id	sid	tid	token	lemma	pos
ap-1852	1	1	acta	acta	PROPN
ap-1852	1	2	polytechnica	polytechnica	PROPN
ap-1852	1	3	doi:10.14311	doi:10.14311	PROPN
ap-1852	1	4	/	/	SYM
ap-1852	1	5	ap.2013.53.0427	ap.2013.53.0427	NOUN
ap-1852	1	6	acta	acta	PROPN
ap-1852	1	7	polytechnica	polytechnica	PROPN
ap-1852	1	8	53(5):427–432	53(5):427–432	PROPN
ap-1852	1	9	,	,	PUNCT
ap-1852	1	10	2013	2013	NUM
ap-1852	1	11	©	©	PROPN
ap-1852	1	12	czech	czech	PROPN
ap-1852	1	13	technical	technical	PROPN
ap-1852	1	14	university	university	PROPN
ap-1852	1	15	in	in	ADP
ap-1852	1	16	prague	prague	PROPN
ap-1852	1	17	,	,	PUNCT
ap-1852	1	18	2013	2013	NUM
ap-1852	1	19	available	available	ADJ
ap-1852	1	20	online	online	ADV
ap-1852	1	21	at	at	ADP
ap-1852	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-1852	1	23	coulomb	coulomb	NOUN
ap-1852	1	24	scattering	scattering	NOUN
ap-1852	1	25	in	in	ADP
ap-1852	1	26	non	non	ADJ
ap-1852	1	27	-	-	ADJ
ap-1852	1	28	commutative	commutative	ADJ
ap-1852	1	29	quantum	quantum	ADJ
ap-1852	1	30	mechanics	mechanic	NOUN
ap-1852	1	31	veronika	veronika	PROPN
ap-1852	1	32	gáliková	gáliková	PROPN
ap-1852	1	33	,	,	PUNCT
ap-1852	1	34	peter	peter	PROPN
ap-1852	1	35	prešnajder∗	prešnajder∗	VERB
ap-1852	1	36	faculty	faculty	NOUN
ap-1852	1	37	of	of	ADP
ap-1852	1	38	mathematics	mathematic	NOUN
ap-1852	1	39	,	,	PUNCT
ap-1852	1	40	physics	physics	NOUN
ap-1852	1	41	and	and	CCONJ
ap-1852	1	42	informatics	informatics	PROPN
ap-1852	1	43	,	,	PUNCT
ap-1852	1	44	comenius	comenius	NOUN
ap-1852	1	45	university	university	PROPN
ap-1852	1	46	of	of	ADP
ap-1852	1	47	bratislava	bratislava	PROPN
ap-1852	1	48	,	,	PUNCT
ap-1852	1	49	mlynská	mlynská	PROPN
ap-1852	1	50	dolina	dolina	PROPN
ap-1852	1	51	f2	f2	PROPN
ap-1852	1	52	,	,	PUNCT
ap-1852	1	53	bratislava	bratislava	PROPN
ap-1852	1	54	,	,	PUNCT
ap-1852	1	55	slovakia	slovakia	PROPN
ap-1852	1	56	∗	∗	NOUN
ap-1852	1	57	corresponding	correspond	VERB
ap-1852	1	58	author	author	NOUN
ap-1852	1	59	:	:	PUNCT
ap-1852	1	60	presnajder@fmph.uniba.sk	presnajder@fmph.uniba.sk	NOUN
ap-1852	1	61	abstract	abstract	NOUN
ap-1852	1	62	.	.	PUNCT
ap-1852	2	1	recently	recently	ADV
ap-1852	2	2	we	we	PRON
ap-1852	2	3	formulated	formulate	VERB
ap-1852	2	4	the	the	DET
ap-1852	2	5	coulomb	coulomb	NOUN
ap-1852	2	6	problem	problem	NOUN
ap-1852	2	7	in	in	ADP
ap-1852	2	8	a	a	DET
ap-1852	2	9	rotationally	rotationally	ADV
ap-1852	2	10	invariant	invariant	ADJ
ap-1852	2	11	nc	nc	PROPN
ap-1852	2	12	configuration	configuration	NOUN
ap-1852	2	13	space	space	NOUN
ap-1852	2	14	specified	specify	VERB
ap-1852	2	15	by	by	ADP
ap-1852	2	16	nc	nc	PROPN
ap-1852	2	17	coordinates	coordinates	PROPN
ap-1852	2	18	xi	xi	PROPN
ap-1852	2	19	,	,	PUNCT
ap-1852	2	20	i	i	PRON
ap-1852	2	21	=	=	NOUN
ap-1852	2	22	1	1	NUM
ap-1852	2	23	,	,	PUNCT
ap-1852	2	24	2	2	NUM
ap-1852	2	25	,	,	PUNCT
ap-1852	2	26	3	3	NUM
ap-1852	2	27	,	,	PUNCT
ap-1852	2	28	satisfying	satisfy	VERB
ap-1852	2	29	commutation	commutation	NOUN
ap-1852	2	30	relations	relation	NOUN
ap-1852	2	31	[	[	X
ap-1852	2	32	xi	xi	X
ap-1852	2	33	,	,	PUNCT
ap-1852	2	34	xj	xj	X
ap-1852	2	35	]	]	PUNCT
ap-1852	2	36	=	=	PUNCT
ap-1852	3	1	2iλεijkxk	2iλεijkxk	NUM
ap-1852	3	2	(	(	PUNCT
ap-1852	3	3	λ	λ	NOUN
ap-1852	3	4	being	be	AUX
ap-1852	3	5	our	our	PRON
ap-1852	3	6	nc	nc	PROPN
ap-1852	3	7	parameter	parameter	PROPN
ap-1852	3	8	)	)	PUNCT
ap-1852	3	9	.	.	PUNCT
ap-1852	4	1	we	we	PRON
ap-1852	4	2	found	find	VERB
ap-1852	4	3	that	that	SCONJ
ap-1852	4	4	the	the	DET
ap-1852	4	5	problem	problem	NOUN
ap-1852	4	6	is	be	AUX
ap-1852	4	7	exactly	exactly	ADV
ap-1852	4	8	solvable	solvable	ADJ
ap-1852	4	9	:	:	PUNCT
ap-1852	4	10	first	first	ADV
ap-1852	4	11	we	we	PRON
ap-1852	4	12	gave	give	VERB
ap-1852	4	13	an	an	DET
ap-1852	4	14	exact	exact	ADJ
ap-1852	4	15	simple	simple	ADJ
ap-1852	4	16	formula	formula	NOUN
ap-1852	4	17	for	for	ADP
ap-1852	4	18	the	the	DET
ap-1852	4	19	energies	energy	NOUN
ap-1852	4	20	of	of	ADP
ap-1852	4	21	the	the	DET
ap-1852	4	22	negative	negative	ADJ
ap-1852	4	23	bound	bind	VERB
ap-1852	4	24	states	state	NOUN
ap-1852	4	25	eλn	eλn	VERB
ap-1852	4	26	<	<	X
ap-1852	4	27	0	0	PUNCT
ap-1852	4	28	(	(	PUNCT
ap-1852	4	29	n	n	ADP
ap-1852	4	30	being	be	AUX
ap-1852	4	31	the	the	DET
ap-1852	4	32	principal	principal	ADJ
ap-1852	4	33	quantum	quantum	ADJ
ap-1852	4	34	number	number	NOUN
ap-1852	4	35	)	)	PUNCT
ap-1852	4	36	,	,	PUNCT
ap-1852	4	37	and	and	CCONJ
ap-1852	4	38	later	later	ADV
ap-1852	4	39	we	we	PRON
ap-1852	4	40	found	find	VERB
ap-1852	4	41	the	the	DET
ap-1852	4	42	full	full	ADJ
ap-1852	4	43	solution	solution	NOUN
ap-1852	4	44	of	of	ADP
ap-1852	4	45	the	the	DET
ap-1852	4	46	nc	nc	PROPN
ap-1852	4	47	coulomb	coulomb	PROPN
ap-1852	4	48	problem	problem	NOUN
ap-1852	4	49	.	.	PUNCT
ap-1852	5	1	in	in	ADP
ap-1852	5	2	this	this	DET
ap-1852	5	3	paper	paper	NOUN
ap-1852	5	4	we	we	PRON
ap-1852	5	5	present	present	VERB
ap-1852	5	6	an	an	DET
ap-1852	5	7	exact	exact	ADJ
ap-1852	5	8	calculation	calculation	NOUN
ap-1852	5	9	of	of	ADP
ap-1852	5	10	the	the	DET
ap-1852	5	11	nc	nc	PROPN
ap-1852	5	12	coulomb	coulomb	PROPN
ap-1852	5	13	scattering	scatter	VERB
ap-1852	5	14	matrix	matrix	NOUN
ap-1852	5	15	sλj	sλj	NOUN
ap-1852	5	16	(	(	PUNCT
ap-1852	5	17	e	e	NOUN
ap-1852	5	18	)	)	PUNCT
ap-1852	5	19	in	in	ADP
ap-1852	5	20	the	the	DET
ap-1852	5	21	j	j	PROPN
ap-1852	5	22	-	-	PUNCT
ap-1852	5	23	th	th	VERB
ap-1852	5	24	partial	partial	ADJ
ap-1852	5	25	wave	wave	NOUN
ap-1852	5	26	.	.	PUNCT
ap-1852	6	1	as	as	SCONJ
ap-1852	6	2	the	the	DET
ap-1852	6	3	calculations	calculation	NOUN
ap-1852	6	4	are	be	AUX
ap-1852	6	5	exact	exact	ADJ
ap-1852	6	6	,	,	PUNCT
ap-1852	6	7	we	we	PRON
ap-1852	6	8	can	can	AUX
ap-1852	6	9	recognize	recognize	VERB
ap-1852	6	10	remarkable	remarkable	ADJ
ap-1852	6	11	non	non	ADJ
ap-1852	6	12	-	-	ADJ
ap-1852	6	13	perturbative	perturbative	ADJ
ap-1852	6	14	aspects	aspect	NOUN
ap-1852	6	15	of	of	ADP
ap-1852	6	16	the	the	DET
ap-1852	6	17	model	model	NOUN
ap-1852	6	18	:	:	PUNCT
ap-1852	6	19	1	1	X
ap-1852	6	20	)	)	PUNCT
ap-1852	6	21	energy	energy	NOUN
ap-1852	6	22	cut	cut	NOUN
ap-1852	6	23	-	-	PUNCT
ap-1852	6	24	off	off	NOUN
ap-1852	6	25	—	—	PUNCT
ap-1852	6	26	the	the	DET
ap-1852	6	27	scattering	scattering	NOUN
ap-1852	6	28	is	be	AUX
ap-1852	6	29	restricted	restrict	VERB
ap-1852	6	30	to	to	ADP
ap-1852	6	31	the	the	DET
ap-1852	6	32	energy	energy	NOUN
ap-1852	6	33	interval	interval	NOUN
ap-1852	6	34	0	0	PUNCT
ap-1852	6	35	<	<	X
ap-1852	6	36	e	e	X
ap-1852	6	37	<	<	X
ap-1852	6	38	ecrit	ecrit	X
ap-1852	6	39	=	=	SYM
ap-1852	6	40	2	2	NUM
ap-1852	6	41	/	/	SYM
ap-1852	6	42	λ2	λ2	NOUN
ap-1852	6	43	;	;	PUNCT
ap-1852	6	44	2	2	X
ap-1852	6	45	)	)	PUNCT
ap-1852	6	46	the	the	DET
ap-1852	6	47	presence	presence	NOUN
ap-1852	6	48	of	of	ADP
ap-1852	6	49	two	two	NUM
ap-1852	6	50	sets	set	NOUN
ap-1852	6	51	of	of	ADP
ap-1852	6	52	poles	pole	NOUN
ap-1852	6	53	of	of	ADP
ap-1852	6	54	the	the	DET
ap-1852	6	55	s	s	NOUN
ap-1852	6	56	-	-	NOUN
ap-1852	6	57	matrix	matrix	NOUN
ap-1852	6	58	in	in	ADP
ap-1852	6	59	the	the	DET
ap-1852	6	60	complex	complex	ADJ
ap-1852	6	61	energy	energy	NOUN
ap-1852	6	62	plane	plane	NOUN
ap-1852	6	63	—	—	PUNCT
ap-1852	6	64	as	as	SCONJ
ap-1852	6	65	expected	expect	VERB
ap-1852	6	66	,	,	PUNCT
ap-1852	6	67	the	the	DET
ap-1852	6	68	poles	pole	NOUN
ap-1852	6	69	at	at	ADP
ap-1852	6	70	negative	negative	ADJ
ap-1852	6	71	energy	energy	NOUN
ap-1852	6	72	ei	ei	NOUN
ap-1852	6	73	λn	λn	NOUN
ap-1852	6	74	=	=	PUNCT
ap-1852	6	75	eλn	eλn	PROPN
ap-1852	6	76	for	for	ADP
ap-1852	6	77	the	the	DET
ap-1852	6	78	coulomb	coulomb	NOUN
ap-1852	6	79	attractive	attractive	ADJ
ap-1852	6	80	potential	potential	NOUN
ap-1852	6	81	,	,	PUNCT
ap-1852	6	82	and	and	CCONJ
ap-1852	6	83	the	the	DET
ap-1852	6	84	poles	pole	NOUN
ap-1852	6	85	at	at	ADP
ap-1852	6	86	ultra	ultra	ADJ
ap-1852	6	87	-	-	ADJ
ap-1852	6	88	high	high	ADJ
ap-1852	6	89	energies	energy	NOUN
ap-1852	6	90	eii	eii	X
ap-1852	6	91	λn	λn	PROPN
ap-1852	6	92	=	=	PROPN
ap-1852	6	93	ecrit	ecrit	PROPN
ap-1852	6	94	−	−	PROPN
ap-1852	6	95	eλn	eλn	NOUN
ap-1852	6	96	for	for	ADP
ap-1852	6	97	the	the	DET
ap-1852	6	98	coulomb	coulomb	NOUN
ap-1852	6	99	repulsive	repulsive	ADJ
ap-1852	6	100	potential	potential	NOUN
ap-1852	6	101	.	.	PUNCT
ap-1852	7	1	the	the	DET
ap-1852	7	2	poles	pole	NOUN
ap-1852	7	3	at	at	ADP
ap-1852	7	4	ultra	ultra	ADJ
ap-1852	7	5	-	-	ADJ
ap-1852	7	6	high	high	ADJ
ap-1852	7	7	energies	energy	NOUN
ap-1852	7	8	disappear	disappear	VERB
ap-1852	7	9	in	in	ADP
ap-1852	7	10	the	the	DET
ap-1852	7	11	commutative	commutative	ADJ
ap-1852	7	12	limit	limit	NOUN
ap-1852	7	13	λ→	λ→	PUNCT
ap-1852	7	14	0	0	X
ap-1852	7	15	.	.	PUNCT
ap-1852	8	1	keywords	keyword	NOUN
ap-1852	8	2	:	:	PUNCT
ap-1852	8	3	coulomb	coulomb	NOUN
ap-1852	8	4	scattering	scattering	NOUN
ap-1852	8	5	,	,	PUNCT
ap-1852	8	6	non	non	ADJ
ap-1852	8	7	-	-	ADJ
ap-1852	8	8	commutativity	commutativity	ADJ
ap-1852	8	9	,	,	PUNCT
ap-1852	8	10	quantum	quantum	NOUN
ap-1852	8	11	mechanics	mechanic	NOUN
ap-1852	8	12	.	.	PUNCT
ap-1852	9	1	submitted	submit	VERB
ap-1852	9	2	:	:	PUNCT
ap-1852	9	3	12	12	NUM
ap-1852	9	4	march	march	NOUN
ap-1852	9	5	2013	2013	NUM
ap-1852	9	6	.	.	PUNCT
ap-1852	10	1	accepted	accept	VERB
ap-1852	10	2	:	:	PUNCT
ap-1852	10	3	16	16	NUM
ap-1852	10	4	april	april	PROPN
ap-1852	10	5	2013	2013	NUM
ap-1852	10	6	.	.	PUNCT
ap-1852	11	1	1	1	X
ap-1852	11	2	.	.	X
ap-1852	11	3	introduction	introduction	NOUN
ap-1852	11	4	the	the	DET
ap-1852	11	5	basic	basic	ADJ
ap-1852	11	6	ideas	idea	NOUN
ap-1852	11	7	of	of	ADP
ap-1852	11	8	non	non	ADJ
ap-1852	11	9	-	-	ADJ
ap-1852	11	10	commutative	commutative	ADJ
ap-1852	11	11	geometry	geometry	NOUN
ap-1852	11	12	have	have	AUX
ap-1852	11	13	been	be	AUX
ap-1852	11	14	developed	develop	VERB
ap-1852	11	15	in	in	ADP
ap-1852	11	16	[	[	X
ap-1852	11	17	1	1	NUM
ap-1852	11	18	]	]	PUNCT
ap-1852	11	19	and	and	CCONJ
ap-1852	11	20	in	in	ADP
ap-1852	11	21	a	a	DET
ap-1852	11	22	form	form	NOUN
ap-1852	11	23	of	of	ADP
ap-1852	11	24	matrix	matrix	NOUN
ap-1852	11	25	geometry	geometry	NOUN
ap-1852	11	26	in	in	ADP
ap-1852	11	27	[	[	X
ap-1852	11	28	2	2	NUM
ap-1852	11	29	]	]	PUNCT
ap-1852	11	30	.	.	PUNCT
ap-1852	12	1	the	the	DET
ap-1852	12	2	analysis	analysis	NOUN
ap-1852	12	3	performed	perform	VERB
ap-1852	12	4	in	in	ADP
ap-1852	12	5	[	[	X
ap-1852	12	6	3	3	NUM
ap-1852	12	7	]	]	PUNCT
ap-1852	12	8	led	lead	VERB
ap-1852	12	9	to	to	ADP
ap-1852	12	10	the	the	DET
ap-1852	12	11	conclusion	conclusion	NOUN
ap-1852	12	12	that	that	SCONJ
ap-1852	12	13	quantum	quantum	ADJ
ap-1852	12	14	vacuum	vacuum	NOUN
ap-1852	12	15	fluctuations	fluctuation	NOUN
ap-1852	12	16	and	and	CCONJ
ap-1852	12	17	einstein	einstein	NOUN
ap-1852	12	18	gravity	gravity	NOUN
ap-1852	12	19	could	could	AUX
ap-1852	12	20	create	create	VERB
ap-1852	12	21	(	(	PUNCT
ap-1852	12	22	micro)black	micro)black	VERB
ap-1852	12	23	holes	hole	NOUN
ap-1852	12	24	which	which	PRON
ap-1852	12	25	prevent	prevent	VERB
ap-1852	12	26	localization	localization	NOUN
ap-1852	12	27	of	of	ADP
ap-1852	12	28	space	space	NOUN
ap-1852	12	29	-	-	PUNCT
ap-1852	12	30	time	time	NOUN
ap-1852	12	31	points	point	NOUN
ap-1852	12	32	.	.	PUNCT
ap-1852	13	1	mathematically	mathematically	ADV
ap-1852	13	2	this	this	PRON
ap-1852	13	3	requires	require	VERB
ap-1852	13	4	non	non	ADJ
ap-1852	13	5	-	-	ADJ
ap-1852	13	6	commutative	commutative	ADJ
ap-1852	13	7	(	(	PUNCT
ap-1852	13	8	nc	nc	NOUN
ap-1852	13	9	)	)	PUNCT
ap-1852	13	10	coordinates	coordinate	NOUN
ap-1852	13	11	xµ	xµ	X
ap-1852	13	12	in	in	ADP
ap-1852	13	13	space	space	NOUN
ap-1852	13	14	-	-	PUNCT
ap-1852	13	15	time	time	NOUN
ap-1852	13	16	satisfying	satisfy	VERB
ap-1852	13	17	specific	specific	ADJ
ap-1852	13	18	commutation	commutation	NOUN
ap-1852	13	19	relations	relation	NOUN
ap-1852	13	20	.	.	PUNCT
ap-1852	14	1	e.g.	e.g.	ADV
ap-1852	14	2	heisenberg	heisenberg	PROPN
ap-1852	14	3	-	-	PUNCT
ap-1852	14	4	moyal	moyal	NOUN
ap-1852	14	5	commutation	commutation	NOUN
ap-1852	14	6	relations	relation	NOUN
ap-1852	14	7	[	[	X
ap-1852	14	8	xµ	xµ	X
ap-1852	14	9	,	,	PUNCT
ap-1852	14	10	xν	xν	NOUN
ap-1852	14	11	]	]	PUNCT
ap-1852	15	1	=	=	PUNCT
ap-1852	15	2	iθµν	iθµν	NOUN
ap-1852	15	3	,	,	PUNCT
ap-1852	15	4	µ	µ	NOUN
ap-1852	15	5	,	,	PUNCT
ap-1852	15	6	ν	ν	X
ap-1852	15	7	=	=	SYM
ap-1852	15	8	0	0	NUM
ap-1852	15	9	,	,	PUNCT
ap-1852	15	10	1	1	NUM
ap-1852	15	11	,	,	PUNCT
ap-1852	15	12	2	2	NUM
ap-1852	15	13	,	,	PUNCT
ap-1852	15	14	3	3	NUM
ap-1852	15	15	,	,	PUNCT
ap-1852	15	16	(	(	PUNCT
ap-1852	15	17	1	1	X
ap-1852	15	18	)	)	PUNCT
ap-1852	15	19	where	where	SCONJ
ap-1852	15	20	θµν	θµν	NOUN
ap-1852	15	21	are	be	AUX
ap-1852	15	22	given	give	VERB
ap-1852	15	23	numerical	numerical	ADJ
ap-1852	15	24	constants	constant	NOUN
ap-1852	15	25	that	that	PRON
ap-1852	15	26	specify	specify	VERB
ap-1852	15	27	the	the	DET
ap-1852	15	28	non	non	NOUN
ap-1852	15	29	-	-	NOUN
ap-1852	15	30	commutativity	commutativity	NOUN
ap-1852	15	31	of	of	ADP
ap-1852	15	32	the	the	DET
ap-1852	15	33	space	space	NOUN
ap-1852	15	34	-	-	PUNCT
ap-1852	15	35	time	time	NOUN
ap-1852	15	36	in	in	ADP
ap-1852	15	37	question	question	NOUN
ap-1852	15	38	.	.	PUNCT
ap-1852	16	1	later	later	ADV
ap-1852	16	2	in	in	ADP
ap-1852	16	3	[	[	X
ap-1852	16	4	4	4	X
ap-1852	16	5	]	]	PUNCT
ap-1852	16	6	it	it	PRON
ap-1852	16	7	was	be	AUX
ap-1852	16	8	shown	show	VERB
ap-1852	16	9	that	that	SCONJ
ap-1852	16	10	such	such	ADJ
ap-1852	16	11	field	field	NOUN
ap-1852	16	12	theories	theory	NOUN
ap-1852	16	13	in	in	ADP
ap-1852	16	14	nc	nc	PROPN
ap-1852	16	15	spaces	space	NOUN
ap-1852	16	16	can	can	AUX
ap-1852	16	17	emerge	emerge	VERB
ap-1852	16	18	as	as	ADP
ap-1852	16	19	effective	effective	ADJ
ap-1852	16	20	low	low	ADJ
ap-1852	16	21	energy	energy	NOUN
ap-1852	16	22	limits	limit	NOUN
ap-1852	16	23	of	of	ADP
ap-1852	16	24	string	string	NOUN
ap-1852	16	25	theories	theory	NOUN
ap-1852	16	26	.	.	PUNCT
ap-1852	17	1	these	these	DET
ap-1852	17	2	results	result	NOUN
ap-1852	17	3	supported	support	VERB
ap-1852	17	4	a	a	DET
ap-1852	17	5	vivid	vivid	ADJ
ap-1852	17	6	development	development	NOUN
ap-1852	17	7	of	of	ADP
ap-1852	17	8	non	non	ADJ
ap-1852	17	9	-	-	ADJ
ap-1852	17	10	commutative	commutative	ADJ
ap-1852	17	11	qft	qft	NOUN
ap-1852	17	12	.	.	PUNCT
ap-1852	18	1	however	however	ADV
ap-1852	18	2	,	,	PUNCT
ap-1852	18	3	such	such	ADJ
ap-1852	18	4	models	model	NOUN
ap-1852	18	5	are	be	AUX
ap-1852	18	6	very	very	ADV
ap-1852	18	7	complicated	complicated	ADJ
ap-1852	18	8	and	and	CCONJ
ap-1852	18	9	contain	contain	VERB
ap-1852	18	10	various	various	ADJ
ap-1852	18	11	unpleasant	unpleasant	ADJ
ap-1852	18	12	and	and	CCONJ
ap-1852	18	13	unwanted	unwanted	ADJ
ap-1852	18	14	features	feature	NOUN
ap-1852	18	15	.	.	PUNCT
ap-1852	19	1	however	however	ADV
ap-1852	19	2	,	,	PUNCT
ap-1852	19	3	it	it	PRON
ap-1852	19	4	may	may	AUX
ap-1852	19	5	be	be	AUX
ap-1852	19	6	interesting	interesting	ADJ
ap-1852	19	7	to	to	PART
ap-1852	19	8	reverse	reverse	VERB
ap-1852	19	9	the	the	DET
ap-1852	19	10	approach	approach	NOUN
ap-1852	19	11	.	.	PUNCT
ap-1852	20	1	not	not	PART
ap-1852	20	2	to	to	PART
ap-1852	20	3	use	use	VERB
ap-1852	20	4	the	the	DET
ap-1852	20	5	nc	nc	PROPN
ap-1852	20	6	geometry	geometry	NOUN
ap-1852	20	7	to	to	PART
ap-1852	20	8	improve	improve	VERB
ap-1852	20	9	the	the	DET
ap-1852	20	10	foundations	foundation	NOUN
ap-1852	20	11	of	of	ADP
ap-1852	20	12	qft	qft	NOUN
ap-1852	20	13	,	,	PUNCT
ap-1852	20	14	but	but	CCONJ
ap-1852	20	15	to	to	PART
ap-1852	20	16	test	test	VERB
ap-1852	20	17	the	the	DET
ap-1852	20	18	effect	effect	NOUN
ap-1852	20	19	of	of	ADP
ap-1852	20	20	noncommutativity	noncommutativity	NOUN
ap-1852	20	21	of	of	ADP
ap-1852	20	22	the	the	DET
ap-1852	20	23	space	space	NOUN
ap-1852	20	24	on	on	ADP
ap-1852	20	25	well	well	ADV
ap-1852	20	26	-	-	PUNCT
ap-1852	20	27	defined	define	VERB
ap-1852	20	28	problems	problem	NOUN
ap-1852	20	29	in	in	ADP
ap-1852	20	30	quantum	quantum	ADJ
ap-1852	20	31	mechanics	mechanic	NOUN
ap-1852	20	32	(	(	PUNCT
ap-1852	20	33	qm	qm	PROPN
ap-1852	20	34	)	)	PUNCT
ap-1852	20	35	,	,	PUNCT
ap-1852	20	36	such	such	ADJ
ap-1852	20	37	as	as	ADP
ap-1852	20	38	the	the	DET
ap-1852	20	39	harmonic	harmonic	ADJ
ap-1852	20	40	oscillator	oscillator	NOUN
ap-1852	20	41	,	,	PUNCT
ap-1852	20	42	the	the	DET
ap-1852	20	43	aharonov	aharonov	PROPN
ap-1852	20	44	-	-	PUNCT
ap-1852	20	45	bohm	bohm	PROPN
ap-1852	20	46	effect	effect	NOUN
ap-1852	20	47	,	,	PUNCT
ap-1852	20	48	the	the	DET
ap-1852	20	49	coulomb	coulomb	NOUN
ap-1852	20	50	problem	problem	NOUN
ap-1852	20	51	and	and	CCONJ
ap-1852	20	52	the	the	DET
ap-1852	20	53	planar	planar	ADJ
ap-1852	20	54	spherical	spherical	ADJ
ap-1852	20	55	well	well	ADV
ap-1852	20	56	,	,	PUNCT
ap-1852	20	57	see	see	VERB
ap-1852	20	58	e.g.	e.g.	ADV
ap-1852	20	59	[	[	X
ap-1852	20	60	5–7	5–7	NOUN
ap-1852	20	61	]	]	PUNCT
ap-1852	20	62	.	.	PUNCT
ap-1852	21	1	recently	recently	ADV
ap-1852	21	2	,	,	PUNCT
ap-1852	21	3	in	in	ADP
ap-1852	21	4	[	[	PUNCT
ap-1852	21	5	9	9	NUM
ap-1852	21	6	,	,	PUNCT
ap-1852	21	7	10	10	NUM
ap-1852	21	8	]	]	PUNCT
ap-1852	21	9	we	we	PRON
ap-1852	21	10	formulated	formulate	VERB
ap-1852	21	11	the	the	DET
ap-1852	21	12	coulomb	coulomb	NOUN
ap-1852	21	13	problem	problem	NOUN
ap-1852	21	14	in	in	ADP
ap-1852	21	15	a	a	DET
ap-1852	21	16	rotationally	rotationally	ADV
ap-1852	21	17	invariant	invariant	ADJ
ap-1852	21	18	nc	nc	PROPN
ap-1852	21	19	configuration	configuration	PROPN
ap-1852	21	20	space	space	NOUN
ap-1852	21	21	r3	r3	PROPN
ap-1852	21	22	λ	λ	NOUN
ap-1852	21	23	specified	specify	VERB
ap-1852	21	24	by	by	ADP
ap-1852	21	25	nc	nc	PROPN
ap-1852	21	26	coordinates	coordinates	PROPN
ap-1852	21	27	xk	xk	PROPN
ap-1852	21	28	,	,	PUNCT
ap-1852	21	29	k	k	PROPN
ap-1852	21	30	=	=	SYM
ap-1852	21	31	1	1	NUM
ap-1852	21	32	,	,	PUNCT
ap-1852	21	33	2	2	NUM
ap-1852	21	34	,	,	PUNCT
ap-1852	21	35	3	3	NUM
ap-1852	21	36	,	,	PUNCT
ap-1852	21	37	satisfying	satisfy	VERB
ap-1852	21	38	the	the	DET
ap-1852	21	39	commutation	commutation	NOUN
ap-1852	21	40	relations	relation	NOUN
ap-1852	21	41	[	[	X
ap-1852	21	42	xi	xi	X
ap-1852	21	43	,	,	PUNCT
ap-1852	21	44	xj	xj	X
ap-1852	21	45	]	]	PUNCT
ap-1852	21	46	=	=	PUNCT
ap-1852	22	1	2iλεijkxk	2iλεijkxk	NUM
ap-1852	22	2	,	,	PUNCT
ap-1852	22	3	(	(	PUNCT
ap-1852	22	4	2	2	X
ap-1852	22	5	)	)	PUNCT
ap-1852	22	6	where	where	SCONJ
ap-1852	22	7	λ	λ	PROPN
ap-1852	22	8	is	be	AUX
ap-1852	22	9	a	a	DET
ap-1852	22	10	parameter	parameter	NOUN
ap-1852	22	11	of	of	ADP
ap-1852	22	12	the	the	DET
ap-1852	22	13	non	non	NOUN
ap-1852	22	14	-	-	NOUN
ap-1852	22	15	commutativity	commutativity	NOUN
ap-1852	22	16	with	with	ADP
ap-1852	22	17	the	the	DET
ap-1852	22	18	dimension	dimension	NOUN
ap-1852	22	19	of	of	ADP
ap-1852	22	20	length	length	NOUN
ap-1852	22	21	.	.	PUNCT
ap-1852	23	1	we	we	PRON
ap-1852	23	2	found	find	VERB
ap-1852	23	3	the	the	DET
ap-1852	23	4	model	model	NOUN
ap-1852	23	5	exactly	exactly	ADV
ap-1852	23	6	solvable	solvable	ADJ
ap-1852	23	7	.	.	PUNCT
ap-1852	24	1	in	in	ADP
ap-1852	24	2	[	[	X
ap-1852	24	3	9	9	X
ap-1852	24	4	]	]	PUNCT
ap-1852	24	5	we	we	PRON
ap-1852	24	6	gave	give	VERB
ap-1852	24	7	an	an	DET
ap-1852	24	8	exact	exact	ADJ
ap-1852	24	9	simple	simple	ADJ
ap-1852	24	10	formula	formula	NOUN
ap-1852	24	11	for	for	ADP
ap-1852	24	12	the	the	DET
ap-1852	24	13	nc	nc	PROPN
ap-1852	24	14	negative	negative	PROPN
ap-1852	24	15	bound	bound	ADJ
ap-1852	24	16	state	state	NOUN
ap-1852	24	17	energies	energy	NOUN
ap-1852	24	18	,	,	PUNCT
ap-1852	24	19	and	and	CCONJ
ap-1852	24	20	in	in	ADP
ap-1852	24	21	[	[	X
ap-1852	24	22	10	10	NUM
ap-1852	24	23	]	]	PUNCT
ap-1852	24	24	we	we	PRON
ap-1852	24	25	presented	present	VERB
ap-1852	24	26	the	the	DET
ap-1852	24	27	full	full	ADJ
ap-1852	24	28	solution	solution	NOUN
ap-1852	24	29	of	of	ADP
ap-1852	24	30	the	the	DET
ap-1852	24	31	nc	nc	PROPN
ap-1852	24	32	coulomb	coulomb	PROPN
ap-1852	24	33	problem	problem	NOUN
ap-1852	24	34	.	.	PUNCT
ap-1852	25	1	in	in	ADP
ap-1852	25	2	this	this	DET
ap-1852	25	3	paper	paper	NOUN
