id	sid	tid	token	lemma	pos
ejpam-4860	1	1	european	european	PROPN
ejpam-4860	1	2	journal	journal	PROPN
ejpam-4860	1	3	of	of	ADP
ejpam-4860	1	4	pure	pure	ADJ
ejpam-4860	1	5	and	and	CCONJ
ejpam-4860	1	6	applied	apply	VERB
ejpam-4860	1	7	mathematics	mathematic	NOUN
ejpam-4860	1	8	vol	vol	NOUN
ejpam-4860	1	9	.	.	PUNCT
ejpam-4860	2	1	16	16	NUM
ejpam-4860	2	2	,	,	PUNCT
ejpam-4860	2	3	no	no	INTJ
ejpam-4860	2	4	.	.	NOUN
ejpam-4860	2	5	3	3	NUM
ejpam-4860	2	6	,	,	PUNCT
ejpam-4860	2	7	2023	2023	NUM
ejpam-4860	2	8	,	,	PUNCT
ejpam-4860	2	9	2005	2005	NUM
ejpam-4860	2	10	-	-	SYM
ejpam-4860	2	11	2008	2008	NUM
ejpam-4860	2	12	issn	issn	PROPN
ejpam-4860	2	13	1307	1307	NUM
ejpam-4860	2	14	-	-	SYM
ejpam-4860	2	15	5543	5543	NUM
ejpam-4860	2	16	–	–	PUNCT
ejpam-4860	2	17	ejpam.com	ejpam.com	X
ejpam-4860	2	18	published	publish	VERB
ejpam-4860	2	19	by	by	ADP
ejpam-4860	2	20	new	new	PROPN
ejpam-4860	2	21	york	york	PROPN
ejpam-4860	2	22	business	business	PROPN
ejpam-4860	2	23	global	global	ADJ
ejpam-4860	2	24	real	real	ADJ
ejpam-4860	2	25	spectra	spectra	NOUN
ejpam-4860	2	26	in	in	ADP
ejpam-4860	2	27	logarithmic	logarithmic	ADJ
ejpam-4860	2	28	model	model	NOUN
ejpam-4860	2	29	pt	pt	PROPN
ejpam-4860	2	30	-	-	PUNCT
ejpam-4860	2	31	symmetry	symmetry	NOUN
ejpam-4860	2	32	operators	operator	NOUN
ejpam-4860	2	33	:	:	PUNCT
ejpam-4860	2	34	iso	iso	NOUN
ejpam-4860	2	35	-	-	PUNCT
ejpam-4860	2	36	spectra	spectra	NOUN
ejpam-4860	2	37	in	in	ADP
ejpam-4860	2	38	logarithmic	logarithmic	ADJ
ejpam-4860	2	39	pt	pt	NOUN
ejpam-4860	2	40	-	-	PUNCT
ejpam-4860	2	41	symmetry	symmetry	NOUN
ejpam-4860	2	42	biswanath	biswanath	PROPN
ejpam-4860	2	43	rath1	rath1	PROPN
ejpam-4860	2	44	,	,	PUNCT
ejpam-4860	2	45	rabab	rabab	PROPN
ejpam-4860	2	46	jarrar2	jarrar2	PROPN
ejpam-4860	2	47	,	,	PUNCT
ejpam-4860	2	48	hussein	hussein	PROPN
ejpam-4860	2	49	shanak2	shanak2	PROPN
ejpam-4860	2	50	,	,	PUNCT
ejpam-4860	2	51	rania	rania	PROPN
ejpam-4860	2	52	wannan3	wannan3	PROPN
ejpam-4860	2	53	,	,	PUNCT
ejpam-4860	2	54	jihad	jihad	PROPN
ejpam-4860	2	55	asad2,∗	asad2,∗	PROPN
ejpam-4860	2	56	1	1	NUM
ejpam-4860	2	57	department	department	NOUN
ejpam-4860	2	58	of	of	ADP
ejpam-4860	2	59	physics	physics	PROPN
ejpam-4860	2	60	,	,	PUNCT
ejpam-4860	2	61	maharaja	maharaja	PROPN
ejpam-4860	2	62	sriram	sriram	PROPN
ejpam-4860	2	63	chandra	chandra	PROPN
ejpam-4860	2	64	bhanj	bhanj	PROPN
ejpam-4860	2	65	deo	deo	PROPN
ejpam-4860	2	66	university	university	PROPN
ejpam-4860	2	67	,	,	PUNCT
ejpam-4860	2	68	takatpur	takatpur	NOUN
ejpam-4860	2	69	,	,	PUNCT
ejpam-4860	2	70	baripada	baripada	PROPN
ejpam-4860	2	71	-757003	-757003	PROPN
ejpam-4860	2	72	,	,	PUNCT
ejpam-4860	2	73	odisha	odisha	PROPN
ejpam-4860	2	74	,	,	PUNCT
ejpam-4860	2	75	india	india	PROPN
ejpam-4860	2	76	2of	2of	PROPN
ejpam-4860	2	77	physics	physics	PROPN
ejpam-4860	2	78	,	,	PUNCT
ejpam-4860	2	79	faculty	faculty	NOUN
ejpam-4860	2	80	of	of	ADP
ejpam-4860	2	81	applied	apply	VERB
ejpam-4860	2	82	sciences	science	NOUN
ejpam-4860	2	83	,	,	PUNCT
ejpam-4860	2	84	palestine	palestine	PROPN
ejpam-4860	2	85	technical	technical	PROPN
ejpam-4860	2	86	universitykadoorie	universitykadoorie	PROPN
ejpam-4860	2	87	,	,	PUNCT
ejpam-4860	2	88	tulkarm	tulkarm	NOUN
ejpam-4860	2	89	,	,	PUNCT
ejpam-4860	2	90	p	p	NOUN
ejpam-4860	2	91	305,palestine	305,palestine	NUM
ejpam-4860	2	92	3	3	NUM
ejpam-4860	2	93	department	department	NOUN
ejpam-4860	2	94	of	of	ADP
ejpam-4860	2	95	applied	apply	VERB
ejpam-4860	2	96	mathematics	mathematic	NOUN
ejpam-4860	2	97	,	,	PUNCT
ejpam-4860	2	98	faculty	faculty	NOUN
ejpam-4860	2	99	of	of	ADP
ejpam-4860	2	100	applied	apply	VERB
ejpam-4860	2	101	sciences	science	NOUN
ejpam-4860	2	102	,	,	PUNCT
ejpam-4860	2	103	palestine	palestine	PROPN
ejpam-4860	2	104	technical	technical	PROPN
ejpam-4860	2	105	universitykadoorie	universitykadoorie	PROPN
ejpam-4860	2	106	,	,	PUNCT
ejpam-4860	2	107	tulkarm	tulkarm	NOUN
ejpam-4860	2	108	,	,	PUNCT
ejpam-4860	2	109	p	p	PROPN
ejpam-4860	2	110	305	305	NUM
ejpam-4860	2	111	,	,	PUNCT
ejpam-4860	2	112	palestine	palestine	PROPN
ejpam-4860	2	113	abstract	abstract	NOUN
ejpam-4860	2	114	.	.	PUNCT
ejpam-4860	3	1	we	we	PRON
ejpam-4860	3	2	reflect	reflect	VERB
ejpam-4860	3	3	real	real	ADJ
ejpam-4860	3	4	spectra	spectra	NOUN
ejpam-4860	3	5	of	of	ADP
ejpam-4860	3	6	new	new	ADJ
ejpam-4860	3	7	logarithmic	logarithmic	ADJ
ejpam-4860	3	8	model	model	NOUN
ejpam-4860	3	9	pt	pt	PROPN
ejpam-4860	3	10	-	-	PUNCT
ejpam-4860	3	11	symmetry	symmetry	NOUN
ejpam-4860	3	12	operators	operator	NOUN
ejpam-4860	3	13	with	with	ADP
ejpam-4860	3	14	singular	singular	ADJ
ejpam-4860	3	15	and	and	CCONJ
ejpam-4860	3	16	non	non	ADJ
ejpam-4860	3	17	-	-	ADJ
ejpam-4860	3	18	singular	singular	ADJ
ejpam-4860	3	19	in	in	ADP
ejpam-4860	3	20	nature	nature	NOUN
