id	sid	tid	token	lemma	pos
ap-1803	1	1	acta	acta	PROPN
ap-1803	1	2	polytechnica	polytechnica	PROPN
ap-1803	1	3	acta	acta	PROPN
ap-1803	1	4	polytechnica	polytechnica	PROPN
ap-1803	1	5	53(3):280–282	53(3):280–282	PROPN
ap-1803	1	6	,	,	PUNCT
ap-1803	1	7	2013	2013	NUM
ap-1803	1	8	©	©	PROPN
ap-1803	1	9	czech	czech	PROPN
ap-1803	1	10	technical	technical	PROPN
ap-1803	1	11	university	university	PROPN
ap-1803	1	12	in	in	ADP
ap-1803	1	13	prague	prague	PROPN
ap-1803	1	14	,	,	PUNCT
ap-1803	1	15	2013	2013	NUM
ap-1803	1	16	available	available	ADJ
ap-1803	1	17	online	online	ADV
ap-1803	1	18	at	at	ADP
ap-1803	1	19	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	ADJ
ap-1803	1	20	generalized	generalized	ADJ
ap-1803	1	21	continuity	continuity	NOUN
ap-1803	1	22	equation	equation	NOUN
ap-1803	1	23	for	for	ADP
ap-1803	1	24	quasi	quasi	ADJ
ap-1803	1	25	-	-	ADJ
ap-1803	1	26	hermitian	hermitian	ADJ
ap-1803	1	27	hamiltonians	hamiltonians	PROPN
ap-1803	1	28	amine	amine	PROPN
ap-1803	1	29	b.	b.	PROPN
ap-1803	1	30	hammou∗	hammou∗	PROPN
ap-1803	1	31	usto	usto	VERB
ap-1803	1	32	–	–	PUNCT
ap-1803	1	33	mohamed	mohamed	ADJ
ap-1803	1	34	boudiaf	boudiaf	PROPN
ap-1803	1	35	,	,	PUNCT
ap-1803	1	36	département	département	X
ap-1803	1	37	de	de	X
ap-1803	1	38	physique	physique	NOUN
ap-1803	1	39	,	,	PUNCT
ap-1803	1	40	bp	bp	PROPN
ap-1803	1	41	1505	1505	NUM
ap-1803	1	42	el	el	PROPN
ap-1803	1	43	m’naouer	m’naouer	PROPN
ap-1803	1	44	,	,	PUNCT
ap-1803	1	45	oran	oran	PROPN
ap-1803	1	46	,	,	PUNCT
ap-1803	1	47	algeria	algeria	PROPN
ap-1803	1	48	∗	∗	NOUN
ap-1803	1	49	corresponding	correspond	VERB
ap-1803	1	50	author	author	NOUN
ap-1803	1	51	:	:	PUNCT
ap-1803	1	52	hbamine@gmail.com	hbamine@gmail.com	X
ap-1803	2	1	abstract	abstract	ADJ
ap-1803	2	2	.	.	PUNCT
ap-1803	3	1	the	the	DET
ap-1803	3	2	continuity	continuity	NOUN
ap-1803	3	3	relation	relation	NOUN
ap-1803	3	4	is	be	AUX
ap-1803	3	5	generalized	generalize	VERB
ap-1803	3	6	to	to	ADP
ap-1803	3	7	quasi	quasi	ADJ
ap-1803	3	8	-	-	ADJ
ap-1803	3	9	hermitian	hermitian	ADJ
ap-1803	3	10	one	one	NUM
ap-1803	3	11	-	-	PUNCT
ap-1803	3	12	dimensional	dimensional	ADJ
ap-1803	3	13	hamiltonians	hamiltonian	NOUN
ap-1803	3	14	.	.	PUNCT
ap-1803	4	1	as	as	ADP
ap-1803	4	2	an	an	DET
ap-1803	4	3	application	application	NOUN
ap-1803	4	4	we	we	PRON
ap-1803	4	5	show	show	VERB
ap-1803	4	6	that	that	SCONJ
ap-1803	4	7	the	the	DET
ap-1803	4	8	reflection	reflection	NOUN
ap-1803	4	9	and	and	CCONJ
ap-1803	4	10	transmission	transmission	NOUN
ap-1803	4	11	coefficients	coefficient	NOUN
ap-1803	4	12	computed	compute	VERB
ap-1803	4	13	with	with	ADP
ap-1803	4	14	the	the	DET
ap-1803	4	15	generalized	generalize	VERB
ap-1803	4	16	current	current	NOUN
ap-1803	4	17	obey	obey	VERB
ap-1803	4	18	the	the	DET
ap-1803	4	19	conventional	conventional	ADJ
ap-1803	4	20	unitarity	unitarity	NOUN
ap-1803	4	21	relation	relation	NOUN
ap-1803	4	22	for	for	ADP
ap-1803	4	23	the	the	DET
ap-1803	4	24	continuous	continuous	ADJ
ap-1803	4	25	double	double	ADJ
ap-1803	4	26	delta	delta	NOUN
ap-1803	4	27	function	function	NOUN
ap-1803	4	28	potential	potential	NOUN
ap-1803	4	29	.	.	PUNCT
ap-1803	5	1	keywords	keyword	NOUN
ap-1803	5	2	:	:	PUNCT
ap-1803	5	3	complex	complex	ADJ
ap-1803	5	4	scattering	scattering	ADJ
ap-1803	5	5	potential	potential	NOUN
ap-1803	5	6	,	,	PUNCT
ap-1803	5	7	metric	metric	ADJ
ap-1803	5	8	operator	operator	NOUN
ap-1803	5	9	,	,	PUNCT
ap-1803	5	10	quasi	quasi	ADJ
ap-1803	5	11	-	-	ADJ
ap-1803	5	12	hermitian	hermitian	ADJ
ap-1803	5	13	,	,	PUNCT
ap-1803	5	14	pt	pt	PROPN
ap-1803	5	15	-symmetry	-symmetry	NOUN
ap-1803	5	16	.	.	PROPN
ap-1803	6	1	1	1	NUM
ap-1803	6	2	.	.	X
ap-1803	6	3	introduction	introduction	NOUN
ap-1803	6	4	in	in	ADP
ap-1803	6	5	[	[	X
ap-1803	6	6	1	1	NUM
ap-1803	6	7	]	]	PUNCT
ap-1803	6	8	,	,	PUNCT
ap-1803	6	9	scattering	scatter	VERB
ap-1803	6	10	from	from	ADP
ap-1803	6	11	a	a	DET
ap-1803	6	12	discrete	discrete	ADJ
ap-1803	6	13	quasi	quasi	ADJ
ap-1803	6	14	-	-	ADJ
ap-1803	6	15	hermitian	hermitian	ADJ
ap-1803	6	16	delta	delta	NOUN
ap-1803	6	17	function	function	NOUN
ap-1803	6	18	potential	potential	NOUN
ap-1803	6	19	was	be	AUX
ap-1803	6	20	studied	study	VERB
ap-1803	6	21	and	and	CCONJ
ap-1803	6	22	a	a	DET
ap-1803	6	23	generalized	generalized	ADJ
ap-1803	6	24	continuity	continuity	NOUN
ap-1803	6	25	relation	relation	NOUN
ap-1803	6	26	was	be	AUX
ap-1803	6	27	obtained	obtain	VERB
ap-1803	6	28	in	in	ADP
ap-1803	6	29	the	the	DET
ap-1803	6	30	physical	physical	ADJ
ap-1803	6	31	hilbert	hilbert	NOUN
ap-1803	6	32	space	space	NOUN
ap-1803	6	33	hphys	hphy	NOUN
ap-1803	6	34	.	.	PUNCT
ap-1803	7	1	a	a	DET
ap-1803	7	2	generalized	generalized	ADJ
ap-1803	7	3	probability	probability	NOUN
ap-1803	7	4	current	current	ADJ
ap-1803	7	5	density	density	NOUN
ap-1803	7	6	was	be	AUX
ap-1803	7	7	defined	define	VERB
ap-1803	7	8	.	.	PUNCT
ap-1803	8	1	using	use	VERB
ap-1803	8	2	a	a	DET
ap-1803	8	3	quasi	quasi	ADJ
ap-1803	8	4	-	-	ADJ
ap-1803	8	5	hermitian	hermitian	ADJ
ap-1803	8	6	toy	toy	NOUN
ap-1803	8	7	model	model	NOUN
ap-1803	8	8	of	of	ADP
ap-1803	8	9	discrete	discrete	ADJ
ap-1803	8	10	delta	delta	NOUN
ap-1803	8	11	function	function	NOUN
ap-1803	8	12	potential	potential	NOUN
ap-1803	8	13	,	,	PUNCT
ap-1803	8	14	it	it	PRON
ap-1803	8	15	was	be	AUX
ap-1803	8	16	shown	show	VERB
ap-1803	8	17	that	that	SCONJ
ap-1803	8	18	the	the	DET
ap-1803	8	19	reflection	reflection	NOUN
ap-1803	8	20	and	and	CCONJ
ap-1803	8	21	transmission	transmission	NOUN
ap-1803	8	22	coefficients	coefficient	NOUN
ap-1803	8	23	computed	compute	VERB
ap-1803	8	24	using	use	VERB
ap-1803	8	25	this	this	DET
ap-1803	8	26	current	current	ADJ
ap-1803	8	27	obey	obey	VERB
ap-1803	8	28	the	the	DET
ap-1803	8	29	unitarity	unitarity	PROPN
ap-1803	8	30	relation	relation	NOUN
ap-1803	8	31	.	.	PUNCT
ap-1803	9	1	in	in	ADP
ap-1803	9	2	this	this	DET
ap-1803	9	3	paper	paper	NOUN
ap-1803	9	4	we	we	PRON
ap-1803	9	5	will	will	AUX
ap-1803	9	6	review	review	VERB
ap-1803	9	7	the	the	DET
ap-1803	9	8	construction	construction	NOUN
ap-1803	9	9	of	of	ADP
ap-1803	9	10	the	the	DET
ap-1803	9	11	generalized	generalize	VERB
ap-1803	9	12	continuity	continuity	NOUN
ap-1803	9	13	relation	relation	NOUN
ap-1803	9	14	of	of	ADP
ap-1803	9	15	[	[	X
ap-1803	9	16	1	1	NUM
ap-1803	9	17	]	]	PUNCT
ap-1803	9	18	and	and	CCONJ
ap-1803	9	19	then	then	ADV
ap-1803	9	20	apply	apply	VERB
ap-1803	9	21	it	it	PRON
ap-1803	9	22	to	to	ADP
ap-1803	9	23	the	the	DET
ap-1803	9	24	continuous	continuous	ADJ
ap-1803	9	25	double	double	ADJ
ap-1803	9	26	delta	delta	NOUN
ap-1803	9	27	function	function	NOUN
ap-1803	9	28	potential	potential	NOUN
ap-1803	9	29	where	where	SCONJ
ap-1803	9	30	a	a	DET
ap-1803	9	31	metric	metric	NOUN
ap-1803	9	32	was	be	AUX
ap-1803	9	33	obtained	obtain	VERB
ap-1803	9	34	to	to	ADP
ap-1803	9	35	first	first	ADJ
ap-1803	9	36	order	order	NOUN
ap-1803	9	37	in	in	ADP
ap-1803	9	38	the	the	DET
ap-1803	9	39	imaginary	imaginary	ADJ
ap-1803	9	40	part	part	NOUN
ap-1803	9	41	of	of	ADP
ap-1803	9	42	the	the	DET
ap-1803	9	43	potential	potential	ADJ
ap-1803	9	44	strength	strength	NOUN