ap-1852	25	4	we	we	PRON
ap-1852	25	5	present	present	VERB
ap-1852	25	6	exact	exact	ADJ
ap-1852	25	7	formulas	formula	NOUN
ap-1852	25	8	for	for	ADP
ap-1852	25	9	the	the	DET
ap-1852	25	10	nc	nc	PROPN
ap-1852	25	11	coulomb	coulomb	PROPN
ap-1852	25	12	s	s	PART
ap-1852	25	13	-	-	NOUN
ap-1852	25	14	matrix	matrix	NOUN
ap-1852	25	15	in	in	ADP
ap-1852	25	16	the	the	DET
ap-1852	25	17	j	j	PROPN
ap-1852	25	18	-	-	PUNCT
ap-1852	25	19	th	th	VERB
ap-1852	25	20	partial	partial	ADJ
ap-1852	25	21	wave	wave	NOUN
ap-1852	25	22	.	.	PUNCT
ap-1852	26	1	a	a	DET
ap-1852	26	2	similar	similar	ADJ
ap-1852	26	3	construction	construction	NOUN
ap-1852	26	4	of	of	ADP
ap-1852	26	5	a	a	DET
ap-1852	26	6	3d	3d	PROPN
ap-1852	26	7	noncommutative	noncommutative	ADJ
ap-1852	26	8	space	space	NOUN
ap-1852	26	9	,	,	PUNCT
ap-1852	26	10	as	as	ADP
ap-1852	26	11	a	a	DET
ap-1852	26	12	sequence	sequence	NOUN
ap-1852	26	13	of	of	ADP
ap-1852	26	14	fuzzy	fuzzy	ADJ
ap-1852	26	15	spheres	sphere	NOUN
ap-1852	26	16	,	,	PUNCT
ap-1852	26	17	was	be	AUX
ap-1852	26	18	proposed	propose	VERB
ap-1852	26	19	in	in	ADP
ap-1852	26	20	[	[	X
ap-1852	26	21	11	11	NUM
ap-1852	26	22	]	]	PUNCT
ap-1852	26	23	.	.	PUNCT
ap-1852	27	1	however	however	ADV
ap-1852	27	2	,	,	PUNCT
ap-1852	27	3	various	various	ADJ
ap-1852	27	4	fuzzy	fuzzy	ADJ
ap-1852	27	5	spheres	sphere	NOUN
ap-1852	27	6	are	be	AUX
ap-1852	27	7	related	relate	VERB
ap-1852	27	8	to	to	ADP
ap-1852	27	9	each	each	DET
ap-1852	27	10	other	other	ADJ
ap-1852	27	11	differently	differently	ADV
ap-1852	27	12	there	there	ADV
ap-1852	27	13	(	(	PUNCT
ap-1852	27	14	not	not	PART
ap-1852	27	15	leading	lead	VERB
ap-1852	27	16	to	to	ADP
ap-1852	27	17	the	the	DET
ap-1852	27	18	flat	flat	ADJ
ap-1852	27	19	3d	3d	NUM
ap-1852	27	20	geometry	geometry	NOUN
ap-1852	27	21	at	at	ADP
ap-1852	27	22	large	large	ADJ
ap-1852	27	23	distances	distance	NOUN
ap-1852	27	24	)	)	PUNCT
ap-1852	27	25	.	.	PUNCT
ap-1852	28	1	this	this	DET
ap-1852	28	2	paper	paper	NOUN
ap-1852	28	3	is	be	AUX
ap-1852	28	4	organized	organize	VERB
ap-1852	28	5	as	as	SCONJ
ap-1852	28	6	follows	follow	VERB
ap-1852	28	7	.	.	PUNCT
ap-1852	29	1	in	in	ADP
ap-1852	29	2	section	section	NOUN
ap-1852	29	3	2	2	NUM
ap-1852	29	4	we	we	PRON
ap-1852	29	5	provide	provide	VERB
ap-1852	29	6	the	the	DET
ap-1852	29	7	formulation	formulation	NOUN
ap-1852	29	8	of	of	ADP
ap-1852	29	9	the	the	DET
ap-1852	29	10	coulomb	coulomb	NOUN
ap-1852	29	11	problem	problem	NOUN
ap-1852	29	12	in	in	ADP
ap-1852	29	13	nc	nc	PROPN
ap-1852	29	14	space	space	NOUN
ap-1852	29	15	and	and	CCONJ
ap-1852	29	16	we	we	PRON
ap-1852	29	17	briefly	briefly	ADV
ap-1852	29	18	describe	describe	VERB
ap-1852	29	19	the	the	DET
ap-1852	29	20	method	method	NOUN
ap-1852	29	21	of	of	ADP
ap-1852	29	22	solution	solution	NOUN
ap-1852	29	23	suggested	suggest	VERB
ap-1852	29	24	in	in	ADP
ap-1852	29	25	[	[	X
ap-1852	29	26	9	9	NUM
ap-1852	29	27	]	]	PUNCT
ap-1852	29	28	and	and	CCONJ
ap-1852	29	29	[	[	X
ap-1852	29	30	10	10	NUM
ap-1852	29	31	]	]	PUNCT
ap-1852	29	32	.	.	PUNCT
ap-1852	30	1	in	in	ADP
ap-1852	30	2	section	section	NOUN
ap-1852	30	3	3	3	NUM
ap-1852	30	4	we	we	PRON
ap-1852	30	5	sketch	sketch	VERB
ap-1852	30	6	the	the	DET
ap-1852	30	7	determination	determination	NOUN
ap-1852	30	8	of	of	ADP
ap-1852	30	9	the	the	DET
ap-1852	30	10	coulomb	coulomb	NOUN
ap-1852	30	11	s	s	NOUN
ap-1852	30	12	-	-	NOUN
ap-1852	30	13	matrix	matrix	NOUN
ap-1852	30	14	in	in	ADP
ap-1852	30	15	spherical	spherical	ADJ
ap-1852	30	16	coordinates	coordinate	NOUN
ap-1852	30	17	within	within	ADP
ap-1852	30	18	standard	standard	PROPN
ap-1852	30	19	qm	qm	PROPN
ap-1852	30	20	(	(	PUNCT
ap-1852	30	21	see	see	VERB
ap-1852	30	22	[	[	X
ap-1852	30	23	12	12	NUM
ap-1852	30	24	]	]	NUM
ap-1852	30	25	)	)	PUNCT
ap-1852	30	26	,	,	PUNCT
ap-1852	30	27	and	and	CCONJ
ap-1852	30	28	then	then	ADV
ap-1852	30	29	we	we	PRON
ap-1852	30	30	generalize	generalize	VERB
ap-1852	30	31	the	the	DET
ap-1852	30	32	calculations	calculation	NOUN
ap-1852	30	33	to	to	ADP
ap-1852	30	34	the	the	DET
ap-1852	30	35	non	non	ADJ
ap-1852	30	36	-	-	ADJ
ap-1852	30	37	commutative	commutative	ADJ
ap-1852	30	38	context	context	NOUN
ap-1852	30	39	.	.	PUNCT
ap-1852	31	1	as	as	SCONJ
ap-1852	31	2	the	the	DET
ap-1852	31	3	calculations	calculation	NOUN
ap-1852	31	4	are	be	AUX
ap-1852	31	5	exact	exact	ADJ
ap-1852	31	6	,	,	PUNCT
ap-1852	31	7	we	we	PRON
ap-1852	31	8	shall	shall	AUX
ap-1852	31	9	be	be	AUX
ap-1852	31	10	able	able	ADJ
ap-1852	31	11	to	to	PART
ap-1852	31	12	recognize	recognize	VERB
ap-1852	31	13	remarkable	remarkable	ADJ
ap-1852	31	14	non	non	ADJ
ap-1852	31	15	-	-	ADJ
ap-1852	31	16	perturbative	perturbative	ADJ
ap-1852	31	17	aspects	aspect	NOUN
ap-1852	31	18	of	of	ADP
ap-1852	31	19	the	the	DET
ap-1852	31	20	nc	nc	PROPN
ap-1852	31	21	coulomb	coulomb	PROPN
ap-1852	31	22	problem	problem	NOUN
ap-1852	31	23	:	:	PUNCT
ap-1852	31	24	•	•	ADP
ap-1852	31	25	the	the	DET
ap-1852	31	26	cut	cut	NOUN
ap-1852	31	27	-	-	PUNCT
ap-1852	31	28	off	off	NOUN
ap-1852	31	29	for	for	ADP
ap-1852	31	30	the	the	DET
ap-1852	31	31	scattering	scatter	VERB
ap-1852	31	32	energy	energy	NOUN
ap-1852	31	33	e	e	NOUN
ap-1852	31	34	∈	∈	PROPN
ap-1852	31	35	(	(	PUNCT
ap-1852	31	36	0	0	NUM
ap-1852	31	37	,	,	PUNCT
ap-1852	31	38	ecrit	ecrit	PROPN
ap-1852	31	39	)	)	PUNCT
ap-1852	31	40	,	,	PUNCT
ap-1852	31	41	where	where	SCONJ
ap-1852	31	42	ecrit	ecrit	NOUN
ap-1852	31	43	=	=	ADJ
ap-1852	31	44	2	2	NUM
ap-1852	31	45	/	/	SYM
ap-1852	31	46	λ2	λ2	NOUN
ap-1852	31	47	;	;	PUNCT
ap-1852	31	48	•	•	NUM
ap-1852	31	49	two	two	NUM
ap-1852	31	50	sets	set	NOUN
ap-1852	31	51	of	of	ADP
ap-1852	31	52	s	s	NOUN
ap-1852	31	53	-	-	PUNCT
ap-1852	31	54	matrix	matrix	NOUN
ap-1852	31	55	poles	pole	NOUN
ap-1852	31	56	:	:	PUNCT
ap-1852	31	57	poles	pole	NOUN
ap-1852	31	58	at	at	ADP
ap-1852	31	59	energies	energy	NOUN
ap-1852	31	60	e	e	X
ap-1852	31	61	<	<	X
ap-1852	31	62	0	0	NUM
ap-1852	31	63	for	for	ADP
ap-1852	31	64	attractive	attractive	ADJ
ap-1852	31	65	coulomb	coulomb	NOUN
ap-1852	31	66	potential	potential	NOUN
ap-1852	31	67	and	and	CCONJ
ap-1852	31	68	poles	pole	NOUN
ap-1852	31	69	at	at	ADP
ap-1852	31	70	427	427	NUM
ap-1852	31	71	http://dx.doi.org/10.14311/ap.2013.53.0427	http://dx.doi.org/10.14311/ap.2013.53.0427	ADP
ap-1852	31	72	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-1852	31	73	v.	v.	ADP
ap-1852	31	74	gáliková	gáliková	PROPN
ap-1852	31	75	,	,	PUNCT
ap-1852	31	76	p.	p.	NOUN
ap-1852	31	77	prešnajder	prešnajder	NOUN
ap-1852	31	78	acta	acta	PROPN
ap-1852	31	79	polytechnica	polytechnica	PROPN
ap-1852	31	80	ultra	ultra	ADJ
ap-1852	31	81	-	-	ADJ
ap-1852	31	82	high	high	ADJ
ap-1852	31	83	energies	energy	NOUN
ap-1852	31	84	e	e	X
ap-1852	31	85	>	>	X
ap-1852	31	86	ecrit	ecrit	PROPN
ap-1852	31	87	for	for	ADP
ap-1852	31	88	repulsive	repulsive	ADJ
ap-1852	31	89	coulomb	coulomb	NOUN
ap-1852	31	90	potential	potential	NOUN
ap-1852	31	91	that	that	PRON
ap-1852	31	92	disappear	disappear	VERB
ap-1852	31	93	in	in	ADP
ap-1852	31	94	the	the	DET
ap-1852	31	95	commutative	commutative	ADJ
ap-1852	31	96	limit	limit	NOUN
ap-1852	31	97	λ→	λ→	NOUN
ap-1852	31	98	0	0	X
ap-1852	31	99	.	.	PUNCT
ap-1852	32	1	in	in	ADP
ap-1852	32	2	section	section	NOUN
ap-1852	32	3	4	4	NUM
ap-1852	32	4	we	we	PRON
ap-1852	32	5	provide	provide	VERB
ap-1852	32	6	a	a	DET
ap-1852	32	7	brief	brief	ADJ
ap-1852	32	8	discussion	discussion	NOUN
ap-1852	32	9	and	and	CCONJ
ap-1852	32	10	conclusions	conclusion	NOUN
ap-1852	32	11	.	.	PUNCT
ap-1852	33	1	2	2	X
ap-1852	33	2	.	.	X
ap-1852	33	3	non	non	ADJ
ap-1852	33	4	-	-	ADJ
ap-1852	33	5	commutative	commutative	ADJ
ap-1852	33	6	quantum	quantum	ADJ
ap-1852	33	7	mechanics	mechanic	NOUN
ap-1852	33	8	2.1	2.1	NUM
ap-1852	33	9	.	.	PUNCT
ap-1852	34	1	non	non	ADJ
ap-1852	34	2	-	-	ADJ
ap-1852	34	3	commutative	commutative	ADJ
ap-1852	34	4	configuration	configuration	NOUN
ap-1852	34	5	space	space	NOUN
ap-1852	34	6	we	we	PRON
ap-1852	34	7	realize	realize	VERB
ap-1852	34	8	the	the	DET
ap-1852	34	9	nc	nc	PROPN
ap-1852	34	10	coordinates	coordinate	NOUN
ap-1852	34	11	in	in	ADP
ap-1852	34	12	r3	r3	PROPN
ap-1852	34	13	λ	λ	PROPN
ap-1852	34	14	,	,	PUNCT
ap-1852	34	15	similarly	similarly	ADV
ap-1852	34	16	as	as	ADP
ap-1852	34	17	the	the	DET
ap-1852	34	18	jordan	jordan	PROPN
ap-1852	34	19	-	-	PUNCT
ap-1852	34	20	wigner	wigner	NOUN
ap-1852	34	21	realization	realization	NOUN
ap-1852	34	22	of	of	ADP
ap-1852	34	23	the	the	DET
ap-1852	34	24	fuzzy	fuzzy	ADJ
ap-1852	34	25	sphere	sphere	NOUN
ap-1852	34	26	in	in	ADP
ap-1852	34	27	[	[	X
ap-1852	34	28	8	8	NUM
ap-1852	34	29	]	]	PUNCT
ap-1852	34	30	,	,	PUNCT
ap-1852	34	31	in	in	ADP
ap-1852	34	32	terms	term	NOUN
ap-1852	34	33	of	of	ADP
ap-1852	34	34	2	2	NUM
ap-1852	34	35	pairs	pair	NOUN
ap-1852	34	36	of	of	ADP
ap-1852	34	37	boson	boson	NOUN
ap-1852	34	38	annihilation	annihilation	NOUN
ap-1852	34	39	and	and	CCONJ
ap-1852	34	40	creation	creation	NOUN
ap-1852	34	41	operators	operator	NOUN
ap-1852	34	42	aα	aα	PROPN
ap-1852	34	43	,	,	PUNCT
ap-1852	34	44	a†α	a†α	PROPN
ap-1852	34	45	,	,	PUNCT
ap-1852	34	46	α	α	NOUN
ap-1852	34	47	=	=	SYM
ap-1852	34	48	1	1	NUM
ap-1852	34	49	,	,	PUNCT
ap-1852	34	50	2	2	NUM
ap-1852	34	51	,	,	PUNCT
ap-1852	34	52	satisfying	satisfy	VERB
ap-1852	34	53	the	the	DET
ap-1852	34	54	following	follow	VERB
ap-1852	34	55	commutation	commutation	NOUN
ap-1852	34	56	relations	relation	NOUN
ap-1852	34	57	:	:	PUNCT
ap-1852	35	1	[	[	X
ap-1852	35	2	aα	aα	NOUN
ap-1852	35	3	,	,	PUNCT
ap-1852	35	4	a†β	a†β	NUM
ap-1852	35	5	]	]	PUNCT
ap-1852	35	6	=	=	SYM
ap-1852	35	7	δαβ	δαβ	NOUN
ap-1852	35	8	,	,	PUNCT
ap-1852	35	9	[	[	X
ap-1852	35	10	aα	aα	NOUN
ap-1852	35	11	,	,	PUNCT
ap-1852	35	12	aβ	aβ	NOUN
ap-1852	35	13	]	]	PUNCT
ap-1852	35	14	=	=	PUNCT
ap-1852	36	1	[	[	X
ap-1852	36	2	a†α	a†α	PROPN
ap-1852	36	3	,	,	PUNCT
ap-1852	36	4	a	a	DET
ap-1852	36	5	†	†	X
ap-1852	36	6	β	β	X
ap-1852	36	7	]	]	PUNCT
ap-1852	36	8	=	=	PUNCT
ap-1852	36	9	0	0	X
ap-1852	36	10	.	.	PUNCT
ap-1852	37	1	(	(	PUNCT
ap-1852	37	2	3	3	X
ap-1852	37	3	)	)	PUNCT
ap-1852	37	4	they	they	PRON
ap-1852	37	5	act	act	VERB
ap-1852	37	6	in	in	ADP
ap-1852	37	7	an	an	DET
ap-1852	37	8	auxiliary	auxiliary	ADJ
ap-1852	37	9	fock	fock	ADJ
ap-1852	37	10	space	space	NOUN
ap-1852	37	11	f	f	PROPN
ap-1852	37	12	spanned	span	VERB
ap-1852	37	13	by	by	ADP
ap-1852	37	14	normalized	normalize	VERB
ap-1852	37	15	vectors	vector	NOUN
ap-1852	37	16	|n1	|n1	VERB
ap-1852	37	17	,	,	PUNCT
ap-1852	37	18	n2	n2	ADJ
ap-1852	37	19	〉	〉	NOUN
ap-1852	37	20	=	=	SYM
ap-1852	37	21	(	(	PUNCT
ap-1852	37	22	a†1)n1(a†2)n2	a†1)n1(a†2)n2	ADJ
ap-1852	37	23	√	√	PROPN
ap-1852	37	24	n1!n2	n1!n2	PROPN
ap-1852	37	25	!	!	PUNCT
ap-1852	38	1	|0	|0	NUM
ap-1852	39	1	〉	〉	PROPN
ap-1852	39	2	.	.	PUNCT
ap-1852	40	1	(	(	PUNCT
ap-1852	40	2	4	4	X
ap-1852	40	3	)	)	PUNCT
ap-1852	40	4	here	here	ADV
ap-1852	40	5	|0	|0	NUM
ap-1852	40	6	〉	〉	PROPN
ap-1852	40	7	≡	≡	PROPN
ap-1852	40	8	|0	|0	NUM
ap-1852	40	9	,	,	PUNCT
ap-1852	40	10	0	0	NUM
ap-1852	40	11	〉	〉	PROPN
ap-1852	40	12	denotes	denote	VERB
ap-1852	40	13	the	the	DET
ap-1852	40	14	normalized	normalized	ADJ
ap-1852	40	15	vacuum	vacuum	NOUN
ap-1852	40	16	state	state	NOUN
ap-1852	40	17	:	:	PUNCT
ap-1852	40	18	a1|0	a1|0	PROPN
ap-1852	40	19	〉	〉	NOUN
ap-1852	40	20	=	=	SYM
ap-1852	40	21	a2|0	a2|0	NOUN
ap-1852	40	22	〉	〉	NOUN
ap-1852	40	23	=	=	SYM
ap-1852	40	24	0	0	NUM
ap-1852	40	25	.	.	PUNCT
ap-1852	41	1	the	the	DET
ap-1852	41	2	noncommutative	noncommutative	PROPN
ap-1852	41	3	coordinates	coordinate	NOUN
ap-1852	41	4	xj	xj	PROPN
ap-1852	41	5	,	,	PUNCT
ap-1852	41	6	j	j	PROPN
ap-1852	41	7	=	=	SYM
ap-1852	41	8	1	1	NUM
ap-1852	41	9	,	,	PUNCT
ap-1852	41	10	2	2	NUM
ap-1852	41	11	,	,	PUNCT
ap-1852	41	12	3	3	NUM
ap-1852	41	13	,	,	PUNCT
ap-1852	41	14	in	in	ADP
ap-1852	41	15	the	the	DET
ap-1852	41	16	space	space	NOUN
ap-1852	41	17	r3	r3	PROPN
ap-1852	41	18	λ	λ	NOUN
ap-1852	41	19	satisfying	satisfy	VERB
ap-1852	41	20	(	(	PUNCT
ap-1852	41	21	2	2	NUM
ap-1852	41	22	)	)	PUNCT
ap-1852	41	23	are	be	AUX
ap-1852	41	24	given	give	VERB
ap-1852	41	25	as	as	ADP
ap-1852	41	26	xj	xj	PROPN
ap-1852	41	27	=	=	SYM
ap-1852	41	28	λa+σja	λa+σja	PROPN
ap-1852	41	29	≡	≡	PROPN
ap-1852	41	30	λσjαβa	λσjαβa	PROPN
ap-1852	41	31	†	†	PROPN
ap-1852	41	32	αaβ	αaβ	PROPN
ap-1852	41	33	,	,	PUNCT
ap-1852	41	34	j	j	PROPN
ap-1852	42	1	=	=	SYM
ap-1852	42	2	1	1	NUM
ap-1852	42	3	,	,	PUNCT
ap-1852	42	4	2	2	NUM
ap-1852	42	5	,	,	PUNCT
ap-1852	42	6	3	3	NUM
ap-1852	42	7	,	,	PUNCT
ap-1852	42	8	(	(	PUNCT
ap-1852	42	9	5	5	NUM
ap-1852	42	10	)	)	PUNCT
ap-1852	42	11	where	where	SCONJ
ap-1852	42	12	λ	λ	PROPN
ap-1852	42	13	is	be	AUX
ap-1852	42	14	the	the	DET
ap-1852	42	15	universal	universal	ADJ
ap-1852	42	16	length	length	NOUN
ap-1852	42	17	parameter	parameter	NOUN
ap-1852	42	18	and	and	CCONJ
ap-1852	42	19	σj	σj	NOUN
ap-1852	42	20	are	be	AUX
ap-1852	42	21	pauli	pauli	PROPN
ap-1852	42	22	matrices	matrix	NOUN
ap-1852	42	23	.	.	PUNCT
ap-1852	43	1	the	the	DET
ap-1852	43	2	operator	operator	NOUN
ap-1852	43	3	that	that	PRON
ap-1852	43	4	approximates	approximate	VERB
ap-1852	43	5	the	the	DET
ap-1852	43	6	nc	nc	PROPN
ap-1852	43	7	analog	analog	NOUN
ap-1852	43	8	of	of	ADP
ap-1852	43	9	the	the	DET
ap-1852	43	10	euclidean	euclidean	ADJ
ap-1852	43	11	distance	distance	NOUN
ap-1852	43	12	from	from	ADP
ap-1852	43	13	the	the	DET
ap-1852	43	14	origin	origin	NOUN
ap-1852	43	15	is	be	AUX
ap-1852	43	16	r	r	NOUN
ap-1852	43	17	=	=	SYM
ap-1852	43	18	ρ+	ρ+	NUM
ap-1852	43	19	λ	λ	PROPN
ap-1852	43	20	,	,	PUNCT
ap-1852	43	21	ρ	ρ	PROPN
ap-1852	43	22	=	=	SYM
ap-1852	43	23	λn	λn	NOUN
ap-1852	43	24	,	,	PUNCT
ap-1852	43	25	n	n	NOUN
ap-1852	43	26	=	=	PUNCT
ap-1852	43	27	a†αaα	a†αaα	PROPN
ap-1852	43	28	.	.	PUNCT
ap-1852	44	1	(	(	PUNCT
ap-1852	44	2	6	6	X
ap-1852	44	3	)	)	PUNCT
ap-1852	44	4	it	it	PRON
ap-1852	44	5	can	can	AUX
ap-1852	44	6	easily	easily	ADV
ap-1852	44	7	be	be	AUX
ap-1852	44	8	shown	show	VERB
ap-1852	44	9	that	that	SCONJ
ap-1852	44	10	[	[	X
ap-1852	44	11	xi	xi	X
ap-1852	44	12	,	,	PUNCT
ap-1852	44	13	r	r	X
ap-1852	44	14	]	]	X
ap-1852	44	15	=	=	SYM
ap-1852	44	16	0	0	NUM
ap-1852	44	17	,	,	PUNCT
ap-1852	44	18	and	and	CCONJ
ap-1852	44	19	r2	r2	PROPN
ap-1852	45	1	−	−	PROPN
ap-1852	45	2	x2	x2	INTJ
ap-1852	45	3	j	j	PROPN
ap-1852	45	4	=	=	SYM
ap-1852	45	5	λ2	λ2	PROPN
ap-1852	45	6	.	.	PUNCT
ap-1852	46	1	a	a	DET
ap-1852	46	2	strong	strong	ADJ
ap-1852	46	3	argument	argument	NOUN
ap-1852	46	4	supporting	support	VERB
ap-1852	46	5	the	the	DET
ap-1852	46	6	exceptional	exceptional	ADJ
ap-1852	46	7	role	role	NOUN
ap-1852	46	8	of	of	ADP
ap-1852	46	9	r	r	NOUN
ap-1852	46	10	will	will	AUX
ap-1852	46	11	be	be	AUX
ap-1852	46	12	given	give	VERB
ap-1852	46	13	later	later	ADV
ap-1852	46	14	.	.	PUNCT
ap-1852	47	1	2.2	2.2	NUM
ap-1852	47	2	.	.	PUNCT
ap-1852	48	1	hilbert	hilbert	PROPN
ap-1852	48	2	space	space	PROPN
ap-1852	48	3	hλ	hλ	PROPN
ap-1852	48	4	of	of	ADP
ap-1852	48	5	nc	nc	PROPN
ap-1852	48	6	wave	wave	PROPN
ap-1852	48	7	functions	function	NOUN
ap-1852	48	8	let	let	VERB
ap-1852	48	9	us	we	PRON
ap-1852	48	10	consider	consider	VERB
ap-1852	48	11	a	a	DET
ap-1852	48	12	linear	linear	ADJ
ap-1852	48	13	space	space	NOUN
ap-1852	48	14	spanned	span	VERB
ap-1852	48	15	by	by	ADP
ap-1852	48	16	normal	normal	ADJ
ap-1852	48	17	ordered	order	VERB
ap-1852	48	18	polynomials	polynomial	NOUN
ap-1852	48	19	containing	contain	VERB
ap-1852	48	20	the	the	DET
ap-1852	48	21	same	same	ADJ
ap-1852	48	22	number	number	NOUN
ap-1852	48	23	of	of	ADP
ap-1852	48	24	creation	creation	NOUN
ap-1852	48	25	and	and	CCONJ
ap-1852	48	26	annihilation	annihilation	NOUN
ap-1852	48	27	operators	operator	NOUN
ap-1852	48	28	:	:	PUNCT
ap-1852	48	29	ψ	ψ	X
ap-1852	48	30	=	=	PUNCT
ap-1852	48	31	(	(	PUNCT
ap-1852	48	32	a†1)m1(a†2)m2(a1)n1(a2)n2	a†1)m1(a†2)m2(a1)n1(a2)n2	ADJ
ap-1852	48	33	,	,	PUNCT
ap-1852	48	34	m1	m1	PROPN
ap-1852	48	35	+	+	PROPN
ap-1852	48	36	m2	m2	PROPN
ap-1852	48	37	=	=	SYM
ap-1852	48	38	n1	n1	PROPN
ap-1852	48	39	+	+	CCONJ
ap-1852	48	40	n2	n2	ADJ
ap-1852	48	41	.	.	PUNCT
ap-1852	49	1	(	(	PUNCT
ap-1852	49	2	7	7	X
ap-1852	49	3	)	)	PUNCT
ap-1852	49	4	hλ	hλ	NOUN
ap-1852	49	5	is	be	AUX
ap-1852	49	6	our	our	PRON
ap-1852	49	7	denotation	denotation	NOUN
ap-1852	49	8	for	for	ADP
ap-1852	49	9	the	the	DET
ap-1852	49	10	hilbert	hilbert	NOUN
ap-1852	49	11	space	space	NOUN
ap-1852	49	12	of	of	ADP
ap-1852	49	13	linear	linear	PROPN
ap-1852	49	14	combinations	combination	NOUN
ap-1852	49	15	of	of	ADP
ap-1852	49	16	functions	function	NOUN
ap-1852	49	17	(	(	PUNCT
ap-1852	49	18	7	7	NUM
ap-1852	49	19	)	)	PUNCT
ap-1852	49	20	closed	close	VERB
ap-1852	49	21	with	with	ADP
ap-1852	49	22	respect	respect	NOUN
ap-1852	49	23	to	to	ADP
ap-1852	49	24	the	the	DET
ap-1852	49	25	norm	norm	NOUN
ap-1852	49	26	‖ψ‖2	‖ψ‖2	PUNCT
ap-1852	49	27	=	=	NOUN
ap-1852	49	28	4πλ3	4πλ3	NUM
ap-1852	49	29	tr	tr	VERB
ap-1852	49	30	[	[	PUNCT
ap-1852	49	31	(	(	PUNCT
ap-1852	49	32	n+1)ψ†ψ	n+1)ψ†ψ	X
ap-1852	49	33	]	]	PUNCT
ap-1852	49	34	=	=	SYM
ap-1852	49	35	4πλ2	4πλ2	NUM
ap-1852	49	36	tr[rψ†ψ	tr[rψ†ψ	NOUN
ap-1852	49	37	]	]	PUNCT
ap-1852	49	38	.	.	PUNCT
ap-1852	50	1	(	(	PUNCT
ap-1852	50	2	8)	8)	NUM
ap-1852	50	3	the	the	DET
ap-1852	50	4	rotationally	rotationally	ADV
ap-1852	50	5	invariant	invariant	ADJ
ap-1852	50	6	weight	weight	NOUN
ap-1852	50	7	w(r	w(r	PROPN
ap-1852	50	8	)	)	PUNCT
ap-1852	51	1	=	=	PUNCT
ap-1852	51	2	4πλ2r	4πλ2r	NUM
ap-1852	51	3	is	be	AUX
ap-1852	51	4	determined	determine	VERB
ap-1852	51	5	by	by	ADP
ap-1852	51	6	the	the	DET
ap-1852	51	7	requirement	requirement	NOUN
ap-1852	51	8	that	that	SCONJ
ap-1852	51	9	a	a	DET
ap-1852	51	10	ball	ball	NOUN
ap-1852	51	11	in	in	ADP
ap-1852	51	12	r3	r3	PROPN
ap-1852	51	13	λ	λ	PROPN
ap-1852	51	14	with	with	ADP
ap-1852	51	15	radius	radius	NOUN
ap-1852	51	16	r	r	NOUN
ap-1852	51	17	=	=	PRON
ap-1852	51	18	λ(n	λ(n	NOUN
ap-1852	51	19	+1	+1	X
ap-1852	51	20	)	)	PUNCT
ap-1852	51	21	should	should	AUX
ap-1852	51	22	possess	possess	VERB
ap-1852	51	23	a	a	DET
ap-1852	51	24	standard	standard	ADJ
ap-1852	51	25	volume	volume	NOUN
ap-1852	51	26	in	in	ADP
ap-1852	51	27	the	the	DET
ap-1852	51	28	limit	limit	NOUN
ap-1852	52	1	r	r	NOUN
ap-1852	52	2	→∞.	→∞.	NOUN
ap-1852	53	1	it	it	PRON
ap-1852	53	2	can	can	AUX
ap-1852	53	3	be	be	AUX
ap-1852	53	4	shown	show	VERB
ap-1852	53	5	that	that	SCONJ
ap-1852	53	6	the	the	DET
ap-1852	53	7	chosen	choose	VERB
ap-1852	53	8	weight	weight	NOUN
ap-1852	53	9	w(r	w(r	PROPN
ap-1852	53	10	)	)	PUNCT
ap-1852	53	11	guarantees	guarantee	VERB
ap-1852	53	12	that	that	SCONJ
ap-1852	53	13	the	the	DET
ap-1852	53	14	ball	ball	NOUN
ap-1852	53	15	in	in	ADP
ap-1852	53	16	question	question	NOUN
ap-1852	53	17	has	have	VERB
ap-1852	53	18	the	the	DET
ap-1852	53	19	volume	volume	NOUN
ap-1852	53	20	vr	vr	NOUN
ap-1852	53	21	=	=	PUNCT
ap-1852	53	22	4π	4π	NUM
ap-1852	53	23	3	3	NUM
ap-1852	53	24	r	r	NOUN
ap-1852	53	25	3	3	NUM
ap-1852	53	26	+	+	CCONJ
ap-1852	53	27	o(λ	o(λ	PROPN
ap-1852	53	28	)	)	PUNCT
ap-1852	53	29	.	.	PUNCT
ap-1852	54	1	remark	remark	PROPN
ap-1852	54	2	.	.	PUNCT
ap-1852	55	1	the	the	DET
ap-1852	55	2	weighted	weighted	ADJ
ap-1852	55	3	trace	trace	NOUN
ap-1852	55	4	tr[w(r	tr[w(r	PROPN
ap-1852	55	5	)	)	PUNCT
ap-1852	55	6	.	.	PUNCT
ap-1852	55	7	.	.	PUNCT
ap-1852	55	8	.	.	PUNCT
ap-1852	55	9	]	]	PUNCT
ap-1852	55	10	with	with	ADP
ap-1852	55	11	w(r	w(r	PROPN
ap-1852	55	12	)	)	PUNCT
ap-1852	56	1	=	=	PUNCT
ap-1852	57	1	4πλ2r	4πλ2r	NUM
ap-1852	57	2	goes	go	VERB
ap-1852	57	3	to	to	ADP
ap-1852	57	4	the	the	DET
ap-1852	57	5	usual	usual	ADJ
ap-1852	57	6	volume	volume	NOUN
ap-1852	57	7	integral∫	integral∫	NOUN
ap-1852	57	8	d3	d3	PROPN
ap-1852	57	9	~	~	NOUN
ap-1852	57	10	x	x	X
ap-1852	57	11	.	.	PUNCT
ap-1852	57	12	.	.	PUNCT
ap-1852	57	13	.	.	PUNCT
ap-1852	58	1	at	at	ADP
ap-1852	58	2	large	large	ADJ
ap-1852	58	3	distances	distance	NOUN
ap-1852	58	4	.	.	PUNCT
ap-1852	59	1	the	the	DET
ap-1852	59	2	3d	3d	PROPN
ap-1852	59	3	non	non	ADJ
ap-1852	59	4	-	-	ADJ
ap-1852	59	5	commutative	commutative	ADJ
ap-1852	59	6	space	space	NOUN
