id	sid	tid	token	lemma	pos
ap-2095	1	1	acta	acta	PROPN
ap-2095	1	2	polytechnica	polytechnica	PROPN
ap-2095	1	3	doi:10.14311	doi:10.14311	PROPN
ap-2095	1	4	/	/	SYM
ap-2095	1	5	ap.2014.54.0139	ap.2014.54.0139	PROPN
ap-2095	1	6	acta	acta	PROPN
ap-2095	1	7	polytechnica	polytechnica	PROPN
ap-2095	1	8	54(2):139–141	54(2):139–141	PROPN
ap-2095	1	9	,	,	PUNCT
ap-2095	1	10	2014	2014	NUM
ap-2095	1	11	©	©	PROPN
ap-2095	1	12	czech	czech	PROPN
ap-2095	1	13	technical	technical	PROPN
ap-2095	1	14	university	university	PROPN
ap-2095	1	15	in	in	ADP
ap-2095	1	16	prague	prague	PROPN
ap-2095	1	17	,	,	PUNCT
ap-2095	1	18	2014	2014	NUM
ap-2095	1	19	available	available	ADJ
ap-2095	1	20	online	online	ADV
ap-2095	1	21	at	at	ADP
ap-2095	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2095	1	23	a	a	DET
ap-2095	1	24	differential	differential	ADJ
ap-2095	1	25	integrability	integrability	NOUN
ap-2095	1	26	condition	condition	NOUN
ap-2095	1	27	for	for	ADP
ap-2095	1	28	two	two	NUM
ap-2095	1	29	-	-	PUNCT
ap-2095	1	30	dimensional	dimensional	ADJ
ap-2095	1	31	hamiltonian	hamiltonian	ADJ
ap-2095	1	32	systems	system	NOUN
ap-2095	1	33	ali	ali	PROPN
ap-2095	1	34	mostafazadeh	mostafazadeh	PROPN
ap-2095	1	35	department	department	PROPN
ap-2095	1	36	of	of	ADP
ap-2095	1	37	mathematics	mathematics	PROPN
ap-2095	1	38	,	,	PUNCT
ap-2095	1	39	koç	koç	PROPN
ap-2095	1	40	university	university	PROPN
ap-2095	1	41	,	,	PUNCT
ap-2095	1	42	34450	34450	NUM
ap-2095	1	43	sarıyer	sarıyer	NOUN
ap-2095	1	44	,	,	PUNCT
ap-2095	1	45	istanbul	istanbul	PROPN
ap-2095	1	46	,	,	PUNCT
ap-2095	1	47	turkey	turkey	NOUN
ap-2095	1	48	correspondence	correspondence	NOUN
ap-2095	1	49	:	:	PUNCT
ap-2095	2	1	amostafazadeh@ku.edu.tr	amostafazadeh@ku.edu.tr	PROPN
ap-2095	2	2	abstract	abstract	NOUN
ap-2095	2	3	.	.	PUNCT
ap-2095	3	1	we	we	PRON
ap-2095	3	2	review	review	VERB
ap-2095	3	3	,	,	PUNCT
ap-2095	3	4	restate	restate	VERB
ap-2095	3	5	,	,	PUNCT
ap-2095	3	6	and	and	CCONJ
ap-2095	3	7	prove	prove	VERB
ap-2095	3	8	a	a	DET
ap-2095	3	9	result	result	NOUN
ap-2095	3	10	due	due	ADP
ap-2095	3	11	to	to	ADP
ap-2095	3	12	kaushal	kaushal	PROPN
ap-2095	3	13	and	and	CCONJ
ap-2095	3	14	korsch	korsch	VERB
ap-2095	4	1	[	[	X
ap-2095	4	2	phys	phy	NOUN
ap-2095	4	3	.	.	PUNCT
ap-2095	5	1	lett	lett	PROPN
ap-2095	5	2	.	.	PUNCT
ap-2095	6	1	a	a	DET
ap-2095	6	2	276	276	NUM
ap-2095	6	3	,	,	PUNCT
ap-2095	6	4	47	47	NUM
ap-2095	6	5	(	(	PUNCT
ap-2095	6	6	2000	2000	NUM
ap-2095	6	7	)	)	PUNCT
ap-2095	6	8	]	]	PUNCT
ap-2095	6	9	on	on	ADP
ap-2095	6	10	the	the	DET
ap-2095	6	11	complete	complete	ADJ
ap-2095	6	12	integrability	integrability	NOUN
ap-2095	6	13	of	of	ADP
ap-2095	6	14	two	two	NUM
ap-2095	6	15	-	-	PUNCT
ap-2095	6	16	dimensional	dimensional	ADJ
ap-2095	6	17	hamiltonian	hamiltonian	ADJ
ap-2095	6	18	systems	system	NOUN
ap-2095	6	19	whose	whose	DET
ap-2095	6	20	hamiltonian	hamiltonian	ADJ
ap-2095	6	21	satisfies	satisfy	VERB
ap-2095	6	22	a	a	DET
ap-2095	6	23	set	set	NOUN
ap-2095	6	24	of	of	ADP
ap-2095	6	25	four	four	NUM
ap-2095	6	26	linear	linear	ADJ
ap-2095	6	27	second	second	ADJ
ap-2095	6	28	order	order	NOUN
ap-2095	6	29	partial	partial	ADJ
ap-2095	6	30	differential	differential	NOUN
ap-2095	6	31	equations	equation	NOUN
ap-2095	6	32	.	.	PUNCT
ap-2095	7	1	in	in	ADP
ap-2095	7	2	particular	particular	ADJ
ap-2095	7	3	,	,	PUNCT
ap-2095	7	4	we	we	PRON
ap-2095	7	5	show	show	VERB
ap-2095	7	6	that	that	SCONJ
ap-2095	7	7	a	a	DET
ap-2095	7	8	two	two	NUM
ap-2095	7	9	-	-	PUNCT
ap-2095	7	10	dimensional	dimensional	ADJ
ap-2095	7	11	hamiltonian	hamiltonian	ADJ
ap-2095	7	12	system	system	NOUN
ap-2095	7	13	is	be	AUX
ap-2095	7	14	completely	completely	ADV
ap-2095	7	15	integrable	integrable	ADJ
ap-2095	7	16	,	,	PUNCT
ap-2095	7	17	if	if	SCONJ
ap-2095	7	18	the	the	DET
ap-2095	7	19	hamiltonian	hamiltonian	NOUN
ap-2095	7	20	has	have	VERB
ap-2095	7	21	the	the	DET
ap-2095	7	22	form	form	NOUN
ap-2095	7	23	h	h	NOUN
ap-2095	7	24	=	=	SYM
ap-2095	7	25	t	t	PROPN
ap-2095	7	26	+	+	CCONJ
ap-2095	7	27	v	v	ADP
ap-2095	7	28	where	where	SCONJ
ap-2095	7	29	v	v	NOUN
ap-2095	7	30	and	and	CCONJ
ap-2095	7	31	t	t	PROPN
ap-2095	7	32	are	be	AUX
ap-2095	7	33	respectively	respectively	ADV
ap-2095	7	34	harmonic	harmonic	ADJ
ap-2095	7	35	functions	function	NOUN
ap-2095	7	36	of	of	ADP
ap-2095	7	37	the	the	DET
ap-2095	7	38	generalized	generalized	ADJ
ap-2095	7	39	coordinates	coordinate	NOUN
ap-2095	7	40	and	and	CCONJ
ap-2095	7	41	the	the	DET
ap-2095	7	42	associated	associated	ADJ
ap-2095	7	43	momenta	momenta	NOUN
ap-2095	7	44	.	.	PUNCT
ap-2095	8	1	keywords	keyword	NOUN
ap-2095	8	2	:	:	PUNCT
ap-2095	8	3	integrable	integrable	ADJ
ap-2095	8	4	system	system	NOUN
ap-2095	8	5	,	,	PUNCT
ap-2095	8	6	complexified	complexifie	VERB
ap-2095	8	7	hamiltonian	hamiltonian	NOUN
ap-2095	8	8	,	,	PUNCT
ap-2095	8	9	constant	constant	ADJ
ap-2095	8	10	of	of	ADP
ap-2095	8	11	motion	motion	NOUN
ap-2095	8	12	.	.	PUNCT
ap-2095	9	1	the	the	DET
ap-2095	9	2	study	study	NOUN
ap-2095	9	3	of	of	ADP
ap-2095	9	4	integrable	integrable	ADJ
ap-2095	9	5	hamiltonian	hamiltonian	ADJ
ap-2095	9	6	systems	system	NOUN
ap-2095	9	7	has	have	AUX
ap-2095	9	8	been	be	AUX
ap-2095	9	9	a	a	DET
ap-2095	9	10	subject	subject	NOUN
ap-2095	9	11	of	of	ADP
ap-2095	9	12	active	active	ADJ
ap-2095	9	13	research	research	NOUN
ap-2095	9	14	since	since	SCONJ
ap-2095	9	15	the	the	DET
ap-2095	9	16	nineteenth	nineteenth	ADJ
ap-2095	9	17	century	century	NOUN
ap-2095	9	18	.	.	PUNCT
