id	sid	tid	token	lemma	pos
ap-4598	1	1	acta	acta	PROPN
ap-4598	1	2	polytechnica	polytechnica	PROPN
ap-4598	1	3	doi:10.14311	doi:10.14311	PROPN
ap-4598	1	4	/	/	SYM
ap-4598	1	5	ap.2017.57.0424	ap.2017.57.0424	PROPN
ap-4598	1	6	acta	acta	PROPN
ap-4598	1	7	polytechnica	polytechnica	PROPN
ap-4598	1	8	57(6):424–429	57(6):424–429	PROPN
ap-4598	1	9	,	,	PUNCT
ap-4598	1	10	2017	2017	NUM
ap-4598	1	11	©	©	PROPN
ap-4598	1	12	czech	czech	PROPN
ap-4598	1	13	technical	technical	PROPN
ap-4598	1	14	university	university	PROPN
ap-4598	1	15	in	in	ADP
ap-4598	1	16	prague	prague	PROPN
ap-4598	1	17	,	,	PUNCT
ap-4598	1	18	2017	2017	NUM
ap-4598	1	19	available	available	ADJ
ap-4598	1	20	online	online	ADV
ap-4598	1	21	at	at	ADP
ap-4598	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4598	1	23	non	non	ADJ
ap-4598	1	24	-	-	ADJ
ap-4598	1	25	unitary	unitary	ADJ
ap-4598	1	26	transformation	transformation	NOUN
ap-4598	1	27	of	of	ADP
ap-4598	1	28	quantum	quantum	ADJ
ap-4598	1	29	time	time	NOUN
ap-4598	1	30	-	-	PUNCT
ap-4598	1	31	dependent	dependent	ADJ
ap-4598	1	32	non	non	ADJ
ap-4598	1	33	-	-	ADJ
ap-4598	1	34	hermitian	hermitian	ADJ
ap-4598	1	35	systems	system	NOUN
ap-4598	1	36	mustapha	mustapha	PROPN
ap-4598	1	37	maamache	maamache	PROPN
ap-4598	1	38	laboratoire	laboratoire	PROPN
ap-4598	1	39	de	de	X
ap-4598	1	40	physique	physique	PROPN
ap-4598	1	41	quantique	quantique	ADJ
ap-4598	1	42	et	et	NOUN
ap-4598	1	43	systèmes	systèmes	PROPN
ap-4598	1	44	dynamiques	dynamiques	PROPN
ap-4598	1	45	,	,	PUNCT
ap-4598	1	46	faculté	faculté	PROPN
ap-4598	1	47	des	des	PROPN
ap-4598	1	48	sciences	sciences	PROPN
ap-4598	1	49	,	,	PUNCT
ap-4598	1	50	université	université	PROPN
ap-4598	1	51	ferhat	ferhat	PROPN
ap-4598	1	52	abbas	abbas	PROPN
ap-4598	1	53	sétif	sétif	PROPN
ap-4598	1	54	1	1	NUM
ap-4598	1	55	,	,	PUNCT
ap-4598	1	56	sétif	sétif	NOUN
ap-4598	1	57	19000	19000	NUM
ap-4598	1	58	,	,	PUNCT
ap-4598	1	59	algeria	algeria	PROPN
ap-4598	1	60	.	.	PUNCT
ap-4598	2	1	correspondence	correspondence	NOUN
ap-4598	2	2	:	:	PUNCT
ap-4598	2	3	maamache@univ-setif.dz	maamache@univ-setif.dz	X
ap-4598	3	1	abstract	abstract	ADJ
ap-4598	3	2	.	.	PUNCT
ap-4598	4	1	we	we	PRON
ap-4598	4	2	provide	provide	VERB
ap-4598	4	3	a	a	DET
ap-4598	4	4	new	new	ADJ
ap-4598	4	5	perspective	perspective	NOUN
ap-4598	4	6	on	on	ADP
ap-4598	4	7	non	non	ADJ
ap-4598	4	8	-	-	ADJ
ap-4598	4	9	hermitian	hermitian	ADJ
ap-4598	4	10	evolution	evolution	NOUN
ap-4598	4	11	in	in	ADP
ap-4598	4	12	quantum	quantum	ADJ
ap-4598	4	13	mechanics	mechanic	NOUN
ap-4598	4	14	by	by	ADP
ap-4598	4	15	emphasizing	emphasize	VERB
ap-4598	4	16	the	the	DET
ap-4598	4	17	same	same	ADJ
ap-4598	4	18	method	method	NOUN
ap-4598	4	19	as	as	ADP
ap-4598	4	20	in	in	ADP
ap-4598	4	21	the	the	DET
ap-4598	4	22	hermitian	hermitian	ADJ
ap-4598	4	23	quantum	quantum	ADJ
ap-4598	4	24	evolution	evolution	NOUN
ap-4598	4	25	.	.	PUNCT
ap-4598	5	1	we	we	PRON
ap-4598	5	2	first	first	ADV
ap-4598	5	3	give	give	VERB
ap-4598	5	4	a	a	DET
ap-4598	5	5	precise	precise	ADJ
ap-4598	5	6	description	description	NOUN
ap-4598	5	7	of	of	ADP
ap-4598	5	8	the	the	DET
ap-4598	5	9	non	non	ADJ
ap-4598	5	10	unitary	unitary	ADJ
ap-4598	5	11	transformation	transformation	NOUN
ap-4598	5	12	and	and	CCONJ
ap-4598	5	13	the	the	DET
ap-4598	5	14	associated	associated	ADJ
ap-4598	5	15	evolution	evolution	NOUN
ap-4598	5	16	,	,	PUNCT
ap-4598	5	17	and	and	CCONJ
ap-4598	5	18	collecting	collect	VERB
ap-4598	5	19	the	the	DET
ap-4598	5	20	basic	basic	ADJ
ap-4598	5	21	results	result	NOUN
ap-4598	5	22	around	around	ADP
ap-4598	5	23	it	it	PRON
ap-4598	5	24	and	and	CCONJ
ap-4598	5	25	postulating	postulate	VERB
ap-4598	5	26	the	the	DET
ap-4598	5	27	norm	norm	NOUN
ap-4598	5	28	preserving	preserve	VERB
ap-4598	5	29	.	.	PUNCT
ap-4598	6	1	this	this	DET
ap-4598	6	2	cautionary	cautionary	ADJ
ap-4598	6	3	postulate	postulate	NOUN
ap-4598	6	4	imposing	impose	VERB
ap-4598	6	5	that	that	SCONJ
ap-4598	6	6	the	the	DET
ap-4598	6	7	time	time	NOUN
ap-4598	6	8	evolution	evolution	NOUN
ap-4598	6	9	of	of	ADP
ap-4598	6	10	a	a	DET
ap-4598	6	11	non	non	X
ap-4598	6	12	hermitian	hermitian	ADJ
ap-4598	6	13	quantum	quantum	ADJ
ap-4598	6	14	system	system	NOUN
ap-4598	6	15	preserves	preserve	VERB
ap-4598	6	16	the	the	DET
ap-4598	6	17	inner	inner	ADJ
ap-4598	6	18	products	product	NOUN
ap-4598	6	19	between	between	ADP
ap-4598	6	20	the	the	DET
ap-4598	6	21	associated	associated	ADJ
ap-4598	6	22	states	state	NOUN
ap-4598	6	23	must	must	AUX
ap-4598	6	24	not	not	PART
ap-4598	6	25	be	be	AUX
ap-4598	6	26	read	read	VERB
ap-4598	6	27	naively	naively	ADV
ap-4598	6	28	.	.	PUNCT
ap-4598	7	1	we	we	PRON
ap-4598	7	2	also	also	ADV
ap-4598	7	3	give	give	VERB
ap-4598	7	4	an	an	DET
ap-4598	7	5	example	example	NOUN
ap-4598	7	6	showing	show	VERB
ap-4598	7	7	that	that	SCONJ
ap-4598	7	8	the	the	DET
ap-4598	7	9	solutions	solution	NOUN
ap-4598	7	10	of	of	ADP
ap-4598	7	11	time	time	NOUN
ap-4598	7	12	-	-	PUNCT
ap-4598	7	13	dependent	dependent	ADJ
ap-4598	7	14	non	non	ADJ
ap-4598	7	15	hermitian	hermitian	PROPN
ap-4598	7	16	hamiltonian	hamiltonian	PROPN
ap-4598	7	17	systems	system	NOUN
ap-4598	7	18	given	give	VERB
ap-4598	7	19	by	by	ADP
ap-4598	7	20	a	a	DET
ap-4598	7	21	linear	linear	ADJ
ap-4598	7	22	combination	combination	NOUN
ap-4598	7	23	of	of	ADP
ap-4598	7	24	su(1	su(1	NOUN
ap-4598	7	25	,	,	PUNCT
ap-4598	7	26	1	1	NUM
ap-4598	7	27	)	)	PUNCT
ap-4598	7	28	and	and	CCONJ
ap-4598	7	29	su(2	su(2	NOUN
ap-4598	7	30	)	)	PUNCT
ap-4598	7	31	are	be	AUX
ap-4598	7	32	obtained	obtain	VERB
ap-4598	7	33	thanks	thank	NOUN
ap-4598	7	34	to	to	ADP
ap-4598	7	35	time	time	NOUN
ap-4598	7	36	-	-	PUNCT
ap-4598	7	37	dependent	dependent	ADJ
ap-4598	7	38	non	non	ADJ
ap-4598	7	39	-	-	ADJ
ap-4598	7	40	unitary	unitary	ADJ
ap-4598	7	41	transformation	transformation	NOUN
ap-4598	7	42	.	.	PUNCT
ap-4598	8	1	keywords	keyword	NOUN
ap-4598	8	2	:	:	PUNCT
ap-4598	8	3	non	non	ADJ
ap-4598	8	4	-	-	ADJ
ap-4598	8	5	hermitian	hermitian	ADJ
ap-4598	8	6	quantum	quantum	ADJ
ap-4598	8	7	mechanics	mechanic	NOUN
ap-4598	8	8	;	;	PUNCT
ap-4598	8	9	time	time	NOUN
ap-4598	8	10	-	-	PUNCT
ap-4598	8	11	dependent	dependent	ADJ
ap-4598	8	12	hamiltonian	hamiltonian	ADJ
ap-4598	8	13	systems	system	NOUN
ap-4598	8	14	;	;	PUNCT
ap-4598	8	15	non	non	ADJ
ap-4598	8	16	-	-	ADJ
ap-4598	8	17	unitary	unitary	ADJ
ap-4598	8	18	time	time	NOUN
ap-4598	8	19	-	-	PUNCT
ap-4598	8	20	dependent	dependent	ADJ
ap-4598	8	21	transformation	transformation	NOUN
ap-4598	8	22	.	.	PUNCT
ap-4598	9	1	1	1	X
ap-4598	9	2	.	.	X
ap-4598	9	3	introduction	introduction	NOUN
ap-4598	9	4	one	one	NUM
ap-4598	9	5	of	of	ADP
ap-4598	9	6	the	the	DET
ap-4598	9	7	postulates	postulate	NOUN
ap-4598	9	8	of	of	ADP
ap-4598	9	9	quantum	quantum	ADJ
ap-4598	9	10	mechanics	mechanic	NOUN
ap-4598	9	11	is	be	AUX
ap-4598	9	12	that	that	SCONJ
ap-4598	9	13	the	the	DET
ap-4598	9	14	hamiltonian	hamiltonian	NOUN
ap-4598	9	15	is	be	AUX
ap-4598	9	16	hermitian	hermitian	ADJ
ap-4598	9	17	,	,	PUNCT
ap-4598	9	18	as	as	SCONJ
ap-4598	9	19	this	this	DET
ap-4598	9	20	guarantees	guarantee	VERB
ap-4598	9	21	that	that	SCONJ
ap-4598	9	22	the	the	DET
ap-4598	9	23	eigenvalues	eigenvalue	NOUN
ap-4598	9	24	are	be	AUX
ap-4598	9	25	real	real	ADJ
ap-4598	9	26	.	.	PUNCT
ap-4598	10	1	this	this	DET
ap-4598	10	2	postulate	postulate	NOUN
ap-4598	10	3	result	result	NOUN
ap-4598	10	4	from	from	ADP
ap-4598	10	5	a	a	DET
ap-4598	10	6	set	set	NOUN
ap-4598	10	7	of	of	ADP
ap-4598	10	8	postulates	postulate	NOUN
ap-4598	10	9	representing	represent	VERB
ap-4598	10	10	the	the	DET
ap-4598	10	11	minimal	minimal	ADJ
ap-4598	10	12	assumptions	assumption	NOUN
ap-4598	10	13	needed	need	VERB
ap-4598	10	14	to	to	PART
ap-4598	10	15	develop	develop	VERB
ap-4598	10	16	the	the	DET
ap-4598	10	17	theory	theory	NOUN
ap-4598	10	18	of	of	ADP
ap-4598	10	19	quantum	quantum	ADJ
ap-4598	10	20	mechanics	mechanic	NOUN
ap-4598	10	21	.	.	PUNCT
ap-4598	11	1	one	one	NUM
ap-4598	11	2	of	of	ADP
ap-4598	11	3	these	these	DET
ap-4598	11	4	postulates	postulate	NOUN
ap-4598	11	5	concerns	concern	NOUN
ap-4598	11	6	the	the	DET
ap-4598	11	7	time	time	NOUN
ap-4598	11	8	evolution	evolution	NOUN
ap-4598	11	9	of	of	ADP
ap-4598	11	10	the	the	DET
ap-4598	11	11	state	state	NOUN
ap-4598	11	12	vector	vector	PROPN
ap-4598	11	13	|ψ(t	|ψ(t	PROPN
ap-4598	11	14	)	)	PUNCT
ap-4598	11	15	〉	〉	NOUN
ap-4598	11	16	governed	govern	VERB
ap-4598	11	17	by	by	ADP
ap-4598	11	18	the	the	DET
ap-4598	11	19	schrödinger	schrödinger	ADJ
ap-4598	11	20	equation	equation	NOUN
ap-4598	11	21	which	which	PRON
ap-4598	11	22	describe	describe	VERB
ap-4598	11	23	how	how	SCONJ
ap-4598	11	24	a	a	DET
ap-4598	11	25	state	state	NOUN
ap-4598	11	26	changes	change	VERB
ap-4598	11	27	with	with	ADP
ap-4598	11	28	time	time	NOUN
ap-4598	11	29	:	:	PUNCT
ap-4598	11	30	i~	i~	PROPN
ap-4598	11	31	∂	∂	NUM
ap-4598	11	32	∂t	∂t	PROPN
ap-4598	11	33	|ψ(t	|ψ(t	PROPN
ap-4598	11	34	)	)	PUNCT
ap-4598	11	35	〉	〉	PROPN
ap-4598	11	36	=	=	PUNCT
ap-4598	11	37	h|ψ(t	h|ψ(t	PROPN
ap-4598	11	38	)	)	PUNCT
ap-4598	11	39	〉	〉	PROPN
ap-4598	11	40	(	(	PUNCT
ap-4598	11	41	1	1	NUM
ap-4598	11	42	)	)	PUNCT
ap-4598	11	43	where	where	SCONJ
ap-4598	11	44	h	h	NOUN
ap-4598	11	45	is	be	AUX
ap-4598	11	46	the	the	DET
ap-4598	11	47	hamiltonian	hamiltonian	ADJ
ap-4598	11	48	operator	operator	NOUN
ap-4598	11	49	corresponding	correspond	VERB
ap-4598	11	50	to	to	ADP
ap-4598	11	51	the	the	DET
ap-4598	11	52	total	total	ADJ
ap-4598	11	53	energy	energy	NOUN
ap-4598	11	54	of	of	ADP
ap-4598	11	55	the	the	DET
ap-4598	11	56	system	system	NOUN
ap-4598	11	57	.	.	PUNCT
ap-4598	12	1	the	the	DET
ap-4598	12	2	time	time	NOUN
ap-4598	12	3	dependent	dependent	ADJ
ap-4598	12	4	schrödinger	schrödinger	ADJ
ap-4598	12	5	equation	equation	NOUN
ap-4598	12	6	is	be	AUX
ap-4598	12	7	the	the	DET
ap-4598	12	8	most	most	ADV
ap-4598	12	9	general	general	ADJ
ap-4598	12	10	way	way	NOUN
ap-4598	12	11	of	of	ADP
ap-4598	12	12	describing	describe	VERB
ap-4598	12	13	how	how	SCONJ
ap-4598	12	14	a	a	DET
ap-4598	12	15	state	state	NOUN
ap-4598	12	16	changes	change	VERB
ap-4598	12	17	with	with	ADP
ap-4598	12	18	time	time	NOUN
ap-4598	12	19	.	.	PUNCT
ap-4598	13	1	formally	formally	ADV
ap-4598	13	2	,	,	PUNCT
ap-4598	13	3	we	we	PRON
ap-4598	13	4	can	can	AUX
ap-4598	13	5	evolve	evolve	VERB
ap-4598	13	6	a	a	DET
ap-4598	13	7	wavefunction	wavefunction	NOUN
ap-4598	13	8	forward	forward	ADV
ap-4598	13	9	in	in	ADP
ap-4598	13	10	time	time	NOUN
ap-4598	13	11	by	by	ADP
ap-4598	13	12	applying	apply	VERB
ap-4598	13	13	the	the	DET
ap-4598	13	14	time	time	NOUN
ap-4598	13	15	-	-	PUNCT
ap-4598	13	16	evolution	evolution	NOUN
ap-4598	13	17	operator	operator	NOUN
ap-4598	13	18	.	.	PUNCT
ap-4598	14	1	for	for	ADP
ap-4598	14	2	a	a	DET
ap-4598	14	3	hamiltonian	hamiltonian	NOUN
ap-4598	14	4	which	which	PRON
ap-4598	14	5	is	be	AUX
ap-4598	14	6	time	time	NOUN
ap-4598	14	7	independent	independent	ADJ
ap-4598	14	8	,	,	PUNCT
ap-4598	14	9	we	we	PRON
ap-4598	14	10	have	have	VERB
ap-4598	14	11	|ψ(t	|ψ(t	NOUN
ap-4598	14	12	)	)	PUNCT
ap-4598	14	13	〉	〉	NOUN
ap-4598	14	14	=	=	SYM
ap-4598	14	15	u(t	u(t	NOUN
ap-4598	14	16	,	,	PUNCT
ap-4598	14	17	t0	t0	NOUN
ap-4598	14	18	)	)	PUNCT
ap-4598	14	19	|ψ(t0	|ψ(t0	NOUN
ap-4598	14	20	)	)	PUNCT
ap-4598	14	21	〉	〉	PROPN
ap-4598	14	22	,	,	PUNCT
ap-4598	14	23	where	where	SCONJ
ap-4598	14	24	u(t	u(t	NOUN
ap-4598	14	25	,	,	PUNCT
ap-4598	14	26	t0	t0	NOUN
ap-4598	14	27	)	)	PUNCT
ap-4598	15	1	=	=	PUNCT
ap-4598	15	2	exp(−ih(t	exp(−ih(t	PROPN
ap-4598	16	1	−	−	ADP
ap-4598	16	2	t0)/~	t0)/~	PROPN
ap-4598	16	3	)	)	PUNCT
ap-4598	16	4	denotes	denote	VERB
ap-4598	16	5	the	the	DET
ap-4598	16	6	timeevolution	timeevolution	NOUN
ap-4598	16	7	operator	operator	NOUN
ap-4598	16	8	.	.	PUNCT
ap-4598	17	1	the	the	DET
ap-4598	17	2	time	time	NOUN
ap-4598	17	3	-	-	PUNCT
ap-4598	17	4	evolution	evolution	NOUN
ap-4598	17	5	operator	operator	NOUN
ap-4598	17	6	is	be	AUX
ap-4598	17	7	an	an	DET
ap-4598	17	8	example	example	NOUN
ap-4598	17	9	of	of	ADP
ap-4598	17	10	a	a	DET
ap-4598	17	11	unitary	unitary	ADJ
ap-4598	17	12	operator	operator	NOUN
ap-4598	17	13	.	.	PUNCT
ap-4598	18	1	the	the	DET
ap-4598	18	2	latter	latter	ADJ
ap-4598	18	3	are	be	AUX
ap-4598	18	4	defined	define	VERB
ap-4598	18	5	as	as	ADP
ap-4598	18	6	transformations	transformation	NOUN
ap-4598	18	7	which	which	PRON
ap-4598	18	8	preserve	preserve	VERB
ap-4598	18	9	the	the	DET
ap-4598	18	10	scalar	scalar	ADJ
ap-4598	18	11	product	product	NOUN
ap-4598	18	12	,	,	PUNCT
ap-4598	18	13	〈	〈	PROPN
ap-4598	18	14	ψ(t)|ψ(t	ψ(t)|ψ(t	NOUN
ap-4598	18	15	)	)	PUNCT
ap-4598	18	16	〉	〉	NOUN
ap-4598	18	17	=	=	SYM
ap-4598	18	18	〈	〈	PROPN
ap-4598	18	19	ψ(t0)|ψ(t0	ψ(t0)|ψ(t0	NOUN
ap-4598	18	20	)	)	PUNCT
ap-4598	18	21	〉	〉	PROPN
ap-4598	18	22	,	,	PUNCT
ap-4598	18	23	i.e.	i.e.	X
ap-4598	18	24	,	,	PUNCT
ap-4598	18	25	the	the	DET
ap-4598	18	26	norm	norm	NOUN
ap-4598	18	27	〈	〈	PROPN
ap-4598	18	28	ψ(t)|ψ(t	ψ(t)|ψ(t	NOUN
ap-4598	18	29	)	)	PUNCT
ap-4598	18	30	〉	〉	PROPN
ap-4598	18	31	is	be	AUX
ap-4598	18	32	time	time	NOUN
ap-4598	18	33	independent	independent	ADJ
ap-4598	18	34	.	.	PUNCT
ap-4598	19	1	the	the	DET
ap-4598	19	2	study	study	NOUN
ap-4598	19	3	of	of	ADP
ap-4598	19	4	time	time	NOUN
ap-4598	19	5	-	-	PUNCT
ap-4598	19	6	dependent	dependent	ADJ
ap-4598	19	7	systems	system	NOUN
ap-4598	19	8	has	have	AUX
ap-4598	19	9	been	be	AUX
ap-4598	19	10	a	a	DET
ap-4598	19	11	growing	grow	VERB
ap-4598	19	12	field	field	NOUN
ap-4598	19	13	not	not	PART
ap-4598	19	14	only	only	ADV
ap-4598	19	15	for	for	ADP
ap-4598	19	16	its	its	PRON
ap-4598	19	17	fundamental	fundamental	ADJ
ap-4598	19	18	physical	physical	ADJ
ap-4598	19	19	perspective	perspective	NOUN
ap-4598	19	20	but	but	CCONJ
ap-4598	19	21	also	also	ADV
ap-4598	19	22	for	for	ADP
ap-4598	19	23	its	its	PRON
ap-4598	19	24	applicability	applicability	NOUN
ap-4598	19	25	,	,	PUNCT
ap-4598	19	26	such	such	ADJ
ap-4598	19	27	as	as	ADP
ap-4598	19	28	quantum	quantum	ADJ
ap-4598	19	29	optics	optic	NOUN
ap-4598	19	30	.	.	PUNCT
ap-4598	20	1	there	there	PRON
ap-4598	20	2	has	have	AUX
ap-4598	20	3	been	be	AUX
ap-4598	20	4	attracted	attract	VERB
ap-4598	20	5	attention	attention	NOUN
ap-4598	20	6	of	of	ADP
ap-4598	20	7	physicists	physicist	NOUN
ap-4598	20	8	in	in	ADP
ap-4598	20	9	the	the	DET
ap-4598	20	10	analytical	analytical	ADJ
ap-4598	20	11	solutions	solution	NOUN
ap-4598	20	12	of	of	ADP
ap-4598	20	13	the	the	DET
ap-4598	20	14	one	one	NUM
ap-4598	20	15	-	-	PUNCT
ap-4598	20	16	dimensional	dimensional	ADJ
ap-4598	20	17	schrodinger	schrodinger	NOUN
ap-4598	20	18	equation	equation	NOUN
ap-4598	20	19	with	with	ADP
ap-4598	20	20	a	a	DET
ap-4598	20	21	time	time	NOUN
ap-4598	20	22	-	-	PUNCT
ap-4598	20	23	dependent	dependent	ADJ
ap-4598	20	24	hamiltonian	hamiltonian	NOUN
ap-4598	20	25	.	.	PUNCT
ap-4598	21	1	the	the	DET
ap-4598	21	2	origin	origin	NOUN
ap-4598	21	3	of	of	ADP
ap-4598	21	4	this	this	DET
ap-4598	21	5	development	development	NOUN
ap-4598	21	6	was	be	AUX
ap-4598	21	7	no	no	ADV
ap-4598	21	8	doubt	doubt	ADV
ap-4598	21	9	the	the	DET
ap-4598	21	10	discovery	discovery	NOUN
ap-4598	21	11	of	of	ADP
ap-4598	21	12	an	an	DET
ap-4598	21	13	exact	exact	ADJ
ap-4598	21	14	invariant	invariant	ADJ
ap-4598	21	15	by	by	ADP
ap-4598	21	16	lewis	lewis	PROPN
ap-4598	22	1	[	[	X
ap-4598	22	2	1	1	NUM
ap-4598	22	3	,	,	PUNCT
ap-4598	22	4	2	2	NUM
ap-4598	22	5	]	]	PUNCT
ap-4598	22	6	and	and	CCONJ
ap-4598	22	7	lewis	lewis	PROPN
ap-4598	22	8	and	and	CCONJ
ap-4598	22	9	riesenfeld	riesenfeld	VERB
ap-4598	22	10	[	[	X
ap-4598	22	11	3	3	X
ap-4598	22	12	]	]	PUNCT
ap-4598	22	13	which	which	PRON
ap-4598	22	14	exploited	exploit	VERB
ap-4598	22	15	the	the	DET
ap-4598	22	16	invariant	invariant	ADJ
ap-4598	22	17	operators	operator	NOUN
ap-4598	22	18	to	to	PART
ap-4598	22	19	solve	solve	VERB
ap-4598	22	20	quantum	quantum	ADJ
ap-4598	22	21	-	-	ADJ
ap-4598	22	22	mechanical	mechanical	ADJ
ap-4598	22	23	problems	problem	NOUN
ap-4598	22	24	.	.	PUNCT
ap-4598	23	1	the	the	DET
ap-4598	23	2	invariants	invariant	NOUN
ap-4598	23	3	method	method	VERB
ap-4598	23	4	[	[	X
ap-4598	23	5	3	3	X
ap-4598	23	6	]	]	PUNCT
ap-4598	23	7	is	be	AUX
ap-4598	23	8	very	very	ADV
ap-4598	23	9	simple	simple	ADJ
ap-4598	23	10	due	due	ADP
ap-4598	23	11	to	to	ADP
ap-4598	23	12	the	the	DET
ap-4598	23	13	relationship	relationship	NOUN
ap-4598	23	14	between	between	ADP
ap-4598	23	15	the	the	DET
ap-4598	23	16	eigenstates	eigenstate	NOUN
ap-4598	23	17	of	of	ADP
ap-4598	23	18	the	the	DET
ap-4598	23	19	invariant	invariant	ADJ
ap-4598	23	20	operator	operator	NOUN
ap-4598	23	21	and	and	CCONJ
ap-4598	23	22	the	the	DET
ap-4598	23	23	solutions	solution	NOUN
ap-4598	23	24	to	to	ADP
ap-4598	23	25	the	the	DET
ap-4598	23	26	schrödinger	schrödinger	ADJ
ap-4598	23	27	equation	equation	NOUN
ap-4598	23	28	by	by	ADP
ap-4598	23	29	means	mean	NOUN
ap-4598	23	30	of	of	ADP
ap-4598	23	31	the	the	DET
ap-4598	23	32	phases	phase	NOUN
ap-4598	23	33	.	.	PUNCT
ap-4598	24	1	exploiting	exploit	VERB
ap-4598	24	2	the	the	DET
ap-4598	24	3	invariant	invariant	ADJ
ap-4598	24	4	operator	operator	NOUN
ap-4598	24	5	theory	theory	NOUN
ap-4598	24	6	several	several	ADJ
ap-4598	24	7	authors	author	NOUN
ap-4598	24	8	,	,	PUNCT
ap-4598	24	9	for	for	ADP
ap-4598	24	10	instance	instance	NOUN
ap-4598	24	11	[	[	X
ap-4598	24	12	4–14	4–14	PROPN
ap-4598	24	13	]	]	PUNCT
ap-4598	24	14	,	,	PUNCT
ap-4598	24	15	have	have	AUX
ap-4598	24	16	studied	study	VERB
ap-4598	24	17	extensively	extensively	ADV
ap-4598	24	18	in	in	ADP
ap-4598	24	19	the	the	DET
ap-4598	24	20	literature	literature	NOUN
ap-4598	24	21	two	two	NUM
ap-4598	24	22	models	model	NOUN
ap-4598	24	23	.	.	PUNCT
ap-4598	25	1	one	one	NUM
ap-4598	25	2	of	of	ADP
ap-4598	25	3	them	they	PRON
ap-4598	25	4	is	be	AUX
ap-4598	25	5	the	the	DET
ap-4598	25	6	time	time	NOUN
ap-4598	25	7	-	-	PUNCT
ap-4598	25	8	dependent	dependent	ADJ
ap-4598	25	9	generalized	generalize	VERB
ap-4598	25	10	harmonic	harmonic	ADJ
ap-4598	25	11	oscillator	oscillator	NOUN
ap-4598	25	12	with	with	ADP
ap-4598	25	13	the	the	DET
ap-4598	25	14	symmetry	symmetry	NOUN
ap-4598	25	15	of	of	ADP
ap-4598	25	16	the	the	DET
ap-4598	25	17	su(1	su(1	NOUN
ap-4598	25	18	,	,	PUNCT
ap-4598	25	19	1	1	X
ap-4598	25	20	)	)	PUNCT
ap-4598	25	21	dynamical	dynamical	ADJ
ap-4598	25	22	group	group	NOUN
ap-4598	25	23	,	,	PUNCT
ap-4598	25	24	the	the	DET
ap-4598	25	25	other	other	ADJ
ap-4598	25	26	is	be	AUX
ap-4598	25	27	the	the	DET
ap-4598	25	28	two	two	NUM
ap-4598	25	29	-	-	PUNCT
ap-4598	25	30	level	level	NOUN
ap-4598	25	31	system	system	NOUN
ap-4598	25	32	possessing	possess	VERB
ap-4598	25	33	an	an	DET
ap-4598	25	34	su(2	su(2	NOUN
ap-4598	25	35	)	)	PUNCT
ap-4598	25	36	symmetry	symmetry	NOUN
ap-4598	25	37	.	.	PUNCT
ap-4598	26	1	in	in	ADP
ap-4598	26	2	this	this	DET
ap-4598	26	3	respect	respect	NOUN
ap-4598	26	4	,	,	PUNCT
ap-4598	26	5	m.	m.	NOUN
ap-4598	26	6	maamache	maamache	NOUN
ap-4598	26	7	[	[	X
ap-4598	26	8	15	15	NUM
ap-4598	26	9	]	]	PUNCT
ap-4598	26	10	has	have	AUX
ap-4598	26	11	shown	show	VERB
ap-4598	26	12	that	that	SCONJ
ap-4598	26	13	,	,	PUNCT
ap-4598	26	14	with	with	ADP