ejpam-4860	3	21	.	.	PUNCT
ejpam-4860	4	1	we	we	PRON
ejpam-4860	4	2	also	also	ADV
ejpam-4860	4	3	notice	notice	VERB
ejpam-4860	4	4	the	the	DET
ejpam-4860	4	5	iso	iso	NOUN
ejpam-4860	4	6	-	-	PUNCT
ejpam-4860	4	7	spectral	spectral	ADJ
ejpam-4860	4	8	nature	nature	NOUN
ejpam-4860	4	9	between	between	ADP
ejpam-4860	4	10	inverted	inverted	ADJ
ejpam-4860	4	11	and	and	CCONJ
ejpam-4860	4	12	noninverted	noninverte	VERB
ejpam-4860	4	13	pt	pt	NOUN
ejpam-4860	4	14	-	-	PUNCT
ejpam-4860	4	15	symmetry	symmetry	NOUN
ejpam-4860	4	16	potentials	potential	NOUN
ejpam-4860	4	17	.	.	PUNCT
ejpam-4860	5	1	present	present	ADJ
ejpam-4860	5	2	numerical	numerical	ADJ
ejpam-4860	5	3	result	result	NOUN
ejpam-4860	5	4	give	give	VERB
ejpam-4860	5	5	good	good	ADJ
ejpam-4860	5	6	agreement	agreement	NOUN
ejpam-4860	5	7	with	with	ADP
ejpam-4860	5	8	previous	previous	ADJ
ejpam-4860	5	9	results	result	NOUN
ejpam-4860	5	10	.	.	PUNCT
ejpam-4860	6	1	2020	2020	NUM
ejpam-4860	6	2	mathematics	mathematic	NOUN
ejpam-4860	6	3	subject	subject	NOUN
ejpam-4860	6	4	classifications	classification	NOUN
ejpam-4860	6	5	:	:	PUNCT
ejpam-4860	6	6	47b40	47b40	NUM
ejpam-4860	6	7	,	,	PUNCT
ejpam-4860	6	8	81q10	81q10	NUM
ejpam-4860	6	9	,	,	PUNCT
ejpam-4860	6	10	81q60	81q60	X
ejpam-4860	6	11	key	key	ADJ
ejpam-4860	6	12	words	word	NOUN
ejpam-4860	6	13	and	and	CCONJ
ejpam-4860	6	14	phrases	phrase	NOUN
ejpam-4860	6	15	:	:	PUNCT
ejpam-4860	6	16	quantum	quantum	NOUN
ejpam-4860	6	17	mechanics	mechanic	NOUN
ejpam-4860	6	18	,	,	PUNCT
ejpam-4860	6	19	logarithmic	logarithmic	ADJ
ejpam-4860	6	20	potentials	potential	NOUN
ejpam-4860	6	21	,	,	PUNCT
ejpam-4860	6	22	pt	pt	NOUN
ejpam-4860	6	23	-	-	PUNCT
ejpam-4860	6	24	symmetry	symmetry	NOUN
ejpam-4860	6	25	operators	operator	NOUN
ejpam-4860	6	26	1	1	NUM
ejpam-4860	6	27	.	.	PUNCT
ejpam-4860	7	1	introduction	introduction	NOUN
ejpam-4860	7	2	real	real	ADJ
ejpam-4860	7	3	spectra	spectra	NOUN
ejpam-4860	7	4	in	in	ADP
ejpam-4860	7	5	quantum	quantum	ADJ
ejpam-4860	7	6	operators	operator	NOUN
ejpam-4860	7	7	are	be	AUX
ejpam-4860	7	8	confined	confine	VERB
ejpam-4860	7	9	to	to	ADP
ejpam-4860	7	10	hermiticity(h	hermiticity(h	NOUN
ejpam-4860	7	11	=	=	SYM
ejpam-4860	7	12	h†	h†	X
ejpam-4860	7	13	)	)	PUNCT
ejpam-4860	7	14	as	as	ADV
ejpam-4860	7	15	well	well	ADV
ejpam-4860	7	16	as	as	ADP
ejpam-4860	7	17	pt	pt	NOUN
ejpam-4860	7	18	-	-	PUNCT
ejpam-4860	7	19	symmetry	symmetry	NOUN
ejpam-4860	8	1	[	[	X
ejpam-4860	8	2	1]([h	1]([h	NUM
ejpam-4860	8	3	,	,	PUNCT
ejpam-4860	8	4	pt	pt	X
ejpam-4860	8	5	]	]	PUNCT
ejpam-4860	8	6	=	=	SYM
ejpam-4860	8	7	0).here	0).here	NUM
ejpam-4860	8	8	p	p	NOUN
ejpam-4860	8	9	stands	stand	VERB
ejpam-4860	8	10	for	for	ADP
ejpam-4860	8	11	parity	parity	NOUN
ejpam-4860	8	12	operator	operator	NOUN
ejpam-4860	8	13	having	have	VERB
ejpam-4860	8	14	the	the	DET
ejpam-4860	8	15	properties	property	NOUN
ejpam-4860	8	16	:	:	PUNCT
ejpam-4860	8	17	pxp−1	pxp−1	PROPN
ejpam-4860	8	18	=	=	PUNCT
ejpam-4860	8	19	−x	−x	NOUN
ejpam-4860	8	20	;	;	PUNCT
ejpam-4860	8	21	ppp−1	ppp−1	PROPN
ejpam-4860	8	22	=	=	PUNCT
ejpam-4860	8	23	−p	−p	NOUN
ejpam-4860	8	24	.	.	PUNCT
ejpam-4860	9	1	similarly	similarly	ADV
ejpam-4860	9	2	t	t	PROPN
ejpam-4860	9	3	stands	stand	VERB
ejpam-4860	9	4	for	for	ADP
ejpam-4860	9	5	the	the	DET
ejpam-4860	9	6	time	time	NOUN
ejpam-4860	9	7	reversal	reversal	NOUN
ejpam-4860	9	8	operator	operator	NOUN
ejpam-4860	9	9	having	have	VERB
ejpam-4860	9	10	the	the	DET
ejpam-4860	9	11	propertiestxt−1	propertiestxt−1	PROPN
ejpam-4860	9	12	=	=	PUNCT
ejpam-4860	9	13	x;tpt−1	x;tpt−1	PUNCT
ejpam-4860	10	1	=	=	PUNCT
ejpam-4860	10	2	−p	−p	NOUN
ejpam-4860	10	3	and	and	CCONJ
ejpam-4860	10	4	tt−1	tt−1	PROPN
ejpam-4860	10	5	=	=	SYM
ejpam-4860	10	6	−i	−i	PROPN
ejpam-4860	10	7	.	.	PUNCT
ejpam-4860	11	1	in	in	ADP
ejpam-4860	11	2	the	the	DET
ejpam-4860	11	3	hermiticity(more	hermiticity(more	PUNCT
ejpam-4860	11	4	precisely	precisely	ADV
ejpam-4860	11	5	self	self	NOUN
ejpam-4860	11	6	-	-	PUNCT
ejpam-4860	11	7	adjoint	adjoint	NOUN
ejpam-4860	11	8	operator	operator	NOUN
ejpam-4860	11	9	)	)	PUNCT
ejpam-4860	11	10	,	,	PUNCT
ejpam-4860	11	11	it	it	PRON
ejpam-4860	11	12	ia	ia	VERB
ejpam-4860	11	13	possible	possible	ADJ
ejpam-4860	11	14	to	to	PART
ejpam-4860	11	15	find	find	VERB
ejpam-4860	11	16	two	two	NUM
ejpam-4860	11	17	hamiltonians	hamiltonian	NOUN
ejpam-4860	11	18	,	,	PUNCT
ejpam-4860	11	19	which	which	PRON
ejpam-4860	11	20	are	be	AUX
ejpam-4860	11	21	iso	iso	NOUN
ejpam-4860	11	22	-	-	PUNCT
ejpam-4860	11	23	spectral	spectral	ADJ
ejpam-4860	11	24	to	to	ADP
ejpam-4860	11	25	each	each	DET
ejpam-4860	11	26	other[2	other[2	PROPN
ejpam-4860	11	27	]	]	PUNCT
ejpam-4860	11	28	.	.	PUNCT
ejpam-4860	12	1	for	for	ADP
ejpam-4860	12	2	example[2,3	example[2,3	PROPN
ejpam-4860	12	3	]	]	X