ap-2095	10	1	despite	despite	SCONJ
ap-2095	10	2	the	the	DET
ap-2095	10	3	existence	existence	NOUN
ap-2095	10	4	of	of	ADP
ap-2095	10	5	an	an	DET
ap-2095	10	6	extensive	extensive	ADJ
ap-2095	10	7	literature	literature	NOUN
ap-2095	10	8	on	on	ADP
ap-2095	10	9	the	the	DET
ap-2095	10	10	subject	subject	NOUN
ap-2095	10	11	,	,	PUNCT
ap-2095	10	12	there	there	PRON
ap-2095	10	13	is	be	VERB
ap-2095	10	14	no	no	DET
ap-2095	10	15	well	well	ADV
ap-2095	10	16	-	-	PUNCT
ap-2095	10	17	known	know	VERB
ap-2095	10	18	practical	practical	ADJ
ap-2095	10	19	test	test	NOUN
ap-2095	10	20	of	of	ADP
ap-2095	10	21	complete	complete	ADJ
ap-2095	10	22	integrability	integrability	NOUN
ap-2095	10	23	of	of	ADP
ap-2095	10	24	a	a	DET
ap-2095	10	25	given	give	VERB
ap-2095	10	26	hamiltonian	hamiltonian	ADJ
ap-2095	10	27	system	system	NOUN
ap-2095	10	28	even	even	ADV
ap-2095	10	29	in	in	ADP
ap-2095	10	30	two	two	NUM
ap-2095	10	31	dimensions	dimension	NOUN
ap-2095	10	32	.	.	PUNCT
ap-2095	11	1	the	the	DET
ap-2095	11	2	present	present	ADJ
ap-2095	11	3	work	work	NOUN
ap-2095	11	4	elaborates	elaborate	VERB
ap-2095	11	5	on	on	ADP
ap-2095	11	6	a	a	DET
ap-2095	11	7	simple	simple	ADJ
ap-2095	11	8	-	-	PUNCT
ap-2095	11	9	to	to	AUX
ap-2095	11	10	-	-	PUNCT
ap-2095	11	11	check	check	VERB
ap-2095	11	12	sufficient	sufficient	ADJ
ap-2095	11	13	condition	condition	NOUN
ap-2095	11	14	for	for	ADP
ap-2095	11	15	the	the	DET
ap-2095	11	16	complete	complete	ADJ
ap-2095	11	17	integrability	integrability	NOUN
ap-2095	11	18	of	of	ADP
ap-2095	11	19	such	such	ADJ
ap-2095	11	20	hamiltonian	hamiltonian	ADJ
ap-2095	11	21	systems	system	NOUN
ap-2095	11	22	.	.	PUNCT
ap-2095	12	1	this	this	DET
ap-2095	12	2	condition	condition	NOUN
ap-2095	12	3	,	,	PUNCT
ap-2095	12	4	which	which	PRON
ap-2095	12	5	is	be	AUX
ap-2095	12	6	originally	originally	ADV
ap-2095	12	7	outlined	outline	VERB
ap-2095	12	8	in	in	ADP
ap-2095	12	9	ref	ref	NOUN
ap-2095	12	10	.	.	PUNCT
ap-2095	13	1	[	[	X
ap-2095	13	2	1	1	NUM
ap-2095	13	3	]	]	PUNCT
ap-2095	13	4	,	,	PUNCT
ap-2095	13	5	identifies	identify	VERB
ap-2095	13	6	a	a	DET
ap-2095	13	7	special	special	ADJ
ap-2095	13	8	class	class	NOUN
ap-2095	13	9	of	of	ADP
ap-2095	13	10	completely	completely	ADV
ap-2095	13	11	integrable	integrable	ADJ
ap-2095	13	12	hamiltonian	hamiltonian	ADJ
ap-2095	13	13	systems	system	NOUN
ap-2095	13	14	in	in	ADP
ap-2095	13	15	two	two	NUM
ap-2095	13	16	dimensions	dimension	NOUN
ap-2095	13	17	.	.	PUNCT
ap-2095	14	1	the	the	DET
ap-2095	14	2	following	follow	VERB
ap-2095	14	3	is	be	AUX
ap-2095	14	4	a	a	DET
ap-2095	14	5	precise	precise	ADJ
ap-2095	14	6	statement	statement	NOUN
ap-2095	14	7	of	of	ADP
ap-2095	14	8	this	this	DET
ap-2095	14	9	result	result	NOUN
ap-2095	14	10	.	.	PUNCT
ap-2095	15	1	theorem	theorem	NOUN
ap-2095	15	2	1	1	NUM
ap-2095	15	3	.	.	PUNCT
ap-2095	16	1	let	let	VERB
ap-2095	16	2	s	s	PRON
ap-2095	16	3	be	be	AUX
ap-2095	16	4	a	a	DET
ap-2095	16	5	hamiltonian	hamiltonian	ADJ
ap-2095	16	6	system	system	NOUN
ap-2095	16	7	with	with	ADP
ap-2095	16	8	phase	phase	NOUN
ap-2095	16	9	space	space	NOUN
ap-2095	16	10	r4	r4	NOUN
ap-2095	16	11	and	and	CCONJ
ap-2095	16	12	a	a	DET
ap-2095	16	13	twice	twice	ADV
ap-2095	16	14	-	-	PUNCT
ap-2095	16	15	continuously	continuously	ADV
ap-2095	16	16	-	-	PUNCT
ap-2095	16	17	differentiable	differentiable	ADJ
ap-2095	16	18	time	time	NOUN
ap-2095	16	19	-	-	PUNCT
ap-2095	16	20	independent	independent	ADJ
ap-2095	16	21	hamiltonian	hamiltonian	ADJ
ap-2095	16	22	h	h	NOUN
ap-2095	16	23	:	:	PUNCT
ap-2095	16	24	r4	r4	VERB
ap-2095	16	25	→	→	PUNCT
ap-2095	16	26	r	r	NOUN
ap-2095	16	27	that	that	PRON
ap-2095	16	28	satisfies	satisfy	VERB
ap-2095	16	29	∂2h	∂2h	NOUN
ap-2095	16	30	∂x2	∂x2	NOUN
ap-2095	16	31	1	1	NUM
ap-2095	16	32	+	+	NUM
ap-2095	16	33	∂2h	∂2h	NOUN
ap-2095	16	34	∂x2	∂x2	NOUN
ap-2095	16	35	2	2	NUM
ap-2095	16	36	=	=	SYM
ap-2095	16	37	0	0	NUM
ap-2095	16	38	,	,	PUNCT
ap-2095	16	39	∂2h	∂2h	VERB
ap-2095	16	40	∂p2	∂p2	PROPN
ap-2095	16	41	1	1	NUM
ap-2095	16	42	+	+	NUM
ap-2095	16	43	∂2h	∂2h	NOUN
ap-2095	16	44	∂p2	∂p2	PROPN
ap-2095	16	45	2	2	NUM
ap-2095	16	46	=	=	SYM
ap-2095	16	47	0	0	NUM
ap-2095	16	48	,	,	PUNCT
ap-2095	16	49	∂2h	∂2h	VERB
ap-2095	16	50	∂x1∂p2	∂x1∂p2	PROPN
ap-2095	16	51	+	+	NUM
ap-2095	16	52	∂2h	∂2h	NOUN
ap-2095	16	53	∂x2∂p1	∂x2∂p1	NOUN
ap-2095	16	54	=	=	SYM
ap-2095	16	55	0	0	PROPN
ap-2095	16	56	,	,	PUNCT
ap-2095	16	57	∂2h	∂2h	NOUN
ap-2095	16	58	∂x1∂p1	∂x1∂p1	X
ap-2095	16	59	−	−	PROPN
ap-2095	16	60	∂2h	∂2h	VERB
ap-2095	16	61	∂x2∂p2	∂x2∂p2	NOUN
ap-2095	16	62	=	=	SYM
ap-2095	16	63	0	0	NUM
ap-2095	16	64	,	,	PUNCT
ap-2095	16	65	(	(	PUNCT
ap-2095	16	66	1	1	X
ap-2095	16	67	)	)	PUNCT
ap-2095	16	68	where	where	SCONJ
ap-2095	16	69	h	h	NOUN
ap-2095	16	70	=	=	SYM
ap-2095	16	71	h(x1	h(x1	PROPN
ap-2095	16	72	,	,	PUNCT
ap-2095	16	73	p1	p1	PROPN
ap-2095	16	74	,	,	PUNCT
ap-2095	16	75	x2	x2	PROPN
ap-2095	16	76	,	,	PUNCT
ap-2095	16	77	p2	p2	PROPN
ap-2095	16	78	)	)	PUNCT
ap-2095	16	79	,	,	PUNCT
ap-2095	16	80	and	and	CCONJ
ap-2095	16	81	(	(	PUNCT
ap-2095	16	82	x1	x1	PROPN
ap-2095	16	83	,	,	PUNCT
ap-2095	16	84	p1	p1	PROPN
ap-2095	16	85	)	)	PUNCT
ap-2095	16	86	and	and	CCONJ
ap-2095	16	87	(	(	PUNCT
ap-2095	16	88	x2	x2	PROPN
ap-2095	16	89	,	,	PUNCT
ap-2095	16	90	p2	p2	PROPN
ap-2095	16	91	)	)	PUNCT
ap-2095	16	92	are	be	AUX
ap-2095	16	93	conjugate	conjugate	ADJ
ap-2095	16	94	coordinate	coordinate	NOUN
ap-2095	16	95	-	-	PUNCT
ap-2095	16	96	momentum	momentum	NOUN
ap-2095	16	97	pairs	pair	NOUN