ap-4598	26	15	the	the	DET
ap-4598	26	16	help	help	NOUN
ap-4598	26	17	of	of	ADP
ap-4598	26	18	the	the	DET
ap-4598	26	19	appropriate	appropriate	ADJ
ap-4598	26	20	time	time	NOUN
ap-4598	26	21	-	-	PUNCT
ap-4598	26	22	dependent	dependent	ADJ
ap-4598	26	23	unitary	unitary	ADJ
ap-4598	26	24	transformation	transformation	NOUN
ap-4598	26	25	instead	instead	ADV
ap-4598	26	26	of	of	ADP
ap-4598	26	27	the	the	DET
ap-4598	26	28	invariant	invariant	ADJ
ap-4598	26	29	operator	operator	NOUN
ap-4598	26	30	,	,	PUNCT
ap-4598	26	31	the	the	DET
ap-4598	26	32	hamiltonian	hamiltonian	NOUN
ap-4598	26	33	of	of	ADP
ap-4598	26	34	the	the	DET
ap-4598	26	35	su(1	su(1	NOUN
ap-4598	26	36	,	,	PUNCT
ap-4598	26	37	1	1	NUM
ap-4598	26	38	)	)	PUNCT
ap-4598	26	39	and	and	CCONJ
ap-4598	26	40	su(2	su(2	NOUN
ap-4598	26	41	)	)	PUNCT
ap-4598	26	42	algebra	algebra	NOUN
ap-4598	26	43	can	can	AUX
ap-4598	26	44	be	be	AUX
ap-4598	26	45	transformed	transform	VERB
ap-4598	26	46	into	into	ADP
ap-4598	26	47	the	the	DET
ap-4598	26	48	time	time	NOUN
ap-4598	26	49	-	-	PUNCT
ap-4598	26	50	independent	independent	ADJ
ap-4598	26	51	hamiltonian	hamiltonian	NOUN
ap-4598	26	52	multiplied	multiply	VERB
ap-4598	26	53	by	by	ADP
ap-4598	26	54	an	an	DET
ap-4598	26	55	overall	overall	ADJ
ap-4598	26	56	time	time	NOUN
ap-4598	26	57	-	-	PUNCT
ap-4598	26	58	dependent	dependent	ADJ
ap-4598	26	59	factor	factor	NOUN
ap-4598	26	60	.	.	PUNCT
ap-4598	27	1	the	the	DET
ap-4598	27	2	quantum	quantum	ADJ
ap-4598	27	3	mechanics	mechanic	NOUN
ap-4598	27	4	is	be	AUX
ap-4598	27	5	capable	capable	ADJ
ap-4598	27	6	of	of	ADP
ap-4598	27	7	working	work	VERB
ap-4598	27	8	for	for	ADP
ap-4598	27	9	some	some	DET
ap-4598	27	10	non	non	ADJ
ap-4598	27	11	-	-	ADJ
ap-4598	27	12	hermitian	hermitian	ADJ
ap-4598	27	13	quantum	quantum	NOUN
ap-4598	27	14	systems	system	NOUN
ap-4598	27	15	.	.	PUNCT
ap-4598	28	1	however	however	ADV
ap-4598	28	2	,	,	PUNCT
ap-4598	28	3	the	the	DET
ap-4598	28	4	hermiticity	hermiticity	NOUN
ap-4598	28	5	is	be	AUX
ap-4598	28	6	relaxed	relax	VERB
ap-4598	28	7	to	to	PART
ap-4598	28	8	be	be	AUX
ap-4598	28	9	pseudo	pseudo	NOUN
ap-4598	28	10	-	-	NOUN
ap-4598	28	11	hermiticity	hermiticity	NOUN
ap-4598	29	1	[	[	X
ap-4598	29	2	16	16	NUM
ap-4598	29	3	]	]	PUNCT
ap-4598	29	4	or	or	CCONJ
ap-4598	29	5	pt	pt	NOUN
ap-4598	29	6	symmetry	symmetry	NOUN
ap-4598	29	7	in	in	ADP
ap-4598	29	8	non	non	ADJ
ap-4598	29	9	-	-	ADJ
ap-4598	29	10	hermitian	hermitian	ADJ
ap-4598	29	11	quantum	quantum	ADJ
ap-4598	29	12	mechanics	mechanic	NOUN
ap-4598	29	13	,	,	PUNCT
ap-4598	29	14	where	where	SCONJ
ap-4598	29	15	is	be	AUX
ap-4598	29	16	a	a	DET
ap-4598	29	17	linear	linear	ADJ
ap-4598	29	18	hermitian	hermitian	NOUN
ap-4598	29	19	or	or	CCONJ
ap-4598	29	20	an	an	DET
ap-4598	29	21	anti	anti	ADJ
ap-4598	29	22	-	-	ADJ
ap-4598	29	23	linear	linear	ADJ
ap-4598	29	24	anti	anti	ADJ
ap-4598	29	25	-	-	ADJ
ap-4598	29	26	hermitian	hermitian	ADJ
ap-4598	29	27	operator	operator	NOUN
ap-4598	29	28	,	,	PUNCT
ap-4598	29	29	and	and	CCONJ
ap-4598	29	30	p	p	NOUN
ap-4598	29	31	and	and	CCONJ
ap-4598	29	32	t	t	PROPN
ap-4598	29	33	stand	stand	VERB
ap-4598	29	34	for	for	ADP
ap-4598	29	35	the	the	DET
ap-4598	29	36	parity	parity	NOUN
ap-4598	29	37	and	and	CCONJ
ap-4598	29	38	time	time	NOUN
ap-4598	29	39	-	-	PUNCT
ap-4598	29	40	reversal	reversal	NOUN
ap-4598	29	41	operators	operator	NOUN
ap-4598	29	42	,	,	PUNCT
ap-4598	29	43	respectively	respectively	ADV
ap-4598	29	44	.	.	PUNCT
ap-4598	30	1	the	the	DET
ap-4598	30	2	theories	theory	NOUN
ap-4598	30	3	of	of	ADP
ap-4598	30	4	non	non	ADJ
ap-4598	30	5	-	-	ADJ
ap-4598	30	6	hermitian	hermitian	ADJ
ap-4598	30	7	quantum	quantum	ADJ
ap-4598	30	8	mechanics	mechanic	NOUN
ap-4598	30	9	have	have	AUX
ap-4598	30	10	been	be	AUX
ap-4598	30	11	developed	develop	VERB
ap-4598	30	12	quickly	quickly	ADV
ap-4598	30	13	in	in	ADP
ap-4598	30	14	recent	recent	ADJ
ap-4598	30	15	decades	decade	NOUN
ap-4598	30	16	,	,	PUNCT
ap-4598	30	17	the	the	DET
ap-4598	30	18	reader	reader	NOUN
ap-4598	30	19	can	can	AUX
ap-4598	30	20	consulte	consulte	PROPN
ap-4598	30	21	the	the	DET
ap-4598	30	22	articles	article	NOUN
ap-4598	30	23	[	[	X
ap-4598	30	24	17	17	NUM
ap-4598	30	25	,	,	PUNCT
ap-4598	30	26	18	18	NUM
ap-4598	30	27	]	]	PUNCT
ap-4598	30	28	and	and	CCONJ
ap-4598	30	29	references	reference	NOUN
ap-4598	30	30	cited	cite	VERB
ap-4598	30	31	therein	therein	ADV
ap-4598	30	32	.	.	PUNCT
ap-4598	31	1	systems	system	NOUN
ap-4598	31	2	with	with	ADP
ap-4598	31	3	time	time	NOUN
ap-4598	31	4	-	-	PUNCT
ap-4598	31	5	dependent	dependent	ADJ
ap-4598	31	6	non	non	ADJ
ap-4598	31	7	-	-	ADJ
ap-4598	31	8	hermitian	hermitian	ADJ
ap-4598	31	9	hamiltonian	hamiltonian	ADJ
ap-4598	31	10	operators	operator	NOUN
ap-4598	31	11	have	have	AUX
ap-4598	31	12	been	be	AUX
ap-4598	31	13	studied	study	VERB
ap-4598	31	14	in	in	ADP
ap-4598	31	15	[	[	X
ap-4598	31	16	19–35	19–35	NUM
ap-4598	31	17	]	]	X
ap-4598	31	18	.	.	PUNCT
ap-4598	32	1	the	the	DET
ap-4598	32	2	most	most	ADV
ap-4598	32	3	recent	recent	ADJ
ap-4598	32	4	monograph	monograph	NOUN
ap-4598	32	5	[	[	X
ap-4598	32	6	36	36	NUM
ap-4598	32	7	]	]	PUNCT
ap-4598	32	8	can	can	AUX
ap-4598	32	9	be	be	AUX
ap-4598	32	10	consulted	consult	VERB
ap-4598	32	11	for	for	ADP
ap-4598	32	12	introduction	introduction	NOUN
ap-4598	32	13	of	of	ADP
ap-4598	32	14	the	the	DET
ap-4598	32	15	non	non	ADJ
ap-4598	32	16	-	-	ADJ
ap-4598	32	17	stationary	stationary	ADJ
ap-4598	32	18	theory	theory	NOUN
ap-4598	32	19	.	.	PUNCT
ap-4598	33	1	424	424	NUM
ap-4598	33	2	http://dx.doi.org/10.14311/ap.2017.57.0424	http://dx.doi.org/10.14311/ap.2017.57.0424	NOUN
ap-4598	33	3	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4598	33	4	vol	vol	NOUN
ap-4598	33	5	.	.	PUNCT
ap-4598	34	1	57	57	NUM
ap-4598	34	2	no	no	NOUN
ap-4598	34	3	.	.	PUNCT
ap-4598	35	1	6/2017	6/2017	NUM
ap-4598	35	2	non	non	ADJ
ap-4598	35	3	-	-	ADJ
ap-4598	35	4	unitary	unitary	ADJ
ap-4598	35	5	transformation	transformation	NOUN
ap-4598	35	6	of	of	ADP
ap-4598	35	7	non	non	ADJ
ap-4598	35	8	-	-	ADJ
ap-4598	35	9	hermitian	hermitian	ADJ
ap-4598	35	10	systems	system	NOUN
ap-4598	35	11	in	in	ADP
ap-4598	35	12	this	this	DET
ap-4598	35	13	work	work	NOUN
ap-4598	35	14	,	,	PUNCT
ap-4598	35	15	we	we	PRON
ap-4598	35	16	use	use	VERB
ap-4598	35	17	the	the	DET
ap-4598	35	18	same	same	ADJ
ap-4598	35	19	strategy	strategy	NOUN
ap-4598	35	20	as	as	SCONJ
ap-4598	35	21	done	do	VERB
ap-4598	35	22	in	in	ADP
ap-4598	35	23	[	[	X
ap-4598	35	24	15	15	NUM
ap-4598	35	25	]	]	PUNCT
ap-4598	35	26	to	to	PART
ap-4598	35	27	solve	solve	VERB
ap-4598	35	28	the	the	DET
ap-4598	35	29	schrödinger	schrödinger	ADJ
ap-4598	35	30	equation	equation	NOUN
ap-4598	35	31	for	for	ADP
ap-4598	35	32	the	the	DET
ap-4598	35	33	time	time	NOUN
ap-4598	35	34	-	-	PUNCT
ap-4598	35	35	dependent	dependent	ADJ
ap-4598	35	36	hermitian	hermitian	ADJ
ap-4598	35	37	hamiltonian	hamiltonian	ADJ
ap-4598	35	38	systems	system	NOUN
ap-4598	35	39	.	.	PUNCT
ap-4598	36	1	we	we	PRON
ap-4598	36	2	introduce	introduce	VERB
ap-4598	36	3	the	the	DET
ap-4598	36	4	non	non	ADJ
ap-4598	36	5	-	-	ADJ
ap-4598	36	6	unitary	unitary	ADJ
ap-4598	36	7	transformation	transformation	NOUN
ap-4598	36	8	v	v	NOUN
ap-4598	36	9	(	(	PUNCT
ap-4598	36	10	t	t	NOUN
ap-4598	36	11	)	)	PUNCT
ap-4598	36	12	mapping	mapping	NOUN
ap-4598	36	13	the	the	DET
ap-4598	36	14	solution	solution	NOUN
ap-4598	36	15	|ψ(t	|ψ(t	PROPN
ap-4598	36	16	)	)	PUNCT
ap-4598	36	17	〉	〉	NOUN
ap-4598	36	18	of	of	ADP
ap-4598	36	19	the	the	DET
ap-4598	36	20	time	time	NOUN
ap-4598	36	21	-	-	PUNCT
ap-4598	36	22	dependent	dependent	ADJ
ap-4598	36	23	schrödinger	schrödinger	ADJ
ap-4598	36	24	equation	equation	NOUN
ap-4598	36	25	involving	involve	VERB
ap-4598	36	26	a	a	DET
ap-4598	36	27	non	non	ADJ
ap-4598	36	28	-	-	ADJ
ap-4598	36	29	hermitian	hermitian	ADJ
ap-4598	36	30	hamiltonian	hamiltonian	NOUN
ap-4598	36	31	h(t	h(t	PROPN
ap-4598	36	32	)	)	PUNCT
ap-4598	36	33	to	to	ADP
ap-4598	36	34	a	a	DET
ap-4598	36	35	solution	solution	NOUN
ap-4598	36	36	of	of	ADP
ap-4598	36	37	the	the	DET
ap-4598	36	38	|φ(t	|φ(t	PROPN
ap-4598	36	39	)	)	PUNCT
ap-4598	36	40	〉	〉	PROPN
ap-4598	36	41	involving	involve	VERB
ap-4598	36	42	a	a	DET
ap-4598	36	43	non	non	X
ap-4598	36	44	hermitian	hermitian	ADJ
ap-4598	36	45	hamiltonian	hamiltonian	PROPN
ap-4598	36	46	h(t	h(t	PROPN
ap-4598	36	47	)	)	PUNCT
ap-4598	36	48	required	require	VERB
ap-4598	36	49	as	as	ADP
ap-4598	36	50	a	a	DET
ap-4598	36	51	product	product	NOUN
ap-4598	36	52	of	of	ADP
ap-4598	36	53	a	a	DET
ap-4598	36	54	simple	simple	ADJ
ap-4598	36	55	time	time	NOUN
ap-4598	36	56	-	-	PUNCT
ap-4598	36	57	independent	independent	ADJ
ap-4598	36	58	hamiltonian	hamiltonian	ADJ
ap-4598	36	59	h0	h0	NOUN
ap-4598	36	60	and	and	CCONJ
ap-4598	36	61	a	a	DET
ap-4598	36	62	time	time	NOUN
ap-4598	36	63	-	-	PUNCT
ap-4598	36	64	dependent	dependent	ADJ
ap-4598	36	65	factor	factor	NOUN
ap-4598	36	66	g(t	g(t	PROPN
ap-4598	36	67	)	)	PUNCT
ap-4598	36	68	.	.	PUNCT
ap-4598	37	1	after	after	ADP
ap-4598	37	2	performing	perform	VERB
ap-4598	37	3	transformation	transformation	NOUN
ap-4598	37	4	of	of	ADP
ap-4598	37	5	schrödinger	schrödinger	ADJ
ap-4598	37	6	equation	equation	NOUN
ap-4598	37	7	,	,	PUNCT
ap-4598	37	8	the	the	DET
ap-4598	37	9	problem	problem	NOUN
ap-4598	37	10	becomes	become	VERB
ap-4598	37	11	exactly	exactly	ADV
ap-4598	37	12	solvable	solvable	ADJ
ap-4598	37	13	but	but	CCONJ
ap-4598	37	14	the	the	DET
ap-4598	37	15	evolution	evolution	NOUN
ap-4598	37	16	is	be	AUX
ap-4598	37	17	not	not	PART
ap-4598	37	18	unitary	unitary	ADJ
ap-4598	37	19	and	and	CCONJ
ap-4598	37	20	consequently	consequently	ADV
ap-4598	37	21	does	do	AUX
ap-4598	37	22	n’t	not	PART
ap-4598	37	23	preserve	preserve	VERB
ap-4598	37	24	the	the	DET
ap-4598	37	25	scalar	scalar	ADJ
ap-4598	37	26	product	product	NOUN
ap-4598	37	27	.	.	PUNCT
ap-4598	38	1	in	in	ADP
ap-4598	38	2	order	order	NOUN
ap-4598	38	3	to	to	PART
ap-4598	38	4	obtain	obtain	VERB
ap-4598	38	5	a	a	DET
ap-4598	38	6	conserved	conserved	ADJ
ap-4598	38	7	norm	norm	NOUN
ap-4598	38	8	we	we	PRON
ap-4598	38	9	postulate	postulate	VERB
ap-4598	38	10	that	that	SCONJ
ap-4598	38	11	the	the	DET
ap-4598	38	12	time	time	NOUN
ap-4598	38	13	evolution	evolution	NOUN
ap-4598	38	14	of	of	ADP
ap-4598	38	15	a	a	DET
ap-4598	38	16	quantum	quantum	ADJ
ap-4598	38	17	system	system	NOUN
ap-4598	38	18	preserves	preserve	NOUN
ap-4598	38	19	,	,	PUNCT
ap-4598	38	20	not	not	PART
ap-4598	38	21	just	just	ADV
ap-4598	38	22	the	the	DET
ap-4598	38	23	normalization	normalization	NOUN
ap-4598	38	24	of	of	ADP
ap-4598	38	25	the	the	DET
ap-4598	38	26	quantum	quantum	ADJ
ap-4598	38	27	states	state	NOUN
ap-4598	38	28	,	,	PUNCT
ap-4598	38	29	but	but	CCONJ
ap-4598	38	30	also	also	ADV
ap-4598	38	31	the	the	DET
ap-4598	38	32	inner	inner	ADJ
ap-4598	38	33	products	product	NOUN
ap-4598	38	34	between	between	ADP
ap-4598	38	35	the	the	DET
ap-4598	38	36	associated	associated	ADJ
ap-4598	38	37	states	state	NOUN
ap-4598	38	38	〈	〈	PROPN
ap-4598	38	39	φ(t)|φ(t	φ(t)|φ(t	NOUN
ap-4598	38	40	)	)	PUNCT
ap-4598	38	41	〉	〉	NOUN
ap-4598	38	42	=	=	SYM
ap-4598	38	43	〈	〈	NOUN
ap-4598	38	44	φ(0)|φ(0	φ(0)|φ(0	NOUN
ap-4598	38	45	)	)	PUNCT
ap-4598	38	46	〉	〉	NOUN
ap-4598	38	47	.	.	PUNCT
ap-4598	39	1	this	this	PRON
ap-4598	39	2	is	be	AUX
ap-4598	39	3	the	the	DET
ap-4598	39	4	main	main	ADJ
ap-4598	39	5	result	result	NOUN
ap-4598	39	6	of	of	ADP
ap-4598	39	7	this	this	DET
ap-4598	39	8	paper	paper	NOUN
ap-4598	39	9	.	.	PUNCT
ap-4598	40	1	as	as	ADP
ap-4598	40	2	an	an	DET
ap-4598	40	3	illustration	illustration	NOUN
ap-4598	40	4	of	of	ADP
ap-4598	40	5	our	our	PRON
ap-4598	40	6	method	method	NOUN
ap-4598	40	7	,	,	PUNCT
ap-4598	40	8	we	we	PRON
ap-4598	40	9	present	present	VERB
ap-4598	40	10	a	a	DET
ap-4598	40	11	specific	specific	ADJ
ap-4598	40	12	quantum	quantum	NOUN
ap-4598	40	13	system	system	NOUN
ap-4598	40	14	given	give	VERB
ap-4598	40	15	by	by	ADP
ap-4598	40	16	a	a	DET
ap-4598	40	17	linear	linear	ADJ
ap-4598	40	18	combination	combination	NOUN
ap-4598	40	19	of	of	ADP
ap-4598	40	20	su(1	su(1	NOUN
ap-4598	40	21	,	,	PUNCT
ap-4598	40	22	1	1	NUM
ap-4598	40	23	)	)	PUNCT
ap-4598	40	24	and	and	CCONJ
ap-4598	40	25	su(2	su(2	NOUN
ap-4598	40	26	)	)	PUNCT
ap-4598	40	27	generators	generator	NOUN
ap-4598	40	28	.	.	PUNCT
ap-4598	41	1	for	for	ADP
ap-4598	41	2	this	this	PRON
ap-4598	41	3	we	we	PRON
ap-4598	41	4	introduce	introduce	VERB
ap-4598	41	5	,	,	PUNCT
ap-4598	41	6	in	in	ADP
ap-4598	41	7	§	§	PROPN
ap-4598	41	8	2	2	NUM
ap-4598	41	9	,	,	PUNCT
ap-4598	41	10	a	a	DET
ap-4598	41	11	formalism	formalism	NOUN
ap-4598	41	12	based	base	VERB
ap-4598	41	13	on	on	ADP
ap-4598	41	14	the	the	DET
ap-4598	41	15	time	time	NOUN
ap-4598	41	16	-	-	PUNCT
ap-4598	41	17	dependent	dependent	ADJ
ap-4598	41	18	non	non	ADJ
ap-4598	41	19	-	-	ADJ
ap-4598	41	20	unitary	unitary	ADJ
ap-4598	41	21	transformations	transformation	NOUN
ap-4598	41	22	and	and	CCONJ
ap-4598	41	23	we	we	PRON
ap-4598	41	24	show	show	VERB
ap-4598	41	25	that	that	SCONJ
ap-4598	41	26	the	the	DET
ap-4598	41	27	time	time	NOUN
ap-4598	41	28	-	-	PUNCT
ap-4598	41	29	dependent	dependent	ADJ
ap-4598	41	30	non	non	ADJ
ap-4598	41	31	-	-	ADJ
ap-4598	41	32	hermitian	hermitian	ADJ
ap-4598	41	33	hamiltonian	hamiltonian	NOUN
ap-4598	41	34	is	be	AUX
ap-4598	41	35	related	relate	VERB
ap-4598	41	36	to	to	ADP
ap-4598	41	37	an	an	DET
ap-4598	41	38	associated	associated	ADJ
ap-4598	41	39	time	time	NOUN
ap-4598	41	40	-	-	PUNCT
ap-4598	41	41	independent	independent	ADJ
ap-4598	41	42	hamiltonian	hamiltonian	NOUN
ap-4598	41	43	multiplied	multiply	VERB
ap-4598	41	44	by	by	ADP
ap-4598	41	45	an	an	DET
ap-4598	41	46	overall	overall	ADJ
ap-4598	41	47	time	time	NOUN
ap-4598	41	48	-	-	PUNCT
ap-4598	41	49	dependent	dependent	ADJ
ap-4598	41	50	factor	factor	NOUN
ap-4598	41	51	.	.	PUNCT
ap-4598	42	1	in	in	ADP
ap-4598	42	2	§	§	PROPN
ap-4598	42	3	3	3	NUM
ap-4598	42	4	,	,	PUNCT
ap-4598	42	5	we	we	PRON
ap-4598	42	6	illustrate	illustrate	VERB
ap-4598	42	7	our	our	PRON
ap-4598	42	8	formalism	formalism	NOUN
ap-4598	42	9	introduced	introduce	VERB
ap-4598	42	10	in	in	ADP
ap-4598	42	11	the	the	DET
ap-4598	42	12	previous	previous	ADJ
ap-4598	42	13	section	section	NOUN
ap-4598	42	14	by	by	ADP
ap-4598	42	15	treating	treat	VERB
ap-4598	42	16	a	a	DET
ap-4598	42	17	non	non	ADJ
ap-4598	42	18	-	-	ADJ
ap-4598	42	19	hermitian	hermitian	ADJ
ap-4598	42	20	su(1	su(1	NOUN
ap-4598	42	21	,	,	PUNCT
ap-4598	42	22	1	1	NUM
ap-4598	42	23	)	)	PUNCT
ap-4598	42	24	and	and	CCONJ
ap-4598	42	25	su(2	su(2	NOUN
ap-4598	42	26	)	)	PUNCT
ap-4598	42	27	time	time	NOUN
ap-4598	42	28	-	-	PUNCT
ap-4598	42	29	dependent	dependent	ADJ
ap-4598	42	30	quantum	quantum	NOUN
ap-4598	42	31	problem	problem	NOUN
ap-4598	42	32	and	and	CCONJ
ap-4598	42	33	finding	find	VERB
ap-4598	42	34	the	the	DET
ap-4598	42	35	exact	exact	ADJ
ap-4598	42	36	solution	solution	NOUN
ap-4598	42	37	of	of	ADP
ap-4598	42	38	the	the	DET
ap-4598	42	39	schrödinger	schrödinger	ADJ
ap-4598	42	40	equation	equation	NOUN
ap-4598	42	41	without	without	ADP
ap-4598	42	42	making	make	VERB
ap-4598	42	43	recourse	recourse	NOUN
ap-4598	42	44	to	to	ADP
ap-4598	42	45	the	the	DET
ap-4598	42	46	pseudoinvariant	pseudoinvariant	ADJ
ap-4598	42	47	operator	operator	NOUN
ap-4598	42	48	theory	theory	NOUN
ap-4598	42	49	as	as	SCONJ
ap-4598	42	50	been	be	AUX
ap-4598	42	51	done	do	VERB
ap-4598	42	52	in	in	ADP
ap-4598	42	53	[	[	X
ap-4598	42	54	34	34	NUM
ap-4598	42	55	,	,	PUNCT
ap-4598	42	56	35	35	NUM
ap-4598	42	57	]	]	PUNCT
ap-4598	42	58	or	or	CCONJ
ap-4598	42	59	to	to	ADP
ap-4598	42	60	the	the	DET
ap-4598	42	61	technique	technique	NOUN
ap-4598	42	62	presented	present	VERB
ap-4598	42	63	in	in	ADP
ap-4598	42	64	[	[	X
ap-4598	42	65	28	28	NUM
ap-4598	42	66	,	,	PUNCT
ap-4598	42	67	29	29	NUM
ap-4598	42	68	]	]	PUNCT
ap-4598	42	69	.	.	PUNCT
ap-4598	43	1	finally	finally	ADV
ap-4598	43	2	,	,	PUNCT
ap-4598	43	3	§	§	PROPN
ap-4598	43	4	4	4	NUM
ap-4598	43	5	concludes	conclude	VERB
ap-4598	43	6	our	our	PRON
ap-4598	43	7	work	work	NOUN
ap-4598	43	8	.	.	PUNCT
ap-4598	44	1	our	our	PRON
ap-4598	44	2	analysis	analysis	NOUN
ap-4598	44	3	has	have	AUX
ap-4598	44	4	shown	show	VERB
ap-4598	44	5	that	that	SCONJ
ap-4598	44	6	the	the	DET
ap-4598	44	7	key	key	NOUN
ap-4598	44	8	of	of	ADP
ap-4598	44	9	solving	solve	VERB
ap-4598	44	10	the	the	DET
ap-4598	44	11	time	time	NOUN
ap-4598	44	12	-	-	PUNCT
ap-4598	44	13	dependent	dependent	ADJ
ap-4598	44	14	schrödinger	schrödinger	ADJ
ap-4598	44	15	equation	equation	NOUN
ap-4598	44	16	is	be	AUX
ap-4598	44	17	to	to	PART
ap-4598	44	18	find	find	VERB
ap-4598	44	19	a	a	DET
ap-4598	44	20	way	way	NOUN
ap-4598	44	21	to	to	PART
ap-4598	44	22	transform	transform	VERB
ap-4598	44	23	the	the	DET
ap-4598	44	24	problem	problem	NOUN
ap-4598	44	25	to	to	ADP
ap-4598	44	26	a	a	DET
ap-4598	44	27	standard	standard	ADJ
ap-4598	44	28	integrable	integrable	ADJ
ap-4598	44	29	form	form	NOUN
ap-4598	44	30	.	.	PUNCT
ap-4598	45	1	2	2	X
ap-4598	45	2	.	.	X
ap-4598	45	3	formalism	formalism	NOUN
ap-4598	45	4	consider	consider	VERB
ap-4598	45	5	the	the	DET
ap-4598	45	6	time	time	NOUN
ap-4598	45	7	-	-	PUNCT
ap-4598	45	8	dependent	dependent	ADJ
ap-4598	45	9	schrödinger	schrödinger	ADJ
ap-4598	45	10	equation	equation	NOUN
ap-4598	45	11	i	i	PRON
ap-4598	45	12	∂	∂	NUM
ap-4598	45	13	∂t	∂t	PROPN
ap-4598	45	14	|ψ(t	|ψ(t	PROPN
ap-4598	45	15	)	)	PUNCT
ap-4598	45	16	〉	〉	NOUN
ap-4598	45	17	=	=	SYM
ap-4598	45	18	h(t)|ψ(t	h(t)|ψ(t	PROPN
ap-4598	45	19	)	)	PUNCT
ap-4598	45	20	〉	〉	PROPN
ap-4598	45	21	,	,	PUNCT
ap-4598	45	22	(	(	PUNCT
ap-4598	45	23	2	2	X
ap-4598	45	24	)	)	PUNCT
ap-4598	45	25	with	with	ADP
ap-4598	45	26	~	~	PUNCT
ap-4598	45	27	=	=	SYM
ap-4598	45	28	1	1	NUM
ap-4598	45	29	and	and	CCONJ
ap-4598	45	30	h(t	h(t	NUM
ap-4598	45	31	)	)	PUNCT
ap-4598	45	32	is	be	AUX
ap-4598	45	33	the	the	DET
ap-4598	45	34	time	time	NOUN
ap-4598	45	35	-	-	PUNCT
ap-4598	45	36	dependent	dependent	ADJ
ap-4598	45	37	non	non	ADJ
ap-4598	45	38	-	-	ADJ
ap-4598	45	39	hermitian	hermitian	ADJ
ap-4598	45	40	hamiltonian	hamiltonian	ADJ
ap-4598	45	41	operator	operator	NOUN
ap-4598	45	42	.	.	PUNCT
ap-4598	46	1	coming	come	VERB
ap-4598	46	2	back	back	ADV
ap-4598	46	3	to	to	ADP
ap-4598	46	4	the	the	DET
ap-4598	46	5	evolution	evolution	NOUN
ap-4598	46	6	equation	equation	NOUN
ap-4598	46	7	(	(	PUNCT
ap-4598	46	8	2	2	NUM
ap-4598	46	9	)	)	PUNCT
ap-4598	46	10	,	,	PUNCT
ap-4598	46	11	we	we	PRON
ap-4598	46	12	perform	perform	VERB
ap-4598	46	13	a	a	DET
ap-4598	46	14	non	non	ADJ
ap-4598	46	15	-	-	ADJ
ap-4598	46	16	unitary	unitary	ADJ
ap-4598	46	17	transformation	transformation	NOUN
ap-4598	46	18	to	to	ADP
ap-4598	46	19	the	the	DET
ap-4598	46	20	wavefunction	wavefunction	NOUN
ap-4598	46	21	as	as	SCONJ
ap-4598	46	22	follows	follow	VERB
ap-4598	46	23	:	:	PUNCT
ap-4598	46	24	|φ(t	|φ(t	ADJ
ap-4598	46	25	)	)	PUNCT
ap-4598	46	26	〉	〉	PROPN
ap-4598	46	27	=	=	SYM
ap-4598	46	28	v	v	NOUN
ap-4598	46	29	(	(	PUNCT
ap-4598	46	30	t)|ψ(t	t)|ψ(t	NOUN
ap-4598	46	31	)	)	PUNCT
ap-4598	46	32	〉	〉	NOUN
ap-4598	46	33	.	.	PUNCT