ejpam-4860	12	4	h(1	h(1	PROPN
ejpam-4860	12	5	)	)	PUNCT
ejpam-4860	12	6	=	=	NOUN
ejpam-4860	12	7	p2	p2	PROPN
ejpam-4860	12	8	+	+	CCONJ
ejpam-4860	12	9	v0(1−	v0(1−	PROPN
ejpam-4860	12	10	e2|x|/a	e2|x|/a	NOUN
ejpam-4860	12	11	)	)	PUNCT
ejpam-4860	12	12	(	(	PUNCT
ejpam-4860	12	13	1	1	X
ejpam-4860	12	14	)	)	PUNCT
ejpam-4860	12	15	and	and	CCONJ
ejpam-4860	12	16	h(2	h(2	NOUN
ejpam-4860	12	17	)	)	PUNCT
ejpam-4860	13	1	=	=	NOUN
ejpam-4860	13	2	p2	p2	PROPN
ejpam-4860	13	3	+	+	CCONJ
ejpam-4860	13	4	v0(1−	v0(1−	PROPN
ejpam-4860	13	5	e−2|x|/a	e−2|x|/a	NOUN
ejpam-4860	13	6	)	)	PUNCT
ejpam-4860	13	7	(	(	PUNCT
ejpam-4860	13	8	2	2	X
ejpam-4860	13	9	)	)	PUNCT
ejpam-4860	13	10	∗corresponding	∗corresponde	VERB
ejpam-4860	13	11	author	author	NOUN
ejpam-4860	13	12	.	.	PUNCT
ejpam-4860	14	1	doi	doi	NOUN
ejpam-4860	14	2	:	:	PUNCT
ejpam-4860	14	3	https://doi.org/10.29020/nybg.ejpam.v16i3.4860	https://doi.org/10.29020/nybg.ejpam.v16i3.4860	PROPN
ejpam-4860	14	4	email	email	NOUN
ejpam-4860	14	5	addresses	address	VERB
ejpam-4860	14	6	:	:	PUNCT
ejpam-4860	14	7	biswanathrath10@gmail.com	biswanathrath10@gmail.com	PROPN
ejpam-4860	14	8	(	(	PUNCT
ejpam-4860	14	9	b.	b.	PROPN
ejpam-4860	14	10	rath),r.jarrar@ptuk.edu.ps	rath),r.jarrar@ptuk.edu.ps	PROPN
ejpam-4860	14	11	(	(	PUNCT
ejpam-4860	14	12	r.	r.	NOUN
ejpam-4860	14	13	jarrar	jarrar	PROPN
ejpam-4860	14	14	)	)	PUNCT
ejpam-4860	14	15	,	,	PUNCT
ejpam-4860	14	16	h.shanak@ptuk.edu.ps	h.shanak@ptuk.edu.ps	INTJ
ejpam-4860	14	17	(	(	PUNCT
ejpam-4860	14	18	h.	h.	PROPN
ejpam-4860	14	19	shanak	shanak	PROPN
ejpam-4860	14	20	)	)	PUNCT
ejpam-4860	14	21	,	,	PUNCT
ejpam-4860	14	22	r.wannan@ptuk.edu.ps	r.wannan@ptuk.edu.ps	NOUN
ejpam-4860	14	23	(	(	PUNCT
ejpam-4860	14	24	r.	r.	NOUN
ejpam-4860	14	25	wannan	wannan	PROPN
ejpam-4860	14	26	)	)	PUNCT
ejpam-4860	14	27	,	,	PUNCT
ejpam-4860	14	28	j.asad@ptuk.edu.ps	j.asad@ptuk.edu.ps	NOUN
ejpam-4860	14	29	(	(	PUNCT
ejpam-4860	14	30	j.	j.	PROPN
ejpam-4860	14	31	asad	asad	PROPN
ejpam-4860	14	32	)	)	PUNCT
ejpam-4860	14	33	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4860	14	34	2005	2005	NUM
ejpam-4860	15	1	©	©	PROPN
ejpam-4860	15	2	2023	2023	NUM
ejpam-4860	15	3	ejpam	ejpam	NOUN
ejpam-4860	15	4	all	all	DET
ejpam-4860	15	5	rights	right	NOUN
ejpam-4860	15	6	reserved	reserve	VERB
ejpam-4860	15	7	.	.	PUNCT
ejpam-4860	16	1	b.	b.	PROPN
ejpam-4860	16	2	rath	rath	PROPN
ejpam-4860	16	3	et	et	PROPN
ejpam-4860	16	4	al	al	PROPN
ejpam-4860	16	5	.	.	PUNCT
ejpam-4860	16	6	/	/	SYM
ejpam-4860	16	7	eur	eur	PROPN
ejpam-4860	16	8	.	.	PUNCT
ejpam-4860	17	1	j.	j.	PROPN
ejpam-4860	17	2	pure	pure	PROPN
ejpam-4860	17	3	appl	appl	PROPN
ejpam-4860	17	4	.	.	PROPN
ejpam-4860	17	5	math	math	PROPN
ejpam-4860	17	6	,	,	PUNCT
ejpam-4860	17	7	16	16	NUM
ejpam-4860	17	8	(	(	PUNCT
ejpam-4860	17	9	3	3	NUM
ejpam-4860	17	10	)	)	PUNCT
ejpam-4860	17	11	(	(	PUNCT
ejpam-4860	17	12	2023	2023	NUM
ejpam-4860	17	13	)	)	PUNCT
ejpam-4860	17	14	,	,	PUNCT
ejpam-4860	17	15	2005	2005	NUM
ejpam-4860	17	16	-	-	SYM
ejpam-4860	17	17	2008	2008	NUM
ejpam-4860	17	18	2006	2006	NUM
ejpam-4860	17	19	if	if	SCONJ
ejpam-4860	17	20	one	one	PRON
ejpam-4860	17	21	clearly	clearly	ADV
ejpam-4860	17	22	analyzes	analyze	VERB
ejpam-4860	17	23	one	one	PRON
ejpam-4860	17	24	is	be	AUX
ejpam-4860	17	25	scattering	scatter	VERB
ejpam-4860	17	26	in	in	ADP
ejpam-4860	17	27	nature	nature	NOUN
ejpam-4860	17	28	and	and	CCONJ
ejpam-4860	17	29	the	the	DET
ejpam-4860	17	30	other	other	ADJ
ejpam-4860	17	31	is	be	AUX
ejpam-4860	17	32	confining	confine	VERB
ejpam-4860	17	33	nature	nature	NOUN
ejpam-4860	17	34	[	[	X
ejpam-4860	17	35	2,3	2,3	NUM
ejpam-4860	17	36	]	]	PUNCT
ejpam-4860	17	37	.	.	PUNCT
ejpam-4860	18	1	till	till	SCONJ
ejpam-4860	18	2	now	now	ADV
ejpam-4860	18	3	no	no	DET
ejpam-4860	18	4	such	such	ADJ
ejpam-4860	18	5	models	model	NOUN
ejpam-4860	18	6	are	be	AUX
ejpam-4860	18	7	reflected	reflect	VERB
ejpam-4860	18	8	in	in	ADP
ejpam-4860	18	9	nature	nature	NOUN
ejpam-4860	18	10	.	.	PUNCT
ejpam-4860	19	1	in	in	ADP
ejpam-4860	19	2	a	a	DET
ejpam-4860	19	3	recent	recent	ADJ
ejpam-4860	19	4	paper	paper	NOUN
ejpam-4860	19	5	bender	bender	NOUN
ejpam-4860	19	6	etal	etal	NOUN
ejpam-4860	19	7	[	[	X
ejpam-4860	19	8	4	4	X
ejpam-4860	19	9	]	]	PUNCT
ejpam-4860	19	10	have	have	AUX
ejpam-4860	19	11	suggested	suggest	VERB
ejpam-4860	19	12	a	a	DET
ejpam-4860	19	13	new	new	ADJ
ejpam-4860	19	14	class	class	NOUN
ejpam-4860	19	15	of	of	ADP
ejpam-4860	19	16	logarithmic	logarithmic	ADJ
ejpam-4860	19	17	pt	pt	NOUN
ejpam-4860	19	18	-	-	PUNCT
ejpam-4860	19	19	symmetry	symmetry	NOUN
ejpam-4860	19	20	potentials	potential	VERB
ejpam-4860	19	21	as	as	ADP
ejpam-4860	19	22	h1	h1	NOUN
ejpam-4860	19	23	=	=	PUNCT
ejpam-4860	19	24	p2	p2	PROPN
ejpam-4860	19	25	+	+	CCONJ
ejpam-4860	19	26	x4	x4	PROPN
