPN
ap-7733	113	19	)	)	PUNCT
ap-7733	113	20	=	=	PUNCT
ap-7733	113	21	ωρ2	ωρ2	PROPN
ap-7733	113	22	;	;	PUNCT
ap-7733	113	23	α	α	X
ap-7733	113	24	=	=	SYM
ap-7733	113	25	τ	τ	PROPN
ap-7733	113	26	2	2	NUM
ap-7733	113	27	−	−	NOUN
ap-7733	113	28	1	1	NUM
ap-7733	113	29	2	2	NUM
ap-7733	113	30	.	.	PUNCT
ap-7733	114	1	(	(	PUNCT
ap-7733	114	2	14	14	NUM
ap-7733	114	3	)	)	PUNCT
ap-7733	114	4	the	the	DET
ap-7733	114	5	energy	energy	NOUN
ap-7733	114	6	eigenvalues	eigenvalue	VERB
ap-7733	114	7	eext	eext	NOUN
ap-7733	114	8	for	for	ADP
ap-7733	114	9	the	the	DET
ap-7733	114	10	new	new	ADJ
ap-7733	114	11	system	system	NOUN
ap-7733	114	12	with	with	ADP
ap-7733	114	13	the	the	DET
ap-7733	114	14	potential	potential	NOUN
ap-7733	114	15	in	in	ADP
ap-7733	114	16	eq	eq	NOUN
ap-7733	114	17	.	.	PROPN
ap-7733	114	18	12	12	NUM
ap-7733	114	19	turn	turn	VERB
ap-7733	114	20	out	out	ADP
ap-7733	114	21	to	to	PART
ap-7733	114	22	be	be	AUX
ap-7733	114	23	the	the	DET
ap-7733	114	24	same	same	ADJ
ap-7733	114	25	as	as	ADP
ap-7733	114	26	that	that	PRON
ap-7733	114	27	of	of	ADP
ap-7733	114	28	the	the	DET
ap-7733	114	29	conventional	conventional	ADJ
ap-7733	114	30	tcs	tcs	NOUN
ap-7733	114	31	model	model	NOUN
ap-7733	114	32	as	as	SCONJ
ap-7733	114	33	discussed	discuss	VERB
ap-7733	114	34	in	in	ADP
ap-7733	114	35	section	section	NOUN
ap-7733	114	36	2	2	NUM
ap-7733	114	37	and	and	CCONJ
ap-7733	114	38	are	be	AUX
ap-7733	114	39	given	give	VERB
ap-7733	114	40	by	by	ADP
ap-7733	114	41	eq	eq	PROPN
ap-7733	114	42	.	.	PUNCT
ap-7733	115	1	(	(	PUNCT
ap-7733	115	2	5	5	NUM
ap-7733	115	3	)	)	PUNCT
ap-7733	115	4	.	.	PUNCT
ap-7733	116	1	however	however	ADV
ap-7733	116	2	,	,	PUNCT
ap-7733	116	3	the	the	DET
ap-7733	116	4	corresponding	correspond	VERB
ap-7733	116	5	eigenfunction	eigenfunction	NOUN
ap-7733	116	6	φext(ρ	φext(ρ	NOUN
ap-7733	116	7	)	)	PUNCT
ap-7733	116	8	is	be	AUX
ap-7733	116	9	completely	completely	ADV
ap-7733	116	10	different	different	ADJ
ap-7733	116	11	.	.	PUNCT
ap-7733	117	1	using	use	VERB
ap-7733	117	2	f(ρ	f(ρ	NOUN
ap-7733	117	3	)	)	PUNCT
ap-7733	117	4	and	and	CCONJ
ap-7733	117	5	replacing	replace	VERB
ap-7733	117	6	ζ(g	ζ(g	NOUN
ap-7733	117	7	)	)	PUNCT
ap-7733	117	8	→	→	SYM
ap-7733	117	9	l̂	l̂	X
ap-7733	117	10	(	(	PUNCT
ap-7733	117	11	α	α	NOUN
ap-7733	117	12	)	)	PUNCT
ap-7733	117	13	n+1(g	n+1(g	NUM
ap-7733	117	14	)	)	PUNCT
ap-7733	117	15	in	in	ADP
ap-7733	117	16	eq	eq	ADP
ap-7733	117	17	.	.	PUNCT
ap-7733	118	1	(	(	PUNCT
ap-7733	118	2	9	9	NUM
ap-7733	118	3	)	)	PUNCT
ap-7733	118	4	,	,	PUNCT
ap-7733	118	5	the	the	DET
ap-7733	118	6	expressions	expression	NOUN
ap-7733	118	7	for	for	ADP
ap-7733	118	8	the	the	DET
ap-7733	118	9	energy	energy	NOUN
ap-7733	118	10	eigenfunctions	eigenfunction	NOUN
ap-7733	118	11	are	be	AUX
ap-7733	118	12	obtained	obtain	VERB
ap-7733	118	13	in	in	ADP
ap-7733	118	14	terms	term	NOUN
ap-7733	118	15	of	of	ADP
ap-7733	118	16	x1	x1	PRON
ap-7733	118	17	exceptional	exceptional	ADJ
ap-7733	118	18	orthogonal	orthogonal	ADJ
ap-7733	118	19	laguerre	laguerre	NOUN
ap-7733	118	20	polynomials	polynomial	NOUN
ap-7733	118	21	(	(	PUNCT
ap-7733	118	22	l̂(α	l̂(α	NOUN
ap-7733	118	23	)	)	PUNCT
ap-7733	118	24	n+1(g	n+1(g	NUM
ap-7733	118	25	)	)	PUNCT
ap-7733	118	26	)	)	PUNCT
ap-7733	119	1	as	as	ADP
ap-7733	119	2	φext(ρ	φext(ρ	NOUN
ap-7733	119	3	)	)	PUNCT
ap-7733	119	4	≃	≃	NOUN
ap-7733	119	5	exp(−	exp(−	PROPN
ap-7733	119	6	ωρ2	ωρ2	PROPN
ap-7733	119	7	2	2	NUM
ap-7733	119	8	)	)	PUNCT
ap-7733	119	9	(	(	PUNCT
ap-7733	119	10	2ωρ2	2ωρ2	NUM
ap-7733	119	11	+	+	CCONJ
ap-7733	119	12	α	α	X
ap-7733	119	13	)	)	PUNCT
ap-7733	119	14	l̂	l̂	X
ap-7733	119	15	(	(	PUNCT
ap-7733	119	16	α	α	NOUN
ap-7733	119	17	)	)	PUNCT
ap-7733	119	18	n+1(ωρ2	n+1(ωρ2	NUM
ap-7733	119	19	)	)	PUNCT
ap-7733	119	20	;	;	PUNCT
ap-7733	119	21	n	n	PROPN
ap-7733	119	22	=	=	SYM
ap-7733	119	23	0	0	NUM
ap-7733	119	24	,	,	PUNCT
ap-7733	119	25	1	1	NUM
ap-7733	119	26	,	,	PUNCT
ap-7733	119	27	2	2	NUM
ap-7733	119	28	,	,	PUNCT
ap-7733	119	29	.	.	PUNCT
ap-7733	119	30	.	.	PUNCT
ap-7733	119	31	.	.	PUNCT
ap-7733	120	1	(	(	PUNCT
ap-7733	120	2	15	15	X
ap-7733	120	3	)	)	PUNCT
ap-7733	120	4	note	note	NOUN
ap-7733	120	5	that	that	SCONJ
ap-7733	120	6	the	the	DET
ap-7733	120	7	x1	x1	PROPN
ap-7733	120	8	laguerre	laguerre	NOUN
ap-7733	120	9	polynomial	polynomial	ADJ
ap-7733	120	10	(	(	PUNCT
ap-7733	120	11	l̂(α	l̂(α	PROPN
ap-7733	120	12	)	)	PUNCT
ap-7733	120	13	n+1(g	n+1(g	NOUN
ap-7733	120	14	)	)	PUNCT
ap-7733	120	15	)	)	PUNCT
ap-7733	120	16	is	be	AUX
ap-7733	120	17	related	relate	VERB
ap-7733	120	18	to	to	ADP
ap-7733	120	19	the	the	DET
ap-7733	120	20	classical	classical	ADJ
ap-7733	120	21	laguerre	laguerre	NOUN
ap-7733	120	22	polynomials	polynomial	NOUN
ap-7733	120	23	by	by	ADP
ap-7733	120	24	l̂	l̂	X
ap-7733	120	25	(	(	PUNCT
ap-7733	120	26	α	α	NOUN
ap-7733	120	27	)	)	PUNCT
ap-7733	120	28	n+1(g	n+1(g	NUM
ap-7733	120	29	)	)	PUNCT
ap-7733	121	1	=	=	PRON
ap-7733	121	2	−(g	−(g	VERB
ap-7733	121	3	+	+	CCONJ
ap-7733	121	4	α+	α+	PROPN
ap-7733	121	5	1)l(α	1)l(α	NUM
ap-7733	121	6	)	)	PUNCT
ap-7733	121	7	n	n	CCONJ
ap-7733	121	8	(	(	PUNCT
ap-7733	121	9	g	g	NOUN
ap-7733	121	10	)	)	PUNCT
ap-7733	122	1	+	+	NUM
ap-7733	122	2	l	l	NOUN
ap-7733	122	3	(	(	PUNCT
ap-7733	122	4	α	α	NOUN
ap-7733	122	5	)	)	PUNCT
ap-7733	122	6	n−1(g	n−1(g	PROPN
ap-7733	122	7	)	)	PUNCT
ap-7733	122	8	.	.	PUNCT
ap-7733	123	1	(	(	PUNCT
ap-7733	123	2	16	16	NUM
ap-7733	123	3	)	)	PUNCT
ap-7733	123	4	92	92	NUM
ap-7733	123	5	vol	vol	NOUN
ap-7733	123	6	.	.	PUNCT
ap-7733	124	1	62	62	NUM
ap-7733	124	2	no	no	INTJ
ap-7733	124	3	.	.	PUNCT
ap-7733	125	1	1/2022	1/2022	NUM
ap-7733	125	2	rational	rational	ADJ
ap-7733	125	3	extension	extension	NOUN
ap-7733	125	4	of	of	ADP
ap-7733	125	5	many	many	ADJ
ap-7733	125	6	particle	particle	NOUN
ap-7733	125	7	systems	system	NOUN
ap-7733	125	8	the	the	DET
ap-7733	125	9	constant	constant	ADJ
ap-7733	125	10	parameters	parameter	NOUN
ap-7733	125	11	α1,2	α1,2	ADJ
ap-7733	125	12	and	and	CCONJ
ap-7733	125	13	β1,2	β1,2	NUM
ap-7733	125	14	for	for	ADP
ap-7733	125	15	which	which	PRON
ap-7733	125	16	the	the	DET
ap-7733	125	17	hamiltonian	hamiltonian	NOUN
ap-7733	125	18	(	(	PUNCT
ap-7733	125	19	7	7	X
ap-7733	125	20	)	)	PUNCT
ap-7733	125	21	is	be	AUX
ap-7733	125	22	exactly	exactly	ADV
ap-7733	125	23	solvable	solvable	ADJ
ap-7733	125	24	can	can	AUX
ap-7733	125	25	easily	easily	ADV
ap-7733	125	26	be	be	AUX
ap-7733	125	27	determined	determine	VERB
ap-7733	125	28	by	by	ADP
ap-7733	125	29	comparing	compare	VERB
ap-7733	125	30	eqs	eqs	PROPN
ap-7733	125	31	.	.	PUNCT
ap-7733	126	1	(	(	PUNCT
ap-7733	126	2	7	7	NUM
ap-7733	126	3	)	)	PUNCT
ap-7733	126	4	and	and	CCONJ
ap-7733	126	5	(	(	PUNCT
ap-7733	126	6	12	12	NUM
ap-7733	126	7	)	)	PUNCT
ap-7733	126	8	,	,	PUNCT
ap-7733	126	9	and	and	CCONJ
ap-7733	126	10	one	one	NUM
ap-7733	126	11	finds	find	VERB
ap-7733	126	12	that	that	SCONJ
ap-7733	126	13	α1	α1	NOUN
ap-7733	126	14	=	=	SYM
ap-7733	126	15	−4ω(τ	−4ω(τ	NUM
ap-7733	126	16	−	−	PROPN
ap-7733	126	17	1	1	NUM
ap-7733	126	18	)	)	PUNCT
ap-7733	126	19	;	;	PUNCT
ap-7733	126	20	α2	α2	PROPN
ap-7733	126	21	=	=	SYM
ap-7733	126	22	8	8	NUM
ap-7733	126	23	,	,	PUNCT
ap-7733	126	24	β1	β1	PROPN
ap-7733	126	25	=	=	PUNCT
ap-7733	126	26	τ	τ	PROPN
ap-7733	126	27	−	−	PROPN
ap-7733	126	28	1	1	NUM
ap-7733	126	29	;	;	PUNCT
ap-7733	126	30	and	and	CCONJ
ap-7733	126	31	β2	β2	NOUN
ap-7733	126	32	=	=	NOUN
ap-7733	126	33	2	2	NUM
ap-7733	126	34	/	/	SYM
ap-7733	126	35	ω	ω	NOUN
ap-7733	126	36	.	.	PUNCT
ap-7733	127	1	(	(	PUNCT
ap-7733	127	2	17	17	NUM
ap-7733	127	3	)	)	PUNCT
ap-7733	127	4	in	in	ADP
ap-7733	127	5	the	the	DET
ap-7733	127	6	special	special	ADJ
ap-7733	127	7	cases	case	NOUN
ap-7733	127	8	of	of	ADP
ap-7733	127	9	r	r	NOUN
ap-7733	127	10	=	=	SYM
ap-7733	127	11	1	1	NUM
ap-7733	127	12	and	and	CCONJ
ap-7733	127	13	r	r	NOUN
ap-7733	127	14	=	=	SYM
ap-7733	127	15	n	n	CCONJ
ap-7733	127	16	−	−	PROPN
ap-7733	127	17	1	1	NUM
ap-7733	127	18	,	,	PUNCT
ap-7733	127	19	we	we	PRON
ap-7733	127	20	then	then	ADV
ap-7733	127	21	obtain	obtain	VERB
ap-7733	127	22	the	the	DET
ap-7733	127	23	rational	rational	ADJ
ap-7733	127	24	extension	extension	NOUN
ap-7733	127	25	of	of	ADP
ap-7733	127	26	the	the	DET
ap-7733	127	27	jk	jk	PROPN
ap-7733	127	28	model	model	NOUN
ap-7733	127	29	and	and	CCONJ
ap-7733	127	30	the	the	DET
ap-7733	127	31	csm	csm	NOUN
ap-7733	127	32	,	,	PUNCT
ap-7733	127	33	respectively	respectively	ADV
ap-7733	127	34	.	.	PUNCT
ap-7733	128	1	xm	xm	PROPN
ap-7733	128	2	case	case	NOUN
ap-7733	128	3	:	:	PUNCT
ap-7733	128	4	similar	similar	ADJ
ap-7733	128	5	to	to	ADP
ap-7733	128	6	the	the	DET
ap-7733	128	7	x1	x1	PROPN
ap-7733	128	8	case	case	NOUN
ap-7733	128	9	,	,	PUNCT
ap-7733	128	10	we	we	PRON
ap-7733	128	11	redefine	redefine	VERB
ap-7733	128	12	eqs	eqs	PROPN
ap-7733	128	13	.	.	PUNCT
ap-7733	129	1	(	(	PUNCT
ap-7733	129	2	8)	8)	NUM
ap-7733	129	3	and	and	CCONJ
ap-7733	129	4	(	(	PUNCT
ap-7733	129	5	9	9	NUM
ap-7733	129	6	)	)	PUNCT
ap-7733	129	7	by	by	ADP
ap-7733	129	8	replacing	replace	VERB
ap-7733	129	9	φext(ρ	φext(ρ	NOUN
ap-7733	129	10	)	)	PUNCT
ap-7733	129	11	→	→	SYM
ap-7733	129	12	φm	φm	PROPN
ap-7733	129	13	,	,	PUNCT
ap-7733	129	14	ext(ρ	ext(ρ	PROPN
ap-7733	129	15	)	)	PUNCT
ap-7733	129	16	and	and	CCONJ
ap-7733	129	17	f(ρ	f(ρ	NOUN
ap-7733	129	18	)	)	PUNCT
ap-7733	129	19	→	→	SYM
ap-7733	129	20	fm(ρ	fm(ρ	NUM
ap-7733	129	21	)	)	PUNCT
ap-7733	129	22	,	,	PUNCT
ap-7733	129	23	ζ(g	ζ(g	NOUN
ap-7733	129	24	)	)	PUNCT
ap-7733	129	25	→	→	SYM
ap-7733	129	26	ζm(g	ζm(g	NOUN
ap-7733	129	27	)	)	PUNCT
ap-7733	129	28	,	,	PUNCT
ap-7733	129	29	respectively	respectively	ADV
ap-7733	129	30	.	.	PUNCT
ap-7733	130	1	now	now	ADV
ap-7733	130	2	the	the	DET
ap-7733	130	3	differential	differential	NOUN
ap-7733	130	4	eq	eq	ADP
ap-7733	130	5	.	.	PUNCT
ap-7733	131	1	(	(	PUNCT
ap-7733	131	2	8)	8)	NUM
ap-7733	131	3	will	will	AUX
ap-7733	131	4	also	also	ADV
ap-7733	131	5	be	be	AUX
ap-7733	131	6	m	m	PRON
ap-7733	131	7	dependent	dependent	ADJ
ap-7733	131	8	and	and	CCONJ
ap-7733	131	9	can	can	AUX
ap-7733	131	10	be	be	AUX
ap-7733	131	11	written	write	VERB
ap-7733	131	12	as	as	ADP
ap-7733	131	13	φ′′	φ′′	PROPN
ap-7733	131	14	m	m	PROPN
ap-7733	131	15	,	,	PUNCT
ap-7733	131	16	ext(ρ	ext(ρ	PROPN
ap-7733	131	17	)	)	PUNCT
ap-7733	132	1	+	+	CCONJ
ap-7733	132	2	(	(	PUNCT
ap-7733	132	3	n	n	X
ap-7733	132	4	+	+	CCONJ
ap-7733	132	5	2s−	2s−	NUM
ap-7733	132	6	1	1	NUM
ap-7733	132	7	+	+	NOUN
ap-7733	132	8	λr(2n	λr(2n	NOUN
ap-7733	132	9	−	−	NOUN
ap-7733	132	10	r	r	NOUN
ap-7733	132	11	−	−	NOUN
ap-7733	132	12	1	1	NUM
ap-7733	132	13	)	)	PUNCT
ap-7733	132	14	)	)	PUNCT
ap-7733	132	15	1	1	NUM
ap-7733	132	16	ρ	ρ	PROPN
ap-7733	132	17	φ′	φ′	NUM
ap-7733	132	18	m	m	PROPN
ap-7733	132	19	,	,	PUNCT
ap-7733	132	20	ext(ρ	ext(ρ	PROPN
ap-7733	132	21	)	)	PUNCT
ap-7733	132	22	+	+	CCONJ
ap-7733	132	23	2	2	NUM
ap-7733	132	24	(	(	PUNCT
ap-7733	132	25	e	e	NOUN
ap-7733	132	26	−	−	PROPN
ap-7733	132	27	(	(	PUNCT
ap-7733	132	28	1	1	NUM
ap-7733	132	29	2ω	2ω	NUM
ap-7733	132	30	2ρ2	2ρ2	NUM
ap-7733	132	31	+	+	CCONJ
ap-7733	132	32	vm	vm	PROPN
ap-7733	132	33	,	,	PUNCT
ap-7733	132	34	new	new	ADJ
ap-7733	132	35	)	)	PUNCT
ap-7733	132	36	)	)	PUNCT
ap-7733	132	37	φm	φm	ADP
ap-7733	132	38	,	,	PUNCT
ap-7733	132	39	ext(ρ	ext(ρ	PROPN
ap-7733	132	40	)	)	PUNCT
ap-7733	132	41	=	=	SYM
ap-7733	133	1	0	0	X
ap-7733	133	2	.	.	PUNCT
ap-7733	134	1	(	(	PUNCT
ap-7733	134	2	18	18	NUM
ap-7733	134	3	)	)	PUNCT
ap-7733	134	4	now	now	ADV
ap-7733	134	5	,	,	PUNCT
ap-7733	134	6	we	we	PRON
ap-7733	134	7	proceed	proceed	VERB
ap-7733	134	8	with	with	ADP
ap-7733	134	9	the	the	DET
ap-7733	134	10	steps	step	NOUN
ap-7733	134	11	as	as	ADP
ap-7733	134	12	in	in	ADP
ap-7733	134	13	the	the	DET
ap-7733	134	14	case	case	NOUN
ap-7733	134	15	of	of	ADP
ap-7733	134	16	x1	x1	PROPN
ap-7733	134	17	,	,	PUNCT
ap-7733	134	18	by	by	ADP
ap-7733	134	19	substituting	substitute	VERB
ap-7733	134	20	φm	φm	ADP
ap-7733	134	21	,	,	PUNCT
ap-7733	134	22	ext(ρ	ext(ρ	PROPN
ap-7733	134	23	)	)	PUNCT
ap-7733	134	24	=	=	SYM
ap-7733	134	25	fm(ρ)ζm(g(ρ	fm(ρ)ζm(g(ρ	PROPN
ap-7733	134	26	)	)	PUNCT
ap-7733	134	27	)	)	PUNCT
ap-7733	134	28	in	in	ADP
ap-7733	134	29	the	the	DET
ap-7733	134	30	above	above	ADJ
ap-7733	134	31	equation	equation	NOUN
ap-7733	134	32	to	to	PART
ap-7733	134	33	obtain	obtain	VERB
ap-7733	134	34	the	the	DET
ap-7733	134	35	differential	differential	ADJ
ap-7733	134	36	equation	equation	NOUN
ap-7733	134	37	for	for	ADP
ap-7733	134	38	ζm(g	ζm(g	NOUN
ap-7733	134	39	)	)	PUNCT
ap-7733	134	40	,	,	PUNCT
ap-7733	134	41	which	which	PRON
ap-7733	134	42	is	be	AUX
ap-7733	134	43	exactly	exactly	ADV
ap-7733	134	44	same	same	ADJ
ap-7733	134	45	as	as	ADP
ap-7733	134	46	in	in	ADP
ap-7733	134	47	eq	eq	ADP
ap-7733	134	48	.	.	PUNCT
ap-7733	135	1	(	(	PUNCT
ap-7733	135	2	10).then	10).then	X
ap-7733	135	3	,	,	PUNCT
ap-7733	135	4	we	we	PRON
ap-7733	135	5	compare	compare	VERB
ap-7733	135	6	that	that	DET
ap-7733	135	7	equation	equation	NOUN
ap-7733	135	8	with	with	ADP
ap-7733	135	9	the	the	DET
ap-7733	135	10	xm	xm	PROPN
ap-7733	135	11	exceptional	exceptional	ADJ
ap-7733	135	12	laguerre	laguerre	PROPN
ap-7733	135	13	differential	differential	NOUN
ap-7733	135	14	equation	equation	NOUN
ap-7733	135	15	l̂	l̂	NUM
ap-7733	135	16	′′(α	′′(α	NOUN
ap-7733	135	17	)	)	PUNCT
ap-7733	135	18	n	n	CCONJ
ap-7733	135	19	,	,	PUNCT
ap-7733	135	20	m	m	PROPN
ap-7733	135	21	(	(	PUNCT
ap-7733	135	22	g(ρ	g(ρ	PROPN
ap-7733	135	23	)	)	PUNCT
ap-7733	135	24	)	)	PUNCT
ap-7733	136	1	+	+	ADP
ap-7733	136	2	qm(g)l̂	qm(g)l̂	ADJ
ap-7733	136	3	′(α	′(α	NUM
ap-7733	136	4	)	)	PUNCT
ap-7733	136	5	n	n	CCONJ
ap-7733	136	6	,	,	PUNCT
ap-7733	136	7	m(g(ρ	m(g(ρ	NOUN
ap-7733	136	8	)	)	PUNCT
ap-7733	136	9	)	)	PUNCT
ap-7733	137	1	+	+	NOUN
ap-7733	137	2	rm(g)l̂(α	rm(g)l̂(α	NUM
ap-7733	137	3	)	)	PUNCT
ap-7733	137	4	n	n	CCONJ
ap-7733	137	5	,	,	PUNCT
ap-7733	137	6	m(g(ρ	m(g(ρ	NOUN
ap-7733	137	7	)	)	PUNCT
ap-7733	137	8	)	)	PUNCT
ap-7733	137	9	=	=	PUNCT
ap-7733	137	10	0	0	NUM
ap-7733	137	11	,	,	PUNCT
ap-7733	137	12	(	(	PUNCT
ap-7733	137	13	19	19	NUM
ap-7733	137	14	)	)	PUNCT
ap-7733	137	15	with	with	ADP
ap-7733	137	16	qm(g	qm(g	NOUN
ap-7733	137	17	)	)	PUNCT
ap-7733	137	18	=	=	SYM
ap-7733	137	19	1	1	NUM
ap-7733	137	20	g	g	NOUN
ap-7733	137	21	[	[	PUNCT
ap-7733	137	22	(	(	PUNCT
ap-7733	137	23	α+	α+	INTJ
ap-7733	137	24	1	1	NUM
ap-7733	137	25	−	−	NOUN
ap-7733	137	26	g	g	NOUN
ap-7733	137	27	)	)	PUNCT
ap-7733	137	28	−	−	PROPN
ap-7733	137	29	2	2	NUM
ap-7733	137	30	g	g	NOUN
ap-7733	137	31	l	l	NOUN
ap-7733	137	32	(	(	PUNCT
ap-7733	137	33	α	α	NOUN
ap-7733	137	34	)	)	PUNCT
ap-7733	137	35	m−1(−g	m−1(−g	PROPN
ap-7733	137	36	)	)	PUNCT
ap-7733	137	37	l	l	NOUN
ap-7733	137	38	(	(	PUNCT
ap-7733	137	39	α−1	α−1	NOUN
ap-7733	137	40	)	)	PUNCT
ap-7733	137	41	m	m	PROPN
ap-7733	137	42	(	(	PUNCT
ap-7733	137	43	−g	−g	NOUN
ap-7733	137	44	)	)	PUNCT
ap-7733	137	45	]	]	PUNCT
ap-7733	137	46	and	and	CCONJ
ap-7733	137	47	rm(g	rm(g	NOUN
ap-7733	137	48	)	)	PUNCT
ap-7733	137	49	=	=	SYM
ap-7733	137	50	1	1	NUM
ap-7733	137	51	g	g	NOUN
ap-7733	137	52	[	[	PUNCT
ap-7733	137	53	n−	n−	NOUN
ap-7733	137	54	2α	2α	NOUN
ap-7733	137	55	l	l	NOUN
ap-7733	137	56	(	(	PUNCT
ap-7733	137	57	α	α	NOUN
ap-7733	137	58	)	)	PUNCT
ap-7733	137	59	m−1(−g	m−1(−g	PROPN
ap-7733	137	60	)	)	PUNCT
ap-7733	137	61	l	l	NOUN
ap-7733	137	62	(	(	PUNCT
ap-7733	137	63	α	α	NOUN
ap-7733	137	64	)	)	PUNCT
ap-7733	137	65	m	m	PROPN
ap-7733	137	66	(	(	PUNCT
ap-7733	137	67	−g	−g	NOUN
ap-7733	137	68	)	)	PUNCT
ap-7733	137	69	]	]	PUNCT
ap-7733	137	70	(	(	PUNCT
ap-7733	137	71	20	20	NUM
ap-7733	137	72	)	)	PUNCT
ap-7733	137	73	to	to	PART
ap-7733	137	74	get	get	AUX
ap-7733	137	75	(	(	PUNCT
ap-7733	137	76	replacing	replace	VERB
ap-7733	137	77	n	n	ADV
ap-7733	137	78	by	by	ADP
ap-7733	137	79	n+m	n+m	NUM
ap-7733	137	80	)	)	PUNCT
ap-7733	137	81	vm	vm	PROPN
ap-7733	137	82	,	,	PUNCT
ap-7733	137	83	new	new	ADJ
ap-7733	137	84	=	=	SYM
ap-7733	137	85	−2ω2ρ2l	−2ω2ρ2l	X
ap-7733	137	86	(	(	PUNCT
ap-7733	137	87	α+1	α+1	NUM
ap-7733	137	88	)	)	PUNCT
ap-7733	137	89	m−2	m−2	PROPN
ap-7733	137	90	(	(	PUNCT
ap-7733	137	91	−g	−g	NOUN
ap-7733	137	92	)	)	PUNCT
ap-7733	137	93	l	l	NOUN
ap-7733	137	94	(	(	PUNCT
ap-7733	137	95	α−1	α−1	NOUN
ap-7733	137	96	)	)	PUNCT
ap-7733	137	97	m	m	PROPN
ap-7733	137	98	(	(	PUNCT
ap-7733	137	99	−g	−g	NOUN
ap-7733	137	100	)	)	PUNCT
ap-7733	137	101	+	+	SYM
ap-7733	138	1	2ω(α+	2ω(α+	NUM
ap-7733	138	2	ωρ2	ωρ2	NOUN
ap-7733	138	3	−	−	NOUN
ap-7733	138	4	1	1	NUM
ap-7733	138	5	)	)	PUNCT
ap-7733	138	6	l	l	NOUN
ap-7733	138	7	(	(	PUNCT
ap-7733	138	8	α	α	NOUN
ap-7733	138	9	)	)	PUNCT
ap-7733	138	10	m−1(−g	m−1(−g	PROPN
ap-7733	138	11	)	)	PUNCT
ap-7733	138	12	l	l	NOUN
ap-7733	138	13	(	(	PUNCT
ap-7733	138	14	α−1	α−1	NOUN
ap-7733	138	15	)	)	PUNCT
ap-7733	138	16	m	m	PROPN
ap-7733	138	17	(	(	PUNCT
ap-7733	138	18	−g	−g	NOUN
ap-7733	138	19	)	)	PUNCT
ap-7733	139	1	+	+	CCONJ
ap-7733	139	2	4ω2ρ2	4ω2ρ2	NUM
ap-7733	139	3	(	(	PUNCT
ap-7733	139	4	l	l	X
ap-7733	139	5	(	(	PUNCT
ap-7733	139	6	α	α	NOUN
ap-7733	139	7	)	)	PUNCT
ap-7733	139	8	m−1(−g	m−1(−g	PROPN
ap-7733	139	9	)	)	PUNCT
ap-7733	139	10	l	l	NOUN
ap-7733	139	11	(	(	PUNCT
ap-7733	139	12	α−1	α−1	NOUN
ap-7733	139	13	)	)	PUNCT
ap-7733	139	14	m	m	PROPN
ap-7733	139	15	(	(	PUNCT
ap-7733	139	16	−g	−g	NOUN
ap-7733	139	17	)	)	PUNCT
ap-7733	139	18	)	)	PUNCT
ap-7733	139	19	2	2	NUM
ap-7733	139	20	−	−	NOUN
ap-7733	139	21	2mω	2mω	ADJ
ap-7733	139	22	,	,	PUNCT
ap-7733	139	23	(	(	PUNCT
ap-7733	139	24	21	21	NUM
ap-7733	139	25	)	)	PUNCT
ap-7733	139	26	and	and	CCONJ
ap-7733	139	27	f(ρ	f(ρ	NOUN
ap-7733	139	28	)	)	PUNCT
ap-7733	139	29	≃	≃	NOUN
ap-7733	139	30	(	(	PUNCT
ap-7733	139	31	g′(ρ))−	g′(ρ))−	ADJ
ap-7733	139	32	1	1	NUM
ap-7733	139	33	2	2	NUM
ap-7733	139	34	ρ−	ρ−	NOUN
ap-7733	139	35	α	α	NOUN
ap-7733	139	36	2	2	NUM
ap-7733	139	37	exp	exp	NOUN
ap-7733	139	38	(	(	PUNCT
ap-7733	139	39	1	1	NUM
ap-7733	139	40	2	2	NUM
ap-7733	139	41	∫	∫	NOUN
ap-7733	139	42	g	g	PROPN
ap-7733	139	43	qm(g)dg	qm(g)dg	PROPN
ap-7733	139	44	)	)	PUNCT
ap-7733	139	45	.	.	PUNCT
ap-7733	140	1	(	(	PUNCT
ap-7733	140	2	22	22	X
ap-7733	140	3	)	)	PUNCT
ap-7733	140	4	we	we	PRON
ap-7733	140	5	note	note	VERB
ap-7733	140	6	that	that	SCONJ
ap-7733	140	7	the	the	DET
ap-7733	140	8	spectrum	spectrum	NOUN
ap-7733	140	9	for	for	ADP
ap-7733	140	10	the	the	DET
ap-7733	140	11	potential	potential	NOUN
ap-7733	140	12	in	in	ADP
ap-7733	140	13	eq	eq	PROPN
ap-7733	140	14	.	.	PUNCT
ap-7733	141	1	(	(	PUNCT
ap-7733	141	2	21	21	NUM
ap-7733	141	3	)	)	PUNCT
ap-7733	141	4	is	be	AUX
ap-7733	141	5	exactly	exactly	ADV
ap-7733	141	6	same	same	ADJ
ap-7733	141	7	as	as	ADP
ap-7733	141	8	that	that	PRON
ap-7733	141	9	for	for	ADP
ap-7733	141	10	the	the	DET
ap-7733	141	11	potential	potential	NOUN
ap-7733	141	12	in	in	ADP
ap-7733	141	13	eq	eq	ADP
ap-7733	141	14	.	.	PUNCT
ap-7733	142	1	(	(	PUNCT
ap-7733	142	2	12	12	NUM
ap-7733	142	3	)	)	PUNCT
ap-7733	142	4	and	and	CCONJ
ap-7733	142	5	for	for	ADP
ap-7733	142	6	a	a	DET
ap-7733	142	7	usual	usual	ADJ
ap-7733	142	8	tcs	tcs	NOUN
ap-7733	142	9	system	system	NOUN
ap-7733	142	10	.	.	PUNCT
ap-7733	143	1	however	however	ADV
ap-7733	143	2	,	,	PUNCT
ap-7733	143	3	the	the	DET
ap-7733	143	4	eigen	eigen	PROPN
ap-7733	143	5	functions	function	NOUN
ap-7733	143	6	in	in	ADP
ap-7733	143	7	all	all	DET
ap-7733	143	8	three	three	NUM
ap-7733	143	9	cases	case	NOUN
ap-7733	143	10	are	be	AUX
ap-7733	143	11	different	different	ADJ
ap-7733	143	12	.	.	PUNCT
ap-7733	144	1	for	for	ADP
ap-7733	144	2	a	a	DET
ap-7733	144	3	usual	usual	ADJ
ap-7733	144	4	tcs	tcs	NOUN
ap-7733	144	5	model	model	NOUN
ap-7733	144	6	,	,	PUNCT
ap-7733	144	7	these	these	PRON
ap-7733	144	8	are	be	AUX
ap-7733	144	9	in	in	ADP
ap-7733	144	10	terms	term	NOUN
ap-7733	144	11	of	of	ADP
ap-7733	144	12	classical	classical	ADJ
ap-7733	144	13	laguerre	laguerre	NOUN
ap-7733	144	14	polynomials	polynomial	NOUN
ap-7733	144	15	,	,	PUNCT
ap-7733	144	16	in	in	ADP
ap-7733	144	17	case	case	NOUN
ap-7733	144	18	of	of	ADP
ap-7733	144	19	the	the	DET
ap-7733	144	20	potential	potential	NOUN
ap-7733	144	21	in	in	ADP
ap-7733	144	22	eq	eq	ADP
ap-7733	144	23	.	.	PUNCT
ap-7733	145	1	(	(	PUNCT
ap-7733	145	2	12	12	NUM