ap-1852	59	7	proposed	propose	VERB
ap-1852	59	8	in	in	ADP
ap-1852	59	9	[	[	X
ap-1852	59	10	11	11	NUM
ap-1852	59	11	]	]	PUNCT
ap-1852	59	12	corresponds	correspond	VERB
ap-1852	59	13	to	to	ADP
ap-1852	59	14	the	the	DET
ap-1852	59	15	choice	choice	NOUN
ap-1852	59	16	w(r̂	w(r̂	ADJ
ap-1852	59	17	)	)	PUNCT
ap-1852	59	18	=	=	SYM
ap-1852	60	1	const	const	NOUN
ap-1852	61	1	and	and	CCONJ
ap-1852	61	2	at	at	ADP
ap-1852	61	3	large	large	ADJ
ap-1852	61	4	distances	distance	NOUN
ap-1852	61	5	does	do	AUX
ap-1852	61	6	not	not	PART
ap-1852	61	7	correspond	correspond	VERB
ap-1852	61	8	to	to	ADP
ap-1852	61	9	the	the	DET
ap-1852	61	10	flat	flat	ADJ
ap-1852	61	11	space	space	NOUN
ap-1852	61	12	r3	r3	NOUN
ap-1852	61	13	.	.	PUNCT
ap-1852	62	1	2.3	2.3	NUM
ap-1852	62	2	.	.	PUNCT
ap-1852	63	1	orbital	orbital	ADJ
ap-1852	63	2	momentum	momentum	NOUN
ap-1852	63	3	in	in	ADP
ap-1852	63	4	hλ	hλ	NOUN
ap-1852	63	5	in	in	ADP
ap-1852	63	6	hλ	hλ	ADP
ap-1852	63	7	we	we	PRON
ap-1852	63	8	define	define	VERB
ap-1852	63	9	orbital	orbital	ADJ
ap-1852	63	10	momentum	momentum	NOUN
ap-1852	63	11	operators	operator	NOUN
ap-1852	63	12	,	,	PUNCT
ap-1852	63	13	the	the	DET
ap-1852	63	14	generators	generator	NOUN
ap-1852	63	15	of	of	ADP
ap-1852	63	16	rotations	rotation	NOUN
ap-1852	63	17	lj	lj	INTJ
ap-1852	63	18	,	,	PUNCT
ap-1852	63	19	as	as	SCONJ
ap-1852	63	20	follows	follow	VERB
ap-1852	63	21	:	:	PUNCT
ap-1852	63	22	ljψ	ljψ	NOUN
ap-1852	63	23	=	=	SYM
ap-1852	63	24	1	1	NUM
ap-1852	63	25	2[a+σja	2[a+σja	NUM
ap-1852	63	26	,	,	PUNCT
ap-1852	63	27	ψ	ψ	X
ap-1852	63	28	]	]	PUNCT
ap-1852	63	29	,	,	PUNCT
ap-1852	63	30	j	j	PROPN
ap-1852	63	31	=	=	SYM
ap-1852	63	32	1	1	NUM
ap-1852	63	33	,	,	PUNCT
ap-1852	63	34	2	2	NUM
ap-1852	63	35	,	,	PUNCT
ap-1852	63	36	3	3	NUM
ap-1852	63	37	.	.	PUNCT
ap-1852	64	1	(	(	PUNCT
ap-1852	64	2	9	9	X
ap-1852	64	3	)	)	PUNCT
ap-1852	64	4	they	they	PRON
ap-1852	64	5	are	be	AUX
ap-1852	64	6	hermitian	hermitian	ADJ
ap-1852	64	7	(	(	PUNCT
ap-1852	64	8	self	self	NOUN
ap-1852	64	9	-	-	PUNCT
ap-1852	64	10	adjoint	adjoint	NOUN
ap-1852	64	11	)	)	PUNCT
ap-1852	64	12	operators	operator	NOUN
ap-1852	64	13	in	in	ADP
ap-1852	64	14	hλ	hλ	NOUN
ap-1852	64	15	and	and	CCONJ
ap-1852	64	16	obey	obey	VERB
ap-1852	64	17	the	the	DET
ap-1852	64	18	standard	standard	ADJ
ap-1852	64	19	commutation	commutation	NOUN
ap-1852	64	20	relations	relation	NOUN
ap-1852	65	1	[	[	X
ap-1852	65	2	li	li	X
ap-1852	65	3	,	,	PUNCT
ap-1852	65	4	lj	lj	PROPN
ap-1852	65	5	]	]	X
ap-1852	65	6	ψ	ψ	X
ap-1852	65	7	≡	≡	PROPN
ap-1852	65	8	(	(	PUNCT
ap-1852	65	9	lilj	lilj	VERB
ap-1852	65	10	−	−	PROPN
ap-1852	65	11	ljli)ψ	ljli)ψ	PROPN
ap-1852	65	12	=	=	PUNCT
ap-1852	65	13	iεijklkψ	iεijklkψ	ADJ
ap-1852	65	14	.	.	PUNCT
ap-1852	66	1	(	(	PUNCT
ap-1852	66	2	10	10	NUM
ap-1852	66	3	)	)	PUNCT
ap-1852	66	4	the	the	DET
ap-1852	66	5	standard	standard	ADJ
ap-1852	66	6	eigenfunctions	eigenfunction	NOUN
ap-1852	66	7	ψjm	ψjm	NOUN
ap-1852	66	8	,	,	PUNCT
ap-1852	66	9	j	j	PROPN
ap-1852	66	10	=	=	SYM
ap-1852	66	11	0	0	NUM
ap-1852	66	12	,	,	PUNCT
ap-1852	66	13	1	1	NUM
ap-1852	66	14	,	,	PUNCT
ap-1852	66	15	2	2	NUM
ap-1852	66	16	,	,	PUNCT
ap-1852	66	17	.	.	PUNCT
ap-1852	66	18	.	.	PUNCT
ap-1852	66	19	.	.	PUNCT
ap-1852	67	1	,	,	PUNCT
ap-1852	67	2	,	,	PUNCT
ap-1852	67	3	m	m	VERB
ap-1852	67	4	=	=	ADJ
ap-1852	67	5	−j	−j	NOUN
ap-1852	67	6	,	,	PUNCT
ap-1852	67	7	.	.	PUNCT
ap-1852	67	8	.	.	PUNCT
ap-1852	67	9	.	.	PUNCT
ap-1852	68	1	,	,	PUNCT
ap-1852	68	2	+	+	PROPN
ap-1852	68	3	j	j	NOUN
ap-1852	68	4	,	,	PUNCT
ap-1852	68	5	satisfying	satisfy	VERB
ap-1852	68	6	l2	l2	NOUN
ap-1852	68	7	iψjm	iψjm	NOUN
ap-1852	68	8	=	=	SYM
ap-1852	68	9	j(j	j(j	PROPN
ap-1852	68	10	+	+	CCONJ
ap-1852	68	11	1)ψjm	1)ψjm	NUM
ap-1852	68	12	,	,	PUNCT
ap-1852	68	13	l3ψjm	l3ψjm	NOUN
ap-1852	68	14	=	=	SYM
ap-1852	68	15	mψjm	mψjm	NOUN
ap-1852	68	16	,	,	PUNCT
ap-1852	68	17	(	(	PUNCT
ap-1852	68	18	11	11	NUM
ap-1852	68	19	)	)	PUNCT
ap-1852	68	20	are	be	AUX
ap-1852	68	21	given	give	VERB
ap-1852	68	22	by	by	ADP
ap-1852	68	23	the	the	DET
ap-1852	68	24	formula	formula	NOUN
ap-1852	68	25	ψjm	ψjm	NOUN
ap-1852	68	26	=	=	SYM
ap-1852	68	27	∑	∑	PUNCT
ap-1852	68	28	(	(	PUNCT
ap-1852	68	29	jm	jm	NOUN
ap-1852	68	30	)	)	PUNCT
ap-1852	68	31	(	(	PUNCT
ap-1852	68	32	a†1)m1(a†2)m2	a†1)m1(a†2)m2	PROPN
ap-1852	68	33	m1!m2	m1!m2	NOUN
ap-1852	68	34	!	!	PUNCT
ap-1852	69	1	rj(%)a	rj(%)a	VERB
ap-1852	70	1	n1	n1	NOUN
ap-1852	70	2	1	1	NUM
ap-1852	70	3	(	(	PUNCT
ap-1852	70	4	−a2)n2	−a2)n2	VERB
ap-1852	70	5	n1!n2	n1!n2	ADJ
ap-1852	70	6	!	!	PUNCT
ap-1852	70	7	,	,	PUNCT
ap-1852	70	8	(	(	PUNCT
ap-1852	70	9	12	12	NUM
ap-1852	70	10	)	)	PUNCT
ap-1852	71	1	where	where	SCONJ
ap-1852	71	2	%	%	NOUN
ap-1852	71	3	=	=	PUNCT
ap-1852	71	4	λa†αaα	λa†αaα	NOUN
ap-1852	71	5	=	=	NOUN
ap-1852	71	6	λn	λn	NOUN
ap-1852	71	7	.	.	PUNCT
ap-1852	72	1	the	the	DET
ap-1852	72	2	summation	summation	NOUN
ap-1852	72	3	goes	go	VERB
ap-1852	72	4	over	over	ADP
ap-1852	72	5	all	all	DET
ap-1852	72	6	nonnegative	nonnegative	ADJ
ap-1852	72	7	integers	integer	NOUN
ap-1852	72	8	satisfying	satisfy	VERB
ap-1852	72	9	m1	m1	PROPN
ap-1852	72	10	+	+	PROPN
ap-1852	72	11	m2	m2	PROPN
ap-1852	72	12	=	=	SYM
ap-1852	72	13	n1	n1	PROPN
ap-1852	72	14	+	+	CCONJ
ap-1852	72	15	n2	n2	ADJ
ap-1852	72	16	=	=	SYM
ap-1852	72	17	j	j	PROPN
ap-1852	72	18	,	,	PUNCT
ap-1852	72	19	m1	m1	PROPN
ap-1852	72	20	−	−	PROPN
ap-1852	72	21	m2	m2	PROPN
ap-1852	72	22	−	−	PROPN
ap-1852	72	23	n1	n1	PROPN
ap-1852	72	24	+	+	CCONJ
ap-1852	72	25	n2	n2	ADJ
ap-1852	72	26	=	=	SYM
ap-1852	72	27	2	2	NUM
ap-1852	72	28	m.	m.	NOUN
ap-1852	72	29	for	for	ADP
ap-1852	72	30	any	any	DET
ap-1852	72	31	fixed	fix	VERB
ap-1852	72	32	rj(%	rj(%	NOUN
ap-1852	72	33	)	)	PUNCT
ap-1852	72	34	equation	equation	NOUN
ap-1852	72	35	(	(	PUNCT
ap-1852	72	36	12	12	NUM
ap-1852	72	37	)	)	PUNCT
ap-1852	72	38	defines	define	VERB
ap-1852	72	39	a	a	DET
ap-1852	72	40	representation	representation	NOUN
ap-1852	72	41	space	space	NOUN
ap-1852	72	42	for	for	ADP
ap-1852	72	43	a	a	DET
ap-1852	72	44	unitary	unitary	ADJ
ap-1852	72	45	irreducible	irreducible	ADJ
ap-1852	72	46	representation	representation	NOUN
ap-1852	72	47	with	with	ADP
ap-1852	72	48	spin	spin	NOUN
ap-1852	72	49	j.	j.	PROPN
ap-1852	72	50	2.4	2.4	NUM
ap-1852	72	51	.	.	PUNCT
ap-1852	73	1	the	the	DET
ap-1852	73	2	nc	nc	PROPN
ap-1852	73	3	analog	analog	PROPN
ap-1852	73	4	of	of	ADP
ap-1852	73	5	laplace	laplace	NOUN
ap-1852	73	6	operator	operator	NOUN
ap-1852	73	7	in	in	ADP
ap-1852	73	8	hλ	hλ	ADP
ap-1852	73	9	we	we	PRON
ap-1852	73	10	postulate	postulate	VERB
ap-1852	73	11	the	the	DET
ap-1852	73	12	nc	nc	PROPN
ap-1852	73	13	analog	analog	NOUN
ap-1852	73	14	of	of	ADP
ap-1852	73	15	the	the	DET
ap-1852	73	16	usual	usual	ADJ
ap-1852	73	17	laplace	laplace	NOUN
ap-1852	73	18	operator	operator	NOUN
ap-1852	73	19	in	in	ADP
ap-1852	73	20	the	the	DET
ap-1852	73	21	form	form	NOUN
ap-1852	73	22	:	:	PUNCT
ap-1852	73	23	∆λψ	∆λψ	PROPN
ap-1852	73	24	=	=	SYM
ap-1852	73	25	−	−	PROPN
ap-1852	73	26	1	1	NUM
ap-1852	73	27	λr	λr	NOUN
ap-1852	73	28	[	[	PUNCT
ap-1852	73	29	a†α	a†α	PROPN
ap-1852	73	30	,	,	PUNCT
ap-1852	73	31	[	[	X
ap-1852	73	32	aα	aα	NOUN
ap-1852	73	33	,	,	PUNCT
ap-1852	73	34	ψ	ψ	X
ap-1852	73	35	]	]	X
ap-1852	73	36	]	]	PUNCT
ap-1852	74	1	=	=	SYM
ap-1852	74	2	1	1	NUM
ap-1852	74	3	λ2(n	λ2(n	X
ap-1852	74	4	+	+	NOUN
ap-1852	74	5	1	1	NUM
ap-1852	74	6	)	)	PUNCT
ap-1852	74	7	[	[	PUNCT
ap-1852	74	8	a†α	a†α	PROPN
ap-1852	74	9	,	,	PUNCT
ap-1852	74	10	[	[	X
ap-1852	74	11	aα	aα	NOUN
ap-1852	74	12	,	,	PUNCT
ap-1852	74	13	ψ	ψ	X
ap-1852	74	14	]	]	X
ap-1852	74	15	]	]	PUNCT
ap-1852	74	16	.	.	PUNCT
ap-1852	75	1	(	(	PUNCT
ap-1852	75	2	13	13	NUM
ap-1852	75	3	)	)	PUNCT
ap-1852	75	4	this	this	DET
ap-1852	75	5	choice	choice	NOUN
ap-1852	75	6	is	be	AUX
ap-1852	75	7	motivated	motivate	VERB
ap-1852	75	8	by	by	ADP
ap-1852	75	9	the	the	DET
ap-1852	75	10	following	follow	VERB
ap-1852	75	11	facts	fact	NOUN
ap-1852	75	12	:	:	PUNCT
ap-1852	75	13	(	(	PUNCT
ap-1852	75	14	1	1	NUM
ap-1852	75	15	.	.	PUNCT
ap-1852	75	16	)	)	PUNCT
ap-1852	76	1	a	a	DET
ap-1852	76	2	double	double	ADJ
ap-1852	76	3	commutator	commutator	NOUN
ap-1852	76	4	is	be	AUX
ap-1852	76	5	an	an	DET
ap-1852	76	6	analog	analog	NOUN
ap-1852	76	7	of	of	ADP
ap-1852	76	8	a	a	DET
ap-1852	76	9	second	second	ADJ
ap-1852	76	10	order	order	NOUN
ap-1852	76	11	differential	differential	NOUN
ap-1852	76	12	operator	operator	NOUN
ap-1852	76	13	;	;	PUNCT
ap-1852	76	14	(	(	PUNCT
ap-1852	76	15	2	2	NUM
ap-1852	76	16	.	.	PUNCT
ap-1852	76	17	)	)	PUNCT
ap-1852	76	18	factor	factor	NOUN
ap-1852	76	19	r−1	r−1	PROPN
ap-1852	76	20	guarantees	guarantee	VERB
ap-1852	76	21	that	that	SCONJ
ap-1852	76	22	the	the	DET
ap-1852	76	23	operator	operator	NOUN
ap-1852	76	24	∆λ	∆λ	PROPN
ap-1852	76	25	is	be	AUX
ap-1852	76	26	hermitian	hermitian	ADJ
ap-1852	76	27	(	(	PUNCT
ap-1852	76	28	self	self	NOUN
ap-1852	76	29	-	-	PUNCT
ap-1852	76	30	adjoint	adjoint	NOUN
ap-1852	76	31	)	)	PUNCT
ap-1852	76	32	in	in	ADP
ap-1852	76	33	hλ	hλ	NOUN
ap-1852	76	34	,	,	PUNCT
ap-1852	76	35	and	and	CCONJ
ap-1852	76	36	finally	finally	ADV
ap-1852	76	37	,	,	PUNCT
ap-1852	76	38	(	(	PUNCT
ap-1852	76	39	3	3	NUM
ap-1852	76	40	.	.	PUNCT
ap-1852	76	41	)	)	PUNCT
ap-1852	76	42	factors	factor	VERB
ap-1852	76	43	λ−1	λ−1	PROPN
ap-1852	76	44	or	or	CCONJ
ap-1852	76	45	λ−2	λ−2	PROPN
ap-1852	76	46	respectively	respectively	ADV
ap-1852	76	47	,	,	PUNCT
ap-1852	76	48	guarantee	guarantee	VERB
ap-1852	76	49	the	the	DET
ap-1852	76	50	correct	correct	ADJ
ap-1852	76	51	physical	physical	ADJ
ap-1852	76	52	dimension	dimension	NOUN
ap-1852	76	53	of	of	ADP
ap-1852	76	54	∆λ	∆λ	PROPN
ap-1852	76	55	and	and	CCONJ
ap-1852	76	56	its	its	PRON
ap-1852	76	57	non	non	ADJ
ap-1852	76	58	-	-	ADJ
ap-1852	76	59	trivial	trivial	ADJ
ap-1852	76	60	commutative	commutative	ADJ
ap-1852	76	61	limit	limit	NOUN
ap-1852	76	62	.	.	PUNCT
ap-1852	77	1	calculating	calculate	VERB
ap-1852	77	2	the	the	DET
ap-1852	77	3	action	action	NOUN
ap-1852	77	4	of	of	ADP
ap-1852	77	5	(	(	PUNCT
ap-1852	77	6	13	13	NUM
ap-1852	77	7	)	)	PUNCT
ap-1852	77	8	on	on	ADP
ap-1852	77	9	ψjm	ψjm	NOUN
ap-1852	77	10	given	give	VERB
ap-1852	77	11	in	in	ADP
ap-1852	77	12	(	(	PUNCT
ap-1852	77	13	12	12	NUM
ap-1852	77	14	)	)	PUNCT
ap-1852	77	15	we	we	PRON
ap-1852	77	16	can	can	AUX
ap-1852	77	17	check	check	VERB
ap-1852	77	18	whether	whether	SCONJ
ap-1852	77	19	the	the	DET
ap-1852	77	20	postulate	postulate	NOUN
ap-1852	77	21	(	(	PUNCT
ap-1852	77	22	13	13	NUM
ap-1852	77	23	)	)	PUNCT
ap-1852	77	24	is	be	AUX
ap-1852	77	25	a	a	DET
ap-1852	77	26	reasonable	reasonable	ADJ
ap-1852	77	27	choice	choice	NOUN
ap-1852	77	28	.	.	PUNCT
ap-1852	78	1	first	first	ADV
ap-1852	78	2	,	,	PUNCT
ap-1852	78	3	we	we	PRON
ap-1852	78	4	represent	represent	VERB
ap-1852	78	5	the	the	DET
ap-1852	78	6	operator	operator	NOUN
ap-1852	78	7	rj(%	rj(%	NOUN
ap-1852	78	8	)	)	PUNCT
ap-1852	78	9	in	in	ADP
ap-1852	78	10	(	(	PUNCT
ap-1852	78	11	12	12	NUM
ap-1852	78	12	)	)	PUNCT
ap-1852	78	13	as	as	ADP
ap-1852	78	14	a	a	DET
ap-1852	78	15	normal	normal	ADJ
ap-1852	78	16	ordered	order	VERB
ap-1852	78	17	form	form	NOUN
ap-1852	78	18	of	of	ADP
ap-1852	78	19	an	an	DET
ap-1852	78	20	analytic	analytic	ADJ
ap-1852	78	21	function	function	NOUN
ap-1852	78	22	rj(%	rj(%	NOUN
ap-1852	78	23	):	):	PUNCT
ap-1852	78	24	rj(%	rj(%	NOUN
ap-1852	78	25	)	)	PUNCT
ap-1852	79	1	=	=	PRON
ap-1852	79	2	:	:	PUNCT
ap-1852	79	3	rj(%	rj(%	NOUN
ap-1852	79	4	):	):	PUNCT
ap-1852	80	1	=	=	PUNCT
ap-1852	80	2	∑	∑	PUNCT
ap-1852	80	3	k	k	PROPN
ap-1852	80	4	cjk:%k	cjk:%k	PROPN
ap-1852	80	5	:	:	PUNCT
ap-1852	80	6	=	=	SYM
ap-1852	80	7	∑	∑	PUNCT
ap-1852	80	8	k	k	PROPN
ap-1852	80	9	cjkλ	cjkλ	PROPN
ap-1852	80	10	k	k	PROPN
ap-1852	80	11	n	n	PROPN
ap-1852	80	12	!	!	PUNCT
ap-1852	80	13	(	(	PUNCT
ap-1852	80	14	n	n	CCONJ
ap-1852	80	15	−	−	PROPN
ap-1852	80	16	k	k	NOUN
ap-1852	80	17	)	)	PUNCT
ap-1852	80	18	!	!	PUNCT
ap-1852	81	1	(	(	PUNCT
ap-1852	81	2	14	14	NUM
ap-1852	81	3	)	)	PUNCT
ap-1852	81	4	428	428	NUM
ap-1852	81	5	vol	vol	NOUN
ap-1852	81	6	.	.	PUNCT
ap-1852	82	1	53	53	NUM
ap-1852	82	2	no	no	NOUN
ap-1852	82	3	.	.	PUNCT
ap-1852	83	1	5/2013	5/2013	NUM
ap-1852	83	2	coulomb	coulomb	NOUN
ap-1852	83	3	scattering	scattering	NOUN
ap-1852	83	4	in	in	ADP
ap-1852	83	5	non	non	ADJ
ap-1852	83	6	-	-	ADJ
ap-1852	83	7	commutative	commutative	ADJ
ap-1852	83	8	quantum	quantum	ADJ
ap-1852	83	9	mechanics	mechanic	NOUN
ap-1852	83	10	the	the	DET
ap-1852	83	11	last	last	ADJ
ap-1852	83	12	equality	equality	NOUN
ap-1852	83	13	follows	follow	VERB
ap-1852	83	14	from	from	ADP
ap-1852	83	15	the	the	DET
ap-1852	83	16	formula	formula	NOUN
ap-1852	83	17	:	:	PUNCT
ap-1852	83	18	nk:|n1	nk:|n1	NOUN
ap-1852	83	19	,	,	PUNCT
ap-1852	83	20	n2	n2	ADJ
ap-1852	83	21	〉	〉	NOUN
ap-1852	83	22	=	=	SYM
ap-1852	83	23	n	n	X
ap-1852	83	24	!	!	PUNCT
ap-1852	84	1	(	(	PUNCT
ap-1852	84	2	n−	n−	NOUN
ap-1852	84	3	k	k	NOUN
ap-1852	84	4	)	)	PUNCT
ap-1852	84	5	!	!	PUNCT
ap-1852	85	1	|n1	|n1	PROPN
ap-1852	85	2	,	,	PUNCT
ap-1852	85	3	n2	n2	PROPN
ap-1852	85	4	〉	〉	PROPN
ap-1852	85	5	,	,	PUNCT
ap-1852	85	6	n	n	NOUN
ap-1852	85	7	=	=	SYM
ap-1852	85	8	n1	n1	PROPN
ap-1852	85	9	+	+	CCONJ
ap-1852	85	10	n2	n2	ADJ
ap-1852	85	11	(	(	PUNCT
ap-1852	85	12	15	15	NUM
ap-1852	85	13	)	)	PUNCT
ap-1852	85	14	(	(	PUNCT
ap-1852	85	15	which	which	PRON
ap-1852	85	16	can	can	AUX
ap-1852	85	17	be	be	AUX
ap-1852	85	18	proved	prove	VERB
ap-1852	85	19	by	by	ADP
ap-1852	85	20	induction	induction	NOUN
ap-1852	85	21	in	in	ADP
ap-1852	85	22	k	k	PROPN
ap-1852	85	23	)	)	PUNCT
ap-1852	85	24	.	.	PUNCT
ap-1852	86	1	now	now	ADV
ap-1852	86	2	we	we	PRON
ap-1852	86	3	will	will	AUX
ap-1852	86	4	use	use	VERB
ap-1852	86	5	the	the	DET
ap-1852	86	6	following	follow	VERB
ap-1852	86	7	commutation	commutation	NOUN
ap-1852	86	8	relations	relation	NOUN
ap-1852	87	1	[	[	X
ap-1852	87	2	a†α	a†α	X
ap-1852	87	3	,	,	PUNCT
ap-1852	87	4	:	:	PUNCT
ap-1852	87	5	nk	nk	PROPN
ap-1852	87	6	:]	:]	NOUN
ap-1852	87	7	=	=	NOUN
ap-1852	87	8	−ka†α	−ka†α	NOUN
ap-1852	87	9	:	:	PUNCT
ap-1852	87	10	nk−1:⇒	nk−1:⇒	X
ap-1852	88	1	[	[	X
ap-1852	88	2	a†α	a†α	X
ap-1852	88	3	,	,	PUNCT
ap-1852	88	4	:	:	PUNCT
ap-1852	88	5	r	r	X
ap-1852	88	6	:]	:]	NOUN
ap-1852	88	7	=	=	NOUN
ap-1852	88	8	−λa†α	−λa†α	NOUN
ap-1852	88	9	:	:	PUNCT
ap-1852	88	10	r′	r′	NUM
ap-1852	88	11	:	:	PUNCT
ap-1852	88	12	,	,	PUNCT
ap-1852	88	13	[	[	X
ap-1852	88	14	aα	aα	NOUN
ap-1852	88	15	,	,	PUNCT
ap-1852	88	16	:	:	PUNCT
ap-1852	88	17	nk	nk	PROPN
ap-1852	88	18	:]	:]	PROPN
ap-1852	88	19	=	=	SYM
ap-1852	88	20	k	k	NOUN
ap-1852	88	21	:	:	PUNCT
ap-1852	88	22	nk−1	nk−1	ADJ
ap-1852	88	23	:	:	PUNCT
ap-1852	88	24	aα	aα	NOUN
ap-1852	88	25	⇒	⇒	NOUN
ap-1852	89	1	[	[	X
ap-1852	89	2	aα	aα	NOUN
ap-1852	89	3	,	,	PUNCT
ap-1852	89	4	:	:	PUNCT
ap-1852	89	5	r	r	X
ap-1852	89	6	:]	:]	SYM
ap-1852	89	7	=	=	SYM
ap-1852	89	8	λ	λ	NOUN
ap-1852	89	9	:	:	PUNCT
ap-1852	89	10	r′:aα	r′:aα	NOUN
ap-1852	89	11	,	,	PUNCT
ap-1852	89	12	(	(	PUNCT
ap-1852	89	13	16	16	NUM
ap-1852	89	14	)	)	PUNCT
ap-1852	89	15	where	where	SCONJ
ap-1852	89	16	r′	r′	PROPN
ap-1852	89	17	denotes	denote	VERB
ap-1852	89	18	the	the	DET
ap-1852	89	19	derivative	derivative	NOUN
ap-1852	89	20	of	of	ADP
ap-1852	89	21	r	r	NOUN
ap-1852	89	22	:	:	PUNCT
ap-1852	89	23	r′	r′	NOUN
ap-1852	89	24	=	=	NOUN
ap-1852	89	25	∑∞	∑∞	X
ap-1852	89	26	k=1	k=1	X
ap-1852	89	27	kck%	kck%	PROPN
ap-1852	89	28	k−1	k−1	PROPN
ap-1852	89	29	.	.	PUNCT
ap-1852	90	1	using	use	VERB
ap-1852	90	2	(	(	PUNCT
ap-1852	90	3	16	16	NUM
ap-1852	90	4	)	)	PUNCT
ap-1852	90	5	,	,	PUNCT
ap-1852	90	6	the	the	DET
ap-1852	90	7	following	follow	VERB
ap-1852	90	8	formula	formula	NOUN
ap-1852	90	9	can	can	AUX
ap-1852	90	10	be	be	AUX
ap-1852	90	11	derived	derive	VERB
ap-1852	90	12	:	:	PUNCT
ap-1852	90	13	[	[	PUNCT
ap-1852	90	14	a†α	a†α	PROPN
ap-1852	90	15	,	,	PUNCT
ap-1852	90	16	[	[	X
ap-1852	90	17	aα	aα	NOUN
ap-1852	90	18	,	,	PUNCT
ap-1852	90	19	ψ	ψ	X
ap-1852	90	20	]	]	X
ap-1852	90	21	]	]	PUNCT
ap-1852	91	1	=	=	PUNCT
ap-1852	91	2	∑	∑	PUNCT
ap-1852	91	3	(	(	PUNCT
ap-1852	91	4	jm	jm	NOUN
ap-1852	91	5	)	)	PUNCT
ap-1852	91	6	(	(	PUNCT
ap-1852	91	7	a†1)m1(a†2)m2	a†1)m1(a†2)m2	PROPN
ap-1852	91	8	m1!m2	m1!m2	PROPN
ap-1852	91	9	!	!	PUNCT
ap-1852	92	1	×	×	NOUN
ap-1852	92	2	:	:	PUNCT
ap-1852	93	1	[	[	PUNCT
ap-1852	93	2	−%r′′(%)−	−%r′′(%)−	NOUN
ap-1852	93	3	2(j	2(j	NUM
ap-1852	93	4	+	+	CCONJ
ap-1852	93	5	1)r′(%	1)r′(%	NUM
ap-1852	93	6	)	)	PUNCT
ap-1852	93	7	]	]	PUNCT
ap-1852	93	8	:	:	PUNCT
ap-1852	93	9	a	a	DET
ap-1852	93	10	n1	n1	NOUN
ap-1852	93	11	1	1	NUM
ap-1852	93	12	(	(	PUNCT
ap-1852	93	13	−a2)n2	−a2)n2	VERB
ap-1852	93	14	n1!n2	n1!n2	ADJ
ap-1852	93	15	!	!	PUNCT
ap-1852	93	16	.	.	PUNCT
ap-1852	94	1	(	(	PUNCT
ap-1852	94	2	17	17	NUM
ap-1852	94	3	)	)	PUNCT
ap-1852	94	4	where	where	SCONJ
ap-1852	94	5	r′′(%	r′′(%	NOUN
ap-1852	94	6	)	)	PUNCT
ap-1852	94	7	is	be	AUX
ap-1852	94	8	defined	define	VERB
ap-1852	94	9	as	as	ADP
ap-1852	94	10	the	the	DET
ap-1852	94	11	derivative	derivative	NOUN
ap-1852	94	12	of	of	ADP
ap-1852	94	13	r′(%	r′(%	NOUN
ap-1852	94	14	)	)	PUNCT
ap-1852	94	15	.	.	PUNCT
ap-1852	95	1	in	in	ADP
ap-1852	95	2	the	the	DET
ap-1852	95	3	commutative	commutative	ADJ
ap-1852	95	4	limit	limit	NOUN
ap-1852	95	5	λ→	λ→	PUNCT
ap-1852	95	6	0	0	NUM
ap-1852	95	7	the	the	DET
ap-1852	95	8	operator	operator	NOUN
ap-1852	95	9	%	%	NOUN
ap-1852	95	10	formally	formally	ADV
ap-1852	95	11	reduces	reduce	VERB
ap-1852	95	12	to	to	ADP
ap-1852	95	13	the	the	DET
ap-1852	95	14	usual	usual	ADJ
ap-1852	95	15	radial	radial	ADJ
ap-1852	95	16	r	r	NOUN
ap-1852	95	17	variable	variable	NOUN
ap-1852	95	18	in	in	ADP
ap-1852	95	19	r3	r3	PROPN
ap-1852	95	20	,	,	PUNCT
ap-1852	95	21	and	and	CCONJ
ap-1852	95	22	we	we	PRON
ap-1852	95	23	see	see	VERB
ap-1852	95	24	that	that	SCONJ
ap-1852	95	25	∆λ	∆λ	PRON
ap-1852	95	26	just	just	ADV
ap-1852	95	27	reduces	reduce	VERB
ap-1852	95	28	to	to	ADP
ap-1852	95	29	the	the	DET
ap-1852	95	30	standard	standard	ADJ
ap-1852	95	31	laplace	laplace	NOUN
ap-1852	95	32	operator	operator	NOUN
ap-1852	95	33	in	in	ADP
ap-1852	95	34	r3	r3	PROPN
ap-1852	95	35	.	.	PUNCT
ap-1852	96	1	2.5	2.5	NUM
ap-1852	96	2	.	.	PUNCT
ap-1852	97	1	the	the	DET
ap-1852	97	2	potential	potential	ADJ
ap-1852	97	3	term	term	NOUN
ap-1852	97	4	in	in	ADP
ap-1852	97	5	hλ	hλ	ADP
ap-1852	97	6	the	the	DET
ap-1852	97	7	operator	operator	NOUN
ap-1852	97	8	v	v	ADP
ap-1852	97	9	corresponding	correspond	VERB
ap-1852	97	10	to	to	ADP
ap-1852	97	11	a	a	DET
ap-1852	97	12	central	central	ADJ
ap-1852	97	13	potential	potential	NOUN
ap-1852	97	14	in	in	ADP
ap-1852	97	15	qm	qm	PROPN
ap-1852	97	16	is	be	AUX
ap-1852	97	17	defined	define	VERB
ap-1852	97	18	simply	simply	ADV
ap-1852	97	19	as	as	ADP
ap-1852	97	20	the	the	DET
ap-1852	97	21	multiplication	multiplication	NOUN
ap-1852	97	22	of	of	ADP
ap-1852	97	23	the	the	DET
ap-1852	97	24	nc	nc	PROPN
ap-1852	97	25	wave	wave	PROPN
ap-1852	97	26	function	function	NOUN
ap-1852	97	27	by	by	ADP
ap-1852	97	28	v	v	NOUN
ap-1852	97	29	(	(	PUNCT
ap-1852	97	30	r	r	NOUN
ap-1852	97	31	):	):	PUNCT
ap-1852	97	32	(	(	PUNCT
ap-1852	97	33	vψ)(r	vψ)(r	ADJ
ap-1852	97	34	)	)	PUNCT
ap-1852	97	35	=	=	SYM
ap-1852	97	36	v	v	X
ap-1852	97	37	(	(	PUNCT
ap-1852	97	38	r)ψ	r)ψ	X
ap-1852	97	39	=	=	PRON
ap-1852	97	40	ψv	ψv	X
ap-1852	97	41	(	(	PUNCT
ap-1852	97	42	r	r	NOUN
ap-1852	97	43	)	)	PUNCT
ap-1852	97	44	.	.	PUNCT
ap-1852	98	1	(	(	PUNCT
ap-1852	98	2	18	18	NUM
ap-1852	98	3	)	)	PUNCT
ap-1852	98	4	in	in	ADP
ap-1852	98	5	the	the	DET
ap-1852	98	6	commutative	commutative	ADJ
ap-1852	98	7	case	case	NOUN
ap-1852	98	8	the	the	DET
ap-1852	98	9	coulomb	coulomb	NOUN
ap-1852	98	10	potential	potential	ADJ
ap-1852	98	11	φ(r	φ(r	NOUN
ap-1852	98	12	)	)	PUNCT
ap-1852	98	13	=	=	PUNCT
ap-1852	99	1	−	−	PROPN
ap-1852	99	2	qr	qr	NOUN
ap-1852	99	3	is	be	AUX
ap-1852	99	4	the	the	DET
ap-1852	99	5	radial	radial	ADJ
ap-1852	99	6	solution	solution	NOUN
ap-1852	99	7	of	of	ADP
ap-1852	99	8	the	the	DET
ap-1852	99	9	equation	equation	NOUN
ap-1852	99	10	∆φ(r	∆φ(r	ADJ