ejpam-4860	19	27	log(ix	log(ix	NUM
ejpam-4860	19	28	)	)	PUNCT
ejpam-4860	19	29	(	(	PUNCT
ejpam-4860	19	30	3	3	X
ejpam-4860	19	31	)	)	PUNCT
ejpam-4860	19	32	h2	h2	NOUN
ejpam-4860	19	33	=	=	SYM
ejpam-4860	19	34	p2	p2	PROPN
ejpam-4860	19	35	−	−	PROPN
ejpam-4860	19	36	x4	x4	PROPN
ejpam-4860	19	37	log(ix	log(ix	PROPN
ejpam-4860	19	38	)	)	PUNCT
ejpam-4860	19	39	(	(	PUNCT
ejpam-4860	19	40	4	4	X
ejpam-4860	19	41	)	)	PUNCT
ejpam-4860	19	42	h3	h3	NOUN
ejpam-4860	19	43	=	=	SYM
ejpam-4860	19	44	p2	p2	PROPN
ejpam-4860	19	45	−	−	PROPN
ejpam-4860	19	46	x4	x4	ADV
ejpam-4860	19	47	log(x2	log(x2	NOUN
ejpam-4860	19	48	)	)	PUNCT
ejpam-4860	19	49	(	(	PUNCT
ejpam-4860	19	50	5	5	NUM
ejpam-4860	19	51	)	)	PUNCT
ejpam-4860	19	52	and	and	CCONJ
ejpam-4860	19	53	reflected	reflect	VERB
ejpam-4860	19	54	energy	energy	NOUN
ejpam-4860	19	55	spectrum	spectrum	NOUN
ejpam-4860	19	56	of	of	ADP
ejpam-4860	19	57	h1	h1	PROPN
ejpam-4860	19	58	only	only	ADV
ejpam-4860	19	59	.	.	PUNCT
ejpam-4860	20	1	further	further	ADJ
ejpam-4860	20	2	authors	author	NOUN
ejpam-4860	20	3	reported	report	VERB
ejpam-4860	20	4	analytical	analytical	ADJ
ejpam-4860	20	5	calculation	calculation	NOUN
ejpam-4860	20	6	of	of	ADP
ejpam-4860	20	7	energy	energy	NOUN
ejpam-4860	20	8	level	level	NOUN
ejpam-4860	20	9	using	use	VERB
ejpam-4860	20	10	wkb	wkb	NOUN
ejpam-4860	20	11	approach[4	approach[4	PROPN
ejpam-4860	20	12	]	]	X
ejpam-4860	20	13	en	en	X
ejpam-4860	21	1	[	[	X
ejpam-4860	21	2	logen)]1/3	logen)]1/3	ADJ
ejpam-4860	21	3	∼	∼	NOUN
ejpam-4860	21	4	[	[	PUNCT
ejpam-4860	21	5	γ(7/4)(n+	γ(7/4)(n+	NOUN
ejpam-4860	21	6	1/2	1/2	NUM
ejpam-4860	21	7	)	)	PUNCT
ejpam-4860	21	8	√	√	PROPN
ejpam-4860	21	9	π	π	PROPN
ejpam-4860	21	10	γ(5/4	γ(5/4	PROPN
ejpam-4860	21	11	)	)	PUNCT
ejpam-4860	21	12	√	√	ADV
ejpam-4860	21	13	2	2	NUM
ejpam-4860	21	14	]	]	PUNCT
ejpam-4860	21	15	4/3	4/3	NUM
ejpam-4860	21	16	(	(	PUNCT
ejpam-4860	21	17	6	6	NUM
ejpam-4860	21	18	)	)	PUNCT
ejpam-4860	21	19	does	do	AUX
ejpam-4860	21	20	not	not	PART
ejpam-4860	21	21	give	give	VERB
ejpam-4860	21	22	encouraging	encouraging	ADJ
ejpam-4860	21	23	results	result	NOUN
ejpam-4860	21	24	when	when	SCONJ
ejpam-4860	21	25	compared	compare	VERB
ejpam-4860	21	26	with	with	ADP
ejpam-4860	21	27	numerical	numerical	ADJ
ejpam-4860	21	28	results	result	NOUN
ejpam-4860	21	29	.	.	PUNCT
ejpam-4860	22	1	this	this	PRON
ejpam-4860	22	2	motivates	motivate	VERB
ejpam-4860	22	3	the	the	DET
ejpam-4860	22	4	present	present	ADJ
ejpam-4860	22	5	author	author	NOUN
ejpam-4860	22	6	to	to	PART
ejpam-4860	22	7	calculate	calculate	VERB
ejpam-4860	22	8	spectra	spectra	NOUN
ejpam-4860	22	9	of	of	ADP
ejpam-4860	22	10	h1,2	h1,2	PROPN
ejpam-4860	22	11	and	and	CCONJ
ejpam-4860	22	12	suggest	suggest	VERB
ejpam-4860	22	13	new	new	ADJ
ejpam-4860	22	14	models	model	NOUN
ejpam-4860	22	15	on	on	ADP
ejpam-4860	22	16	logarithmic	logarithmic	ADJ
ejpam-4860	22	17	potentials	potential	NOUN
ejpam-4860	22	18	.	.	PUNCT
ejpam-4860	23	1	apart	apart	ADV
ejpam-4860	23	2	from	from	ADP
ejpam-4860	23	3	this	this	DET
ejpam-4860	23	4	aim	aim	NOUN
ejpam-4860	23	5	is	be	AUX
ejpam-4860	23	6	to	to	PART
ejpam-4860	23	7	find	find	VERB
ejpam-4860	23	8	out	out	ADP
ejpam-4860	23	9	whether	whether	SCONJ
ejpam-4860	23	10	iso	iso	NOUN
ejpam-4860	23	11	-	-	PUNCT
ejpam-4860	23	12	spectral	spectral	ADJ
ejpam-4860	23	13	hamiltonians	hamiltonian	NOUN
ejpam-4860	23	14	are	be	AUX
ejpam-4860	23	15	possible	possible	ADJ
ejpam-4860	23	16	in	in	ADP
ejpam-4860	23	17	pt	pt	ADJ
ejpam-4860	23	18	-	-	PUNCT
ejpam-4860	23	19	symmetry	symmetry	NOUN
ejpam-4860	23	20	operators	operator	NOUN
ejpam-4860	23	21	.	.	PUNCT
ejpam-4860	24	1	2	2	X
ejpam-4860	24	2	.	.	X
ejpam-4860	24	3	logarithmic	logarithmic	ADJ
ejpam-4860	24	4	new	new	ADJ
ejpam-4860	24	5	models	model	NOUN
ejpam-4860	24	6	here	here	ADV
ejpam-4860	24	7	we	we	PRON
ejpam-4860	24	8	consider	consider	VERB
ejpam-4860	24	9	different	different	ADJ
ejpam-4860	24	10	models	model	NOUN
ejpam-4860	24	11	as	as	SCONJ
ejpam-4860	24	12	follows	follow	VERB
ejpam-4860	24	13	quadratic	quadratic	ADJ
ejpam-4860	24	14	logarithmic	logarithmic	ADJ
ejpam-4860	24	15	model	model	NOUN
ejpam-4860	24	16	v	v	ADP
ejpam-4860	24	17	(	(	PUNCT
ejpam-4860	24	18	x	x	NOUN
ejpam-4860	24	19	)	)	PUNCT
ejpam-4860	24	20	=	=	SYM
ejpam-4860	24	21	−x2	−x2	NOUN
ejpam-4860	24	22	log	log	VERB
ejpam-4860	24	23	(	(	PUNCT
ejpam-4860	24	24	i	i	NOUN
ejpam-4860	24	25	x	x	X
ejpam-4860	24	26	)	)	PUNCT
ejpam-4860	24	27	the	the	DET
ejpam-4860	24	28	hamiltonian	hamiltonian	NOUN
ejpam-4860	24	29	considered	consider	VERB
ejpam-4860	24	30	here	here	ADV
ejpam-4860	24	31	is	be	AUX
ejpam-4860	24	32	hquadratic	hquadratic	ADJ
ejpam-4860	24	33	1	1	NUM
ejpam-4860	24	34	=	=	SYM
ejpam-4860	24	35	p2	p2	PROPN
ejpam-4860	24	36	−	−	PROPN
