id	sid	tid	token	lemma	pos
ap-5918	1	1	acta	acta	PROPN
ap-5918	1	2	polytechnica	polytechnica	PROPN
ap-5918	1	3	doi:10.14311	doi:10.14311	PROPN
ap-5918	1	4	/	/	SYM
ap-5918	1	5	ap.2020.60.0111	ap.2020.60.0111	PROPN
ap-5918	1	6	acta	acta	PROPN
ap-5918	1	7	polytechnica	polytechnica	PROPN
ap-5918	1	8	60(2):111–121	60(2):111–121	PROPN
ap-5918	1	9	,	,	PUNCT
ap-5918	1	10	2020	2020	NUM
ap-5918	1	11	©	©	PROPN
ap-5918	1	12	czech	czech	PROPN
ap-5918	1	13	technical	technical	PROPN
ap-5918	1	14	university	university	PROPN
ap-5918	1	15	in	in	ADP
ap-5918	1	16	prague	prague	PROPN
ap-5918	1	17	,	,	PUNCT
ap-5918	1	18	2020	2020	NUM
ap-5918	1	19	available	available	ADJ
ap-5918	1	20	online	online	ADV
ap-5918	1	21	at	at	ADP
ap-5918	1	22	https://ojs.cvut.cz/ojs/index.php/ap	https://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-5918	1	23	analytical	analytical	ADJ
ap-5918	1	24	solution	solution	NOUN
ap-5918	1	25	of	of	ADP
ap-5918	1	26	(	(	PUNCT
ap-5918	1	27	2	2	NUM
ap-5918	1	28	+	+	NOUN
ap-5918	1	29	1	1	NUM
ap-5918	1	30	)	)	PUNCT
ap-5918	1	31	dimensional	dimensional	ADJ
ap-5918	1	32	dirac	dirac	NOUN
ap-5918	1	33	equation	equation	NOUN
ap-5918	1	34	in	in	ADP
ap-5918	1	35	time	time	NOUN
ap-5918	1	36	-	-	PUNCT
ap-5918	1	37	dependent	dependent	ADJ
ap-5918	1	38	noncommutative	noncommutative	ADJ
ap-5918	1	39	phase	phase	NOUN
ap-5918	1	40	-	-	PUNCT
ap-5918	1	41	space	space	NOUN
ap-5918	1	42	ilyas	ilyas	PROPN
ap-5918	1	43	haouam	haouam	PROPN
ap-5918	1	44	université	université	PROPN
ap-5918	1	45	frères	frère	NOUN
ap-5918	1	46	mentouri	mentouri	PROPN
ap-5918	1	47	,	,	PUNCT
ap-5918	1	48	laboratoire	laboratoire	PROPN
ap-5918	1	49	de	de	X
ap-5918	1	50	physique	physique	PROPN
ap-5918	1	51	mathématique	mathématique	X
ap-5918	1	52	et	et	X
ap-5918	1	53	de	de	X
ap-5918	1	54	physique	physique	PROPN
ap-5918	1	55	subatomique	subatomique	NOUN
ap-5918	1	56	(	(	PUNCT
ap-5918	1	57	lpmps	lpmp	NOUN
ap-5918	1	58	)	)	PUNCT
ap-5918	1	59	,	,	PUNCT
ap-5918	1	60	constantine	constantine	PROPN
ap-5918	1	61	25000	25000	NUM
ap-5918	1	62	,	,	PUNCT
ap-5918	1	63	algeria	algeria	PROPN
ap-5918	1	64	correspondence	correspondence	NOUN
ap-5918	1	65	:	:	PUNCT
ap-5918	1	66	ilyashaouam@live.fr	ilyashaouam@live.fr	PROPN
ap-5918	1	67	abstract	abstract	NOUN
ap-5918	1	68	.	.	PUNCT
ap-5918	2	1	in	in	ADP
ap-5918	2	2	this	this	DET
ap-5918	2	3	article	article	NOUN
ap-5918	2	4	,	,	PUNCT
ap-5918	2	5	we	we	PRON
ap-5918	2	6	studied	study	VERB
ap-5918	2	7	the	the	DET
ap-5918	2	8	system	system	NOUN
ap-5918	2	9	of	of	ADP
ap-5918	2	10	a	a	DET
ap-5918	2	11	(	(	PUNCT
ap-5918	2	12	2	2	NUM
ap-5918	2	13	+	+	NOUN
ap-5918	2	14	1	1	NUM
ap-5918	2	15	)	)	PUNCT
ap-5918	2	16	dimensional	dimensional	ADJ
ap-5918	2	17	dirac	dirac	NOUN
ap-5918	2	18	equation	equation	NOUN
ap-5918	2	19	in	in	ADP
ap-5918	2	20	a	a	DET
ap-5918	2	21	time	time	NOUN
ap-5918	2	22	-	-	PUNCT
ap-5918	2	23	dependent	dependent	ADJ
ap-5918	2	24	noncommutative	noncommutative	ADJ
ap-5918	2	25	phase	phase	NOUN
ap-5918	2	26	-	-	PUNCT
ap-5918	2	27	space	space	NOUN
ap-5918	2	28	.	.	PUNCT
ap-5918	3	1	more	more	ADV
ap-5918	3	2	specifically	specifically	ADV
ap-5918	3	3	,	,	PUNCT
ap-5918	3	4	we	we	PRON
ap-5918	3	5	investigated	investigate	VERB
ap-5918	3	6	the	the	DET
ap-5918	3	7	analytical	analytical	ADJ
ap-5918	3	8	solution	solution	NOUN
ap-5918	3	9	of	of	ADP
ap-5918	3	10	the	the	DET
ap-5918	3	11	corresponding	correspond	VERB
ap-5918	3	12	system	system	NOUN
ap-5918	3	13	by	by	ADP
ap-5918	3	14	the	the	DET
ap-5918	3	15	lewis	lewis	PROPN
ap-5918	3	16	-	-	PUNCT
ap-5918	3	17	riesenfeld	riesenfeld	NOUN
ap-5918	3	18	invariant	invariant	ADJ
ap-5918	3	19	method	method	NOUN
ap-5918	3	20	based	base	VERB
ap-5918	3	21	on	on	ADP
ap-5918	3	22	the	the	DET
ap-5918	3	23	construction	construction	NOUN
ap-5918	3	24	of	of	ADP
ap-5918	3	25	the	the	DET
ap-5918	3	26	lewis	lewis	PROPN
ap-5918	3	27	-	-	PUNCT
ap-5918	3	28	riesenfeld	riesenfeld	NOUN
ap-5918	3	29	invariant	invariant	NOUN
ap-5918	3	30	.	.	PUNCT
ap-5918	3	31	knowing	know	VERB
ap-5918	3	32	that	that	SCONJ
ap-5918	3	33	we	we	PRON
ap-5918	3	34	obtained	obtain	VERB
ap-5918	3	35	the	the	DET
ap-5918	3	36	time	time	NOUN
ap-5918	3	37	-	-	PUNCT
ap-5918	3	38	dependent	dependent	ADJ
ap-5918	3	39	dirac	dirac	NOUN
ap-5918	3	40	hamiltonian	hamiltonian	NOUN
ap-5918	3	41	of	of	ADP
ap-5918	3	42	the	the	DET
ap-5918	3	43	problem	problem	NOUN
ap-5918	3	44	in	in	ADP
ap-5918	3	45	question	question	NOUN
ap-5918	3	46	from	from	ADP
ap-5918	3	47	a	a	DET
ap-5918	3	48	time	time	NOUN
ap-5918	3	49	-	-	PUNCT
ap-5918	3	50	dependent	dependent	ADJ
ap-5918	3	51	bopp	bopp	VERB
ap-5918	3	52	-	-	PUNCT
ap-5918	3	53	shift	shift	NOUN
ap-5918	3	54	translation	translation	NOUN
ap-5918	3	55	,	,	PUNCT
ap-5918	3	56	then	then	ADV
ap-5918	3	57	used	use	VERB
ap-5918	3	58	it	it	PRON
ap-5918	3	59	to	to	PART
ap-5918	3	60	set	set	VERB
ap-5918	3	61	the	the	DET
ap-5918	3	62	lewisriesenfeld	lewisriesenfeld	ADJ
ap-5918	3	63	invariant	invariant	ADJ
ap-5918	3	64	operators	operator	NOUN
ap-5918	3	65	.	.	PUNCT
ap-5918	4	1	thereafter	thereafter	ADV
ap-5918	4	2	,	,	PUNCT
ap-5918	4	3	the	the	DET
ap-5918	4	4	obtained	obtain	VERB
ap-5918	4	5	results	result	NOUN
ap-5918	4	6	were	be	AUX
ap-5918	4	7	used	use	VERB
ap-5918	4	8	to	to	PART
ap-5918	4	9	express	express	VERB
ap-5918	4	10	the	the	DET
ap-5918	4	11	eigenfunctions	eigenfunction	NOUN
ap-5918	4	12	that	that	PRON
ap-5918	4	13	lead	lead	VERB
ap-5918	4	14	to	to	ADP
ap-5918	4	15	determining	determine	VERB
ap-5918	4	16	the	the	DET
ap-5918	4	17	general	general	ADJ
ap-5918	4	18	solution	solution	NOUN
ap-5918	4	19	of	of	ADP
ap-5918	4	20	the	the	DET
ap-5918	4	21	system	system	NOUN
ap-5918	4	22	.	.	PUNCT
ap-5918	5	1	keywords	keyword	NOUN
ap-5918	5	2	:	:	PUNCT
ap-5918	5	3	lewis	lewis	NOUN
ap-5918	5	4	-	-	PUNCT
ap-5918	5	5	riesenfeld	riesenfeld	NOUN
ap-5918	5	6	invariant	invariant	ADJ
ap-5918	5	7	method	method	NOUN
ap-5918	5	8	,	,	PUNCT
ap-5918	5	9	time	time	NOUN
ap-5918	5	10	-	-	PUNCT
ap-5918	5	11	dependent	dependent	ADJ
ap-5918	5	12	bopp	bopp	VERB
ap-5918	5	13	-	-	PUNCT
ap-5918	5	14	shift	shift	NOUN
ap-5918	5	15	translation	translation	NOUN
ap-5918	5	16	,	,	PUNCT
ap-5918	5	17	bopp	bopp	PROPN
ap-5918	5	18	’s	’s	PART
ap-5918	5	19	shift	shift	NOUN
ap-5918	5	20	;	;	PUNCT
ap-5918	5	21	time	time	NOUN
ap-5918	5	22	-	-	PUNCT
ap-5918	5	23	dependent	dependent	ADJ
ap-5918	5	24	dirac	dirac	NOUN
ap-5918	5	25	equation	equation	NOUN
ap-5918	5	26	,	,	PUNCT
ap-5918	5	27	time	time	NOUN
ap-5918	5	28	-	-	PUNCT
ap-5918	5	29	dependent	dependent	ADJ
ap-5918	5	30	noncommutative	noncommutative	ADJ
ap-5918	5	31	phase	phase	NOUN
ap-5918	5	32	-	-	PUNCT
ap-5918	5	33	space	space	NOUN
ap-5918	5	34	.	.	PUNCT
ap-5918	6	1	1	1	X
ap-5918	6	2	.	.	X
ap-5918	6	3	introduction	introduction	NOUN
ap-5918	6	4	it	it	PRON
ap-5918	6	5	is	be	AUX
ap-5918	6	6	known	know	VERB
ap-5918	6	7	that	that	SCONJ
ap-5918	6	8	heisenberg	heisenberg	PROPN
ap-5918	6	9	suggested	suggest	VERB
ap-5918	6	10	the	the	DET
ap-5918	6	11	option	option	NOUN
ap-5918	6	12	of	of	ADP
ap-5918	6	13	noncommutative	noncommutative	ADJ
ap-5918	6	14	(	(	PUNCT
ap-5918	6	15	nc	nc	PROPN
ap-5918	6	16	)	)	PUNCT
ap-5918	6	17	space	space	NOUN
ap-5918	6	18	-	-	PUNCT
ap-5918	6	19	time	time	NOUN
ap-5918	6	20	in	in	ADP
ap-5918	6	21	1930	1930	NUM
ap-5918	6	22	,	,	PUNCT
ap-5918	6	23	and	and	CCONJ
ap-5918	6	24	in	in	ADP
ap-5918	6	25	1947	1947	NUM
ap-5918	6	26	,	,	PUNCT
ap-5918	6	27	snyder	snyder	PROPN
ap-5918	6	28	presented	present	VERB
ap-5918	6	29	it	it	PRON
ap-5918	6	30	[	[	X
ap-5918	6	31	1	1	NUM
ap-5918	6	32	,	,	PUNCT
ap-5918	6	33	2	2	NUM
ap-5918	6	34	]	]	PUNCT
ap-5918	6	35	to	to	ADP
ap-5918	6	36	the	the	DET
ap-5918	6	37	necessity	necessity	NOUN
ap-5918	6	38	of	of	ADP
ap-5918	6	39	regularizing	regularize	VERB
ap-5918	6	40	the	the	DET
ap-5918	6	41	divergence	divergence	NOUN
ap-5918	6	42	of	of	ADP
ap-5918	6	43	the	the	DET
ap-5918	6	44	quantum	quantum	ADJ
ap-5918	6	45	field	field	NOUN
ap-5918	6	46	theory	theory	NOUN
ap-5918	6	47	.	.	PUNCT
ap-5918	7	1	then	then	ADV
ap-5918	7	2	,	,	PUNCT
ap-5918	7	3	in	in	ADP
ap-5918	7	4	recent	recent	ADJ
ap-5918	7	5	years	year	NOUN
ap-5918	7	6	,	,	PUNCT
ap-5918	7	7	noncommutative	noncommutative	ADJ
ap-5918	7	8	geometry	geometry	NOUN
ap-5918	7	9	(	(	PUNCT
ap-5918	7	10	ncg	ncg	PROPN
ap-5918	7	11	)	)	PUNCT
ap-5918	7	12	became	become	VERB
ap-5918	7	13	very	very	ADV
ap-5918	7	14	interesting	interesting	ADJ
ap-5918	7	15	for	for	ADP
ap-5918	7	16	studying	study	VERB
ap-5918	7	17	several	several	ADJ
ap-5918	7	18	physical	physical	ADJ
ap-5918	7	19	problems	problem	NOUN
ap-5918	7	20	,	,	PUNCT
ap-5918	7	21	and	and	CCONJ
ap-5918	7	22	it	it	PRON
ap-5918	7	23	became	become	VERB
ap-5918	7	24	clear	clear	ADJ
ap-5918	7	25	that	that	SCONJ
ap-5918	7	26	there	there	PRON
ap-5918	7	27	is	be	VERB
ap-5918	7	28	a	a	DET
ap-5918	7	29	strong	strong	ADJ
ap-5918	7	30	connection	connection	NOUN
ap-5918	7	31	between	between	ADP
ap-5918	7	32	the	the	DET
ap-5918	7	33	ncg	ncg	PROPN
ap-5918	7	34	and	and	CCONJ
ap-5918	7	35	string	string	NOUN
ap-5918	7	36	theories	theory	NOUN
ap-5918	7	37	.	.	PUNCT
ap-5918	8	1	studies	study	NOUN
ap-5918	8	2	of	of	ADP
ap-5918	8	3	this	this	DET
ap-5918	8	4	geometric	geometric	ADJ
ap-5918	8	5	type	type	NOUN
ap-5918	8	6	and	and	CCONJ
ap-5918	8	7	its	its	PRON
ap-5918	8	8	involvement	involvement	NOUN
ap-5918	8	9	have	have	AUX
ap-5918	8	10	been	be	AUX
ap-5918	8	11	incorporated	incorporate	VERB
ap-5918	8	12	with	with	ADP
ap-5918	8	13	important	important	ADJ
ap-5918	8	14	physical	physical	ADJ
ap-5918	8	15	concepts	concept	NOUN
ap-5918	8	16	and	and	CCONJ
ap-5918	8	17	tools	tool	NOUN
ap-5918	8	18	,	,	PUNCT
ap-5918	8	19	and	and	CCONJ
ap-5918	8	20	have	have	AUX
ap-5918	8	21	been	be	AUX
ap-5918	8	22	useful	useful	ADJ
ap-5918	8	23	for	for	ADP
ap-5918	8	24	highlighting	highlight	VERB
ap-5918	8	25	in	in	ADP
ap-5918	8	26	various	various	ADJ
ap-5918	8	27	fields	field	NOUN
ap-5918	8	28	of	of	ADP
ap-5918	8	29	physics	physics	NOUN
ap-5918	8	30	,	,	PUNCT
ap-5918	8	31	particularly	particularly	ADV
ap-5918	8	32	in	in	ADP
ap-5918	8	33	matrix	matrix	NOUN
ap-5918	8	34	theory	theory	NOUN
ap-5918	8	35	(	(	PUNCT
ap-5918	8	36	matrix	matrix	NOUN
ap-5918	8	37	model	model	NOUN
ap-5918	8	38	bfss	bfss	PROPN
ap-5918	8	39	(	(	PUNCT
ap-5918	8	40	1997	1997	NUM
ap-5918	8	41	)	)	PUNCT
ap-5918	8	42	)	)	PUNCT
ap-5918	9	1	[	[	X
ap-5918	9	2	3	3	NUM
ap-5918	9	3	]	]	PUNCT
ap-5918	9	4	.	.	PUNCT
ap-5918	10	1	the	the	DET
ap-5918	10	2	ncg	ncg	PROPN
ap-5918	10	3	was	be	AUX
ap-5918	10	4	involved	involve	VERB
ap-5918	10	5	also	also	ADV
ap-5918	10	6	in	in	ADP
ap-5918	10	7	the	the	DET
ap-5918	10	8	description	description	NOUN
ap-5918	10	9	of	of	ADP
ap-5918	10	10	quantum	quantum	ADJ
ap-5918	10	11	gravity	gravity	NOUN
ap-5918	10	12	theories	theory	NOUN
ap-5918	10	13	[	[	X
ap-5918	10	14	4	4	NUM
ap-5918	10	15	]	]	PUNCT
ap-5918	10	16	,	,	PUNCT
ap-5918	10	17	aharonov	aharonov	PROPN
ap-5918	10	18	-	-	PUNCT
ap-5918	10	19	bohm	bohm	PROPN
ap-5918	10	20	effect	effect	NOUN
ap-5918	10	21	[	[	X
ap-5918	10	22	5	5	NUM
ap-5918	10	23	]	]	PUNCT
ap-5918	10	24	,	,	PUNCT
ap-5918	10	25	aharonov	aharonov	NOUN
ap-5918	10	26	-	-	PUNCT
ap-5918	10	27	casher	casher	NOUN
ap-5918	10	28	effect	effect	NOUN
ap-5918	11	1	[	[	X
ap-5918	11	2	6	6	NUM
ap-5918	11	3	]	]	PUNCT
ap-5918	11	4	,	,	PUNCT
ap-5918	11	5	etc	etc	X
ap-5918	12	1	[	[	X
ap-5918	12	2	7	7	NUM
ap-5918	12	3	]	]	PUNCT
ap-5918	12	4	.	.	PUNCT
ap-5918	13	1	knowing	know	VERB
ap-5918	13	2	that	that	SCONJ
ap-5918	13	3	the	the	DET
ap-5918	13	4	origins	origin	NOUN
ap-5918	13	5	of	of	ADP
ap-5918	13	6	the	the	DET
ap-5918	13	7	ncg	ncg	PROPN
ap-5918	13	8	related	relate	VERB
ap-5918	13	9	to	to	ADP
ap-5918	13	10	the	the	DET
ap-5918	13	11	investigations	investigation	NOUN
ap-5918	13	12	for	for	ADP
ap-5918	13	13	topological	topological	ADJ
ap-5918	13	14	spaces	space	NOUN
ap-5918	13	15	of	of	ADP
ap-5918	13	16	c∗-algebras	c∗-algebra	NOUN
ap-5918	13	17	of	of	ADP
ap-5918	13	18	functions	function	NOUN
ap-5918	13	19	.	.	PUNCT
ap-5918	14	1	later	later	ADV
ap-5918	14	2	this	this	DET
ap-5918	14	3	type	type	NOUN
ap-5918	14	4	of	of	ADP
ap-5918	14	5	geometry	geometry	NOUN
ap-5918	14	6	was	be	AUX
ap-5918	14	7	theorized	theorize	VERB
ap-5918	14	8	by	by	ADP
ap-5918	14	9	a.	a.	NOUN
ap-5918	14	10	connes	conne	NOUN
ap-5918	14	11	and	and	CCONJ
ap-5918	14	12	others	other	NOUN
ap-5918	14	13	in	in	ADP
ap-5918	14	14	1985	1985	NUM
ap-5918	15	1	[	[	X
ap-5918	15	2	8–12	8–12	X
ap-5918	15	3	]	]	PUNCT
ap-5918	15	4	by	by	ADP
ap-5918	15	5	studying	study	VERB
ap-5918	15	6	and	and	CCONJ
ap-5918	15	7	defining	define	VERB
ap-5918	15	8	a	a	DET
ap-5918	15	9	cyclical	cyclical	ADJ
ap-5918	15	10	cohomology	cohomology	NOUN
ap-5918	15	11	.	.	PUNCT
ap-5918	16	1	it	it	PRON
ap-5918	16	2	has	have	AUX
ap-5918	16	3	been	be	AUX
ap-5918	16	4	shown	show	VERB
ap-5918	16	5	that	that	SCONJ
ap-5918	16	6	the	the	DET
ap-5918	16	7	differential	differential	ADJ
ap-5918	16	8	calculus	calculus	NOUN
ap-5918	16	9	on	on	ADP
ap-5918	16	10	manifolds	manifold	NOUN
ap-5918	16	11	had	have	VERB
ap-5918	16	12	an	an	DET
ap-5918	16	13	nc	nc	NOUN
ap-5918	16	14	equivalent	equivalent	NOUN
ap-5918	16	15	.	.	PUNCT
ap-5918	17	1	next	next	ADV
ap-5918	17	2	,	,	PUNCT
ap-5918	17	3	the	the	DET
ap-5918	17	4	ncg	ncg	PROPN
ap-5918	17	5	found	find	VERB
ap-5918	17	6	great	great	ADJ
ap-5918	17	7	encouragement	encouragement	NOUN
ap-5918	17	8	through	through	ADP
ap-5918	17	9	several	several	ADJ
ap-5918	17	10	mathematical	mathematical	ADJ
ap-5918	17	11	results	result	NOUN
ap-5918	17	12	,	,	PUNCT
ap-5918	17	13	such	such	ADJ
ap-5918	17	14	as	as	ADP
ap-5918	17	15	the	the	DET
ap-5918	17	16	k	k	NOUN
ap-5918	17	17	-	-	NOUN
ap-5918	17	18	theory	theory	NOUN
ap-5918	17	19	of	of	ADP
ap-5918	17	20	c∗-algebras	c∗-algebra	NOUN
ap-5918	17	21	,	,	PUNCT
ap-5918	17	22	gelfand	gelfand	ADJ
ap-5918	17	23	-	-	PUNCT
ap-5918	17	24	naïmark	naïmark	PROPN
ap-5918	17	25	theorem	theorem	NOUN
ap-5918	17	26	on	on	ADP
ap-5918	17	27	the	the	DET
ap-5918	17	28	c∗-algebras	c∗-algebra	NOUN
ap-5918	17	29	,	,	PUNCT
ap-5918	17	30	characterizations	characterization	NOUN
ap-5918	17	31	of	of	ADP
ap-5918	17	32	commutative	commutative	ADJ
ap-5918	17	33	von	von	PROPN
ap-5918	17	34	neumann	neumann	PROPN
ap-5918	17	35	algebras	algebras	PROPN
ap-5918	17	36	,	,	PUNCT
ap-5918	17	37	cyclic	cyclic	ADJ
ap-5918	17	38	cohomology	cohomology	NOUN
ap-5918	17	39	of	of	ADP
ap-5918	17	40	the	the	DET
ap-5918	17	41	c∞(m	c∞(m	NOUN
ap-5918	17	42	)	)	PUNCT
ap-5918	17	43	algebra	algebra	NOUN
ap-5918	17	44	,	,	PUNCT
ap-5918	17	45	relations	relation	NOUN
ap-5918	17	46	between	between	ADP
ap-5918	17	47	dirac	dirac	NOUN
ap-5918	17	48	operators	operator	NOUN
ap-5918	17	49	and	and	CCONJ
ap-5918	17	50	riemannian	riemannian	ADJ
ap-5918	17	51	metrics	metric	NOUN
ap-5918	17	52	,	,	PUNCT
ap-5918	17	53	serre	serre	NOUN
ap-5918	17	54	-	-	ADJ
ap-5918	17	55	swan	swan	NOUN
ap-5918	17	56	theorem	theorem	NOUN
ap-5918	17	57	,	,	PUNCT
ap-5918	17	58	etc	etc	X
ap-5918	17	59	.	.	X
ap-5918	18	1	the	the	DET
ap-5918	18	2	idea	idea	NOUN
ap-5918	18	3	of	of	ADP
ap-5918	18	4	the	the	DET
ap-5918	18	5	phase	phase	NOUN
ap-5918	18	6	-	-	PUNCT
ap-5918	18	7	space	space	NOUN
ap-5918	18	8	noncommutativity	noncommutativity	NOUN
ap-5918	18	9	is	be	AUX
ap-5918	18	10	largely	largely	ADV
ap-5918	18	11	motivated	motivate	VERB
ap-5918	18	12	by	by	ADP
ap-5918	18	13	the	the	DET
ap-5918	18	14	foundations	foundation	NOUN
ap-5918	18	15	of	of	ADP
ap-5918	18	16	quantum	quantum	ADJ
ap-5918	18	17	mechanics	mechanic	NOUN
ap-5918	18	18	through	through	ADP
ap-5918	18	19	the	the	DET
ap-5918	18	20	canonical	canonical	ADJ
ap-5918	18	21	quantization	quantization	NOUN
ap-5918	18	22	.	.	PUNCT
ap-5918	19	1	it	it	PRON
ap-5918	19	2	is	be	AUX
ap-5918	19	3	easy	easy	ADJ
ap-5918	19	4	to	to	PART
ap-5918	19	5	apply	apply	VERB
ap-5918	19	6	the	the	DET
ap-5918	19	7	phase	phase	NOUN
ap-5918	19	8	-	-	PUNCT
ap-5918	19	9	space	space	NOUN
ap-5918	19	10	noncommutativity	noncommutativity	NOUN
ap-5918	19	11	using	use	VERB
ap-5918	19	12	the	the	DET
ap-5918	19	13	ordinary	ordinary	ADJ
ap-5918	19	14	product	product	NOUN
ap-5918	19	15	with	with	ADP
ap-5918	19	16	weyl	weyl	VERB
ap-5918	19	17	operators	operator	NOUN
ap-5918	19	18	(	(	PUNCT
ap-5918	19	19	weyl	weyl	VERB
ap-5918	19	20	-	-	PUNCT
ap-5918	19	21	wigner	wigner	NOUN
ap-5918	19	22	maps)[12	maps)[12	NOUN
ap-5918	19	23	]	]	PUNCT
ap-5918	19	24	,	,	PUNCT
ap-5918	19	25	or	or	CCONJ
ap-5918	19	26	by	by	ADP
ap-5918	19	27	replacing	replace	VERB
ap-5918	19	28	the	the	DET
ap-5918	19	29	ordinary	ordinary	ADJ
ap-5918	19	30	product	product	NOUN
ap-5918	19	31	with	with	ADP
ap-5918	19	32	the	the	DET
ap-5918	19	33	moyal	moyal	ADV
ap-5918	19	34	-	-	PUNCT
ap-5918	19	35	weyl	weyl	VERB
ap-5918	19	36	product	product	NOUN
ap-5918	19	37	(	(	PUNCT
ap-5918	19	38	?	?	SYM
ap-5918	19	39	-product	-product	NOUN
ap-5918	19	40	)	)	PUNCT
ap-5918	19	41	in	in	ADP
ap-5918	19	42	the	the	DET
ap-5918	19	43	functions	function	NOUN
ap-5918	19	44	and	and	CCONJ
ap-5918	19	45	actions	action	NOUN
ap-5918	19	46	of	of	ADP
ap-5918	19	47	our	our	PRON
ap-5918	19	48	systems[13	systems[13	NOUN
ap-5918	19	49	,	,	PUNCT
ap-5918	19	50	14	14	NUM
ap-5918	19	51	]	]	PUNCT
ap-5918	19	52	,	,	PUNCT
ap-5918	19	53	also	also	ADV
ap-5918	19	54	the	the	DET
ap-5918	19	55	bopp	bopp	VERB
ap-5918	19	56	-	-	PUNCT
ap-5918	19	57	shift	shift	NOUN
ap-5918	19	58	linear	linear	ADJ
ap-5918	19	59	transformations	transformation	NOUN
ap-5918	19	60	[	[	X
ap-5918	19	61	15	15	NUM
ap-5918	19	62	,	,	PUNCT
ap-5918	19	63	16	16	NUM
ap-5918	19	64	]	]	PUNCT
ap-5918	19	65	,	,	PUNCT
ap-5918	19	66	and	and	CCONJ
ap-5918	19	67	the	the	DET
ap-5918	19	68	seiberg	seiberg	PROPN
ap-5918	19	69	-	-	PUNCT
ap-5918	19	70	witten	witten	VERB
ap-5918	19	71	maps	map	NOUN
ap-5918	19	72	[	[	X
ap-5918	19	73	8	8	NUM
ap-5918	19	74	,	,	PUNCT
ap-5918	19	75	10	10	NUM
ap-5918	19	76	,	,	PUNCT
ap-5918	19	77	17	17	NUM
ap-5918	19	78	]	]	PUNCT
ap-5918	19	79	.	.	PUNCT
ap-5918	20	1	studying	study	VERB
ap-5918	20	2	physics	physics	NOUN
ap-5918	20	3	within	within	ADP
ap-5918	20	4	the	the	DET
ap-5918	20	5	ncg	ncg	PROPN
ap-5918	20	6	has	have	AUX
ap-5918	20	7	attracted	attract	VERB
ap-5918	20	8	a	a	DET
ap-5918	20	9	lot	lot	NOUN
ap-5918	20	10	of	of	ADP
ap-5918	20	11	interest	interest	NOUN
ap-5918	20	12	in	in	ADP
ap-5918	20	13	recent	recent	ADJ
ap-5918	20	14	years	year	NOUN
ap-5918	20	15	,	,	PUNCT
ap-5918	20	16	because	because	SCONJ
ap-5918	20	17	noncommutativity	noncommutativity	NOUN
ap-5918	20	18	is	be	AUX
ap-5918	20	19	necessary	necessary	ADJ
ap-5918	20	20	when	when	SCONJ
ap-5918	20	21	considering	consider	VERB
ap-5918	20	22	the	the	DET
ap-5918	20	23	low	low	ADJ
ap-5918	20	24	-	-	PUNCT
ap-5918	20	25	energy	energy	NOUN
ap-5918	20	26	efficiency	efficiency	NOUN
ap-5918	20	27	of	of	ADP
ap-5918	20	28	d	d	NOUN
ap-5918	20	29	-	-	NOUN
ap-5918	20	30	brane	brane	ADJ
ap-5918	20	31	with	with	ADP
ap-5918	20	32	a	a	DET
ap-5918	20	33	background	background	NOUN
ap-5918	20	34	magnetic	magnetic	ADJ
ap-5918	20	35	field	field	NOUN
ap-5918	20	36	,	,	PUNCT
ap-5918	20	37	and	and	CCONJ
ap-5918	20	38	also	also	ADV
ap-5918	20	39	in	in	ADP
ap-5918	20	40	a	a	DET
ap-5918	20	41	tiny	tiny	ADJ
ap-5918	20	42	scale	scale	NOUN
ap-5918	20	43	of	of	ADP
ap-5918	20	44	strings	string	NOUN
ap-5918	20	45	or	or	CCONJ
ap-5918	20	46	in	in	ADP
ap-5918	20	47	conditions	condition	NOUN
ap-5918	20	48	of	of	ADP
ap-5918	20	49	a	a	DET
ap-5918	20	50	very	very	ADV
ap-5918	20	51	high	high	ADJ
ap-5918	20	52	energy	energy	NOUN
ap-5918	20	53	,	,	PUNCT
ap-5918	20	54	the	the	DET
ap-5918	20	55	effects	effect	NOUN
ap-5918	20	56	of	of	ADP
ap-5918	20	57	noncommutativity	noncommutativity	NOUN
ap-5918	20	58	may	may	AUX
ap-5918	20	59	appear	appear	VERB
ap-5918	20	60	.	.	PUNCT
ap-5918	21	1	besides	besides	SCONJ
ap-5918	21	2	,	,	PUNCT
ap-5918	21	3	one	one	NUM
ap-5918	21	4	of	of	ADP
ap-5918	21	5	the	the	DET
ap-5918	21	6	strong	strong	ADJ
ap-5918	21	7	motivations	motivation	NOUN
ap-5918	21	8	of	of	ADP
ap-5918	21	9	the	the	DET
ap-5918	21	10	ncg	ncg	PROPN
ap-5918	21	11	,	,	PUNCT
ap-5918	21	12	is	be	AUX
ap-5918	21	13	to	to	PART
ap-5918	21	14	obtain	obtain	VERB
ap-5918	21	15	a	a	DET
ap-5918	21	16	coherent	coherent	ADJ
ap-5918	21	17	mathematical	mathematical	ADJ
ap-5918	21	18	framework	framework	NOUN
ap-5918	21	19	in	in	ADP
ap-5918	21	20	which	which	PRON
ap-5918	21	21	it	it	PRON
ap-5918	21	22	would	would	AUX
ap-5918	21	23	be	be	AUX
ap-5918	21	24	possible	possible	ADJ
ap-5918	21	25	to	to	PART
ap-5918	21	26	describe	describe	VERB
ap-5918	21	27	quantum	quantum	ADJ
ap-5918	21	28	gravitation	gravitation	NOUN
ap-5918	21	29	.	.	PUNCT
ap-5918	22	1	for	for	ADP
ap-5918	22	2	all	all	DET
ap-5918	22	3	these	these	DET
ap-5918	22	4	reasons	reason	NOUN
ap-5918	22	5	and	and	CCONJ
ap-5918	22	6	advantages	advantage	NOUN
ap-5918	22	7	,	,	PUNCT
ap-5918	22	8	we	we	PRON
ap-5918	22	9	carry	carry	VERB
ap-5918	22	10	out	out	ADP
ap-5918	22	11	this	this	DET
ap-5918	22	12	work	work	NOUN
ap-5918	22	13	in	in	ADP
ap-5918	22	14	the	the	DET
ap-5918	22	15	nc	nc	PROPN
ap-5918	22	16	formalism	formalism	NOUN
ap-5918	22	17	.	.	PUNCT
ap-5918	23	1	in	in	ADP
ap-5918	23	2	addition	addition	NOUN
ap-5918	23	3	,	,	PUNCT
ap-5918	23	4	it	it	PRON
ap-5918	23	5	is	be	AUX
ap-5918	23	6	interesting	interesting	ADJ
ap-5918	23	7	to	to	PART
ap-5918	23	8	find	find	VERB
ap-5918	23	9	other	other	ADJ
ap-5918	23	10	models	model	NOUN
ap-5918	23	11	in	in	ADP
ap-5918	23	12	which	which	PRON
ap-5918	23	13	noncommutativity	noncommutativity	NOUN
ap-5918	23	14	emerges	emerge	VERB
ap-5918	23	15	.	.	PUNCT
ap-5918	24	1	several	several	ADJ
ap-5918	24	2	scientific	scientific	ADJ
ap-5918	24	3	works	work	NOUN
ap-5918	24	4	have	have	AUX
ap-5918	24	5	focused	focus	VERB
ap-5918	24	6	on	on	ADP
ap-5918	24	7	the	the	DET
ap-5918	24	8	time	time	NOUN
ap-5918	24	9	-	-	PUNCT
ap-5918	24	10	independent	independent	ADJ
ap-5918	24	11	noncommutativity	noncommutativity	NOUN
ap-5918	24	12	.	.	PUNCT
ap-5918	25	1	experimental	experimental	ADJ
ap-5918	25	2	research	research	NOUN
ap-5918	25	3	has	have	AUX
ap-5918	25	4	considered	consider	VERB
ap-5918	25	5	the	the	DET
ap-5918	25	6	parameters	parameter	NOUN
ap-5918	25	7	of	of	ADP
ap-5918	25	8	the	the	DET
ap-5918	25	9	noncommutativity	noncommutativity	NOUN
ap-5918	25	10	of	of	ADP
ap-5918	25	11	fixed	fix	VERB
ap-5918	25	12	values	value	NOUN
ap-5918	25	13	in	in	ADP
ap-5918	25	14	the	the	DET
ap-5918	25	15	context	context	NOUN
ap-5918	25	16	of	of	ADP
ap-5918	25	17	cosmic	cosmic	ADJ
ap-5918	25	18	microwave	microwave	NOUN
ap-5918	25	19	background	background	NOUN
ap-5918	25	20	radiation	radiation	NOUN
ap-5918	25	21	,	,	PUNCT
ap-5918	25	22	perhaps	perhaps	ADV
ap-5918	25	23	considered	consider	VERB
ap-5918	25	24	approximately	approximately	ADV
ap-5918	25	25	fixed	fix	VERB
ap-5918	25	26	to	to	ADP
ap-5918	25	27	the	the	DET
ap-5918	25	28	celestial	celestial	ADJ
ap-5918	25	29	sphere	sphere	NOUN
ap-5918	25	30	,	,	PUNCT
ap-5918	25	31	for	for	ADP
ap-5918	25	32	example	example	NOUN
ap-5918	25	33	,	,	PUNCT
ap-5918	25	34	as	as	SCONJ
ap-5918	25	35	proposed	propose	VERB
ap-5918	25	36	in	in	ADP
ap-5918	25	37	ref	ref	NOUN
ap-5918	25	38	[	[	X
ap-5918	25	39	18	18	NUM
ap-5918	25	40	]	]	PUNCT
ap-5918	25	41	.	.	PUNCT
ap-5918	26	1	however	however	ADV
ap-5918	26	2	,	,	PUNCT
ap-5918	26	3	differently	differently	ADV
ap-5918	26	4	,	,	PUNCT
ap-5918	26	5	in	in	ADP
ap-5918	26	6	our	our	PRON
ap-5918	26	7	work	work	NOUN
ap-5918	26	8	,	,	PUNCT
ap-5918	26	9	our	our	PRON
ap-5918	26	10	obvious	obvious	ADJ
ap-5918	26	11	intention	intention	NOUN
ap-5918	26	12	is	be	AUX
ap-5918	26	13	to	to	PART
ap-5918	26	14	involve	involve	VERB
ap-5918	26	15	the	the	DET
ap-5918	26	16	time	time	NOUN
ap-5918	26	17	-	-	PUNCT
ap-5918	26	18	dependency	dependency	NOUN
ap-5918	26	19	in	in	ADP
ap-5918	26	20	the	the	DET
ap-5918	26	21	nc	nc	PROPN
ap-5918	26	22	parameters	parameter	NOUN
ap-5918	26	23	because	because	SCONJ
ap-5918	26	24	of	of	ADP
ap-5918	26	25	the	the	DET
ap-5918	26	26	possibility	possibility	NOUN
ap-5918	26	27	that	that	SCONJ
ap-5918	26	28	nc	nc	PROPN
ap-5918	26	29	parameters	parameter	NOUN
ap-5918	26	30	may	may	AUX
ap-5918	26	31	show	show	VERB
ap-5918	26	32	time	time	NOUN
ap-5918	26	33	-	-	PUNCT
ap-5918	26	34	dependency	dependency	NOUN
ap-5918	26	35	.	.	PUNCT
ap-5918	27	1	for	for	ADP
ap-5918	27	2	instance	instance	NOUN
ap-5918	27	3	,	,	PUNCT
ap-5918	27	4	physical	physical	ADJ
ap-5918	27	5	measurements	measurement	NOUN
ap-5918	27	6	must	must	AUX
ap-5918	27	7	take	take	VERB
ap-5918	27	8	into	into	ADP
ap-5918	27	9	account	account	NOUN
ap-5918	27	10	the	the	DET
ap-5918	27	11	effect	effect	NOUN
ap-5918	27	12	of	of	ADP
ap-5918	27	13	the	the	DET
ap-5918	27	14	earth	earth	NOUN
ap-5918	27	15	’s	’s	PART
ap-5918	27	16	rotation	rotation	NOUN
ap-5918	27	17	around	around	ADP
ap-5918	27	18	its	its	PRON
ap-5918	27	19	axis	axis	NOUN
ap-5918	27	20	,	,	PUNCT
ap-5918	27	21	which	which	PRON
ap-5918	27	22	causes	cause	VERB
ap-5918	27	23	a	a	DET
ap-5918	27	24	time	time	NOUN
ap-5918	27	25	-	-	PUNCT
ap-5918	27	26	dependency	dependency	NOUN
ap-5918	27	27	in	in	ADP
ap-5918	27	28	the	the	DET
ap-5918	27	29	nc	nc	PROPN
ap-5918	27	30	parameters	parameter	NOUN
ap-5918	27	31	.	.	PUNCT
ap-5918	28	1	however	however	ADV
ap-5918	28	2	,	,	PUNCT
ap-5918	28	3	the	the	DET
ap-5918	28	4	motivations	motivation	NOUN
ap-5918	28	5	for	for	ADP
ap-5918	28	6	choosing	choose	VERB
ap-5918	28	7	to	to	PART
ap-5918	28	8	study	study	VERB
ap-5918	28	9	the	the	DET
ap-5918	28	10	(	(	PUNCT
ap-5918	28	11	2	2	NUM
ap-5918	28	12	+	+	NOUN
ap-5918	28	13	1	1	NUM
ap-5918	28	14	)	)	PUNCT
ap-5918	28	15	dimensional	dimensional	ADJ
ap-5918	28	16	dirac	dirac	NOUN
ap-5918	28	17	equation	equation	NOUN
ap-5918	28	18	are	be	AUX
ap-5918	28	19	due	due	ADJ
ap-5918	28	20	to	to	ADP
ap-5918	28	21	several	several	ADJ
ap-5918	28	22	important	important	ADJ
ap-5918	28	23	works	work	NOUN
ap-5918	28	24	in	in	ADP
ap-5918	28	25	this	this	DET
ap-5918	28	26	context	context	NOUN
ap-5918	28	27	,	,	PUNCT
ap-5918	28	28	such	such	ADJ
ap-5918	28	29	as	as	ADP
ap-5918	28	30	the	the	DET
ap-5918	28	31	investigations	investigation	NOUN
ap-5918	28	32	of	of	ADP
ap-5918	28	33	landau	landau	NOUN
ap-5918	28	34	levels	level	NOUN
ap-5918	28	35	[	[	X
ap-5918	28	36	19	19	NUM
ap-5918	28	37	]	]	PUNCT
ap-5918	28	38	,	,	PUNCT
ap-5918	28	39	the	the	DET
ap-5918	28	40	oscillation	oscillation	NOUN
ap-5918	28	41	of	of	ADP
ap-5918	28	42	magnetization	magnetization	NOUN
ap-5918	28	43	111	111	NUM
ap-5918	28	44	https://doi.org/10.14311/ap.2020.60.0111	https://doi.org/10.14311/ap.2020.60.0111	NOUN
ap-5918	28	45	https://ojs.cvut.cz/ojs/index.php/ap	https://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-5918	28	46	ilyas	ilyas	NOUN
ap-5918	28	47	haouam	haouam	VERB
ap-5918	28	48	acta	acta	PROPN
ap-5918	28	49	polytechnica	polytechnica	PROPN
ap-5918	29	1	[	[	X
ap-5918	29	2	20	20	NUM
ap-5918	29	3	]	]	PUNCT
ap-5918	29	4	,	,	PUNCT
ap-5918	29	5	weiss	weiss	VERB
ap-5918	29	6	oscillation	oscillation	NOUN
ap-5918	30	1	[	[	X
ap-5918	30	2	21	21	NUM
ap-5918	30	3	]	]	PUNCT
ap-5918	30	4	,	,	PUNCT
ap-5918	30	5	de	de	PROPN
ap-5918	30	6	haas	haas	PROPN
ap-5918	30	7	-	-	PUNCT
ap-5918	30	8	van	van	PROPN
ap-5918	30	9	alphen	alphen	PROPN
ap-5918	30	10	effect	effect	NOUN
ap-5918	31	1	[	[	X
ap-5918	31	2	22	22	NUM
ap-5918	31	3	]	]	PUNCT
ap-5918	31	4	,	,	PUNCT
ap-5918	31	5	analysis	analysis	NOUN
ap-5918	31	6	through	through	ADP
ap-5918	31	7	coherent	coherent	ADJ
ap-5918	31	8	states	state	NOUN
ap-5918	31	9	[	[	X
ap-5918	31	10	23	23	NUM
ap-5918	31	11	]	]	PUNCT
ap-5918	31	12	,	,	PUNCT
ap-5918	31	13	the	the	DET
ap-5918	31	14	movement	movement	NOUN
ap-5918	31	15	of	of	ADP
ap-5918	31	16	electrons	electron	NOUN
ap-5918	31	17	transporters	transporter	NOUN
ap-5918	31	18	in	in	ADP
ap-5918	31	19	graphene	graphene	NOUN
ap-5918	31	20	and	and	CCONJ
ap-5918	31	21	other	other	ADJ
ap-5918	31	22	materials	material	NOUN
ap-5918	31	23	[	[	X
ap-5918	31	24	24	24	NUM
ap-5918	31	25	]	]	PUNCT
ap-5918	31	26	,	,	PUNCT
ap-5918	31	27	etc	etc	X
ap-5918	31	28	.	.	X
ap-5918	32	1	particularly	particularly	ADV
ap-5918	32	2	,	,	PUNCT
ap-5918	32	3	the	the	DET
ap-5918	32	4	2	2	NUM
ap-5918	32	5	dimensional	dimensional	ADJ
ap-5918	32	6	dirac	dirac	NOUN
ap-5918	32	7	equation	equation	NOUN
ap-5918	32	8	in	in	ADP
ap-5918	32	9	interaction	interaction	NOUN
ap-5918	32	10	with	with	ADP
ap-5918	32	11	a	a	DET
ap-5918	32	12	homogeneous	homogeneous	ADJ
ap-5918	32	13	magnetic	magnetic	ADJ
ap-5918	32	14	field	field	NOUN
ap-5918	32	15	has	have	VERB
ap-5918	32	16	various	various	ADJ
ap-5918	32	17	applications	application	NOUN
ap-5918	32	18	in	in	ADP
ap-5918	32	19	graphene	graphene	NOUN
ap-5918	32	20	,	,	PUNCT
ap-5918	32	21	such	such	ADJ
ap-5918	32	22	as	as	ADP
ap-5918	32	23	in	in	ADP
ap-5918	32	24	refs	ref	NOUN
ap-5918	32	25	[	[	X
ap-5918	32	26	25	25	NUM
ap-5918	32	27	,	,	PUNCT
ap-5918	32	28	26	26	NUM
ap-5918	32	29	]	]	PUNCT
ap-5918	32	30	,	,	PUNCT
ap-5918	32	31	and	and	CCONJ
ap-5918	32	32	in	in	ADP
ap-5918	32	33	studying	study	VERB
ap-5918	32	34	quantum	quantum	NOUN
ap-5918	32	35	hall	hall	NOUN
ap-5918	32	36	effect	effect	NOUN
ap-5918	32	37	and	and	CCONJ
ap-5918	32	38	fractional	fractional	ADJ
ap-5918	32	39	hall	hall	NOUN
ap-5918	32	40	effects	effect	NOUN
ap-5918	32	41	[	[	X
ap-5918	32	42	27	27	NUM