ap-7733	145	3	)	)	PUNCT
ap-7733	145	4	,	,	PUNCT
ap-7733	145	5	that	that	ADV
ap-7733	145	6	is	is	ADV
ap-7733	145	7	,	,	PUNCT
ap-7733	145	8	in	in	ADP
ap-7733	145	9	the	the	DET
ap-7733	145	10	x1	x1	PROPN
ap-7733	145	11	case	case	NOUN
ap-7733	145	12	,	,	PUNCT
ap-7733	145	13	these	these	PRON
ap-7733	145	14	are	be	AUX
ap-7733	145	15	in	in	ADP
ap-7733	145	16	terms	term	NOUN
ap-7733	145	17	of	of	ADP
ap-7733	145	18	x1	x1	PROPN
ap-7733	145	19	laguerre	laguerre	NOUN
ap-7733	145	20	polynomials	polynomial	NOUN
ap-7733	145	21	and	and	CCONJ
ap-7733	145	22	finally	finally	ADV
ap-7733	145	23	the	the	DET
ap-7733	145	24	wave	wave	NOUN
ap-7733	145	25	functions	function	NOUN
ap-7733	145	26	for	for	ADP
ap-7733	145	27	the	the	DET
ap-7733	145	28	system	system	NOUN
ap-7733	145	29	with	with	ADP
ap-7733	145	30	the	the	DET
ap-7733	145	31	potential	potential	NOUN
ap-7733	145	32	in	in	ADP
ap-7733	145	33	eq	eq	ADP
ap-7733	145	34	.	.	PUNCT
ap-7733	146	1	(	(	PUNCT
ap-7733	146	2	21	21	NUM
ap-7733	146	3	)	)	PUNCT
ap-7733	146	4	are	be	AUX
ap-7733	146	5	in	in	ADP
ap-7733	146	6	terms	term	NOUN
ap-7733	146	7	of	of	ADP
ap-7733	146	8	xm	xm	PROPN
ap-7733	146	9	laguerre	laguerre	NOUN
ap-7733	146	10	polynomials	polynomial	NOUN
ap-7733	146	11	.	.	PUNCT
ap-7733	147	1	the	the	DET
ap-7733	147	2	wave	wave	NOUN
ap-7733	147	3	functions	function	NOUN
ap-7733	147	4	for	for	ADP
ap-7733	147	5	the	the	DET
ap-7733	147	6	system	system	NOUN
ap-7733	147	7	described	describe	VERB
ap-7733	147	8	by	by	ADP
ap-7733	147	9	the	the	DET
ap-7733	147	10	potential	potential	NOUN
ap-7733	147	11	in	in	ADP
ap-7733	147	12	eq	eq	PROPN
ap-7733	147	13	.	.	PUNCT
ap-7733	148	1	(	(	PUNCT
ap-7733	148	2	21	21	NUM
ap-7733	148	3	)	)	PUNCT
ap-7733	148	4	are	be	AUX
ap-7733	148	5	given	give	VERB
ap-7733	148	6	by	by	ADP
ap-7733	148	7	φm	φm	NOUN
ap-7733	148	8	,	,	PUNCT
ap-7733	148	9	ext(ρ	ext(ρ	PROPN
ap-7733	148	10	)	)	PUNCT
ap-7733	148	11	≃	≃	NOUN
ap-7733	148	12	exp(−	exp(−	PROPN
ap-7733	148	13	ωρ2	ωρ2	PROPN
ap-7733	148	14	2	2	NUM
ap-7733	148	15	)	)	PUNCT
ap-7733	148	16	l̂	l̂	X
ap-7733	148	17	(	(	PUNCT
ap-7733	148	18	α−1	α−1	NOUN
ap-7733	148	19	)	)	PUNCT
ap-7733	148	20	m	m	PROPN
ap-7733	148	21	(	(	PUNCT
ap-7733	148	22	−ωρ2	−ωρ2	NOUN
ap-7733	148	23	)	)	PUNCT
ap-7733	148	24	l̂	l̂	X
ap-7733	148	25	(	(	PUNCT
ap-7733	148	26	α	α	NOUN
ap-7733	148	27	)	)	PUNCT
ap-7733	148	28	n+m(ωρ2	n+m(ωρ2	NUM
ap-7733	148	29	)	)	PUNCT
ap-7733	148	30	;	;	PUNCT
ap-7733	148	31	n	n	CCONJ
ap-7733	148	32	,	,	PUNCT
ap-7733	148	33	m	m	VERB
ap-7733	148	34	=	=	NOUN
ap-7733	148	35	0	0	NUM
ap-7733	148	36	,	,	PUNCT
ap-7733	148	37	1	1	NUM
ap-7733	148	38	,	,	PUNCT
ap-7733	148	39	2	2	NUM
ap-7733	148	40	,	,	PUNCT
ap-7733	148	41	.	.	PUNCT
ap-7733	148	42	.	.	PUNCT
ap-7733	148	43	.	.	PUNCT
ap-7733	149	1	(	(	PUNCT
ap-7733	149	2	23	23	NUM
ap-7733	149	3	)	)	PUNCT
ap-7733	149	4	where	where	SCONJ
ap-7733	149	5	the	the	DET
ap-7733	149	6	xm	xm	PROPN
ap-7733	149	7	laguerre	laguerre	PROPN
ap-7733	149	8	polynomial	polynomial	ADJ
ap-7733	149	9	(	(	PUNCT
ap-7733	149	10	l̂(α	l̂(α	NOUN
ap-7733	149	11	)	)	PUNCT
ap-7733	149	12	n+m(g	n+m(g	NOUN
ap-7733	149	13	)	)	PUNCT
ap-7733	149	14	)	)	PUNCT
ap-7733	149	15	is	be	AUX
ap-7733	149	16	related	relate	VERB
ap-7733	149	17	to	to	ADP
ap-7733	149	18	the	the	DET
ap-7733	149	19	classical	classical	ADJ
ap-7733	149	20	laguerre	laguerre	NOUN
ap-7733	149	21	polynomials	polynomial	NOUN
ap-7733	149	22	by	by	ADP
ap-7733	149	23	l̂	l̂	X
ap-7733	149	24	(	(	PUNCT
ap-7733	149	25	α	α	NOUN
ap-7733	149	26	)	)	PUNCT
ap-7733	149	27	n+m(g	n+m(g	NOUN
ap-7733	149	28	)	)	PUNCT
ap-7733	149	29	=	=	SYM
ap-7733	149	30	l(α	l(α	X
ap-7733	149	31	)	)	PUNCT
ap-7733	149	32	m	m	PROPN
ap-7733	149	33	(	(	PUNCT
ap-7733	149	34	−g)l(α−1	−g)l(α−1	ADJ
ap-7733	149	35	)	)	PUNCT
ap-7733	150	1	n	n	CCONJ
ap-7733	150	2	(	(	PUNCT
ap-7733	150	3	g	g	NOUN
ap-7733	150	4	)	)	PUNCT
ap-7733	150	5	+	+	SYM
ap-7733	150	6	l(α−1	l(α−1	X
ap-7733	150	7	)	)	PUNCT
ap-7733	150	8	m	m	VERB
ap-7733	150	9	(	(	PUNCT
ap-7733	150	10	−g)l(α	−g)l(α	NOUN
ap-7733	150	11	)	)	PUNCT
ap-7733	150	12	n−1(g	n−1(g	PROPN
ap-7733	150	13	)	)	PUNCT
ap-7733	150	14	.	.	PUNCT
ap-7733	151	1	(	(	PUNCT
ap-7733	151	2	24	24	NUM
ap-7733	151	3	)	)	PUNCT
ap-7733	151	4	as	as	SCONJ
ap-7733	151	5	expected	expect	VERB
ap-7733	151	6	,	,	PUNCT
ap-7733	151	7	for	for	ADP
ap-7733	151	8	m	m	PROPN
ap-7733	151	9	=	=	SYM
ap-7733	151	10	1	1	NUM
ap-7733	151	11	,	,	PUNCT
ap-7733	151	12	the	the	DET
ap-7733	151	13	above	above	ADJ
ap-7733	151	14	results	result	NOUN
ap-7733	151	15	reduce	reduce	VERB
ap-7733	151	16	to	to	ADP
ap-7733	151	17	the	the	DET
ap-7733	151	18	corresponding	corresponding	ADJ
ap-7733	151	19	x1	x1	PROPN
ap-7733	151	20	-	-	PUNCT
ap-7733	151	21	case	case	NOUN
ap-7733	151	22	,	,	PUNCT
ap-7733	151	23	while	while	SCONJ
ap-7733	151	24	for	for	ADP
ap-7733	151	25	the	the	DET
ap-7733	151	26	m	m	NOUN
ap-7733	151	27	=	=	SYM
ap-7733	151	28	0	0	NUM
ap-7733	151	29	case	case	NOUN
ap-7733	151	30	one	one	PRON
ap-7733	151	31	gets	get	VERB
ap-7733	151	32	back	back	ADV
ap-7733	151	33	the	the	DET
ap-7733	151	34	conventional	conventional	ADJ
ap-7733	151	35	tcs	tcs	NOUN
ap-7733	151	36	model	model	NOUN
ap-7733	151	37	.	.	PUNCT
ap-7733	152	1	in	in	ADP
ap-7733	152	2	the	the	DET
ap-7733	152	3	next	next	ADJ
ap-7733	152	4	section	section	NOUN
ap-7733	152	5	,	,	PUNCT
ap-7733	152	6	we	we	PRON
ap-7733	152	7	will	will	AUX
ap-7733	152	8	consider	consider	VERB
ap-7733	152	9	a	a	DET
ap-7733	152	10	rational	rational	ADJ
ap-7733	152	11	extension	extension	NOUN
ap-7733	152	12	of	of	ADP
ap-7733	152	13	calogero	calogero	PROPN
ap-7733	152	14	like	like	ADP
ap-7733	152	15	many	many	ADJ
ap-7733	152	16	particle	particle	NOUN
ap-7733	152	17	systems	system	NOUN
ap-7733	152	18	.	.	PUNCT
ap-7733	153	1	93	93	NUM
ap-7733	153	2	bhabani	bhabani	PROPN
ap-7733	153	3	prasad	prasad	PROPN
ap-7733	153	4	mandal	mandal	PROPN
ap-7733	153	5	acta	acta	PROPN
ap-7733	153	6	polytechnica	polytechnica	PROPN
ap-7733	153	7	4	4	NUM
ap-7733	153	8	.	.	PUNCT
ap-7733	154	1	qes	qes	NOUN
ap-7733	154	2	many	many	ADJ
ap-7733	154	3	particle	particle	NOUN
ap-7733	154	4	system	system	NOUN
ap-7733	154	5	in	in	ADP
ap-7733	154	6	this	this	DET
ap-7733	154	7	section	section	NOUN
ap-7733	154	8	,	,	PUNCT
ap-7733	154	9	we	we	PRON
ap-7733	154	10	would	would	AUX
ap-7733	154	11	like	like	VERB
ap-7733	154	12	to	to	PART
ap-7733	154	13	discuss	discuss	VERB
ap-7733	154	14	a	a	DET
ap-7733	154	15	rational	rational	ADJ
ap-7733	154	16	extension	extension	NOUN
ap-7733	154	17	of	of	ADP
ap-7733	154	18	calogero	calogero	PROPN
ap-7733	154	19	like	like	ADP
ap-7733	154	20	many	many	ADJ
ap-7733	154	21	particle	particle	NOUN
ap-7733	154	22	systems	system	NOUN
ap-7733	154	23	[	[	X
ap-7733	154	24	24	24	NUM
ap-7733	154	25	]	]	PUNCT
ap-7733	154	26	.	.	PUNCT
ap-7733	155	1	we	we	PRON
ap-7733	155	2	start	start	VERB
ap-7733	155	3	with	with	ADP
ap-7733	155	4	a	a	DET
ap-7733	155	5	many	many	ADJ
ap-7733	155	6	particle	particle	NOUN
ap-7733	155	7	calogero	calogero	NOUN
ap-7733	155	8	like	like	ADP
ap-7733	155	9	hamiltonian	hamiltonian	NOUN
ap-7733	155	10	with	with	ADP
ap-7733	155	11	an	an	DET
ap-7733	155	12	arbitrary	arbitrary	ADJ
ap-7733	155	13	potential	potential	ADJ
ap-7733	155	14	u	u	NOUN
ap-7733	155	15	(	(	PUNCT
ap-7733	155	16	√	√	PROPN
ap-7733	155	17	nρ	nρ	NOUN
ap-7733	155	18	)	)	PUNCT
ap-7733	155	19	,	,	PUNCT
ap-7733	155	20	which	which	PRON
ap-7733	155	21	depends	depend	VERB
ap-7733	155	22	only	only	ADV
ap-7733	155	23	on	on	ADP
ap-7733	155	24	the	the	DET
ap-7733	155	25	‘	'	PUNCT
ap-7733	155	26	radial	radial	ADJ
ap-7733	155	27	’	'	PUNCT
ap-7733	155	28	coordinate	coordinate	NOUN
ap-7733	155	29	ρ	ρ	NUM
ap-7733	155	30	h	h	NOUN
ap-7733	155	31	=	=	PUNCT
ap-7733	156	1	−	−	PROPN
ap-7733	156	2	n∑	n∑	PROPN
ap-7733	156	3	i=1	i=1	PROPN
ap-7733	156	4	∂2	∂2	PROPN
ap-7733	156	5	∂x2	∂x2	NOUN
ap-7733	156	6	i	i	PRON
ap-7733	157	1	+	+	X
ap-7733	158	1	n∑	n∑	ADJ
ap-7733	158	2	i	i	PRON
ap-7733	158	3	<	<	X
ap-7733	158	4	j	j	PROPN
ap-7733	158	5	λ	λ	X
ap-7733	158	6	(	(	PUNCT
ap-7733	158	7	xi	xi	X
ap-7733	158	8	−	−	PROPN
ap-7733	158	9	xj)2	xj)2	PROPN
ap-7733	159	1	+	+	CCONJ
ap-7733	159	2	u	u	NOUN
ap-7733	159	3	(	(	PUNCT
ap-7733	159	4	√	√	NUM
ap-7733	159	5	nρ	nρ	PROPN
ap-7733	159	6	)	)	PUNCT
ap-7733	159	7	;	;	PUNCT
ap-7733	159	8	λ	λ	X
ap-7733	159	9	≥	≥	NOUN
ap-7733	159	10	−1	−1	NOUN
ap-7733	159	11	2	2	NUM
ap-7733	159	12	,	,	PUNCT
ap-7733	159	13	ρ	ρ	NOUN
ap-7733	159	14	=	=	PUNCT
ap-7733	159	15	√√√√	√√√√	PRON
ap-7733	159	16	1	1	NUM
ap-7733	159	17	n	n	NUM
ap-7733	159	18	n∑	n∑	NOUN
ap-7733	160	1	i	i	PRON
ap-7733	160	2	<	<	X
ap-7733	160	3	j	j	PROPN
ap-7733	160	4	(	(	PUNCT
ap-7733	160	5	xi	xi	X
ap-7733	160	6	−	−	PROPN
ap-7733	161	1	xj)2	xj)2	PROPN
ap-7733	161	2	(	(	PUNCT
ap-7733	161	3	25	25	NUM
ap-7733	161	4	)	)	PUNCT
ap-7733	161	5	our	our	PRON
ap-7733	161	6	aim	aim	NOUN
ap-7733	161	7	is	be	AUX
ap-7733	161	8	to	to	PART
ap-7733	161	9	construct	construct	VERB
ap-7733	161	10	a	a	DET
ap-7733	161	11	possible	possible	ADJ
ap-7733	161	12	structure	structure	NOUN
ap-7733	161	13	of	of	ADP
ap-7733	161	14	u	u	PROPN
ap-7733	161	15	(	(	PUNCT
ap-7733	161	16	√	√	PROPN
ap-7733	161	17	nρ	nρ	NOUN
ap-7733	161	18	)	)	PUNCT
ap-7733	161	19	,	,	PUNCT
ap-7733	161	20	for	for	ADP
ap-7733	161	21	which	which	PRON
ap-7733	161	22	the	the	DET
ap-7733	161	23	many	many	ADJ
ap-7733	161	24	particle	particle	NOUN
ap-7733	161	25	model	model	NOUN
ap-7733	161	26	is	be	AUX
ap-7733	161	27	exactly	exactly	ADV
ap-7733	161	28	solvable	solvable	ADJ
ap-7733	161	29	.	.	PUNCT
ap-7733	162	1	to	to	ADP
ap-7733	162	2	this	this	DET
ap-7733	162	3	end	end	NOUN
ap-7733	162	4	,	,	PUNCT
ap-7733	162	5	we	we	PRON
ap-7733	162	6	follow	follow	VERB
ap-7733	162	7	the	the	DET
ap-7733	162	8	standard	standard	ADJ
ap-7733	162	9	method	method	NOUN
ap-7733	162	10	[	[	X
ap-7733	162	11	65–67	65–67	NUM
ap-7733	162	12	]	]	PUNCT
ap-7733	162	13	and	and	CCONJ
ap-7733	162	14	take	take	VERB
ap-7733	162	15	a	a	DET
ap-7733	162	16	trial	trial	NOUN
ap-7733	162	17	wavefunction	wavefunction	NOUN
ap-7733	162	18	for	for	ADP
ap-7733	162	19	ψ(x	ψ(x	NOUN
ap-7733	162	20	)	)	PUNCT
ap-7733	162	21	in	in	ADP
ap-7733	162	22	a	a	DET
ap-7733	162	23	sector	sector	NOUN
ap-7733	162	24	of	of	ADP
ap-7733	162	25	the	the	DET
ap-7733	162	26	configuration	configuration	NOUN
ap-7733	162	27	space	space	NOUN
ap-7733	162	28	corresponding	correspond	VERB
ap-7733	162	29	to	to	ADP
ap-7733	162	30	a	a	DET
ap-7733	162	31	definite	definite	ADJ
ap-7733	162	32	ordering	ordering	NOUN
ap-7733	162	33	of	of	ADP
ap-7733	162	34	particles	particle	NOUN
ap-7733	162	35	(	(	PUNCT
ap-7733	162	36	e.g.	e.g.	ADV
ap-7733	162	37	,	,	PUNCT
ap-7733	162	38	x1	x1	PRON
ap-7733	162	39	≥	≥	NUM
ap-7733	162	40	x2	x2	NOUN
ap-7733	162	41	≥	≥	X
ap-7733	162	42	·	·	PUNCT
ap-7733	162	43	·	·	PUNCT
ap-7733	162	44	·	·	PUNCT
ap-7733	162	45	≥	≥	X
ap-7733	162	46	xn	xn	X
ap-7733	162	47	)	)	PUNCT
ap-7733	162	48	as	as	ADP
ap-7733	162	49	ψ(x	ψ(x	NOUN
ap-7733	162	50	)	)	PUNCT
ap-7733	163	1	=	=	SYM
ap-7733	163	2	∏	∏	PROPN
ap-7733	164	1	i	i	X
ap-7733	164	2	<	<	X
ap-7733	164	3	j	j	PROPN
ap-7733	164	4	(	(	PUNCT
ap-7733	164	5	xi	xi	ADP
ap-7733	164	6	−	−	PROPN
ap-7733	164	7	xj)a+	xj)a+	NOUN
ap-7733	164	8	1	1	NUM
ap-7733	164	9	2pk	2pk	NOUN
ap-7733	164	10	,	,	PUNCT
ap-7733	164	11	q(x)ϕ(ρ),with	q(x)ϕ(ρ),with	ADP
ap-7733	164	12	a	a	DET
ap-7733	164	13	=	=	SYM
ap-7733	164	14	1	1	NUM
ap-7733	164	15	2	2	NUM
ap-7733	164	16	√	√	NUM
ap-7733	164	17	1	1	NUM
ap-7733	164	18	+	+	NUM
ap-7733	164	19	2λ	2λ	NUM
ap-7733	164	20	(	(	PUNCT
ap-7733	164	21	26	26	NUM
ap-7733	164	22	)	)	PUNCT
ap-7733	164	23	and	and	CCONJ
ap-7733	164	24	obtain	obtain	VERB
ap-7733	164	25	the	the	DET
ap-7733	164	26	radial	radial	ADJ
ap-7733	164	27	part	part	NOUN
ap-7733	164	28	differential	differential	ADJ
ap-7733	164	29	equation	equation	NOUN
ap-7733	164	30	,	,	PUNCT
ap-7733	164	31	−[ϕ′′(ρ	−[ϕ′′(ρ	NUM
ap-7733	164	32	)	)	PUNCT
ap-7733	165	1	+	+	CCONJ
ap-7733	165	2	2(k	2(k	NUM
ap-7733	165	3	+	+	CCONJ
ap-7733	165	4	b+	b+	X
ap-7733	165	5	1)1	1)1	NUM
ap-7733	165	6	ρ	ρ	NOUN
ap-7733	165	7	ϕ′(ρ	ϕ′(ρ	PUNCT
ap-7733	165	8	)	)	PUNCT
ap-7733	165	9	]	]	PUNCT
ap-7733	166	1	+	+	CCONJ
ap-7733	166	2	[	[	X
ap-7733	166	3	u	u	X
ap-7733	166	4	(	(	PUNCT
ap-7733	166	5	√	√	NUM
ap-7733	166	6	nρ	nρ	PROPN
ap-7733	166	7	)	)	PUNCT
ap-7733	166	8	−	−	PROPN
ap-7733	166	9	e]ϕ(ρ	e]ϕ(ρ	NOUN
ap-7733	166	10	)	)	PUNCT
ap-7733	166	11	=	=	SYM
ap-7733	166	12	0	0	NUM
ap-7733	166	13	(	(	PUNCT
ap-7733	166	14	27	27	NUM
ap-7733	166	15	)	)	PUNCT
ap-7733	166	16	with	with	ADP
ap-7733	166	17	b	b	NOUN
ap-7733	166	18	=	=	SYM
ap-7733	166	19	n(n−1	n(n−1	PROPN
ap-7733	166	20	)	)	PUNCT
ap-7733	166	21	2	2	NUM
ap-7733	166	22	a+	a+	PUNCT
ap-7733	166	23	n(n+1	n(n+1	NUM
ap-7733	166	24	)	)	PUNCT
ap-7733	166	25	4	4	NUM
ap-7733	166	26	−	−	NOUN
ap-7733	166	27	2	2	NUM
ap-7733	166	28	.	.	PUNCT
ap-7733	167	1	the	the	DET
ap-7733	167	2	angular	angular	ADJ
ap-7733	167	3	part	part	NOUN
ap-7733	167	4	is	be	AUX
ap-7733	167	5	described	describe	VERB
ap-7733	167	6	by	by	ADP
ap-7733	167	7	pk	pk	NOUN
ap-7733	167	8	,	,	PUNCT
ap-7733	167	9	q(x	q(x	PROPN
ap-7733	167	10	)	)	PUNCT
ap-7733	167	11	,	,	PUNCT
ap-7733	167	12	which	which	PRON
ap-7733	167	13	are	be	AUX
ap-7733	167	14	translationally	translationally	ADV
ap-7733	167	15	invariant	invariant	ADJ
ap-7733	167	16	,	,	PUNCT
ap-7733	167	17	symmetric	symmetric	ADJ
ap-7733	167	18	,	,	PUNCT
ap-7733	167	19	k	k	NOUN
ap-7733	167	20	-	-	PUNCT
ap-7733	167	21	th	th	VERB
ap-7733	167	22	order	order	NOUN
ap-7733	167	23	homogeneous	homogeneous	ADJ
ap-7733	167	24	polynomials	polynomial	NOUN
ap-7733	167	25	satisfying	satisfy	VERB
ap-7733	167	26	the	the	DET
ap-7733	167	27	differential	differential	ADJ
ap-7733	167	28	equations	equation	NOUN
ap-7733	168	1	n∑	n∑	PRON
ap-7733	168	2	j=1	j=1	PROPN
ap-7733	168	3	∂2pk	∂2pk	NOUN
ap-7733	168	4	,	,	PUNCT
ap-7733	168	5	q(x	q(x	PROPN
ap-7733	168	6	)	)	PUNCT
ap-7733	168	7	∂x2	∂x2	NOUN
ap-7733	168	8	j	j	NOUN
ap-7733	169	1	+	+	X
ap-7733	169	2	(	(	PUNCT
ap-7733	169	3	a	a	DET
ap-7733	169	4	+	+	NUM
ap-7733	169	5	1	1	NUM
ap-7733	169	6	2	2	NUM
ap-7733	169	7	)	)	PUNCT
ap-7733	169	8	∑	∑	PUNCT
ap-7733	169	9	j	j	PROPN
ap-7733	169	10	̸=k	̸=k	PROPN
ap-7733	169	11	1	1	NUM
ap-7733	169	12	(	(	PUNCT
ap-7733	169	13	xj	xj	PROPN
ap-7733	169	14	−	−	PROPN
ap-7733	169	15	xk	xk	PROPN
ap-7733	169	16	)	)	PUNCT
ap-7733	169	17	(	(	PUNCT
ap-7733	169	18	∂	∂	NUM
ap-7733	169	19	∂xj	∂xj	NOUN
ap-7733	169	20	−	−	PROPN
ap-7733	169	21	∂	∂	NUM
ap-7733	169	22	∂xk	∂xk	PROPN
ap-7733	169	23	)	)	PUNCT
ap-7733	169	24	pk	pk	NOUN
ap-7733	169	25	,	,	PUNCT
ap-7733	169	26	q(x	q(x	PROPN
ap-7733	169	27	)	)	PUNCT
ap-7733	169	28	=	=	SYM
ap-7733	169	29	0	0	PUNCT
ap-7733	169	30	.	.	PUNCT
ap-7733	170	1	(	(	PUNCT
ap-7733	170	2	28	28	NUM
ap-7733	170	3	)	)	PUNCT
ap-7733	170	4	note	note	NOUN
ap-7733	170	5	that	that	SCONJ
ap-7733	170	6	the	the	DET
ap-7733	170	7	index	index	NOUN
ap-7733	170	8	q	q	PUNCT
ap-7733	170	9	in	in	ADP
ap-7733	170	10	pk	pk	NOUN
ap-7733	170	11	,	,	PUNCT
ap-7733	170	12	q(x	q(x	PROPN
ap-7733	170	13	)	)	PUNCT
ap-7733	170	14	can	can	AUX
ap-7733	170	15	take	take	VERB
ap-7733	170	16	any	any	DET
ap-7733	170	17	integral	integral	ADJ
ap-7733	170	18	value	value	NOUN
ap-7733	170	19	ranging	range	VERB
ap-7733	170	20	from	from	ADP
ap-7733	170	21	1	1	NUM
ap-7733	170	22	to	to	ADP
ap-7733	170	23	λ(n	λ(n	PROPN
ap-7733	170	24	,	,	PUNCT
ap-7733	170	25	k	k	NOUN
ap-7733	170	26	)	)	PUNCT
ap-7733	170	27	,	,	PUNCT
ap-7733	170	28	where	where	SCONJ
ap-7733	170	29	λ(n	λ(n	PROPN
ap-7733	170	30	,	,	PUNCT
ap-7733	170	31	k	k	NOUN
ap-7733	170	32	)	)	PUNCT
ap-7733	170	33	is	be	AUX
ap-7733	170	34	the	the	DET
ap-7733	170	35	number	number	NOUN
ap-7733	170	36	of	of	ADP
ap-7733	170	37	independent	independent	ADJ
ap-7733	170	38	polynomials	polynomial	NOUN
ap-7733	170	39	.	.	PUNCT
ap-7733	171	1	the	the	DET
ap-7733	171	2	existence	existence	NOUN
ap-7733	171	3	of	of	ADP
ap-7733	171	4	such	such	ADJ
ap-7733	171	5	translationally	translationally	ADV
ap-7733	171	6	invariant	invariant	ADJ
ap-7733	171	7	,	,	PUNCT
ap-7733	171	8	symmetric	symmetric	ADJ
ap-7733	171	9	and	and	CCONJ
ap-7733	171	10	homogeneous	homogeneous	ADJ
ap-7733	171	11	polynomial	polynomial	ADJ
ap-7733	171	12	solutions	solution	NOUN
ap-7733	171	13	of	of	ADP
ap-7733	171	14	(	(	PUNCT
ap-7733	171	15	28	28	NUM
ap-7733	171	16	)	)	PUNCT
ap-7733	171	17	has	have	AUX
ap-7733	171	18	been	be	AUX
ap-7733	171	19	discussed	discuss	VERB
ap-7733	171	20	in	in	ADP
ap-7733	171	21	the	the	DET
ap-7733	171	22	original	original	ADJ
ap-7733	171	23	work	work	NOUN
ap-7733	171	24	by	by	ADP
ap-7733	171	25	calogero	calogero	PROPN
ap-7733	171	26	[	[	X
ap-7733	171	27	65	65	NUM
ap-7733	171	28	,	,	PUNCT
ap-7733	171	29	66	66	NUM
ap-7733	171	30	]	]	PUNCT
ap-7733	171	31	.	.	PUNCT
ap-7733	172	1	for	for	ADP
ap-7733	172	2	our	our	PRON
ap-7733	172	3	purpose	purpose	NOUN
ap-7733	172	4	,	,	PUNCT
ap-7733	172	5	we	we	PRON
ap-7733	172	6	will	will	AUX
ap-7733	172	7	look	look	VERB
ap-7733	172	8	for	for	ADP
ap-7733	172	9	a	a	DET
ap-7733	172	10	solution	solution	NOUN
ap-7733	172	11	of	of	ADP
ap-7733	172	12	the	the	DET
ap-7733	172	13	radial	radial	ADJ
ap-7733	172	14	part	part	NOUN
ap-7733	172	15	and	and	CCONJ
ap-7733	172	16	proceed	proceed	VERB
ap-7733	172	17	with	with	ADP
ap-7733	172	18	the	the	DET
ap-7733	172	19	substitution	substitution	NOUN
ap-7733	172	20	ϕ(ρ	ϕ(ρ	PROPN
ap-7733	172	21	)	)	PUNCT
ap-7733	173	1	=	=	SYM
ap-7733	173	2	ρ−(l+1)χ(ρ	ρ−(l+1)χ(ρ	PROPN
ap-7733	173	3	)	)	PUNCT
ap-7733	173	4	,	,	PUNCT
ap-7733	173	5	with	with	ADP
ap-7733	173	6	l	l	NOUN
ap-7733	174	1	=	=	PUNCT
ap-7733	174	2	k	k	PROPN
ap-7733	175	1	+	+	NUM
ap-7733	175	2	b	b	X
ap-7733	175	3	(	(	PUNCT
ap-7733	175	4	29	29	NUM
ap-7733	175	5	)	)	PUNCT
ap-7733	175	6	in	in	ADP
ap-7733	175	7	eq	eq	ADP
ap-7733	175	8	.	.	PUNCT
ap-7733	176	1	(	(	PUNCT
ap-7733	176	2	27	27	NUM
ap-7733	176	3	)	)	PUNCT
ap-7733	176	4	to	to	PART
ap-7733	176	5	obtain	obtain	VERB
ap-7733	176	6	−	−	PROPN
ap-7733	176	7	d2	d2	PROPN
ap-7733	176	8	dρ2χ(ρ	dρ2χ(ρ	NOUN
ap-7733	176	9	)	)	PUNCT
ap-7733	177	1	+	+	CCONJ
ap-7733	177	2	uk	uk	PROPN
ap-7733	177	3	(	(	PUNCT
ap-7733	177	4	√	√	NUM
ap-7733	177	5	nρ)χ(ρ	nρ)χ(ρ	NOUN
ap-7733	177	6	)	)	PUNCT
ap-7733	177	7	=	=	SYM
ap-7733	177	8	eχ(ρ	eχ(ρ	X
ap-7733	177	9	)	)	PUNCT
ap-7733	177	10	(	(	PUNCT
ap-7733	177	11	30	30	NUM
ap-7733	177	12	)	)	PUNCT
ap-7733	177	13	where	where	SCONJ
ap-7733	177	14	uk	uk	PROPN
ap-7733	177	15	(	(	PUNCT
ap-7733	177	16	√	√	NUM
ap-7733	177	17	nρ	nρ	NOUN
ap-7733	177	18	)	)	PUNCT
ap-7733	177	19	is	be	AUX
ap-7733	177	20	k	k	ADV
ap-7733	177	21	dependent	dependent	ADJ
ap-7733	177	22	(	(	PUNCT
ap-7733	177	23	through	through	ADP
ap-7733	177	24	l	l	NOUN
ap-7733	177	25	)	)	PUNCT
ap-7733	177	26	and	and	CCONJ
ap-7733	177	27	is	be	AUX
ap-7733	177	28	written	write	VERB
ap-7733	177	29	as	as	ADP
ap-7733	177	30	uk	uk	PROPN
ap-7733	177	31	(	(	PUNCT
ap-7733	177	32	√	√	NUM
ap-7733	177	33	nρ	nρ	PROPN
ap-7733	177	34	)	)	PUNCT
ap-7733	177	35	=	=	PUNCT
ap-7733	178	1	l(l	l(l	NOUN
ap-7733	178	2	+	+	CCONJ
ap-7733	178	3	1	1	X
ap-7733	178	4	)	)	PUNCT
ap-7733	178	5	ρ2	ρ2	NOUN
ap-7733	178	6	+	+	CCONJ
ap-7733	178	7	u	u	NOUN
ap-7733	178	8	(	(	PUNCT
ap-7733	178	9	√	√	NUM
ap-7733	178	10	nρ	nρ	NOUN
ap-7733	178	11	)	)	PUNCT
ap-7733	178	12	.	.	PUNCT
ap-7733	179	1	(	(	PUNCT
ap-7733	179	2	31	31	NUM
ap-7733	179	3	)	)	PUNCT
ap-7733	179	4	our	our	PRON
ap-7733	179	5	aim	aim	NOUN
ap-7733	179	6	here	here	ADV
ap-7733	179	7	is	be	AUX
ap-7733	179	8	to	to	PART
ap-7733	179	9	find	find	VERB
ap-7733	179	10	a	a	DET
ap-7733	179	11	solution	solution	NOUN
ap-7733	179	12	of	of	ADP
ap-7733	179	13	eq	eq	PROPN
ap-7733	179	14	.	.	PUNCT
ap-7733	180	1	(	(	PUNCT
ap-7733	180	2	30	30	NUM
ap-7733	180	3	)	)	PUNCT
ap-7733	180	4	with	with	ADP
ap-7733	180	5	a	a	DET
ap-7733	180	6	possible	possible	ADJ
ap-7733	180	7	general	general	ADJ
ap-7733	180	8	structure	structure	NOUN
ap-7733	180	9	of	of	ADP
ap-7733	180	10	u	u	PROPN
ap-7733	180	11	(	(	PUNCT
ap-7733	180	12	√	√	PROPN
ap-7733	180	13	nρ	nρ	NOUN
ap-7733	180	14	)	)	PUNCT
ap-7733	180	15	.	.	PUNCT
ap-7733	181	1	this	this	PRON