ap-4598	47	1	(	(	PUNCT
ap-4598	47	2	3	3	X
ap-4598	47	3	)	)	PUNCT
ap-4598	47	4	this	this	PRON
ap-4598	47	5	is	be	AUX
ap-4598	47	6	essentially	essentially	ADV
ap-4598	47	7	a	a	DET
ap-4598	47	8	change	change	NOUN
ap-4598	47	9	of	of	ADP
ap-4598	47	10	representation	representation	NOUN
ap-4598	47	11	from	from	ADP
ap-4598	47	12	|ψ(t	|ψ(t	PROPN
ap-4598	47	13	)	)	PUNCT
ap-4598	47	14	〉	〉	NOUN
ap-4598	47	15	to	to	ADP
ap-4598	47	16	|φ(t	|φ(t	PROPN
ap-4598	47	17	)	)	PUNCT
ap-4598	47	18	〉	〉	NOUN
ap-4598	47	19	so	so	SCONJ
ap-4598	47	20	that	that	SCONJ
ap-4598	47	21	the	the	DET
ap-4598	47	22	evolution	evolution	NOUN
ap-4598	47	23	of	of	ADP
ap-4598	47	24	the	the	DET
ap-4598	47	25	quantal	quantal	ADJ
ap-4598	47	26	system	system	NOUN
ap-4598	47	27	in	in	ADP
ap-4598	47	28	the	the	DET
ap-4598	47	29	new	new	ADJ
ap-4598	47	30	representation	representation	NOUN
ap-4598	47	31	is	be	AUX
ap-4598	47	32	governed	govern	VERB
ap-4598	47	33	by	by	ADP
ap-4598	47	34	the	the	DET
ap-4598	47	35	following	follow	VERB
ap-4598	47	36	evolution	evolution	NOUN
ap-4598	47	37	equation	equation	NOUN
ap-4598	48	1	i	i	PRON
ap-4598	48	2	∂	∂	NUM
ap-4598	48	3	∂t	∂t	PROPN
ap-4598	48	4	|φ(t	|φ(t	PROPN
ap-4598	48	5	)	)	PUNCT
ap-4598	48	6	〉	〉	PROPN
ap-4598	48	7	=	=	SYM
ap-4598	48	8	h(t)|φ(t	h(t)|φ(t	NOUN
ap-4598	48	9	)	)	PUNCT
ap-4598	48	10	〉	〉	PROPN
ap-4598	48	11	.	.	PUNCT
ap-4598	49	1	(	(	PUNCT
ap-4598	49	2	4	4	X
ap-4598	49	3	)	)	PUNCT
ap-4598	49	4	the	the	DET
ap-4598	49	5	operator	operator	NOUN
ap-4598	49	6	h(t	h(t	NOUN
ap-4598	49	7	)	)	PUNCT
ap-4598	49	8	changes	change	NOUN
ap-4598	49	9	into	into	ADP
ap-4598	49	10	h(t	h(t	PROPN
ap-4598	49	11	)	)	PUNCT
ap-4598	49	12	h(t	h(t	PROPN
ap-4598	49	13	)	)	PUNCT
ap-4598	50	1	=	=	SYM
ap-4598	50	2	v	v	X
ap-4598	50	3	(	(	PUNCT
ap-4598	50	4	t)h(t)v	t)h(t)v	PROPN
ap-4598	50	5	−1(t	−1(t	PROPN
ap-4598	50	6	)	)	PUNCT
ap-4598	51	1	+	+	CCONJ
ap-4598	51	2	i	i	PRON
ap-4598	51	3	∂v	∂v	PROPN
ap-4598	51	4	(	(	PUNCT
ap-4598	51	5	t	t	PROPN
ap-4598	51	6	)	)	PUNCT
ap-4598	51	7	∂t	∂t	PROPN
ap-4598	51	8	v	v	ADP
ap-4598	51	9	−1(t	−1(t	PROPN
ap-4598	51	10	)	)	PUNCT
ap-4598	51	11	.	.	PUNCT
ap-4598	52	1	(	(	PUNCT
ap-4598	52	2	5	5	X
ap-4598	52	3	)	)	PUNCT
ap-4598	52	4	the	the	DET
ap-4598	52	5	evolution	evolution	NOUN
ap-4598	52	6	equation	equation	NOUN
ap-4598	52	7	(	(	PUNCT
ap-4598	52	8	4	4	X
ap-4598	52	9	)	)	PUNCT
ap-4598	52	10	shares	share	NOUN
ap-4598	52	11	the	the	DET
ap-4598	52	12	same	same	ADJ
ap-4598	52	13	form	form	NOUN
ap-4598	52	14	as	as	ADP
ap-4598	52	15	the	the	DET
ap-4598	52	16	original	original	ADJ
ap-4598	52	17	evolution	evolution	NOUN
ap-4598	52	18	equation	equation	NOUN
ap-4598	52	19	in	in	ADP
ap-4598	52	20	(	(	PUNCT
ap-4598	52	21	2	2	NUM
ap-4598	52	22	)	)	PUNCT
ap-4598	52	23	.	.	PUNCT
ap-4598	53	1	however	however	ADV
ap-4598	53	2	this	this	DET
ap-4598	53	3	equation	equation	NOUN
ap-4598	53	4	can	can	AUX
ap-4598	53	5	readily	readily	ADV
ap-4598	53	6	be	be	AUX
ap-4598	53	7	solved	solve	VERB
ap-4598	53	8	if	if	SCONJ
ap-4598	53	9	we	we	PRON
ap-4598	53	10	make	make	VERB
ap-4598	53	11	a	a	DET
ap-4598	53	12	proper	proper	ADJ
ap-4598	53	13	choice	choice	NOUN
ap-4598	53	14	for	for	ADP
ap-4598	53	15	the	the	DET
ap-4598	53	16	non	non	ADJ
ap-4598	53	17	-	-	ADJ
ap-4598	53	18	unitary	unitary	ADJ
ap-4598	53	19	operator	operator	NOUN
ap-4598	53	20	v	v	NOUN
ap-4598	53	21	(	(	PUNCT
ap-4598	53	22	t	t	PROPN
ap-4598	53	23	)	)	PUNCT
ap-4598	53	24	.	.	PUNCT
ap-4598	54	1	in	in	ADP
ap-4598	54	2	this	this	DET
ap-4598	54	3	way	way	NOUN
ap-4598	54	4	,	,	PUNCT
ap-4598	54	5	we	we	PRON
ap-4598	54	6	are	be	AUX
ap-4598	54	7	seeking	seek	VERB
ap-4598	54	8	a	a	DET
ap-4598	54	9	representation	representation	NOUN
ap-4598	54	10	in	in	ADP
ap-4598	54	11	which	which	PRON
ap-4598	54	12	the	the	DET
ap-4598	54	13	associated	associated	ADJ
ap-4598	54	14	evolution	evolution	NOUN
ap-4598	54	15	equation	equation	NOUN
ap-4598	54	16	can	can	AUX
ap-4598	54	17	be	be	AUX
ap-4598	54	18	solved	solve	VERB
ap-4598	54	19	easily	easily	ADV
ap-4598	54	20	.	.	PUNCT
ap-4598	55	1	this	this	PRON
ap-4598	55	2	is	be	AUX
ap-4598	55	3	done	do	VERB
ap-4598	55	4	by	by	ADP
ap-4598	55	5	employing	employ	VERB
ap-4598	55	6	the	the	DET
ap-4598	55	7	following	follow	VERB
ap-4598	55	8	criterion	criterion	NOUN
ap-4598	55	9	:	:	PUNCT
ap-4598	55	10	h(t	h(t	X
ap-4598	55	11	)	)	PUNCT
ap-4598	55	12	governing	govern	VERB
ap-4598	55	13	the	the	DET
ap-4598	55	14	evolution	evolution	NOUN
ap-4598	55	15	of	of	ADP
ap-4598	55	16	(	(	PUNCT
ap-4598	55	17	4	4	NUM
ap-4598	55	18	)	)	PUNCT
ap-4598	55	19	is	be	AUX
ap-4598	55	20	required	require	VERB
ap-4598	55	21	to	to	PART
ap-4598	55	22	be	be	AUX
ap-4598	55	23	in	in	ADP
ap-4598	55	24	the	the	DET
ap-4598	55	25	form	form	NOUN
ap-4598	55	26	h(t	h(t	PROPN
ap-4598	55	27	)	)	PUNCT
ap-4598	56	1	=	=	SYM
ap-4598	56	2	g(t)h0	g(t)h0	PROPN
ap-4598	56	3	.	.	PUNCT
ap-4598	57	1	(	(	PUNCT
ap-4598	57	2	6	6	NUM
ap-4598	57	3	)	)	PUNCT
ap-4598	57	4	the	the	DET
ap-4598	57	5	implication	implication	NOUN
ap-4598	57	6	of	of	ADP
ap-4598	57	7	these	these	DET
ap-4598	57	8	results	result	NOUN
ap-4598	57	9	is	be	AUX
ap-4598	57	10	clear	clear	ADJ
ap-4598	57	11	,	,	PUNCT
ap-4598	57	12	the	the	DET
ap-4598	57	13	transformed	transform	VERB
ap-4598	57	14	hamiltonian	hamiltonian	NOUN
ap-4598	57	15	is	be	AUX
ap-4598	57	16	a	a	DET
ap-4598	57	17	product	product	NOUN
ap-4598	57	18	of	of	ADP
ap-4598	57	19	a	a	DET
ap-4598	57	20	simple	simple	ADJ
ap-4598	57	21	time	time	NOUN
ap-4598	57	22	-	-	PUNCT
ap-4598	57	23	independent	independent	ADJ
ap-4598	57	24	hamiltonian	hamiltonian	ADJ
ap-4598	57	25	h0	h0	NOUN
ap-4598	57	26	and	and	CCONJ
ap-4598	57	27	a	a	DET
ap-4598	57	28	time	time	NOUN
ap-4598	57	29	-	-	PUNCT
ap-4598	57	30	dependent	dependent	ADJ
ap-4598	57	31	factor	factor	NOUN
ap-4598	57	32	g(t	g(t	PROPN
ap-4598	57	33	)	)	PUNCT
ap-4598	57	34	.	.	PUNCT
ap-4598	58	1	consequently	consequently	ADV
ap-4598	58	2	,	,	PUNCT
ap-4598	58	3	the	the	DET
ap-4598	58	4	original	original	ADJ
ap-4598	58	5	time	time	NOUN
ap-4598	58	6	-	-	PUNCT
ap-4598	58	7	dependent	dependent	ADJ
ap-4598	58	8	non	non	ADJ
ap-4598	58	9	-	-	ADJ
ap-4598	58	10	hermitian	hermitian	ADJ
ap-4598	58	11	quantum	quantum	ADJ
ap-4598	58	12	problem	problem	NOUN
ap-4598	58	13	is	be	AUX
ap-4598	58	14	completely	completely	ADV
ap-4598	58	15	solved	solve	VERB
ap-4598	58	16	.	.	PUNCT
ap-4598	59	1	if	if	SCONJ
ap-4598	59	2	we	we	PRON
ap-4598	59	3	now	now	ADV
ap-4598	59	4	define	define	VERB
ap-4598	59	5	|ζn	|ζn	NUM
ap-4598	59	6	〉	〉	PROPN
ap-4598	59	7	eigenstate	eigenstate	NOUN
ap-4598	59	8	of	of	ADP
ap-4598	59	9	h0	h0	NOUN
ap-4598	59	10	with	with	ADP
ap-4598	59	11	a	a	DET
ap-4598	59	12	constant	constant	ADJ
ap-4598	59	13	eigenvalue	eigenvalue	NOUN
ap-4598	59	14	λn	λn	NOUN
ap-4598	59	15	,	,	PUNCT
ap-4598	59	16	we	we	PRON
ap-4598	59	17	can	can	AUX
ap-4598	59	18	write	write	VERB
ap-4598	59	19	the	the	DET
ap-4598	59	20	eigenvalue	eigenvalue	ADJ
ap-4598	59	21	equation	equation	NOUN
ap-4598	59	22	in	in	ADP
ap-4598	59	23	the	the	DET
ap-4598	59	24	form	form	NOUN
ap-4598	59	25	h0|ζn	h0|ζn	PROPN
ap-4598	59	26	〉	〉	NOUN
ap-4598	59	27	=	=	SYM
ap-4598	60	1	λn|ζn	λn|ζn	PROPN
ap-4598	60	2	〉	〉	NUM
ap-4598	60	3	.	.	PUNCT
ap-4598	61	1	(	(	PUNCT
ap-4598	61	2	7	7	X
ap-4598	61	3	)	)	PUNCT
ap-4598	61	4	as	as	SCONJ
ap-4598	61	5	is	be	AUX
ap-4598	61	6	easily	easily	ADV
ap-4598	61	7	verified	verify	VERB
ap-4598	61	8	,	,	PUNCT
ap-4598	61	9	the	the	DET
ap-4598	61	10	solution	solution	NOUN
ap-4598	61	11	|φn(t	|φn(t	NUM
ap-4598	61	12	)	)	PUNCT
ap-4598	61	13	〉	〉	NOUN
ap-4598	61	14	of	of	ADP
ap-4598	61	15	the	the	DET
ap-4598	61	16	schrödinger	schrödinger	ADJ
ap-4598	61	17	equation	equation	NOUN
ap-4598	61	18	(	(	PUNCT
ap-4598	61	19	4	4	X
ap-4598	61	20	)	)	PUNCT
ap-4598	61	21	can	can	AUX
ap-4598	61	22	be	be	AUX
ap-4598	61	23	written	write	VERB
ap-4598	61	24	as	as	ADP
ap-4598	61	25	|φn(t	|φn(t	NUM
ap-4598	61	26	)	)	PUNCT
ap-4598	61	27	〉	〉	NOUN
ap-4598	61	28	=	=	SYM
ap-4598	61	29	exp	exp	NOUN
ap-4598	61	30	(	(	PUNCT
ap-4598	61	31	iλn	iλn	PROPN
ap-4598	61	32	∫	∫	PROPN
ap-4598	61	33	t	t	PROPN
ap-4598	61	34	0	0	NUM
ap-4598	61	35	g(t′)dt′	g(t′)dt′	NOUN
ap-4598	61	36	)	)	PUNCT
ap-4598	62	1	|ζn	|ζn	PROPN
ap-4598	62	2	〉	〉	NUM
ap-4598	62	3	.	.	PUNCT
ap-4598	63	1	(	(	PUNCT
ap-4598	63	2	8)	8)	NUM
ap-4598	63	3	of	of	ADP
ap-4598	63	4	note	note	NOUN
ap-4598	63	5	it	it	PRON
ap-4598	63	6	follows	follow	VERB
ap-4598	63	7	immediately	immediately	ADV
ap-4598	63	8	that	that	SCONJ
ap-4598	63	9	the	the	DET
ap-4598	63	10	time	time	NOUN
ap-4598	63	11	evolution	evolution	NOUN
ap-4598	63	12	of	of	ADP
ap-4598	63	13	a	a	DET
ap-4598	63	14	quantum	quantum	ADJ
ap-4598	63	15	system	system	NOUN
ap-4598	63	16	described	describe	VERB
ap-4598	63	17	by	by	ADP
ap-4598	63	18	|φn(t	|φn(t	PRON
ap-4598	63	19	)	)	PUNCT
ap-4598	63	20	〉	〉	PROPN
ap-4598	63	21	does	do	AUX
ap-4598	63	22	n’t	not	PART
ap-4598	63	23	preserve	preserve	VERB
ap-4598	63	24	the	the	DET
ap-4598	63	25	normalization	normalization	NOUN
ap-4598	63	26	i.e.	i.e.	ADV
ap-4598	63	27	,	,	PUNCT
ap-4598	63	28	the	the	DET
ap-4598	63	29	inner	inner	ADJ
ap-4598	63	30	product	product	NOUN
ap-4598	63	31	of	of	ADP
ap-4598	63	32	evolved	evolved	ADJ
ap-4598	63	33	states	state	NOUN
ap-4598	63	34	|φn(t	|φn(t	NUM
ap-4598	63	35	)	)	PUNCT
ap-4598	63	36	〉	〉	NOUN
ap-4598	63	37	depend	depend	VERB
ap-4598	63	38	on	on	ADP
ap-4598	63	39	time	time	NOUN
ap-4598	63	40	:	:	PUNCT
ap-4598	63	41	〈	〈	PROPN
ap-4598	63	42	φn(t)|φn(t	φn(t)|φn(t	ADJ
ap-4598	63	43	)	)	PUNCT
ap-4598	63	44	〉	〉	NOUN
ap-4598	63	45	=	=	PUNCT
ap-4598	63	46	exp	exp	NOUN
ap-4598	64	1	i	i	PRON
ap-4598	64	2	m	m	VERB
ap-4598	64	3	(	(	PUNCT
ap-4598	64	4	λn	λn	PROPN
ap-4598	64	5	∫	∫	PROPN
ap-4598	64	6	t	t	PROPN
ap-4598	64	7	0	0	NUM
ap-4598	64	8	g(t′))dt′	g(t′))dt′	NOUN
ap-4598	64	9	)	)	PUNCT
ap-4598	65	1	〈	〈	PROPN
ap-4598	65	2	φn(0)|φn(0	φn(0)|φn(0	PROPN
ap-4598	65	3	)	)	PUNCT
ap-4598	65	4	〉	〉	PROPN
ap-4598	65	5	.	.	PUNCT
ap-4598	66	1	(	(	PUNCT
ap-4598	66	2	9	9	NUM
ap-4598	66	3	)	)	PUNCT
ap-4598	66	4	at	at	ADP
ap-4598	66	5	this	this	DET
ap-4598	66	6	stage	stage	NOUN
ap-4598	66	7	,	,	PUNCT
ap-4598	66	8	we	we	PRON
ap-4598	66	9	will	will	AUX
ap-4598	66	10	postulate	postulate	VERB
ap-4598	66	11	,	,	PUNCT
ap-4598	66	12	like	like	ADP
ap-4598	66	13	the	the	DET
ap-4598	66	14	hermitian	hermitian	ADJ
ap-4598	66	15	case	case	NOUN
ap-4598	66	16	,	,	PUNCT
ap-4598	66	17	that	that	SCONJ
ap-4598	66	18	the	the	DET
ap-4598	66	19	time	time	NOUN
ap-4598	66	20	evolution	evolution	NOUN
ap-4598	66	21	of	of	ADP
ap-4598	66	22	a	a	DET
ap-4598	66	23	quantum	quantum	ADJ
ap-4598	66	24	system	system	NOUN
ap-4598	66	25	preserves	preserve	NOUN
ap-4598	66	26	,	,	PUNCT
ap-4598	66	27	not	not	PART
ap-4598	66	28	just	just	ADV
ap-4598	66	29	the	the	DET
ap-4598	66	30	normalization	normalization	NOUN
ap-4598	66	31	of	of	ADP
ap-4598	66	32	the	the	DET
ap-4598	66	33	quantum	quantum	ADJ
ap-4598	66	34	states	state	NOUN
ap-4598	66	35	,	,	PUNCT
ap-4598	66	36	but	but	CCONJ
ap-4598	66	37	also	also	ADV
ap-4598	66	38	the	the	DET
ap-4598	66	39	inner	inner	ADJ
ap-4598	66	40	products	product	NOUN
ap-4598	66	41	between	between	ADP
ap-4598	66	42	the	the	DET
ap-4598	66	43	associated	associated	ADJ
ap-4598	66	44	states	state	NOUN
ap-4598	66	45	.	.	PUNCT
ap-4598	67	1	425	425	NUM
ap-4598	67	2	mustapha	mustapha	PROPN
ap-4598	67	3	maamache	maamache	PROPN
ap-4598	67	4	acta	acta	PROPN
ap-4598	67	5	polytechnica	polytechnica	PROPN
ap-4598	67	6	postulate	postulate	NOUN
ap-4598	67	7	:	:	PUNCT
ap-4598	67	8	the	the	DET
ap-4598	67	9	time	time	NOUN
ap-4598	67	10	evolution	evolution	NOUN
ap-4598	67	11	of	of	ADP
ap-4598	67	12	a	a	DET
ap-4598	67	13	non	non	ADJ
ap-4598	67	14	-	-	ADJ
ap-4598	67	15	hermitian	hermitian	ADJ
ap-4598	67	16	quantum	quantum	NOUN
ap-4598	67	17	system	system	NOUN
ap-4598	67	18	preserves	preserve	VERB
ap-4598	67	19	the	the	DET
ap-4598	67	20	normalization	normalization	NOUN
ap-4598	67	21	of	of	ADP
ap-4598	67	22	the	the	DET
ap-4598	67	23	associated	associated	ADJ
ap-4598	67	24	ket	ket	NOUN
ap-4598	67	25	.	.	PUNCT
ap-4598	68	1	the	the	DET
ap-4598	68	2	preservation	preservation	NOUN
ap-4598	68	3	of	of	ADP
ap-4598	68	4	the	the	DET
ap-4598	68	5	norm	norm	NOUN
ap-4598	68	6	of	of	ADP
ap-4598	68	7	the	the	DET
ap-4598	68	8	state	state	NOUN
ap-4598	68	9	is	be	AUX
ap-4598	68	10	associated	associate	VERB
ap-4598	68	11	with	with	ADP
ap-4598	68	12	conservation	conservation	NOUN
ap-4598	68	13	of	of	ADP
ap-4598	68	14	probability	probability	NOUN
ap-4598	68	15	〈	〈	PROPN
ap-4598	68	16	φn(t)|φn(t	φn(t)|φn(t	NOUN
ap-4598	68	17	)	)	PUNCT
ap-4598	68	18	〉	〉	NOUN
ap-4598	68	19	=	=	SYM
ap-4598	68	20	〈	〈	PROPN
ap-4598	68	21	φn(0)|φn(0	φn(0)|φn(0	PROPN
ap-4598	68	22	)	)	PUNCT
ap-4598	68	23	〉	〉	PROPN
ap-4598	68	24	,	,	PUNCT
ap-4598	68	25	implying	imply	VERB
ap-4598	68	26	that	that	SCONJ
ap-4598	68	27	the	the	DET
ap-4598	68	28	imaginary	imaginary	ADJ
ap-4598	68	29	part	part	NOUN
ap-4598	68	30	of	of	ADP
ap-4598	68	31	the	the	DET
ap-4598	68	32	phase	phase	NOUN
ap-4598	68	33	vanishes	vanish	VERB
ap-4598	68	34	,	,	PUNCT
ap-4598	68	35	which	which	PRON
ap-4598	68	36	imposes	impose	VERB
ap-4598	68	37	that	that	DET
ap-4598	68	38	g(t	g(t	PROPN
ap-4598	68	39	)	)	PUNCT
ap-4598	68	40	and	and	CCONJ
ap-4598	68	41	λn	λn	PROPN
ap-4598	68	42	are	be	AUX
ap-4598	68	43	reals	real	NOUN
ap-4598	68	44	and	and	CCONJ
ap-4598	68	45	consequently	consequently	ADV
ap-4598	68	46	the	the	DET
ap-4598	68	47	hamiltonian	hamiltonian	ADJ
ap-4598	68	48	h(t	h(t	PROPN
ap-4598	68	49	)	)	PUNCT
ap-4598	68	50	should	should	AUX
ap-4598	68	51	be	be	AUX
ap-4598	68	52	hermitian	hermitian	ADJ
ap-4598	68	53	.	.	PUNCT
ap-4598	69	1	the	the	DET
ap-4598	69	2	important	important	ADJ
ap-4598	69	3	implication	implication	NOUN
ap-4598	69	4	of	of	ADP
ap-4598	69	5	this	this	DET
ap-4598	69	6	results	result	NOUN
ap-4598	69	7	is	be	AUX
ap-4598	69	8	clear	clear	ADJ
ap-4598	69	9	.	.	PUNCT
ap-4598	70	1	the	the	DET
ap-4598	70	2	requirement	requirement	NOUN
ap-4598	70	3	of	of	ADP
ap-4598	70	4	the	the	DET
ap-4598	70	5	stationarity	stationarity	NOUN
ap-4598	70	6	of	of	ADP
ap-4598	70	7	the	the	DET
ap-4598	70	8	scalar	scalar	ADJ
ap-4598	70	9	product	product	NOUN
ap-4598	70	10	between	between	ADP
ap-4598	70	11	the	the	DET
ap-4598	70	12	states	state	NOUN
ap-4598	70	13	|φn(t	|φn(t	NUM
ap-4598	70	14	)	)	PUNCT
ap-4598	70	15	〉	〉	PROPN
ap-4598	70	16	implies	imply	VERB
ap-4598	70	17	that	that	SCONJ
ap-4598	70	18	the	the	DET
ap-4598	70	19	operator	operator	NOUN
ap-4598	70	20	h(t	h(t	PROPN
ap-4598	70	21	)	)	PUNCT
ap-4598	70	22	is	be	AUX
ap-4598	70	23	diagonal	diagonal	ADJ
ap-4598	70	24	in	in	ADP
ap-4598	70	25	the	the	DET
ap-4598	70	26	basis	basis	NOUN
ap-4598	70	27	{	{	PUNCT
ap-4598	70	28	|ζn	|ζn	PROPN
ap-4598	70	29	〉	〉	NOUN
ap-4598	70	30	}	}	PUNCT
ap-4598	70	31	with	with	ADP
ap-4598	70	32	eigenvalue	eigenvalue	PROPN
ap-4598	70	33	exp	exp	NOUN
ap-4598	70	34	(	(	PUNCT
ap-4598	70	35	iλn	iλn	PROPN
ap-4598	70	36	∫	∫	PROPN
ap-4598	70	37	t	t	PROPN
ap-4598	70	38	0	0	NUM
ap-4598	70	39	g(t	g(t	PROPN
ap-4598	70	40	′)dt′	′)dt′	NOUN
ap-4598	70	41	)	)	PUNCT
ap-4598	70	42	.	.	PUNCT
ap-4598	71	1	in	in	ADP
ap-4598	71	2	the	the	DET
ap-4598	71	3	original	original	ADJ
ap-4598	71	4	representation	representation	NOUN
ap-4598	71	5	|ψn(t	|ψn(t	PROPN
ap-4598	71	6	)	)	PUNCT
ap-4598	71	7	〉	〉	PROPN
ap-4598	71	8	,	,	PUNCT
ap-4598	71	9	the	the	DET
ap-4598	71	10	solution	solution	NOUN
ap-4598	71	11	to	to	ADP
ap-4598	71	12	the	the	DET
ap-4598	71	13	evolution	evolution	NOUN
ap-4598	71	14	equation	equation	NOUN
ap-4598	71	15	in	in	ADP
ap-4598	71	16	(	(	PUNCT
ap-4598	71	17	2	2	NUM
ap-4598	71	18	)	)	PUNCT
ap-4598	71	19	will	will	AUX
ap-4598	71	20	then	then	ADV
ap-4598	71	21	be	be	AUX
ap-4598	71	22	given	give	VERB
ap-4598	71	23	by	by	ADP
ap-4598	71	24	|ψn(t	|ψn(t	NUM
ap-4598	71	25	)	)	PUNCT
ap-4598	71	26	〉	〉	NOUN
ap-4598	71	27	=	=	SYM
ap-4598	71	28	exp	exp	NOUN
ap-4598	71	29	(	(	PUNCT
ap-4598	71	30	iλn	iλn	PROPN
ap-4598	71	31	∫	∫	PROPN
ap-4598	71	32	t	t	PROPN
ap-4598	71	33	0	0	X
ap-4598	71	34	g(t′)dt′	g(t′)dt′	NOUN
ap-4598	71	35	)	)	PUNCT
ap-4598	71	36	v	v	ADP
ap-4598	71	37	−1(t)|ζn	−1(t)|ζn	PROPN
ap-4598	71	38	〉	〉	PROPN
ap-4598	71	39	.	.	PUNCT
ap-4598	72	1	(	(	PUNCT
ap-4598	72	2	10	10	NUM
ap-4598	72	3	)	)	PUNCT
ap-4598	72	4	as	as	SCONJ
ap-4598	72	5	we	we	PRON
ap-4598	72	6	are	be	AUX
ap-4598	72	7	only	only	ADV
ap-4598	72	8	changing	change	VERB
ap-4598	72	9	our	our	PRON
ap-4598	72	10	description	description	NOUN
ap-4598	72	11	of	of	ADP
ap-4598	72	12	the	the	DET
ap-4598	72	13	system	system	NOUN
ap-4598	72	14	by	by	ADP
ap-4598	72	15	changing	change	VERB
ap-4598	72	16	basis	basis	NOUN
ap-4598	72	17	,	,	PUNCT
ap-4598	72	18	we	we	PRON
ap-4598	72	19	must	must	AUX
ap-4598	72	20	preserve	preserve	VERB
ap-4598	72	21	the	the	DET
ap-4598	72	22	inner	inner	ADJ
ap-4598	72	23	product	product	NOUN
ap-4598	72	24	between	between	ADP
ap-4598	72	25	vectors	vector	NOUN
ap-4598	72	26	.	.	PUNCT
ap-4598	73	1	explicitly	explicitly	ADV
ap-4598	73	2	,	,	PUNCT
ap-4598	73	3	from	from	ADP
ap-4598	73	4	preserving	preserve	VERB
ap-4598	73	5	of	of	ADP
ap-4598	73	6	this	this	DET
ap-4598	73	7	inner	inner	ADJ
ap-4598	73	8	product	product	NOUN
ap-4598	73	9	between	between	ADP
ap-4598	73	10	states	state	NOUN
ap-4598	73	11	|φn(t	|φn(t	NUM
ap-4598	73	12	)	)	PUNCT
ap-4598	73	13	〉	〉	PROPN
ap-4598	73	14	,	,	PUNCT
ap-4598	73	15	we	we	PRON
ap-4598	73	16	can	can	AUX
ap-4598	73	17	now	now	ADV
ap-4598	73	18	define	define	VERB
ap-4598	73	19	the	the	DET
ap-4598	73	20	inner	inner	ADJ
ap-4598	73	21	product	product	NOUN
ap-4598	73	22	between	between	ADP
ap-4598	73	23	states	state	NOUN
ap-4598	73	24	|ψn(t	|ψn(t	NOUN
ap-4598	73	25	)	)	PUNCT
ap-4598	73	26	〉	〉	NOUN
ap-4598	73	27	=	=	SYM
ap-4598	73	28	v	v	NOUN
ap-4598	73	29	−1(t)|φn(t	−1(t)|φn(t	NOUN
ap-4598	73	30	)	)	PUNCT
ap-4598	73	31	〉	〉	NOUN
ap-4598	73	32	as	as	ADP
ap-4598	73	33	〈	〈	PROPN
ap-4598	73	34	ψn(t)|v	ψn(t)|v	PROPN
ap-4598	73	35	+	+	PROPN
ap-4598	73	36	(	(	PUNCT
ap-4598	73	37	t)v	t)v	X
ap-4598	73	38	(	(	PUNCT
ap-4598	73	39	t)|ψn(t	t)|ψn(t	NUM
ap-4598	73	40	)	)	PUNCT
ap-4598	73	41	〉	〉	NOUN
ap-4598	73	42	=	=	SYM
ap-4598	73	43	〈	〈	PROPN
ap-4598	73	44	ψn(0)|v	ψn(0)|v	X
ap-4598	73	45	+	+	NOUN
ap-4598	73	46	(	(	PUNCT
ap-4598	73	47	0)v	0)v	NUM
ap-4598	73	48	(	(	PUNCT
ap-4598	73	49	0)|ψn(0	0)|ψn(0	PROPN
ap-4598	73	50	)	)	PUNCT
ap-4598	73	51	〉	〉	PROPN
ap-4598	73	52	(	(	PUNCT
ap-4598	73	53	11	11	NUM
ap-4598	73	54	)	)	PUNCT
ap-4598	73	55	which	which	PRON
ap-4598	73	56	has	have	VERB
ap-4598	73	57	both	both	CCONJ
ap-4598	73	58	a	a	DET
ap-4598	73	59	positive	positive	ADJ
ap-4598	73	60	definite	definite	ADJ
ap-4598	73	61	signature	signature	NOUN
ap-4598	73	62	and	and	CCONJ
ap-4598	73	63	leaves	leave	VERB
ap-4598	73	64	the	the	DET
ap-4598	73	65	norms	norm	NOUN
ap-4598	73	66	of	of	ADP
ap-4598	73	67	vectors	vector	NOUN
ap-4598	73	68	stationary	stationary	ADJ
ap-4598	73	69	in	in	ADP
ap-4598	73	70	time	time	NOUN
ap-4598	73	71	.	.	PUNCT
ap-4598	74	1	3	3	X
ap-4598	74	2	.	.	X
ap-4598	74	3	application	application	NOUN