ap-2095	16	98	.	.	PUNCT
ap-2095	17	1	then	then	ADV
ap-2095	17	2	s	s	VERB
ap-2095	17	3	is	be	AUX
ap-2095	17	4	completely	completely	ADV
ap-2095	17	5	integrable	integrable	ADJ
ap-2095	17	6	.	.	PUNCT
ap-2095	18	1	before	before	ADP
ap-2095	18	2	giving	give	VERB
ap-2095	18	3	a	a	DET
ap-2095	18	4	proof	proof	NOUN
ap-2095	18	5	of	of	ADP
ap-2095	18	6	this	this	DET
ap-2095	18	7	theorem	theorem	NOUN
ap-2095	18	8	,	,	PUNCT
ap-2095	18	9	we	we	PRON
ap-2095	18	10	wish	wish	VERB
ap-2095	18	11	to	to	PART
ap-2095	18	12	motivate	motivate	VERB
ap-2095	18	13	its	its	PRON
ap-2095	18	14	statement	statement	NOUN
ap-2095	18	15	and	and	CCONJ
ap-2095	18	16	the	the	DET
ap-2095	18	17	idea	idea	NOUN
ap-2095	18	18	of	of	ADP
ap-2095	18	19	its	its	PRON
ap-2095	18	20	proof	proof	NOUN
ap-2095	18	21	.	.	PUNCT
ap-2095	19	1	let	let	VERB
ap-2095	19	2	z	z	NOUN
ap-2095	19	3	:	:	PUNCT
ap-2095	19	4	=	=	SYM
ap-2095	19	5	x	x	SYM
ap-2095	20	1	+	+	CCONJ
ap-2095	20	2	iy	iy	PROPN
ap-2095	20	3	and	and	CCONJ
ap-2095	20	4	p	p	X
ap-2095	20	5	:	:	PUNCT
ap-2095	21	1	=	=	SYM
ap-2095	21	2	p	p	X
ap-2095	22	1	+	+	CCONJ
ap-2095	22	2	iq	iq	PROPN
ap-2095	22	3	be	be	AUX
ap-2095	22	4	a	a	DET
ap-2095	22	5	pair	pair	NOUN
ap-2095	22	6	of	of	ADP
ap-2095	22	7	complex	complex	ADJ
ap-2095	22	8	variables	variable	NOUN
ap-2095	22	9	,	,	PUNCT
ap-2095	22	10	where	where	SCONJ
ap-2095	22	11	x	x	X
ap-2095	22	12	,	,	PUNCT
ap-2095	22	13	y	y	PROPN
ap-2095	22	14	,	,	PUNCT
ap-2095	22	15	p	p	X
ap-2095	22	16	,	,	PUNCT
ap-2095	22	17	q	q	PUNCT
ap-2095	22	18	∈	∈	PROPN
ap-2095	22	19	r	r	NOUN
ap-2095	22	20	,	,	PUNCT
ap-2095	22	21	and	and	CCONJ
ap-2095	22	22	h	h	NOUN
ap-2095	22	23	:	:	PUNCT
ap-2095	22	24	c2	c2	PROPN
ap-2095	22	25	→	→	SYM
ap-2095	22	26	c	c	PROPN
ap-2095	22	27	is	be	AUX
ap-2095	22	28	an	an	DET
ap-2095	22	29	analytic	analytic	ADJ
ap-2095	22	30	complex	complex	ADV
ap-2095	22	31	-	-	PUNCT
ap-2095	22	32	valued	value	VERB
ap-2095	22	33	function	function	NOUN
ap-2095	22	34	of	of	ADP
ap-2095	22	35	(	(	PUNCT
ap-2095	22	36	z	z	PROPN
ap-2095	22	37	,	,	PUNCT
ap-2095	22	38	p	p	NOUN
ap-2095	22	39	)	)	PUNCT
ap-2095	22	40	with	with	ADP
ap-2095	22	41	real	real	ADJ
ap-2095	22	42	and	and	CCONJ
ap-2095	22	43	imaginary	imaginary	ADJ
ap-2095	22	44	parts	part	NOUN
ap-2095	22	45	u	u	NOUN
ap-2095	22	46	and	and	CCONJ
ap-2095	22	47	v	v	NOUN
ap-2095	22	48	,	,	PUNCT
ap-2095	22	49	so	so	SCONJ
ap-2095	22	50	that	that	SCONJ
ap-2095	22	51	u(x	u(x	NOUN
ap-2095	22	52	,	,	PUNCT
ap-2095	22	53	y	y	PROPN
ap-2095	22	54	,	,	PUNCT
ap-2095	22	55	p	p	X
ap-2095	22	56	,	,	PUNCT
ap-2095	22	57	q	q	NOUN
ap-2095	22	58	)	)	PUNCT
ap-2095	22	59	:	:	PUNCT
ap-2095	22	60	=	=	SYM
ap-2095	22	61	re[h(x	re[h(x	PROPN
ap-2095	22	62	+	+	CCONJ
ap-2095	22	63	iy	iy	PROPN
ap-2095	22	64	,	,	PUNCT
ap-2095	22	65	p	p	X
ap-2095	22	66	+	+	X
ap-2095	22	67	iq	iq	NOUN
ap-2095	22	68	)	)	PUNCT
ap-2095	22	69	]	]	PUNCT
ap-2095	22	70	,	,	PUNCT
ap-2095	22	71	(	(	PUNCT
ap-2095	22	72	2	2	X
ap-2095	22	73	)	)	PUNCT
ap-2095	22	74	v(x	v(x	PROPN
ap-2095	22	75	,	,	PUNCT
ap-2095	22	76	y	y	PROPN
ap-2095	22	77	,	,	PUNCT
ap-2095	22	78	p	p	X
ap-2095	22	79	,	,	PUNCT
ap-2095	22	80	q	q	NOUN
ap-2095	22	81	)	)	PUNCT
ap-2095	22	82	:	:	PUNCT
ap-2095	23	1	=	=	PUNCT
ap-2095	23	2	im[h(x	im[h(x	PROPN
ap-2095	23	3	+	+	PROPN
ap-2095	23	4	iy	iy	PROPN
ap-2095	23	5	,	,	PUNCT
ap-2095	23	6	p	p	X
ap-2095	23	7	+	+	X
ap-2095	23	8	iq	iq	NOUN
ap-2095	23	9	)	)	PUNCT
ap-2095	23	10	]	]	PUNCT
ap-2095	23	11	.	.	PUNCT
ap-2095	24	1	(	(	PUNCT
ap-2095	24	2	3	3	X
ap-2095	24	3	)	)	PUNCT
ap-2095	24	4	we	we	PRON
ap-2095	24	5	can	can	AUX
ap-2095	24	6	express	express	VERB
ap-2095	24	7	the	the	DET
ap-2095	24	8	condition	condition	NOUN
ap-2095	24	9	of	of	ADP
ap-2095	24	10	the	the	DET
ap-2095	24	11	analyticity	analyticity	NOUN
ap-2095	24	12	of	of	ADP
ap-2095	24	13	h	h	NOUN
ap-2095	24	14	as	as	ADP
ap-2095	24	15	the	the	DET
ap-2095	24	16	cauchy	cauchy	PROPN
ap-2095	24	17	-	-	PUNCT
ap-2095	24	18	riemann	riemann	PROPN
ap-2095	24	19	relations	relation	NOUN
ap-2095	24	20	:	:	PUNCT
ap-2095	24	21	∂u	∂u	PROPN
ap-2095	24	22	∂x	∂x	PROPN
ap-2095	24	23	=	=	SYM
ap-2095	24	24	∂v	∂v	PROPN
ap-2095	24	25	∂y	∂y	PROPN
ap-2095	24	26	,	,	PUNCT
ap-2095	24	27	∂u	∂u	PROPN
ap-2095	24	28	∂y	∂y	SYM
ap-2095	24	29	=	=	PUNCT
ap-2095	24	30	−∂v	−∂v	NOUN
ap-2095	24	31	∂x	∂x	NOUN
ap-2095	24	32	,	,	PUNCT
ap-2095	24	33	∂u	∂u	PROPN
ap-2095	24	34	∂p	∂p	PROPN
ap-2095	25	1	=	=	PUNCT
ap-2095	25	2	∂v	∂v	PROPN
ap-2095	25	3	∂q	∂q	PROPN
ap-2095	25	4	,	,	PUNCT
ap-2095	25	5	∂u	∂u	PROPN
ap-2095	25	6	∂q	∂q	NOUN
ap-2095	25	7	=	=	PUNCT
ap-2095	25	8	−∂v	−∂v	PROPN
ap-2095	25	9	∂p	∂p	ADJ
ap-2095	25	10	.	.	PUNCT
ap-2095	26	1	(	(	PUNCT
ap-2095	26	2	4	4	X
ap-2095	26	3	)	)	PUNCT
ap-2095	26	4	these	these	PRON
ap-2095	26	5	in	in	ADP
ap-2095	26	6	turn	turn	NOUN
ap-2095	26	7	imply	imply	VERB
ap-2095	26	8	∂2u	∂2u	ADJ
ap-2095	26	9	∂x2	∂x2	PROPN
ap-2095	26	10	+	+	CCONJ
ap-2095	26	11	∂2u	∂2u	ADJ
ap-2095	26	12	∂y2	∂y2	X
ap-2095	26	13	=	=	SYM
ap-2095	26	14	0	0	NUM
ap-2095	26	15	,	,	PUNCT
ap-2095	26	16	∂2u	∂2u	X
ap-2095	26	17	∂p2	∂p2	PROPN
ap-2095	26	18	+	+	CCONJ
ap-2095	26	19	∂2u	∂2u	PROPN
ap-2095	26	20	∂q2	∂q2	X
ap-2095	26	21	=	=	SYM
ap-2095	26	22	0	0	NUM
ap-2095	26	23	,	,	PUNCT
ap-2095	26	24	∂2u	∂2u	PROPN
ap-2095	26	25	∂x∂p	∂x∂p	PROPN
ap-2095	26	26	+	+	CCONJ
ap-2095	26	27	∂2u	∂2u	PROPN
ap-2095	26	28	∂y∂q	∂y∂q	PROPN
ap-2095	27	1	=	=	SYM
ap-2095	27	2	0	0	NUM
ap-2095	27	3	,	,	PUNCT
ap-2095	27	4	∂2u	∂2u	X
ap-2095	27	5	∂x∂q	∂x∂q	PROPN