ap-1852	99	11	)	)	PUNCT
ap-1852	99	12	=	=	SYM
ap-1852	99	13	0	0	NUM
ap-1852	100	1	(	(	PUNCT
ap-1852	100	2	19	19	NUM
ap-1852	100	3	)	)	PUNCT
ap-1852	100	4	vanishing	vanish	VERB
ap-1852	100	5	at	at	ADP
ap-1852	100	6	infinity	infinity	NOUN
ap-1852	100	7	.	.	PUNCT
ap-1852	101	1	due	due	ADP
ap-1852	101	2	to	to	ADP
ap-1852	101	3	our	our	PRON
ap-1852	101	4	choice	choice	NOUN
ap-1852	101	5	of	of	ADP
ap-1852	101	6	the	the	DET
ap-1852	101	7	nc	nc	PROPN
ap-1852	101	8	laplace	laplace	PROPN
ap-1852	101	9	operator	operator	NOUN
ap-1852	101	10	∆λ	∆λ	PROPN
ap-1852	101	11	the	the	DET
ap-1852	101	12	nc	nc	PROPN
ap-1852	101	13	analog	analog	NOUN
ap-1852	101	14	of	of	ADP
ap-1852	101	15	this	this	DET
ap-1852	101	16	equation	equation	NOUN
ap-1852	101	17	is	be	AUX
ap-1852	101	18	∆λφ(r	∆λφ(r	ADJ
ap-1852	101	19	)	)	PUNCT
ap-1852	101	20	=	=	SYM
ap-1852	101	21	0	0	NUM
ap-1852	101	22	⇐	⇐	ADJ
ap-1852	101	23	⇒	⇒	NOUN
ap-1852	101	24	[	[	PUNCT
ap-1852	101	25	a†α	a†α	PROPN
ap-1852	101	26	,	,	PUNCT
ap-1852	101	27	[	[	X
ap-1852	101	28	aα	aα	NOUN
ap-1852	101	29	,	,	PUNCT
ap-1852	101	30	φ(n	φ(n	ADJ
ap-1852	101	31	)	)	PUNCT
ap-1852	101	32	]	]	PUNCT
ap-1852	101	33	]	]	PUNCT
ap-1852	102	1	=	=	PUNCT
ap-1852	102	2	0	0	X
ap-1852	102	3	.	.	PUNCT
ap-1852	103	1	the	the	DET
ap-1852	103	2	last	last	ADJ
ap-1852	103	3	equation	equation	NOUN
ap-1852	103	4	can	can	AUX
ap-1852	103	5	be	be	AUX
ap-1852	103	6	rewritten	rewrite	VERB
ap-1852	103	7	as	as	ADP
ap-1852	103	8	a	a	DET
ap-1852	103	9	simple	simple	ADJ
ap-1852	103	10	recurrent	recurrent	ADJ
ap-1852	103	11	relation	relation	NOUN
ap-1852	103	12	(	(	PUNCT
ap-1852	103	13	n	n	PROPN
ap-1852	103	14	+	+	CCONJ
ap-1852	103	15	2)φ(n	2)φ(n	NUM
ap-1852	103	16	+	+	SYM
ap-1852	103	17	1)−	1)−	PROPN
ap-1852	103	18	(	(	PUNCT
ap-1852	103	19	n	n	X
ap-1852	103	20	+	+	NOUN
ap-1852	103	21	1)φ(n	1)φ(n	NUM
ap-1852	103	22	)	)	PUNCT
ap-1852	103	23	=	=	PUNCT
ap-1852	103	24	(	(	PUNCT
ap-1852	103	25	n	n	NOUN
ap-1852	103	26	+	+	CCONJ
ap-1852	103	27	1)φ(n)−nφ(n	1)φ(n)−nφ(n	ADJ
ap-1852	103	28	−	−	NOUN
ap-1852	103	29	1	1	NUM
ap-1852	103	30	)	)	PUNCT
ap-1852	103	31	(	(	PUNCT
ap-1852	103	32	20	20	NUM
ap-1852	103	33	)	)	PUNCT
ap-1852	103	34	that	that	PRON
ap-1852	103	35	can	can	AUX
ap-1852	103	36	be	be	AUX
ap-1852	103	37	easily	easily	ADV
ap-1852	103	38	solved	solve	VERB
ap-1852	103	39	.	.	PUNCT
ap-1852	104	1	its	its	PRON
ap-1852	104	2	solution	solution	NOUN
ap-1852	104	3	vanishing	vanish	VERB
ap-1852	104	4	at	at	ADP
ap-1852	104	5	infinity	infinity	NOUN
ap-1852	104	6	is	be	AUX
ap-1852	104	7	given	give	VERB
ap-1852	104	8	as	as	ADP
ap-1852	104	9	φ(n	φ(n	ADJ
ap-1852	104	10	)	)	PUNCT
ap-1852	104	11	=	=	SYM
ap-1852	104	12	−	−	NOUN
ap-1852	104	13	q′	q′	NOUN
ap-1852	104	14	n	n	PROPN
ap-1852	104	15	+	+	CCONJ
ap-1852	104	16	1	1	NUM
ap-1852	104	17	⇐	⇐	ADJ
ap-1852	104	18	⇒	⇒	NOUN
ap-1852	104	19	φ(r	φ(r	ADJ
ap-1852	104	20	)	)	PUNCT
ap-1852	104	21	=	=	SYM
ap-1852	104	22	−q	−q	ADJ
ap-1852	104	23	r	r	NOUN
ap-1852	104	24	.	.	PUNCT
ap-1852	105	1	(	(	PUNCT
ap-1852	105	2	21	21	NUM
ap-1852	105	3	)	)	PUNCT
ap-1852	105	4	we	we	PRON
ap-1852	105	5	identify	identify	VERB
ap-1852	105	6	φ(r	φ(r	ADV
ap-1852	105	7	)	)	PUNCT
ap-1852	105	8	with	with	ADP
ap-1852	105	9	the	the	DET
ap-1852	105	10	nc	nc	PROPN
ap-1852	105	11	analog	analog	NOUN
ap-1852	105	12	of	of	ADP
ap-1852	105	13	the	the	DET
ap-1852	105	14	coulomb	coulomb	NOUN
ap-1852	105	15	potential	potential	NOUN
ap-1852	105	16	.	.	PUNCT
ap-1852	106	1	we	we	PRON
ap-1852	106	2	see	see	VERB
ap-1852	106	3	that	that	SCONJ
ap-1852	106	4	the	the	DET
ap-1852	106	5	1	1	NUM
ap-1852	106	6	/	/	SYM
ap-1852	106	7	r	r	NOUN
ap-1852	106	8	dependence	dependence	NOUN
ap-1852	106	9	of	of	ADP
ap-1852	106	10	the	the	DET
ap-1852	106	11	nc	nc	PROPN
ap-1852	106	12	coulomb	coulomb	PROPN
ap-1852	106	13	potential	potential	NOUN
ap-1852	106	14	is	be	AUX
ap-1852	106	15	inevitable	inevitable	ADJ
ap-1852	106	16	.	.	PUNCT
ap-1852	107	1	3	3	X
ap-1852	107	2	.	.	X
ap-1852	107	3	the	the	DET
ap-1852	107	4	coulomb	coulomb	NOUN
ap-1852	107	5	problem	problem	NOUN
ap-1852	107	6	in	in	ADP
ap-1852	107	7	nc	nc	PROPN
ap-1852	107	8	qm	qm	PROPN
ap-1852	107	9	3.1	3.1	NUM
ap-1852	107	10	.	.	PUNCT
ap-1852	108	1	nc	nc	PROPN
ap-1852	108	2	radial	radial	ADJ
ap-1852	108	3	schrödinger	schrödinger	ADJ
ap-1852	108	4	equation	equation	NOUN
ap-1852	108	5	based	base	VERB
ap-1852	108	6	on	on	ADP
ap-1852	108	7	(	(	PUNCT
ap-1852	108	8	13	13	NUM
ap-1852	108	9	)	)	PUNCT
ap-1852	108	10	and	and	CCONJ
ap-1852	108	11	(	(	PUNCT
ap-1852	108	12	21	21	NUM
ap-1852	108	13	)	)	PUNCT
ap-1852	108	14	we	we	PRON
ap-1852	108	15	postulate	postulate	VERB
ap-1852	108	16	the	the	DET
ap-1852	108	17	nc	nc	PROPN
ap-1852	108	18	analog	analog	NOUN
ap-1852	108	19	of	of	ADP
ap-1852	108	20	the	the	DET
ap-1852	108	21	schrödinger	schrödinger	ADJ
ap-1852	108	22	equation	equation	NOUN
ap-1852	108	23	with	with	ADP
ap-1852	108	24	the	the	DET
ap-1852	108	25	coulomb	coulomb	NOUN
ap-1852	108	26	potential	potential	NOUN
ap-1852	108	27	in	in	ADP
ap-1852	108	28	r3	r3	PROPN
ap-1852	108	29	λ	λ	PROPN
ap-1852	108	30	as	as	ADP
ap-1852	108	31	~2	~2	NOUN
ap-1852	108	32	2mλr	2mλr	PROPN
ap-1852	108	33	[	[	PUNCT
ap-1852	108	34	a†α	a†α	PROPN
ap-1852	108	35	,	,	PUNCT
ap-1852	108	36	[	[	X
ap-1852	108	37	aα	aα	NOUN
ap-1852	108	38	,	,	PUNCT
ap-1852	108	39	ψ	ψ	X
ap-1852	108	40	]	]	X
ap-1852	108	41	]	]	PUNCT
ap-1852	109	1	−	−	PUNCT
ap-1852	109	2	q	q	NOUN
ap-1852	109	3	r	r	NOUN
ap-1852	109	4	ψ	ψ	NOUN
ap-1852	109	5	=	=	X
ap-1852	109	6	eψ	eψ	X
ap-1852	109	7	⇐	⇐	PROPN
ap-1852	109	8	⇒	⇒	PROPN
ap-1852	109	9	1	1	NUM
ap-1852	109	10	λ	λ	X
ap-1852	109	11	[	[	PUNCT
ap-1852	109	12	a†α	a†α	PROPN
ap-1852	109	13	,	,	PUNCT
ap-1852	109	14	[	[	PUNCT
ap-1852	109	15	aα	aα	NOUN
ap-1852	109	16	,	,	PUNCT
ap-1852	109	17	ψ	ψ	X
ap-1852	109	18	]	]	X
ap-1852	109	19	]	]	PUNCT
ap-1852	109	20	−	−	PROPN
ap-1852	109	21	2αψ	2αψ	NOUN
ap-1852	109	22	=	=	PUNCT
ap-1852	109	23	k2rψ	k2rψ	X
ap-1852	109	24	,	,	PUNCT
ap-1852	109	25	(	(	PUNCT
ap-1852	109	26	22	22	NUM
ap-1852	109	27	)	)	PUNCT
ap-1852	109	28	where	where	SCONJ
ap-1852	109	29	q	q	NOUN
ap-1852	109	30	is	be	AUX
ap-1852	109	31	a	a	DET
ap-1852	109	32	square	square	NOUN
ap-1852	109	33	of	of	ADP
ap-1852	109	34	electric	electric	ADJ
ap-1852	109	35	charge	charge	NOUN
ap-1852	109	36	q	q	PROPN
ap-1852	109	37	=	=	SYM
ap-1852	109	38	±e2	±e2	X
ap-1852	109	39	(	(	PUNCT
ap-1852	109	40	q	q	X
ap-1852	109	41	>	>	X
ap-1852	109	42	0	0	NUM
ap-1852	109	43	or	or	CCONJ
ap-1852	109	44	q	q	ADJ
ap-1852	109	45	<	<	X
ap-1852	109	46	0	0	NUM
ap-1852	109	47	corresponding	correspond	VERB
ap-1852	109	48	to	to	ADP
ap-1852	109	49	the	the	DET
ap-1852	109	50	coulomb	coulomb	NOUN
ap-1852	109	51	attraction	attraction	NOUN
ap-1852	109	52	or	or	CCONJ
ap-1852	109	53	repulsion	repulsion	NOUN
ap-1852	109	54	respectively	respectively	ADV
ap-1852	109	55	)	)	PUNCT
ap-1852	109	56	,	,	PUNCT
ap-1852	109	57	α	α	PROPN
ap-1852	109	58	=	=	SYM
ap-1852	109	59	mq/~2	mq/~2	PROPN
ap-1852	109	60	and	and	CCONJ
ap-1852	109	61	k2	k2	PROPN
ap-1852	109	62	=	=	PROPN
ap-1852	109	63	2me/~2	2me/~2	NUM
ap-1852	109	64	.	.	PUNCT
ap-1852	110	1	putting	put	VERB
ap-1852	110	2	ψ	ψ	X
ap-1852	110	3	=	=	NOUN
ap-1852	110	4	ψjm	ψjm	NOUN
ap-1852	110	5	given	give	VERB
ap-1852	110	6	in	in	ADP
ap-1852	110	7	(	(	PUNCT
ap-1852	110	8	12	12	NUM
ap-1852	110	9	)	)	PUNCT
ap-1852	110	10	into	into	ADP
ap-1852	110	11	nc	nc	PROPN
ap-1852	110	12	schrödinger	schrödinger	PROPN
ap-1852	110	13	equation	equation	NOUN
ap-1852	110	14	(	(	PUNCT
ap-1852	110	15	22	22	NUM
ap-1852	110	16	)	)	PUNCT
ap-1852	110	17	we	we	PRON
ap-1852	110	18	come	come	VERB
ap-1852	110	19	to	to	ADP
ap-1852	110	20	the	the	DET
ap-1852	110	21	radial	radial	ADJ
ap-1852	110	22	schrödinger	schrödinger	ADJ
ap-1852	110	23	equation	equation	NOUN
ap-1852	110	24	for	for	ADP
ap-1852	110	25	rj	rj	PROPN
ap-1852	110	26	=	=	PUNCT
ap-1852	110	27	:	:	PUNCT
ap-1852	110	28	r	r	NOUN
ap-1852	110	29	:	:	PUNCT
ap-1852	110	30	.	.	PUNCT
ap-1852	111	1	using	use	VERB
ap-1852	111	2	(	(	PUNCT
ap-1852	111	3	17	17	NUM
ap-1852	111	4	)	)	PUNCT
ap-1852	111	5	and	and	CCONJ
ap-1852	111	6	the	the	DET
ap-1852	111	7	relation	relation	NOUN
ap-1852	111	8	rψjm	rψjm	NOUN
ap-1852	111	9	=	=	SYM
ap-1852	111	10	∑	∑	PUNCT
ap-1852	111	11	(	(	PUNCT
ap-1852	111	12	jm	jm	NOUN
ap-1852	111	13	)	)	PUNCT
ap-1852	111	14	(	(	PUNCT
ap-1852	111	15	a†1)m1(a†2)m2	a†1)m1(a†2)m2	PROPN
ap-1852	111	16	m1!m2	m1!m2	PROPN
ap-1852	111	17	!	!	PUNCT
ap-1852	112	1	×	×	NOUN
ap-1852	112	2	:	:	PUNCT
ap-1852	113	1	[	[	X
ap-1852	113	2	(	(	PUNCT
ap-1852	113	3	%	%	INTJ
ap-1852	113	4	+	+	CCONJ
ap-1852	113	5	λj	λj	PROPN
ap-1852	113	6	+	+	ADJ
ap-1852	113	7	λ)rj	λ)rj	PROPN
ap-1852	113	8	+	+	CCONJ
ap-1852	113	9	λ%r′j	λ%r′j	X
ap-1852	113	10	]	]	X
ap-1852	113	11	:	:	PUNCT
ap-1852	113	12	an1	an1	NOUN
ap-1852	113	13	1	1	NUM
ap-1852	113	14	(	(	PUNCT
ap-1852	113	15	−a2)n2	−a2)n2	VERB
ap-1852	113	16	n1!n2	n1!n2	ADJ
ap-1852	113	17	!	!	PUNCT
ap-1852	113	18	,	,	PUNCT
ap-1852	113	19	(	(	PUNCT
ap-1852	113	20	23	23	NUM
ap-1852	113	21	)	)	PUNCT
ap-1852	113	22	we	we	PRON
ap-1852	113	23	obtain	obtain	VERB
ap-1852	113	24	:	:	PUNCT
ap-1852	113	25	%	%	INTJ
ap-1852	113	26	r′′j	r′′j	NOUN
ap-1852	113	27	+	+	PUNCT
ap-1852	114	1	[	[	X
ap-1852	114	2	k2λ%+	k2λ%+	X
ap-1852	114	3	2j	2j	X
ap-1852	114	4	+	+	CCONJ
ap-1852	114	5	2]r′j	2]r′j	NUM
ap-1852	115	1	+	+	CCONJ
ap-1852	115	2	[	[	PUNCT
ap-1852	115	3	k2%+	k2%+	X
ap-1852	115	4	k2λ(j	k2λ(j	PROPN
ap-1852	115	5	+	+	PROPN
ap-1852	115	6	1	1	X
ap-1852	115	7	)	)	PUNCT
ap-1852	115	8	+	+	CCONJ
ap-1852	115	9	2α	2α	NOUN
ap-1852	115	10	]	]	PUNCT
ap-1852	115	11	rj	rj	X
ap-1852	115	12	:	:	PUNCT
ap-1852	115	13	=	=	SYM
ap-1852	115	14	0	0	X
ap-1852	115	15	.	.	PUNCT
ap-1852	116	1	(	(	PUNCT
ap-1852	116	2	24	24	NUM
ap-1852	116	3	)	)	PUNCT
ap-1852	116	4	we	we	PRON
ap-1852	116	5	claim	claim	VERB
ap-1852	116	6	(	(	PUNCT
ap-1852	116	7	24	24	NUM
ap-1852	116	8	)	)	PUNCT
ap-1852	116	9	to	to	PART
ap-1852	116	10	be	be	AUX
ap-1852	116	11	an	an	DET
ap-1852	116	12	nc	nc	NOUN
ap-1852	116	13	analog	analog	NOUN
ap-1852	116	14	of	of	ADP
ap-1852	116	15	the	the	DET
ap-1852	116	16	usual	usual	ADJ
ap-1852	116	17	radial	radial	ADJ
ap-1852	116	18	schrödinger	schrödinger	ADJ
ap-1852	116	19	equation	equation	NOUN
ap-1852	116	20	known	know	VERB
ap-1852	116	21	from	from	ADP
ap-1852	116	22	the	the	DET
ap-1852	116	23	standard	standard	PROPN
ap-1852	116	24	qm	qm	PROPN
ap-1852	116	25	.	.	PUNCT
ap-1852	117	1	there	there	PRON
ap-1852	117	2	definitely	definitely	ADV
ap-1852	117	3	is	be	AUX
ap-1852	117	4	a	a	DET
ap-1852	117	5	resemblance	resemblance	NOUN
ap-1852	117	6	,	,	PUNCT
ap-1852	117	7	as	as	ADP
ap-1852	117	8	in	in	ADP
ap-1852	117	9	the	the	DET
ap-1852	117	10	limit	limit	NOUN
ap-1852	117	11	λ→	λ→	PUNCT
ap-1852	117	12	0	0	PUNCT
ap-1852	117	13	the	the	DET
ap-1852	117	14	terms	term	NOUN
ap-1852	117	15	in	in	ADP
ap-1852	117	16	(	(	PUNCT
ap-1852	117	17	24	24	NUM
ap-1852	117	18	)	)	PUNCT
ap-1852	117	19	proportional	proportional	NOUN
ap-1852	117	20	to	to	ADP
ap-1852	117	21	λ	λ	PROPN
ap-1852	117	22	representing	represent	VERB
ap-1852	117	23	the	the	DET
ap-1852	117	24	nc	nc	PROPN
ap-1852	117	25	corrections	correction	NOUN
ap-1852	117	26	disappear	disappear	VERB
ap-1852	117	27	.	.	PUNCT
ap-1852	118	1	considering	consider	VERB
ap-1852	118	2	the	the	DET
ap-1852	118	3	same	same	ADJ
ap-1852	118	4	limit	limit	NOUN
ap-1852	118	5	we	we	PRON
ap-1852	118	6	see	see	VERB
ap-1852	118	7	that	that	SCONJ
ap-1852	118	8	we	we	PRON
ap-1852	118	9	also	also	ADV
ap-1852	118	10	do	do	AUX
ap-1852	118	11	not	not	PART
ap-1852	118	12	need	need	VERB
ap-1852	118	13	to	to	PART
ap-1852	118	14	worry	worry	VERB
ap-1852	118	15	about	about	ADP
ap-1852	118	16	the	the	DET
ap-1852	118	17	colon	colon	NOUN
ap-1852	118	18	marks	mark	NOUN
ap-1852	118	19	denoting	denote	VERB
ap-1852	118	20	the	the	DET
ap-1852	118	21	normal	normal	ADJ
ap-1852	118	22	ordering	ordering	NOUN
ap-1852	118	23	,	,	PUNCT
ap-1852	118	24	since	since	SCONJ
ap-1852	118	25	for	for	ADP
ap-1852	118	26	zero	zero	NUM
ap-1852	118	27	λ	λ	PROPN
ap-1852	118	28	it	it	PRON
ap-1852	118	29	makes	make	VERB
ap-1852	118	30	no	no	DET
ap-1852	118	31	difference	difference	NOUN
ap-1852	118	32	whatsoever	whatsoever	ADV
ap-1852	118	33	whether	whether	SCONJ
ap-1852	118	34	we	we	PRON
ap-1852	118	35	care	care	VERB
ap-1852	118	36	for	for	ADP
ap-1852	118	37	the	the	DET
ap-1852	118	38	ordering	ordering	NOUN
ap-1852	118	39	or	or	CCONJ
ap-1852	118	40	not	not	PART
ap-1852	118	41	.	.	PUNCT
ap-1852	119	1	now	now	ADV
ap-1852	119	2	we	we	PRON
ap-1852	119	3	can	can	AUX
ap-1852	119	4	solve	solve	VERB
ap-1852	119	5	the	the	DET
ap-1852	119	6	nc	nc	PROPN
ap-1852	119	7	radial	radial	ADJ
ap-1852	119	8	schrödinger	schrödinger	ADJ
ap-1852	119	9	equation	equation	NOUN
ap-1852	119	10	in	in	ADP
ap-1852	119	11	two	two	NUM
ap-1852	119	12	separate	separate	ADJ
ap-1852	119	13	steps	step	NOUN
ap-1852	119	14	:	:	PUNCT
ap-1852	119	15	(	(	PUNCT
ap-1852	119	16	1	1	NUM
ap-1852	119	17	.	.	PUNCT
ap-1852	119	18	)	)	PUNCT
ap-1852	120	1	we	we	PRON
ap-1852	120	2	associate	associate	VERB
ap-1852	120	3	the	the	DET
ap-1852	120	4	following	follow	VERB
ap-1852	120	5	ordinary	ordinary	ADJ
ap-1852	120	6	differential	differential	ADJ
ap-1852	120	7	equation	equation	NOUN
ap-1852	120	8	to	to	ADP
ap-1852	120	9	the	the	DET
ap-1852	120	10	mentioned	mention	VERB
ap-1852	120	11	operator	operator	NOUN
ap-1852	120	12	radial	radial	ADJ
ap-1852	120	13	schrödinger	schrödinger	ADJ
ap-1852	120	14	equation	equation	NOUN
ap-1852	120	15	(	(	PUNCT
ap-1852	120	16	24	24	NUM
ap-1852	120	17	):	):	PUNCT
ap-1852	120	18	%	%	NOUN
ap-1852	120	19	r′′j	r′′j	NOUN
ap-1852	120	20	+	+	PUNCT
ap-1852	121	1	[	[	X
ap-1852	121	2	k2λ%+	k2λ%+	X
ap-1852	121	3	2j	2j	X
ap-1852	121	4	+	+	CCONJ
ap-1852	121	5	2]r′j	2]r′j	NUM
ap-1852	122	1	+	+	CCONJ
ap-1852	122	2	[	[	PUNCT
ap-1852	122	3	k2%+	k2%+	X
ap-1852	122	4	k2λ(j	k2λ(j	PROPN
ap-1852	122	5	+	+	PROPN
ap-1852	122	6	1	1	X
ap-1852	122	7	)	)	PUNCT
ap-1852	122	8	+	+	CCONJ
ap-1852	122	9	2α	2α	NOUN
ap-1852	122	10	]	]	X
ap-1852	122	11	rj	rj	PROPN
ap-1852	122	12	=	=	SYM
ap-1852	122	13	0	0	PROPN
ap-1852	122	14	,	,	PUNCT
ap-1852	122	15	(	(	PUNCT
ap-1852	122	16	25	25	NUM
ap-1852	122	17	)	)	PUNCT
ap-1852	122	18	with	with	ADP
ap-1852	122	19	%	%	NOUN
ap-1852	122	20	being	be	AUX
ap-1852	122	21	real	real	ADJ
ap-1852	122	22	variable	variable	NOUN
ap-1852	122	23	,	,	PUNCT
ap-1852	122	24	and	and	CCONJ
ap-1852	122	25	we	we	PRON
ap-1852	122	26	will	will	AUX
ap-1852	122	27	solve	solve	VERB
ap-1852	122	28	this	this	DET
ap-1852	122	29	one	one	NOUN
ap-1852	122	30	.	.	PUNCT
ap-1852	123	1	but	but	CCONJ
ap-1852	123	2	why	why	SCONJ
ap-1852	123	3	do	do	AUX
ap-1852	123	4	we	we	PRON
ap-1852	123	5	expect	expect	VERB
ap-1852	123	6	this	this	DET
ap-1852	123	7	step	step	NOUN
ap-1852	123	8	to	to	PART
ap-1852	123	9	be	be	AUX
ap-1852	123	10	of	of	ADP
ap-1852	123	11	any	any	DET
ap-1852	123	12	use	use	NOUN
ap-1852	123	13	to	to	ADP
ap-1852	123	14	us	we	PRON
ap-1852	123	15	,	,	PUNCT
ap-1852	123	16	when	when	SCONJ
ap-1852	123	17	we	we	PRON
ap-1852	123	18	actually	actually	ADV
ap-1852	123	19	do	do	AUX
ap-1852	123	20	have	have	VERB
ap-1852	123	21	to	to	PART
ap-1852	123	22	care	care	VERB
ap-1852	123	23	about	about	ADP
ap-1852	123	24	the	the	DET
ap-1852	123	25	ordering	ordering	NOUN
ap-1852	123	26	?	?	PUNCT
ap-1852	124	1	the	the	DET
ap-1852	124	2	key	key	ADJ
ap-1852	124	3	information	information	NOUN
ap-1852	124	4	follows	follow	VERB
ap-1852	124	5	from	from	ADP
ap-1852	124	6	(	(	PUNCT
ap-1852	124	7	16	16	NUM
ap-1852	124	8	):	):	PUNCT
ap-1852	124	9	the	the	DET
ap-1852	124	10	derivatives	derivative	NOUN
ap-1852	124	11	of	of	ADP
ap-1852	124	12	r	r	NOUN
ap-1852	124	13	appearing	appear	VERB
ap-1852	124	14	in	in	ADP
ap-1852	124	15	(	(	PUNCT
ap-1852	124	16	17	17	NUM
ap-1852	124	17	)	)	PUNCT
ap-1852	124	18	are	be	AUX
ap-1852	124	19	just	just	ADV
ap-1852	124	20	like	like	ADP
ap-1852	124	21	carbon	carbon	NOUN
ap-1852	124	22	copies	copy	NOUN
ap-1852	124	23	of	of	ADP
ap-1852	124	24	the	the	DET
ap-1852	124	25	usual	usual	ADJ
ap-1852	124	26	derivatives	derivative	NOUN
ap-1852	124	27	.	.	PUNCT
ap-1852	125	1	(	(	PUNCT
ap-1852	125	2	2	2	NUM
ap-1852	125	3	.	.	PUNCT
ap-1852	125	4	)	)	PUNCT
ap-1852	125	5	now	now	ADV
ap-1852	125	6	bearing	bear	VERB
ap-1852	125	7	this	this	PRON
ap-1852	125	8	in	in	ADP
ap-1852	125	9	mind	mind	NOUN
ap-1852	125	10	,	,	PUNCT
ap-1852	125	11	we	we	PRON
ap-1852	125	12	put	put	VERB
ap-1852	125	13	r	r	NOUN
ap-1852	125	14	=	=	PUNCT
ap-1852	125	15	:	:	PUNCT
ap-1852	125	16	r	r	NOUN
ap-1852	125	17	:	:	PUNCT
ap-1852	125	18	,	,	PUNCT
ap-1852	125	19	the	the	DET
ap-1852	125	20	solution	solution	NOUN
ap-1852	125	21	of	of	ADP
ap-1852	125	22	(	(	PUNCT
ap-1852	125	23	24	24	NUM
ap-1852	125	24	)	)	PUNCT
ap-1852	125	25	,	,	PUNCT
ap-1852	125	26	to	to	PART
ap-1852	125	27	be	be	AUX
ap-1852	125	28	of	of	ADP
ap-1852	125	29	the	the	DET
ap-1852	125	30	same	same	ADJ
ap-1852	125	31	form	form	NOUN
ap-1852	125	32	as	as	ADP
ap-1852	125	33	r	r	NOUN
ap-1852	125	34	,	,	PUNCT
ap-1852	125	35	the	the	DET
ap-1852	125	36	solution	solution	NOUN
ap-1852	125	37	of	of	ADP
ap-1852	125	38	(	(	PUNCT
ap-1852	125	39	25	25	NUM
ap-1852	125	40	)	)	PUNCT
ap-1852	125	41	,	,	PUNCT
ap-1852	125	42	except	except	SCONJ
ap-1852	125	43	that	that	DET
ap-1852	125	44	%	%	NOUN
ap-1852	125	45	=	=	SYM
ap-1852	125	46	λn	λn	NOUN
ap-1852	125	47	and	and	CCONJ
ap-1852	125	48	the	the	DET
ap-1852	125	49	normal	normal	ADJ
ap-1852	125	50	429	429	NUM
ap-1852	125	51	v.	v.	ADP
ap-1852	125	52	gáliková	gáliková	PROPN
ap-1852	125	53	,	,	PUNCT
ap-1852	125	54	p.	p.	NOUN
ap-1852	125	55	prešnajder	prešnajder	NOUN
ap-1852	125	56	acta	acta	PROPN
ap-1852	125	57	polytechnica	polytechnica	PROPN
ap-1852	125	58	powers	power	NOUN
ap-1852	125	59	:	:	PUNCT
ap-1852	125	60	%	%	NOUN
ap-1852	125	61	n	n	CCONJ
ap-1852	125	62	:	:	PUNCT
ap-1852	125	63	have	have	VERB
ap-1852	125	64	to	to	PART
ap-1852	125	65	be	be	AUX
ap-1852	125	66	calculated	calculate	VERB
ap-1852	125	67	.	.	PUNCT
ap-1852	126	1	fortunately	fortunately	ADV
ap-1852	126	2	there	there	PRON
ap-1852	126	3	is	be	VERB
ap-1852	126	4	a	a	DET
ap-1852	126	5	simple	simple	ADJ
ap-1852	126	6	formula	formula	NOUN
ap-1852	126	7	relating	relate	VERB
ap-1852	126	8	the	the	DET
ap-1852	126	9	two	two	NUM
ap-1852	126	10	,	,	PUNCT
ap-1852	126	11	namely	namely	ADV
ap-1852	126	12	:	:	PUNCT
ap-1852	126	13	%	%	NOUN
ap-1852	126	14	n	n	CCONJ
ap-1852	126	15	:	:	PUNCT
ap-1852	126	16	=	=	PUNCT
ap-1852	126	17	λn	λn	NOUN
ap-1852	126	18	:	:	PUNCT
ap-1852	126	19	nn	nn	ADJ
ap-1852	126	20	:	:	PUNCT
ap-1852	126	21	=	=	PUNCT
ap-1852	126	22	λn	λn	NOUN
ap-1852	126	23	n	n	INTJ
ap-1852	126	24	!	!	PUNCT
ap-1852	127	1	(	(	PUNCT
ap-1852	127	2	n	n	CCONJ
ap-1852	127	3	−	−	PROPN
ap-1852	127	4	n	n	CCONJ
ap-1852	127	5	)	)	PUNCT
ap-1852	127	6	!	!	PUNCT
ap-1852	128	1	:	:	PUNCT
ap-1852	128	2	%	%	INTJ
ap-1852	128	3	−n	−n	ADV
ap-1852	128	4	:	:	PUNCT
ap-1852	128	5	=	=	SYM
ap-1852	128	6	λ−n	λ−n	NOUN
ap-1852	128	7	:	:	PUNCT
ap-1852	128	8	nn	nn	ADJ
ap-1852	128	9	:	:	PUNCT
ap-1852	128	10	=	=	NOUN
ap-1852	128	11	λ−n	λ−n	NOUN
ap-1852	128	12	n	n	PRON
ap-1852	128	13	!	!	PUNCT
ap-1852	129	1	(	(	PUNCT
ap-1852	129	2	n	n	CCONJ
ap-1852	129	3	−	−	PROPN
ap-1852	129	4	n	n	CCONJ
ap-1852	129	5	)	)	PUNCT
ap-1852	129	6	!	!	PUNCT
ap-1852	130	1	(	(	PUNCT
ap-1852	130	2	26	26	NUM
ap-1852	130	3	)	)	PUNCT
ap-1852	130	4	all	all	PRON
ap-1852	130	5	we	we	PRON
ap-1852	130	6	need	need	VERB
ap-1852	130	7	is	be	AUX
ap-1852	130	8	to	to	PART
ap-1852	130	9	rewrite	rewrite	VERB
ap-1852	130	10	:	:	PUNCT
ap-1852	130	11	r	r	NOUN
ap-1852	130	12	:	:	PUNCT
ap-1852	130	13	using	use	VERB
ap-1852	130	14	those	those	DET
ap-1852	130	15	relations	relation	NOUN
ap-1852	130	16	.	.	PUNCT
ap-1852	131	1	then	then	ADV
ap-1852	131	2	the	the	DET
ap-1852	131	3	comparison	comparison	NOUN
ap-1852	131	4	of	of	ADP
ap-1852	131	5	qm	qm	PROPN
ap-1852	131	6	and	and	CCONJ
ap-1852	131	7	ncqm	ncqm	VERB