ap-7733	181	2	will	will	AUX
ap-7733	181	3	provide	provide	VERB
ap-7733	181	4	an	an	DET
ap-7733	181	5	exact	exact	ADJ
ap-7733	181	6	solution	solution	NOUN
ap-7733	181	7	of	of	ADP
ap-7733	181	8	a	a	DET
ap-7733	181	9	many	many	ADJ
ap-7733	181	10	particle	particle	NOUN
ap-7733	181	11	system	system	NOUN
ap-7733	181	12	given	give	VERB
ap-7733	181	13	in	in	ADP
ap-7733	181	14	eq	eq	ADP
ap-7733	181	15	.	.	PUNCT
ap-7733	182	1	(	(	PUNCT
ap-7733	182	2	25	25	NUM
ap-7733	182	3	)	)	PUNCT
ap-7733	182	4	.	.	PUNCT
ap-7733	183	1	this	this	PRON
ap-7733	183	2	can	can	AUX
ap-7733	183	3	be	be	AUX
ap-7733	183	4	done	do	VERB
ap-7733	183	5	in	in	ADP
ap-7733	183	6	various	various	ADJ
ap-7733	183	7	ways	way	NOUN
ap-7733	183	8	,	,	PUNCT
ap-7733	183	9	but	but	CCONJ
ap-7733	183	10	we	we	PRON
ap-7733	183	11	would	would	AUX
ap-7733	183	12	like	like	VERB
ap-7733	183	13	to	to	PART
ap-7733	183	14	use	use	VERB
ap-7733	183	15	the	the	DET
ap-7733	183	16	technique	technique	NOUN
ap-7733	183	17	of	of	ADP
ap-7733	183	18	susyqm	susyqm	NOUN
ap-7733	183	19	,	,	PUNCT
ap-7733	183	20	details	detail	NOUN
ap-7733	183	21	of	of	ADP
ap-7733	183	22	which	which	PRON
ap-7733	183	23	can	can	AUX
ap-7733	183	24	be	be	AUX
ap-7733	183	25	found	find	VERB
ap-7733	183	26	in	in	ADP
ap-7733	183	27	[	[	X
ap-7733	183	28	38	38	NUM
ap-7733	183	29	,	,	PUNCT
ap-7733	183	30	39	39	NUM
ap-7733	183	31	]	]	PUNCT
ap-7733	183	32	we	we	PRON
ap-7733	183	33	consider	consider	VERB
ap-7733	183	34	a	a	DET
ap-7733	183	35	specific	specific	ADJ
ap-7733	183	36	superpotential	superpotential	NOUN
ap-7733	183	37	of	of	ADP
ap-7733	183	38	the	the	DET
ap-7733	183	39	form	form	NOUN
ap-7733	183	40	[	[	X
ap-7733	183	41	22	22	NUM
ap-7733	183	42	]	]	X
ap-7733	183	43	w	w	PROPN
ap-7733	183	44	(	(	PUNCT
ap-7733	183	45	ρ	ρ	NOUN
ap-7733	183	46	)	)	PUNCT
ap-7733	183	47	=	=	SYM
ap-7733	183	48	ρ+	ρ+	NOUN
ap-7733	183	49	2g1ρ	2g1ρ	NUM
ap-7733	183	50	1	1	NUM
ap-7733	183	51	+	+	CCONJ
ap-7733	183	52	g1ρ2	g1ρ2	X
ap-7733	184	1	+	+	CCONJ
ap-7733	184	2	α+	α+	PUNCT
ap-7733	184	3	1	1	NUM
ap-7733	184	4	ρ	ρ	NOUN
ap-7733	184	5	,	,	PUNCT
ap-7733	184	6	g1(α	g1(α	PROPN
ap-7733	184	7	)	)	PUNCT
ap-7733	184	8	=	=	SYM
ap-7733	184	9	2	2	NUM
ap-7733	184	10	2α+	2α+	NUM
ap-7733	184	11	3	3	NUM
ap-7733	184	12	.	.	PUNCT
ap-7733	185	1	α	α	PROPN
ap-7733	185	2	∈	∈	PROPN
ap-7733	185	3	r+	r+	NOUN
ap-7733	185	4	(	(	PUNCT
ap-7733	185	5	32	32	NUM
ap-7733	185	6	)	)	PUNCT
ap-7733	185	7	for	for	ADP
ap-7733	185	8	which	which	PRON
ap-7733	185	9	one	one	NUM
ap-7733	185	10	of	of	ADP
ap-7733	185	11	the	the	DET
ap-7733	185	12	partner	partner	NOUN
ap-7733	185	13	potentials	potential	VERB
ap-7733	185	14	is	be	AUX
ap-7733	185	15	a	a	DET
ap-7733	185	16	radial	radial	ADJ
ap-7733	185	17	oscillator	oscillator	NOUN
ap-7733	185	18	.	.	PUNCT
ap-7733	186	1	the	the	DET
ap-7733	186	2	partner	partner	NOUN
ap-7733	186	3	potentials	potential	NOUN
ap-7733	186	4	can	can	AUX
ap-7733	186	5	be	be	AUX
ap-7733	186	6	calculated	calculate	VERB
ap-7733	186	7	as	as	ADP
ap-7733	186	8	,	,	PUNCT
ap-7733	186	9	v+(ρ	v+(ρ	NUM
ap-7733	186	10	)	)	PUNCT
ap-7733	187	1	=	=	SYM
ap-7733	187	2	ρ2	ρ2	NOUN
ap-7733	187	3	+	+	CCONJ
ap-7733	187	4	α(α+	α(α+	NUM
ap-7733	187	5	1	1	NUM
ap-7733	187	6	)	)	PUNCT
ap-7733	187	7	ρ2	ρ2	NOUN
ap-7733	187	8	+	+	CCONJ
ap-7733	187	9	2α+	2α+	NUM
ap-7733	187	10	7	7	NUM
ap-7733	187	11	,	,	PUNCT
ap-7733	187	12	(	(	PUNCT
ap-7733	187	13	33a	33a	NUM
ap-7733	187	14	)	)	PUNCT
ap-7733	187	15	v−(ρ	v−(ρ	NOUN
ap-7733	187	16	)	)	PUNCT
ap-7733	187	17	=	=	SYM
ap-7733	188	1	ρ2	ρ2	NOUN
ap-7733	188	2	+	+	CCONJ
ap-7733	188	3	(	(	PUNCT
ap-7733	188	4	α+	α+	PROPN
ap-7733	188	5	1)(α+	1)(α+	NUM
ap-7733	188	6	2	2	NUM
ap-7733	188	7	)	)	PUNCT
ap-7733	188	8	ρ2	ρ2	NOUN
ap-7733	188	9	−	−	PROPN
ap-7733	188	10	4g1	4g1	NUM
ap-7733	188	11	1	1	NUM
ap-7733	189	1	+	+	CCONJ
ap-7733	189	2	g1ρ2	g1ρ2	X
ap-7733	189	3	+	+	CCONJ
ap-7733	189	4	8g2	8g2	NUM
ap-7733	189	5	1ρ	1ρ	ADJ
ap-7733	189	6	2	2	NUM
ap-7733	189	7	(	(	PUNCT
ap-7733	189	8	1	1	NUM
ap-7733	189	9	+	+	NUM
ap-7733	189	10	g1ρ2)2	g1ρ2)2	NOUN
ap-7733	189	11	+	+	CCONJ
ap-7733	189	12	2α+	2α+	NUM
ap-7733	189	13	5	5	NUM
ap-7733	189	14	.	.	PUNCT
ap-7733	190	1	(	(	PUNCT
ap-7733	190	2	33b	33b	NUM
ap-7733	190	3	)	)	PUNCT
ap-7733	190	4	94	94	NUM
ap-7733	190	5	vol	vol	NOUN
ap-7733	190	6	.	.	PUNCT
ap-7733	191	1	62	62	NUM
ap-7733	191	2	no	no	INTJ
ap-7733	191	3	.	.	PUNCT
ap-7733	192	1	1/2022	1/2022	NUM
ap-7733	192	2	rational	rational	ADJ
ap-7733	192	3	extension	extension	NOUN
ap-7733	192	4	of	of	ADP
ap-7733	192	5	many	many	ADJ
ap-7733	192	6	particle	particle	NOUN
ap-7733	192	7	systems	system	NOUN
ap-7733	192	8	the	the	DET
ap-7733	192	9	potential	potential	NOUN
ap-7733	192	10	v+	v+	ADV
ap-7733	192	11	is	be	AUX
ap-7733	192	12	the	the	DET
ap-7733	192	13	potential	potential	NOUN
ap-7733	192	14	for	for	ADP
ap-7733	192	15	a	a	DET
ap-7733	192	16	radial	radial	ADJ
ap-7733	192	17	oscillator	oscillator	NOUN
ap-7733	192	18	model	model	NOUN
ap-7733	192	19	with	with	ADP
ap-7733	192	20	a	a	DET
ap-7733	192	21	constant	constant	ADJ
ap-7733	192	22	term	term	NOUN
ap-7733	192	23	.	.	PUNCT
ap-7733	193	1	the	the	DET
ap-7733	193	2	complete	complete	ADJ
ap-7733	193	3	solution	solution	NOUN
ap-7733	193	4	for	for	ADP
ap-7733	193	5	this	this	DET
ap-7733	193	6	potential	potential	NOUN
ap-7733	193	7	is	be	AUX
ap-7733	193	8	given	give	VERB
ap-7733	193	9	by	by	ADP
ap-7733	193	10	e+	e+	PUNCT
ap-7733	193	11	n	n	PROPN
ap-7733	193	12	=	=	SYM
ap-7733	193	13	4	4	NUM
ap-7733	193	14	(	(	PUNCT
ap-7733	193	15	n+	n+	X
ap-7733	193	16	α+	α+	PUNCT
ap-7733	193	17	5	5	NUM
ap-7733	193	18	2	2	NUM
ap-7733	193	19	)	)	PUNCT
ap-7733	193	20	,	,	PUNCT
ap-7733	193	21	n	n	NOUN
ap-7733	193	22	=	=	SYM
ap-7733	193	23	0	0	NUM
ap-7733	193	24	,	,	PUNCT
ap-7733	193	25	1	1	NUM
ap-7733	193	26	,	,	PUNCT
ap-7733	193	27	2	2	NUM
ap-7733	193	28	,	,	PUNCT
ap-7733	193	29	.	.	PUNCT
ap-7733	193	30	.	.	PUNCT
ap-7733	193	31	.	.	PUNCT
ap-7733	194	1	(	(	PUNCT
ap-7733	194	2	34	34	NUM
ap-7733	194	3	)	)	PUNCT
ap-7733	194	4	χ+	χ+	PROPN
ap-7733	194	5	n	n	PROPN
ap-7733	194	6	(	(	PUNCT
ap-7733	194	7	ρ	ρ	NOUN
ap-7733	194	8	)	)	PUNCT
ap-7733	194	9	=	=	SYM
ap-7733	194	10	√	√	NUM
ap-7733	194	11	n	n	CCONJ
ap-7733	194	12	!	!	PUNCT
ap-7733	195	1	γ(n+	γ(n+	NOUN
ap-7733	196	1	α+	α+	PRON
ap-7733	196	2	3	3	NUM
ap-7733	196	3	2	2	NUM
ap-7733	196	4	)	)	PUNCT
ap-7733	196	5	ρα+1e−ρ2/2lα+1/2	ρα+1e−ρ2/2lα+1/2	NOUN
ap-7733	196	6	n	n	CCONJ
ap-7733	196	7	(	(	PUNCT
ap-7733	196	8	ρ2	ρ2	PROPN
ap-7733	196	9	)	)	PUNCT
ap-7733	196	10	.	.	PUNCT
ap-7733	197	1	(	(	PUNCT
ap-7733	197	2	35	35	NUM
ap-7733	197	3	)	)	PUNCT
ap-7733	197	4	where	where	SCONJ
ap-7733	197	5	lα+1/2	lα+1/2	PROPN
ap-7733	197	6	n	n	CCONJ
ap-7733	197	7	(	(	PUNCT
ap-7733	197	8	ρ2	ρ2	NOUN
ap-7733	197	9	)	)	PUNCT
ap-7733	197	10	is	be	AUX
ap-7733	197	11	a	a	DET
ap-7733	197	12	usual	usual	ADJ
ap-7733	197	13	laguerre	laguerre	NOUN
ap-7733	197	14	polynomial	polynomial	NOUN
ap-7733	197	15	.	.	PUNCT
ap-7733	198	1	using	use	VERB
ap-7733	198	2	the	the	DET
ap-7733	198	3	results	result	NOUN
ap-7733	198	4	of	of	ADP
ap-7733	198	5	susyqm	susyqm	NOUN
ap-7733	198	6	,	,	PUNCT
ap-7733	198	7	we	we	PRON
ap-7733	198	8	can	can	AUX
ap-7733	198	9	obtained	obtain	VERB
ap-7733	198	10	the	the	DET
ap-7733	198	11	solution	solution	NOUN
ap-7733	198	12	for	for	ADP
ap-7733	198	13	the	the	DET
ap-7733	198	14	partner	partner	NOUN
ap-7733	198	15	potential	potential	PROPN
ap-7733	198	16	v−(ρ	v−(ρ	PROPN
ap-7733	198	17	)	)	PUNCT
ap-7733	198	18	given	give	VERB
ap-7733	198	19	in	in	ADP
ap-7733	198	20	eq	eq	ADP
ap-7733	198	21	.	.	PROPN
ap-7733	198	22	(	(	PUNCT
ap-7733	198	23	33b	33b	NUM
ap-7733	198	24	)	)	PUNCT
ap-7733	198	25	as	as	ADP
ap-7733	198	26	e−	e−	PROPN
ap-7733	198	27	n	n	NOUN
ap-7733	198	28	=	=	SYM
ap-7733	198	29	4	4	NUM
ap-7733	198	30	(	(	PUNCT
ap-7733	198	31	n+	n+	X
ap-7733	198	32	α+	α+	PUNCT
ap-7733	198	33	5	5	NUM
ap-7733	198	34	2	2	NUM
ap-7733	198	35	)	)	PUNCT
ap-7733	198	36	,	,	PUNCT
ap-7733	198	37	(	(	PUNCT
ap-7733	198	38	36	36	NUM
ap-7733	198	39	)	)	PUNCT
ap-7733	198	40	which	which	PRON
ap-7733	198	41	is	be	AUX
ap-7733	198	42	the	the	DET
ap-7733	198	43	same	same	ADJ
ap-7733	198	44	as	as	ADP
ap-7733	198	45	in	in	ADP
ap-7733	198	46	the	the	DET
ap-7733	198	47	case	case	NOUN
ap-7733	198	48	of	of	ADP
ap-7733	198	49	v+	v+	NOUN
ap-7733	198	50	,	,	PUNCT
ap-7733	198	51	the	the	DET
ap-7733	198	52	radial	radial	ADJ
ap-7733	198	53	oscillator	oscillator	NOUN
ap-7733	198	54	potential	potential	NOUN
ap-7733	198	55	.	.	PUNCT
ap-7733	199	1	the	the	DET
ap-7733	199	2	radial	radial	ADJ
ap-7733	199	3	part	part	NOUN
ap-7733	199	4	of	of	ADP
ap-7733	199	5	the	the	DET
ap-7733	199	6	wave	wave	NOUN
ap-7733	199	7	function	function	NOUN
ap-7733	199	8	is	be	AUX
ap-7733	199	9	written	write	VERB
ap-7733	199	10	as	as	ADP
ap-7733	199	11	χ−	χ−	NOUN
ap-7733	199	12	n	n	PROPN
ap-7733	199	13	(	(	PUNCT
ap-7733	199	14	ρ	ρ	NOUN
ap-7733	199	15	)	)	PUNCT
ap-7733	199	16	=	=	SYM
ap-7733	200	1	√	√	NUM
ap-7733	200	2	4(n	4(n	NUM
ap-7733	200	3	!	!	PUNCT
ap-7733	200	4	)	)	PUNCT
ap-7733	201	1	e+	e+	PUNCT
ap-7733	201	2	n	n	CCONJ
ap-7733	201	3	γ(n+	γ(n+	NUM
ap-7733	201	4	α+	α+	SYM
ap-7733	201	5	3	3	NUM
ap-7733	201	6	2	2	NUM
ap-7733	201	7	)	)	PUNCT
ap-7733	201	8	ρα+2e−ρ2/2	ρα+2e−ρ2/2	NUM
ap-7733	201	9	1	1	NUM
ap-7733	201	10	l	l	NOUN
ap-7733	201	11	α+1/2	α+1/2	NOUN
ap-7733	201	12	1	1	NUM
ap-7733	201	13	(	(	PUNCT
ap-7733	201	14	−ρ2	−ρ2	PROPN
ap-7733	201	15	)	)	PUNCT
ap-7733	201	16	l̂	l̂	VERB
ap-7733	201	17	α+3/2	α+3/2	NUM
ap-7733	201	18	n+1,1	n+1,1	PRON
ap-7733	201	19	(	(	PUNCT
ap-7733	201	20	ρ2	ρ2	NOUN
ap-7733	201	21	)	)	PUNCT
ap-7733	201	22	.	.	PUNCT
ap-7733	202	1	(	(	PUNCT
ap-7733	202	2	37	37	NUM
ap-7733	202	3	)	)	PUNCT
ap-7733	202	4	this	this	DET
ap-7733	202	5	solution	solution	NOUN
ap-7733	202	6	for	for	ADP
ap-7733	202	7	v−(ρ	v−(ρ	NOUN
ap-7733	202	8	)	)	PUNCT
ap-7733	202	9	is	be	AUX
ap-7733	202	10	possible	possible	ADJ
ap-7733	202	11	only	only	ADV
ap-7733	202	12	when	when	SCONJ
ap-7733	202	13	the	the	DET
ap-7733	202	14	parameter	parameter	NOUN
ap-7733	202	15	g1	g1	PROPN
ap-7733	202	16	depends	depend	VERB
ap-7733	202	17	on	on	ADP
ap-7733	202	18	α	α	NOUN
ap-7733	202	19	in	in	ADP
ap-7733	202	20	a	a	DET
ap-7733	202	21	particular	particular	ADJ
ap-7733	202	22	fashion	fashion	NOUN
ap-7733	202	23	and	and	CCONJ
ap-7733	202	24	hence	hence	ADV
ap-7733	202	25	,	,	PUNCT
ap-7733	202	26	the	the	DET
ap-7733	202	27	model	model	NOUN
ap-7733	202	28	with	with	ADP
ap-7733	202	29	v−	v−	NOUN
ap-7733	202	30	is	be	AUX
ap-7733	202	31	conditionally	conditionally	ADV
ap-7733	202	32	exactly	exactly	ADV
ap-7733	202	33	solvable	solvable	ADJ
ap-7733	202	34	.	.	PUNCT
ap-7733	203	1	note	note	VERB
ap-7733	203	2	that	that	SCONJ
ap-7733	203	3	v+(ρ	v+(ρ	NUM
ap-7733	203	4	)	)	PUNCT
ap-7733	203	5	can	can	AUX
ap-7733	203	6	be	be	AUX
ap-7733	203	7	used	use	VERB
ap-7733	203	8	to	to	PART
ap-7733	203	9	generate	generate	VERB
ap-7733	203	10	the	the	DET
ap-7733	203	11	exactly	exactly	ADV
ap-7733	203	12	solvable	solvable	ADJ
ap-7733	203	13	calogero	calogero	PROPN
ap-7733	203	14	model	model	NOUN
ap-7733	203	15	with	with	ADP
ap-7733	203	16	a	a	DET
ap-7733	203	17	harmonic	harmonic	ADJ
ap-7733	203	18	confining	confining	NOUN
ap-7733	203	19	interaction	interaction	NOUN
ap-7733	203	20	as	as	ADP
ap-7733	203	21	in	in	ADP
ap-7733	203	22	this	this	DET
ap-7733	203	23	case	case	NOUN
ap-7733	204	1	u	u	NOUN
ap-7733	204	2	(	(	PUNCT
ap-7733	204	3	√	√	PROPN
ap-7733	204	4	nρ	nρ	PROPN
ap-7733	204	5	)	)	PUNCT
ap-7733	204	6	=	=	SYM
ap-7733	204	7	uk	uk	PROPN
ap-7733	204	8	(	(	PUNCT
ap-7733	204	9	√	√	NUM
ap-7733	204	10	nρ	nρ	PROPN
ap-7733	204	11	)	)	PUNCT
ap-7733	204	12	−	−	ADP
ap-7733	205	1	l(l	l(l	NOUN
ap-7733	205	2	+	+	CCONJ
ap-7733	205	3	1	1	X
ap-7733	205	4	)	)	PUNCT
ap-7733	205	5	ρ2	ρ2	NOUN
ap-7733	205	6	=	=	SYM
ap-7733	205	7	ρ2	ρ2	PROPN
ap-7733	205	8	+	+	CCONJ
ap-7733	205	9	α(α+	α(α+	NUM
ap-7733	205	10	1	1	NUM
ap-7733	205	11	)	)	PUNCT
ap-7733	205	12	−	−	ADP
ap-7733	206	1	l(l	l(l	NOUN
ap-7733	206	2	+	+	CCONJ
ap-7733	206	3	1	1	X
ap-7733	206	4	)	)	PUNCT
ap-7733	206	5	ρ2	ρ2	NOUN
ap-7733	206	6	,	,	PUNCT
ap-7733	206	7	(	(	PUNCT
ap-7733	206	8	38	38	NUM
ap-7733	206	9	)	)	PUNCT
ap-7733	206	10	apart	apart	ADV
ap-7733	206	11	from	from	ADP
ap-7733	206	12	an	an	DET
ap-7733	206	13	overall	overall	ADJ
ap-7733	206	14	constant	constant	ADJ
ap-7733	206	15	term	term	NOUN
ap-7733	206	16	.	.	PUNCT
ap-7733	207	1	now	now	ADV
ap-7733	207	2	,	,	PUNCT
ap-7733	207	3	l	l	PROPN
ap-7733	208	1	=	=	PUNCT
ap-7733	208	2	k	k	PROPN
ap-7733	209	1	+	+	CCONJ
ap-7733	209	2	b	b	PROPN
ap-7733	209	3	and	and	CCONJ
ap-7733	209	4	α	α	NOUN
ap-7733	209	5	are	be	AUX
ap-7733	209	6	free	free	ADJ
ap-7733	209	7	parameters	parameter	NOUN
ap-7733	209	8	and	and	CCONJ
ap-7733	209	9	we	we	PRON
ap-7733	209	10	can	can	AUX
ap-7733	209	11	chose	chose	VERB
ap-7733	209	12	the	the	DET
ap-7733	209	13	parameter	parameter	NOUN
ap-7733	209	14	α	α	NOUN
ap-7733	210	1	=	=	PUNCT
ap-7733	210	2	l	l	NOUN
ap-7733	210	3	such	such	ADJ
ap-7733	210	4	that	that	DET
ap-7733	210	5	u	u	NOUN
ap-7733	210	6	(	(	PUNCT
ap-7733	210	7	√	√	NUM
ap-7733	210	8	nρ	nρ	NOUN
ap-7733	210	9	)	)	PUNCT
ap-7733	211	1	=	=	SYM
ap-7733	211	2	ρ2	ρ2	NOUN
ap-7733	211	3	is	be	AUX
ap-7733	211	4	independent	independent	ADJ
ap-7733	211	5	of	of	ADP
ap-7733	211	6	k.	k.	PROPN
ap-7733	211	7	calogero	calogero	PROPN
ap-7733	211	8	has	have	AUX
ap-7733	211	9	shown	show	VERB
ap-7733	211	10	that	that	SCONJ
ap-7733	211	11	the	the	DET
ap-7733	211	12	many	many	ADJ
ap-7733	211	13	particle	particle	NOUN
ap-7733	211	14	system	system	NOUN
ap-7733	211	15	(	(	PUNCT
ap-7733	211	16	25	25	NUM
ap-7733	211	17	)	)	PUNCT
ap-7733	211	18	with	with	ADP
ap-7733	211	19	u	u	NOUN
ap-7733	211	20	(	(	PUNCT
ap-7733	211	21	√	√	NUM
ap-7733	211	22	nρ	nρ	NOUN
ap-7733	211	23	)	)	PUNCT
ap-7733	211	24	=	=	PUNCT
ap-7733	211	25	ρ2	ρ2	NOUN
ap-7733	211	26	can	can	AUX
ap-7733	211	27	be	be	AUX
ap-7733	211	28	solved	solve	VERB
ap-7733	211	29	exactly	exactly	ADV
ap-7733	211	30	for	for	ADP
ap-7733	211	31	all	all	DET
ap-7733	211	32	possible	possible	ADJ
ap-7733	211	33	values	value	NOUN
ap-7733	211	34	of	of	ADP
ap-7733	211	35	k.	k.	PROPN
ap-7733	211	36	however	however	ADV
ap-7733	211	37	,	,	PUNCT
ap-7733	211	38	unlike	unlike	ADP
ap-7733	211	39	this	this	DET
ap-7733	211	40	case	case	NOUN
ap-7733	211	41	,	,	PUNCT
ap-7733	211	42	v−(ρ	v−(ρ	PROPN
ap-7733	211	43	)	)	PUNCT
ap-7733	211	44	represents	represent	VERB
ap-7733	211	45	a	a	DET
ap-7733	211	46	qes	qes	NOUN
ap-7733	211	47	many	many	ADJ
ap-7733	211	48	particle	particle	NOUN
ap-7733	211	49	system	system	NOUN
ap-7733	211	50	as	as	SCONJ
ap-7733	211	51	we	we	PRON
ap-7733	211	52	explain	explain	VERB
ap-7733	211	53	below	below	ADV
ap-7733	211	54	.	.	PUNCT
ap-7733	212	1	u	u	NOUN
ap-7733	212	2	(	(	PUNCT
ap-7733	212	3	√	√	NUM
ap-7733	212	4	nρ	nρ	NOUN
ap-7733	212	5	)	)	PUNCT
ap-7733	212	6	=	=	SYM
ap-7733	213	1	ρ2	ρ2	NOUN
ap-7733	213	2	+	+	CCONJ
ap-7733	213	3	(	(	PUNCT
ap-7733	213	4	α+	α+	PROPN
ap-7733	213	5	1)(α+	1)(α+	NUM
ap-7733	213	6	2	2	NUM
ap-7733	213	7	)	)	PUNCT
ap-7733	213	8	−	−	ADP
ap-7733	214	1	l(l	l(l	NOUN
ap-7733	214	2	+	+	CCONJ
ap-7733	214	3	1	1	X
ap-7733	214	4	)	)	PUNCT
ap-7733	214	5	ρ2	ρ2	NOUN
ap-7733	214	6	−	−	PROPN
ap-7733	214	7	4g1	4g1	NUM
ap-7733	214	8	1	1	NUM
ap-7733	215	1	+	+	CCONJ
ap-7733	215	2	g1ρ2	g1ρ2	X
ap-7733	215	3	+	+	CCONJ
ap-7733	215	4	8g2	8g2	NUM
ap-7733	215	5	1ρ	1ρ	ADJ
ap-7733	215	6	2	2	NUM
ap-7733	215	7	(	(	PUNCT
ap-7733	215	8	1	1	NUM
ap-7733	215	9	+	+	NUM
ap-7733	215	10	g1ρ2)2	g1ρ2)2	NOUN
ap-7733	215	11	+	+	CCONJ
ap-7733	215	12	2α+	2α+	NUM
ap-7733	215	13	5	5	NUM
ap-7733	215	14	,	,	PUNCT
ap-7733	215	15	(	(	PUNCT
ap-7733	215	16	39	39	NUM
ap-7733	215	17	)	)	PUNCT
ap-7733	215	18	in	in	ADP
ap-7733	215	19	this	this	DET
ap-7733	215	20	case	case	NOUN
ap-7733	215	21	,	,	PUNCT
ap-7733	215	22	α	α	PROPN
ap-7733	215	23	depends	depend	VERB
ap-7733	215	24	on	on	ADP
ap-7733	215	25	g1	g1	NOUN
ap-7733	215	26	and	and	CCONJ
ap-7733	215	27	hence	hence	ADV
ap-7733	215	28	ca	can	AUX
ap-7733	215	29	n’t	not	PART
ap-7733	215	30	be	be	AUX
ap-7733	215	31	chosen	choose	VERB
ap-7733	215	32	as	as	ADP
ap-7733	215	33	such	such	ADJ
ap-7733	215	34	that	that	PRON
ap-7733	215	35	u	u	NOUN
ap-7733	215	36	(	(	PUNCT
ap-7733	215	37	√	√	NUM
ap-7733	215	38	nρ	nρ	NOUN
ap-7733	215	39	)	)	PUNCT
ap-7733	215	40	is	be	AUX
ap-7733	215	41	independent	independent	ADJ
ap-7733	215	42	of	of	ADP
ap-7733	215	43	k.	k.	PROPN
ap-7733	215	44	hence	hence	PROPN
ap-7733	215	45	,	,	PUNCT
ap-7733	215	46	the	the	DET
ap-7733	215	47	many	many	ADJ
ap-7733	215	48	particle	particle	NOUN
ap-7733	215	49	system	system	NOUN
ap-7733	215	50	with	with	ADP
ap-7733	215	51	u	u	NOUN
ap-7733	215	52	(	(	PUNCT
ap-7733	215	53	√	√	NUM
ap-7733	215	54	nρ	nρ	NOUN
ap-7733	215	55	)	)	PUNCT
ap-7733	215	56	is	be	AUX
ap-7733	215	57	qes	qes	NOUN
ap-7733	215	58	as	as	SCONJ
ap-7733	215	59	it	it	PRON
ap-7733	215	60	is	be	AUX
ap-7733	215	61	solvable	solvable	ADJ
ap-7733	215	62	only	only	ADV
ap-7733	215	63	for	for	ADP
ap-7733	215	64	a	a	DET
ap-7733	215	65	particular	particular	ADJ
ap-7733	215	66	value	value	NOUN
ap-7733	215	67	of	of	ADP
ap-7733	215	68	k.	k.	PROPN
ap-7733	215	69	the	the	DET
ap-7733	215	70	eigenvalues	eigenvalue	NOUN
ap-7733	215	71	are	be	AUX
ap-7733	215	72	en	en	ADP
ap-7733	215	73	=	=	SYM
ap-7733	215	74	4	4	NUM
ap-7733	215	75	(	(	PUNCT
ap-7733	215	76	n+	n+	X
ap-7733	215	77	α+	α+	PUNCT
ap-7733	215	78	5	5	NUM
ap-7733	215	79	2	2	NUM
ap-7733	215	80	)	)	PUNCT
ap-7733	215	81	,	,	PUNCT
ap-7733	215	82	n	n	NOUN
ap-7733	215	83	=	=	SYM
ap-7733	215	84	0	0	NUM
ap-7733	215	85	,	,	PUNCT
ap-7733	215	86	1	1	NUM
ap-7733	215	87	,	,	PUNCT
ap-7733	215	88	2	2	NUM
ap-7733	215	89	,	,	PUNCT
ap-7733	215	90	.	.	PUNCT
ap-7733	215	91	.	.	PUNCT
ap-7733	215	92	.	.	PUNCT
ap-7733	215	93	.	.	PUNCT
ap-7733	216	1	(	(	PUNCT
ap-7733	216	2	40	40	NUM
ap-7733	216	3	)	)	PUNCT
ap-7733	216	4	and	and	CCONJ
ap-7733	216	5	the	the	DET
ap-7733	216	6	corresponding	corresponding	ADJ
ap-7733	216	7	(	(	PUNCT
ap-7733	216	8	unnormalized	unnormalized	ADJ
ap-7733	216	9	)	)	PUNCT
ap-7733	216	10	qes	qes	NOUN
ap-7733	216	11	eigenfunctions	eigenfunction	NOUN
ap-7733	216	12	in	in	ADP
ap-7733	216	13	terms	term	NOUN
ap-7733	216	14	of	of	ADP
ap-7733	216	15	x1	x1	PROPN
ap-7733	216	16	laguerre	laguerre	NOUN
ap-7733	216	17	polynomials	polynomial	NOUN
ap-7733	216	18	are	be	AUX
ap-7733	216	19	written	write	VERB
ap-7733	216	20	as	as	ADP
ap-7733	216	21	ψn(x	ψn(x	X
ap-7733	216	22	)	)	PUNCT
ap-7733	216	23	=	=	SYM
ap-7733	217	1	ρα−l+1e−ρ2/2	ρα−l+1e−ρ2/2	NUM
ap-7733	217	2	1	1	NUM
ap-7733	217	3	l	l	NOUN
ap-7733	217	4	α+1/2	α+1/2	NOUN
ap-7733	217	5	1	1	NUM
ap-7733	217	6	(	(	PUNCT
ap-7733	217	7	−ρ2	−ρ2	PROPN
ap-7733	217	8	)	)	PUNCT
ap-7733	217	9	l̂	l̂	VERB
ap-7733	218	1	α+3/2	α+3/2	NUM
ap-7733	219	1	n+1,1	n+1,1	PRON
ap-7733	219	2	(	(	PUNCT
ap-7733	219	3	ρ2	ρ2	NOUN
ap-7733	219	4	)	)	PUNCT
ap-7733	219	5	∏	∏	PROPN
ap-7733	220	1	i	i	PRON
ap-7733	220	2	<	<	X
ap-7733	220	3	j	j	PROPN
ap-7733	220	4	(	(	PUNCT
ap-7733	220	5	xi	xi	X
ap-7733	220	6	−	−	PROPN
ap-7733	220	7	xj)a+	xj)a+	PROPN
ap-7733	220	8	1	1	NUM
ap-7733	220	9	2pk̃,q(x	2pk̃,q(x	NUM
ap-7733	220	10	)	)	PUNCT
ap-7733	220	11	.	.	PUNCT
ap-7733	221	1	(	(	PUNCT
ap-7733	221	2	41	41	NUM
ap-7733	221	3	)	)	PUNCT
ap-7733	221	4	note	note	NOUN
ap-7733	221	5	that	that	SCONJ
ap-7733	221	6	the	the	DET
ap-7733	221	7	solution	solution	NOUN
ap-7733	221	8	of	of	ADP
ap-7733	221	9	the	the	DET
ap-7733	221	10	angular	angular	ADJ
ap-7733	221	11	part	part	NOUN
ap-7733	221	12	pk̃,q(x	pk̃,q(x	PROPN
ap-7733	221	13	)	)	PUNCT
ap-7733	221	14	is	be	AUX
ap-7733	221	15	only	only	ADV
ap-7733	221	16	for	for	ADP
ap-7733	221	17	a	a	DET
ap-7733	221	18	specific	specific	ADJ
ap-7733	221	19	value	value	NOUN
ap-7733	221	20	of	of	ADP
ap-7733	221	21	the	the	DET
ap-7733	221	22	degree	degree	NOUN
ap-7733	221	23	of	of	ADP
ap-7733	221	24	the	the	DET
ap-7733	221	25	polynomial	polynomial	ADJ
ap-7733	221	26	,	,	PUNCT
ap-7733	221	27	i.e.	i.e.	X
ap-7733	221	28	for	for	ADP
ap-7733	221	29	k	k	PROPN
ap-7733	221	30	=	=	PUNCT
ap-7733	221	31	k̃.	k̃.	PROPN
ap-7733	221	32	we	we	PRON