ap-2095	27	6	−	−	PROPN
ap-2095	27	7	∂2u	∂2u	PROPN
ap-2095	27	8	∂y∂p	∂y∂p	PROPN
ap-2095	28	1	=	=	PUNCT
ap-2095	28	2	0	0	X
ap-2095	28	3	.	.	PUNCT
ap-2095	29	1	(	(	PUNCT
ap-2095	29	2	5	5	X
ap-2095	29	3	)	)	PUNCT
ap-2095	29	4	refs	ref	NOUN
ap-2095	29	5	.	.	PUNCT
ap-2095	30	1	[	[	X
ap-2095	30	2	1	1	NUM
ap-2095	30	3	,	,	PUNCT
ap-2095	30	4	2	2	NUM
ap-2095	30	5	]	]	PUNCT
ap-2095	30	6	show	show	VERB
ap-2095	30	7	that	that	SCONJ
ap-2095	30	8	the	the	DET
ap-2095	30	9	complexified	complexifie	VERB
ap-2095	30	10	hamilton	hamilton	PROPN
ap-2095	30	11	equations	equation	NOUN
ap-2095	30	12	,	,	PUNCT
ap-2095	30	13	dz	dz	X
ap-2095	30	14	dt	dt	NOUN
ap-2095	30	15	=	=	PUNCT
ap-2095	30	16	∂h	∂h	PROPN
ap-2095	30	17	∂p	∂p	ADV
ap-2095	30	18	,	,	PUNCT
ap-2095	30	19	dp	dp	NOUN
ap-2095	30	20	dt	dt	NOUN
ap-2095	30	21	=	=	SYM
ap-2095	30	22	−∂h	−∂h	PROPN
ap-2095	30	23	∂z	∂z	PROPN
ap-2095	30	24	,	,	PUNCT
ap-2095	30	25	(	(	PUNCT
ap-2095	30	26	6	6	X
ap-2095	30	27	)	)	PUNCT
ap-2095	30	28	define	define	VERB
ap-2095	30	29	a	a	DET
ap-2095	30	30	completely	completely	ADV
ap-2095	30	31	integrable	integrable	ADJ
ap-2095	30	32	hamiltonian	hamiltonian	ADJ
ap-2095	30	33	system	system	NOUN
ap-2095	30	34	in	in	ADP
ap-2095	30	35	the	the	DET
ap-2095	30	36	phase	phase	NOUN
ap-2095	30	37	space	space	NOUN
ap-2095	30	38	r4	r4	NOUN
ap-2095	30	39	whose	whose	DET
ap-2095	30	40	dynamics	dynamic	NOUN
ap-2095	30	41	may	may	AUX
ap-2095	30	42	be	be	AUX
ap-2095	30	43	determined	determine	VERB
ap-2095	30	44	using	use	VERB
ap-2095	30	45	the	the	DET
ap-2095	30	46	standard	standard	ADJ
ap-2095	30	47	hamilton	hamilton	PROPN
ap-2095	30	48	equations	equation	NOUN
ap-2095	30	49	with	with	ADP
ap-2095	30	50	u	u	PRON
ap-2095	30	51	serving	serve	VERB
ap-2095	30	52	as	as	ADP
ap-2095	30	53	the	the	DET
ap-2095	30	54	hamiltonian	hamiltonian	NOUN
ap-2095	30	55	and	and	CCONJ
ap-2095	30	56	v	v	ADP
ap-2095	30	57	acting	act	VERB
ap-2095	30	58	as	as	ADP
ap-2095	30	59	a	a	DET
ap-2095	30	60	constant	constant	NOUN
ap-2095	30	61	of	of	ADP
ap-2095	30	62	motion	motion	NOUN
ap-2095	30	63	.	.	PUNCT
ap-2095	31	1	it	it	PRON
ap-2095	31	2	is	be	AUX
ap-2095	31	3	important	important	ADJ
ap-2095	31	4	to	to	PART
ap-2095	31	5	note	note	VERB
ap-2095	31	6	that	that	SCONJ
ap-2095	31	7	in	in	ADP
ap-2095	31	8	order	order	NOUN
ap-2095	31	9	to	to	PART
ap-2095	31	10	establish	establish	VERB
ap-2095	31	11	this	this	DET
ap-2095	31	12	result	result	NOUN
ap-2095	31	13	one	one	NUM
ap-2095	31	14	needs	need	VERB
ap-2095	31	15	to	to	PART
ap-2095	31	16	use	use	VERB
ap-2095	31	17	an	an	DET
ap-2095	31	18	appropriate	appropriate	ADJ
ap-2095	31	19	symplectic	symplectic	ADJ
ap-2095	31	20	structure	structure	NOUN
ap-2095	31	21	(	(	PUNCT
ap-2095	31	22	which	which	PRON
ap-2095	31	23	is	be	AUX
ap-2095	31	24	different	different	ADJ
ap-2095	31	25	from	from	ADP
ap-2095	31	26	though	though	ADV
ap-2095	31	27	isomorphic	isomorphic	ADJ
ap-2095	31	28	to	to	ADP
ap-2095	31	29	the	the	DET
ap-2095	31	30	standard	standard	ADJ
ap-2095	31	31	symplectic	symplectic	ADJ
ap-2095	31	32	structure	structure	NOUN
ap-2095	31	33	)	)	PUNCT
ap-2095	31	34	on	on	ADP
ap-2095	31	35	r4	r4	NOUN
ap-2095	31	36	and	and	CCONJ
ap-2095	31	37	the	the	DET
ap-2095	31	38	associated	associated	ADJ
ap-2095	31	39	darboux	darboux	NOUN
ap-2095	31	40	coordinates	coordinate	NOUN
ap-2095	31	41	for	for	ADP
ap-2095	31	42	the	the	DET
ap-2095	31	43	problem	problem	NOUN
ap-2095	31	44	[	[	X
ap-2095	31	45	2	2	NUM
ap-2095	31	46	,	,	PUNCT
ap-2095	31	47	3	3	NUM
ap-2095	31	48	]	]	PUNCT
ap-2095	31	49	.	.	PUNCT
ap-2095	32	1	the	the	DET
ap-2095	32	2	latter	latter	ADJ
ap-2095	32	3	can	can	AUX
ap-2095	32	4	be	be	AUX
ap-2095	32	5	taken	take	VERB
ap-2095	32	6	to	to	PART
ap-2095	32	7	be	be	AUX
ap-2095	32	8	the	the	DET
ap-2095	32	9	conjugate	conjugate	ADJ
ap-2095	32	10	coordinate	coordinate	NOUN
ap-2095	32	11	-	-	PUNCT
ap-2095	32	12	momentum	momentum	NOUN
ap-2095	32	13	pairs	pair	NOUN
ap-2095	32	14	(	(	PUNCT
ap-2095	32	15	x	x	X
ap-2095	32	16	,	,	PUNCT
ap-2095	32	17	p	p	NOUN
ap-2095	32	18	)	)	PUNCT
ap-2095	32	19	and	and	CCONJ
ap-2095	32	20	(	(	PUNCT
ap-2095	32	21	q	q	X
ap-2095	32	22	,	,	PUNCT
ap-2095	32	23	y	y	PROPN
ap-2095	32	24	)	)	PUNCT
ap-2095	32	25	,	,	PUNCT
ap-2095	32	26	i.e.	i.e.	X
ap-2095	32	27	,	,	PUNCT
ap-2095	32	28	q	q	PUNCT
ap-2095	32	29	and	and	CCONJ
ap-2095	32	30	y	y	PROPN
ap-2095	32	31	must	must	AUX
ap-2095	32	32	be	be	AUX
ap-2095	32	33	viewed	view	VERB
ap-2095	32	34	as	as	ADP
ap-2095	32	35	coordinate	coordinate	NOUN
ap-2095	32	36	and	and	CCONJ
ap-2095	32	37	momentum	momentum	NOUN
ap-2095	32	38	variables	variable	NOUN
ap-2095	32	39	,	,	PUNCT
ap-2095	32	40	respectively	respectively	ADV
ap-2095	32	41	[	[	X
ap-2095	32	42	4	4	NUM
ap-2095	32	43	]	]	PUNCT
ap-2095	32	44	.	.	PUNCT
ap-2095	33	1	the	the	DET
ap-2095	33	2	statement	statement	NOUN
ap-2095	33	3	and	and	CCONJ
ap-2095	33	4	proof	proof	NOUN
ap-2095	33	5	of	of	ADP
ap-2095	33	6	theorem	theorem	ADJ
ap-2095	33	7	1	1	NUM
ap-2095	33	8	relies	rely	VERB
ap-2095	33	9	on	on	ADP
ap-2095	33	10	the	the	DET
ap-2095	33	11	fact	fact	NOUN
ap-2095	33	12	that	that	SCONJ
ap-2095	33	13	conditions	condition	NOUN
ap-2095	33	14	(	(	PUNCT
ap-2095	33	15	1	1	NUM
ap-2095	33	16	)	)	PUNCT
ap-2095	33	17	,	,	PUNCT
ap-2095	33	18	which	which	PRON
ap-2095	33	19	were	be	AUX
ap-2095	33	20	initially	initially	ADV
ap-2095	33	21	derived	derive	VERB
ap-2095	33	22	in	in	ADP
ap-2095	33	23	[	[	X
ap-2095	33	24	1	1	NUM