ap-1803	10	1	[	[	X
ap-1803	10	2	2	2	NUM
ap-1803	10	3	]	]	PUNCT
ap-1803	10	4	.	.	PUNCT
ap-1803	11	1	we	we	PRON
ap-1803	11	2	will	will	AUX
ap-1803	11	3	then	then	ADV
ap-1803	11	4	compute	compute	VERB
ap-1803	11	5	the	the	DET
ap-1803	11	6	reflection	reflection	NOUN
ap-1803	11	7	and	and	CCONJ
ap-1803	11	8	transmission	transmission	NOUN
ap-1803	11	9	coefficients	coefficient	NOUN
ap-1803	11	10	in	in	ADP
ap-1803	11	11	the	the	DET
ap-1803	11	12	physical	physical	ADJ
ap-1803	11	13	hilbert	hilbert	NOUN
ap-1803	11	14	space	space	NOUN
ap-1803	11	15	hphys	hphy	NOUN
ap-1803	11	16	and	and	CCONJ
ap-1803	11	17	show	show	VERB
ap-1803	11	18	that	that	SCONJ
ap-1803	11	19	they	they	PRON
ap-1803	11	20	indeed	indeed	ADV
ap-1803	11	21	obey	obey	VERB
ap-1803	11	22	the	the	DET
ap-1803	11	23	unitarity	unitarity	PROPN
ap-1803	11	24	relation	relation	NOUN
ap-1803	11	25	.	.	PUNCT
ap-1803	12	1	this	this	DET
ap-1803	12	2	result	result	NOUN
ap-1803	12	3	comes	come	VERB
ap-1803	12	4	as	as	ADP
ap-1803	12	5	a	a	DET
ap-1803	12	6	surprise	surprise	NOUN
ap-1803	12	7	since	since	SCONJ
ap-1803	12	8	,	,	PUNCT
ap-1803	12	9	although	although	SCONJ
ap-1803	12	10	the	the	DET
ap-1803	12	11	potential	potential	NOUN
ap-1803	12	12	is	be	AUX
ap-1803	12	13	local	local	ADJ
ap-1803	12	14	,	,	PUNCT
ap-1803	12	15	the	the	DET
ap-1803	12	16	metric	metric	NOUN
ap-1803	12	17	is	be	AUX
ap-1803	12	18	highly	highly	ADV
ap-1803	12	19	non	non	ADJ
ap-1803	12	20	local	local	ADJ
ap-1803	12	21	and	and	CCONJ
ap-1803	12	22	so	so	ADV
ap-1803	12	23	the	the	DET
ap-1803	12	24	existence	existence	NOUN
ap-1803	12	25	of	of	ADP
ap-1803	12	26	asymptotic	asymptotic	ADJ
ap-1803	12	27	states	state	NOUN
ap-1803	12	28	is	be	AUX
ap-1803	12	29	questionable	questionable	ADJ
ap-1803	13	1	[	[	X
ap-1803	13	2	3–5	3–5	NOUN
ap-1803	13	3	]	]	PUNCT
ap-1803	13	4	.	.	PUNCT
ap-1803	14	1	this	this	PRON
ap-1803	14	2	is	be	AUX
ap-1803	14	3	as	as	ADV
ap-1803	14	4	far	far	ADV
ap-1803	14	5	as	as	SCONJ
ap-1803	14	6	i	i	PRON
ap-1803	14	7	know	know	VERB
ap-1803	14	8	the	the	DET
ap-1803	14	9	first	first	ADJ
ap-1803	14	10	example	example	NOUN
ap-1803	14	11	of	of	ADP
ap-1803	14	12	a	a	DET
ap-1803	14	13	quasi	quasi	ADJ
ap-1803	14	14	-	-	ADJ
ap-1803	14	15	hermitian	hermitian	ADJ
ap-1803	14	16	hamiltonian	hamiltonian	NOUN
ap-1803	14	17	with	with	ADP
ap-1803	14	18	a	a	DET
ap-1803	14	19	non	non	ADJ
ap-1803	14	20	-	-	ADJ
ap-1803	14	21	diagonal	diagonal	ADJ
ap-1803	14	22	metric	metric	NOUN
ap-1803	14	23	that	that	PRON
ap-1803	14	24	possesses	possess	VERB
ap-1803	14	25	a	a	DET
ap-1803	14	26	conserved	conserve	VERB
ap-1803	14	27	probability	probability	NOUN
ap-1803	14	28	current	current	ADJ
ap-1803	14	29	density	density	NOUN
ap-1803	14	30	.	.	PUNCT
ap-1803	15	1	recently	recently	ADV
ap-1803	15	2	it	it	PRON
ap-1803	15	3	has	have	AUX
ap-1803	15	4	been	be	AUX
ap-1803	15	5	found	find	VERB
ap-1803	15	6	[	[	X
ap-1803	15	7	6	6	NUM
ap-1803	15	8	]	]	PUNCT
ap-1803	15	9	that	that	SCONJ
ap-1803	15	10	,	,	PUNCT
ap-1803	15	11	for	for	ADP
ap-1803	15	12	the	the	DET
ap-1803	15	13	non	non	ADJ
ap-1803	15	14	-	-	ADJ
ap-1803	15	15	hermitian	hermitian	ADJ
ap-1803	15	16	complex	complex	ADJ
ap-1803	15	17	pt	pt	ADJ
ap-1803	15	18	-	-	ADJ
ap-1803	15	19	symmetric	symmetric	ADJ
ap-1803	15	20	version	version	NOUN
ap-1803	15	21	of	of	ADP
ap-1803	15	22	the	the	DET
ap-1803	15	23	scarf	scarf	PROPN
ap-1803	15	24	ii	ii	PROPN
ap-1803	15	25	potential	potential	NOUN
ap-1803	15	26	,	,	PUNCT
ap-1803	15	27	unitarity	unitarity	PROPN
ap-1803	15	28	is	be	AUX
ap-1803	15	29	obeyed	obey	VERB
ap-1803	15	30	for	for	ADP
ap-1803	15	31	a	a	DET
ap-1803	15	32	particular	particular	ADJ
ap-1803	15	33	choice	choice	NOUN
ap-1803	15	34	of	of	ADP
ap-1803	15	35	the	the	DET
ap-1803	15	36	parameters	parameter	NOUN
ap-1803	15	37	.	.	PUNCT
ap-1803	16	1	2	2	X
ap-1803	16	2	.	.	X
ap-1803	16	3	the	the	DET
ap-1803	16	4	continuity	continuity	NOUN
ap-1803	16	5	relation	relation	NOUN
ap-1803	16	6	in	in	ADP
ap-1803	16	7	hphys	hphy	NOUN
ap-1803	16	8	a	a	DET
ap-1803	16	9	hamiltonian	hamiltonian	ADJ
ap-1803	16	10	h	h	NOUN
ap-1803	16	11	that	that	PRON
ap-1803	16	12	obeys	obey	VERB
ap-1803	16	13	h†	h†	ADJ
ap-1803	16	14	=	=	SYM
ap-1803	16	15	ηhη−1	ηhη−1	X
ap-1803	16	16	(	(	PUNCT
ap-1803	16	17	2.1	2.1	NUM
ap-1803	16	18	)	)	PUNCT
ap-1803	16	19	is	be	AUX
ap-1803	16	20	said	say	VERB
ap-1803	16	21	to	to	PART
ap-1803	16	22	be	be	AUX
ap-1803	16	23	quasi	quasi	ADJ
ap-1803	16	24	-	-	ADJ
ap-1803	16	25	hermitian	hermitian	ADJ
ap-1803	16	26	[	[	X
ap-1803	16	27	7	7	NUM
ap-1803	16	28	]	]	PUNCT
ap-1803	16	29	.	.	PUNCT
ap-1803	17	1	where	where	SCONJ
ap-1803	17	2	η	η	PROPN
ap-1803	17	3	is	be	AUX
ap-1803	17	4	a	a	DET
ap-1803	17	5	positive	positive	ADJ
ap-1803	17	6	definite	definite	ADJ
ap-1803	17	7	metric	metric	ADJ
ap-1803	17	8	operator	operator	NOUN
ap-1803	17	9	.	.	PUNCT
ap-1803	18	1	by	by	ADP
ap-1803	18	2	an	an	DET
ap-1803	18	3	appropriate	appropriate	ADJ
ap-1803	18	4	modification	modification	NOUN
ap-1803	18	5	of	of	ADP
ap-1803	18	6	the	the	DET
ap-1803	18	7	inner	inner	ADJ
ap-1803	18	8	product	product	NOUN
ap-1803	18	9	on	on	ADP
ap-1803	18	10	the	the	DET
ap-1803	18	11	hilbert	hilbert	PROPN
ap-1803	18	12	space	space	NOUN
ap-1803	18	13	,	,	PUNCT
ap-1803	18	14	quasi	quasi	ADJ
ap-1803	18	15	-	-	ADJ
ap-1803	18	16	hermitian	hermitian	ADJ
ap-1803	18	17	operators	operator	NOUN
ap-1803	18	18	can	can	AUX
ap-1803	18	19	be	be	AUX
ap-1803	18	20	made	make	VERB
ap-1803	18	21	hermitian	hermitian	ADJ
ap-1803	18	22	[	[	X
ap-1803	18	23	8	8	NUM
ap-1803	18	24	]	]	PUNCT
ap-1803	18	25	.	.	PUNCT
ap-1803	19	1	the	the	DET
ap-1803	19	2	inner	inner	ADJ
ap-1803	19	3	product	product	NOUN
ap-1803	19	4	of	of	ADP
ap-1803	19	5	the	the	DET
ap-1803	19	6	new	new	ADJ
ap-1803	19	7	hilbert	hilbert	NOUN
ap-1803	19	8	space	space	NOUN
ap-1803	19	9	is	be	AUX
ap-1803	19	10	given	give	VERB
ap-1803	19	11	by	by	ADP
ap-1803	19	12	〈	〈	PROPN
ap-1803	19	13	·	·	PROPN
ap-1803	19	14	|·〉η	|·〉η	VERB
ap-1803	19	15	:	:	PUNCT
ap-1803	19	16	=	=	PUNCT
ap-1803	19	17	〈	〈	PROPN
ap-1803	19	18	·	·	SYM
ap-1803	19	19	|η	|η	PROPN
ap-1803	19	20	·	·	SYM
ap-1803	19	21	〉	〉	PROPN
ap-1803	19	22	,	,	PUNCT
ap-1803	19	23	where	where	SCONJ
ap-1803	19	24	〈	〈	PROPN
ap-1803	19	25	·	·	SYM
ap-1803	19	26	|	|	ADJ
ap-1803	19	27	·	·	SYM
ap-1803	19	28	〉	〉	PROPN
ap-1803	19	29	is	be	AUX
ap-1803	19	30	the	the	DET
ap-1803	19	31	inner	inner	ADJ
ap-1803	19	32	product	product	NOUN
ap-1803	19	33	which	which	PRON
ap-1803	19	34	defines	define	VERB
ap-1803	19	35	the	the	DET
ap-1803	19	36	original	original	ADJ
ap-1803	19	37	hilbert	hilbert	NOUN
ap-1803	19	38	space	space	NOUN
ap-1803	19	39	h.	h.	PROPN
ap-1803	19	40	the	the	DET
ap-1803	19	41	new	new	ADJ
ap-1803	19	42	hilbert	hilbert	NOUN
ap-1803	19	43	space	space	NOUN
ap-1803	19	44	endowed	endow	VERB
ap-1803	19	45	with	with	ADP
ap-1803	19	46	the	the	DET
ap-1803	19	47	inner	inner	ADJ
ap-1803	19	48	product	product	NOUN
ap-1803	19	49	〈	〈	PROPN
ap-1803	19	50	.|.〉η	.|.〉η	PROPN
ap-1803	19	51	is	be	AUX
ap-1803	19	52	recognized	recognize	VERB
ap-1803	19	53	as	as	ADP