ap-7733	221	33	ca	can	AUX
ap-7733	221	34	n’t	not	PART
ap-7733	221	35	find	find	VERB
ap-7733	221	36	the	the	DET
ap-7733	221	37	solution	solution	NOUN
ap-7733	221	38	of	of	ADP
ap-7733	221	39	the	the	DET
ap-7733	221	40	radial	radial	ADJ
ap-7733	221	41	part	part	NOUN
ap-7733	221	42	for	for	ADP
ap-7733	221	43	k	k	PROPN
ap-7733	221	44	̸=	̸=	PROPN
ap-7733	221	45	k̃.	k̃.	PROPN
ap-7733	221	46	thus	thus	ADV
ap-7733	221	47	,	,	PUNCT
ap-7733	221	48	the	the	DET
ap-7733	221	49	solution	solution	NOUN
ap-7733	221	50	is	be	AUX
ap-7733	221	51	not	not	PART
ap-7733	221	52	complete	complete	ADJ
ap-7733	221	53	,	,	PUNCT
ap-7733	221	54	we	we	PRON
ap-7733	221	55	have	have	AUX
ap-7733	221	56	obtained	obtain	VERB
ap-7733	221	57	a	a	DET
ap-7733	221	58	part	part	NOUN
ap-7733	221	59	of	of	ADP
ap-7733	221	60	it	it	PRON
ap-7733	221	61	and	and	CCONJ
ap-7733	221	62	thus	thus	ADV
ap-7733	221	63	,	,	PUNCT
ap-7733	221	64	in	in	ADP
ap-7733	221	65	this	this	DET
ap-7733	221	66	sense	sense	NOUN
ap-7733	221	67	,	,	PUNCT
ap-7733	221	68	we	we	PRON
ap-7733	221	69	called	call	VERB
ap-7733	221	70	the	the	DET
ap-7733	221	71	solutions	solution	NOUN
ap-7733	221	72	qes	qes	PROPN
ap-7733	221	73	.	.	PUNCT
ap-7733	222	1	now	now	ADV
ap-7733	222	2	,	,	PUNCT
ap-7733	222	3	we	we	PRON
ap-7733	222	4	have	have	AUX
ap-7733	222	5	obtained	obtain	VERB
ap-7733	222	6	another	another	DET
ap-7733	222	7	potential	potential	NOUN
ap-7733	222	8	given	give	VERB
ap-7733	222	9	in	in	ADP
ap-7733	222	10	eq	eq	ADP
ap-7733	222	11	.	.	PROPN
ap-7733	223	1	(	(	PUNCT
ap-7733	223	2	33b	33b	NUM
ap-7733	223	3	)	)	PUNCT
ap-7733	223	4	,	,	PUNCT
ap-7733	223	5	which	which	PRON
ap-7733	223	6	is	be	AUX
ap-7733	223	7	isospectral	isospectral	ADJ
ap-7733	223	8	to	to	ADP
ap-7733	223	9	a	a	DET
ap-7733	223	10	radial	radial	ADJ
ap-7733	223	11	oscillator	oscillator	NOUN
ap-7733	223	12	potential	potential	NOUN
ap-7733	223	13	but	but	CCONJ
ap-7733	223	14	the	the	DET
ap-7733	223	15	wave	wave	NOUN
ap-7733	223	16	functions	function	NOUN
ap-7733	223	17	are	be	AUX
ap-7733	223	18	completely	completely	ADV
ap-7733	223	19	different	different	ADJ
ap-7733	223	20	and	and	CCONJ
ap-7733	223	21	are	be	AUX
ap-7733	223	22	written	write	VERB
ap-7733	223	23	in	in	ADP
ap-7733	223	24	terms	term	NOUN
ap-7733	223	25	of	of	ADP
ap-7733	223	26	x1	x1	PROPN
ap-7733	223	27	laguerre	laguerre	NOUN
ap-7733	223	28	polynomials	polynomial	NOUN
ap-7733	223	29	.	.	PUNCT
ap-7733	224	1	thus	thus	ADV
ap-7733	224	2	,	,	PUNCT
ap-7733	224	3	we	we	PRON
ap-7733	224	4	have	have	AUX
ap-7733	224	5	achieved	achieve	VERB
ap-7733	224	6	the	the	DET
ap-7733	224	7	rational	rational	ADJ
ap-7733	224	8	extension	extension	NOUN
ap-7733	224	9	of	of	ADP
ap-7733	224	10	calogero	calogero	PROPN
ap-7733	224	11	like	like	ADP
ap-7733	224	12	many	many	ADJ
ap-7733	224	13	particle	particle	NOUN
ap-7733	224	14	system	system	NOUN
ap-7733	224	15	with	with	ADP
ap-7733	224	16	a	a	DET
ap-7733	224	17	u	u	NOUN
ap-7733	224	18	(	(	PUNCT
ap-7733	224	19	√	√	NUM
ap-7733	224	20	nρ	nρ	PROPN
ap-7733	224	21	)	)	PUNCT
ap-7733	224	22	given	give	VERB
ap-7733	224	23	in	in	ADP
ap-7733	224	24	eq	eq	ADP
ap-7733	224	25	.	.	PUNCT
ap-7733	225	1	(	(	PUNCT
ap-7733	225	2	39	39	NUM
ap-7733	225	3	)	)	PUNCT
ap-7733	225	4	.	.	PUNCT
ap-7733	226	1	we	we	PRON
ap-7733	226	2	would	would	AUX
ap-7733	226	3	like	like	VERB
ap-7733	226	4	to	to	PART
ap-7733	226	5	point	point	VERB
ap-7733	226	6	out	out	ADP
ap-7733	226	7	that	that	SCONJ
ap-7733	226	8	exactly	exactly	ADV
ap-7733	226	9	same	same	ADJ
ap-7733	226	10	result	result	NOUN
ap-7733	226	11	can	can	AUX
ap-7733	226	12	also	also	ADV
ap-7733	226	13	be	be	AUX
ap-7733	226	14	obtained	obtain	VERB
ap-7733	226	15	using	use	VERB
ap-7733	226	16	the	the	DET
ap-7733	226	17	other	other	ADJ
ap-7733	226	18	method	method	NOUN
ap-7733	226	19	,	,	PUNCT
ap-7733	226	20	like	like	ADP
ap-7733	226	21	pct	pct	NOUN
ap-7733	226	22	method	method	NOUN
ap-7733	226	23	.	.	PUNCT
ap-7733	227	1	furthermore	furthermore	ADV
ap-7733	227	2	,	,	PUNCT
ap-7733	227	3	using	use	VERB
ap-7733	227	4	the	the	DET
ap-7733	227	5	pct	pct	NOUN
ap-7733	227	6	approach	approach	NOUN
ap-7733	227	7	,	,	PUNCT
ap-7733	227	8	one	one	PRON
ap-7733	227	9	can	can	AUX
ap-7733	227	10	obtain	obtain	VERB
ap-7733	227	11	the	the	DET
ap-7733	227	12	most	most	ADV
ap-7733	227	13	general	general	ADJ
ap-7733	227	14	rationally	rationally	ADV
ap-7733	227	15	extended	extended	ADJ
ap-7733	227	16	radial	radial	ADJ
ap-7733	227	17	oscillator	oscillator	NOUN
ap-7733	227	18	potential	potential	NOUN
ap-7733	227	19	vm(ρ	vm(ρ	NOUN
ap-7733	227	20	)	)	PUNCT
ap-7733	227	21	=	=	SYM
ap-7733	227	22	ρ2	ρ2	NOUN
ap-7733	227	23	+	+	CCONJ
ap-7733	227	24	l(l	l(l	PROPN
ap-7733	227	25	+	+	CCONJ
ap-7733	227	26	1	1	X
ap-7733	227	27	)	)	PUNCT
ap-7733	227	28	ρ2	ρ2	NOUN
ap-7733	227	29	−	−	PROPN
ap-7733	227	30	4ρ2l	4ρ2l	NOUN
ap-7733	228	1	l+3/2	l+3/2	PROPN
ap-7733	228	2	m−2	m−2	PROPN
ap-7733	228	3	(	(	PUNCT
ap-7733	228	4	−ρ2	−ρ2	PROPN
ap-7733	228	5	)	)	PUNCT
ap-7733	228	6	l	l	NOUN
ap-7733	228	7	l−1/2	l−1/2	PROPN
ap-7733	228	8	m	m	PROPN
ap-7733	228	9	(	(	PUNCT
ap-7733	228	10	−ρ2	−ρ2	PROPN
ap-7733	228	11	)	)	PUNCT
ap-7733	228	12	+	+	SYM
ap-7733	228	13	2(2ρ2	2(2ρ2	NUM
ap-7733	229	1	+	+	CCONJ
ap-7733	229	2	2l	2l	NUM
ap-7733	229	3	−	−	NOUN
ap-7733	229	4	1	1	NUM
ap-7733	229	5	)	)	PUNCT
ap-7733	229	6	4ρ2l	4ρ2l	NOUN
ap-7733	229	7	l+1/2	l+1/2	NOUN
ap-7733	229	8	m−2	m−2	PROPN
ap-7733	229	9	(	(	PUNCT
ap-7733	229	10	−ρ2	−ρ2	PROPN
ap-7733	229	11	)	)	PUNCT
ap-7733	229	12	l	l	NOUN
ap-7733	230	1	l−1/2	l−1/2	PROPN
ap-7733	230	2	m	m	PROPN
ap-7733	230	3	(	(	PUNCT
ap-7733	230	4	−ρ2	−ρ2	PROPN
ap-7733	230	5	)	)	PUNCT
ap-7733	230	6	+	+	SYM
ap-7733	230	7	8ρ2	8ρ2	NUM
ap-7733	230	8	[	[	PUNCT
ap-7733	230	9	4ρ2l	4ρ2l	ADJ
ap-7733	230	10	l+3/2	l+3/2	NOUN
ap-7733	230	11	m−2	m−2	PROPN
ap-7733	230	12	(	(	PUNCT
ap-7733	230	13	−ρ2	−ρ2	PROPN
ap-7733	230	14	)	)	PUNCT
ap-7733	230	15	l	l	NOUN
ap-7733	231	1	l−1/2	l−1/2	PROPN
ap-7733	231	2	m	m	PROPN
ap-7733	231	3	(	(	PUNCT
ap-7733	231	4	−ρ2	−ρ2	PROPN
ap-7733	231	5	)	)	PUNCT
ap-7733	231	6	]	]	PUNCT
ap-7733	231	7	2	2	NUM
ap-7733	231	8	−	−	NUM
ap-7733	231	9	4	4	NUM
ap-7733	231	10	(	(	PUNCT
ap-7733	231	11	42	42	NUM
ap-7733	231	12	)	)	SYM
ap-7733	231	13	95	95	NUM
ap-7733	231	14	bhabani	bhabani	NOUN
ap-7733	231	15	prasad	prasad	PROPN
ap-7733	231	16	mandal	mandal	PROPN
ap-7733	231	17	acta	acta	PROPN
ap-7733	231	18	polytechnica	polytechnica	PROPN
ap-7733	231	19	whose	whose	DET
ap-7733	231	20	bound	bind	VERB
ap-7733	231	21	state	state	NOUN
ap-7733	231	22	solutions	solution	NOUN
ap-7733	231	23	for	for	ADP
ap-7733	231	24	the	the	DET
ap-7733	231	25	energy	energy	NOUN
ap-7733	231	26	eigenvalues	eigenvalue	VERB
ap-7733	231	27	en	en	X
ap-7733	231	28	=	=	SYM
ap-7733	231	29	(	(	PUNCT
ap-7733	231	30	4n+	4n+	NUM
ap-7733	231	31	2l	2l	NOUN
ap-7733	231	32	+	+	CCONJ
ap-7733	231	33	3	3	X
ap-7733	231	34	)	)	PUNCT
ap-7733	231	35	n	n	NOUN
ap-7733	231	36	=	=	SYM
ap-7733	231	37	0	0	NUM
ap-7733	231	38	,	,	PUNCT
ap-7733	231	39	1	1	NUM
ap-7733	231	40	,	,	PUNCT
ap-7733	231	41	2	2	NUM
ap-7733	231	42	,	,	PUNCT
ap-7733	231	43	.	.	PUNCT
ap-7733	231	44	.	.	PUNCT
ap-7733	231	45	.	.	PUNCT
ap-7733	232	1	and	and	CCONJ
ap-7733	232	2	eigenfunctions	eigenfunction	NOUN
ap-7733	232	3	are	be	AUX
ap-7733	232	4	written	write	VERB
ap-7733	232	5	in	in	ADP
ap-7733	232	6	terms	term	NOUN
ap-7733	232	7	of	of	ADP
ap-7733	232	8	xm	xm	PROPN
ap-7733	232	9	exceptional	exceptional	ADJ
ap-7733	232	10	laguerre	laguerre	NOUN
ap-7733	232	11	polynomials	polynomial	NOUN
ap-7733	232	12	as	as	ADP
ap-7733	232	13	χn	χn	ADV
ap-7733	232	14	,	,	PUNCT
ap-7733	232	15	m(ρ2	m(ρ2	NOUN
ap-7733	232	16	)	)	PUNCT
ap-7733	232	17	=	=	PRON
ap-7733	233	1	[	[	PUNCT
ap-7733	233	2	(	(	PUNCT
ap-7733	233	3	n−m	n−m	PROPN
ap-7733	233	4	)	)	PUNCT
ap-7733	233	5	!	!	PUNCT
ap-7733	234	1	(	(	PUNCT
ap-7733	234	2	l	l	NOUN
ap-7733	234	3	+	+	NOUN
ap-7733	234	4	1/2	1/2	NUM
ap-7733	235	1	+	+	CCONJ
ap-7733	235	2	n)γ(l	n)γ(l	ADJ
ap-7733	235	3	+	+	NOUN
ap-7733	235	4	1/2	1/2	NUM
ap-7733	235	5	+	+	NUM
ap-7733	235	6	n−m	n−m	PROPN
ap-7733	235	7	)	)	PUNCT
ap-7733	236	1	]	]	PUNCT
ap-7733	236	2	1/2x	1/2x	NUM
ap-7733	236	3	l+1	l+1	PRON
ap-7733	236	4	exp(−ρ2/2	exp(−ρ2/2	VERB
ap-7733	236	5	)	)	PUNCT
ap-7733	237	1	l	l	PROPN
ap-7733	237	2	l−1/2	l−1/2	PROPN
ap-7733	237	3	m	m	PROPN
ap-7733	237	4	(	(	PUNCT
ap-7733	237	5	−ρ2	−ρ2	PROPN
ap-7733	237	6	)	)	PUNCT
ap-7733	237	7	l̂	l̂	PROPN
ap-7733	237	8	l+1/2	l+1/2	PROPN
ap-7733	237	9	n+m	n+m	PROPN
ap-7733	237	10	,	,	PUNCT
ap-7733	237	11	m(ρ2	m(ρ2	NOUN
ap-7733	237	12	)	)	PUNCT
ap-7733	237	13	(	(	PUNCT
ap-7733	237	14	43	43	NUM
ap-7733	237	15	)	)	PUNCT
ap-7733	237	16	where	where	SCONJ
ap-7733	237	17	l̂l+1/2	l̂l+1/2	PROPN
ap-7733	237	18	n+m	n+m	PROPN
ap-7733	237	19	,	,	PUNCT
ap-7733	237	20	m(ρ2	m(ρ2	NOUN
ap-7733	237	21	)	)	PUNCT
ap-7733	237	22	is	be	AUX
ap-7733	237	23	xm	xm	PROPN
ap-7733	237	24	exceptional	exceptional	ADJ
ap-7733	237	25	orthogonal	orthogonal	ADJ
ap-7733	237	26	laguerre	laguerre	NOUN
ap-7733	237	27	polynomial	polynomial	ADJ
ap-7733	237	28	,	,	PUNCT
ap-7733	237	29	m	m	VERB
ap-7733	237	30	=	=	SYM
ap-7733	237	31	0	0	NUM
ap-7733	237	32	corresponds	correspond	NOUN
ap-7733	237	33	to	to	ADP
ap-7733	237	34	usual	usual	ADJ
ap-7733	237	35	laguerre	laguerre	NOUN
ap-7733	237	36	polynomials	polynomial	NOUN
ap-7733	237	37	.	.	PUNCT
ap-7733	238	1	now	now	ADV
ap-7733	238	2	,	,	PUNCT
ap-7733	238	3	we	we	PRON
ap-7733	238	4	note	note	VERB
ap-7733	238	5	that	that	SCONJ
ap-7733	238	6	m	m	VERB
ap-7733	238	7	=	=	SYM
ap-7733	238	8	1	1	NUM
ap-7733	238	9	corresponds	correspond	VERB
ap-7733	238	10	to	to	ADP
ap-7733	238	11	the	the	DET
ap-7733	238	12	case	case	NOUN
ap-7733	238	13	we	we	PRON
ap-7733	238	14	discus	discus	VERB
ap-7733	238	15	,	,	PUNCT
ap-7733	238	16	in	in	ADP
ap-7733	238	17	the	the	DET
ap-7733	238	18	context	context	NOUN
ap-7733	238	19	of	of	ADP
ap-7733	238	20	calogero	calogero	PROPN
ap-7733	238	21	model	model	NOUN
ap-7733	238	22	as	as	ADP
ap-7733	238	23	the	the	DET
ap-7733	238	24	potential	potential	ADJ
ap-7733	238	25	v1	v1	NOUN
ap-7733	238	26	=	=	SYM
ap-7733	238	27	ρ2	ρ2	NOUN
ap-7733	238	28	+	+	CCONJ
ap-7733	238	29	l(l	l(l	PROPN
ap-7733	238	30	+	+	CCONJ
ap-7733	238	31	1	1	X
ap-7733	238	32	)	)	PUNCT
ap-7733	238	33	ρ2	ρ2	NOUN
ap-7733	238	34	−	−	NOUN
ap-7733	238	35	8	8	NUM
ap-7733	238	36	2ρ2	2ρ2	NUM
ap-7733	238	37	+	+	CCONJ
ap-7733	238	38	2l	2l	NOUN
ap-7733	238	39	+	+	CCONJ
ap-7733	238	40	1	1	NUM
ap-7733	238	41	+	+	SYM
ap-7733	238	42	32ρ2	32ρ2	NUM
ap-7733	238	43	(	(	PUNCT
ap-7733	238	44	2ρ2	2ρ2	NUM
ap-7733	238	45	+	+	CCONJ
ap-7733	238	46	2l	2l	NOUN
ap-7733	239	1	+	+	X
ap-7733	240	1	1)2	1)2	NUM
ap-7733	240	2	(	(	PUNCT
ap-7733	240	3	44	44	NUM
ap-7733	240	4	)	)	PUNCT
ap-7733	240	5	calculated	calculate	VERB
ap-7733	240	6	from	from	ADP
ap-7733	240	7	eq	eq	PROPN
ap-7733	240	8	.	.	PUNCT
ap-7733	241	1	(	(	PUNCT
ap-7733	241	2	42	42	NUM
ap-7733	241	3	)	)	PUNCT
ap-7733	241	4	is	be	AUX
ap-7733	241	5	the	the	DET
ap-7733	241	6	same	same	ADJ
ap-7733	241	7	as	as	ADP
ap-7733	241	8	our	our	PRON
ap-7733	241	9	v−(ρ	v−(ρ	NOUN
ap-7733	241	10	)	)	PUNCT
ap-7733	241	11	in	in	ADP
ap-7733	241	12	eq	eq	ADP
ap-7733	241	13	.	.	PROPN
ap-7733	241	14	(	(	PUNCT
ap-7733	241	15	33b	33b	NUM
ap-7733	241	16	)	)	PUNCT
ap-7733	241	17	when	when	SCONJ
ap-7733	241	18	l	l	NOUN
ap-7733	241	19	=	=	SYM
ap-7733	241	20	(	(	PUNCT
ap-7733	241	21	α+	α+	NOUN
ap-7733	241	22	1	1	NUM
ap-7733	241	23	)	)	PUNCT
ap-7733	241	24	and	and	CCONJ
ap-7733	241	25	g1	g1	PROPN
ap-7733	241	26	=	=	SYM
ap-7733	241	27	2	2	NUM
ap-7733	241	28	(	(	PUNCT
ap-7733	241	29	2α+3	2α+3	PROPN
ap-7733	241	30	)	)	PUNCT
ap-7733	241	31	apart	apart	ADV
ap-7733	241	32	from	from	ADP
ap-7733	241	33	an	an	DET
ap-7733	241	34	overall	overall	ADJ
ap-7733	241	35	constant	constant	ADJ
ap-7733	241	36	term	term	NOUN
ap-7733	241	37	.	.	PUNCT
ap-7733	242	1	the	the	DET
ap-7733	242	2	solution	solution	NOUN
ap-7733	242	3	obtained	obtain	VERB
ap-7733	242	4	through	through	ADP
ap-7733	242	5	the	the	DET
ap-7733	242	6	pct	pct	NOUN
ap-7733	242	7	approach	approach	NOUN
ap-7733	242	8	in	in	ADP
ap-7733	242	9	eq	eq	ADP
ap-7733	242	10	.	.	PUNCT
ap-7733	243	1	(	(	PUNCT
ap-7733	243	2	43	43	NUM
ap-7733	243	3	)	)	PUNCT
ap-7733	243	4	for	for	ADP
ap-7733	243	5	m	m	NOUN
ap-7733	243	6	=	=	SYM
ap-7733	243	7	1	1	NUM
ap-7733	243	8	is	be	AUX
ap-7733	243	9	exactly	exactly	ADV
ap-7733	243	10	the	the	DET
ap-7733	243	11	same	same	ADJ
ap-7733	243	12	as	as	SCONJ
ap-7733	243	13	we	we	PRON
ap-7733	243	14	obtained	obtain	VERB
ap-7733	243	15	through	through	ADP
ap-7733	243	16	the	the	DET
ap-7733	243	17	supersymmetric	supersymmetric	ADJ
ap-7733	243	18	approach	approach	NOUN
ap-7733	243	19	.	.	PUNCT
ap-7733	244	1	5	5	X
ap-7733	244	2	.	.	X
ap-7733	244	3	conclusions	conclusion	NOUN
ap-7733	244	4	in	in	ADP
ap-7733	244	5	this	this	DET
ap-7733	244	6	article	article	NOUN
ap-7733	244	7	,	,	PUNCT
ap-7733	244	8	we	we	PRON
ap-7733	244	9	have	have	AUX
ap-7733	244	10	reviewed	review	VERB
ap-7733	244	11	two	two	NUM
ap-7733	244	12	of	of	ADP
ap-7733	244	13	our	our	PRON
ap-7733	244	14	old	old	ADJ
ap-7733	244	15	works	work	NOUN
ap-7733	244	16	[	[	X
ap-7733	244	17	24	24	NUM
ap-7733	244	18	,	,	PUNCT
ap-7733	244	19	25	25	NUM
ap-7733	244	20	]	]	PUNCT
ap-7733	244	21	on	on	ADP
ap-7733	244	22	a	a	DET
ap-7733	244	23	rational	rational	ADJ
ap-7733	244	24	extension	extension	NOUN
ap-7733	244	25	of	of	ADP
ap-7733	244	26	many	many	ADJ
ap-7733	244	27	particle	particle	NOUN
ap-7733	244	28	systems	system	NOUN
ap-7733	244	29	.	.	PUNCT
ap-7733	245	1	in	in	ADP
ap-7733	245	2	the	the	DET
ap-7733	245	3	first	first	ADJ
ap-7733	245	4	model	model	NOUN
ap-7733	245	5	[	[	X
ap-7733	245	6	25	25	NUM
ap-7733	245	7	]	]	PUNCT
ap-7733	245	8	,	,	PUNCT
ap-7733	245	9	we	we	PRON
ap-7733	245	10	have	have	AUX
ap-7733	245	11	considered	consider	VERB
ap-7733	245	12	the	the	DET
ap-7733	245	13	tcs	tcs	NOUN
ap-7733	245	14	model	model	NOUN
ap-7733	245	15	with	with	ADP
ap-7733	245	16	pairwise	pairwise	NOUN
ap-7733	245	17	2	2	NUM
ap-7733	245	18	-	-	PUNCT
ap-7733	245	19	body	body	NOUN
ap-7733	245	20	and	and	CCONJ
ap-7733	245	21	3	3	NUM
ap-7733	245	22	-	-	PUNCT
ap-7733	245	23	body	body	NOUN
ap-7733	245	24	interactions	interaction	NOUN
ap-7733	245	25	,	,	PUNCT
ap-7733	245	26	and	and	CCONJ
ap-7733	245	27	using	use	VERB
ap-7733	245	28	the	the	DET
ap-7733	245	29	well	well	ADV
ap-7733	245	30	known	know	VERB
ap-7733	245	31	pct	pct	NOUN
ap-7733	245	32	approach	approach	NOUN
ap-7733	245	33	,	,	PUNCT
ap-7733	245	34	we	we	PRON
ap-7733	245	35	have	have	AUX
ap-7733	245	36	extended	extend	VERB
ap-7733	245	37	the	the	DET
ap-7733	245	38	model	model	NOUN
ap-7733	245	39	rationally	rationally	ADV
ap-7733	245	40	.	.	PUNCT
ap-7733	246	1	the	the	DET
ap-7733	246	2	spectrum	spectrum	NOUN
ap-7733	246	3	is	be	AUX
ap-7733	246	4	isospectral	isospectral	ADJ
ap-7733	246	5	to	to	ADP
ap-7733	246	6	the	the	DET
ap-7733	246	7	original	original	ADJ
ap-7733	246	8	tcs	tcs	NOUN
ap-7733	246	9	system	system	NOUN
ap-7733	246	10	and	and	CCONJ
ap-7733	246	11	the	the	DET
ap-7733	246	12	wave	wave	NOUN
ap-7733	246	13	functions	function	NOUN
ap-7733	246	14	are	be	AUX
ap-7733	246	15	written	write	VERB
ap-7733	246	16	in	in	ADP
ap-7733	246	17	terms	term	NOUN
ap-7733	246	18	of	of	ADP
ap-7733	246	19	xm	xm	PROPN
ap-7733	246	20	laguerre	laguerre	NOUN
ap-7733	246	21	polynomials	polynomial	NOUN
ap-7733	246	22	.	.	PUNCT
ap-7733	247	1	this	this	PRON
ap-7733	247	2	means	mean	VERB
ap-7733	247	3	that	that	SCONJ
ap-7733	247	4	we	we	PRON
ap-7733	247	5	have	have	VERB
ap-7733	247	6	a	a	DET
ap-7733	247	7	family	family	NOUN
ap-7733	247	8	of	of	ADP
ap-7733	247	9	isospectral	isospectral	ADJ
ap-7733	247	10	systems	system	NOUN
ap-7733	247	11	for	for	ADP
ap-7733	247	12	m	m	PROPN
ap-7733	247	13	=	=	SYM
ap-7733	247	14	1	1	NUM
ap-7733	247	15	,	,	PUNCT
ap-7733	247	16	2	2	NUM
ap-7733	247	17	,	,	PUNCT
ap-7733	247	18	.	.	PUNCT
ap-7733	247	19	.	.	PUNCT
ap-7733	247	20	.	.	PUNCT
ap-7733	248	1	related	relate	VERB
ap-7733	248	2	to	to	ADP
ap-7733	248	3	the	the	DET
ap-7733	248	4	tcs	tcs	NOUN
ap-7733	248	5	model	model	NOUN
ap-7733	248	6	with	with	ADP
ap-7733	248	7	different	different	ADJ
ap-7733	248	8	potentials	potential	NOUN
ap-7733	248	9	.	.	PUNCT
ap-7733	249	1	the	the	DET
ap-7733	249	2	eigen	eigen	PROPN
ap-7733	249	3	functions	function	NOUN
ap-7733	249	4	are	be	AUX
ap-7733	249	5	different	different	ADJ
ap-7733	249	6	and	and	CCONJ
ap-7733	249	7	are	be	AUX
ap-7733	249	8	written	write	VERB
ap-7733	249	9	in	in	ADP
ap-7733	249	10	terms	term	NOUN
ap-7733	249	11	of	of	ADP
ap-7733	249	12	eops	eop	NOUN
ap-7733	249	13	.	.	PUNCT
ap-7733	250	1	in	in	ADP
ap-7733	250	2	the	the	DET
ap-7733	250	3	other	other	ADJ
ap-7733	250	4	model	model	NOUN
ap-7733	250	5	,	,	PUNCT
ap-7733	250	6	we	we	PRON
ap-7733	250	7	have	have	AUX
ap-7733	250	8	considered	consider	VERB
ap-7733	250	9	the	the	DET
ap-7733	250	10	qes	qes	NOUN
ap-7733	250	11	calogero	calogero	PROPN
ap-7733	250	12	like	like	ADP
ap-7733	250	13	many	many	ADJ
ap-7733	250	14	particle	particle	NOUN
ap-7733	250	15	system	system	NOUN
ap-7733	250	16	,	,	PUNCT
ap-7733	250	17	and	and	CCONJ
ap-7733	250	18	using	use	VERB
ap-7733	250	19	susyqm	susyqm	NOUN
ap-7733	250	20	techniques	technique	NOUN
ap-7733	250	21	,	,	PUNCT
ap-7733	250	22	obtained	obtain	VERB
ap-7733	250	23	the	the	DET
ap-7733	250	24	general	general	ADJ
ap-7733	250	25	structure	structure	NOUN
ap-7733	250	26	of	of	ADP
ap-7733	250	27	the	the	DET
ap-7733	250	28	qes	qes	NOUN
ap-7733	250	29	potential	potential	NOUN
ap-7733	250	30	for	for	ADP
ap-7733	250	31	which	which	PRON
ap-7733	250	32	we	we	PRON
ap-7733	250	33	can	can	AUX
ap-7733	250	34	find	find	VERB
ap-7733	250	35	the	the	DET
ap-7733	250	36	qes	qes	NOUN
ap-7733	250	37	solutions	solution	NOUN
ap-7733	250	38	.	.	PUNCT
ap-7733	251	1	the	the	DET
ap-7733	251	2	wave	wave	NOUN
ap-7733	251	3	functions	function	NOUN
ap-7733	251	4	are	be	AUX
ap-7733	251	5	written	write	VERB
ap-7733	251	6	in	in	ADP
ap-7733	251	7	terms	term	NOUN
ap-7733	251	8	of	of	ADP
ap-7733	251	9	eops	eop	NOUN
ap-7733	251	10	.	.	PUNCT
ap-7733	252	1	we	we	PRON
ap-7733	252	2	have	have	AUX
ap-7733	252	3	considered	consider	VERB
ap-7733	252	4	broken	broken	ADJ
ap-7733	252	5	susyqm	susyqm	NOUN
ap-7733	252	6	in	in	ADP
ap-7733	252	7	our	our	PRON
ap-7733	252	8	approach	approach	NOUN
ap-7733	252	9	.	.	PUNCT
ap-7733	253	1	we	we	PRON
ap-7733	253	2	feel	feel	VERB
ap-7733	253	3	it	it	PRON
ap-7733	253	4	would	would	AUX
ap-7733	253	5	be	be	AUX
ap-7733	253	6	of	of	ADP
ap-7733	253	7	interest	interest	NOUN
ap-7733	253	8	to	to	PART
ap-7733	253	9	investigate	investigate	VERB
ap-7733	253	10	similar	similar	ADJ
ap-7733	253	11	many	many	ADJ
ap-7733	253	12	particle	particle	NOUN
ap-7733	253	13	systems	system	NOUN
ap-7733	253	14	for	for	ADP
ap-7733	253	15	which	which	DET
ap-7733	253	16	supersymmetry	supersymmetry	NOUN
ap-7733	253	17	is	be	AUX
ap-7733	253	18	unbroken	unbroken	ADJ
ap-7733	253	19	.	.	PUNCT
ap-7733	254	1	acknowledgements	acknowledgement	NOUN
ap-7733	254	2	the	the	DET
ap-7733	254	3	author	author	NOUN
ap-7733	254	4	acknowledges	acknowledge	VERB
ap-7733	254	5	the	the	DET
ap-7733	254	6	support	support	NOUN
ap-7733	254	7	from	from	ADP
ap-7733	254	8	matrix	matrix	NOUN
ap-7733	254	9	project	project	NOUN
ap-7733	254	10	(	(	PUNCT
ap-7733	254	11	grant	grant	VERB
ap-7733	254	12	no	no	INTJ
ap-7733	254	13	.	.	PUNCT
ap-7733	255	1	mtr/2018/000611	mtr/2018/000611	NOUN
ap-7733	255	2	)	)	PUNCT
ap-7733	255	3	,	,	PUNCT
ap-7733	256	1	serb	serb	NOUN
ap-7733	256	2	,	,	PUNCT
ap-7733	256	3	dst	dst	NOUN
ap-7733	256	4	govt	govt	PROPN
ap-7733	256	5	.	.	PUNCT
ap-7733	257	1	of	of	ADP
ap-7733	257	2	india	india	PROPN
ap-7733	257	3	and	and	CCONJ
ap-7733	257	4	the	the	DET
ap-7733	257	5	research	research	NOUN
ap-7733	257	6	grant	grant	NOUN
ap-7733	257	7	for	for	ADP
ap-7733	257	8	faculty	faculty	NOUN
ap-7733	257	9	under	under	ADP
ap-7733	257	10	ioe	ioe	PROPN
ap-7733	257	11	scheme	scheme	NOUN
ap-7733	257	12	(	(	PUNCT
ap-7733	257	13	number	number	NOUN
ap-7733	257	14	6031	6031	NUM
ap-7733	257	15	)	)	PUNCT
ap-7733	257	16	of	of	ADP