ap-2095	33	25	]	]	PUNCT
ap-2095	33	26	,	,	PUNCT
ap-2095	33	27	can	can	AUX
ap-2095	33	28	be	be	AUX
ap-2095	33	29	used	use	VERB
ap-2095	33	30	to	to	PART
ap-2095	33	31	identify	identify	VERB
ap-2095	33	32	h	h	NOUN
ap-2095	33	33	with	with	ADP
ap-2095	33	34	the	the	DET
ap-2095	33	35	real	real	ADJ
ap-2095	33	36	part	part	NOUN
ap-2095	33	37	of	of	ADP
ap-2095	33	38	an	an	DET
ap-2095	33	39	analytic	analytic	ADJ
ap-2095	33	40	function	function	NOUN
ap-2095	33	41	h	h	NOUN
ap-2095	33	42	:	:	PUNCT
ap-2095	33	43	c2	c2	PROPN
ap-2095	33	44	→	→	SYM
ap-2095	33	45	c	c	PROPN
ap-2095	33	46	such	such	ADJ
ap-2095	33	47	that	that	SCONJ
ap-2095	33	48	the	the	DET
ap-2095	33	49	hamiltonian	hamiltonian	ADJ
ap-2095	33	50	system	system	NOUN
ap-2095	33	51	determined	determine	VERB
ap-2095	33	52	by	by	ADP
ap-2095	33	53	h	h	PROPN
ap-2095	33	54	coincides	coincide	NOUN
ap-2095	33	55	with	with	ADP
ap-2095	33	56	the	the	DET
ap-2095	33	57	one	one	NUM
ap-2095	33	58	defined	define	VERB
ap-2095	33	59	by	by	ADP
ap-2095	33	60	(	(	PUNCT
ap-2095	33	61	6	6	NUM
ap-2095	33	62	)	)	PUNCT
ap-2095	33	63	.	.	PUNCT
ap-2095	34	1	proof	proof	NOUN
ap-2095	34	2	of	of	ADP
ap-2095	34	3	theorem	theorem	NOUN
ap-2095	34	4	1	1	X
ap-2095	34	5	.	.	PUNCT
ap-2095	35	1	let	let	VERB
ap-2095	35	2	x	x	PRON
ap-2095	35	3	:	:	PUNCT
ap-2095	36	1	=	=	SYM
ap-2095	36	2	x1	x1	PROPN
ap-2095	36	3	,	,	PUNCT
ap-2095	36	4	y	y	PROPN
ap-2095	36	5	:	:	PUNCT
ap-2095	36	6	=	=	SYM
ap-2095	36	7	x2	x2	PROPN
ap-2095	36	8	,	,	PUNCT
ap-2095	36	9	p	p	X
ap-2095	36	10	:	:	PUNCT
ap-2095	36	11	=	=	SYM
ap-2095	36	12	p1	p1	PROPN
ap-2095	36	13	,	,	PUNCT
ap-2095	36	14	q	q	PUNCT
ap-2095	36	15	:	:	PUNCT
ap-2095	36	16	=	=	SYM
ap-2095	36	17	−p2	−p2	PROPN
ap-2095	36	18	,	,	PUNCT
ap-2095	36	19	and	and	CCONJ
ap-2095	36	20	u(x	u(x	PROPN
ap-2095	36	21	,	,	PUNCT
ap-2095	36	22	y	y	PROPN
ap-2095	36	23	,	,	PUNCT
ap-2095	36	24	p	p	X
ap-2095	36	25	,	,	PUNCT
ap-2095	36	26	q	q	NOUN
ap-2095	36	27	)	)	PUNCT
ap-2095	36	28	:	:	PUNCT
ap-2095	36	29	=	=	SYM
ap-2095	36	30	h(x	h(x	PROPN
ap-2095	36	31	,	,	PUNCT
ap-2095	36	32	p	p	X
ap-2095	36	33	,	,	PUNCT
ap-2095	36	34	y,−q	y,−q	NOUN
ap-2095	36	35	)	)	PUNCT
ap-2095	36	36	.	.	PUNCT
ap-2095	37	1	(	(	PUNCT
ap-2095	37	2	7	7	X
ap-2095	37	3	)	)	PUNCT
ap-2095	37	4	then	then	ADV
ap-2095	37	5	(	(	PUNCT
ap-2095	37	6	1	1	X
ap-2095	37	7	)	)	PUNCT
ap-2095	37	8	is	be	AUX
ap-2095	37	9	equivalent	equivalent	ADJ
ap-2095	37	10	to	to	ADP
ap-2095	37	11	(	(	PUNCT
ap-2095	37	12	5	5	NUM
ap-2095	37	13	)	)	PUNCT
ap-2095	37	14	,	,	PUNCT
ap-2095	37	15	and	and	CCONJ
ap-2095	37	16	if	if	SCONJ
ap-2095	37	17	we	we	PRON
ap-2095	37	18	view	view	VERB
ap-2095	37	19	(	(	PUNCT
ap-2095	37	20	4	4	NUM
ap-2095	37	21	)	)	PUNCT
ap-2095	37	22	as	as	ADP
ap-2095	37	23	a	a	DET
ap-2095	37	24	system	system	NOUN
ap-2095	37	25	of	of	ADP
ap-2095	37	26	differential	differential	ADJ
ap-2095	37	27	equations	equation	NOUN
ap-2095	37	28	for	for	ADP
ap-2095	37	29	v	v	NOUN
ap-2095	37	30	,	,	PUNCT
ap-2095	37	31	then	then	ADV
ap-2095	37	32	(	(	PUNCT
ap-2095	37	33	5	5	X
ap-2095	37	34	)	)	PUNCT
ap-2095	37	35	becomes	become	VERB
ap-2095	37	36	the	the	DET
ap-2095	37	37	integrability	integrability	NOUN
ap-2095	37	38	condition	condition	NOUN
ap-2095	37	39	for	for	ADP
ap-2095	37	40	these	these	DET
ap-2095	37	41	equations	equation	NOUN
ap-2095	37	42	.	.	PUNCT
ap-2095	38	1	this	this	DET
ap-2095	38	2	139	139	NUM
ap-2095	38	3	http://dx.doi.org/10.14311/ap.2014.54.0139	http://dx.doi.org/10.14311/ap.2014.54.0139	AUX
ap-2095	38	4	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2095	38	5	ali	ali	PROPN
ap-2095	38	6	mostafazadeh	mostafazadeh	PROPN
ap-2095	38	7	acta	acta	PROPN
ap-2095	38	8	polytechnica	polytechnica	PROPN
ap-2095	38	9	shows	show	VERB
ap-2095	38	10	that	that	SCONJ
ap-2095	38	11	there	there	PRON
ap-2095	38	12	is	be	VERB
ap-2095	38	13	a	a	DET
ap-2095	38	14	solution	solution	NOUN
ap-2095	38	15	v	v	ADP
ap-2095	38	16	of	of	ADP
ap-2095	38	17	(	(	PUNCT
ap-2095	38	18	4	4	NUM
ap-2095	38	19	)	)	PUNCT
ap-2095	38	20	for	for	ADP
ap-2095	38	21	the	the	DET
ap-2095	38	22	case	case	NOUN
ap-2095	38	23	that	that	SCONJ
ap-2095	38	24	u	u	NOUN
ap-2095	38	25	is	be	AUX
ap-2095	38	26	given	give	VERB
ap-2095	38	27	by	by	ADP
ap-2095	38	28	(	(	PUNCT
ap-2095	38	29	7	7	NUM
ap-2095	38	30	)	)	PUNCT
ap-2095	38	31	.	.	PUNCT
ap-2095	39	1	let	let	VERB
ap-2095	39	2	i	i	PRON
ap-2095	39	3	:	:	PUNCT
ap-2095	39	4	r4	r4	VERB
ap-2095	39	5	→	→	SYM
ap-2095	39	6	r	r	NOUN
ap-2095	39	7	be	be	AUX
ap-2095	39	8	defined	define	VERB
ap-2095	39	9	by	by	ADP
ap-2095	39	10	i(x1	i(x1	PROPN
ap-2095	39	11	,	,	PUNCT
ap-2095	39	12	p1	p1	NOUN
ap-2095	39	13	,	,	PUNCT
ap-2095	39	14	x2	x2	PROPN
ap-2095	39	15	,	,	PUNCT
ap-2095	39	16	p2	p2	PROPN
ap-2095	39	17	)	)	PUNCT
ap-2095	39	18	:	:	PUNCT
ap-2095	39	19	=	=	NOUN
ap-2095	39	20	v(x1	v(x1	PROPN
ap-2095	39	21	,	,	PUNCT
ap-2095	39	22	x2	x2	PROPN
ap-2095	39	23	,	,	PUNCT
ap-2095	39	24	p1,−p2	p1,−p2	PROPN
ap-2095	39	25	)	)	PUNCT
ap-2095	39	26	,	,	PUNCT
ap-2095	39	27	(	(	PUNCT
ap-2095	39	28	8)	8)	NUM
ap-2095	39	29	so	so	SCONJ
ap-2095	39	30	that	that	SCONJ
ap-2095	39	31	v(x	v(x	PROPN
ap-2095	39	32	,	,	PUNCT
ap-2095	39	33	y	y	PROPN
ap-2095	39	34	,	,	PUNCT
ap-2095	39	35	p	p	X
ap-2095	39	36	,	,	PUNCT
ap-2095	39	37	q	q	NOUN
ap-2095	39	38	)	)	PUNCT
ap-2095	39	39	=	=	SYM
ap-2095	39	40	i(x	i(x	PROPN
ap-2095	39	41	,	,	PUNCT
ap-2095	39	42	p	p	X
ap-2095	39	43	,	,	PUNCT
ap-2095	39	44	y,−q	y,−q	NOUN
ap-2095	39	45	)	)	PUNCT
ap-2095	39	46	.	.	PUNCT