ap-4598	74	4	:	:	PUNCT
ap-4598	74	5	su(1	su(1	NOUN
ap-4598	74	6	,	,	PUNCT
ap-4598	74	7	1	1	NUM
ap-4598	74	8	)	)	PUNCT
ap-4598	74	9	and	and	CCONJ
ap-4598	74	10	su(2	su(2	NOUN
ap-4598	74	11	)	)	PUNCT
ap-4598	74	12	non	non	ADJ
ap-4598	74	13	-	-	ADJ
ap-4598	74	14	hermitian	hermitian	ADJ
ap-4598	74	15	time	time	NOUN
ap-4598	74	16	-	-	PUNCT
ap-4598	74	17	dependent	dependent	ADJ
ap-4598	74	18	systems	system	NOUN
ap-4598	74	19	however	however	ADV
ap-4598	74	20	,	,	PUNCT
ap-4598	74	21	if	if	SCONJ
ap-4598	74	22	the	the	DET
ap-4598	74	23	hamiltonian	hamiltonian	NOUN
ap-4598	74	24	h(t	h(t	PROPN
ap-4598	74	25	)	)	PUNCT
ap-4598	74	26	takes	take	VERB
ap-4598	74	27	the	the	DET
ap-4598	74	28	following	follow	VERB
ap-4598	74	29	form	form	NOUN
ap-4598	74	30	:	:	PUNCT
ap-4598	74	31	h(t	h(t	X
ap-4598	74	32	)	)	PUNCT
ap-4598	75	1	=	=	SYM
ap-4598	76	1	2ω(t)k0	2ω(t)k0	NUM
ap-4598	76	2	+	+	CCONJ
ap-4598	76	3	2α(t)k−	2α(t)k−	NUM
ap-4598	77	1	+	+	CCONJ
ap-4598	77	2	2β(t)k+	2β(t)k+	NUM
ap-4598	77	3	,	,	PUNCT
ap-4598	77	4	(	(	PUNCT
ap-4598	77	5	12	12	NUM
ap-4598	77	6	)	)	PUNCT
ap-4598	77	7	where	where	SCONJ
ap-4598	77	8	(	(	PUNCT
ap-4598	77	9	ω(t	ω(t	NOUN
ap-4598	77	10	)	)	PUNCT
ap-4598	77	11	,	,	PUNCT
ap-4598	77	12	α(t	α(t	PROPN
ap-4598	77	13	)	)	PUNCT
ap-4598	77	14	,	,	PUNCT
ap-4598	77	15	β(t	β(t	PROPN
ap-4598	77	16	)	)	PUNCT
ap-4598	77	17	)	)	PUNCT
ap-4598	78	1	∈	∈	PROPN
ap-4598	78	2	c	c	NOUN
ap-4598	78	3	are	be	AUX
ap-4598	78	4	arbitrary	arbitrary	ADJ
ap-4598	78	5	functions	function	NOUN
ap-4598	78	6	of	of	ADP
ap-4598	78	7	time	time	NOUN
ap-4598	78	8	.	.	PUNCT
ap-4598	79	1	the	the	DET
ap-4598	79	2	hermitian	hermitian	ADJ
ap-4598	79	3	operator	operator	NOUN
ap-4598	79	4	k0	k0	PROPN
ap-4598	79	5	and	and	CCONJ
ap-4598	79	6	k+	k+	NOUN
ap-4598	79	7	=	=	SYM
ap-4598	79	8	(	(	PUNCT
ap-4598	79	9	k−)+	k−)+	X
ap-4598	79	10	forms	form	VERB
ap-4598	79	11	a	a	DET
ap-4598	79	12	closed	closed	ADJ
ap-4598	79	13	lie	lie	NOUN
ap-4598	79	14	algebra	algebra	NOUN
ap-4598	79	15	.	.	PUNCT
ap-4598	80	1	in	in	ADP
ap-4598	80	2	this	this	DET
ap-4598	80	3	paper	paper	NOUN
ap-4598	80	4	we	we	PRON
ap-4598	80	5	shall	shall	AUX
ap-4598	80	6	concentrate	concentrate	VERB
ap-4598	80	7	on	on	ADP
ap-4598	80	8	a	a	DET
ap-4598	80	9	particular	particular	ADJ
ap-4598	80	10	time	time	NOUN
ap-4598	80	11	-	-	PUNCT
ap-4598	80	12	dependent	dependent	ADJ
ap-4598	80	13	non	non	ADJ
ap-4598	80	14	-	-	ADJ
ap-4598	80	15	hermitian	hermitian	ADJ
ap-4598	80	16	hamiltonian	hamiltonian	NOUN
ap-4598	80	17	(	(	PUNCT
ap-4598	80	18	12	12	NUM
ap-4598	80	19	)	)	PUNCT
ap-4598	80	20	which	which	PRON
ap-4598	80	21	comprises	comprise	VERB
ap-4598	80	22	su(1	su(1	NOUN
ap-4598	80	23	,	,	PUNCT
ap-4598	80	24	1	1	NUM
ap-4598	80	25	)	)	PUNCT
ap-4598	80	26	and	and	CCONJ
ap-4598	80	27	su(2	su(2	NOUN
ap-4598	80	28	)	)	PUNCT
ap-4598	80	29	group	group	NOUN
ap-4598	80	30	generators	generator	NOUN
ap-4598	80	31	,	,	PUNCT
ap-4598	80	32	where	where	SCONJ
ap-4598	80	33	k0	k0	PROPN
ap-4598	80	34	,	,	PUNCT
ap-4598	80	35	k−	k−	PROPN
ap-4598	80	36	and	and	CCONJ
ap-4598	80	37	k+	k+	NOUN
ap-4598	80	38	form	form	VERB
ap-4598	80	39	the	the	DET
ap-4598	80	40	su(1	su(1	NOUN
ap-4598	80	41	,	,	PUNCT
ap-4598	80	42	1	1	NUM
ap-4598	80	43	)	)	PUNCT
ap-4598	80	44	and	and	CCONJ
ap-4598	80	45	su(2	su(2	NOUN
ap-4598	80	46	)	)	PUNCT
ap-4598	80	47	lie	lie	NOUN
ap-4598	80	48	algebra	algebra	NOUN
ap-4598	80	49	written	write	VERB
ap-4598	80	50	in	in	ADP
ap-4598	80	51	the	the	DET
ap-4598	80	52	following	follow	VERB
ap-4598	80	53	unified	unified	ADJ
ap-4598	80	54	form:	form:	NOUN
ap-4598	80	55	[	[	X
ap-4598	80	56	k0,k+	k0,k+	X
ap-4598	80	57	]	]	X
ap-4598	80	58	=	=	SYM
ap-4598	80	59	k+	k+	X
ap-4598	80	60	,	,	PUNCT
ap-4598	80	61	[	[	X
ap-4598	80	62	k0,k−	k0,k−	X
ap-4598	80	63	]	]	X
ap-4598	80	64	=	=	SYM
ap-4598	80	65	−k−	−k−	NOUN
ap-4598	80	66	,	,	PUNCT
ap-4598	80	67	[	[	X
ap-4598	80	68	k+,k−	k+,k−	X
ap-4598	80	69	]	]	X
ap-4598	80	70	=	=	SYM
ap-4598	80	71	dk0	dk0	NOUN
ap-4598	80	72	(	(	PUNCT
ap-4598	80	73	13	13	NUM
ap-4598	80	74	)	)	PUNCT
ap-4598	80	75	the	the	DET
ap-4598	80	76	lie	lie	NOUN
ap-4598	80	77	algebra	algebra	NOUN
ap-4598	80	78	of	of	ADP
ap-4598	80	79	su(1	su(1	NOUN
ap-4598	80	80	,	,	PUNCT
ap-4598	80	81	1	1	NUM
ap-4598	80	82	)	)	PUNCT
ap-4598	80	83	and	and	CCONJ
ap-4598	80	84	su(2	su(2	NOUN
ap-4598	80	85	)	)	PUNCT
ap-4598	80	86	corresponds	correspond	VERB
ap-4598	80	87	to	to	ADP
ap-4598	80	88	d	d	NOUN
ap-4598	80	89	=	=	SYM
ap-4598	80	90	−2	−2	NOUN
ap-4598	80	91	and	and	CCONJ
ap-4598	80	92	2	2	NUM
ap-4598	80	93	in	in	ADP
ap-4598	80	94	the	the	DET
ap-4598	80	95	commutation	commutation	NOUN
ap-4598	80	96	relations	relation	NOUN
ap-4598	80	97	(	(	PUNCT
ap-4598	80	98	13	13	NUM
ap-4598	80	99	)	)	PUNCT
ap-4598	80	100	,	,	PUNCT
ap-4598	80	101	respectively	respectively	ADV
ap-4598	80	102	.	.	PUNCT
ap-4598	81	1	k+	k+	NOUN
ap-4598	81	2	is	be	AUX
ap-4598	81	3	the	the	DET
ap-4598	81	4	creation	creation	NOUN
ap-4598	81	5	operator	operator	NOUN
ap-4598	81	6	and	and	CCONJ
ap-4598	81	7	k−	k−	PROPN
ap-4598	81	8	is	be	AUX
ap-4598	81	9	the	the	DET
ap-4598	81	10	annihilation	annihilation	NOUN
ap-4598	81	11	operator	operator	NOUN
ap-4598	81	12	when	when	SCONJ
ap-4598	81	13	acting	act	VERB
ap-4598	81	14	on	on	ADP
ap-4598	81	15	eigenfunctions	eigenfunction	NOUN
ap-4598	81	16	of	of	ADP
ap-4598	81	17	k0	k0	PROPN
ap-4598	81	18	.	.	PUNCT
ap-4598	82	1	then	then	ADV
ap-4598	82	2	the	the	DET
ap-4598	82	3	non	non	ADJ
ap-4598	82	4	-	-	ADJ
ap-4598	82	5	unitary	unitary	ADJ
ap-4598	82	6	transformation	transformation	NOUN
ap-4598	82	7	operator	operator	NOUN
ap-4598	82	8	v	v	ADP
ap-4598	82	9	(	(	PUNCT
ap-4598	82	10	t	t	NOUN
ap-4598	82	11	)	)	PUNCT
ap-4598	82	12	can	can	AUX
ap-4598	82	13	be	be	AUX
ap-4598	82	14	expressed	express	VERB
ap-4598	82	15	locally	locally	ADV
ap-4598	82	16	in	in	ADP
ap-4598	82	17	the	the	DET
ap-4598	82	18	following	follow	VERB
ap-4598	82	19	form	form	NOUN
ap-4598	82	20	v	v	ADP
ap-4598	82	21	(	(	PUNCT
ap-4598	82	22	t	t	NOUN
ap-4598	82	23	)	)	PUNCT
ap-4598	82	24	=	=	PUNCT
ap-4598	82	25	exp[2ε(t)k0	exp[2ε(t)k0	PUNCT
ap-4598	83	1	+	+	CCONJ
ap-4598	83	2	2µ(t)k−	2µ(t)k−	NUM
ap-4598	83	3	+	+	CCONJ
ap-4598	83	4	2µ∗(t)k+	2µ∗(t)k+	NUM
ap-4598	83	5	]	]	PUNCT
ap-4598	83	6	,	,	PUNCT
ap-4598	83	7	(	(	PUNCT
ap-4598	83	8	14	14	NUM
ap-4598	83	9	)	)	PUNCT
ap-4598	83	10	where	where	SCONJ
ap-4598	83	11	ε	ε	PROPN
ap-4598	83	12	,	,	PUNCT
ap-4598	83	13	µ	µ	X
ap-4598	83	14	are	be	AUX
ap-4598	83	15	arbitrary	arbitrary	ADJ
ap-4598	83	16	real	real	ADJ
ap-4598	83	17	and	and	CCONJ
ap-4598	83	18	complex	complex	ADJ
ap-4598	83	19	time	time	NOUN
ap-4598	83	20	-	-	PUNCT
ap-4598	83	21	dependent	dependent	ADJ
ap-4598	83	22	parameters	parameter	NOUN
ap-4598	83	23	respectively	respectively	ADV
ap-4598	83	24	.	.	PUNCT
ap-4598	84	1	we	we	PRON
ap-4598	84	2	shall	shall	AUX
ap-4598	84	3	disentangle	disentangle	VERB
ap-4598	84	4	this	this	DET
ap-4598	84	5	exponential	exponential	ADJ
ap-4598	84	6	operator	operator	NOUN
ap-4598	84	7	into	into	ADP
ap-4598	84	8	a	a	DET
ap-4598	84	9	product	product	NOUN
ap-4598	84	10	of	of	ADP
ap-4598	84	11	exponential	exponential	ADJ
ap-4598	84	12	operators	operator	NOUN
ap-4598	84	13	[	[	X
ap-4598	84	14	37	37	NUM
ap-4598	84	15	,	,	PUNCT
ap-4598	84	16	38	38	NUM
ap-4598	84	17	]	]	PUNCT
ap-4598	84	18	.	.	PUNCT
ap-4598	85	1	this	this	DET
ap-4598	85	2	procedure	procedure	NOUN
ap-4598	85	3	provides	provide	VERB
ap-4598	85	4	a	a	DET
ap-4598	85	5	way	way	NOUN
ap-4598	85	6	to	to	PART
ap-4598	85	7	uncouple	uncouple	VERB
ap-4598	85	8	exponential	exponential	ADJ
ap-4598	85	9	operators	operator	NOUN
ap-4598	85	10	which	which	PRON
ap-4598	85	11	are	be	AUX
ap-4598	85	12	not	not	PART
ap-4598	85	13	necessarily	necessarily	ADV
ap-4598	85	14	unitary	unitary	ADJ
ap-4598	85	15	.	.	PUNCT
ap-4598	86	1	now	now	ADV
ap-4598	86	2	we	we	PRON
ap-4598	86	3	have	have	VERB
ap-4598	86	4	v	v	NUM
ap-4598	86	5	(	(	PUNCT
ap-4598	86	6	t	t	NOUN
ap-4598	86	7	)	)	PUNCT
ap-4598	86	8	=	=	SYM
ap-4598	86	9	eϑ+(t)k+elnϑ0(t)k0eϑ−(t)k−	eϑ+(t)k+elnϑ0(t)k0eϑ−(t)k−	X
ap-4598	86	10	.	.	PUNCT
ap-4598	87	1	(	(	PUNCT
ap-4598	87	2	15	15	X
ap-4598	87	3	)	)	PUNCT
ap-4598	87	4	we	we	PRON
ap-4598	87	5	chose	choose	VERB
ap-4598	87	6	this	this	DET
ap-4598	87	7	particular	particular	ADJ
ap-4598	87	8	form	form	NOUN
ap-4598	87	9	(	(	PUNCT
ap-4598	87	10	15	15	NUM
ap-4598	87	11	)	)	PUNCT
ap-4598	87	12	for	for	ADP
ap-4598	87	13	v	v	PROPN
ap-4598	87	14	(	(	PUNCT
ap-4598	87	15	t	t	PROPN
ap-4598	87	16	)	)	PUNCT
ap-4598	87	17	because	because	SCONJ
ap-4598	87	18	it	it	PRON
ap-4598	87	19	is	be	AUX
ap-4598	87	20	expressed	express	VERB
ap-4598	87	21	as	as	ADP
ap-4598	87	22	a	a	DET
ap-4598	87	23	product	product	NOUN
ap-4598	87	24	of	of	ADP
ap-4598	87	25	exponential	exponential	ADJ
ap-4598	87	26	operators	operator	NOUN
ap-4598	87	27	,	,	PUNCT
ap-4598	87	28	and	and	CCONJ
ap-4598	87	29	direct	direct	ADJ
ap-4598	87	30	differentiation	differentiation	NOUN
ap-4598	87	31	with	with	ADP
ap-4598	87	32	respect	respect	NOUN
ap-4598	87	33	to	to	ADP
ap-4598	87	34	time	time	NOUN
ap-4598	87	35	for	for	SCONJ
ap-4598	87	36	this	this	DET
ap-4598	87	37	operator	operator	NOUN
ap-4598	87	38	can	can	AUX
ap-4598	87	39	be	be	AUX
ap-4598	87	40	readily	readily	ADV
ap-4598	87	41	carried	carry	VERB
ap-4598	87	42	out	out	ADP
ap-4598	87	43	.	.	PUNCT
ap-4598	88	1	the	the	DET
ap-4598	88	2	time	time	NOUN
ap-4598	88	3	dependent	dependent	ADJ
ap-4598	88	4	coefficients	coefficient	NOUN
ap-4598	88	5	ϑ0(t	ϑ0(t	NOUN
ap-4598	88	6	)	)	PUNCT
ap-4598	88	7	and	and	CCONJ
ap-4598	88	8	ϑ±(t	ϑ±(t	PROPN
ap-4598	88	9	)	)	PUNCT
ap-4598	88	10	read	read	NOUN
ap-4598	88	11	ϑ0(t	ϑ0(t	NOUN
ap-4598	88	12	)	)	PUNCT
ap-4598	88	13	=	=	SYM
ap-4598	88	14	(	(	PUNCT
ap-4598	88	15	cosh	cosh	NOUN
ap-4598	88	16	θ	θ	PROPN
ap-4598	88	17	−	−	PROPN
ap-4598	88	18	ε	ε	PROPN
ap-4598	88	19	θ	θ	PROPN
ap-4598	88	20	sinh	sinh	NOUN
ap-4598	88	21	θ	θ	PROPN
ap-4598	88	22	)	)	PUNCT
ap-4598	89	1	−2	−2	NOUN
ap-4598	89	2	,	,	PUNCT
ap-4598	89	3	θ	θ	X
ap-4598	89	4	=	=	PUNCT
ap-4598	89	5	√	√	PROPN
ap-4598	89	6	ε2	ε2	PROPN
ap-4598	89	7	+	+	CCONJ
ap-4598	89	8	2d|µ|2	2d|µ|2	PROPN
ap-4598	89	9	,	,	PUNCT
ap-4598	89	10	ϑ+(t	ϑ+(t	PROPN
ap-4598	89	11	)	)	PUNCT
ap-4598	89	12	=	=	PUNCT
ap-4598	90	1	2µ∗	2µ∗	NUM
ap-4598	90	2	sinh	sinh	NOUN
ap-4598	90	3	θ	θ	PROPN
ap-4598	90	4	θ	θ	NOUN
ap-4598	90	5	cosh	cosh	NOUN
ap-4598	90	6	θ	θ	PROPN
ap-4598	91	1	−	−	NOUN
ap-4598	91	2	ε	ε	PROPN
ap-4598	91	3	sinh	sinh	NOUN
ap-4598	91	4	θ	θ	PROPN
ap-4598	91	5	,	,	PUNCT
ap-4598	91	6	ϑ−(t	ϑ−(t	PROPN
ap-4598	91	7	)	)	PUNCT
ap-4598	91	8	=	=	SYM
ap-4598	91	9	2µ	2µ	NUM
ap-4598	91	10	sinh	sinh	NOUN
ap-4598	91	11	θ	θ	PROPN
ap-4598	91	12	θ	θ	PROPN
ap-4598	91	13	cosh	cosh	NOUN
ap-4598	91	14	θ	θ	PROPN
ap-4598	91	15	−	−	NOUN
ap-4598	91	16	ε	ε	PROPN
ap-4598	91	17	sinh	sinh	NOUN
ap-4598	91	18	θ	θ	PROPN
ap-4598	91	19	.	.	PUNCT
ap-4598	92	1	(	(	PUNCT
ap-4598	92	2	16	16	NUM
ap-4598	92	3	)	)	PUNCT
ap-4598	92	4	the	the	DET
ap-4598	92	5	notation	notation	NOUN
ap-4598	92	6	may	may	AUX
ap-4598	92	7	be	be	AUX
ap-4598	92	8	simplified	simplify	VERB
ap-4598	92	9	even	even	ADV
ap-4598	92	10	further	far	ADV
ap-4598	92	11	by	by	ADP
ap-4598	92	12	introducing	introduce	VERB
ap-4598	92	13	some	some	DET
ap-4598	92	14	new	new	ADJ
ap-4598	92	15	quantities	quantity	NOUN
ap-4598	92	16	[	[	X
ap-4598	92	17	29	29	NUM
ap-4598	92	18	]	]	X
ap-4598	92	19	z	z	NOUN
ap-4598	92	20	=	=	SYM
ap-4598	92	21	2µ	2µ	NUM
ap-4598	92	22	ε	ε	PROPN
ap-4598	92	23	=	=	SYM
ap-4598	92	24	|z|eiϕ	|z|eiϕ	PROPN
ap-4598	92	25	,	,	PUNCT
ap-4598	92	26	φ	φ	NOUN
ap-4598	92	27	=	=	SYM
ap-4598	92	28	|z|	|z|	PROPN
ap-4598	92	29	1−	1−	NUM
ap-4598	92	30	ε	ε	PROPN
ap-4598	92	31	θ	θ	PROPN
ap-4598	92	32	coth	coth	PROPN
ap-4598	92	33	θ	θ	PROPN
ap-4598	92	34	,	,	PUNCT
ap-4598	92	35	χ(t	χ(t	PROPN
ap-4598	92	36	)	)	PUNCT
ap-4598	92	37	=	=	PUNCT
ap-4598	93	1	−	−	PROPN
ap-4598	93	2	cosh	cosh	NOUN
ap-4598	93	3	θ	θ	PROPN
ap-4598	93	4	+	+	CCONJ
ap-4598	93	5	ε	ε	PROPN
ap-4598	93	6	θ	θ	PROPN
ap-4598	93	7	sinh	sinh	NOUN
ap-4598	93	8	θ	θ	PROPN
ap-4598	93	9	cosh	cosh	NOUN
ap-4598	93	10	θ	θ	PROPN
ap-4598	93	11	−	−	NOUN
ap-4598	93	12	ε	ε	PROPN
ap-4598	93	13	θ	θ	PROPN
ap-4598	93	14	sinh	sinh	NOUN
ap-4598	93	15	θ	θ	PROPN
ap-4598	93	16	.	.	PUNCT
ap-4598	94	1	(	(	PUNCT
ap-4598	94	2	17	17	NUM
ap-4598	94	3	)	)	PUNCT
ap-4598	94	4	with	with	ADP
ap-4598	94	5	this	this	DET
ap-4598	94	6	adopted	adopt	VERB
ap-4598	94	7	notation	notation	NOUN
ap-4598	94	8	,	,	PUNCT
ap-4598	94	9	the	the	DET
ap-4598	94	10	coefficients	coefficient	NOUN
ap-4598	94	11	in	in	ADP
ap-4598	94	12	(	(	PUNCT
ap-4598	94	13	16	16	NUM
ap-4598	94	14	)	)	PUNCT
ap-4598	94	15	simplify	simplify	NOUN
ap-4598	94	16	to	to	ADP
ap-4598	94	17	ϑ±	ϑ±	PROPN
ap-4598	94	18	=	=	SYM
ap-4598	94	19	−φe∓iϕ	−φe∓iϕ	PROPN
ap-4598	94	20	,	,	PUNCT
ap-4598	94	21	ϑ0	ϑ0	NOUN
ap-4598	94	22	=	=	PUNCT
ap-4598	95	1	−d2	−d2	PROPN
ap-4598	95	2	φ	φ	NUM
ap-4598	95	3	2	2	NUM
ap-4598	95	4	−	−	NOUN
ap-4598	95	5	χ	χ	NOUN
ap-4598	95	6	.	.	PUNCT
ap-4598	96	1	(	(	PUNCT
ap-4598	96	2	18	18	NUM
ap-4598	96	3	)	)	PUNCT
ap-4598	96	4	426	426	NUM
ap-4598	96	5	vol	vol	NOUN
ap-4598	96	6	.	.	PUNCT
ap-4598	97	1	57	57	NUM
ap-4598	97	2	no	no	NOUN
ap-4598	97	3	.	.	PUNCT
ap-4598	98	1	6/2017	6/2017	NUM
ap-4598	98	2	non	non	ADJ
ap-4598	98	3	-	-	ADJ
ap-4598	98	4	unitary	unitary	ADJ
ap-4598	98	5	transformation	transformation	NOUN
ap-4598	98	6	of	of	ADP
ap-4598	98	7	non	non	ADJ
ap-4598	98	8	-	-	ADJ
ap-4598	98	9	hermitian	hermitian	ADJ
ap-4598	98	10	systems	system	NOUN
ap-4598	98	11	using	use	VERB
ap-4598	98	12	the	the	DET
ap-4598	98	13	relations	relation	NOUN
ap-4598	98	14	{	{	PUNCT
ap-4598	98	15	exp[ϑ−k−]k0	exp[ϑ−k−]k0	ADP
ap-4598	98	16	exp[−ϑ−k−	exp[−ϑ−k−	X
ap-4598	98	17	]	]	PUNCT
ap-4598	98	18	=	=	SYM
ap-4598	98	19	k0	k0	PROPN
ap-4598	98	20	+	+	CCONJ
ap-4598	98	21	ϑ−k−	ϑ−k−	PROPN
ap-4598	98	22	,	,	PUNCT
ap-4598	98	23	exp[ϑ+k+]k0	exp[ϑ+k+]k0	X
ap-4598	98	24	exp[−ϑ+k+	exp[−ϑ+k+	PROPN
ap-4598	98	25	]	]	X
ap-4598	98	26	=	=	SYM
ap-4598	98	27	k0	k0	PROPN
ap-4598	98	28	−	−	PROPN
ap-4598	98	29	ϑ+k+	ϑ+k+	NOUN
ap-4598	98	30	,	,	PUNCT
ap-4598	98	31	(	(	PUNCT
ap-4598	98	32	19	19	NUM
ap-4598	98	33	)	)	PUNCT
ap-4598	98	34	{	{	PUNCT
ap-4598	98	35	exp[lnϑ0k0]k−	exp[lnϑ0k0]k−	NOUN
ap-4598	98	36	exp[−	exp[−	ADJ
ap-4598	98	37	lnϑ0k0	lnϑ0k0	PROPN
ap-4598	98	38	]	]	PUNCT
ap-4598	98	39	=	=	SYM
ap-4598	98	40	k−	k−	PROPN
ap-4598	98	41	ϑ0	ϑ0	NOUN
ap-4598	98	42	,	,	PUNCT
ap-4598	98	43	exp[ϑ+k+]k−	exp[ϑ+k+]k−	PROPN
ap-4598	98	44	exp[−ϑ+k+	exp[−ϑ+k+	PROPN
ap-4598	98	45	]	]	X
ap-4598	98	46	=	=	PUNCT
ap-4598	98	47	k−	k−	PROPN
ap-4598	99	1	+	+	NOUN
ap-4598	99	2	dϑ+k0	dϑ+k0	PROPN
ap-4598	100	1	−	−	PROPN
ap-4598	100	2	d	d	SYM
ap-4598	100	3	2	2	NUM
ap-4598	100	4	ϑ	ϑ	SYM
ap-4598	100	5	2	2	NUM
ap-4598	100	6	+	+	NOUN
ap-4598	100	7	k+	k+	NOUN
ap-4598	100	8	,	,	PUNCT
ap-4598	100	9	(	(	PUNCT
ap-4598	100	10	20	20	NUM
ap-4598	100	11	)	)	PUNCT
ap-4598	100	12	{	{	PUNCT
ap-4598	100	13	exp[lnϑ0k0]k+	exp[lnϑ0k0]k+	X
ap-4598	100	14	exp[−	exp[−	X
ap-4598	100	15	lnϑ0k0	lnϑ0k0	X
ap-4598	100	16	]	]	PUNCT
ap-4598	100	17	=	=	SYM
ap-4598	100	18	ϑ0k+	ϑ0k+	X
ap-4598	100	19	,	,	PUNCT
ap-4598	100	20	exp[ϑ−k−]k+	exp[ϑ−k−]k+	NOUN
ap-4598	100	21	exp[ϑ−k−	exp[ϑ−k−	X
ap-4598	100	22	]	]	PUNCT
ap-4598	100	23	=	=	SYM
ap-4598	100	24	k+	k+	X
ap-4598	100	25	−dϑ−k0	−dϑ−k0	PROPN
ap-4598	100	26	−	−	PROPN
ap-4598	100	27	d	d	SYM
ap-4598	100	28	2	2	NUM
ap-4598	100	29	ϑ	ϑ	SYM
ap-4598	100	30	2	2	NUM
ap-4598	100	31	−k−	−k−	NOUN
ap-4598	100	32	,	,	PUNCT
ap-4598	100	33	(	(	PUNCT
ap-4598	100	34	21	21	NUM
ap-4598	100	35	)	)	PUNCT
ap-4598	100	36	i	i	PRON
ap-4598	100	37	∂v	∂v	PROPN
ap-4598	100	38	(	(	PUNCT
ap-4598	100	39	t	t	PROPN
ap-4598	100	40	)	)	PUNCT
ap-4598	100	41	∂t	∂t	PROPN
ap-4598	100	42	v	v	NOUN
ap-4598	100	43	−1(t	−1(t	PROPN
ap-4598	100	44	)	)	PUNCT
ap-4598	100	45	=	=	PUNCT
ap-4598	101	1	i	i	PRON
ap-4598	101	2	ϑ0	ϑ0	NOUN
ap-4598	101	3	(	(	PUNCT
ap-4598	101	4	(	(	PUNCT
ap-4598	101	5	ϑ̇0	ϑ̇0	PROPN
ap-4598	101	6	+	+	PROPN
ap-4598	101	7	dϑ+ϑ̇−)k0	dϑ+ϑ̇−)k0	NOUN
ap-4598	101	8	+	+	CCONJ
ap-4598	101	9	ϑ̇−k−	ϑ̇−k−	NOUN
ap-4598	101	10	+	+	CCONJ
ap-4598	101	11	(	(	PUNCT
ap-4598	101	12	ϑ0	ϑ0	PROPN
ap-4598	101	13	·	·	PUNCT
ap-4598	101	14	ϑ+	ϑ+	X
ap-4598	101	15	−	−	PROPN
ap-4598	101	16	ϑ+ϑ̇0	ϑ+ϑ̇0	PROPN
ap-4598	101	17	−	−	PROPN
ap-4598	101	18	d	d	SYM
ap-4598	101	19	2	2	NUM
ap-4598	101	20	ϑ	ϑ	SYM
ap-4598	101	21	2	2	NUM
ap-4598	101	22	+	+	NUM
ap-4598	101	23	ϑ̇−	ϑ̇−	X
ap-4598	101	24	)	)	PUNCT
ap-4598	101	25	)	)	PUNCT
ap-4598	101	26	(	(	PUNCT
ap-4598	101	27	22	22	NUM
ap-4598	101	28	)	)	PUNCT
ap-4598	101	29	and	and	CCONJ
ap-4598	101	30	putting	put	VERB
ap-4598	101	31	them	they	PRON
ap-4598	101	32	into	into	ADP
ap-4598	101	33	(	(	PUNCT
ap-4598	101	34	5	5	NUM
ap-4598	101	35	)	)	PUNCT
ap-4598	101	36	,	,	PUNCT
ap-4598	101	37	we	we	PRON
ap-4598	101	38	obtain	obtain	VERB
ap-4598	101	39	,	,	PUNCT
ap-4598	101	40	after	after	ADP
ap-4598	101	41	some	some	DET
ap-4598	101	42	algebra	algebra	NOUN
ap-4598	101	43	the	the	DET
ap-4598	101	44	transformed	transform	VERB
ap-4598	101	45	hamiltonian	hamiltonian	ADJ
ap-4598	101	46	h(t	h(t	PROPN
ap-4598	101	47	)	)	PUNCT
ap-4598	101	48	=	=	SYM
ap-4598	102	1	2w(t)k0	2w(t)k0	NUM
ap-4598	102	2	+	+	CCONJ
ap-4598	102	3	2q(t)k−	2q(t)k−	NUM
ap-4598	102	4	+	+	CCONJ
ap-4598	102	5	2y(t)k+	2y(t)k+	NOUN
ap-4598	102	6	,	,	PUNCT
ap-4598	102	7	(	(	PUNCT
ap-4598	102	8	23	23	NUM
ap-4598	102	9	)	)	PUNCT
ap-4598	102	10	where	where	SCONJ
ap-4598	102	11	the	the	DET
ap-4598	102	12	coefficient	coefficient	NOUN
ap-4598	102	13	functions	function	NOUN
ap-4598	102	14	are	be	AUX
ap-4598	102	15	w(t	w(t	PROPN
ap-4598	102	16	)	)	PUNCT
ap-4598	102	17	=	=	SYM
ap-4598	102	18	1	1	NUM
ap-4598	102	19	ϑ0	ϑ0	NOUN
ap-4598	102	20	(	(	PUNCT
ap-4598	102	21	ω	ω	PROPN
ap-4598	102	22	(	(	PUNCT
ap-4598	102	23	d	d	PROPN
ap-4598	102	24	2	2	NUM
ap-4598	102	25	ϑ+ϑ−	ϑ+ϑ−	NOUN
ap-4598	102	26	−	−	PROPN
ap-4598	102	27	χ	χ	NOUN
ap-4598	102	28	)	)	PUNCT
ap-4598	103	1	+	+	ADP
ap-4598	103	2	d(ϑ+α+	d(ϑ+α+	NOUN
ap-4598	103	3	ϑ−βχ	ϑ−βχ	NOUN
ap-4598	103	4	)	)	PUNCT
ap-4598	104	1	+	+	CCONJ
ap-4598	104	2	i	i	PRON
ap-4598	104	3	2(ϑ̇0	2(ϑ̇0	NUM
ap-4598	104	4	+	+	NOUN
ap-4598	104	5	dϑ+ϑ̇−	dϑ+ϑ̇−	NOUN
ap-4598	104	6	)	)	PUNCT
ap-4598	104	7	)	)	PUNCT
ap-4598	104	8	,	,	PUNCT
ap-4598	104	9	(	(	PUNCT
ap-4598	104	10	24	24	NUM
ap-4598	104	11	)	)	PUNCT
ap-4598	104	12	q(t	q(t	PROPN
ap-4598	104	13	)	)	PUNCT
ap-4598	104	14	=	=	SYM
ap-4598	104	15	1	1	NUM
ap-4598	104	16	ϑ0	ϑ0	NOUN
ap-4598	104	17	(	(	PUNCT
ap-4598	104	18	ωϑ−	ωϑ−	PUNCT
ap-4598	104	19	+	+	CCONJ
ap-4598	105	1	α−	α−	ADP
ap-4598	105	2	d	d	NOUN
ap-4598	105	3	2	2	NUM
ap-4598	105	4	βϑ	βϑ	SYM
ap-4598	105	5	2	2	NUM
ap-4598	105	6	−	−	NOUN
ap-4598	106	1	+	+	CCONJ
ap-4598	106	2	i	i	PRON
ap-4598	106	3	ϑ̇−	ϑ̇−	PROPN
ap-4598	106	4	2	2	NUM
ap-4598	106	5	)	)	PUNCT
ap-4598	106	6	,	,	PUNCT
ap-4598	106	7	(	(	PUNCT
ap-4598	106	8	25	25	NUM
ap-4598	106	9	)	)	PUNCT
ap-4598	106	10	y(t	y(t	NUM
ap-4598	106	11	)	)	PUNCT
ap-4598	106	12	=	=	SYM
ap-4598	107	1	1	1	NUM
ap-4598	107	2	ϑ0	ϑ0	NOUN