ap-7733	257	17	bhu	bhu	PROPN
ap-7733	257	18	.	.	PUNCT
ap-7733	258	1	references	reference	NOUN
ap-7733	258	2	[	[	X
ap-7733	258	3	1	1	NUM
ap-7733	258	4	]	]	X
ap-7733	258	5	d.	d.	PROPN
ap-7733	258	6	gómez	gómez	PROPN
ap-7733	258	7	-	-	PUNCT
ap-7733	258	8	ullate	ullate	NOUN
ap-7733	258	9	,	,	PUNCT
ap-7733	258	10	n.	n.	PROPN
ap-7733	258	11	kamran	kamran	PROPN
ap-7733	258	12	,	,	PUNCT
ap-7733	258	13	r.	r.	PROPN
ap-7733	258	14	milson	milson	PROPN
ap-7733	258	15	.	.	PUNCT
ap-7733	259	1	an	an	DET
ap-7733	259	2	extended	extended	ADJ
ap-7733	259	3	class	class	NOUN
ap-7733	259	4	of	of	ADP
ap-7733	259	5	orthogonal	orthogonal	ADJ
ap-7733	259	6	polynomials	polynomial	NOUN
ap-7733	259	7	defined	define	VERB
ap-7733	259	8	by	by	ADP
ap-7733	259	9	sturm	sturm	NOUN
ap-7733	259	10	-	-	PUNCT
ap-7733	259	11	liouville	liouville	NOUN
ap-7733	259	12	problem	problem	NOUN
ap-7733	259	13	.	.	PUNCT
ap-7733	260	1	journal	journal	PROPN
ap-7733	260	2	of	of	ADP
ap-7733	260	3	mathematical	mathematical	ADJ
ap-7733	260	4	analysis	analysis	NOUN
ap-7733	260	5	and	and	CCONJ
ap-7733	260	6	applications	application	NOUN
ap-7733	260	7	359(1):352–367	359(1):352–367	NUM
ap-7733	260	8	,	,	PUNCT
ap-7733	260	9	2009	2009	NUM
ap-7733	260	10	.	.	PUNCT
ap-7733	261	1	https://doi.org/10.1016/j.jmaa.2009.05.052	https://doi.org/10.1016/j.jmaa.2009.05.052	X
ap-7733	261	2	.	.	PUNCT
ap-7733	262	1	[	[	X
ap-7733	262	2	2	2	NUM
ap-7733	262	3	]	]	X
ap-7733	262	4	d.	d.	PROPN
ap-7733	262	5	gómez	gómez	PROPN
ap-7733	262	6	-	-	PUNCT
ap-7733	262	7	ullate	ullate	NOUN
ap-7733	262	8	,	,	PUNCT
ap-7733	262	9	n.	n.	PROPN
ap-7733	262	10	kamran	kamran	PROPN
ap-7733	262	11	,	,	PUNCT
ap-7733	262	12	r.	r.	PROPN
ap-7733	262	13	milson	milson	PROPN
ap-7733	262	14	.	.	PUNCT
ap-7733	263	1	exceptional	exceptional	ADJ
ap-7733	263	2	orthogonal	orthogonal	ADJ
ap-7733	263	3	polynomials	polynomial	NOUN
ap-7733	263	4	and	and	CCONJ
ap-7733	263	5	the	the	DET
ap-7733	263	6	darboux	darboux	ADJ
ap-7733	263	7	transformation	transformation	NOUN
ap-7733	263	8	.	.	PUNCT
ap-7733	264	1	journal	journal	PROPN
ap-7733	264	2	of	of	ADP
ap-7733	264	3	physics	physics	PROPN
ap-7733	264	4	a	a	PRON
ap-7733	264	5	:	:	PUNCT
ap-7733	264	6	mathematical	mathematical	ADJ
ap-7733	264	7	and	and	CCONJ
ap-7733	264	8	theoretical	theoretical	ADJ
ap-7733	264	9	43(43):434016	43(43):434016	NUM
ap-7733	264	10	,	,	PUNCT
ap-7733	264	11	2010	2010	NUM
ap-7733	264	12	.	.	PUNCT
ap-7733	265	1	https://doi.org/10.1088/1751-8113/43/43/434016	https://doi.org/10.1088/1751-8113/43/43/434016	PROPN
ap-7733	265	2	.	.	PUNCT
ap-7733	266	1	[	[	X
ap-7733	266	2	3	3	X
ap-7733	266	3	]	]	X
ap-7733	266	4	d.	d.	PROPN
ap-7733	266	5	gómez	gómez	PROPN
ap-7733	266	6	-	-	PUNCT
ap-7733	266	7	ullate	ullate	NOUN
ap-7733	266	8	,	,	PUNCT
ap-7733	266	9	n.	n.	PROPN
ap-7733	266	10	kamran	kamran	PROPN
ap-7733	266	11	,	,	PUNCT
ap-7733	266	12	r.	r.	PROPN
ap-7733	266	13	milson	milson	PROPN
ap-7733	266	14	.	.	PUNCT
ap-7733	267	1	on	on	ADP
ap-7733	267	2	orthogonal	orthogonal	ADJ
ap-7733	267	3	polynomials	polynomial	NOUN
ap-7733	267	4	spanning	span	VERB
ap-7733	267	5	a	a	DET
ap-7733	267	6	non	non	ADJ
ap-7733	267	7	-	-	ADJ
ap-7733	267	8	standard	standard	ADJ
ap-7733	267	9	flag	flag	NOUN
ap-7733	267	10	.	.	PUNCT
ap-7733	268	1	contemporary	contemporary	ADJ
ap-7733	268	2	mathematics	mathematics	PROPN
ap-7733	268	3	563:51	563:51	NUM
ap-7733	268	4	,	,	PUNCT
ap-7733	268	5	2012	2012	NUM
ap-7733	268	6	.	.	PUNCT
ap-7733	269	1	[	[	X
ap-7733	269	2	4	4	X
ap-7733	269	3	]	]	X
ap-7733	269	4	d.	d.	PROPN
ap-7733	269	5	gómez	gómez	PROPN
ap-7733	269	6	-	-	PUNCT
ap-7733	269	7	ullate	ullate	NOUN
ap-7733	269	8	,	,	PUNCT
ap-7733	269	9	y.	y.	PROPN
ap-7733	269	10	grandati	grandati	PROPN
ap-7733	269	11	,	,	PUNCT
ap-7733	269	12	r.	r.	PROPN
ap-7733	269	13	milson	milson	PROPN
ap-7733	269	14	.	.	PUNCT
ap-7733	270	1	rational	rational	ADJ
ap-7733	270	2	extensions	extension	NOUN
ap-7733	270	3	of	of	ADP
ap-7733	270	4	the	the	DET
ap-7733	270	5	quantum	quantum	ADJ
ap-7733	270	6	harmonic	harmonic	NOUN
ap-7733	270	7	oscillator	oscillator	NOUN
ap-7733	270	8	and	and	CCONJ
ap-7733	270	9	exceptional	exceptional	ADJ
ap-7733	270	10	hermite	hermite	ADJ
ap-7733	270	11	polynomials	polynomial	NOUN
ap-7733	270	12	.	.	PUNCT
ap-7733	271	1	journal	journal	PROPN
ap-7733	271	2	of	of	ADP
ap-7733	271	3	physics	physics	PROPN
ap-7733	271	4	a	a	PRON
ap-7733	271	5	:	:	PUNCT
ap-7733	271	6	mathematical	mathematical	ADJ
ap-7733	271	7	and	and	CCONJ
ap-7733	271	8	theoretical	theoretical	ADJ
ap-7733	271	9	47(1):015203	47(1):015203	NUM
ap-7733	271	10	,	,	PUNCT
ap-7733	271	11	2014	2014	NUM
ap-7733	271	12	.	.	PUNCT
ap-7733	272	1	https://doi.org/10.1088/1751-8113/47/1/015203	https://doi.org/10.1088/1751-8113/47/1/015203	NOUN
ap-7733	272	2	.	.	PUNCT
ap-7733	273	1	[	[	X
ap-7733	273	2	5	5	NUM
ap-7733	273	3	]	]	PUNCT
ap-7733	273	4	c.	c.	NOUN
ap-7733	273	5	quesne	quesne	NOUN
ap-7733	273	6	.	.	PUNCT
ap-7733	274	1	exceptional	exceptional	ADJ
ap-7733	274	2	orthogonal	orthogonal	ADJ
ap-7733	274	3	polynomials	polynomial	NOUN
ap-7733	274	4	,	,	PUNCT
ap-7733	274	5	exactly	exactly	ADV
ap-7733	274	6	solvable	solvable	ADJ
ap-7733	274	7	potentials	potential	NOUN
ap-7733	274	8	and	and	CCONJ
ap-7733	274	9	supersymmetry	supersymmetry	NOUN
ap-7733	274	10	.	.	PUNCT
ap-7733	275	1	journal	journal	PROPN
ap-7733	275	2	of	of	ADP
ap-7733	275	3	physics	physics	PROPN
ap-7733	275	4	a	a	PRON
ap-7733	275	5	:	:	PUNCT
ap-7733	275	6	mathematical	mathematical	ADJ
ap-7733	275	7	and	and	CCONJ
ap-7733	275	8	theoretical	theoretical	ADJ
ap-7733	275	9	41(39):392001	41(39):392001	NUM
ap-7733	275	10	,	,	PUNCT
ap-7733	275	11	2008	2008	NUM
ap-7733	275	12	.	.	PUNCT
ap-7733	276	1	https://doi.org/10.1088/1751-8113/41/39/392001	https://doi.org/10.1088/1751-8113/41/39/392001	NOUN
ap-7733	276	2	.	.	PUNCT
ap-7733	277	1	[	[	X
ap-7733	277	2	6	6	NUM
ap-7733	277	3	]	]	PUNCT
ap-7733	277	4	b.	b.	PROPN
ap-7733	277	5	bagchi	bagchi	PROPN
ap-7733	277	6	,	,	PUNCT
ap-7733	277	7	c.	c.	PROPN
ap-7733	277	8	quesne	quesne	NOUN
ap-7733	277	9	,	,	PUNCT
ap-7733	277	10	r.	r.	PROPN
ap-7733	277	11	roychoudhary	roychoudhary	PROPN
ap-7733	277	12	.	.	PUNCT
ap-7733	278	1	isospectrality	isospectrality	NOUN
ap-7733	278	2	of	of	ADP
ap-7733	278	3	conventional	conventional	ADJ
ap-7733	278	4	and	and	CCONJ
ap-7733	278	5	new	new	ADJ
ap-7733	278	6	extended	extended	ADJ
ap-7733	278	7	potentials	potential	NOUN
ap-7733	278	8	,	,	PUNCT
ap-7733	278	9	second	second	ADJ
ap-7733	278	10	-	-	PUNCT
ap-7733	278	11	order	order	NOUN
ap-7733	278	12	supersymmetry	supersymmetry	NOUN
ap-7733	278	13	and	and	CCONJ
ap-7733	278	14	role	role	NOUN
ap-7733	278	15	of	of	ADP
ap-7733	278	16	pt	pt	NOUN
ap-7733	278	17	symmetry	symmetry	NOUN
ap-7733	278	18	.	.	PUNCT
ap-7733	279	1	pramana	pramana	PROPN
ap-7733	279	2	73:337	73:337	PROPN
ap-7733	279	3	,	,	PUNCT
ap-7733	279	4	2009	2009	NUM
ap-7733	279	5	.	.	PUNCT
ap-7733	280	1	https://doi.org/10.1007/s12043-009-0126-4	https://doi.org/10.1007/s12043-009-0126-4	NUM
ap-7733	280	2	.	.	PUNCT
ap-7733	281	1	[	[	X
ap-7733	281	2	7	7	X
ap-7733	281	3	]	]	X
ap-7733	281	4	s.	s.	PROPN
ap-7733	281	5	odake	odake	PROPN
ap-7733	281	6	,	,	PUNCT
ap-7733	281	7	r.	r.	PROPN
ap-7733	281	8	sasaki	sasaki	PROPN
ap-7733	281	9	.	.	PUNCT
ap-7733	282	1	another	another	DET
ap-7733	282	2	set	set	NOUN
ap-7733	282	3	of	of	ADP
ap-7733	282	4	infinitely	infinitely	ADV
ap-7733	282	5	many	many	ADJ
ap-7733	282	6	exceptional	exceptional	ADJ
ap-7733	282	7	(	(	PUNCT
ap-7733	282	8	xl	xl	PROPN
ap-7733	282	9	)	)	PUNCT
ap-7733	282	10	laguerre	laguerre	NOUN
ap-7733	282	11	polynomials	polynomial	NOUN
ap-7733	282	12	.	.	PUNCT
ap-7733	283	1	physics	physics	NOUN
ap-7733	283	2	letters	letter	NOUN
ap-7733	283	3	b	b	PROPN
ap-7733	283	4	684(2	684(2	NUM
ap-7733	283	5	-	-	SYM
ap-7733	283	6	3):173–176	3):173–176	NUM
ap-7733	283	7	,	,	PUNCT
ap-7733	283	8	2010	2010	NUM
ap-7733	283	9	.	.	PUNCT
ap-7733	284	1	https://doi.org/10.1016/j.physletb.2009.12.062	https://doi.org/10.1016/j.physletb.2009.12.062	X
ap-7733	284	2	.	.	PUNCT
ap-7733	285	1	[	[	X
ap-7733	285	2	8	8	NUM
ap-7733	285	3	]	]	X
ap-7733	285	4	c.-l	c.-l	NOUN
ap-7733	285	5	.	.	PUNCT
ap-7733	286	1	ho	ho	PROPN
ap-7733	286	2	,	,	PUNCT
ap-7733	286	3	s.	s.	PROPN
ap-7733	286	4	odake	odake	PROPN
ap-7733	286	5	,	,	PUNCT
ap-7733	286	6	r.	r.	PROPN
ap-7733	286	7	sasaki	sasaki	PROPN
ap-7733	286	8	.	.	PUNCT
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ap-7733	287	2	of	of	ADP
ap-7733	287	3	the	the	DET
ap-7733	287	4	exceptional	exceptional	ADJ
ap-7733	287	5	(	(	PUNCT
ap-7733	287	6	xl	xl	PROPN
ap-7733	287	7	)	)	PUNCT
ap-7733	287	8	laguerre	laguerre	NOUN
ap-7733	287	9	and	and	CCONJ
ap-7733	287	10	jacobi	jacobi	PROPN
ap-7733	287	11	polynomials	polynomials	PROPN
ap-7733	287	12	.	.	PUNCT
ap-7733	288	1	sigma	sigma	PROPN
ap-7733	288	2	7:107	7:107	NUM
ap-7733	288	3	,	,	PUNCT
ap-7733	288	4	2011	2011	NUM
ap-7733	288	5	.	.	PUNCT
ap-7733	289	1	https://doi.org/10.3842/sigma.2011.107	https://doi.org/10.3842/sigma.2011.107	PROPN
ap-7733	289	2	.	.	PUNCT
ap-7733	290	1	[	[	X
ap-7733	290	2	9	9	NUM
ap-7733	290	3	]	]	X
ap-7733	290	4	c.-l	c.-l	NOUN
ap-7733	290	5	.	.	PUNCT
ap-7733	291	1	ho	ho	PROPN
ap-7733	291	2	,	,	PUNCT
ap-7733	291	3	r.	r.	PROPN
ap-7733	291	4	sasaki	sasaki	PROPN
ap-7733	291	5	.	.	PUNCT
ap-7733	292	1	zeros	zero	NOUN
ap-7733	292	2	of	of	ADP
ap-7733	292	3	the	the	DET
ap-7733	292	4	exceptional	exceptional	ADJ
ap-7733	292	5	laguerre	laguerre	NOUN
ap-7733	292	6	and	and	CCONJ
ap-7733	292	7	jacobi	jacobi	PROPN
ap-7733	292	8	polynomials	polynomial	NOUN
ap-7733	292	9	.	.	PUNCT
ap-7733	293	1	international	international	ADJ
ap-7733	293	2	scholarly	scholarly	ADJ
ap-7733	293	3	research	research	NOUN
ap-7733	293	4	notices	notice	VERB
ap-7733	293	5	2012:920475	2012:920475	NUM
ap-7733	293	6	,	,	PUNCT
ap-7733	293	7	2012	2012	NUM
ap-7733	293	8	.	.	PUNCT
ap-7733	294	1	https://doi.org/10.5402/2012/920475	https://doi.org/10.5402/2012/920475	PROPN
ap-7733	294	2	.	.	PUNCT
ap-7733	295	1	96	96	NUM
ap-7733	295	2	https://doi.org/10.1016/j.jmaa.2009.05.052	https://doi.org/10.1016/j.jmaa.2009.05.052	NOUN
ap-7733	295	3	https://doi.org/10.1088/1751-8113/43/43/434016	https://doi.org/10.1088/1751-8113/43/43/434016	NOUN
ap-7733	295	4	https://doi.org/10.1088/1751-8113/47/1/015203	https://doi.org/10.1088/1751-8113/47/1/015203	NUM
ap-7733	295	5	https://doi.org/10.1088/1751-8113/41/39/392001	https://doi.org/10.1088/1751-8113/41/39/392001	VERB
ap-7733	295	6	https://doi.org/10.1007/s12043-009-0126-4	https://doi.org/10.1007/s12043-009-0126-4	PROPN
ap-7733	295	7	https://doi.org/10.1016/j.physletb.2009.12.062	https://doi.org/10.1016/j.physletb.2009.12.062	PRON
ap-7733	295	8	https://doi.org/10.3842/sigma.2011.107	https://doi.org/10.3842/sigma.2011.107	VERB
ap-7733	295	9	https://doi.org/10.5402/2012/920475	https://doi.org/10.5402/2012/920475	PROPN
ap-7733	295	10	vol	vol	NOUN
ap-7733	295	11	.	.	PUNCT
ap-7733	296	1	62	62	NUM
ap-7733	296	2	no	no	INTJ
ap-7733	296	3	.	.	PUNCT
ap-7733	297	1	1/2022	1/2022	NUM
ap-7733	297	2	rational	rational	ADJ
ap-7733	297	3	extension	extension	NOUN
ap-7733	297	4	of	of	ADP
ap-7733	297	5	many	many	ADJ
ap-7733	297	6	particle	particle	NOUN
ap-7733	297	7	systems	system	NOUN
ap-7733	297	8	[	[	X
ap-7733	297	9	10	10	NUM
ap-7733	297	10	]	]	X
ap-7733	297	11	d.	d.	PROPN
ap-7733	297	12	gómez	gómez	PROPN
ap-7733	297	13	-	-	PUNCT
ap-7733	297	14	ullate	ullate	NOUN
ap-7733	297	15	,	,	PUNCT
ap-7733	297	16	f.	f.	PROPN
ap-7733	297	17	marcellán	marcellán	PROPN
ap-7733	297	18	,	,	PUNCT
ap-7733	297	19	r.	r.	PROPN
ap-7733	297	20	milson	milson	PROPN
ap-7733	297	21	.	.	PUNCT
ap-7733	298	1	asymptotic	asymptotic	ADJ
ap-7733	298	2	and	and	CCONJ
ap-7733	298	3	interlacing	interlace	VERB
ap-7733	298	4	properties	property	NOUN
ap-7733	298	5	of	of	ADP
ap-7733	298	6	zeros	zero	NOUN
ap-7733	298	7	of	of	ADP
ap-7733	298	8	exceptional	exceptional	ADJ
ap-7733	298	9	jacobi	jacobi	PROPN
ap-7733	298	10	and	and	CCONJ
ap-7733	298	11	laguerre	laguerre	NOUN
ap-7733	298	12	polynomials	polynomial	NOUN
ap-7733	298	13	.	.	PUNCT
ap-7733	299	1	journal	journal	PROPN
ap-7733	299	2	of	of	ADP
ap-7733	299	3	mathematical	mathematical	ADJ
ap-7733	299	4	analysis	analysis	NOUN
ap-7733	299	5	and	and	CCONJ
ap-7733	299	6	applications	application	NOUN
ap-7733	299	7	399(2):480–495	399(2):480–495	NUM
ap-7733	299	8	,	,	PUNCT
ap-7733	299	9	2013	2013	NUM
ap-7733	299	10	.	.	PUNCT
ap-7733	300	1	https://doi.org/10.1016/j.jmaa.2012.10.032	https://doi.org/10.1016/j.jmaa.2012.10.032	NOUN
ap-7733	300	2	.	.	PUNCT
ap-7733	301	1	[	[	X
ap-7733	301	2	11	11	NUM
ap-7733	301	3	]	]	X
ap-7733	301	4	c.	c.	NOUN
ap-7733	301	5	quesne	quesne	NOUN
ap-7733	301	6	.	.	PUNCT
ap-7733	302	1	rationally	rationally	ADV
ap-7733	302	2	-	-	PUNCT
ap-7733	302	3	extended	extend	VERB
ap-7733	302	4	radial	radial	ADJ
ap-7733	302	5	oscillators	oscillator	NOUN
ap-7733	302	6	and	and	CCONJ
ap-7733	302	7	laguerre	laguerre	VERB
ap-7733	302	8	exceptional	exceptional	ADJ
ap-7733	302	9	orthogonal	orthogonal	ADJ
ap-7733	302	10	polynomials	polynomial	NOUN
ap-7733	302	11	in	in	ADP
ap-7733	302	12	kth	kth	NOUN
ap-7733	302	13	-	-	PUNCT
ap-7733	302	14	order	order	NOUN
ap-7733	302	15	susyqm	susyqm	NOUN
ap-7733	302	16	.	.	PUNCT
ap-7733	303	1	international	international	ADJ
ap-7733	303	2	journal	journal	PROPN
ap-7733	303	3	of	of	ADP
ap-7733	303	4	modern	modern	ADJ
ap-7733	303	5	physics	physic	NOUN
ap-7733	303	6	a	a	DET
ap-7733	303	7	26(32):5337–5347	26(32):5337–5347	PROPN
ap-7733	303	8	,	,	PUNCT
ap-7733	303	9	2011	2011	NUM
ap-7733	303	10	.	.	PUNCT
ap-7733	304	1	https://doi.org/10.1142/s0217751x11054942	https://doi.org/10.1142/s0217751x11054942	NUM
ap-7733	304	2	.	.	PUNCT
ap-7733	305	1	[	[	X
ap-7733	305	2	12	12	NUM
ap-7733	305	3	]	]	X
ap-7733	305	4	y.	y.	PROPN
ap-7733	305	5	grandati	grandati	PROPN
ap-7733	305	6	.	.	PUNCT
ap-7733	306	1	solvable	solvable	ADJ
ap-7733	306	2	rational	rational	ADJ
ap-7733	306	3	extensions	extension	NOUN
ap-7733	306	4	of	of	ADP
ap-7733	306	5	the	the	DET
ap-7733	306	6	isotonic	isotonic	ADJ
ap-7733	306	7	oscillator	oscillator	NOUN
ap-7733	306	8	.	.	PUNCT
ap-7733	307	1	annals	annal	NOUN
ap-7733	307	2	of	of	ADP
ap-7733	307	3	physics	physics	NOUN
ap-7733	307	4	326(8):2074–2090	326(8):2074–2090	PROPN
ap-7733	307	5	,	,	PUNCT
ap-7733	307	6	2011	2011	NUM
ap-7733	307	7	.	.	PUNCT
ap-7733	308	1	https://doi.org/10.1016/j.aop.2011.03.001	https://doi.org/10.1016/j.aop.2011.03.001	NOUN
ap-7733	308	2	.	.	PUNCT
ap-7733	309	1	[	[	X
ap-7733	309	2	13	13	NUM
ap-7733	309	3	]	]	PUNCT
ap-7733	309	4	b.	b.	PROPN
ap-7733	309	5	midya	midya	PROPN
ap-7733	309	6	,	,	PUNCT
ap-7733	309	7	b.	b.	PROPN
ap-7733	309	8	roy	roy	PROPN
ap-7733	309	9	.	.	PROPN
ap-7733	309	10	exceptional	exceptional	ADJ
ap-7733	309	11	orthogonal	orthogonal	ADJ
ap-7733	309	12	polynomials	polynomial	NOUN
ap-7733	309	13	and	and	CCONJ
ap-7733	309	14	exactly	exactly	ADV
ap-7733	309	15	solvable	solvable	ADJ
ap-7733	309	16	potentials	potential	NOUN
ap-7733	309	17	in	in	ADP
ap-7733	309	18	position	position	NOUN
ap-7733	309	19	dependent	dependent	ADJ
ap-7733	309	20	mass	mass	ADJ
ap-7733	309	21	schrödinger	schrödinger	ADJ
ap-7733	309	22	hamiltonian	hamiltonian	NOUN
ap-7733	309	23	.	.	PUNCT
ap-7733	310	1	physics	physics	NOUN
ap-7733	310	2	letters	letter	NOUN
ap-7733	310	3	a	a	DET
ap-7733	310	4	373(45):4117–4122	373(45):4117–4122	NUM
ap-7733	310	5	,	,	PUNCT
ap-7733	310	6	2009	2009	NUM
ap-7733	310	7	.	.	PUNCT
ap-7733	311	1	https://doi.org/10.1016/j.physleta.2009.09.030	https://doi.org/10.1016/j.physleta.2009.09.030	NUM
ap-7733	311	2	.	.	PUNCT
ap-7733	312	1	[	[	X
ap-7733	312	2	14	14	NUM
ap-7733	312	3	]	]	PUNCT
ap-7733	312	4	b.	b.	PROPN
ap-7733	312	5	midya	midya	PROPN
ap-7733	312	6	,	,	PUNCT
ap-7733	312	7	p.	p.	PROPN
ap-7733	312	8	roy	roy	PROPN
ap-7733	312	9	,	,	PUNCT
ap-7733	312	10	t.	t.	PROPN
ap-7733	312	11	tanaka	tanaka	PROPN
ap-7733	312	12	.	.	PUNCT
ap-7733	313	1	effect	effect	NOUN
ap-7733	313	2	of	of	ADP
ap-7733	313	3	position	position	NOUN
ap-7733	313	4	-	-	PUNCT
ap-7733	313	5	dependent	dependent	ADJ
ap-7733	313	6	mass	mass	NOUN
ap-7733	313	7	on	on	ADP
ap-7733	313	8	dynamical	dynamical	ADJ
ap-7733	313	9	breaking	breaking	NOUN
ap-7733	313	10	of	of	ADP
ap-7733	313	11	type	type	NOUN
ap-7733	313	12	b	b	NOUN
ap-7733	313	13	and	and	CCONJ
ap-7733	313	14	type	type	NOUN
ap-7733	313	15	x2	x2	CCONJ
ap-7733	313	16	n	n	CCONJ
ap-7733	313	17	-fold	-fold	ADJ
ap-7733	313	18	supersymmetry	supersymmetry	NOUN
ap-7733	313	19	.	.	PUNCT
ap-7733	314	1	journal	journal	PROPN
ap-7733	314	2	of	of	ADP
ap-7733	314	3	physics	physics	PROPN
ap-7733	314	4	a	a	PRON
ap-7733	314	5	:	:	PUNCT
ap-7733	314	6	mathematical	mathematical	ADJ
ap-7733	314	7	and	and	CCONJ
ap-7733	314	8	theoretical	theoretical	ADJ
ap-7733	314	9	45(20):205303	45(20):205303	NUM
ap-7733	314	10	,	,	PUNCT
ap-7733	314	11	2012	2012	NUM
ap-7733	314	12	.	.	PUNCT
ap-7733	315	1	https://doi.org/10.1088/1751-8113/45/20/205303	https://doi.org/10.1088/1751-8113/45/20/205303	X
ap-7733	315	2	.	.	PUNCT
ap-7733	316	1	[	[	X
ap-7733	316	2	15	15	NUM
ap-7733	316	3	]	]	X
ap-7733	316	4	k.	k.	PROPN
ap-7733	316	5	zelaya	zelaya	PROPN
ap-7733	316	6	,	,	PUNCT
ap-7733	316	7	v.	v.	PROPN
ap-7733	316	8	hussin	hussin	PROPN
ap-7733	316	9	.	.	PUNCT
ap-7733	317	1	time	time	NOUN
ap-7733	317	2	-	-	PUNCT
ap-7733	317	3	dependent	dependent	ADJ
ap-7733	317	4	rational	rational	ADJ
ap-7733	317	5	extensions	extension	NOUN
ap-7733	317	6	of	of	ADP
ap-7733	317	7	the	the	DET
ap-7733	317	8	parametric	parametric	ADJ
ap-7733	317	9	oscillator	oscillator	NOUN
ap-7733	317	10	:	:	PUNCT
ap-7733	317	11	quantum	quantum	NOUN
ap-7733	317	12	invariants	invariant	NOUN
ap-7733	317	13	and	and	CCONJ
ap-7733	317	14	the	the	DET
ap-7733	317	15	factorization	factorization	NOUN
ap-7733	317	16	method	method	NOUN
ap-7733	317	17	.	.	PUNCT
ap-7733	318	1	journal	journal	PROPN
ap-7733	318	2	of	of	ADP
ap-7733	318	3	physics	physics	PROPN
ap-7733	318	4	a	a	PRON
ap-7733	318	5	:	:	PUNCT
ap-7733	318	6	mathematical	mathematical	ADJ
ap-7733	318	7	and	and	CCONJ
ap-7733	318	8	theoretical	theoretical	ADJ
ap-7733	318	9	53(16):165301	53(16):165301	NUM
ap-7733	318	10	,	,	PUNCT
ap-7733	318	11	2020	2020	NUM
ap-7733	318	12	.	.	PUNCT
ap-7733	319	1	https://doi.org/10.1088/1751-8121/ab78d1	https://doi.org/10.1088/1751-8121/ab78d1	PROPN
ap-7733	319	2	.	.	PUNCT
ap-7733	320	1	[	[	X
ap-7733	320	2	16	16	NUM
ap-7733	320	3	]	]	PUNCT
ap-7733	320	4	s.	s.	PROPN
ap-7733	320	5	e.	e.	PROPN
ap-7733	320	6	hoffmann	hoffmann	PROPN
ap-7733	320	7	,	,	PUNCT
ap-7733	320	8	v.	v.	PROPN
ap-7733	320	9	hussin	hussin	PROPN
ap-7733	320	10	,	,	PUNCT
ap-7733	320	11	i.	i.	PROPN
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ap-7733	320	13	,	,	PUNCT
ap-7733	320	14	y.	y.	PROPN
ap-7733	320	15	zhang	zhang	PROPN
ap-7733	320	16	.	.	PUNCT
ap-7733	321	1	ladder	ladder	PROPN
ap-7733	321	2	operators	operator	NOUN
ap-7733	321	3	and	and	CCONJ
ap-7733	321	4	coherent	coherent	ADJ
ap-7733	321	5	states	state	NOUN
ap-7733	321	6	for	for	ADP
ap-7733	321	7	multi	multi	ADJ
ap-7733	321	8	-	-	ADJ
ap-7733	321	9	step	step	ADJ
ap-7733	321	10	supersymmetric	supersymmetric	ADJ
ap-7733	321	11	rational	rational	ADJ
ap-7733	321	12	extensions	extension	NOUN
ap-7733	321	13	of	of	ADP
ap-7733	321	14	the	the	DET
ap-7733	321	15	truncated	truncated	ADJ
ap-7733	321	16	oscillator	oscillator	NOUN
ap-7733	321	17	.	.	PUNCT
ap-7733	322	1	journal	journal	PROPN
ap-7733	322	2	of	of	ADP
ap-7733	322	3	mathematical	mathematical	ADJ
ap-7733	322	4	physics	physics	PROPN
ap-7733	322	5	60(5):052105	60(5):052105	PROPN
ap-7733	322	6	,	,	PUNCT
ap-7733	322	7	2019	2019	NUM
ap-7733	322	8	.	.	PUNCT
ap-7733	323	1	https://doi.org/10.1063/1.5091953	https://doi.org/10.1063/1.5091953	PROPN
ap-7733	323	2	.	.	PUNCT
ap-7733	324	1	[	[	X
ap-7733	324	2	17	17	NUM
ap-7733	324	3	]	]	PUNCT
ap-7733	324	4	c.	c.	NOUN
ap-7733	324	5	quesne	quesne	NOUN
ap-7733	324	6	.	.	PUNCT
ap-7733	324	7	quantum	quantum	NOUN
ap-7733	324	8	oscillator	oscillator	NOUN
ap-7733	324	9	and	and	CCONJ
ap-7733	324	10	kepler	kepler	PROPN
ap-7733	324	11	–	–	PUNCT
ap-7733	324	12	coulomb	coulomb	NOUN