ap-2095	40	1	(	(	PUNCT
ap-2095	40	2	9	9	X
ap-2095	40	3	)	)	PUNCT
ap-2095	40	4	we	we	PRON
ap-2095	40	5	can	can	AUX
ap-2095	40	6	use	use	VERB
ap-2095	40	7	(	(	PUNCT
ap-2095	40	8	7	7	NUM
ap-2095	40	9	)	)	PUNCT
ap-2095	40	10	and	and	CCONJ
ap-2095	40	11	(	(	PUNCT
ap-2095	40	12	9	9	NUM
ap-2095	40	13	)	)	PUNCT
ap-2095	40	14	to	to	PART
ap-2095	40	15	express	express	VERB
ap-2095	40	16	(	(	PUNCT
ap-2095	40	17	4	4	NUM
ap-2095	40	18	)	)	PUNCT
ap-2095	40	19	in	in	ADP
ap-2095	40	20	the	the	DET
ap-2095	40	21	form	form	NOUN
ap-2095	40	22	∂h	∂h	VERB
ap-2095	40	23	∂x1	∂x1	NOUN
ap-2095	40	24	=	=	PUNCT
ap-2095	40	25	∂i	∂i	PROPN
ap-2095	40	26	∂x2	∂x2	NOUN
ap-2095	40	27	,	,	PUNCT
ap-2095	40	28	∂h	∂h	PROPN
ap-2095	40	29	∂x2	∂x2	NOUN
ap-2095	40	30	=	=	SYM
ap-2095	40	31	−	−	PROPN
ap-2095	40	32	∂i	∂i	PROPN
ap-2095	40	33	∂x1	∂x1	PROPN
ap-2095	40	34	,	,	PUNCT
ap-2095	41	1	∂h	∂h	VERB
ap-2095	41	2	∂p1	∂p1	NOUN
ap-2095	42	1	=	=	PUNCT
ap-2095	42	2	−	−	PROPN
ap-2095	42	3	∂i	∂i	PROPN
ap-2095	42	4	∂p2	∂p2	PROPN
ap-2095	42	5	,	,	PUNCT
ap-2095	42	6	∂h	∂h	PROPN
ap-2095	42	7	∂p2	∂p2	PROPN
ap-2095	42	8	=	=	SYM
ap-2095	42	9	∂i	∂i	PROPN
ap-2095	42	10	∂p1	∂p1	NOUN
ap-2095	42	11	.	.	PUNCT
ap-2095	43	1	(	(	PUNCT
ap-2095	43	2	10	10	NUM
ap-2095	43	3	)	)	PUNCT
ap-2095	43	4	these	these	PRON
ap-2095	43	5	in	in	ADP
ap-2095	43	6	turn	turn	NOUN
ap-2095	43	7	imply	imply	VERB
ap-2095	43	8	{	{	PUNCT
ap-2095	43	9	h	h	NOUN
ap-2095	43	10	,	,	PUNCT
ap-2095	43	11	i	i	NOUN
ap-2095	43	12	}	}	PUNCT
ap-2095	43	13	=	=	PUNCT
ap-2095	43	14	0	0	NUM
ap-2095	43	15	,	,	PUNCT
ap-2095	43	16	where	where	SCONJ
ap-2095	43	17	{	{	PUNCT
ap-2095	43	18	·	·	PUNCT
ap-2095	43	19	,	,	PUNCT
ap-2095	43	20	·	·	PUNCT
ap-2095	43	21	}	}	PUNCT
ap-2095	43	22	is	be	AUX
ap-2095	43	23	the	the	DET
ap-2095	43	24	poisson	poisson	NOUN
ap-2095	43	25	bracket	bracket	NOUN
ap-2095	43	26	,	,	PUNCT
ap-2095	43	27	{	{	PUNCT
ap-2095	43	28	h	h	NOUN
ap-2095	43	29	,	,	PUNCT
ap-2095	43	30	i	i	NOUN
ap-2095	43	31	}	}	PUNCT
ap-2095	43	32	:	:	PUNCT
ap-2095	43	33	=	=	SYM
ap-2095	43	34	2∑	2∑	X
ap-2095	43	35	k=1	k=1	PUNCT
ap-2095	43	36	(	(	PUNCT
ap-2095	43	37	∂h	∂h	PROPN
ap-2095	43	38	∂xk	∂xk	PROPN
ap-2095	43	39	∂i	∂i	PROPN
ap-2095	43	40	∂pk	∂pk	PROPN
ap-2095	43	41	−	−	PROPN
ap-2095	43	42	∂i	∂i	PROPN
ap-2095	43	43	∂xk	∂xk	PROPN
ap-2095	43	44	∂h	∂h	PROPN
ap-2095	43	45	∂p2	∂p2	PROPN
ap-2095	43	46	)	)	PUNCT
ap-2095	43	47	.	.	PUNCT
ap-2095	44	1	this	this	PRON
ap-2095	44	2	identifies	identify	VERB
ap-2095	44	3	i	i	PRON
ap-2095	44	4	with	with	ADP
ap-2095	44	5	a	a	DET
ap-2095	44	6	constant	constant	NOUN
ap-2095	44	7	of	of	ADP
ap-2095	44	8	motion	motion	NOUN
ap-2095	44	9	for	for	ADP
ap-2095	44	10	the	the	DET
ap-2095	44	11	system	system	NOUN
ap-2095	44	12	s.	s.	PROPN
ap-2095	44	13	next	next	ADV
ap-2095	44	14	,	,	PUNCT
ap-2095	44	15	we	we	PRON
ap-2095	44	16	prove	prove	VERB
ap-2095	44	17	that	that	SCONJ
ap-2095	44	18	i	i	PRON
ap-2095	44	19	is	be	AUX
ap-2095	44	20	functionally	functionally	ADV
ap-2095	44	21	independent	independent	ADJ
ap-2095	44	22	of	of	ADP
ap-2095	44	23	h.	h.	PROPN
ap-2095	44	24	assume	assume	VERB
ap-2095	44	25	by	by	ADP
ap-2095	44	26	contradiction	contradiction	NOUN
ap-2095	44	27	that	that	PRON
ap-2095	45	1	i	i	PRON
ap-2095	45	2	=	=	SYM
ap-2095	45	3	f	f	PROPN
ap-2095	45	4	(	(	PUNCT
ap-2095	45	5	h	h	NOUN
ap-2095	45	6	)	)	PUNCT
ap-2095	45	7	for	for	ADP
ap-2095	45	8	some	some	DET
ap-2095	45	9	real	real	ADV
ap-2095	45	10	-	-	PUNCT
ap-2095	45	11	valued	value	VERB
ap-2095	45	12	differentiable	differentiable	ADJ
ap-2095	45	13	function	function	NOUN
ap-2095	45	14	f	f	NOUN
ap-2095	45	15	:	:	PUNCT
ap-2095	45	16	r→	r→	PROPN
ap-2095	45	17	r.	r.	PROPN
ap-2095	45	18	then	then	ADV
ap-2095	45	19	for	for	ADP
ap-2095	45	20	all	all	DET
ap-2095	45	21	z	z	NOUN
ap-2095	45	22	∈	∈	PROPN
ap-2095	45	23	{	{	PUNCT
ap-2095	45	24	x1	x1	PROPN
ap-2095	45	25	,	,	PUNCT
ap-2095	45	26	p1	p1	PROPN
ap-2095	45	27	,	,	PUNCT
ap-2095	45	28	x2	x2	PROPN
ap-2095	45	29	,	,	PUNCT
ap-2095	45	30	p2	p2	PROPN
ap-2095	45	31	}	}	PUNCT
ap-2095	45	32	,	,	PUNCT
ap-2095	45	33	∂i	∂i	PROPN
ap-2095	45	34	∂z	∂z	PROPN
ap-2095	46	1	=	=	PUNCT
ap-2095	46	2	f	f	PROPN
ap-2095	46	3	′	′	NUM
ap-2095	47	1	∂h	∂h	VERB
ap-2095	47	2	∂z	∂z	PROPN
ap-2095	47	3	,	,	PUNCT
ap-2095	47	4	(	(	PUNCT
ap-2095	47	5	11	11	NUM
ap-2095	47	6	)	)	PUNCT
ap-2095	47	7	where	where	SCONJ
ap-2095	47	8	f	f	PROPN
ap-2095	47	9	′	′	NUM
ap-2095	47	10	stands	stand	VERB
ap-2095	47	11	for	for	ADP
ap-2095	47	12	the	the	DET
ap-2095	47	13	derivative	derivative	NOUN
ap-2095	47	14	of	of	ADP
ap-2095	47	15	f	f	PROPN
ap-2095	47	16	.	.	PUNCT
ap-2095	48	1	substituting	substitute	VERB
ap-2095	48	2	(	(	PUNCT
ap-2095	48	3	11	11	NUM
ap-2095	48	4	)	)	PUNCT
ap-2095	48	5	in	in	ADP
ap-2095	48	6	(	(	PUNCT
ap-2095	48	7	10	10	NUM
ap-2095	48	8	)	)	PUNCT
ap-2095	48	9	,	,	PUNCT
ap-2095	48	10	we	we	PRON
ap-2095	48	11	find	find	VERB
ap-2095	48	12	∂h	∂h	VERB
ap-2095	48	13	∂x1	∂x1	NOUN
ap-2095	49	1	=	=	PUNCT
ap-2095	49	2	f	f	X
ap-2095	49	3	′	′	NUM
ap-2095	50	1	∂h	∂h	PROPN
ap-2095	50	2	∂x2	∂x2	NOUN
ap-2095	50	3	,	,	PUNCT
ap-2095	50	4	∂h	∂h	PROPN
ap-2095	50	5	∂x2	∂x2	NOUN
ap-2095	50	6	=	=	SYM
ap-2095	50	7	−f	−f	NOUN
ap-2095	50	8	′	′	NOUN
ap-2095	51	1	∂h	∂h	VERB
ap-2095	51	2	∂x1	∂x1	NOUN
ap-2095	51	3	,	,	PUNCT
ap-2095	51	4	∂h	∂h	PROPN
ap-2095	51	5	∂p1	∂p1	NOUN
ap-2095	51	6	=	=	SYM
ap-2095	51	7	−f	−f	ADJ
ap-2095	51	8	′	′	NOUN
ap-2095	52	1	∂h	∂h	PROPN
ap-2095	52	2	∂p̃2	∂p̃2	NOUN
ap-2095	52	3	,	,	PUNCT