ejpam-4860	24	37	x2	x2	PROPN
ejpam-4860	24	38	log	log	PROPN
ejpam-4860	24	39	(	(	PUNCT
ejpam-4860	24	40	i	i	NOUN
ejpam-4860	24	41	x	x	PROPN
ejpam-4860	24	42	)	)	PUNCT
ejpam-4860	24	43	(	(	PUNCT
ejpam-4860	24	44	7	7	X
ejpam-4860	24	45	)	)	PUNCT
ejpam-4860	24	46	quartic	quartic	ADJ
ejpam-4860	24	47	inverted	inverted	ADJ
ejpam-4860	24	48	model	model	NOUN
ejpam-4860	24	49	v	v	ADP
ejpam-4860	24	50	(	(	PUNCT
ejpam-4860	24	51	x	x	NOUN
ejpam-4860	24	52	)	)	PUNCT
ejpam-4860	24	53	=	=	SYM
ejpam-4860	24	54	−x4	−x4	NOUN
ejpam-4860	24	55	log	log	NOUN
ejpam-4860	24	56	(	(	PUNCT
ejpam-4860	24	57	i	i	NOUN
ejpam-4860	24	58	x	x	NOUN
ejpam-4860	24	59	)	)	PUNCT
ejpam-4860	24	60	here	here	ADV
ejpam-4860	24	61	we	we	PRON
ejpam-4860	24	62	consider	consider	VERB
ejpam-4860	24	63	the	the	DET
ejpam-4860	24	64	hamiltonian	hamiltonian	ADJ
ejpam-4860	24	65	hquartic	hquartic	ADJ
ejpam-4860	24	66	2	2	NUM
ejpam-4860	24	67	=	=	SYM
ejpam-4860	24	68	p2	p2	PROPN
ejpam-4860	24	69	−	−	PROPN
ejpam-4860	24	70	x4	x4	PROPN
ejpam-4860	24	71	log	log	PROPN
ejpam-4860	24	72	(	(	PUNCT
ejpam-4860	24	73	i	i	NOUN
ejpam-4860	24	74	x	x	PROPN
ejpam-4860	24	75	)	)	PUNCT
ejpam-4860	24	76	(	(	PUNCT
ejpam-4860	24	77	8)	8)	NUM
ejpam-4860	24	78	below	below	ADP
ejpam-4860	24	79	we	we	PRON
ejpam-4860	24	80	present	present	VERB
ejpam-4860	24	81	few	few	ADJ
ejpam-4860	24	82	energy	energy	NOUN
ejpam-4860	24	83	levels	level	NOUN
ejpam-4860	24	84	3	3	NUM
ejpam-4860	24	85	.	.	PUNCT
ejpam-4860	25	1	logarithmic	logarithmic	ADJ
ejpam-4860	25	2	models	model	NOUN
ejpam-4860	25	3	here	here	ADV
ejpam-4860	25	4	we	we	PRON
ejpam-4860	25	5	consider	consider	VERB
ejpam-4860	25	6	the	the	DET
ejpam-4860	25	7	recently	recently	ADV
ejpam-4860	25	8	prposed	prpose	VERB
ejpam-4860	25	9	models	model	NOUN
ejpam-4860	25	10	h1	h1	VERB
ejpam-4860	25	11	=	=	PUNCT
ejpam-4860	25	12	p2	p2	PROPN
ejpam-4860	25	13	+	+	CCONJ
ejpam-4860	25	14	λx4	λx4	VERB
ejpam-4860	25	15	log(ix	log(ix	NUM
ejpam-4860	25	16	)	)	PUNCT
ejpam-4860	25	17	(	(	PUNCT
ejpam-4860	25	18	9	9	X
ejpam-4860	25	19	)	)	PUNCT
ejpam-4860	25	20	h2	h2	NOUN
ejpam-4860	25	21	=	=	PUNCT
ejpam-4860	25	22	p2	p2	PROPN
ejpam-4860	25	23	−	−	PROPN
ejpam-4860	25	24	λx4	λx4	NUM
ejpam-4860	25	25	log(ix	log(ix	NUM
ejpam-4860	25	26	)	)	PUNCT
ejpam-4860	25	27	(	(	PUNCT
ejpam-4860	25	28	10	10	NUM
ejpam-4860	25	29	)	)	PUNCT
ejpam-4860	25	30	h3	h3	NOUN
ejpam-4860	25	31	=	=	SYM
ejpam-4860	25	32	p2	p2	PROPN
ejpam-4860	26	1	−	−	PROPN
ejpam-4860	26	2	λx4	λx4	NUM
ejpam-4860	26	3	log(x2	log(x2	NOUN
ejpam-4860	26	4	)	)	PUNCT
ejpam-4860	26	5	(	(	PUNCT
ejpam-4860	26	6	11	11	NUM
ejpam-4860	26	7	)	)	PUNCT
ejpam-4860	26	8	and	and	CCONJ
ejpam-4860	26	9	present	present	ADJ
ejpam-4860	26	10	complete	complete	ADJ
ejpam-4860	26	11	spectra	spectra	NOUN
ejpam-4860	26	12	in	in	ADP
ejpam-4860	26	13	table-2	table-2	NUM
ejpam-4860	26	14	for	for	ADP
ejpam-4860	26	15	λ	λ	NOUN
ejpam-4860	26	16	=	=	SYM
ejpam-4860	26	17	1	1	X
ejpam-4860	26	18	.	.	PUNCT
ejpam-4860	27	1	b.	b.	PROPN
ejpam-4860	27	2	rath	rath	PROPN
ejpam-4860	27	3	et	et	PROPN
ejpam-4860	27	4	al	al	PROPN
ejpam-4860	27	5	.	.	PUNCT
ejpam-4860	27	6	/	/	SYM
ejpam-4860	27	7	eur	eur	PROPN
ejpam-4860	27	8	.	.	PUNCT
ejpam-4860	28	1	j.	j.	PROPN
ejpam-4860	28	2	pure	pure	PROPN
ejpam-4860	28	3	appl	appl	PROPN
ejpam-4860	28	4	.	.	PROPN
ejpam-4860	28	5	math	math	PROPN
ejpam-4860	28	6	,	,	PUNCT
ejpam-4860	28	7	16	16	NUM
ejpam-4860	28	8	(	(	PUNCT
ejpam-4860	28	9	3	3	NUM
ejpam-4860	28	10	)	)	PUNCT
ejpam-4860	28	11	(	(	PUNCT
ejpam-4860	28	12	2023	2023	NUM
ejpam-4860	28	13	)	)	PUNCT
ejpam-4860	28	14	,	,	PUNCT
ejpam-4860	28	15	2005	2005	NUM
ejpam-4860	28	16	-	-	SYM
ejpam-4860	28	17	2008	2008	NUM
ejpam-4860	28	18	2007	2007	NUM
ejpam-4860	28	19	table.i	table.i	PROPN
ejpam-4860	28	20	:	:	PUNCT
ejpam-4860	28	21	pt	pt	NOUN
ejpam-4860	28	22	-	-	PUNCT
ejpam-4860	28	23	symmetry	symmetry	NOUN
ejpam-4860	28	24	inverted	invert	VERB
ejpam-4860	28	25	logarithmic	logarithmic	ADJ
ejpam-4860	28	26	model	model	NOUN
ejpam-4860	28	27	potentials	potential	VERB
ejpam-4860	28	28	n	n	PRON
ejpam-4860	28	29	h1	h1	VERB
ejpam-4860	28	30	present	present	ADJ
ejpam-4860	28	31	h2	h2	PROPN
ejpam-4860	28	32	0	0	NUM
ejpam-4860	28	33	1.326	1.326	NUM
ejpam-4860	28	34	591	591	NUM
ejpam-4860	28	35	6	6	NUM
ejpam-4860	28	36	1.249	1.249	NUM
ejpam-4860	28	37	087	087	NUM
ejpam-4860	28	38	3	3	NUM
ejpam-4860	28	39	3	3	NUM
ejpam-4860	28	40	9.173	9.173	NUM
ejpam-4860	28	41	294	294	NUM
ejpam-4860	28	42	3	3	NUM
ejpam-4860	28	43	13.738	13.738	NUM
ejpam-4860	28	44	280	280	NUM
ejpam-4860	28	45	4	4	NUM
ejpam-4860	28	46	6	6	NUM
ejpam-4860	28	47	17.734	17.734	NUM
ejpam-4860	28	48	002	002	NUM
ejpam-4860	28	49	2	2	NUM
ejpam-4860	28	50	31.665	31.665	NUM
ejpam-4860	28	51	810	810	NUM
ejpam-4860	28	52	8	8	NUM