ap-5918	32	43	,	,	PUNCT
ap-5918	32	44	28	28	NUM
ap-5918	32	45	]	]	PUNCT
ap-5918	32	46	,	,	PUNCT
ap-5918	32	47	berry	berry	NOUN
ap-5918	32	48	phase	phase	NOUN
ap-5918	32	49	[	[	X
ap-5918	32	50	29	29	NUM
ap-5918	32	51	]	]	PUNCT
ap-5918	32	52	,	,	PUNCT
ap-5918	32	53	etc	etc	X
ap-5918	32	54	.	.	X
ap-5918	32	55	in	in	ADP
ap-5918	32	56	graphene	graphene	NOUN
ap-5918	32	57	and	and	CCONJ
ap-5918	32	58	other	other	ADJ
ap-5918	32	59	materials	material	NOUN
ap-5918	32	60	such	such	ADJ
ap-5918	32	61	as	as	ADP
ap-5918	32	62	in	in	ADP
ap-5918	32	63	weyl	weyl	VERB
ap-5918	32	64	semimetals	semimetal	NOUN
ap-5918	32	65	,	,	PUNCT
ap-5918	32	66	an	an	DET
ap-5918	32	67	important	important	ADJ
ap-5918	32	68	phenomenon	phenomenon	NOUN
ap-5918	32	69	takes	take	VERB
ap-5918	32	70	place	place	NOUN
ap-5918	32	71	if	if	SCONJ
ap-5918	32	72	the	the	DET
ap-5918	32	73	magnetic	magnetic	ADJ
ap-5918	32	74	field	field	NOUN
ap-5918	32	75	and	and	CCONJ
ap-5918	32	76	the	the	DET
ap-5918	32	77	uniform	uniform	ADJ
ap-5918	32	78	electric	electric	ADJ
ap-5918	32	79	field	field	NOUN
ap-5918	32	80	are	be	AUX
ap-5918	32	81	introduced	introduce	VERB
ap-5918	32	82	.	.	PUNCT
ap-5918	33	1	specifically	specifically	ADV
ap-5918	33	2	,	,	PUNCT
ap-5918	33	3	the	the	DET
ap-5918	33	4	spacing	spacing	NOUN
ap-5918	33	5	between	between	ADP
ap-5918	33	6	different	different	ADJ
ap-5918	33	7	landau	landau	NOUN
ap-5918	33	8	levels	level	NOUN
ap-5918	33	9	decreases	decrease	VERB
ap-5918	33	10	if	if	SCONJ
ap-5918	33	11	the	the	DET
ap-5918	33	12	electric	electric	ADJ
ap-5918	33	13	field	field	NOUN
ap-5918	33	14	strength	strength	NOUN
ap-5918	33	15	reaches	reach	VERB
ap-5918	33	16	a	a	DET
ap-5918	33	17	critical	critical	ADJ
ap-5918	33	18	value	value	NOUN
ap-5918	33	19	[	[	X
ap-5918	33	20	30	30	NUM
ap-5918	33	21	,	,	PUNCT
ap-5918	33	22	31	31	NUM
ap-5918	33	23	]	]	PUNCT
ap-5918	33	24	.	.	PUNCT
ap-5918	34	1	in	in	ADP
ap-5918	34	2	our	our	PRON
ap-5918	34	3	study	study	NOUN
ap-5918	34	4	about	about	ADP
ap-5918	34	5	a	a	DET
ap-5918	34	6	(	(	PUNCT
ap-5918	34	7	2	2	NUM
ap-5918	34	8	+	+	NOUN
ap-5918	34	9	1	1	NUM
ap-5918	34	10	)	)	PUNCT
ap-5918	34	11	dimensional	dimensional	ADJ
ap-5918	34	12	dirac	dirac	NOUN
ap-5918	34	13	system	system	NOUN
ap-5918	34	14	,	,	PUNCT
ap-5918	34	15	the	the	DET
ap-5918	34	16	noncommutativity	noncommutativity	NOUN
ap-5918	34	17	will	will	AUX
ap-5918	34	18	be	be	AUX
ap-5918	34	19	considered	consider	VERB
ap-5918	34	20	timedependent	timedependent	NOUN
ap-5918	34	21	through	through	ADP
ap-5918	34	22	a	a	DET
ap-5918	34	23	time	time	NOUN
ap-5918	34	24	-	-	PUNCT
ap-5918	34	25	dependent	dependent	ADJ
ap-5918	34	26	darboux	darboux	VERB
ap-5918	34	27	transformation	transformation	NOUN
ap-5918	34	28	“	"	PUNCT
ap-5918	34	29	bopp	bopp	PROPN
ap-5918	34	30	’s	’s	PART
ap-5918	34	31	shift	shift	NOUN
ap-5918	34	32	”	"	PUNCT
ap-5918	34	33	.	.	PUNCT
ap-5918	35	1	this	this	PRON
ap-5918	35	2	,	,	PUNCT
ap-5918	35	3	in	in	ADP
ap-5918	35	4	turn	turn	NOUN
ap-5918	35	5	,	,	PUNCT
ap-5918	35	6	makes	make	VERB
ap-5918	35	7	the	the	DET
ap-5918	35	8	studied	studied	ADJ
ap-5918	35	9	system	system	NOUN
ap-5918	35	10	a	a	DET
ap-5918	35	11	time	time	NOUN
ap-5918	35	12	-	-	PUNCT
ap-5918	35	13	dependent	dependent	ADJ
ap-5918	35	14	one	one	NUM
ap-5918	35	15	,	,	PUNCT
ap-5918	35	16	h(xnci	h(xnci	PROPN
ap-5918	35	17	,	,	PUNCT
ap-5918	35	18	pnci	pnci	PROPN
ap-5918	35	19	)	)	PUNCT
ap-5918	35	20	−→	−→	ADP
ap-5918	35	21	h(t	h(t	PROPN
ap-5918	35	22	)	)	PUNCT
ap-5918	35	23	.	.	PUNCT
ap-5918	36	1	solving	solve	VERB
ap-5918	36	2	the	the	DET
ap-5918	36	3	system	system	NOUN
ap-5918	36	4	of	of	ADP
ap-5918	36	5	equations	equation	NOUN
ap-5918	36	6	in	in	ADP
ap-5918	36	7	interaction	interaction	NOUN
ap-5918	36	8	with	with	ADP
ap-5918	36	9	time	time	NOUN
ap-5918	36	10	-	-	PUNCT
ap-5918	36	11	dependent	dependent	ADJ
ap-5918	36	12	potentials	potential	NOUN
ap-5918	36	13	has	have	AUX
ap-5918	36	14	attracted	attract	VERB
ap-5918	36	15	many	many	ADJ
ap-5918	36	16	physicists	physicist	NOUN
ap-5918	36	17	over	over	ADP
ap-5918	36	18	the	the	DET
ap-5918	36	19	past	past	ADJ
ap-5918	36	20	years	year	NOUN
ap-5918	36	21	.	.	PUNCT
ap-5918	37	1	in	in	ADP
ap-5918	37	2	addition	addition	NOUN
ap-5918	37	3	to	to	ADP
ap-5918	37	4	the	the	DET
ap-5918	37	5	essential	essential	ADJ
ap-5918	37	6	mathematical	mathematical	ADJ
ap-5918	37	7	benefit	benefit	NOUN
ap-5918	37	8	,	,	PUNCT
ap-5918	37	9	this	this	DET
ap-5918	37	10	topic	topic	NOUN
ap-5918	37	11	is	be	AUX
ap-5918	37	12	related	relate	VERB
ap-5918	37	13	to	to	ADP
ap-5918	37	14	a	a	DET
ap-5918	37	15	lot	lot	NOUN
ap-5918	37	16	of	of	ADP
ap-5918	37	17	physical	physical	ADJ
ap-5918	37	18	problems	problem	NOUN
ap-5918	37	19	and	and	CCONJ
ap-5918	37	20	applications	application	NOUN
ap-5918	37	21	for	for	ADP
ap-5918	37	22	its	its	PRON
ap-5918	37	23	applicability	applicability	NOUN
ap-5918	37	24	.	.	PUNCT
ap-5918	38	1	for	for	ADP
ap-5918	38	2	instance	instance	NOUN
ap-5918	38	3	,	,	PUNCT
ap-5918	38	4	in	in	ADP
ap-5918	38	5	quantum	quantum	ADJ
ap-5918	38	6	transport	transport	NOUN
ap-5918	38	7	[	[	X
ap-5918	38	8	32–34	32–34	NOUN
ap-5918	38	9	]	]	PUNCT
ap-5918	38	10	,	,	PUNCT
ap-5918	38	11	quantum	quantum	NOUN
ap-5918	38	12	optics	optic	NOUN
ap-5918	38	13	[	[	X
ap-5918	38	14	35–37	35–37	NOUN
ap-5918	38	15	]	]	X
ap-5918	38	16	,	,	PUNCT
ap-5918	38	17	quantum	quantum	ADJ
ap-5918	38	18	information	information	NOUN
ap-5918	39	1	[	[	X
ap-5918	39	2	38	38	NUM
ap-5918	39	3	]	]	PUNCT
ap-5918	39	4	,	,	PUNCT
ap-5918	39	5	the	the	DET
ap-5918	39	6	degenerate	degenerate	ADJ
ap-5918	39	7	parametric	parametric	ADJ
ap-5918	39	8	amplifier	amplifier	NOUN
ap-5918	40	1	[	[	X
ap-5918	40	2	39	39	NUM
ap-5918	40	3	]	]	PUNCT
ap-5918	40	4	,	,	PUNCT
ap-5918	40	5	also	also	ADV
ap-5918	40	6	spintronics	spintronic	NOUN
ap-5918	41	1	[	[	X
ap-5918	41	2	40	40	NUM
ap-5918	41	3	,	,	PUNCT
ap-5918	41	4	41	41	NUM
ap-5918	41	5	]	]	PUNCT
ap-5918	41	6	,	,	PUNCT
ap-5918	41	7	and	and	CCONJ
ap-5918	41	8	in	in	ADP
ap-5918	41	9	the	the	DET
ap-5918	41	10	description	description	NOUN
ap-5918	41	11	of	of	ADP
ap-5918	41	12	the	the	DET
ap-5918	41	13	two	two	NUM
ap-5918	41	14	trapped	trap	VERB
ap-5918	41	15	cold	cold	ADJ
ap-5918	41	16	ions	ion	NOUN
ap-5918	41	17	dynamics	dynamic	NOUN
ap-5918	41	18	in	in	ADP
ap-5918	41	19	the	the	DET
ap-5918	41	20	paul	paul	PROPN
ap-5918	41	21	trap	trap	NOUN
ap-5918	42	1	[	[	X
ap-5918	42	2	42	42	NUM
ap-5918	42	3	]	]	PUNCT
ap-5918	42	4	.	.	PUNCT
ap-5918	43	1	to	to	PART
ap-5918	43	2	study	study	VERB
ap-5918	43	3	systems	system	NOUN
ap-5918	43	4	of	of	ADP
ap-5918	43	5	time	time	NOUN
ap-5918	43	6	-	-	PUNCT
ap-5918	43	7	dependent	dependent	ADJ
ap-5918	43	8	equations	equation	NOUN
ap-5918	43	9	,	,	PUNCT
ap-5918	43	10	there	there	PRON
ap-5918	43	11	are	be	VERB
ap-5918	43	12	many	many	ADJ
ap-5918	43	13	methods	method	NOUN
ap-5918	43	14	like	like	ADP
ap-5918	43	15	the	the	DET
ap-5918	43	16	evolution	evolution	NOUN
ap-5918	43	17	operator	operator	NOUN
ap-5918	43	18	,	,	PUNCT
ap-5918	43	19	the	the	DET
ap-5918	43	20	change	change	NOUN
ap-5918	43	21	of	of	ADP
ap-5918	43	22	representation	representation	NOUN
ap-5918	43	23	,	,	PUNCT
ap-5918	43	24	the	the	DET
ap-5918	43	25	unitary	unitary	ADJ
ap-5918	43	26	transformations	transformation	NOUN
ap-5918	43	27	,	,	PUNCT
ap-5918	43	28	path	path	NOUN
ap-5918	43	29	integral	integral	ADJ
ap-5918	43	30	,	,	PUNCT
ap-5918	43	31	second	second	ADJ
ap-5918	43	32	quantization	quantization	NOUN
ap-5918	43	33	,	,	PUNCT
ap-5918	43	34	lewis	lewis	NOUN
ap-5918	43	35	-	-	PUNCT
ap-5918	43	36	riesenfeld	riesenfeld	PROPN
ap-5918	43	37	(	(	PUNCT
ap-5918	43	38	lr	lr	NOUN
ap-5918	43	39	)	)	PUNCT
ap-5918	43	40	invariant	invariant	ADJ
ap-5918	43	41	approach	approach	NOUN
ap-5918	43	42	.	.	PUNCT
ap-5918	44	1	also	also	ADV
ap-5918	44	2	,	,	PUNCT
ap-5918	44	3	there	there	PRON
ap-5918	44	4	are	be	VERB
ap-5918	44	5	other	other	ADJ
ap-5918	44	6	used	use	VERB
ap-5918	44	7	techniques	technique	NOUN
ap-5918	44	8	,	,	PUNCT
ap-5918	44	9	as	as	ADP
ap-5918	44	10	in	in	ADP
ap-5918	44	11	refs	ref	NOUN
ap-5918	44	12	[	[	X
ap-5918	44	13	43	43	NUM
ap-5918	44	14	,	,	PUNCT
ap-5918	44	15	44	44	NUM
ap-5918	44	16	]	]	PUNCT
ap-5918	44	17	.	.	PUNCT
ap-5918	45	1	the	the	DET
ap-5918	45	2	lr	lr	PROPN
ap-5918	45	3	method	method	NOUN
ap-5918	45	4	[	[	X
ap-5918	45	5	45	45	NUM
ap-5918	45	6	,	,	PUNCT
ap-5918	45	7	46	46	NUM
ap-5918	45	8	]	]	PUNCT
ap-5918	45	9	is	be	AUX
ap-5918	45	10	a	a	DET
ap-5918	45	11	technique	technique	NOUN
ap-5918	45	12	that	that	PRON
ap-5918	45	13	allows	allow	VERB
ap-5918	45	14	obtaining	obtain	VERB
ap-5918	45	15	a	a	DET
ap-5918	45	16	set	set	NOUN
ap-5918	45	17	of	of	ADP
ap-5918	45	18	solutions	solution	NOUN
ap-5918	45	19	of	of	ADP
ap-5918	45	20	time	time	NOUN
ap-5918	45	21	-	-	PUNCT
ap-5918	45	22	dependent	dependent	ADJ
ap-5918	45	23	equation	equation	NOUN
ap-5918	45	24	systems	system	NOUN
ap-5918	45	25	,	,	PUNCT
ap-5918	45	26	through	through	ADP
ap-5918	45	27	the	the	DET
ap-5918	45	28	eigenstates	eigenstate	NOUN
ap-5918	45	29	of	of	ADP
ap-5918	45	30	lr	lr	NOUN
ap-5918	45	31	invariants	invariant	NOUN
ap-5918	45	32	.	.	PUNCT
ap-5918	46	1	these	these	DET
ap-5918	46	2	invariants	invariant	NOUN
ap-5918	46	3	are	be	AUX
ap-5918	46	4	built	build	VERB
ap-5918	46	5	to	to	PART
ap-5918	46	6	find	find	VERB
ap-5918	46	7	the	the	DET
ap-5918	46	8	solutions	solution	NOUN
ap-5918	46	9	of	of	ADP
ap-5918	46	10	such	such	ADJ
ap-5918	46	11	systems	system	NOUN
ap-5918	46	12	of	of	ADP
ap-5918	46	13	equations	equation	NOUN
ap-5918	46	14	,	,	PUNCT
ap-5918	46	15	where	where	SCONJ
ap-5918	46	16	lewis	lewis	PROPN
ap-5918	46	17	and	and	CCONJ
ap-5918	46	18	riesenfeld	riesenfeld	VERB
ap-5918	46	19	in	in	ADP
ap-5918	46	20	their	their	PRON
ap-5918	46	21	original	original	ADJ
ap-5918	46	22	paper	paper	NOUN
ap-5918	46	23	presented	present	VERB
ap-5918	46	24	a	a	DET
ap-5918	46	25	technique	technique	NOUN
ap-5918	46	26	to	to	ADP
ap-5918	46	27	obtaining	obtain	VERB
ap-5918	46	28	a	a	DET
ap-5918	46	29	group	group	NOUN
ap-5918	46	30	of	of	ADP
ap-5918	46	31	exact	exact	ADJ
ap-5918	46	32	wave	wave	NOUN
ap-5918	46	33	-	-	PUNCT
ap-5918	46	34	functions	function	NOUN
ap-5918	46	35	for	for	ADP
ap-5918	46	36	the	the	DET
ap-5918	46	37	time	time	NOUN
ap-5918	46	38	-	-	PUNCT
ap-5918	46	39	dependent	dependent	ADJ
ap-5918	46	40	harmonic	harmonic	ADJ
ap-5918	46	41	oscillator	oscillator	NOUN
ap-5918	46	42	in	in	ADP
ap-5918	46	43	hilbert	hilbert	NOUN
ap-5918	46	44	space	space	NOUN
ap-5918	46	45	.	.	PUNCT
ap-5918	47	1	the	the	DET
ap-5918	47	2	lr	lr	PROPN
ap-5918	47	3	approach	approach	NOUN
ap-5918	47	4	has	have	AUX
ap-5918	47	5	been	be	AUX
ap-5918	47	6	applied	apply	VERB
ap-5918	47	7	in	in	ADP
ap-5918	47	8	many	many	ADJ
ap-5918	47	9	applications	application	NOUN
ap-5918	47	10	such	such	ADJ
ap-5918	47	11	as	as	ADP
ap-5918	47	12	in	in	ADP
ap-5918	47	13	mesoscopic	mesoscopic	PROPN
ap-5918	47	14	r(t)l(t)c(t	r(t)l(t)c(t	PROPN
ap-5918	47	15	)	)	PUNCT
ap-5918	47	16	electric	electric	ADJ
ap-5918	47	17	circuits	circuit	NOUN
ap-5918	47	18	where	where	SCONJ
ap-5918	47	19	the	the	DET
ap-5918	47	20	quantum	quantum	ADJ
ap-5918	47	21	evolution	evolution	NOUN
ap-5918	47	22	is	be	AUX
ap-5918	47	23	described[47	described[47	VERB
ap-5918	47	24	]	]	PUNCT
ap-5918	47	25	.	.	PUNCT
ap-5918	48	1	as	as	ADV
ap-5918	48	2	well	well	ADV
ap-5918	48	3	as	as	ADP
ap-5918	48	4	in	in	ADP
ap-5918	48	5	engineering	engineering	NOUN
ap-5918	48	6	,	,	PUNCT
ap-5918	48	7	in	in	ADP
ap-5918	48	8	shortcuts	shortcut	NOUN
ap-5918	48	9	and	and	CCONJ
ap-5918	48	10	adiabaticity	adiabaticity	NOUN
ap-5918	49	1	[	[	X
ap-5918	49	2	48	48	NUM
ap-5918	49	3	]	]	SYM
ap-5918	49	4	...	...	PUNCT
ap-5918	50	1	a	a	DET
ap-5918	50	2	large	large	ADJ
ap-5918	50	3	variety	variety	NOUN
ap-5918	50	4	of	of	ADP
ap-5918	50	5	scientific	scientific	ADJ
ap-5918	50	6	papers	paper	NOUN
ap-5918	50	7	concerning	concern	VERB
ap-5918	50	8	time	time	NOUN
ap-5918	50	9	-	-	PUNCT
ap-5918	50	10	dependent	dependent	ADJ
ap-5918	50	11	systems	system	NOUN
ap-5918	50	12	were	be	AUX
ap-5918	50	13	interested	interested	ADJ
ap-5918	50	14	in	in	ADP
ap-5918	50	15	the	the	DET
ap-5918	50	16	time	time	NOUN
ap-5918	50	17	-	-	PUNCT
ap-5918	50	18	dependent	dependent	ADJ
ap-5918	50	19	harmonic	harmonic	ADJ
ap-5918	50	20	oscillator	oscillator	NOUN
ap-5918	50	21	,	,	PUNCT
ap-5918	50	22	or	or	CCONJ
ap-5918	50	23	in	in	ADP
ap-5918	50	24	time	time	NOUN
ap-5918	50	25	-	-	PUNCT
ap-5918	50	26	dependent	dependent	ADJ
ap-5918	50	27	linear	linear	NOUN
ap-5918	50	28	potentials	potential	NOUN
ap-5918	50	29	,	,	PUNCT
ap-5918	50	30	but	but	CCONJ
ap-5918	50	31	in	in	ADP
ap-5918	50	32	our	our	PRON
ap-5918	50	33	current	current	ADJ
ap-5918	50	34	work	work	NOUN
ap-5918	50	35	,	,	PUNCT
ap-5918	50	36	to	to	PART
ap-5918	50	37	be	be	AUX
ap-5918	50	38	more	more	ADV
ap-5918	50	39	specific	specific	ADJ
ap-5918	50	40	,	,	PUNCT
ap-5918	50	41	we	we	PRON
ap-5918	50	42	report	report	VERB
ap-5918	50	43	the	the	DET
ap-5918	50	44	time	time	NOUN
ap-5918	50	45	-	-	PUNCT
ap-5918	50	46	dependent	dependent	ADJ
ap-5918	50	47	background	background	NOUN
ap-5918	50	48	of	of	ADP
ap-5918	50	49	the	the	DET
ap-5918	50	50	nc	nc	PROPN
ap-5918	50	51	phase	phase	NOUN
ap-5918	50	52	-	-	PUNCT
ap-5918	50	53	space	space	NOUN
ap-5918	50	54	.	.	PUNCT
ap-5918	51	1	we	we	PRON
ap-5918	51	2	consider	consider	VERB
ap-5918	51	3	a	a	DET
ap-5918	51	4	time	time	NOUN
ap-5918	51	5	-	-	PUNCT
ap-5918	51	6	dependent	dependent	ADJ
ap-5918	51	7	bopp	bopp	VERB
ap-5918	51	8	-	-	PUNCT
ap-5918	51	9	shift	shift	NOUN
ap-5918	51	10	translation	translation	NOUN
ap-5918	51	11	to	to	PART
ap-5918	51	12	transform	transform	VERB
ap-5918	51	13	the	the	DET
ap-5918	51	14	system	system	NOUN
ap-5918	51	15	to	to	ADP
ap-5918	51	16	a	a	DET
ap-5918	51	17	time	time	NOUN
ap-5918	51	18	-	-	PUNCT
ap-5918	51	19	dependent	dependent	ADJ
ap-5918	51	20	nc	nc	PROPN
ap-5918	51	21	one	one	NUM
ap-5918	51	22	,	,	PUNCT
ap-5918	51	23	then	then	ADV
ap-5918	51	24	,	,	PUNCT
ap-5918	51	25	due	due	ADP
ap-5918	51	26	to	to	ADP
ap-5918	51	27	the	the	DET
ap-5918	51	28	lr	lr	PROPN
ap-5918	51	29	invariant	invariant	ADJ
ap-5918	51	30	method	method	NOUN
ap-5918	51	31	,	,	PUNCT
ap-5918	51	32	we	we	PRON
ap-5918	51	33	obtain	obtain	VERB
ap-5918	51	34	the	the	DET
ap-5918	51	35	lr	lr	NOUN
ap-5918	51	36	invariant	invariant	NOUN
ap-5918	51	37	and	and	CCONJ
ap-5918	51	38	its	its	PRON
ap-5918	51	39	eigenstates	eigenstate	NOUN
ap-5918	51	40	to	to	PART
ap-5918	51	41	solve	solve	VERB
ap-5918	51	42	our	our	PRON
ap-5918	51	43	system	system	NOUN
ap-5918	51	44	equations	equation	NOUN
ap-5918	51	45	.	.	PUNCT
ap-5918	52	1	2	2	NUM
ap-5918	52	2	.	.	NOUN
ap-5918	52	3	time	time	NOUN
ap-5918	52	4	-	-	PUNCT
ap-5918	52	5	dependent	dependent	ADJ
ap-5918	52	6	noncommutativity	noncommutativity	NOUN
ap-5918	52	7	in	in	ADP
ap-5918	52	8	theory	theory	NOUN
ap-5918	52	9	,	,	PUNCT
ap-5918	52	10	the	the	DET
ap-5918	52	11	ncg	ncg	PROPN
ap-5918	52	12	space	space	NOUN
ap-5918	52	13	may	may	AUX
ap-5918	52	14	not	not	PART
ap-5918	52	15	commute	commute	VERB
ap-5918	52	16	anymore	anymore	ADV
ap-5918	52	17	(	(	PUNCT
ap-5918	52	18	i.e.	i.e.	X
ap-5918	52	19	ab6	ab6	PROPN
ap-5918	52	20	=	=	PROPN
ap-5918	52	21	ba	ba	NOUN
ap-5918	52	22	)	)	PUNCT
ap-5918	52	23	.	.	PUNCT
ap-5918	53	1	in	in	ADP
ap-5918	53	2	a	a	DET
ap-5918	53	3	d	d	ADP
ap-5918	53	4	dimensional	dimensional	ADJ
ap-5918	53	5	time	time	NOUN
ap-5918	53	6	-	-	PUNCT
ap-5918	53	7	dependent	dependent	ADJ
ap-5918	53	8	nc	nc	NOUN
ap-5918	53	9	phase	phase	NOUN
ap-5918	53	10	-	-	PUNCT
ap-5918	53	11	space	space	NOUN
ap-5918	53	12	,	,	PUNCT
ap-5918	53	13	let	let	VERB
ap-5918	53	14	us	we	PRON
ap-5918	53	15	consider	consider	VERB
ap-5918	53	16	the	the	DET
ap-5918	53	17	operators	operator	NOUN
ap-5918	53	18	of	of	ADP
ap-5918	53	19	coordinates	coordinate	NOUN
ap-5918	53	20	and	and	CCONJ
ap-5918	53	21	momentum	momentum	NOUN
ap-5918	53	22	xncj	xncj	NOUN
ap-5918	53	23	and	and	CCONJ
ap-5918	53	24	pnck	pnck	NOUN
ap-5918	53	25	,	,	PUNCT
ap-5918	53	26	respectively	respectively	ADV
ap-5918	53	27	.	.	PUNCT
ap-5918	54	1	these	these	DET
ap-5918	54	2	nc	nc	PROPN
ap-5918	54	3	operators	operators	PROPN
ap-5918	54	4	satisfy	satisfy	VERB
ap-5918	54	5	the	the	DET
ap-5918	54	6	deformed	deform	VERB
ap-5918	54	7	commutation	commutation	NOUN
ap-5918	54	8	relations	relation	NOUN
ap-5918	54	9	[	[	X
ap-5918	54	10	49	49	NUM
ap-5918	54	11	]	]	X
ap-5918	54	12	[	[	PUNCT
ap-5918	54	13	xncj	xncj	NOUN
ap-5918	54	14	,	,	PUNCT
ap-5918	54	15	x	x	PROPN
ap-5918	54	16	nc	nc	PROPN
ap-5918	54	17	k	k	X
ap-5918	54	18	]	]	PUNCT
ap-5918	55	1	=	=	SYM
ap-5918	55	2	iθjk(t	iθjk(t	X
ap-5918	55	3	)	)	PUNCT
ap-5918	55	4	[	[	PUNCT
ap-5918	55	5	pncj	pncj	NOUN
ap-5918	55	6	,	,	PUNCT
ap-5918	55	7	p	p	PROPN
ap-5918	55	8	nc	nc	PROPN
ap-5918	55	9	k	k	X
ap-5918	55	10	]	]	PUNCT
ap-5918	56	1	=	=	SYM
ap-5918	56	2	iηjk(t	iηjk(t	NOUN
ap-5918	56	3	)	)	PUNCT
ap-5918	56	4	,	,	PUNCT
ap-5918	56	5	(	(	PUNCT
ap-5918	56	6	j	j	NOUN
ap-5918	56	7	,	,	PUNCT
ap-5918	56	8	k	k	PROPN
ap-5918	56	9	=	=	SYM
ap-5918	56	10	1	1	NUM
ap-5918	56	11	,	,	PUNCT
ap-5918	56	12	..	..	PUNCT
ap-5918	56	13	,	,	PUNCT
ap-5918	56	14	d	d	X
ap-5918	56	15	)	)	PUNCT
ap-5918	56	16	[	[	PUNCT
ap-5918	56	17	xncj	xncj	NOUN
ap-5918	56	18	,	,	PUNCT
ap-5918	56	19	p	p	PROPN
ap-5918	56	20	nc	nc	PROPN
ap-5918	56	21	k	k	X
ap-5918	56	22	]	]	PUNCT
ap-5918	57	1	=	=	PUNCT
ap-5918	57	2	i	i	PRON
ap-5918	57	3	~	~	SYM
ap-5918	57	4	effδjk	effδjk	NOUN
ap-5918	57	5	,	,	PUNCT
ap-5918	57	6	(	(	PUNCT
ap-5918	57	7	1	1	X
ap-5918	57	8	)	)	PUNCT
ap-5918	57	9	the	the	DET
ap-5918	57	10	effective	effective	ADJ
ap-5918	57	11	planck	planck	NOUN
ap-5918	57	12	constant	constant	ADJ
ap-5918	57	13	being	be	AUX
ap-5918	57	14	~eff	~eff	NOUN
ap-5918	58	1	=	=	X
ap-5918	58	2	~	~	PUNCT
ap-5918	58	3	(	(	PUNCT
ap-5918	58	4	1	1	NUM
ap-5918	58	5	+	+	CCONJ
ap-5918	58	6	θη	θη	PROPN
ap-5918	58	7	4~2	4~2	NUM
ap-5918	58	8	)	)	PUNCT
ap-5918	58	9	,	,	PUNCT
ap-5918	58	10	(	(	PUNCT
ap-5918	58	11	2	2	X
ap-5918	58	12	)	)	PUNCT
ap-5918	58	13	where	where	SCONJ
ap-5918	58	14	θη	θη	PROPN
ap-5918	58	15	4~2	4~2	NUM
ap-5918	58	16	�	�	PROPN
ap-5918	58	17	1	1	NUM
ap-5918	58	18	is	be	AUX
ap-5918	58	19	the	the	DET
ap-5918	58	20	consistency	consistency	NOUN
ap-5918	58	21	condition	condition	NOUN
ap-5918	58	22	in	in	ADP
ap-5918	58	23	the	the	DET
ap-5918	58	24	usual	usual	ADJ
ap-5918	58	25	quantum	quantum	ADJ
ap-5918	58	26	mechanics	mechanic	NOUN
ap-5918	58	27	.	.	PUNCT
ap-5918	59	1	δjk	δjk	PROPN
ap-5918	59	2	is	be	AUX
ap-5918	59	3	the	the	DET
ap-5918	59	4	identity	identity	NOUN
ap-5918	59	5	matrix	matrix	NOUN
ap-5918	59	6	,	,	PUNCT
ap-5918	59	7	and	and	CCONJ
ap-5918	59	8	θjk	θjk	NOUN
ap-5918	59	9	,	,	PUNCT
ap-5918	59	10	ηjk	ηjk	NOUN
ap-5918	59	11	are	be	AUX
ap-5918	59	12	real	real	ADV
ap-5918	59	13	constant	constant	ADJ
ap-5918	59	14	antisymmetric	antisymmetric	ADJ
ap-5918	59	15	d×	d×	NOUN
ap-5918	59	16	d	d	NOUN
ap-5918	59	17	matrices	matrix	NOUN
ap-5918	59	18	.	.	PUNCT
ap-5918	60	1	in	in	ADP
ap-5918	60	2	some	some	DET
ap-5918	60	3	studies	study	NOUN
ap-5918	60	4	concerning	concern	VERB
ap-5918	60	5	the	the	DET
ap-5918	60	6	nc	nc	PROPN
ap-5918	60	7	parameters	parameter	NOUN
ap-5918	60	8	,	,	PUNCT
ap-5918	60	9	as	as	ADP
ap-5918	60	10	in	in	ADP
ap-5918	60	11	the	the	DET
ap-5918	60	12	experiment	experiment	NOUN
ap-5918	60	13	by	by	ADP
ap-5918	60	14	“	"	PUNCT
ap-5918	60	15	nesvizhevsky	nesvizhevsky	PROPN
ap-5918	60	16	et	et	PROPN
ap-5918	60	17	al	al	PROPN
ap-5918	60	18	”	"	PUNCT
ap-5918	60	19	[	[	X
ap-5918	60	20	50	50	NUM
ap-5918	60	21	,	,	PUNCT
ap-5918	60	22	51	51	NUM
ap-5918	60	23	]	]	PUNCT
ap-5918	60	24	,	,	PUNCT
ap-5918	60	25	we	we	PRON
ap-5918	60	26	note	note	VERB
ap-5918	60	27	that	that	SCONJ
ap-5918	60	28	θ	θ	PROPN
ap-5918	60	29	≈	≈	PROPN
ap-5918	60	30	10−30m2	10−30m2	NOUN
ap-5918	60	31	and	and	CCONJ
ap-5918	60	32	η	η	PROPN
ap-5918	60	33	≈	≈	PROPN
ap-5918	60	34	1	1	NUM
ap-5918	60	35	,	,	PUNCT
ap-5918	60	36	76.10−61kg2m2s−2	76.10−61kg2m2s−2	NUM
ap-5918	60	37	.	.	PUNCT
ap-5918	61	1	other	other	ADJ
ap-5918	61	2	bounds	bound	NOUN
ap-5918	61	3	exist	exist	VERB
ap-5918	61	4	.	.	PUNCT
ap-5918	62	1	for	for	ADP
ap-5918	62	2	example	example	NOUN
ap-5918	62	3	,	,	PUNCT
ap-5918	62	4	θ	θ	PROPN
ap-5918	62	5	≈	≈	PROPN
ap-5918	62	6	4.10−40m2	4.10−40m2	INTJ
ap-5918	62	7	when	when	SCONJ
ap-5918	62	8	assuming	assume	VERB
ap-5918	62	9	the	the	DET
ap-5918	62	10	natural	natural	ADJ
ap-5918	62	11	units	unit	NOUN
ap-5918	62	12	,	,	PUNCT
ap-5918	62	13	~	~	PUNCT
ap-5918	62	14	=	=	PUNCT
ap-5918	63	1	c	c	NOUN
ap-5918	63	2	=	=	SYM
ap-5918	63	3	1	1	NUM
ap-5918	63	4	[	[	X
ap-5918	63	5	52	52	NUM
ap-5918	63	6	]	]	PUNCT
ap-5918	63	7	.	.	PUNCT
ap-5918	64	1	as	as	ADV
ap-5918	64	2	well	well	ADV
ap-5918	64	3	as	as	ADP
ap-5918	64	4	when	when	SCONJ
ap-5918	64	5	taking	take	VERB
ap-5918	64	6	into	into	ADP
ap-5918	64	7	account	account	NOUN
ap-5918	64	8	that	that	SCONJ
ap-5918	64	9	the	the	DET
ap-5918	64	10	experimental	experimental	ADJ
ap-5918	64	11	energy	energy	NOUN
ap-5918	64	12	resolution	resolution	NOUN
ap-5918	64	13	is	be	AUX
ap-5918	64	14	related	relate	VERB
ap-5918	64	15	to	to	ADP
ap-5918	64	16	the	the	DET
ap-5918	64	17	uncertainty	uncertainty	NOUN
ap-5918	64	18	principle	principle	NOUN
ap-5918	64	19	because	because	SCONJ
ap-5918	64	20	of	of	ADP
ap-5918	64	21	the	the	DET
ap-5918	64	22	finite	finite	ADJ
ap-5918	64	23	lifetime	lifetime	NOUN
ap-5918	64	24	of	of	ADP
ap-5918	64	25	the	the	DET
ap-5918	64	26	neutron	neutron	NOUN
ap-5918	64	27	,	,	PUNCT
ap-5918	64	28	this	this	PRON
ap-5918	64	29	leads	lead	VERB
ap-5918	64	30	to	to	ADP
ap-5918	64	31	obtaining	obtain	VERB
ap-5918	64	32	η	η	PROPN
ap-5918	64	33	≈	≈	PROPN
ap-5918	64	34	10−67kg2m2s−2	10−67kg2m2s−2	NUM
ap-5918	64	35	(	(	PUNCT
ap-5918	64	36	a	a	DET
ap-5918	64	37	kind	kind	NOUN
ap-5918	64	38	of	of	ADP
ap-5918	64	39	correction	correction	NOUN
ap-5918	64	40	)	)	PUNCT
ap-5918	64	41	.	.	PUNCT
ap-5918	65	1	these	these	PRON
ap-5918	65	2	obtained	obtain	VERB
ap-5918	65	3	results	result	NOUN
ap-5918	65	4	including	include	VERB
ap-5918	65	5	the	the	DET
ap-5918	65	6	experiment	experiment	NOUN
ap-5918	65	7	by	by	ADP
ap-5918	65	8	“	"	PUNCT
ap-5918	65	9	nesvizhevsky	nesvizhevsky	PROPN
ap-5918	65	10	et	et	PROPN
ap-5918	65	11	al	al	PROPN
ap-5918	65	12	”	"	PUNCT
ap-5918	65	13	,	,	PUNCT
ap-5918	65	14	allow	allow	VERB
ap-5918	65	15	us	we	PRON
ap-5918	65	16	to	to	PART
ap-5918	65	17	evaluate	evaluate	VERB
ap-5918	65	18	the	the	DET
ap-5918	65	19	consistency	consistency	NOUN
ap-5918	65	20	condition	condition	NOUN
ap-5918	65	21	of	of	ADP
ap-5918	65	22	the	the	DET
ap-5918	65	23	nc	nc	PROPN
ap-5918	65	24	model	model	PROPN
ap-5918	65	25	∣∣∣	∣∣∣	PROPN
ap-5918	65	26	θη	θη	PROPN
ap-5918	65	27	4~2	4~2	NUM
ap-5918	65	28	∣∣∣	∣∣∣	PROPN
ap-5918	65	29	�	�	PROPN
ap-5918	65	30	10−24	10−24	PROPN
ap-5918	65	31	.	.	PUNCT
ap-5918	66	1	but	but	CCONJ
ap-5918	66	2	if	if	SCONJ
ap-5918	66	3	we	we	PRON
ap-5918	66	4	consider	consider	VERB
ap-5918	66	5	the	the	DET
ap-5918	66	6	modifications	modification	NOUN
ap-5918	66	7	introduced	introduce	VERB
ap-5918	66	8	by	by	ADP
ap-5918	66	9	noncommutativity	noncommutativity	NOUN
ap-5918	66	10	over	over	ADP
ap-5918	66	11	~	~	PUNCT
ap-5918	66	12	value	value	NOUN
ap-5918	66	13	(	(	PUNCT
ap-5918	66	14	the	the	DET
ap-5918	66	15	precision	precision	NOUN
ap-5918	66	16	is	be	AUX
ap-5918	66	17	about	about	ADV
ap-5918	66	18	10−9	10−9	NUM
ap-5918	66	19	)	)	PUNCT
ap-5918	66	20	,	,	PUNCT
ap-5918	66	21	which	which	PRON
ap-5918	66	22	are	be	AUX
ap-5918	66	23	at	at	ADP
ap-5918	66	24	least	least	ADJ
ap-5918	66	25	about	about	ADP
ap-5918	66	26	24	24	NUM
ap-5918	66	27	orders	order	NOUN
ap-5918	66	28	of	of	ADP
ap-5918	66	29	magnitude	magnitude	NOUN
ap-5918	66	30	smaller	small	ADJ
ap-5918	66	31	than	than	ADP
ap-5918	66	32	its	its	PRON
ap-5918	66	33	value	value	NOUN
ap-5918	66	34	,	,	PUNCT
ap-5918	66	35	with	with	ADP
ap-5918	66	36	considering	consider	VERB
ap-5918	66	37	the	the	DET
ap-5918	66	38	corrected	correct	VERB
ap-5918	66	39	bounds	bound	NOUN
ap-5918	66	40	of	of	ADP
ap-5918	66	41	η	η	PROPN
ap-5918	66	42	,	,	PUNCT
ap-5918	66	43	we	we	PRON
ap-5918	66	44	have∣∣∣	have∣∣∣	PUNCT
ap-5918	66	45	θη	θη	PROPN
ap-5918	66	46	4~2	4~2	NUM
ap-5918	66	47	∣∣∣	∣∣∣	PROPN
ap-5918	66	48	�	�	PROPN
ap-5918	66	49	10−29	10−29	NOUN
ap-5918	66	50	[	[	X
ap-5918	66	51	53	53	NUM
ap-5918	66	52	]	]	PUNCT
ap-5918	66	53	.	.	PUNCT
ap-5918	67	1	these	these	DET
ap-5918	67	2	values	value	NOUN
ap-5918	67	3	agree	agree	VERB
ap-5918	67	4	with	with	ADP
ap-5918	67	5	the	the	DET
ap-5918	67	6	higher	high	ADJ
ap-5918	67	7	limits	limit	NOUN
ap-5918	67	8	on	on	ADP
ap-5918	67	9	the	the	DET
ap-5918	67	10	basic	basic	ADJ
ap-5918	67	11	scales	scale	NOUN
ap-5918	67	12	of	of	ADP
ap-5918	67	13	coordinate	coordinate	NOUN
ap-5918	67	14	and	and	CCONJ
ap-5918	67	15	momentum	momentum	NOUN
ap-5918	67	16	.	.	PUNCT
ap-5918	68	1	these	these	DET
ap-5918	68	2	limits	limit	NOUN
ap-5918	68	3	will	will	AUX
ap-5918	68	4	be	be	AUX
ap-5918	68	5	suppressed	suppress	VERB
ap-5918	68	6	if	if	SCONJ
ap-5918	68	7	the	the	DET
ap-5918	68	8	used	use	VERB
ap-5918	68	9	magnetic	magnetic	ADJ
ap-5918	68	10	field	field	NOUN
ap-5918	68	11	in	in	ADP
ap-5918	68	12	the	the	DET
ap-5918	68	13	experiment	experiment	NOUN
ap-5918	68	14	is	be	AUX
ap-5918	68	15	weak	weak	ADJ
ap-5918	68	16	,	,	PUNCT
ap-5918	68	17	about	about	ADP
ap-5918	68	18	b	b	PROPN
ap-5918	68	19	≈	≈	PROPN
ap-5918	68	20	5	5	NUM
ap-5918	68	21	mg	mg	NOUN
ap-5918	68	22	.	.	PUNCT
ap-5918	69	1	as	as	ADV
ap-5918	69	2	long	long	ADV
ap-5918	69	3	as	as	SCONJ
ap-5918	69	4	the	the	DET
ap-5918	69	5	system	system	NOUN
ap-5918	69	6	in	in	ADP
ap-5918	69	7	which	which	PRON
ap-5918	69	8	we	we	PRON
ap-5918	69	9	investigate	investigate	VERB
ap-5918	69	10	the	the	DET
ap-5918	69	11	effects	effect	NOUN
ap-5918	69	12	of	of	ADP
ap-5918	69	13	noncommutativity	noncommutativity	NOUN
ap-5918	69	14	is	be	AUX
ap-5918	69	15	2	2	NUM
ap-5918	69	16	dimensional	dimensional	ADJ
ap-5918	69	17	,	,	PUNCT
ap-5918	69	18	we	we	PRON
ap-5918	69	19	restrict	restrict	VERB
ap-5918	69	20	112	112	NUM
ap-5918	69	21	vol	vol	NOUN
ap-5918	69	22	.	.	PUNCT
ap-5918	70	1	60	60	NUM
ap-5918	71	1	no	no	NOUN
ap-5918	71	2	.	.	PUNCT
ap-5918	72	1	2/2020	2/2020	NUM
ap-5918	72	2	analytical	analytical	ADJ
ap-5918	72	3	solution	solution	NOUN
ap-5918	72	4	of	of	ADP
ap-5918	72	5	(	(	PUNCT
ap-5918	72	6	2	2	NUM
ap-5918	72	7	+	+	NOUN
ap-5918	72	8	1	1	NUM
ap-5918	72	9	)	)	PUNCT
ap-5918	72	10	dimensional	dimensional	ADJ
ap-5918	72	11	dirac	dirac	NOUN
ap-5918	72	12	equation	equation	NOUN
ap-5918	72	13	.	.	PUNCT
ap-5918	72	14	.	.	PUNCT
ap-5918	73	1	.	.	PUNCT
ap-5918	74	1	ourselves	ourselves	PRON
ap-5918	74	2	to	to	ADP
ap-5918	74	3	the	the	DET
ap-5918	74	4	following	follow	VERB
ap-5918	74	5	nc	nc	PROPN
ap-5918	74	6	algebra	algebra	PROPN
ap-5918	74	7	[	[	PUNCT
ap-5918	74	8	xncj	xncj	PROPN
ap-5918	74	9	,	,	PUNCT
ap-5918	75	1	x	x	PROPN
ap-5918	75	2	nc	nc	PROPN
ap-5918	75	3	k	k	X
ap-5918	75	4	]	]	PUNCT
ap-5918	75	5	=	=	PUNCT
ap-5918	75	6	iθeγtεjk	iθeγtεjk	ADJ
ap-5918	75	7	[	[	PUNCT
ap-5918	75	8	pncj	pncj	NOUN
ap-5918	75	9	,	,	PUNCT
ap-5918	75	10	p	p	PROPN
ap-5918	75	11	nc	nc	PROPN
ap-5918	75	12	k	k	X
ap-5918	75	13	]	]	PUNCT
ap-5918	75	14	=	=	PUNCT
ap-5918	75	15	iηe−γtεjk	iηe−γtεjk	PROPN
ap-5918	75	16	,	,	PUNCT
ap-5918	75	17	(	(	PUNCT
ap-5918	75	18	j	j	NOUN
ap-5918	75	19	,	,	PUNCT
ap-5918	75	20	k	k	PROPN
ap-5918	75	21	=	=	SYM
ap-5918	75	22	1	1	NUM
ap-5918	75	23	,	,	PUNCT
ap-5918	75	24	2	2	NUM
ap-5918	75	25	)	)	PUNCT
ap-5918	75	26	[	[	PUNCT
ap-5918	75	27	xncj	xncj	NOUN
ap-5918	75	28	,	,	PUNCT
ap-5918	75	29	p	p	PROPN
ap-5918	75	30	nc	nc	PROPN
ap-5918	75	31	k	k	X
ap-5918	75	32	]	]	PUNCT
ap-5918	76	1	=	=	PUNCT
ap-5918	76	2	i	i	PRON
ap-5918	76	3	~	~	SYM
ap-5918	76	4	effδjk	effδjk	NOUN
ap-5918	76	5	,	,	PUNCT
ap-5918	76	6	(	(	PUNCT
ap-5918	76	7	3	3	X
ap-5918	76	8	)	)	PUNCT
ap-5918	76	9	we	we	PRON
ap-5918	76	10	have	have	VERB
ap-5918	76	11	ε12	ε12	NOUN
ap-5918	76	12	=	=	SYM
ap-5918	76	13	−ε21	−ε21	X
ap-5918	76	14	=	=	SYM
ap-5918	76	15	1	1	NUM
ap-5918	76	16	,	,	PUNCT
ap-5918	76	17	ε11	ε11	NOUN
ap-5918	76	18	=	=	SYM
ap-5918	76	19	ε22	ε22	NOUN
ap-5918	76	20	=	=	SYM
ap-5918	76	21	0	0	NUM
ap-5918	76	22	,	,	PUNCT
ap-5918	76	23	and	and	CCONJ
ap-5918	76	24	θ	θ	PROPN
ap-5918	76	25	,	,	PUNCT
ap-5918	76	26	η	η	PROPN
ap-5918	76	27	are	be	AUX
ap-5918	76	28	real	real	ADV
ap-5918	76	29	-	-	PUNCT
ap-5918	76	30	valued	value	VERB
ap-5918	76	31	with	with	ADP
ap-5918	76	32	the	the	DET
ap-5918	76	33	dimension	dimension	NOUN
ap-5918	76	34	of	of	ADP
ap-5918	76	35	length2	length2	PROPN
ap-5918	76	36	and	and	CCONJ
ap-5918	76	37	momentum2	momentum2	PROPN
ap-5918	76	38	,	,	PUNCT
ap-5918	76	39	respectively	respectively	ADV
ap-5918	76	40	.	.	PUNCT
ap-5918	77	1	while	while	SCONJ
ap-5918	77	2	the	the	DET
ap-5918	77	3	space	space	NOUN
ap-5918	77	4	coordinates	coordinate	NOUN
ap-5918	77	5	and	and	CCONJ
ap-5918	77	6	momentum	momentum	NOUN
ap-5918	77	7	are	be	AUX
ap-5918	77	8	fuzzy	fuzzy	ADJ
ap-5918	77	9	and	and	CCONJ
ap-5918	77	10	fluid	fluid	ADJ
ap-5918	77	11	[	[	X
ap-5918	77	12	54	54	NUM
ap-5918	77	13	]	]	PUNCT
ap-5918	77	14	,	,	PUNCT
ap-5918	77	15	they	they	PRON
ap-5918	77	16	can	can	AUX
ap-5918	77	17	not	not	PART
ap-5918	77	18	be	be	AUX
ap-5918	77	19	localized	localize	VERB