ap-4598	107	3	(	(	PUNCT
ap-4598	107	4	ωχϑ+	ωχϑ+	NUM
ap-4598	107	5	−	−	NOUN
ap-4598	107	6	d	d	SYM
ap-4598	107	7	2	2	NUM
ap-4598	107	8	αϑ	αϑ	ADP
ap-4598	107	9	2	2	NUM
ap-4598	107	10	+	+	CCONJ
ap-4598	107	11	+	+	NUM
ap-4598	107	12	βχ2	βχ2	PROPN
ap-4598	107	13	+	+	NUM
ap-4598	107	14	i	i	NOUN
ap-4598	107	15	2	2	NUM
ap-4598	107	16	(	(	PUNCT
ap-4598	107	17	ϑ0ϑ̇+	ϑ0ϑ̇+	PROPN
ap-4598	107	18	−	−	PROPN
ap-4598	107	19	ϑ+ϑ̇0	ϑ+ϑ̇0	PROPN
ap-4598	107	20	−	−	PROPN
ap-4598	107	21	d	d	SYM
ap-4598	107	22	2	2	NUM
ap-4598	107	23	ϑ	ϑ	SYM
ap-4598	107	24	2	2	NUM
ap-4598	107	25	+	+	NUM
ap-4598	107	26	ϑ̇−	ϑ̇−	X
ap-4598	107	27	)	)	PUNCT
ap-4598	107	28	)	)	PUNCT
ap-4598	107	29	.	.	PUNCT
ap-4598	108	1	(	(	PUNCT
ap-4598	108	2	26	26	NUM
ap-4598	108	3	)	)	PUNCT
ap-4598	108	4	the	the	DET
ap-4598	108	5	evolution	evolution	NOUN
ap-4598	108	6	equation	equation	NOUN
ap-4598	108	7	(	(	PUNCT
ap-4598	108	8	4	4	NUM
ap-4598	108	9	)	)	PUNCT
ap-4598	108	10	under	under	ADP
ap-4598	108	11	h(t	h(t	NUM
ap-4598	108	12	)	)	PUNCT
ap-4598	108	13	can	can	AUX
ap-4598	108	14	readily	readily	ADV
ap-4598	108	15	be	be	AUX
ap-4598	108	16	solved	solve	VERB
ap-4598	108	17	if	if	SCONJ
ap-4598	108	18	we	we	PRON
ap-4598	108	19	make	make	VERB
ap-4598	108	20	a	a	DET
ap-4598	108	21	proper	proper	ADJ
ap-4598	108	22	choice	choice	NOUN
ap-4598	108	23	for	for	ADP
ap-4598	108	24	the	the	DET
ap-4598	108	25	non	non	ADJ
ap-4598	108	26	-	-	ADJ
ap-4598	108	27	unitary	unitary	ADJ
ap-4598	108	28	operator	operator	NOUN
ap-4598	108	29	v	v	NOUN
ap-4598	108	30	(	(	PUNCT
ap-4598	108	31	t	t	PROPN
ap-4598	108	32	)	)	PUNCT
ap-4598	108	33	.	.	PUNCT
ap-4598	109	1	in	in	ADP
ap-4598	109	2	this	this	DET
ap-4598	109	3	way	way	NOUN
ap-4598	109	4	,	,	PUNCT
ap-4598	109	5	we	we	PRON
ap-4598	109	6	are	be	AUX
ap-4598	109	7	seeking	seek	VERB
ap-4598	109	8	a	a	DET
ap-4598	109	9	representation	representation	NOUN
ap-4598	109	10	in	in	ADP
ap-4598	109	11	which	which	PRON
ap-4598	109	12	the	the	DET
ap-4598	109	13	associated	associated	ADJ
ap-4598	109	14	evolution	evolution	NOUN
ap-4598	109	15	equation	equation	NOUN
ap-4598	109	16	can	can	AUX
ap-4598	109	17	be	be	AUX
ap-4598	109	18	solved	solve	VERB
ap-4598	109	19	easily	easily	ADV
ap-4598	109	20	.	.	PUNCT
ap-4598	110	1	this	this	PRON
ap-4598	110	2	is	be	AUX
ap-4598	110	3	done	do	VERB
ap-4598	110	4	by	by	ADP
ap-4598	110	5	employing	employ	VERB
ap-4598	110	6	the	the	DET
ap-4598	110	7	following	follow	VERB
ap-4598	110	8	criterion	criterion	NOUN
ap-4598	110	9	:	:	PUNCT
ap-4598	110	10	h(t	h(t	X
ap-4598	110	11	)	)	PUNCT
ap-4598	110	12	in	in	ADP
ap-4598	110	13	(	(	PUNCT
ap-4598	110	14	23	23	NUM
ap-4598	110	15	)	)	PUNCT
ap-4598	110	16	is	be	AUX
ap-4598	110	17	required	require	VERB
ap-4598	110	18	to	to	PART
ap-4598	110	19	be	be	AUX
ap-4598	110	20	diagonal	diagonal	ADJ
ap-4598	110	21	in	in	ADP
ap-4598	110	22	the	the	DET
ap-4598	110	23	eigenbasis	eigenbasis	NOUN
ap-4598	110	24	{	{	PUNCT
ap-4598	110	25	|ζn	|ζn	NUM
ap-4598	110	26	〉	〉	NOUN
ap-4598	110	27	}	}	PUNCT
ap-4598	110	28	of	of	ADP
ap-4598	110	29	k0	k0	PROPN
ap-4598	110	30	.	.	PUNCT
ap-4598	111	1	the	the	DET
ap-4598	111	2	above	above	ADJ
ap-4598	111	3	requirement	requirement	NOUN
ap-4598	111	4	can	can	AUX
ap-4598	111	5	be	be	AUX
ap-4598	111	6	achieved	achieve	VERB
ap-4598	111	7	if	if	SCONJ
ap-4598	111	8	and	and	CCONJ
ap-4598	111	9	only	only	ADV
ap-4598	111	10	if	if	SCONJ
ap-4598	111	11	the	the	DET
ap-4598	111	12	inner	inner	ADJ
ap-4598	111	13	product	product	NOUN
ap-4598	111	14	between	between	ADP
ap-4598	111	15	the	the	DET
ap-4598	111	16	associated	associated	ADJ
ap-4598	111	17	states	state	NOUN
ap-4598	111	18	|φn(t	|φn(t	NUM
ap-4598	111	19	)	)	PUNCT
ap-4598	111	20	〉	〉	PROPN
ap-4598	111	21	is	be	AUX
ap-4598	111	22	preserved	preserve	VERB
ap-4598	111	23	,	,	PUNCT
ap-4598	111	24	which	which	PRON
ap-4598	111	25	is	be	AUX
ap-4598	111	26	achieved	achieve	VERB
ap-4598	111	27	by	by	ADP
ap-4598	111	28	imposing	impose	VERB
ap-4598	111	29	q(t	q(t	PROPN
ap-4598	111	30	)	)	PUNCT
ap-4598	111	31	=	=	SYM
ap-4598	111	32	0	0	NUM
ap-4598	111	33	,	,	PUNCT
ap-4598	111	34	y(t	y(t	NUM
ap-4598	111	35	)	)	PUNCT
ap-4598	112	1	=	=	SYM
ap-4598	112	2	0	0	NUM
ap-4598	112	3	and	and	CCONJ
ap-4598	112	4	imw(t	imw(t	NUM
ap-4598	112	5	)	)	PUNCT
ap-4598	112	6	=	=	SYM
ap-4598	112	7	0	0	X
ap-4598	112	8	.	.	PUNCT
ap-4598	113	1	these	these	DET
ap-4598	113	2	conditions	condition	NOUN
ap-4598	113	3	lead	lead	VERB
ap-4598	113	4	,	,	PUNCT
ap-4598	113	5	by	by	ADP
ap-4598	113	6	using	use	VERB
ap-4598	113	7	(	(	PUNCT
ap-4598	113	8	18	18	NUM
ap-4598	113	9	)	)	PUNCT
ap-4598	113	10	and	and	CCONJ
ap-4598	113	11	after	after	ADP
ap-4598	113	12	some	some	DET
ap-4598	113	13	algebra	algebra	NOUN
ap-4598	113	14	,	,	PUNCT
ap-4598	113	15	to	to	ADP
ap-4598	113	16	the	the	DET
ap-4598	113	17	following	follow	VERB
ap-4598	113	18	constraints	constraint	NOUN
ap-4598	113	19	ϕ̇	ϕ̇	NOUN
ap-4598	113	20	=	=	PUNCT
ap-4598	113	21	2|ω|	2|ω|	NUM
ap-4598	113	22	cosϕω	cosϕω	NOUN
ap-4598	113	23	−	−	PROPN
ap-4598	113	24	2	2	NUM
ap-4598	113	25	|α|	|α|	PROPN
ap-4598	113	26	φ	φ	NOUN
ap-4598	113	27	cos(ϕα	cos(ϕα	NOUN
ap-4598	113	28	−	−	PROPN
ap-4598	113	29	ϕ	ϕ	NOUN
ap-4598	113	30	)	)	PUNCT
ap-4598	113	31	+	+	NOUN
ap-4598	113	32	dφ|β|	dφ|β|	NOUN
ap-4598	113	33	cos(ϕ+	cos(ϕ+	PROPN
ap-4598	113	34	ϕβ	ϕβ	PROPN
ap-4598	113	35	)	)	PUNCT
ap-4598	113	36	,	,	PUNCT
ap-4598	113	37	(	(	PUNCT
ap-4598	113	38	27	27	NUM
ap-4598	113	39	)	)	PUNCT
ap-4598	113	40	φ̇	φ̇	NOUN
ap-4598	114	1	=	=	PUNCT
ap-4598	114	2	−2φ|ω|	−2φ|ω|	NOUN
ap-4598	114	3	sinϕω	sinϕω	VERB
ap-4598	114	4	+	+	CCONJ
ap-4598	114	5	2|α|	2|α|	NUM
ap-4598	114	6	sin(ϕα	sin(ϕα	NOUN
ap-4598	114	7	−	−	X
ap-4598	114	8	ϕ)−dφ2|β|	ϕ)−dφ2|β|	NUM
ap-4598	114	9	sin(ϕ+	sin(ϕ+	PROPN
ap-4598	114	10	ϕβ	ϕβ	PROPN
ap-4598	114	11	)	)	PUNCT
ap-4598	114	12	,	,	PUNCT
ap-4598	114	13	(	(	PUNCT
ap-4598	114	14	28	28	X
ap-4598	114	15	)	)	PUNCT
ap-4598	114	16	ϑ̇0	ϑ̇0	PROPN
ap-4598	114	17	=	=	SYM
ap-4598	114	18	2ϑ0	2ϑ0	NUM
ap-4598	114	19	φ	φ	NOUN
ap-4598	114	20	(	(	PUNCT
ap-4598	114	21	−2φ|ω|	−2φ|ω|	PROPN
ap-4598	114	22	sinϕω	sinϕω	VERB
ap-4598	114	23	+	+	CCONJ
ap-4598	114	24	|α|	|α|	PROPN
ap-4598	114	25	sin(ϕα	sin(ϕα	VERB
ap-4598	114	26	−	−	PROPN
ap-4598	114	27	ϕ	ϕ	NOUN
ap-4598	114	28	)	)	PUNCT
ap-4598	114	29	+	+	CCONJ
ap-4598	114	30	(	(	PUNCT
ap-4598	114	31	χ−dφ2)|β|	χ−dφ2)|β|	PROPN
ap-4598	114	32	sin(ϕ+	sin(ϕ+	PROPN
ap-4598	114	33	ϕβ	ϕβ	PROPN
ap-4598	114	34	)	)	PUNCT
ap-4598	114	35	)	)	PUNCT
ap-4598	114	36	,	,	PUNCT
ap-4598	114	37	(	(	PUNCT
ap-4598	114	38	29	29	NUM
ap-4598	114	39	)	)	PUNCT
ap-4598	114	40	by	by	ADP
ap-4598	114	41	which	which	PRON
ap-4598	114	42	ϑ−	ϑ−	PROPN
ap-4598	114	43	,	,	PUNCT
ap-4598	114	44	ϑ+	ϑ+	NOUN
ap-4598	114	45	and	and	CCONJ
ap-4598	114	46	ϑ0	ϑ0	NOUN
ap-4598	114	47	are	be	AUX
ap-4598	114	48	detemined	detemine	VERB
ap-4598	114	49	for	for	ADP
ap-4598	114	50	given	give	VERB
ap-4598	114	51	values	value	NOUN
ap-4598	114	52	of	of	ADP
ap-4598	114	53	ω(t	ω(t	NOUN
ap-4598	114	54	)	)	PUNCT
ap-4598	114	55	,	,	PUNCT
ap-4598	114	56	α(t	α(t	PROPN
ap-4598	114	57	)	)	PUNCT
ap-4598	114	58	and	and	CCONJ
ap-4598	114	59	β(t	β(t	PROPN
ap-4598	114	60	)	)	PUNCT
ap-4598	114	61	.	.	PUNCT
ap-4598	115	1	it	it	PRON
ap-4598	115	2	is	be	AUX
ap-4598	115	3	important	important	ADJ
ap-4598	115	4	to	to	PART
ap-4598	115	5	note	note	VERB
ap-4598	115	6	here	here	ADV
ap-4598	115	7	that	that	SCONJ
ap-4598	115	8	when	when	SCONJ
ap-4598	115	9	considering	consider	VERB
ap-4598	115	10	the	the	DET
ap-4598	115	11	time	time	NOUN
ap-4598	115	12	-	-	PUNCT
ap-4598	115	13	dependent	dependent	ADJ
ap-4598	115	14	coefficient	coefficient	NOUN
ap-4598	115	15	µ	µ	X
ap-4598	115	16	to	to	PART
ap-4598	115	17	be	be	AUX
ap-4598	115	18	real	real	ADJ
ap-4598	115	19	function	function	NOUN
ap-4598	115	20	instead	instead	ADV
ap-4598	115	21	of	of	ADP
ap-4598	115	22	complex	complex	ADJ
ap-4598	115	23	one	one	NUM
ap-4598	115	24	,	,	PUNCT
ap-4598	115	25	i.e.	i.e.	X
ap-4598	115	26	,	,	PUNCT
ap-4598	115	27	the	the	DET
ap-4598	115	28	polar	polar	ADJ
ap-4598	115	29	angles	angle	VERB
ap-4598	115	30	ϕ	ϕ	NOUN
ap-4598	115	31	vanish	vanish	NOUN
ap-4598	115	32	,	,	PUNCT
ap-4598	115	33	the	the	DET
ap-4598	115	34	auxiliary	auxiliary	ADJ
ap-4598	115	35	equations	equation	NOUN
ap-4598	115	36	(	(	PUNCT
ap-4598	115	37	27)–(29	27)–(29	NUM
ap-4598	115	38	)	)	PUNCT
ap-4598	115	39	that	that	PRON
ap-4598	115	40	appear	appear	VERB
ap-4598	115	41	automatically	automatically	ADV
ap-4598	115	42	in	in	ADP
ap-4598	115	43	this	this	DET
ap-4598	115	44	process	process	NOUN
ap-4598	115	45	are	be	AUX
ap-4598	115	46	identical	identical	ADJ
ap-4598	115	47	to	to	ADP
ap-4598	115	48	equations	equation	NOUN
ap-4598	115	49	(	(	PUNCT
ap-4598	115	50	28)-(30	28)-(30	NUM
ap-4598	115	51	)	)	PUNCT
ap-4598	115	52	for	for	ADP
ap-4598	115	53	maamache	maamache	PROPN
ap-4598	115	54	et	et	PROPN
ap-4598	115	55	al	al	PROPN
ap-4598	116	1	[	[	X
ap-4598	116	2	35	35	NUM
ap-4598	116	3	]	]	PUNCT
ap-4598	116	4	who	who	PRON
ap-4598	116	5	used	use	VERB
ap-4598	116	6	the	the	DET
ap-4598	116	7	general	general	ADJ
ap-4598	116	8	method	method	NOUN
ap-4598	116	9	of	of	ADP
ap-4598	116	10	lewis	lewis	PROPN
ap-4598	116	11	and	and	CCONJ
ap-4598	116	12	riesenfield	riesenfield	VERB
ap-4598	116	13	to	to	PART
ap-4598	116	14	derive	derive	VERB
ap-4598	116	15	them	they	PRON
ap-4598	116	16	.	.	PUNCT
ap-4598	117	1	then	then	ADV
ap-4598	117	2	the	the	DET
ap-4598	117	3	transformed	transform	VERB
ap-4598	117	4	hamiltonian	hamiltonian	PROPN
ap-4598	117	5	h(t	h(t	PROPN
ap-4598	117	6	)	)	PUNCT
ap-4598	117	7	becomes	become	VERB
ap-4598	117	8	h(t	h(t	PROPN
ap-4598	117	9	)	)	PUNCT
ap-4598	117	10	=	=	SYM
ap-4598	117	11	2	2	NUM
ap-4598	117	12	re(w(t))k0	re(w(t))k0	NOUN
ap-4598	117	13	re(w(t	re(w(t	NOUN
ap-4598	117	14	)	)	PUNCT
ap-4598	117	15	)	)	PUNCT
ap-4598	118	1	=	=	PUNCT
ap-4598	118	2	(	(	PUNCT
ap-4598	118	3	|ω|	|ω|	ADP
ap-4598	118	4	cosϕω	cosϕω	NOUN
ap-4598	118	5	+	+	PROPN
ap-4598	118	6	dφ|β|	dφ|β|	ADJ
ap-4598	118	7	cos(ϕ+	cos(ϕ+	NOUN
ap-4598	118	8	ϕβ	ϕβ	PROPN
ap-4598	118	9	)	)	PUNCT
ap-4598	118	10	)	)	PUNCT
ap-4598	118	11	.	.	PUNCT
ap-4598	119	1	(	(	PUNCT
ap-4598	119	2	30	30	NUM
ap-4598	119	3	)	)	PUNCT
ap-4598	119	4	the	the	DET
ap-4598	119	5	implication	implication	NOUN
ap-4598	119	6	of	of	ADP
ap-4598	119	7	the	the	DET
ap-4598	119	8	results	result	NOUN
ap-4598	119	9	is	be	AUX
ap-4598	119	10	clear	clear	ADJ
ap-4598	119	11	.	.	PUNCT
ap-4598	120	1	the	the	DET
ap-4598	120	2	original	original	ADJ
ap-4598	120	3	time	time	NOUN
ap-4598	120	4	-	-	PUNCT
ap-4598	120	5	dependent	dependent	ADJ
ap-4598	120	6	quantum	quantum	ADJ
ap-4598	120	7	-	-	ADJ
ap-4598	120	8	mechanical	mechanical	ADJ
ap-4598	120	9	problem	problem	NOUN
ap-4598	120	10	posed	pose	VERB
ap-4598	120	11	through	through	ADP
ap-4598	120	12	the	the	DET
ap-4598	120	13	hamiltonian	hamiltonian	NOUN
ap-4598	120	14	(	(	PUNCT
ap-4598	120	15	12	12	NUM
ap-4598	120	16	)	)	PUNCT
ap-4598	120	17	is	be	AUX
ap-4598	120	18	completely	completely	ADV
ap-4598	120	19	solved	solve	VERB
ap-4598	120	20	if	if	SCONJ
ap-4598	120	21	the	the	DET
ap-4598	120	22	wave	wave	NOUN
ap-4598	120	23	function	function	VERB
ap-4598	120	24	for	for	ADP
ap-4598	120	25	the	the	DET
ap-4598	120	26	related	relate	VERB
ap-4598	120	27	transformed	transform	VERB
ap-4598	120	28	hamiltonian	hamiltonian	ADJ
ap-4598	120	29	h(t	h(t	PROPN
ap-4598	120	30	)	)	PUNCT
ap-4598	120	31	defined	define	VERB
ap-4598	120	32	in	in	ADP
ap-4598	120	33	(	(	PUNCT
ap-4598	120	34	8)	8)	NUM
ap-4598	120	35	is	be	AUX
ap-4598	120	36	obtained	obtain	VERB
ap-4598	120	37	.	.	PUNCT
ap-4598	121	1	the	the	DET
ap-4598	121	2	exact	exact	ADJ
ap-4598	121	3	solution	solution	NOUN
ap-4598	121	4	of	of	ADP
ap-4598	121	5	the	the	DET
ap-4598	121	6	original	original	ADJ
ap-4598	121	7	equation	equation	NOUN
ap-4598	121	8	(	(	PUNCT
ap-4598	121	9	2	2	X
ap-4598	121	10	)	)	PUNCT
ap-4598	121	11	can	can	AUX
ap-4598	121	12	now	now	ADV
ap-4598	121	13	be	be	AUX
ap-4598	121	14	found	find	VERB
ap-4598	121	15	by	by	ADP
ap-4598	121	16	combining	combine	VERB
ap-4598	121	17	the	the	DET
ap-4598	121	18	above	above	ADJ
ap-4598	121	19	results	result	NOUN
ap-4598	121	20	.	.	PUNCT
ap-4598	122	1	we	we	PRON
ap-4598	122	2	finally	finally	ADV
ap-4598	122	3	obtain	obtain	VERB
ap-4598	122	4	|ψn(t	|ψn(t	NOUN
ap-4598	122	5	)	)	PUNCT
ap-4598	122	6	〉	〉	NOUN
ap-4598	122	7	=	=	SYM
ap-4598	122	8	exp	exp	NOUN
ap-4598	122	9	(	(	PUNCT
ap-4598	122	10	iλn	iλn	PROPN
ap-4598	122	11	∫	∫	PROPN
ap-4598	122	12	t	t	NOUN
ap-4598	122	13	0	0	NUM
ap-4598	122	14	2	2	NUM
ap-4598	122	15	(	(	PUNCT
ap-4598	122	16	|ω|	|ω|	VERB
ap-4598	122	17	cosϕω	cosϕω	NOUN
ap-4598	122	18	+	+	PROPN
ap-4598	122	19	dφ|β|	dφ|β|	ADJ
ap-4598	122	20	cos(ϕ+	cos(ϕ+	NOUN
ap-4598	122	21	ϕβ	ϕβ	PROPN
ap-4598	122	22	)	)	PUNCT
ap-4598	122	23	)	)	PUNCT
ap-4598	123	1	dt′	dt′	NOUN
ap-4598	123	2	)	)	PUNCT
ap-4598	123	3	v	v	ADP
ap-4598	123	4	−1(t)|ζn	−1(t)|ζn	PROPN
ap-4598	123	5	〉	〉	PROPN
ap-4598	123	6	.	.	PUNCT
ap-4598	124	1	(	(	PUNCT
ap-4598	124	2	31	31	NUM
ap-4598	124	3	)	)	PUNCT
ap-4598	124	4	now	now	ADV
ap-4598	124	5	,	,	PUNCT
ap-4598	124	6	we	we	PRON
ap-4598	124	7	consider	consider	VERB
ap-4598	124	8	the	the	DET
ap-4598	124	9	su(1	su(1	NOUN
ap-4598	124	10	,	,	PUNCT
ap-4598	124	11	1	1	NUM
ap-4598	124	12	)	)	PUNCT
ap-4598	124	13	case	case	NOUN
ap-4598	124	14	first	first	ADV
ap-4598	124	15	where	where	SCONJ
ap-4598	124	16	d	d	NOUN
ap-4598	124	17	=	=	SYM
ap-4598	124	18	−2	−2	PROPN
ap-4598	124	19	.	.	PUNCT
ap-4598	125	1	the	the	DET
ap-4598	125	2	su(1	su(1	NOUN
ap-4598	125	3	,	,	PUNCT
ap-4598	125	4	1	1	NUM
ap-4598	125	5	)	)	PUNCT
ap-4598	125	6	lie	lie	NOUN
ap-4598	125	7	algebra	algebra	NOUN
ap-4598	125	8	has	have	VERB
ap-4598	125	9	a	a	DET
ap-4598	125	10	realization	realization	NOUN
ap-4598	125	11	in	in	ADP
ap-4598	125	12	terms	term	NOUN
ap-4598	125	13	of	of	ADP
ap-4598	125	14	boson	boson	NOUN
ap-4598	125	15	creation	creation	NOUN
ap-4598	125	16	and	and	CCONJ
ap-4598	125	17	annihilation	annihilation	NOUN
ap-4598	125	18	operators	operator	NOUN
ap-4598	125	19	a+	a+	PUNCT
ap-4598	125	20	and	and	CCONJ
ap-4598	125	21	a	a	DET
ap-4598	125	22	such	such	ADJ
ap-4598	125	23	that	that	DET
ap-4598	125	24	k0	k0	PROPN
ap-4598	125	25	=	=	PROPN
ap-4598	125	26	1	1	NUM
ap-4598	125	27	2	2	NUM
ap-4598	125	28	(	(	PUNCT
ap-4598	125	29	a+a+	a+a+	NOUN
ap-4598	125	30	1	1	NUM
ap-4598	125	31	2	2	NUM
ap-4598	125	32	)	)	PUNCT
ap-4598	125	33	,	,	PUNCT
ap-4598	125	34	k−	k−	NOUN
ap-4598	125	35	=	=	NOUN
ap-4598	125	36	1	1	NUM
ap-4598	125	37	2a	2a	NUM
ap-4598	125	38	2	2	NUM
ap-4598	125	39	,	,	PUNCT
ap-4598	125	40	k+	k+	NOUN
ap-4598	125	41	=	=	SYM
ap-4598	125	42	1	1	NUM
ap-4598	125	43	2a	2a	NUM
ap-4598	125	44	+2	+2	PROPN
ap-4598	125	45	.	.	PUNCT
ap-4598	126	1	(	(	PUNCT
ap-4598	126	2	32	32	NUM
ap-4598	126	3	)	)	PUNCT
ap-4598	126	4	427	427	NUM
ap-4598	126	5	mustapha	mustapha	PROPN
ap-4598	126	6	maamache	maamache	PROPN
ap-4598	126	7	acta	acta	PROPN
ap-4598	126	8	polytechnica	polytechnica	PROPN
ap-4598	126	9	then	then	ADV
ap-4598	126	10	,	,	PUNCT
ap-4598	126	11	the	the	DET
ap-4598	126	12	hamiltonian	hamiltonian	NOUN
ap-4598	126	13	(	(	PUNCT
ap-4598	126	14	12	12	NUM
ap-4598	126	15	)	)	PUNCT
ap-4598	126	16	describes	describe	VERB
ap-4598	126	17	the	the	DET
ap-4598	126	18	generalized	generalized	ADJ
ap-4598	126	19	time	time	NOUN
ap-4598	126	20	dependent	dependent	ADJ
ap-4598	126	21	sawson	sawson	NOUN
ap-4598	126	22	hamiltonian	hamiltonian	NOUN
ap-4598	127	1	[	[	X
ap-4598	127	2	29	29	NUM
ap-4598	127	3	]	]	PUNCT
ap-4598	127	4	.	.	PUNCT
ap-4598	128	1	if	if	SCONJ
ap-4598	128	2	ω(t	ω(t	NOUN
ap-4598	128	3	)	)	PUNCT
ap-4598	128	4	,	,	PUNCT
ap-4598	128	5	α(t	α(t	PROPN
ap-4598	128	6	)	)	PUNCT
ap-4598	128	7	and	and	CCONJ
ap-4598	128	8	β(t	β(t	PROPN
ap-4598	128	9	)	)	PUNCT
ap-4598	128	10	are	be	AUX
ap-4598	128	11	reals	real	NOUN
ap-4598	128	12	constant	constant	ADJ
ap-4598	128	13	,	,	PUNCT
ap-4598	128	14	this	this	DET
ap-4598	128	15	hamiltonian	hamiltonian	NOUN
ap-4598	128	16	has	have	AUX
ap-4598	128	17	been	be	AUX
ap-4598	128	18	studied	study	VERB
ap-4598	128	19	extensively	extensively	ADV
ap-4598	128	20	in	in	ADP
ap-4598	128	21	the	the	DET
ap-4598	128	22	literature	literature	NOUN
ap-4598	128	23	by	by	ADP
ap-4598	128	24	several	several	ADJ
ap-4598	128	25	authors	author	NOUN
ap-4598	128	26	,	,	PUNCT
ap-4598	128	27	for	for	ADP
ap-4598	128	28	instance	instance	NOUN
ap-4598	128	29	[	[	X
ap-4598	128	30	39–46	39–46	NUM
ap-4598	128	31	]	]	PUNCT
ap-4598	128	32	.	.	PUNCT
ap-4598	129	1	substitution	substitution	NOUN
ap-4598	129	2	of	of	ADP
ap-4598	129	3	d	d	PROPN
ap-4598	129	4	=	=	SYM
ap-4598	129	5	−2	−2	NOUN
ap-4598	129	6	,	,	PUNCT
ap-4598	129	7	and	and	CCONJ
ap-4598	129	8	λn	λn	X
ap-4598	129	9	=	=	SYM
ap-4598	129	10	1	1	NUM
ap-4598	129	11	2	2	NUM
ap-4598	129	12	(	(	PUNCT
ap-4598	129	13	n+	n+	NUM
ap-4598	129	14	1	1	NUM
ap-4598	129	15	2	2	NUM
ap-4598	129	16	)	)	PUNCT
ap-4598	129	17	into	into	ADP
ap-4598	129	18	(	(	PUNCT
ap-4598	129	19	31	31	NUM
ap-4598	129	20	)	)	PUNCT
ap-4598	129	21	yields	yield	NOUN
ap-4598	129	22	|ψn(t	|ψn(t	NOUN
ap-4598	129	23	)	)	PUNCT
ap-4598	129	24	〉	〉	NOUN
ap-4598	129	25	=	=	SYM
ap-4598	129	26	exp	exp	NOUN
ap-4598	129	27	(	(	PUNCT
ap-4598	129	28	i	i	PRON
ap-4598	129	29	(	(	PUNCT
ap-4598	129	30	n+	n+	NUM
ap-4598	129	31	1	1	NUM
ap-4598	129	32	2	2	NUM
ap-4598	129	33	)	)	PUNCT
ap-4598	130	1	∫	∫	PROPN
ap-4598	130	2	t	t	PROPN
ap-4598	130	3	0	0	NUM
ap-4598	131	1	(	(	PUNCT
ap-4598	131	2	|ω|	|ω|	VERB
ap-4598	131	3	cosϕω	cosϕω	NOUN
ap-4598	131	4	−	−	NUM
ap-4598	131	5	2φ|β|	2φ|β|	NUM
ap-4598	131	6	cos(ϕ+	cos(ϕ+	PROPN
ap-4598	131	7	ϕβ	ϕβ	NOUN
ap-4598	131	8	)	)	PUNCT
ap-4598	131	9	)	)	PUNCT
ap-4598	132	1	dt′	dt′	NOUN
ap-4598	132	2	)	)	PUNCT
ap-4598	132	3	v	v	ADP
ap-4598	132	4	−1(t)|n	−1(t)|n	PROPN
ap-4598	132	5	〉	〉	NUM
ap-4598	132	6	,	,	PUNCT
ap-4598	132	7	(	(	PUNCT
ap-4598	132	8	33	33	NUM
ap-4598	132	9	)	)	PUNCT
ap-4598	132	10	where	where	SCONJ
ap-4598	132	11	|ζn	|ζn	X
ap-4598	132	12	〉	〉	NOUN
ap-4598	132	13	=	=	SYM
ap-4598	132	14	|n	|n	NOUN
ap-4598	132	15	〉	〉	NOUN
ap-4598	132	16	are	be	AUX
ap-4598	132	17	the	the	DET
ap-4598	132	18	eigenvectors	eigenvector	NOUN
ap-4598	132	19	of	of	ADP
ap-4598	132	20	k0	k0	PROPN
ap-4598	132	21	.	.	PUNCT
ap-4598	133	1	for	for	ADP
ap-4598	133	2	d	d	PROPN
ap-4598	133	3	=	=	SYM
ap-4598	133	4	2	2	NUM
ap-4598	133	5	,	,	PUNCT
ap-4598	133	6	hamiltonian	hamiltonian	NOUN
ap-4598	133	7	(	(	PUNCT
ap-4598	133	8	12	12	NUM
ap-4598	133	9	)	)	PUNCT
ap-4598	133	10	possesses	possess	VERB
ap-4598	133	11	the	the	DET
ap-4598	133	12	symmetry	symmetry	NOUN
ap-4598	133	13	of	of	ADP
ap-4598	133	14	the	the	DET
ap-4598	133	15	dynamical	dynamical	ADJ
ap-4598	133	16	group	group	NOUN
ap-4598	133	17	su(2	su(2	NOUN
ap-4598	133	18	)	)	PUNCT
ap-4598	133	19	.	.	PUNCT
ap-4598	134	1	a	a	DET
ap-4598	134	2	spin	spin	NOUN
ap-4598	134	3	in	in	ADP
ap-4598	134	4	a	a	DET
ap-4598	134	5	complex	complex	ADJ
ap-4598	134	6	time	time	NOUN
ap-4598	134	7	-	-	PUNCT
ap-4598	134	8	varying	vary	VERB
ap-4598	134	9	magnetic	magnetic	ADJ
ap-4598	134	10	field	field	NOUN