ap-1803	19	54	the	the	DET
ap-1803	19	55	physical	physical	ADJ
ap-1803	19	56	hilbert	hilbert	PROPN
ap-1803	19	57	space	space	NOUN
ap-1803	19	58	hphys	hphy	NOUN
ap-1803	19	59	in	in	ADP
ap-1803	19	60	which	which	PRON
ap-1803	19	61	h	h	NOUN
ap-1803	19	62	acts	act	VERB
ap-1803	19	63	as	as	ADP
ap-1803	19	64	a	a	DET
ap-1803	19	65	hermitian	hermitian	ADJ
ap-1803	19	66	operator	operator	NOUN
ap-1803	19	67	[	[	X
ap-1803	19	68	8	8	NUM
ap-1803	19	69	]	]	PUNCT
ap-1803	19	70	.	.	PUNCT
ap-1803	20	1	a	a	DET
ap-1803	20	2	generalized	generalized	ADJ
ap-1803	20	3	continuity	continuity	NOUN
ap-1803	20	4	equation	equation	NOUN
ap-1803	20	5	in	in	ADP
ap-1803	20	6	the	the	DET
ap-1803	20	7	physical	physical	ADJ
ap-1803	20	8	hilbert	hilbert	PROPN
ap-1803	20	9	space	space	NOUN
ap-1803	20	10	hphys	hphy	NOUN
ap-1803	20	11	was	be	AUX
ap-1803	20	12	defined	define	VERB
ap-1803	20	13	in	in	ADP
ap-1803	20	14	[	[	X
ap-1803	20	15	1	1	NUM
ap-1803	20	16	]	]	PUNCT
ap-1803	20	17	as	as	ADP
ap-1803	20	18	∂	∂	NOUN
ap-1803	20	19	∂t	∂t	PROPN
ap-1803	20	20	ρη(x	ρη(x	NUM
ap-1803	20	21	)	)	PUNCT
ap-1803	20	22	+	+	NUM
ap-1803	20	23	∂	∂	NUM
ap-1803	20	24	∂x	∂x	PROPN
ap-1803	20	25	jη(x	jη(x	NOUN
ap-1803	20	26	)	)	PUNCT
ap-1803	20	27	=	=	SYM
ap-1803	20	28	0	0	NUM
ap-1803	20	29	(	(	PUNCT
ap-1803	20	30	2.2	2.2	NUM
ap-1803	20	31	)	)	PUNCT
ap-1803	20	32	in	in	ADP
ap-1803	20	33	the	the	DET
ap-1803	20	34	x	x	NOUN
ap-1803	20	35	-	-	NOUN
ap-1803	20	36	representation	representation	NOUN
ap-1803	20	37	,	,	PUNCT
ap-1803	20	38	where	where	SCONJ
ap-1803	20	39	ρη(x	ρη(x	NOUN
ap-1803	20	40	)	)	PUNCT
ap-1803	20	41	=	=	SYM
ap-1803	20	42	∫	∫	PROPN
ap-1803	20	43	dy	dy	NOUN
ap-1803	20	44	ψ∗(y)η(y	ψ∗(y)η(y	PROPN
ap-1803	20	45	,	,	PUNCT
ap-1803	20	46	x)ψ(x	x)ψ(x	NUM
ap-1803	20	47	)	)	PUNCT
ap-1803	20	48	(	(	PUNCT
ap-1803	20	49	2.3	2.3	NUM
ap-1803	20	50	)	)	PUNCT
ap-1803	20	51	is	be	AUX
ap-1803	20	52	the	the	DET
ap-1803	20	53	probability	probability	NOUN
ap-1803	20	54	density	density	NOUN
ap-1803	20	55	.	.	PUNCT
ap-1803	21	1	the	the	DET
ap-1803	21	2	probability	probability	NOUN
ap-1803	21	3	current	current	ADJ
ap-1803	21	4	density	density	NOUN
ap-1803	21	5	is	be	AUX
ap-1803	21	6	given	give	VERB
ap-1803	21	7	by	by	ADP
ap-1803	21	8	jη(x	jη(x	NOUN
ap-1803	21	9	)	)	PUNCT
ap-1803	21	10	=	=	VERB
ap-1803	22	1	i	i	PRON
ap-1803	22	2	∫	∫	PROPN
ap-1803	22	3	dy	dy	INTJ
ap-1803	22	4	(	(	PUNCT
ap-1803	22	5	ψ∗(y)η(y	ψ∗(y)η(y	PROPN
ap-1803	22	6	,	,	PUNCT
ap-1803	22	7	x)∂ψ(x	x)∂ψ(x	NOUN
ap-1803	22	8	)	)	PUNCT
ap-1803	22	9	∂x	∂x	PROPN
ap-1803	22	10	−	−	NOUN
ap-1803	22	11	∂	∂	NOUN
ap-1803	22	12	(	(	PUNCT
ap-1803	22	13	ψ∗(y)η(y	ψ∗(y)η(y	NUM
ap-1803	22	14	,	,	PUNCT
ap-1803	22	15	x	x	NOUN
ap-1803	22	16	)	)	PUNCT
ap-1803	22	17	)	)	PUNCT
ap-1803	23	1	∂x	∂x	PROPN
ap-1803	23	2	ψ(x	ψ(x	NOUN
ap-1803	23	3	)	)	PUNCT
ap-1803	23	4	)	)	PUNCT
ap-1803	23	5	.	.	PUNCT
ap-1803	24	1	(	(	PUNCT
ap-1803	24	2	2.4	2.4	NUM
ap-1803	24	3	)	)	PUNCT
ap-1803	24	4	3	3	NUM
ap-1803	24	5	.	.	PUNCT
ap-1803	25	1	the	the	DET
ap-1803	25	2	continuous	continuous	ADJ
ap-1803	25	3	double	double	ADJ
ap-1803	25	4	delta	delta	NOUN
ap-1803	25	5	function	function	NOUN
ap-1803	25	6	potential	potential	NOUN
ap-1803	25	7	in	in	ADP
ap-1803	25	8	this	this	DET
ap-1803	25	9	section	section	NOUN
ap-1803	25	10	,	,	PUNCT
ap-1803	25	11	we	we	PRON
ap-1803	25	12	will	will	AUX
ap-1803	25	13	test	test	VERB
ap-1803	25	14	the	the	DET
ap-1803	25	15	continuity	continuity	NOUN
ap-1803	25	16	relation	relation	NOUN
ap-1803	25	17	obtained	obtain	VERB
ap-1803	25	18	from	from	ADP
ap-1803	25	19	the	the	DET
ap-1803	25	20	generalized	generalized	ADJ
ap-1803	25	21	current	current	NOUN
ap-1803	25	22	(	(	PUNCT
ap-1803	25	23	2.4	2.4	NUM
ap-1803	25	24	)	)	PUNCT
ap-1803	25	25	in	in	ADP
ap-1803	25	26	the	the	DET
ap-1803	25	27	continuous	continuous	ADJ
ap-1803	25	28	case	case	NOUN
ap-1803	25	29	.	.	PUNCT
ap-1803	26	1	there	there	PRON
ap-1803	26	2	are	be	VERB
ap-1803	26	3	very	very	ADV
ap-1803	26	4	few	few	ADJ
ap-1803	26	5	cases	case	NOUN
ap-1803	26	6	in	in	ADP
ap-1803	26	7	the	the	DET
ap-1803	26	8	literature	literature	NOUN
ap-1803	26	9	where	where	SCONJ
ap-1803	26	10	the	the	DET
ap-1803	26	11	metric	metric	NOUN
ap-1803	26	12	was	be	AUX
ap-1803	26	13	computed	compute	VERB
ap-1803	26	14	[	[	X
ap-1803	26	15	2	2	NUM
ap-1803	26	16	,	,	PUNCT
ap-1803	26	17	9–11	9–11	NOUN
ap-1803	26	18	]	]	PUNCT
ap-1803	26	19	.	.	PUNCT
ap-1803	27	1	let	let	VERB
ap-1803	27	2	us	we	PRON
ap-1803	27	3	consider	consider	VERB
ap-1803	27	4	the	the	DET
ap-1803	27	5	double	double	ADJ
ap-1803	27	6	delta	delta	NOUN
ap-1803	27	7	function	function	NOUN
ap-1803	27	8	potential	potential	NOUN
ap-1803	27	9	given	give	VERB
ap-1803	27	10	by	by	ADP
ap-1803	27	11	v	v	NOUN
ap-1803	27	12	(	(	PUNCT
ap-1803	27	13	x	x	NOUN
ap-1803	27	14	)	)	PUNCT
ap-1803	27	15	=	=	SYM
ap-1803	27	16	iλ	iλ	NOUN
ap-1803	27	17	(	(	PUNCT
ap-1803	27	18	δ(x+	δ(x+	ADP
ap-1803	27	19	a)−	a)−	VERB
ap-1803	27	20	δ(x−	δ(x−	X
ap-1803	27	21	a	a	NOUN
ap-1803	27	22	)	)	PUNCT
ap-1803	27	23	)	)	PUNCT
ap-1803	27	24	(	(	PUNCT
ap-1803	27	25	3.1	3.1	NUM
ap-1803	27	26	)	)	PUNCT
ap-1803	27	27	with	with	ADP
ap-1803	27	28	the	the	DET
ap-1803	27	29	scattering	scatter	VERB
ap-1803	27	30	wave	wave	NOUN
ap-1803	27	31	function	function	NOUN
ap-1803	27	32	,	,	PUNCT
ap-1803	27	33	in	in	ADP
ap-1803	27	34	the	the	DET
ap-1803	27	35	situation	situation	NOUN
ap-1803	27	36	where	where	SCONJ
ap-1803	27	37	the	the	DET
ap-1803	27	38	plane	plane	NOUN
ap-1803	27	39	wave	wave	NOUN
ap-1803	27	40	comes	come	VERB
ap-1803	27	41	in	in	ADP
ap-1803	27	42	from	from	ADP
ap-1803	27	43	the	the	DET
ap-1803	27	44	left	left	NOUN
ap-1803	27	45	and	and	CCONJ
ap-1803	27	46	is	be	AUX
ap-1803	27	47	either	either	CCONJ
ap-1803	27	48	reflected	reflect	VERB
ap-1803	27	49	or	or	CCONJ
ap-1803	27	50	transmitted	transmit	VERB
ap-1803	27	51	at	at	ADP
ap-1803	27	52	the	the	DET
ap-1803	27	53	delta	delta	NOUN
ap-1803	27	54	function	function	NOUN
ap-1803	27	55	potential	potential	NOUN
ap-1803	27	56	,	,	PUNCT
ap-1803	27	57	is	be	AUX
ap-1803	27	58	of	of	ADP
ap-1803	27	59	the	the	DET
ap-1803	27	60	form	form	NOUN
ap-1803	27	61	{	{	PUNCT
ap-1803	27	62	ψ<(x	ψ<(x	NOUN
ap-1803	27	63	)	)	PUNCT
ap-1803	27	64	=	=	VERB
ap-1803	28	1	eikx	eikx	VERB
ap-1803	29	1	+	+	CCONJ
ap-1803	29	2	re−ikx	re−ikx	X
ap-1803	29	3	if	if	SCONJ
ap-1803	29	4	x	x	X
ap-1803	29	5	�	�	PROPN
ap-1803	29	6	−a	−a	NOUN
ap-1803	29	7	,	,	PUNCT
ap-1803	29	8	ψ>(x	ψ>(x	PRON
ap-1803	29	9	)	)	PUNCT
ap-1803	29	10	=	=	SYM
ap-1803	29	11	teikx	teikx	VERB
ap-1803	29	12	if	if	SCONJ
ap-1803	29	13	x	x	X
ap-1803	29	14	�	�	PROPN
ap-1803	29	15	a	a	PRON
ap-1803	29	16	,	,	PUNCT
ap-1803	29	17	(	(	PUNCT
ap-1803	29	18	3.2	3.2	NUM
ap-1803	29	19	)	)	PUNCT
ap-1803	29	20	where	where	SCONJ
ap-1803	29	21	ψ<(x	ψ<(x	NOUN
ap-1803	29	22	)	)	PUNCT
ap-1803	29	23	and	and	CCONJ
ap-1803	29	24	ψ>(x	ψ>(x	PRON
ap-1803	29	25	)	)	PUNCT
ap-1803	29	26	are	be	AUX
ap-1803	29	27	respectively	respectively	ADV
ap-1803	29	28	the	the	DET
ap-1803	29	29	incoming	incoming	ADJ
ap-1803	29	30	and	and	CCONJ
ap-1803	29	31	the	the	DET