ap-5918	77	20	,	,	PUNCT
ap-5918	77	21	unless	unless	SCONJ
ap-5918	77	22	for	for	ADP
ap-5918	77	23	minus	minus	CCONJ
ap-5918	77	24	infinite	infinite	ADJ
ap-5918	77	25	times	time	NOUN
ap-5918	77	26	.	.	PUNCT
ap-5918	78	1	the	the	DET
ap-5918	78	2	parameters	parameter	NOUN
ap-5918	78	3	θ	θ	PROPN
ap-5918	78	4	,	,	PUNCT
ap-5918	78	5	η	η	PROPN
ap-5918	78	6	represent	represent	VERB
ap-5918	78	7	the	the	DET
ap-5918	78	8	fuzziness	fuzziness	NOUN
ap-5918	78	9	and	and	CCONJ
ap-5918	78	10	γ	γ	NOUN
ap-5918	78	11	represents	represent	VERB
ap-5918	78	12	the	the	DET
ap-5918	78	13	fluidity	fluidity	NOUN
ap-5918	78	14	of	of	ADP
ap-5918	78	15	the	the	DET
ap-5918	78	16	space	space	NOUN
ap-5918	78	17	.	.	PUNCT
ap-5918	79	1	the	the	DET
ap-5918	79	2	above	above	ADJ
ap-5918	79	3	equation	equation	NOUN
ap-5918	79	4	is	be	AUX
ap-5918	79	5	the	the	DET
ap-5918	79	6	relation	relation	NOUN
ap-5918	79	7	of	of	ADP
ap-5918	79	8	the	the	DET
ap-5918	79	9	ordinary	ordinary	ADJ
ap-5918	79	10	ncg	ncg	NOUN
ap-5918	79	11	except	except	SCONJ
ap-5918	79	12	that	that	SCONJ
ap-5918	79	13	the	the	DET
ap-5918	79	14	nc	nc	PROPN
ap-5918	79	15	structure	structure	PROPN
ap-5918	79	16	constants	constant	NOUN
ap-5918	79	17	are	be	AUX
ap-5918	79	18	considered	consider	VERB
ap-5918	79	19	as	as	ADP
ap-5918	79	20	exponentially	exponentially	ADV
ap-5918	79	21	increasing	increase	VERB
ap-5918	79	22	functions	function	NOUN
ap-5918	79	23	with	with	ADP
ap-5918	79	24	the	the	DET
ap-5918	79	25	evolution	evolution	NOUN
ap-5918	79	26	of	of	ADP
ap-5918	79	27	time	time	NOUN
ap-5918	79	28	.	.	PUNCT
ap-5918	80	1	certainly	certainly	ADV
ap-5918	80	2	,	,	PUNCT
ap-5918	80	3	there	there	PRON
ap-5918	80	4	is	be	VERB
ap-5918	80	5	a	a	DET
ap-5918	80	6	multitude	multitude	NOUN
ap-5918	80	7	of	of	ADP
ap-5918	80	8	other	other	ADJ
ap-5918	80	9	possibilities	possibility	NOUN
ap-5918	80	10	,	,	PUNCT
ap-5918	80	11	such	such	ADJ
ap-5918	80	12	as	as	ADP
ap-5918	80	13	θ(t	θ(t	NOUN
ap-5918	80	14	)	)	PUNCT
ap-5918	80	15	=	=	SYM
ap-5918	80	16	θcos(γt	θcos(γt	PROPN
ap-5918	80	17	)	)	PUNCT
ap-5918	80	18	,	,	PUNCT
ap-5918	80	19	η(t	η(t	NOUN
ap-5918	80	20	)	)	PUNCT
ap-5918	80	21	=	=	SYM
ap-5918	80	22	ηsin(γt	ηsin(γt	NOUN
ap-5918	80	23	)	)	PUNCT
ap-5918	80	24	.	.	PUNCT
ap-5918	81	1	the	the	DET
ap-5918	81	2	new	new	ADJ
ap-5918	81	3	deformed	deform	VERB
ap-5918	81	4	geometry	geometry	NOUN
ap-5918	81	5	can	can	AUX
ap-5918	81	6	be	be	AUX
ap-5918	81	7	described	describe	VERB
ap-5918	81	8	by	by	ADP
ap-5918	81	9	the	the	DET
ap-5918	81	10	operators	operator	NOUN
ap-5918	81	11	xnc1	xnc1	PROPN
ap-5918	82	1	=	=	PUNCT
ap-5918	82	2	xnc	xnc	PROPN
ap-5918	83	1	=	=	SYM
ap-5918	83	2	x−	x−	PROPN
ap-5918	83	3	1	1	NUM
ap-5918	83	4	2	2	NUM
ap-5918	83	5	~	~	NOUN
ap-5918	83	6	θeγtpy	θeγtpy	NOUN
ap-5918	83	7	,	,	PUNCT
ap-5918	83	8	pnc1	pnc1	NOUN
ap-5918	83	9	=	=	PUNCT
ap-5918	83	10	pncx	pncx	NOUN
ap-5918	83	11	=	=	SYM
ap-5918	83	12	px	px	PROPN
ap-5918	84	1	+	+	NOUN
ap-5918	84	2	1	1	NUM
ap-5918	84	3	2	2	NUM
ap-5918	84	4	~	~	PUNCT
ap-5918	84	5	ηe	ηe	ADP
ap-5918	84	6	−γty	−γty	NOUN
ap-5918	84	7	xnc2	xnc2	PROPN
ap-5918	84	8	=	=	SYM
ap-5918	84	9	ync	ync	PROPN
ap-5918	84	10	=	=	SYM
ap-5918	84	11	y	y	PROPN
ap-5918	85	1	+	+	NOUN
ap-5918	85	2	1	1	NUM
ap-5918	85	3	2	2	NUM
ap-5918	85	4	~	~	NOUN
ap-5918	85	5	θeγtpx	θeγtpx	ADJ
ap-5918	85	6	,	,	PUNCT
ap-5918	85	7	pnc2	pnc2	ADJ
ap-5918	85	8	=	=	SYM
ap-5918	85	9	pncy	pncy	NOUN
ap-5918	85	10	=	=	NOUN
ap-5918	85	11	py	py	INTJ
ap-5918	85	12	−	−	NOUN
ap-5918	85	13	1	1	NUM
ap-5918	85	14	2	2	NUM
ap-5918	85	15	~	~	PUNCT
ap-5918	85	16	ηe	ηe	ADP
ap-5918	85	17	−γtx	−γtx	NOUN
ap-5918	85	18	.	.	PUNCT
ap-5918	86	1	(	(	PUNCT
ap-5918	86	2	4	4	X
ap-5918	86	3	)	)	PUNCT
ap-5918	86	4	when	when	SCONJ
ap-5918	86	5	γ	γ	X
ap-5918	86	6	=	=	SYM
ap-5918	86	7	0	0	PROPN
ap-5918	86	8	,	,	PUNCT
ap-5918	86	9	the	the	DET
ap-5918	86	10	time	time	NOUN
ap-5918	86	11	-	-	PUNCT
ap-5918	86	12	dependency	dependency	NOUN
ap-5918	86	13	in	in	ADP
ap-5918	86	14	the	the	DET
ap-5918	86	15	structure	structure	NOUN
ap-5918	86	16	of	of	ADP
ap-5918	86	17	nc	nc	PROPN
ap-5918	86	18	parameters	parameter	NOUN
ap-5918	86	19	vanishes	vanish	VERB
ap-5918	86	20	.	.	PUNCT
ap-5918	87	1	in	in	ADP
ap-5918	87	2	addition	addition	NOUN
ap-5918	87	3	,	,	PUNCT
ap-5918	87	4	for	for	ADP
ap-5918	87	5	θ	θ	PROPN
ap-5918	87	6	=	=	SYM
ap-5918	87	7	η	η	PROPN
ap-5918	87	8	=	=	SYM
ap-5918	87	9	0	0	PROPN
ap-5918	87	10	,	,	PUNCT
ap-5918	87	11	the	the	DET
ap-5918	87	12	ncg	ncg	PROPN
ap-5918	87	13	reduces	reduce	VERB
ap-5918	87	14	to	to	ADP
ap-5918	87	15	a	a	DET
ap-5918	87	16	commutative	commutative	ADJ
ap-5918	87	17	one	one	NOUN
ap-5918	87	18	and	and	CCONJ
ap-5918	87	19	the	the	DET
ap-5918	87	20	coordinates	coordinate	NOUN
ap-5918	87	21	xj	xj	PROPN
ap-5918	87	22	and	and	CCONJ
ap-5918	87	23	the	the	DET
ap-5918	87	24	momentum	momentum	NOUN
ap-5918	87	25	pk	pk	NOUN
ap-5918	87	26	satisfy	satisfy	VERB
ap-5918	87	27	the	the	DET
ap-5918	87	28	ordinary	ordinary	ADJ
ap-5918	87	29	canonical	canonical	ADJ
ap-5918	87	30	commutation	commutation	NOUN
ap-5918	87	31	relations	relation	NOUN
ap-5918	87	32	[	[	X
ap-5918	87	33	xj	xj	X
ap-5918	87	34	,	,	PUNCT
ap-5918	87	35	xk	xk	PROPN
ap-5918	87	36	]	]	X
ap-5918	87	37	=	=	SYM
ap-5918	87	38	0	0	PUNCT
ap-5918	88	1	[	[	X
ap-5918	88	2	pj	pj	PROPN
ap-5918	88	3	,	,	PUNCT
ap-5918	88	4	pk	pk	NOUN
ap-5918	88	5	]	]	X
ap-5918	88	6	=	=	SYM
ap-5918	88	7	0	0	NUM
ap-5918	88	8	,	,	PUNCT
ap-5918	88	9	(	(	PUNCT
ap-5918	88	10	j	j	NOUN
ap-5918	88	11	,	,	PUNCT
ap-5918	88	12	k	k	PROPN
ap-5918	88	13	=	=	SYM
ap-5918	88	14	1	1	NUM
ap-5918	88	15	,	,	PUNCT
ap-5918	88	16	2	2	NUM
ap-5918	88	17	)	)	PUNCT
ap-5918	89	1	[	[	X
ap-5918	89	2	xj	xj	X
ap-5918	89	3	,	,	PUNCT
ap-5918	89	4	pk	pk	X
ap-5918	89	5	]	]	X
ap-5918	89	6	=	=	PUNCT
ap-5918	89	7	i	i	PRON
ap-5918	89	8	~	~	PUNCT
ap-5918	89	9	δjk	δjk	X
ap-5918	89	10	.	.	PUNCT
ap-5918	90	1	(	(	PUNCT
ap-5918	90	2	5	5	NUM
ap-5918	90	3	)	)	PUNCT
ap-5918	90	4	3	3	NUM
ap-5918	90	5	.	.	PUNCT
ap-5918	91	1	(	(	PUNCT
ap-5918	91	2	2	2	NUM
ap-5918	91	3	+	+	NOUN
ap-5918	91	4	1	1	NUM
ap-5918	91	5	)	)	PUNCT
ap-5918	91	6	d	d	NOUN
ap-5918	91	7	explicitly	explicitly	ADV
ap-5918	91	8	time	time	NOUN
ap-5918	91	9	-	-	PUNCT
ap-5918	91	10	dependent	dependent	ADJ
ap-5918	91	11	dirac	dirac	NOUN
ap-5918	91	12	equation	equation	NOUN
ap-5918	91	13	and	and	CCONJ
ap-5918	91	14	its	its	PRON
ap-5918	91	15	invariant	invariant	ADJ
ap-5918	91	16	operator	operator	NOUN
ap-5918	91	17	3.1	3.1	NUM
ap-5918	91	18	.	.	PUNCT
ap-5918	92	1	(	(	PUNCT
ap-5918	92	2	2	2	NUM
ap-5918	92	3	+	+	NOUN
ap-5918	92	4	1	1	NUM
ap-5918	92	5	)	)	PUNCT
ap-5918	92	6	d	d	NOUN
ap-5918	92	7	dirac	dirac	NOUN
ap-5918	92	8	equation	equation	NOUN
ap-5918	92	9	in	in	ADP
ap-5918	92	10	time	time	NOUN
ap-5918	92	11	-	-	PUNCT
ap-5918	92	12	dependent	dependent	ADJ
ap-5918	92	13	noncommutative	noncommutative	ADJ
ap-5918	92	14	phase	phase	NOUN
ap-5918	92	15	-	-	PUNCT
ap-5918	92	16	space	space	NOUN
ap-5918	92	17	in	in	ADP
ap-5918	92	18	presence	presence	NOUN
ap-5918	92	19	of	of	ADP
ap-5918	92	20	an	an	DET
ap-5918	92	21	electromagnetic	electromagnetic	ADJ
ap-5918	92	22	four	four	NUM
ap-5918	92	23	-	-	PUNCT
ap-5918	92	24	potential	potential	NOUN
ap-5918	92	25	aµ	aµ	NOUN
ap-5918	93	1	=	=	SYM
ap-5918	93	2	(	(	PUNCT
ap-5918	93	3	a0	a0	PROPN
ap-5918	93	4	,	,	PUNCT
ap-5918	93	5	ai	ai	NOUN
ap-5918	93	6	)	)	PUNCT
ap-5918	93	7	,	,	PUNCT
ap-5918	93	8	the	the	DET
ap-5918	93	9	dirac	dirac	NOUN
ap-5918	93	10	equation	equation	NOUN
ap-5918	93	11	in	in	ADP
ap-5918	93	12	(	(	PUNCT
ap-5918	93	13	2	2	NUM
ap-5918	93	14	+	+	NOUN
ap-5918	93	15	1	1	NUM
ap-5918	93	16	)	)	PUNCT
ap-5918	93	17	d	d	NOUN
ap-5918	93	18	is	be	AUX
ap-5918	93	19	given	give	VERB
ap-5918	93	20	by	by	ADP
ap-5918	93	21	(	(	PUNCT
ap-5918	93	22	cαi(pi	cαi(pi	NOUN
ap-5918	93	23	−	−	PROPN
ap-5918	93	24	e	e	NOUN
ap-5918	93	25	cai(x	cai(x	NOUN
ap-5918	93	26	)	)	PUNCT
ap-5918	93	27	)	)	PUNCT
ap-5918	94	1	+	+	CCONJ
ap-5918	94	2	ea0(x	ea0(x	NOUN
ap-5918	94	3	)	)	PUNCT
ap-5918	94	4	+	+	CCONJ
ap-5918	94	5	βmc2	βmc2	NOUN
ap-5918	94	6	)	)	PUNCT
ap-5918	94	7	|ψ	|ψ	PROPN
ap-5918	94	8	〉	〉	NOUN
ap-5918	94	9	=	=	SYM
ap-5918	94	10	i~	i~	PROPN
ap-5918	94	11	∂	∂	NOUN
ap-5918	94	12	∂t	∂t	PROPN
ap-5918	94	13	|ψ	|ψ	PROPN
ap-5918	94	14	〉	〉	PROPN
ap-5918	94	15	,	,	PUNCT
ap-5918	94	16	(	(	PUNCT
ap-5918	94	17	6	6	NUM
ap-5918	94	18	)	)	PUNCT
ap-5918	94	19	with	with	ADP
ap-5918	94	20	|ψ	|ψ	PROPN
ap-5918	94	21	〉	〉	PROPN
ap-5918	94	22	being	be	AUX
ap-5918	94	23	the	the	DET
ap-5918	94	24	dirac	dirac	NOUN
ap-5918	94	25	wave	wave	NOUN
ap-5918	94	26	function	function	NOUN
ap-5918	94	27	,	,	PUNCT
ap-5918	94	28	and	and	CCONJ
ap-5918	94	29	pj	pj	PROPN
ap-5918	94	30	=	=	SYM
ap-5918	95	1			PROPN
ap-5918	95	2	px	px	PROPN
ap-5918	95	3	py	py	PROPN
ap-5918	95	4	pz	pz	PROPN
ap-5918	95	5			PROPN
ap-5918	95	6	is	be	AUX
ap-5918	95	7	the	the	DET
ap-5918	95	8	momentum	momentum	NOUN
ap-5918	95	9	.	.	PUNCT
ap-5918	96	1	the	the	DET
ap-5918	96	2	dirac	dirac	NOUN
ap-5918	96	3	matrices	matrix	NOUN
ap-5918	96	4	αj	αj	NOUN
ap-5918	96	5	,	,	PUNCT
ap-5918	96	6	β	β	X
ap-5918	96	7	αj	αj	NOUN
ap-5918	96	8	=	=	PUNCT
ap-5918	96	9	(	(	PUNCT
ap-5918	96	10	0	0	NUM
ap-5918	96	11	σj	σj	VERB
ap-5918	96	12	σj	σj	PROPN
ap-5918	96	13	0	0	NUM
ap-5918	96	14	)	)	PUNCT
ap-5918	96	15	,	,	PUNCT
ap-5918	96	16	α1	α1	PROPN
ap-5918	96	17	=	=	SYM
ap-5918	96	18	σ1	σ1	PROPN
ap-5918	96	19	=	=	SYM
ap-5918	96	20	(	(	PUNCT
ap-5918	96	21	0	0	NUM
ap-5918	96	22	1	1	NUM
ap-5918	96	23	1	1	NUM
ap-5918	96	24	0	0	NUM
ap-5918	96	25	)	)	PUNCT
ap-5918	96	26	,	,	PUNCT
ap-5918	96	27	α2	α2	PROPN
ap-5918	96	28	=	=	SYM
ap-5918	96	29	σ2	σ2	PROPN
ap-5918	96	30	=	=	SYM
ap-5918	96	31	(	(	PUNCT
ap-5918	96	32	0	0	NUM
ap-5918	96	33	−i	−i	NOUN
ap-5918	97	1	i	i	INTJ
ap-5918	97	2	0	0	NUM
ap-5918	97	3	)	)	PUNCT
ap-5918	97	4	,	,	PUNCT
ap-5918	97	5	β	β	X
ap-5918	97	6	=	=	SYM
ap-5918	97	7	σ3	σ3	PROPN
ap-5918	97	8	=	=	PUNCT
ap-5918	97	9	(	(	PUNCT
ap-5918	97	10	1	1	NUM
ap-5918	97	11	0	0	NUM
ap-5918	97	12	0	0	NUM
ap-5918	97	13	−1	−1	NOUN
ap-5918	97	14	)	)	PUNCT
ap-5918	97	15	,	,	PUNCT
ap-5918	98	1	i	i	PRON
ap-5918	98	2	=	=	PUNCT
ap-5918	98	3	(	(	PUNCT
ap-5918	98	4	1	1	NUM
ap-5918	98	5	0	0	NUM
ap-5918	98	6	0	0	NUM
ap-5918	98	7	1	1	NUM
ap-5918	98	8	)	)	PUNCT
ap-5918	98	9	,	,	PUNCT
ap-5918	98	10	(	(	PUNCT
ap-5918	98	11	7	7	X
ap-5918	98	12	)	)	PUNCT
ap-5918	98	13	satisfy	satisfy	VERB
ap-5918	98	14	the	the	DET
ap-5918	98	15	following	follow	VERB
ap-5918	98	16	anticommutation	anticommutation	NOUN
ap-5918	98	17	relations	relation	NOUN
ap-5918	98	18	{	{	PUNCT
ap-5918	98	19	αi	αi	PROPN
ap-5918	98	20	,	,	PUNCT
ap-5918	98	21	αj	αj	NOUN
ap-5918	98	22	}	}	PUNCT
ap-5918	98	23	=	=	SYM
ap-5918	98	24	2δij	2δij	NUM
ap-5918	98	25	,	,	PUNCT
ap-5918	98	26	{	{	PUNCT
ap-5918	98	27	αi	αi	ADV
ap-5918	98	28	,	,	PUNCT
ap-5918	98	29	β	β	X
ap-5918	98	30	}	}	PUNCT
ap-5918	98	31	=	=	SYM
ap-5918	98	32	0	0	NUM
ap-5918	98	33	with	with	ADP
ap-5918	98	34	α2	α2	ADJ
ap-5918	99	1	i	i	NOUN
ap-5918	99	2	=	=	SYM
ap-5918	99	3	β2	β2	NOUN
ap-5918	99	4	=	=	NOUN
ap-5918	99	5	1	1	X
ap-5918	99	6	.	.	PUNCT
ap-5918	100	1	(	(	PUNCT
ap-5918	100	2	8)	8)	NUM
ap-5918	100	3	we	we	PRON
ap-5918	100	4	consider	consider	VERB
ap-5918	100	5	the	the	DET
ap-5918	100	6	magnetic	magnetic	ADJ
ap-5918	100	7	field	field	NOUN
ap-5918	100	8	−→b	−→b	NOUN
ap-5918	100	9	along	along	ADP
ap-5918	100	10	z	z	NOUN
ap-5918	100	11	-	-	PUNCT
ap-5918	100	12	direction	direction	NOUN
ap-5918	100	13	,	,	PUNCT
ap-5918	100	14	and	and	CCONJ
ap-5918	100	15	it	it	PRON
ap-5918	100	16	is	be	AUX
ap-5918	100	17	defined	define	VERB
ap-5918	100	18	in	in	ADP
ap-5918	100	19	terms	term	NOUN
ap-5918	100	20	of	of	ADP
ap-5918	100	21	the	the	DET
ap-5918	100	22	symmetric	symmetric	ADJ
ap-5918	100	23	potential	potential	NOUN
ap-5918	100	24	ai	ai	NOUN
ap-5918	100	25	=	=	SYM
ap-5918	100	26	b	b	SYM
ap-5918	100	27	2	2	NUM
ap-5918	100	28	(	(	PUNCT
ap-5918	100	29	−y	−y	NOUN
ap-5918	100	30	,	,	PUNCT
ap-5918	100	31	x	x	X
ap-5918	100	32	,	,	PUNCT
ap-5918	100	33	0	0	NUM
ap-5918	100	34	)	)	PUNCT
ap-5918	100	35	,	,	PUNCT
ap-5918	100	36	with	with	ADP
ap-5918	100	37	a0	a0	PROPN
ap-5918	100	38	=	=	SYM
ap-5918	100	39	0	0	PROPN
ap-5918	100	40	,	,	PUNCT
ap-5918	100	41	(	(	PUNCT
ap-5918	100	42	9	9	X
ap-5918	100	43	)	)	PUNCT
ap-5918	100	44	most	most	ADJ
ap-5918	100	45	research	research	NOUN
ap-5918	100	46	about	about	ADP
ap-5918	100	47	time	time	NOUN
ap-5918	100	48	-	-	PUNCT
ap-5918	100	49	dependent	dependent	ADJ
ap-5918	100	50	systems	system	NOUN
ap-5918	100	51	concerns	concern	VERB
ap-5918	100	52	the	the	DET
ap-5918	100	53	presence	presence	NOUN
ap-5918	100	54	of	of	ADP
ap-5918	100	55	an	an	DET
ap-5918	100	56	electric	electric	ADJ
ap-5918	100	57	field	field	NOUN
ap-5918	100	58	.	.	PUNCT
ap-5918	101	1	however	however	ADV
ap-5918	101	2	,	,	PUNCT
ap-5918	101	3	in	in	ADP
ap-5918	101	4	our	our	PRON
ap-5918	101	5	current	current	ADJ
ap-5918	101	6	work	work	NOUN
ap-5918	101	7	,	,	PUNCT
ap-5918	101	8	we	we	PRON
ap-5918	101	9	do	do	AUX
ap-5918	101	10	not	not	PART
ap-5918	101	11	rely	rely	VERB
ap-5918	101	12	on	on	ADP
ap-5918	101	13	the	the	DET
ap-5918	101	14	electric	electric	ADJ
ap-5918	101	15	field	field	NOUN
ap-5918	101	16	.	.	PUNCT
ap-5918	102	1	using	use	VERB
ap-5918	102	2	eq.(9	eq.(9	ADJ
ap-5918	102	3	)	)	PUNCT
ap-5918	102	4	,	,	PUNCT
ap-5918	102	5	the	the	DET
ap-5918	102	6	hamiltonian	hamiltonian	NOUN
ap-5918	102	7	of	of	ADP
ap-5918	102	8	the	the	DET
ap-5918	102	9	system	system	NOUN
ap-5918	102	10	becomes	become	VERB
ap-5918	102	11	h	h	NOUN
ap-5918	102	12	(	(	PUNCT
ap-5918	102	13	x	x	NOUN
ap-5918	102	14	,	,	PUNCT
ap-5918	102	15	y	y	PROPN
ap-5918	102	16	,	,	PUNCT
ap-5918	102	17	pxpy	pxpy	ADJ
ap-5918	102	18	)	)	PUNCT
ap-5918	103	1	=	=	SYM
ap-5918	103	2	cα1px	cα1px	PROPN
ap-5918	103	3	+	+	NUM
ap-5918	103	4	cα2py	cα2py	NOUN
ap-5918	103	5	+	+	CCONJ
ap-5918	103	6	eα1	eα1	X
ap-5918	103	7	b	b	SYM
ap-5918	103	8	2	2	NUM
ap-5918	103	9	y	y	NOUN
ap-5918	103	10	−	−	NOUN
ap-5918	103	11	eα2	eα2	PROPN
ap-5918	103	12	b	b	SYM
ap-5918	103	13	2	2	NUM
ap-5918	103	14	x+	x+	ADJ
ap-5918	103	15	βmc2	βmc2	NOUN
ap-5918	103	16	.	.	PUNCT
ap-5918	104	1	(	(	PUNCT
ap-5918	104	2	10	10	X
ap-5918	104	3	)	)	PUNCT
ap-5918	104	4	achieving	achieve	VERB
ap-5918	104	5	the	the	DET
ap-5918	104	6	ncg	ncg	PROPN
ap-5918	104	7	in	in	ADP
ap-5918	104	8	the	the	DET
ap-5918	104	9	dirac	dirac	NOUN
ap-5918	104	10	hamiltonian	hamiltonian	NOUN
ap-5918	104	11	(	(	PUNCT
ap-5918	104	12	10	10	NUM
ap-5918	104	13	)	)	PUNCT
ap-5918	104	14	as	as	SCONJ
ap-5918	104	15	follows	follow	VERB
ap-5918	104	16	h	h	NOUN
ap-5918	104	17	(	(	PUNCT
ap-5918	104	18	xnc	xnc	PROPN
ap-5918	104	19	,	,	PUNCT
ap-5918	104	20	ync	ync	PROPN
ap-5918	104	21	,	,	PUNCT
ap-5918	104	22	pncx	pncx	INTJ
ap-5918	104	23	,	,	PUNCT
ap-5918	104	24	p	p	PROPN
ap-5918	104	25	nc	nc	PROPN
ap-5918	104	26	y	y	PROPN
ap-5918	104	27	)	)	PUNCT
ap-5918	105	1	=	=	PROPN
ap-5918	105	2	cα1p	cα1p	PROPN
ap-5918	105	3	nc	nc	PROPN
ap-5918	105	4	x	x	PROPN
ap-5918	105	5	+	+	PROPN
ap-5918	105	6	cα2p	cα2p	PROPN
ap-5918	105	7	nc	nc	PROPN
ap-5918	105	8	y	y	PROPN
ap-5918	105	9	−	−	PROPN
ap-5918	105	10	eα2	eα2	PROPN
ap-5918	105	11	b	b	SYM
ap-5918	105	12	2	2	NUM
ap-5918	105	13	x	x	SYM
ap-5918	105	14	nc	nc	PROPN
ap-5918	105	15	+	+	PROPN
ap-5918	105	16	eα1	eα1	X
ap-5918	105	17	b	b	PROPN
ap-5918	105	18	2	2	NUM
ap-5918	105	19	y	y	PROPN
ap-5918	105	20	nc	nc	PROPN
ap-5918	106	1	+	+	PROPN
ap-5918	106	2	βmc2	βmc2	PROPN
ap-5918	106	3	,	,	PUNCT
ap-5918	106	4	(	(	PUNCT
ap-5918	106	5	11	11	NUM
ap-5918	106	6	)	)	PUNCT
ap-5918	106	7	by	by	ADP
ap-5918	106	8	applying	apply	VERB
ap-5918	106	9	eq.(4	eq.(4	NOUN
ap-5918	106	10	)	)	PUNCT
ap-5918	106	11	,	,	PUNCT
ap-5918	106	12	we	we	PRON
ap-5918	106	13	necessarily	necessarily	ADV
ap-5918	106	14	express	express	VERB
ap-5918	106	15	the	the	DET
ap-5918	106	16	new	new	ADJ
ap-5918	106	17	nc	nc	PROPN
ap-5918	106	18	hamiltonian	hamiltonian	PROPN
ap-5918	106	19	using	use	VERB
ap-5918	106	20	the	the	DET
ap-5918	106	21	commutative	commutative	ADJ
ap-5918	106	22	variables	variable	NOUN
ap-5918	106	23	{	{	PUNCT
ap-5918	106	24	x	x	NOUN
ap-5918	106	25	,	,	PUNCT
ap-5918	106	26	y	y	PROPN
ap-5918	106	27	,	,	PUNCT
ap-5918	106	28	px	px	PROPN
ap-5918	106	29	,	,	PUNCT
ap-5918	106	30	py	py	NOUN
ap-5918	106	31	}	}	PUNCT
ap-5918	106	32	,	,	PUNCT
ap-5918	106	33	and	and	CCONJ
ap-5918	106	34	by	by	ADP
ap-5918	106	35	assuming	assume	VERB
ap-5918	106	36	that	that	SCONJ
ap-5918	106	37	~	~	PUNCT
ap-5918	106	38	=	=	PUNCT
ap-5918	106	39	c	c	NOUN
ap-5918	106	40	=	=	SYM
ap-5918	106	41	1	1	NUM
ap-5918	106	42	(	(	PUNCT
ap-5918	106	43	natural	natural	ADJ
ap-5918	106	44	units	unit	NOUN
ap-5918	106	45	)	)	PUNCT
ap-5918	106	46	to	to	PART
ap-5918	106	47	simplify	simplify	VERB
ap-5918	106	48	the	the	DET
ap-5918	106	49	calculations	calculation	NOUN
ap-5918	106	50	,	,	PUNCT
ap-5918	106	51	then	then	ADV
ap-5918	106	52	we	we	PRON
ap-5918	106	53	obtain	obtain	VERB
ap-5918	106	54	hnc(x	hnc(x	PROPN
ap-5918	106	55	,	,	PUNCT
ap-5918	106	56	y	y	PROPN
ap-5918	106	57	,	,	PUNCT
ap-5918	106	58	pxpy	pxpy	PROPN
ap-5918	106	59	,	,	PUNCT
ap-5918	106	60	t	t	PROPN
ap-5918	106	61	)	)	PUNCT
ap-5918	106	62	=	=	SYM
ap-5918	107	1	α1(1	α1(1	PROPN
ap-5918	107	2	+	+	ADJ
ap-5918	107	3	eb	eb	PROPN
ap-5918	107	4	4	4	NUM
ap-5918	107	5	θeγt)px−α2(eb2	θeγt)px−α2(eb2	ADJ
ap-5918	107	6	+	+	CCONJ
ap-5918	107	7	η	η	PROPN
ap-5918	107	8	2e	2e	PROPN
ap-5918	107	9	−γt)x+α2(1	−γt)x+α2(1	NOUN
ap-5918	107	10	+	+	CCONJ
ap-5918	107	11	eb	eb	PROPN
ap-5918	107	12	4	4	NUM
ap-5918	107	13	θeγt)py+α1(eb2	θeγt)py+α1(eb2	PROPN
ap-5918	107	14	+	+	NUM
ap-5918	107	15	η	η	NOUN
ap-5918	107	16	2e	2e	NOUN
ap-5918	107	17	−γt)y+βm	−γt)y+βm	NOUN
ap-5918	107	18	.	.	PUNCT
ap-5918	108	1	(	(	PUNCT
ap-5918	108	2	12	12	NUM
ap-5918	108	3	)	)	SYM
ap-5918	108	4	113	113	NUM
ap-5918	108	5	ilyas	ilyas	PROPN
ap-5918	108	6	haouam	haouam	PROPN
ap-5918	108	7	acta	acta	PROPN
ap-5918	108	8	polytechnica	polytechnica	PROPN
ap-5918	108	9	the	the	DET
ap-5918	108	10	time	time	NOUN
ap-5918	108	11	-	-	PUNCT
ap-5918	108	12	dependent	dependent	ADJ
ap-5918	108	13	dirac	dirac	NOUN
ap-5918	108	14	equation	equation	NOUN
ap-5918	108	15	in	in	ADP
ap-5918	108	16	nc	nc	PROPN
ap-5918	108	17	phase	phase	NOUN
ap-5918	108	18	-	-	PUNCT
ap-5918	108	19	space	space	NOUN
ap-5918	108	20	is	be	AUX
ap-5918	108	21	given	give	VERB
ap-5918	108	22	by	by	ADP
ap-5918	108	23	i	i	PROPN
ap-5918	108	24	∂	∂	NOUN
ap-5918	108	25	∂t	∂t	PROPN
ap-5918	108	26	∣∣ψ̄	∣∣ψ̄	PROPN
ap-5918	108	27	(	(	PUNCT
ap-5918	108	28	t	t	NOUN
ap-5918	108	29	)	)	PUNCT
ap-5918	108	30	〉	〉	NOUN
ap-5918	108	31	=	=	SYM
ap-5918	108	32	hnc	hnc	PROPN
ap-5918	108	33	(	(	PUNCT
ap-5918	108	34	t	t	PROPN
ap-5918	108	35	)	)	PUNCT
ap-5918	108	36	∣∣ψ̄	∣∣ψ̄	PROPN
ap-5918	108	37	(	(	PUNCT
ap-5918	108	38	t	t	NOUN
ap-5918	108	39	)	)	PUNCT
ap-5918	108	40	〉	〉	NOUN
ap-5918	108	41	,	,	PUNCT
ap-5918	108	42	(	(	PUNCT
ap-5918	108	43	13	13	NUM
ap-5918	108	44	)	)	PUNCT
ap-5918	108	45	where	where	SCONJ
ap-5918	108	46	∣∣ψ̄	∣∣ψ̄	PROPN
ap-5918	108	47	(	(	PUNCT
ap-5918	108	48	t	t	NOUN
ap-5918	108	49	)	)	PUNCT
ap-5918	108	50	〉	〉	NOUN
ap-5918	108	51	is	be	AUX
ap-5918	108	52	the	the	DET
ap-5918	108	53	dirac	dirac	PROPN
ap-5918	108	54	nc	nc	PROPN
ap-5918	108	55	wave	wave	PROPN
ap-5918	108	56	function	function	PROPN
ap-5918	108	57	.	.	PUNCT
ap-5918	109	1	3.2	3.2	NUM
ap-5918	109	2	.	.	PUNCT
ap-5918	110	1	the	the	DET
ap-5918	110	2	construction	construction	NOUN
ap-5918	110	3	of	of	ADP
ap-5918	110	4	the	the	DET
ap-5918	110	5	lewis	lewis	NOUN
ap-5918	110	6	-	-	PUNCT
ap-5918	110	7	riesenfeld	riesenfeld	NOUN
ap-5918	110	8	invariants	invariant	NOUN
ap-5918	110	9	to	to	PART
ap-5918	110	10	solve	solve	VERB
ap-5918	110	11	eq.(13	eq.(13	ADJ
ap-5918	110	12	)	)	PUNCT
ap-5918	110	13	,	,	PUNCT
ap-5918	110	14	we	we	PRON
ap-5918	110	15	use	use	VERB
ap-5918	110	16	the	the	DET
ap-5918	110	17	lr	lr	PROPN
ap-5918	110	18	invariant	invariant	ADJ
ap-5918	110	19	method	method	NOUN
ap-5918	110	20	,	,	PUNCT
ap-5918	110	21	which	which	PRON
ap-5918	110	22	assumes	assume	VERB
ap-5918	110	23	the	the	DET
ap-5918	110	24	existence	existence	NOUN
ap-5918	110	25	of	of	ADP
ap-5918	110	26	a	a	DET
ap-5918	110	27	quantum	quantum	ADJ
ap-5918	110	28	-	-	ADJ
ap-5918	110	29	mechanical	mechanical	ADJ
ap-5918	110	30	invariant	invariant	ADJ
ap-5918	110	31	i(t	i(t	NOUN
ap-5918	110	32	)	)	PUNCT
ap-5918	110	33	which	which	PRON
ap-5918	110	34	satisfies	satisfy	VERB
ap-5918	110	35	di(t	di(t	NOUN
ap-5918	110	36	)	)	PUNCT
ap-5918	110	37	dt	dt	X
ap-5918	111	1	=	=	SYM
ap-5918	111	2	−i	−i	PROPN
ap-5918	112	1	[	[	X
ap-5918	112	2	i(t),hnc	i(t),hnc	X
ap-5918	112	3	(	(	PUNCT
ap-5918	112	4	t	t	PROPN
ap-5918	112	5	)	)	PUNCT
ap-5918	112	6	]	]	PUNCT
ap-5918	112	7	+	+	CCONJ
ap-5918	112	8	∂i(t	∂i(t	X
ap-5918	112	9	)	)	PUNCT
ap-5918	112	10	∂t	∂t	PROPN
ap-5918	112	11	=	=	SYM
ap-5918	112	12	0	0	PROPN
ap-5918	112	13	,	,	PUNCT
ap-5918	112	14	(	(	PUNCT
ap-5918	112	15	14	14	NUM
ap-5918	112	16	)	)	PUNCT
ap-5918	112	17	with	with	ADP
ap-5918	112	18	i	i	PROPN
ap-5918	112	19	∂	∂	X
ap-5918	112	20	∂t	∂t	PROPN
ap-5918	112	21	(	(	PUNCT
ap-5918	112	22	i(t	i(t	PROPN
ap-5918	112	23	)	)	PUNCT
ap-5918	112	24	∣∣ψ̄	∣∣ψ̄	PROPN
ap-5918	112	25	(	(	PUNCT
ap-5918	112	26	t	t	NOUN
ap-5918	112	27	)	)	PUNCT
ap-5918	112	28	〉	〉	NOUN
ap-5918	112	29	)	)	PUNCT
ap-5918	112	30	=	=	SYM
ap-5918	112	31	hnc	hnc	PROPN
ap-5918	112	32	(	(	PUNCT
ap-5918	112	33	t	t	PROPN
ap-5918	112	34	)	)	PUNCT
ap-5918	112	35	i(t	i(t	PROPN
ap-5918	112	36	)	)	PUNCT
ap-5918	112	37	∣∣ψ̄	∣∣ψ̄	PROPN
ap-5918	112	38	(	(	PUNCT
ap-5918	112	39	t	t	NOUN
ap-5918	112	40	)	)	PUNCT
ap-5918	112	41	〉	〉	NOUN
ap-5918	112	42	.	.	PUNCT
ap-5918	113	1	(	(	PUNCT
ap-5918	113	2	15	15	NUM
ap-5918	113	3	)	)	PUNCT
ap-5918	113	4	the	the	DET
ap-5918	113	5	eq.(14	eq.(14	NOUN
ap-5918	113	6	)	)	PUNCT
ap-5918	113	7	is	be	AUX
ap-5918	113	8	called	call	VERB
ap-5918	113	9	the	the	DET
ap-5918	113	10	invariance	invariance	NOUN
ap-5918	113	11	condition	condition	NOUN
ap-5918	113	12	for	for	ADP
ap-5918	113	13	the	the	DET
ap-5918	113	14	dynamical	dynamical	ADJ
ap-5918	113	15	invariant	invariant	ADJ
ap-5918	113	16	operator	operator	NOUN
ap-5918	113	17	i(t	i(t	PROPN
ap-5918	113	18	)	)	PUNCT
ap-5918	113	19	,	,	PUNCT
ap-5918	113	20	which	which	PRON
ap-5918	113	21	is	be	AUX
ap-5918	113	22	a	a	DET
ap-5918	113	23	hermitian	hermitian	ADJ
ap-5918	113	24	operator	operator	NOUN
ap-5918	113	25	i(t	i(t	NOUN
ap-5918	113	26	)	)	PUNCT
ap-5918	113	27	=	=	SYM
ap-5918	113	28	i+(t	i+(t	NOUN
ap-5918	113	29	)	)	PUNCT
ap-5918	113	30	.	.	PUNCT
ap-5918	114	1	(	(	PUNCT
ap-5918	114	2	16	16	NUM
ap-5918	114	3	)	)	PUNCT
ap-5918	114	4	assuming	assume	VERB
ap-5918	114	5	that	that	SCONJ
ap-5918	114	6	i(t	i(t	NOUN
ap-5918	114	7	)	)	PUNCT
ap-5918	114	8	=	=	PUNCT
ap-5918	114	9	a1(t)px	a1(t)px	VERB
ap-5918	114	10	+	+	ADV
ap-5918	114	11	b1(t)x+a2(t)py	b1(t)x+a2(t)py	VERB
ap-5918	114	12	+	+	ADV
ap-5918	114	13	b2(t)y	b2(t)y	ADV
ap-5918	114	14	+	+	ADJ
ap-5918	114	15	c(t	c(t	NOUN
ap-5918	114	16	)	)	PUNCT
ap-5918	114	17	,	,	PUNCT
ap-5918	114	18	(	(	PUNCT
ap-5918	114	19	17	17	NUM
ap-5918	114	20	)	)	PUNCT
ap-5918	114	21	with	with	ADP
ap-5918	114	22	a1(t	a1(t	PROPN
ap-5918	114	23	)	)	PUNCT
ap-5918	114	24	,	,	PUNCT
ap-5918	114	25	b1(t	b1(t	PROPN
ap-5918	114	26	)	)	PUNCT
ap-5918	114	27	,	,	PUNCT
ap-5918	114	28	a2(t	a2(t	PROPN
ap-5918	114	29	)	)	PUNCT
ap-5918	114	30	,	,	PUNCT
ap-5918	114	31	b2(t	b2(t	PROPN
ap-5918	114	32	)	)	PUNCT
ap-5918	114	33	,	,	PUNCT
ap-5918	114	34	c(t	c(t	PROPN
ap-5918	114	35	)	)	PUNCT
ap-5918	114	36	are	be	AUX
ap-5918	114	37	time	time	NOUN
ap-5918	114	38	-	-	PUNCT
ap-5918	114	39	dependent	dependent	ADJ
ap-5918	114	40	matrices	matrix	NOUN
ap-5918	114	41	.	.	PUNCT
ap-5918	115	1	the	the	DET
ap-5918	115	2	substitution	substitution	NOUN
ap-5918	115	3	of	of	ADP
ap-5918	115	4	eqs.(17	eqs.(17	NOUN
ap-5918	115	5	,	,	PUNCT
ap-5918	115	6	11	11	NUM
ap-5918	115	7	)	)	PUNCT
ap-5918	115	8	into	into	ADP
ap-5918	115	9	eq.(14	eq.(14	NOUN
ap-5918	115	10	)	)	PUNCT
ap-5918	115	11	and	and	CCONJ
ap-5918	115	12	using	use	VERB
ap-5918	115	13	the	the	DET
ap-5918	115	14	properties	property	NOUN
ap-5918	115	15	of	of	ADP
ap-5918	115	16	the	the	DET
ap-5918	115	17	commutation	commutation	NOUN
ap-5918	115	18	relations	relation	NOUN
ap-5918	115	19	lead	lead	VERB
ap-5918	115	20	to	to	ADP
ap-5918	115	21	[	[	X
ap-5918	115	22	i	i	PROPN
ap-5918	115	23	,	,	PUNCT
ap-5918	115	24	hnc	hnc	PROPN
ap-5918	115	25	]	]	X
ap-5918	116	1	+	+	CCONJ
ap-5918	117	1	i	i	PRON
ap-5918	117	2	∂i	∂i	PROPN
ap-5918	117	3	∂t	∂t	PROPN
ap-5918	118	1	=	=	PUNCT
ap-5918	119	1	[	[	X
ap-5918	119	2	a1px	a1px	X
ap-5918	119	3	,	,	PUNCT
ap-5918	119	4	hnc	hnc	PROPN
ap-5918	119	5	]	]	PUNCT
ap-5918	120	1	+	+	CCONJ
ap-5918	120	2	[	[	X
ap-5918	120	3	b1x	b1x	PROPN
ap-5918	120	4	,	,	PUNCT
ap-5918	120	5	hnc	hnc	NOUN
ap-5918	120	6	]	]	PUNCT
ap-5918	120	7	+	+	CCONJ
ap-5918	120	8	[	[	X
ap-5918	120	9	a2py	a2py	X
ap-5918	120	10	,	,	PUNCT
ap-5918	120	11	hnc	hnc	PROPN
ap-5918	120	12	]	]	PUNCT
ap-5918	120	13	+	+	CCONJ
ap-5918	121	1	[	[	X
ap-5918	121	2	b2y	b2y	PROPN
ap-5918	121	3	,	,	PUNCT
ap-5918	121	4	hnc	hnc	NOUN
ap-5918	121	5	]	]	PUNCT
ap-5918	122	1	+	+	CCONJ
ap-5918	123	1	[	[	X
ap-5918	123	2	c	c	X
ap-5918	123	3	,	,	PUNCT
ap-5918	123	4	hnc	hnc	NOUN
ap-5918	123	5	]	]	X
ap-5918	124	1	+	+	CCONJ
ap-5918	125	1	i	i	PRON
ap-5918	125	2	∂i	∂i	PROPN
ap-5918	125	3	∂t	∂t	PROPN
ap-5918	125	4	=	=	SYM
ap-5918	125	5	0	0	PROPN
ap-5918	125	6	,	,	PUNCT
ap-5918	125	7	(	(	PUNCT
ap-5918	125	8	18	18	NUM
ap-5918	125	9	)	)	PUNCT
ap-5918	125	10	for	for	ADP
ap-5918	125	11	simplicity	simplicity	NOUN
ap-5918	125	12	,	,	PUNCT
ap-5918	125	13	we	we	PRON
ap-5918	125	14	take	take	VERB
ap-5918	125	15	fθ(t	fθ(t	PUNCT
ap-5918	125	16	)	)	PUNCT
ap-5918	125	17	=	=	SYM
ap-5918	126	1	1	1	NUM
ap-5918	126	2	+	+	NUM
ap-5918	126	3	eb	eb	PROPN
ap-5918	126	4	4	4	NUM
ap-5918	126	5	θeγt	θeγt	NOUN
ap-5918	126	6	and	and	CCONJ
ap-5918	126	7	fη(t	fη(t	NOUN
ap-5918	126	8	)	)	PUNCT
ap-5918	127	1	=	=	PUNCT
ap-5918	127	2	eb	eb	PROPN
ap-5918	127	3	2	2	NUM
ap-5918	127	4	+	+	SYM
ap-5918	127	5	η	η	PROPN
ap-5918	127	6	2e	2e	PROPN
ap-5918	127	7	−γt	−γt	PROPN
ap-5918	127	8	,	,	PUNCT
ap-5918	127	9	which	which	PRON
ap-5918	127	10	are	be	AUX
ap-5918	127	11	not	not	PART
ap-5918	127	12	matrices	matrix	NOUN
ap-5918	127	13	,	,	PUNCT
ap-5918	127	14	then	then	ADV
ap-5918	127	15	we	we	PRON
ap-5918	127	16	have	have	VERB
ap-5918	127	17	[	[	X
ap-5918	127	18	a1	a1	NOUN
ap-5918	127	19	,	,	PUNCT
ap-5918	127	20	α1fθ	α1fθ	NUM
ap-5918	127	21	]	]	PUNCT
ap-5918	127	22	p2	p2	X
ap-5918	127	23	x	x	PUNCT
ap-5918	128	1	+	+	PUNCT
ap-5918	128	2	[	[	X
ap-5918	128	3	a2	a2	NOUN
ap-5918	128	4	,	,	PUNCT
ap-5918	128	5	α2fθ	α2fθ	PUNCT
ap-5918	128	6	]	]	PUNCT
ap-5918	128	7	p2	p2	PROPN
ap-5918	128	8	y	y	PROPN
ap-5918	128	9	−	−	PROPN
ap-5918	129	1	[	[	X
ap-5918	129	2	b1	b1	NOUN
ap-5918	129	3	,	,	PUNCT
ap-5918	129	4	α2fη]x2	α2fη]x2	PUNCT
ap-5918	129	5	+	+	PUNCT
ap-5918	130	1	[	[	X
ap-5918	130	2	b2	b2	NOUN
ap-5918	130	3	,	,	PUNCT
ap-5918	130	4	α1fη	α1fη	NOUN
ap-5918	130	5	]	]	PUNCT
ap-5918	130	6	y2	y2	NOUN
ap-5918	130	7	+	+	CCONJ
ap-5918	130	8	{	{	PUNCT
ap-5918	130	9	[	[	X
ap-5918	130	10	a1	a1	NOUN
ap-5918	130	11	,	,	PUNCT
ap-5918	130	12	α2fθ	α2fθ	PUNCT
ap-5918	130	13	]	]	PUNCT
ap-5918	131	1	+	+	CCONJ
ap-5918	131	2	[	[	X
ap-5918	131	3	a2	a2	NOUN
ap-5918	131	4	,	,	PUNCT
ap-5918	131	5	α1fθ	α1fθ	NUM
ap-5918	131	6	]	]	PUNCT
ap-5918	131	7	}	}	PUNCT
ap-5918	131	8	pxpy	pxpy	VERB
ap-5918	132	1	+	+	CCONJ
ap-5918	132	2	{	{	PUNCT
ap-5918	132	3	[	[	X
ap-5918	132	4	a1	a1	NOUN
ap-5918	132	5	,	,	PUNCT
ap-5918	132	6	α1fη	α1fη	NOUN
ap-5918	132	7	]	]	PUNCT
ap-5918	133	1	+	+	CCONJ
ap-5918	133	2	[	[	X
ap-5918	133	3	b2	b2	NOUN
ap-5918	133	4	,	,	PUNCT
ap-5918	133	5	α1fθ	α1fθ	NUM
ap-5918	133	6	]	]	PUNCT
ap-5918	133	7	}	}	PUNCT
ap-5918	133	8	ypx	ypx	NOUN
ap-5918	133	9	+	+	CCONJ
ap-5918	133	10	{	{	PUNCT
ap-5918	133	11	[	[	X
ap-5918	133	12	a1	a1	NOUN
ap-5918	133	13	,	,	PUNCT
ap-5918	133	14	βm	βm	VERB
ap-5918	133	15	]	]	X
ap-5918	134	1	+	+	CCONJ
ap-5918	134	2	[	[	X
ap-5918	134	3	c	c	X
ap-5918	134	4	,	,	PUNCT
ap-5918	134	5	α1fθ	α1fθ	NUM
ap-5918	134	6	]	]	PUNCT
ap-5918	135	1	+	+	CCONJ
ap-5918	135	2	i∂a1	i∂a1	PROPN
ap-5918	135	3	∂t	∂t	PROPN
ap-5918	135	4	}	}	PUNCT
ap-5918	135	5	px	px	PROPN
ap-5918	135	6	+	+	CCONJ
ap-5918	135	7	{	{	PUNCT
ap-5918	135	8	[	[	X
ap-5918	135	9	a2	a2	NOUN
ap-5918	135	10	,	,	PUNCT
ap-5918	135	11	βm	βm	VERB
ap-5918	135	12	]	]	X
ap-5918	135	13	+	+	CCONJ
ap-5918	136	1	[	[	X
ap-5918	136	2	c	c	X
ap-5918	136	3	,	,	PUNCT
ap-5918	136	4	α2fθ	α2fθ	PUNCT
ap-5918	136	5	]	]	PUNCT
ap-5918	137	1	+	+	CCONJ
ap-5918	137	2	∂a2	∂a2	PROPN
ap-5918	137	3	∂t	∂t	PROPN
ap-5918	137	4	}	}	PUNCT
ap-5918	137	5	py	py	PROPN
ap-5918	137	6	+	+	CCONJ
ap-5918	137	7	{	{	PUNCT
ap-5918	137	8	[	[	X
ap-5918	137	9	b1	b1	NOUN
ap-5918	137	10	,	,	PUNCT
ap-5918	137	11	βm]−	βm]−	PROPN
ap-5918	138	1	[	[	X
ap-5918	138	2	c	c	NOUN
ap-5918	138	3	,	,	PUNCT
ap-5918	138	4	α2fη	α2fη	X
ap-5918	138	5	]	]	X
ap-5918	139	1	+	+	CCONJ
ap-5918	139	2	i∂b1	i∂b1	PROPN
ap-5918	139	3	∂t	∂t	PROPN
ap-5918	139	4	}	}	PUNCT
ap-5918	139	5	x+	x+	PUNCT
ap-5918	139	6	{	{	PUNCT
ap-5918	139	7	[	[	X
ap-5918	139	8	b2	b2	NOUN
ap-5918	139	9	,	,	PUNCT
ap-5918	139	10	βm	βm	VERB
ap-5918	139	11	]	]	X
ap-5918	139	12	+	+	CCONJ
ap-5918	140	1	[	[	X
ap-5918	140	2	c	c	X