ejpam-4860	28	53	9	9	NUM
ejpam-4860	28	54	26.633	26.633	NUM
ejpam-4860	28	55	530	530	NUM
ejpam-4860	28	56	1	1	NUM
ejpam-4860	28	57	52.993	52.993	NUM
ejpam-4860	28	58	926	926	NUM
ejpam-4860	28	59	2	2	NUM
ejpam-4860	28	60	12	12	NUM
ejpam-4860	28	61	76.113	76.113	NUM
ejpam-4860	28	62	329	329	NUM
ejpam-4860	28	63	2	2	NUM
ejpam-4860	28	64	76.974	76.974	NUM
ejpam-4860	28	65	762	762	NUM
ejpam-4860	28	66	5	5	NUM
ejpam-4860	28	67	4	4	NUM
ejpam-4860	28	68	.	.	PUNCT
ejpam-4860	29	1	method	method	NOUN
ejpam-4860	29	2	of	of	ADP
ejpam-4860	29	3	calculation	calculation	NOUN
ejpam-4860	29	4	here	here	ADV
ejpam-4860	29	5	we	we	PRON
ejpam-4860	29	6	use	use	VERB
ejpam-4860	29	7	matrix	matrix	NOUN
ejpam-4860	29	8	diagonalisation	diagonalisation	NOUN
ejpam-4860	29	9	method	method	NOUN
ejpam-4860	30	1	[	[	X
ejpam-4860	30	2	5	5	NUM
ejpam-4860	30	3	]	]	PUNCT
ejpam-4860	30	4	to	to	PART
ejpam-4860	30	5	solve	solve	VERB
ejpam-4860	30	6	the	the	DET
ejpam-4860	30	7	eigenvalue	eigenvalue	PROPN
ejpam-4860	30	8	relation	relation	NOUN
ejpam-4860	30	9	h|ψ	h|ψ	X
ejpam-4860	30	10	>	>	X
ejpam-4860	30	11	=	=	PUNCT
ejpam-4860	30	12	e|ψ	e|ψ	X
ejpam-4860	30	13	>	>	X
ejpam-4860	30	14	(	(	PUNCT
ejpam-4860	30	15	12	12	NUM
ejpam-4860	30	16	)	)	PUNCT
ejpam-4860	30	17	where	where	SCONJ
ejpam-4860	30	18	|ψ	|ψ	ADP
ejpam-4860	30	19	>	>	X
ejpam-4860	30	20	=	=	PUNCT
ejpam-4860	30	21	∑	∑	PUNCT
ejpam-4860	30	22	am|m	am|m	PROPN
ejpam-4860	30	23	>	>	X
ejpam-4860	30	24	(	(	PUNCT
ejpam-4860	30	25	13	13	NUM
ejpam-4860	30	26	)	)	PUNCT
ejpam-4860	30	27	here	here	ADV
ejpam-4860	30	28	|m	|m	NOUN
ejpam-4860	30	29	>	>	X
ejpam-4860	30	30	satisfy	satisfy	VERB
ejpam-4860	30	31	the	the	DET
ejpam-4860	30	32	relation	relation	NOUN
ejpam-4860	30	33	[	[	X
ejpam-4860	30	34	p2	p2	X
ejpam-4860	30	35	+	+	X
ejpam-4860	30	36	x2]|m	x2]|m	PROPN
ejpam-4860	30	37	>	>	X
ejpam-4860	31	1	=	=	PUNCT
ejpam-4860	31	2	(	(	PUNCT
ejpam-4860	31	3	2m+	2m+	NUM
ejpam-4860	31	4	1)|m	1)|m	NUM
ejpam-4860	31	5	>	>	X
ejpam-4860	31	6	(	(	PUNCT
ejpam-4860	31	7	14	14	NUM
ejpam-4860	31	8	)	)	PUNCT
ejpam-4860	31	9	numerical	numerical	ADJ
ejpam-4860	31	10	results	result	NOUN
ejpam-4860	31	11	obtained	obtain	VERB
ejpam-4860	31	12	using	use	VERB
ejpam-4860	31	13	mdm	mdm	PROPN
ejpam-4860	31	14	are	be	AUX
ejpam-4860	31	15	tabulated	tabulate	VERB
ejpam-4860	31	16	in	in	ADP
ejpam-4860	31	17	table.1	table.1	PROPN
ejpam-4860	31	18	.	.	PROPN
ejpam-4860	32	1	5	5	NUM
ejpam-4860	32	2	.	.	X
ejpam-4860	32	3	conclusion	conclusion	NOUN
ejpam-4860	32	4	in	in	ADP
ejpam-4860	32	5	this	this	DET
ejpam-4860	32	6	report	report	NOUN
ejpam-4860	32	7	,	,	PUNCT
ejpam-4860	32	8	we	we	PRON
ejpam-4860	32	9	present	present	VERB
ejpam-4860	32	10	numerical	numerical	ADJ
ejpam-4860	32	11	convergent	convergent	PROPN
ejpam-4860	32	12	energy	energy	NOUN
ejpam-4860	32	13	levels	level	NOUN
ejpam-4860	32	14	of	of	ADP
ejpam-4860	32	15	new	new	ADJ
ejpam-4860	32	16	model	model	NOUN
ejpam-4860	32	17	pt	pt	NOUN
ejpam-4860	32	18	-	-	PUNCT
ejpam-4860	32	19	invariant	invariant	ADJ
ejpam-4860	32	20	hamltonians	hamltonian	NOUN
ejpam-4860	32	21	using	use	VERB
ejpam-4860	32	22	matrix	matrix	NOUN
ejpam-4860	32	23	diagonalisation	diagonalisation	NOUN
ejpam-4860	32	24	method[5	method[5	NOUN
ejpam-4860	32	25	]	]	PUNCT
ejpam-4860	32	26	.	.	PUNCT
ejpam-4860	33	1	further	far	ADV
ejpam-4860	33	2	we	we	PRON
ejpam-4860	33	3	feel	feel	VERB
ejpam-4860	33	4	the	the	DET
ejpam-4860	33	5	present	present	ADJ
ejpam-4860	33	6	method	method	NOUN
ejpam-4860	33	7	can	can	AUX
ejpam-4860	33	8	be	be	AUX
ejpam-4860	33	9	used	use	VERB
ejpam-4860	33	10	confidently	confidently	ADV
ejpam-4860	33	11	to	to	PART
ejpam-4860	33	12	realize	realize	VERB
ejpam-4860	33	13	real	real	ADJ
ejpam-4860	33	14	spectra	spectra	ADJ
ejpam-4860	33	15	study	study	NOUN
ejpam-4860	33	16	in	in	ADP
ejpam-4860	33	17	similar	similar	ADJ
ejpam-4860	33	18	hamiltonians	hamiltonian	NOUN
ejpam-4860	33	19	of	of	ADP
ejpam-4860	33	20	interest	interest	NOUN
ejpam-4860	33	21	.	.	PUNCT
ejpam-4860	34	1	lastly	lastly	ADV
ejpam-4860	34	2	we	we	PRON
ejpam-4860	34	3	the	the	DET
ejpam-4860	34	4	spectra	spectra	NOUN
ejpam-4860	34	5	of	of	ADP
ejpam-4860	34	6	h2	h2	PROPN
ejpam-4860	34	7	and	and	CCONJ
ejpam-4860	34	8	h1	h1	NOUN
ejpam-4860	34	9	are	be	AUX
ejpam-4860	34	10	the	the	DET
ejpam-4860	34	11	same	same	ADJ
ejpam-4860	34	12	.	.	PUNCT
ejpam-4860	35	1	in	in	ADP
ejpam-4860	35	2	brief	brief	ADJ
ejpam-4860	35	3	v	v	X
ejpam-4860	35	4	(	(	PUNCT
ejpam-4860	35	5	x	x	NOUN
ejpam-4860	35	6	)	)	PUNCT
ejpam-4860	35	7	=	=	SYM
ejpam-4860	35	8	x4	x4	PROPN
ejpam-4860	35	9	log(ix	log(ix	NUM
ejpam-4860	35	10	)	)	PUNCT
ejpam-4860	35	11	→	→	SYM
ejpam-4860	35	12	v	v	X
ejpam-4860	35	13	(	(	PUNCT
ejpam-4860	35	14	x	x	NOUN
ejpam-4860	35	15	)	)	PUNCT
ejpam-4860	35	16	=	=	SYM