ap-7733	324	13	problems	problem	NOUN
ap-7733	324	14	in	in	ADP
ap-7733	324	15	curved	curved	ADJ
ap-7733	324	16	spaces	space	NOUN
ap-7733	324	17	:	:	PUNCT
ap-7733	324	18	deformed	deform	VERB
ap-7733	324	19	shape	shape	NOUN
ap-7733	324	20	invariance	invariance	NOUN
ap-7733	324	21	,	,	PUNCT
ap-7733	324	22	point	point	VERB
ap-7733	324	23	canonical	canonical	ADJ
ap-7733	324	24	transformations	transformation	NOUN
ap-7733	324	25	,	,	PUNCT
ap-7733	324	26	and	and	CCONJ
ap-7733	324	27	rational	rational	ADJ
ap-7733	324	28	extensions	extension	NOUN
ap-7733	324	29	.	.	PUNCT
ap-7733	325	1	journal	journal	PROPN
ap-7733	325	2	of	of	ADP
ap-7733	325	3	mathematical	mathematical	ADJ
ap-7733	325	4	physics	physics	NOUN
ap-7733	325	5	57(10):102101	57(10):102101	NUM
ap-7733	325	6	,	,	PUNCT
ap-7733	325	7	2016	2016	NUM
ap-7733	325	8	.	.	PUNCT
ap-7733	326	1	https://doi.org/10.1063/1.4963726	https://doi.org/10.1063/1.4963726	NOUN
ap-7733	326	2	.	.	PUNCT
ap-7733	327	1	[	[	X
ap-7733	327	2	18	18	NUM
ap-7733	327	3	]	]	X
ap-7733	327	4	s.	s.	PROPN
ap-7733	327	5	sree	sree	PROPN
ap-7733	327	6	ranjani	ranjani	PROPN
ap-7733	327	7	,	,	PUNCT
ap-7733	327	8	r.	r.	PROPN
ap-7733	327	9	sandhya	sandhya	PROPN
ap-7733	327	10	,	,	PUNCT
ap-7733	327	11	a.	a.	PROPN
ap-7733	327	12	k.	k.	PROPN
ap-7733	327	13	kapoo	kapoo	PROPN
ap-7733	327	14	.	.	PUNCT
ap-7733	328	1	shape	shape	VERB
ap-7733	328	2	invariant	invariant	ADJ
ap-7733	328	3	rational	rational	ADJ
ap-7733	328	4	extensions	extension	NOUN
ap-7733	328	5	and	and	CCONJ
ap-7733	328	6	potentials	potential	NOUN
ap-7733	328	7	related	relate	VERB
ap-7733	328	8	to	to	ADP
ap-7733	328	9	exceptional	exceptional	ADJ
ap-7733	328	10	polynomials	polynomial	NOUN
ap-7733	328	11	.	.	PUNCT
ap-7733	329	1	international	international	ADJ
ap-7733	329	2	journal	journal	NOUN
ap-7733	329	3	of	of	ADP
ap-7733	329	4	modern	modern	ADJ
ap-7733	329	5	physics	physics	PROPN
ap-7733	329	6	a	a	PRON
ap-7733	329	7	30(24):1550146	30(24):1550146	NUM
ap-7733	329	8	,	,	PUNCT
ap-7733	329	9	2015	2015	NUM
ap-7733	329	10	.	.	PUNCT
ap-7733	330	1	https://doi.org/10.1142/s0217751x15501468	https://doi.org/10.1142/s0217751x15501468	X
ap-7733	330	2	.	.	PUNCT
ap-7733	331	1	[	[	X
ap-7733	331	2	19	19	NUM
ap-7733	331	3	]	]	PUNCT
ap-7733	331	4	b.	b.	PROPN
ap-7733	331	5	bagchi	bagchi	PROPN
ap-7733	331	6	,	,	PUNCT
ap-7733	331	7	c.	c.	PROPN
ap-7733	331	8	quesne	quesne	NOUN
ap-7733	331	9	.	.	PUNCT
ap-7733	332	1	an	an	DET
ap-7733	332	2	update	update	NOUN
ap-7733	332	3	on	on	ADP
ap-7733	332	4	the	the	DET
ap-7733	332	5	pt	pt	NOUN
ap-7733	332	6	-symmetric	-symmetric	NOUN
ap-7733	332	7	complexified	complexifie	VERB
ap-7733	332	8	scarf	scarf	PROPN
ap-7733	332	9	ii	ii	PROPN
ap-7733	332	10	potential	potential	NOUN
ap-7733	332	11	,	,	PUNCT
ap-7733	332	12	spectral	spectral	ADJ
ap-7733	332	13	singularities	singularity	NOUN
ap-7733	332	14	and	and	CCONJ
ap-7733	332	15	some	some	DET
ap-7733	332	16	remarks	remark	NOUN
ap-7733	332	17	on	on	ADP
ap-7733	332	18	the	the	DET
ap-7733	332	19	rationally	rationally	ADV
ap-7733	332	20	extended	extended	ADJ
ap-7733	332	21	supersymmetric	supersymmetric	ADJ
ap-7733	332	22	partners	partner	NOUN
ap-7733	332	23	.	.	PUNCT
ap-7733	333	1	journal	journal	PROPN
ap-7733	333	2	of	of	ADP
ap-7733	333	3	physics	physics	PROPN
ap-7733	333	4	a	a	PRON
ap-7733	333	5	:	:	PUNCT
ap-7733	333	6	mathematical	mathematical	ADJ
ap-7733	333	7	and	and	CCONJ
ap-7733	333	8	theoretical	theoretical	ADJ
ap-7733	333	9	43(30):305301	43(30):305301	NUM
ap-7733	333	10	,	,	PUNCT
ap-7733	333	11	2010	2010	NUM
ap-7733	333	12	.	.	PUNCT
ap-7733	334	1	https://doi.org/10.1088/1751-8113/43/30/305301	https://doi.org/10.1088/1751-8113/43/30/305301	PROPN
ap-7733	334	2	.	.	PUNCT
ap-7733	335	1	[	[	X
ap-7733	335	2	20	20	NUM
ap-7733	335	3	]	]	PUNCT
ap-7733	335	4	b.	b.	PROPN
ap-7733	335	5	bagchi	bagchi	PROPN
ap-7733	335	6	,	,	PUNCT
ap-7733	335	7	y.	y.	PROPN
ap-7733	335	8	grandati	grandati	PROPN
ap-7733	335	9	,	,	PUNCT
ap-7733	335	10	c.	c.	NOUN
ap-7733	335	11	quesne	quesne	NOUN
ap-7733	335	12	.	.	PUNCT
ap-7733	336	1	rational	rational	ADJ
ap-7733	336	2	extensions	extension	NOUN
ap-7733	336	3	of	of	ADP
ap-7733	336	4	the	the	DET
ap-7733	336	5	trigonometric	trigonometric	ADJ
ap-7733	336	6	darboux	darboux	NOUN
ap-7733	336	7	–	–	PUNCT
ap-7733	336	8	pöschl	pöschl	NOUN
ap-7733	336	9	–	–	PUNCT
ap-7733	336	10	teller	teller	NOUN
ap-7733	336	11	potential	potential	NOUN
ap-7733	336	12	based	base	VERB
ap-7733	336	13	on	on	ADP
ap-7733	336	14	para	para	PROPN
ap-7733	336	15	-	-	PUNCT
ap-7733	336	16	jacobi	jacobi	PROPN
ap-7733	336	17	polynomials	polynomial	NOUN
ap-7733	336	18	.	.	PUNCT
ap-7733	337	1	journal	journal	PROPN
ap-7733	337	2	of	of	ADP
ap-7733	337	3	mathematical	mathematical	ADJ
ap-7733	337	4	physics	physic	NOUN
ap-7733	337	5	56(6):062103	56(6):062103	NUM
ap-7733	337	6	,	,	PUNCT
ap-7733	337	7	2015	2015	NUM
ap-7733	337	8	.	.	PUNCT
ap-7733	338	1	https://doi.org/10.1063/1.4922017	https://doi.org/10.1063/1.4922017	X
ap-7733	338	2	.	.	PUNCT
ap-7733	339	1	[	[	X
ap-7733	339	2	21	21	NUM
ap-7733	339	3	]	]	X
ap-7733	339	4	i.	i.	PROPN
ap-7733	339	5	marquette	marquette	PROPN
ap-7733	339	6	,	,	PUNCT
ap-7733	339	7	c.	c.	PROPN
ap-7733	339	8	quesne	quesne	NOUN
ap-7733	339	9	.	.	PUNCT
ap-7733	340	1	new	new	ADJ
ap-7733	340	2	families	family	NOUN
ap-7733	340	3	of	of	ADP
ap-7733	340	4	superintegrable	superintegrable	ADJ
ap-7733	340	5	systems	system	NOUN
ap-7733	340	6	from	from	ADP
ap-7733	340	7	hermite	hermite	PROPN
ap-7733	340	8	and	and	CCONJ
ap-7733	340	9	laguerre	laguerre	VERB
ap-7733	340	10	exceptional	exceptional	ADJ
ap-7733	340	11	orthogonal	orthogonal	ADJ
ap-7733	340	12	polynomials	polynomial	NOUN
ap-7733	340	13	.	.	PUNCT
ap-7733	341	1	journal	journal	PROPN
ap-7733	341	2	of	of	ADP
ap-7733	341	3	mathematical	mathematical	ADJ
ap-7733	341	4	physics	physics	NOUN
ap-7733	341	5	54(4):042102	54(4):042102	NUM
ap-7733	341	6	,	,	PUNCT
ap-7733	341	7	2013	2013	NUM
ap-7733	341	8	.	.	PUNCT
ap-7733	342	1	https://doi.org/10.1063/1.4798807	https://doi.org/10.1063/1.4798807	PROPN
ap-7733	342	2	.	.	PUNCT
ap-7733	343	1	[	[	X
ap-7733	343	2	22	22	NUM
ap-7733	343	3	]	]	X
ap-7733	343	4	d.	d.	PROPN
ap-7733	343	5	dutta	dutta	PROPN
ap-7733	343	6	,	,	PUNCT
ap-7733	343	7	p.	p.	PROPN
ap-7733	343	8	roy	roy	PROPN
ap-7733	343	9	.	.	PROPN
ap-7733	344	1	conditionally	conditionally	ADV
ap-7733	344	2	exactly	exactly	ADV
ap-7733	344	3	solvable	solvable	ADJ
ap-7733	344	4	potentials	potential	NOUN
ap-7733	344	5	and	and	CCONJ
ap-7733	344	6	exceptional	exceptional	ADJ
ap-7733	344	7	orthogonal	orthogonal	ADJ
ap-7733	344	8	polynomials	polynomial	NOUN
ap-7733	344	9	.	.	PUNCT
ap-7733	345	1	journal	journal	PROPN
ap-7733	345	2	of	of	ADP
ap-7733	345	3	mathematical	mathematical	ADJ
ap-7733	345	4	physics	physics	NOUN
ap-7733	345	5	51(4):042101	51(4):042101	NUM
ap-7733	345	6	,	,	PUNCT
ap-7733	345	7	2010	2010	NUM
ap-7733	345	8	.	.	PUNCT
ap-7733	346	1	https://doi.org/10.1063/1.3339676	https://doi.org/10.1063/1.3339676	X
ap-7733	346	2	.	.	PUNCT
ap-7733	347	1	[	[	X
ap-7733	347	2	23	23	NUM
ap-7733	347	3	]	]	PUNCT
ap-7733	347	4	a.	a.	PROPN
ap-7733	347	5	ramos	ramos	PROPN
ap-7733	347	6	,	,	PUNCT
ap-7733	347	7	b.	b.	PROPN
ap-7733	347	8	bagchi	bagchi	PROPN
ap-7733	347	9	,	,	PUNCT
ap-7733	347	10	n.	n.	PROPN
ap-7733	347	11	kumari	kumari	PROPN
ap-7733	347	12	,	,	PUNCT
ap-7733	347	13	et	et	PROPN
ap-7733	347	14	al	al	PROPN
ap-7733	347	15	.	.	PUNCT
ap-7733	348	1	a	a	DET
ap-7733	348	2	short	short	ADJ
ap-7733	348	3	note	note	NOUN
ap-7733	348	4	on	on	ADP
ap-7733	348	5	“	"	PUNCT
ap-7733	348	6	group	group	NOUN
ap-7733	348	7	theoretic	theoretic	ADJ
ap-7733	348	8	approach	approach	NOUN
ap-7733	348	9	to	to	ADP
ap-7733	348	10	rationally	rationally	ADV
ap-7733	348	11	extended	extend	VERB
ap-7733	348	12	shape	shape	NOUN
ap-7733	348	13	invariant	invariant	ADJ
ap-7733	348	14	potentials	potential	NOUN
ap-7733	348	15	”	"	PUNCT
ap-7733	349	1	[	[	X
ap-7733	349	2	ann	ann	PROPN
ap-7733	349	3	.	.	PUNCT
ap-7733	349	4	phys	phys	PROPN
ap-7733	349	5	.	.	PUNCT
ap-7733	350	1	359	359	NUM
ap-7733	350	2	(	(	PUNCT
ap-7733	350	3	2015	2015	NUM
ap-7733	350	4	)	)	PUNCT
ap-7733	350	5	46	46	NUM
ap-7733	350	6	-	-	SYM
ap-7733	350	7	54	54	NUM
ap-7733	350	8	]	]	PUNCT
ap-7733	350	9	.	.	PUNCT
ap-7733	351	1	annals	annal	NOUN
ap-7733	351	2	of	of	ADP
ap-7733	351	3	physics	physics	NOUN
ap-7733	351	4	382:143–149	382:143–149	NUM
ap-7733	351	5	,	,	PUNCT
ap-7733	351	6	2017	2017	NUM
ap-7733	351	7	.	.	PUNCT
ap-7733	352	1	https://doi.org/10.1016/j.aop.2017.05.006	https://doi.org/10.1016/j.aop.2017.05.006	X
ap-7733	352	2	.	.	PUNCT
ap-7733	353	1	[	[	X
ap-7733	353	2	24	24	NUM
ap-7733	353	3	]	]	PUNCT
ap-7733	353	4	b.	b.	PROPN
ap-7733	353	5	basu	basu	PROPN
ap-7733	353	6	-	-	PUNCT
ap-7733	353	7	mallick	mallick	PROPN
ap-7733	353	8	,	,	PUNCT
ap-7733	353	9	b.	b.	PROPN
ap-7733	353	10	p.	p.	PROPN
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ap-7733	353	12	,	,	PUNCT
ap-7733	353	13	p.	p.	PROPN
ap-7733	353	14	roy	roy	PROPN
ap-7733	353	15	.	.	PUNCT
ap-7733	354	1	quasi	quasi	PROPN
ap-7733	354	2	exactly	exactly	ADV
ap-7733	354	3	solvable	solvable	ADJ
ap-7733	354	4	extension	extension	NOUN
ap-7733	354	5	of	of	ADP
ap-7733	354	6	calogero	calogero	PROPN
ap-7733	354	7	model	model	NOUN
ap-7733	354	8	associated	associate	VERB
ap-7733	354	9	with	with	ADP
ap-7733	354	10	exceptional	exceptional	ADJ
ap-7733	354	11	orthogonal	orthogonal	ADJ
ap-7733	354	12	polynomials	polynomial	NOUN
ap-7733	354	13	.	.	PUNCT
ap-7733	355	1	annals	annal	NOUN
ap-7733	355	2	of	of	ADP
ap-7733	355	3	physics	physics	NOUN
ap-7733	355	4	380:206–212	380:206–212	NUM
ap-7733	355	5	,	,	PUNCT
ap-7733	355	6	2017	2017	NUM
ap-7733	355	7	.	.	PUNCT
ap-7733	356	1	https://doi.org/10.1016/j.aop.2017.03.019	https://doi.org/10.1016/j.aop.2017.03.019	X
ap-7733	356	2	.	.	PUNCT
ap-7733	357	1	[	[	X
ap-7733	357	2	25	25	NUM
ap-7733	357	3	]	]	PUNCT
ap-7733	357	4	r.	r.	PROPN
ap-7733	357	5	k.	k.	PROPN
ap-7733	357	6	yadav	yadav	PROPN
ap-7733	357	7	,	,	PUNCT
ap-7733	357	8	a.	a.	PROPN
ap-7733	357	9	khare	khare	PROPN
ap-7733	357	10	,	,	PUNCT
ap-7733	357	11	n.	n.	PROPN
ap-7733	357	12	kumari	kumari	PROPN
ap-7733	357	13	,	,	PUNCT
ap-7733	357	14	b.	b.	PROPN
ap-7733	357	15	p.	p.	PROPN
ap-7733	357	16	mandal	mandal	PROPN
ap-7733	357	17	.	.	PUNCT
ap-7733	358	1	rationally	rationally	ADV
ap-7733	358	2	extended	extend	VERB
ap-7733	358	3	many	many	ADJ
ap-7733	358	4	-	-	PUNCT
ap-7733	358	5	body	body	NOUN
ap-7733	358	6	truncated	truncate	VERB
ap-7733	358	7	calogero	calogero	PROPN
ap-7733	358	8	–	–	PUNCT
ap-7733	358	9	sutherland	sutherland	PROPN
ap-7733	358	10	model	model	NOUN
ap-7733	358	11	.	.	PUNCT
ap-7733	359	1	annals	annal	NOUN
ap-7733	359	2	of	of	ADP
ap-7733	359	3	physics	physics	NOUN
ap-7733	359	4	400:189–197	400:189–197	NUM
ap-7733	359	5	,	,	PUNCT
ap-7733	359	6	2019	2019	NUM
ap-7733	359	7	.	.	PUNCT
ap-7733	360	1	https://doi.org/10.1016/j.aop.2018.11.009	https://doi.org/10.1016/j.aop.2018.11.009	PROPN
ap-7733	360	2	.	.	PUNCT
ap-7733	361	1	[	[	X
ap-7733	361	2	26	26	NUM
ap-7733	361	3	]	]	PUNCT
ap-7733	361	4	r.	r.	PROPN
ap-7733	361	5	k.	k.	PROPN
ap-7733	361	6	yadav	yadav	PROPN
ap-7733	361	7	,	,	PUNCT
ap-7733	361	8	s.	s.	PROPN
ap-7733	361	9	r.	r.	PROPN
ap-7733	361	10	banerjee	banerjee	PROPN
ap-7733	361	11	,	,	PUNCT
ap-7733	361	12	a.	a.	PROPN
ap-7733	361	13	khare	khare	PROPN
ap-7733	361	14	,	,	PUNCT
ap-7733	361	15	et	et	PROPN
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ap-7733	361	17	.	.	PROPN
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ap-7733	362	2	parameter	parameter	NOUN
ap-7733	362	3	family	family	NOUN
ap-7733	362	4	of	of	ADP
ap-7733	362	5	rationally	rationally	ADV
ap-7733	362	6	extended	extend	VERB
ap-7733	362	7	isospectral	isospectral	ADJ
ap-7733	362	8	potentials	potential	NOUN
ap-7733	362	9	.	.	PUNCT
ap-7733	363	1	annals	annal	NOUN
ap-7733	363	2	of	of	ADP
ap-7733	363	3	physics	physics	NOUN
ap-7733	363	4	436:168679	436:168679	PROPN
ap-7733	363	5	,	,	PUNCT
ap-7733	363	6	2022	2022	NUM
ap-7733	363	7	.	.	PUNCT
ap-7733	364	1	https://doi.org/10.1016/j.aop.2021.168679	https://doi.org/10.1016/j.aop.2021.168679	PROPN
ap-7733	364	2	.	.	PUNCT
ap-7733	365	1	[	[	X
ap-7733	365	2	27	27	NUM
ap-7733	365	3	]	]	X
ap-7733	365	4	n.	n.	PROPN
ap-7733	365	5	kumari	kumari	PROPN
ap-7733	365	6	,	,	PUNCT
ap-7733	365	7	r.	r.	PROPN
ap-7733	365	8	k.	k.	PROPN
ap-7733	365	9	yadav	yadav	PROPN
ap-7733	365	10	,	,	PUNCT
ap-7733	365	11	a.	a.	PROPN
ap-7733	365	12	khare	khare	PROPN
ap-7733	365	13	,	,	PUNCT
ap-7733	365	14	b.	b.	PROPN
ap-7733	365	15	p.	p.	PROPN
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ap-7733	365	17	.	.	PUNCT
ap-7733	366	1	a	a	DET
ap-7733	366	2	class	class	NOUN
ap-7733	366	3	of	of	ADP
ap-7733	366	4	exactly	exactly	ADV
ap-7733	366	5	solvable	solvable	ADJ
ap-7733	366	6	rationally	rationally	ADV
ap-7733	366	7	extended	extend	VERB
ap-7733	366	8	calogero	calogero	PROPN
ap-7733	366	9	-	-	PUNCT
ap-7733	366	10	wolfes	wolfe	NOUN
ap-7733	366	11	type	type	VERB
ap-7733	366	12	3	3	NUM
ap-7733	366	13	-	-	PUNCT
ap-7733	366	14	body	body	NOUN
ap-7733	366	15	problems	problem	NOUN
ap-7733	366	16	.	.	PUNCT
ap-7733	367	1	annals	annal	NOUN
ap-7733	367	2	of	of	ADP
ap-7733	367	3	physics	physics	NOUN
ap-7733	367	4	385:57–69	385:57–69	NUM
ap-7733	367	5	,	,	PUNCT
ap-7733	367	6	2017	2017	NUM
ap-7733	367	7	.	.	PUNCT
ap-7733	368	1	https://doi.org/10.1016/j.aop.2017.07.022	https://doi.org/10.1016/j.aop.2017.07.022	NOUN
ap-7733	368	2	.	.	PUNCT
ap-7733	369	1	[	[	X
ap-7733	369	2	28	28	NUM
ap-7733	369	3	]	]	X
ap-7733	369	4	n.	n.	PROPN
ap-7733	369	5	kumari	kumari	PROPN
ap-7733	369	6	,	,	PUNCT
ap-7733	369	7	r.	r.	PROPN
ap-7733	369	8	k.	k.	PROPN
ap-7733	369	9	yadav	yadav	PROPN
ap-7733	369	10	,	,	PUNCT
ap-7733	369	11	a.	a.	PROPN
ap-7733	369	12	khare	khare	PROPN
ap-7733	369	13	,	,	PUNCT
ap-7733	369	14	b.	b.	PROPN
ap-7733	369	15	p.	p.	PROPN
ap-7733	369	16	mandal	mandal	PROPN
ap-7733	369	17	.	.	PUNCT
ap-7733	370	1	a	a	DET
ap-7733	370	2	class	class	NOUN
ap-7733	370	3	of	of	ADP
ap-7733	370	4	exactly	exactly	ADV
ap-7733	370	5	solvable	solvable	ADJ
ap-7733	370	6	rationally	rationally	ADV
ap-7733	370	7	extended	extend	VERB
ap-7733	370	8	non	non	ADJ
ap-7733	370	9	-	-	ADJ
ap-7733	370	10	central	central	ADJ
ap-7733	370	11	potentials	potential	NOUN
ap-7733	370	12	in	in	ADP
ap-7733	370	13	two	two	NUM
ap-7733	370	14	and	and	CCONJ
ap-7733	370	15	three	three	NUM
ap-7733	370	16	dimensions	dimension	NOUN
ap-7733	370	17	.	.	PUNCT
ap-7733	371	1	journal	journal	PROPN
ap-7733	371	2	of	of	ADP
ap-7733	371	3	mathematical	mathematical	ADJ
ap-7733	371	4	physics	physic	NOUN
ap-7733	371	5	59(6):062103	59(6):062103	NUM
ap-7733	371	6	,	,	PUNCT
ap-7733	371	7	2018	2018	NUM
ap-7733	371	8	.	.	PUNCT
ap-7733	372	1	https://doi.org/10.1063/1.4996282	https://doi.org/10.1063/1.4996282	PROPN
ap-7733	372	2	.	.	PUNCT
ap-7733	373	1	[	[	X
ap-7733	373	2	29	29	NUM
ap-7733	373	3	]	]	X
ap-7733	373	4	b.	b.	PROPN
ap-7733	373	5	midhya	midhya	PROPN
ap-7733	373	6	,	,	PUNCT
ap-7733	373	7	p.	p.	PROPN
ap-7733	373	8	roy	roy	PROPN
ap-7733	373	9	.	.	PROPN
ap-7733	373	10	infinite	infinite	ADJ
ap-7733	373	11	families	family	NOUN
ap-7733	373	12	of	of	ADP
ap-7733	373	13	(	(	PUNCT
ap-7733	373	14	non)-hermitian	non)-hermitian	ADJ
ap-7733	373	15	hamiltonians	hamiltonian	NOUN
ap-7733	373	16	associated	associate	VERB
ap-7733	373	17	with	with	ADP
ap-7733	373	18	exceptional	exceptional	ADJ
ap-7733	373	19	xm	xm	PROPN
ap-7733	373	20	jacobi	jacobi	PROPN
ap-7733	373	21	polynomials	polynomials	PROPN
ap-7733	373	22	.	.	PUNCT
ap-7733	374	1	journal	journal	PROPN
ap-7733	374	2	of	of	ADP
ap-7733	374	3	physics	physics	PROPN
ap-7733	374	4	a	a	PRON
ap-7733	374	5	:	:	PUNCT
ap-7733	374	6	mathematical	mathematical	ADJ
ap-7733	374	7	and	and	CCONJ
ap-7733	374	8	theoretical	theoretical	ADJ
ap-7733	374	9	46(17):175201	46(17):175201	NUM
ap-7733	374	10	,	,	PUNCT
ap-7733	374	11	2013	2013	NUM
ap-7733	374	12	.	.	PUNCT
ap-7733	375	1	https://doi.org/10.1088/1751-8113/46/17/175201	https://doi.org/10.1088/1751-8113/46/17/175201	NOUN
ap-7733	375	2	.	.	PUNCT
ap-7733	376	1	[	[	X
ap-7733	376	2	30	30	NUM
ap-7733	376	3	]	]	X
ap-7733	376	4	n.	n.	PROPN
ap-7733	376	5	kumari	kumari	PROPN
ap-7733	376	6	,	,	PUNCT
ap-7733	376	7	r.	r.	PROPN
ap-7733	376	8	k.	k.	PROPN
ap-7733	376	9	yadav	yadav	PROPN
ap-7733	376	10	,	,	PUNCT
ap-7733	376	11	a.	a.	PROPN
ap-7733	376	12	khare	khare	PROPN
ap-7733	376	13	,	,	PUNCT
ap-7733	376	14	et	et	PROPN
ap-7733	376	15	al	al	PROPN
ap-7733	376	16	.	.	PUNCT
ap-7733	376	17	scattering	scatter	VERB
ap-7733	376	18	amplitudes	amplitude	NOUN
ap-7733	376	19	for	for	ADP
ap-7733	376	20	the	the	DET
ap-7733	376	21	rationally	rationally	ADV
ap-7733	376	22	extended	extended	ADJ
ap-7733	376	23	pt	pt	NOUN
ap-7733	376	24	symmetric	symmetric	ADJ
ap-7733	376	25	complex	complex	ADJ
ap-7733	376	26	potentials	potential	NOUN
ap-7733	376	27	.	.	PUNCT
ap-7733	377	1	annals	annal	NOUN
ap-7733	377	2	of	of	ADP
ap-7733	377	3	physics	physics	NOUN
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ap-7733	377	5	,	,	PUNCT
ap-7733	377	6	2016	2016	NUM
ap-7733	377	7	.	.	PUNCT
ap-7733	378	1	https://doi.org/10.1016/j.aop.2016.07.024	https://doi.org/10.1016/j.aop.2016.07.024	NOUN
ap-7733	378	2	.	.	PUNCT
ap-7733	379	1	[	[	X
ap-7733	379	2	31	31	NUM
ap-7733	379	3	]	]	X
ap-7733	379	4	n.	n.	PROPN
ap-7733	379	5	kumari	kumari	PROPN
ap-7733	379	6	,	,	PUNCT
ap-7733	379	7	r.	r.	PROPN
ap-7733	379	8	k.	k.	PROPN
ap-7733	379	9	yadav	yadav	PROPN
ap-7733	379	10	,	,	PUNCT
ap-7733	379	11	a.	a.	PROPN
ap-7733	379	12	khare	khare	PROPN
ap-7733	379	13	,	,	PUNCT
ap-7733	379	14	b.	b.	PROPN
ap-7733	379	15	p.	p.	PROPN
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ap-7733	379	17	.	.	PUNCT
ap-7733	380	1	group	group	NOUN
ap-7733	380	2	theoretic	theoretic	ADJ
ap-7733	380	3	approach	approach	NOUN
ap-7733	380	4	to	to	ADP
ap-7733	380	5	rationally	rationally	ADV
ap-7733	380	6	extended	extend	VERB
ap-7733	380	7	shape	shape	NOUN
ap-7733	380	8	invariant	invariant	ADJ
ap-7733	380	9	potentials	potential	NOUN
ap-7733	380	10	.	.	PUNCT
ap-7733	381	1	annals	annal	NOUN
ap-7733	381	2	of	of	ADP
ap-7733	381	3	physics	physics	NOUN
ap-7733	381	4	359:46–54	359:46–54	NUM
ap-7733	381	5	,	,	PUNCT
ap-7733	381	6	2015	2015	NUM
ap-7733	381	7	.	.	PUNCT
ap-7733	382	1	https://doi.org/10.1016/j.aop.2015.04.002	https://doi.org/10.1016/j.aop.2015.04.002	NOUN
ap-7733	382	2	.	.	PUNCT
ap-7733	383	1	97	97	NUM
ap-7733	383	2	https://doi.org/10.1016/j.jmaa.2012.10.032	https://doi.org/10.1016/j.jmaa.2012.10.032	PROPN
ap-7733	383	3	https://doi.org/10.1142/s0217751x11054942	https://doi.org/10.1142/s0217751x11054942	NUM
ap-7733	383	4	https://doi.org/10.1016/j.aop.2011.03.001	https://doi.org/10.1016/j.aop.2011.03.001	PROPN
ap-7733	383	5	https://doi.org/10.1016/j.physleta.2009.09.030	https://doi.org/10.1016/j.physleta.2009.09.030	NUM
ap-7733	383	6	https://doi.org/10.1088/1751-8113/45/20/205303	https://doi.org/10.1088/1751-8113/45/20/205303	PROPN
ap-7733	383	7	https://doi.org/10.1088/1751-8121/ab78d1	https://doi.org/10.1088/1751-8121/ab78d1	PROPN
ap-7733	383	8	https://doi.org/10.1063/1.5091953	https://doi.org/10.1063/1.5091953	PROPN
ap-7733	383	9	https://doi.org/10.1063/1.4963726	https://doi.org/10.1063/1.4963726	PROPN
ap-7733	383	10	https://doi.org/10.1142/s0217751x15501468	https://doi.org/10.1142/s0217751x15501468	NOUN
ap-7733	383	11	https://doi.org/10.1088/1751-8113/43/30/305301	https://doi.org/10.1088/1751-8113/43/30/305301	PRON
ap-7733	383	12	https://doi.org/10.1063/1.4922017	https://doi.org/10.1063/1.4922017	ADV
ap-7733	383	13	https://doi.org/10.1063/1.4798807	https://doi.org/10.1063/1.4798807	PROPN
ap-7733	383	14	https://doi.org/10.1063/1.3339676	https://doi.org/10.1063/1.3339676	PROPN
ap-7733	383	15	https://doi.org/10.1016/j.aop.2017.05.006	https://doi.org/10.1016/j.aop.2017.05.006	NOUN
ap-7733	383	16	https://doi.org/10.1016/j.aop.2017.03.019	https://doi.org/10.1016/j.aop.2017.03.019	PROPN
ap-7733	383	17	https://doi.org/10.1016/j.aop.2018.11.009	https://doi.org/10.1016/j.aop.2018.11.009	X