ap-5918	140	3	,	,	PUNCT
ap-5918	140	4	α1fη	α1fη	NOUN
ap-5918	140	5	]	]	PUNCT
ap-5918	140	6	+	+	NUM
ap-5918	140	7	i∂b2	i∂b2	NUM
ap-5918	140	8	∂t	∂t	PROPN
ap-5918	140	9	}	}	PUNCT
ap-5918	140	10	y	y	PROPN
ap-5918	141	1	+	+	CCONJ
ap-5918	141	2	{	{	PUNCT
ap-5918	141	3	−	−	PROPN
ap-5918	141	4	[	[	X
ap-5918	141	5	a1	a1	NOUN
ap-5918	141	6	,	,	PUNCT
ap-5918	141	7	α2fη	α2fη	X
ap-5918	141	8	]	]	PUNCT
ap-5918	142	1	+	+	CCONJ
ap-5918	142	2	[	[	X
ap-5918	142	3	b1	b1	NOUN
ap-5918	142	4	,	,	PUNCT
ap-5918	142	5	α1fθ]}xpx	α1fθ]}xpx	ADV
ap-5918	142	6	+	+	CCONJ
ap-5918	142	7	{	{	PUNCT
ap-5918	142	8	[	[	X
ap-5918	142	9	b1	b1	NOUN
ap-5918	142	10	,	,	PUNCT
ap-5918	142	11	α2fθ]−	α2fθ]−	PROPN
ap-5918	142	12	[	[	X
ap-5918	142	13	a2	a2	NOUN
ap-5918	142	14	,	,	PUNCT
ap-5918	142	15	α2fη]}xpy	α2fη]}xpy	NOUN
ap-5918	142	16	+	+	CCONJ
ap-5918	142	17	{	{	PUNCT
ap-5918	142	18	[	[	X
ap-5918	142	19	b1	b1	NOUN
ap-5918	142	20	,	,	PUNCT
ap-5918	142	21	α1fη]−	α1fη]−	PROPN
ap-5918	143	1	[	[	X
ap-5918	143	2	b2	b2	NOUN
ap-5918	143	3	,	,	PUNCT
ap-5918	143	4	α2fη]}xy	α2fη]}xy	NOUN
ap-5918	143	5	+	+	CCONJ
ap-5918	143	6	{	{	PUNCT
ap-5918	143	7	[	[	X
ap-5918	143	8	a2	a2	NOUN
ap-5918	143	9	,	,	PUNCT
ap-5918	143	10	α1fη	α1fη	NOUN
ap-5918	143	11	]	]	PUNCT
ap-5918	143	12	+	+	CCONJ
ap-5918	144	1	[	[	X
ap-5918	144	2	b2	b2	NOUN
ap-5918	144	3	,	,	PUNCT
ap-5918	144	4	α2fθ	α2fθ	NUM
ap-5918	144	5	]	]	PUNCT
ap-5918	144	6	}	}	PUNCT
ap-5918	144	7	ypy	ypy	PROPN
ap-5918	144	8	+	+	ADJ
ap-5918	144	9	ia1α2fη	ia1α2fη	NOUN
ap-5918	144	10	+	+	X
ap-5918	144	11	ib1α1fθ	ib1α1fθ	VERB
ap-5918	144	12	−	−	NOUN
ap-5918	144	13	ia2α1fη	ia2α1fη	NOUN
ap-5918	144	14	+	+	CCONJ
ap-5918	144	15	ib2α2fθ	ib2α2fθ	ADJ
ap-5918	144	16	−	−	NOUN
ap-5918	144	17	i	i	PRON
ap-5918	145	1	[	[	X
ap-5918	145	2	b1	b1	NOUN
ap-5918	145	3	,	,	PUNCT
ap-5918	145	4	α1fθ]−	α1fθ]−	PROPN
ap-5918	145	5	i	i	PRON
ap-5918	146	1	[	[	X
ap-5918	146	2	b2	b2	NOUN
ap-5918	146	3	,	,	PUNCT
ap-5918	146	4	α2fθ	α2fθ	PUNCT
ap-5918	146	5	]	]	PUNCT
ap-5918	147	1	+	+	CCONJ
ap-5918	148	1	[	[	X
ap-5918	148	2	c	c	X
ap-5918	148	3	,	,	PUNCT
ap-5918	148	4	βm	βm	VERB
ap-5918	148	5	]	]	X
ap-5918	148	6	+	+	NUM
ap-5918	148	7	i∂c∂t	i∂c∂t	NOUN
ap-5918	148	8	=	=	PUNCT
ap-5918	148	9	0	0	NUM
ap-5918	148	10	.	.	PUNCT
ap-5918	149	1	(	(	PUNCT
ap-5918	149	2	19	19	NUM
ap-5918	149	3	)	)	PUNCT
ap-5918	149	4	then	then	ADV
ap-5918	149	5	,	,	PUNCT
ap-5918	149	6	to	to	PART
ap-5918	149	7	satisfy	satisfy	VERB
ap-5918	149	8	eq.(14	eq.(14	NOUN
ap-5918	149	9	)	)	PUNCT
ap-5918	149	10	,	,	PUNCT
ap-5918	149	11	and	and	CCONJ
ap-5918	149	12	always	always	ADV
ap-5918	149	13	taking	take	VERB
ap-5918	149	14	advantage	advantage	NOUN
ap-5918	149	15	of	of	ADP
ap-5918	149	16	the	the	DET
ap-5918	149	17	properties	property	NOUN
ap-5918	149	18	of	of	ADP
ap-5918	149	19	commutation	commutation	NOUN
ap-5918	149	20	relations	relation	NOUN
ap-5918	149	21	,	,	PUNCT
ap-5918	149	22	with	with	ADP
ap-5918	149	23	pipj	pipj	NOUN
ap-5918	149	24	=	=	SYM
ap-5918	149	25	pjpi	pjpi	NOUN
ap-5918	149	26	,	,	PUNCT
ap-5918	149	27	xipj	xipj	NOUN
ap-5918	149	28	=	=	PUNCT
ap-5918	149	29	pjxi	pjxi	NOUN
ap-5918	149	30	if	if	SCONJ
ap-5918	149	31	i	i	PRON
ap-5918	149	32	6	6	NUM
ap-5918	149	33	=	=	SYM
ap-5918	149	34	j	j	X
ap-5918	149	35	∈{1,2	∈{1,2	NOUN
ap-5918	149	36	}	}	PUNCT
ap-5918	149	37	,	,	PUNCT
ap-5918	149	38	else	else	ADV
ap-5918	149	39	pxx	pxx	NOUN
ap-5918	150	1	=	=	PROPN
ap-5918	150	2	xpx	xpx	PROPN
ap-5918	151	1	−	−	PROPN
ap-5918	151	2	i	i	PRON
ap-5918	151	3	,	,	PUNCT
ap-5918	151	4	pyy	pyy	PROPN
ap-5918	151	5	=	=	SYM
ap-5918	151	6	ypy	ypy	PROPN
ap-5918	151	7	−	−	PROPN
ap-5918	151	8	i.	i.	NOUN
ap-5918	152	1	we	we	PRON
ap-5918	152	2	demand	demand	VERB
ap-5918	152	3	[	[	PUNCT
ap-5918	152	4	a1	a1	NOUN
ap-5918	152	5	,	,	PUNCT
ap-5918	152	6	α1fθ	α1fθ	NUM
ap-5918	152	7	]	]	PUNCT
ap-5918	152	8	=	=	SYM
ap-5918	152	9	0	0	NUM
ap-5918	152	10	,	,	PUNCT
ap-5918	152	11	(	(	PUNCT
ap-5918	152	12	20	20	NUM
ap-5918	152	13	)	)	PUNCT
ap-5918	153	1	[	[	X
ap-5918	153	2	a2	a2	NOUN
ap-5918	153	3	,	,	PUNCT
ap-5918	153	4	α2fθ	α2fθ	PUNCT
ap-5918	153	5	]	]	PUNCT
ap-5918	153	6	=	=	SYM
ap-5918	153	7	0	0	NUM
ap-5918	153	8	,	,	PUNCT
ap-5918	153	9	(	(	PUNCT
ap-5918	153	10	21	21	NUM
ap-5918	153	11	)	)	PUNCT
ap-5918	154	1	[	[	X
ap-5918	154	2	b1	b1	NOUN
ap-5918	154	3	,	,	PUNCT
ap-5918	154	4	α2fη	α2fη	X
ap-5918	154	5	]	]	PUNCT
ap-5918	154	6	=	=	SYM
ap-5918	154	7	0	0	NUM
ap-5918	154	8	,	,	PUNCT
ap-5918	154	9	(	(	PUNCT
ap-5918	154	10	22	22	NUM
ap-5918	154	11	)	)	PUNCT
ap-5918	155	1	[	[	X
ap-5918	155	2	b2	b2	NOUN
ap-5918	155	3	,	,	PUNCT
ap-5918	155	4	α1fη	α1fη	NOUN
ap-5918	155	5	]	]	PUNCT
ap-5918	155	6	=	=	SYM
ap-5918	155	7	0	0	NUM
ap-5918	155	8	,	,	PUNCT
ap-5918	155	9	(	(	PUNCT
ap-5918	155	10	23	23	NUM
ap-5918	155	11	)	)	PUNCT
ap-5918	156	1	[	[	X
ap-5918	156	2	a1	a1	NOUN
ap-5918	156	3	,	,	PUNCT
ap-5918	156	4	β]m+	β]m+	PROPN
ap-5918	157	1	[	[	X
ap-5918	157	2	c	c	X
ap-5918	157	3	,	,	PUNCT
ap-5918	157	4	α1fθ	α1fθ	NUM
ap-5918	157	5	]	]	PUNCT
ap-5918	158	1	+	+	CCONJ
ap-5918	158	2	i	i	PRON
ap-5918	158	3	∂a1	∂a1	VERB
ap-5918	158	4	∂t	∂t	PROPN
ap-5918	158	5	=	=	SYM
ap-5918	158	6	0	0	PROPN
ap-5918	158	7	,	,	PUNCT
ap-5918	158	8	(	(	PUNCT
ap-5918	158	9	24	24	NUM
ap-5918	158	10	)	)	PUNCT
ap-5918	159	1	[	[	X
ap-5918	159	2	a2	a2	PROPN
ap-5918	159	3	,	,	PUNCT
ap-5918	159	4	β]m+	β]m+	PROPN
ap-5918	160	1	[	[	X
ap-5918	160	2	c	c	X
ap-5918	160	3	,	,	PUNCT
ap-5918	160	4	α2fθ	α2fθ	PUNCT
ap-5918	160	5	]	]	PUNCT
ap-5918	161	1	+	+	CCONJ
ap-5918	161	2	i	i	PRON
ap-5918	161	3	∂a2	∂a2	VERB
ap-5918	161	4	∂t	∂t	PROPN
ap-5918	161	5	=	=	SYM
ap-5918	161	6	0	0	PROPN
ap-5918	161	7	,	,	PUNCT
ap-5918	161	8	(	(	PUNCT
ap-5918	161	9	25	25	NUM
ap-5918	161	10	)	)	PUNCT
ap-5918	162	1	[	[	X
ap-5918	162	2	b1	b1	NOUN
ap-5918	162	3	,	,	PUNCT
ap-5918	162	4	β]m−	β]m−	PROPN
ap-5918	163	1	[	[	X
ap-5918	163	2	c	c	NOUN
ap-5918	163	3	,	,	PUNCT
ap-5918	163	4	α2fη	α2fη	X
ap-5918	163	5	]	]	PUNCT
ap-5918	164	1	+	+	CCONJ
ap-5918	164	2	i	i	PRON
ap-5918	164	3	∂b1	∂b1	PROPN
ap-5918	164	4	∂t	∂t	PROPN
ap-5918	164	5	=	=	SYM
ap-5918	164	6	0	0	PROPN
ap-5918	164	7	,	,	PUNCT
ap-5918	164	8	(	(	PUNCT
ap-5918	164	9	26	26	NUM
ap-5918	164	10	)	)	PUNCT
ap-5918	165	1	[	[	X
ap-5918	165	2	b2	b2	NOUN
ap-5918	165	3	,	,	PUNCT
ap-5918	165	4	β]m+	β]m+	PROPN
ap-5918	166	1	[	[	X
ap-5918	166	2	c	c	NOUN
ap-5918	166	3	,	,	PUNCT
ap-5918	166	4	α1fη	α1fη	NOUN
ap-5918	166	5	]	]	PUNCT
ap-5918	167	1	+	+	CCONJ
ap-5918	167	2	i	i	PRON
ap-5918	167	3	∂b2	∂b2	VERB
ap-5918	167	4	∂t	∂t	PROPN
ap-5918	167	5	=	=	SYM
ap-5918	167	6	0	0	PROPN
ap-5918	167	7	,	,	PUNCT
ap-5918	167	8	(	(	PUNCT
ap-5918	167	9	27	27	NUM
ap-5918	167	10	)	)	PUNCT
ap-5918	168	1	[	[	X
ap-5918	168	2	a1	a1	NOUN
ap-5918	168	3	,	,	PUNCT
ap-5918	168	4	α2fθ	α2fθ	PUNCT
ap-5918	168	5	]	]	PUNCT
ap-5918	169	1	+	+	CCONJ
ap-5918	169	2	[	[	X
ap-5918	169	3	a2	a2	NOUN
ap-5918	169	4	,	,	PUNCT
ap-5918	169	5	α1fθ	α1fθ	NUM
ap-5918	169	6	]	]	PUNCT
ap-5918	169	7	=	=	SYM
ap-5918	169	8	0	0	NUM
ap-5918	169	9	,	,	PUNCT
ap-5918	169	10	(	(	PUNCT
ap-5918	169	11	28	28	NUM
ap-5918	169	12	)	)	PUNCT
ap-5918	170	1	[	[	X
ap-5918	170	2	b1	b1	NOUN
ap-5918	170	3	,	,	PUNCT
ap-5918	170	4	α1fθ]−	α1fθ]−	PROPN
ap-5918	170	5	[	[	X
ap-5918	170	6	a1	a1	NOUN
ap-5918	170	7	,	,	PUNCT
ap-5918	170	8	α2fη	α2fη	X
ap-5918	170	9	]	]	PUNCT
ap-5918	170	10	=	=	SYM
ap-5918	170	11	0	0	NUM
ap-5918	170	12	,	,	PUNCT
ap-5918	170	13	(	(	PUNCT
ap-5918	170	14	29	29	NUM
ap-5918	170	15	)	)	PUNCT
ap-5918	171	1	[	[	X
ap-5918	171	2	b1	b1	NOUN
ap-5918	171	3	,	,	PUNCT
ap-5918	171	4	α2fθ]−	α2fθ]−	PROPN
ap-5918	171	5	[	[	X
ap-5918	171	6	a2	a2	PROPN
ap-5918	171	7	,	,	PUNCT
ap-5918	171	8	α2fη	α2fη	X
ap-5918	171	9	]	]	PUNCT
ap-5918	171	10	=	=	SYM
ap-5918	171	11	0	0	NUM
ap-5918	171	12	,	,	PUNCT
ap-5918	171	13	(	(	PUNCT
ap-5918	171	14	30	30	NUM
ap-5918	171	15	)	)	PUNCT
ap-5918	172	1	[	[	X
ap-5918	172	2	b1	b1	NOUN
ap-5918	172	3	,	,	PUNCT
ap-5918	172	4	α1fη]−	α1fη]−	PROPN
ap-5918	173	1	[	[	X
ap-5918	173	2	b2	b2	NOUN
ap-5918	173	3	,	,	PUNCT
ap-5918	173	4	α2fη	α2fη	X
ap-5918	173	5	]	]	PUNCT
ap-5918	173	6	=	=	SYM
ap-5918	173	7	0	0	NUM
ap-5918	173	8	,	,	PUNCT
ap-5918	173	9	(	(	PUNCT
ap-5918	173	10	31	31	NUM
ap-5918	173	11	)	)	PUNCT
ap-5918	174	1	[	[	X
ap-5918	174	2	b2	b2	NOUN
ap-5918	174	3	,	,	PUNCT
ap-5918	174	4	α1fθ	α1fθ	NUM
ap-5918	174	5	]	]	PUNCT
ap-5918	175	1	+	+	CCONJ
ap-5918	175	2	[	[	X
ap-5918	175	3	a1	a1	NOUN
ap-5918	175	4	,	,	PUNCT
ap-5918	175	5	α1fη	α1fη	NOUN
ap-5918	175	6	]	]	PUNCT
ap-5918	175	7	=	=	SYM
ap-5918	175	8	0	0	NUM
ap-5918	175	9	,	,	PUNCT
ap-5918	175	10	(	(	PUNCT
ap-5918	175	11	32	32	NUM
ap-5918	175	12	)	)	PUNCT
ap-5918	175	13	114	114	NUM
ap-5918	175	14	vol	vol	NOUN
ap-5918	175	15	.	.	PUNCT
ap-5918	176	1	60	60	NUM
ap-5918	176	2	no	no	NOUN
ap-5918	176	3	.	.	PUNCT
ap-5918	177	1	2/2020	2/2020	NUM
ap-5918	177	2	analytical	analytical	ADJ
ap-5918	177	3	solution	solution	NOUN
ap-5918	177	4	of	of	ADP
ap-5918	177	5	(	(	PUNCT
ap-5918	177	6	2	2	NUM
ap-5918	177	7	+	+	NOUN
ap-5918	177	8	1	1	NUM
ap-5918	177	9	)	)	PUNCT
ap-5918	177	10	dimensional	dimensional	ADJ
ap-5918	177	11	dirac	dirac	NOUN
ap-5918	177	12	equation	equation	NOUN
ap-5918	177	13	.	.	PUNCT
ap-5918	177	14	.	.	PUNCT
ap-5918	177	15	.	.	PUNCT
ap-5918	178	1	[	[	X
ap-5918	178	2	a2	a2	PROPN
ap-5918	178	3	,	,	PUNCT
ap-5918	178	4	α1fη	α1fη	NOUN
ap-5918	178	5	]	]	PUNCT
ap-5918	179	1	+	+	CCONJ
ap-5918	179	2	[	[	X
ap-5918	179	3	b2	b2	NOUN
ap-5918	179	4	,	,	PUNCT
ap-5918	179	5	α2fθ	α2fθ	PUNCT
ap-5918	179	6	]	]	PUNCT
ap-5918	179	7	=	=	SYM
ap-5918	179	8	0	0	NUM
ap-5918	179	9	,	,	PUNCT
ap-5918	179	10	(	(	PUNCT
ap-5918	179	11	33	33	NUM
ap-5918	179	12	)	)	PUNCT
ap-5918	179	13	ia1α2fη	ia1α2fη	NOUN
ap-5918	179	14	+	+	X
ap-5918	179	15	ib1α1fθ	ib1α1fθ	VERB
ap-5918	179	16	−	−	NOUN
ap-5918	179	17	ia2α1fη	ia2α1fη	NOUN
ap-5918	179	18	+	+	CCONJ
ap-5918	179	19	ib2α2fθ	ib2α2fθ	ADJ
ap-5918	179	20	−	−	NOUN
ap-5918	180	1	i	i	PRON
ap-5918	180	2	{	{	PUNCT
ap-5918	180	3	[	[	X
ap-5918	180	4	b1	b1	NOUN
ap-5918	180	5	,	,	PUNCT
ap-5918	180	6	α1fθ	α1fθ	NUM
ap-5918	180	7	]	]	PUNCT
ap-5918	180	8	+	+	CCONJ
ap-5918	181	1	[	[	X
ap-5918	181	2	b2	b2	NOUN
ap-5918	181	3	,	,	PUNCT
ap-5918	181	4	α2fθ]}+	α2fθ]}+	X
ap-5918	182	1	[	[	X
ap-5918	182	2	c	c	X
ap-5918	182	3	,	,	PUNCT
ap-5918	182	4	βm	βm	VERB
ap-5918	182	5	]	]	X
ap-5918	183	1	+	+	CCONJ
ap-5918	183	2	i	i	PRON
ap-5918	183	3	∂c	∂c	VERB
ap-5918	184	1	∂t	∂t	PROPN
ap-5918	184	2	=	=	NOUN
ap-5918	184	3	0	0	PROPN
ap-5918	184	4	.	.	PUNCT
ap-5918	185	1	(	(	PUNCT
ap-5918	185	2	34	34	NUM
ap-5918	185	3	)	)	PUNCT
ap-5918	185	4	from	from	ADP
ap-5918	185	5	the	the	DET
ap-5918	185	6	relations	relation	NOUN
ap-5918	185	7	(	(	PUNCT
ap-5918	185	8	20	20	NUM
ap-5918	185	9	23	23	NUM
ap-5918	185	10	)	)	PUNCT
ap-5918	185	11	,	,	PUNCT
ap-5918	185	12	and	and	CCONJ
ap-5918	185	13	as	as	ADV
ap-5918	185	14	long	long	ADV
ap-5918	185	15	as	as	ADP
ap-5918	185	16	from	from	ADP
ap-5918	185	17	eq.(20	eq.(20	PROPN
ap-5918	185	18	)	)	PUNCT
ap-5918	185	19	,	,	PUNCT
ap-5918	185	20	we	we	PRON
ap-5918	185	21	have	have	VERB
ap-5918	185	22	a1	a1	NOUN
ap-5918	185	23	=	=	SYM
ap-5918	185	24	a0(t	a0(t	PROPN
ap-5918	185	25	)	)	PUNCT
ap-5918	185	26	+	+	NUM
ap-5918	185	27	a1(t)α1	a1(t)α1	NOUN
ap-5918	185	28	+	+	CCONJ
ap-5918	185	29	a2(t)α2	a2(t)α2	X
ap-5918	185	30	1	1	NUM
ap-5918	185	31	+	+	CCONJ
ap-5918	185	32	a3(t)α3	a3(t)α3	X
ap-5918	185	33	1	1	NUM
ap-5918	185	34	+	+	NUM
ap-5918	185	35	a4(t)α4	a4(t)α4	NOUN
ap-5918	185	36	1	1	NUM
ap-5918	185	37	+	+	CCONJ
ap-5918	185	38	...	...	PUNCT
ap-5918	186	1	=	=	PUNCT
ap-5918	186	2	a	a	DET
ap-5918	186	3	′	′	NUM
ap-5918	186	4	0(t	0(t	NUM
ap-5918	186	5	)	)	PUNCT
ap-5918	187	1	+	+	CCONJ
ap-5918	187	2	a	a	DET
ap-5918	187	3	′	′	NUM
ap-5918	187	4	1(t)α1	1(t)α1	NUM
ap-5918	187	5	,	,	PUNCT
ap-5918	187	6	with	with	ADP
ap-5918	187	7	a	a	DET
ap-5918	187	8	′	′	NUM
ap-5918	187	9	i(t	i(t	NOUN
ap-5918	187	10	)	)	PUNCT
ap-5918	187	11	=	=	SYM
ap-5918	187	12	ai(t	ai(t	NOUN
ap-5918	187	13	)	)	PUNCT
ap-5918	187	14	,	,	PUNCT
ap-5918	187	15	(	(	PUNCT
ap-5918	187	16	35	35	NUM
ap-5918	187	17	)	)	PUNCT
ap-5918	187	18	therefore	therefore	ADV
ap-5918	187	19	,	,	PUNCT
ap-5918	187	20	we	we	PRON
ap-5918	187	21	obtain	obtain	VERB
ap-5918	187	22	a1	a1	NOUN
ap-5918	187	23	=	=	NOUN
ap-5918	187	24	a1	a1	NOUN
ap-5918	187	25	+	+	CCONJ
ap-5918	187	26	a2α1	a2α1	ADJ
ap-5918	187	27	,	,	PUNCT
ap-5918	187	28	(	(	PUNCT
ap-5918	187	29	36	36	NUM
ap-5918	187	30	)	)	PUNCT
ap-5918	187	31	a2	a2	PROPN
ap-5918	187	32	=	=	PUNCT
ap-5918	187	33	a3	a3	PROPN
ap-5918	187	34	+	+	CCONJ
ap-5918	187	35	a4α2	a4α2	NOUN
ap-5918	187	36	,	,	PUNCT
ap-5918	187	37	(	(	PUNCT
ap-5918	187	38	37	37	NUM
ap-5918	187	39	)	)	PUNCT
ap-5918	187	40	b1	b1	NOUN
ap-5918	187	41	=	=	SYM
ap-5918	187	42	b1	b1	PROPN
ap-5918	187	43	+	+	CCONJ
ap-5918	187	44	b2α2	b2α2	NOUN
ap-5918	187	45	,	,	PUNCT
ap-5918	187	46	(	(	PUNCT
ap-5918	187	47	38	38	NUM
ap-5918	187	48	)	)	PUNCT
ap-5918	187	49	b2	b2	NOUN
ap-5918	187	50	=	=	PROPN
ap-5918	187	51	b3	b3	PROPN
ap-5918	187	52	+	+	CCONJ
ap-5918	187	53	b4α1	b4α1	NOUN
ap-5918	187	54	.	.	PUNCT
ap-5918	188	1	(	(	PUNCT
ap-5918	188	2	39	39	NUM
ap-5918	188	3	)	)	PUNCT
ap-5918	188	4	from	from	ADP
ap-5918	188	5	eqs.(24	eqs.(24	ADP
ap-5918	188	6	27	27	NUM
ap-5918	188	7	)	)	PUNCT
ap-5918	188	8	and	and	CCONJ
ap-5918	188	9	with	with	ADP
ap-5918	188	10	the	the	DET
ap-5918	188	11	same	same	ADJ
ap-5918	188	12	manner	manner	NOUN
ap-5918	188	13	,	,	PUNCT
ap-5918	188	14	supposing	suppose	VERB
ap-5918	188	15	that	that	SCONJ
ap-5918	188	16	c	c	PROPN
ap-5918	188	17	is	be	AUX
ap-5918	188	18	written	write	VERB
ap-5918	188	19	in	in	ADP
ap-5918	188	20	terms	term	NOUN
ap-5918	188	21	of	of	ADP
ap-5918	188	22	α1	α1	PROPN
ap-5918	188	23	,	,	PUNCT
ap-5918	188	24	α2	α2	PROPN
ap-5918	188	25	and	and	CCONJ
ap-5918	188	26	β	β	PROPN
ap-5918	188	27	as	as	SCONJ
ap-5918	188	28	follows	follow	VERB
ap-5918	188	29	c	c	NOUN
ap-5918	188	30	=	=	PROPN
ap-5918	188	31	c1	c1	PROPN
ap-5918	188	32	+	+	CCONJ
ap-5918	188	33	c2α1	c2α1	NOUN
ap-5918	188	34	+	+	CCONJ
ap-5918	188	35	c3α2	c3α2	NOUN
ap-5918	188	36	+	+	CCONJ
ap-5918	188	37	c4β	c4β	PROPN
ap-5918	188	38	,	,	PUNCT
ap-5918	188	39	(	(	PUNCT
ap-5918	188	40	40	40	NUM
ap-5918	188	41	)	)	PUNCT
ap-5918	188	42	where	where	SCONJ
ap-5918	188	43	aj	aj	PROPN
ap-5918	188	44	,	,	PUNCT
ap-5918	188	45	bj	bj	VERB
ap-5918	188	46	and	and	CCONJ
ap-5918	188	47	cj	cj	X
ap-5918	188	48	(	(	PUNCT
ap-5918	188	49	with	with	ADP
ap-5918	188	50	j	j	PROPN
ap-5918	188	51	=	=	SYM
ap-5918	188	52	1	1	PROPN
ap-5918	188	53	,	,	PUNCT
ap-5918	188	54	..	..	PUNCT
ap-5918	188	55	,	,	PUNCT
ap-5918	188	56	4	4	X
ap-5918	188	57	)	)	PUNCT
ap-5918	188	58	are	be	AUX
ap-5918	188	59	supposed	suppose	VERB
ap-5918	188	60	to	to	PART
ap-5918	188	61	be	be	AUX
ap-5918	188	62	time	time	NOUN
ap-5918	188	63	-	-	PUNCT
ap-5918	188	64	dependent	dependent	ADJ
ap-5918	188	65	arbitrary	arbitrary	ADJ
ap-5918	188	66	functions	function	NOUN
ap-5918	188	67	.	.	PUNCT
ap-5918	189	1	substituting	substitute	VERB
ap-5918	189	2	eqs.(40	eqs.(40	PROPN
ap-5918	189	3	,	,	PUNCT
ap-5918	189	4	36	36	NUM
ap-5918	189	5	)	)	PUNCT
ap-5918	189	6	into	into	ADP
ap-5918	189	7	eq.(24	eq.(24	NOUN
ap-5918	189	8	)	)	PUNCT
ap-5918	189	9	and	and	CCONJ
ap-5918	189	10	eqs.(40	eqs.(40	PROPN
ap-5918	189	11	,	,	PUNCT
ap-5918	189	12	37	37	NUM
ap-5918	189	13	)	)	PUNCT
ap-5918	189	14	into	into	ADP
ap-5918	189	15	eq.(25	eq.(25	NOUN
ap-5918	189	16	)	)	PUNCT
ap-5918	189	17	,	,	PUNCT
ap-5918	189	18	and	and	CCONJ
ap-5918	189	19	taking	take	VERB
ap-5918	189	20	into	into	ADP
ap-5918	189	21	consideration	consideration	NOUN
ap-5918	189	22	eq.(8	eq.(8	ADJ
ap-5918	189	23	)	)	PUNCT
ap-5918	189	24	,	,	PUNCT
ap-5918	189	25	yields	yield	VERB
ap-5918	189	26	∂a1	∂a1	VERB
ap-5918	190	1	∂t	∂t	PROPN
ap-5918	190	2	=	=	SYM
ap-5918	190	3	0	0	PROPN
ap-5918	190	4	,	,	PUNCT
ap-5918	190	5	∂a3	∂a3	PROPN
ap-5918	190	6	∂t	∂t	PROPN
ap-5918	190	7	=	=	SYM
ap-5918	190	8	0	0	PROPN
ap-5918	190	9	,	,	PUNCT
ap-5918	190	10	a2	a2	NOUN
ap-5918	190	11	=	=	SYM
ap-5918	190	12	a4	a4	PROPN
ap-5918	190	13	=	=	SYM
ap-5918	190	14	c2	c2	PROPN
ap-5918	190	15	=	=	SYM
ap-5918	190	16	c3	c3	PROPN
ap-5918	190	17	=	=	PROPN
ap-5918	190	18	c4	c4	NOUN
ap-5918	190	19	=	=	NOUN
ap-5918	190	20	0	0	NUM
ap-5918	190	21	,	,	PUNCT
ap-5918	190	22	(	(	PUNCT
ap-5918	190	23	41	41	NUM
ap-5918	190	24	)	)	PUNCT
ap-5918	190	25	thereafter	thereafter	ADV
ap-5918	190	26	,	,	PUNCT
ap-5918	190	27	substituting	substitute	VERB
ap-5918	190	28	eqs.(40	eqs.(40	PROPN
ap-5918	190	29	,	,	PUNCT
ap-5918	190	30	38	38	NUM
ap-5918	190	31	)	)	PUNCT
ap-5918	190	32	into	into	ADP
ap-5918	190	33	eq.(26	eq.(26	ADV
ap-5918	190	34	)	)	PUNCT
ap-5918	190	35	and	and	CCONJ
ap-5918	190	36	eqs.(40	eqs.(40	PROPN
ap-5918	190	37	,	,	PUNCT
ap-5918	190	38	39	39	NUM
ap-5918	190	39	)	)	PUNCT
ap-5918	190	40	into	into	ADP
ap-5918	190	41	eq.(27	eq.(27	PROPN
ap-5918	190	42	)	)	PUNCT
ap-5918	190	43	,	,	PUNCT
ap-5918	190	44	and	and	CCONJ
ap-5918	190	45	taking	take	VERB
ap-5918	190	46	into	into	ADP
ap-5918	190	47	consideration	consideration	NOUN
ap-5918	190	48	eq.(8	eq.(8	ADJ
ap-5918	190	49	)	)	PUNCT
ap-5918	191	1	,	,	PUNCT
ap-5918	191	2	yields	yield	VERB
ap-5918	191	3	∂b1	∂b1	PROPN
ap-5918	191	4	∂t	∂t	PROPN
ap-5918	191	5	=	=	SYM
ap-5918	191	6	0	0	PROPN
ap-5918	191	7	,	,	PUNCT
ap-5918	191	8	∂b3	∂b3	ADJ
ap-5918	191	9	∂t	∂t	PROPN
ap-5918	191	10	=	=	SYM
ap-5918	191	11	0	0	PROPN
ap-5918	191	12	,	,	PUNCT
ap-5918	191	13	b2	b2	NOUN
ap-5918	191	14	=	=	SYM
ap-5918	191	15	b4	b4	NOUN
ap-5918	191	16	=	=	SYM
ap-5918	191	17	c2	c2	PROPN
ap-5918	191	18	=	=	SYM
ap-5918	191	19	c4	c4	NOUN
ap-5918	191	20	=	=	NOUN
ap-5918	191	21	0	0	PROPN
ap-5918	191	22	.	.	PUNCT
ap-5918	192	1	(	(	PUNCT
ap-5918	192	2	42	42	NUM
ap-5918	192	3	)	)	PUNCT
ap-5918	192	4	from	from	ADP
ap-5918	192	5	the	the	DET
ap-5918	192	6	eqs.(41	eqs.(41	PROPN
ap-5918	192	7	,	,	PUNCT
ap-5918	192	8	42	42	NUM
ap-5918	192	9	)	)	PUNCT
ap-5918	192	10	we	we	PRON
ap-5918	192	11	note	note	VERB
ap-5918	192	12	that	that	SCONJ
ap-5918	192	13	a1	a1	NOUN
ap-5918	192	14	,	,	PUNCT
ap-5918	192	15	a3	a3	NOUN
ap-5918	192	16	,	,	PUNCT
ap-5918	192	17	b1	b1	NOUN
ap-5918	192	18	,	,	PUNCT
ap-5918	192	19	b3	b3	PROPN
ap-5918	192	20	are	be	AUX
ap-5918	192	21	time	time	NOUN
ap-5918	192	22	-	-	PUNCT
ap-5918	192	23	independent	independent	ADJ
ap-5918	192	24	constants	constant	NOUN
ap-5918	192	25	.	.	PUNCT
ap-5918	193	1	we	we	PRON
ap-5918	193	2	have	have	VERB
ap-5918	193	3	a1	a1	NOUN
ap-5918	193	4	=	=	PUNCT
ap-5918	193	5	a1	a1	PROPN
ap-5918	193	6	,	,	PUNCT
ap-5918	193	7	a2	a2	PROPN
ap-5918	193	8	=	=	SYM
ap-5918	193	9	a3	a3	PROPN
ap-5918	193	10	,	,	PUNCT
ap-5918	193	11	b1	b1	NOUN
ap-5918	193	12	=	=	SYM
ap-5918	193	13	b1	b1	PROPN
ap-5918	193	14	,	,	PUNCT
ap-5918	193	15	b2	b2	NOUN
ap-5918	193	16	=	=	SYM
ap-5918	193	17	b3	b3	PROPN
ap-5918	193	18	,	,	PUNCT
ap-5918	193	19	c	c	NOUN
ap-5918	193	20	=	=	PROPN
ap-5918	193	21	c1	c1	PROPN
ap-5918	193	22	.	.	PUNCT
ap-5918	194	1	(	(	PUNCT
ap-5918	194	2	43	43	NUM
ap-5918	194	3	)	)	PUNCT
ap-5918	194	4	in	in	ADP
ap-5918	194	5	addition	addition	NOUN
ap-5918	194	6	,	,	PUNCT
ap-5918	194	7	from	from	ADP
ap-5918	194	8	eqs.(30	eqs.(30	PROPN
ap-5918	194	9	,	,	PUNCT
ap-5918	194	10	32	32	NUM
ap-5918	194	11	)	)	PUNCT
ap-5918	194	12	,	,	PUNCT
ap-5918	194	13	and	and	CCONJ
ap-5918	194	14	assuming	assume	VERB
ap-5918	194	15	that	that	SCONJ
ap-5918	194	16	there	there	PRON
ap-5918	194	17	exist	exist	VERB
ap-5918	194	18	χ(t	χ(t	NOUN
ap-5918	194	19	)	)	PUNCT
ap-5918	194	20	and	and	CCONJ
ap-5918	194	21	ϕ(t	ϕ(t	NUM
ap-5918	194	22	)	)	PUNCT
ap-5918	194	23	,	,	PUNCT
ap-5918	194	24	which	which	PRON
ap-5918	194	25	are	be	AUX
ap-5918	194	26	time	time	NOUN
ap-5918	194	27	-	-	PUNCT
ap-5918	194	28	dependent	dependent	ADJ
ap-5918	194	29	matrices	matrix	NOUN
ap-5918	194	30	,	,	PUNCT
ap-5918	194	31	with	with	ADP
ap-5918	194	32	[	[	X
ap-5918	194	33	χ(t	χ(t	NOUN
ap-5918	194	34	)	)	PUNCT
ap-5918	194	35	,	,	PUNCT
ap-5918	194	36	α2	α2	PROPN
ap-5918	194	37	]	]	PUNCT
ap-5918	195	1	=	=	PUNCT
ap-5918	196	1	[	[	X
ap-5918	196	2	ϕ(t	ϕ(t	NUM
ap-5918	196	3	)	)	PUNCT
ap-5918	196	4	,	,	PUNCT
ap-5918	196	5	α1	α1	PROPN
ap-5918	196	6	]	]	PUNCT
ap-5918	196	7	=	=	SYM
ap-5918	196	8	0	0	X
ap-5918	196	9	.	.	PUNCT
ap-5918	197	1	the	the	DET
ap-5918	197	2	time	time	NOUN
ap-5918	197	3	-	-	PUNCT
ap-5918	197	4	dependency	dependency	NOUN
ap-5918	197	5	may	may	AUX
ap-5918	197	6	appear	appear	VERB
ap-5918	197	7	as	as	SCONJ
ap-5918	197	8	follows	follow	VERB
ap-5918	197	9	b1fθ	b1fθ	X
ap-5918	197	10	−	−	X
ap-5918	197	11	a3fη	a3fη	X
ap-5918	197	12	=	=	SYM
ap-5918	197	13	χ(t	χ(t	NOUN
ap-5918	197	14	)	)	PUNCT
ap-5918	197	15	b3fθ	b3fθ	X
ap-5918	197	16	+	+	CCONJ
ap-5918	197	17	a1fη	a1fη	PUNCT
ap-5918	198	1	=	=	SYM
ap-5918	198	2	ϕ(t	ϕ(t	NUM
ap-5918	198	3	)	)	PUNCT
ap-5918	198	4	.	.	PUNCT
ap-5918	199	1	(	(	PUNCT
ap-5918	199	2	44	44	NUM
ap-5918	199	3	)	)	PUNCT
ap-5918	199	4	now	now	ADV
ap-5918	199	5	,	,	PUNCT
ap-5918	199	6	substituting	substitute	VERB
ap-5918	199	7	eq.(43	eq.(43	NOUN
ap-5918	199	8	)	)	PUNCT
ap-5918	199	9	into	into	ADP
ap-5918	199	10	eq.(34	eq.(34	NOUN
ap-5918	199	11	)	)	PUNCT
ap-5918	199	12	and	and	CCONJ
ap-5918	199	13	using	use	VERB
ap-5918	199	14	eq.(44	eq.(44	NOUN
ap-5918	199	15	)	)	PUNCT
ap-5918	199	16	gives	give	VERB
ap-5918	199	17	us	we	PRON
ap-5918	199	18	∂c1	∂c1	NOUN
ap-5918	199	19	∂t	∂t	PROPN
ap-5918	199	20	=	=	SYM
ap-5918	199	21	−{a1fη	−{a1fη	PROPN
ap-5918	199	22	+	+	CCONJ
ap-5918	199	23	b3fθ}α2	b3fθ}α2	PROPN
ap-5918	199	24	−	−	NOUN
ap-5918	199	25	{	{	PUNCT
ap-5918	199	26	b1fθ	b1fθ	X
ap-5918	199	27	−	−	PROPN
ap-5918	199	28	a3fη}α1	a3fη}α1	PROPN
ap-5918	199	29	,	,	PUNCT
ap-5918	199	30	(	(	PUNCT
ap-5918	199	31	45	45	NUM
ap-5918	199	32	)	)	PUNCT
ap-5918	199	33	using	use	VERB
ap-5918	199	34	system	system	NOUN
ap-5918	199	35	of	of	ADP
ap-5918	199	36	relations	relation	NOUN
ap-5918	199	37	(	(	PUNCT
ap-5918	199	38	44	44	NUM
ap-5918	199	39	)	)	PUNCT
ap-5918	199	40	,	,	PUNCT
ap-5918	199	41	we	we	PRON
ap-5918	199	42	find	find	VERB
ap-5918	199	43	∂c1	∂c1	NOUN
ap-5918	199	44	∂t	∂t	PROPN
ap-5918	199	45	=	=	SYM
ap-5918	199	46	0	0	PROPN
ap-5918	199	47	and	and	CCONJ
ap-5918	199	48	χ	χ	X
ap-5918	199	49	=	=	SYM
ap-5918	199	50	ϕ	ϕ	X
ap-5918	199	51	=	=	SYM
ap-5918	199	52	0	0	PROPN
ap-5918	199	53	.	.	PUNCT
ap-5918	200	1	(	(	PUNCT
ap-5918	200	2	46	46	NUM
ap-5918	200	3	)	)	PUNCT
ap-5918	200	4	last	last	ADJ
ap-5918	200	5	but	but	CCONJ
ap-5918	200	6	not	not	PART
ap-5918	200	7	least	least	ADJ
ap-5918	200	8	,	,	PUNCT
ap-5918	200	9	the	the	DET
ap-5918	200	10	dynamical	dynamical	ADJ
ap-5918	200	11	invariant	invariant	ADJ
ap-5918	200	12	(	(	PUNCT
ap-5918	200	13	17	17	NUM
ap-5918	200	14	)	)	PUNCT
ap-5918	200	15	of	of	ADP
ap-5918	200	16	the	the	DET
ap-5918	200	17	time	time	NOUN
ap-5918	200	18	-	-	PUNCT
ap-5918	200	19	dependent	dependent	ADJ
ap-5918	200	20	nc	nc	PROPN
ap-5918	200	21	dirac	dirac	PROPN
ap-5918	200	22	equation	equation	NOUN
ap-5918	200	23	can	can	AUX
ap-5918	200	24	be	be	AUX
ap-5918	200	25	written	write	VERB
ap-5918	200	26	as	as	SCONJ
ap-5918	200	27	follows	follow	VERB
ap-5918	200	28	i	i	PRON
ap-5918	200	29	=	=	PUNCT
ap-5918	200	30	a1px	a1px	PUNCT
ap-5918	200	31	+	+	NUM
ap-5918	200	32	b1x+	b1x+	X
ap-5918	200	33	a3py	a3py	PROPN
ap-5918	200	34	+	+	CCONJ
ap-5918	200	35	b3y	b3y	X
ap-5918	200	36	+	+	CCONJ
ap-5918	200	37	c1	c1	PROPN
ap-5918	200	38	,	,	PUNCT
ap-5918	200	39	(	(	PUNCT
ap-5918	200	40	47	47	NUM
ap-5918	200	41	)	)	PUNCT
ap-5918	200	42	we	we	PRON
ap-5918	200	43	inferred	infer	VERB
ap-5918	200	44	that	that	SCONJ
ap-5918	200	45	eq.(14	eq.(14	NOUN
ap-5918	200	46	)	)	PUNCT
ap-5918	200	47	is	be	AUX
ap-5918	200	48	verified	verify	VERB
ap-5918	200	49	and	and	CCONJ
ap-5918	200	50	c1	c1	PROPN
ap-5918	200	51	should	should	AUX
ap-5918	200	52	be	be	AUX
ap-5918	200	53	a	a	DET
ap-5918	200	54	constant	constant	ADJ
ap-5918	200	55	.	.	PUNCT
ap-5918	201	1	we	we	PRON
ap-5918	201	2	may	may	AUX
ap-5918	201	3	also	also	ADV
ap-5918	201	4	note	note	VERB
ap-5918	201	5	that	that	SCONJ
ap-5918	201	6	all	all	DET
ap-5918	201	7	the	the	DET
ap-5918	201	8	spin	spin	NOUN
ap-5918	201	9	-	-	PUNCT
ap-5918	201	10	dependent	dependent	ADJ
ap-5918	201	11	parts	part	NOUN
ap-5918	201	12	,	,	PUNCT
ap-5918	201	13	which	which	PRON
ap-5918	201	14	are	be	AUX
ap-5918	201	15	proportional	proportional	ADJ
ap-5918	201	16	to	to	ADP
ap-5918	201	17	αj	αj	PROPN
ap-5918	201	18	,	,	PUNCT
ap-5918	201	19	β	β	X
ap-5918	201	20	disappear	disappear	VERB
ap-5918	201	21	.	.	PUNCT
ap-5918	202	1	which	which	PRON
ap-5918	202	2	means	mean	VERB
ap-5918	202	3	that	that	SCONJ
ap-5918	202	4	i	i	PRON
ap-5918	202	5	has	have	VERB
ap-5918	202	6	no	no	DET
ap-5918	202	7	spin	spin	NOUN
ap-5918	202	8	-	-	PUNCT
ap-5918	202	9	dependency	dependency	NOUN
ap-5918	202	10	,	,	PUNCT
ap-5918	202	11	but	but	CCONJ
ap-5918	202	12	it	it	PRON
ap-5918	202	13	is	be	AUX
ap-5918	202	14	proportional	proportional	ADJ
ap-5918	202	15	to	to	ADP
ap-5918	202	16	the	the	DET
ap-5918	202	17	matrix	matrix	NOUN
ap-5918	202	18	of	of	ADP
ap-5918	202	19	identity	identity	NOUN
ap-5918	202	20	in	in	ADP
ap-5918	202	21	the	the	DET
ap-5918	202	22	spinor	spinor	NOUN
ap-5918	202	23	of	of	ADP
ap-5918	202	24	space	space	NOUN
ap-5918	202	25	.	.	PUNCT
ap-5918	203	1	115	115	NUM
ap-5918	203	2	ilyas	ilyas	PROPN
ap-5918	203	3	haouam	haouam	PROPN
ap-5918	203	4	acta	acta	PROPN
ap-5918	203	5	polytechnica	polytechnica	PROPN
ap-5918	203	6	3.3	3.3	NUM
ap-5918	203	7	.	.	PUNCT
ap-5918	204	1	eigenvalues	eigenvalue	NOUN
ap-5918	204	2	and	and	CCONJ
ap-5918	204	3	eigenstates	eigenstate	NOUN
ap-5918	204	4	of	of	ADP
ap-5918	204	5	i	i	PRON
ap-5918	204	6	and	and	CCONJ
ap-5918	204	7	h(t	h(t	NUM
ap-5918	204	8	)	)	PUNCT
ap-5918	205	1	supposing	suppose	VERB
ap-5918	205	2	that	that	SCONJ
ap-5918	205	3	the	the	DET
ap-5918	205	4	invariant	invariant	NOUN
ap-5918	205	5	in	in	ADP
ap-5918	205	6	general	general	ADJ
ap-5918	205	7	i(t	i(t	PROPN
ap-5918	205	8	)	)	PUNCT
ap-5918	205	9	is	be	AUX
ap-5918	205	10	a	a	DET
ap-5918	205	11	complete	complete	ADJ
ap-5918	205	12	set	set	NOUN
ap-5918	205	13	of	of	ADP
ap-5918	205	14	eigenfunctions	eigenfunction	NOUN
ap-5918	205	15	|φ(λ	|φ(λ	PROPN
ap-5918	205	16	,	,	PUNCT
ap-5918	205	17	k	k	NOUN
ap-5918	205	18	)	)	PUNCT
ap-5918	205	19	〉	〉	NOUN
ap-5918	205	20	(	(	PUNCT
ap-5918	205	21	in	in	ADP
ap-5918	205	22	this	this	DET
ap-5918	205	23	subsection	subsection	NOUN
ap-5918	205	24	,	,	PUNCT
ap-5918	205	25	the	the	DET
ap-5918	205	26	analysis	analysis	NOUN
ap-5918	205	27	is	be	AUX
ap-5918	205	28	not	not	PART
ap-5918	205	29	concerning	concern	VERB
ap-5918	205	30	only	only	ADV
ap-5918	205	31	on	on	ADP
ap-5918	205	32	time	time	NOUN
ap-5918	205	33	-	-	PUNCT
ap-5918	205	34	independent	independent	ADJ
ap-5918	205	35	invariants	invariant	NOUN
ap-5918	205	36	)	)	PUNCT
ap-5918	205	37	,	,	PUNCT
ap-5918	205	38	with	with	ADP
ap-5918	205	39	λ	λ	NOUN
ap-5918	205	40	being	be	AUX
ap-5918	205	41	the	the	DET
ap-5918	205	42	corresponding	corresponding	ADJ
ap-5918	205	43	eigenvalue	eigenvalue	PROPN
ap-5918	205	44	(	(	PUNCT
ap-5918	205	45	spectrum	spectrum	NOUN
ap-5918	205	46	of	of	ADP
ap-5918	205	47	the	the	DET
ap-5918	205	48	operator	operator	NOUN
ap-5918	205	49	)	)	PUNCT
ap-5918	205	50	,	,	PUNCT
ap-5918	205	51	and	and	CCONJ
ap-5918	205	52	k	k	PROPN
ap-5918	205	53	represents	represent	VERB
ap-5918	205	54	all	all	DET
ap-5918	205	55	other	other	ADJ
ap-5918	205	56	necessary	necessary	ADJ
ap-5918	205	57	quantum	quantum	ADJ
ap-5918	205	58	numbers	number	NOUN
ap-5918	205	59	to	to	PART
ap-5918	205	60	specify	specify	VERB
ap-5918	205	61	the	the	DET
ap-5918	205	62	eigenstates	eigenstate	NOUN
ap-5918	205	63	,	,	PUNCT
ap-5918	205	64	the	the	DET
ap-5918	205	65	eigenvalues	eigenvalue	NOUN
ap-5918	205	66	equation	equation	NOUN
ap-5918	205	67	is	be	AUX
ap-5918	205	68	written	write	VERB
ap-5918	205	69	as	as	ADP
ap-5918	205	70	i(t	i(t	NOUN
ap-5918	205	71	)	)	PUNCT
ap-5918	206	1	|φ(λ	|φ(λ	PROPN
ap-5918	206	2	,	,	PUNCT
ap-5918	206	3	k	k	NOUN
ap-5918	206	4	)	)	PUNCT
ap-5918	206	5	〉	〉	NOUN
ap-5918	206	6	=	=	SYM
ap-5918	206	7	λ	λ	X
ap-5918	206	8	|φ(λ	|φ(λ	PROPN
ap-5918	206	9	,	,	PUNCT
ap-5918	206	10	k	k	NOUN
ap-5918	206	11	)	)	PUNCT
ap-5918	206	12	〉	〉	PROPN
ap-5918	206	13	,	,	PUNCT
ap-5918	206	14	(	(	PUNCT
ap-5918	206	15	48	48	NUM
ap-5918	206	16	)	)	PUNCT
ap-5918	206	17	where	where	SCONJ
ap-5918	206	18	|φ(λ	|φ(λ	PROPN
ap-5918	206	19	,	,	PUNCT
ap-5918	206	20	k	k	NOUN
ap-5918	206	21	)	)	PUNCT
ap-5918	206	22	〉	〉	PROPN
ap-5918	206	23	are	be	AUX
ap-5918	206	24	an	an	DET
ap-5918	206	25	orthogonal	orthogonal	ADJ
ap-5918	206	26	eigenfunctions	eigenfunction	NOUN
ap-5918	206	27	〈	〈	PROPN
ap-5918	206	28	φ(λ	φ(λ	PROPN
ap-5918	206	29	,	,	PUNCT
ap-5918	206	30	k	k	NOUN
ap-5918	206	31	)	)	PUNCT
ap-5918	206	32	|	|	ADV
ap-5918	206	33	φ(λ	φ(λ	PROPN
ap-5918	206	34	′	′	NOUN
ap-5918	206	35	,	,	PUNCT
ap-5918	206	36	k	k	PROPN
ap-5918	206	37	′	′	NOUN
ap-5918	206	38	)	)	PUNCT
ap-5918	206	39	〉	〉	NOUN
ap-5918	206	40	=	=	PUNCT
ap-5918	206	41	δλλ′	δλλ′	PROPN
ap-5918	206	42	δkk′	δkk′	PROPN
ap-5918	206	43	.	.	PUNCT
ap-5918	207	1	(	(	PUNCT
ap-5918	207	2	49	49	NUM
ap-5918	207	3	)	)	PUNCT
ap-5918	207	4	according	accord	VERB
ap-5918	207	5	to	to	ADP
ap-5918	207	6	eq.(16	eq.(16	NOUN
ap-5918	207	7	)	)	PUNCT
ap-5918	207	8	,	,	PUNCT
ap-5918	207	9	the	the	DET
ap-5918	207	10	eigenvalues	eigenvalue	NOUN
ap-5918	207	11	are	be	AUX