ap-1852	131	8	will	will	AUX
ap-1852	131	9	be	be	AUX
ap-1852	131	10	at	at	ADP
ap-1852	131	11	hand	hand	NOUN
ap-1852	131	12	.	.	PUNCT
ap-1852	132	1	3.2	3.2	NUM
ap-1852	132	2	.	.	PUNCT
ap-1852	132	3	coulomb	coulomb	NOUN
ap-1852	132	4	scattering	scattering	NOUN
ap-1852	132	5	in	in	ADP
ap-1852	132	6	qm	qm	PROPN
ap-1852	132	7	to	to	PART
ap-1852	132	8	begin	begin	VERB
ap-1852	132	9	with	with	ADP
ap-1852	132	10	,	,	PUNCT
ap-1852	132	11	we	we	PRON
ap-1852	132	12	briefly	briefly	ADV
ap-1852	132	13	sum	sum	VERB
ap-1852	132	14	up	up	ADP
ap-1852	132	15	the	the	DET
ap-1852	132	16	qm	qm	PROPN
ap-1852	132	17	results	result	NOUN
ap-1852	132	18	before	before	ADP
ap-1852	132	19	handling	handle	VERB
ap-1852	132	20	our	our	PRON
ap-1852	132	21	ncqm	ncqm	NOUN
ap-1852	132	22	case	case	NOUN
ap-1852	132	23	.	.	PUNCT
ap-1852	133	1	the	the	DET
ap-1852	133	2	solution	solution	NOUN
ap-1852	133	3	of	of	ADP
ap-1852	133	4	the	the	DET
ap-1852	133	5	radial	radial	ADJ
ap-1852	133	6	schrödinger	schrödinger	ADJ
ap-1852	133	7	equation	equation	NOUN
ap-1852	133	8	for	for	ADP
ap-1852	133	9	a	a	DET
ap-1852	133	10	particle	particle	NOUN
ap-1852	133	11	in	in	ADP
ap-1852	133	12	the	the	DET
ap-1852	133	13	potential	potential	ADJ
ap-1852	133	14	v	v	NOUN
ap-1852	133	15	(	(	PUNCT
ap-1852	133	16	r	r	NOUN
ap-1852	133	17	)	)	PUNCT
ap-1852	133	18	=	=	SYM
ap-1852	133	19	−α	−α	NOUN
ap-1852	133	20	/	/	SYM
ap-1852	133	21	r	r	NOUN
ap-1852	133	22	with	with	ADP
ap-1852	133	23	the	the	DET
ap-1852	133	24	angular	angular	ADJ
ap-1852	133	25	momentum	momentum	NOUN
ap-1852	133	26	j	j	PROPN
ap-1852	133	27	and	and	CCONJ
ap-1852	133	28	energy	energy	NOUN
ap-1852	133	29	e	e	NOUN
ap-1852	133	30	>	>	X
ap-1852	133	31	0	0	PUNCT
ap-1852	133	32	regular	regular	ADV
ap-1852	133	33	in	in	ADP
ap-1852	133	34	r	r	NOUN
ap-1852	133	35	→	→	SYM
ap-1852	133	36	0	0	NUM
ap-1852	133	37	is	be	AUX
ap-1852	133	38	given	give	VERB
ap-1852	133	39	as	as	ADP
ap-1852	133	40	rqmj	rqmj	NOUN
ap-1852	133	41	=	=	NOUN
ap-1852	133	42	eikrφ	eikrφ	NOUN
ap-1852	133	43	(	(	PUNCT
ap-1852	133	44	j	j	PROPN
ap-1852	133	45	+	+	CCONJ
ap-1852	133	46	1−	1−	NUM
ap-1852	133	47	iα	iα	INTJ
ap-1852	133	48	k	k	PROPN
ap-1852	133	49	,	,	PUNCT
ap-1852	133	50	2j	2j	X
ap-1852	133	51	+	+	CCONJ
ap-1852	133	52	2,−2ikr	2,−2ikr	NUM
ap-1852	133	53	)	)	PUNCT
ap-1852	133	54	,	,	PUNCT
ap-1852	134	1	k	k	X
ap-1852	134	2	=	=	PUNCT
ap-1852	135	1	√	√	PROPN
ap-1852	135	2	2e	2e	PROPN
ap-1852	135	3	>	>	X
ap-1852	135	4	0	0	NUM
ap-1852	135	5	,	,	PUNCT
ap-1852	135	6	(	(	PUNCT
ap-1852	135	7	27	27	NUM
ap-1852	135	8	)	)	PUNCT
ap-1852	135	9	in	in	ADP
ap-1852	135	10	terms	term	NOUN
ap-1852	135	11	of	of	ADP
ap-1852	135	12	the	the	DET
ap-1852	135	13	confluent	confluent	ADJ
ap-1852	135	14	hypergeometric	hypergeometric	ADJ
ap-1852	135	15	function	function	NOUN
ap-1852	135	16	(	(	PUNCT
ap-1852	135	17	see	see	VERB
ap-1852	135	18	[	[	X
ap-1852	135	19	12	12	NUM
ap-1852	135	20	]	]	SYM
ap-1852	135	21	):	):	PUNCT
ap-1852	135	22	φ(a	φ(a	ADJ
ap-1852	135	23	,	,	PUNCT
ap-1852	135	24	c	c	X
ap-1852	135	25	,	,	PUNCT
ap-1852	135	26	z	z	NOUN
ap-1852	135	27	)	)	PUNCT
ap-1852	135	28	=	=	SYM
ap-1852	136	1	∞∑	∞∑	NUM
ap-1852	136	2	m=0	m=0	PROPN
ap-1852	136	3	(	(	PUNCT
ap-1852	136	4	a)m	a)m	X
ap-1852	136	5	(	(	PUNCT
ap-1852	136	6	c)m	c)m	PROPN
ap-1852	136	7	zm	zm	PROPN
ap-1852	136	8	m	m	PROPN
ap-1852	136	9	!	!	PUNCT
ap-1852	136	10	.	.	PUNCT
ap-1852	137	1	(	(	PUNCT
ap-1852	137	2	28	28	NUM
ap-1852	137	3	)	)	PUNCT
ap-1852	137	4	here	here	ADV
ap-1852	137	5	(	(	PUNCT
ap-1852	137	6	a)m	a)m	NOUN
ap-1852	137	7	is	be	AUX
ap-1852	137	8	the	the	DET
ap-1852	137	9	so	so	ADV
ap-1852	137	10	-	-	PUNCT
ap-1852	137	11	called	call	VERB
ap-1852	137	12	pochhammer	pochhammer	NOUN
ap-1852	137	13	symbol	symbol	NOUN
ap-1852	137	14	:	:	PUNCT
ap-1852	137	15	(	(	PUNCT
ap-1852	137	16	a)m	a)m	NOUN
ap-1852	137	17	=	=	SYM
ap-1852	137	18	a(a+	a(a+	NOUN
ap-1852	137	19	1	1	NUM
ap-1852	137	20	)	)	PUNCT
ap-1852	137	21	·	·	PUNCT
ap-1852	137	22	·	·	PUNCT
ap-1852	137	23	·	·	PUNCT
ap-1852	137	24	(	(	PUNCT
ap-1852	137	25	a+m−	a+m−	PROPN
ap-1852	137	26	1	1	NUM
ap-1852	137	27	)	)	PUNCT
ap-1852	137	28	,	,	PUNCT
ap-1852	137	29	m	m	VERB
ap-1852	137	30	=	=	NOUN
ap-1852	137	31	0	0	NUM
ap-1852	137	32	,	,	PUNCT
ap-1852	137	33	1	1	NUM
ap-1852	137	34	,	,	PUNCT
ap-1852	137	35	2	2	NUM
ap-1852	137	36	,	,	PUNCT
ap-1852	137	37	.	.	PUNCT
ap-1852	137	38	.	.	PUNCT
ap-1852	138	1	.	.	PUNCT
ap-1852	139	1	,	,	PUNCT
ap-1852	140	1	and	and	CCONJ
ap-1852	140	2	(	(	PUNCT
ap-1852	140	3	a)0	a)0	PROPN
ap-1852	140	4	=	=	SYM
ap-1852	140	5	1	1	X
ap-1852	140	6	.	.	PUNCT
ap-1852	141	1	in	in	ADP
ap-1852	141	2	(	(	PUNCT
ap-1852	141	3	27	27	NUM
ap-1852	141	4	)	)	PUNCT
ap-1852	141	5	we	we	PRON
ap-1852	141	6	have	have	AUX
ap-1852	141	7	refrained	refrain	VERB
ap-1852	141	8	from	from	ADP
ap-1852	141	9	writing	write	VERB
ap-1852	141	10	down	down	ADP
ap-1852	141	11	m/~2	m/~2	PUNCT
ap-1852	141	12	explicitly	explicitly	ADV
ap-1852	141	13	.	.	PUNCT
ap-1852	142	1	this	this	PRON
ap-1852	142	2	will	will	AUX
ap-1852	142	3	simplify	simplify	VERB
ap-1852	142	4	the	the	DET
ap-1852	142	5	formulas	formula	NOUN
ap-1852	142	6	and	and	CCONJ
ap-1852	142	7	will	will	AUX
ap-1852	142	8	not	not	PART
ap-1852	142	9	do	do	VERB
ap-1852	142	10	any	any	DET
ap-1852	142	11	harm	harm	NOUN
ap-1852	142	12	,	,	PUNCT
ap-1852	142	13	since	since	SCONJ
ap-1852	142	14	the	the	DET
ap-1852	142	15	full	full	ADJ
ap-1852	142	16	form	form	NOUN
ap-1852	142	17	can	can	AUX
ap-1852	142	18	be	be	AUX
ap-1852	142	19	restored	restore	VERB
ap-1852	142	20	anytime	anytime	ADV
ap-1852	142	21	.	.	PUNCT
ap-1852	143	1	the	the	DET
ap-1852	143	2	solution	solution	NOUN
ap-1852	143	3	(	(	PUNCT
ap-1852	143	4	27	27	NUM
ap-1852	143	5	)	)	PUNCT
ap-1852	143	6	is	be	AUX
ap-1852	143	7	real	real	ADJ
ap-1852	143	8	and	and	CCONJ
ap-1852	143	9	for	for	ADP
ap-1852	143	10	r	r	NOUN
ap-1852	143	11	→∞	→∞	NOUN
ap-1852	144	1	it	it	PRON
ap-1852	144	2	can	can	AUX
ap-1852	144	3	be	be	AUX
ap-1852	144	4	written	write	VERB
ap-1852	144	5	as	as	ADP
ap-1852	144	6	the	the	DET
ap-1852	144	7	sum	sum	NOUN
ap-1852	144	8	of	of	ADP
ap-1852	144	9	two	two	NUM
ap-1852	144	10	complex	complex	ADJ
ap-1852	144	11	conjugated	conjugated	ADJ
ap-1852	144	12	parts	part	NOUN
ap-1852	144	13	corresponding	correspond	VERB
ap-1852	144	14	to	to	ADP
ap-1852	144	15	an	an	DET
ap-1852	144	16	inand	inand	NOUN
ap-1852	144	17	out	out	ADV
ap-1852	144	18	-	-	PUNCT
ap-1852	144	19	going	go	VERB
ap-1852	144	20	spherical	spherical	ADJ
ap-1852	144	21	wave	wave	NOUN
ap-1852	144	22	.	.	PUNCT
ap-1852	145	1	in	in	ADP
ap-1852	145	2	the	the	DET
ap-1852	145	3	following	follow	VERB
ap-1852	145	4	formula	formula	NOUN
ap-1852	145	5	a	a	DET
ap-1852	145	6	real	real	ADJ
ap-1852	145	7	factor	factor	NOUN
ap-1852	145	8	common	common	ADJ
ap-1852	145	9	for	for	ADP
ap-1852	145	10	both	both	DET
ap-1852	145	11	parts	part	NOUN
ap-1852	145	12	is	be	AUX
ap-1852	145	13	left	leave	VERB
ap-1852	145	14	out	out	ADP
ap-1852	145	15	,	,	PUNCT
ap-1852	145	16	having	have	VERB
ap-1852	145	17	no	no	DET
ap-1852	145	18	influence	influence	NOUN
ap-1852	145	19	on	on	ADP
ap-1852	145	20	the	the	DET
ap-1852	145	21	s	s	NOUN
ap-1852	145	22	-	-	NOUN
ap-1852	145	23	matrix	matrix	NOUN
ap-1852	145	24	.	.	PUNCT
ap-1852	146	1	rqmj	rqmj	NOUN
ap-1852	146	2	∼	∼	VERB
ap-1852	146	3	ij+1	ij+1	DET
ap-1852	146	4	γ(j	γ(j	NOUN
ap-1852	146	5	+	+	CCONJ
ap-1852	146	6	1	1	NUM
ap-1852	146	7	+	+	NUM
ap-1852	146	8	iαk	iαk	NOUN
ap-1852	146	9	)	)	PUNCT
ap-1852	147	1	e	e	PROPN
ap-1852	147	2	ikr+iαk	ikr+iαk	PROPN
ap-1852	147	3	ln(2kr	ln(2kr	PROPN
ap-1852	147	4	)	)	PUNCT
ap-1852	148	1	+	+	PUNCT
ap-1852	148	2	i−j−1	i−j−1	NOUN
ap-1852	148	3	γ(j	γ(j	NOUN
ap-1852	148	4	+	+	CCONJ
ap-1852	148	5	1−	1−	NUM
ap-1852	148	6	iαk	iαk	NOUN
ap-1852	148	7	)	)	PUNCT
ap-1852	148	8	e	e	NOUN
ap-1852	148	9	−ikr−iαk	−ikr−iαk	PRON
ap-1852	148	10	ln(2kr	ln(2kr	VERB
ap-1852	148	11	)	)	PUNCT
ap-1852	148	12	.	.	PUNCT
ap-1852	149	1	(	(	PUNCT
ap-1852	149	2	29	29	NUM
ap-1852	149	3	)	)	PUNCT
ap-1852	149	4	the	the	DET
ap-1852	149	5	s	s	NOUN
ap-1852	149	6	-	-	NOUN
ap-1852	149	7	matrix	matrix	NOUN
ap-1852	149	8	for	for	ADP
ap-1852	149	9	the	the	DET
ap-1852	149	10	j	j	PROPN
ap-1852	149	11	-	-	PUNCT
ap-1852	149	12	th	th	VERB
ap-1852	149	13	partial	partial	ADJ
ap-1852	149	14	wave	wave	NOUN
ap-1852	149	15	is	be	AUX
ap-1852	149	16	defined	define	VERB
ap-1852	149	17	as	as	ADP
ap-1852	149	18	the	the	DET
ap-1852	149	19	ratio	ratio	NOUN
ap-1852	149	20	of	of	ADP
ap-1852	149	21	the	the	DET
ap-1852	149	22	r	r	NOUN
ap-1852	149	23	-	-	PUNCT
ap-1852	149	24	independent	independent	ADJ
ap-1852	149	25	factors	factor	NOUN
ap-1852	149	26	multiplying	multiply	VERB
ap-1852	149	27	the	the	DET
ap-1852	149	28	exponentials	exponential	NOUN
ap-1852	149	29	with	with	ADP
ap-1852	149	30	the	the	DET
ap-1852	149	31	kinematical	kinematical	ADJ
ap-1852	149	32	factor	factor	NOUN
ap-1852	149	33	(	(	PUNCT
ap-1852	149	34	−1)j+1	−1)j+1	VERB
ap-1852	149	35	left	leave	VERB
ap-1852	149	36	out	out	ADP
ap-1852	149	37	:	:	PUNCT
ap-1852	149	38	sqmj	sqmj	PROPN
ap-1852	149	39	(	(	PUNCT
ap-1852	149	40	e	e	NOUN
ap-1852	149	41	)	)	PUNCT
ap-1852	150	1	=	=	NOUN
ap-1852	150	2	γ(j	γ(j	NOUN
ap-1852	150	3	+	+	SYM
ap-1852	150	4	1−	1−	NUM
ap-1852	150	5	iαk	iαk	NOUN
ap-1852	150	6	)	)	PUNCT
ap-1852	150	7	γ(j	γ(j	NOUN
ap-1852	151	1	+	+	CCONJ
ap-1852	151	2	1	1	NUM
ap-1852	151	3	+	+	NUM
ap-1852	151	4	iαk	iαk	NOUN
ap-1852	151	5	)	)	PUNCT
ap-1852	151	6	,	,	PUNCT
ap-1852	151	7	e	e	X
ap-1852	151	8	=	=	NOUN
ap-1852	151	9	1	1	NUM
ap-1852	151	10	2k	2k	NUM
ap-1852	151	11	2	2	NUM
ap-1852	151	12	>	>	SYM
ap-1852	151	13	0	0	NUM
ap-1852	151	14	.	.	PUNCT
ap-1852	152	1	(	(	PUNCT
ap-1852	152	2	30	30	NUM
ap-1852	152	3	)	)	PUNCT
ap-1852	152	4	3.3	3.3	NUM
ap-1852	152	5	.	.	PUNCT
ap-1852	153	1	coulomb	coulomb	NOUN
ap-1852	153	2	scattering	scattering	NOUN
ap-1852	153	3	in	in	ADP
ap-1852	153	4	ncqm	ncqm	NOUN
ap-1852	153	5	now	now	ADV
ap-1852	153	6	let	let	VERB
ap-1852	153	7	us	we	PRON
ap-1852	153	8	have	have	VERB
ap-1852	153	9	a	a	DET
ap-1852	153	10	look	look	NOUN
ap-1852	153	11	on	on	ADP
ap-1852	153	12	the	the	DET
ap-1852	153	13	coulomb	coulomb	NOUN
ap-1852	153	14	scattering	scattering	NOUN
ap-1852	153	15	in	in	ADP
ap-1852	153	16	ncqm	ncqm	NOUN
ap-1852	153	17	.	.	PUNCT
ap-1852	154	1	the	the	DET
ap-1852	154	2	solution	solution	NOUN
ap-1852	154	3	of	of	ADP
ap-1852	154	4	equation	equation	NOUN
ap-1852	154	5	(	(	PUNCT
ap-1852	154	6	25	25	NUM
ap-1852	154	7	)	)	PUNCT
ap-1852	154	8	regular	regular	ADV
ap-1852	154	9	at	at	ADP
ap-1852	154	10	the	the	DET
ap-1852	154	11	origin	origin	NOUN
ap-1852	154	12	is	be	AUX
ap-1852	154	13	again	again	ADV
ap-1852	154	14	given	give	VERB
ap-1852	154	15	in	in	ADP
ap-1852	154	16	terms	term	NOUN
ap-1852	154	17	of	of	ADP
ap-1852	154	18	confluent	confluent	ADJ
ap-1852	154	19	hypergeometric	hypergeometric	ADJ
ap-1852	154	20	function	function	NOUN
ap-1852	154	21	(	(	PUNCT
ap-1852	154	22	see	see	VERB
ap-1852	154	23	[	[	X
ap-1852	154	24	10	10	NUM
ap-1852	154	25	]	]	SYM
ap-1852	154	26	):	):	PUNCT
ap-1852	154	27	rj±	rj±	PROPN
ap-1852	154	28	=	=	PUNCT
ap-1852	154	29	exp	exp	NOUN
ap-1852	154	30	[	[	PUNCT
ap-1852	154	31	(	(	PUNCT
ap-1852	154	32	±π(e)−	±π(e)−	PROPN
ap-1852	154	33	λe)%	λe)%	X
ap-1852	154	34	]	]	PUNCT
ap-1852	154	35	×	×	PROPN
ap-1852	154	36	φ	φ	X
ap-1852	154	37	(	(	PUNCT
ap-1852	154	38	j	j	PROPN
ap-1852	154	39	+	+	CCONJ
ap-1852	154	40	1±	1±	NUM
ap-1852	154	41	α	α	PROPN
ap-1852	154	42	π(e	π(e	PROPN
ap-1852	154	43	)	)	PUNCT
ap-1852	154	44	,	,	PUNCT
ap-1852	154	45	2j	2j	NUM
ap-1852	154	46	+	+	CCONJ
ap-1852	154	47	2,∓2π(e)%	2,∓2π(e)%	NUM
ap-1852	154	48	)	)	PUNCT
ap-1852	154	49	,	,	PUNCT
ap-1852	154	50	(	(	PUNCT
ap-1852	154	51	31	31	NUM
ap-1852	154	52	)	)	PUNCT
ap-1852	154	53	where	where	SCONJ
ap-1852	154	54	π(e	π(e	NOUN
ap-1852	154	55	)	)	PUNCT
ap-1852	154	56	=	=	SYM
ap-1852	155	1	√	√	PROPN
ap-1852	155	2	2e(1	2e(1	NUM
ap-1852	155	3	2λ	2λ	PROPN
ap-1852	155	4	2e	2e	NOUN
ap-1852	155	5	−	−	PROPN
ap-1852	155	6	1	1	NUM
ap-1852	155	7	)	)	PUNCT
ap-1852	155	8	.	.	PUNCT
ap-1852	156	1	(	(	PUNCT
ap-1852	156	2	32	32	NUM
ap-1852	156	3	)	)	PUNCT
ap-1852	156	4	we	we	PRON
ap-1852	156	5	point	point	VERB
ap-1852	156	6	out	out	ADP
ap-1852	156	7	that	that	SCONJ
ap-1852	156	8	both	both	DET
ap-1852	156	9	rj+	rj+	NOUN
ap-1852	156	10	=	=	X
ap-1852	156	11	rj−	rj−	PROPN
ap-1852	156	12	due	due	ADP
ap-1852	156	13	to	to	ADP
ap-1852	156	14	the	the	DET
ap-1852	156	15	kummer	kummer	NOUN
ap-1852	156	16	identity	identity	NOUN
ap-1852	156	17	valid	valid	ADJ
ap-1852	156	18	for	for	ADP
ap-1852	156	19	confluent	confluent	ADJ
ap-1852	156	20	hypergeometric	hypergeometric	ADJ
ap-1852	156	21	function	function	NOUN
ap-1852	156	22	(	(	PUNCT
ap-1852	156	23	see	see	VERB
ap-1852	156	24	[	[	X
ap-1852	156	25	13	13	NUM
ap-1852	156	26	]	]	NUM
ap-1852	156	27	)	)	PUNCT
ap-1852	156	28	.	.	PUNCT
ap-1852	157	1	scattering	scatter	VERB
ap-1852	157	2	solutions	solution	NOUN
ap-1852	157	3	,	,	PUNCT
ap-1852	157	4	containing	contain	VERB
ap-1852	157	5	inand	inand	NOUN
ap-1852	157	6	out	out	ADV
ap-1852	157	7	-	-	PUNCT
ap-1852	157	8	going	go	VERB
ap-1852	157	9	spherical	spherical	ADJ
ap-1852	157	10	waves	wave	NOUN
ap-1852	157	11	,	,	PUNCT
ap-1852	157	12	can	can	AUX
ap-1852	157	13	be	be	AUX
ap-1852	157	14	obtained	obtain	VERB
ap-1852	157	15	only	only	ADV
ap-1852	157	16	for	for	ADP
ap-1852	157	17	energy	energy	NOUN
ap-1852	157	18	properly	properly	ADV
ap-1852	157	19	restricted	restrict	VERB
ap-1852	157	20	to	to	ADP
ap-1852	157	21	the	the	DET
ap-1852	157	22	values	value	NOUN
ap-1852	157	23	2e	2e	X
ap-1852	157	24	(	(	PUNCT
ap-1852	157	25	1	1	NUM
ap-1852	157	26	2λ	2λ	NUM
ap-1852	157	27	2e	2e	NOUN
ap-1852	157	28	−	−	NOUN
ap-1852	157	29	1	1	NUM
ap-1852	157	30	)	)	PUNCT
ap-1852	157	31	<	<	X
ap-1852	157	32	0	0	NUM
ap-1852	157	33	⇐	⇐	ADJ
ap-1852	157	34	⇒	⇒	NOUN
ap-1852	157	35	e	e	X
ap-1852	157	36	∈	∈	PROPN
ap-1852	157	37	(	(	PUNCT
ap-1852	157	38	0	0	NUM
ap-1852	157	39	,	,	PUNCT
ap-1852	157	40	2	2	NUM
ap-1852	157	41	/	/	SYM
ap-1852	157	42	λ2	λ2	NOUN
ap-1852	157	43	)	)	PUNCT
ap-1852	157	44	.	.	PUNCT
ap-1852	158	1	(	(	PUNCT
ap-1852	158	2	33	33	NUM
ap-1852	158	3	)	)	PUNCT
ap-1852	158	4	thus	thus	ADV
ap-1852	158	5	we	we	PRON
ap-1852	158	6	recovered	recover	VERB
ap-1852	158	7	energy	energy	NOUN
ap-1852	158	8	cut	cut	VERB
ap-1852	158	9	-	-	PUNCT
ap-1852	158	10	off	off	ADP
ap-1852	158	11	ecrit	ecrit	NOUN
ap-1852	158	12	=	=	SYM
ap-1852	158	13	2	2	NUM
ap-1852	158	14	/	/	SYM
ap-1852	158	15	λ2	λ2	NOUN
ap-1852	158	16	.	.	PUNCT
ap-1852	159	1	for	for	ADP
ap-1852	159	2	e	e	PROPN
ap-1852	159	3	∈	∈	PROPN
ap-1852	159	4	(	(	PUNCT
ap-1852	159	5	0	0	NUM
ap-1852	159	6	,	,	PUNCT
ap-1852	159	7	ecrit	ecrit	PROPN
ap-1852	159	8	)	)	PUNCT
ap-1852	159	9	we	we	PRON
ap-1852	159	10	put	put	VERB
ap-1852	159	11	π(e	π(e	PROPN
ap-1852	159	12	)	)	PUNCT
ap-1852	160	1	=	=	SYM
ap-1852	160	2	ip	ip	NOUN
ap-1852	160	3	,	,	PUNCT
ap-1852	160	4	p	p	NOUN
ap-1852	160	5	=	=	NOUN
ap-1852	160	6	√	√	PROPN
ap-1852	160	7	2e	2e	PROPN
ap-1852	160	8	(	(	PUNCT
ap-1852	160	9	1−	1−	NUM
ap-1852	160	10	1	1	NUM
ap-1852	160	11	2λ	2λ	NOUN
ap-1852	160	12	2e	2e	NOUN
ap-1852	160	13	)	)	PUNCT
ap-1852	160	14	>	>	X
ap-1852	160	15	0	0	NUM
ap-1852	160	16	,	,	PUNCT
ap-1852	160	17	(	(	PUNCT
ap-1852	160	18	34	34	NUM
ap-1852	160	19	)	)	PUNCT
ap-1852	160	20	and	and	CCONJ
ap-1852	160	21	chose	choose	VERB
ap-1852	160	22	the	the	DET
ap-1852	160	23	solution	solution	NOUN
ap-1852	160	24	(	(	PUNCT
ap-1852	160	25	31	31	NUM
ap-1852	160	26	)	)	PUNCT
ap-1852	160	27	as	as	ADP
ap-1852	160	28	rej	rej	PROPN
ap-1852	160	29	=	=	PUNCT
ap-1852	160	30	rej+	rej+	NOUN
ap-1852	160	31	;	;	PUNCT
ap-1852	160	32	we	we	PRON
ap-1852	160	33	labeled	label	VERB
ap-1852	160	34	the	the	DET
ap-1852	160	35	solution	solution	NOUN
ap-1852	160	36	by	by	ADP
ap-1852	160	37	the	the	DET
ap-1852	160	38	admissible	admissible	ADJ
ap-1852	160	39	value	value	NOUN
ap-1852	160	40	of	of	ADP
ap-1852	160	41	energy	energy	NOUN
ap-1852	160	42	e	e	NOUN
ap-1852	160	43	∈	∈	PROPN
ap-1852	160	44	(	(	PUNCT
ap-1852	160	45	0	0	NUM
ap-1852	160	46	,	,	PUNCT
ap-1852	160	47	ecrit	ecrit	PROPN
ap-1852	160	48	)	)	PUNCT
ap-1852	160	49	.	.	PUNCT
ap-1852	161	1	the	the	DET
ap-1852	161	2	solution	solution	NOUN
ap-1852	161	3	of	of	ADP
ap-1852	161	4	the	the	DET
ap-1852	161	5	nc	nc	PROPN
ap-1852	161	6	radial	radial	ADJ
ap-1852	161	7	schrödinger	schrödinger	ADJ
ap-1852	161	8	equation	equation	NOUN
ap-1852	161	9	(	(	PUNCT
ap-1852	161	10	24	24	NUM
ap-1852	161	11	)	)	PUNCT
ap-1852	161	12	is	be	AUX
ap-1852	161	13	rej	rej	PROPN
ap-1852	161	14	=	=	PUNCT
ap-1852	161	15	:	:	PUNCT
ap-1852	161	16	rej	rej	NOUN
ap-1852	161	17	:	:	PUNCT
ap-1852	161	18	.	.	PUNCT
ap-1852	162	1	using	use	VERB
ap-1852	162	2	(	(	PUNCT
ap-1852	162	3	26	26	NUM
ap-1852	162	4	)	)	PUNCT
ap-1852	162	5	the	the	DET
ap-1852	162	6	calculation	calculation	NOUN
ap-1852	162	7	is	be	AUX
ap-1852	162	8	straightforward	straightforward	ADJ
ap-1852	162	9	and	and	CCONJ
ap-1852	162	10	we	we	PRON
ap-1852	162	11	find	find	VERB
ap-1852	162	12	for	for	ADP
ap-1852	162	13	rej	rej	NOUN
ap-1852	162	14	the	the	DET
ap-1852	162	15	expression	expression	NOUN
ap-1852	162	16	rej	rej	NOUN
ap-1852	162	17	=	=	PUNCT
ap-1852	162	18	(	(	PUNCT
ap-1852	162	19	p+	p+	AUX
ap-1852	162	20	iλe	iλe	VERB
ap-1852	162	21	p−	p−	NOUN
ap-1852	162	22	iλe	iλe	VERB
ap-1852	162	23	)	)	PUNCT
ap-1852	162	24	n	n	PROPN
ap-1852	163	1	×	×	NOUN
ap-1852	163	2	f	f	X
ap-1852	163	3	(	(	PUNCT
ap-1852	163	4	j	j	PROPN
ap-1852	163	5	+	+	CCONJ
ap-1852	163	6	1−	1−	NUM
ap-1852	163	7	iα	iα	NOUN
ap-1852	163	8	p	p	NOUN
ap-1852	163	9	,	,	PUNCT
ap-1852	163	10	−n	−n	ADJ
ap-1852	163	11	,	,	PUNCT
ap-1852	163	12	2j	2j	X
ap-1852	163	13	+	+	CCONJ
ap-1852	163	14	2	2	NUM
ap-1852	163	15	;	;	PUNCT
ap-1852	163	16	2iλpp−	2iλpp−	NUM
ap-1852	163	17	iλe	iλe	PROPN
ap-1852	163	18	p+	p+	PROPN
ap-1852	163	19	iλe	iλe	PROPN
ap-1852	163	20	)	)	PUNCT
ap-1852	163	21	(	(	PUNCT
ap-1852	163	22	35	35	NUM
ap-1852	163	23	)	)	PUNCT
ap-1852	163	24	in	in	ADP
ap-1852	163	25	terms	term	NOUN
ap-1852	163	26	of	of	ADP
ap-1852	163	27	the	the	DET
ap-1852	163	28	usual	usual	ADJ
ap-1852	163	29	hypergeometric	hypergeometric	ADJ
ap-1852	163	30	function	function	NOUN
ap-1852	163	31	f	f	PROPN
ap-1852	163	32	(	(	PUNCT
ap-1852	163	33	a	a	PRON
ap-1852	163	34	,	,	PUNCT
ap-1852	163	35	b	b	NOUN
ap-1852	163	36	;	;	PUNCT
ap-1852	163	37	c	c	X
ap-1852	163	38	;	;	PUNCT
ap-1852	163	39	z	z	X
ap-1852	163	40	)	)	PUNCT
ap-1852	163	41	=	=	PUNCT
ap-1852	164	1	∞∑	∞∑	NUM
ap-1852	164	2	m=0	m=0	PROPN
ap-1852	164	3	(	(	PUNCT
ap-1852	164	4	a)m(b)m	a)m(b)m	PROPN
ap-1852	164	5	(	(	PUNCT
ap-1852	164	6	c)m	c)m	PROPN
ap-1852	164	7	zm	zm	PROPN
ap-1852	164	8	m	m	PROPN
ap-1852	164	9	!	!	PUNCT
ap-1852	164	10	.	.	PUNCT
ap-1852	165	1	(	(	PUNCT
ap-1852	165	2	36	36	NUM
ap-1852	165	3	)	)	PUNCT
ap-1852	165	4	the	the	DET
ap-1852	165	5	radial	radial	ADJ
ap-1852	165	6	dependence	dependence	NOUN
ap-1852	165	7	of	of	ADP
ap-1852	165	8	rj	rj	PROPN
ap-1852	165	9	is	be	AUX
ap-1852	165	10	present	present	ADJ
ap-1852	165	11	in	in	ADP
ap-1852	165	12	the	the	DET
ap-1852	165	13	hermitian	hermitian	ADJ
ap-1852	165	14	operator	operator	NOUN
ap-1852	165	15	n	n	NOUN
ap-1852	165	16	:	:	PUNCT
ap-1852	165	17	r	r	X
ap-1852	165	18	=	=	PUNCT
ap-1852	165	19	%	%	NOUN
ap-1852	165	20	+	+	CCONJ
ap-1852	165	21	λ	λ	NOUN
ap-1852	165	22	,	,	PUNCT
ap-1852	165	23	%	%	NOUN
ap-1852	165	24	=	=	SYM
ap-1852	165	25	λn	λn	NOUN
ap-1852	165	26	.	.	PUNCT
ap-1852	166	1	by	by	ADP
ap-1852	166	2	analogy	analogy	NOUN
ap-1852	166	3	with	with	ADP
ap-1852	166	4	(	(	PUNCT
ap-1852	166	5	29	29	NUM
ap-1852	166	6	)	)	PUNCT
ap-1852	166	7	we	we	PRON
ap-1852	166	8	will	will	AUX
ap-1852	166	9	rewrite	rewrite	VERB
ap-1852	166	10	also	also	ADV
ap-1852	166	11	the	the	DET
ap-1852	166	12	nc	nc	PROPN
ap-1852	166	13	solution	solution	NOUN
ap-1852	166	14	as	as	ADP
ap-1852	166	15	a	a	DET
ap-1852	166	16	sum	sum	NOUN
ap-1852	166	17	of	of	ADP