ap-1803	29	32	outgoing	outgoing	ADJ
ap-1803	29	33	wave	wave	NOUN
ap-1803	29	34	functions	function	NOUN
ap-1803	29	35	.	.	PUNCT
ap-1803	30	1	the	the	DET
ap-1803	30	2	metric	metric	NOUN
ap-1803	30	3	was	be	AUX
ap-1803	30	4	given	give	VERB
ap-1803	30	5	in	in	ADP
ap-1803	30	6	[	[	X
ap-1803	30	7	2	2	NUM
ap-1803	30	8	]	]	PUNCT
ap-1803	30	9	as	as	ADP
ap-1803	30	10	a	a	DET
ap-1803	30	11	perturbative	perturbative	ADJ
ap-1803	30	12	series	series	NOUN
ap-1803	30	13	in	in	ADP
ap-1803	30	14	λ	λ	PROPN
ap-1803	30	15	,	,	PUNCT
ap-1803	30	16	to	to	ADP
ap-1803	30	17	first	first	ADJ
ap-1803	30	18	order	order	NOUN
ap-1803	30	19	it	it	PRON
ap-1803	30	20	is	be	AUX
ap-1803	30	21	given	give	VERB
ap-1803	30	22	by	by	ADP
ap-1803	30	23	η(x	η(x	NOUN
ap-1803	30	24	,	,	PUNCT
ap-1803	30	25	y	y	NOUN
ap-1803	30	26	)	)	PUNCT
ap-1803	30	27	=	=	PUNCT
ap-1803	30	28	δ(x−	δ(x−	X
ap-1803	30	29	y	y	NOUN
ap-1803	30	30	)	)	PUNCT
ap-1803	31	1	+	+	CCONJ
ap-1803	31	2	η(1)(x	η(1)(x	NOUN
ap-1803	31	3	,	,	PUNCT
ap-1803	31	4	y	y	PROPN
ap-1803	31	5	)	)	PUNCT
ap-1803	31	6	+	+	NOUN
ap-1803	31	7	o(λ2	o(λ2	ADV
ap-1803	31	8	)	)	PUNCT
ap-1803	31	9	(	(	PUNCT
ap-1803	31	10	3.3	3.3	NUM
ap-1803	31	11	)	)	PUNCT
ap-1803	31	12	280	280	NUM
ap-1803	31	13	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	ADJ
ap-1803	31	14	vol	vol	NOUN
ap-1803	31	15	.	.	PUNCT
ap-1803	32	1	53	53	NUM
ap-1803	32	2	no	no	NOUN
ap-1803	32	3	.	.	PUNCT
ap-1803	33	1	3/2013	3/2013	PROPN
ap-1803	33	2	generalized	generalize	VERB
ap-1803	33	3	continuity	continuity	NOUN
ap-1803	33	4	equation	equation	NOUN
ap-1803	33	5	for	for	ADP
ap-1803	33	6	quasi	quasi	ADJ
ap-1803	33	7	-	-	ADJ
ap-1803	33	8	hermitian	hermitian	ADJ
ap-1803	33	9	hamiltonians	hamiltonian	NOUN
ap-1803	33	10	where	where	SCONJ
ap-1803	33	11	η(1)(x	η(1)(x	NOUN
ap-1803	33	12	,	,	PUNCT
ap-1803	33	13	y	y	PROPN
ap-1803	33	14	)	)	PUNCT
ap-1803	34	1	=	=	VERB
ap-1803	35	1	i	i	PRON
ap-1803	35	2	λ	λ	VERB
ap-1803	35	3	2	2	NUM
ap-1803	35	4	sign(x−	sign(x−	PROPN
ap-1803	35	5	y	y	NOUN
ap-1803	35	6	)	)	PUNCT
ap-1803	35	7	(	(	PUNCT
ap-1803	36	1	θ(x+	θ(x+	ADP
ap-1803	36	2	y	y	PROPN
ap-1803	36	3	+	+	NUM
ap-1803	36	4	2a	2a	NUM
ap-1803	36	5	)	)	PUNCT
ap-1803	36	6	−	−	PUNCT
ap-1803	36	7	θ(x+	θ(x+	PROPN
ap-1803	36	8	y	y	PROPN
ap-1803	36	9	−	−	PROPN
ap-1803	36	10	2a	2a	NUM
ap-1803	36	11	)	)	PUNCT
ap-1803	36	12	)	)	PUNCT
ap-1803	36	13	.	.	PUNCT
ap-1803	37	1	(	(	PUNCT
ap-1803	37	2	3.4	3.4	NUM
ap-1803	37	3	)	)	PUNCT
ap-1803	37	4	let	let	VERB
ap-1803	37	5	us	we	PRON
ap-1803	37	6	apply	apply	VERB
ap-1803	37	7	our	our	PRON
ap-1803	37	8	formula	formula	NOUN
ap-1803	37	9	for	for	ADP
ap-1803	37	10	the	the	DET
ap-1803	37	11	generalized	generalize	VERB
ap-1803	37	12	continuity	continuity	NOUN
ap-1803	37	13	relation	relation	NOUN
ap-1803	37	14	introduced	introduce	VERB
ap-1803	37	15	in	in	ADP
ap-1803	37	16	(	(	PUNCT
ap-1803	37	17	2.4	2.4	NUM
ap-1803	37	18	)	)	PUNCT
ap-1803	37	19	to	to	ADP
ap-1803	37	20	this	this	DET
ap-1803	37	21	case	case	NOUN
ap-1803	37	22	.	.	PUNCT
ap-1803	38	1	therefore	therefore	ADV
ap-1803	38	2	we	we	PRON
ap-1803	38	3	should	should	AUX
ap-1803	38	4	compute	compute	VERB
ap-1803	38	5	the	the	DET
ap-1803	38	6	functions	function	NOUN
ap-1803	38	7	χ(x	χ(x	PROPN
ap-1803	38	8	)	)	PUNCT
ap-1803	38	9	=	=	SYM
ap-1803	38	10	ψ(x	ψ(x	NOUN
ap-1803	38	11	)	)	PUNCT
ap-1803	39	1	+	+	NUM
ap-1803	39	2	∫	∫	PROPN
ap-1803	39	3	η(1)(x	η(1)(x	PROPN
ap-1803	39	4	,	,	PUNCT
ap-1803	39	5	y)ψ(y	y)ψ(y	PROPN
ap-1803	39	6	)	)	PUNCT
ap-1803	39	7	dy	dy	X
ap-1803	39	8	.	.	PUNCT
ap-1803	39	9	(	(	PUNCT
ap-1803	39	10	3.5	3.5	NUM
ap-1803	39	11	)	)	PUNCT
ap-1803	39	12	a	a	DET
ap-1803	39	13	close	close	ADJ
ap-1803	39	14	inspection	inspection	NOUN
ap-1803	39	15	of	of	ADP
ap-1803	39	16	the	the	DET
ap-1803	39	17	metric	metric	NOUN
ap-1803	39	18	shows	show	VERB
ap-1803	39	19	that	that	SCONJ
ap-1803	39	20	for	for	ADP
ap-1803	39	21	both	both	DET
ap-1803	39	22	x	x	NOUN
ap-1803	39	23	�	�	NOUN
ap-1803	39	24	−a	−a	NOUN
ap-1803	39	25	and	and	CCONJ
ap-1803	39	26	x	x	PART
ap-1803	39	27	�	�	PROPN
ap-1803	39	28	a	a	X
ap-1803	39	29	with	with	ADP
ap-1803	39	30	−(x+	−(x+	NUM
ap-1803	39	31	2a	2a	NUM
ap-1803	39	32	)	)	PUNCT
ap-1803	39	33	<	<	X
ap-1803	39	34	y	y	X
ap-1803	39	35	<	<	X
ap-1803	39	36	−(x−	−(x−	PROPN
ap-1803	39	37	2a	2a	NUM
ap-1803	39	38	)	)	PUNCT
ap-1803	39	39	we	we	PRON
ap-1803	39	40	have	have	VERB
ap-1803	39	41	η(1)(x	η(1)(x	NOUN
ap-1803	39	42	,	,	PUNCT
ap-1803	39	43	y	y	PROPN
ap-1803	39	44	)	)	PUNCT
ap-1803	39	45	6=	6=	ADP
ap-1803	39	46	0	0	NUM
ap-1803	39	47	;	;	PUNCT
ap-1803	39	48	otherwise	otherwise	ADV
ap-1803	39	49	it	it	PRON
ap-1803	39	50	is	be	AUX
ap-1803	39	51	zero	zero	NUM
ap-1803	39	52	.	.	PUNCT
ap-1803	40	1	we	we	PRON
ap-1803	40	2	therefore	therefore	ADV
ap-1803	40	3	obtain	obtain	VERB
ap-1803	40	4	for	for	ADP
ap-1803	40	5	x	x	NOUN
ap-1803	40	6	�	�	PROPN
ap-1803	40	7	−a	−a	NOUN
ap-1803	40	8	χ<(x	χ<(x	NUM
ap-1803	40	9	)	)	PUNCT
ap-1803	41	1	=	=	PUNCT
ap-1803	41	2	ψ<(x)−	ψ<(x)−	PROPN
ap-1803	41	3	iλ2	iλ2	NOUN
ap-1803	41	4	∫	∫	PROPN
ap-1803	41	5	−(x−2a	−(x−2a	ADJ
ap-1803	41	6	)	)	PUNCT
ap-1803	41	7	−(x+2a	−(x+2a	X
ap-1803	41	8	)	)	PUNCT
ap-1803	41	9	ψ<(y	ψ<(y	NUM
ap-1803	41	10	)	)	PUNCT
ap-1803	41	11	dy	dy	NOUN
ap-1803	41	12	=	=	SYM
ap-1803	41	13	eikx	eikx	PROPN
ap-1803	41	14	+	+	CCONJ
ap-1803	41	15	(	(	PUNCT
ap-1803	41	16	r	r	NOUN
ap-1803	41	17	−	−	PROPN
ap-1803	41	18	iλ	iλ	NOUN
ap-1803	41	19	k	k	PROPN
ap-1803	41	20	t	t	PROPN
ap-1803	41	21	sin	sin	NOUN
ap-1803	41	22	2ak	2ak	NOUN
ap-1803	41	23	)	)	PUNCT
ap-1803	41	24	e−ikx	e−ikx	NOUN
ap-1803	41	25	(	(	PUNCT
ap-1803	41	26	3.6	3.6	NUM
ap-1803	41	27	)	)	PUNCT
ap-1803	41	28	and	and	CCONJ
ap-1803	41	29	for	for	ADP
ap-1803	41	30	x	x	PROPN
ap-1803	41	31	�	�	PROPN
ap-1803	41	32	a	a	PRON
ap-1803	41	33	we	we	PRON
ap-1803	41	34	find	find	VERB
ap-1803	41	35	χ>(x	χ>(x	NUM
ap-1803	41	36	)	)	PUNCT
ap-1803	41	37	=	=	NUM
ap-1803	41	38	ψ>(x	ψ>(x	PRON
ap-1803	41	39	)	)	PUNCT
ap-1803	42	1	+	+	CCONJ
ap-1803	43	1	i	i	PRON
ap-1803	43	2	λ	λ	X
ap-1803	43	3	2	2	NUM
ap-1803	43	4	∫	∫	NOUN
ap-1803	43	5	−(x−2a	−(x−2a	NOUN
ap-1803	43	6	)	)	PUNCT
ap-1803	43	7	−(x+2a	−(x+2a	X
ap-1803	43	8	)	)	PUNCT
ap-1803	43	9	ψ<(y	ψ<(y	NUM
ap-1803	43	10	)	)	PUNCT
ap-1803	43	11	dy	dy	NOUN
ap-1803	43	12	=	=	SYM
ap-1803	43	13	(	(	PUNCT
ap-1803	43	14	t+	t+	PUNCT
ap-1803	43	15	i	i	PRON
ap-1803	43	16	λ	λ	VERB
ap-1803	43	17	k	k	NOUN
ap-1803	43	18	r	r	NOUN
ap-1803	43	19	sin	sin	NOUN
ap-1803	43	20	2ak	2ak	NOUN
ap-1803	43	21	)	)	PUNCT
ap-1803	43	22	eikx	eikx	PROPN
ap-1803	44	1	+	+	CCONJ
ap-1803	44	2	i	i	PROPN
ap-1803	44	3	λ	λ	X
ap-1803	44	4	k	k	PROPN
ap-1803	44	5	sin	sin	PROPN
ap-1803	44	6	2ak	2ak	ADJ
ap-1803	44	7	e−ikx	e−ikx	NOUN
ap-1803	44	8	.	.	PUNCT
ap-1803	45	1	(	(	PUNCT
ap-1803	45	2	3.7	3.7	NUM
ap-1803	45	3	)	)	PUNCT
ap-1803	45	4	the	the	DET
ap-1803	45	5	second	second	ADJ
ap-1803	45	6	term	term	NOUN
ap-1803	45	7	in	in	ADP
ap-1803	45	8	this	this	DET
ap-1803	45	9	function	function	NOUN
ap-1803	45	10	can	can	AUX
ap-1803	45	11	be	be	AUX
ap-1803	45	12	interpreted	interpret	VERB
ap-1803	45	13	as	as	ADP