ap-5918	207	12	real	real	ADJ
ap-5918	207	13	and	and	CCONJ
ap-5918	207	14	not	not	PART
ap-5918	207	15	time	time	NOUN
ap-5918	207	16	-	-	PUNCT
ap-5918	207	17	dependent	dependent	ADJ
ap-5918	207	18	.	.	PUNCT
ap-5918	208	1	deriving	derive	VERB
ap-5918	208	2	eq.(48	eq.(48	NOUN
ap-5918	208	3	)	)	PUNCT
ap-5918	208	4	in	in	ADP
ap-5918	208	5	time	time	NOUN
ap-5918	208	6	,	,	PUNCT
ap-5918	208	7	we	we	PRON
ap-5918	208	8	find	find	VERB
ap-5918	208	9	∂i	∂i	PROPN
ap-5918	208	10	∂t	∂t	PROPN
ap-5918	208	11	|φ(λ	|φ(λ	PROPN
ap-5918	208	12	,	,	PUNCT
ap-5918	208	13	k)〉+	k)〉+	PROPN
ap-5918	209	1	i	i	PRON
ap-5918	209	2	∂	∂	NOUN
ap-5918	210	1	∂t	∂t	PROPN
ap-5918	210	2	|φ(λ	|φ(λ	PROPN
ap-5918	210	3	,	,	PUNCT
ap-5918	210	4	k	k	NOUN
ap-5918	210	5	)	)	PUNCT
ap-5918	210	6	〉	〉	PROPN
ap-5918	210	7	=	=	SYM
ap-5918	210	8	∂λ	∂λ	PROPN
ap-5918	210	9	∂t	∂t	PROPN
ap-5918	210	10	|φ(λ	|φ(λ	PROPN
ap-5918	210	11	,	,	PUNCT
ap-5918	210	12	k)〉+	k)〉+	PROPN
ap-5918	210	13	λ	λ	PROPN
ap-5918	210	14	∂	∂	NOUN
ap-5918	210	15	∂t	∂t	PROPN
ap-5918	210	16	|φ(λ	|φ(λ	PROPN
ap-5918	210	17	,	,	PUNCT
ap-5918	210	18	k	k	PROPN
ap-5918	210	19	)	)	PUNCT
ap-5918	210	20	〉	〉	NOUN
ap-5918	210	21	,	,	PUNCT
ap-5918	210	22	(	(	PUNCT
ap-5918	210	23	50	50	NUM
ap-5918	210	24	)	)	PUNCT
ap-5918	210	25	we	we	PRON
ap-5918	210	26	apply	apply	VERB
ap-5918	210	27	eq.(14	eq.(14	NOUN
ap-5918	210	28	)	)	PUNCT
ap-5918	210	29	over	over	ADP
ap-5918	210	30	the	the	DET
ap-5918	210	31	eigenfunctions	eigenfunction	NOUN
ap-5918	210	32	|φ(λ	|φ(λ	PROPN
ap-5918	210	33	,	,	PUNCT
ap-5918	210	34	k	k	NOUN
ap-5918	210	35	)	)	PUNCT
ap-5918	210	36	〉	〉	PROPN
ap-5918	210	37	,	,	PUNCT
ap-5918	210	38	we	we	PRON
ap-5918	210	39	have	have	VERB
ap-5918	211	1	i	i	PRON
ap-5918	211	2	∂i	∂i	PROPN
ap-5918	211	3	∂t	∂t	PROPN
ap-5918	211	4	|φ(λ	|φ(λ	PROPN
ap-5918	211	5	,	,	PUNCT
ap-5918	211	6	k)〉+	k)〉+	PROPN
ap-5918	211	7	ihnc	ihnc	VERB
ap-5918	211	8	|φ(λ	|φ(λ	PROPN
ap-5918	211	9	,	,	PUNCT
ap-5918	211	10	k	k	NOUN
ap-5918	211	11	)	)	PUNCT
ap-5918	211	12	〉	〉	PROPN
ap-5918	211	13	−	−	PROPN
ap-5918	211	14	hncλ	hncλ	VERB
ap-5918	211	15	|φ(λ	|φ(λ	PROPN
ap-5918	211	16	,	,	PUNCT
ap-5918	211	17	k	k	NOUN
ap-5918	211	18	)	)	PUNCT
ap-5918	211	19	〉	〉	NOUN
ap-5918	211	20	=	=	SYM
ap-5918	211	21	0	0	NUM
ap-5918	211	22	,	,	PUNCT
ap-5918	211	23	(	(	PUNCT
ap-5918	211	24	51	51	NUM
ap-5918	211	25	)	)	PUNCT
ap-5918	211	26	the	the	DET
ap-5918	211	27	scalar	scalar	ADJ
ap-5918	211	28	product	product	NOUN
ap-5918	211	29	of	of	ADP
ap-5918	211	30	eq.(51	eq.(51	NOUN
ap-5918	211	31	)	)	PUNCT
ap-5918	211	32	by	by	ADP
ap-5918	211	33	〈	〈	PROPN
ap-5918	211	34	φ(λ′	φ(λ′	PROPN
ap-5918	211	35	,	,	PUNCT
ap-5918	211	36	k	k	PROPN
ap-5918	211	37	′	′	NOUN
ap-5918	211	38	)	)	PUNCT
ap-5918	211	39	∣∣∣	∣∣∣	NOUN
ap-5918	211	40	is	be	AUX
ap-5918	211	41	i	i	PRON
ap-5918	211	42	〈	〈	PROPN
ap-5918	211	43	φ(λ	φ(λ	PROPN
ap-5918	211	44	′	′	NOUN
ap-5918	211	45	,	,	PUNCT
ap-5918	212	1	k	k	PROPN
ap-5918	212	2	′	′	NOUN
ap-5918	212	3	)	)	PUNCT
ap-5918	212	4	∣∣∣∣∂i∂t	∣∣∣∣∂i∂t	PROPN
ap-5918	212	5	∣∣∣∣φ(λ	∣∣∣∣φ(λ	PROPN
ap-5918	212	6	,	,	PUNCT
ap-5918	212	7	k	k	NOUN
ap-5918	212	8	)	)	PUNCT
ap-5918	212	9	〉	〉	NOUN
ap-5918	212	10	+	+	CCONJ
ap-5918	212	11	(	(	PUNCT
ap-5918	212	12	λ	λ	NOUN
ap-5918	212	13	′	′	NOUN
ap-5918	213	1	−	−	PROPN
ap-5918	213	2	λ	λ	PROPN
ap-5918	213	3	)	)	PUNCT
ap-5918	213	4	〈	〈	PROPN
ap-5918	213	5	φ(λ	φ(λ	PROPN
ap-5918	213	6	′	′	NOUN
ap-5918	213	7	,	,	PUNCT
ap-5918	213	8	k	k	PROPN
ap-5918	213	9	′	′	NOUN
ap-5918	213	10	)	)	PUNCT
ap-5918	213	11	|hnc|φ(λ	|hnc|φ(λ	NOUN
ap-5918	213	12	,	,	PUNCT
ap-5918	213	13	k	k	NOUN
ap-5918	213	14	)	)	PUNCT
ap-5918	213	15	〉	〉	NOUN
ap-5918	213	16	=	=	SYM
ap-5918	213	17	0	0	NUM
ap-5918	213	18	,	,	PUNCT
ap-5918	213	19	(	(	PUNCT
ap-5918	213	20	52	52	NUM
ap-5918	213	21	)	)	PUNCT
ap-5918	213	22	which	which	PRON
ap-5918	213	23	implies	imply	VERB
ap-5918	213	24	〈	〈	PROPN
ap-5918	213	25	φ(λ	φ(λ	PROPN
ap-5918	213	26	′	′	NOUN
ap-5918	213	27	,	,	PUNCT
ap-5918	213	28	k	k	PROPN
ap-5918	213	29	′	′	NOUN
ap-5918	213	30	)	)	PUNCT
ap-5918	214	1	∣∣∣∣∂i∂t	∣∣∣∣∂i∂t	PROPN
ap-5918	214	2	∣∣∣∣φ(λ	∣∣∣∣φ(λ	PROPN
ap-5918	214	3	,	,	PUNCT
ap-5918	214	4	k	k	NOUN
ap-5918	214	5	)	)	PUNCT
ap-5918	214	6	〉	〉	NOUN
ap-5918	214	7	=	=	SYM
ap-5918	214	8	0	0	NUM
ap-5918	214	9	,	,	PUNCT
ap-5918	214	10	(	(	PUNCT
ap-5918	214	11	53	53	NUM
ap-5918	214	12	)	)	PUNCT
ap-5918	214	13	the	the	DET
ap-5918	214	14	scalar	scalar	ADJ
ap-5918	214	15	product	product	NOUN
ap-5918	214	16	of	of	ADP
ap-5918	214	17	eq.(50	eq.(50	NOUN
ap-5918	214	18	)	)	PUNCT
ap-5918	214	19	by	by	ADP
ap-5918	214	20	〈	〈	PROPN
ap-5918	214	21	φ(λ′	φ(λ′	PROPN
ap-5918	214	22	,	,	PUNCT
ap-5918	214	23	k	k	PROPN
ap-5918	214	24	′	′	NOUN
ap-5918	214	25	)	)	PUNCT
ap-5918	214	26	∣∣∣is	∣∣∣i	VERB
ap-5918	214	27	〈	〈	PROPN
ap-5918	214	28	φ(λ	φ(λ	PROPN
ap-5918	214	29	′	′	NOUN
ap-5918	214	30	,	,	PUNCT
ap-5918	214	31	k	k	PROPN
ap-5918	214	32	′	′	NOUN
ap-5918	214	33	)	)	PUNCT
ap-5918	214	34	∣∣∣∣∂i∂t	∣∣∣∣∂i∂t	PROPN
ap-5918	214	35	∣∣∣∣φ(λ	∣∣∣∣φ(λ	PROPN
ap-5918	214	36	,	,	PUNCT
ap-5918	214	37	k	k	NOUN
ap-5918	214	38	)	)	PUNCT
ap-5918	214	39	〉	〉	NOUN
ap-5918	214	40	=	=	SYM
ap-5918	214	41	∂λ	∂λ	PROPN
ap-5918	214	42	∂t	∂t	PROPN
ap-5918	214	43	,	,	PUNCT
ap-5918	214	44	(	(	PUNCT
ap-5918	214	45	54	54	NUM
ap-5918	214	46	)	)	PUNCT
ap-5918	214	47	from	from	ADP
ap-5918	214	48	eq.(53	eq.(53	NOUN
ap-5918	214	49	)	)	PUNCT
ap-5918	214	50	,	,	PUNCT
ap-5918	214	51	the	the	DET
ap-5918	214	52	eq.(54	eq.(54	NOUN
ap-5918	214	53	)	)	PUNCT
ap-5918	214	54	shows	show	VERB
ap-5918	214	55	that	that	SCONJ
ap-5918	214	56	〈	〈	PROPN
ap-5918	214	57	φ(λ	φ(λ	PROPN
ap-5918	214	58	′	′	NOUN
ap-5918	214	59	,	,	PUNCT
ap-5918	214	60	k	k	PROPN
ap-5918	214	61	′	′	NOUN
ap-5918	214	62	)	)	PUNCT
ap-5918	214	63	∣∣∣∣∂i∂t	∣∣∣∣∂i∂t	PROPN
ap-5918	214	64	∣∣∣∣φ(λ	∣∣∣∣φ(λ	PROPN
ap-5918	214	65	,	,	PUNCT
ap-5918	214	66	k	k	NOUN
ap-5918	214	67	)	)	PUNCT
ap-5918	214	68	〉	〉	NOUN
ap-5918	214	69	=	=	SYM
ap-5918	214	70	∂λ	∂λ	PROPN
ap-5918	214	71	∂t	∂t	PROPN
ap-5918	214	72	=	=	NOUN
ap-5918	214	73	0	0	PROPN
ap-5918	214	74	.	.	PUNCT
ap-5918	215	1	(	(	PUNCT
ap-5918	215	2	55	55	NUM
ap-5918	215	3	)	)	PUNCT
ap-5918	215	4	while	while	SCONJ
ap-5918	215	5	the	the	DET
ap-5918	215	6	eigenvalues	eigenvalue	NOUN
ap-5918	215	7	are	be	AUX
ap-5918	215	8	time	time	NOUN
ap-5918	215	9	-	-	PUNCT
ap-5918	215	10	independent	independent	ADJ
ap-5918	215	11	,	,	PUNCT
ap-5918	215	12	the	the	DET
ap-5918	215	13	eigenstates	eigenstate	NOUN
ap-5918	215	14	should	should	AUX
ap-5918	215	15	be	be	AUX
ap-5918	215	16	time	time	NOUN
ap-5918	215	17	-	-	PUNCT
ap-5918	215	18	dependent	dependent	ADJ
ap-5918	215	19	.	.	PUNCT
ap-5918	216	1	in	in	ADP
ap-5918	216	2	order	order	NOUN
ap-5918	216	3	to	to	PART
ap-5918	216	4	find	find	VERB
ap-5918	216	5	the	the	DET
ap-5918	216	6	link	link	NOUN
ap-5918	216	7	between	between	ADP
ap-5918	216	8	the	the	DET
ap-5918	216	9	eigenstates	eigenstate	NOUN
ap-5918	216	10	of	of	ADP
ap-5918	216	11	the	the	DET
ap-5918	216	12	invariant	invariant	ADJ
ap-5918	216	13	i(t	i(t	PROPN
ap-5918	216	14	)	)	PUNCT
ap-5918	216	15	and	and	CCONJ
ap-5918	216	16	the	the	DET
ap-5918	216	17	solutions	solution	NOUN
ap-5918	216	18	of	of	ADP
ap-5918	216	19	the	the	DET
ap-5918	216	20	relativistic	relativistic	ADJ
ap-5918	216	21	dirac	dirac	NOUN
ap-5918	216	22	equation	equation	NOUN
ap-5918	216	23	,	,	PUNCT
ap-5918	216	24	we	we	PRON
ap-5918	216	25	first	first	ADV
ap-5918	216	26	start	start	VERB
ap-5918	216	27	with	with	ADP
ap-5918	216	28	writing	write	VERB
ap-5918	216	29	the	the	DET
ap-5918	216	30	motion	motion	NOUN
ap-5918	216	31	equation	equation	NOUN
ap-5918	216	32	of	of	ADP
ap-5918	216	33	|φ(λ	|φ(λ	PROPN
ap-5918	216	34	,	,	PUNCT
ap-5918	216	35	k	k	PROPN
ap-5918	216	36	)	)	PUNCT
ap-5918	216	37	〉	〉	PROPN
ap-5918	216	38	,	,	PUNCT
ap-5918	216	39	so	so	SCONJ
ap-5918	216	40	that	that	SCONJ
ap-5918	216	41	,	,	PUNCT
ap-5918	216	42	using	use	VERB
ap-5918	216	43	eq.(50	eq.(50	NOUN
ap-5918	216	44	)	)	PUNCT
ap-5918	216	45	and	and	CCONJ
ap-5918	216	46	eq.(55	eq.(55	NOUN
ap-5918	216	47	)	)	PUNCT
ap-5918	216	48	,	,	PUNCT
ap-5918	216	49	we	we	PRON
ap-5918	216	50	obtain	obtain	VERB
ap-5918	216	51	∂i	∂i	PROPN
ap-5918	216	52	∂t	∂t	PROPN
ap-5918	216	53	|φ(λ	|φ(λ	PROPN
ap-5918	216	54	,	,	PUNCT
ap-5918	216	55	k	k	NOUN
ap-5918	216	56	)	)	PUNCT
ap-5918	216	57	〉	〉	NOUN
ap-5918	216	58	=	=	SYM
ap-5918	216	59	(	(	PUNCT
ap-5918	216	60	λ−	λ−	PROPN
ap-5918	216	61	i	i	PROPN
ap-5918	216	62	)	)	PUNCT
ap-5918	216	63	∂	∂	PUNCT
ap-5918	217	1	∂t	∂t	PROPN
ap-5918	217	2	|φ(λ	|φ(λ	PROPN
ap-5918	217	3	,	,	PUNCT
ap-5918	217	4	k	k	PROPN
ap-5918	217	5	)	)	PUNCT
ap-5918	217	6	〉	〉	NOUN
ap-5918	217	7	,	,	PUNCT
ap-5918	217	8	(	(	PUNCT
ap-5918	217	9	56	56	NUM
ap-5918	217	10	)	)	PUNCT
ap-5918	217	11	by	by	ADP
ap-5918	217	12	using	use	VERB
ap-5918	217	13	the	the	DET
ap-5918	217	14	scalar	scalar	ADJ
ap-5918	217	15	product	product	NOUN
ap-5918	217	16	with	with	ADP
ap-5918	217	17	〈	〈	PROPN
ap-5918	217	18	φ(λ′	φ(λ′	NOUN
ap-5918	217	19	,	,	PUNCT
ap-5918	217	20	k	k	PROPN
ap-5918	217	21	′	′	NOUN
ap-5918	217	22	)	)	PUNCT
ap-5918	217	23	∣∣∣	∣∣∣	ADJ
ap-5918	217	24	,	,	PUNCT
ap-5918	217	25	and	and	CCONJ
ap-5918	217	26	taking	take	VERB
ap-5918	217	27	eq.(52	eq.(52	NOUN
ap-5918	217	28	)	)	PUNCT
ap-5918	217	29	to	to	PART
ap-5918	217	30	eliminate	eliminate	VERB
ap-5918	217	31	〈	〈	PROPN
ap-5918	217	32	φ(λ′	φ(λ′	NOUN
ap-5918	217	33	,	,	PUNCT
ap-5918	217	34	k	k	PROPN
ap-5918	217	35	′	′	NOUN
ap-5918	217	36	)	)	PUNCT
ap-5918	217	37	∣∣∂i	∣∣∂i	PROPN
ap-5918	217	38	∂t	∂t	PROPN
ap-5918	217	39	∣∣φ(λ	∣∣φ(λ	PROPN
ap-5918	217	40	,	,	PUNCT
ap-5918	217	41	k	k	NOUN
ap-5918	217	42	)	)	PUNCT
ap-5918	217	43	〉	〉	NOUN
ap-5918	217	44	,	,	PUNCT
ap-5918	217	45	then	then	ADV
ap-5918	217	46	we	we	PRON
ap-5918	217	47	obtain	obtain	VERB
ap-5918	217	48	i	i	PRON
ap-5918	217	49	〈	〈	PROPN
ap-5918	217	50	φ(λ	φ(λ	PROPN
ap-5918	217	51	′	′	NOUN
ap-5918	217	52	,	,	PUNCT
ap-5918	218	1	k	k	PROPN
ap-5918	218	2	′	′	NUM
ap-5918	218	3	)	)	PUNCT
ap-5918	218	4	∣∣∣∣(λ−	∣∣∣∣(λ−	NOUN
ap-5918	218	5	λ′	λ′	NOUN
ap-5918	218	6	)	)	PUNCT
ap-5918	218	7	∂	∂	NUM
ap-5918	219	1	∂t	∂t	PROPN
ap-5918	219	2	∣∣∣∣φ(λ	∣∣∣∣φ(λ	PROPN
ap-5918	219	3	,	,	PUNCT
ap-5918	219	4	k	k	NOUN
ap-5918	219	5	)	)	PUNCT
ap-5918	219	6	〉	〉	NOUN
ap-5918	219	7	=	=	SYM
ap-5918	219	8	(	(	PUNCT
ap-5918	219	9	λ−	λ−	PROPN
ap-5918	219	10	λ	λ	PROPN
ap-5918	219	11	′	′	NUM
ap-5918	219	12	)	)	PUNCT
ap-5918	220	1	〈	〈	PROPN
ap-5918	220	2	φ(λ	φ(λ	PROPN
ap-5918	220	3	′	′	NOUN
ap-5918	220	4	,	,	PUNCT
ap-5918	220	5	k	k	PROPN
ap-5918	220	6	′	′	NOUN
ap-5918	220	7	)	)	PUNCT
ap-5918	220	8	|hnc|φ(λ	|hnc|φ(λ	NOUN
ap-5918	220	9	,	,	PUNCT
ap-5918	220	10	k	k	NOUN
ap-5918	220	11	)	)	PUNCT
ap-5918	220	12	〉	〉	NOUN
ap-5918	220	13	,	,	PUNCT
ap-5918	220	14	(	(	PUNCT
ap-5918	220	15	57	57	NUM
ap-5918	220	16	)	)	PUNCT
ap-5918	220	17	for	for	ADP
ap-5918	220	18	λ′	λ′	X
ap-5918	220	19	6=	6=	ADP
ap-5918	221	1	λ	λ	NOUN
ap-5918	221	2	,	,	PUNCT
ap-5918	221	3	we	we	PRON
ap-5918	221	4	deduce	deduce	VERB
ap-5918	221	5	i	i	PRON
ap-5918	221	6	〈	〈	PROPN
ap-5918	221	7	φ(λ	φ(λ	PROPN
ap-5918	221	8	′	′	NOUN
ap-5918	221	9	,	,	PUNCT
ap-5918	221	10	k	k	PROPN
ap-5918	221	11	′	′	NOUN
ap-5918	221	12	)	)	PUNCT
ap-5918	221	13	∣∣∣∣	∣∣∣∣	PROPN
ap-5918	221	14	∂∂t	∂∂t	PROPN
ap-5918	221	15	∣∣∣∣φ(λ	∣∣∣∣φ(λ	PROPN
ap-5918	221	16	,	,	PUNCT
ap-5918	221	17	k	k	NOUN
ap-5918	221	18	)	)	PUNCT
ap-5918	221	19	〉	〉	NOUN
ap-5918	221	20	=	=	SYM
ap-5918	221	21	〈	〈	PROPN
ap-5918	221	22	φ(λ	φ(λ	PROPN
ap-5918	221	23	′	′	NOUN
ap-5918	221	24	,	,	PUNCT
ap-5918	221	25	k	k	PROPN
ap-5918	221	26	′	′	NOUN
ap-5918	221	27	)	)	PUNCT
ap-5918	221	28	|hnc|φ(λ	|hnc|φ(λ	NOUN
ap-5918	221	29	,	,	PUNCT
ap-5918	221	30	k	k	NOUN
ap-5918	221	31	)	)	PUNCT
ap-5918	221	32	〉	〉	NOUN
ap-5918	221	33	,	,	PUNCT
ap-5918	221	34	(	(	PUNCT
ap-5918	221	35	58	58	NUM
ap-5918	221	36	)	)	PUNCT
ap-5918	221	37	then	then	ADV
ap-5918	221	38	we	we	PRON
ap-5918	221	39	deduce	deduce	VERB
ap-5918	221	40	immediately	immediately	ADV
ap-5918	221	41	that	that	SCONJ
ap-5918	221	42	|φ(λ	|φ(λ	PROPN
ap-5918	221	43	,	,	PUNCT
ap-5918	221	44	k	k	NOUN
ap-5918	221	45	)	)	PUNCT
ap-5918	221	46	〉	〉	NOUN
ap-5918	221	47	satisfy	satisfy	VERB
ap-5918	221	48	the	the	DET
ap-5918	221	49	dirac	dirac	NOUN
ap-5918	221	50	equation	equation	NOUN
ap-5918	221	51	,	,	PUNCT
ap-5918	221	52	that	that	PRON
ap-5918	221	53	is	be	AUX
ap-5918	221	54	to	to	PART
ap-5918	221	55	say	say	VERB
ap-5918	221	56	|φ(λ	|φ(λ	PROPN
ap-5918	221	57	,	,	PUNCT
ap-5918	221	58	k	k	NOUN
ap-5918	221	59	)	)	PUNCT
ap-5918	221	60	〉	〉	PROPN
ap-5918	221	61	are	be	AUX
ap-5918	221	62	particular	particular	ADJ
ap-5918	221	63	solutions	solution	NOUN
ap-5918	221	64	of	of	ADP
ap-5918	221	65	the	the	DET
ap-5918	221	66	dirac	dirac	NOUN
ap-5918	221	67	equation	equation	NOUN
ap-5918	221	68	.	.	PUNCT
ap-5918	222	1	it	it	PRON
ap-5918	222	2	is	be	AUX
ap-5918	222	3	assumed	assume	VERB
ap-5918	222	4	that	that	SCONJ
ap-5918	222	5	a	a	DET
ap-5918	222	6	phase	phase	NOUN
ap-5918	222	7	has	have	AUX
ap-5918	222	8	been	be	AUX
ap-5918	222	9	taken	take	VERB
ap-5918	222	10	,	,	PUNCT
ap-5918	222	11	but	but	CCONJ
ap-5918	222	12	it	it	PRON
ap-5918	222	13	is	be	AUX
ap-5918	222	14	still	still	ADV
ap-5918	222	15	always	always	ADV
ap-5918	222	16	possible	possible	ADJ
ap-5918	222	17	to	to	PART
ap-5918	222	18	multiply	multiply	VERB
ap-5918	222	19	it	it	PRON
ap-5918	222	20	by	by	ADP
ap-5918	222	21	an	an	DET
ap-5918	222	22	arbitrary	arbitrary	ADJ
ap-5918	222	23	time	time	NOUN
ap-5918	222	24	-	-	PUNCT
ap-5918	222	25	dependent	dependent	ADJ
ap-5918	222	26	phase	phase	NOUN
ap-5918	222	27	factor	factor	NOUN
ap-5918	222	28	,	,	PUNCT
ap-5918	222	29	which	which	PRON
ap-5918	222	30	means	mean	VERB
ap-5918	222	31	that	that	SCONJ
ap-5918	222	32	we	we	PRON
ap-5918	222	33	can	can	AUX
ap-5918	222	34	define	define	VERB
ap-5918	222	35	a	a	DET
ap-5918	222	36	new	new	ADJ
ap-5918	222	37	set	set	NOUN
ap-5918	222	38	of	of	ADP
ap-5918	222	39	i(t	i(t	NOUN
ap-5918	222	40	)	)	PUNCT
ap-5918	222	41	eigenstates	eigenstate	NOUN
ap-5918	222	42	linked	link	VERB
ap-5918	222	43	to	to	ADP
ap-5918	222	44	our	our	PRON
ap-5918	222	45	overall	overall	NOUN
ap-5918	222	46	by	by	ADP
ap-5918	222	47	a	a	DET
ap-5918	222	48	time	time	NOUN
ap-5918	222	49	-	-	PUNCT
ap-5918	222	50	dependent	dependent	ADJ
ap-5918	222	51	gauge	gauge	NOUN
ap-5918	222	52	transformation	transformation	NOUN
ap-5918	222	53	,	,	PUNCT
ap-5918	222	54	and	and	CCONJ
ap-5918	222	55	|φ(λ	|φ(λ	PROPN
ap-5918	222	56	,	,	PUNCT
ap-5918	222	57	k)〉α	k)〉α	NOUN
ap-5918	222	58	=	=	SYM
ap-5918	222	59	eiαλ(t	eiαλ(t	PROPN
ap-5918	222	60	)	)	PUNCT
ap-5918	223	1	|φ(λ	|φ(λ	PROPN
ap-5918	223	2	,	,	PUNCT
ap-5918	223	3	k	k	NOUN
ap-5918	223	4	)	)	PUNCT
ap-5918	223	5	〉	〉	PROPN
ap-5918	223	6	,	,	PUNCT
ap-5918	223	7	(	(	PUNCT
ap-5918	223	8	59	59	NUM
ap-5918	223	9	)	)	PUNCT
ap-5918	223	10	116	116	NUM
ap-5918	223	11	vol	vol	NOUN
ap-5918	223	12	.	.	PUNCT
ap-5918	224	1	60	60	NUM
ap-5918	224	2	no	no	NOUN
ap-5918	224	3	.	.	PUNCT
ap-5918	225	1	2/2020	2/2020	NUM
ap-5918	225	2	analytical	analytical	ADJ
ap-5918	225	3	solution	solution	NOUN
ap-5918	225	4	of	of	ADP
ap-5918	225	5	(	(	PUNCT
ap-5918	225	6	2	2	NUM
ap-5918	225	7	+	+	NOUN
ap-5918	225	8	1	1	NUM
ap-5918	225	9	)	)	PUNCT
ap-5918	225	10	dimensional	dimensional	ADJ
ap-5918	225	11	dirac	dirac	NOUN
ap-5918	225	12	equation	equation	NOUN
ap-5918	225	13	.	.	PUNCT
ap-5918	225	14	.	.	PUNCT
ap-5918	225	15	.	.	PUNCT
ap-5918	226	1	where	where	SCONJ
ap-5918	226	2	αλ(t	αλ(t	NUM
ap-5918	226	3	)	)	PUNCT
ap-5918	226	4	is	be	AUX
ap-5918	226	5	a	a	DET
ap-5918	226	6	real	real	ADJ
ap-5918	226	7	time	time	NOUN
ap-5918	226	8	-	-	PUNCT
ap-5918	226	9	dependent	dependent	ADJ
ap-5918	226	10	function	function	NOUN
ap-5918	226	11	arbitrarily	arbitrarily	ADV
ap-5918	226	12	chosen	choose	VERB
ap-5918	226	13	called	call	VERB
ap-5918	226	14	lr	lr	NOUN
ap-5918	226	15	phase	phase	NOUN
ap-5918	226	16	,	,	PUNCT
ap-5918	226	17	|φλ(x	|φλ(x	PRON
ap-5918	226	18	,	,	PUNCT
ap-5918	226	19	y	y	PROPN
ap-5918	226	20	,	,	PUNCT
ap-5918	226	21	t)〉αare	t)〉αare	PROPN
ap-5918	226	22	eigenstates	eigenstate	NOUN
ap-5918	226	23	of	of	ADP
ap-5918	226	24	i(t	i(t	NOUN
ap-5918	226	25	)	)	PUNCT
ap-5918	226	26	which	which	PRON
ap-5918	226	27	are	be	AUX
ap-5918	226	28	orthonormal	orthonormal	ADJ
ap-5918	226	29	and	and	CCONJ
ap-5918	226	30	associated	associate	VERB
ap-5918	226	31	with	with	ADP
ap-5918	226	32	λ	λ	PROPN
ap-5918	226	33	.	.	PUNCT
ap-5918	226	34	by	by	ADP
ap-5918	226	35	putting	put	VERB
ap-5918	226	36	eq.(59	eq.(59	NOUN
ap-5918	226	37	)	)	PUNCT
ap-5918	226	38	in	in	ADP
ap-5918	226	39	eq.(58	eq.(58	PROPN
ap-5918	226	40	)	)	PUNCT
ap-5918	226	41	and	and	CCONJ
ap-5918	226	42	using	use	VERB
ap-5918	226	43	eq.(49	eq.(49	PROPN
ap-5918	226	44	)	)	PUNCT
ap-5918	226	45	,	,	PUNCT
ap-5918	226	46	we	we	PRON
ap-5918	226	47	find	find	VERB
ap-5918	226	48	∂αλ	∂αλ	PROPN
ap-5918	226	49	,	,	PUNCT
ap-5918	226	50	k	k	PROPN
ap-5918	226	51	∂t	∂t	PROPN
ap-5918	226	52	δλλ′	δλλ′	PROPN
ap-5918	226	53	δkk′	δkk′	PROPN
ap-5918	226	54	=	=	PUNCT
ap-5918	226	55	〈	〈	PROPN
ap-5918	226	56	φ(λ	φ(λ	PROPN
ap-5918	226	57	′	′	NOUN
ap-5918	226	58	,	,	PUNCT
ap-5918	226	59	k	k	PROPN
ap-5918	226	60	′	′	NOUN
ap-5918	226	61	)	)	PUNCT
ap-5918	226	62	∣∣∣	∣∣∣	NOUN
ap-5918	227	1	i	i	PRON
ap-5918	227	2	∂	∂	NOUN
ap-5918	228	1	∂t	∂t	PROPN
ap-5918	228	2	−hnc	−hnc	PROPN
ap-5918	229	1	|φ(λ	|φ(λ	PROPN
ap-5918	229	2	,	,	PUNCT
ap-5918	229	3	k	k	NOUN
ap-5918	229	4	)	)	PUNCT
ap-5918	229	5	〉	〉	PROPN
ap-5918	229	6	.	.	PUNCT
ap-5918	230	1	(	(	PUNCT
ap-5918	230	2	60	60	NUM
ap-5918	230	3	)	)	PUNCT
ap-5918	230	4	all	all	DET
ap-5918	230	5	the	the	DET
ap-5918	230	6	eigenstates	eigenstate	NOUN
ap-5918	230	7	of	of	ADP
ap-5918	230	8	the	the	DET
ap-5918	230	9	invariant	invariant	NOUN
ap-5918	230	10	are	be	AUX
ap-5918	230	11	also	also	ADV
ap-5918	230	12	solutions	solution	NOUN
ap-5918	230	13	of	of	ADP
ap-5918	230	14	the	the	DET
ap-5918	230	15	time	time	NOUN
ap-5918	230	16	-	-	PUNCT
ap-5918	230	17	dependent	dependent	ADJ
ap-5918	230	18	dirac	dirac	NOUN
ap-5918	230	19	equation	equation	NOUN
ap-5918	230	20	,	,	PUNCT
ap-5918	230	21	it	it	PRON
ap-5918	230	22	was	be	AUX
ap-5918	230	23	shown	show	VERB
ap-5918	230	24	in	in	ADP
ap-5918	230	25	[	[	X
ap-5918	230	26	46	46	NUM
ap-5918	230	27	]	]	PUNCT
ap-5918	230	28	that	that	SCONJ
ap-5918	230	29	its	its	PRON
ap-5918	230	30	general	general	ADJ
ap-5918	230	31	solution	solution	NOUN
ap-5918	230	32	is	be	AUX
ap-5918	230	33	done	do	VERB
ap-5918	230	34	by∣∣ψ̄(t	by∣∣ψ̄(t	NOUN
ap-5918	230	35	)	)	PUNCT
ap-5918	230	36	〉	〉	NOUN
ap-5918	230	37	=	=	SYM
ap-5918	230	38	∑	∑	PUNCT
ap-5918	230	39	λ	λ	PROPN
ap-5918	230	40	,	,	PUNCT
ap-5918	230	41	k	k	PROPN
ap-5918	230	42	cλ	cλ	PROPN
ap-5918	230	43	,	,	PUNCT
ap-5918	230	44	ke	ke	PROPN
ap-5918	230	45	iαλ	iαλ	PROPN
ap-5918	230	46	,	,	PUNCT
ap-5918	230	47	k(t	k(t	PROPN
ap-5918	230	48	)	)	PUNCT
ap-5918	231	1	|φ(λ	|φ(λ	PROPN
ap-5918	231	2	,	,	PUNCT
ap-5918	231	3	k	k	PROPN
ap-5918	231	4	,	,	PUNCT
ap-5918	231	5	t	t	PROPN
ap-5918	231	6	)	)	PUNCT
ap-5918	231	7	〉	〉	PROPN
ap-5918	231	8	,	,	PUNCT
ap-5918	231	9	(	(	PUNCT
ap-5918	231	10	61	61	NUM
ap-5918	231	11	)	)	PUNCT
ap-5918	231	12	we	we	PRON
ap-5918	231	13	remark	remark	VERB
ap-5918	231	14	that	that	SCONJ
ap-5918	231	15	eq.(61	eq.(61	NOUN
ap-5918	231	16	)	)	PUNCT
ap-5918	231	17	is	be	AUX
ap-5918	231	18	also	also	ADV
ap-5918	231	19	spin	spin	NOUN
ap-5918	231	20	-	-	PUNCT
ap-5918	231	21	independent	independent	ADJ
ap-5918	231	22	in	in	ADP
ap-5918	231	23	its	its	PRON
ap-5918	231	24	state	state	NOUN
ap-5918	231	25	.	.	PUNCT
ap-5918	232	1	but	but	CCONJ
ap-5918	232	2	maybe	maybe	ADV
ap-5918	232	3	the	the	DET
ap-5918	232	4	spin	spin	NOUN
ap-5918	232	5	-	-	PUNCT
ap-5918	232	6	dependent	dependent	ADJ
ap-5918	232	7	part	part	NOUN
ap-5918	232	8	is	be	AUX
ap-5918	232	9	entangled	entangle	VERB
ap-5918	232	10	in	in	ADP
ap-5918	232	11	the	the	DET
ap-5918	232	12	coefficient	coefficient	NOUN
ap-5918	232	13	c.	c.	PROPN
ap-5918	232	14	|φ(λ	|φ(λ	PROPN
ap-5918	232	15	,	,	PUNCT
ap-5918	232	16	k	k	PROPN
ap-5918	232	17	,	,	PUNCT
ap-5918	232	18	t	t	PROPN
ap-5918	232	19	)	)	PUNCT
ap-5918	232	20	〉	〉	PROPN
ap-5918	232	21	are	be	AUX
ap-5918	232	22	the	the	DET
ap-5918	232	23	orthonormal	orthonormal	ADJ
ap-5918	232	24	eigenstates	eigenstate	NOUN
ap-5918	232	25	of	of	ADP
ap-5918	232	26	i(t	i(t	NOUN
ap-5918	232	27	)	)	PUNCT
ap-5918	232	28	,	,	PUNCT
ap-5918	232	29	with	with	ADP
ap-5918	232	30	cλ	cλ	PROPN
ap-5918	232	31	,	,	PUNCT
ap-5918	232	32	k	k	PROPN
ap-5918	232	33	being	be	AUX
ap-5918	232	34	time	time	NOUN
ap-5918	232	35	-	-	PUNCT
ap-5918	232	36	independent	independent	ADJ
ap-5918	232	37	coefficients	coefficient	NOUN
ap-5918	232	38	,	,	PUNCT
ap-5918	232	39	which	which	PRON
ap-5918	232	40	correspond	correspond	VERB
ap-5918	232	41	to	to	ADP
ap-5918	232	42	|ψ(0	|ψ(0	ADJ
ap-5918	232	43	)	)	PUNCT
ap-5918	232	44	〉	〉	PROPN
ap-5918	232	45	cλ	cλ	PROPN
ap-5918	232	46	,	,	PUNCT
ap-5918	232	47	k	k	PROPN
ap-5918	232	48	=	=	PUNCT
ap-5918	232	49	〈	〈	PROPN
ap-5918	232	50	λ	λ	PROPN
ap-5918	232	51	,	,	PUNCT
ap-5918	232	52	k	k	PROPN
ap-5918	232	53	|	|	ADV
ap-5918	232	54	ψ(0	ψ(0	PROPN
ap-5918	232	55	)	)	PUNCT
ap-5918	232	56	〉	〉	NOUN
ap-5918	232	57	.	.	PUNCT
ap-5918	233	1	(	(	PUNCT
ap-5918	233	2	62	62	NUM
ap-5918	233	3	)	)	PUNCT
ap-5918	233	4	for	for	ADP
ap-5918	233	5	a	a	DET
ap-5918	233	6	discrete	discrete	ADJ
ap-5918	233	7	spectrum	spectrum	NOUN
ap-5918	233	8	of	of	ADP
ap-5918	233	9	i(t	i(t	NOUN
ap-5918	233	10	)	)	PUNCT
ap-5918	233	11	,	,	PUNCT
ap-5918	233	12	with	with	ADP
ap-5918	233	13	λ	λ	PROPN
ap-5918	233	14	=	=	PUNCT
ap-5918	233	15	λ	λ	NOUN
ap-5918	233	16	′	′	NOUN
ap-5918	233	17	,	,	PUNCT
ap-5918	234	1	k	k	PROPN
ap-5918	235	1	=	=	PUNCT
ap-5918	235	2	k	k	PROPN
ap-5918	236	1	′	′	NUM
ap-5918	236	2	,	,	PUNCT
ap-5918	236	3	and	and	CCONJ
ap-5918	236	4	from	from	ADP
ap-5918	236	5	eq.(60	eq.(60	PROPN
ap-5918	236	6	)	)	PUNCT
ap-5918	237	1	the	the	DET
ap-5918	237	2	lr	lr	NOUN
ap-5918	237	3	phase	phase	NOUN
ap-5918	237	4	is	be	AUX
ap-5918	237	5	defined	define	VERB
ap-5918	237	6	as	as	ADP
ap-5918	237	7	α(t	α(t	NOUN
ap-5918	237	8	)	)	PUNCT
ap-5918	237	9	=	=	SYM
ap-5918	237	10	�	�	PROPN
ap-5918	237	11	t	t	PROPN
ap-5918	237	12	0	0	NUM
ap-5918	237	13	〈	〈	PROPN
ap-5918	237	14	φ(λ	φ(λ	PROPN
ap-5918	237	15	,	,	PUNCT
ap-5918	237	16	k	k	PROPN
ap-5918	237	17	,	,	PUNCT
ap-5918	237	18	t	t	PROPN
ap-5918	237	19	′	′	NUM
ap-5918	237	20	)	)	PUNCT
ap-5918	237	21	∣∣∣	∣∣∣	NOUN
ap-5918	238	1	i	i	PRON
ap-5918	238	2	∂	∂	NUM
ap-5918	238	3	∂t′	∂t′	PROPN
ap-5918	238	4	−hnc(t	−hnc(t	PROPN
ap-5918	238	5	′	′	NOUN
ap-5918	238	6	)	)	PUNCT
ap-5918	239	1	∣∣∣φ(λ	∣∣∣φ(λ	PROPN
ap-5918	239	2	,	,	PUNCT
ap-5918	239	3	k	k	PROPN
ap-5918	239	4	,	,	PUNCT
ap-5918	239	5	t	t	PROPN
ap-5918	239	6	′	′	NUM
ap-5918	239	7	)	)	PUNCT
ap-5918	239	8	〉	〉	NOUN
ap-5918	239	9	dt	dt	NOUN
ap-5918	239	10	′	′	NUM
ap-5918	239	11	.	.	PUNCT
ap-5918	240	1	(	(	PUNCT
ap-5918	240	2	63	63	NUM
ap-5918	240	3	)	)	PUNCT
ap-5918	240	4	but	but	CCONJ
ap-5918	240	5	in	in	ADP
ap-5918	240	6	the	the	DET
ap-5918	240	7	continuous	continuous	ADJ
ap-5918	240	8	spectrum	spectrum	NOUN
ap-5918	240	9	case	case	NOUN
ap-5918	240	10	,	,	PUNCT
ap-5918	240	11	the	the	DET
ap-5918	240	12	general	general	ADJ
ap-5918	240	13	expression	expression	NOUN
ap-5918	240	14	of	of	ADP
ap-5918	240	15	the	the	DET
ap-5918	240	16	phase	phase	NOUN
ap-5918	240	17	is	be	AUX
ap-5918	240	18	∂αλ	∂αλ	PROPN
ap-5918	240	19	,	,	PUNCT
ap-5918	240	20	k	k	PROPN
ap-5918	240	21	∂t	∂t	PROPN
ap-5918	240	22	〈	〈	PROPN
ap-5918	240	23	φ(λ	φ(λ	PROPN
ap-5918	240	24	′	′	NOUN
ap-5918	240	25	,	,	PUNCT
ap-5918	241	1	k	k	PROPN
ap-5918	241	2	′	′	NUM
ap-5918	241	3	,	,	PUNCT
ap-5918	242	1	t	t	PROPN
ap-5918	242	2	′	′	NUM
ap-5918	243	1	|	|	ADV
ap-5918	243	2	φ(λ	φ(λ	PROPN
ap-5918	243	3	,	,	PUNCT
ap-5918	243	4	k	k	PROPN
ap-5918	243	5	,	,	PUNCT
ap-5918	243	6	t	t	PROPN
ap-5918	243	7	)	)	PUNCT
ap-5918	243	8	〉	〉	NOUN
ap-5918	243	9	=	=	SYM
ap-5918	243	10	〈	〈	PROPN
ap-5918	243	11	φ(λ	φ(λ	PROPN
ap-5918	243	12	′	′	NOUN
ap-5918	243	13	,	,	PUNCT
ap-5918	243	14	k	k	PROPN
ap-5918	244	1	′	′	NUM
ap-5918	244	2	,	,	PUNCT
ap-5918	244	3	t	t	PROPN
ap-5918	244	4	′	′	NUM
ap-5918	244	5	)	)	PUNCT
ap-5918	245	1	∣∣∣	∣∣∣	NOUN
ap-5918	246	1	i	i	PRON
ap-5918	246	2	∂	∂	NOUN
ap-5918	247	1	∂t	∂t	PROPN
ap-5918	247	2	−hnc	−hnc	PROPN
ap-5918	247	3	|φ(λ	|φ(λ	PROPN
ap-5918	247	4	,	,	PUNCT
ap-5918	247	5	k	k	PROPN
ap-5918	247	6	,	,	PUNCT
ap-5918	247	7	t	t	PROPN
ap-5918	247	8	)	)	PUNCT
ap-5918	247	9	〉	〉	PROPN
ap-5918	247	10	,	,	PUNCT
ap-5918	247	11	(	(	PUNCT
ap-5918	247	12	64	64	NUM
ap-5918	247	13	)	)	PUNCT
ap-5918	247	14	where	where	SCONJ
ap-5918	247	15	k	k	PROPN
ap-5918	247	16	is	be	AUX
ap-5918	247	17	an	an	DET
ap-5918	247	18	index	index	NOUN
ap-5918	247	19	that	that	PRON
ap-5918	247	20	varies	vary	VERB
ap-5918	247	21	continuously	continuously	ADV
ap-5918	247	22	in	in	ADP
ap-5918	247	23	the	the	DET
ap-5918	247	24	real	real	ADJ
ap-5918	247	25	values	value	NOUN
ap-5918	247	26	,	,	PUNCT
ap-5918	247	27	thus	thus	ADV
ap-5918	247	28	〈	〈	PROPN
ap-5918	247	29	φ(λ	φ(λ	PROPN
ap-5918	247	30	′	′	NOUN
ap-5918	247	31	,	,	PUNCT
ap-5918	247	32	k	k	PROPN
ap-5918	247	33	′	′	NUM
ap-5918	247	34	,	,	PUNCT
ap-5918	247	35	t	t	PROPN
ap-5918	247	36	′	′	NUM
ap-5918	248	1	|	|	ADV
ap-5918	248	2	φ(λ	φ(λ	PROPN
ap-5918	248	3	,	,	PUNCT
ap-5918	248	4	k	k	PROPN
ap-5918	248	5	,	,	PUNCT
ap-5918	248	6	t	t	PROPN
ap-5918	248	7	)	)	PUNCT
ap-5918	248	8	〉	〉	NOUN
ap-5918	248	9	=	=	PUNCT
ap-5918	248	10	δλλ′	δλλ′	PROPN
ap-5918	248	11	δ(k	δ(k	NOUN
ap-5918	248	12	−	−	PROPN
ap-5918	248	13	k	k	NOUN
ap-5918	248	14	′	′	NUM
ap-5918	248	15	)	)	PUNCT
ap-5918	248	16	,	,	PUNCT
ap-5918	248	17	(	(	PUNCT
ap-5918	248	18	65	65	X
ap-5918	248	19	)	)	PUNCT
ap-5918	248	20	substituting	substitute	VERB
ap-5918	248	21	eq.(65	eq.(65	ADV
ap-5918	248	22	)	)	PUNCT
ap-5918	248	23	in	in	ADP
ap-5918	248	24	eq.(64	eq.(64	NOUN
ap-5918	248	25	)	)	PUNCT
ap-5918	248	26	yields	yield	NOUN
ap-5918	248	27	α(t	α(t	NOUN
ap-5918	248	28	)	)	PUNCT
ap-5918	248	29	=	=	SYM
ap-5918	248	30	�	�	PROPN
ap-5918	248	31	�	�	PROPN
ap-5918	248	32	t	t	PROPN
ap-5918	248	33	0	0	NUM
ap-5918	248	34	〈	〈	PROPN
ap-5918	248	35	φ(λ	φ(λ	PROPN
ap-5918	248	36	,	,	PUNCT
ap-5918	248	37	k	k	PROPN
ap-5918	248	38	′	′	NUM
ap-5918	248	39	,	,	PUNCT
ap-5918	248	40	t	t	PROPN
ap-5918	248	41	′	′	NUM
ap-5918	248	42	)	)	PUNCT
ap-5918	248	43	∣∣∣	∣∣∣	NOUN
ap-5918	249	1	i	i	PRON
ap-5918	249	2	∂	∂	NUM
ap-5918	249	3	∂t′	∂t′	PROPN
ap-5918	249	4	−hnc	−hnc	NOUN
ap-5918	249	5	∣∣∣φ(λ	∣∣∣φ(λ	PROPN
ap-5918	249	6	,	,	PUNCT
ap-5918	249	7	k	k	PROPN
ap-5918	249	8	,	,	PUNCT
ap-5918	249	9	t	t	PROPN
ap-5918	249	10	′	′	NUM
ap-5918	249	11	)	)	PUNCT
ap-5918	249	12	〉	〉	NOUN
ap-5918	249	13	dt	dt	NOUN
ap-5918	249	14	′	′	NUM
ap-5918	250	1	dk	dk	INTJ
ap-5918	250	2	′	′	INTJ
ap-5918	250	3	.	.	PUNCT
ap-5918	251	1	(	(	PUNCT
ap-5918	251	2	66	66	NUM
ap-5918	251	3	)	)	PUNCT
ap-5918	251	4	once	once	SCONJ
ap-5918	251	5	the	the	DET
ap-5918	251	6	expression	expression	NOUN
ap-5918	251	7	of	of	ADP
ap-5918	251	8	the	the	DET
ap-5918	251	9	phase	phase	NOUN
ap-5918	251	10	α(t	α(t	PROPN
ap-5918	251	11	)	)	PUNCT
ap-5918	251	12	is	be	AUX
ap-5918	251	13	found	find	VERB
ap-5918	251	14	,	,	PUNCT
ap-5918	251	15	we	we	PRON
ap-5918	251	16	can	can	AUX
ap-5918	251	17	write	write	VERB
ap-5918	251	18	the	the	DET
ap-5918	251	19	particular	particular	ADJ
ap-5918	251	20	solution	solution	NOUN
ap-5918	251	21	of	of	ADP
ap-5918	251	22	our	our	PRON
ap-5918	251	23	nc	nc	PROPN
ap-5918	251	24	time	time	NOUN
ap-5918	251	25	-	-	PUNCT
ap-5918	251	26	dependent	dependent	ADJ
ap-5918	251	27	dirac	dirac	NOUN
ap-5918	251	28	equation	equation	NOUN
ap-5918	251	29	(	(	PUNCT
ap-5918	251	30	61	61	NUM
ap-5918	251	31	)	)	PUNCT
ap-5918	251	32	.	.	PUNCT
ap-5918	252	1	for	for	ADP
ap-5918	252	2	simplicity	simplicity	NOUN
ap-5918	252	3	,	,	PUNCT
ap-5918	252	4	we	we	PRON
ap-5918	252	5	use	use	VERB
ap-5918	252	6	the	the	DET
ap-5918	252	7	notation	notation	NOUN
ap-5918	252	8	of	of	ADP
ap-5918	252	9	the	the	DET
ap-5918	252	10	discrete	discrete	ADJ
ap-5918	252	11	spectrum	spectrum	NOUN
ap-5918	252	12	of	of	ADP
ap-5918	252	13	i(t	i(t	PROPN
ap-5918	252	14	)	)	PUNCT
ap-5918	252	15	.	.	PUNCT
ap-5918	253	1	we	we	PRON
ap-5918	253	2	see	see	VERB
ap-5918	253	3	that	that	SCONJ
ap-5918	253	4	the	the	DET
ap-5918	253	5	eigenfunction	eigenfunction	NOUN
ap-5918	253	6	of	of	ADP
ap-5918	253	7	i(t	i(t	NOUN
ap-5918	253	8	)	)	PUNCT
ap-5918	253	9	has	have	VERB
ap-5918	253	10	the	the	DET
ap-5918	253	11	form	form	NOUN
ap-5918	253	12	of	of	ADP
ap-5918	253	13	[	[	X
ap-5918	253	14	55	55	NUM
ap-5918	253	15	,	,	PUNCT
ap-5918	253	16	56	56	NUM
ap-5918	253	17	]	]	SYM
ap-5918	253	18	|φλ	|φλ	NOUN
ap-5918	253	19	,	,	PUNCT
ap-5918	253	20	k(x	k(x	PROPN
ap-5918	253	21	,	,	PUNCT
ap-5918	253	22	y	y	PROPN
ap-5918	253	23	,	,	PUNCT
ap-5918	253	24	t	t	PROPN
ap-5918	253	25	)	)	PUNCT
ap-5918	253	26	〉	〉	PROPN
ap-5918	253	27	∝	∝	PROPN
ap-5918	253	28	|λ	|λ	PROPN
ap-5918	253	29	,	,	PUNCT
ap-5918	253	30	k	k	PROPN
ap-5918	253	31	〉	〉	NUM
ap-5918	253	32	exp	exp	NOUN
ap-5918	253	33	[	[	PUNCT
ap-5918	253	34	i	i	PRON
ap-5918	253	35	(	(	PUNCT
ap-5918	253	36	ξ1(t)x+	ξ1(t)x+	NOUN
ap-5918	254	1	ξ2(t)y	ξ2(t)y	CCONJ
ap-5918	254	2	+	+	NUM
ap-5918	254	3	ξ3(t)x2	ξ3(t)x2	X
ap-5918	254	4	+	+	NOUN
ap-5918	254	5	ξ4(t)y2	ξ4(t)y2	NOUN
ap-5918	254	6	)	)	PUNCT
ap-5918	254	7	]	]	PUNCT