ap-1852	166	18	two	two	NUM
ap-1852	166	19	hermitian	hermitian	ADJ
ap-1852	166	20	conjugated	conjugate	VERB
ap-1852	166	21	terms	term	NOUN
ap-1852	166	22	corresponding	correspond	VERB
ap-1852	166	23	to	to	ADP
ap-1852	166	24	the	the	DET
ap-1852	166	25	inand	inand	NOUN
ap-1852	166	26	out	out	ADV
ap-1852	166	27	-	-	PUNCT
ap-1852	166	28	going	go	VERB
ap-1852	166	29	spherical	spherical	ADJ
ap-1852	166	30	wave	wave	NOUN
ap-1852	166	31	.	.	PUNCT
ap-1852	167	1	first	first	ADV
ap-1852	167	2	,	,	PUNCT
ap-1852	167	3	we	we	PRON
ap-1852	167	4	express	express	VERB
ap-1852	167	5	rej	rej	NOUN
ap-1852	167	6	as	as	ADP
ap-1852	167	7	rej	rej	PROPN
ap-1852	167	8	=	=	SYM
ap-1852	167	9	(	(	PUNCT
ap-1852	167	10	1−	1−	NUM
ap-1852	167	11	z)b/2f	z)b/2f	PROPN
ap-1852	167	12	(	(	PUNCT
ap-1852	167	13	a	a	PRON
ap-1852	167	14	,	,	PUNCT
ap-1852	167	15	b	b	NOUN
ap-1852	167	16	,	,	PUNCT
ap-1852	167	17	c	c	X
ap-1852	167	18	;	;	PUNCT
ap-1852	167	19	z	z	NOUN
ap-1852	167	20	)	)	PUNCT
ap-1852	167	21	.	.	PUNCT
ap-1852	168	1	(	(	PUNCT
ap-1852	168	2	37	37	NUM
ap-1852	168	3	)	)	PUNCT
ap-1852	168	4	according	accord	VERB
ap-1852	168	5	to	to	ADP
ap-1852	168	6	kummer	kummer	NOUN
ap-1852	168	7	identities	identity	NOUN
ap-1852	168	8	(	(	PUNCT
ap-1852	168	9	see	see	VERB
ap-1852	168	10	[	[	X
ap-1852	168	11	13	13	NUM
ap-1852	168	12	]	]	NUM
ap-1852	168	13	)	)	PUNCT
ap-1852	168	14	,	,	PUNCT
ap-1852	168	15	f	f	PROPN
ap-1852	168	16	(	(	PUNCT
ap-1852	168	17	a	a	PRON
ap-1852	168	18	,	,	PUNCT
ap-1852	168	19	b	b	NOUN
ap-1852	168	20	,	,	PUNCT
ap-1852	168	21	c	c	X
ap-1852	168	22	;	;	PUNCT
ap-1852	168	23	z	z	X
ap-1852	168	24	)	)	PUNCT
ap-1852	168	25	can	can	AUX
ap-1852	168	26	be	be	AUX
ap-1852	168	27	written	write	VERB
ap-1852	168	28	as	as	ADP
ap-1852	168	29	a	a	DET
ap-1852	168	30	linear	linear	ADJ
ap-1852	168	31	combination	combination	NOUN
ap-1852	168	32	of	of	ADP
ap-1852	168	33	two	two	NUM
ap-1852	168	34	other	other	ADJ
ap-1852	168	35	solutions	solution	NOUN
ap-1852	168	36	of	of	ADP
ap-1852	168	37	the	the	DET
ap-1852	168	38	hypergeometric	hypergeometric	ADJ
ap-1852	168	39	equation	equation	NOUN
ap-1852	168	40	,	,	PUNCT
ap-1852	168	41	namely	namely	ADV
ap-1852	168	42	(	(	PUNCT
ap-1852	168	43	−z)−af	−z)−af	X
ap-1852	168	44	(	(	PUNCT
ap-1852	168	45	a	a	PRON
ap-1852	168	46	,	,	PUNCT
ap-1852	168	47	a+	a+	PUNCT
ap-1852	168	48	1−	1−	NUM
ap-1852	168	49	c	c	NUM
ap-1852	168	50	,	,	PUNCT
ap-1852	168	51	a+	a+	PUNCT
ap-1852	168	52	1−	1−	NUM
ap-1852	168	53	b	b	NOUN
ap-1852	168	54	;	;	PUNCT
ap-1852	168	55	z−1	z−1	NUM
ap-1852	168	56	)	)	PUNCT
ap-1852	168	57	and	and	CCONJ
ap-1852	168	58	(	(	PUNCT
ap-1852	168	59	z)a−c(1−	z)a−c(1−	NOUN
ap-1852	168	60	z)c−a−bf	z)c−a−bf	PROPN
ap-1852	168	61	(	(	PUNCT
ap-1852	168	62	c−	c−	NOUN
ap-1852	168	63	a	a	X
ap-1852	168	64	,	,	PUNCT
ap-1852	168	65	1−	1−	NUM
ap-1852	168	66	a	a	PRON
ap-1852	168	67	,	,	PUNCT
ap-1852	168	68	c+	c+	VERB
ap-1852	168	69	1−	1−	NUM
ap-1852	168	70	a−	a−	PROPN
ap-1852	168	71	b	b	PROPN
ap-1852	168	72	;	;	PUNCT
ap-1852	168	73	z−1	z−1	PROPN
ap-1852	168	74	z	z	NOUN
ap-1852	168	75	)	)	PUNCT
ap-1852	168	76	.	.	PUNCT
ap-1852	169	1	430	430	NUM
ap-1852	169	2	vol	vol	NOUN
ap-1852	169	3	.	.	PUNCT
ap-1852	170	1	53	53	NUM
ap-1852	170	2	no	no	NOUN
ap-1852	170	3	.	.	PUNCT
ap-1852	171	1	5/2013	5/2013	NUM
ap-1852	171	2	coulomb	coulomb	NOUN
ap-1852	171	3	scattering	scattering	NOUN
ap-1852	171	4	in	in	ADP
ap-1852	171	5	non	non	ADJ
ap-1852	171	6	-	-	ADJ
ap-1852	171	7	commutative	commutative	ADJ
ap-1852	171	8	quantum	quantum	ADJ
ap-1852	171	9	mechanics	mechanic	NOUN
ap-1852	171	10	again	again	ADV
ap-1852	171	11	,	,	PUNCT
ap-1852	171	12	leaving	leave	VERB
ap-1852	171	13	out	out	ADP
ap-1852	171	14	the	the	DET
ap-1852	171	15	common	common	ADJ
ap-1852	171	16	hermitian	hermitian	ADJ
ap-1852	171	17	factor	factor	NOUN
ap-1852	171	18	which	which	PRON
ap-1852	171	19	is	be	AUX
ap-1852	171	20	irrelevant	irrelevant	ADJ
ap-1852	171	21	regarding	regard	VERB
ap-1852	171	22	the	the	DET
ap-1852	171	23	s	s	NOUN
ap-1852	171	24	-	-	NOUN
ap-1852	171	25	matrix	matrix	NOUN
ap-1852	171	26	,	,	PUNCT
ap-1852	171	27	we	we	PRON
ap-1852	171	28	can	can	AUX
ap-1852	171	29	write	write	VERB
ap-1852	171	30	:	:	PUNCT
ap-1852	171	31	rej	rej	VERB
ap-1852	171	32	∼	∼	NOUN
ap-1852	171	33	(	(	PUNCT
ap-1852	171	34	−1)j+1eαπ	−1)j+1eαπ	NOUN
ap-1852	171	35	/	/	SYM
ap-1852	171	36	p	p	NOUN
ap-1852	172	1	γ(j	γ(j	NOUN
ap-1852	172	2	+	+	CCONJ
ap-1852	172	3	1	1	NUM
ap-1852	172	4	+	+	CCONJ
ap-1852	172	5	iαp	iαp	NOUN
ap-1852	172	6	)	)	PUNCT
ap-1852	172	7	(	(	PUNCT
ap-1852	172	8	p+	p+	AUX
ap-1852	172	9	iλe	iλe	VERB
ap-1852	172	10	p−	p−	NOUN
ap-1852	172	11	iλe	iλe	VERB
ap-1852	172	12	)	)	PUNCT
ap-1852	172	13	n+j+1−iαp	n+j+1−iαp	ADP
ap-1852	172	14	×	×	NOUN
ap-1852	172	15	γ(2j	γ(2j	X
ap-1852	172	16	+	+	PROPN
ap-1852	172	17	2)γ(n	2)γ(n	NUM
ap-1852	172	18	+	+	CCONJ
ap-1852	172	19	1	1	NUM
ap-1852	172	20	)	)	PUNCT
ap-1852	172	21	γ(n	γ(n	X
ap-1852	173	1	+	+	CCONJ
ap-1852	173	2	2	2	NUM
ap-1852	173	3	+	+	CCONJ
ap-1852	173	4	j	j	NOUN
ap-1852	173	5	−	−	PROPN
ap-1852	173	6	iα	iα	PROPN
ap-1852	173	7	/	/	SYM
ap-1852	173	8	p	p	NOUN
ap-1852	173	9	)	)	PUNCT
ap-1852	173	10	(	(	PUNCT
ap-1852	173	11	2λp)−1−j+iαp	2λp)−1−j+iαp	NUM
ap-1852	173	12	×	×	NOUN
ap-1852	173	13	f	f	X
ap-1852	173	14	(	(	PUNCT
ap-1852	173	15	a	a	DET
ap-1852	173	16	,	,	PUNCT
ap-1852	173	17	b	b	NOUN
ap-1852	173	18	,	,	PUNCT
ap-1852	173	19	c;−	c;−	X
ap-1852	173	20	i	i	PRON
ap-1852	173	21	2λp	2λp	NOUN
ap-1852	173	22	(	(	PUNCT
ap-1852	173	23	p+	p+	AUX
ap-1852	173	24	iλe	iλe	VERB
ap-1852	173	25	p−	p−	NOUN
ap-1852	173	26	iλe	iλe	VERB
ap-1852	173	27	)	)	PUNCT
ap-1852	173	28	)	)	PUNCT
ap-1852	174	1	+	+	CCONJ
ap-1852	174	2	(	(	PUNCT
ap-1852	174	3	−1)jeαπ	−1)jeαπ	NOUN
ap-1852	174	4	/	/	SYM
ap-1852	174	5	p	p	NOUN
ap-1852	174	6	γ(j	γ(j	NOUN
ap-1852	174	7	+	+	CCONJ
ap-1852	174	8	1−	1−	NUM
ap-1852	174	9	iαp	iαp	NOUN
ap-1852	174	10	)	)	PUNCT
ap-1852	174	11	(	(	PUNCT
ap-1852	174	12	p−	p−	PROPN
ap-1852	174	13	iλe	iλe	PROPN
ap-1852	174	14	p+	p+	PROPN
ap-1852	174	15	iλe	iλe	PROPN
ap-1852	174	16	)	)	PUNCT
ap-1852	174	17	n+j+1+iαp	n+j+1+iαp	X
ap-1852	174	18	×	×	NOUN
ap-1852	174	19	γ(2j	γ(2j	NUM
ap-1852	174	20	+	+	NOUN
ap-1852	174	21	2)γ(n	2)γ(n	NUM
ap-1852	174	22	+	+	CCONJ
ap-1852	174	23	1	1	NUM
ap-1852	174	24	)	)	PUNCT
ap-1852	174	25	γ(n	γ(n	X
ap-1852	175	1	+	+	CCONJ
ap-1852	175	2	2	2	NUM
ap-1852	175	3	+	+	CCONJ
ap-1852	175	4	j	j	PROPN
ap-1852	175	5	+	+	CCONJ
ap-1852	175	6	iα	iα	PROPN
ap-1852	175	7	/	/	SYM
ap-1852	175	8	p	p	NOUN
ap-1852	175	9	)	)	PUNCT
ap-1852	175	10	(	(	PUNCT
ap-1852	175	11	2λp)−1−j−iαp	2λp)−1−j−iαp	NUM
ap-1852	175	12	×	×	NOUN
ap-1852	175	13	f	f	PROPN
ap-1852	175	14	(	(	PUNCT
ap-1852	175	15	a∗	a∗	ADJ
ap-1852	175	16	,	,	PUNCT
ap-1852	175	17	b∗	b∗	ADJ
ap-1852	175	18	,	,	PUNCT
ap-1852	175	19	c∗	c∗	PROPN
ap-1852	175	20	;	;	PUNCT
ap-1852	175	21	i	i	PRON
ap-1852	175	22	2λp	2λp	NOUN
ap-1852	175	23	(	(	PUNCT
ap-1852	175	24	p−	p−	PROPN
ap-1852	175	25	iλe	iλe	PROPN
ap-1852	175	26	p+	p+	PROPN
ap-1852	175	27	iλe	iλe	PROPN
ap-1852	175	28	)	)	PUNCT
ap-1852	175	29	)	)	PUNCT
ap-1852	175	30	,	,	PUNCT
ap-1852	175	31	(	(	PUNCT
ap-1852	175	32	38	38	NUM
ap-1852	175	33	)	)	PUNCT
ap-1852	175	34	where	where	SCONJ
ap-1852	175	35	a	a	DET
ap-1852	175	36	=	=	SYM
ap-1852	175	37	j	j	PROPN
ap-1852	175	38	+	+	CCONJ
ap-1852	175	39	1−	1−	NUM
ap-1852	175	40	iα	iα	NOUN
ap-1852	175	41	p	p	PROPN
ap-1852	175	42	,	,	PUNCT
ap-1852	175	43	b	b	X
ap-1852	175	44	=	=	PUNCT
ap-1852	175	45	−j	−j	NOUN
ap-1852	175	46	−	−	ADP
ap-1852	175	47	iα	iα	INTJ
ap-1852	175	48	p	p	NOUN
ap-1852	175	49	,	,	PUNCT
ap-1852	175	50	c	c	NOUN
ap-1852	175	51	=	=	SYM
ap-1852	175	52	n	n	PROPN
ap-1852	175	53	+	+	CCONJ
ap-1852	175	54	2	2	NUM
ap-1852	175	55	+	+	CCONJ
ap-1852	175	56	j	j	NOUN
ap-1852	175	57	−	−	NOUN
ap-1852	175	58	iα	iα	INTJ
ap-1852	175	59	p	p	PROPN
ap-1852	175	60	.	.	PUNCT
ap-1852	176	1	(	(	PUNCT
ap-1852	176	2	39	39	NUM
ap-1852	176	3	)	)	PUNCT
ap-1852	176	4	in	in	ADP
ap-1852	176	5	the	the	DET
ap-1852	176	6	limit	limit	NOUN
ap-1852	176	7	r	r	NOUN
ap-1852	176	8	=	=	PUNCT
ap-1852	177	1	λ(n	λ(n	PROPN
ap-1852	177	2	+	+	NUM
ap-1852	177	3	1)→∞	1)→∞	NUM
ap-1852	177	4	this	this	PRON
ap-1852	177	5	can	can	AUX
ap-1852	177	6	be	be	AUX
ap-1852	177	7	simplified	simplify	VERB
ap-1852	177	8	as	as	ADP
ap-1852	177	9	(	(	PUNCT
ap-1852	177	10	for	for	SCONJ
ap-1852	177	11	details	detail	NOUN
ap-1852	177	12	see	see	VERB
ap-1852	177	13	(	(	PUNCT
ap-1852	177	14	[	[	X
ap-1852	177	15	10	10	NUM
ap-1852	177	16	]	]	NUM
ap-1852	177	17	)	)	PUNCT
ap-1852	177	18	):	):	PUNCT
ap-1852	177	19	rej	rej	VERB
ap-1852	177	20	∼	∼	NOUN
ap-1852	177	21	(	(	PUNCT
ap-1852	177	22	−1)j+1i−j−1e−απ/2p	−1)j+1i−j−1e−απ/2p	X
ap-1852	177	23	×	×	NOUN
ap-1852	177	24	γ(2j	γ(2j	NOUN
ap-1852	177	25	+	+	NOUN
ap-1852	177	26	2	2	NUM
ap-1852	177	27	)	)	PUNCT
ap-1852	177	28	γ(j	γ(j	NOUN
ap-1852	177	29	+	+	CCONJ
ap-1852	177	30	1−	1−	NUM
ap-1852	177	31	iα	iα	PROPN
ap-1852	177	32	/	/	SYM
ap-1852	177	33	p	p	NOUN
ap-1852	177	34	)	)	PUNCT
ap-1852	177	35	e−i	e−i	VERB
ap-1852	177	36	α	α	DET
ap-1852	177	37	p	p	NOUN
ap-1852	177	38	ln(2pr	ln(2pr	PROPN
ap-1852	177	39	)	)	PUNCT
ap-1852	177	40	(	(	PUNCT
ap-1852	177	41	2pr)j+1	2pr)j+1	NUM
ap-1852	177	42	×	×	NOUN
ap-1852	177	43	exp	exp	NOUN
ap-1852	177	44	[	[	PUNCT
ap-1852	177	45	−(r	−(r	NOUN
ap-1852	177	46	/	/	SYM
ap-1852	177	47	λ+	λ+	PUNCT
ap-1852	177	48	j	j	PROPN
ap-1852	177	49	+	+	CCONJ
ap-1852	177	50	iα	iα	PROPN
ap-1852	177	51	/	/	SYM
ap-1852	177	52	p	p	NOUN
ap-1852	177	53	)	)	PUNCT
ap-1852	177	54	ln	ln	PROPN
ap-1852	177	55	p+	p+	VERB
ap-1852	177	56	iλe	iλe	VERB
ap-1852	177	57	p−	p−	PROPN
ap-1852	177	58	iλe	iλe	PROPN
ap-1852	177	59	]	]	PUNCT
ap-1852	178	1	+	+	CCONJ
ap-1852	178	2	(	(	PUNCT
ap-1852	178	3	−1)j+1ij+1e−απ/2p	−1)j+1ij+1e−απ/2p	PRON
ap-1852	178	4	×	×	NOUN
ap-1852	178	5	γ(2j	γ(2j	NUM
ap-1852	178	6	+	+	NOUN
ap-1852	178	7	2	2	NUM
ap-1852	178	8	)	)	PUNCT
ap-1852	178	9	γ(j	γ(j	NOUN
ap-1852	178	10	+	+	CCONJ
ap-1852	178	11	1	1	NUM
ap-1852	178	12	+	+	CCONJ
ap-1852	178	13	iα	iα	ADJ
ap-1852	178	14	/	/	SYM
ap-1852	178	15	p	p	NOUN
ap-1852	178	16	)	)	PUNCT
ap-1852	178	17	ei	ei	ADP
ap-1852	178	18	α	α	DET
ap-1852	178	19	p	p	PROPN
ap-1852	178	20	ln(2pr	ln(2pr	PROPN
ap-1852	178	21	)	)	PUNCT
ap-1852	178	22	(	(	PUNCT
ap-1852	178	23	2pr)j+1	2pr)j+1	NUM
ap-1852	178	24	×	×	NOUN
ap-1852	178	25	exp	exp	NOUN
ap-1852	178	26	[	[	PUNCT
ap-1852	178	27	−(r	−(r	NOUN
ap-1852	178	28	/	/	SYM
ap-1852	178	29	λ+	λ+	PUNCT
ap-1852	178	30	j	j	PROPN
ap-1852	178	31	−	−	PROPN
ap-1852	178	32	iα	iα	PROPN
ap-1852	178	33	/	/	SYM
ap-1852	178	34	p	p	NOUN
ap-1852	178	35	)	)	PUNCT
ap-1852	178	36	ln	ln	ADJ
ap-1852	178	37	p−	p−	PROPN
ap-1852	178	38	iλe	iλe	PROPN
ap-1852	178	39	p+	p+	PROPN
ap-1852	178	40	iλe	iλe	PROPN
ap-1852	178	41	]	]	PUNCT
ap-1852	178	42	.	.	PUNCT
ap-1852	179	1	(	(	PUNCT
ap-1852	179	2	40	40	NUM
ap-1852	179	3	)	)	PUNCT
ap-1852	179	4	the	the	DET
ap-1852	179	5	s	s	NOUN
ap-1852	179	6	-	-	NOUN
ap-1852	179	7	matrix	matrix	NOUN
ap-1852	179	8	is	be	AUX
ap-1852	179	9	the	the	DET
ap-1852	179	10	ratio	ratio	NOUN
ap-1852	179	11	of	of	ADP
ap-1852	179	12	the	the	DET
ap-1852	179	13	r	r	NOUN
ap-1852	179	14	-	-	PUNCT
ap-1852	179	15	independent	independent	ADJ
ap-1852	179	16	factors	factor	NOUN
ap-1852	179	17	in	in	ADP
ap-1852	179	18	(	(	PUNCT
ap-1852	179	19	40	40	NUM
ap-1852	179	20	):	):	PUNCT
ap-1852	179	21	sλj	sλj	NOUN
ap-1852	179	22	(	(	PUNCT
ap-1852	179	23	e	e	NOUN
ap-1852	179	24	)	)	PUNCT
ap-1852	180	1	=	=	SYM
ap-1852	180	2	γ(j	γ(j	NOUN
ap-1852	180	3	+	+	CCONJ
ap-1852	180	4	1−	1−	NUM
ap-1852	180	5	iαp	iαp	NOUN
ap-1852	180	6	)	)	PUNCT
ap-1852	181	1	γ(j	γ(j	NOUN
ap-1852	181	2	+	+	CCONJ
ap-1852	181	3	1	1	NUM
ap-1852	181	4	+	+	CCONJ
ap-1852	181	5	iαp	iαp	NOUN
ap-1852	181	6	)	)	PUNCT
ap-1852	181	7	,	,	PUNCT
ap-1852	181	8	e	e	X
ap-1852	181	9	=	=	SYM
ap-1852	181	10	1	1	NUM
ap-1852	181	11	λ2	λ2	NOUN
ap-1852	181	12	(	(	PUNCT
ap-1852	181	13	1	1	NUM
ap-1852	182	1	+	+	CCONJ
ap-1852	182	2	i	i	PRON
ap-1852	182	3	√	√	VERB
ap-1852	183	1	λ2p2	λ2p2	CCONJ
ap-1852	183	2	−	−	PROPN
ap-1852	183	3	1	1	NUM
ap-1852	183	4	)	)	PUNCT
ap-1852	183	5	.	.	PUNCT
ap-1852	184	1	(	(	PUNCT
ap-1852	184	2	41	41	NUM
ap-1852	184	3	)	)	PUNCT
ap-1852	184	4	the	the	DET
ap-1852	184	5	function	function	NOUN
ap-1852	184	6	e	e	NOUN
ap-1852	184	7	=	=	SYM
ap-1852	184	8	e(p	e(p	PROPN
ap-1852	184	9	)	)	PUNCT
ap-1852	184	10	,	,	PUNCT
ap-1852	184	11	given	give	VERB
ap-1852	184	12	above	above	ADV
ap-1852	184	13	with	with	ADP
ap-1852	184	14	a	a	DET
ap-1852	184	15	positive	positive	ADJ
ap-1852	184	16	square	square	ADJ
ap-1852	184	17	root	root	NOUN
ap-1852	184	18	in	in	ADP
ap-1852	184	19	for	for	ADP
ap-1852	184	20	p	p	PROPN
ap-1852	184	21	∈	∈	PROPN
ap-1852	184	22	(	(	PUNCT
ap-1852	184	23	1	1	NUM
ap-1852	184	24	/	/	SYM
ap-1852	184	25	λ,+∞	λ,+∞	PROPN
ap-1852	184	26	)	)	PUNCT
ap-1852	184	27	,	,	PUNCT
ap-1852	184	28	is	be	AUX
ap-1852	184	29	a	a	DET
ap-1852	184	30	conformal	conformal	ADJ
ap-1852	184	31	map	map	NOUN
ap-1852	184	32	inverse	inverse	NOUN
ap-1852	184	33	to	to	ADP
ap-1852	184	34	(	(	PUNCT
ap-1852	184	35	34	34	NUM
ap-1852	184	36	)	)	PUNCT
ap-1852	184	37	,	,	PUNCT
ap-1852	184	38	which	which	PRON
ap-1852	184	39	maps	map	VERB
ap-1852	184	40	the	the	DET
ap-1852	184	41	cut	cut	NOUN
ap-1852	184	42	p	p	NOUN
ap-1852	184	43	right	right	ADJ
ap-1852	184	44	-	-	PUNCT
ap-1852	184	45	half	half	NOUN
ap-1852	184	46	-	-	PUNCT
ap-1852	184	47	plane	plane	NOUN
ap-1852	184	48	into	into	ADP
ap-1852	184	49	the	the	DET
ap-1852	184	50	e	e	NOUN
ap-1852	184	51	upper	upper	ADJ
ap-1852	184	52	-	-	PUNCT
ap-1852	184	53	half	half	ADJ
ap-1852	184	54	-	-	PUNCT
ap-1852	184	55	plane	plane	NOUN
ap-1852	184	56	.	.	PUNCT
ap-1852	185	1	the	the	DET
ap-1852	185	2	physical	physical	ADJ
ap-1852	185	3	-	-	PUNCT
ap-1852	185	4	relevant	relevant	ADJ
ap-1852	185	5	values	value	NOUN
ap-1852	185	6	of	of	ADP
ap-1852	185	7	the	the	DET
ap-1852	185	8	s	s	NOUN
ap-1852	185	9	-	-	NOUN
ap-1852	185	10	matrix	matrix	NOUN
ap-1852	185	11	are	be	AUX
ap-1852	185	12	obtained	obtain	VERB
ap-1852	185	13	as	as	ADP
ap-1852	185	14	sλj	sλj	NOUN
ap-1852	185	15	(	(	PUNCT
ap-1852	185	16	e	e	NOUN
ap-1852	185	17	+	+	CCONJ
ap-1852	185	18	iε	iε	NOUN
ap-1852	185	19	)	)	PUNCT
ap-1852	185	20	in	in	ADP
ap-1852	185	21	the	the	DET
ap-1852	185	22	limit	limit	NOUN
ap-1852	185	23	ε	ε	X
ap-1852	185	24	→	→	SYM
ap-1852	185	25	0	0	NUM
ap-1852	186	1	+	+	NOUN
ap-1852	186	2	.	.	PUNCT
ap-1852	187	1	the	the	DET
ap-1852	187	2	interval	interval	NOUN
ap-1852	187	3	corresponding	correspond	VERB
ap-1852	187	4	to	to	ADP
ap-1852	187	5	the	the	DET
ap-1852	187	6	scattering	scattering	NOUN
ap-1852	187	7	e	e	NOUN
ap-1852	187	8	∈	∈	PROPN
ap-1852	187	9	(	(	PUNCT
ap-1852	187	10	0	0	NUM
ap-1852	187	11	,	,	PUNCT
ap-1852	187	12	2	2	NUM
ap-1852	187	13	/	/	SYM
ap-1852	187	14	λ2	λ2	NOUN
ap-1852	187	15	)	)	PUNCT
ap-1852	187	16	is	be	AUX
ap-1852	187	17	mapped	map	VERB
ap-1852	187	18	onto	onto	ADP
ap-1852	187	19	the	the	DET
ap-1852	187	20	branch	branch	NOUN
ap-1852	187	21	cut	cut	VERB
ap-1852	187	22	in	in	ADP
ap-1852	187	23	the	the	DET
ap-1852	187	24	p	p	NOUN
ap-1852	187	25	-	-	PUNCT
ap-1852	187	26	plane	plane	NOUN
ap-1852	187	27	as	as	SCONJ
ap-1852	187	28	follows	follow	VERB
ap-1852	187	29	:	:	PUNCT
ap-1852	187	30	the	the	DET
ap-1852	187	31	energy	energy	NOUN
ap-1852	187	32	interval	interval	NOUN
ap-1852	187	33	e	e	X
ap-1852	187	34	∈	∈	PROPN
ap-1852	187	35	(	(	PUNCT
ap-1852	187	36	0	0	NUM
ap-1852	187	37	,	,	PUNCT
ap-1852	187	38	1	1	NUM
ap-1852	187	39	/	/	SYM
ap-1852	187	40	λ2	λ2	NOUN
ap-1852	187	41	)	)	PUNCT
ap-1852	187	42	maps	map	NOUN
ap-1852	187	43	on	on	ADP
ap-1852	187	44	the	the	DET
ap-1852	187	45	upper	upper	ADJ
ap-1852	187	46	edge	edge	NOUN
ap-1852	187	47	of	of	ADP
ap-1852	187	48	the	the	DET
ap-1852	187	49	branch	branch	NOUN
ap-1852	187	50	cut	cut	VERB
ap-1852	187	51	p	p	X
ap-1852	187	52	∈	∈	PROPN
ap-1852	187	53	(	(	PUNCT
ap-1852	187	54	0	0	NUM
ap-1852	187	55	,	,	PUNCT
ap-1852	187	56	1	1	NUM
ap-1852	187	57	/	/	SYM
ap-1852	187	58	λ	λ	NOUN
ap-1852	187	59	)	)	PUNCT
ap-1852	187	60	,	,	PUNCT
ap-1852	187	61	whereas	whereas	SCONJ
ap-1852	187	62	e	e	PROPN
ap-1852	187	63	∈	∈	PROPN
ap-1852	187	64	(	(	PUNCT
ap-1852	187	65	1	1	NUM
ap-1852	187	66	/	/	SYM
ap-1852	187	67	λ2	λ2	NOUN
ap-1852	187	68	,	,	PUNCT
ap-1852	187	69	2	2	NUM
ap-1852	187	70	/	/	SYM
ap-1852	187	71	λ2	λ2	PROPN
ap-1852	187	72	)	)	PUNCT
ap-1852	187	73	maps	map	NOUN
ap-1852	187	74	on	on	ADP
ap-1852	187	75	the	the	DET
ap-1852	187	76	upper	upper	ADJ
ap-1852	187	77	edge	edge	NOUN
ap-1852	187	78	of	of	ADP
ap-1852	187	79	the	the	DET
ap-1852	187	80	branch	branch	NOUN
ap-1852	187	81	cut	cut	VERB
ap-1852	187	82	p	p	X
ap-1852	187	83	∈	∈	PROPN
ap-1852	187	84	(	(	PUNCT
ap-1852	187	85	0	0	NUM
ap-1852	187	86	,	,	PUNCT
ap-1852	187	87	1	1	NUM
ap-1852	187	88	/	/	SYM
ap-1852	187	89	λ	λ	NOUN
ap-1852	187	90	)	)	PUNCT
ap-1852	187	91	.	.	PUNCT
ap-1852	188	1	3.4	3.4	NUM
ap-1852	188	2	.	.	PUNCT
ap-1852	188	3	coulomb	coulomb	PROPN
ap-1852	188	4	bound	bind	VERB
ap-1852	188	5	states	state	NOUN
ap-1852	188	6	as	as	ADP
ap-1852	188	7	poles	pole	NOUN
ap-1852	188	8	of	of	ADP
ap-1852	188	9	the	the	DET
ap-1852	188	10	s	s	NOUN
ap-1852	188	11	-	-	NOUN
ap-1852	188	12	matrix	matrix	NOUN
ap-1852	188	13	we	we	PRON
ap-1852	188	14	will	will	AUX
ap-1852	188	15	begin	begin	VERB
ap-1852	188	16	a	a	PRON
ap-1852	188	17	with	with	ADP
ap-1852	188	18	brief	brief	ADJ
ap-1852	188	19	reminder	reminder	NOUN
ap-1852	188	20	of	of	ADP
ap-1852	188	21	the	the	DET
ap-1852	188	22	qm	qm	PROPN
ap-1852	188	23	case	case	NOUN
ap-1852	188	24	:	:	PUNCT
ap-1852	188	25	supposing	suppose	VERB
ap-1852	188	26	the	the	DET
ap-1852	188	27	potential	potential	NOUN
ap-1852	188	28	is	be	AUX
ap-1852	188	29	attractive	attractive	ADJ
ap-1852	188	30	(	(	PUNCT
ap-1852	188	31	α	α	X
ap-1852	188	32	>	>	X
ap-1852	188	33	0	0	NUM
ap-1852	188	34	)	)	PUNCT
ap-1852	188	35	,	,	PUNCT
ap-1852	188	36	the	the	DET
ap-1852	188	37	s	s	NOUN
ap-1852	188	38	-	-	NOUN
ap-1852	188	39	matrix	matrix	NOUN
ap-1852	188	40	(	(	PUNCT
ap-1852	188	41	30	30	NUM
ap-1852	188	42	)	)	PUNCT
ap-1852	188	43	has	have	VERB
ap-1852	188	44	poles	pole	NOUN
ap-1852	188	45	in	in	ADP
ap-1852	188	46	the	the	DET
ap-1852	188	47	upper	upper	ADJ
ap-1852	188	48	complex	complex	NOUN
ap-1852	188	49	k	k	NOUN
ap-1852	188	50	-	-	NOUN
ap-1852	188	51	plane	plane	NOUN
ap-1852	188	52	for	for	ADP
ap-1852	188	53	kn	kn	PROPN
ap-1852	189	1	=	=	PROPN
ap-1852	189	2	i	i	PRON
ap-1852	189	3	α	α	NOUN
ap-1852	189	4	n	n	PROPN
ap-1852	189	5	,	,	PUNCT
ap-1852	189	6	n	n	NOUN
ap-1852	189	7	=	=	SYM
ap-1852	189	8	j	j	PROPN
ap-1852	190	1	+	+	NOUN
ap-1852	190	2	1	1	NUM
ap-1852	190	3	,	,	PUNCT
ap-1852	190	4	j	j	PROPN
ap-1852	190	5	+	+	PROPN
ap-1852	190	6	2	2	NUM
ap-1852	190	7	,	,	PUNCT
ap-1852	190	8	.	.	PUNCT
ap-1852	190	9	.	.	PUNCT
ap-1852	190	10	.	.	PUNCT
ap-1852	191	1	.	.	PUNCT
ap-1852	192	1	(	(	PUNCT
ap-1852	192	2	42	42	X
ap-1852	192	3	)	)	PUNCT
ap-1852	192	4	it	it	PRON
ap-1852	192	5	is	be	AUX
ap-1852	192	6	obvious	obvious	ADJ
ap-1852	192	7	that	that	SCONJ
ap-1852	192	8	the	the	DET
ap-1852	192	9	bound	bound	ADJ
ap-1852	192	10	state	state	NOUN
ap-1852	192	11	energy	energy	NOUN
ap-1852	192	12	levels	level	NOUN
ap-1852	192	13	correspond	correspond	VERB
ap-1852	192	14	to	to	ADP
ap-1852	192	15	the	the	DET
ap-1852	192	16	poles	pole	NOUN
ap-1852	192	17	of	of	ADP
ap-1852	192	18	the	the	DET
ap-1852	192	19	s	s	NOUN
ap-1852	192	20	-	-	NOUN
ap-1852	192	21	matrix	matrix	NOUN
ap-1852	192	22	:	:	PUNCT
ap-1852	192	23	en	en	X
ap-1852	192	24	=	=	SYM
ap-1852	192	25	−	−	PROPN
ap-1852	192	26	α2	α2	PROPN
ap-1852	192	27	2n2	2n2	NUM
ap-1852	192	28	,	,	PUNCT
ap-1852	192	29	n	n	PROPN
ap-1852	192	30	=	=	SYM
ap-1852	192	31	j	j	PROPN
ap-1852	193	1	+	+	NOUN
ap-1852	193	2	1	1	NUM
ap-1852	193	3	,	,	PUNCT
ap-1852	193	4	j	j	PROPN
ap-1852	193	5	+	+	PROPN
ap-1852	193	6	2	2	NUM
ap-1852	193	7	,	,	PUNCT
ap-1852	193	8	.	.	PUNCT
ap-1852	193	9	.	.	PUNCT
ap-1852	193	10	.	.	PUNCT