ejpam-4860	35	17	−x4	−x4	NOUN
ejpam-4860	35	18	log	log	NOUN
ejpam-4860	35	19	(	(	PUNCT
ejpam-4860	35	20	i	i	NOUN
ejpam-4860	35	21	x	x	PROPN
ejpam-4860	35	22	)	)	PUNCT
ejpam-4860	35	23	(	(	PUNCT
ejpam-4860	35	24	15	15	NUM
ejpam-4860	35	25	)	)	PUNCT
ejpam-4860	35	26	hence	hence	ADV
ejpam-4860	35	27	these	these	DET
ejpam-4860	35	28	two	two	NUM
ejpam-4860	35	29	potentials	potential	NOUN
ejpam-4860	35	30	can	can	AUX
ejpam-4860	35	31	be	be	AUX
ejpam-4860	35	32	considered	consider	VERB
ejpam-4860	35	33	as	as	ADP
ejpam-4860	35	34	iso	iso	NOUN
ejpam-4860	35	35	-	-	PUNCT
ejpam-4860	35	36	spectral	spectral	ADJ
ejpam-4860	35	37	models	model	NOUN
ejpam-4860	35	38	in	in	ADP
ejpam-4860	35	39	pt	pt	NOUN
ejpam-4860	35	40	-	-	PUNCT
ejpam-4860	35	41	symmetry	symmetry	NOUN
ejpam-4860	35	42	.	.	PUNCT
ejpam-4860	36	1	lastly	lastly	ADV
ejpam-4860	36	2	we	we	PRON
ejpam-4860	36	3	do	do	AUX
ejpam-4860	36	4	not	not	PART
ejpam-4860	36	5	find	find	VERB
ejpam-4860	36	6	any	any	DET
ejpam-4860	36	7	numerical	numerical	ADJ
ejpam-4860	36	8	results	result	NOUN
ejpam-4860	36	9	to	to	PART
ejpam-4860	36	10	present	present	VERB
ejpam-4860	36	11	in	in	ADP
ejpam-4860	36	12	table-1	table-1	NUM
ejpam-4860	36	13	for	for	ADP
ejpam-4860	36	14	a	a	DET
ejpam-4860	36	15	comparison	comparison	NOUN
ejpam-4860	36	16	with	with	ADP
ejpam-4860	36	17	the	the	DET
ejpam-4860	36	18	present	present	ADJ
ejpam-4860	36	19	numericals	numerical	NOUN
ejpam-4860	36	20	.	.	PUNCT
ejpam-4860	37	1	interested	interested	ADJ
ejpam-4860	37	2	readers	reader	NOUN
ejpam-4860	37	3	can	can	AUX
ejpam-4860	37	4	consider	consider	VERB
ejpam-4860	37	5	other	other	ADJ
ejpam-4860	37	6	values	value	NOUN
ejpam-4860	37	7	of	of	ADP
ejpam-4860	37	8	λ	λ	PROPN
ejpam-4860	37	9	.	.	PUNCT
ejpam-4860	37	10	acknowledgements	acknowledgement	NOUN
ejpam-4860	37	11	the	the	DET
ejpam-4860	37	12	authors	author	NOUN
ejpam-4860	37	13	r.	r.	PROPN
ejpam-4860	37	14	jarrar	jarrar	PROPN
ejpam-4860	37	15	,	,	PUNCT
ejpam-4860	37	16	h.	h.	PROPN
ejpam-4860	37	17	shanak	shanak	PROPN
ejpam-4860	37	18	,	,	PUNCT
ejpam-4860	37	19	r.	r.	PROPN
ejpam-4860	37	20	wannan	wannan	PROPN
ejpam-4860	37	21	and	and	CCONJ
ejpam-4860	37	22	j.	j.	PROPN
ejpam-4860	37	23	asad	asad	PROPN
ejpam-4860	37	24	would	would	AUX
ejpam-4860	37	25	like	like	VERB
ejpam-4860	37	26	to	to	PART
ejpam-4860	37	27	thank	thank	VERB
ejpam-4860	37	28	palestine	palestine	PROPN
ejpam-4860	37	29	technical	technical	PROPN
ejpam-4860	37	30	universitykadoorie	universitykadoorie	PROPN
ejpam-4860	37	31	for	for	ADP
ejpam-4860	37	32	supporting	support	VERB
ejpam-4860	37	33	them	they	PRON
ejpam-4860	37	34	financially	financially	ADV
ejpam-4860	37	35	.	.	PUNCT
ejpam-4860	38	1	references	reference	NOUN
ejpam-4860	38	2	2008	2008	NUM
ejpam-4860	38	3	table.2	table.2	PROPN
ejpam-4860	38	4	:	:	PUNCT
ejpam-4860	38	5	pt	pt	ADJ
ejpam-4860	38	6	-	-	PUNCT
ejpam-4860	38	7	symmetry	symmetry	NOUN
ejpam-4860	38	8	logarithmic	logarithmic	ADJ
ejpam-4860	38	9	model	model	NOUN
ejpam-4860	38	10	n	n	PROPN
ejpam-4860	38	11	h1	h1	AUX
ejpam-4860	38	12	present	present	ADJ
ejpam-4860	38	13	h1previous	h1previous	ADJ
ejpam-4860	38	14	[	[	X
ejpam-4860	38	15	4	4	NUM
ejpam-4860	38	16	]	]	X
ejpam-4860	38	17	previous	previous	ADJ
ejpam-4860	38	18	(	(	PUNCT
ejpam-4860	38	19	wkb)[4	wkb)[4	X
ejpam-4860	38	20	]	]	X
ejpam-4860	38	21	0	0	NUM
ejpam-4860	39	1	1.249	1.249	NUM
ejpam-4860	39	2	08	08	NUM
ejpam-4860	39	3	1.249	1.249	NUM
ejpam-4860	39	4	09	09	NUM
ejpam-4860	39	5	0.546	0.546	NUM
ejpam-4860	39	6	27	27	NUM
ejpam-4860	39	7	3	3	NUM
ejpam-4860	39	8	13.738	13.738	NUM
ejpam-4860	39	9	27	27	NUM
ejpam-4860	39	10	13.738	13.738	NUM
ejpam-4860	39	11	3	3	NUM
ejpam-4860	39	12	7.314	7.314	NUM
ejpam-4860	39	13	80	80	NUM
ejpam-4860	39	14	6	6	NUM
ejpam-4860	39	15	31.665	31.665	NUM
ejpam-4860	39	16	82	82	NUM
ejpam-4860	39	17	31.665	31.665	NUM
ejpam-4860	39	18	8	8	NUM
ejpam-4860	39	19	16.697	16.697	NUM
ejpam-4860	39	20	9	9	NUM
ejpam-4860	39	21	9	9	NUM
ejpam-4860	39	22	52.993	52.993	NUM
ejpam-4860	39	23	79	79	NUM
ejpam-4860	39	24	52.993	52.993	NUM
ejpam-4860	39	25	9	9	NUM
ejpam-4860	39	26	27.695	27.695	NUM
ejpam-4860	39	27	6	6	NUM
ejpam-4860	39	28	12	12	NUM
ejpam-4860	39	29	76.976	76.976	NUM
ejpam-4860	39	30	08	08	NUM
ejpam-4860	39	31	76.974	76.974	NUM
ejpam-4860	39	32	8	8	NUM
ejpam-4860	39	33	39.932	39.932	NUM
ejpam-4860	39	34	4	4	NUM
ejpam-4860	39	35	n	n	DET
ejpam-4860	39	36	h2	h2	NOUN
ejpam-4860	39	37	present	present	NOUN
ejpam-4860	39	38	previous[4	previous[4	PROPN
ejpam-4860	39	39	]	]	X
ejpam-4860	39	40	previous(wkb)[4	previous(wkb)[4	AUX
ejpam-4860	39	41	]	]	X
ejpam-4860	39	42	0	0	NUM
ejpam-4860	39	43	0.109	0.109	NUM
ejpam-4860	39	44	1	1	NUM
ejpam-4860	39	45	1	1	NUM
ejpam-4860	39	46	6,959	6,959	NUM
ejpam-4860	39	47	6	6	NUM