ap-5918	254	8	,	,	PUNCT
ap-5918	254	9	(	(	PUNCT
ap-5918	254	10	67	67	NUM
ap-5918	254	11	)	)	PUNCT
ap-5918	254	12	where	where	SCONJ
ap-5918	254	13	ξ1(t	ξ1(t	NOUN
ap-5918	254	14	)	)	PUNCT
ap-5918	254	15	,	,	PUNCT
ap-5918	254	16	ξ2(t	ξ2(t	PROPN
ap-5918	254	17	)	)	PUNCT
ap-5918	254	18	,	,	PUNCT
ap-5918	254	19	ξ3(t	ξ3(t	X
ap-5918	254	20	)	)	PUNCT
ap-5918	254	21	,	,	PUNCT
ap-5918	254	22	ξ4(t	ξ4(t	NUM
ap-5918	254	23	)	)	PUNCT
ap-5918	254	24	are	be	AUX
ap-5918	254	25	arbitrary	arbitrary	ADJ
ap-5918	254	26	time	time	NOUN
ap-5918	254	27	-	-	PUNCT
ap-5918	254	28	dependent	dependent	ADJ
ap-5918	254	29	functions	function	NOUN
ap-5918	254	30	.	.	PUNCT
ap-5918	255	1	by	by	ADP
ap-5918	255	2	substituting	substitute	VERB
ap-5918	255	3	eq.(67	eq.(67	NOUN
ap-5918	255	4	)	)	PUNCT
ap-5918	255	5	into	into	ADP
ap-5918	255	6	eq.(63	eq.(63	NOUN
ap-5918	255	7	)	)	PUNCT
ap-5918	255	8	yields	yield	NOUN
ap-5918	255	9	α(t	α(t	NOUN
ap-5918	255	10	)	)	PUNCT
ap-5918	255	11	=	=	PUNCT
ap-5918	256	1	ϑ−	ϑ−	PROPN
ap-5918	256	2	�	�	PROPN
ap-5918	256	3	t	t	PROPN
ap-5918	256	4	0	0	NUM
ap-5918	257	1	encdt	encdt	PROPN
ap-5918	258	1	′	′	NUM
ap-5918	258	2	,	,	PUNCT
ap-5918	258	3	(	(	PUNCT
ap-5918	258	4	68	68	NUM
ap-5918	258	5	)	)	PUNCT
ap-5918	258	6	with	with	ADP
ap-5918	258	7	ϑ(x	ϑ(x	PROPN
ap-5918	258	8	,	,	PUNCT
ap-5918	258	9	y	y	PROPN
ap-5918	258	10	,	,	PUNCT
ap-5918	258	11	t	t	PROPN
ap-5918	258	12	)	)	PUNCT
ap-5918	258	13	=	=	PUNCT
ap-5918	259	1	(	(	PUNCT
ap-5918	259	2	ξ1(0)−	ξ1(0)−	NOUN
ap-5918	259	3	ξ1(t))x+	ξ1(t))x+	NOUN
ap-5918	259	4	(	(	PUNCT
ap-5918	259	5	ξ2(0)−	ξ2(0)−	PROPN
ap-5918	259	6	ξ2(t	ξ2(t	PROPN
ap-5918	259	7	)	)	PUNCT
ap-5918	259	8	)	)	PUNCT
ap-5918	260	1	y	y	PROPN
ap-5918	260	2	+	+	CCONJ
ap-5918	260	3	(	(	PUNCT
ap-5918	260	4	ξ3(0)−	ξ3(0)−	PROPN
ap-5918	260	5	ξ3(t))x2	ξ3(t))x2	NOUN
ap-5918	261	1	+	+	CCONJ
ap-5918	261	2	(	(	PUNCT
ap-5918	261	3	ξ4(0)−	ξ4(0)−	NOUN
ap-5918	261	4	ξ4(t	ξ4(t	PROPN
ap-5918	261	5	)	)	PUNCT
ap-5918	261	6	)	)	PUNCT
ap-5918	261	7	y2	y2	NOUN
ap-5918	261	8	,	,	PUNCT
ap-5918	261	9	(	(	PUNCT
ap-5918	261	10	69	69	NUM
ap-5918	261	11	)	)	PUNCT
ap-5918	261	12	and	and	CCONJ
ap-5918	261	13	enc	enc	PROPN
ap-5918	261	14	is	be	AUX
ap-5918	261	15	the	the	DET
ap-5918	261	16	eigenvalue	eigenvalue	NOUN
ap-5918	261	17	of	of	ADP
ap-5918	261	18	the	the	DET
ap-5918	261	19	hamiltonian	hamiltonian	NOUN
ap-5918	261	20	(	(	PUNCT
ap-5918	261	21	12	12	NUM
ap-5918	261	22	)	)	PUNCT
ap-5918	261	23	.	.	PUNCT
ap-5918	262	1	finally	finally	ADV
ap-5918	262	2	,	,	PUNCT
ap-5918	262	3	the	the	DET
ap-5918	262	4	solution	solution	NOUN
ap-5918	262	5	of	of	ADP
ap-5918	262	6	the	the	DET
ap-5918	262	7	nc	nc	PROPN
ap-5918	262	8	dirac	dirac	PROPN
ap-5918	262	9	equation	equation	NOUN
ap-5918	262	10	(	(	PUNCT
ap-5918	262	11	13	13	NUM
ap-5918	262	12	)	)	PUNCT
ap-5918	262	13	is	be	AUX
ap-5918	262	14	[	[	X
ap-5918	262	15	46	46	NUM
ap-5918	262	16	]	]	SYM
ap-5918	262	17	∣∣ψ̄(t	∣∣ψ̄(t	NOUN
ap-5918	262	18	)	)	PUNCT
ap-5918	262	19	〉	〉	NOUN
ap-5918	262	20	=	=	SYM
ap-5918	262	21	∑	∑	PUNCT
ap-5918	262	22	λ	λ	PROPN
ap-5918	262	23	,	,	PUNCT
ap-5918	262	24	k	k	PROPN
ap-5918	262	25	cλ	cλ	PROPN
ap-5918	262	26	,	,	PUNCT
ap-5918	262	27	ke	ke	PROPN
ap-5918	262	28	i[ϑ−	i[ϑ−	ADJ
ap-5918	262	29	�	�	PROPN
ap-5918	263	1	t	t	PROPN
ap-5918	263	2	0	0	NUM
ap-5918	263	3	e	e	NOUN
ap-5918	263	4	ncdt	ncdt	ADV
ap-5918	263	5	′	′	NUM
ap-5918	263	6	]	]	PUNCT
ap-5918	264	1	|φ(λ	|φ(λ	PROPN
ap-5918	264	2	,	,	PUNCT
ap-5918	264	3	k	k	PROPN
ap-5918	264	4	,	,	PUNCT
ap-5918	264	5	t	t	PROPN
ap-5918	264	6	)	)	PUNCT
ap-5918	264	7	〉	〉	PROPN
ap-5918	264	8	,	,	PUNCT
ap-5918	264	9	(	(	PUNCT
ap-5918	264	10	70	70	NUM
ap-5918	264	11	)	)	PUNCT
ap-5918	264	12	117	117	NUM
ap-5918	264	13	ilyas	ilyas	PROPN
ap-5918	264	14	haouam	haouam	VERB
ap-5918	264	15	acta	acta	PROPN
ap-5918	264	16	polytechnica	polytechnica	PROPN
ap-5918	264	17	3.4	3.4	NUM
ap-5918	264	18	.	.	PUNCT
ap-5918	265	1	the	the	DET
ap-5918	265	2	exact	exact	ADJ
ap-5918	265	3	form	form	NOUN
ap-5918	265	4	of	of	ADP
ap-5918	265	5	the	the	DET
ap-5918	265	6	solutions	solution	NOUN
ap-5918	265	7	of	of	ADP
ap-5918	265	8	the	the	DET
ap-5918	265	9	problem	problem	NOUN
ap-5918	265	10	as	as	SCONJ
ap-5918	265	11	agreed	agree	VERB
ap-5918	265	12	[	[	X
ap-5918	265	13	55–57	55–57	NUM
ap-5918	265	14	]	]	PUNCT
ap-5918	265	15	,	,	PUNCT
ap-5918	265	16	the	the	DET
ap-5918	265	17	wave	wave	NOUN
ap-5918	265	18	function	function	NOUN
ap-5918	265	19	of	of	ADP
ap-5918	265	20	the	the	DET
ap-5918	265	21	nc	nc	PROPN
ap-5918	265	22	dirac	dirac	PROPN
ap-5918	265	23	equation	equation	NOUN
ap-5918	265	24	is	be	AUX
ap-5918	265	25	given	give	VERB
ap-5918	265	26	by	by	ADP
ap-5918	265	27	the	the	DET
ap-5918	265	28	following	follow	VERB
ap-5918	265	29	trial	trial	NOUN
ap-5918	265	30	function∣∣ψ̄(x	function∣∣ψ̄(x	NOUN
ap-5918	265	31	,	,	PUNCT
ap-5918	265	32	y	y	PROPN
ap-5918	265	33	,	,	PUNCT
ap-5918	265	34	t	t	PROPN
ap-5918	265	35	)	)	PUNCT
ap-5918	265	36	〉	〉	NOUN
ap-5918	265	37	=	=	SYM
ap-5918	265	38	f(t	f(t	NOUN
ap-5918	265	39	)	)	PUNCT
ap-5918	265	40	|φ(x	|φ(x	PROPN
ap-5918	265	41	,	,	PUNCT
ap-5918	265	42	y	y	PROPN
ap-5918	265	43	,	,	PUNCT
ap-5918	265	44	t	t	PROPN
ap-5918	265	45	〉	〉	NUM
ap-5918	265	46	,	,	PUNCT
ap-5918	265	47	(	(	PUNCT
ap-5918	265	48	71	71	NUM
ap-5918	265	49	)	)	PUNCT
ap-5918	265	50	where	where	SCONJ
ap-5918	265	51	f	f	PROPN
ap-5918	265	52	is	be	AUX
ap-5918	265	53	a	a	DET
ap-5918	265	54	time	time	NOUN
ap-5918	265	55	-	-	PUNCT
ap-5918	265	56	dependent	dependent	ADJ
ap-5918	265	57	vector	vector	NOUN
ap-5918	265	58	of	of	ADP
ap-5918	265	59	2	2	NUM
ap-5918	265	60	components	component	NOUN
ap-5918	265	61	(	(	PUNCT
ap-5918	265	62	2×	2×	NUM
ap-5918	265	63	1	1	NUM
ap-5918	265	64	)	)	PUNCT
ap-5918	265	65	f(t	f(t	NOUN
ap-5918	265	66	)	)	PUNCT
ap-5918	265	67	=	=	PRON
ap-5918	265	68	(	(	PUNCT
ap-5918	265	69	f1(t	f1(t	PROPN
ap-5918	265	70	)	)	PUNCT
ap-5918	265	71	f2(t	f2(t	PROPN
ap-5918	265	72	)	)	PUNCT
ap-5918	265	73	)	)	PUNCT
ap-5918	265	74	,	,	PUNCT
ap-5918	265	75	(	(	PUNCT
ap-5918	265	76	72	72	NUM
ap-5918	265	77	)	)	PUNCT
ap-5918	265	78	as	as	ADV
ap-5918	265	79	long	long	ADV
ap-5918	265	80	as	as	ADP
ap-5918	265	81	i(t	i(t	NOUN
ap-5918	265	82	)	)	PUNCT
ap-5918	265	83	is	be	AUX
ap-5918	265	84	independent	independent	ADJ
ap-5918	265	85	in	in	ADP
ap-5918	265	86	time	time	NOUN
ap-5918	265	87	,	,	PUNCT
ap-5918	265	88	eq.(15	eq.(15	NOUN
ap-5918	265	89	)	)	PUNCT
ap-5918	265	90	goes	go	VERB
ap-5918	265	91	to	to	ADP
ap-5918	265	92	eq.(13	eq.(13	ADJ
ap-5918	265	93	)	)	PUNCT
ap-5918	265	94	.	.	PUNCT
ap-5918	266	1	then	then	ADV
ap-5918	266	2	the	the	DET
ap-5918	266	3	substitution	substitution	NOUN
ap-5918	266	4	of	of	ADP
ap-5918	266	5	eq.(71	eq.(71	NOUN
ap-5918	266	6	)	)	PUNCT
ap-5918	266	7	into	into	ADP
ap-5918	266	8	eq.(13	eq.(13	NOUN
ap-5918	266	9	)	)	PUNCT
ap-5918	266	10	,	,	PUNCT
ap-5918	266	11	and	and	CCONJ
ap-5918	266	12	using	use	VERB
ap-5918	266	13	eqs.(67	eqs.(67	PROPN
ap-5918	266	14	,	,	PUNCT
ap-5918	266	15	7	7	X
ap-5918	266	16	)	)	PUNCT
ap-5918	266	17	give	give	VERB
ap-5918	266	18	{	{	PUNCT
ap-5918	266	19	i	i	PRON
ap-5918	266	20	∂f1	∂f1	PROPN
ap-5918	266	21	∂t	∂t	PROPN
ap-5918	266	22	−f1	−f1	PROPN
ap-5918	266	23	∂ξ1	∂ξ1	PROPN
ap-5918	266	24	∂t	∂t	PROPN
ap-5918	266	25	x−f1	x−f1	PROPN
ap-5918	267	1	∂ξ2	∂ξ2	PROPN
ap-5918	267	2	∂t	∂t	PROPN
ap-5918	267	3	y	y	PROPN
ap-5918	267	4	−f1	−f1	PROPN
ap-5918	267	5	∂ξ3	∂ξ3	PROPN
ap-5918	268	1	∂t	∂t	PROPN
ap-5918	268	2	x2	x2	PROPN
ap-5918	268	3	−f1	−f1	PROPN
ap-5918	268	4	∂ξ4	∂ξ4	VERB
ap-5918	268	5	∂t	∂t	PROPN
ap-5918	268	6	y2	y2	PROPN
ap-5918	269	1	i	i	PRON
ap-5918	269	2	∂f2	∂f2	VERB
ap-5918	269	3	∂t	∂t	PROPN
ap-5918	269	4	−f2	−f2	PROPN
ap-5918	269	5	∂ξ1	∂ξ1	PROPN
ap-5918	269	6	∂t	∂t	PROPN
ap-5918	269	7	x−f2	x−f2	PROPN
ap-5918	270	1	∂ξ2	∂ξ2	PROPN
ap-5918	270	2	∂t	∂t	PROPN
ap-5918	270	3	y	y	PROPN
ap-5918	270	4	−f2	−f2	PROPN
ap-5918	271	1	∂ξ3	∂ξ3	PROPN
ap-5918	271	2	∂t	∂t	PROPN
ap-5918	271	3	x2	x2	PROPN
ap-5918	271	4	−f2	−f2	PROPN
ap-5918	271	5	∂ξ4	∂ξ4	VERB
ap-5918	271	6	∂t	∂t	PROPN
ap-5918	271	7	y2	y2	PROPN
ap-5918	271	8	}	}	PUNCT
ap-5918	271	9	=	=	NOUN
ap-5918	271	10	{	{	PUNCT
ap-5918	271	11	m	m	VERB
ap-5918	271	12	α1fθpx	α1fθpx	ADJ
ap-5918	271	13	−	−	PROPN
ap-5918	272	1	α2fηx+	α2fηx+	PRON
ap-5918	272	2	α2fθpy	α2fθpy	NOUN
ap-5918	272	3	+	+	CCONJ
ap-5918	272	4	α1fηy	α1fηy	PROPN
ap-5918	272	5	α1fθpx	α1fθpx	ADJ
ap-5918	272	6	−	−	PROPN
ap-5918	273	1	α2fηx+	α2fηx+	PRON
ap-5918	273	2	α2fθpy	α2fθpy	NOUN
ap-5918	273	3	+	+	CCONJ
ap-5918	273	4	α1fηy	α1fηy	PROPN
ap-5918	273	5	−m	−m	ADJ
ap-5918	273	6	}	}	PUNCT
ap-5918	273	7	×	×	NOUN
ap-5918	273	8	(	(	PUNCT
ap-5918	273	9	f1	f1	NOUN
ap-5918	273	10	f2	f2	PROPN
ap-5918	273	11	)	)	PUNCT
ap-5918	273	12	,	,	PUNCT
ap-5918	273	13	(	(	PUNCT
ap-5918	273	14	73	73	NUM
ap-5918	273	15	)	)	PUNCT
ap-5918	273	16	then	then	ADV
ap-5918	273	17	,	,	PUNCT
ap-5918	273	18	we	we	PRON
ap-5918	273	19	obtain	obtain	VERB
ap-5918	273	20	i∂f1	i∂f1	ADJ
ap-5918	273	21	∂t	∂t	PROPN
ap-5918	273	22	−f1	−f1	PROPN
ap-5918	274	1	∂ξ1	∂ξ1	PROPN
ap-5918	274	2	∂t	∂t	PROPN
ap-5918	274	3	x−f1	x−f1	PROPN
ap-5918	275	1	∂ξ2	∂ξ2	PROPN
ap-5918	275	2	∂t	∂t	PROPN
ap-5918	275	3	y	y	PROPN
ap-5918	275	4	−f1	−f1	PROPN
ap-5918	276	1	∂ξ3	∂ξ3	PROPN
ap-5918	276	2	∂t	∂t	PROPN
ap-5918	276	3	x	x	SYM
ap-5918	276	4	2	2	NUM
ap-5918	276	5	−f1	−f1	NOUN
ap-5918	276	6	∂ξ4	∂ξ4	VERB
ap-5918	276	7	∂t	∂t	PROPN
ap-5918	276	8	y	y	NOUN
ap-5918	276	9	2	2	NUM
ap-5918	276	10	=	=	SYM
ap-5918	277	1	fθf2px	fθf2px	ADJ
ap-5918	277	2	+	+	CCONJ
ap-5918	277	3	ifηf2x−	ifηf2x−	PROPN
ap-5918	277	4	ifθf2py	ifθf2py	PROPN
ap-5918	277	5	+	+	CCONJ
ap-5918	277	6	fηf2y	fηf2y	PUNCT
ap-5918	278	1	+	+	NOUN
ap-5918	278	2	mf1	mf1	NOUN
ap-5918	278	3	i∂f2	i∂f2	PROPN
ap-5918	278	4	∂t	∂t	PROPN
ap-5918	278	5	−f2	−f2	PROPN
ap-5918	278	6	∂ξ1	∂ξ1	PROPN
ap-5918	278	7	∂t	∂t	PROPN
ap-5918	278	8	x−f2	x−f2	PROPN
ap-5918	279	1	∂ξ2	∂ξ2	PROPN
ap-5918	279	2	∂t	∂t	PROPN
ap-5918	279	3	y	y	PROPN
ap-5918	279	4	−f2	−f2	PROPN
ap-5918	280	1	∂ξ3	∂ξ3	PROPN
ap-5918	280	2	∂t	∂t	PROPN
ap-5918	280	3	x	x	SYM
ap-5918	280	4	2	2	NUM
ap-5918	280	5	−f2	−f2	NOUN
ap-5918	280	6	∂ξ4	∂ξ4	NOUN
ap-5918	280	7	∂t	∂t	PROPN
ap-5918	280	8	y	y	PROPN
ap-5918	280	9	2	2	NUM
ap-5918	280	10	=	=	PUNCT
ap-5918	280	11	fθf1px	fθf1px	X
ap-5918	280	12	−	−	NOUN
ap-5918	280	13	ifηf1x+	ifηf1x+	NOUN
ap-5918	280	14	ifθf1py	ifθf1py	NOUN
ap-5918	280	15	+	+	CCONJ
ap-5918	280	16	fηf1y	fηf1y	X
ap-5918	280	17	−mf2	−mf2	NUM
ap-5918	280	18	,	,	PUNCT
ap-5918	280	19	(	(	PUNCT
ap-5918	280	20	74	74	NUM
ap-5918	280	21	)	)	PUNCT
ap-5918	280	22	by	by	ADP
ap-5918	280	23	solving	solve	VERB
ap-5918	280	24	the	the	DET
ap-5918	280	25	above	above	ADJ
ap-5918	280	26	system	system	NOUN
ap-5918	280	27	of	of	ADP
ap-5918	280	28	equations	equation	NOUN
ap-5918	280	29	,	,	PUNCT
ap-5918	280	30	we	we	PRON
ap-5918	280	31	find	find	VERB
ap-5918	280	32	∂f1	∂f1	PROPN
ap-5918	280	33	∂t	∂t	PROPN
ap-5918	280	34	=	=	SYM
ap-5918	280	35	−imf1	−imf1	PROPN
ap-5918	280	36	,	,	PUNCT
ap-5918	280	37	∂f2	∂f2	VERB
ap-5918	280	38	∂t	∂t	PROPN
ap-5918	280	39	=	=	SYM
ap-5918	280	40	imf2	imf2	PROPN
ap-5918	280	41	,	,	PUNCT
ap-5918	280	42	(	(	PUNCT
ap-5918	280	43	75	75	NUM
ap-5918	280	44	)	)	PUNCT
ap-5918	280	45	f1	f1	NOUN
ap-5918	281	1	∂ξ1	∂ξ1	PROPN
ap-5918	281	2	∂t	∂t	PROPN
ap-5918	282	1	=	=	PUNCT
ap-5918	282	2	−i{eb2	−i{eb2	PROPN
ap-5918	282	3	+	+	CCONJ
ap-5918	282	4	η	η	PROPN
ap-5918	282	5	2e	2e	PROPN
ap-5918	282	6	−γt}f2	−γt}f2	NOUN
ap-5918	282	7	,	,	PUNCT
ap-5918	282	8	(	(	PUNCT
ap-5918	282	9	76	76	NUM
ap-5918	282	10	)	)	PUNCT
ap-5918	282	11	f1	f1	NOUN
ap-5918	282	12	∂ξ2	∂ξ2	PROPN
ap-5918	282	13	∂t	∂t	PROPN
ap-5918	282	14	=	=	PUNCT
ap-5918	282	15	−{eb2	−{eb2	PROPN
ap-5918	282	16	+	+	CCONJ
ap-5918	282	17	η	η	PROPN
ap-5918	282	18	2e	2e	PROPN
ap-5918	282	19	−γt}f2	−γt}f2	NOUN
ap-5918	282	20	,	,	PUNCT
ap-5918	282	21	(	(	PUNCT
ap-5918	282	22	77	77	NUM
ap-5918	282	23	)	)	PUNCT
ap-5918	282	24	∂ξ3	∂ξ3	NOUN
ap-5918	283	1	∂t	∂t	PROPN
ap-5918	283	2	=	=	PUNCT
ap-5918	283	3	∂ξ4	∂ξ4	VERB
ap-5918	283	4	∂t	∂t	PROPN
ap-5918	283	5	=	=	SYM
ap-5918	283	6	0	0	PROPN
ap-5918	283	7	,	,	PUNCT
ap-5918	283	8	(	(	PUNCT
ap-5918	283	9	78	78	NUM
ap-5918	283	10	)	)	PUNCT
ap-5918	283	11	which	which	PRON
ap-5918	283	12	leads	lead	VERB
ap-5918	283	13	to	to	ADP
ap-5918	283	14	obtaining	obtain	VERB
ap-5918	283	15	f1	f1	NOUN
ap-5918	283	16	=	=	SYM
ap-5918	283	17	e−imt+q1	e−imt+q1	PROPN
ap-5918	283	18	,	,	PUNCT
ap-5918	283	19	f2	f2	ADV
ap-5918	283	20	=	=	SYM
ap-5918	283	21	eimt+q2	eimt+q2	INTJ
ap-5918	283	22	,	,	PUNCT
ap-5918	283	23	(	(	PUNCT
ap-5918	283	24	79	79	NUM
ap-5918	283	25	)	)	PUNCT
ap-5918	283	26	∂ξ1	∂ξ1	PROPN
ap-5918	283	27	∂t	∂t	PROPN
ap-5918	284	1	=	=	PUNCT
ap-5918	285	1	i	i	PRON
ap-5918	285	2	∂ξ2	∂ξ2	PROPN
ap-5918	285	3	∂t	∂t	PROPN
ap-5918	285	4	=	=	PUNCT
ap-5918	285	5	−i{eb2	−i{eb2	PROPN
ap-5918	285	6	+	+	CCONJ
ap-5918	285	7	η	η	PROPN
ap-5918	285	8	2e	2e	PROPN
ap-5918	285	9	−γt}ei2mt+q2−q1	−γt}ei2mt+q2−q1	NOUN
ap-5918	285	10	,	,	PUNCT
ap-5918	285	11	(	(	PUNCT
ap-5918	285	12	80	80	NUM
ap-5918	285	13	)	)	PUNCT
ap-5918	285	14	ξ1	ξ1	NOUN
ap-5918	285	15	=	=	PUNCT
ap-5918	285	16	iξ2	iξ2	PROPN
ap-5918	285	17	=	=	SYM
ap-5918	285	18	−i	−i	ADJ
ap-5918	285	19	{	{	PUNCT
ap-5918	285	20	κ	κ	PROPN
ap-5918	285	21	4l2bim	4l2bim	NUM
ap-5918	286	1	ei2mt	ei2mt	NOUN
ap-5918	287	1	+	+	CCONJ
ap-5918	287	2	ηκ	ηκ	NOUN
ap-5918	287	3	4im−	4im−	NOUN
ap-5918	287	4	2γ	2γ	X
ap-5918	287	5	e	e	X
ap-5918	287	6	(	(	PUNCT
ap-5918	287	7	−γ+i2m)t	−γ+i2m)t	PROPN
ap-5918	287	8	}	}	PUNCT
ap-5918	287	9	,	,	PUNCT
ap-5918	287	10	(	(	PUNCT
ap-5918	287	11	81	81	NUM
ap-5918	287	12	)	)	PUNCT
ap-5918	287	13	with	with	ADP
ap-5918	287	14	q1	q1	PROPN
ap-5918	287	15	,	,	PUNCT
ap-5918	287	16	q2	q2	NOUN
ap-5918	287	17	and	and	CCONJ
ap-5918	287	18	κ	κ	PROPN
ap-5918	287	19	=	=	PROPN
ap-5918	287	20	eq2−q1	eq2−q1	PROPN
ap-5918	287	21	being	be	AUX
ap-5918	287	22	real	real	ADJ
ap-5918	287	23	constants	constant	NOUN
ap-5918	287	24	,	,	PUNCT
ap-5918	287	25	l−1	l−1	PROPN
ap-5918	287	26	b	b	X
ap-5918	287	27	=	=	PUNCT
ap-5918	287	28	√	√	PROPN
ap-5918	287	29	eb	eb	PROPN
ap-5918	287	30	is	be	AUX
ap-5918	287	31	the	the	DET
ap-5918	287	32	magnetic	magnetic	ADJ
ap-5918	287	33	length	length	NOUN
ap-5918	288	1	[	[	X
ap-5918	288	2	58	58	NUM
ap-5918	288	3	]	]	PUNCT
ap-5918	288	4	.	.	PUNCT
ap-5918	289	1	in	in	ADP
ap-5918	289	2	commutative	commutative	ADJ
ap-5918	289	3	case	case	NOUN
ap-5918	289	4	(	(	PUNCT
ap-5918	289	5	θ	θ	NOUN
ap-5918	289	6	=	=	SYM
ap-5918	289	7	η	η	PROPN
ap-5918	289	8	=	=	PROPN
ap-5918	289	9	γ	γ	X
ap-5918	289	10	=	=	SYM
ap-5918	289	11	0	0	NUM
ap-5918	289	12	)	)	PUNCT
ap-5918	289	13	,	,	PUNCT
ap-5918	289	14	then	then	ADV
ap-5918	289	15	the	the	DET
ap-5918	289	16	above	above	ADJ
ap-5918	289	17	relations	relation	NOUN
ap-5918	289	18	(	(	PUNCT
ap-5918	289	19	79	79	NUM
ap-5918	289	20	,	,	PUNCT
ap-5918	289	21	81	81	NUM
ap-5918	289	22	)	)	PUNCT
ap-5918	289	23	return	return	NOUN
ap-5918	289	24	to	to	ADP
ap-5918	289	25	that	that	PRON
ap-5918	289	26	of	of	ADP
ap-5918	289	27	general	general	ADJ
ap-5918	289	28	quantum	quantum	ADJ
ap-5918	289	29	mechanics	mechanic	NOUN
ap-5918	289	30	ξ1(t	ξ1(t	PROPN
ap-5918	289	31	)	)	PUNCT
ap-5918	289	32	=	=	SYM
ap-5918	289	33	iξ2(t	iξ2(t	PROPN
ap-5918	289	34	)	)	PUNCT
ap-5918	289	35	=	=	PUNCT
ap-5918	290	1	−	−	PROPN
ap-5918	290	2	κ	κ	X
ap-5918	290	3	4l2bm	4l2bm	PROPN
ap-5918	290	4	ei2mt	ei2mt	PROPN
ap-5918	290	5	,	,	PUNCT
ap-5918	290	6	|φ(x	|φ(x	PROPN
ap-5918	290	7	,	,	PUNCT
ap-5918	290	8	y	y	PROPN
ap-5918	290	9	,	,	PUNCT
ap-5918	290	10	t	t	PROPN
ap-5918	290	11	〉	〉	NUM
ap-5918	290	12	|η	|η	NOUN
ap-5918	291	1	=	=	NOUN
ap-5918	291	2	γ=0	γ=0	NOUN
ap-5918	291	3	∼	∼	NOUN
ap-5918	291	4	e	e	NOUN
ap-5918	291	5	−	−	NOUN
ap-5918	292	1	iκ	iκ	VERB
ap-5918	293	1	4l2	4l2	NUM
ap-5918	294	1	b	b	NOUN
ap-5918	294	2	m	m	VERB
ap-5918	294	3	ei2mt(x+iy)+o1ix	ei2mt(x+iy)+o1ix	PROPN
ap-5918	294	4	2+o2iy	2+o2iy	NUM
ap-5918	294	5	2	2	NUM
ap-5918	294	6	,	,	PUNCT
ap-5918	294	7	(	(	PUNCT
ap-5918	294	8	82	82	NUM
ap-5918	294	9	)	)	PUNCT
ap-5918	294	10	with	with	ADP
ap-5918	294	11	o1	o1	NOUN
ap-5918	294	12	,	,	PUNCT
ap-5918	294	13	o2	o2	PROPN
ap-5918	294	14	are	be	AUX
ap-5918	294	15	real	real	ADJ
ap-5918	294	16	constants	constant	NOUN
ap-5918	294	17	,	,	PUNCT
ap-5918	294	18	and	and	CCONJ
ap-5918	294	19	in	in	ADP
ap-5918	294	20	t	t	NOUN
ap-5918	295	1	=	=	SYM
ap-5918	295	2	0	0	PUNCT
ap-5918	295	3	ξ1(t	ξ1(t	NOUN
ap-5918	295	4	=	=	NOUN
ap-5918	295	5	0	0	NUM
ap-5918	295	6	)	)	PUNCT
ap-5918	296	1	=	=	SYM
ap-5918	296	2	iξ2(t	iξ2(t	NOUN
ap-5918	296	3	=	=	PUNCT
ap-5918	296	4	0	0	NUM
ap-5918	296	5	)	)	PUNCT
ap-5918	296	6	=	=	NOUN
ap-5918	297	1	−	−	PROPN
ap-5918	297	2	κ	κ	X
ap-5918	297	3	4l2bm	4l2bm	NUM
ap-5918	297	4	,	,	PUNCT
ap-5918	297	5	and	and	CCONJ
ap-5918	297	6	f1	f1	NOUN
ap-5918	297	7	=	=	SYM
ap-5918	297	8	κf2	κf2	PROPN
ap-5918	297	9	=	=	SYM
ap-5918	297	10	eq1	eq1	PROPN
ap-5918	297	11	.	.	PUNCT
ap-5918	298	1	(	(	PUNCT
ap-5918	298	2	83	83	NUM
ap-5918	298	3	)	)	SYM
ap-5918	298	4	4	4	NUM
ap-5918	298	5	.	.	PUNCT
ap-5918	298	6	conclusion	conclusion	NOUN
ap-5918	298	7	in	in	ADP
ap-5918	298	8	conclusion	conclusion	NOUN
ap-5918	298	9	,	,	PUNCT
ap-5918	298	10	the	the	DET
ap-5918	298	11	dynamics	dynamic	NOUN
ap-5918	298	12	of	of	ADP
ap-5918	298	13	the	the	DET
ap-5918	298	14	system	system	NOUN
ap-5918	298	15	of	of	ADP
ap-5918	298	16	a	a	DET
ap-5918	298	17	time	time	NOUN
ap-5918	298	18	-	-	PUNCT
ap-5918	298	19	dependent	dependent	ADJ
ap-5918	298	20	nc	nc	PROPN
ap-5918	298	21	dirac	dirac	PROPN
ap-5918	298	22	equation	equation	NOUN
ap-5918	298	23	has	have	AUX
ap-5918	298	24	been	be	AUX
ap-5918	298	25	analysed	analyse	VERB
ap-5918	298	26	and	and	CCONJ
ap-5918	298	27	formulated	formulated	ADJ
ap-5918	298	28	using	use	VERB
ap-5918	298	29	the	the	DET
ap-5918	298	30	lr	lr	PROPN
ap-5918	298	31	invariant	invariant	ADJ
ap-5918	298	32	method	method	NOUN
ap-5918	298	33	.	.	PUNCT
ap-5918	299	1	we	we	PRON
ap-5918	299	2	introduced	introduce	VERB
ap-5918	299	3	the	the	DET
ap-5918	299	4	time	time	NOUN
ap-5918	299	5	-	-	PUNCT
ap-5918	299	6	dependent	dependent	ADJ
ap-5918	299	7	noncommutativity	noncommutativity	NOUN
ap-5918	299	8	using	use	VERB
ap-5918	299	9	a	a	DET
ap-5918	299	10	timedependent	timedependent	NOUN
ap-5918	299	11	bopp	bopp	VERB
ap-5918	299	12	-	-	PUNCT
ap-5918	299	13	shift	shift	NOUN
ap-5918	299	14	translation	translation	NOUN
ap-5918	299	15	.	.	PUNCT
ap-5918	300	1	knowing	know	VERB
ap-5918	300	2	that	that	SCONJ
ap-5918	300	3	the	the	DET
ap-5918	300	4	nc	nc	PROPN
ap-5918	300	5	structure	structure	PROPN
ap-5918	300	6	constants	constant	NOUN
ap-5918	300	7	postulated	postulate	VERB
ap-5918	300	8	expanding	expand	VERB
ap-5918	300	9	exponentially	exponentially	ADV
ap-5918	300	10	with	with	ADP
ap-5918	300	11	the	the	DET
ap-5918	300	12	evolution	evolution	NOUN
ap-5918	300	13	of	of	ADP
ap-5918	300	14	time	time	NOUN
ap-5918	300	15	,	,	PUNCT
ap-5918	300	16	and	and	CCONJ
ap-5918	300	17	the	the	DET
ap-5918	300	18	time	time	NOUN
ap-5918	300	19	-	-	PUNCT
ap-5918	300	20	dependency	dependency	NOUN
ap-5918	300	21	have	have	VERB
ap-5918	300	22	a	a	DET
ap-5918	300	23	multitude	multitude	NOUN
ap-5918	300	24	of	of	ADP
ap-5918	300	25	other	other	ADJ
ap-5918	300	26	possibilities	possibility	NOUN
ap-5918	300	27	.	.	PUNCT
ap-5918	301	1	we	we	PRON
ap-5918	301	2	benefit	benefit	VERB
ap-5918	301	3	from	from	ADP
ap-5918	301	4	the	the	DET
ap-5918	301	5	dynamical	dynamical	ADJ
ap-5918	301	6	invariant	invariant	NOUN
ap-5918	301	7	following	follow	VERB
ap-5918	301	8	the	the	DET
ap-5918	301	9	standard	standard	ADJ
ap-5918	301	10	procedure	procedure	NOUN
ap-5918	301	11	allowed	allow	VERB
ap-5918	301	12	to	to	PART
ap-5918	301	13	construct	construct	VERB
ap-5918	301	14	and	and	CCONJ
ap-5918	301	15	to	to	PART
ap-5918	301	16	obtain	obtain	VERB
ap-5918	301	17	an	an	DET
ap-5918	301	18	analytical	analytical	ADJ
ap-5918	301	19	solution	solution	NOUN
ap-5918	301	20	of	of	ADP
ap-5918	301	21	the	the	DET
ap-5918	301	22	system	system	NOUN
ap-5918	301	23	.	.	PUNCT
ap-5918	302	1	having	having	AUX
ap-5918	302	2	obtained	obtain	VERB
ap-5918	302	3	the	the	DET
ap-5918	302	4	explicit	explicit	ADJ
ap-5918	302	5	solutions	solution	NOUN
ap-5918	302	6	could	could	AUX
ap-5918	302	7	also	also	ADV
ap-5918	302	8	help	help	VERB
ap-5918	302	9	to	to	PART
ap-5918	302	10	investigate	investigate	VERB
ap-5918	302	11	and	and	CCONJ
ap-5918	302	12	reformulate	reformulate	VERB
ap-5918	302	13	the	the	DET
ap-5918	302	14	modified	modify	VERB
ap-5918	302	15	version	version	NOUN
ap-5918	302	16	of	of	ADP
ap-5918	302	17	heisenberg	heisenberg	PROPN
ap-5918	302	18	’s	’s	PART
ap-5918	302	19	uncertainty	uncertainty	NOUN
ap-5918	302	20	relations	relation	NOUN
ap-5918	302	21	emerging	emerge	VERB
ap-5918	302	22	from	from	ADP
ap-5918	302	23	non	non	ADJ
ap-5918	302	24	-	-	ADJ
ap-5918	302	25	vanishing	vanishing	ADJ
ap-5918	302	26	commutation	commutation	NOUN
ap-5918	302	27	relations	relation	NOUN
ap-5918	302	28	(	(	PUNCT
ap-5918	302	29	1	1	NUM
ap-5918	302	30	)	)	PUNCT
ap-5918	302	31	.	.	PUNCT
ap-5918	303	1	the	the	DET
ap-5918	303	2	uncertainty	uncertainty	NOUN
ap-5918	303	3	for	for	ADP
ap-5918	303	4	the	the	DET
ap-5918	303	5	observables	observable	NOUN
ap-5918	303	6	a	a	PRON
ap-5918	303	7	,	,	PUNCT
ap-5918	303	8	b	b	NOUN
ap-5918	303	9	has	have	VERB
ap-5918	303	10	to	to	PART
ap-5918	303	11	satisfy	satisfy	VERB
ap-5918	303	12	the	the	DET
ap-5918	303	13	inequality	inequality	NOUN
ap-5918	303	14	4a4b	4a4b	NUM
ap-5918	303	15	|ψ≥	|ψ≥	PROPN
ap-5918	303	16	1	1	NUM
ap-5918	303	17	2	2	NUM
ap-5918	303	18	|	|	ADV
ap-5918	303	19	〈	〈	VERB
ap-5918	303	20	ψ|	ψ|	VERB
ap-5918	303	21	[	[	X
ap-5918	303	22	a	a	X
ap-5918	303	23	,	,	PUNCT
ap-5918	303	24	b	b	NOUN
ap-5918	303	25	]	]	PUNCT
ap-5918	303	26	|ψ	|ψ	PROPN
ap-5918	303	27	〉	〉	NOUN
ap-5918	303	28	|	|	NOUN
ap-5918	303	29	with	with	ADP
ap-5918	303	30	4a	4a	NOUN
ap-5918	303	31	|2ψ=	|2ψ=	NOUN
ap-5918	303	32	〈	〈	PROPN
ap-5918	303	33	ψ|a2	ψ|a2	ADV
ap-5918	303	34	|ψ〉−	|ψ〉−	ADV
ap-5918	303	35	〈	〈	NOUN
ap-5918	303	36	ψ|a	ψ|a	NOUN
ap-5918	303	37	|ψ〉2	|ψ〉2	NOUN
ap-5918	303	38	and	and	CCONJ
ap-5918	303	39	the	the	DET
ap-5918	303	40	same	same	ADJ
ap-5918	303	41	for	for	ADP
ap-5918	303	42	b	b	PROPN
ap-5918	303	43	for	for	ADP
ap-5918	303	44	any	any	DET
ap-5918	303	45	state	state	NOUN
ap-5918	303	46	.	.	PUNCT
ap-5918	304	1	depending	depend	VERB
ap-5918	304	2	on	on	ADP
ap-5918	304	3	these	these	DET
ap-5918	304	4	results	result	NOUN
ap-5918	304	5	,	,	PUNCT
ap-5918	304	6	we	we	PRON
ap-5918	304	7	are	be	AUX
ap-5918	304	8	planning	plan	VERB
ap-5918	304	9	to	to	PART
ap-5918	304	10	study	study	VERB
ap-5918	304	11	the	the	DET
ap-5918	304	12	pair	pair	NOUN
ap-5918	304	13	creation	creation	NOUN
ap-5918	304	14	process	process	NOUN
ap-5918	304	15	,	,	PUNCT
ap-5918	304	16	and	and	CCONJ
ap-5918	304	17	investigate	investigate	VERB
ap-5918	304	18	its	its	PRON
ap-5918	304	19	implications	implication	NOUN
ap-5918	304	20	in	in	ADP
ap-5918	304	21	quantum	quantum	ADJ
ap-5918	304	22	optics	optic	NOUN
ap-5918	304	23	.	.	PUNCT
ap-5918	305	1	118	118	NUM
ap-5918	305	2	vol	vol	NOUN
ap-5918	305	3	.	.	PUNCT
ap-5918	306	1	60	60	NUM
ap-5918	306	2	no	no	NOUN
ap-5918	306	3	.	.	PUNCT
ap-5918	307	1	2/2020	2/2020	NUM
ap-5918	307	2	analytical	analytical	ADJ
ap-5918	307	3	solution	solution	NOUN
ap-5918	307	4	of	of	ADP
ap-5918	307	5	(	(	PUNCT
ap-5918	307	6	2	2	NUM
ap-5918	307	7	+	+	NOUN
ap-5918	307	8	1	1	NUM
ap-5918	307	9	)	)	PUNCT
ap-5918	307	10	dimensional	dimensional	ADJ
ap-5918	307	11	dirac	dirac	NOUN
ap-5918	307	12	equation	equation	NOUN
ap-5918	307	13	.	.	PUNCT
ap-5918	307	14	.	.	PUNCT
ap-5918	307	15	.	.	PUNCT
ap-5918	308	1	acknowledgements	acknowledgement	VERB
ap-5918	308	2	the	the	DET
ap-5918	308	3	author	author	NOUN
ap-5918	308	4	wishes	wish	VERB
ap-5918	308	5	to	to	PART
ap-5918	308	6	express	express	VERB
ap-5918	308	7	thanks	thank	NOUN
ap-5918	308	8	to	to	ADP
ap-5918	308	9	pr	pr	VERB
ap-5918	308	10	lyazid	lyazid	NOUN
ap-5918	308	11	chetouani	chetouani	NOUN
ap-5918	308	12	for	for	ADP
ap-5918	308	13	his	his	PRON
ap-5918	308	14	interesting	interesting	ADJ
ap-5918	308	15	comments	comment	NOUN
ap-5918	308	16	and	and	CCONJ
ap-5918	308	17	suggestions	suggestion	NOUN
ap-5918	308	18	,	,	PUNCT
ap-5918	308	19	and	and	CCONJ
ap-5918	308	20	would	would	AUX
ap-5918	308	21	also	also	ADV
ap-5918	308	22	like	like	VERB
ap-5918	308	23	to	to	PART
ap-5918	308	24	appreciate	appreciate	VERB
ap-5918	308	25	anonymous	anonymous	ADJ
ap-5918	308	26	reviewers	reviewer	NOUN
ap-5918	308	27	for	for	ADP
ap-5918	308	28	their	their	PRON
ap-5918	308	29	careful	careful	ADJ
ap-5918	308	30	reading	reading	NOUN
ap-5918	308	31	of	of	ADP
ap-5918	308	32	the	the	DET
ap-5918	308	33	manuscript	manuscript	NOUN
ap-5918	308	34	and	and	CCONJ
ap-5918	308	35	their	their	PRON
ap-5918	308	36	insightful	insightful	ADJ
ap-5918	308	37	comments	comment	NOUN
ap-5918	308	38	.	.	PUNCT
ap-5918	309	1	references	reference	NOUN
ap-5918	309	2	[	[	X
ap-5918	309	3	1	1	NUM
ap-5918	309	4	]	]	PUNCT
ap-5918	309	5	h.	h.	PROPN
ap-5918	309	6	s.	s.	PROPN
ap-5918	309	7	snyder	snyder	PROPN
ap-5918	309	8	.	.	PUNCT
ap-5918	310	1	quantized	quantize	VERB
ap-5918	310	2	space	space	NOUN
ap-5918	310	3	-	-	PUNCT
ap-5918	310	4	time	time	NOUN
ap-5918	310	5	.	.	PUNCT
ap-5918	311	1	physical	physical	ADJ
ap-5918	311	2	review	review	NOUN
ap-5918	311	3	71:38	71:38	NUM
ap-5918	311	4	–	–	PUNCT
ap-5918	311	5	41	41	NUM
ap-5918	311	6	,	,	PUNCT
ap-5918	311	7	1947	1947	NUM
ap-5918	311	8	.	.	PUNCT
ap-5918	312	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	312	2	/	/	SYM
ap-5918	312	3	physrev.71.38	physrev.71.38	NOUN
ap-5918	312	4	.	.	PUNCT
ap-5918	313	1	[	[	X
ap-5918	313	2	2	2	X
ap-5918	313	3	]	]	PUNCT
ap-5918	313	4	h.	h.	PROPN
ap-5918	313	5	s.	s.	PROPN
ap-5918	313	6	snyder	snyder	PROPN
ap-5918	313	7	.	.	PUNCT
ap-5918	314	1	the	the	DET
ap-5918	314	2	electromagnetic	electromagnetic	ADJ
ap-5918	314	3	field	field	NOUN
ap-5918	314	4	in	in	ADP
ap-5918	314	5	quantized	quantize	VERB
ap-5918	314	6	space	space	NOUN
ap-5918	314	7	-	-	PUNCT
ap-5918	314	8	time	time	NOUN
ap-5918	314	9	.	.	PUNCT
ap-5918	315	1	physical	physical	ADJ
ap-5918	315	2	review	review	NOUN
ap-5918	315	3	72:68	72:68	NUM
ap-5918	315	4	–	–	PUNCT
ap-5918	315	5	71	71	NUM
ap-5918	315	6	,	,	PUNCT
ap-5918	315	7	1947	1947	NUM
ap-5918	315	8	.	.	PUNCT
ap-5918	316	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	316	2	/	/	SYM
ap-5918	316	3	physrev.72.68	physrev.72.68	PROPN
ap-5918	316	4	.	.	PUNCT
ap-5918	317	1	[	[	X
ap-5918	317	2	3	3	NUM
ap-5918	317	3	]	]	PUNCT
ap-5918	317	4	a.	a.	NOUN
ap-5918	317	5	connes	conne	NOUN
ap-5918	317	6	,	,	PUNCT
ap-5918	317	7	m.	m.	NOUN
ap-5918	317	8	douglas	douglas	PROPN
ap-5918	317	9	,	,	PUNCT
ap-5918	317	10	a.	a.	NOUN
ap-5918	317	11	schwarz	schwarz	PROPN
ap-5918	317	12	.	.	PUNCT
ap-5918	318	1	noncommutative	noncommutative	ADJ
ap-5918	318	2	geometry	geometry	NOUN
ap-5918	318	3	and	and	CCONJ
ap-5918	318	4	matrix	matrix	NOUN
ap-5918	318	5	theory	theory	NOUN
ap-5918	318	6	:	:	PUNCT
ap-5918	318	7	compactification	compactification	NOUN
ap-5918	318	8	on	on	ADP
ap-5918	318	9	tori	tori	PROPN
ap-5918	318	10	.	.	PUNCT
ap-5918	319	1	journal	journal	PROPN
ap-5918	319	2	of	of	ADP
ap-5918	319	3	high	high	ADJ
ap-5918	319	4	energy	energy	NOUN
ap-5918	319	5	physics	physics	NOUN
ap-5918	319	6	1998	1998	NUM
ap-5918	319	7	,	,	PUNCT
ap-5918	319	8	1998	1998	NUM
ap-5918	319	9	.	.	PUNCT
ap-5918	320	1	[	[	X
ap-5918	320	2	4	4	X
ap-5918	320	3	]	]	PUNCT
ap-5918	320	4	t.	t.	NOUN
ap-5918	320	5	banks	bank	NOUN
ap-5918	320	6	,	,	PUNCT
ap-5918	320	7	w.	w.	NOUN
ap-5918	320	8	fischler	fischler	NOUN
ap-5918	320	9	,	,	PUNCT
ap-5918	320	10	s.	s.	PROPN
ap-5918	320	11	h.	h.	PROPN
ap-5918	320	12	shenker	shenker	PROPN
ap-5918	320	13	,	,	PUNCT
ap-5918	320	14	l.	l.	PROPN
ap-5918	320	15	susskind	susskind	PROPN
ap-5918	320	16	.	.	PUNCT
ap-5918	321	1	m	m	PROPN
ap-5918	321	2	theory	theory	NOUN
ap-5918	321	3	as	as	ADP
ap-5918	321	4	a	a	DET
ap-5918	321	5	matrix	matrix	NOUN
ap-5918	321	6	model	model	NOUN
ap-5918	321	7	:	:	PUNCT
ap-5918	321	8	a	a	DET
ap-5918	321	9	conjecture	conjecture	NOUN
ap-5918	321	10	.	.	PUNCT
ap-5918	322	1	physical	physical	ADJ
ap-5918	322	2	review	review	NOUN
ap-5918	323	1	d	d	PROPN
ap-5918	323	2	55:5112	55:5112	NUM
ap-5918	323	3	–	–	PUNCT
ap-5918	323	4	128	128	NUM
ap-5918	323	5	,	,	PUNCT
ap-5918	323	6	1997	1997	NUM
ap-5918	323	7	.	.	PUNCT
ap-5918	324	1	doi:10.1103	doi:10.1103	PROPN
ap-5918	324	2	/	/	SYM
ap-5918	324	3	physrevd.55.5112	physrevd.55.5112	ADJ
ap-5918	324	4	.	.	PUNCT
ap-5918	325	1	[	[	X
ap-5918	325	2	5	5	NUM
ap-5918	325	3	]	]	PUNCT
ap-5918	325	4	m.	m.	NOUN
ap-5918	325	5	chaichian	chaichian	PROPN
ap-5918	325	6	,	,	PUNCT
ap-5918	325	7	m.	m.	NOUN
ap-5918	325	8	m.	m.	NOUN
ap-5918	325	9	sheikh	sheikh	PROPN
ap-5918	325	10	-	-	PUNCT
ap-5918	325	11	jabbari	jabbari	NOUN
ap-5918	325	12	,	,	PUNCT
ap-5918	325	13	a.	a.	NOUN
ap-5918	325	14	tureanu	tureanu	NOUN
ap-5918	325	15	.	.	PUNCT
ap-5918	326	1	hydrogen	hydrogen	NOUN
ap-5918	326	2	atom	atom	NOUN
ap-5918	326	3	spectrum	spectrum	NOUN
ap-5918	326	4	and	and	CCONJ
ap-5918	326	5	the	the	DET
ap-5918	326	6	lamb	lamb	PROPN
ap-5918	326	7	shift	shift	NOUN
ap-5918	326	8	in	in	ADP
ap-5918	326	9	noncommutative	noncommutative	PROPN
ap-5918	326	10	qed	qed	PROPN
ap-5918	326	11	.	.	PUNCT