ap-1852	194	1	.	.	PUNCT
ap-1852	195	1	(	(	PUNCT
ap-1852	195	2	43	43	NUM
ap-1852	195	3	)	)	PUNCT
ap-1852	195	4	in	in	ADP
ap-1852	195	5	ncqm	ncqm	NOUN
ap-1852	195	6	there	there	PRON
ap-1852	195	7	is	be	VERB
ap-1852	195	8	an	an	DET
ap-1852	195	9	analogy	analogy	NOUN
ap-1852	195	10	,	,	PUNCT
ap-1852	195	11	the	the	DET
ap-1852	195	12	poles	pole	NOUN
ap-1852	195	13	of	of	ADP
ap-1852	195	14	the	the	DET
ap-1852	195	15	s	s	NOUN
ap-1852	195	16	-	-	PUNCT
ap-1852	195	17	matrix	matrix	NOUN
ap-1852	195	18	occur	occur	VERB
ap-1852	195	19	in	in	ADP
ap-1852	195	20	the	the	DET
ap-1852	195	21	case	case	NOUN
ap-1852	195	22	of	of	ADP
ap-1852	195	23	attractive	attractive	ADJ
ap-1852	195	24	potential	potential	NOUN
ap-1852	195	25	(	(	PUNCT
ap-1852	195	26	α	α	X
ap-1852	195	27	>	>	X
ap-1852	195	28	0	0	NUM
ap-1852	195	29	)	)	PUNCT
ap-1852	195	30	for	for	ADP
ap-1852	195	31	some	some	DET
ap-1852	195	32	special	special	ADJ
ap-1852	195	33	values	value	NOUN
ap-1852	195	34	of	of	ADP
ap-1852	195	35	energy	energy	NOUN
ap-1852	195	36	below	below	ADP
ap-1852	195	37	0	0	NUM
ap-1852	195	38	.	.	PUNCT
ap-1852	196	1	however	however	ADV
ap-1852	196	2	,	,	PUNCT
ap-1852	196	3	poles	pole	NOUN
ap-1852	196	4	can	can	AUX
ap-1852	196	5	also	also	ADV
ap-1852	196	6	be	be	AUX
ap-1852	196	7	found	find	VERB
ap-1852	196	8	in	in	ADP
ap-1852	196	9	the	the	DET
ap-1852	196	10	case	case	NOUN
ap-1852	196	11	of	of	ADP
ap-1852	196	12	repulsive	repulsive	ADJ
ap-1852	196	13	potential	potential	NOUN
ap-1852	196	14	(	(	PUNCT
ap-1852	196	15	α	α	X
ap-1852	196	16	<	<	X
ap-1852	196	17	0	0	NUM
ap-1852	196	18	)	)	PUNCT
ap-1852	196	19	for	for	ADP
ap-1852	196	20	particular	particular	ADJ
ap-1852	196	21	values	value	NOUN
ap-1852	196	22	of	of	ADP
ap-1852	196	23	energy	energy	NOUN
ap-1852	196	24	above	above	ADP
ap-1852	196	25	2	2	NUM
ap-1852	196	26	/	/	SYM
ap-1852	196	27	λ2	λ2	NOUN
ap-1852	196	28	.	.	PUNCT
ap-1852	197	1	(	(	PUNCT
ap-1852	197	2	1	1	NUM
ap-1852	197	3	.	.	PUNCT
ap-1852	197	4	)	)	PUNCT
ap-1852	198	1	poles	pole	NOUN
ap-1852	198	2	of	of	ADP
ap-1852	198	3	the	the	DET
ap-1852	198	4	s	s	NOUN
ap-1852	198	5	-	-	NOUN
ap-1852	198	6	matrix	matrix	NOUN
ap-1852	198	7	for	for	ADP
ap-1852	198	8	attractive	attractive	ADJ
ap-1852	198	9	potential	potential	NOUN
ap-1852	198	10	.	.	PUNCT
ap-1852	199	1	pλn	pλn	PROPN
ap-1852	199	2	=	=	SYM
ap-1852	200	1	i	i	PRON
ap-1852	200	2	α	α	PROPN
ap-1852	200	3	n	n	VERB
ap-1852	200	4	α	α	X
ap-1852	200	5	>	>	X
ap-1852	200	6	0	0	PUNCT
ap-1852	201	1	⇐	⇐	ADJ
ap-1852	201	2	⇒	⇒	PROPN
ap-1852	201	3	eiλn	eiλn	NOUN
ap-1852	201	4	=	=	SYM
ap-1852	201	5	1	1	NUM
ap-1852	201	6	λ2	λ2	NOUN
ap-1852	201	7	(	(	PUNCT
ap-1852	201	8	1−	1−	NUM
ap-1852	201	9	√	√	NUM
ap-1852	201	10	1	1	NUM
ap-1852	201	11	+	+	CCONJ
ap-1852	201	12	(	(	PUNCT
ap-1852	201	13	λα	λα	NOUN
ap-1852	201	14	/	/	SYM
ap-1852	201	15	n)2	n)2	PROPN
ap-1852	201	16	)	)	PUNCT
ap-1852	201	17	<	<	X
ap-1852	201	18	0	0	NUM
ap-1852	201	19	,	,	PUNCT
ap-1852	201	20	n	n	NOUN
ap-1852	201	21	=	=	SYM
ap-1852	201	22	j	j	PROPN
ap-1852	201	23	+	+	NOUN
ap-1852	201	24	1	1	NUM
ap-1852	201	25	,	,	PUNCT
ap-1852	201	26	j	j	PROPN
ap-1852	201	27	+	+	PROPN
ap-1852	201	28	2	2	NUM
ap-1852	201	29	,	,	PUNCT
ap-1852	201	30	.	.	PUNCT
ap-1852	201	31	.	.	PUNCT
ap-1852	201	32	.	.	PUNCT
ap-1852	201	33	.	.	PUNCT
ap-1852	202	1	(	(	PUNCT
ap-1852	202	2	44	44	NUM
ap-1852	202	3	)	)	PUNCT
ap-1852	202	4	in	in	ADP
ap-1852	202	5	the	the	DET
ap-1852	202	6	limit	limit	NOUN
ap-1852	202	7	λ→	λ→	PUNCT
ap-1852	202	8	0	0	NUM
ap-1852	202	9	this	this	PRON
ap-1852	202	10	coincides	coincide	VERB
ap-1852	202	11	with	with	ADP
ap-1852	202	12	the	the	DET
ap-1852	202	13	standard	standard	ADJ
ap-1852	202	14	self	self	NOUN
ap-1852	202	15	-	-	PUNCT
ap-1852	202	16	energies	energy	NOUN
ap-1852	202	17	(	(	PUNCT
ap-1852	202	18	43	43	NUM
ap-1852	202	19	)	)	PUNCT
ap-1852	202	20	.	.	PUNCT
ap-1852	203	1	let	let	VERB
ap-1852	203	2	us	we	PRON
ap-1852	203	3	denote	denote	VERB
ap-1852	203	4	κn	κn	PROPN
ap-1852	203	5	=	=	PUNCT
ap-1852	203	6	λα	λα	PROPN
ap-1852	203	7	n	n	X
ap-1852	203	8	,	,	PUNCT
ap-1852	203	9	ωi	ωi	NUM
ap-1852	203	10	n	n	NOUN
ap-1852	203	11	=	=	PROPN
ap-1852	203	12	κn	κn	NOUN
ap-1852	203	13	−	−	PROPN
ap-1852	203	14	√	√	NOUN
ap-1852	203	15	1	1	NUM
ap-1852	204	1	+	+	NUM
ap-1852	204	2	κ2	κ2	NOUN
ap-1852	204	3	n	n	PROPN
ap-1852	204	4	+	+	CCONJ
ap-1852	204	5	1	1	NUM
ap-1852	204	6	κn	κn	NOUN
ap-1852	204	7	+	+	CCONJ
ap-1852	204	8	√	√	NUM
ap-1852	204	9	1	1	NUM
ap-1852	204	10	+	+	NUM
ap-1852	204	11	κ2	κ2	NOUN
ap-1852	204	12	n	n	CCONJ
ap-1852	204	13	−	−	PROPN
ap-1852	204	14	1	1	NUM
ap-1852	204	15	.	.	PUNCT
ap-1852	205	1	(	(	PUNCT
ap-1852	205	2	45	45	NUM
ap-1852	205	3	)	)	PUNCT
ap-1852	205	4	then	then	ADV
ap-1852	205	5	the	the	DET
ap-1852	205	6	solution	solution	NOUN
ap-1852	205	7	(	(	PUNCT
ap-1852	205	8	35	35	NUM
ap-1852	205	9	)	)	PUNCT
ap-1852	205	10	is	be	AUX
ap-1852	205	11	ri	ri	PROPN
ap-1852	205	12	nj	nj	PROPN
ap-1852	205	13	=	=	PUNCT
ap-1852	206	1	(	(	PUNCT
ap-1852	206	2	ωi	ωi	PROPN
ap-1852	206	3	n)nf	n)nf	PROPN
ap-1852	206	4	(	(	PUNCT
ap-1852	206	5	−n,−n	−n,−n	ADV
ap-1852	206	6	,	,	PUNCT
ap-1852	206	7	2j	2j	X
ap-1852	206	8	+	+	CCONJ
ap-1852	206	9	2;−2κn(ωi	2;−2κn(ωi	NUM
ap-1852	206	10	n)−1	n)−1	NOUN
ap-1852	206	11	)	)	PUNCT
ap-1852	206	12	.	.	PUNCT
ap-1852	207	1	(	(	PUNCT
ap-1852	207	2	46	46	X
ap-1852	207	3	)	)	PUNCT
ap-1852	207	4	it	it	PRON
ap-1852	207	5	is	be	AUX
ap-1852	207	6	integrable	integrable	ADJ
ap-1852	207	7	since	since	SCONJ
ap-1852	207	8	ωn	ωn	ADP
ap-1852	207	9	∈	∈	PROPN
ap-1852	207	10	(	(	PUNCT
ap-1852	207	11	0	0	NUM
ap-1852	207	12	,	,	PUNCT
ap-1852	207	13	1	1	NUM
ap-1852	207	14	)	)	PUNCT
ap-1852	207	15	for	for	ADP
ap-1852	207	16	positive	positive	ADJ
ap-1852	207	17	κn	κn	NOUN
ap-1852	207	18	and	and	CCONJ
ap-1852	207	19	under	under	ADP
ap-1852	207	20	given	give	VERB
ap-1852	207	21	conditions	condition	NOUN
ap-1852	207	22	the	the	DET
ap-1852	207	23	hypergeometric	hypergeometric	ADJ
ap-1852	207	24	function	function	NOUN
ap-1852	207	25	is	be	AUX
ap-1852	207	26	a	a	DET
ap-1852	207	27	polynomial	polynomial	ADJ
ap-1852	207	28	.	.	PUNCT
ap-1852	208	1	(	(	PUNCT
ap-1852	208	2	2	2	NUM
ap-1852	208	3	.	.	NUM
ap-1852	208	4	)	)	PUNCT
ap-1852	209	1	poles	pole	NOUN
ap-1852	209	2	of	of	ADP
ap-1852	209	3	the	the	DET
ap-1852	209	4	s	s	NOUN
ap-1852	209	5	-	-	NOUN
ap-1852	209	6	matrix	matrix	NOUN
ap-1852	209	7	for	for	ADP
ap-1852	209	8	repulsive	repulsive	ADJ
ap-1852	209	9	potential	potential	NOUN
ap-1852	209	10	.	.	PUNCT
ap-1852	210	1	pλn	pλn	PROPN
ap-1852	210	2	=	=	SYM
ap-1852	211	1	i	i	PRON
ap-1852	211	2	α	α	PROPN
ap-1852	211	3	n	n	VERB
ap-1852	211	4	α	α	NOUN
ap-1852	211	5	<	<	X
ap-1852	211	6	0	0	NUM
ap-1852	211	7	⇐	⇐	PROPN
ap-1852	211	8	⇒	⇒	PROPN
ap-1852	211	9	eii	eii	PROPN
ap-1852	211	10	λn	λn	NOUN
ap-1852	211	11	=	=	SYM
ap-1852	211	12	1	1	NUM
ap-1852	211	13	λ2	λ2	NOUN
ap-1852	211	14	(	(	PUNCT
ap-1852	211	15	1	1	NUM
ap-1852	211	16	+	+	CCONJ
ap-1852	211	17	√	√	NUM
ap-1852	211	18	1	1	NUM
ap-1852	211	19	+	+	CCONJ
ap-1852	211	20	(	(	PUNCT
ap-1852	211	21	λα	λα	NOUN
ap-1852	211	22	/	/	SYM
ap-1852	211	23	n)2	n)2	PROPN
ap-1852	211	24	)	)	PUNCT
ap-1852	211	25	>	>	X
ap-1852	211	26	2	2	NUM
ap-1852	211	27	/	/	SYM
ap-1852	211	28	λ2	λ2	PROPN
ap-1852	211	29	,	,	PUNCT
ap-1852	211	30	n	n	NOUN
ap-1852	211	31	=	=	SYM
ap-1852	211	32	j	j	PROPN
ap-1852	211	33	+	+	NOUN
ap-1852	211	34	1	1	NUM
ap-1852	211	35	,	,	PUNCT
ap-1852	211	36	j	j	PROPN
ap-1852	211	37	+	+	PROPN
ap-1852	211	38	2	2	NUM
ap-1852	211	39	,	,	PUNCT
ap-1852	211	40	.	.	PUNCT
ap-1852	211	41	.	.	PUNCT
ap-1852	211	42	.	.	PUNCT
ap-1852	211	43	.	.	PUNCT
ap-1852	212	1	(	(	PUNCT
ap-1852	212	2	47	47	NUM
ap-1852	212	3	)	)	PUNCT
ap-1852	212	4	now	now	ADV
ap-1852	212	5	(	(	PUNCT
ap-1852	212	6	35	35	NUM
ap-1852	212	7	)	)	PUNCT
ap-1852	212	8	has	have	VERB
ap-1852	212	9	the	the	DET
ap-1852	212	10	form	form	NOUN
ap-1852	212	11	rii	rii	VERB
ap-1852	212	12	nj	nj	PROPN
ap-1852	212	13	=	=	PUNCT
ap-1852	212	14	(	(	PUNCT
ap-1852	212	15	−ωii	−ωii	PRON
ap-1852	212	16	n	n	CCONJ
ap-1852	212	17	)	)	PUNCT
ap-1852	212	18	nf	nf	NOUN
ap-1852	212	19	(	(	PUNCT
ap-1852	212	20	−n,−n	−n,−n	ADV
ap-1852	212	21	,	,	PUNCT
ap-1852	212	22	2j	2j	X
ap-1852	213	1	+	+	CCONJ
ap-1852	213	2	2	2	NUM
ap-1852	213	3	;	;	PUNCT
ap-1852	213	4	2κn(ωii	2κn(ωii	NUM
ap-1852	213	5	n	n	NOUN
ap-1852	213	6	)	)	PUNCT
ap-1852	213	7	−1	−1	NOUN
ap-1852	213	8	)	)	PUNCT
ap-1852	213	9	,	,	PUNCT
ap-1852	213	10	(	(	PUNCT
ap-1852	213	11	48	48	NUM
ap-1852	213	12	)	)	PUNCT
ap-1852	213	13	where	where	SCONJ
ap-1852	213	14	ωii	ωii	NOUN
ap-1852	213	15	n	n	NOUN
ap-1852	213	16	=	=	SYM
ap-1852	214	1	−	−	PROPN
ap-1852	214	2	κn	κn	NOUN
ap-1852	214	3	+	+	CCONJ
ap-1852	214	4	√	√	NUM
ap-1852	214	5	1	1	NUM
ap-1852	214	6	+	+	NUM
ap-1852	214	7	κ2	κ2	NOUN
ap-1852	214	8	n	n	PROPN
ap-1852	214	9	+	+	CCONJ
ap-1852	214	10	1	1	NUM
ap-1852	214	11	κn	κn	NOUN
ap-1852	214	12	−	−	PROPN
ap-1852	214	13	√	√	NOUN
ap-1852	214	14	1	1	NUM
ap-1852	214	15	+	+	NUM
ap-1852	214	16	κ2	κ2	NOUN
ap-1852	214	17	n	n	CCONJ
ap-1852	214	18	−	−	PROPN
ap-1852	214	19	1	1	NUM
ap-1852	214	20	.	.	PUNCT
ap-1852	215	1	(	(	PUNCT
ap-1852	215	2	49	49	NUM
ap-1852	215	3	)	)	PUNCT
ap-1852	215	4	the	the	DET
ap-1852	215	5	definition	definition	NOUN
ap-1852	215	6	of	of	ADP
ap-1852	215	7	κn	κn	NOUN
ap-1852	215	8	is	be	AUX
ap-1852	215	9	the	the	DET
ap-1852	215	10	same	same	ADJ
ap-1852	215	11	as	as	ADP
ap-1852	215	12	in	in	ADP
ap-1852	215	13	(	(	PUNCT
ap-1852	215	14	45	45	NUM
ap-1852	215	15	)	)	PUNCT
ap-1852	215	16	(	(	PUNCT
ap-1852	215	17	note	note	VERB
ap-1852	215	18	that	that	SCONJ
ap-1852	215	19	it	it	PRON
ap-1852	215	20	is	be	AUX
ap-1852	215	21	negative	negative	ADJ
ap-1852	215	22	this	this	DET
ap-1852	215	23	time	time	NOUN
ap-1852	215	24	)	)	PUNCT
ap-1852	215	25	.	.	PUNCT
ap-1852	216	1	since	since	SCONJ
ap-1852	216	2	ωii	ωii	NOUN
ap-1852	216	3	n	n	NOUN
ap-1852	216	4	=	=	SYM
ap-1852	216	5	ωi	ωi	PUNCT
ap-1852	216	6	n	n	PRON
ap-1852	216	7	∈	∈	PROPN
ap-1852	216	8	(	(	PUNCT
ap-1852	216	9	0	0	NUM
ap-1852	216	10	,	,	PUNCT
ap-1852	216	11	1	1	NUM
ap-1852	216	12	)	)	PUNCT
ap-1852	216	13	the	the	DET
ap-1852	216	14	solution	solution	NOUN
ap-1852	216	15	(	(	PUNCT
ap-1852	216	16	35	35	NUM
ap-1852	216	17	)	)	PUNCT
ap-1852	216	18	is	be	AUX
ap-1852	216	19	integrable	integrable	ADJ
ap-1852	216	20	because	because	SCONJ
ap-1852	216	21	the	the	DET
ap-1852	216	22	hypergeometric	hypergeometric	ADJ
ap-1852	216	23	function	function	NOUN
ap-1852	216	24	terminates	terminate	VERB
ap-1852	216	25	as	as	ADP
ap-1852	216	26	in	in	ADP
ap-1852	216	27	the	the	DET
ap-1852	216	28	previous	previous	ADJ
ap-1852	216	29	case	case	NOUN
ap-1852	216	30	.	.	PUNCT
ap-1852	217	1	these	these	DET
ap-1852	217	2	states	state	NOUN
ap-1852	217	3	disappear	disappear	VERB
ap-1852	217	4	from	from	ADP
ap-1852	217	5	the	the	DET
ap-1852	217	6	hilbert	hilbert	NOUN
ap-1852	217	7	space	space	NOUN
ap-1852	217	8	in	in	ADP
ap-1852	217	9	the	the	DET
ap-1852	217	10	limit	limit	NOUN
ap-1852	217	11	λ→	λ→	PUNCT
ap-1852	217	12	0	0	NUM
ap-1852	217	13	.	.	NUM
ap-1852	218	1	431	431	NUM
ap-1852	218	2	v.	v.	ADP
ap-1852	218	3	gáliková	gáliková	PROPN
ap-1852	218	4	,	,	PUNCT
ap-1852	218	5	p.	p.	NOUN
ap-1852	218	6	prešnajder	prešnajder	NOUN
ap-1852	218	7	acta	acta	PROPN
ap-1852	218	8	polytechnica	polytechnica	PROPN
ap-1852	218	9	4	4	NUM
ap-1852	218	10	.	.	PUNCT
ap-1852	219	1	conclusions	conclusion	NOUN
ap-1852	219	2	in	in	ADP
ap-1852	219	3	this	this	DET
ap-1852	219	4	paper	paper	NOUN
ap-1852	219	5	we	we	PRON
ap-1852	219	6	have	have	AUX
ap-1852	219	7	investigated	investigate	VERB
ap-1852	219	8	the	the	DET
ap-1852	219	9	coulomb	coulomb	NOUN
ap-1852	219	10	scattering	scattering	NOUN
ap-1852	219	11	in	in	ADP
ap-1852	219	12	ncqm	ncqm	NOUN
ap-1852	219	13	in	in	ADP
ap-1852	219	14	the	the	DET
ap-1852	219	15	framework	framework	NOUN
ap-1852	219	16	of	of	ADP
ap-1852	219	17	the	the	DET
ap-1852	219	18	model	model	NOUN
ap-1852	219	19	formulated	formulate	VERB
ap-1852	219	20	in	in	ADP
ap-1852	219	21	[	[	X
ap-1852	219	22	9	9	NUM
ap-1852	219	23	]	]	PUNCT
ap-1852	219	24	and	and	CCONJ
ap-1852	219	25	[	[	X
ap-1852	219	26	10	10	NUM
ap-1852	219	27	]	]	PUNCT
ap-1852	219	28	.	.	PUNCT
ap-1852	220	1	as	as	SCONJ
ap-1852	220	2	the	the	DET
ap-1852	220	3	model	model	NOUN
ap-1852	220	4	is	be	AUX
ap-1852	220	5	exactly	exactly	ADV
ap-1852	220	6	solvable	solvable	ADJ
ap-1852	220	7	,	,	PUNCT
ap-1852	220	8	we	we	PRON
ap-1852	220	9	were	be	AUX
ap-1852	220	10	able	able	ADJ
ap-1852	220	11	to	to	PART
ap-1852	220	12	find	find	VERB
ap-1852	220	13	an	an	DET
ap-1852	220	14	exact	exact	ADJ
ap-1852	220	15	formula	formula	NOUN
ap-1852	220	16	for	for	ADP
ap-1852	220	17	the	the	DET
ap-1852	220	18	nc	nc	PROPN
ap-1852	220	19	coulomb	coulomb	PROPN
ap-1852	220	20	scattering	scatter	VERB
ap-1852	220	21	matrix	matrix	NOUN
ap-1852	220	22	sλj	sλj	NOUN
ap-1852	220	23	(	(	PUNCT
ap-1852	220	24	e	e	NOUN
ap-1852	220	25	)	)	PUNCT
ap-1852	220	26	in	in	ADP
ap-1852	220	27	j	j	PROPN
ap-1852	220	28	-	-	PUNCT
ap-1852	220	29	th	th	VERB
ap-1852	220	30	partial	partial	ADJ
ap-1852	220	31	wave	wave	NOUN
ap-1852	220	32	.	.	PUNCT
ap-1852	221	1	we	we	PRON
ap-1852	221	2	found	find	VERB
ap-1852	221	3	that	that	SCONJ
ap-1852	221	4	it	it	PRON
ap-1852	221	5	turns	turn	VERB
ap-1852	221	6	out	out	ADP
ap-1852	221	7	to	to	PART
ap-1852	221	8	have	have	VERB
ap-1852	221	9	remarkable	remarkable	ADJ
ap-1852	221	10	non	non	ADJ
ap-1852	221	11	-	-	ADJ
ap-1852	221	12	perturbative	perturbative	ADJ
ap-1852	221	13	aspects	aspect	NOUN
ap-1852	221	14	:	:	PUNCT
ap-1852	221	15	(	(	PUNCT
ap-1852	221	16	1	1	NUM
ap-1852	221	17	.	.	PUNCT
ap-1852	221	18	)	)	PUNCT
ap-1852	222	1	energy	energy	NOUN
ap-1852	222	2	cut	cut	NOUN
ap-1852	222	3	-	-	PUNCT
ap-1852	222	4	off	off	NOUN
ap-1852	222	5	—	—	PUNCT
ap-1852	222	6	the	the	DET
ap-1852	222	7	scattering	scattering	NOUN
ap-1852	222	8	is	be	AUX
ap-1852	222	9	restricted	restrict	VERB
ap-1852	222	10	to	to	ADP
ap-1852	222	11	the	the	DET
ap-1852	222	12	energy	energy	NOUN
ap-1852	222	13	interval	interval	NOUN
ap-1852	222	14	0	0	PUNCT
ap-1852	222	15	<	<	X
ap-1852	222	16	e	e	X
ap-1852	222	17	<	<	X
ap-1852	222	18	ecrit	ecrit	X
ap-1852	222	19	=	=	SYM
ap-1852	222	20	2	2	NUM
ap-1852	222	21	/	/	SYM
ap-1852	222	22	λ2	λ2	NOUN
ap-1852	222	23	;	;	PUNCT
ap-1852	222	24	(	(	PUNCT
ap-1852	222	25	2	2	NUM
ap-1852	222	26	.	.	PUNCT
ap-1852	222	27	)	)	PUNCT
ap-1852	223	1	sλj	sλj	NOUN
ap-1852	223	2	(	(	PUNCT
ap-1852	223	3	e	e	NOUN
ap-1852	223	4	)	)	PUNCT
ap-1852	223	5	has	have	VERB
ap-1852	223	6	two	two	NUM
ap-1852	223	7	sets	set	NOUN
ap-1852	223	8	of	of	ADP
ap-1852	223	9	poles	pole	NOUN
ap-1852	223	10	in	in	ADP
ap-1852	223	11	the	the	DET
ap-1852	223	12	complex	complex	ADJ
ap-1852	223	13	energy	energy	NOUN
ap-1852	223	14	plane	plane	NOUN
ap-1852	223	15	:	:	PUNCT
ap-1852	223	16	as	as	SCONJ
ap-1852	223	17	expected	expect	VERB
ap-1852	223	18	,	,	PUNCT
ap-1852	223	19	the	the	DET
ap-1852	223	20	poles	pole	NOUN
ap-1852	223	21	at	at	ADP
ap-1852	223	22	negative	negative	ADJ
ap-1852	223	23	energy	energy	NOUN
ap-1852	223	24	ei	ei	NOUN
ap-1852	223	25	λn	λn	X
ap-1852	223	26	<	<	X
ap-1852	223	27	0	0	NUM
ap-1852	223	28	for	for	ADP
ap-1852	223	29	attractive	attractive	ADJ
ap-1852	223	30	coulomb	coulomb	NOUN
ap-1852	223	31	potential	potential	NOUN
ap-1852	223	32	that	that	PRON
ap-1852	223	33	reduce	reduce	VERB
ap-1852	223	34	to	to	ADP
ap-1852	223	35	the	the	DET
ap-1852	223	36	standard	standard	ADJ
ap-1852	223	37	h	h	NOUN
ap-1852	223	38	-	-	PUNCT
ap-1852	223	39	atom	atom	NOUN
ap-1852	223	40	bound	bind	VERB
ap-1852	223	41	states	state	NOUN
ap-1852	223	42	energies	energy	NOUN
ap-1852	223	43	in	in	ADP
ap-1852	223	44	the	the	DET
ap-1852	223	45	commutative	commutative	ADJ
ap-1852	223	46	limit	limit	NOUN
ap-1852	223	47	λ→	λ→	PUNCT
ap-1852	223	48	0	0	NUM
ap-1852	223	49	,	,	PUNCT
ap-1852	223	50	and	and	CCONJ
ap-1852	223	51	poles	pole	NOUN
ap-1852	223	52	at	at	ADP
ap-1852	223	53	ultrahigh	ultrahigh	ADJ
ap-1852	223	54	energies	energy	NOUN
ap-1852	223	55	eii	eii	X
ap-1852	223	56	λn	λn	PROPN
ap-1852	223	57	=	=	PUNCT
ap-1852	223	58	ecrit−eλn	ecrit−eλn	PROPN
ap-1852	223	59	>	>	X
ap-1852	223	60	ecrit	ecrit	PROPN
ap-1852	223	61	for	for	ADP
ap-1852	223	62	repulsive	repulsive	ADJ
ap-1852	223	63	coulomb	coulomb	NOUN
ap-1852	223	64	potential	potential	NOUN
ap-1852	223	65	which	which	PRON
ap-1852	223	66	disappear	disappear	VERB
ap-1852	223	67	for	for	ADP
ap-1852	223	68	λ→	λ→	PROPN
ap-1852	223	69	0	0	NUM
ap-1852	223	70	.	.	PUNCT
ap-1852	224	1	in	in	ADP
ap-1852	224	2	[	[	X
ap-1852	224	3	10	10	NUM
ap-1852	224	4	]	]	PUNCT
ap-1852	224	5	these	these	DET
ap-1852	224	6	results	result	NOUN
ap-1852	224	7	have	have	AUX
ap-1852	224	8	been	be	AUX
ap-1852	224	9	confirmed	confirm	VERB
ap-1852	224	10	by	by	ADP
ap-1852	224	11	a	a	DET
ap-1852	224	12	direct	direct	ADJ
ap-1852	224	13	solution	solution	NOUN
ap-1852	224	14	of	of	ADP
ap-1852	224	15	the	the	DET
ap-1852	224	16	corresponding	corresponding	ADJ
ap-1852	224	17	nc	nc	PROPN
ap-1852	224	18	radial	radial	ADJ
ap-1852	224	19	schrödinger	schrödinger	ADJ
ap-1852	224	20	equation	equation	NOUN
ap-1852	224	21	.	.	PUNCT
ap-1852	225	1	the	the	DET
ap-1852	225	2	analytic	analytic	ADJ
ap-1852	225	3	properties	property	NOUN
ap-1852	225	4	of	of	ADP
ap-1852	225	5	sλj	sλj	NOUN
ap-1852	225	6	(	(	PUNCT
ap-1852	225	7	e	e	NOUN
ap-1852	225	8	)	)	PUNCT
ap-1852	225	9	in	in	ADP
ap-1852	225	10	the	the	DET
ap-1852	225	11	complex	complex	ADJ
ap-1852	225	12	energy	energy	NOUN
ap-1852	225	13	plane	plane	NOUN
ap-1852	225	14	indicate	indicate	VERB
ap-1852	225	15	that	that	SCONJ
ap-1852	225	16	the	the	DET
ap-1852	225	17	aspects	aspect	NOUN
ap-1852	225	18	of	of	ADP
ap-1852	225	19	causality	causality	NOUN
ap-1852	225	20	in	in	ADP
ap-1852	225	21	ncqm	ncqm	NOUN
ap-1852	225	22	,	,	PUNCT
ap-1852	225	23	within	within	ADP
ap-1852	225	24	investigated	investigated	ADJ
ap-1852	225	25	model	model	NOUN
ap-1852	225	26	,	,	PUNCT
ap-1852	225	27	are	be	AUX
ap-1852	225	28	fully	fully	ADV
ap-1852	225	29	consistent	consistent	ADJ
ap-1852	225	30	with	with	ADP
ap-1852	225	31	the	the	DET
ap-1852	225	32	standard	standard	ADJ
ap-1852	225	33	rôle	rôle	NOUN
ap-1852	225	34	and	and	CCONJ
ap-1852	225	35	interpretation	interpretation	NOUN
ap-1852	225	36	of	of	ADP
ap-1852	225	37	s	s	NOUN
ap-1852	225	38	-	-	PUNCT
ap-1852	225	39	matrix	matrix	NOUN
ap-1852	225	40	poles	pole	NOUN
ap-1852	225	41	.	.	PUNCT
ap-1852	226	1	in	in	ADP
ap-1852	226	2	[	[	X
ap-1852	226	3	14	14	NUM
ap-1852	226	4	]	]	PUNCT
ap-1852	226	5	we	we	PRON
ap-1852	226	6	constructed	construct	VERB
ap-1852	226	7	the	the	DET
ap-1852	226	8	laplace	laplace	NOUN
ap-1852	226	9	-	-	PUNCT
ap-1852	226	10	runge	runge	NOUN
ap-1852	226	11	-	-	PUNCT
ap-1852	226	12	lenz	lenz	PROPN
ap-1852	226	13	vector	vector	PROPN
ap-1852	226	14	akλ(e	akλ(e	PROPN
ap-1852	226	15	)	)	PUNCT
ap-1852	226	16	,	,	PUNCT
ap-1852	226	17	k	k	X
ap-1852	227	1	=	=	SYM
ap-1852	227	2	1	1	NUM
ap-1852	227	3	,	,	PUNCT
ap-1852	227	4	2	2	NUM
ap-1852	227	5	,	,	PUNCT
ap-1852	227	6	3	3	NUM
ap-1852	227	7	,	,	PUNCT
ap-1852	227	8	within	within	ADP
ap-1852	227	9	our	our	PRON
ap-1852	227	10	nc	nc	PROPN
ap-1852	227	11	coulomb	coulomb	PROPN
ap-1852	227	12	model	model	PROPN
ap-1852	227	13	.	.	PUNCT
ap-1852	228	1	we	we	PRON
ap-1852	228	2	found	find	VERB
ap-1852	228	3	that	that	SCONJ
ap-1852	228	4	at	at	ADP
ap-1852	228	5	fixed	fix	VERB
ap-1852	228	6	energy	energy	NOUN
ap-1852	228	7	level	level	NOUN
ap-1852	228	8	e	e	X
ap-1852	228	9	<	<	X
ap-1852	228	10	0	0	PUNCT
ap-1852	228	11	and	and	CCONJ
ap-1852	228	12	e	e	X
ap-1852	228	13	>	>	X
ap-1852	228	14	ecrit	ecrit	PROPN
ap-1852	228	15	the	the	DET
ap-1852	228	16	model	model	NOUN
ap-1852	228	17	shows	show	VERB
ap-1852	228	18	dynamical	dynamical	ADJ
ap-1852	228	19	so(4	so(4	PROPN
ap-1852	228	20	)	)	PUNCT
ap-1852	228	21	symmetry	symmetry	NOUN
ap-1852	228	22	with	with	ADP
ap-1852	228	23	two	two	NUM
ap-1852	228	24	sets	set	NOUN
ap-1852	228	25	of	of	ADP