ap-1803	45	14	a	a	DET
ap-1803	45	15	reflected	reflect	VERB
ap-1803	45	16	wave	wave	NOUN
ap-1803	45	17	function	function	NOUN
ap-1803	45	18	traveling	travel	VERB
ap-1803	45	19	from	from	ADP
ap-1803	45	20	right	right	ADJ
ap-1803	45	21	to	to	ADP
ap-1803	45	22	left	left	VERB
ap-1803	45	23	and	and	CCONJ
ap-1803	45	24	therefore	therefore	ADV
ap-1803	45	25	it	it	PRON
ap-1803	45	26	has	have	VERB
ap-1803	45	27	no	no	DET
ap-1803	45	28	physical	physical	ADJ
ap-1803	45	29	meaning	meaning	NOUN
ap-1803	45	30	[	[	X
ap-1803	45	31	4	4	NUM
ap-1803	45	32	,	,	PUNCT
ap-1803	45	33	5	5	NUM
ap-1803	45	34	]	]	PUNCT
ap-1803	45	35	.	.	PUNCT
ap-1803	46	1	this	this	PRON
ap-1803	46	2	causes	cause	VERB
ap-1803	46	3	no	no	DET
ap-1803	46	4	problem	problem	NOUN
ap-1803	46	5	in	in	ADP
ap-1803	46	6	our	our	PRON
ap-1803	46	7	approach	approach	NOUN
ap-1803	46	8	since	since	SCONJ
ap-1803	46	9	χ(x	χ(x	PROPN
ap-1803	46	10	)	)	PUNCT
ap-1803	46	11	has	have	VERB
ap-1803	46	12	no	no	DET
ap-1803	46	13	physical	physical	ADJ
ap-1803	46	14	interpretation	interpretation	NOUN
ap-1803	46	15	.	.	PUNCT
ap-1803	47	1	the	the	DET
ap-1803	47	2	generalized	generalized	ADJ
ap-1803	47	3	reflection	reflection	NOUN
ap-1803	47	4	coefficient	coefficient	NOUN
ap-1803	47	5	is	be	AUX
ap-1803	47	6	easily	easily	ADV
ap-1803	47	7	computed	compute	VERB
ap-1803	47	8	using	use	VERB
ap-1803	47	9	its	its	PRON
ap-1803	47	10	definition	definition	NOUN
ap-1803	47	11	in	in	ADP
ap-1803	47	12	terms	term	NOUN
ap-1803	47	13	of	of	ADP
ap-1803	47	14	reflected	reflect	VERB
ap-1803	47	15	and	and	CCONJ
ap-1803	47	16	incident	incident	NOUN
ap-1803	47	17	generalized	generalize	VERB
ap-1803	47	18	currents	current	NOUN
ap-1803	47	19	that	that	PRON
ap-1803	47	20	can	can	AUX
ap-1803	47	21	be	be	AUX
ap-1803	47	22	worked	work	VERB
ap-1803	47	23	out	out	ADP
ap-1803	47	24	using	use	VERB
ap-1803	47	25	(	(	PUNCT
ap-1803	47	26	2.4	2.4	NUM
ap-1803	47	27	)	)	PUNCT
ap-1803	47	28	,	,	PUNCT
ap-1803	47	29	and	and	CCONJ
ap-1803	47	30	is	be	AUX
ap-1803	47	31	given	give	VERB
ap-1803	47	32	by	by	ADP
ap-1803	47	33	r	r	NOUN
ap-1803	47	34	=	=	SYM
ap-1803	47	35	|r|2	|r|2	PROPN
ap-1803	47	36	+	+	CCONJ
ap-1803	47	37	iλ	iλ	PROPN
ap-1803	47	38	4	4	NUM
ap-1803	47	39	t∗r	t∗r	NUM
ap-1803	47	40	sin	sin	NOUN
ap-1803	47	41	2ak	2ak	NOUN
ap-1803	47	42	.	.	PUNCT
ap-1803	48	1	(	(	PUNCT
ap-1803	48	2	3.8	3.8	NUM
ap-1803	48	3	)	)	PUNCT
ap-1803	48	4	similarly	similarly	ADV
ap-1803	48	5	the	the	DET
ap-1803	48	6	generalized	generalized	ADJ
ap-1803	48	7	transmission	transmission	NOUN
ap-1803	48	8	coefficient	coefficient	NOUN
ap-1803	48	9	can	can	AUX
ap-1803	48	10	be	be	AUX
ap-1803	48	11	computed	compute	VERB
ap-1803	48	12	using	use	VERB
ap-1803	48	13	the	the	DET
ap-1803	48	14	transmitted	transmit	VERB
ap-1803	48	15	and	and	CCONJ
ap-1803	48	16	incident	incident	NOUN
ap-1803	48	17	currents	current	NOUN
ap-1803	48	18	,	,	PUNCT
ap-1803	48	19	and	and	CCONJ
ap-1803	48	20	is	be	AUX
ap-1803	48	21	given	give	VERB
ap-1803	48	22	by	by	ADP
ap-1803	48	23	t	t	PROPN
ap-1803	48	24	=	=	SYM
ap-1803	48	25	|t|2	|t|2	PROPN
ap-1803	48	26	−	−	PROPN
ap-1803	48	27	iλ	iλ	VERB
ap-1803	48	28	4	4	NUM
ap-1803	48	29	r∗t	r∗t	NOUN
ap-1803	48	30	sin	sin	NOUN
ap-1803	48	31	2ak	2ak	NOUN
ap-1803	48	32	(	(	PUNCT
ap-1803	48	33	3.9	3.9	NUM
ap-1803	48	34	)	)	PUNCT
ap-1803	48	35	leading	lead	VERB
ap-1803	48	36	to	to	ADP
ap-1803	48	37	r+	r+	X
ap-1803	48	38	t	t	PROPN
ap-1803	48	39	=	=	SYM
ap-1803	48	40	|r|2	|r|2	PROPN
ap-1803	48	41	+	+	CCONJ
ap-1803	48	42	|t|2	|t|2	PROPN
ap-1803	48	43	+	+	CCONJ
ap-1803	48	44	iλ	iλ	PROPN
ap-1803	48	45	4	4	NUM
ap-1803	48	46	(	(	PUNCT
ap-1803	48	47	t∗r	t∗r	NUM
ap-1803	48	48	−	−	PROPN
ap-1803	48	49	r∗t	r∗t	NOUN
ap-1803	48	50	)	)	PUNCT
ap-1803	48	51	sin	sin	NOUN
ap-1803	48	52	2ak	2ak	NOUN
ap-1803	48	53	.	.	PUNCT
ap-1803	49	1	(	(	PUNCT
ap-1803	49	2	3.10	3.10	NUM
ap-1803	49	3	)	)	PUNCT
ap-1803	49	4	note	note	NOUN
ap-1803	49	5	that	that	SCONJ
ap-1803	49	6	if	if	SCONJ
ap-1803	49	7	we	we	PRON
ap-1803	49	8	use	use	VERB
ap-1803	49	9	the	the	DET
ap-1803	49	10	complex	complex	ADJ
ap-1803	49	11	conjugate	conjugate	NOUN
ap-1803	49	12	of	of	ADP
ap-1803	49	13	relation	relation	NOUN
ap-1803	49	14	(	(	PUNCT
ap-1803	49	15	2.4	2.4	NUM
ap-1803	49	16	)	)	PUNCT
ap-1803	49	17	to	to	PART
ap-1803	49	18	compute	compute	VERB
ap-1803	49	19	the	the	DET
ap-1803	49	20	generalized	generalized	ADJ
ap-1803	49	21	reflection	reflection	NOUN
ap-1803	49	22	and	and	CCONJ
ap-1803	49	23	transmission	transmission	NOUN
ap-1803	49	24	coefficient	coefficient	NOUN
ap-1803	49	25	we	we	PRON
ap-1803	49	26	obtain	obtain	VERB
ap-1803	49	27	the	the	DET
ap-1803	49	28	same	same	ADJ
ap-1803	49	29	result	result	NOUN
ap-1803	49	30	.	.	PUNCT
ap-1803	50	1	this	this	PRON
ap-1803	50	2	is	be	AUX
ap-1803	50	3	easily	easily	ADV
ap-1803	50	4	seen	see	VERB
ap-1803	50	5	from	from	ADP
ap-1803	50	6	the	the	DET
ap-1803	50	7	fact	fact	NOUN
ap-1803	50	8	that	that	SCONJ
ap-1803	50	9	the	the	DET
ap-1803	50	10	reflection	reflection	NOUN
ap-1803	50	11	and	and	CCONJ
ap-1803	50	12	transmission	transmission	NOUN
ap-1803	50	13	coefficients	coefficient	NOUN
ap-1803	50	14	are	be	AUX
ap-1803	50	15	real	real	ADJ
ap-1803	50	16	and	and	CCONJ
ap-1803	50	17	hence	hence	ADV
ap-1803	50	18	the	the	DET
ap-1803	50	19	currents	current	NOUN
ap-1803	50	20	are	be	AUX
ap-1803	50	21	real	real	ADJ
ap-1803	50	22	too	too	ADV
ap-1803	50	23	.	.	PUNCT
ap-1803	51	1	the	the	DET
ap-1803	51	2	first	first	ADJ
ap-1803	51	3	term	term	NOUN
ap-1803	51	4	in	in	ADP
ap-1803	51	5	both	both	DET
ap-1803	51	6	r	r	NOUN
ap-1803	51	7	and	and	CCONJ
ap-1803	51	8	t	t	NOUN
ap-1803	51	9	are	be	AUX
ap-1803	51	10	obviously	obviously	ADV
ap-1803	51	11	real	real	ADJ
ap-1803	51	12	and	and	CCONJ
ap-1803	51	13	the	the	DET
ap-1803	51	14	second	second	ADJ
ap-1803	51	15	terms	term	NOUN
ap-1803	51	16	are	be	AUX
ap-1803	51	17	also	also	ADV
ap-1803	51	18	real	real	ADJ
ap-1803	51	19	because	because	SCONJ
ap-1803	51	20	of	of	ADP
ap-1803	51	21	the	the	DET
ap-1803	51	22	relation	relation	NOUN
ap-1803	51	23	t∗r	t∗r	NOUN
ap-1803	51	24	=	=	SYM
ap-1803	51	25	−r∗t	−r∗t	NOUN
ap-1803	51	26	,	,	PUNCT
ap-1803	51	27	which	which	PRON
ap-1803	51	28	is	be	AUX
ap-1803	51	29	a	a	DET
ap-1803	51	30	general	general	ADJ
ap-1803	51	31	feature	feature	NOUN
ap-1803	51	32	of	of	ADP
ap-1803	51	33	pt	pt	NOUN
ap-1803	51	34	-symmetric	-symmetric	ADJ
ap-1803	51	35	models	model	NOUN
ap-1803	51	36	[	[	X
ap-1803	51	37	12	12	NUM
ap-1803	51	38	]	]	PUNCT
ap-1803	51	39	.	.	PUNCT
ap-1803	52	1	for	for	ADP
ap-1803	52	2	the	the	DET
ap-1803	52	3	model	model	NOUN
ap-1803	52	4	at	at	ADP
ap-1803	52	5	hand	hand	NOUN
ap-1803	52	6	(	(	PUNCT
ap-1803	52	7	3.1	3.1	NUM
ap-1803	52	8	)	)	PUNCT
ap-1803	52	9	,	,	PUNCT
ap-1803	52	10	the	the	DET
ap-1803	52	11	reflection	reflection	NOUN
ap-1803	52	12	and	and	CCONJ
ap-1803	52	13	transmission	transmission	NOUN
ap-1803	52	14	amplitudes	amplitude	NOUN
ap-1803	52	15	can	can	AUX
ap-1803	52	16	be	be	AUX
ap-1803	52	17	easily	easily	ADV
ap-1803	52	18	worked	work	VERB
ap-1803	52	19	out	out	ADP
ap-1803	52	20	,	,	PUNCT