ap-5918	327	1	physical	physical	PROPN
ap-5918	327	2	review	review	NOUN
ap-5918	327	3	letters	letter	VERB
ap-5918	327	4	86:2716	86:2716	NUM
ap-5918	327	5	–	–	PUNCT
ap-5918	327	6	2719	2719	NUM
ap-5918	327	7	,	,	PUNCT
ap-5918	327	8	2001	2001	NUM
ap-5918	327	9	.	.	PUNCT
ap-5918	328	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	328	2	/	/	SYM
ap-5918	328	3	physrevlett.86.2716	physrevlett.86.2716	NOUN
ap-5918	328	4	.	.	PUNCT
ap-5918	329	1	[	[	X
ap-5918	329	2	6	6	NUM
ap-5918	329	3	]	]	PUNCT
ap-5918	329	4	b.	b.	PROPN
ap-5918	329	5	mirza	mirza	PROPN
ap-5918	329	6	,	,	PUNCT
ap-5918	329	7	m.	m.	NOUN
ap-5918	329	8	zarei	zarei	PROPN
ap-5918	329	9	.	.	PUNCT
ap-5918	330	1	non	non	ADJ
ap-5918	330	2	-	-	ADJ
ap-5918	330	3	commutative	commutative	ADJ
ap-5918	330	4	quantum	quantum	ADJ
ap-5918	330	5	mechanics	mechanic	NOUN
ap-5918	330	6	and	and	CCONJ
ap-5918	330	7	the	the	DET
ap-5918	330	8	aharonov	aharonov	NOUN
ap-5918	330	9	-	-	PUNCT
ap-5918	330	10	casher	casher	NOUN
ap-5918	330	11	effect	effect	NOUN
ap-5918	330	12	.	.	PUNCT
ap-5918	331	1	european	european	PROPN
ap-5918	331	2	physical	physical	PROPN
ap-5918	331	3	journal	journal	PROPN
ap-5918	331	4	c	c	PROPN
ap-5918	331	5	32:583	32:583	NUM
ap-5918	331	6	–	–	PUNCT
ap-5918	331	7	586	586	NUM
ap-5918	331	8	,	,	PUNCT
ap-5918	331	9	2004	2004	NUM
ap-5918	331	10	.	.	PUNCT
ap-5918	332	1	doi:10.1140	doi:10.1140	PROPN
ap-5918	332	2	/	/	SYM
ap-5918	332	3	epjc	epjc	PROPN
ap-5918	332	4	/	/	SYM
ap-5918	332	5	s2003	s2003	NOUN
ap-5918	332	6	-	-	NOUN
ap-5918	332	7	01522	01522	NUM
ap-5918	332	8	-	-	SYM
ap-5918	332	9	8	8	NUM
ap-5918	332	10	.	.	PUNCT
ap-5918	333	1	[	[	X
ap-5918	333	2	7	7	X
ap-5918	333	3	]	]	X
ap-5918	333	4	c.	c.	PROPN
ap-5918	333	5	duval	duval	PROPN
ap-5918	333	6	,	,	PUNCT
ap-5918	333	7	p.	p.	NOUN
ap-5918	333	8	horvã¡thy	horvã¡thy	PROPN
ap-5918	333	9	.	.	PUNCT
ap-5918	334	1	the	the	DET
ap-5918	334	2	exotic	exotic	ADJ
ap-5918	334	3	galilei	galilei	NOUN
ap-5918	334	4	group	group	NOUN
ap-5918	334	5	and	and	CCONJ
ap-5918	334	6	the	the	DET
ap-5918	334	7	“	"	PUNCT
ap-5918	334	8	peierls	peierls	PROPN
ap-5918	334	9	substitution	substitution	NOUN
ap-5918	334	10	”	"	PUNCT
ap-5918	334	11	.	.	PUNCT
ap-5918	335	1	physics	physics	NOUN
ap-5918	335	2	letters	letter	NOUN
ap-5918	335	3	b	b	PROPN
ap-5918	335	4	479(1):284	479(1):284	NOUN
ap-5918	335	5	–	–	PUNCT
ap-5918	335	6	290	290	NUM
ap-5918	335	7	,	,	PUNCT
ap-5918	335	8	2000	2000	NUM
ap-5918	335	9	.	.	PUNCT
ap-5918	336	1	doi:10.1016	doi:10.1016	PROPN
ap-5918	336	2	/	/	SYM
ap-5918	336	3	s0370	s0370	PROPN
ap-5918	336	4	-	-	PUNCT
ap-5918	336	5	2693(00)00341	2693(00)00341	NUM
ap-5918	336	6	-	-	PUNCT
ap-5918	336	7	5	5	NUM
ap-5918	336	8	.	.	PUNCT
ap-5918	337	1	[	[	X
ap-5918	337	2	8	8	NUM
ap-5918	337	3	]	]	PUNCT
ap-5918	337	4	a.	a.	NOUN
ap-5918	337	5	connes	conne	NOUN
ap-5918	337	6	.	.	PUNCT
ap-5918	338	1	non	non	ADJ
ap-5918	338	2	-	-	ADJ
ap-5918	338	3	commutative	commutative	ADJ
ap-5918	338	4	differential	differential	NOUN
ap-5918	338	5	geometry	geometry	NOUN
ap-5918	338	6	.	.	PUNCT
ap-5918	339	1	publications	publication	NOUN
ap-5918	339	2	mathématiques	mathématiques	PROPN
ap-5918	339	3	de	de	X
ap-5918	339	4	l’institut	l’institut	PROPN
ap-5918	339	5	des	des	PROPN
ap-5918	339	6	hautes	haute	NOUN
ap-5918	339	7	études	étude	NOUN
ap-5918	339	8	scientifiques	scientifique	NOUN
ap-5918	339	9	62:41	62:41	NUM
ap-5918	339	10	–	–	PUNCT
ap-5918	339	11	144	144	NUM
ap-5918	339	12	,	,	PUNCT
ap-5918	339	13	1985	1985	NUM
ap-5918	339	14	.	.	PUNCT
ap-5918	340	1	doi:10.1007	doi:10.1007	NOUN
ap-5918	340	2	/	/	SYM
ap-5918	340	3	bf02698807	bf02698807	ADJ
ap-5918	340	4	.	.	PUNCT
ap-5918	341	1	[	[	X
ap-5918	341	2	9	9	NUM
ap-5918	341	3	]	]	PUNCT
ap-5918	341	4	a.	a.	NOUN
ap-5918	341	5	connes	conne	NOUN
ap-5918	341	6	.	.	PUNCT
ap-5918	342	1	a	a	DET
ap-5918	342	2	short	short	ADJ
ap-5918	342	3	survey	survey	NOUN
ap-5918	342	4	of	of	ADP
ap-5918	342	5	noncommutative	noncommutative	ADJ
ap-5918	342	6	geometry	geometry	NOUN
ap-5918	342	7	.	.	PUNCT
ap-5918	343	1	journal	journal	PROPN
ap-5918	343	2	of	of	ADP
ap-5918	343	3	mathematical	mathematical	ADJ
ap-5918	343	4	physics	physics	NOUN
ap-5918	343	5	41(6):3832	41(6):3832	NUM
ap-5918	343	6	–	–	PUNCT
ap-5918	343	7	3866	3866	NUM
ap-5918	343	8	,	,	PUNCT
ap-5918	343	9	2000	2000	NUM
ap-5918	343	10	.	.	PUNCT
ap-5918	344	1	doi:10.1063/1.533329	doi:10.1063/1.533329	ADJ
ap-5918	344	2	.	.	PUNCT
ap-5918	345	1	[	[	X
ap-5918	345	2	10	10	NUM
ap-5918	345	3	]	]	X
ap-5918	345	4	s.	s.	PROPN
ap-5918	345	5	woronowicz	woronowicz	PROPN
ap-5918	345	6	.	.	PUNCT
ap-5918	346	1	twisted	twisted	ADJ
ap-5918	346	2	su	su	PROPN
ap-5918	346	3	(	(	PUNCT
ap-5918	346	4	2	2	NUM
ap-5918	346	5	)	)	PUNCT
ap-5918	346	6	group	group	NOUN
ap-5918	346	7	.	.	PUNCT
ap-5918	347	1	an	an	DET
ap-5918	347	2	example	example	NOUN
ap-5918	347	3	of	of	ADP
ap-5918	347	4	a	a	DET
ap-5918	347	5	non	non	X
ap-5918	347	6	commutative	commutative	ADJ
ap-5918	347	7	differential	differential	ADJ
ap-5918	347	8	calculus	calculus	NOUN
ap-5918	347	9	.	.	PUNCT
ap-5918	348	1	publications	publication	NOUN
ap-5918	348	2	of	of	ADP
ap-5918	348	3	the	the	DET
ap-5918	348	4	research	research	PROPN
ap-5918	348	5	institute	institute	NOUN
ap-5918	348	6	for	for	ADP
ap-5918	348	7	mathematical	mathematical	ADJ
ap-5918	348	8	sciences	science	NOUN
ap-5918	348	9	23:117	23:117	NUM
ap-5918	348	10	,	,	PUNCT
ap-5918	348	11	1987	1987	NUM
ap-5918	348	12	.	.	PUNCT
ap-5918	349	1	doi:10.2977	doi:10.2977	NOUN
ap-5918	349	2	/	/	SYM
ap-5918	349	3	prims/1195176848	prims/1195176848	NOUN
ap-5918	349	4	.	.	PUNCT
ap-5918	350	1	[	[	X
ap-5918	350	2	11	11	NUM
ap-5918	350	3	]	]	X
ap-5918	350	4	n.	n.	PROPN
ap-5918	350	5	seiberg	seiberg	PROPN
ap-5918	350	6	,	,	PUNCT
ap-5918	350	7	e.	e.	PROPN
ap-5918	350	8	witten	witten	PROPN
ap-5918	350	9	.	.	PUNCT
ap-5918	351	1	string	string	PROPN
ap-5918	351	2	theory	theory	NOUN
ap-5918	351	3	and	and	CCONJ
ap-5918	351	4	noncommutative	noncommutative	ADJ
ap-5918	351	5	geometry	geometry	NOUN
ap-5918	351	6	.	.	PUNCT
ap-5918	352	1	journal	journal	PROPN
ap-5918	352	2	of	of	ADP
ap-5918	352	3	high	high	ADJ
ap-5918	352	4	energy	energy	NOUN
ap-5918	352	5	physics	physics	NOUN
ap-5918	352	6	1999(09):032	1999(09):032	NUM
ap-5918	352	7	–	–	PUNCT
ap-5918	352	8	032	032	NUM
ap-5918	352	9	,	,	PUNCT
ap-5918	352	10	1999	1999	NUM
ap-5918	352	11	.	.	PUNCT
ap-5918	353	1	doi:10.1088/1126	doi:10.1088/1126	NOUN
ap-5918	353	2	-	-	PUNCT
ap-5918	353	3	6708/1999/09/032	6708/1999/09/032	NUM
ap-5918	353	4	.	.	PUNCT
ap-5918	354	1	[	[	X
ap-5918	354	2	12	12	NUM
ap-5918	354	3	]	]	PUNCT
ap-5918	354	4	j.	j.	PROPN
ap-5918	354	5	madore	madore	PROPN
ap-5918	354	6	,	,	PUNCT
ap-5918	354	7	s.	s.	PROPN
ap-5918	354	8	schraml	schraml	PROPN
ap-5918	354	9	,	,	PUNCT
ap-5918	354	10	p.	p.	PROPN
ap-5918	354	11	schupp	schupp	PROPN
ap-5918	354	12	,	,	PUNCT
ap-5918	354	13	j.	j.	PROPN
ap-5918	354	14	wess	wess	PROPN
ap-5918	354	15	.	.	PUNCT
ap-5918	355	1	gauge	gauge	PROPN
ap-5918	355	2	theory	theory	NOUN
ap-5918	355	3	on	on	ADP
ap-5918	355	4	noncommutative	noncommutative	ADJ
ap-5918	355	5	spaces	space	NOUN
ap-5918	355	6	.	.	PUNCT
ap-5918	356	1	the	the	DET
ap-5918	356	2	european	european	PROPN
ap-5918	356	3	physical	physical	PROPN
ap-5918	356	4	journal	journal	PROPN
ap-5918	356	5	c	c	PROPN
ap-5918	356	6	particles	particle	NOUN
ap-5918	356	7	and	and	CCONJ
ap-5918	356	8	fields	field	NOUN
ap-5918	356	9	16:161	16:161	NUM
ap-5918	356	10	–	–	PUNCT
ap-5918	356	11	167	167	NUM
ap-5918	356	12	,	,	PUNCT
ap-5918	356	13	2000	2000	NUM
ap-5918	356	14	.	.	PUNCT
ap-5918	357	1	doi:10.1007	doi:10.1007	VERB
ap-5918	357	2	/	/	SYM
ap-5918	357	3	s100520050012	s100520050012	NOUN
ap-5918	357	4	.	.	PUNCT
ap-5918	358	1	[	[	X
ap-5918	358	2	13	13	NUM
ap-5918	358	3	]	]	X
ap-5918	358	4	i.	i.	PROPN
ap-5918	358	5	haouam	haouam	PROPN
ap-5918	358	6	.	.	PUNCT
ap-5918	358	7	continuity	continuity	NOUN
ap-5918	358	8	equation	equation	NOUN
ap-5918	358	9	in	in	ADP
ap-5918	358	10	presence	presence	NOUN
ap-5918	358	11	of	of	ADP
ap-5918	358	12	a	a	DET
ap-5918	358	13	non	non	ADJ
ap-5918	358	14	-	-	ADJ
ap-5918	358	15	local	local	ADJ
ap-5918	358	16	potential	potential	NOUN
ap-5918	358	17	in	in	ADP
ap-5918	358	18	non	non	ADJ
ap-5918	358	19	-	-	ADJ
ap-5918	358	20	commutative	commutative	ADJ
ap-5918	358	21	phase	phase	NOUN
ap-5918	358	22	-	-	PUNCT
ap-5918	358	23	space	space	NOUN
ap-5918	358	24	.	.	PUNCT
ap-5918	359	1	open	open	ADJ
ap-5918	359	2	journal	journal	PROPN
ap-5918	359	3	of	of	ADP
ap-5918	359	4	microphysics	microphysic	NOUN
ap-5918	359	5	09:15	09:15	NUM
ap-5918	359	6	–	–	PUNCT
ap-5918	359	7	28	28	NUM
ap-5918	359	8	,	,	PUNCT
ap-5918	359	9	2019	2019	NUM
ap-5918	359	10	.	.	PUNCT
ap-5918	360	1	doi:10.4236	doi:10.4236	PROPN
ap-5918	360	2	/	/	SYM
ap-5918	360	3	ojm.2019.93003	ojm.2019.93003	PROPN
ap-5918	360	4	.	.	PUNCT
ap-5918	361	1	[	[	X
ap-5918	361	2	14	14	NUM
ap-5918	361	3	]	]	X
ap-5918	361	4	i.	i.	PROPN
ap-5918	361	5	haouam	haouam	PROPN
ap-5918	361	6	.	.	PUNCT
ap-5918	362	1	on	on	ADP
ap-5918	362	2	the	the	DET
ap-5918	362	3	fisk	fisk	PROPN
ap-5918	362	4	-	-	PUNCT
ap-5918	362	5	tait	tait	PROPN
ap-5918	362	6	equation	equation	NOUN
ap-5918	362	7	for	for	ADP
ap-5918	362	8	spin-3/2	spin-3/2	NOUN
ap-5918	362	9	fermions	fermion	NOUN
ap-5918	362	10	interacting	interact	VERB
ap-5918	362	11	with	with	ADP
ap-5918	362	12	an	an	DET
ap-5918	362	13	external	external	ADJ
ap-5918	362	14	magnetic	magnetic	ADJ
ap-5918	362	15	field	field	NOUN
ap-5918	362	16	in	in	ADP
ap-5918	362	17	noncommutative	noncommutative	ADJ
ap-5918	362	18	space	space	NOUN
ap-5918	362	19	-	-	PUNCT
ap-5918	362	20	time	time	NOUN
ap-5918	362	21	.	.	PUNCT
ap-5918	363	1	journal	journal	PROPN
ap-5918	363	2	of	of	ADP
ap-5918	363	3	physical	physical	ADJ
ap-5918	363	4	studies	study	NOUN
ap-5918	363	5	24	24	NUM
ap-5918	363	6	,	,	PUNCT
ap-5918	363	7	2020	2020	NUM
ap-5918	363	8	.	.	PUNCT
ap-5918	364	1	doi:10.30970	doi:10.30970	PROPN
ap-5918	364	2	/	/	SYM
ap-5918	364	3	jps.24.1801	jps.24.1801	PROPN
ap-5918	364	4	.	.	PUNCT
ap-5918	365	1	[	[	X
ap-5918	365	2	15	15	NUM
ap-5918	365	3	]	]	X
ap-5918	365	4	i.	i.	PROPN
ap-5918	365	5	haouam	haouam	PROPN
ap-5918	365	6	.	.	PUNCT
ap-5918	366	1	the	the	DET
ap-5918	366	2	non	non	ADJ
ap-5918	366	3	-	-	ADJ
ap-5918	366	4	relativistic	relativistic	ADJ
ap-5918	366	5	limit	limit	NOUN
ap-5918	366	6	of	of	ADP
ap-5918	366	7	the	the	DET
ap-5918	366	8	dkp	dkp	PROPN
ap-5918	366	9	equation	equation	NOUN
ap-5918	366	10	in	in	ADP
ap-5918	366	11	non	non	ADJ
ap-5918	366	12	-	-	ADJ
ap-5918	366	13	commutative	commutative	ADJ
ap-5918	366	14	phase	phase	NOUN
ap-5918	366	15	-	-	PUNCT
ap-5918	366	16	space	space	NOUN
ap-5918	366	17	.	.	PUNCT
ap-5918	367	1	symmetry	symmetry	PROPN
ap-5918	367	2	11:223	11:223	NUM
ap-5918	367	3	,	,	PUNCT
ap-5918	367	4	2019	2019	NUM
ap-5918	367	5	.	.	PUNCT
ap-5918	368	1	doi:10.3390	doi:10.3390	NOUN
ap-5918	368	2	/	/	SYM
ap-5918	368	3	sym11020223	sym11020223	NOUN
ap-5918	368	4	.	.	PUNCT
ap-5918	369	1	[	[	X
ap-5918	369	2	16	16	NUM
ap-5918	369	3	]	]	X
ap-5918	369	4	i.	i.	PROPN
ap-5918	369	5	haouam	haouam	PROPN
ap-5918	369	6	,	,	PUNCT
ap-5918	369	7	l.	l.	PROPN
ap-5918	369	8	chetouani	chetouani	PROPN
ap-5918	369	9	.	.	PUNCT
ap-5918	370	1	the	the	DET
ap-5918	370	2	foldy	foldy	NOUN
ap-5918	370	3	-	-	PUNCT
ap-5918	370	4	wouthuysen	wouthuysen	NOUN
ap-5918	370	5	transformation	transformation	NOUN
ap-5918	370	6	of	of	ADP
ap-5918	370	7	the	the	DET
ap-5918	370	8	dirac	dirac	NOUN
ap-5918	370	9	equation	equation	NOUN
ap-5918	370	10	in	in	ADP
ap-5918	370	11	noncommutative	noncommutative	ADJ
ap-5918	370	12	phase	phase	NOUN
ap-5918	370	13	-	-	PUNCT
ap-5918	370	14	space	space	NOUN
ap-5918	370	15	.	.	PUNCT
ap-5918	371	1	journal	journal	NOUN
ap-5918	371	2	of	of	ADP
ap-5918	371	3	modern	modern	ADJ
ap-5918	371	4	physics	physics	NOUN
ap-5918	371	5	09:2021	09:2021	PUNCT
ap-5918	371	6	–	–	PUNCT
ap-5918	371	7	2034	2034	NUM
ap-5918	371	8	,	,	PUNCT
ap-5918	371	9	2018	2018	NUM
ap-5918	371	10	.	.	PUNCT
ap-5918	372	1	doi:10.4236	doi:10.4236	PROPN
ap-5918	372	2	/	/	SYM
ap-5918	372	3	jmp.2018.911127	jmp.2018.911127	PROPN
ap-5918	372	4	.	.	PUNCT
ap-5918	373	1	[	[	X
ap-5918	373	2	17	17	NUM
ap-5918	373	3	]	]	X
ap-5918	373	4	b.	b.	PROPN
ap-5918	373	5	jurčo	jurčo	PROPN
ap-5918	373	6	,	,	PUNCT
ap-5918	373	7	l.	l.	PROPN
ap-5918	373	8	möller	möller	PROPN
ap-5918	373	9	,	,	PUNCT
ap-5918	373	10	s.	s.	PROPN
ap-5918	373	11	schraml	schraml	PROPN
ap-5918	373	12	,	,	PUNCT
ap-5918	373	13	et	et	PROPN
ap-5918	373	14	al	al	PROPN
ap-5918	373	15	.	.	PUNCT
ap-5918	374	1	construction	construction	NOUN
ap-5918	374	2	of	of	ADP
ap-5918	374	3	non	non	ADJ
ap-5918	374	4	-	-	ADJ
ap-5918	374	5	abelian	abelian	ADJ
ap-5918	374	6	gauge	gauge	NOUN
ap-5918	374	7	theories	theory	NOUN
ap-5918	374	8	on	on	ADP
ap-5918	374	9	noncommutative	noncommutative	ADJ
ap-5918	374	10	spaces	space	NOUN
ap-5918	374	11	.	.	PUNCT
ap-5918	375	1	european	european	PROPN
ap-5918	375	2	physical	physical	PROPN
ap-5918	375	3	journal	journal	PROPN
ap-5918	375	4	c	c	PROPN
ap-5918	375	5	21:383	21:383	NUM
ap-5918	375	6	,	,	PUNCT
ap-5918	375	7	2001	2001	NUM
ap-5918	375	8	.	.	PUNCT
ap-5918	376	1	doi:10.1007	doi:10.1007	NOUN
ap-5918	376	2	/	/	SYM
ap-5918	376	3	s100520100731	s100520100731	NOUN
ap-5918	376	4	.	.	PUNCT
ap-5918	377	1	[	[	X
ap-5918	377	2	18	18	NUM
ap-5918	377	3	]	]	X
ap-5918	377	4	j.-i	j.-i	PROPN
ap-5918	377	5	.	.	PUNCT
ap-5918	377	6	kamoshita	kamoshita	PROPN
ap-5918	377	7	.	.	PUNCT
ap-5918	378	1	probing	probe	VERB
ap-5918	378	2	noncommutative	noncommutative	ADJ
ap-5918	378	3	space	space	NOUN
ap-5918	378	4	-	-	PUNCT
ap-5918	378	5	time	time	NOUN
ap-5918	378	6	in	in	ADP
ap-5918	378	7	the	the	DET
ap-5918	378	8	laboratory	laboratory	NOUN
ap-5918	378	9	frame	frame	NOUN
ap-5918	378	10	.	.	PUNCT
ap-5918	379	1	the	the	DET
ap-5918	379	2	european	european	PROPN
ap-5918	379	3	physical	physical	PROPN
ap-5918	379	4	journal	journal	PROPN
ap-5918	379	5	c	c	PROPN
ap-5918	379	6	52:451	52:451	NUM
ap-5918	379	7	,	,	PUNCT
ap-5918	379	8	2002	2002	NUM
ap-5918	379	9	.	.	PUNCT
ap-5918	380	1	doi:10.1140	doi:10.1140	PROPN
ap-5918	380	2	/	/	SYM
ap-5918	380	3	epjc	epjc	PROPN
ap-5918	380	4	/	/	SYM
ap-5918	380	5	s10052	s10052	NOUN
ap-5918	380	6	-	-	PUNCT
ap-5918	380	7	007	007	NUM
ap-5918	380	8	-	-	PUNCT
ap-5918	380	9	0371	0371	NUM
ap-5918	380	10	-	-	PUNCT
ap-5918	380	11	y.	y.	NOUN
ap-5918	380	12	[	[	X
ap-5918	380	13	19	19	NUM
ap-5918	380	14	]	]	PUNCT
ap-5918	380	15	z.	z.	PROPN
ap-5918	380	16	alisultanov	alisultanov	PROPN
ap-5918	380	17	.	.	PUNCT
ap-5918	381	1	landau	landau	NOUN
ap-5918	381	2	levels	level	NOUN
ap-5918	381	3	in	in	ADP
ap-5918	381	4	graphene	graphene	NOUN
ap-5918	381	5	in	in	ADP
ap-5918	381	6	crossed	cross	VERB
ap-5918	381	7	magnetic	magnetic	ADJ
ap-5918	381	8	and	and	CCONJ
ap-5918	381	9	electric	electric	ADJ
ap-5918	381	10	fields	field	NOUN
ap-5918	381	11	:	:	PUNCT
ap-5918	381	12	quasi	quasi	ADJ
ap-5918	381	13	-	-	ADJ
ap-5918	381	14	classical	classical	ADJ
ap-5918	381	15	approach	approach	NOUN
ap-5918	381	16	.	.	PUNCT
ap-5918	382	1	physica	physica	PROPN
ap-5918	382	2	b	b	NOUN
ap-5918	382	3	:	:	PUNCT
ap-5918	382	4	condensed	condense	VERB
ap-5918	382	5	matter	matter	NOUN
ap-5918	382	6	438:41	438:41	PRON
ap-5918	382	7	–	–	PUNCT
ap-5918	382	8	44	44	NUM
ap-5918	382	9	,	,	PUNCT
ap-5918	382	10	2014	2014	NUM
ap-5918	382	11	.	.	PUNCT
ap-5918	383	1	doi:10.1016	doi:10.1016	PROPN
ap-5918	383	2	/	/	SYM
ap-5918	383	3	j.physb.2013.12.033	j.physb.2013.12.033	PROPN
ap-5918	383	4	.	.	PUNCT
ap-5918	384	1	[	[	X
ap-5918	384	2	20	20	NUM
ap-5918	384	3	]	]	PUNCT
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ap-5918	384	6	.	.	PUNCT
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ap-5918	385	9	and	and	CCONJ
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ap-5918	385	12	.	.	PUNCT
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ap-5918	386	6	,	,	PUNCT
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ap-5918	386	8	.	.	PUNCT
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ap-5918	387	2	/	/	SYM
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ap-5918	387	4	.	.	PUNCT
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ap-5918	388	15	.	.	PUNCT
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ap-5918	389	11	.	.	PUNCT
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ap-5918	390	7	,	,	PUNCT
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ap-5918	390	9	.	.	PUNCT
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ap-5918	391	4	.	.	PUNCT
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ap-5918	392	3	]	]	PUNCT
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ap-5918	392	12	.	.	PUNCT
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ap-5918	393	16	.	.	PUNCT
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ap-5918	394	8	,	,	PUNCT
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ap-5918	394	10	.	.	PUNCT
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ap-5918	395	4	.	.	PUNCT
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ap-5918	397	14	.	.	PUNCT
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ap-5918	398	2	of	of	ADP
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ap-5918	399	4	.	.	PUNCT
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ap-5918	400	17	-	-	PUNCT
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ap-5918	401	5	,	,	PUNCT
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ap-5918	401	7	.	.	PUNCT
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ap-5918	402	2	/	/	SYM
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ap-5918	402	4	.	.	PUNCT
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ap-5918	403	3	]	]	PUNCT
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ap-5918	404	9	.	.	PUNCT
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ap-5918	405	7	.	.	PUNCT
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ap-5918	406	2	/	/	SYM
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ap-5918	406	4	.	.	PUNCT
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ap-5918	409	10	.	.	PUNCT
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ap-5918	410	6	.	.	PUNCT
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ap-5918	411	7	.	.	PUNCT
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ap-5918	412	4	.	.	PUNCT
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ap-5918	414	14	.	.	PUNCT
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ap-5918	416	4	,	,	PUNCT
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ap-5918	416	6	.	.	PUNCT
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ap-5918	417	2	/	/	SYM
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ap-5918	417	4	.	.	PUNCT
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ap-5918	418	15	.	.	PUNCT
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ap-5918	419	2	of	of	ADP
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ap-5918	419	8	in	in	ADP
ap-5918	419	9	graphene	graphene	NOUN
ap-5918	419	10	.	.	PUNCT
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ap-5918	420	3	–	–	PUNCT
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ap-5918	420	5	,	,	PUNCT
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ap-5918	420	7	.	.	PUNCT
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ap-5918	421	2	/	/	SYM
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ap-5918	421	4	.	.	PUNCT
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ap-5918	424	5	–	–	PUNCT
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ap-5918	424	9	.	.	PUNCT
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ap-5918	426	7	r.	r.	PROPN
ap-5918	426	8	shankar	shankar	PROPN
ap-5918	426	9	,	,	PUNCT
ap-5918	426	10	g.	g.	PROPN
ap-5918	426	11	baskaran	baskaran	PROPN
ap-5918	426	12	.	.	PUNCT
ap-5918	427	1	novel	novel	ADJ
ap-5918	427	2	electric	electric	ADJ
ap-5918	427	3	field	field	NOUN
ap-5918	427	4	effects	effect	NOUN
ap-5918	427	5	on	on	ADP
ap-5918	427	6	landau	landau	NOUN
ap-5918	427	7	levels	level	NOUN
ap-5918	427	8	in	in	ADP
ap-5918	427	9	graphene	graphene	NOUN
ap-5918	427	10	.	.	PUNCT
ap-5918	428	1	physical	physical	ADJ
ap-5918	428	2	review	review	NOUN
ap-5918	428	3	letters	letter	NOUN
ap-5918	428	4	98:116802	98:116802	ADP
ap-5918	428	5	,	,	PUNCT
ap-5918	428	6	2007	2007	NUM
ap-5918	428	7	.	.	PUNCT
ap-5918	429	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	429	2	/	/	SYM
ap-5918	429	3	physrevlett.98.116802	physrevlett.98.116802	NOUN
ap-5918	429	4	.	.	PUNCT
ap-5918	430	1	[	[	X
ap-5918	430	2	31	31	NUM
ap-5918	430	3	]	]	X
ap-5918	430	4	v.	v.	PROPN
ap-5918	430	5	arjona	arjona	PROPN
ap-5918	430	6	,	,	PUNCT
ap-5918	430	7	e.	e.	PROPN
ap-5918	430	8	v.	v.	PROPN
ap-5918	430	9	castro	castro	PROPN
ap-5918	430	10	,	,	PUNCT
ap-5918	430	11	m.	m.	NOUN
ap-5918	430	12	a.	a.	PROPN
ap-5918	430	13	h.	h.	PROPN
ap-5918	430	14	vozmediano	vozmediano	PROPN
ap-5918	430	15	.	.	PUNCT
ap-5918	431	1	collapse	collapse	NOUN
ap-5918	431	2	of	of	ADP
ap-5918	431	3	landau	landau	NOUN
ap-5918	431	4	levels	level	NOUN
ap-5918	431	5	in	in	ADP
ap-5918	431	6	weyl	weyl	VERB
ap-5918	431	7	semimetals	semimetal	NOUN
ap-5918	431	8	.	.	PUNCT
ap-5918	432	1	physical	physical	PROPN
ap-5918	432	2	review	review	PROPN
ap-5918	432	3	b	b	PROPN
ap-5918	432	4	96:081110	96:081110	PROPN
ap-5918	432	5	,	,	PUNCT
ap-5918	432	6	2017	2017	NUM
ap-5918	432	7	.	.	PUNCT
ap-5918	433	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	433	2	/	/	SYM
ap-5918	433	3	physrevb.96.081110	physrevb.96.081110	NOUN
ap-5918	433	4	.	.	PUNCT
ap-5918	434	1	[	[	X
ap-5918	434	2	32	32	NUM
ap-5918	434	3	]	]	PUNCT
ap-5918	434	4	g.	g.	NOUN
ap-5918	434	5	burmeister	burmeister	PROPN
ap-5918	434	6	,	,	PUNCT
ap-5918	434	7	k.	k.	PROPN
ap-5918	434	8	maschke	maschke	PROPN
ap-5918	434	9	.	.	PUNCT
ap-5918	435	1	scattering	scatter	VERB
ap-5918	435	2	by	by	ADP
ap-5918	435	3	time	time	NOUN
ap-5918	435	4	-	-	PUNCT
ap-5918	435	5	periodic	periodic	ADJ
ap-5918	435	6	potentials	potential	NOUN
ap-5918	435	7	in	in	ADP
ap-5918	435	8	one	one	NUM
ap-5918	435	9	dimension	dimension	NOUN
ap-5918	435	10	and	and	CCONJ
ap-5918	435	11	its	its	PRON
ap-5918	435	12	influence	influence	NOUN
ap-5918	435	13	on	on	ADP
ap-5918	435	14	electronic	electronic	ADJ
ap-5918	435	15	transport	transport	NOUN
ap-5918	435	16	.	.	PUNCT
ap-5918	436	1	physical	physical	PROPN
ap-5918	436	2	review	review	PROPN
ap-5918	436	3	b	b	PROPN
ap-5918	436	4	57:13050	57:13050	PROPN
ap-5918	436	5	–	–	PUNCT
ap-5918	436	6	13060	13060	NUM
ap-5918	436	7	,	,	PUNCT
ap-5918	436	8	1998	1998	NUM
ap-5918	436	9	.	.	PUNCT
ap-5918	437	1	doi:10.1103	doi:10.1103	PROPN
ap-5918	437	2	/	/	SYM
ap-5918	437	3	physrevb.57.13050	physrevb.57.13050	PROPN
ap-5918	437	4	.	.	PUNCT
ap-5918	438	1	[	[	X
ap-5918	438	2	33	33	NUM
ap-5918	438	3	]	]	PUNCT
ap-5918	438	4	c.	c.	PROPN
ap-5918	438	5	s.	s.	PROPN
ap-5918	438	6	tang	tang	PROPN
ap-5918	438	7	,	,	PUNCT
ap-5918	438	8	c.	c.	PROPN
ap-5918	438	9	s.	s.	PROPN
ap-5918	438	10	chu	chu	PROPN
ap-5918	438	11	.	.	PUNCT
ap-5918	438	12	coherent	coherent	ADJ
ap-5918	438	13	quantum	quantum	ADJ
ap-5918	438	14	transport	transport	NOUN
ap-5918	438	15	in	in	ADP
ap-5918	438	16	narrow	narrow	ADJ
ap-5918	438	17	constrictions	constriction	NOUN
ap-5918	438	18	in	in	ADP
ap-5918	438	19	the	the	DET
ap-5918	438	20	presence	presence	NOUN
ap-5918	438	21	of	of	ADP
ap-5918	438	22	a	a	DET
ap-5918	438	23	finite	finite	ADJ
ap-5918	438	24	-	-	ADJ
ap-5918	438	25	range	range	NOUN
ap-5918	438	26	longitudinally	longitudinally	ADV
ap-5918	438	27	polarized	polarize	VERB
ap-5918	438	28	time	time	NOUN
ap-5918	438	29	-	-	PUNCT
ap-5918	438	30	dependent	dependent	ADJ
ap-5918	438	31	field	field	NOUN
ap-5918	438	32	.	.	PUNCT
ap-5918	439	1	physical	physical	PROPN
ap-5918	439	2	review	review	PROPN
ap-5918	439	3	b	b	PROPN
ap-5918	439	4	60:1830	60:1830	PROPN
ap-5918	439	5	–	–	PUNCT
ap-5918	439	6	1836	1836	NUM
ap-5918	439	7	,	,	PUNCT
ap-5918	439	8	1999	1999	NUM
ap-5918	439	9	.	.	PUNCT
ap-5918	440	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	440	2	/	/	SYM
ap-5918	440	3	physrevb.60.1830	physrevb.60.1830	NOUN
ap-5918	440	4	.	.	PUNCT
ap-5918	441	1	[	[	X
ap-5918	441	2	34	34	NUM
ap-5918	441	3	]	]	X
ap-5918	441	4	w.	w.	PROPN
ap-5918	441	5	li	li	PROPN
ap-5918	441	6	,	,	PUNCT
ap-5918	441	7	l.	l.	PROPN
ap-5918	441	8	e.	e.	PROPN
ap-5918	441	9	reichl	reichl	PROPN
ap-5918	441	10	.	.	PUNCT
ap-5918	441	11	transport	transport	NOUN
ap-5918	441	12	in	in	ADP
ap-5918	441	13	strongly	strongly	ADV
ap-5918	441	14	driven	drive	VERB
ap-5918	441	15	heterostructures	heterostructure	NOUN
ap-5918	441	16	and	and	CCONJ
ap-5918	441	17	bound	bind	VERB
ap-5918	441	18	-	-	PUNCT
ap-5918	441	19	state	state	NOUN
ap-5918	441	20	-	-	PUNCT
ap-5918	441	21	induced	induce	VERB
ap-5918	441	22	dynamic	dynamic	ADJ
ap-5918	441	23	resonances	resonance	NOUN
ap-5918	441	24	.	.	PUNCT
ap-5918	442	1	physical	physical	PROPN
ap-5918	442	2	review	review	PROPN
ap-5918	442	3	b	b	PROPN
ap-5918	442	4	62:8269	62:8269	PROPN
ap-5918	442	5	–	–	PUNCT
ap-5918	442	6	8275	8275	NUM
ap-5918	442	7	,	,	PUNCT
ap-5918	442	8	2000	2000	NUM
ap-5918	442	9	.	.	PUNCT
ap-5918	443	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	443	2	/	/	SYM
ap-5918	443	3	physrevb.62.8269	physrevb.62.8269	NOUN
ap-5918	443	4	.	.	PUNCT
ap-5918	444	1	[	[	X
ap-5918	444	2	35	35	NUM
ap-5918	444	3	]	]	X
ap-5918	444	4	c.	c.	PROPN
ap-5918	444	5	figueira	figueira	PROPN
ap-5918	444	6	de	de	PROPN
ap-5918	444	7	morisson	morisson	PROPN
ap-5918	444	8	faria	faria	PROPN
ap-5918	444	9	,	,	PUNCT
ap-5918	444	10	m.	m.	NOUN
ap-5918	444	11	dörr	dörr	PROPN
ap-5918	444	12	,	,	PUNCT
ap-5918	444	13	w.	w.	PROPN
ap-5918	444	14	sandner	sandner	PROPN
ap-5918	444	15	.	.	PUNCT
ap-5918	444	16	time	time	NOUN
ap-5918	444	17	profile	profile	NOUN
ap-5918	444	18	of	of	ADP
ap-5918	444	19	harmonic	harmonic	ADJ
ap-5918	444	20	generation	generation	NOUN
ap-5918	444	21	.	.	PUNCT
ap-5918	445	1	physical	physical	ADJ
ap-5918	445	2	review	review	NOUN
ap-5918	445	3	a	a	DET
ap-5918	445	4	55:3961	55:3961	NUM
ap-5918	445	5	–	–	PUNCT
ap-5918	445	6	3963	3963	NUM
ap-5918	445	7	,	,	PUNCT
ap-5918	445	8	1997	1997	NUM
ap-5918	445	9	.	.	PUNCT
ap-5918	446	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	446	2	/	/	SYM
ap-5918	446	3	physreva.55.3961	physreva.55.3961	NOUN
ap-5918	446	4	.	.	PUNCT
ap-5918	447	1	[	[	X
ap-5918	447	2	36	36	NUM
ap-5918	447	3	]	]	X
ap-5918	447	4	i.	i.	PROPN
ap-5918	447	5	h.	h.	PROPN
ap-5918	447	6	deutsch	deutsch	PROPN
ap-5918	447	7	,	,	PUNCT
ap-5918	447	8	p.	p.	PROPN
ap-5918	447	9	s.	s.	PROPN
ap-5918	447	10	jessen	jessen	PROPN
ap-5918	447	11	.	.	PUNCT
ap-5918	447	12	quantum	quantum	PROPN
ap-5918	447	13	-	-	PUNCT
ap-5918	447	14	state	state	NOUN
ap-5918	447	15	control	control	NOUN
ap-5918	447	16	in	in	ADP
ap-5918	447	17	optical	optical	ADJ
ap-5918	447	18	lattices	lattice	NOUN
ap-5918	447	19	.	.	PUNCT
ap-5918	448	1	physical	physical	ADJ
ap-5918	448	2	review	review	NOUN
ap-5918	448	3	a	a	DET
ap-5918	448	4	57:1972	57:1972	NUM
ap-5918	448	5	–	–	PUNCT
ap-5918	448	6	1986	1986	NUM
ap-5918	448	7	,	,	PUNCT
ap-5918	448	8	1998	1998	NUM
ap-5918	448	9	.	.	PUNCT
ap-5918	449	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	449	2	/	/	SYM
ap-5918	449	3	physreva.57.1972	physreva.57.1972	NOUN
ap-5918	449	4	.	.	PUNCT
ap-5918	450	1	[	[	X
ap-5918	450	2	37	37	NUM
ap-5918	450	3	]	]	X
ap-5918	450	4	h.	h.	PROPN
ap-5918	450	5	maeda	maeda	PROPN
ap-5918	450	6	,	,	PUNCT
ap-5918	450	7	t.	t.	PROPN
ap-5918	450	8	f.	f.	PROPN
ap-5918	450	9	gallagher	gallagher	PROPN
ap-5918	450	10	.	.	PUNCT
ap-5918	451	1	nondispersing	nondisperse	VERB
ap-5918	451	2	wave	wave	NOUN
ap-5918	451	3	packets	packet	NOUN
ap-5918	451	4	.	.	PUNCT
ap-5918	452	1	physical	physical	ADJ
ap-5918	452	2	review	review	NOUN
ap-5918	452	3	letters	letter	NOUN
ap-5918	452	4	92:133004	92:133004	NUM
ap-5918	452	5	,	,	PUNCT
ap-5918	452	6	2004	2004	NUM
ap-5918	452	7	.	.	PUNCT
ap-5918	453	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	453	2	/	/	SYM
ap-5918	453	3	physrevlett.92.133004	physrevlett.92.133004	NOUN
ap-5918	453	4	.	.	PUNCT
ap-5918	454	1	[	[	X
ap-5918	454	2	38	38	NUM
ap-5918	454	3	]	]	PUNCT
ap-5918	454	4	c.	c.	PROPN
ap-5918	454	5	e.	e.	PROPN
ap-5918	454	6	creffield	creffield	PROPN
ap-5918	454	7	,	,	PUNCT
ap-5918	454	8	g.	g.	PROPN
ap-5918	454	9	platero	platero	PROPN
ap-5918	454	10	.	.	PUNCT
ap-5918	455	1	ac	ac	ADJ
ap-5918	455	2	-	-	PUNCT
ap-5918	455	3	driven	drive	VERB
ap-5918	455	4	localization	localization	NOUN
ap-5918	455	5	in	in	ADP
ap-5918	455	6	a	a	DET
ap-5918	455	7	two	two	NUM
ap-5918	455	8	-	-	PUNCT
ap-5918	455	9	electron	electron	NOUN
ap-5918	455	10	quantum	quantum	NOUN
ap-5918	455	11	dot	dot	NOUN
ap-5918	455	12	molecule	molecule	NOUN
ap-5918	455	13	.	.	PUNCT
ap-5918	456	1	physical	physical	PROPN
ap-5918	456	2	review	review	PROPN
ap-5918	456	3	b	b	PROPN
ap-5918	456	4	65:113304	65:113304	PROPN
ap-5918	456	5	,	,	PUNCT
ap-5918	456	6	2002	2002	NUM
ap-5918	456	7	.	.	PUNCT
ap-5918	457	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	457	2	/	/	SYM
ap-5918	457	3	physrevb.65.113304	physrevb.65.113304	NOUN
ap-5918	457	4	.	.	PUNCT
ap-5918	458	1	[	[	X
ap-5918	458	2	39	39	NUM
ap-5918	458	3	]	]	PUNCT
ap-5918	458	4	h.	h.	PROPN
ap-5918	459	1	p.	p.	NOUN
ap-5918	459	2	yuen	yuen	PROPN
ap-5918	459	3	.	.	PUNCT