ap-1852	228	26	bound	bind	VERB
ap-1852	228	27	states	state	NOUN
ap-1852	228	28	for	for	ADP
ap-1852	228	29	e	e	NOUN
ap-1852	228	30	=	=	NOUN
ap-1852	228	31	ei	ei	PART
ap-1852	228	32	λn	λn	NOUN
ap-1852	228	33	and	and	CCONJ
ap-1852	228	34	e	e	PROPN
ap-1852	228	35	=	=	PROPN
ap-1852	228	36	eii	eii	PROPN
ap-1852	228	37	λn	λn	PROPN
ap-1852	228	38	,	,	PUNCT
ap-1852	228	39	whereas	whereas	SCONJ
ap-1852	228	40	for	for	ADP
ap-1852	228	41	the	the	DET
ap-1852	228	42	scattering	scatter	VERB
ap-1852	228	43	regime	regime	NOUN
ap-1852	228	44	0	0	NUM
ap-1852	228	45	<	<	X
ap-1852	228	46	e	e	X
ap-1852	228	47	<	<	X
ap-1852	228	48	ecrit	ecrit	X
ap-1852	228	49	=	=	SYM
ap-1852	228	50	2	2	NUM
ap-1852	228	51	/	/	SYM
ap-1852	228	52	λ2	λ2	NOUN
ap-1852	228	53	the	the	DET
ap-1852	228	54	dynamical	dynamical	ADJ
ap-1852	228	55	symmetry	symmetry	NOUN
ap-1852	228	56	is	be	AUX
ap-1852	228	57	so(3	so(3	NOUN
ap-1852	228	58	,	,	PUNCT
ap-1852	228	59	1	1	NUM
ap-1852	228	60	)	)	PUNCT
ap-1852	228	61	,	,	PUNCT
ap-1852	228	62	exactly	exactly	ADV
ap-1852	228	63	as	as	ADP
ap-1852	228	64	in	in	ADP
ap-1852	228	65	the	the	DET
ap-1852	228	66	standard	standard	ADJ
ap-1852	228	67	coulomb	coulomb	NOUN
ap-1852	228	68	problem	problem	NOUN
ap-1852	228	69	.	.	PUNCT
ap-1852	229	1	in	in	ADP
ap-1852	229	2	conclusion	conclusion	NOUN
ap-1852	229	3	we	we	PRON
ap-1852	229	4	claim	claim	VERB
ap-1852	229	5	that	that	SCONJ
ap-1852	229	6	the	the	DET
ap-1852	229	7	investigated	investigate	VERB
ap-1852	229	8	coulomb	coulomb	NOUN
ap-1852	229	9	nc	nc	PROPN
ap-1852	229	10	qm	qm	PROPN
ap-1852	229	11	model	model	PROPN
ap-1852	229	12	,	,	PUNCT
ap-1852	229	13	although	although	SCONJ
ap-1852	229	14	containing	contain	VERB
ap-1852	229	15	unexpected	unexpected	ADJ
ap-1852	229	16	non	non	ADJ
ap-1852	229	17	-	-	ADJ
ap-1852	229	18	perturbative	perturbative	ADJ
ap-1852	229	19	features	feature	NOUN
ap-1852	229	20	,	,	PUNCT
ap-1852	229	21	is	be	AUX
ap-1852	229	22	fully	fully	ADV
ap-1852	229	23	consistent	consistent	ADJ
ap-1852	229	24	with	with	ADP
ap-1852	229	25	the	the	DET
ap-1852	229	26	usual	usual	ADJ
ap-1852	229	27	qm	qm	PROPN
ap-1852	229	28	postulates	postulate	NOUN
ap-1852	229	29	and	and	CCONJ
ap-1852	229	30	interpretation	interpretation	NOUN
ap-1852	229	31	.	.	PUNCT
ap-1852	230	1	references	reference	NOUN
ap-1852	230	2	[	[	X
ap-1852	230	3	1	1	NUM
ap-1852	230	4	]	]	PUNCT
ap-1852	230	5	a.	a.	NOUN
ap-1852	230	6	connes	conne	NOUN
ap-1852	230	7	,	,	PUNCT
ap-1852	230	8	publ	publ	NOUN
ap-1852	230	9	.	.	PUNCT
ap-1852	231	1	ihes	ihe	VERB
ap-1852	231	2	62	62	NUM
ap-1852	231	3	(	(	PUNCT
ap-1852	231	4	1986	1986	NUM
ap-1852	231	5	)	)	PUNCT
ap-1852	231	6	257	257	NUM
ap-1852	231	7	;	;	PUNCT
ap-1852	231	8	a.	a.	NOUN
ap-1852	231	9	connes	conne	NOUN
ap-1852	231	10	,	,	PUNCT
ap-1852	231	11	noncommutative	noncommutative	ADJ
ap-1852	231	12	geometry	geometry	NOUN
ap-1852	231	13	(	(	PUNCT
ap-1852	231	14	academic	academic	ADJ
ap-1852	231	15	press	press	NOUN
ap-1852	231	16	,	,	PUNCT
ap-1852	231	17	london	london	PROPN
ap-1852	231	18	,	,	PUNCT
ap-1852	231	19	1994	1994	NUM
ap-1852	231	20	)	)	PUNCT
ap-1852	231	21	.	.	PUNCT
ap-1852	232	1	[	[	X
ap-1852	232	2	2	2	NUM
ap-1852	232	3	]	]	PUNCT
ap-1852	232	4	m.	m.	NOUN
ap-1852	232	5	dubois	dubois	PROPN
ap-1852	232	6	-	-	PUNCT
ap-1852	232	7	violete	violete	PROPN
ap-1852	232	8	,	,	PUNCT
ap-1852	232	9	c.	c.	PROPN
ap-1852	232	10	r.	r.	PROPN
ap-1852	232	11	acad	acad	PROPN
ap-1852	232	12	.	.	PUNCT
ap-1852	233	1	sci	sci	PROPN
ap-1852	233	2	.	.	PUNCT
ap-1852	233	3	paris	paris	PROPN
ap-1852	233	4	307	307	NUM
ap-1852	233	5	(	(	PUNCT
ap-1852	233	6	1988	1988	NUM
ap-1852	233	7	)	)	PUNCT
ap-1852	233	8	403	403	NUM
ap-1852	233	9	;	;	PUNCT
ap-1852	233	10	m.	m.	NOUN
ap-1852	233	11	dubois	dubois	PROPN
ap-1852	233	12	-	-	PUNCT
ap-1852	233	13	violete	violete	PROPN
ap-1852	233	14	,	,	PUNCT
ap-1852	233	15	r.	r.	PROPN
ap-1852	233	16	kerner	kerner	PROPN
ap-1852	233	17	and	and	CCONJ
ap-1852	233	18	j.	j.	PROPN
ap-1852	233	19	madore	madore	PROPN
ap-1852	233	20	,	,	PUNCT
ap-1852	233	21	j.	j.	PROPN
ap-1852	233	22	math	math	PROPN
ap-1852	233	23	.	.	PUNCT
ap-1852	234	1	phys	phy	NOUN
ap-1852	234	2	.	.	PUNCT
ap-1852	235	1	31	31	NUM
ap-1852	235	2	(	(	PUNCT
ap-1852	235	3	1990	1990	NUM
ap-1852	235	4	)	)	PUNCT
ap-1852	235	5	316	316	NUM
ap-1852	235	6	.	.	PUNCT
ap-1852	236	1	[	[	X
ap-1852	236	2	3	3	X
ap-1852	236	3	]	]	X
ap-1852	236	4	s.	s.	PROPN
ap-1852	236	5	doplicher	doplicher	PROPN
ap-1852	236	6	,	,	PUNCT
ap-1852	236	7	k.	k.	PROPN
ap-1852	236	8	fredenhagen	fredenhagen	PROPN
ap-1852	236	9	and	and	CCONJ
ap-1852	236	10	j.	j.	PROPN
ap-1852	236	11	f.	f.	PROPN
ap-1852	236	12	roberts	roberts	PROPN
ap-1852	236	13	,	,	PUNCT
ap-1852	236	14	comm	comm	NOUN
ap-1852	236	15	.	.	PUNCT
ap-1852	236	16	math	math	NOUN
ap-1852	236	17	.	.	PUNCT
ap-1852	237	1	phys	phy	NOUN
ap-1852	237	2	.	.	PUNCT
ap-1852	238	1	172	172	NUM
ap-1852	238	2	(	(	PUNCT
ap-1852	238	3	1995	1995	NUM
ap-1852	238	4	)	)	PUNCT
ap-1852	238	5	187	187	NUM
ap-1852	238	6	.	.	PUNCT
ap-1852	239	1	[	[	X
ap-1852	239	2	4	4	NUM
ap-1852	239	3	]	]	PUNCT
ap-1852	239	4	m.	m.	NOUN
ap-1852	239	5	m.	m.	NOUN
ap-1852	239	6	sheikh	sheikh	PROPN
ap-1852	239	7	-	-	PUNCT
ap-1852	239	8	jabbari	jabbari	NOUN
ap-1852	239	9	,	,	PUNCT
ap-1852	239	10	phys.lett	phys.lett	PROPN
ap-1852	239	11	.	.	PUNCT
ap-1852	240	1	b425	b425	PROPN
ap-1852	240	2	(	(	PUNCT
ap-1852	240	3	1998	1998	NUM
ap-1852	240	4	)	)	PUNCT
ap-1852	240	5	48	48	NUM
ap-1852	240	6	-	-	SYM
ap-1852	240	7	54	54	NUM
ap-1852	240	8	,	,	PUNCT
ap-1852	240	9	v.	v.	ADP
ap-1852	240	10	schomerus	schomerus	PROPN
ap-1852	240	11	,	,	PUNCT
ap-1852	240	12	jhep	jhep	ADJ
ap-1852	240	13	9906	9906	NUM
ap-1852	240	14	(	(	PUNCT
ap-1852	240	15	1999	1999	NUM
ap-1852	240	16	)	)	PUNCT
ap-1852	240	17	030	030	NUM
ap-1852	240	18	;	;	PUNCT
ap-1852	240	19	n.	n.	PROPN
ap-1852	240	20	seiberg	seiberg	PROPN
ap-1852	240	21	and	and	CCONJ
ap-1852	240	22	e.	e.	PROPN
ap-1852	240	23	witten	witten	PROPN
ap-1852	240	24	,	,	PUNCT
ap-1852	240	25	jhep	jhep	ADJ
ap-1852	240	26	9909	9909	NUM
ap-1852	240	27	(	(	PUNCT
ap-1852	240	28	1999	1999	NUM
ap-1852	240	29	)	)	PUNCT
ap-1852	240	30	97	97	NUM
ap-1852	240	31	.	.	PUNCT
ap-1852	241	1	[	[	X
ap-1852	241	2	5	5	NUM
ap-1852	241	3	]	]	PUNCT
ap-1852	241	4	m.	m.	NOUN
ap-1852	241	5	chaichian	chaichian	PROPN
ap-1852	241	6	,	,	PUNCT
ap-1852	241	7	a.	a.	NOUN
ap-1852	241	8	demichev	demichev	PROPN
ap-1852	241	9	,	,	PUNCT
ap-1852	241	10	p.	p.	NOUN
ap-1852	241	11	prešnajder	prešnajder	NOUN
ap-1852	241	12	,	,	PUNCT
ap-1852	241	13	m.m	m.m	PROPN
ap-1852	241	14	.	.	PROPN
ap-1852	241	15	sheikh	sheikh	PROPN
ap-1852	241	16	-	-	PUNCT
ap-1852	241	17	jabbari	jabbari	PROPN
ap-1852	241	18	and	and	CCONJ
ap-1852	241	19	a.	a.	NOUN
ap-1852	241	20	tureanu	tureanu	NOUN
ap-1852	241	21	,	,	PUNCT
ap-1852	241	22	phys	phy	NOUN
ap-1852	241	23	.	.	PUNCT
ap-1852	242	1	lett	lett	PROPN
ap-1852	242	2	.	.	PUNCT
ap-1852	243	1	b527	b527	PROPN
ap-1852	243	2	(	(	PUNCT
ap-1852	243	3	2002	2002	NUM
ap-1852	243	4	)	)	PUNCT
ap-1852	243	5	149	149	NUM
ap-1852	243	6	;	;	PUNCT
ap-1852	243	7	h.	h.	PROPN
ap-1852	243	8	falomir	falomir	PROPN
ap-1852	243	9	,	,	PUNCT
ap-1852	243	10	j.	j.	PROPN
ap-1852	243	11	gamboa	gamboa	PROPN
ap-1852	243	12	,	,	PUNCT
ap-1852	243	13	m.	m.	PROPN
ap-1852	243	14	loewe	loewe	PROPN
ap-1852	243	15	and	and	CCONJ
ap-1852	243	16	j.	j.	PROPN
ap-1852	243	17	c.	c.	PROPN
ap-1852	243	18	rojas	rojas	PROPN
ap-1852	243	19	,	,	PUNCT
ap-1852	243	20	phys	phys	PROPN
ap-1852	243	21	.	.	PUNCT
ap-1852	244	1	rev	rev	PROPN
ap-1852	244	2	.	.	PROPN
ap-1852	244	3	d66	d66	PROPN
ap-1852	244	4	(	(	PUNCT
ap-1852	244	5	2002	2002	NUM
ap-1852	244	6	)	)	PUNCT
ap-1852	244	7	045018	045018	NUM
ap-1852	244	8	;	;	PUNCT
ap-1852	244	9	m.	m.	NOUN
ap-1852	244	10	chaichian	chaichian	PROPN
ap-1852	244	11	,	,	PUNCT
ap-1852	244	12	miklos	miklos	PROPN
ap-1852	244	13	langvik	langvik	ADV
ap-1852	244	14	,	,	PUNCT
ap-1852	244	15	shin	shin	NOUN
ap-1852	244	16	sasaki	sasaki	PROPN
ap-1852	244	17	and	and	CCONJ
ap-1852	244	18	anca	anca	NOUN
ap-1852	244	19	tureanu	tureanu	NOUN
ap-1852	244	20	,	,	PUNCT
ap-1852	244	21	phys	phy	NOUN
ap-1852	244	22	.	.	PUNCT
ap-1852	245	1	lett	lett	PROPN
ap-1852	245	2	.	.	PUNCT
ap-1852	246	1	b666	b666	PROPN
ap-1852	246	2	(	(	PUNCT
ap-1852	246	3	2008	2008	NUM
ap-1852	246	4	)	)	PUNCT
ap-1852	246	5	199	199	NUM
ap-1852	246	6	;	;	PUNCT
ap-1852	246	7	[	[	X
ap-1852	246	8	6	6	NUM
ap-1852	246	9	]	]	PUNCT
ap-1852	246	10	m.	m.	NOUN
ap-1852	246	11	chaichian	chaichian	PROPN
ap-1852	246	12	,	,	PUNCT
ap-1852	246	13	m.m	m.m	PROPN
ap-1852	246	14	.	.	PROPN
ap-1852	246	15	sheikh	sheikh	PROPN
ap-1852	246	16	-	-	PUNCT
ap-1852	246	17	jabbari	jabbari	PROPN
ap-1852	246	18	and	and	CCONJ
ap-1852	246	19	a.	a.	NOUN
ap-1852	246	20	tureanu	tureanu	NOUN
ap-1852	246	21	,	,	PUNCT
ap-1852	246	22	phys	phy	NOUN
ap-1852	246	23	.	.	PUNCT
ap-1852	247	1	rev	rev	PROPN
ap-1852	247	2	.	.	PROPN
ap-1852	247	3	lett	lett	PROPN
ap-1852	247	4	.	.	PUNCT
ap-1852	248	1	86	86	NUM
ap-1852	248	2	(	(	PUNCT
ap-1852	248	3	2001	2001	NUM
ap-1852	248	4	)	)	PUNCT
ap-1852	248	5	2716	2716	NUM
ap-1852	248	6	;	;	PUNCT
ap-1852	248	7	m.	m.	NOUN
ap-1852	248	8	chaichian	chaichian	PROPN
ap-1852	248	9	,	,	PUNCT
ap-1852	248	10	m.	m.	NOUN
ap-1852	248	11	m.	m.	NOUN
ap-1852	248	12	sheikh	sheikh	PROPN
ap-1852	248	13	-	-	PUNCT
ap-1852	248	14	jabbari	jabbari	PROPN
ap-1852	248	15	and	and	CCONJ
ap-1852	248	16	a.	a.	NOUN
ap-1852	248	17	tureanu	tureanu	NOUN
ap-1852	248	18	,	,	PUNCT
ap-1852	248	19	eur	eur	NOUN
ap-1852	248	20	.	.	PUNCT
ap-1852	249	1	phys	phy	NOUN
ap-1852	249	2	.	.	PUNCT
ap-1852	250	1	j.	j.	PROPN
ap-1852	250	2	c36	c36	PROPN
ap-1852	250	3	(	(	PUNCT
ap-1852	250	4	2004	2004	NUM
ap-1852	250	5	)	)	PUNCT
ap-1852	250	6	251	251	NUM
ap-1852	250	7	;	;	PUNCT
ap-1852	250	8	t.	t.	PROPN
ap-1852	250	9	c.	c.	PROPN
ap-1852	250	10	adorno	adorno	PROPN
ap-1852	250	11	,	,	PUNCT
ap-1852	250	12	m.	m.	PROPN
ap-1852	250	13	c.	c.	PROPN
ap-1852	250	14	baldiotti	baldiotti	PROPN
ap-1852	250	15	,	,	PUNCT
ap-1852	250	16	m.	m.	NOUN
ap-1852	250	17	chaichian	chaichian	PROPN
ap-1852	250	18	,	,	PUNCT
ap-1852	250	19	d.	d.	PROPN
ap-1852	250	20	m.	m.	PROPN
ap-1852	250	21	gitman	gitman	PROPN
ap-1852	250	22	and	and	CCONJ
ap-1852	250	23	a.	a.	NOUN
ap-1852	250	24	tureanu	tureanu	NOUN
ap-1852	250	25	,	,	PUNCT
ap-1852	250	26	phys	phy	NOUN
ap-1852	250	27	.	.	PUNCT
ap-1852	251	1	lett	lett	PROPN
ap-1852	251	2	.	.	PUNCT
ap-1852	252	1	b682	b682	PROPN
ap-1852	252	2	(	(	PUNCT
ap-1852	252	3	2009	2009	NUM
ap-1852	252	4	)	)	PUNCT
ap-1852	252	5	235	235	NUM
ap-1852	252	6	.	.	PUNCT
ap-1852	253	1	[	[	X
ap-1852	253	2	7	7	X
ap-1852	253	3	]	]	X
ap-1852	253	4	f.	f.	PROPN
ap-1852	253	5	g.	g.	PROPN
ap-1852	253	6	scholtz	scholtz	PROPN
ap-1852	253	7	,	,	PUNCT
ap-1852	253	8	b.	b.	PROPN
ap-1852	253	9	chakraborty	chakraborty	PROPN
ap-1852	253	10	,	,	PUNCT
ap-1852	253	11	j.	j.	PROPN
ap-1852	253	12	goaverts	goaverts	PROPN
ap-1852	253	13	,	,	PUNCT
ap-1852	253	14	s	s	PART
ap-1852	253	15	vaidya	vaidya	PROPN
ap-1852	253	16	,	,	PUNCT
ap-1852	253	17	j.	j.	PROPN
ap-1852	253	18	phys	phys	PROPN
ap-1852	253	19	.	.	PUNCT
ap-1852	254	1	a	a	DET
ap-1852	254	2	:	:	PUNCT
ap-1852	254	3	math	math	NOUN
ap-1852	254	4	.	.	PUNCT
ap-1852	255	1	theor	theor	PROPN
ap-1852	255	2	.	.	PUNCT
ap-1852	256	1	a40	a40	PROPN
ap-1852	256	2	(	(	PUNCT
ap-1852	256	3	2007	2007	NUM
ap-1852	256	4	)	)	PUNCT
ap-1852	256	5	14581	14581	NUM
ap-1852	256	6	;	;	PUNCT
ap-1852	256	7	j.	j.	PROPN
ap-1852	256	8	d.	d.	PROPN
ap-1852	256	9	thom	thom	PROPN
ap-1852	256	10	,	,	PUNCT
ap-1852	256	11	f.	f.	PROPN
ap-1852	256	12	g.	g.	PROPN
ap-1852	256	13	scholtz	scholtz	PROPN
ap-1852	256	14	,	,	PUNCT
ap-1852	256	15	j.	j.	PROPN
ap-1852	256	16	phys	phys	PROPN
ap-1852	256	17	.	.	PUNCT
ap-1852	257	1	a	a	DET
ap-1852	257	2	:	:	PUNCT
ap-1852	257	3	math	math	NOUN
ap-1852	257	4	.	.	PUNCT
ap-1852	258	1	theor	theor	PROPN
ap-1852	258	2	.	.	PUNCT
ap-1852	259	1	a42	a42	PROPN
ap-1852	259	2	(	(	PUNCT
ap-1852	259	3	2009	2009	NUM
ap-1852	259	4	)	)	PUNCT
ap-1852	259	5	445301	445301	NUM
ap-1852	259	6	.	.	PUNCT
ap-1852	260	1	[	[	X
ap-1852	260	2	8	8	NUM
ap-1852	260	3	]	]	X
ap-1852	260	4	h.	h.	PROPN
ap-1852	260	5	grosse	grosse	PROPN
ap-1852	260	6	,	,	PUNCT
ap-1852	260	7	c.	c.	NOUN
ap-1852	260	8	klimčík	klimčík	PROPN
ap-1852	260	9	and	and	CCONJ
ap-1852	260	10	p.	p.	NOUN
ap-1852	260	11	prešnajder	prešnajder	NOUN
ap-1852	260	12	,	,	PUNCT
ap-1852	260	13	int	int	NOUN
ap-1852	260	14	.	.	PUNCT
ap-1852	261	1	j.	j.	PROPN
ap-1852	261	2	theor	theor	PROPN
ap-1852	261	3	.	.	PUNCT
ap-1852	262	1	phys	phy	NOUN
ap-1852	262	2	.	.	PUNCT
ap-1852	263	1	35	35	NUM
ap-1852	263	2	(	(	PUNCT
ap-1852	263	3	1996	1996	NUM
ap-1852	263	4	)	)	PUNCT
ap-1852	263	5	231	231	NUM
ap-1852	263	6	.	.	PUNCT
ap-1852	264	1	[	[	X
ap-1852	264	2	9	9	NUM
ap-1852	264	3	]	]	PUNCT
ap-1852	264	4	v.	v.	CCONJ
ap-1852	264	5	gáliková	gáliková	PROPN
ap-1852	264	6	,	,	PUNCT
ap-1852	264	7	p.	p.	NOUN
ap-1852	264	8	prešnajder	prešnajder	NOUN
ap-1852	264	9	,	,	PUNCT
ap-1852	264	10	j.	j.	PROPN
ap-1852	264	11	phys	phys	PROPN
ap-1852	264	12	.	.	PUNCT
ap-1852	264	13	:	:	PUNCT
ap-1852	265	1	conf	conf	PROPN
ap-1852	265	2	.	.	PUNCT
ap-1852	265	3	ser	ser	PROPN
ap-1852	265	4	.	.	PUNCT
ap-1852	266	1	343	343	NUM
ap-1852	266	2	(	(	PUNCT
ap-1852	266	3	2012	2012	NUM
ap-1852	266	4	)	)	PUNCT
ap-1852	266	5	012096	012096	NUM
ap-1852	266	6	.	.	PUNCT
ap-1852	267	1	[	[	X
ap-1852	267	2	10	10	NUM
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ap-1852	267	5	gáliková	gáliková	PROPN
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ap-1852	267	7	p.	p.	NOUN
ap-1852	267	8	prešnajder	prešnajder	NOUN
ap-1852	267	9	,	,	PUNCT
ap-1852	267	10	coulomb	coulomb	NOUN
ap-1852	267	11	problem	problem	NOUN
ap-1852	267	12	in	in	ADP
ap-1852	267	13	nc	nc	PROPN
ap-1852	267	14	quantum	quantum	PROPN
ap-1852	267	15	mechanics	mechanic	NOUN
ap-1852	267	16	:	:	PUNCT
ap-1852	267	17	exact	exact	ADJ
ap-1852	267	18	solution	solution	NOUN
ap-1852	267	19	and	and	CCONJ
ap-1852	267	20	non	non	ADJ
ap-1852	267	21	-	-	ADJ
ap-1852	267	22	perturbative	perturbative	ADJ
ap-1852	267	23	aspects	aspect	NOUN
ap-1852	267	24	,	,	PUNCT
ap-1852	267	25	arxiv:1302.4623	arxiv:1302.4623	NUM
ap-1852	267	26	;	;	PUNCT
ap-1852	267	27	j.	j.	PROPN
ap-1852	267	28	math	math	PROPN
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ap-1852	269	2	(	(	PUNCT
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ap-1852	269	4	)	)	PUNCT
ap-1852	269	5	052102	052102	NUM
ap-1852	269	6	.	.	PUNCT
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ap-1852	270	3	]	]	PUNCT
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ap-1852	270	12	m.	m.	NOUN
ap-1852	270	13	sheikh	sheikh	PROPN
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ap-1852	270	15	jabbari	jabbari	NOUN
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ap-1852	270	22	)	)	PUNCT
ap-1852	270	23	025025	025025	NUM
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ap-1852	270	25	e.	e.	PROPN
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ap-1852	270	28	s.	s.	PROPN
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ap-1852	270	31	j.	j.	PROPN
ap-1852	270	32	math	math	PROPN
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ap-1852	272	2	(	(	PUNCT
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ap-1852	272	4	)	)	PUNCT
ap-1852	272	5	107	107	NUM
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ap-1852	273	3	]	]	X
ap-1852	273	4	l.	l.	PROPN
ap-1852	273	5	schiff	schiff	PROPN
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ap-1852	273	8	mechanics	mechanic	NOUN
ap-1852	273	9	,	,	PUNCT
ap-1852	273	10	new	new	PROPN
ap-1852	273	11	york	york	PROPN
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ap-1852	274	5	bateman	bateman	PROPN
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ap-1852	274	7	higher	high	ADJ
ap-1852	274	8	transcendental	transcendental	ADJ
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ap-1852	274	10	,	,	PUNCT
ap-1852	274	11	vol	vol	NOUN
ap-1852	274	12	.	.	PROPN
ap-1852	274	13	1	1	NUM
ap-1852	274	14	,	,	PUNCT
ap-1852	274	15	(	(	PUNCT
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ap-1852	274	17	graw	graw	PROPN
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ap-1852	274	20	book	book	NOUN
ap-1852	274	21	company	company	NOUN
ap-1852	274	22	,	,	PUNCT
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ap-1852	274	25	.	.	PUNCT
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ap-1852	275	3	]	]	X
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ap-1852	275	6	,	,	PUNCT
ap-1852	275	7	s.	s.	PROPN
ap-1852	275	8	kováčik	kováčik	PROPN
ap-1852	275	9	,	,	PUNCT
ap-1852	275	10	p.	p.	NOUN
ap-1852	275	11	prešnajder	prešnajder	NOUN
ap-1852	275	12	,	,	PUNCT
ap-1852	275	13	laplace	laplace	NOUN
ap-1852	275	14	-	-	PUNCT
ap-1852	275	15	runge	runge	NOUN
ap-1852	275	16	-	-	PUNCT
ap-1852	275	17	lenz	lenz	PROPN
ap-1852	275	18	vector	vector	PROPN
ap-1852	275	19	for	for	ADP
ap-1852	275	20	coulomb	coulomb	NOUN
ap-1852	275	21	problem	problem	NOUN
ap-1852	275	22	in	in	ADP
ap-1852	275	23	nc	nc	PROPN
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ap-1852	275	29	)	)	PUNCT
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ap-1852	275	31	.	.	PUNCT
ap-1852	276	1	432	432	NUM
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ap-1852	276	3	http://arxiv.org/abs/1309.4614v1	http://arxiv.org/abs/1309.4614v1	PROPN
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ap-1852	277	4	,	,	PUNCT
ap-1852	277	5	2013	2013	NUM
ap-1852	277	6	1	1	NUM
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ap-1852	277	8	2	2	NUM
ap-1852	277	9	non	non	ADJ
ap-1852	277	10	-	-	ADJ
ap-1852	277	11	commutative	commutative	ADJ
ap-1852	277	12	quantum	quantum	ADJ
ap-1852	277	13	mechanics	mechanic	NOUN
ap-1852	277	14	2.1	2.1	NUM
ap-1852	277	15	non	non	ADJ
ap-1852	277	16	-	-	ADJ
ap-1852	277	17	commutative	commutative	ADJ
ap-1852	277	18	configuration	configuration	NOUN
ap-1852	277	19	space	space	NOUN
ap-1852	277	20	2.2	2.2	NUM
ap-1852	277	21	hilbert	hilbert	NOUN
ap-1852	277	22	space	space	NOUN
ap-1852	277	23	h	h	NOUN
ap-1852	277	24	lambda	lambda	NOUN
ap-1852	277	25	of	of	ADP
ap-1852	277	26	nc	nc	PROPN
ap-1852	277	27	wave	wave	PROPN
ap-1852	277	28	functions	function	NOUN
ap-1852	277	29	2.3	2.3	NUM
ap-1852	277	30	orbital	orbital	ADJ
ap-1852	277	31	momentum	momentum	NOUN
ap-1852	277	32	in	in	ADP
ap-1852	277	33	h	h	NOUN
ap-1852	277	34	lambda	lambda	NOUN
ap-1852	277	35	2.4	2.4	NUM
ap-1852	277	36	the	the	DET
ap-1852	277	37	nc	nc	PROPN
ap-1852	277	38	analog	analog	PROPN
ap-1852	277	39	of	of	ADP
ap-1852	277	40	laplace	laplace	NOUN
ap-1852	277	41	operator	operator	NOUN
ap-1852	277	42	in	in	ADP
ap-1852	277	43	h	h	NOUN
ap-1852	277	44	lambda	lambda	PROPN
ap-1852	277	45	2.5	2.5	NUM
ap-1852	277	46	the	the	DET
ap-1852	277	47	potential	potential	ADJ
ap-1852	277	48	term	term	NOUN
ap-1852	277	49	in	in	ADP
ap-1852	277	50	h	h	NOUN
ap-1852	277	51	lambda	lambda	NOUN
ap-1852	277	52	3	3	NUM
ap-1852	277	53	the	the	DET
ap-1852	277	54	coulomb	coulomb	NOUN
ap-1852	277	55	problem	problem	NOUN
ap-1852	277	56	in	in	ADP
ap-1852	277	57	nc	nc	PROPN
ap-1852	277	58	qm	qm	PROPN
ap-1852	277	59	3.1	3.1	NUM
ap-1852	277	60	nc	nc	PROPN
ap-1852	277	61	radial	radial	ADJ
ap-1852	277	62	schrödinger	schrödinger	ADJ
ap-1852	277	63	equation	equation	NOUN
ap-1852	277	64	3.2	3.2	NUM
ap-1852	277	65	coulomb	coulomb	NOUN
ap-1852	277	66	scattering	scattering	NOUN
ap-1852	277	67	in	in	ADP
ap-1852	277	68	qm	qm	PROPN
ap-1852	277	69	3.3	3.3	NUM
ap-1852	277	70	coulomb	coulomb	NOUN
ap-1852	277	71	scattering	scattering	NOUN
ap-1852	277	72	in	in	ADP
ap-1852	277	73	ncqm	ncqm	NOUN
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ap-1852	277	82	s	s	NOUN
ap-1852	277	83	-	-	NOUN
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ap-1852	277	85	4	4	NUM
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ap-1852	277	87	references	reference	NOUN