ap-1803	52	21	leading	lead	VERB
ap-1803	52	22	to	to	ADP
ap-1803	52	23	r	r	NOUN
ap-1803	52	24	=	=	PUNCT
ap-1803	52	25	it	it	PRON
ap-1803	52	26	λ	λ	X
ap-1803	52	27	k	k	X
ap-1803	53	1	(	(	PUNCT
ap-1803	53	2	1−	1−	NUM
ap-1803	53	3	λ	λ	PROPN
ap-1803	53	4	2k	2k	NUM
ap-1803	53	5	)	)	PUNCT
ap-1803	53	6	sin	sin	NOUN
ap-1803	53	7	2ak	2ak	NOUN
ap-1803	53	8	(	(	PUNCT
ap-1803	53	9	3.11	3.11	NUM
ap-1803	53	10	)	)	PUNCT
ap-1803	53	11	and	and	CCONJ
ap-1803	53	12	t	t	X
ap-1803	53	13	=	=	SYM
ap-1803	53	14	1	1	NUM
ap-1803	53	15	1	1	NUM
ap-1803	53	16	+	+	CCONJ
ap-1803	54	1	i	i	NOUN
ap-1803	54	2	λ	λ	NOUN
ap-1803	54	3	2	2	NUM
ap-1803	54	4	2k2	2k2	NUM
ap-1803	54	5	e2iak	e2iak	NUM
ap-1803	54	6	sin	sin	NOUN
ap-1803	54	7	2ak	2ak	NOUN
ap-1803	54	8	.	.	PUNCT
ap-1803	55	1	(	(	PUNCT
ap-1803	55	2	3.12	3.12	NUM
ap-1803	55	3	)	)	PUNCT
ap-1803	55	4	it	it	PRON
ap-1803	55	5	is	be	AUX
ap-1803	55	6	worth	worth	ADJ
ap-1803	55	7	noting	note	VERB
ap-1803	55	8	that	that	SCONJ
ap-1803	55	9	if	if	SCONJ
ap-1803	55	10	we	we	PRON
ap-1803	55	11	do	do	VERB
ap-1803	55	12	usual	usual	ADJ
ap-1803	55	13	quantum	quantum	ADJ
ap-1803	55	14	mechanical	mechanical	ADJ
ap-1803	55	15	scattering	scattering	NOUN
ap-1803	55	16	(	(	PUNCT
ap-1803	55	17	η(x	η(x	PROPN
ap-1803	55	18	,	,	PUNCT
ap-1803	55	19	y	y	NOUN
ap-1803	55	20	)	)	PUNCT
ap-1803	55	21	=	=	SYM
ap-1803	55	22	δ(x	δ(x	PROPN
ap-1803	55	23	,	,	PUNCT
ap-1803	55	24	y	y	NOUN
ap-1803	55	25	)	)	PUNCT
ap-1803	55	26	)	)	PUNCT
ap-1803	55	27	by	by	ADP
ap-1803	55	28	using	use	VERB
ap-1803	55	29	the	the	DET
ap-1803	55	30	pt	pt	ADJ
ap-1803	55	31	-	-	ADJ
ap-1803	55	32	symmetric	symmetric	ADJ
ap-1803	55	33	double	double	ADJ
ap-1803	55	34	delta	delta	NOUN
ap-1803	55	35	function	function	NOUN
ap-1803	55	36	potential	potential	NOUN
ap-1803	55	37	we	we	PRON
ap-1803	55	38	will	will	AUX
ap-1803	55	39	not	not	PART
ap-1803	55	40	have	have	VERB
ap-1803	55	41	unitarity	unitarity	PROPN
ap-1803	55	42	|r|2	|r|2	PROPN
ap-1803	55	43	+	+	PROPN
ap-1803	55	44	|t|2	|t|2	PROPN
ap-1803	55	45	=	=	SYM
ap-1803	55	46	1	1	NUM
ap-1803	55	47	+	+	NUM
ap-1803	55	48	λ2	λ2	PROPN
ap-1803	55	49	k2	k2	NOUN
ap-1803	55	50	(	(	PUNCT
ap-1803	55	51	1−	1−	NUM
ap-1803	55	52	λ	λ	PROPN
ap-1803	55	53	2k	2k	NUM
ap-1803	55	54	)	)	PUNCT
ap-1803	55	55	2	2	NUM
ap-1803	55	56	sin2	sin2	NOUN
ap-1803	55	57	2ak	2ak	NOUN
ap-1803	55	58	1−	1−	NUM
ap-1803	55	59	λ2	λ2	PROPN
ap-1803	55	60	k2	k2	NOUN
ap-1803	55	61	(	(	PUNCT
ap-1803	55	62	1−	1−	NUM
ap-1803	55	63	λ2	λ2	NOUN
ap-1803	55	64	4k2	4k2	NUM
ap-1803	55	65	)	)	PUNCT
ap-1803	55	66	sin2	sin2	PROPN
ap-1803	55	67	2ak	2ak	NOUN
ap-1803	55	68	.	.	PUNCT
ap-1803	56	1	(	(	PUNCT
ap-1803	56	2	3.13	3.13	NUM
ap-1803	56	3	)	)	PUNCT
ap-1803	56	4	by	by	ADP
ap-1803	56	5	using	use	VERB
ap-1803	56	6	the	the	DET
ap-1803	56	7	expressions	expression	NOUN
ap-1803	56	8	(	(	PUNCT
ap-1803	56	9	3.11	3.11	NUM
ap-1803	56	10	)	)	PUNCT
ap-1803	56	11	and	and	CCONJ
ap-1803	56	12	(	(	PUNCT
ap-1803	56	13	3.12	3.12	NUM
ap-1803	56	14	)	)	PUNCT
ap-1803	56	15	we	we	PRON
ap-1803	56	16	obtain	obtain	VERB
ap-1803	56	17	t∗r	t∗r	NOUN
ap-1803	56	18	=	=	SYM
ap-1803	56	19	−r∗t	−r∗t	NOUN
ap-1803	56	20	=	=	X
ap-1803	56	21	i	i	PRON
ap-1803	56	22	|t|2λ	|t|2λ	VERB
ap-1803	56	23	k	k	PROPN
ap-1803	56	24	(	(	PUNCT
ap-1803	56	25	1−	1−	NUM
ap-1803	56	26	λ	λ	PROPN
ap-1803	56	27	2k	2k	NUM
ap-1803	56	28	)	)	PUNCT
ap-1803	56	29	sin	sin	NOUN
ap-1803	56	30	2ak	2ak	NOUN
ap-1803	56	31	(	(	PUNCT
ap-1803	56	32	3.14	3.14	NUM
ap-1803	56	33	)	)	PUNCT
ap-1803	56	34	and	and	CCONJ
ap-1803	56	35	after	after	ADP
ap-1803	56	36	a	a	DET
ap-1803	56	37	straightforward	straightforward	ADJ
ap-1803	56	38	computation	computation	NOUN
ap-1803	56	39	we	we	PRON
ap-1803	56	40	can	can	AUX
ap-1803	56	41	show	show	VERB
ap-1803	56	42	that	that	PRON
ap-1803	56	43	r+	r+	PUNCT
ap-1803	56	44	t	t	NOUN
ap-1803	56	45	=	=	SYM
ap-1803	56	46	1	1	X
ap-1803	56	47	.	.	PUNCT
ap-1803	57	1	(	(	PUNCT
ap-1803	57	2	3.15	3.15	NUM
ap-1803	57	3	)	)	PUNCT
ap-1803	57	4	we	we	PRON
ap-1803	57	5	have	have	AUX
ap-1803	57	6	obtained	obtain	VERB
ap-1803	57	7	a	a	DET
ap-1803	57	8	unitarity	unitarity	NOUN
ap-1803	57	9	relation	relation	NOUN
ap-1803	57	10	in	in	ADP
ap-1803	57	11	the	the	DET
ap-1803	57	12	hilbert	hilbert	NOUN
ap-1803	57	13	space	space	NOUN
ap-1803	57	14	hphys	hphy	NOUN
ap-1803	57	15	.	.	PUNCT
ap-1803	58	1	note	note	VERB
ap-1803	58	2	that	that	SCONJ
ap-1803	58	3	this	this	DET
ap-1803	58	4	result	result	NOUN
ap-1803	58	5	is	be	AUX
ap-1803	58	6	exact	exact	ADJ
ap-1803	58	7	in	in	ADP
ap-1803	58	8	λ	λ	NOUN
ap-1803	58	9	,	,	PUNCT
ap-1803	58	10	as	as	SCONJ
ap-1803	58	11	we	we	PRON
ap-1803	58	12	have	have	AUX
ap-1803	58	13	used	use	VERB
ap-1803	58	14	the	the	DET
ap-1803	58	15	full	full	ADJ
ap-1803	58	16	expressions	expression	NOUN
ap-1803	58	17	of	of	ADP
ap-1803	58	18	the	the	DET
ap-1803	58	19	transmission	transmission	NOUN
ap-1803	58	20	(	(	PUNCT
ap-1803	58	21	3.12	3.12	NUM
ap-1803	58	22	)	)	PUNCT
ap-1803	58	23	and	and	CCONJ
ap-1803	58	24	reflection	reflection	NOUN
ap-1803	58	25	amplitudes	amplitude	NOUN
ap-1803	58	26	(	(	PUNCT
ap-1803	58	27	3.11	3.11	NUM
ap-1803	58	28	)	)	PUNCT
ap-1803	58	29	in	in	ADP
ap-1803	58	30	terms	term	NOUN
ap-1803	58	31	of	of	ADP
ap-1803	58	32	λ	λ	PROPN
ap-1803	58	33	(	(	PUNCT
ap-1803	58	34	to	to	ADP
ap-1803	58	35	all	all	DET
ap-1803	58	36	orders	order	NOUN
ap-1803	58	37	)	)	PUNCT
ap-1803	58	38	.	.	PUNCT
ap-1803	59	1	this	this	PRON
ap-1803	59	2	is	be	AUX
ap-1803	59	3	a	a	DET
ap-1803	59	4	puzzling	puzzling	ADJ
ap-1803	59	5	result	result	NOUN
ap-1803	59	6	that	that	SCONJ
ap-1803	59	7	we	we	PRON
ap-1803	59	8	have	have	AUX
ap-1803	59	9	yet	yet	ADV
ap-1803	59	10	to	to	PART
ap-1803	59	11	understand	understand	VERB
ap-1803	59	12	.	.	PUNCT
ap-1803	60	1	it	it	PRON
ap-1803	60	2	is	be	AUX
ap-1803	60	3	clear	clear	ADJ
ap-1803	60	4	that	that	SCONJ
ap-1803	60	5	if	if	SCONJ
ap-1803	60	6	one	one	PRON
ap-1803	60	7	uses	use	VERB
ap-1803	60	8	the	the	DET
ap-1803	60	9	expressions	expression	NOUN
ap-1803	60	10	for	for	ADP
ap-1803	60	11	t	t	PROPN
ap-1803	60	12	and	and	CCONJ
ap-1803	60	13	r	r	NOUN
ap-1803	60	14	to	to	ADP
ap-1803	60	15	first	first	ADJ
ap-1803	60	16	order	order	NOUN
ap-1803	60	17	in	in	ADP
ap-1803	60	18	λ	λ	NOUN
ap-1803	60	19	,	,	PUNCT
ap-1803	60	20	the	the	DET
ap-1803	60	21	relation	relation	NOUN
ap-1803	60	22	(	(	PUNCT
ap-1803	60	23	3.15	3.15	NUM
ap-1803	60	24	)	)	PUNCT
ap-1803	60	25	holds	hold	VERB
ap-1803	60	26	trivially	trivially	ADV
ap-1803	60	27	.	.	PUNCT
ap-1803	61	1	a	a	DET
ap-1803	61	2	possible	possible	ADJ
ap-1803	61	3	explanation	explanation	NOUN
ap-1803	61	4	is	be	AUX
ap-1803	61	5	that	that	SCONJ
ap-1803	61	6	the	the	DET
ap-1803	61	7	higher	high	ADJ
ap-1803	61	8	orders	order	NOUN
ap-1803	61	9	in	in	ADP
ap-1803	61	10	λ	λ	PROPN
ap-1803	61	11	of	of	ADP
ap-1803	61	12	the	the	DET
ap-1803	61	13	metric	metric	NOUN
ap-1803	61	14	somehow	somehow	ADV
ap-1803	61	15	will	will	AUX
ap-1803	61	16	not	not	PART
ap-1803	61	17	change	change	VERB
ap-1803	61	18	the	the	DET
ap-1803	61	19	result	result	NOUN
ap-1803	61	20	of	of	ADP
ap-1803	61	21	the	the	DET