ap-7733	383	18	https://doi.org/10.1016/j.aop.2021.168679	https://doi.org/10.1016/j.aop.2021.168679	PROPN
ap-7733	383	19	https://doi.org/10.1016/j.aop.2017.07.022	https://doi.org/10.1016/j.aop.2017.07.022	NOUN
ap-7733	383	20	https://doi.org/10.1063/1.4996282	https://doi.org/10.1063/1.4996282	PROPN
ap-7733	383	21	https://doi.org/10.1088/1751-8113/46/17/175201	https://doi.org/10.1088/1751-8113/46/17/175201	PROPN
ap-7733	383	22	https://doi.org/10.1016/j.aop.2016.07.024	https://doi.org/10.1016/j.aop.2016.07.024	PROPN
ap-7733	383	23	https://doi.org/10.1016/j.aop.2015.04.002	https://doi.org/10.1016/j.aop.2015.04.002	NOUN
ap-7733	383	24	bhabani	bhabani	PROPN
ap-7733	383	25	prasad	prasad	PROPN
ap-7733	383	26	mandal	mandal	PROPN
ap-7733	383	27	acta	acta	PROPN
ap-7733	383	28	polytechnica	polytechnica	PROPN
ap-7733	383	29	[	[	X
ap-7733	383	30	32	32	NUM
ap-7733	383	31	]	]	PUNCT
ap-7733	383	32	r.	r.	PROPN
ap-7733	383	33	k.	k.	PROPN
ap-7733	383	34	yadav	yadav	PROPN
ap-7733	383	35	,	,	PUNCT
ap-7733	383	36	a.	a.	PROPN
ap-7733	383	37	khare	khare	PROPN
ap-7733	383	38	,	,	PUNCT
ap-7733	383	39	b.	b.	PROPN
ap-7733	383	40	bagchi	bagchi	PROPN
ap-7733	383	41	,	,	PUNCT
ap-7733	383	42	et	et	PROPN
ap-7733	383	43	al	al	PROPN
ap-7733	383	44	.	.	PROPN
ap-7733	384	1	parametric	parametric	PROPN
ap-7733	384	2	symmetries	symmetry	NOUN
ap-7733	384	3	in	in	ADP
ap-7733	384	4	exactly	exactly	ADV
ap-7733	384	5	solvable	solvable	ADJ
ap-7733	384	6	real	real	ADJ
ap-7733	384	7	and	and	CCONJ
ap-7733	384	8	pt	pt	INTJ
ap-7733	384	9	symmetric	symmetric	ADJ
ap-7733	384	10	complex	complex	ADJ
ap-7733	384	11	potentials	potential	NOUN
ap-7733	384	12	.	.	PUNCT
ap-7733	385	1	journal	journal	PROPN
ap-7733	385	2	of	of	ADP
ap-7733	385	3	mathematical	mathematical	ADJ
ap-7733	385	4	physics	physics	PROPN
ap-7733	385	5	57(6):062106	57(6):062106	NUM
ap-7733	385	6	,	,	PUNCT
ap-7733	385	7	2016	2016	NUM
ap-7733	385	8	.	.	PUNCT
ap-7733	386	1	https://doi.org/10.1063/1.4954330	https://doi.org/10.1063/1.4954330	PROPN
ap-7733	386	2	.	.	PUNCT
ap-7733	387	1	[	[	X
ap-7733	387	2	33	33	NUM
ap-7733	387	3	]	]	PUNCT
ap-7733	387	4	r.	r.	PROPN
ap-7733	387	5	k.	k.	PROPN
ap-7733	387	6	yadav	yadav	PROPN
ap-7733	387	7	,	,	PUNCT
ap-7733	387	8	a.	a.	PROPN
ap-7733	387	9	khare	khare	PROPN
ap-7733	387	10	,	,	PUNCT
ap-7733	387	11	b.	b.	PROPN
ap-7733	387	12	p.	p.	PROPN
ap-7733	387	13	mandal	mandal	PROPN
ap-7733	387	14	.	.	PUNCT
ap-7733	388	1	the	the	DET
ap-7733	388	2	scattering	scatter	VERB
ap-7733	388	3	amplitude	amplitude	NOUN
ap-7733	388	4	for	for	ADP
ap-7733	388	5	newly	newly	ADV
ap-7733	388	6	found	find	VERB
ap-7733	388	7	exactly	exactly	ADV
ap-7733	388	8	solvable	solvable	ADJ
ap-7733	388	9	potential	potential	NOUN
ap-7733	388	10	.	.	PUNCT
ap-7733	389	1	annals	annal	NOUN
ap-7733	389	2	of	of	ADP
ap-7733	389	3	physics	physics	NOUN
ap-7733	389	4	331:313–316	331:313–316	NUM
ap-7733	389	5	,	,	PUNCT
ap-7733	389	6	2013	2013	NUM
ap-7733	389	7	.	.	PUNCT
ap-7733	390	1	https://doi.org/10.1016/j.aop.2013.01.006	https://doi.org/10.1016/j.aop.2013.01.006	ADJ
ap-7733	390	2	.	.	PUNCT
ap-7733	391	1	[	[	X
ap-7733	391	2	34	34	NUM
ap-7733	391	3	]	]	PUNCT
ap-7733	391	4	r.	r.	PROPN
ap-7733	391	5	k.	k.	PROPN
ap-7733	391	6	yadav	yadav	PROPN
ap-7733	391	7	,	,	PUNCT
ap-7733	391	8	a.	a.	PROPN
ap-7733	391	9	khare	khare	PROPN
ap-7733	391	10	,	,	PUNCT
ap-7733	391	11	b.	b.	PROPN
ap-7733	391	12	p.	p.	PROPN
ap-7733	391	13	mandal	mandal	PROPN
ap-7733	391	14	.	.	PUNCT
ap-7733	392	1	the	the	DET
ap-7733	392	2	scattering	scatter	VERB
ap-7733	392	3	amplitude	amplitude	NOUN
ap-7733	392	4	for	for	ADP
ap-7733	392	5	one	one	NUM
ap-7733	392	6	parameter	parameter	NOUN
ap-7733	392	7	family	family	NOUN
ap-7733	392	8	of	of	ADP
ap-7733	392	9	shape	shape	NOUN
ap-7733	392	10	invariant	invariant	ADJ
ap-7733	392	11	potentials	potential	NOUN
ap-7733	392	12	related	relate	VERB
ap-7733	392	13	to	to	ADP
ap-7733	392	14	xm	xm	PROPN
ap-7733	392	15	jacobi	jacobi	PROPN
ap-7733	392	16	polynomials	polynomials	PROPN
ap-7733	392	17	.	.	PUNCT
ap-7733	393	1	physics	physics	NOUN
ap-7733	393	2	letter	letter	PROPN
ap-7733	393	3	b	b	PROPN
ap-7733	393	4	723(4	723(4	NUM
ap-7733	393	5	-	-	SYM
ap-7733	393	6	5):433–435	5):433–435	NUM
ap-7733	393	7	,	,	PUNCT
ap-7733	393	8	2013	2013	NUM
ap-7733	393	9	.	.	PUNCT
ap-7733	394	1	https://doi.org/10.1016/j.physletb.2013.05.036	https://doi.org/10.1016/j.physletb.2013.05.036	NOUN
ap-7733	394	2	.	.	PUNCT
ap-7733	395	1	[	[	X
ap-7733	395	2	35	35	NUM
ap-7733	395	3	]	]	PUNCT
ap-7733	395	4	r.	r.	PROPN
ap-7733	395	5	k.	k.	PROPN
ap-7733	395	6	yadav	yadav	PROPN
ap-7733	395	7	,	,	PUNCT
ap-7733	395	8	a.	a.	PROPN
ap-7733	395	9	khare	khare	PROPN
ap-7733	395	10	,	,	PUNCT
ap-7733	395	11	b.	b.	PROPN
ap-7733	395	12	p.	p.	PROPN
ap-7733	395	13	mandal	mandal	PROPN
ap-7733	395	14	.	.	PUNCT
ap-7733	396	1	rationally	rationally	ADV
ap-7733	396	2	extended	extend	VERB
ap-7733	396	3	shape	shape	NOUN
ap-7733	396	4	invariant	invariant	ADJ
ap-7733	396	5	potentials	potential	NOUN
ap-7733	396	6	in	in	ADP
ap-7733	396	7	arbitrary	arbitrary	ADJ
ap-7733	396	8	d	d	NOUN
ap-7733	396	9	-	-	PUNCT
ap-7733	396	10	dimensions	dimension	NOUN
ap-7733	396	11	associated	associate	VERB
ap-7733	396	12	with	with	ADP
ap-7733	396	13	exceptional	exceptional	ADJ
ap-7733	396	14	xm	xm	PROPN
ap-7733	396	15	polynomials	polynomial	NOUN
ap-7733	396	16	.	.	PUNCT
ap-7733	397	1	acta	acta	PROPN
ap-7733	397	2	polytechnica	polytechnica	PROPN
ap-7733	397	3	57(6):477–487	57(6):477–487	PROPN
ap-7733	397	4	,	,	PUNCT
ap-7733	397	5	2017	2017	NUM
ap-7733	397	6	.	.	PUNCT
ap-7733	398	1	https://doi.org/10.14311/ap.2017.57.0477	https://doi.org/10.14311/ap.2017.57.0477	NOUN
ap-7733	398	2	.	.	PUNCT
ap-7733	399	1	[	[	X
ap-7733	399	2	36	36	NUM
ap-7733	399	3	]	]	PUNCT
ap-7733	399	4	r.	r.	PROPN
ap-7733	399	5	k.	k.	PROPN
ap-7733	399	6	yadav	yadav	PROPN
ap-7733	399	7	,	,	PUNCT
ap-7733	399	8	a.	a.	PROPN
ap-7733	399	9	khare	khare	PROPN
ap-7733	399	10	,	,	PUNCT
ap-7733	399	11	b.	b.	PROPN
ap-7733	399	12	p.	p.	PROPN
ap-7733	399	13	mandal	mandal	PROPN
ap-7733	399	14	.	.	PUNCT
ap-7733	400	1	the	the	DET
ap-7733	400	2	scattering	scatter	VERB
ap-7733	400	3	amplitude	amplitude	NOUN
ap-7733	400	4	for	for	ADP
ap-7733	400	5	rationally	rationally	ADV
ap-7733	400	6	extended	extended	ADJ
ap-7733	400	7	shape	shape	NOUN
ap-7733	400	8	invariant	invariant	ADJ
ap-7733	400	9	eckart	eckart	NOUN
ap-7733	400	10	potentials	potential	NOUN
ap-7733	400	11	.	.	PUNCT
ap-7733	401	1	physics	physics	NOUN
ap-7733	401	2	letter	letter	NOUN
ap-7733	401	3	a	a	DET
ap-7733	401	4	379(3):67–70	379(3):67–70	NOUN
ap-7733	401	5	,	,	PUNCT
ap-7733	401	6	2015	2015	NUM
ap-7733	401	7	.	.	PUNCT
ap-7733	402	1	https://doi.org/10.1016/j.physleta.2014.11.009	https://doi.org/10.1016/j.physleta.2014.11.009	X
ap-7733	402	2	.	.	PUNCT
ap-7733	403	1	[	[	X
ap-7733	403	2	37	37	NUM
ap-7733	403	3	]	]	PUNCT
ap-7733	403	4	c.	c.	NOUN
ap-7733	403	5	quesne	quesne	NOUN
ap-7733	403	6	.	.	PUNCT
ap-7733	404	1	revisiting	revisit	VERB
ap-7733	404	2	(	(	PUNCT
ap-7733	404	3	quasi-)exactly	quasi-)exactly	ADV
ap-7733	404	4	solvable	solvable	ADJ
ap-7733	404	5	rational	rational	ADJ
ap-7733	404	6	extensions	extension	NOUN
ap-7733	404	7	of	of	ADP
ap-7733	404	8	the	the	DET
ap-7733	404	9	morse	morse	ADJ
ap-7733	404	10	potential	potential	NOUN
ap-7733	404	11	.	.	PUNCT
ap-7733	405	1	international	international	ADJ
ap-7733	405	2	journal	journal	NOUN
ap-7733	405	3	of	of	ADP
ap-7733	405	4	modern	modern	ADJ
ap-7733	405	5	physics	physic	NOUN
ap-7733	405	6	a	a	PRON
ap-7733	405	7	27(13):1250073	27(13):1250073	NUM
ap-7733	405	8	,	,	PUNCT
ap-7733	405	9	2012	2012	NUM
ap-7733	405	10	.	.	PUNCT
ap-7733	406	1	https://doi.org/10.1142/s0217751x1250073x	https://doi.org/10.1142/s0217751x1250073x	ADJ
ap-7733	406	2	.	.	PUNCT
ap-7733	407	1	[	[	X
ap-7733	407	2	38	38	NUM
ap-7733	407	3	]	]	PUNCT
ap-7733	407	4	w.	w.	PROPN
ap-7733	407	5	witten	witten	PROPN
ap-7733	407	6	.	.	PUNCT
ap-7733	408	1	dynamical	dynamical	ADJ
ap-7733	408	2	breaking	breaking	NOUN
ap-7733	408	3	of	of	ADP
ap-7733	408	4	supersymmetry	supersymmetry	NOUN
ap-7733	408	5	.	.	PUNCT
ap-7733	409	1	nuclear	nuclear	ADJ
ap-7733	409	2	physics	physics	PROPN
ap-7733	409	3	b	b	PROPN
ap-7733	409	4	188(3):513–554	188(3):513–554	NUM
ap-7733	409	5	,	,	PUNCT
ap-7733	409	6	1981	1981	NUM
ap-7733	409	7	.	.	PUNCT
ap-7733	410	1	https://doi.org/10.1016/0550-3213(81)90006-7	https://doi.org/10.1016/0550-3213(81)90006-7	NOUN
ap-7733	410	2	.	.	PUNCT
ap-7733	411	1	[	[	X
ap-7733	411	2	39	39	NUM
ap-7733	411	3	]	]	PUNCT
ap-7733	411	4	f.	f.	PROPN
ap-7733	411	5	cooper	cooper	PROPN
ap-7733	411	6	,	,	PUNCT
ap-7733	411	7	a.	a.	PROPN
ap-7733	411	8	khare	khare	PROPN
ap-7733	411	9	,	,	PUNCT
ap-7733	411	10	u.	u.	PROPN
ap-7733	411	11	sukhatme	sukhatme	PROPN
ap-7733	411	12	.	.	PUNCT
ap-7733	412	1	supersymmetric	supersymmetric	ADJ
ap-7733	412	2	quantum	quantum	ADJ
ap-7733	412	3	mechanics	mechanic	NOUN
ap-7733	412	4	.	.	PUNCT
ap-7733	413	1	world	world	PROPN
ap-7733	413	2	scientific	scientific	PROPN
ap-7733	413	3	,	,	PUNCT
ap-7733	413	4	singapore	singapore	PROPN
ap-7733	413	5	,	,	PUNCT
ap-7733	413	6	2001	2001	NUM
ap-7733	413	7	.	.	PUNCT
ap-7733	414	1	https://doi.org/10.1142/4687	https://doi.org/10.1142/4687	NOUN
ap-7733	414	2	.	.	PUNCT
ap-7733	415	1	[	[	X
ap-7733	415	2	40	40	NUM
ap-7733	415	3	]	]	PUNCT
ap-7733	415	4	a.	a.	PROPN
ap-7733	415	5	anderson	anderson	PROPN
ap-7733	415	6	.	.	PUNCT
ap-7733	416	1	canonical	canonical	ADJ
ap-7733	416	2	transformations	transformation	NOUN
ap-7733	416	3	in	in	ADP
ap-7733	416	4	quantum	quantum	ADJ
ap-7733	416	5	mechanics	mechanic	NOUN
ap-7733	416	6	.	.	PUNCT
ap-7733	417	1	annals	annal	NOUN
ap-7733	417	2	of	of	ADP
ap-7733	417	3	physics	physics	NOUN
ap-7733	417	4	232(2):292–331	232(2):292–331	NUM
ap-7733	417	5	,	,	PUNCT
ap-7733	417	6	1994	1994	NUM
ap-7733	417	7	.	.	PUNCT
ap-7733	418	1	https://doi.org/10.1006/aphy.1994.1055	https://doi.org/10.1006/aphy.1994.1055	PROPN
ap-7733	418	2	.	.	PUNCT
ap-7733	419	1	[	[	X
ap-7733	419	2	41	41	NUM
ap-7733	419	3	]	]	PUNCT
ap-7733	419	4	a.	a.	NOUN
ap-7733	419	5	bhattacharjie	bhattacharjie	PROPN
ap-7733	419	6	,	,	PUNCT
ap-7733	419	7	e.	e.	PROPN
ap-7733	419	8	c.	c.	PROPN
ap-7733	419	9	g.	g.	PROPN
ap-7733	419	10	sudarshan	sudarshan	PROPN
ap-7733	419	11	.	.	PUNCT
ap-7733	420	1	a	a	DET
ap-7733	420	2	class	class	NOUN
ap-7733	420	3	of	of	ADP
ap-7733	420	4	solvable	solvable	ADJ
ap-7733	420	5	potentials	potential	NOUN
ap-7733	420	6	.	.	PUNCT
ap-7733	421	1	nuovo	nuovo	PROPN
ap-7733	421	2	cimento	cimento	PROPN
ap-7733	421	3	25:864–879	25:864–879	NUM
ap-7733	421	4	,	,	PUNCT
ap-7733	421	5	1962	1962	NUM
ap-7733	421	6	.	.	PUNCT
ap-7733	422	1	https://doi.org/10.1007/bf02733153	https://doi.org/10.1007/bf02733153	X
ap-7733	422	2	.	.	PUNCT
ap-7733	423	1	[	[	X
ap-7733	423	2	42	42	NUM
ap-7733	423	3	]	]	X
ap-7733	423	4	g.	g.	PROPN
ap-7733	423	5	darboux	darboux	NOUN
ap-7733	423	6	.	.	PUNCT
ap-7733	424	1	theorie	theorie	PROPN
ap-7733	424	2	generale	generale	PROPN
ap-7733	424	3	des	des	PROPN
ap-7733	424	4	surfaces	surface	NOUN
ap-7733	424	5	,	,	PUNCT
ap-7733	424	6	vol	vol	NOUN
ap-7733	424	7	.	.	PROPN
ap-7733	424	8	2	2	NUM
ap-7733	424	9	.	.	X
ap-7733	424	10	gauthier	gauthier	NOUN
ap-7733	424	11	-	-	PUNCT
ap-7733	424	12	villars	villars	PROPN
ap-7733	424	13	,	,	PUNCT
ap-7733	424	14	paris	paris	PROPN
ap-7733	424	15	,	,	PUNCT
ap-7733	424	16	1998	1998	NUM
ap-7733	424	17	.	.	PUNCT
ap-7733	425	1	[	[	X
ap-7733	425	2	43	43	NUM
ap-7733	425	3	]	]	X
ap-7733	425	4	r.	r.	PROPN
ap-7733	425	5	sasaki	sasaki	PROPN
ap-7733	425	6	,	,	PUNCT
ap-7733	425	7	s.	s.	PROPN
ap-7733	425	8	tsujimoto	tsujimoto	PROPN
ap-7733	425	9	,	,	PUNCT
ap-7733	425	10	a.	a.	PROPN
ap-7733	425	11	zhedanov	zhedanov	PROPN
ap-7733	425	12	.	.	PUNCT
ap-7733	426	1	exceptional	exceptional	ADJ
ap-7733	426	2	laguerre	laguerre	NOUN
ap-7733	426	3	and	and	CCONJ
ap-7733	426	4	jacobi	jacobi	PROPN
ap-7733	426	5	polynomials	polynomial	NOUN
ap-7733	426	6	and	and	CCONJ
ap-7733	426	7	corresponding	correspond	VERB
ap-7733	426	8	potentials	potential	NOUN
ap-7733	426	9	through	through	ADP
ap-7733	426	10	darboux	darboux	VERB
ap-7733	426	11	crum	crum	NOUN
ap-7733	426	12	transformations	transformation	NOUN
ap-7733	426	13	.	.	PUNCT
ap-7733	427	1	journal	journal	PROPN
ap-7733	427	2	of	of	ADP
ap-7733	427	3	physics	physics	PROPN
ap-7733	427	4	a	a	PRON
ap-7733	427	5	:	:	PUNCT
ap-7733	427	6	mathematical	mathematical	ADJ
ap-7733	427	7	and	and	CCONJ
ap-7733	427	8	theoretical	theoretical	ADJ
ap-7733	427	9	43(31):315204	43(31):315204	NUM
ap-7733	427	10	,	,	PUNCT
ap-7733	427	11	2010	2010	NUM
ap-7733	427	12	.	.	PUNCT
ap-7733	428	1	https://doi.org/10.1088/1751-8113/43/31/315204	https://doi.org/10.1088/1751-8113/43/31/315204	PROPN
ap-7733	428	2	.	.	PUNCT
ap-7733	429	1	[	[	X
ap-7733	429	2	44	44	NUM
ap-7733	429	3	]	]	X
ap-7733	429	4	y.	y.	PROPN
ap-7733	429	5	alhassid	alhassid	PROPN
ap-7733	429	6	,	,	PUNCT
ap-7733	429	7	f.	f.	PROPN
ap-7733	429	8	gürsey	gürsey	PROPN
ap-7733	429	9	,	,	PUNCT
ap-7733	429	10	f.	f.	PROPN
ap-7733	429	11	iachello	iachello	PROPN
ap-7733	429	12	.	.	PUNCT
ap-7733	430	1	potential	potential	ADJ
ap-7733	430	2	scattering	scattering	NOUN
ap-7733	430	3	,	,	PUNCT
ap-7733	430	4	transfer	transfer	NOUN
ap-7733	430	5	matrix	matrix	NOUN
ap-7733	430	6	and	and	CCONJ
ap-7733	430	7	group	group	NOUN
ap-7733	430	8	theory	theory	NOUN
ap-7733	430	9	.	.	PUNCT
ap-7733	431	1	physical	physical	ADJ
ap-7733	431	2	review	review	NOUN
ap-7733	431	3	letters	letter	NOUN
ap-7733	431	4	50(12):873–876	50(12):873–876	NUM
ap-7733	431	5	,	,	PUNCT
ap-7733	431	6	1983	1983	NUM
ap-7733	431	7	.	.	PUNCT
ap-7733	432	1	https://doi.org/10.1103/physrevlett.50.873	https://doi.org/10.1103/physrevlett.50.873	PROPN
ap-7733	432	2	.	.	PUNCT
ap-7733	433	1	[	[	X
ap-7733	433	2	45	45	NUM
ap-7733	433	3	]	]	PUNCT
ap-7733	433	4	a.	a.	NOUN
ap-7733	433	5	ushveridze	ushveridze	NOUN
ap-7733	433	6	.	.	PUNCT
ap-7733	434	1	quasi	quasi	ADJ
ap-7733	434	2	-	-	ADJ
ap-7733	434	3	exactly	exactly	ADV
ap-7733	434	4	solvable	solvable	ADJ
ap-7733	434	5	models	model	NOUN
ap-7733	434	6	in	in	ADP
ap-7733	434	7	quantum	quantum	ADJ
ap-7733	434	8	mechanics	mechanic	NOUN
ap-7733	434	9	.	.	PUNCT
ap-7733	435	1	iop	iop	PROPN
ap-7733	435	2	,	,	PUNCT
ap-7733	435	3	bristol	bristol	PROPN
ap-7733	435	4	,	,	PUNCT
ap-7733	435	5	1994	1994	NUM
ap-7733	435	6	.	.	PUNCT
ap-7733	436	1	[	[	X
ap-7733	436	2	46	46	NUM
ap-7733	436	3	]	]	X
ap-7733	436	4	a.	a.	NOUN
ap-7733	436	5	khare	khare	PROPN
ap-7733	436	6	,	,	PUNCT
ap-7733	436	7	b.	b.	PROPN
ap-7733	436	8	p.	p.	PROPN
ap-7733	436	9	mandal	mandal	PROPN
ap-7733	436	10	.	.	PUNCT
ap-7733	437	1	a	a	DET
ap-7733	437	2	number	number	NOUN
ap-7733	437	3	of	of	ADP
ap-7733	437	4	quasi	quasi	ADJ
ap-7733	437	5	-	-	ADJ
ap-7733	437	6	exactly	exactly	ADV
ap-7733	437	7	solvable	solvable	ADJ
ap-7733	437	8	n	n	CCONJ
ap-7733	437	9	-body	-body	ADJ
ap-7733	437	10	problems	problem	NOUN
ap-7733	437	11	.	.	PUNCT
ap-7733	438	1	journal	journal	PROPN
ap-7733	438	2	of	of	ADP
ap-7733	438	3	mathematical	mathematical	ADJ
ap-7733	438	4	physics	physics	NOUN
ap-7733	438	5	39(11):5789–5797	39(11):5789–5797	NUM
ap-7733	438	6	,	,	PUNCT
ap-7733	438	7	1998	1998	NUM
ap-7733	438	8	.	.	PUNCT
ap-7733	439	1	https://doi.org/10.1063/1.532593	https://doi.org/10.1063/1.532593	PROPN
ap-7733	439	2	.	.	PUNCT
ap-7733	440	1	[	[	X
ap-7733	440	2	47	47	NUM
ap-7733	440	3	]	]	PUNCT
ap-7733	440	4	a.	a.	NOUN
ap-7733	440	5	khare	khare	PROPN
ap-7733	440	6	,	,	PUNCT
ap-7733	440	7	b.	b.	PROPN
ap-7733	440	8	p.	p.	PROPN
ap-7733	440	9	mandal	mandal	PROPN
ap-7733	440	10	.	.	PUNCT
ap-7733	441	1	do	do	AUX
ap-7733	441	2	quasi	quasi	ADJ
ap-7733	441	3	-	-	ADJ
ap-7733	441	4	exactly	exactly	ADV
ap-7733	441	5	solvable	solvable	ADJ
ap-7733	441	6	systems	system	NOUN
ap-7733	441	7	always	always	ADV
ap-7733	441	8	correspond	correspond	VERB
ap-7733	441	9	to	to	ADP
ap-7733	441	10	orthogonal	orthogonal	ADJ
ap-7733	441	11	polynomials	polynomial	NOUN
ap-7733	441	12	?	?	PUNCT
ap-7733	442	1	physics	physics	NOUN
ap-7733	442	2	letter	letter	NOUN
ap-7733	442	3	a	a	DET
ap-7733	442	4	239(4	239(4	NUM
ap-7733	442	5	-	-	SYM
ap-7733	442	6	5):197–200	5):197–200	NUM
ap-7733	442	7	,	,	PUNCT
ap-7733	442	8	1998	1998	NUM
ap-7733	442	9	.	.	PUNCT
ap-7733	443	1	https://doi.org/10.1016/s0375-9601(97)00897-9	https://doi.org/10.1016/s0375-9601(97)00897-9	PROPN
ap-7733	443	2	.	.	PUNCT
ap-7733	444	1	[	[	X
ap-7733	444	2	48	48	NUM
ap-7733	444	3	]	]	PUNCT
ap-7733	444	4	a.	a.	NOUN
ap-7733	444	5	khare	khare	PROPN
ap-7733	444	6	,	,	PUNCT
ap-7733	444	7	b.	b.	PROPN
ap-7733	444	8	p.	p.	PROPN
ap-7733	444	9	mandal	mandal	PROPN
ap-7733	444	10	.	.	PUNCT
ap-7733	445	1	new	new	ADJ
ap-7733	445	2	qes	qes	PROPN
ap-7733	445	3	hermitian	hermitian	PROPN
ap-7733	445	4	as	as	ADV
ap-7733	445	5	well	well	ADV
ap-7733	445	6	as	as	ADP
ap-7733	445	7	non	non	ADJ
ap-7733	445	8	-	-	ADJ
ap-7733	445	9	hermitian	hermitian	ADJ
ap-7733	445	10	pt	pt	X
ap-7733	445	11	invariant	invariant	PROPN
ap-7733	445	12	potentials	potential	NOUN
ap-7733	445	13	.	.	PUNCT
ap-7733	446	1	pramana	pramana	PROPN
ap-7733	446	2	:	:	PUNCT
ap-7733	446	3	journal	journal	PROPN
ap-7733	446	4	of	of	ADP
ap-7733	446	5	physics	physics	PROPN
ap-7733	446	6	73:387–395	73:387–395	PROPN
ap-7733	446	7	,	,	PUNCT
ap-7733	446	8	2009	2009	NUM
ap-7733	446	9	.	.	PUNCT
ap-7733	447	1	[	[	X
ap-7733	447	2	49	49	NUM
ap-7733	447	3	]	]	PUNCT
ap-7733	447	4	a.	a.	NOUN
ap-7733	447	5	turbiner	turbiner	NOUN
ap-7733	447	6	.	.	PUNCT
ap-7733	448	1	quasi	quasi	ADJ
ap-7733	448	2	-	-	ADJ
ap-7733	448	3	exactly	exactly	ADV
ap-7733	448	4	-	-	PUNCT
ap-7733	448	5	solvable	solvable	ADJ
ap-7733	448	6	problems	problem	NOUN
ap-7733	448	7	andsl(2	andsl(2	NOUN
ap-7733	448	8	)	)	PUNCT
ap-7733	448	9	algebra	algebra	NOUN
ap-7733	448	10	.	.	PUNCT
ap-7733	449	1	communications	communication	NOUN
ap-7733	449	2	in	in	ADP
ap-7733	449	3	mathematical	mathematical	ADJ
ap-7733	449	4	physics	physics	NOUN
ap-7733	449	5	118:467–474	118:467–474	NOUN
ap-7733	449	6	,	,	PUNCT
ap-7733	449	7	1988	1988	NUM
ap-7733	449	8	.	.	PUNCT
ap-7733	450	1	https://doi.org/10.1007/bf01466727	https://doi.org/10.1007/bf01466727	X
ap-7733	450	2	.	.	PUNCT
ap-7733	451	1	[	[	X
ap-7733	451	2	50	50	NUM
ap-7733	451	3	]	]	PUNCT
ap-7733	451	4	g.	g.	PROPN
ap-7733	451	5	junker	junker	PROPN
ap-7733	451	6	,	,	PUNCT
ap-7733	451	7	p.	p.	PROPN
ap-7733	451	8	roy	roy	PROPN
ap-7733	451	9	.	.	PROPN
ap-7733	452	1	conditionally	conditionally	ADV
ap-7733	452	2	exactly	exactly	ADV
ap-7733	452	3	solvable	solvable	ADJ
ap-7733	452	4	problems	problem	NOUN
ap-7733	452	5	and	and	CCONJ
ap-7733	452	6	non	non	ADJ
ap-7733	452	7	-	-	ADJ
ap-7733	452	8	linear	linear	ADJ
ap-7733	452	9	algebras	algebra	NOUN
ap-7733	452	10	.	.	PUNCT
ap-7733	453	1	physics	physics	NOUN
ap-7733	453	2	letters	letter	NOUN
ap-7733	453	3	a	a	DET
ap-7733	453	4	232(3	232(3	NUM
ap-7733	453	5	-	-	SYM
ap-7733	453	6	4):155–161	4):155–161	ADJ
ap-7733	453	7	,	,	PUNCT
ap-7733	453	8	1997	1997	NUM
ap-7733	453	9	.	.	PUNCT
ap-7733	454	1	https://doi.org/10.1016/s0375-9601(97)00422-2	https://doi.org/10.1016/s0375-9601(97)00422-2	PROPN
ap-7733	454	2	.	.	PUNCT
ap-7733	455	1	[	[	X
ap-7733	455	2	51	51	NUM
ap-7733	455	3	]	]	X
ap-7733	455	4	g.	g.	PROPN
ap-7733	455	5	levai	levai	PROPN
ap-7733	455	6	,	,	PUNCT
ap-7733	455	7	p.	p.	PROPN
ap-7733	455	8	roy	roy	PROPN
ap-7733	455	9	.	.	PROPN
ap-7733	456	1	conditionally	conditionally	ADV
ap-7733	456	2	exactly	exactly	ADV
ap-7733	456	3	solvable	solvable	ADJ
ap-7733	456	4	potentials	potential	NOUN
ap-7733	456	5	and	and	CCONJ
ap-7733	456	6	supersymmetric	supersymmetric	ADJ
ap-7733	456	7	transformations	transformation	NOUN
ap-7733	456	8	.	.	PUNCT
ap-7733	457	1	physics	physics	NOUN
ap-7733	457	2	letters	letter	VERB
ap-7733	457	3	a	a	DET
ap-7733	457	4	264(2	264(2	NUM
ap-7733	457	5	-	-	SYM
ap-7733	457	6	3):117–123	3):117–123	NUM
ap-7733	457	7	,	,	PUNCT
ap-7733	457	8	1999	1999	NUM
ap-7733	457	9	.	.	PUNCT
ap-7733	458	1	https://doi.org/10.1016/s0375-9601(99)00778-1	https://doi.org/10.1016/s0375-9601(99)00778-1	NOUN
ap-7733	458	2	.	.	PUNCT