ap-4598	134	11	is	be	AUX
ap-4598	134	12	a	a	DET
ap-4598	134	13	practical	practical	ADJ
ap-4598	134	14	example	example	NOUN
ap-4598	134	15	in	in	ADP
ap-4598	134	16	this	this	DET
ap-4598	134	17	case	case	NOUN
ap-4598	134	18	[	[	X
ap-4598	134	19	47–53	47–53	NUM
ap-4598	134	20	]	]	PUNCT
ap-4598	134	21	.	.	PUNCT
ap-4598	135	1	let	let	VERB
ap-4598	135	2	k0	k0	PROPN
ap-4598	135	3	=	=	PROPN
ap-4598	135	4	jz	jz	PROPN
ap-4598	135	5	and	and	CCONJ
ap-4598	135	6	k∓	k∓	PROPN
ap-4598	135	7	=	=	PUNCT
ap-4598	136	1	j∓.	j∓.	PROPN
ap-4598	136	2	|ζn	|ζn	NUM
ap-4598	136	3	〉	〉	NOUN
ap-4598	136	4	=	=	SYM
ap-4598	136	5	|j	|j	PROPN
ap-4598	136	6	,	,	PUNCT
ap-4598	136	7	n	n	CCONJ
ap-4598	136	8	〉	〉	NOUN
ap-4598	136	9	are	be	AUX
ap-4598	136	10	the	the	DET
ap-4598	136	11	eigenvectors	eigenvector	NOUN
ap-4598	136	12	of	of	ADP
ap-4598	136	13	jz	jz	PROPN
ap-4598	136	14	,	,	PUNCT
ap-4598	136	15	i.e.	i.e.	X
ap-4598	136	16	,	,	PUNCT
ap-4598	136	17	jz	jz	PROPN
ap-4598	136	18	|j	|j	PROPN
ap-4598	136	19	,	,	PUNCT
ap-4598	136	20	n	n	CCONJ
ap-4598	136	21	〉	〉	NOUN
ap-4598	136	22	=	=	SYM
ap-4598	136	23	n|j	n|j	PROPN
ap-4598	136	24	,	,	PUNCT
ap-4598	136	25	n	n	CCONJ
ap-4598	136	26	〉	〉	PROPN
ap-4598	136	27	.	.	PUNCT
ap-4598	137	1	the	the	DET
ap-4598	137	2	next	next	ADJ
ap-4598	137	3	step	step	NOUN
ap-4598	137	4	is	be	AUX
ap-4598	137	5	the	the	DET
ap-4598	137	6	calculation	calculation	NOUN
ap-4598	137	7	of	of	ADP
ap-4598	137	8	the	the	DET
ap-4598	137	9	solutions	solution	NOUN
ap-4598	137	10	(	(	PUNCT
ap-4598	137	11	31	31	NUM
ap-4598	137	12	)	)	PUNCT
ap-4598	137	13	which	which	PRON
ap-4598	137	14	are	be	AUX
ap-4598	137	15	given	give	VERB
ap-4598	137	16	by	by	ADP
ap-4598	137	17	|ψn(t	|ψn(t	NUM
ap-4598	137	18	)	)	PUNCT
ap-4598	137	19	〉	〉	NOUN
ap-4598	137	20	=	=	SYM
ap-4598	137	21	exp	exp	NOUN
ap-4598	137	22	(	(	PUNCT
ap-4598	137	23	in	in	ADP
ap-4598	137	24	∫	∫	PROPN
ap-4598	137	25	t	t	PROPN
ap-4598	137	26	0	0	NUM
ap-4598	137	27	(	(	PUNCT
ap-4598	137	28	|ω|	|ω|	VERB
ap-4598	137	29	cosϕω	cosϕω	NOUN
ap-4598	137	30	+	+	CCONJ
ap-4598	137	31	2φ|β|	2φ|β|	NUM
ap-4598	137	32	cos(ϕ+	cos(ϕ+	NOUN
ap-4598	137	33	ϕβ	ϕβ	NOUN
ap-4598	137	34	)	)	PUNCT
ap-4598	137	35	)	)	PUNCT
ap-4598	138	1	dt′	dt′	NOUN
ap-4598	138	2	)	)	PUNCT
ap-4598	138	3	v	v	ADP
ap-4598	138	4	−1(t)|j	−1(t)|j	NOUN
ap-4598	138	5	,	,	PUNCT
ap-4598	138	6	n	n	CCONJ
ap-4598	138	7	〉	〉	NUM
ap-4598	138	8	,	,	PUNCT
ap-4598	138	9	(	(	PUNCT
ap-4598	138	10	34	34	NUM
ap-4598	138	11	)	)	PUNCT
ap-4598	138	12	4	4	NUM
ap-4598	138	13	.	.	X
ap-4598	139	1	conclusion	conclusion	NOUN
ap-4598	139	2	it	it	PRON
ap-4598	139	3	has	have	AUX
ap-4598	139	4	been	be	AUX
ap-4598	139	5	established	establish	VERB
ap-4598	139	6	[	[	X
ap-4598	139	7	21–23	21–23	X
ap-4598	139	8	]	]	PUNCT
ap-4598	139	9	that	that	SCONJ
ap-4598	139	10	the	the	DET
ap-4598	139	11	general	general	ADJ
ap-4598	139	12	frame	frame	NOUN
ap-4598	139	13	-	-	PUNCT
ap-4598	139	14	work	work	NOUN
ap-4598	139	15	for	for	ADP
ap-4598	139	16	a	a	DET
ap-4598	139	17	description	description	NOUN
ap-4598	139	18	of	of	ADP
ap-4598	139	19	unitary	unitary	ADJ
ap-4598	139	20	time	time	NOUN
ap-4598	139	21	evolution	evolution	NOUN
ap-4598	139	22	for	for	ADP
ap-4598	139	23	time	time	NOUN
ap-4598	139	24	-	-	PUNCT
ap-4598	139	25	dependent	dependent	ADJ
ap-4598	139	26	non	non	ADJ
ap-4598	139	27	-	-	ADJ
ap-4598	139	28	hermitian	hermitian	ADJ
ap-4598	139	29	hamiltonians	hamiltonian	NOUN
ap-4598	139	30	can	can	AUX
ap-4598	139	31	be	be	AUX
ap-4598	139	32	based	base	VERB
ap-4598	139	33	on	on	ADP
ap-4598	139	34	the	the	DET
ap-4598	139	35	use	use	NOUN
ap-4598	139	36	of	of	ADP
ap-4598	139	37	a	a	DET
ap-4598	139	38	time	time	NOUN
ap-4598	139	39	-	-	PUNCT
ap-4598	139	40	dependent	dependent	ADJ
ap-4598	139	41	metric	metric	ADJ
ap-4598	139	42	operator	operator	NOUN
ap-4598	139	43	.	.	PUNCT
ap-4598	140	1	the	the	DET
ap-4598	140	2	unitarity	unitarity	NOUN
ap-4598	140	3	of	of	ADP
ap-4598	140	4	the	the	DET
ap-4598	140	5	time	time	NOUN
ap-4598	140	6	evolution	evolution	NOUN
ap-4598	140	7	can	can	AUX
ap-4598	140	8	be	be	AUX
ap-4598	140	9	guaranteed	guarantee	VERB
ap-4598	140	10	but	but	CCONJ
ap-4598	140	11	the	the	DET
ap-4598	140	12	hamiltonian	hamiltonian	NOUN
ap-4598	140	13	(	(	PUNCT
ap-4598	140	14	the	the	DET
ap-4598	140	15	generator	generator	NOUN
ap-4598	140	16	of	of	ADP
ap-4598	140	17	the	the	DET
ap-4598	140	18	schrödinger	schrödinger	ADJ
ap-4598	140	19	time	time	NOUN
ap-4598	140	20	-	-	PUNCT
ap-4598	140	21	evolution	evolution	NOUN
ap-4598	140	22	)	)	PUNCT
ap-4598	140	23	must	must	AUX
ap-4598	140	24	remain	remain	VERB
ap-4598	140	25	unobservable	unobservable	ADJ
ap-4598	140	26	in	in	ADP
ap-4598	140	27	general	general	ADJ
ap-4598	140	28	.	.	PUNCT
ap-4598	141	1	the	the	DET
ap-4598	141	2	latter	latter	ADJ
ap-4598	141	3	results	result	NOUN
ap-4598	141	4	were	be	AUX
ap-4598	141	5	recently	recently	ADV
ap-4598	141	6	illustrated	illustrate	VERB
ap-4598	141	7	in	in	ADP
ap-4598	141	8	[	[	X
ap-4598	141	9	28	28	NUM
ap-4598	141	10	,	,	PUNCT
ap-4598	141	11	29	29	NUM
ap-4598	141	12	]	]	PUNCT
ap-4598	141	13	.	.	PUNCT
ap-4598	142	1	in	in	ADP
ap-4598	142	2	this	this	DET
ap-4598	142	3	present	present	ADJ
ap-4598	142	4	work	work	NOUN
ap-4598	142	5	,	,	PUNCT
ap-4598	142	6	we	we	PRON
ap-4598	142	7	adapted	adapt	VERB
ap-4598	142	8	another	another	DET
ap-4598	142	9	approach	approach	NOUN
ap-4598	142	10	based	base	VERB
ap-4598	142	11	on	on	ADP
ap-4598	142	12	a	a	DET
ap-4598	142	13	time	time	NOUN
ap-4598	142	14	-	-	PUNCT
ap-4598	142	15	dependent	dependent	ADJ
ap-4598	142	16	non	non	ADJ
ap-4598	142	17	-	-	ADJ
ap-4598	142	18	unitary	unitary	ADJ
ap-4598	142	19	transformation	transformation	NOUN
ap-4598	142	20	of	of	ADP
ap-4598	142	21	time	time	NOUN
ap-4598	142	22	-	-	PUNCT
ap-4598	142	23	dependent	dependent	ADJ
ap-4598	142	24	hermitian	hermitian	ADJ
ap-4598	142	25	hamiltonians	hamiltonian	NOUN
ap-4598	142	26	[	[	X
ap-4598	142	27	15	15	NUM
ap-4598	142	28	]	]	PUNCT
ap-4598	142	29	to	to	PART
ap-4598	142	30	solve	solve	VERB
ap-4598	142	31	the	the	DET
ap-4598	142	32	schrödinger	schrödinger	ADJ
ap-4598	142	33	equation	equation	NOUN
ap-4598	142	34	for	for	ADP
ap-4598	142	35	the	the	DET
ap-4598	142	36	time	time	NOUN
ap-4598	142	37	-	-	PUNCT
ap-4598	142	38	dependent	dependent	ADJ
ap-4598	142	39	non	non	ADJ
ap-4598	142	40	-	-	ADJ
ap-4598	142	41	hermitian	hermitian	ADJ
ap-4598	142	42	hamiltonian	hamiltonian	NOUN
ap-4598	142	43	.	.	PUNCT
ap-4598	143	1	starting	start	VERB
ap-4598	143	2	with	with	ADP
ap-4598	143	3	the	the	DET
ap-4598	143	4	original	original	ADJ
ap-4598	143	5	time	time	NOUN
ap-4598	143	6	-	-	PUNCT
ap-4598	143	7	dependent	dependent	ADJ
ap-4598	143	8	non	non	ADJ
ap-4598	143	9	-	-	ADJ
ap-4598	143	10	hermitian	hermitian	ADJ
ap-4598	143	11	hamiltonian	hamiltonian	NOUN
ap-4598	143	12	h(t	h(t	PROPN
ap-4598	143	13	)	)	PUNCT
ap-4598	143	14	and	and	CCONJ
ap-4598	143	15	through	through	ADP
ap-4598	143	16	a	a	DET
ap-4598	143	17	non	non	ADJ
ap-4598	143	18	-	-	ADJ
ap-4598	143	19	unitary	unitary	ADJ
ap-4598	143	20	transformation	transformation	NOUN
ap-4598	143	21	v	v	NOUN
ap-4598	143	22	(	(	PUNCT
ap-4598	143	23	t	t	NOUN
ap-4598	143	24	)	)	PUNCT
ap-4598	143	25	we	we	PRON
ap-4598	143	26	derive	derive	VERB
ap-4598	143	27	the	the	DET
ap-4598	143	28	transformed	transform	VERB
ap-4598	143	29	h(t	h(t	PROPN
ap-4598	143	30	)	)	PUNCT
ap-4598	143	31	as	as	SCONJ
ap-4598	143	32	time	time	NOUN
ap-4598	143	33	independent	independent	ADJ
ap-4598	143	34	hamiltonian	hamiltonian	NOUN
ap-4598	143	35	multiplied	multiply	VERB
ap-4598	143	36	by	by	ADP
ap-4598	143	37	a	a	DET
ap-4598	143	38	time	time	NOUN
ap-4598	143	39	-	-	PUNCT
ap-4598	143	40	dependent	dependent	ADJ
ap-4598	143	41	factor	factor	NOUN
ap-4598	143	42	.	.	PUNCT
ap-4598	144	1	then	then	ADV
ap-4598	144	2	,	,	PUNCT
ap-4598	144	3	we	we	PRON
ap-4598	144	4	postulate	postulate	VERB
ap-4598	144	5	that	that	SCONJ
ap-4598	144	6	the	the	DET
ap-4598	144	7	time	time	NOUN
ap-4598	144	8	evolution	evolution	NOUN
ap-4598	144	9	of	of	ADP
ap-4598	144	10	a	a	DET
ap-4598	144	11	non	non	X
ap-4598	144	12	hermitian	hermitian	ADJ
ap-4598	144	13	quantum	quantum	ADJ
ap-4598	144	14	system	system	NOUN
ap-4598	144	15	preserves	preserve	VERB
ap-4598	144	16	the	the	DET
ap-4598	144	17	inner	inner	ADJ
ap-4598	144	18	products	product	NOUN
ap-4598	144	19	between	between	ADP
ap-4598	144	20	the	the	DET
ap-4598	144	21	associated	associated	ADJ
ap-4598	144	22	states	state	NOUN
ap-4598	144	23	,	,	PUNCT
ap-4598	144	24	which	which	PRON
ap-4598	144	25	allows	allow	VERB
ap-4598	144	26	us	we	PRON
ap-4598	144	27	to	to	PART
ap-4598	144	28	identify	identify	VERB
ap-4598	144	29	this	this	DET
ap-4598	144	30	transformed	transform	VERB
ap-4598	144	31	hamiltonian	hamiltonian	ADJ
ap-4598	144	32	h(t	h(t	PROPN
ap-4598	144	33	)	)	PUNCT
ap-4598	144	34	=	=	SYM
ap-4598	144	35	2	2	NUM
ap-4598	144	36	re(w(t))k0	re(w(t))k0	NOUN
ap-4598	144	37	as	as	ADP
ap-4598	144	38	hermitian	hermitian	PROPN
ap-4598	144	39	.	.	PUNCT
ap-4598	145	1	thus	thus	ADV
ap-4598	145	2	,	,	PUNCT
ap-4598	145	3	our	our	PRON
ap-4598	145	4	problem	problem	NOUN
ap-4598	145	5	is	be	AUX
ap-4598	145	6	completely	completely	ADV
ap-4598	145	7	solved	solve	VERB
ap-4598	145	8	.	.	PUNCT
ap-4598	146	1	evidently	evidently	ADV
ap-4598	146	2	,	,	PUNCT
ap-4598	146	3	we	we	PRON
ap-4598	146	4	then	then	ADV
ap-4598	146	5	have	have	AUX
ap-4598	146	6	presented	present	VERB
ap-4598	146	7	to	to	PART
ap-4598	146	8	illustrate	illustrate	VERB
ap-4598	146	9	this	this	DET
ap-4598	146	10	theory	theory	NOUN
ap-4598	146	11	:	:	PUNCT
ap-4598	146	12	the	the	DET
ap-4598	146	13	su(1	su(1	NOUN
ap-4598	146	14	,	,	PUNCT
ap-4598	146	15	1	1	NUM
ap-4598	146	16	)	)	PUNCT
ap-4598	146	17	and	and	CCONJ
ap-4598	146	18	su(2	su(2	NOUN
ap-4598	146	19	)	)	PUNCT
ap-4598	146	20	non	non	ADJ
ap-4598	146	21	-	-	ADJ
ap-4598	146	22	hermitian	hermitian	ADJ
ap-4598	146	23	timedependent	timedependent	NOUN
ap-4598	146	24	systems	system	NOUN
ap-4598	146	25	described	describe	VERB
ap-4598	146	26	by	by	ADP
ap-4598	146	27	the	the	DET
ap-4598	146	28	hamiltonian	hamiltonian	NOUN
ap-4598	146	29	(	(	PUNCT
ap-4598	146	30	12	12	NUM
ap-4598	146	31	)	)	PUNCT
ap-4598	146	32	when	when	SCONJ
ap-4598	146	33	applying	apply	VERB
ap-4598	146	34	the	the	DET
ap-4598	146	35	non	non	ADJ
ap-4598	146	36	-	-	ADJ
ap-4598	146	37	unitray	unitray	ADJ
ap-4598	146	38	transformation	transformation	NOUN
ap-4598	146	39	v	v	ADP
ap-4598	146	40	(	(	PUNCT
ap-4598	146	41	t	t	NOUN
ap-4598	146	42	)	)	PUNCT
ap-4598	146	43	we	we	PRON
ap-4598	146	44	obtain	obtain	VERB
ap-4598	146	45	the	the	DET
ap-4598	146	46	transformed	transform	VERB
ap-4598	146	47	hamiltonian	hamiltonian	NOUN
ap-4598	146	48	h(t	h(t	PROPN
ap-4598	146	49	)	)	PUNCT
ap-4598	146	50	as	as	ADP
ap-4598	146	51	linear	linear	ADJ
ap-4598	146	52	combination	combination	NOUN
ap-4598	146	53	of	of	ADP
ap-4598	146	54	k0	k0	PROPN
ap-4598	146	55	and	and	CCONJ
ap-4598	146	56	k∓.	k∓.	PROPN
ap-4598	146	57	consequently	consequently	ADV
ap-4598	146	58	,	,	PUNCT
ap-4598	146	59	we	we	PRON
ap-4598	146	60	must	must	AUX
ap-4598	146	61	disregard	disregard	VERB
ap-4598	146	62	the	the	DET
ap-4598	146	63	prefactors	prefactor	NOUN
ap-4598	146	64	of	of	ADP
ap-4598	146	65	the	the	DET
ap-4598	146	66	operators	operator	NOUN
ap-4598	146	67	k∓	k∓	PROPN
ap-4598	146	68	.	.	PUNCT
ap-4598	147	1	to	to	ADP
ap-4598	147	2	this	this	DET
ap-4598	147	3	end	end	NOUN
ap-4598	147	4	,	,	PUNCT
ap-4598	147	5	we	we	PRON
ap-4598	147	6	next	next	ADV
ap-4598	147	7	require	require	VERB
ap-4598	147	8	that	that	SCONJ
ap-4598	147	9	the	the	DET
ap-4598	147	10	coefficients	coefficient	NOUN
ap-4598	147	11	q(t	q(t	PROPN
ap-4598	147	12	)	)	PUNCT
ap-4598	147	13	=	=	SYM
ap-4598	147	14	0	0	NUM
ap-4598	147	15	and	and	CCONJ
ap-4598	147	16	y(t	y(t	NUM
ap-4598	147	17	)	)	PUNCT
ap-4598	148	1	=	=	SYM
ap-4598	148	2	0	0	NUM
ap-4598	148	3	defined	define	VERB
ap-4598	148	4	in	in	ADP
ap-4598	148	5	(	(	PUNCT
ap-4598	148	6	25)–(26	25)–(26	NUM
ap-4598	148	7	)	)	PUNCT
ap-4598	148	8	.	.	PUNCT
ap-4598	149	1	then	then	ADV
ap-4598	149	2	,	,	PUNCT
ap-4598	149	3	by	by	ADP
ap-4598	149	4	using	use	VERB
ap-4598	149	5	the	the	DET
ap-4598	149	6	postulat	postulat	NOUN
ap-4598	149	7	that	that	SCONJ
ap-4598	149	8	the	the	DET
ap-4598	149	9	inner	inner	ADJ
ap-4598	149	10	products	product	NOUN
ap-4598	149	11	between	between	ADP
ap-4598	149	12	the	the	DET
ap-4598	149	13	associated	associated	ADJ
ap-4598	149	14	states	state	NOUN
ap-4598	149	15	is	be	AUX
ap-4598	149	16	preserved	preserve	VERB
ap-4598	149	17	allows	allow	VERB
ap-4598	149	18	us	we	PRON
ap-4598	149	19	to	to	PART
ap-4598	149	20	require	require	VERB
ap-4598	149	21	that	that	PRON
ap-4598	150	1	imw(t	imw(t	PROPN
ap-4598	150	2	)	)	PUNCT
ap-4598	150	3	=	=	SYM
ap-4598	150	4	0	0	PUNCT
ap-4598	150	5	and	and	CCONJ
ap-4598	150	6	to	to	PART
ap-4598	150	7	identify	identify	VERB
ap-4598	150	8	the	the	DET
ap-4598	150	9	transformed	transform	VERB
ap-4598	150	10	hamiltonian	hamiltonian	ADJ
ap-4598	150	11	h(t	h(t	PROPN
ap-4598	150	12	)	)	PUNCT
ap-4598	151	1	=	=	SYM
ap-4598	151	2	2	2	NUM
ap-4598	151	3	re(w(t))k0	re(w(t))k0	NOUN
ap-4598	151	4	as	as	ADP
ap-4598	151	5	hermitian	hermitian	PROPN
ap-4598	151	6	.	.	PUNCT
ap-4598	152	1	the	the	DET
ap-4598	152	2	su(1	su(1	NOUN
ap-4598	152	3	,	,	PUNCT
ap-4598	152	4	1	1	NUM
ap-4598	152	5	)	)	PUNCT
ap-4598	152	6	example	example	NOUN
ap-4598	152	7	provided	provide	VERB
ap-4598	152	8	was	be	AUX
ap-4598	152	9	previously	previously	ADV
ap-4598	152	10	solved	solve	VERB
ap-4598	152	11	in	in	ADP
ap-4598	152	12	[	[	X
ap-4598	152	13	29	29	NUM
ap-4598	152	14	]	]	PUNCT
ap-4598	152	15	with	with	ADP
ap-4598	152	16	the	the	DET
ap-4598	152	17	requirement	requirement	NOUN
ap-4598	152	18	q(t	q(t	PROPN
ap-4598	152	19	)	)	PUNCT
ap-4598	152	20	=	=	SYM
ap-4598	152	21	y+(t	y+(t	PROPN
ap-4598	152	22	)	)	PUNCT
ap-4598	152	23	.	.	PUNCT
ap-4598	153	1	at	at	ADP
ap-4598	153	2	first	first	ADJ
ap-4598	153	3	glance	glance	NOUN
ap-4598	153	4	,	,	PUNCT
ap-4598	153	5	this	this	PRON
ap-4598	153	6	means	mean	VERB
ap-4598	153	7	our	our	PRON
ap-4598	153	8	new	new	ADJ
ap-4598	153	9	solution	solution	NOUN
ap-4598	153	10	is	be	AUX
ap-4598	153	11	just	just	ADV
ap-4598	153	12	a	a	DET
ap-4598	153	13	special	special	ADJ
ap-4598	153	14	case	case	NOUN
ap-4598	153	15	of	of	ADP
ap-4598	153	16	the	the	DET
ap-4598	153	17	one	one	NOUN
ap-4598	153	18	provided	provide	VERB
ap-4598	153	19	in	in	ADP
ap-4598	153	20	[	[	NOUN
ap-4598	153	21	29	29	NUM
ap-4598	153	22	]	]	PUNCT
ap-4598	153	23	.	.	PUNCT
ap-4598	154	1	in	in	ADP
ap-4598	154	2	fact	fact	NOUN
ap-4598	154	3	,	,	PUNCT
ap-4598	154	4	this	this	PRON
ap-4598	154	5	is	be	AUX
ap-4598	154	6	not	not	PART
ap-4598	154	7	the	the	DET
ap-4598	154	8	case	case	NOUN
ap-4598	154	9	because	because	SCONJ
ap-4598	154	10	the	the	DET
ap-4598	154	11	solution	solution	NOUN
ap-4598	154	12	of	of	ADP
ap-4598	154	13	shrodinger	shrodinger	ADJ
ap-4598	154	14	equation	equation	NOUN
ap-4598	154	15	can	can	AUX
ap-4598	154	16	never	never	ADV
ap-4598	154	17	be	be	AUX
ap-4598	154	18	obtained	obtain	VERB
ap-4598	154	19	using	use	VERB
ap-4598	154	20	uniquely	uniquely	ADV
ap-4598	154	21	this	this	DET
ap-4598	154	22	requirement	requirement	NOUN
ap-4598	154	23	;	;	PUNCT
ap-4598	154	24	i.e.q(t	i.e.q(t	X
ap-4598	154	25	)	)	PUNCT
ap-4598	154	26	=	=	SYM
ap-4598	154	27	y+(t	y+(t	PROPN
ap-4598	154	28	)	)	PUNCT
ap-4598	154	29	.	.	PUNCT
ap-4598	155	1	in	in	ADP
ap-4598	155	2	order	order	NOUN
ap-4598	155	3	,	,	PUNCT
ap-4598	155	4	to	to	PART
ap-4598	155	5	solve	solve	VERB
ap-4598	155	6	the	the	DET
ap-4598	155	7	shrodinger	shrodinger	ADJ
ap-4598	155	8	equation	equation	NOUN
ap-4598	155	9	associated	associate	VERB
ap-4598	155	10	to	to	ADP
ap-4598	155	11	their	their	PRON
ap-4598	155	12	time	time	NOUN
ap-4598	155	13	dependent	dependent	ADJ
ap-4598	155	14	hermitian	hermitian	ADJ
ap-4598	155	15	hamiltonian	hamiltonian	NOUN
ap-4598	155	16	obtained	obtain	VERB
ap-4598	155	17	by	by	ADP
ap-4598	155	18	the	the	DET
ap-4598	155	19	requirement	requirement	NOUN
ap-4598	155	20	q(t	q(t	PROPN
ap-4598	155	21	)	)	PUNCT
ap-4598	155	22	=	=	SYM
ap-4598	155	23	y+(t	y+(t	PROPN
ap-4598	155	24	)	)	PUNCT
ap-4598	155	25	,	,	PUNCT
ap-4598	155	26	the	the	DET
ap-4598	155	27	authors	author	NOUN
ap-4598	155	28	of	of	ADP
ap-4598	155	29	[	[	X
ap-4598	155	30	29	29	NUM
ap-4598	155	31	]	]	PUNCT
ap-4598	155	32	have	have	AUX
ap-4598	155	33	adapted	adapt	VERB
ap-4598	155	34	the	the	DET
ap-4598	155	35	lewis	lewis	PROPN
ap-4598	155	36	and	and	CCONJ
ap-4598	155	37	riesenfeld	riesenfeld	VERB
ap-4598	155	38	time	time	NOUN
ap-4598	155	39	-	-	PUNCT
ap-4598	155	40	dependent	dependent	ADJ
ap-4598	155	41	invariants	invariant	NOUN
ap-4598	155	42	technique	technique	NOUN
ap-4598	155	43	.	.	PUNCT
ap-4598	156	1	thus	thus	ADV
ap-4598	156	2	,	,	PUNCT
ap-4598	156	3	they	they	PRON
ap-4598	156	4	use	use	VERB
ap-4598	156	5	two	two	NUM
ap-4598	156	6	steps	step	NOUN
ap-4598	156	7	to	to	PART
ap-4598	156	8	solve	solve	VERB
ap-4598	156	9	the	the	DET
ap-4598	156	10	generalized	generalized	ADJ
ap-4598	156	11	swanson	swanson	NOUN
ap-4598	156	12	hamiltonian	hamiltonian	NOUN
ap-4598	156	13	.	.	PUNCT
ap-4598	157	1	however	however	ADV
ap-4598	157	2	,	,	PUNCT
ap-4598	157	3	our	our	PRON
ap-4598	157	4	method	method	NOUN
ap-4598	157	5	is	be	AUX
ap-4598	157	6	straightforward	straightforward	ADJ
ap-4598	157	7	to	to	PART
ap-4598	157	8	obtain	obtain	VERB
ap-4598	157	9	the	the	DET
ap-4598	157	10	solution	solution	NOUN
ap-4598	157	11	of	of	ADP
ap-4598	157	12	the	the	DET
ap-4598	157	13	generalized	generalized	ADJ
ap-4598	157	14	swanson	swanson	PROPN
ap-4598	157	15	hamiltonian	hamiltonian	NOUN
ap-4598	157	16	and	and	CCONJ
ap-4598	157	17	the	the	DET
ap-4598	157	18	lewis	lewis	PROPN
ap-4598	157	19	and	and	CCONJ
ap-4598	157	20	riesenfeld	riesenfeld	VERB
ap-4598	157	21	time	time	NOUN
ap-4598	157	22	-	-	PUNCT
ap-4598	157	23	dependent	dependent	ADJ
ap-4598	157	24	invariant	invariant	NOUN
ap-4598	157	25	is	be	AUX
ap-4598	157	26	a	a	DET
ap-4598	157	27	consequence	consequence	NOUN
ap-4598	157	28	.	.	PUNCT
ap-4598	158	1	finaly	finaly	VERB
ap-4598	158	2	,	,	PUNCT
ap-4598	158	3	we	we	PRON
ap-4598	158	4	also	also	ADV
ap-4598	158	5	found	find	VERB
ap-4598	158	6	the	the	DET
ap-4598	158	7	exact	exact	ADJ
ap-4598	158	8	solutions	solution	NOUN
ap-4598	158	9	of	of	ADP
ap-4598	158	10	the	the	DET
ap-4598	158	11	generalized	generalize	VERB
ap-4598	158	12	swanson	swanson	PROPN
ap-4598	158	13	model	model	NOUN
ap-4598	158	14	and	and	CCONJ
ap-4598	158	15	a	a	DET
ap-4598	158	16	spinning	spinning	NOUN
ap-4598	158	17	particle	particle	NOUN
ap-4598	158	18	in	in	ADP
ap-4598	158	19	a	a	DET
ap-4598	158	20	time	time	NOUN
ap-4598	158	21	-	-	PUNCT
ap-4598	158	22	varying	vary	VERB
ap-4598	158	23	complex	complex	ADJ
ap-4598	158	24	magnetic	magnetic	ADJ
ap-4598	158	25	field	field	NOUN
ap-4598	158	26	.	.	PUNCT
ap-4598	159	1	acknowledgements	acknowledgement	NOUN
ap-4598	159	2	i	i	PRON
ap-4598	159	3	would	would	AUX
ap-4598	159	4	like	like	VERB
ap-4598	159	5	to	to	PART