ap-2095	52	4	∂h	∂h	PROPN
ap-2095	52	5	∂p2	∂p2	PROPN
ap-2095	53	1	=	=	PUNCT
ap-2095	53	2	f	f	X
ap-2095	53	3	′	′	NOUN
ap-2095	54	1	∂h	∂h	VERB
ap-2095	54	2	∂p̃1	∂p̃1	NOUN
ap-2095	54	3	.	.	PUNCT
ap-2095	55	1	we	we	PRON
ap-2095	55	2	can	can	AUX
ap-2095	55	3	use	use	VERB
ap-2095	55	4	these	these	DET
ap-2095	55	5	equations	equation	NOUN
ap-2095	55	6	to	to	PART
ap-2095	55	7	establish	establish	VERB
ap-2095	55	8	(	(	PUNCT
ap-2095	55	9	f	f	NOUN
ap-2095	55	10	′	′	NUM
ap-2095	55	11	2	2	NUM
ap-2095	55	12	+	+	CCONJ
ap-2095	55	13	1	1	X
ap-2095	55	14	)	)	PUNCT
ap-2095	55	15	∂h	∂h	VERB
ap-2095	55	16	∂x1	∂x1	NOUN
ap-2095	55	17	=	=	PUNCT
ap-2095	55	18	(	(	PUNCT
ap-2095	55	19	f	f	NOUN
ap-2095	55	20	′	′	NOUN
ap-2095	55	21	2	2	NUM
ap-2095	55	22	+	+	CCONJ
ap-2095	55	23	1	1	X
ap-2095	55	24	)	)	PUNCT
ap-2095	55	25	∂h	∂h	PROPN
ap-2095	55	26	∂x2	∂x2	NOUN
ap-2095	55	27	=	=	SYM
ap-2095	55	28	(	(	PUNCT
ap-2095	55	29	f	f	NOUN
ap-2095	56	1	′	′	NOUN
ap-2095	56	2	2	2	NUM
ap-2095	56	3	+	+	CCONJ
ap-2095	56	4	1	1	NUM
ap-2095	56	5	)	)	PUNCT
ap-2095	56	6	∂h	∂h	VERB
ap-2095	56	7	∂p1	∂p1	NOUN
ap-2095	56	8	=	=	SYM
ap-2095	56	9	(	(	PUNCT
ap-2095	56	10	f	f	NOUN
ap-2095	56	11	′	′	NOUN
ap-2095	56	12	2	2	NUM
ap-2095	56	13	+	+	CCONJ
ap-2095	56	14	1	1	NUM
ap-2095	56	15	)	)	PUNCT
ap-2095	57	1	∂h	∂h	PROPN
ap-2095	57	2	∂p2	∂p2	PROPN
ap-2095	57	3	=	=	NOUN
ap-2095	57	4	0	0	X
ap-2095	57	5	.	.	PUNCT
ap-2095	58	1	clearly	clearly	ADV
ap-2095	58	2	these	these	PRON
ap-2095	58	3	can	can	AUX
ap-2095	58	4	not	not	PART
ap-2095	58	5	be	be	AUX
ap-2095	58	6	satisfied	satisfied	ADJ
ap-2095	58	7	unless	unless	SCONJ
ap-2095	58	8	h	h	NOUN
ap-2095	58	9	is	be	AUX
ap-2095	58	10	a	a	DET
ap-2095	58	11	constant	constant	ADJ
ap-2095	58	12	function	function	NOUN
ap-2095	58	13	,	,	PUNCT
ap-2095	58	14	which	which	PRON
ap-2095	58	15	is	be	AUX
ap-2095	58	16	definitely	definitely	ADV
ap-2095	58	17	not	not	PART
ap-2095	58	18	the	the	DET
ap-2095	58	19	case	case	NOUN
ap-2095	58	20	.	.	PUNCT
ap-2095	59	1	this	this	PRON
ap-2095	59	2	completes	complete	VERB
ap-2095	59	3	the	the	DET
ap-2095	59	4	proof	proof	NOUN
ap-2095	59	5	that	that	SCONJ
ap-2095	59	6	i	i	PRON
ap-2095	59	7	is	be	AUX
ap-2095	59	8	a	a	DET
ap-2095	59	9	constant	constant	ADJ
ap-2095	59	10	of	of	ADP
ap-2095	59	11	motion	motion	NOUN
ap-2095	59	12	that	that	PRON
ap-2095	59	13	is	be	AUX
ap-2095	59	14	functionally	functionally	ADV
ap-2095	59	15	independent	independent	ADJ
ap-2095	59	16	of	of	ADP
ap-2095	59	17	h.	h.	PROPN
ap-2095	59	18	therefore	therefore	ADV
ap-2095	59	19	,	,	PUNCT
ap-2095	59	20	according	accord	VERB
ap-2095	59	21	to	to	ADP
ap-2095	59	22	liouville	liouville	PROPN
ap-2095	59	23	’s	’s	PART
ap-2095	59	24	integrability	integrability	NOUN
ap-2095	59	25	theorem	theorem	VERB
ap-2095	59	26	,	,	PUNCT
ap-2095	59	27	s	s	PART
ap-2095	59	28	is	be	AUX
ap-2095	59	29	completely	completely	ADV
ap-2095	59	30	integrable	integrable	ADJ
ap-2095	59	31	.	.	PUNCT
ap-2095	60	1	the	the	DET
ap-2095	60	2	following	follow	VERB
ap-2095	60	3	is	be	AUX
ap-2095	60	4	a	a	DET
ap-2095	60	5	straightforward	straightforward	ADJ
ap-2095	60	6	consequence	consequence	NOUN
ap-2095	60	7	of	of	ADP
ap-2095	60	8	theorem	theorem	NOUN
ap-2095	60	9	1	1	NUM
ap-2095	60	10	.	.	PUNCT
ap-2095	60	11	theorem	theorem	ADJ
ap-2095	60	12	2	2	NUM
ap-2095	60	13	(	(	PUNCT
ap-2095	60	14	harmonic	harmonic	ADJ
ap-2095	60	15	integrability	integrability	NOUN
ap-2095	60	16	)	)	PUNCT
ap-2095	60	17	.	.	PUNCT
ap-2095	61	1	let	let	VERB
ap-2095	61	2	t	t	NOUN
ap-2095	61	3	:	:	PUNCT
ap-2095	61	4	r2	r2	PROPN
ap-2095	61	5	→	→	SYM
ap-2095	61	6	r	r	NOUN
ap-2095	61	7	,	,	PUNCT
ap-2095	61	8	v	v	NOUN
ap-2095	61	9	:	:	PUNCT
ap-2095	61	10	r2	r2	PROPN
ap-2095	61	11	→	→	SYM
ap-2095	61	12	r	r	NOUN
ap-2095	61	13	,	,	PUNCT
ap-2095	61	14	and	and	CCONJ
ap-2095	61	15	h	h	NOUN
ap-2095	61	16	:	:	PUNCT
ap-2095	61	17	r4	r4	VERB
ap-2095	61	18	→	→	PUNCT
ap-2095	61	19	r	r	NOUN
ap-2095	61	20	be	be	AUX
ap-2095	61	21	twicecontinuously	twicecontinuously	ADV
ap-2095	61	22	-	-	PUNCT
ap-2095	61	23	differentiable	differentiable	ADJ
ap-2095	61	24	functions	function	NOUN
ap-2095	61	25	such	such	ADJ
ap-2095	61	26	that	that	SCONJ
ap-2095	61	27	h	h	NOUN
ap-2095	61	28	serves	serve	VERB
ap-2095	61	29	as	as	ADP
ap-2095	61	30	the	the	DET
ap-2095	61	31	hamiltonian	hamiltonian	NOUN
ap-2095	61	32	for	for	ADP
ap-2095	61	33	a	a	DET
ap-2095	61	34	classical	classical	ADJ
ap-2095	61	35	system	system	NOUN
ap-2095	61	36	s	s	PART
ap-2095	61	37	with	with	ADP
ap-2095	61	38	phase	phase	NOUN
ap-2095	61	39	space	space	NOUN
ap-2095	61	40	r4	r4	NOUN
ap-2095	61	41	and	and	CCONJ
ap-2095	61	42	has	have	VERB
ap-2095	61	43	the	the	DET
ap-2095	61	44	form	form	NOUN
ap-2095	61	45	h(x1	h(x1	NOUN
ap-2095	61	46	,	,	PUNCT
ap-2095	61	47	p1	p1	NOUN
ap-2095	61	48	,	,	PUNCT
ap-2095	61	49	x2	x2	PROPN
ap-2095	61	50	,	,	PUNCT
ap-2095	61	51	p2	p2	X
ap-2095	61	52	)	)	PUNCT
ap-2095	61	53	=	=	SYM
ap-2095	61	54	t	t	PROPN
ap-2095	61	55	(	(	PUNCT
ap-2095	61	56	p1	p1	PROPN
ap-2095	61	57	,	,	PUNCT
ap-2095	61	58	p2	p2	PROPN
ap-2095	61	59	)	)	PUNCT
ap-2095	62	1	+	+	NUM
ap-2095	62	2	v	v	X
ap-2095	62	3	(	(	PUNCT
ap-2095	62	4	x1	x1	PROPN
ap-2095	62	5	,	,	PUNCT
ap-2095	62	6	x2	x2	PROPN
ap-2095	62	7	)	)	PUNCT
ap-2095	62	8	.	.	PUNCT
ap-2095	63	1	(	(	PUNCT
ap-2095	63	2	12	12	NUM
ap-2095	63	3	)	)	PUNCT
ap-2095	63	4	then	then	ADV
ap-2095	63	5	s	s	VERB
ap-2095	63	6	is	be	AUX
ap-2095	63	7	completely	completely	ADV
ap-2095	63	8	integrable	integrable	ADJ