ejpam-4860	39	48	2	2	NUM
ejpam-4860	39	49	8.257	8.257	NUM
ejpam-4860	39	50	1	1	NUM
ejpam-4860	39	51	3	3	NUM
ejpam-4860	39	52	18.039	18.039	NUM
ejpam-4860	39	53	4	4	NUM
ejpam-4860	39	54	n	n	NOUN
ejpam-4860	39	55	h3	h3	NOUN
ejpam-4860	39	56	present	present	ADJ
ejpam-4860	39	57	previous[4	previous[4	PROPN
ejpam-4860	39	58	]	]	X
ejpam-4860	39	59	previous(wkb)[4	previous(wkb)[4	AUX
ejpam-4860	39	60	]	]	X
ejpam-4860	39	61	0	0	NUM
ejpam-4860	39	62	0.025	0.025	NUM
ejpam-4860	39	63	4	4	NUM
ejpam-4860	39	64	1	1	NUM
ejpam-4860	39	65	4.977	4.977	NUM
ejpam-4860	39	66	7	7	NUM
ejpam-4860	39	67	2	2	NUM
ejpam-4860	39	68	9.237	9.237	NUM
ejpam-4860	39	69	1	1	NUM
ejpam-4860	39	70	3	3	NUM
ejpam-4860	39	71	16.478	16.478	NUM
ejpam-4860	39	72	6	6	NUM
ejpam-4860	39	73	references	reference	NOUN
ejpam-4860	39	74	[	[	X
ejpam-4860	39	75	1	1	NUM
ejpam-4860	39	76	]	]	PUNCT
ejpam-4860	39	77	c.bender	c.bender	NOUN
ejpam-4860	39	78	and	and	CCONJ
ejpam-4860	39	79	s.boettcher	s.boettcher	ADV
ejpam-4860	39	80	real	real	ADJ
ejpam-4860	39	81	spectra	spectra	NOUN
ejpam-4860	39	82	in	in	ADP
ejpam-4860	39	83	non	non	ADJ
ejpam-4860	39	84	-	-	ADJ
ejpam-4860	39	85	hermitian	hermitian	ADJ
ejpam-4860	39	86	hamiltonian	hamiltonian	NOUN
ejpam-4860	39	87	having	have	VERB
ejpam-4860	39	88	ptsymmetry	ptsymmetry	NOUN
ejpam-4860	39	89	,	,	PUNCT
ejpam-4860	39	90	phys.rev.lett,(1997),80,5243	phys.rev.lett,(1997),80,5243	PROPN
ejpam-4860	39	91	-	-	PUNCT
ejpam-4860	39	92	5246	5246	NUM
ejpam-4860	39	93	.	.	PUNCT
ejpam-4860	40	1	[	[	X
ejpam-4860	40	2	2	2	NUM
ejpam-4860	40	3	]	]	PUNCT
ejpam-4860	40	4	h.f.jones	h.f.jone	NOUN
ejpam-4860	40	5	,	,	PUNCT
ejpam-4860	40	6	comment	comment	NOUN
ejpam-4860	40	7	on	on	ADP
ejpam-4860	40	8	:	:	PUNCT
ejpam-4860	40	9	solvable	solvable	ADJ
ejpam-4860	40	10	model	model	NOUN
ejpam-4860	40	11	bound	bind	VERB
ejpam-4860	40	12	states	state	NOUN
ejpam-4860	40	13	in	in	ADP
ejpam-4860	40	14	the	the	DET
ejpam-4860	40	15	continuum	continuum	NOUN
ejpam-4860	40	16	(	(	PUNCT
ejpam-4860	40	17	bic)in	bic)in	PROPN
ejpam-4860	40	18	one	one	NUM
ejpam-4860	40	19	dimension(2019	dimension(2019	VERB
ejpam-4860	40	20	,	,	PUNCT
ejpam-4860	40	21	94	94	NUM
ejpam-4860	40	22	,	,	PUNCT
ejpam-4860	40	23	105214),phys.scr,(2021),96,087001.(see	105214),phys.scr,(2021),96,087001.(see	NUM
ejpam-4860	40	24	ref-2	ref-2	NOUN
ejpam-4860	40	25	)	)	PUNCT
ejpam-4860	41	1	[	[	X
ejpam-4860	41	2	3	3	X
ejpam-4860	41	3	]	]	PUNCT
ejpam-4860	41	4	z.ahmed	z.ahmed	PROPN
ejpam-4860	41	5	and	and	CCONJ
ejpam-4860	41	6	h.f.jones	h.f.jone	NOUN
ejpam-4860	41	7	,	,	PUNCT
ejpam-4860	41	8	scattering	scatter	VERB
ejpam-4860	41	9	states	state	NOUN
ejpam-4860	41	10	and	and	CCONJ
ejpam-4860	41	11	bound	bind	VERB
ejpam-4860	41	12	states	state	NOUN
ejpam-4860	41	13	of	of	ADP
ejpam-4860	41	14	exponential	exponential	ADJ
ejpam-4860	41	15	potentials	potential	NOUN
ejpam-4860	41	16	,	,	PUNCT
ejpam-4860	41	17	arxiv:2102:06095v1(see	arxiv:2102:06095v1(see	PROPN
ejpam-4860	41	18	ref-3	ref-3	NUM
ejpam-4860	41	19	)	)	PUNCT
ejpam-4860	41	20	.	.	PUNCT
ejpam-4860	42	1	[	[	X
ejpam-4860	42	2	4	4	X
ejpam-4860	42	3	]	]	SYM
ejpam-4860	42	4	c.bender	c.bender	NOUN
ejpam-4860	42	5	,	,	PUNCT
ejpam-4860	42	6	a.felski	a.felski	ADJ
ejpam-4860	42	7	,	,	PUNCT
ejpam-4860	42	8	s.p.klevansky	s.p.klevansky	ADJ
ejpam-4860	42	9	and	and	CCONJ
ejpam-4860	42	10	s.sarkar	s.sarkar	NOUN
ejpam-4860	42	11	,	,	PUNCT
ejpam-4860	42	12	pt	pt	NOUN
ejpam-4860	42	13	-	-	PUNCT
ejpam-4860	42	14	symmetry	symmetry	NOUN
ejpam-4860	42	15	and	and	CCONJ
ejpam-4860	42	16	renormalisation	renormalisation	NOUN
ejpam-4860	42	17	in	in	ADP
ejpam-4860	42	18	quantum	quantum	ADJ
ejpam-4860	42	19	field	field	NOUN
ejpam-4860	42	20	theory	theory	NOUN
ejpam-4860	42	21	,	,	PUNCT
ejpam-4860	42	22	arxiv:2103.14864v1	arxiv:2103.14864v1	X
ejpam-4860	42	23	.	.	PUNCT
ejpam-4860	43	1	[	[	X
ejpam-4860	43	2	5	5	NUM
ejpam-4860	43	3	]	]	PUNCT
ejpam-4860	43	4	b.rath	b.rath	NOUN
ejpam-4860	43	5	,	,	PUNCT
ejpam-4860	43	6	real	real	ADJ
ejpam-4860	43	7	spectra	spectra	NOUN
ejpam-4860	43	8	in	in	ADP
ejpam-4860	43	9	some	some	DET
ejpam-4860	43	10	negative	negative	ADJ
ejpam-4860	43	11	potentials	potential	NOUN
ejpam-4860	43	12	:	:	PUNCT
ejpam-4860	43	13	linear	linear	ADJ
ejpam-4860	43	14	and	and	CCONJ
ejpam-4860	43	15	nonlinear	nonlinear	VERB
ejpam-4860	43	16	one	one	NUM
ejpam-4860	43	17	dimensional	dimensional	ADJ
ejpam-4860	43	18	pt	pt	ADJ
ejpam-4860	43	19	-	-	PUNCT
ejpam-4860	43	20	invariant	invariant	ADJ
ejpam-4860	43	21	quantum	quantum	NOUN
ejpam-4860	43	22	systems	system	NOUN
ejpam-4860	43	23	,	,	PUNCT
ejpam-4860	43	24	eur.phys.journal.plus.(2021	eur.phys.journal.plus.(2021	PROPN
ejpam-4860	43	25	)	)	PUNCT
ejpam-4860	43	26	,	,	PUNCT
ejpam-4860	43	27	136,493	136,493	NUM
ejpam-4860	43	28	.	.	PUNCT