ap-4598	159	6	thank	thank	VERB
ap-4598	159	7	professor	professor	PROPN
ap-4598	159	8	omar	omar	PROPN
ap-4598	159	9	cherbal	cherbal	PROPN
ap-4598	159	10	for	for	ADP
ap-4598	159	11	the	the	DET
ap-4598	159	12	interesting	interesting	ADJ
ap-4598	159	13	discussions	discussion	NOUN
ap-4598	159	14	on	on	ADP
ap-4598	159	15	the	the	DET
ap-4598	159	16	notion	notion	NOUN
ap-4598	159	17	of	of	ADP
ap-4598	159	18	the	the	DET
ap-4598	159	19	time	time	NOUN
ap-4598	159	20	-	-	PUNCT
ap-4598	159	21	dependent	dependent	ADJ
ap-4598	159	22	non	non	ADJ
ap-4598	159	23	-	-	ADJ
ap-4598	159	24	hermitian	hermitian	ADJ
ap-4598	159	25	systems	system	NOUN
ap-4598	159	26	.	.	PUNCT
ap-4598	160	1	references	reference	NOUN
ap-4598	160	2	[	[	X
ap-4598	160	3	1	1	NUM
ap-4598	160	4	]	]	PUNCT
ap-4598	160	5	h.	h.	PROPN
ap-4598	160	6	r.	r.	PROPN
ap-4598	160	7	lewis	lewis	PROPN
ap-4598	160	8	,	,	PUNCT
ap-4598	160	9	phys	phys	PROPN
ap-4598	160	10	.	.	PUNCT
ap-4598	161	1	rev	rev	PROPN
ap-4598	161	2	.	.	PROPN
ap-4598	161	3	lett	lett	PROPN
ap-4598	161	4	.	.	PROPN
ap-4598	162	1	18	18	NUM
ap-4598	162	2	,	,	PUNCT
ap-4598	162	3	636	636	NUM
ap-4598	162	4	(	(	PUNCT
ap-4598	162	5	1967	1967	NUM
ap-4598	162	6	)	)	PUNCT
ap-4598	162	7	.	.	PUNCT
ap-4598	163	1	[	[	X
ap-4598	163	2	2	2	X
ap-4598	163	3	]	]	PUNCT
ap-4598	163	4	h.	h.	PROPN
ap-4598	163	5	r.	r.	PROPN
ap-4598	163	6	lewis	lewis	PROPN
ap-4598	163	7	,	,	PUNCT
ap-4598	163	8	j.	j.	PROPN
ap-4598	163	9	math	math	PROPN
ap-4598	163	10	phys	phys	PROPN
ap-4598	163	11	.	.	PUNCT
ap-4598	164	1	9	9	NUM
ap-4598	164	2	,	,	PUNCT
ap-4598	164	3	1976	1976	NUM
ap-4598	164	4	(	(	PUNCT
ap-4598	164	5	1968	1968	NUM
ap-4598	164	6	)	)	PUNCT
ap-4598	164	7	.	.	PUNCT
ap-4598	165	1	[	[	X
ap-4598	165	2	3	3	X
ap-4598	165	3	]	]	X
ap-4598	165	4	h.	h.	PROPN
ap-4598	165	5	r.	r.	PROPN
ap-4598	165	6	lewis	lewis	PROPN
ap-4598	165	7	and	and	CCONJ
ap-4598	165	8	w.	w.	PROPN
ap-4598	165	9	b.	b.	PROPN
ap-4598	165	10	riesenfeld	riesenfeld	PROPN
ap-4598	165	11	,	,	PUNCT
ap-4598	165	12	j.	j.	PROPN
ap-4598	165	13	math	math	PROPN
ap-4598	165	14	.	.	PUNCT
ap-4598	166	1	phys	phy	NOUN
ap-4598	166	2	.	.	PUNCT
ap-4598	167	1	10	10	NUM
ap-4598	167	2	,	,	PUNCT
ap-4598	167	3	1458	1458	NUM
ap-4598	167	4	(	(	PUNCT
ap-4598	167	5	1969	1969	NUM
ap-4598	167	6	)	)	PUNCT
ap-4598	167	7	.	.	PUNCT
ap-4598	168	1	[	[	X
ap-4598	168	2	4	4	NUM
ap-4598	168	3	]	]	X
ap-4598	168	4	c.	c.	PROPN
ap-4598	168	5	m.	m.	PROPN
ap-4598	168	6	cheng	cheng	PROPN
ap-4598	168	7	and	and	CCONJ
ap-4598	168	8	p.	p.	PROPN
ap-4598	168	9	c.	c.	PROPN
ap-4598	168	10	w.	w.	PROPN
ap-4598	168	11	fung	fung	PROPN
ap-4598	168	12	,	,	PUNCT
ap-4598	168	13	j.	j.	PROPN
ap-4598	168	14	phys	phys	PROPN
ap-4598	168	15	.	.	PUNCT
ap-4598	169	1	a	a	DET
ap-4598	169	2	21	21	NUM
ap-4598	169	3	,	,	PUNCT
ap-4598	169	4	4115	4115	NUM
ap-4598	169	5	(	(	PUNCT
ap-4598	169	6	1988	1988	NUM
ap-4598	169	7	)	)	PUNCT
ap-4598	169	8	.	.	PUNCT
ap-4598	170	1	[	[	X
ap-4598	170	2	5	5	X
ap-4598	170	3	]	]	PUNCT
ap-4598	170	4	d.	d.	PROPN
ap-4598	170	5	a.	a.	PROPN
ap-4598	170	6	molares	molare	NOUN
ap-4598	170	7	,	,	PUNCT
ap-4598	170	8	j.	j.	PROPN
ap-4598	170	9	phys	phys	PROPN
ap-4598	170	10	.	.	PUNCT
ap-4598	171	1	a	a	DET
ap-4598	171	2	21	21	NUM
ap-4598	171	3	,	,	PUNCT
ap-4598	171	4	l889	l889	PROPN
ap-4598	171	5	(	(	PUNCT
ap-4598	171	6	1988	1988	NUM
ap-4598	171	7	)	)	PUNCT
ap-4598	172	1	[	[	X
ap-4598	172	2	6	6	X
ap-4598	172	3	]	]	PUNCT
ap-4598	172	4	j.	j.	PROPN
ap-4598	172	5	m.	m.	PROPN
ap-4598	172	6	cervero	cervero	PROPN
ap-4598	172	7	and	and	CCONJ
ap-4598	172	8	j.	j.	PROPN
ap-4598	172	9	d.	d.	PROPN
ap-4598	172	10	lejarreta	lejarreta	PROPN
ap-4598	172	11	,	,	PUNCT
ap-4598	172	12	j.	j.	PROPN
ap-4598	172	13	phys	phys	PROPN
ap-4598	172	14	.	.	PUNCT
ap-4598	173	1	a	a	DET
ap-4598	173	2	22	22	NUM
ap-4598	173	3	,	,	PUNCT
ap-4598	173	4	l663	l663	PROPN
ap-4598	173	5	(	(	PUNCT
ap-4598	173	6	1989	1989	NUM
ap-4598	173	7	)	)	PUNCT
ap-4598	173	8	.	.	PUNCT
ap-4598	174	1	[	[	X
ap-4598	174	2	7	7	X
ap-4598	174	3	]	]	X
ap-4598	174	4	n.	n.	NOUN
ap-4598	174	5	datta	datta	PROPN
ap-4598	174	6	and	and	CCONJ
ap-4598	174	7	g.	g.	PROPN
ap-4598	174	8	ghosh	ghosh	PROPN
ap-4598	174	9	,	,	PUNCT
ap-4598	174	10	phys	phys	PROPN
ap-4598	174	11	.	.	PUNCT
ap-4598	175	1	rev	rev	PROPN
ap-4598	175	2	.	.	PROPN
ap-4598	176	1	a	a	DET
ap-4598	176	2	40	40	NUM
ap-4598	176	3	,	,	PUNCT
ap-4598	176	4	526	526	NUM
ap-4598	176	5	(	(	PUNCT
ap-4598	176	6	1989	1989	NUM
ap-4598	176	7	)	)	PUNCT
ap-4598	176	8	.	.	PUNCT
ap-4598	177	1	[	[	X
ap-4598	177	2	8	8	NUM
ap-4598	177	3	]	]	PUNCT
ap-4598	177	4	x.	x.	NOUN
ap-4598	177	5	gao	gao	PROPN
ap-4598	177	6	,	,	PUNCT
ap-4598	177	7	j.	j.	PROPN
ap-4598	177	8	b.	b.	PROPN
ap-4598	177	9	xu	xu	PROPN
ap-4598	177	10	and	and	CCONJ
ap-4598	177	11	t.	t.	PROPN
ap-4598	177	12	z.	z.	PROPN
ap-4598	177	13	qian	qian	PROPN
ap-4598	177	14	,	,	PUNCT
ap-4598	177	15	ann	ann	PROPN
ap-4598	177	16	.	.	PUNCT
ap-4598	177	17	phys	phys	PROPN
ap-4598	177	18	.	.	PUNCT
ap-4598	177	19	,	,	PUNCT
ap-4598	177	20	ny	ny	PROPN
ap-4598	177	21	204	204	NUM
ap-4598	177	22	,	,	PUNCT
ap-4598	177	23	235	235	NUM
ap-4598	177	24	(	(	PUNCT
ap-4598	177	25	1990	1990	NUM
ap-4598	177	26	)	)	PUNCT
ap-4598	177	27	.	.	PUNCT
ap-4598	178	1	[	[	X
ap-4598	178	2	9	9	NUM
ap-4598	178	3	]	]	PUNCT
ap-4598	178	4	d.	d.	PROPN
ap-4598	178	5	b.	b.	PROPN
ap-4598	178	6	monteoliva	monteoliva	PROPN
ap-4598	178	7	,	,	PUNCT
ap-4598	178	8	h.	h.	PROPN
ap-4598	178	9	j.	j.	PROPN
ap-4598	178	10	korsch	korsch	PROPN
ap-4598	178	11	,	,	PUNCT
ap-4598	178	12	and	and	CCONJ
ap-4598	178	13	j.	j.	PROPN
ap-4598	178	14	a.	a.	PROPN
ap-4598	178	15	nunez	nunez	PROPN
ap-4598	178	16	,	,	PUNCT
ap-4598	178	17	j.	j.	PROPN
ap-4598	178	18	phys	phys	PROPN
ap-4598	178	19	.	.	PUNCT
ap-4598	179	1	a	a	DET
ap-4598	179	2	27	27	NUM
ap-4598	179	3	,	,	PUNCT
ap-4598	179	4	6897	6897	NUM
ap-4598	179	5	(	(	PUNCT
ap-4598	179	6	1994	1994	NUM
ap-4598	179	7	)	)	PUNCT
ap-4598	179	8	428	428	NUM
ap-4598	179	9	vol	vol	NOUN
ap-4598	179	10	.	.	PUNCT
ap-4598	179	11	57	57	NUM
ap-4598	179	12	no	no	NOUN
ap-4598	179	13	.	.	PUNCT
ap-4598	180	1	6/2017	6/2017	NUM
ap-4598	180	2	non	non	ADJ
ap-4598	180	3	-	-	ADJ
ap-4598	180	4	unitary	unitary	ADJ
ap-4598	180	5	transformation	transformation	NOUN
ap-4598	180	6	of	of	ADP
ap-4598	180	7	non	non	ADJ
ap-4598	180	8	-	-	ADJ
ap-4598	180	9	hermitian	hermitian	ADJ
ap-4598	180	10	systems	system	NOUN
ap-4598	180	11	[	[	X
ap-4598	180	12	10	10	NUM
ap-4598	180	13	]	]	PUNCT
ap-4598	180	14	s.	s.	PROPN
ap-4598	180	15	s.	s.	PROPN
ap-4598	180	16	mizrahi	mizrahi	PROPN
ap-4598	180	17	,	,	PUNCT
ap-4598	180	18	m.	m.	PROPN
ap-4598	180	19	h.	h.	PROPN
ap-4598	180	20	y.	y.	PROPN
ap-4598	180	21	moussa	moussa	PROPN
ap-4598	180	22	,	,	PUNCT
ap-4598	180	23	and	and	CCONJ
ap-4598	180	24	b.	b.	PROPN
ap-4598	180	25	baseia	baseia	PROPN
ap-4598	180	26	,	,	PUNCT
ap-4598	180	27	int	int	PROPN
ap-4598	180	28	.	.	PUNCT
ap-4598	181	1	j.	j.	PROPN
ap-4598	181	2	mod	mod	PROPN
ap-4598	181	3	.	.	PUNCT
ap-4598	182	1	phys	phys	PROPN
ap-4598	182	2	.	.	PUNCT
ap-4598	183	1	b	b	X
ap-4598	183	2	8	8	NUM
ap-4598	183	3	,	,	PUNCT
ap-4598	183	4	1563	1563	NUM
ap-4598	183	5	(	(	PUNCT
ap-4598	183	6	1994	1994	NUM
ap-4598	183	7	)	)	PUNCT
ap-4598	183	8	.	.	PUNCT
ap-4598	184	1	[	[	X
ap-4598	184	2	11	11	NUM
ap-4598	184	3	]	]	PUNCT
ap-4598	184	4	j.	j.	PROPN
ap-4598	184	5	y.	y.	PROPN
ap-4598	184	6	ji	ji	PROPN
ap-4598	184	7	,	,	PUNCT
ap-4598	184	8	j.	j.	PROPN
ap-4598	184	9	k.	k.	PROPN
ap-4598	184	10	kim	kim	PROPN
ap-4598	184	11	,	,	PUNCT
ap-4598	184	12	s.	s.	PROPN
ap-4598	184	13	p.	p.	PROPN
ap-4598	184	14	kim	kim	PROPN
ap-4598	184	15	and	and	CCONJ
ap-4598	184	16	k	k	PROPN
ap-4598	184	17	;	;	PUNCT
ap-4598	184	18	s.	s.	PROPN
ap-4598	184	19	soh	soh	PROPN
ap-4598	184	20	phys	phys	PROPN
ap-4598	184	21	.	.	PUNCT
ap-4598	185	1	rev	rev	PROPN
ap-4598	185	2	.	.	PUNCT
ap-4598	186	1	a	a	DET
ap-4598	186	2	52	52	NUM
ap-4598	186	3	,	,	PUNCT
ap-4598	186	4	3352	3352	NUM
ap-4598	186	5	(	(	PUNCT
ap-4598	186	6	1995	1995	NUM
ap-4598	186	7	)	)	PUNCT
ap-4598	187	1	[	[	X
ap-4598	187	2	12	12	NUM
ap-4598	187	3	]	]	PUNCT
ap-4598	187	4	m.	m.	NOUN
ap-4598	187	5	maamache	maamache	PROPN
ap-4598	187	6	,	,	PUNCT
ap-4598	187	7	phys	phy	NOUN
ap-4598	187	8	.	.	PUNCT
ap-4598	187	9	rev	rev	PROPN
ap-4598	187	10	.	.	PUNCT
ap-4598	188	1	a	a	DET
ap-4598	188	2	52	52	NUM
ap-4598	188	3	,	,	PUNCT
ap-4598	188	4	936	936	NUM
ap-4598	188	5	(	(	PUNCT
ap-4598	188	6	1995	1995	NUM
ap-4598	188	7	)	)	PUNCT
ap-4598	188	8	;	;	PUNCT
ap-4598	188	9	j.	j.	PROPN
ap-4598	188	10	phys	phys	PROPN
ap-4598	188	11	.	.	PUNCT
ap-4598	189	1	a	a	DET
ap-4598	189	2	29	29	NUM
ap-4598	189	3	,	,	PUNCT
ap-4598	189	4	2833	2833	NUM
ap-4598	189	5	(	(	PUNCT
ap-4598	189	6	1996	1996	NUM
ap-4598	189	7	)	)	PUNCT
ap-4598	189	8	;	;	PUNCT
ap-4598	189	9	phys	phy	NOUN
ap-4598	189	10	.	.	PUNCT
ap-4598	190	1	scr	scr	NOUN
ap-4598	190	2	.	.	PROPN
ap-4598	190	3	54	54	NUM
ap-4598	190	4	,	,	PUNCT
ap-4598	190	5	21	21	NUM
ap-4598	190	6	(	(	PUNCT
ap-4598	190	7	1996	1996	NUM
ap-4598	190	8	)	)	PUNCT
ap-4598	190	9	.	.	PUNCT
ap-4598	191	1	[	[	X
ap-4598	191	2	13	13	NUM
ap-4598	191	3	]	]	X
ap-4598	191	4	y.	y.	PROPN
ap-4598	191	5	z.	z.	PROPN
ap-4598	191	6	lai	lai	PROPN
ap-4598	191	7	,	,	PUNCT
ap-4598	191	8	j.	j.	PROPN
ap-4598	191	9	q.	q.	PROPN
ap-4598	191	10	liang	liang	PROPN
ap-4598	191	11	,	,	PUNCT
ap-4598	191	12	h.	h.	PROPN
ap-4598	191	13	j.	j.	PROPN
ap-4598	191	14	w.	w.	PROPN
ap-4598	191	15	müller	müller	PROPN
ap-4598	191	16	-	-	PUNCT
ap-4598	191	17	kirsten	kirsten	PROPN
ap-4598	191	18	and	and	CCONJ
ap-4598	191	19	j.	j.	PROPN
ap-4598	191	20	g.	g.	PROPN
ap-4598	191	21	zhou	zhou	PROPN
ap-4598	191	22	,	,	PUNCT
ap-4598	191	23	phys	phys	PROPN
ap-4598	191	24	.	.	PUNCT
ap-4598	192	1	rev	rev	PROPN
ap-4598	192	2	.	.	PUNCT
ap-4598	193	1	a	a	DET
ap-4598	193	2	53	53	NUM
ap-4598	193	3	,	,	PUNCT
ap-4598	193	4	3691	3691	NUM
ap-4598	193	5	(	(	PUNCT
ap-4598	193	6	1996	1996	NUM
ap-4598	193	7	)	)	PUNCT
ap-4598	193	8	;	;	PUNCT
ap-4598	193	9	j.	j.	PROPN
ap-4598	193	10	phys	phys	PROPN
ap-4598	193	11	.	.	PUNCT
ap-4598	194	1	a	a	DET
ap-4598	194	2	29	29	NUM
ap-4598	194	3	,	,	PUNCT
ap-4598	194	4	1773	1773	NUM
ap-4598	194	5	(	(	PUNCT
ap-4598	194	6	1996	1996	NUM
ap-4598	194	7	)	)	PUNCT
ap-4598	194	8	.	.	PUNCT
ap-4598	195	1	[	[	X
ap-4598	195	2	14	14	NUM
ap-4598	195	3	]	]	X
ap-4598	195	4	y.	y.	PROPN
ap-4598	195	5	c.	c.	PROPN
ap-4598	195	6	ge	ge	PROPN
ap-4598	195	7	and	and	CCONJ
ap-4598	195	8	m.	m.	PROPN
ap-4598	195	9	s.	s.	PROPN
ap-4598	195	10	child	child	PROPN
ap-4598	195	11	,	,	PUNCT
ap-4598	195	12	phys	phy	NOUN
ap-4598	195	13	.	.	PUNCT
ap-4598	196	1	rev	rev	PROPN
ap-4598	196	2	.	.	PROPN
ap-4598	196	3	lett	lett	PROPN
ap-4598	196	4	.	.	PROPN
ap-4598	197	1	78	78	NUM
ap-4598	197	2	,	,	PUNCT
ap-4598	197	3	2507	2507	NUM
ap-4598	197	4	(	(	PUNCT
ap-4598	197	5	1997	1997	NUM
ap-4598	197	6	)	)	PUNCT
ap-4598	197	7	.	.	PUNCT
ap-4598	198	1	[	[	X
ap-4598	198	2	15	15	NUM
ap-4598	198	3	]	]	X
ap-4598	198	4	m.	m.	NOUN
ap-4598	198	5	maamache	maamache	PROPN
ap-4598	198	6	,	,	PUNCT
ap-4598	198	7	j.	j.	PROPN
ap-4598	198	8	phys	phys	PROPN
ap-4598	198	9	.	.	PUNCT
ap-4598	199	1	a	a	DET
ap-4598	199	2	31	31	NUM
ap-4598	199	3	,	,	PUNCT
ap-4598	199	4	6849	6849	NUM
ap-4598	199	5	(	(	PUNCT
ap-4598	199	6	1998	1998	NUM
ap-4598	199	7	)	)	PUNCT
ap-4598	199	8	.	.	PUNCT
ap-4598	200	1	[	[	X
ap-4598	200	2	16	16	NUM
ap-4598	200	3	]	]	X
ap-4598	200	4	f.	f.	PROPN
ap-4598	200	5	g.	g.	PROPN
ap-4598	200	6	scholz	scholz	PROPN
ap-4598	200	7	,	,	PUNCT
ap-4598	200	8	h.	h.	PROPN
ap-4598	200	9	b.	b.	PROPN
ap-4598	200	10	geyer	geyer	PROPN
ap-4598	200	11	,	,	PUNCT
ap-4598	200	12	f.	f.	PROPN
ap-4598	200	13	j.	j.	PROPN
ap-4598	200	14	hahne	hahne	PROPN
ap-4598	200	15	,	,	PUNCT
ap-4598	200	16	ann	ann	PROPN
ap-4598	200	17	.	.	PUNCT
ap-4598	201	1	phys	phys	PROPN
ap-4598	201	2	.	.	PUNCT
ap-4598	202	1	213	213	NUM
ap-4598	202	2	,	,	PUNCT
ap-4598	202	3	74	74	NUM
ap-4598	202	4	(	(	PUNCT
ap-4598	202	5	1992	1992	NUM
ap-4598	202	6	)	)	PUNCT
ap-4598	202	7	.	.	PUNCT
ap-4598	203	1	[	[	X
ap-4598	203	2	17	17	NUM
ap-4598	203	3	]	]	X
ap-4598	203	4	c.	c.	PROPN
ap-4598	203	5	m.	m.	PROPN
ap-4598	203	6	bender	bender	PROPN
ap-4598	203	7	,	,	PUNCT
ap-4598	203	8	rep	rep	PROPN
ap-4598	203	9	.	.	PROPN
ap-4598	203	10	prog	prog	PROPN
ap-4598	203	11	.	.	PUNCT
ap-4598	204	1	phys	phy	NOUN
ap-4598	204	2	.	.	PUNCT
ap-4598	205	1	70	70	NUM
ap-4598	205	2	,	,	PUNCT
ap-4598	205	3	947	947	NUM
ap-4598	205	4	(	(	PUNCT
ap-4598	205	5	2007	2007	NUM
ap-4598	205	6	)	)	PUNCT
ap-4598	205	7	.	.	PUNCT
ap-4598	206	1	[	[	X
ap-4598	206	2	18	18	NUM
ap-4598	206	3	]	]	PUNCT
ap-4598	206	4	a.	a.	NOUN
ap-4598	206	5	mostafazadeh	mostafazadeh	PROPN
ap-4598	206	6	,	,	PUNCT
ap-4598	206	7	int	int	PROPN
ap-4598	206	8	.	.	PUNCT
ap-4598	207	1	j.	j.	PROPN
ap-4598	207	2	geom	geom	PROPN
ap-4598	207	3	.	.	PUNCT
ap-4598	208	1	methods	methods	PROPN
ap-4598	208	2	mod	mod	PROPN
ap-4598	208	3	.	.	PUNCT
ap-4598	209	1	phys	phy	NOUN
ap-4598	209	2	.	.	PUNCT
ap-4598	210	1	07	07	NUM
ap-4598	210	2	,	,	PUNCT
ap-4598	210	3	1191	1191	NUM
ap-4598	210	4	(	(	PUNCT
ap-4598	210	5	2010	2010	NUM
ap-4598	210	6	)	)	PUNCT
ap-4598	210	7	.	.	PUNCT
ap-4598	211	1	[	[	X
ap-4598	211	2	19	19	NUM
ap-4598	211	3	]	]	X
ap-4598	211	4	c.	c.	PROPN
ap-4598	211	5	figueira	figueira	PROPN
ap-4598	211	6	de	de	PROPN
ap-4598	211	7	morisson	morisson	PROPN
ap-4598	211	8	faria	faria	PROPN
ap-4598	211	9	and	and	CCONJ
ap-4598	211	10	a.	a.	PROPN
ap-4598	211	11	fring	fring	PROPN
ap-4598	211	12	,	,	PUNCT
ap-4598	211	13	j.	j.	PROPN
ap-4598	211	14	phys	phys	PROPN
ap-4598	211	15	.	.	PUNCT
ap-4598	212	1	a	a	DET
ap-4598	212	2	:	:	PUNCT
ap-4598	212	3	math	math	NOUN
ap-4598	212	4	.	.	PUNCT
ap-4598	213	1	theor	theor	PROPN
ap-4598	213	2	.	.	PROPN
ap-4598	214	1	39	39	NUM
ap-4598	214	2	,	,	PUNCT
ap-4598	214	3	9269	9269	NUM
ap-4598	214	4	(	(	PUNCT
ap-4598	214	5	2006	2006	NUM
ap-4598	214	6	)	)	PUNCT
ap-4598	214	7	.	.	PUNCT
ap-4598	215	1	[	[	X
ap-4598	215	2	20	20	NUM
ap-4598	215	3	]	]	X
ap-4598	215	4	c.	c.	PROPN
ap-4598	215	5	figueira	figueira	PROPN
ap-4598	215	6	de	de	PROPN
ap-4598	215	7	morisson	morisson	PROPN
ap-4598	215	8	faria	faria	PROPN
ap-4598	215	9	and	and	CCONJ
ap-4598	215	10	a.	a.	NOUN
ap-4598	215	11	fring	fring	PROPN
ap-4598	215	12	,	,	PUNCT
ap-4598	215	13	laser	laser	NOUN
ap-4598	215	14	physics	physics	NOUN
ap-4598	215	15	17	17	NUM
ap-4598	215	16	,	,	PUNCT
ap-4598	215	17	424	424	NUM
ap-4598	215	18	[	[	X
ap-4598	215	19	21	21	NUM
ap-4598	215	20	]	]	PUNCT
ap-4598	215	21	a.mostafazadeh	a.mostafazadeh	NOUN
ap-4598	215	22	,	,	PUNCT
ap-4598	215	23	phys	phy	NOUN
ap-4598	215	24	.	.	PUNCT
ap-4598	216	1	lett	lett	PROPN
ap-4598	216	2	.	.	PUNCT
ap-4598	217	1	b	b	NOUN
ap-4598	217	2	650	650	NUM
ap-4598	217	3	,	,	PUNCT
ap-4598	217	4	208	208	NUM
ap-4598	217	5	(	(	PUNCT
ap-4598	217	6	2007	2007	NUM
ap-4598	217	7	)	)	PUNCT
ap-4598	217	8	.	.	PUNCT
ap-4598	218	1	[	[	X
ap-4598	218	2	22	22	NUM
ap-4598	218	3	]	]	PUNCT
ap-4598	218	4	m.	m.	NOUN
ap-4598	218	5	znojil	znojil	NOUN
ap-4598	218	6	,	,	PUNCT
ap-4598	218	7	phys	phy	NOUN
ap-4598	218	8	.	.	PUNCT
ap-4598	218	9	rev	rev	PROPN
ap-4598	218	10	.	.	PUNCT
ap-4598	219	1	d	d	PROPN
ap-4598	219	2	78	78	NUM
ap-4598	219	3	,	,	PUNCT
ap-4598	219	4	085003	085003	NUM
ap-4598	219	5	(	(	PUNCT
ap-4598	219	6	2008	2008	NUM
ap-4598	219	7	)	)	PUNCT
ap-4598	219	8	.	.	PUNCT
ap-4598	220	1	[	[	X
ap-4598	220	2	23	23	NUM
ap-4598	220	3	]	]	PUNCT
ap-4598	220	4	m.	m.	NOUN
ap-4598	220	5	znojil	znojil	PROPN
ap-4598	220	6	,	,	PUNCT
ap-4598	220	7	sigma	sigma	PROPN
ap-4598	220	8	5	5	NUM
ap-4598	220	9	.	.	NOUN
ap-4598	220	10	001	001	NUM
ap-4598	220	11	(	(	PUNCT
ap-4598	220	12	2009	2009	NUM
ap-4598	220	13	)	)	PUNCT
ap-4598	220	14	(	(	PUNCT
ap-4598	220	15	e	e	NOUN
ap-4598	220	16	-	-	NOUN
ap-4598	220	17	print	print	ADJ
ap-4598	220	18	overlay	overlay	NOUN
ap-4598	220	19	:	:	PUNCT
ap-4598	220	20	arxiv:0901.0700	arxiv:0901.0700	NUM
ap-4598	220	21	)	)	PUNCT
ap-4598	220	22	.	.	PUNCT
ap-4598	221	1	[	[	X
ap-4598	221	2	24	24	NUM
ap-4598	221	3	]	]	X
ap-4598	221	4	h.	h.	PROPN
ap-4598	221	5	b´ıla	b´ıla	PROPN
ap-4598	221	6	,	,	PUNCT
ap-4598	221	7	“	"	PUNCT
ap-4598	221	8	adiabatic	adiabatic	ADJ
ap-4598	221	9	time	time	NOUN
ap-4598	221	10	-	-	PUNCT
ap-4598	221	11	dependent	dependent	ADJ
ap-4598	221	12	metrics	metric	NOUN
ap-4598	221	13	in	in	ADP
ap-4598	221	14	pt	pt	ADJ
ap-4598	221	15	-	-	ADJ
ap-4598	221	16	symmetric	symmetric	ADJ
ap-4598	221	17	quantum	quantum	NOUN
ap-4598	221	18	theories	theory	NOUN
ap-4598	221	19	”	"	PUNCT
ap-4598	221	20	,	,	PUNCT
ap-4598	221	21	eprint	eprint	NOUN
ap-4598	221	22	arxiv	arxiv	PROPN
ap-4598	221	23	:	:	PUNCT
ap-4598	221	24	0902.0474	0902.0474	PROPN
ap-4598	221	25	.	.	PUNCT
ap-4598	222	1	[	[	X
ap-4598	222	2	25	25	NUM
ap-4598	222	3	]	]	PUNCT
ap-4598	222	4	j.	j.	PROPN
ap-4598	222	5	gong	gong	PROPN
ap-4598	222	6	and	and	CCONJ
ap-4598	222	7	q.	q.	PROPN
ap-4598	222	8	h.	h.	PROPN
ap-4598	222	9	wang	wang	PROPN
ap-4598	222	10	,	,	PUNCT
ap-4598	222	11	phys	phys	PROPN
ap-4598	222	12	.	.	PUNCT
ap-4598	222	13	rev	rev	PROPN
ap-4598	222	14	.	.	PUNCT
ap-4598	223	1	a	a	DET
ap-4598	223	2	82	82	NUM
ap-4598	223	3	,	,	PUNCT
ap-4598	223	4	012103	012103	NUM
ap-4598	223	5	(	(	PUNCT
ap-4598	223	6	2010	2010	NUM
ap-4598	223	7	)	)	PUNCT
ap-4598	224	1	[	[	X
ap-4598	224	2	26	26	NUM
ap-4598	224	3	]	]	PUNCT
ap-4598	224	4	j.	j.	PROPN
ap-4598	224	5	gong	gong	PROPN
ap-4598	224	6	and	and	CCONJ
ap-4598	224	7	q.	q.	PROPN
ap-4598	224	8	h.	h.	PROPN
ap-4598	224	9	wang	wang	PROPN
ap-4598	224	10	,	,	PUNCT
ap-4598	224	11	j.	j.	PROPN
ap-4598	224	12	phys	phys	PROPN
ap-4598	224	13	.	.	PUNCT
ap-4598	225	1	a	a	DET
ap-4598	225	2	46	46	NUM
ap-4598	225	3	,	,	PUNCT
ap-4598	225	4	485302	485302	NUM
ap-4598	225	5	(	(	PUNCT
ap-4598	225	6	2013	2013	NUM
ap-4598	225	7	)	)	PUNCT
ap-4598	225	8	.	.	PUNCT
ap-4598	226	1	[	[	X
ap-4598	226	2	27	27	NUM
ap-4598	226	3	]	]	PUNCT
ap-4598	226	4	m.	m.	NOUN
ap-4598	226	5	maamache	maamache	PROPN
ap-4598	226	6	,	,	PUNCT
ap-4598	226	7	phys	phy	NOUN
ap-4598	226	8	.	.	PUNCT
ap-4598	226	9	rev	rev	PROPN
ap-4598	226	10	.	.	PUNCT
ap-4598	227	1	a	a	DET
ap-4598	227	2	92	92	NUM
ap-4598	227	3	,	,	PUNCT
ap-4598	227	4	032106	032106	NUM
ap-4598	227	5	(	(	PUNCT
ap-4598	227	6	2015	2015	NUM
ap-4598	227	7	)	)	PUNCT
ap-4598	228	1	[	[	X
ap-4598	228	2	28	28	NUM
ap-4598	228	3	]	]	X
ap-4598	228	4	a.	a.	NOUN
ap-4598	228	5	fring	fring	NOUN
ap-4598	228	6	and	and	CCONJ
ap-4598	228	7	m.	m.	NOUN
ap-4598	228	8	h.	h.	PROPN
ap-4598	228	9	y.	y.	PROPN
ap-4598	228	10	moussa	moussa	PROPN
ap-4598	228	11	,	,	PUNCT
ap-4598	228	12	phys	phys	PROPN
ap-4598	228	13	.	.	PUNCT
ap-4598	229	1	rev	rev	PROPN
ap-4598	229	2	.	.	PUNCT
ap-4598	230	1	a	a	DET
ap-4598	230	2	93	93	NUM
ap-4598	230	3	,	,	PUNCT
ap-4598	230	4	042114	042114	NUM
ap-4598	230	5	(	(	PUNCT
ap-4598	230	6	2016	2016	NUM
ap-4598	230	7	)	)	PUNCT
ap-4598	230	8	.	.	PUNCT
ap-4598	231	1	[	[	X
ap-4598	231	2	29	29	NUM
ap-4598	231	3	]	]	X
ap-4598	231	4	a.	a.	NOUN
ap-4598	231	5	fring	fring	NOUN
ap-4598	231	6	and	and	CCONJ
ap-4598	231	7	m.h	m.h	PROPN
ap-4598	231	8	.	.	PROPN
ap-4598	231	9	y.	y.	PROPN