ap-1803	61	22	continuity	continuity	NOUN
ap-1803	61	23	relation	relation	NOUN
ap-1803	61	24	.	.	PUNCT
ap-1803	62	1	for	for	SCONJ
ap-1803	62	2	this	this	PRON
ap-1803	62	3	to	to	PART
ap-1803	62	4	be	be	AUX
ap-1803	62	5	true	true	ADJ
ap-1803	62	6	,	,	PUNCT
ap-1803	62	7	the	the	DET
ap-1803	62	8	higher	high	ADJ
ap-1803	62	9	order	order	NOUN
ap-1803	62	10	corrections	correction	NOUN
ap-1803	62	11	should	should	AUX
ap-1803	62	12	not	not	PART
ap-1803	62	13	contribute	contribute	VERB
ap-1803	62	14	to	to	ADP
ap-1803	62	15	the	the	DET
ap-1803	62	16	functions	function	NOUN
ap-1803	62	17	χ<(x	χ<(x	NOUN
ap-1803	62	18	)	)	PUNCT
ap-1803	62	19	and	and	CCONJ
ap-1803	62	20	χ>(x	χ>(x	NUM
ap-1803	62	21	)	)	PUNCT
ap-1803	62	22	.	.	PUNCT
ap-1803	63	1	4	4	X
ap-1803	63	2	.	.	X
ap-1803	63	3	conclusion	conclusion	NOUN
ap-1803	63	4	we	we	PRON
ap-1803	63	5	have	have	AUX
ap-1803	63	6	been	be	AUX
ap-1803	63	7	able	able	ADJ
ap-1803	63	8	to	to	PART
ap-1803	63	9	show	show	VERB
ap-1803	63	10	that	that	SCONJ
ap-1803	63	11	the	the	DET
ap-1803	63	12	generalized	generalized	ADJ
ap-1803	63	13	current	current	NOUN
ap-1803	63	14	defined	define	VERB
ap-1803	63	15	with	with	ADP
ap-1803	63	16	respect	respect	NOUN
ap-1803	63	17	to	to	ADP
ap-1803	63	18	the	the	DET
ap-1803	63	19	metric	metric	PROPN
ap-1803	63	20	η	η	PROPN
ap-1803	63	21	is	be	AUX
ap-1803	63	22	conserved	conserve	VERB
ap-1803	63	23	(	(	PUNCT
ap-1803	63	24	jη)in	jη)in	X
ap-1803	63	25	−	−	PROPN
ap-1803	63	26	(	(	PUNCT
ap-1803	63	27	jη)out	jη)out	ADP
ap-1803	63	28	=	=	SYM
ap-1803	63	29	0	0	NUM
ap-1803	63	30	(	(	PUNCT
ap-1803	63	31	4.1	4.1	NUM
ap-1803	63	32	)	)	PUNCT
ap-1803	63	33	and	and	CCONJ
ap-1803	63	34	the	the	DET
ap-1803	63	35	corresponding	corresponding	ADJ
ap-1803	63	36	generalized	generalized	ADJ
ap-1803	63	37	reflection	reflection	NOUN
ap-1803	63	38	and	and	CCONJ
ap-1803	63	39	transmission	transmission	NOUN
ap-1803	63	40	coefficients	coefficient	NOUN
ap-1803	63	41	obey	obey	VERB
ap-1803	63	42	the	the	DET
ap-1803	63	43	unitarity	unitarity	PROPN
ap-1803	63	44	relation	relation	NOUN
ap-1803	63	45	for	for	ADP
ap-1803	63	46	the	the	DET
ap-1803	63	47	quasi	quasi	ADJ
ap-1803	63	48	-	-	ADJ
ap-1803	63	49	hermitian	hermitian	ADJ
ap-1803	63	50	continuous	continuous	ADJ
ap-1803	63	51	double	double	ADJ
ap-1803	63	52	delta	delta	NOUN
ap-1803	63	53	function	function	NOUN
ap-1803	63	54	potential	potential	NOUN
ap-1803	63	55	.	.	PUNCT
ap-1803	64	1	although	although	SCONJ
ap-1803	64	2	the	the	DET
ap-1803	64	3	metric	metric	NOUN
ap-1803	64	4	used	use	VERB
ap-1803	64	5	in	in	ADP
ap-1803	64	6	the	the	DET
ap-1803	64	7	continuous	continuous	ADJ
ap-1803	64	8	case	case	NOUN
ap-1803	64	9	is	be	AUX
ap-1803	64	10	perturbative	perturbative	ADJ
ap-1803	64	11	in	in	ADP
ap-1803	64	12	the	the	DET
ap-1803	64	13	strength	strength	NOUN
ap-1803	64	14	of	of	ADP
ap-1803	64	15	the	the	DET
ap-1803	64	16	imaginary	imaginary	ADJ
ap-1803	64	17	part	part	NOUN
ap-1803	64	18	of	of	ADP
ap-1803	64	19	the	the	DET
ap-1803	64	20	potential	potential	ADJ
ap-1803	64	21	λ	λ	NOUN
ap-1803	64	22	,	,	PUNCT
ap-1803	64	23	the	the	DET
ap-1803	64	24	results	result	NOUN
ap-1803	64	25	of	of	ADP
ap-1803	64	26	the	the	DET
ap-1803	64	27	unitarity	unitarity	PROPN
ap-1803	64	28	relation	relation	NOUN
ap-1803	64	29	were	be	AUX
ap-1803	64	30	obtained	obtain	VERB
ap-1803	64	31	using	use	VERB
ap-1803	64	32	the	the	DET
ap-1803	64	33	expression	expression	NOUN
ap-1803	64	34	for	for	ADP
ap-1803	64	35	the	the	DET
ap-1803	64	36	amplitudes	amplitude	NOUN
ap-1803	64	37	to	to	ADP
ap-1803	64	38	all	all	DET
ap-1803	64	39	orders	order	NOUN
ap-1803	64	40	in	in	ADP
ap-1803	64	41	λ	λ	PROPN
ap-1803	64	42	.	.	PUNCT
ap-1803	65	1	and	and	CCONJ
ap-1803	65	2	so	so	ADV
ap-1803	65	3	this	this	PRON
ap-1803	65	4	arises	arise	VERB
ap-1803	65	5	a	a	DET
ap-1803	65	6	question	question	NOUN
ap-1803	65	7	that	that	PRON
ap-1803	65	8	deserves	deserve	VERB
ap-1803	65	9	further	further	ADJ
ap-1803	65	10	investigation	investigation	NOUN
ap-1803	65	11	.	.	PUNCT
ap-1803	66	1	to	to	ADP
ap-1803	66	2	this	this	DET
ap-1803	66	3	end	end	NOUN
ap-1803	66	4	,	,	PUNCT
ap-1803	66	5	one	one	PRON
ap-1803	66	6	has	have	VERB
ap-1803	66	7	to	to	PART
ap-1803	66	8	work	work	VERB
ap-1803	66	9	out	out	ADP
ap-1803	66	10	the	the	DET
ap-1803	66	11	metric	metric	NOUN
ap-1803	66	12	to	to	ADP
ap-1803	66	13	a	a	DET
ap-1803	66	14	higher	high	ADJ
ap-1803	66	15	order	order	NOUN
ap-1803	66	16	in	in	ADP
ap-1803	66	17	λ	λ	NOUN
ap-1803	66	18	.	.	PUNCT
ap-1803	66	19	finally	finally	ADV
ap-1803	66	20	an	an	DET
ap-1803	66	21	interesting	interesting	ADJ
ap-1803	66	22	and	and	CCONJ
ap-1803	66	23	urgent	urgent	ADJ
ap-1803	66	24	question	question	NOUN
ap-1803	66	25	is	be	AUX
ap-1803	66	26	to	to	PART
ap-1803	66	27	understand	understand	VERB
ap-1803	66	28	the	the	DET
ap-1803	66	29	physical	physical	ADJ
ap-1803	66	30	implementation	implementation	NOUN
ap-1803	66	31	of	of	ADP
ap-1803	66	32	the	the	DET
ap-1803	66	33	metric	metric	PROPN
ap-1803	66	34	η	η	PROPN
ap-1803	66	35	in	in	ADP
ap-1803	66	36	these	these	DET
ap-1803	66	37	scattering	scatter	VERB
ap-1803	66	38	processes	process	NOUN
ap-1803	66	39	.	.	PUNCT
ap-1803	67	1	281	281	NUM
ap-1803	67	2	amine	amine	PROPN
ap-1803	67	3	b.	b.	PROPN
ap-1803	67	4	hammou	hammou	PROPN
ap-1803	67	5	acta	acta	PROPN
ap-1803	67	6	polytechnica	polytechnica	PROPN
ap-1803	67	7	acknowledgements	acknowledgement	NOUN
ap-1803	67	8	i	i	PRON
ap-1803	67	9	would	would	AUX
ap-1803	67	10	like	like	VERB
ap-1803	67	11	to	to	PART
ap-1803	67	12	thank	thank	VERB
ap-1803	67	13	the	the	DET
ap-1803	67	14	abdus	abdus	NOUN
ap-1803	67	15	salam	salam	PROPN
ap-1803	67	16	international	international	PROPN
ap-1803	67	17	center	center	PROPN
ap-1803	67	18	for	for	ADP
ap-1803	67	19	theoretical	theoretical	ADJ
ap-1803	67	20	physics	physics	NOUN
ap-1803	67	21	ictp	ictp	PROPN
ap-1803	67	22	,	,	PUNCT
ap-1803	67	23	trieste	trieste	PROPN
ap-1803	67	24	,	,	PUNCT
ap-1803	67	25	italy	italy	PROPN
ap-1803	67	26	for	for	ADP
ap-1803	67	27	hospitality	hospitality	NOUN
ap-1803	67	28	and	and	CCONJ
ap-1803	67	29	support	support	NOUN
ap-1803	67	30	.	.	PUNCT
ap-1803	68	1	i	i	PRON
ap-1803	68	2	would	would	AUX
ap-1803	68	3	also	also	ADV
ap-1803	68	4	like	like	VERB
ap-1803	68	5	to	to	PART
ap-1803	68	6	thank	thank	VERB
ap-1803	68	7	m.	m.	NOUN
ap-1803	68	8	znojil	znojil	NOUN
ap-1803	68	9	for	for	ADP
ap-1803	68	10	helpful	helpful	ADJ
ap-1803	68	11	discussions	discussion	NOUN
ap-1803	68	12	and	and	CCONJ
ap-1803	68	13	for	for	ADP
ap-1803	68	14	organizing	organize	VERB
ap-1803	68	15	the	the	DET
ap-1803	68	16	conference	conference	NOUN
ap-1803	68	17	“	"	PUNCT
ap-1803	68	18	analytic	analytic	ADJ
ap-1803	68	19	and	and	CCONJ
ap-1803	68	20	algebraic	algebraic	ADJ
ap-1803	68	21	methods	method	NOUN
ap-1803	68	22	in	in	ADP
ap-1803	68	23	physics	physics	NOUN
ap-1803	68	24	x	x	PROPN
ap-1803	68	25	”	"	PUNCT
ap-1803	68	26	,	,	PUNCT
ap-1803	68	27	prague	prague	PROPN
ap-1803	68	28	.	.	PUNCT
ap-1803	69	1	references	reference	NOUN
ap-1803	69	2	[	[	X
ap-1803	69	3	1	1	NUM