ap-7733	459	1	[	[	X
ap-7733	459	2	52	52	NUM
ap-7733	459	3	]	]	PUNCT
ap-7733	459	4	c.	c.	PROPN
ap-7733	459	5	m.	m.	PROPN
ap-7733	459	6	bender	bender	PROPN
ap-7733	459	7	,	,	PUNCT
ap-7733	459	8	s.	s.	PROPN
ap-7733	459	9	boettcher	boettcher	PROPN
ap-7733	459	10	.	.	PUNCT
ap-7733	460	1	real	real	ADJ
ap-7733	460	2	spectra	spectra	NOUN
ap-7733	460	3	in	in	ADP
ap-7733	460	4	non	non	ADJ
ap-7733	460	5	-	-	ADJ
ap-7733	460	6	hermitian	hermitian	ADJ
ap-7733	460	7	hamiltonians	hamiltonian	NOUN
ap-7733	460	8	having	have	VERB
ap-7733	460	9	pt	pt	PRON
ap-7733	460	10	symmetry	symmetry	NOUN
ap-7733	460	11	.	.	PUNCT
ap-7733	461	1	physical	physical	PROPN
ap-7733	461	2	review	review	PROPN
ap-7733	461	3	letters	letter	NOUN
ap-7733	461	4	80(24):5243–5246	80(24):5243–5246	NUM
ap-7733	461	5	,	,	PUNCT
ap-7733	461	6	1998	1998	NUM
ap-7733	461	7	.	.	PUNCT
ap-7733	462	1	https://doi.org/10.1103/physrevlett.80.5243	https://doi.org/10.1103/physrevlett.80.5243	NOUN
ap-7733	462	2	.	.	PUNCT
ap-7733	463	1	[	[	X
ap-7733	463	2	53	53	NUM
ap-7733	463	3	]	]	PUNCT
ap-7733	463	4	c.	c.	PROPN
ap-7733	463	5	m.	m.	PROPN
ap-7733	463	6	bender	bender	PROPN
ap-7733	463	7	.	.	PUNCT
ap-7733	464	1	making	make	VERB
ap-7733	464	2	sense	sense	NOUN
ap-7733	464	3	of	of	ADP
ap-7733	464	4	non	non	ADJ
ap-7733	464	5	-	-	ADJ
ap-7733	464	6	hermitian	hermitian	ADJ
ap-7733	464	7	hamiltonians	hamiltonian	NOUN
ap-7733	464	8	.	.	PUNCT
ap-7733	465	1	reports	report	NOUN
ap-7733	465	2	on	on	ADP
ap-7733	465	3	progress	progress	NOUN
ap-7733	465	4	in	in	ADP
ap-7733	465	5	physics	physics	NOUN
ap-7733	465	6	70(6):947–1018	70(6):947–1018	PROPN
ap-7733	465	7	,	,	PUNCT
ap-7733	465	8	2007	2007	NUM
ap-7733	465	9	.	.	PUNCT
ap-7733	466	1	https://doi.org/10.1088/0034-4885/70/6/r03	https://doi.org/10.1088/0034-4885/70/6/r03	PROPN
ap-7733	466	2	.	.	PUNCT
ap-7733	467	1	[	[	X
ap-7733	467	2	54	54	NUM
ap-7733	467	3	]	]	PUNCT
ap-7733	467	4	a.	a.	NOUN
ap-7733	467	5	mostafazadeh	mostafazadeh	PROPN
ap-7733	467	6	.	.	PUNCT
ap-7733	468	1	pseudo	pseudo	NOUN
ap-7733	468	2	-	-	ADJ
ap-7733	468	3	hermitian	hermitian	ADJ
ap-7733	468	4	representation	representation	NOUN
ap-7733	468	5	of	of	ADP
ap-7733	468	6	quantum	quantum	ADJ
ap-7733	468	7	mechanics	mechanic	NOUN
ap-7733	468	8	.	.	PUNCT
ap-7733	469	1	international	international	ADJ
ap-7733	469	2	journal	journal	PROPN
ap-7733	469	3	of	of	ADP
ap-7733	469	4	geometric	geometric	ADJ
ap-7733	469	5	methods	method	NOUN
ap-7733	469	6	in	in	ADP
ap-7733	469	7	modern	modern	ADJ
ap-7733	469	8	physics	physic	NOUN
ap-7733	469	9	07(07):1191–1306	07(07):1191–1306	PROPN
ap-7733	469	10	,	,	PUNCT
ap-7733	469	11	2010	2010	NUM
ap-7733	469	12	.	.	PUNCT
ap-7733	470	1	https://doi.org/10.1142/s0219887810004816	https://doi.org/10.1142/s0219887810004816	NUM
ap-7733	470	2	.	.	PUNCT
ap-7733	471	1	[	[	X
ap-7733	471	2	55	55	NUM
ap-7733	471	3	]	]	PUNCT
ap-7733	471	4	m.	m.	NOUN
ap-7733	471	5	moiseyev	moiseyev	PROPN
ap-7733	471	6	.	.	PUNCT
ap-7733	472	1	non	non	ADJ
ap-7733	472	2	-	-	ADJ
ap-7733	472	3	hermitian	hermitian	ADJ
ap-7733	472	4	quantum	quantum	ADJ
ap-7733	472	5	mechanics	mechanic	NOUN
ap-7733	472	6	.	.	PUNCT
ap-7733	473	1	cambridge	cambridge	PROPN
ap-7733	473	2	university	university	PROPN
ap-7733	473	3	press	press	NOUN
ap-7733	473	4	,	,	PUNCT
ap-7733	473	5	2011	2011	NUM
ap-7733	473	6	.	.	PUNCT
ap-7733	474	1	[	[	X
ap-7733	474	2	56	56	NUM
ap-7733	474	3	]	]	X
ap-7733	474	4	f.	f.	PROPN
ap-7733	474	5	bagarallo	bagarallo	PROPN
ap-7733	474	6	,	,	PUNCT
ap-7733	474	7	j.-p	j.-p	PROPN
ap-7733	474	8	.	.	PUNCT
ap-7733	475	1	gazeau	gazeau	PROPN
ap-7733	475	2	,	,	PUNCT
ap-7733	475	3	f.	f.	PROPN
ap-7733	475	4	h.	h.	PROPN
ap-7733	475	5	szafraniec	szafraniec	PROPN
ap-7733	475	6	,	,	PUNCT
ap-7733	475	7	m.	m.	NOUN
ap-7733	475	8	znojil	znojil	PROPN
ap-7733	475	9	.	.	PUNCT
ap-7733	476	1	non	non	ADJ
ap-7733	476	2	-	-	ADJ
ap-7733	476	3	selfadjoint	selfadjoint	ADJ
ap-7733	476	4	operators	operator	NOUN
ap-7733	476	5	in	in	ADP
ap-7733	476	6	quantum	quantum	ADJ
ap-7733	476	7	physics	physics	NOUN
ap-7733	476	8	:	:	PUNCT
ap-7733	476	9	mathematical	mathematical	ADJ
ap-7733	476	10	aspects	aspect	NOUN
ap-7733	476	11	.	.	PUNCT
ap-7733	477	1	wiley	wiley	PROPN
ap-7733	477	2	,	,	PUNCT
ap-7733	477	3	hoboken	hoboken	PROPN
ap-7733	477	4	,	,	PUNCT
ap-7733	477	5	2015	2015	NUM
ap-7733	477	6	.	.	PUNCT
ap-7733	478	1	[	[	X
ap-7733	478	2	57	57	NUM
ap-7733	478	3	]	]	PUNCT
ap-7733	478	4	b.	b.	PROPN
ap-7733	478	5	basu	basu	PROPN
ap-7733	478	6	-	-	PUNCT
ap-7733	478	7	mallick	mallick	PROPN
ap-7733	478	8	,	,	PUNCT
ap-7733	478	9	b.	b.	PROPN
ap-7733	478	10	p.	p.	PROPN
ap-7733	478	11	mandal	mandal	PROPN
ap-7733	478	12	.	.	PUNCT
ap-7733	479	1	on	on	ADP
ap-7733	479	2	an	an	DET
ap-7733	479	3	exactly	exactly	ADV
ap-7733	479	4	solvable	solvable	ADJ
ap-7733	479	5	bn	bn	INTJ
ap-7733	479	6	type	type	NOUN
ap-7733	479	7	calogero	calogero	PROPN
ap-7733	479	8	model	model	NOUN
ap-7733	479	9	with	with	ADP
ap-7733	479	10	non	non	ADJ
ap-7733	479	11	-	-	ADJ
ap-7733	479	12	hermitian	hermitian	ADJ
ap-7733	479	13	pt	pt	X
ap-7733	479	14	invariant	invariant	ADJ
ap-7733	479	15	interaction	interaction	NOUN
ap-7733	479	16	.	.	PUNCT
ap-7733	480	1	physics	physics	NOUN
ap-7733	480	2	letters	letter	NOUN
ap-7733	480	3	a	a	DET
ap-7733	480	4	284(6):231–237	284(6):231–237	NUM
ap-7733	480	5	,	,	PUNCT
ap-7733	480	6	2001	2001	NUM
ap-7733	480	7	.	.	PUNCT
ap-7733	481	1	https://doi.org/10.1016/s0375-9601(01)00310-3	https://doi.org/10.1016/s0375-9601(01)00310-3	NOUN
ap-7733	481	2	.	.	PUNCT
ap-7733	482	1	[	[	X
ap-7733	482	2	58	58	NUM
ap-7733	482	3	]	]	PUNCT
ap-7733	482	4	a.	a.	NOUN
ap-7733	482	5	khare	khare	PROPN
ap-7733	482	6	,	,	PUNCT
ap-7733	482	7	b.	b.	PROPN
ap-7733	482	8	p.	p.	PROPN
ap-7733	482	9	mandal	mandal	PROPN
ap-7733	482	10	.	.	PUNCT
ap-7733	483	1	a	a	DET
ap-7733	483	2	pt	pt	ADJ
ap-7733	483	3	-	-	PUNCT
ap-7733	483	4	invariant	invariant	ADJ
ap-7733	483	5	potential	potential	NOUN
ap-7733	483	6	with	with	ADP
ap-7733	483	7	complex	complex	ADJ
ap-7733	483	8	qes	qes	PROPN
ap-7733	483	9	eigenvalues	eigenvalue	NOUN
ap-7733	483	10	.	.	PUNCT
ap-7733	484	1	physics	physics	NOUN
ap-7733	484	2	letters	letter	NOUN
ap-7733	484	3	a	a	DET
ap-7733	484	4	272(1	272(1	NUM
ap-7733	484	5	-	-	SYM
ap-7733	484	6	2):53–56	2):53–56	NUM
ap-7733	484	7	,	,	PUNCT
ap-7733	484	8	2000	2000	NUM
ap-7733	484	9	.	.	PUNCT
ap-7733	485	1	https://doi.org/10.1016/s0375-9601(00)00409-6	https://doi.org/10.1016/s0375-9601(00)00409-6	NOUN
ap-7733	485	2	.	.	PUNCT
ap-7733	486	1	98	98	NUM
ap-7733	486	2	https://doi.org/10.1063/1.4954330	https://doi.org/10.1063/1.4954330	PROPN
ap-7733	486	3	https://doi.org/10.1016/j.aop.2013.01.006	https://doi.org/10.1016/j.aop.2013.01.006	NOUN
ap-7733	486	4	https://doi.org/10.1016/j.physletb.2013.05.036	https://doi.org/10.1016/j.physletb.2013.05.036	PROPN
ap-7733	486	5	https://doi.org/10.14311/ap.2017.57.0477	https://doi.org/10.14311/ap.2017.57.0477	PROPN
ap-7733	486	6	https://doi.org/10.1016/j.physleta.2014.11.009	https://doi.org/10.1016/j.physleta.2014.11.009	NUM
ap-7733	486	7	https://doi.org/10.1142/s0217751x1250073x	https://doi.org/10.1142/s0217751x1250073x	PROPN
ap-7733	486	8	https://doi.org/10.1016/0550-3213(81)90006-7	https://doi.org/10.1016/0550-3213(81)90006-7	PROPN
ap-7733	486	9	https://doi.org/10.1142/4687	https://doi.org/10.1142/4687	NOUN
ap-7733	486	10	https://doi.org/10.1006/aphy.1994.1055	https://doi.org/10.1006/aphy.1994.1055	PROPN
ap-7733	486	11	https://doi.org/10.1007/bf02733153	https://doi.org/10.1007/bf02733153	VERB
ap-7733	486	12	https://doi.org/10.1088/1751-8113/43/31/315204	https://doi.org/10.1088/1751-8113/43/31/315204	PROPN
ap-7733	486	13	https://doi.org/10.1103/physrevlett.50.873	https://doi.org/10.1103/physrevlett.50.873	VERB
ap-7733	486	14	https://doi.org/10.1063/1.532593	https://doi.org/10.1063/1.532593	PROPN
ap-7733	486	15	https://doi.org/10.1016/s0375-9601(97)00897-9	https://doi.org/10.1016/s0375-9601(97)00897-9	PROPN
ap-7733	486	16	https://doi.org/10.1007/bf01466727	https://doi.org/10.1007/bf01466727	PUNCT
ap-7733	486	17	https://doi.org/10.1016/s0375-9601(97)00422-2	https://doi.org/10.1016/s0375-9601(97)00422-2	PROPN
ap-7733	486	18	https://doi.org/10.1016/s0375-9601(99)00778-1	https://doi.org/10.1016/s0375-9601(99)00778-1	PROPN
ap-7733	486	19	https://doi.org/10.1103/physrevlett.80.5243	https://doi.org/10.1103/physrevlett.80.5243	PROPN
ap-7733	486	20	https://doi.org/10.1088/0034-4885/70/6/r03	https://doi.org/10.1088/0034-4885/70/6/r03	NOUN
ap-7733	486	21	https://doi.org/10.1142/s0219887810004816	https://doi.org/10.1142/s0219887810004816	NUM
ap-7733	486	22	https://doi.org/10.1016/s0375-9601(01)00310-3	https://doi.org/10.1016/s0375-9601(01)00310-3	ADJ
ap-7733	486	23	https://doi.org/10.1016/s0375-9601(00)00409-6	https://doi.org/10.1016/s0375-9601(00)00409-6	ADJ
ap-7733	486	24	vol	vol	NOUN
ap-7733	486	25	.	.	PUNCT
ap-7733	487	1	62	62	NUM
ap-7733	487	2	no	no	INTJ
ap-7733	487	3	.	.	PUNCT
ap-7733	488	1	1/2022	1/2022	NUM
ap-7733	488	2	rational	rational	ADJ
ap-7733	488	3	extension	extension	NOUN
ap-7733	488	4	of	of	ADP
ap-7733	488	5	many	many	ADJ
ap-7733	488	6	particle	particle	NOUN
ap-7733	488	7	systems	system	NOUN
ap-7733	488	8	[	[	X
ap-7733	488	9	59	59	NUM
ap-7733	488	10	]	]	PUNCT
ap-7733	488	11	r.	r.	PROPN
ap-7733	488	12	modak	modak	PROPN
ap-7733	488	13	,	,	PUNCT
ap-7733	488	14	b.	b.	PROPN
ap-7733	488	15	p.	p.	PROPN
ap-7733	488	16	mandal	mandal	PROPN
ap-7733	488	17	.	.	PUNCT
ap-7733	489	1	eigenstate	eigenstate	PROPN
ap-7733	489	2	entanglement	entanglement	PROPN
ap-7733	489	3	entropy	entropy	NOUN
ap-7733	489	4	in	in	ADP
ap-7733	489	5	a	a	DET
ap-7733	489	6	pt	pt	NOUN
ap-7733	489	7	-invariant	-invariant	ADJ
ap-7733	489	8	non	non	ADJ
ap-7733	489	9	-	-	ADJ
ap-7733	489	10	hermitian	hermitian	ADJ
ap-7733	489	11	system	system	NOUN
ap-7733	489	12	.	.	PUNCT
ap-7733	490	1	physical	physical	ADJ
ap-7733	490	2	review	review	NOUN
ap-7733	490	3	a	a	DET
ap-7733	490	4	103(6):062416	103(6):062416	PROPN
ap-7733	490	5	,	,	PUNCT
ap-7733	490	6	2021	2021	NUM
ap-7733	490	7	.	.	PUNCT
ap-7733	491	1	https://doi.org/10.1103/physreva.103.062416	https://doi.org/10.1103/physreva.103.062416	NUM
ap-7733	491	2	.	.	PUNCT
ap-7733	492	1	[	[	X
ap-7733	492	2	60	60	NUM
ap-7733	492	3	]	]	X
ap-7733	492	4	r.	r.	PROPN
ap-7733	492	5	rawal	rawal	PROPN
ap-7733	492	6	,	,	PUNCT
ap-7733	492	7	b.	b.	PROPN
ap-7733	492	8	p.	p.	PROPN
ap-7733	492	9	mandal	mandal	PROPN
ap-7733	492	10	.	.	PUNCT
ap-7733	493	1	deconfinement	deconfinement	PROPN
ap-7733	493	2	to	to	ADP
ap-7733	493	3	confinement	confinement	NOUN
ap-7733	493	4	as	as	ADP
ap-7733	493	5	pt	pt	NOUN
ap-7733	493	6	phase	phase	NOUN
ap-7733	493	7	transition	transition	NOUN
ap-7733	493	8	.	.	PUNCT
ap-7733	494	1	nuclear	nuclear	ADJ
ap-7733	494	2	physics	physics	PROPN
ap-7733	494	3	b	b	PROPN
ap-7733	494	4	946:114699	946:114699	NUM
ap-7733	494	5	,	,	PUNCT
ap-7733	494	6	2019	2019	NUM
ap-7733	494	7	.	.	PUNCT
ap-7733	495	1	https://doi.org/10.1016/j.nuclphysb.2019.114699	https://doi.org/10.1016/j.nuclphysb.2019.114699	VERB
ap-7733	495	2	.	.	PUNCT
ap-7733	496	1	[	[	X
ap-7733	496	2	61	61	NUM
ap-7733	496	3	]	]	PUNCT
ap-7733	496	4	a.	a.	NOUN
ap-7733	496	5	dwivedi	dwivedi	PROPN
ap-7733	496	6	,	,	PUNCT
ap-7733	496	7	b.	b.	PROPN
ap-7733	496	8	p.	p.	PROPN
ap-7733	496	9	mandal	mandal	PROPN
ap-7733	496	10	.	.	PUNCT
ap-7733	497	1	higher	high	ADJ
ap-7733	497	2	loop	loop	PROPN
ap-7733	497	3	β	β	PROPN
ap-7733	497	4	function	function	NOUN
ap-7733	497	5	for	for	ADP
ap-7733	497	6	non	non	ADJ
ap-7733	497	7	-	-	ADJ
ap-7733	497	8	hermitian	hermitian	ADJ
ap-7733	497	9	pt	pt	PROPN
ap-7733	497	10	symmetric	symmetric	ADJ
ap-7733	497	11	igϕ3	igϕ3	PROPN
ap-7733	497	12	theory	theory	NOUN
ap-7733	497	13	.	.	PUNCT
ap-7733	498	1	annals	annal	NOUN
ap-7733	498	2	of	of	ADP
ap-7733	498	3	physics	physics	NOUN
ap-7733	498	4	425:168382	425:168382	PROPN
ap-7733	498	5	,	,	PUNCT
ap-7733	498	6	2021	2021	NUM
ap-7733	498	7	.	.	PUNCT
ap-7733	499	1	https://doi.org/10.1016/j.aop.2020.168382	https://doi.org/10.1016/j.aop.2020.168382	PROPN
ap-7733	499	2	.	.	PUNCT
ap-7733	500	1	[	[	X
ap-7733	500	2	62	62	NUM
ap-7733	500	3	]	]	PUNCT
ap-7733	500	4	b.	b.	PROPN
ap-7733	500	5	basu	basu	PROPN
ap-7733	500	6	-	-	PUNCT
ap-7733	500	7	mallick	mallick	PROPN
ap-7733	500	8	,	,	PUNCT
ap-7733	500	9	t.	t.	PROPN
ap-7733	500	10	bhattacharyya	bhattacharyya	PROPN
ap-7733	500	11	,	,	PUNCT
ap-7733	500	12	b.	b.	PROPN
ap-7733	500	13	p.	p.	PROPN
ap-7733	500	14	mandal	mandal	PROPN
ap-7733	500	15	.	.	PUNCT
ap-7733	500	16	phase	phase	NOUN
ap-7733	500	17	shift	shift	NOUN
ap-7733	500	18	analysis	analysis	NOUN
ap-7733	500	19	of	of	ADP
ap-7733	500	20	pt	pt	ADJ
ap-7733	500	21	-	-	ADJ
ap-7733	500	22	symmetric	symmetric	ADJ
ap-7733	500	23	nonhermitian	nonhermitian	ADJ
ap-7733	500	24	extension	extension	NOUN
ap-7733	500	25	of	of	ADP
ap-7733	500	26	an-1	an-1	X
ap-7733	500	27	calogero	calogero	PROPN
ap-7733	500	28	model	model	PROPN
ap-7733	500	29	without	without	ADP
ap-7733	500	30	confining	confine	VERB
ap-7733	500	31	interaction	interaction	NOUN
ap-7733	500	32	.	.	PUNCT
ap-7733	501	1	modern	modern	ADJ
ap-7733	501	2	physics	physics	NOUN
ap-7733	501	3	letters	letter	NOUN
ap-7733	501	4	a	a	DET
ap-7733	501	5	20(7):543–552	20(7):543–552	NOUN
ap-7733	501	6	,	,	PUNCT
ap-7733	501	7	2005	2005	NUM
ap-7733	501	8	.	.	PUNCT
ap-7733	502	1	https://doi.org/10.1142/s0217732305015896	https://doi.org/10.1142/s0217732305015896	NOUN
ap-7733	502	2	.	.	PUNCT
ap-7733	503	1	[	[	X
ap-7733	503	2	63	63	NUM
ap-7733	503	3	]	]	PUNCT
ap-7733	503	4	s.	s.	PROPN
ap-7733	503	5	r.	r.	PROPN
ap-7733	503	6	jain	jain	PROPN
ap-7733	503	7	,	,	PUNCT
ap-7733	503	8	a.	a.	PROPN
ap-7733	503	9	khare	khare	PROPN
ap-7733	503	10	.	.	PUNCT
ap-7733	504	1	an	an	DET
ap-7733	504	2	exactly	exactly	ADV
ap-7733	504	3	solvable	solvable	ADJ
ap-7733	504	4	many	many	ADJ
ap-7733	504	5	-	-	PUNCT
ap-7733	504	6	body	body	NOUN
ap-7733	504	7	problem	problem	NOUN
ap-7733	504	8	in	in	ADP
ap-7733	504	9	one	one	NUM
ap-7733	504	10	dimension	dimension	NOUN
ap-7733	504	11	and	and	CCONJ
ap-7733	504	12	the	the	DET
ap-7733	504	13	short	short	ADJ
ap-7733	504	14	-	-	PUNCT
ap-7733	504	15	range	range	NOUN
ap-7733	504	16	dyson	dyson	NOUN
ap-7733	504	17	model	model	NOUN
ap-7733	504	18	.	.	PUNCT
ap-7733	505	1	physics	physics	NOUN
ap-7733	505	2	letters	letter	NOUN
ap-7733	505	3	a	a	DET
ap-7733	505	4	262(1):35–39	262(1):35–39	NUM
ap-7733	505	5	,	,	PUNCT
ap-7733	505	6	1999	1999	NUM
ap-7733	505	7	.	.	PUNCT
ap-7733	506	1	https://doi.org/10.1016/s0375-9601(99)00637-4	https://doi.org/10.1016/s0375-9601(99)00637-4	NOUN
ap-7733	506	2	.	.	PUNCT
ap-7733	507	1	[	[	X
ap-7733	507	2	64	64	NUM
ap-7733	507	3	]	]	PUNCT
ap-7733	507	4	s.	s.	PROPN
ap-7733	507	5	m.	m.	PROPN
ap-7733	507	6	pittam	pittam	PROPN
ap-7733	507	7	,	,	PUNCT
ap-7733	507	8	m.	m.	NOUN
ap-7733	507	9	beau	beau	PROPN
ap-7733	507	10	,	,	PUNCT
ap-7733	507	11	m.	m.	NOUN
ap-7733	507	12	olshanii	olshanii	NOUN
ap-7733	507	13	,	,	PUNCT
ap-7733	507	14	a.	a.	NOUN
ap-7733	507	15	del	del	PROPN
ap-7733	507	16	campo	campo	PROPN
ap-7733	507	17	.	.	PUNCT
ap-7733	508	1	truncated	truncate	VERB
ap-7733	508	2	calogero	calogero	PROPN
ap-7733	508	3	-	-	PUNCT
ap-7733	508	4	sutherland	sutherland	PROPN
ap-7733	508	5	models	model	NOUN
ap-7733	508	6	.	.	PUNCT
ap-7733	509	1	physical	physical	PROPN
ap-7733	509	2	review	review	PROPN
ap-7733	509	3	b	b	PROPN
ap-7733	509	4	95(20):205135	95(20):205135	PROPN
ap-7733	509	5	,	,	PUNCT
ap-7733	509	6	2017	2017	NUM
ap-7733	509	7	.	.	PUNCT
ap-7733	510	1	https://doi.org/10.1103/physrevb.95.205135	https://doi.org/10.1103/physrevb.95.205135	PROPN
ap-7733	510	2	.	.	PUNCT
ap-7733	511	1	[	[	X
ap-7733	511	2	65	65	NUM
ap-7733	511	3	]	]	X
ap-7733	511	4	f.	f.	PROPN
ap-7733	511	5	calogero	calogero	PROPN
ap-7733	511	6	.	.	PUNCT
ap-7733	512	1	solution	solution	NOUN
ap-7733	512	2	of	of	ADP
ap-7733	512	3	a	a	DET
ap-7733	512	4	three	three	NUM
ap-7733	512	5	-	-	PUNCT
ap-7733	512	6	body	body	NOUN
ap-7733	512	7	problem	problem	NOUN
ap-7733	512	8	in	in	ADP
ap-7733	512	9	one	one	NUM
ap-7733	512	10	dimension	dimension	NOUN
ap-7733	512	11	.	.	PUNCT
ap-7733	513	1	journal	journal	PROPN
ap-7733	513	2	of	of	ADP
ap-7733	513	3	mathematical	mathematical	ADJ
ap-7733	513	4	physics	physics	NOUN
ap-7733	513	5	10(12):2191–2196	10(12):2191–2196	NUM
ap-7733	513	6	,	,	PUNCT
ap-7733	513	7	1969	1969	NUM
ap-7733	513	8	.	.	PUNCT
ap-7733	514	1	https://doi.org/10.1063/1.1664820	https://doi.org/10.1063/1.1664820	INTJ
ap-7733	514	2	.	.	PUNCT
ap-7733	515	1	[	[	X
ap-7733	515	2	66	66	NUM
ap-7733	515	3	]	]	PUNCT
ap-7733	515	4	f.	f.	PROPN
ap-7733	515	5	calogero	calogero	PROPN
ap-7733	515	6	.	.	PUNCT
ap-7733	516	1	ground	ground	NOUN
ap-7733	516	2	state	state	NOUN
ap-7733	516	3	of	of	ADP
ap-7733	516	4	a	a	DET
ap-7733	516	5	one	one	NUM
ap-7733	516	6	dimensional	dimensional	ADJ
ap-7733	516	7	n	n	CCONJ
ap-7733	516	8	-	-	PUNCT
ap-7733	516	9	body	body	NOUN
ap-7733	516	10	system	system	NOUN
ap-7733	516	11	.	.	PUNCT
ap-7733	517	1	journal	journal	PROPN
ap-7733	517	2	of	of	ADP
ap-7733	517	3	mathematical	mathematical	ADJ
ap-7733	517	4	physics	physics	NOUN
ap-7733	517	5	10(12):2197–2200	10(12):2197–2200	NUM
ap-7733	517	6	,	,	PUNCT
ap-7733	517	7	1969	1969	NUM
ap-7733	517	8	.	.	PUNCT
ap-7733	518	1	https://doi.org/10.1063/1.1664821	https://doi.org/10.1063/1.1664821	PROPN
ap-7733	518	2	.	.	PUNCT
ap-7733	519	1	[	[	X
ap-7733	519	2	67	67	NUM
ap-7733	519	3	]	]	X
ap-7733	519	4	b.	b.	PROPN
ap-7733	519	5	sutherland	sutherland	PROPN
ap-7733	519	6	.	.	PUNCT
ap-7733	520	1	quantum	quantum	PROPN
ap-7733	520	2	many	many	ADJ
ap-7733	520	3	-	-	PUNCT
ap-7733	520	4	body	body	NOUN
ap-7733	520	5	problem	problem	NOUN
ap-7733	520	6	in	in	ADP
ap-7733	520	7	one	one	NUM
ap-7733	520	8	dimension	dimension	NOUN
ap-7733	520	9	:	:	PUNCT
ap-7733	520	10	ground	ground	NOUN
ap-7733	520	11	state	state	NOUN
ap-7733	520	12	.	.	PUNCT
ap-7733	521	1	journal	journal	PROPN
ap-7733	521	2	of	of	ADP
ap-7733	521	3	mathematical	mathematical	ADJ
ap-7733	521	4	physics	physics	PROPN
ap-7733	521	5	12(2):246–250	12(2):246–250	PROPN
ap-7733	521	6	,	,	PUNCT
ap-7733	521	7	1971	1971	NUM
ap-7733	521	8	.	.	PUNCT
ap-7733	522	1	https://doi.org/10.1063/1.1665584	https://doi.org/10.1063/1.1665584	PROPN
ap-7733	522	2	.	.	PROPN
ap-7733	522	3	99	99	NUM
ap-7733	523	1	https://doi.org/10.1103/physreva.103.062416	https://doi.org/10.1103/physreva.103.062416	NUM
ap-7733	523	2	https://doi.org/10.1016/j.nuclphysb.2019.114699	https://doi.org/10.1016/j.nuclphysb.2019.114699	PROPN
ap-7733	523	3	https://doi.org/10.1016/j.aop.2020.168382	https://doi.org/10.1016/j.aop.2020.168382	X
ap-7733	523	4	https://doi.org/10.1142/s0217732305015896	https://doi.org/10.1142/s0217732305015896	NUM
ap-7733	523	5	https://doi.org/10.1016/s0375-9601(99)00637-4	https://doi.org/10.1016/s0375-9601(99)00637-4	NOUN
ap-7733	523	6	https://doi.org/10.1103/physrevb.95.205135	https://doi.org/10.1103/physrevb.95.205135	PROPN
ap-7733	523	7	https://doi.org/10.1063/1.1664820	https://doi.org/10.1063/1.1664820	PROPN
ap-7733	523	8	https://doi.org/10.1063/1.1664821	https://doi.org/10.1063/1.1664821	PROPN
ap-7733	523	9	https://doi.org/10.1063/1.1665584	https://doi.org/10.1063/1.1665584	PROPN
ap-7733	523	10	acta	acta	PROPN
ap-7733	523	11	polytechnica	polytechnica	PROPN
ap-7733	523	12	62(1):90–99	62(1):90–99	NUM
ap-7733	523	13	,	,	PUNCT
ap-7733	523	14	2022	2022	NUM
ap-7733	523	15	1	1	NUM
ap-7733	523	16	introduction	introduction	NOUN
ap-7733	523	17	2	2	NUM
ap-7733	523	18	tcs	tcs	NOUN
ap-7733	523	19	model	model	NOUN
ap-7733	523	20	3	3	NUM
ap-7733	523	21	extended	extended	ADJ
ap-7733	523	22	tcs	tcs	NOUN
ap-7733	523	23	model	model	NOUN
ap-7733	523	24	(	(	PUNCT
ap-7733	523	25	etcs	etcs	NOUN
ap-7733	523	26	)	)	PUNCT
ap-7733	523	27	4	4	NUM
ap-7733	523	28	qes	qes	NOUN
ap-7733	523	29	many	many	ADJ
ap-7733	523	30	particle	particle	NOUN
ap-7733	523	31	system	system	NOUN
ap-7733	523	32	5	5	NUM
ap-7733	523	33	conclusions	conclusion	NOUN
ap-7733	523	34	acknowledgements	acknowledgement	NOUN
ap-7733	523	35	references	reference	NOUN