ap-4598	231	10	moussa	moussa	PROPN
ap-4598	231	11	,	,	PUNCT
ap-4598	231	12	phys	phys	PROPN
ap-4598	231	13	.	.	PUNCT
ap-4598	232	1	rev	rev	PROPN
ap-4598	232	2	.	.	PUNCT
ap-4598	233	1	a	a	DET
ap-4598	233	2	94	94	NUM
ap-4598	233	3	,	,	PUNCT
ap-4598	233	4	042128	042128	NUM
ap-4598	233	5	(	(	PUNCT
ap-4598	233	6	2016	2016	NUM
ap-4598	233	7	)	)	PUNCT
ap-4598	233	8	.	.	PUNCT
ap-4598	234	1	[	[	X
ap-4598	234	2	30	30	NUM
ap-4598	234	3	]	]	X
ap-4598	234	4	b.	b.	PROPN
ap-4598	234	5	khantoul	khantoul	PROPN
ap-4598	234	6	,	,	PUNCT
ap-4598	234	7	a.	a.	NOUN
ap-4598	234	8	bounames	bouname	NOUN
ap-4598	234	9	and	and	CCONJ
ap-4598	234	10	m.	m.	PROPN
ap-4598	234	11	maamache	maamache	PROPN
ap-4598	234	12	,	,	PUNCT
ap-4598	234	13	eur	eur	PROPN
ap-4598	235	1	.	.	PUNCT
ap-4598	235	2	phys	phy	NOUN
ap-4598	235	3	.	.	PUNCT
ap-4598	236	1	j.	j.	PROPN
ap-4598	236	2	plus	plus	CCONJ
ap-4598	236	3	132	132	NUM
ap-4598	236	4	:	:	SYM
ap-4598	236	5	258	258	NUM
ap-4598	236	6	(	(	PUNCT
ap-4598	236	7	2017	2017	NUM
ap-4598	236	8	)	)	PUNCT
ap-4598	236	9	.	.	PUNCT
ap-4598	237	1	[	[	X
ap-4598	237	2	31	31	NUM
ap-4598	237	3	]	]	PUNCT
ap-4598	237	4	a.	a.	NOUN
ap-4598	237	5	fring	fring	NOUN
ap-4598	237	6	and	and	CCONJ
ap-4598	237	7	t.	t.	PROPN
ap-4598	237	8	frith	frith	PROPN
ap-4598	237	9	,	,	PUNCT
ap-4598	237	10	phys	phy	NOUN
ap-4598	237	11	.	.	PUNCT
ap-4598	238	1	rev	rev	PROPN
ap-4598	238	2	.	.	PUNCT
ap-4598	239	1	a	a	DET
ap-4598	239	2	95	95	NUM
ap-4598	239	3	,	,	PUNCT
ap-4598	239	4	010102(r	010102(r	NOUN
ap-4598	239	5	)	)	PUNCT
ap-4598	239	6	(	(	PUNCT
ap-4598	239	7	2017	2017	NUM
ap-4598	239	8	)	)	PUNCT
ap-4598	239	9	.	.	PUNCT
ap-4598	240	1	[	[	X
ap-4598	240	2	32	32	NUM
ap-4598	240	3	]	]	PUNCT
ap-4598	240	4	f.	f.	PROPN
ap-4598	240	5	s.	s.	PROPN
ap-4598	240	6	luiz	luiz	PROPN
ap-4598	240	7	,	,	PUNCT
ap-4598	240	8	m.	m.	NOUN
ap-4598	240	9	a.	a.	NOUN
ap-4598	240	10	pontes	pontes	PROPN
ap-4598	240	11	and	and	CCONJ
ap-4598	240	12	m.	m.	NOUN
ap-4598	240	13	h.	h.	PROPN
ap-4598	240	14	y.	y.	PROPN
ap-4598	240	15	moussa	moussa	PROPN
ap-4598	240	16	,	,	PUNCT
ap-4598	240	17	unitarity	unitarity	NOUN
ap-4598	240	18	of	of	ADP
ap-4598	240	19	the	the	DET
ap-4598	240	20	time	time	NOUN
ap-4598	240	21	-	-	PUNCT
ap-4598	240	22	evolution	evolution	NOUN
ap-4598	240	23	and	and	CCONJ
ap-4598	240	24	observability	observability	NOUN
ap-4598	240	25	of	of	ADP
ap-4598	240	26	non	non	ADJ
ap-4598	240	27	-	-	ADJ
ap-4598	240	28	hermitian	hermitian	ADJ
ap-4598	240	29	hamiltonians	hamiltonian	NOUN
ap-4598	240	30	for	for	ADP
ap-4598	240	31	time	time	NOUN
ap-4598	240	32	-	-	PUNCT
ap-4598	240	33	dependent	dependent	ADJ
ap-4598	240	34	dyson	dyson	NOUN
ap-4598	240	35	maps	map	NOUN
ap-4598	240	36	.	.	PUNCT
ap-4598	241	1	arxiv:1611.08286	arxiv:1611.08286	ADJ
ap-4598	241	2	.	.	PUNCT
ap-4598	242	1	[	[	X
ap-4598	242	2	33	33	NUM
ap-4598	242	3	]	]	PUNCT
ap-4598	242	4	f.	f.	PROPN
ap-4598	242	5	s.	s.	PROPN
ap-4598	242	6	luiz	luiz	PROPN
ap-4598	242	7	,	,	PUNCT
ap-4598	242	8	m.	m.	NOUN
ap-4598	242	9	a.	a.	NOUN
ap-4598	242	10	pontes	pontes	PROPN
ap-4598	242	11	and	and	CCONJ
ap-4598	242	12	m.	m.	NOUN
ap-4598	242	13	h.	h.	PROPN
ap-4598	242	14	y.	y.	PROPN
ap-4598	242	15	moussa	moussa	PROPN
ap-4598	242	16	,	,	PUNCT
ap-4598	242	17	gauge	gauge	NOUN
ap-4598	242	18	linked	link	VERB
ap-4598	242	19	time	time	NOUN
ap-4598	242	20	-	-	PUNCT
ap-4598	242	21	dependent	dependent	ADJ
ap-4598	242	22	non	non	ADJ
ap-4598	242	23	-	-	ADJ
ap-4598	242	24	hermitian	hermitian	ADJ
ap-4598	242	25	hamiltonians	hamiltonian	NOUN
ap-4598	242	26	.	.	PUNCT
ap-4598	243	1	arxiv:1703.01451	arxiv:1703.01451	PROPN
ap-4598	243	2	.	.	PUNCT
ap-4598	244	1	evolution	evolution	NOUN
ap-4598	244	2	of	of	ADP
ap-4598	244	3	the	the	DET
ap-4598	244	4	time	time	NOUN
ap-4598	244	5	-	-	PUNCT
ap-4598	244	6	dependent	dependent	ADJ
ap-4598	244	7	non	non	ADJ
ap-4598	244	8	-	-	ADJ
ap-4598	244	9	hermitian	hermitian	ADJ
ap-4598	244	10	hamiltonians	hamiltonian	NOUN
ap-4598	244	11	:	:	PUNCT
ap-4598	244	12	real	real	ADJ
ap-4598	244	13	phases	phase	NOUN
ap-4598	244	14	,	,	PUNCT
ap-4598	244	15	arxiv:1705.06341	arxiv:1705.06341	NOUN
ap-4598	244	16	.	.	PUNCT
ap-4598	245	1	[	[	X
ap-4598	245	2	34	34	NUM
ap-4598	245	3	]	]	X
ap-4598	245	4	m.	m.	NOUN
ap-4598	245	5	maamache	maamache	PROPN
ap-4598	245	6	,	,	PUNCT
ap-4598	245	7	o	o	PROPN
ap-4598	245	8	-	-	PROPN
ap-4598	245	9	k.	k.	PROPN
ap-4598	245	10	djeghiour	djeghiour	NOUN
ap-4598	245	11	,	,	PUNCT
ap-4598	245	12	n.	n.	PROPN
ap-4598	245	13	mana	mana	PROPN
ap-4598	245	14	and	and	CCONJ
ap-4598	245	15	w.	w.	PROPN
ap-4598	245	16	koussa	koussa	PROPN
ap-4598	245	17	,	,	PUNCT
ap-4598	245	18	eur	eur	PROPN
ap-4598	245	19	.	.	PUNCT
ap-4598	246	1	phys	phy	NOUN
ap-4598	246	2	.	.	PUNCT
ap-4598	247	1	j.	j.	PROPN
ap-4598	247	2	plus	plus	CCONJ
ap-4598	247	3	132	132	NUM
ap-4598	247	4	,	,	PUNCT
ap-4598	247	5	383	383	NUM
ap-4598	247	6	(	(	PUNCT
ap-4598	247	7	2017	2017	NUM
ap-4598	247	8	)	)	PUNCT
ap-4598	247	9	.	.	PUNCT
ap-4598	248	1	[	[	X
ap-4598	248	2	35	35	NUM
ap-4598	248	3	]	]	PUNCT
ap-4598	248	4	m.	m.	NOUN
ap-4598	248	5	maamache	maamache	PROPN
ap-4598	248	6	,	,	PUNCT
ap-4598	248	7	o	o	PROPN
ap-4598	248	8	-	-	PROPN
ap-4598	248	9	k.	k.	PROPN
ap-4598	248	10	djeghiour	djeghiour	PROPN
ap-4598	248	11	,	,	PUNCT
ap-4598	248	12	w.	w.	PROPN
ap-4598	248	13	koussa	koussa	PROPN
ap-4598	248	14	and	and	CCONJ
ap-4598	248	15	n.	n.	PROPN
ap-4598	248	16	mana	mana	PROPN
ap-4598	248	17	,	,	PUNCT
ap-4598	248	18	time	time	NOUN
ap-4598	248	19	evolution	evolution	NOUN
ap-4598	248	20	of	of	ADP
ap-4598	248	21	quantum	quantum	NOUN
ap-4598	248	22	systems	system	NOUN
ap-4598	248	23	with	with	ADP
ap-4598	248	24	time	time	NOUN
ap-4598	248	25	-	-	PUNCT
ap-4598	248	26	dependent	dependent	ADJ
ap-4598	248	27	non	non	ADJ
ap-4598	248	28	-	-	ADJ
ap-4598	248	29	hermitian	hermitian	ADJ
ap-4598	248	30	hamiltonian	hamiltonian	NOUN
ap-4598	248	31	and	and	CCONJ
ap-4598	248	32	the	the	DET
ap-4598	248	33	pseudo	pseudo	NOUN
ap-4598	248	34	hermitian	hermitian	ADJ
ap-4598	248	35	invariant	invariant	ADJ
ap-4598	248	36	operator	operator	NOUN
ap-4598	248	37	,	,	PUNCT
ap-4598	248	38	arxiv:1705.08298	arxiv:1705.08298	NOUN
ap-4598	248	39	.	.	PUNCT
ap-4598	249	1	[	[	X
ap-4598	249	2	36	36	NUM
ap-4598	249	3	]	]	X
ap-4598	249	4	f.	f.	PROPN
ap-4598	249	5	bagarello	bagarello	PROPN
ap-4598	249	6	,	,	PUNCT
ap-4598	249	7	j.	j.	PROPN
ap-4598	249	8	p.	p.	PROPN
ap-4598	249	9	gazeau	gazeau	PROPN
ap-4598	249	10	,	,	PUNCT
ap-4598	249	11	f.	f.	PROPN
ap-4598	249	12	h.	h.	PROPN
ap-4598	249	13	szafraniec	szafraniec	PROPN
ap-4598	249	14	and	and	CCONJ
ap-4598	249	15	m.	m.	NOUN
ap-4598	249	16	znojil	znojil	NOUN
ap-4598	249	17	,	,	PUNCT
ap-4598	249	18	“	"	PUNCT
ap-4598	249	19	non	non	ADJ
ap-4598	249	20	-	-	ADJ
ap-4598	249	21	selfadjoint	selfadjoint	ADJ
ap-4598	249	22	operators	operator	NOUN
ap-4598	249	23	in	in	ADP
ap-4598	249	24	quantum	quantum	ADJ
ap-4598	249	25	physics	physics	NOUN
ap-4598	249	26	:	:	PUNCT
ap-4598	249	27	mathematical	mathematical	ADJ
ap-4598	249	28	aspects	aspect	NOUN
ap-4598	249	29	”	"	PUNCT
ap-4598	249	30	wiley	wiley	NOUN
ap-4598	249	31	(	(	PUNCT
ap-4598	249	32	2015	2015	NUM
ap-4598	249	33	)	)	PUNCT
ap-4598	249	34	.	.	PUNCT
ap-4598	250	1	[	[	X
ap-4598	250	2	37	37	NUM
ap-4598	250	3	]	]	PUNCT
ap-4598	250	4	a.	a.	PROPN
ap-4598	250	5	b.	b.	PROPN
ap-4598	250	6	klimov	klimov	PROPN
ap-4598	250	7	and	and	CCONJ
ap-4598	250	8	s.	s.	PROPN
ap-4598	250	9	m.	m.	PROPN
ap-4598	250	10	chumakov	chumakov	PROPN
ap-4598	250	11	,	,	PUNCT
ap-4598	250	12	a	a	DET
ap-4598	250	13	group	group	NOUN
ap-4598	250	14	-	-	PUNCT
ap-4598	250	15	theoretical	theoretical	ADJ
ap-4598	250	16	approach	approach	NOUN
ap-4598	250	17	to	to	ADP
ap-4598	250	18	quantum	quantum	ADJ
ap-4598	250	19	optics	optic	NOUN
ap-4598	250	20	:	:	PUNCT
ap-4598	250	21	models	model	NOUN
ap-4598	250	22	of	of	ADP
ap-4598	250	23	atom	atom	NOUN
ap-4598	250	24	-	-	PUNCT
ap-4598	250	25	field	field	NOUN
ap-4598	250	26	interactions	interaction	NOUN
ap-4598	250	27	(	(	PUNCT
ap-4598	250	28	wiley	wiley	PROPN
ap-4598	250	29	-	-	PUNCT
ap-4598	250	30	vch	vch	PROPN
ap-4598	250	31	,	,	PUNCT
ap-4598	250	32	weinheim	weinheim	PROPN
ap-4598	250	33	,	,	PUNCT
ap-4598	250	34	2009	2009	NUM
ap-4598	250	35	)	)	PUNCT
ap-4598	250	36	.	.	PUNCT
ap-4598	251	1	[	[	X
ap-4598	251	2	38	38	NUM
ap-4598	251	3	]	]	PUNCT
ap-4598	251	4	s.	s.	PROPN
ap-4598	251	5	m.	m.	PROPN
ap-4598	251	6	barnett	barnett	PROPN
ap-4598	251	7	and	and	CCONJ
ap-4598	251	8	p.	p.	PROPN
ap-4598	251	9	radmore	radmore	PROPN
ap-4598	251	10	,	,	PUNCT
ap-4598	251	11	methods	method	NOUN
ap-4598	251	12	in	in	ADP
ap-4598	251	13	theoretical	theoretical	ADJ
ap-4598	251	14	quantum	quantum	NOUN
ap-4598	251	15	optics	optic	NOUN
ap-4598	251	16	(	(	PUNCT
ap-4598	251	17	oxford	oxford	PROPN
ap-4598	251	18	university	university	PROPN
ap-4598	251	19	press	press	NOUN
ap-4598	251	20	,	,	PUNCT
ap-4598	251	21	new	new	PROPN
ap-4598	251	22	york	york	PROPN
ap-4598	251	23	,	,	PUNCT
ap-4598	251	24	1997	1997	NUM
ap-4598	251	25	)	)	PUNCT
ap-4598	251	26	.	.	PUNCT
ap-4598	252	1	[	[	X
ap-4598	252	2	39	39	NUM
ap-4598	252	3	]	]	PUNCT
ap-4598	252	4	z.	z.	PROPN
ap-4598	252	5	ahmed	ahmed	PROPN
ap-4598	252	6	,	,	PUNCT
ap-4598	252	7	phys	phy	NOUN
ap-4598	252	8	.	.	PUNCT
ap-4598	253	1	lett	lett	PROPN
ap-4598	253	2	.	.	PUNCT
ap-4598	254	1	a	a	DET
ap-4598	254	2	294	294	NUM
ap-4598	254	3	,	,	PUNCT
ap-4598	254	4	287	287	NUM
ap-4598	254	5	(	(	PUNCT
ap-4598	254	6	2002	2002	NUM
ap-4598	254	7	)	)	PUNCT
ap-4598	254	8	.	.	PUNCT
ap-4598	255	1	[	[	X
ap-4598	255	2	40	40	NUM
ap-4598	255	3	]	]	PUNCT
ap-4598	255	4	m.	m.	PROPN
ap-4598	255	5	s.	s.	PROPN
ap-4598	255	6	swanson	swanson	PROPN
ap-4598	255	7	,	,	PUNCT
ap-4598	255	8	j.	j.	PROPN
ap-4598	255	9	math	math	PROPN
ap-4598	255	10	.	.	PUNCT
ap-4598	256	1	phys	phy	NOUN
ap-4598	256	2	.	.	PUNCT
ap-4598	257	1	45	45	NUM
ap-4598	257	2	,	,	PUNCT
ap-4598	257	3	585	585	NUM
ap-4598	257	4	(	(	PUNCT
ap-4598	257	5	2004	2004	NUM
ap-4598	257	6	)	)	PUNCT
ap-4598	257	7	.	.	PUNCT
ap-4598	258	1	[	[	X
ap-4598	258	2	41	41	NUM
ap-4598	258	3	]	]	X
ap-4598	258	4	h.	h.	PROPN
ap-4598	258	5	f.	f.	PROPN
ap-4598	258	6	jones	jones	PROPN
ap-4598	258	7	,	,	PUNCT
ap-4598	258	8	j.	j.	PROPN
ap-4598	258	9	phys	phys	PROPN
ap-4598	258	10	.	.	PUNCT
ap-4598	259	1	a	a	DET
ap-4598	259	2	38	38	NUM
ap-4598	259	3	,	,	PUNCT
ap-4598	259	4	1741	1741	NUM
ap-4598	259	5	(	(	PUNCT
ap-4598	259	6	2005	2005	NUM
ap-4598	259	7	)	)	PUNCT
ap-4598	259	8	.	.	PUNCT
ap-4598	260	1	[	[	X
ap-4598	260	2	42	42	NUM
ap-4598	260	3	]	]	PUNCT
ap-4598	260	4	b.	b.	PROPN
ap-4598	260	5	bagchi	bagchi	PROPN
ap-4598	260	6	,	,	PUNCT
ap-4598	260	7	c.	c.	PROPN
ap-4598	260	8	quesne	quesne	NOUN
ap-4598	260	9	and	and	CCONJ
ap-4598	260	10	r.	r.	PROPN
ap-4598	260	11	roychoudhury	roychoudhury	PROPN
ap-4598	260	12	,	,	PUNCT
ap-4598	260	13	j.	j.	PROPN
ap-4598	260	14	phys	phys	PROPN
ap-4598	260	15	.	.	PUNCT
ap-4598	261	1	a	a	DET
ap-4598	261	2	38	38	NUM
ap-4598	261	3	,	,	PUNCT
ap-4598	261	4	l647	l647	PROPN
ap-4598	261	5	(	(	PUNCT
ap-4598	261	6	2005	2005	NUM
ap-4598	261	7	)	)	PUNCT
ap-4598	261	8	.	.	PUNCT
ap-4598	262	1	[	[	X
ap-4598	262	2	43	43	NUM
ap-4598	262	3	]	]	X
ap-4598	262	4	d.p	d.p	PROPN
ap-4598	262	5	.	.	PROPN
ap-4598	262	6	musumbu	musumbu	PROPN
ap-4598	262	7	,	,	PUNCT
ap-4598	262	8	h.b	h.b	PROPN
ap-4598	262	9	.	.	PROPN
ap-4598	262	10	geyer	geyer	PROPN
ap-4598	262	11	and	and	CCONJ
ap-4598	262	12	w.d	w.d	PROPN
ap-4598	262	13	.	.	PROPN
ap-4598	262	14	heiss	heiss	PROPN
ap-4598	262	15	,	,	PUNCT
ap-4598	262	16	j.	j.	PROPN
ap-4598	262	17	phys	phys	PROPN
ap-4598	262	18	.	.	PUNCT
ap-4598	263	1	a	a	DET
ap-4598	263	2	40	40	NUM
ap-4598	263	3	,	,	PUNCT
ap-4598	263	4	f75	f75	X
ap-4598	263	5	(	(	PUNCT
ap-4598	263	6	2007	2007	NUM
ap-4598	263	7	)	)	PUNCT
ap-4598	263	8	.	.	PUNCT
ap-4598	264	1	[	[	X
ap-4598	264	2	44	44	NUM
ap-4598	264	3	]	]	PUNCT
ap-4598	264	4	c.	c.	NOUN
ap-4598	264	5	quesne	quesne	NOUN
ap-4598	264	6	,	,	PUNCT
ap-4598	264	7	j.	j.	PROPN
ap-4598	264	8	phys	phys	PROPN
ap-4598	264	9	.	.	PUNCT
ap-4598	265	1	a	a	DET
ap-4598	265	2	40	40	NUM
ap-4598	265	3	,	,	PUNCT
ap-4598	265	4	f745	f745	PROPN
ap-4598	265	5	(	(	PUNCT
ap-4598	265	6	2007	2007	NUM
ap-4598	265	7	)	)	PUNCT
ap-4598	265	8	.	.	PUNCT
ap-4598	266	1	[	[	X
ap-4598	266	2	45	45	NUM
ap-4598	266	3	]	]	PUNCT
ap-4598	266	4	a.	a.	NOUN
ap-4598	266	5	sinha	sinha	PROPN
ap-4598	266	6	and	and	CCONJ
ap-4598	266	7	p.	p.	PROPN
ap-4598	266	8	roy	roy	PROPN
ap-4598	266	9	,	,	PUNCT
ap-4598	266	10	j.	j.	PROPN
ap-4598	266	11	phys	phys	PROPN
ap-4598	266	12	.	.	PUNCT
ap-4598	267	1	a	a	DET
ap-4598	267	2	40	40	NUM
ap-4598	267	3	,	,	PUNCT
ap-4598	267	4	10599	10599	NUM
ap-4598	267	5	(	(	PUNCT
ap-4598	267	6	2007	2007	NUM
ap-4598	267	7	)	)	PUNCT
ap-4598	267	8	.	.	PUNCT
ap-4598	268	1	[	[	X
ap-4598	268	2	46	46	NUM
ap-4598	268	3	]	]	X
ap-4598	268	4	eva	eva	PROPN
ap-4598	268	5	-	-	PUNCT
ap-4598	268	6	maria	maria	PROPN
ap-4598	268	7	graefe	graefe	NOUN
ap-4598	268	8	,	,	PUNCT
ap-4598	268	9	hans	hans	PROPN
ap-4598	268	10	jurgen	jurgen	PROPN
ap-4598	268	11	korsch	korsch	PROPN
ap-4598	268	12	,	,	PUNCT
ap-4598	268	13	alexander	alexander	PROPN
ap-4598	268	14	rush	rush	NOUN
ap-4598	268	15	and	and	CCONJ
ap-4598	268	16	roman	roman	PROPN
ap-4598	268	17	schubert	schubert	PROPN
ap-4598	268	18	,	,	PUNCT
ap-4598	268	19	j.	j.	PROPN
ap-4598	268	20	phys	phys	PROPN
ap-4598	268	21	.	.	PUNCT
ap-4598	269	1	a	a	DET
ap-4598	269	2	48	48	NUM
ap-4598	269	3	,	,	PUNCT
ap-4598	269	4	055301	055301	NUM
ap-4598	269	5	(	(	PUNCT
ap-4598	269	6	2015	2015	NUM
ap-4598	269	7	)	)	PUNCT
ap-4598	269	8	.	.	PUNCT
ap-4598	270	1	[	[	X
ap-4598	270	2	47	47	NUM
ap-4598	270	3	]	]	PUNCT
ap-4598	270	4	j.	j.	PROPN
ap-4598	270	5	c.	c.	PROPN
ap-4598	270	6	garrison	garrison	PROPN
ap-4598	270	7	and	and	CCONJ
ap-4598	270	8	e.	e.	PROPN
ap-4598	270	9	m.	m.	PROPN
ap-4598	270	10	wright	wright	PROPN
ap-4598	270	11	,	,	PUNCT
ap-4598	270	12	phys	phys	PROPN
ap-4598	270	13	.	.	PUNCT
ap-4598	271	1	lett	lett	PROPN
ap-4598	271	2	.	.	PUNCT
ap-4598	272	1	a	a	DET
ap-4598	272	2	128	128	NUM
ap-4598	272	3	,	,	PUNCT
ap-4598	272	4	177	177	NUM
ap-4598	272	5	(	(	PUNCT
ap-4598	272	6	1988	1988	NUM
ap-4598	272	7	)	)	PUNCT
ap-4598	272	8	.	.	PUNCT
ap-4598	273	1	[	[	X
ap-4598	273	2	48	48	NUM
ap-4598	273	3	]	]	PUNCT
ap-4598	273	4	g.	g.	NOUN
ap-4598	273	5	dattoli	dattoli	PROPN
ap-4598	273	6	,	,	PUNCT
ap-4598	273	7	r.	r.	PROPN
ap-4598	273	8	mignani	mignani	PROPN
ap-4598	273	9	,	,	PUNCT
ap-4598	273	10	and	and	CCONJ
ap-4598	273	11	a.	a.	PROPN
ap-4598	273	12	torre	torre	PROPN
ap-4598	273	13	,	,	PUNCT
ap-4598	273	14	j.	j.	PROPN
ap-4598	273	15	phys	phys	PROPN
ap-4598	273	16	.	.	PUNCT
ap-4598	274	1	a	a	DET
ap-4598	274	2	23	23	NUM
ap-4598	274	3	,	,	PUNCT
ap-4598	274	4	5795	5795	NUM
ap-4598	274	5	(	(	PUNCT
ap-4598	274	6	1990	1990	NUM
ap-4598	274	7	)	)	PUNCT
ap-4598	274	8	.	.	PUNCT
ap-4598	275	1	[	[	X
ap-4598	275	2	49	49	NUM
ap-4598	275	3	]	]	PUNCT
ap-4598	275	4	c.	c.	PROPN
ap-4598	275	5	miniature	miniature	PROPN
ap-4598	275	6	,	,	PUNCT
ap-4598	275	7	c.	c.	PROPN
ap-4598	275	8	sire	sire	NOUN
ap-4598	275	9	,	,	PUNCT
ap-4598	275	10	j.	j.	PROPN
ap-4598	275	11	baudon	baudon	PROPN
ap-4598	275	12	,	,	PUNCT
ap-4598	275	13	and	and	CCONJ
ap-4598	275	14	j.	j.	PROPN
ap-4598	275	15	bellissard	bellissard	PROPN
ap-4598	275	16	,	,	PUNCT
ap-4598	275	17	europhys	europhys	PROPN
ap-4598	275	18	.	.	PUNCT
ap-4598	276	1	lett	lett	PROPN
ap-4598	276	2	.	.	PROPN
ap-4598	277	1	13	13	NUM
ap-4598	277	2	,	,	PUNCT
ap-4598	277	3	199	199	NUM
ap-4598	277	4	(	(	PUNCT
ap-4598	277	5	1990	1990	NUM
ap-4598	277	6	)	)	PUNCT
ap-4598	277	7	.	.	PUNCT
ap-4598	278	1	[	[	X
ap-4598	278	2	50	50	NUM
ap-4598	278	3	]	]	PUNCT
ap-4598	278	4	a.	a.	NOUN
ap-4598	278	5	mondragon	mondragon	PROPN
ap-4598	278	6	and	and	CCONJ
ap-4598	278	7	e.	e.	PROPN
ap-4598	278	8	hernandez	hernandez	PROPN
ap-4598	278	9	,	,	PUNCT
ap-4598	278	10	j.	j.	PROPN
ap-4598	278	11	phys	phys	PROPN
ap-4598	278	12	.	.	PUNCT
ap-4598	279	1	a	a	DET
ap-4598	279	2	29	29	NUM
ap-4598	279	3	,	,	PUNCT
ap-4598	279	4	2567	2567	NUM
ap-4598	279	5	(	(	PUNCT
ap-4598	279	6	1996	1996	NUM
ap-4598	279	7	)	)	PUNCT
ap-4598	279	8	;	;	PUNCT
ap-4598	280	1	[	[	X
ap-4598	280	2	51	51	NUM
ap-4598	280	3	]	]	PUNCT
ap-4598	280	4	a.	a.	NOUN
ap-4598	280	5	mostafazadeh	mostafazadeh	PROPN
ap-4598	280	6	,	,	PUNCT
ap-4598	280	7	phys	phy	NOUN
ap-4598	280	8	.	.	PUNCT
ap-4598	281	1	lett	lett	PROPN
ap-4598	281	2	.	.	PUNCT
ap-4598	282	1	a	a	DET
ap-4598	282	2	264	264	NUM
ap-4598	282	3	,	,	PUNCT
ap-4598	282	4	11	11	NUM
ap-4598	282	5	(	(	PUNCT
ap-4598	282	6	1999	1999	NUM
ap-4598	282	7	)	)	PUNCT
ap-4598	282	8	.	.	PUNCT
ap-4598	283	1	[	[	X
ap-4598	283	2	52	52	NUM
ap-4598	283	3	]	]	PUNCT
ap-4598	283	4	x.-c	x.-c	PROPN
ap-4598	283	5	.	.	PUNCT
ap-4598	284	1	gao	gao	PROPN
ap-4598	284	2	,	,	PUNCT
ap-4598	284	3	j.-b	j.-b	PROPN
ap-4598	284	4	.	.	PUNCT
ap-4598	285	1	xu	xu	INTJ
ap-4598	285	2	,	,	PUNCT
ap-4598	285	3	and	and	CCONJ
ap-4598	285	4	t.-z	t.-z	PROPN
ap-4598	285	5	.	.	PUNCT
ap-4598	286	1	qian	qian	PROPN
ap-4598	286	2	,	,	PUNCT
ap-4598	286	3	phys	phys	PROPN
ap-4598	286	4	.	.	PUNCT
ap-4598	286	5	rev	rev	PROPN
ap-4598	286	6	.	.	PROPN
ap-4598	287	1	a	a	DET
ap-4598	287	2	46	46	NUM
ap-4598	287	3	,	,	PUNCT
ap-4598	287	4	3626	3626	NUM
ap-4598	287	5	(	(	PUNCT
ap-4598	287	6	1992	1992	NUM
ap-4598	287	7	)	)	PUNCT
ap-4598	287	8	.	.	PUNCT
ap-4598	288	1	[	[	X
ap-4598	288	2	53	53	NUM
ap-4598	288	3	]	]	X
ap-4598	288	4	h.	h.	PROPN
ap-4598	288	5	choutri	choutri	PROPN
ap-4598	288	6	,	,	PUNCT
ap-4598	288	7	m.	m.	NOUN
ap-4598	288	8	maamache	maamache	PROPN
ap-4598	288	9	,	,	PUNCT
ap-4598	288	10	and	and	CCONJ
ap-4598	288	11	s.	s.	PROPN
ap-4598	288	12	menouar	menouar	PROPN
ap-4598	288	13	,	,	PUNCT
ap-4598	288	14	j.	j.	PROPN
ap-4598	288	15	korean	korean	PROPN
ap-4598	288	16	phys	phys	PROPN
ap-4598	288	17	.	.	PUNCT
ap-4598	289	1	soc	soc	PROPN
ap-4598	289	2	.	.	PUNCT
ap-4598	290	1	40	40	NUM
ap-4598	290	2	,	,	PUNCT
ap-4598	290	3	358	358	NUM
ap-4598	290	4	(	(	PUNCT
ap-4598	290	5	2002	2002	NUM
ap-4598	290	6	)	)	PUNCT
ap-4598	290	7	.	.	PUNCT
ap-4598	291	1	429	429	NUM
ap-4598	291	2	acta	acta	PROPN
ap-4598	291	3	polytechnica	polytechnica	PROPN
ap-4598	291	4	57(6):424–429	57(6):424–429	PROPN
ap-4598	291	5	,	,	PUNCT
ap-4598	291	6	2017	2017	NUM
ap-4598	291	7	1	1	NUM
ap-4598	291	8	introduction	introduction	NOUN
ap-4598	291	9	2	2	NUM
ap-4598	291	10	formalism	formalism	NOUN
ap-4598	291	11	3	3	NUM
ap-4598	291	12	application	application	NOUN
ap-4598	291	13	:	:	PUNCT
ap-4598	291	14	su(1	su(1	NOUN
ap-4598	291	15	,	,	PUNCT
ap-4598	291	16	1	1	NUM
ap-4598	291	17	)	)	PUNCT
ap-4598	291	18	and	and	CCONJ
ap-4598	291	19	su(2	su(2	NOUN
ap-4598	291	20	)	)	PUNCT
ap-4598	291	21	non	non	ADJ
ap-4598	291	22	-	-	ADJ
ap-4598	291	23	hermitian	hermitian	ADJ
ap-4598	291	24	time	time	NOUN
ap-4598	291	25	-	-	PUNCT
ap-4598	291	26	dependent	dependent	ADJ
ap-4598	291	27	systems	system	NOUN
ap-4598	291	28	4	4	NUM
ap-4598	291	29	conclusion	conclusion	NOUN
ap-4598	291	30	acknowledgements	acknowledgement	NOUN
ap-4598	291	31	references	reference	NOUN