ap-5918	460	1	two	two	NUM
ap-5918	460	2	-	-	PUNCT
ap-5918	460	3	photon	photon	NOUN
ap-5918	460	4	coherent	coherent	ADJ
ap-5918	460	5	states	state	NOUN
ap-5918	460	6	of	of	ADP
ap-5918	460	7	the	the	DET
ap-5918	460	8	radiation	radiation	NOUN
ap-5918	460	9	field	field	NOUN
ap-5918	460	10	.	.	PUNCT
ap-5918	461	1	physical	physical	ADJ
ap-5918	461	2	review	review	NOUN
ap-5918	461	3	a	a	DET
ap-5918	461	4	13:2226	13:2226	NUM
ap-5918	461	5	–	–	PUNCT
ap-5918	461	6	2243	2243	NUM
ap-5918	461	7	,	,	PUNCT
ap-5918	461	8	1976	1976	NUM
ap-5918	461	9	.	.	PUNCT
ap-5918	462	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	462	2	/	/	SYM
ap-5918	462	3	physreva.13.2226	physreva.13.2226	NOUN
ap-5918	462	4	.	.	PUNCT
ap-5918	463	1	[	[	X
ap-5918	463	2	40	40	NUM
ap-5918	463	3	]	]	PUNCT
ap-5918	463	4	m.	m.	NOUN
ap-5918	463	5	governale	governale	PROPN
ap-5918	463	6	,	,	PUNCT
ap-5918	463	7	f.	f.	PROPN
ap-5918	463	8	taddei	taddei	PROPN
ap-5918	463	9	,	,	PUNCT
ap-5918	463	10	r.	r.	PROPN
ap-5918	463	11	fazio	fazio	PROPN
ap-5918	463	12	.	.	PUNCT
ap-5918	464	1	pumping	pump	VERB
ap-5918	464	2	spin	spin	NOUN
ap-5918	464	3	with	with	ADP
ap-5918	464	4	electrical	electrical	ADJ
ap-5918	464	5	fields	field	NOUN
ap-5918	464	6	.	.	PUNCT
ap-5918	465	1	physical	physical	PROPN
ap-5918	465	2	review	review	PROPN
ap-5918	465	3	b	b	PROPN
ap-5918	465	4	68:155324	68:155324	PROPN
ap-5918	465	5	,	,	PUNCT
ap-5918	465	6	2003	2003	NUM
ap-5918	465	7	.	.	PUNCT
ap-5918	466	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	466	2	/	/	SYM
ap-5918	466	3	physrevb.68.155324	physrevb.68.155324	NOUN
ap-5918	466	4	.	.	PUNCT
ap-5918	467	1	[	[	X
ap-5918	467	2	41	41	NUM
ap-5918	467	3	]	]	PUNCT
ap-5918	467	4	a.	a.	NOUN
ap-5918	467	5	g.	g.	PROPN
ap-5918	467	6	mal’shukov	mal’shukov	PROPN
ap-5918	467	7	,	,	PUNCT
ap-5918	467	8	c.	c.	PROPN
ap-5918	467	9	s.	s.	PROPN
ap-5918	467	10	tang	tang	PROPN
ap-5918	467	11	,	,	PUNCT
ap-5918	467	12	c.	c.	PROPN
ap-5918	467	13	s.	s.	PROPN
ap-5918	467	14	chu	chu	PROPN
ap-5918	467	15	,	,	PUNCT
ap-5918	467	16	k.	k.	PROPN
ap-5918	467	17	a.	a.	PROPN
ap-5918	467	18	chao	chao	PROPN
ap-5918	467	19	.	.	PUNCT
ap-5918	468	1	spin	spin	NOUN
ap-5918	468	2	-	-	PUNCT
ap-5918	468	3	current	current	ADJ
ap-5918	468	4	generation	generation	NOUN
ap-5918	468	5	and	and	CCONJ
ap-5918	468	6	detection	detection	NOUN
ap-5918	468	7	in	in	ADP
ap-5918	468	8	the	the	DET
ap-5918	468	9	presence	presence	NOUN
ap-5918	468	10	of	of	ADP
ap-5918	468	11	an	an	DET
ap-5918	468	12	ac	ac	PROPN
ap-5918	468	13	gate	gate	PROPN
ap-5918	468	14	.	.	PUNCT
ap-5918	469	1	physical	physical	PROPN
ap-5918	469	2	review	review	PROPN
ap-5918	469	3	b	b	PROPN
ap-5918	469	4	68:233307	68:233307	PROPN
ap-5918	469	5	,	,	PUNCT
ap-5918	469	6	2003	2003	NUM
ap-5918	469	7	.	.	PUNCT
ap-5918	470	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	470	2	/	/	SYM
ap-5918	470	3	physrevb.68.233307	physrevb.68.233307	NOUN
ap-5918	470	4	.	.	PUNCT
ap-5918	471	1	[	[	X
ap-5918	471	2	42	42	NUM
ap-5918	471	3	]	]	PUNCT
ap-5918	471	4	l.	l.	PROPN
ap-5918	471	5	s.	s.	PROPN
ap-5918	471	6	brown	brown	PROPN
ap-5918	471	7	.	.	PUNCT
ap-5918	472	1	quantum	quantum	ADJ
ap-5918	472	2	motion	motion	NOUN
ap-5918	472	3	in	in	ADP
ap-5918	472	4	a	a	DET
ap-5918	472	5	paul	paul	PROPN
ap-5918	472	6	trap	trap	NOUN
ap-5918	472	7	.	.	PUNCT
ap-5918	473	1	physical	physical	ADJ
ap-5918	473	2	review	review	NOUN
ap-5918	473	3	letters	letter	NOUN
ap-5918	473	4	66:527	66:527	NUM
ap-5918	473	5	–	–	PUNCT
ap-5918	473	6	529	529	NUM
ap-5918	473	7	,	,	PUNCT
ap-5918	473	8	1991	1991	NUM
ap-5918	473	9	.	.	PUNCT
ap-5918	474	1	doi:10.1103	doi:10.1103	X
ap-5918	474	2	/	/	SYM
ap-5918	474	3	physrevlett.66.527	physrevlett.66.527	NUM
ap-5918	474	4	.	.	PUNCT
ap-5918	475	1	[	[	X
ap-5918	475	2	43	43	NUM
ap-5918	475	3	]	]	PUNCT
ap-5918	475	4	m.	m.	NOUN
ap-5918	475	5	feng	feng	PROPN
ap-5918	475	6	.	.	PUNCT
ap-5918	476	1	complete	complete	ADJ
ap-5918	476	2	solution	solution	NOUN
ap-5918	476	3	of	of	ADP
ap-5918	476	4	the	the	DET
ap-5918	476	5	schrödinger	schrödinger	ADJ
ap-5918	476	6	equation	equation	NOUN
ap-5918	476	7	for	for	ADP
ap-5918	476	8	the	the	DET
ap-5918	476	9	time	time	NOUN
ap-5918	476	10	-	-	PUNCT
ap-5918	476	11	dependent	dependent	ADJ
ap-5918	476	12	linear	linear	ADJ
ap-5918	476	13	potential	potential	NOUN
ap-5918	476	14	.	.	PUNCT
ap-5918	477	1	physical	physical	ADJ
ap-5918	477	2	review	review	NOUN
ap-5918	477	3	a	a	DET
ap-5918	477	4	64:034101	64:034101	PROPN
ap-5918	477	5	,	,	PUNCT
ap-5918	477	6	2001	2001	NUM
ap-5918	477	7	.	.	PUNCT
ap-5918	478	1	doi:10.1103	doi:10.1103	PROPN
ap-5918	478	2	/	/	SYM
ap-5918	478	3	physreva.64.034101	physreva.64.034101	NOUN
ap-5918	478	4	.	.	PUNCT
ap-5918	479	1	[	[	X
ap-5918	479	2	44	44	NUM
ap-5918	479	3	]	]	PUNCT
ap-5918	479	4	m.-l	m.-l	PROPN
ap-5918	479	5	.	.	PUNCT
ap-5918	480	1	liang	liang	PROPN
ap-5918	480	2	,	,	PUNCT
ap-5918	480	3	z.-g	z.-g	PROPN
ap-5918	480	4	.	.	PUNCT
ap-5918	481	1	zhang	zhang	PROPN
ap-5918	481	2	,	,	PUNCT
ap-5918	481	3	k.-s	k.-s	PROPN
ap-5918	481	4	.	.	PUNCT
ap-5918	482	1	zhong	zhong	PROPN
ap-5918	482	2	.	.	PUNCT
ap-5918	482	3	quantum	quantum	ADJ
ap-5918	482	4	-	-	ADJ
ap-5918	482	5	classical	classical	ADJ
ap-5918	482	6	correspondence	correspondence	NOUN
ap-5918	482	7	of	of	ADP
ap-5918	482	8	the	the	DET
ap-5918	482	9	time	time	NOUN
ap-5918	482	10	-	-	PUNCT
ap-5918	482	11	dependent	dependent	ADJ
ap-5918	482	12	linear	linear	ADJ
ap-5918	482	13	potential	potential	NOUN
ap-5918	482	14	.	.	PUNCT
ap-5918	483	1	czechoslovak	czechoslovak	ADJ
ap-5918	483	2	journal	journal	PROPN
ap-5918	483	3	of	of	ADP
ap-5918	483	4	physics	physics	PROPN
ap-5918	483	5	54:397	54:397	NUM
ap-5918	483	6	–	–	PUNCT
ap-5918	483	7	402	402	NUM
ap-5918	483	8	,	,	PUNCT
ap-5918	483	9	2004	2004	NUM
ap-5918	483	10	.	.	PUNCT
ap-5918	484	1	doi:10.1023	doi:10.1023	NOUN
ap-5918	484	2	/	/	SYM
ap-5918	485	1	b	b	X
ap-5918	485	2	:	:	PUNCT
ap-5918	485	3	cjop.0000020579.42018.d9	cjop.0000020579.42018.d9	NOUN
ap-5918	485	4	.	.	PUNCT
ap-5918	486	1	[	[	X
ap-5918	486	2	45	45	NUM
ap-5918	486	3	]	]	PUNCT
ap-5918	486	4	h.	h.	PROPN
ap-5918	486	5	r.	r.	PROPN
ap-5918	486	6	lewis	lewis	PROPN
ap-5918	486	7	.	.	PUNCT
ap-5918	487	1	classical	classical	ADJ
ap-5918	487	2	and	and	CCONJ
ap-5918	487	3	quantum	quantum	NOUN
ap-5918	487	4	systems	system	NOUN
ap-5918	487	5	with	with	ADP
ap-5918	487	6	time	time	NOUN
ap-5918	487	7	-	-	PUNCT
ap-5918	487	8	dependent	dependent	ADJ
ap-5918	487	9	harmonic	harmonic	ADJ
ap-5918	487	10	-	-	PUNCT
ap-5918	487	11	oscillator	oscillator	NOUN
ap-5918	487	12	-	-	PUNCT
ap-5918	487	13	type	type	NOUN
ap-5918	487	14	hamiltonians	hamiltonian	NOUN
ap-5918	487	15	.	.	PUNCT
ap-5918	488	1	physical	physical	ADJ
ap-5918	488	2	review	review	NOUN
ap-5918	488	3	letters	letter	NOUN
ap-5918	488	4	18:510	18:510	NUM
ap-5918	488	5	–	–	PUNCT
ap-5918	488	6	512	512	NUM
ap-5918	488	7	,	,	PUNCT
ap-5918	488	8	1967	1967	NUM
ap-5918	488	9	.	.	PUNCT
ap-5918	489	1	doi:10.1103	doi:10.1103	X
ap-5918	489	2	/	/	SYM
ap-5918	489	3	physrevlett.18.510	physrevlett.18.510	PROPN
ap-5918	489	4	.	.	PUNCT
ap-5918	490	1	[	[	X
ap-5918	490	2	46	46	NUM
ap-5918	490	3	]	]	X
ap-5918	490	4	h.	h.	PROPN
ap-5918	490	5	r.	r.	PROPN
ap-5918	490	6	lewis	lewis	PROPN
ap-5918	490	7	,	,	PUNCT
ap-5918	490	8	w.	w.	PROPN
ap-5918	490	9	b.	b.	PROPN
ap-5918	490	10	riesenfeld	riesenfeld	PROPN
ap-5918	490	11	.	.	PUNCT
ap-5918	491	1	an	an	DET
ap-5918	491	2	exact	exact	ADJ
ap-5918	491	3	quantum	quantum	NOUN
ap-5918	491	4	theory	theory	NOUN
ap-5918	491	5	of	of	ADP
ap-5918	491	6	the	the	DET
ap-5918	491	7	time	time	NOUN
ap-5918	491	8	-	-	PUNCT
ap-5918	491	9	dependent	dependent	ADJ
ap-5918	491	10	harmonic	harmonic	ADJ
ap-5918	491	11	oscillator	oscillator	NOUN
ap-5918	491	12	and	and	CCONJ
ap-5918	491	13	of	of	ADP
ap-5918	491	14	a	a	DET
ap-5918	491	15	charged	charge	VERB
ap-5918	491	16	particle	particle	NOUN
ap-5918	491	17	in	in	ADP
ap-5918	491	18	a	a	DET
ap-5918	491	19	time	time	NOUN
ap-5918	491	20	-	-	PUNCT
ap-5918	491	21	dependent	dependent	ADJ
ap-5918	491	22	electromagnetic	electromagnetic	ADJ
ap-5918	491	23	field	field	NOUN
ap-5918	491	24	.	.	PUNCT
ap-5918	492	1	journal	journal	PROPN
ap-5918	492	2	of	of	ADP
ap-5918	492	3	mathematical	mathematical	ADJ
ap-5918	492	4	physics	physics	NOUN
ap-5918	492	5	10(8):1458	10(8):1458	NUM
ap-5918	492	6	–	–	PUNCT
ap-5918	492	7	1473	1473	NUM
ap-5918	492	8	,	,	PUNCT
ap-5918	492	9	1969	1969	NUM
ap-5918	492	10	.	.	PUNCT
ap-5918	493	1	doi:10.1063/1.1664991	doi:10.1063/1.1664991	PROPN
ap-5918	493	2	.	.	PUNCT
ap-5918	494	1	[	[	X
ap-5918	494	2	47	47	NUM
ap-5918	494	3	]	]	PUNCT
ap-5918	494	4	i.	i.	PROPN
ap-5918	494	5	a.	a.	PROPN
ap-5918	494	6	pedrosa	pedrosa	PROPN
ap-5918	494	7	,	,	PUNCT
ap-5918	494	8	j.	j.	PROPN
ap-5918	494	9	l.	l.	PROPN
ap-5918	494	10	melo	melo	PROPN
ap-5918	494	11	,	,	PUNCT
ap-5918	494	12	e.	e.	PROPN
ap-5918	494	13	nogueira	nogueira	PROPN
ap-5918	494	14	.	.	PUNCT
ap-5918	495	1	linear	linear	PROPN
ap-5918	495	2	invariants	invariant	NOUN
ap-5918	495	3	and	and	CCONJ
ap-5918	495	4	the	the	DET
ap-5918	495	5	quantum	quantum	ADJ
ap-5918	495	6	dynamics	dynamic	NOUN
ap-5918	495	7	of	of	ADP
ap-5918	495	8	a	a	DET
ap-5918	495	9	nonstationary	nonstationary	ADJ
ap-5918	495	10	mesoscopic	mesoscopic	NOUN
ap-5918	495	11	rlc	rlc	PROPN
ap-5918	495	12	circuit	circuit	PROPN
ap-5918	495	13	with	with	ADP
ap-5918	495	14	a	a	DET
ap-5918	495	15	source	source	NOUN
ap-5918	495	16	.	.	PUNCT
ap-5918	496	1	modern	modern	ADJ
ap-5918	496	2	physics	physics	PROPN
ap-5918	496	3	letters	letters	PROPN
ap-5918	496	4	b	b	PROPN
ap-5918	496	5	28(27):1450212	28(27):1450212	NUM
ap-5918	496	6	,	,	PUNCT
ap-5918	496	7	2014	2014	NUM
ap-5918	496	8	.	.	PUNCT
ap-5918	497	1	doi:10.1142	doi:10.1142	NOUN
ap-5918	497	2	/	/	SYM
ap-5918	497	3	s0217984914502121	s0217984914502121	PROPN
ap-5918	497	4	.	.	PUNCT
ap-5918	498	1	[	[	X
ap-5918	498	2	48	48	NUM
ap-5918	498	3	]	]	PUNCT
ap-5918	498	4	x.	x.	PROPN
ap-5918	498	5	chen	chen	PROPN
ap-5918	498	6	,	,	PUNCT
ap-5918	498	7	a.	a.	PROPN
ap-5918	498	8	ruschhaupt	ruschhaupt	PROPN
ap-5918	498	9	,	,	PUNCT
ap-5918	498	10	s.	s.	PROPN
ap-5918	498	11	schmidt	schmidt	PROPN
ap-5918	498	12	,	,	PUNCT
ap-5918	498	13	et	et	PROPN
ap-5918	498	14	al	al	PROPN
ap-5918	498	15	.	.	PUNCT
ap-5918	499	1	fast	fast	ADJ
ap-5918	499	2	optimal	optimal	ADJ
ap-5918	499	3	frictionless	frictionless	ADJ
ap-5918	499	4	atom	atom	NOUN
ap-5918	499	5	cooling	cooling	NOUN
ap-5918	499	6	in	in	ADP
ap-5918	499	7	harmonic	harmonic	ADJ
ap-5918	499	8	traps	trap	NOUN
ap-5918	499	9	:	:	PUNCT
ap-5918	499	10	shortcut	shortcut	NOUN
ap-5918	499	11	to	to	ADP
ap-5918	499	12	adiabaticity	adiabaticity	NOUN
ap-5918	499	13	.	.	PUNCT
ap-5918	500	1	physical	physical	ADJ
ap-5918	500	2	review	review	NOUN
ap-5918	500	3	letters	letter	NOUN
ap-5918	500	4	104:063002	104:063002	NUM
ap-5918	500	5	,	,	PUNCT
ap-5918	500	6	2010	2010	NUM
ap-5918	500	7	.	.	PUNCT
ap-5918	501	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	501	2	/	/	SYM
ap-5918	501	3	physrevlett.104.063002	physrevlett.104.063002	NOUN
ap-5918	501	4	.	.	PUNCT
ap-5918	502	1	[	[	X
ap-5918	502	2	49	49	NUM
ap-5918	502	3	]	]	PUNCT
ap-5918	502	4	s.	s.	PROPN
ap-5918	502	5	dey	dey	PROPN
ap-5918	502	6	,	,	PUNCT
ap-5918	502	7	a.	a.	NOUN
ap-5918	502	8	fring	fring	NOUN
ap-5918	502	9	.	.	PUNCT
ap-5918	503	1	noncommutative	noncommutative	ADJ
ap-5918	503	2	quantum	quantum	ADJ
ap-5918	503	3	mechanics	mechanic	NOUN
ap-5918	503	4	in	in	ADP
ap-5918	503	5	a	a	DET
ap-5918	503	6	time	time	NOUN
ap-5918	503	7	-	-	PUNCT
ap-5918	503	8	dependent	dependent	ADJ
ap-5918	503	9	background	background	NOUN
ap-5918	503	10	.	.	PUNCT
ap-5918	504	1	physical	physical	ADJ
ap-5918	504	2	review	review	PROPN
ap-5918	505	1	d	d	PROPN
ap-5918	505	2	90:084005	90:084005	NUM
ap-5918	505	3	,	,	PUNCT
ap-5918	505	4	2014	2014	NUM
ap-5918	505	5	.	.	PUNCT
ap-5918	506	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	506	2	/	/	SYM
ap-5918	506	3	physrevd.90.084005	physrevd.90.084005	VERB
ap-5918	506	4	.	.	PUNCT
ap-5918	507	1	[	[	X
ap-5918	507	2	50	50	NUM
ap-5918	507	3	]	]	X
ap-5918	507	4	v.	v.	CCONJ
ap-5918	507	5	v.	v.	CCONJ
ap-5918	507	6	nesvizhevsky	nesvizhevsky	PROPN
ap-5918	507	7	,	,	PUNCT
ap-5918	507	8	h.	h.	PROPN
ap-5918	507	9	g.	g.	PROPN
ap-5918	507	10	börner	börner	PROPN
ap-5918	507	11	,	,	PUNCT
ap-5918	507	12	a.	a.	NOUN
ap-5918	507	13	m.	m.	NOUN
ap-5918	507	14	gagarski	gagarski	PROPN
ap-5918	507	15	,	,	PUNCT
ap-5918	507	16	et	et	PROPN
ap-5918	507	17	al	al	PROPN
ap-5918	507	18	.	.	PROPN
ap-5918	507	19	measurement	measurement	NOUN
ap-5918	507	20	of	of	ADP
ap-5918	507	21	quantum	quantum	ADJ
ap-5918	507	22	states	state	NOUN
ap-5918	507	23	of	of	ADP
ap-5918	507	24	neutrons	neutron	NOUN
ap-5918	507	25	in	in	ADP
ap-5918	507	26	the	the	DET
ap-5918	507	27	earth	earth	NOUN
ap-5918	507	28	’s	’s	PART
ap-5918	507	29	gravitational	gravitational	ADJ
ap-5918	507	30	field	field	NOUN
ap-5918	507	31	.	.	PUNCT
ap-5918	508	1	physical	physical	ADJ
ap-5918	508	2	review	review	PROPN
ap-5918	508	3	d	d	PROPN
ap-5918	508	4	67:102002	67:102002	NOUN
ap-5918	508	5	,	,	PUNCT
ap-5918	508	6	2003	2003	NUM
ap-5918	508	7	.	.	PUNCT
ap-5918	509	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	509	2	/	/	SYM
ap-5918	509	3	physrevd.67.102002	physrevd.67.102002	NOUN
ap-5918	509	4	.	.	PUNCT
ap-5918	510	1	[	[	X
ap-5918	510	2	51	51	NUM
ap-5918	510	3	]	]	PUNCT
ap-5918	510	4	v.	v.	CCONJ
ap-5918	510	5	nesvizhevsky	nesvizhevsky	PROPN
ap-5918	510	6	,	,	PUNCT
ap-5918	510	7	h.	h.	PROPN
ap-5918	510	8	bã¶rner	bã¶rner	PROPN
ap-5918	510	9	,	,	PUNCT
ap-5918	510	10	a.	a.	NOUN
ap-5918	510	11	petukhov	petukhov	PROPN
ap-5918	510	12	,	,	PUNCT
ap-5918	510	13	et	et	PROPN
ap-5918	510	14	al	al	PROPN
ap-5918	510	15	.	.	PUNCT
ap-5918	510	16	quantum	quantum	PROPN
ap-5918	510	17	states	state	NOUN
ap-5918	510	18	of	of	ADP
ap-5918	510	19	neutrons	neutron	NOUN
ap-5918	510	20	in	in	ADP
ap-5918	510	21	the	the	DET
ap-5918	510	22	earth	earth	NOUN
ap-5918	510	23	’s	’s	PART
ap-5918	510	24	gravitational	gravitational	ADJ
ap-5918	510	25	field	field	NOUN
ap-5918	510	26	.	.	PUNCT
ap-5918	511	1	nature	nature	NOUN
ap-5918	511	2	415:297	415:297	ADV
ap-5918	511	3	–	–	PUNCT
ap-5918	511	4	299	299	NUM
ap-5918	511	5	,	,	PUNCT
ap-5918	511	6	2002	2002	NUM
ap-5918	511	7	.	.	PUNCT
ap-5918	512	1	doi:10.1038/415297a	doi:10.1038/415297a	PROPN
ap-5918	512	2	.	.	PUNCT
ap-5918	513	1	120	120	NUM
ap-5918	513	2	http://dx.doi.org/10.1103/physrevb.79.045420	http://dx.doi.org/10.1103/physrevb.79.045420	PROPN
ap-5918	513	3	http://dx.doi.org/10.1038/nature04235	http://dx.doi.org/10.1038/nature04235	ADJ
ap-5918	513	4	http://dx.doi.org/10.1038/nature08582	http://dx.doi.org/10.1038/nature08582	PROPN
ap-5918	513	5	http://dx.doi.org/10.1063/1.2981389	http://dx.doi.org/10.1063/1.2981389	PROPN
ap-5918	514	1	http://dx.doi.org/10.1103/physrevlett.98.116802	http://dx.doi.org/10.1103/physrevlett.98.116802	PROPN
ap-5918	514	2	http://dx.doi.org/10.1103/physrevb.96.081110	http://dx.doi.org/10.1103/physrevb.96.081110	PROPN
ap-5918	514	3	http://dx.doi.org/10.1103/physrevb.57.13050	http://dx.doi.org/10.1103/physrevb.57.13050	PROPN
ap-5918	515	1	http://dx.doi.org/10.1103/physrevb.60.1830	http://dx.doi.org/10.1103/physrevb.60.1830	PROPN
ap-5918	515	2	http://dx.doi.org/10.1103/physrevb.62.8269	http://dx.doi.org/10.1103/physrevb.62.8269	PROPN
ap-5918	515	3	http://dx.doi.org/10.1103/physreva.55.3961	http://dx.doi.org/10.1103/physreva.55.3961	PROPN
ap-5918	515	4	http://dx.doi.org/10.1103/physreva.57.1972	http://dx.doi.org/10.1103/physreva.57.1972	PROPN
ap-5918	515	5	http://dx.doi.org/10.1103/physrevlett.92.133004	http://dx.doi.org/10.1103/physrevlett.92.133004	PROPN
ap-5918	515	6	http://dx.doi.org/10.1103/physrevb.65.113304	http://dx.doi.org/10.1103/physrevb.65.113304	ADJ
ap-5918	515	7	http://dx.doi.org/10.1103/physreva.13.2226	http://dx.doi.org/10.1103/physreva.13.2226	NOUN
ap-5918	516	1	http://dx.doi.org/10.1103/physrevb.68.155324	http://dx.doi.org/10.1103/physrevb.68.155324	PROPN
ap-5918	516	2	http://dx.doi.org/10.1103/physrevb.68.233307	http://dx.doi.org/10.1103/physrevb.68.233307	PROPN
ap-5918	516	3	http://dx.doi.org/10.1103/physrevlett.66.527	http://dx.doi.org/10.1103/physrevlett.66.527	PROPN
ap-5918	516	4	http://dx.doi.org/10.1103/physreva.64.034101	http://dx.doi.org/10.1103/physreva.64.034101	PROPN
ap-5918	516	5	http://dx.doi.org/10.1023/b:cjop.0000020579.42018.d9	http://dx.doi.org/10.1023/b:cjop.0000020579.42018.d9	PRON
ap-5918	516	6	http://dx.doi.org/10.1103/physrevlett.18.510	http://dx.doi.org/10.1103/physrevlett.18.510	NOUN
ap-5918	516	7	http://dx.doi.org/10.1063/1.1664991	http://dx.doi.org/10.1063/1.1664991	PROPN
ap-5918	517	1	http://dx.doi.org/10.1142/s0217984914502121	http://dx.doi.org/10.1142/s0217984914502121	PROPN
ap-5918	518	1	http://dx.doi.org/10.1103/physrevlett.104.063002	http://dx.doi.org/10.1103/physrevlett.104.063002	PROPN
ap-5918	518	2	http://dx.doi.org/10.1103/physrevd.90.084005	http://dx.doi.org/10.1103/physrevd.90.084005	PROPN
ap-5918	518	3	http://dx.doi.org/10.1103/physrevd.67.102002	http://dx.doi.org/10.1103/physrevd.67.102002	NOUN
ap-5918	518	4	http://dx.doi.org/10.1038/415297a	http://dx.doi.org/10.1038/415297a	PROPN
ap-5918	518	5	vol	vol	NOUN
ap-5918	518	6	.	.	PROPN
ap-5918	519	1	60	60	NUM
ap-5918	519	2	no	no	NOUN
ap-5918	519	3	.	.	PUNCT
ap-5918	520	1	2/2020	2/2020	NUM
ap-5918	520	2	analytical	analytical	ADJ
ap-5918	520	3	solution	solution	NOUN
ap-5918	520	4	of	of	ADP
ap-5918	520	5	(	(	PUNCT
ap-5918	520	6	2	2	NUM
ap-5918	520	7	+	+	NOUN
ap-5918	520	8	1	1	NUM
ap-5918	520	9	)	)	PUNCT
ap-5918	520	10	dimensional	dimensional	ADJ
ap-5918	520	11	dirac	dirac	NOUN
ap-5918	520	12	equation	equation	NOUN
ap-5918	520	13	.	.	PUNCT
ap-5918	520	14	.	.	PUNCT
ap-5918	520	15	.	.	PUNCT
ap-5918	521	1	[	[	X
ap-5918	521	2	52	52	NUM
ap-5918	521	3	]	]	PUNCT
ap-5918	521	4	s.	s.	PROPN
ap-5918	521	5	m.	m.	PROPN
ap-5918	521	6	carroll	carroll	PROPN
ap-5918	521	7	,	,	PUNCT
ap-5918	521	8	j.	j.	PROPN
ap-5918	521	9	a.	a.	PROPN
ap-5918	521	10	harvey	harvey	PROPN
ap-5918	521	11	,	,	PUNCT
ap-5918	521	12	v.	v.	ADP
ap-5918	521	13	a.	a.	PROPN
ap-5918	521	14	kostelecký	kostelecký	PROPN
ap-5918	521	15	,	,	PUNCT
ap-5918	521	16	et	et	PROPN
ap-5918	521	17	al	al	PROPN
ap-5918	521	18	.	.	PUNCT
ap-5918	521	19	noncommutative	noncommutative	ADJ
ap-5918	521	20	field	field	PROPN
ap-5918	521	21	theory	theory	NOUN
ap-5918	521	22	and	and	CCONJ
ap-5918	521	23	lorentz	lorentz	PROPN
ap-5918	521	24	violation	violation	NOUN
ap-5918	521	25	.	.	PUNCT
ap-5918	522	1	physical	physical	ADJ
ap-5918	522	2	review	review	PROPN
ap-5918	522	3	letters	letter	VERB
ap-5918	522	4	87:141601	87:141601	NOUN
ap-5918	522	5	,	,	PUNCT
ap-5918	522	6	2001	2001	NUM
ap-5918	522	7	.	.	PUNCT
ap-5918	523	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	523	2	/	/	SYM
ap-5918	523	3	physrevlett.87.141601	physrevlett.87.141601	ADJ
ap-5918	523	4	.	.	PUNCT
ap-5918	524	1	[	[	X
ap-5918	524	2	53	53	NUM
ap-5918	524	3	]	]	X
ap-5918	524	4	o.	o.	PROPN
ap-5918	524	5	bertolami	bertolami	PROPN
ap-5918	524	6	,	,	PUNCT
ap-5918	524	7	j.	j.	PROPN
ap-5918	524	8	g.	g.	PROPN
ap-5918	524	9	rosa	rosa	PROPN
ap-5918	524	10	,	,	PUNCT
ap-5918	524	11	c.	c.	PROPN
ap-5918	524	12	m.	m.	PROPN
ap-5918	524	13	l.	l.	PROPN
ap-5918	524	14	de	de	PROPN
ap-5918	524	15	aragão	aragão	PROPN
ap-5918	524	16	,	,	PUNCT
ap-5918	524	17	et	et	PROPN
ap-5918	525	1	al	al	PROPN
ap-5918	525	2	.	.	PUNCT
ap-5918	525	3	noncommutative	noncommutative	PROPN
ap-5918	525	4	gravitational	gravitational	ADJ
ap-5918	525	5	quantum	quantum	NOUN
ap-5918	525	6	well	well	NOUN
ap-5918	525	7	.	.	PUNCT
ap-5918	526	1	physical	physical	ADJ
ap-5918	526	2	review	review	PROPN
ap-5918	527	1	d	d	PROPN
ap-5918	527	2	72:025010	72:025010	NUM
ap-5918	527	3	,	,	PUNCT
ap-5918	527	4	2005	2005	NUM
ap-5918	527	5	.	.	PUNCT
ap-5918	528	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	528	2	/	/	SYM
ap-5918	528	3	physrevd.72.025010	physrevd.72.025010	NOUN
ap-5918	528	4	.	.	PUNCT
ap-5918	529	1	[	[	X
ap-5918	529	2	54	54	NUM
ap-5918	529	3	]	]	PUNCT
ap-5918	529	4	f.	f.	PROPN
ap-5918	529	5	delduc	delduc	PROPN
ap-5918	529	6	,	,	PUNCT
ap-5918	529	7	q.	q.	PROPN
ap-5918	529	8	duret	duret	PROPN
ap-5918	529	9	,	,	PUNCT
ap-5918	529	10	f.	f.	PROPN
ap-5918	529	11	gieres	gieres	PROPN
ap-5918	529	12	,	,	PUNCT
ap-5918	529	13	m.	m.	NOUN
ap-5918	529	14	lefrancois	lefrancois	NOUN
ap-5918	529	15	.	.	PUNCT
ap-5918	530	1	magnetic	magnetic	ADJ
ap-5918	530	2	fields	field	NOUN
ap-5918	530	3	in	in	ADP
ap-5918	530	4	noncommutative	noncommutative	ADJ
ap-5918	530	5	quantum	quantum	ADJ
ap-5918	530	6	mechanics	mechanic	NOUN
ap-5918	530	7	.	.	PUNCT
ap-5918	531	1	journal	journal	PROPN
ap-5918	531	2	of	of	ADP
ap-5918	531	3	physics	physics	PROPN
ap-5918	531	4	:	:	PUNCT
ap-5918	531	5	conference	conference	NOUN
ap-5918	531	6	series	series	NOUN
ap-5918	531	7	103:012020	103:012020	NUM
ap-5918	531	8	,	,	PUNCT
ap-5918	531	9	2008	2008	NUM
ap-5918	531	10	.	.	PUNCT
ap-5918	532	1	doi:10.1088/1742	doi:10.1088/1742	PROPN
ap-5918	532	2	-	-	PUNCT
ap-5918	532	3	6596/103/1/012020	6596/103/1/012020	NUM
ap-5918	532	4	.	.	PUNCT
ap-5918	533	1	[	[	X
ap-5918	533	2	55	55	NUM
ap-5918	533	3	]	]	PUNCT
ap-5918	533	4	x.	x.	PROPN
ap-5918	533	5	jiang	jiang	PROPN
ap-5918	533	6	,	,	PUNCT
ap-5918	533	7	c.	c.	PROPN
ap-5918	533	8	long	long	PROPN
ap-5918	533	9	,	,	PUNCT
ap-5918	533	10	s.	s.	PROPN
ap-5918	533	11	qin	qin	PROPN
ap-5918	533	12	.	.	PUNCT
ap-5918	533	13	solution	solution	NOUN
ap-5918	533	14	of	of	ADP
ap-5918	533	15	dirac	dirac	NOUN
ap-5918	533	16	equation	equation	NOUN
ap-5918	533	17	with	with	ADP
ap-5918	533	18	the	the	DET
ap-5918	533	19	time	time	NOUN
ap-5918	533	20	-	-	PUNCT
ap-5918	533	21	dependent	dependent	ADJ
ap-5918	533	22	linear	linear	ADJ
ap-5918	533	23	potential	potential	NOUN
ap-5918	533	24	in	in	ADP
ap-5918	533	25	non	non	ADJ
ap-5918	533	26	-	-	ADJ
ap-5918	533	27	commutative	commutative	ADJ
ap-5918	533	28	phase	phase	NOUN
ap-5918	533	29	space	space	NOUN
ap-5918	533	30	.	.	PUNCT
ap-5918	534	1	journal	journal	NOUN
ap-5918	534	2	of	of	ADP
ap-5918	534	3	modern	modern	ADJ
ap-5918	534	4	physics	physic	NOUN
ap-5918	534	5	04:940	04:940	NUM
ap-5918	534	6	–	–	PUNCT
ap-5918	534	7	944	944	NUM
ap-5918	534	8	,	,	PUNCT
ap-5918	534	9	2013	2013	NUM
ap-5918	534	10	.	.	PUNCT
ap-5918	535	1	doi:10.4236	doi:10.4236	PROPN
ap-5918	535	2	/	/	SYM
ap-5918	535	3	jmp.2013.47126	jmp.2013.47126	PROPN
ap-5918	535	4	.	.	PUNCT
ap-5918	536	1	[	[	X
ap-5918	536	2	56	56	NUM
ap-5918	536	3	]	]	X
ap-5918	536	4	h.	h.	PROPN
ap-5918	536	5	sobhani	sobhani	PROPN
ap-5918	536	6	,	,	PUNCT
ap-5918	536	7	h.	h.	PROPN
ap-5918	536	8	hassanabadi	hassanabadi	PROPN
ap-5918	536	9	.	.	PUNCT
ap-5918	537	1	two	two	NUM
ap-5918	537	2	-	-	PUNCT
ap-5918	537	3	dimensional	dimensional	ADJ
ap-5918	537	4	linear	linear	NOUN
ap-5918	537	5	dependencies	dependency	NOUN
ap-5918	537	6	on	on	ADP
ap-5918	537	7	the	the	DET
ap-5918	537	8	coordinate	coordinate	NOUN
ap-5918	537	9	time	time	NOUN
ap-5918	537	10	-	-	PUNCT
ap-5918	537	11	dependent	dependent	ADJ
ap-5918	537	12	interaction	interaction	NOUN
ap-5918	537	13	in	in	ADP
ap-5918	537	14	relativistic	relativistic	ADJ
ap-5918	537	15	non	non	ADJ
ap-5918	537	16	-	-	ADJ
ap-5918	537	17	commutative	commutative	ADJ
ap-5918	537	18	phase	phase	NOUN
ap-5918	537	19	space	space	NOUN
ap-5918	537	20	.	.	PUNCT
ap-5918	538	1	communications	communication	NOUN
ap-5918	538	2	in	in	ADP
ap-5918	538	3	theoretical	theoretical	ADJ
ap-5918	538	4	physics	physics	NOUN
ap-5918	538	5	64(3):263	64(3):263	NUM
ap-5918	538	6	–	–	PUNCT
ap-5918	538	7	268	268	NUM
ap-5918	538	8	,	,	PUNCT
ap-5918	538	9	2015	2015	NUM
ap-5918	538	10	.	.	PUNCT
ap-5918	539	1	doi:10.1088/0253	doi:10.1088/0253	NOUN
ap-5918	539	2	-	-	PUNCT
ap-5918	539	3	6102/64/3/263	6102/64/3/263	NUM
ap-5918	539	4	.	.	PUNCT
ap-5918	540	1	[	[	X
ap-5918	540	2	57	57	NUM
ap-5918	540	3	]	]	PUNCT
ap-5918	540	4	m.	m.	NOUN
ap-5918	540	5	merad	merad	PROPN
ap-5918	540	6	,	,	PUNCT
ap-5918	540	7	s.	s.	PROPN
ap-5918	540	8	bensaid	bensaid	PROPN
ap-5918	540	9	.	.	PUNCT
ap-5918	541	1	wave	wave	NOUN
ap-5918	541	2	functions	function	NOUN
ap-5918	541	3	for	for	ADP
ap-5918	541	4	a	a	DET
ap-5918	541	5	duffin	duffin	NOUN
ap-5918	541	6	-	-	PUNCT
ap-5918	541	7	kemmer	kemmer	NOUN
ap-5918	541	8	-	-	PUNCT
ap-5918	541	9	petiau	petiau	PROPN
ap-5918	541	10	particle	particle	NOUN
ap-5918	541	11	in	in	ADP
ap-5918	541	12	a	a	DET
ap-5918	541	13	time	time	NOUN
ap-5918	541	14	-	-	PUNCT
ap-5918	541	15	dependent	dependent	ADJ
ap-5918	541	16	potential	potential	NOUN
ap-5918	541	17	.	.	PUNCT
ap-5918	542	1	journal	journal	NOUN
ap-5918	542	2	of	of	ADP
ap-5918	542	3	mathematical	mathematical	ADJ
ap-5918	542	4	physics	physics	PROPN
ap-5918	542	5	48(7):073515	48(7):073515	NUM
ap-5918	542	6	,	,	PUNCT
ap-5918	542	7	2007	2007	NUM
ap-5918	542	8	.	.	PUNCT
ap-5918	543	1	doi:10.1063/1.2747609	doi:10.1063/1.2747609	NOUN
ap-5918	543	2	.	.	PUNCT
ap-5918	544	1	[	[	X
ap-5918	544	2	58	58	NUM
ap-5918	544	3	]	]	PUNCT
ap-5918	544	4	z.	z.	PROPN
ap-5918	544	5	jiang	jiang	PROPN
ap-5918	544	6	,	,	PUNCT
ap-5918	544	7	e.	e.	PROPN
ap-5918	544	8	a.	a.	PROPN
ap-5918	544	9	henriksen	henriksen	PROPN
ap-5918	544	10	,	,	PUNCT
ap-5918	544	11	l.	l.	PROPN
ap-5918	544	12	c.	c.	PROPN
ap-5918	544	13	tung	tung	PROPN
ap-5918	544	14	,	,	PUNCT
ap-5918	544	15	et	et	PROPN
ap-5918	544	16	al	al	PROPN
ap-5918	544	17	.	.	PROPN
ap-5918	544	18	infrared	infrared	PROPN
ap-5918	544	19	spectroscopy	spectroscopy	NOUN
ap-5918	544	20	of	of	ADP
ap-5918	544	21	landau	landau	NOUN
ap-5918	544	22	levels	level	NOUN
ap-5918	544	23	of	of	ADP
ap-5918	544	24	graphene	graphene	NOUN
ap-5918	544	25	.	.	PUNCT
ap-5918	545	1	physical	physical	ADJ
ap-5918	545	2	review	review	NOUN
ap-5918	545	3	letters	letter	NOUN
ap-5918	545	4	98:197403	98:197403	NUM
ap-5918	545	5	,	,	PUNCT
ap-5918	545	6	2007	2007	NUM
ap-5918	545	7	.	.	PUNCT
ap-5918	546	1	doi:10.1103	doi:10.1103	NOUN
ap-5918	546	2	/	/	SYM
ap-5918	546	3	physrevlett.98.197403	physrevlett.98.197403	NOUN
ap-5918	546	4	.	.	PUNCT
ap-5918	547	1	121	121	NUM
ap-5918	547	2	http://dx.doi.org/10.1103/physrevlett.87.141601	http://dx.doi.org/10.1103/physrevlett.87.141601	NOUN
ap-5918	547	3	http://dx.doi.org/10.1103/physrevd.72.025010	http://dx.doi.org/10.1103/physrevd.72.025010	NOUN
ap-5918	547	4	http://dx.doi.org/10.1088/1742-6596/103/1/012020	http://dx.doi.org/10.1088/1742-6596/103/1/012020	VERB
ap-5918	547	5	http://dx.doi.org/10.4236/jmp.2013.47126	http://dx.doi.org/10.4236/jmp.2013.47126	PRON
ap-5918	547	6	http://dx.doi.org/10.1088/0253-6102/64/3/263	http://dx.doi.org/10.1088/0253-6102/64/3/263	ADJ
ap-5918	547	7	http://dx.doi.org/10.1063/1.2747609	http://dx.doi.org/10.1063/1.2747609	VERB
ap-5918	547	8	http://dx.doi.org/10.1103/physrevlett.98.197403	http://dx.doi.org/10.1103/physrevlett.98.197403	NOUN
ap-5918	547	9	acta	acta	PROPN
ap-5918	547	10	polytechnica	polytechnica	PROPN
ap-5918	547	11	60(2):1–11	60(2):1–11	PROPN
ap-5918	547	12	,	,	PUNCT
ap-5918	547	13	2020	2020	NUM
ap-5918	547	14	1	1	NUM
ap-5918	547	15	introduction	introduction	NOUN
ap-5918	547	16	2	2	NUM
ap-5918	547	17	time	time	NOUN
ap-5918	547	18	-	-	PUNCT
ap-5918	547	19	dependent	dependent	ADJ
ap-5918	547	20	noncommutativity	noncommutativity	NOUN
ap-5918	547	21	3	3	NUM
ap-5918	547	22	(	(	PUNCT
ap-5918	547	23	2	2	NUM
ap-5918	547	24	+	+	NOUN
ap-5918	547	25	1	1	NUM
ap-5918	547	26	)	)	PUNCT
ap-5918	547	27	d	d	NOUN
ap-5918	547	28	explicitly	explicitly	ADV
ap-5918	547	29	time	time	NOUN
ap-5918	547	30	-	-	PUNCT
ap-5918	547	31	dependent	dependent	ADJ
ap-5918	547	32	dirac	dirac	NOUN
ap-5918	547	33	equation	equation	NOUN
ap-5918	547	34	and	and	CCONJ
ap-5918	547	35	its	its	PRON
ap-5918	547	36	invariant	invariant	ADJ
ap-5918	547	37	operator	operator	NOUN
ap-5918	547	38	3.1	3.1	NUM
ap-5918	547	39	(	(	PUNCT
ap-5918	547	40	2	2	NUM
ap-5918	547	41	+	+	NOUN
ap-5918	547	42	1	1	NUM
ap-5918	547	43	)	)	PUNCT
ap-5918	547	44	d	d	NOUN
ap-5918	547	45	dirac	dirac	NOUN
ap-5918	547	46	equation	equation	NOUN
ap-5918	547	47	in	in	ADP
ap-5918	547	48	time	time	NOUN
ap-5918	547	49	-	-	PUNCT
ap-5918	547	50	dependent	dependent	ADJ
ap-5918	547	51	noncommutative	noncommutative	ADJ
ap-5918	547	52	phase	phase	NOUN
ap-5918	547	53	-	-	PUNCT
ap-5918	547	54	space	space	NOUN
ap-5918	547	55	3.2	3.2	NUM
ap-5918	547	56	the	the	DET
ap-5918	547	57	construction	construction	NOUN
ap-5918	547	58	of	of	ADP
ap-5918	547	59	the	the	DET
ap-5918	547	60	lewis	lewis	NOUN
ap-5918	547	61	-	-	PUNCT
ap-5918	547	62	riesenfeld	riesenfeld	NOUN
ap-5918	547	63	invariants	invariant	NOUN
ap-5918	547	64	3.3	3.3	NUM
ap-5918	547	65	eigenvalues	eigenvalue	NOUN
ap-5918	547	66	and	and	CCONJ
ap-5918	547	67	eigenstates	eigenstate	NOUN
ap-5918	547	68	of	of	ADP
ap-5918	547	69	i	i	PRON
ap-5918	547	70	and	and	CCONJ
ap-5918	547	71	h(t	h(t	PROPN
ap-5918	547	72	)	)	PUNCT
ap-5918	547	73	3.4	3.4	NUM
ap-5918	547	74	the	the	DET
ap-5918	547	75	exact	exact	ADJ
ap-5918	547	76	form	form	NOUN
ap-5918	547	77	of	of	ADP
ap-5918	547	78	the	the	DET
ap-5918	547	79	solutions	solution	NOUN
ap-5918	547	80	of	of	ADP
ap-5918	547	81	the	the	DET
ap-5918	547	82	problem	problem	NOUN
ap-5918	547	83	4	4	NUM
ap-5918	547	84	conclusion	conclusion	NOUN
ap-5918	547	85	acknowledgements	acknowledgement	NOUN
ap-5918	547	86	references	reference	NOUN