ap-1803	69	4	]	]	X
ap-1803	69	5	amine	amine	PROPN
ap-1803	69	6	b.	b.	PROPN
ap-1803	69	7	hammou	hammou	NOUN
ap-1803	69	8	,	,	PUNCT
ap-1803	69	9	j.	j.	PROPN
ap-1803	69	10	phys	phys	PROPN
ap-1803	69	11	.	.	PUNCT
ap-1803	70	1	a	a	DET
ap-1803	70	2	:	:	PUNCT
ap-1803	70	3	math	math	NOUN
ap-1803	70	4	.	.	PUNCT
ap-1803	71	1	theor	theor	PROPN
ap-1803	71	2	.	.	PUNCT
ap-1803	72	1	45	45	NUM
ap-1803	72	2	(	(	PUNCT
ap-1803	72	3	2012	2012	NUM
ap-1803	72	4	)	)	PUNCT
ap-1803	72	5	215310	215310	NUM
ap-1803	72	6	.	.	PUNCT
ap-1803	73	1	[	[	X
ap-1803	73	2	2	2	X
ap-1803	73	3	]	]	X
ap-1803	73	4	h.	h.	PROPN
ap-1803	73	5	mehri	mehri	PROPN
ap-1803	73	6	-	-	PUNCT
ap-1803	73	7	dehnavi	dehnavi	ADV
ap-1803	73	8	,	,	PUNCT
ap-1803	73	9	a.	a.	NOUN
ap-1803	73	10	mostafazadeh	mostafazadeh	PROPN
ap-1803	73	11	,	,	PUNCT
ap-1803	73	12	a.	a.	PROPN
ap-1803	73	13	batal	batal	PROPN
ap-1803	73	14	,	,	PUNCT
ap-1803	73	15	j.	j.	PROPN
ap-1803	73	16	phys	phys	PROPN
ap-1803	73	17	.	.	PUNCT
ap-1803	74	1	a43	a43	PROPN
ap-1803	74	2	,	,	PUNCT
ap-1803	74	3	145301	145301	NUM
ap-1803	74	4	(	(	PUNCT
ap-1803	74	5	2010	2010	NUM
ap-1803	74	6	)	)	PUNCT
ap-1803	74	7	.	.	PUNCT
ap-1803	75	1	[	[	X
ap-1803	75	2	3	3	X
ap-1803	75	3	]	]	PUNCT
ap-1803	75	4	m.	m.	NOUN
ap-1803	75	5	znojil	znojil	NOUN
ap-1803	75	6	,	,	PUNCT
ap-1803	75	7	phys	phy	NOUN
ap-1803	75	8	.	.	PUNCT
ap-1803	76	1	rev	rev	PROPN
ap-1803	76	2	.	.	PROPN
ap-1803	76	3	d78	d78	PROPN
ap-1803	76	4	,	,	PUNCT
ap-1803	76	5	025026	025026	NUM
ap-1803	76	6	(	(	PUNCT
ap-1803	76	7	2008	2008	NUM
ap-1803	76	8	)	)	PUNCT
ap-1803	76	9	.	.	PUNCT
ap-1803	77	1	[	[	X
ap-1803	77	2	4	4	X
ap-1803	77	3	]	]	PUNCT
ap-1803	77	4	h.	h.	PROPN
ap-1803	77	5	f.	f.	PROPN
ap-1803	77	6	jones	jones	PROPN
ap-1803	77	7	,	,	PUNCT
ap-1803	77	8	phys	phys	PROPN
ap-1803	77	9	.	.	PUNCT
ap-1803	78	1	rev	rev	PROPN
ap-1803	78	2	.	.	PROPN
ap-1803	78	3	d76	d76	NOUN
ap-1803	78	4	,	,	PUNCT
ap-1803	78	5	125003	125003	NUM
ap-1803	78	6	(	(	PUNCT
ap-1803	78	7	2007	2007	NUM
ap-1803	78	8	)	)	PUNCT
ap-1803	78	9	.	.	PUNCT
ap-1803	79	1	[	[	X
ap-1803	79	2	5	5	X
ap-1803	79	3	]	]	PUNCT
ap-1803	79	4	h.	h.	PROPN
ap-1803	79	5	f.	f.	PROPN
ap-1803	79	6	jones	jones	PROPN
ap-1803	79	7	,	,	PUNCT
ap-1803	79	8	phys	phys	PROPN
ap-1803	79	9	.	.	PUNCT
ap-1803	80	1	rev	rev	PROPN
ap-1803	80	2	.	.	PROPN
ap-1803	80	3	d78	d78	PROPN
ap-1803	80	4	,	,	PUNCT
ap-1803	80	5	065032	065032	NUM
ap-1803	80	6	(	(	PUNCT
ap-1803	80	7	2008	2008	NUM
ap-1803	80	8	)	)	PUNCT
ap-1803	80	9	.	.	PUNCT
ap-1803	81	1	[	[	X
ap-1803	81	2	6	6	NUM
ap-1803	81	3	]	]	PUNCT
ap-1803	81	4	z.	z.	PROPN
ap-1803	81	5	ahmed	ahmed	PROPN
ap-1803	81	6	,	,	PUNCT
ap-1803	81	7	arxiv:1207.6896	arxiv:1207.6896	NOUN
ap-1803	81	8	.	.	PUNCT
ap-1803	82	1	[	[	X
ap-1803	82	2	7	7	X
ap-1803	82	3	]	]	X
ap-1803	82	4	f.	f.	PROPN
ap-1803	82	5	g.	g.	PROPN
ap-1803	82	6	scholtz	scholtz	PROPN
ap-1803	82	7	,	,	PUNCT
ap-1803	82	8	h.	h.	PROPN
ap-1803	82	9	b.	b.	PROPN
ap-1803	82	10	geyer	geyer	PROPN
ap-1803	82	11	and	and	CCONJ
ap-1803	82	12	f.	f.	PROPN
ap-1803	82	13	j.	j.	PROPN
ap-1803	82	14	w.	w.	PROPN
ap-1803	82	15	hahne	hahne	PROPN
ap-1803	82	16	,	,	PUNCT
ap-1803	82	17	ann	ann	PROPN
ap-1803	82	18	.	.	PUNCT
ap-1803	83	1	phys	phys	PROPN
ap-1803	83	2	.	.	PUNCT
ap-1803	84	1	213	213	NUM
ap-1803	84	2	,	,	PUNCT
ap-1803	84	3	74	74	NUM
ap-1803	84	4	(	(	PUNCT
ap-1803	84	5	1992	1992	NUM
ap-1803	84	6	)	)	PUNCT
ap-1803	84	7	.	.	PUNCT
ap-1803	85	1	[	[	X
ap-1803	85	2	8	8	NUM
ap-1803	85	3	]	]	X
ap-1803	85	4	a	a	PRON
ap-1803	85	5	,	,	PUNCT
ap-1803	85	6	mostafazadeh	mostafazadeh	PROPN
ap-1803	85	7	,	,	PUNCT
ap-1803	85	8	int	int	NOUN
ap-1803	85	9	.	.	PUNCT
ap-1803	86	1	j.	j.	PROPN
ap-1803	86	2	geom	geom	PROPN
ap-1803	86	3	.	.	PUNCT
ap-1803	87	1	meth	meth	PROPN
ap-1803	87	2	.	.	PUNCT
ap-1803	88	1	mod	mod	PROPN
ap-1803	88	2	.	.	PUNCT
ap-1803	89	1	phys	phy	NOUN
ap-1803	89	2	.	.	PUNCT
ap-1803	90	1	7	7	NUM
ap-1803	90	2	,	,	PUNCT
ap-1803	90	3	1191	1191	NUM
ap-1803	90	4	(	(	PUNCT
ap-1803	90	5	2010	2010	NUM
ap-1803	90	6	)	)	PUNCT
ap-1803	90	7	.	.	PUNCT
ap-1803	91	1	[	[	X
ap-1803	91	2	9	9	NUM
ap-1803	91	3	]	]	PUNCT
ap-1803	91	4	a.	a.	NOUN
ap-1803	91	5	mostafazadeh	mostafazadeh	PROPN
ap-1803	91	6	,	,	PUNCT
ap-1803	91	7	j.	j.	PROPN
ap-1803	91	8	math	math	PROPN
ap-1803	91	9	.	.	PUNCT
ap-1803	92	1	phys	phy	NOUN
ap-1803	92	2	.	.	PUNCT
ap-1803	93	1	46	46	NUM
ap-1803	93	2	,	,	PUNCT
ap-1803	93	3	102108	102108	NUM
ap-1803	93	4	,	,	PUNCT
ap-1803	93	5	(	(	PUNCT
ap-1803	93	6	2005	2005	NUM
ap-1803	93	7	)	)	PUNCT
ap-1803	93	8	.	.	PUNCT
ap-1803	94	1	[	[	X
ap-1803	94	2	10	10	NUM
ap-1803	94	3	]	]	PUNCT
ap-1803	94	4	a.	a.	NOUN
ap-1803	94	5	mostafazadeh	mostafazadeh	PROPN
ap-1803	94	6	,	,	PUNCT
ap-1803	94	7	j.	j.	PROPN
ap-1803	94	8	phys	phys	PROPN
ap-1803	94	9	.	.	PUNCT
ap-1803	95	1	a	a	DET
ap-1803	95	2	:	:	PUNCT
ap-1803	95	3	math	math	NOUN
ap-1803	95	4	.	.	PUNCT
ap-1803	96	1	gen	gen	PROPN
ap-1803	96	2	.	.	PROPN
ap-1803	96	3	39	39	NUM
ap-1803	96	4	,	,	PUNCT
ap-1803	96	5	13495	13495	NUM
ap-1803	96	6	(	(	PUNCT
ap-1803	96	7	2006	2006	NUM
ap-1803	96	8	)	)	PUNCT
ap-1803	96	9	.	.	PUNCT
ap-1803	97	1	[	[	X
ap-1803	97	2	11	11	NUM
ap-1803	97	3	]	]	PUNCT
ap-1803	97	4	a.	a.	NOUN
ap-1803	97	5	mostafazadeh	mostafazadeh	PROPN
ap-1803	97	6	,	,	PUNCT
ap-1803	97	7	j.	j.	PROPN
ap-1803	97	8	phys	phys	PROPN
ap-1803	97	9	.	.	PUNCT
ap-1803	98	1	a39	a39	PROPN
ap-1803	98	2	,	,	PUNCT
ap-1803	98	3	10171	10171	NUM
ap-1803	98	4	(	(	PUNCT
ap-1803	98	5	2006	2006	NUM
ap-1803	98	6	)	)	PUNCT
ap-1803	98	7	.	.	PUNCT
ap-1803	99	1	[	[	X
ap-1803	99	2	12	12	NUM
ap-1803	99	3	]	]	X
ap-1803	99	4	f.	f.	PROPN
ap-1803	99	5	cannata	cannata	PROPN
ap-1803	99	6	,	,	PUNCT
ap-1803	99	7	j.-p	j.-p	PROPN
ap-1803	99	8	.	.	PUNCT
ap-1803	100	1	dedonder	dedonder	NOUN
ap-1803	100	2	and	and	CCONJ
ap-1803	100	3	a.	a.	PROPN
ap-1803	100	4	ventura	ventura	PROPN
ap-1803	100	5	,	,	PUNCT
ap-1803	100	6	ann	ann	PROPN
ap-1803	100	7	.	.	PUNCT
ap-1803	100	8	phys	phys	PROPN
ap-1803	100	9	.	.	PUNCT
ap-1803	101	1	322	322	NUM
ap-1803	101	2	,	,	PUNCT
ap-1803	101	3	397	397	NUM
ap-1803	101	4	(	(	PUNCT
ap-1803	101	5	2007	2007	NUM
ap-1803	101	6	)	)	PUNCT
ap-1803	101	7	.	.	PUNCT
ap-1803	102	1	282	282	NUM
ap-1803	102	2	http://arxiv.org/abs/1207.6896	http://arxiv.org/abs/1207.6896	PROPN
ap-1803	102	3	acta	acta	PROPN
ap-1803	102	4	polytechnica	polytechnica	PROPN
ap-1803	102	5	53(3):280–282	53(3):280–282	PROPN
ap-1803	102	6	,	,	PUNCT
ap-1803	102	7	2013	2013	NUM
ap-1803	102	8	1	1	NUM
ap-1803	102	9	introduction	introduction	NOUN
ap-1803	102	10	2	2	NUM
ap-1803	102	11	the	the	DET
ap-1803	102	12	continuity	continuity	NOUN
ap-1803	102	13	relation	relation	NOUN
ap-1803	102	14	in	in	ADP
ap-1803	102	15	h_phys	h_phy	NOUN
ap-1803	102	16	3	3	NUM
ap-1803	102	17	the	the	DET
ap-1803	102	18	continuous	continuous	ADJ
ap-1803	102	19	double	double	ADJ
ap-1803	102	20	delta	delta	NOUN
ap-1803	102	21	function	function	NOUN
ap-1803	102	22	potential	potential	ADJ
ap-1803	102	23	4	4	NUM
ap-1803	102	24	conclusion	conclusion	NOUN
ap-1803	102	25	acknowledgements	acknowledgement	NOUN
ap-1803	102	26	references	reference	NOUN