ap-2095	63	9	,	,	PUNCT
ap-2095	63	10	if	if	SCONJ
ap-2095	63	11	t	t	PROPN
ap-2095	63	12	and	and	CCONJ
ap-2095	63	13	v	v	NOUN
ap-2095	63	14	are	be	AUX
ap-2095	63	15	harmonic	harmonic	ADJ
ap-2095	63	16	functions	function	NOUN
ap-2095	63	17	.	.	PUNCT
ap-2095	64	1	proof	proof	NOUN
ap-2095	64	2	.	.	PUNCT
ap-2095	65	1	for	for	ADP
ap-2095	65	2	the	the	DET
ap-2095	65	3	hamiltonians	hamiltonian	NOUN
ap-2095	65	4	of	of	ADP
ap-2095	65	5	the	the	DET
ap-2095	65	6	form	form	NOUN
ap-2095	65	7	(	(	PUNCT
ap-2095	65	8	12	12	NUM
ap-2095	65	9	)	)	PUNCT
ap-2095	65	10	,	,	PUNCT
ap-2095	65	11	the	the	DET
ap-2095	65	12	2nd	2nd	ADJ
ap-2095	65	13	pair	pair	NOUN
ap-2095	65	14	of	of	ADP
ap-2095	65	15	conditions	condition	NOUN
ap-2095	65	16	in	in	ADP
ap-2095	65	17	(	(	PUNCT
ap-2095	65	18	1	1	X
ap-2095	65	19	)	)	PUNCT
ap-2095	65	20	is	be	AUX
ap-2095	65	21	trivially	trivially	ADV
ap-2095	65	22	satisfied	satisfied	ADJ
ap-2095	65	23	and	and	CCONJ
ap-2095	65	24	the	the	DET
ap-2095	65	25	1st	1st	ADJ
ap-2095	65	26	pair	pair	NOUN
ap-2095	65	27	is	be	AUX
ap-2095	65	28	equivalent	equivalent	ADJ
ap-2095	65	29	to	to	ADP
ap-2095	65	30	the	the	DET
ap-2095	65	31	condition	condition	NOUN
ap-2095	65	32	that	that	SCONJ
ap-2095	65	33	t	t	PROPN
ap-2095	65	34	and	and	CCONJ
ap-2095	65	35	v	v	NOUN
ap-2095	65	36	are	be	AUX
ap-2095	65	37	harmonic	harmonic	ADJ
ap-2095	65	38	functions	function	NOUN
ap-2095	65	39	.	.	PUNCT
ap-2095	66	1	therefore	therefore	ADV
ap-2095	66	2	,	,	PUNCT
ap-2095	66	3	according	accord	VERB
ap-2095	66	4	to	to	ADP
ap-2095	66	5	theorem	theorem	NOUN
ap-2095	66	6	1	1	NUM
ap-2095	66	7	,	,	PUNCT
ap-2095	66	8	s	s	VERB
ap-2095	66	9	is	be	AUX
ap-2095	66	10	completely	completely	ADV
ap-2095	66	11	integrable	integrable	ADJ
ap-2095	66	12	,	,	PUNCT
ap-2095	66	13	if	if	SCONJ
ap-2095	66	14	t	t	PROPN
ap-2095	66	15	and	and	CCONJ
ap-2095	66	16	v	v	NOUN
ap-2095	66	17	are	be	AUX
ap-2095	66	18	harmonic	harmonic	ADJ
ap-2095	66	19	functions	function	NOUN
ap-2095	66	20	.	.	PUNCT
ap-2095	67	1	given	give	VERB
ap-2095	67	2	a	a	DET
ap-2095	67	3	hamiltonian	hamiltonian	ADJ
ap-2095	67	4	h	h	NOUN
ap-2095	67	5	that	that	PRON
ap-2095	67	6	fulfils	fulfil	VERB
ap-2095	67	7	(	(	PUNCT
ap-2095	67	8	1	1	NUM
ap-2095	67	9	)	)	PUNCT
ap-2095	67	10	,	,	PUNCT
ap-2095	67	11	we	we	PRON
ap-2095	67	12	can	can	AUX
ap-2095	67	13	use	use	VERB
ap-2095	67	14	(	(	PUNCT
ap-2095	67	15	10	10	NUM
ap-2095	67	16	)	)	PUNCT
ap-2095	67	17	to	to	PART
ap-2095	67	18	construct	construct	VERB
ap-2095	67	19	an	an	DET
ap-2095	67	20	independent	independent	ADJ
ap-2095	67	21	constant	constant	NOUN
ap-2095	67	22	of	of	ADP
ap-2095	67	23	motion	motion	NOUN
ap-2095	67	24	i.	i.	NOUN
ap-2095	67	25	in	in	ADP
ap-2095	67	26	order	order	NOUN
ap-2095	67	27	to	to	PART
ap-2095	67	28	demonstrate	demonstrate	VERB
ap-2095	67	29	this	this	DET
ap-2095	67	30	construction	construction	NOUN
ap-2095	67	31	,	,	PUNCT
ap-2095	67	32	we	we	PRON
ap-2095	67	33	examine	examine	VERB
ap-2095	67	34	three	three	NUM
ap-2095	67	35	concrete	concrete	ADJ
ap-2095	67	36	examples	example	NOUN
ap-2095	67	37	.	.	PUNCT
ap-2095	68	1	in	in	ADP
ap-2095	68	2	the	the	DET
ap-2095	68	3	first	first	ADJ
ap-2095	68	4	two	two	NUM
ap-2095	68	5	of	of	ADP
ap-2095	68	6	these	these	PRON
ap-2095	68	7	,	,	PUNCT
ap-2095	68	8	h	h	PROPN
ap-2095	68	9	satisfies	satisfy	VERB
ap-2095	68	10	the	the	DET
ap-2095	68	11	conditions	condition	NOUN
ap-2095	68	12	of	of	ADP
ap-2095	68	13	theorem	theorem	NOUN
ap-2095	68	14	2	2	NUM
ap-2095	68	15	.	.	PUNCT
ap-2095	69	1	in	in	ADP
ap-2095	69	2	all	all	PRON
ap-2095	69	3	of	of	ADP
ap-2095	69	4	them	they	PRON
ap-2095	69	5	,	,	PUNCT
ap-2095	69	6	c	c	PROPN
ap-2095	69	7	is	be	AUX
ap-2095	69	8	an	an	DET
ap-2095	69	9	arbitrary	arbitrary	ADJ
ap-2095	69	10	real	real	ADJ
ap-2095	69	11	constant	constant	ADJ
ap-2095	69	12	.	.	PUNCT
ap-2095	69	13	example	example	NOUN
ap-2095	70	1	1	1	NUM
ap-2095	70	2	.	.	X
ap-2095	70	3	consider	consider	VERB
ap-2095	70	4	the	the	DET
ap-2095	70	5	hamiltonian	hamiltonian	ADJ
ap-2095	70	6	h	h	NOUN
ap-2095	70	7	:	:	PUNCT
ap-2095	70	8	=	=	SYM
ap-2095	70	9	1	1	NUM
ap-2095	70	10	2	2	NUM
ap-2095	70	11	(	(	PUNCT
ap-2095	70	12	p2	p2	PROPN
ap-2095	70	13	1	1	NUM
ap-2095	70	14	−	−	NOUN
ap-2095	70	15	p2	p2	NOUN
ap-2095	70	16	2	2	NUM
ap-2095	70	17	−	−	NOUN
ap-2095	70	18	x2	x2	NOUN
ap-2095	70	19	1	1	NUM
ap-2095	71	1	+	+	NUM
ap-2095	71	2	x2	x2	PROPN
ap-2095	71	3	2	2	NUM
ap-2095	71	4	)	)	PUNCT
ap-2095	71	5	,	,	PUNCT
ap-2095	71	6	which	which	PRON
ap-2095	71	7	is	be	AUX
ap-2095	71	8	clearly	clearly	ADV
ap-2095	71	9	of	of	ADP
ap-2095	71	10	the	the	DET
ap-2095	71	11	form	form	NOUN
ap-2095	71	12	(	(	PUNCT
ap-2095	71	13	12	12	NUM
ap-2095	71	14	)	)	PUNCT
ap-2095	71	15	for	for	ADP
ap-2095	71	16	a	a	DET
ap-2095	71	17	pair	pair	NOUN
ap-2095	71	18	of	of	ADP
ap-2095	71	19	harmonic	harmonic	ADJ
ap-2095	71	20	functions	function	NOUN
ap-2095	71	21	t	t	NOUN
ap-2095	71	22	and	and	CCONJ
ap-2095	71	23	v	v	NOUN
ap-2095	71	24	.	.	PUNCT
ap-2095	72	1	we	we	PRON
ap-2095	72	2	can	can	AUX
ap-2095	72	3	write	write	VERB
ap-2095	72	4	(	(	PUNCT
ap-2095	72	5	10	10	NUM
ap-2095	72	6	)	)	PUNCT
ap-2095	72	7	as	as	ADP
ap-2095	72	8	∂i	∂i	PROPN
ap-2095	72	9	∂x2	∂x2	PROPN
ap-2095	72	10	=	=	SYM
ap-2095	72	11	−x1	−x1	PROPN
ap-2095	72	12	,	,	PUNCT
ap-2095	72	13	∂i	∂i	PROPN
ap-2095	72	14	∂x1	∂x1	PROPN
ap-2095	72	15	=	=	PUNCT
ap-2095	72	16	−x2	−x2	PROPN
ap-2095	72	17	,	,	PUNCT
ap-2095	72	18	∂i	∂i	PROPN
ap-2095	72	19	∂p2	∂p2	PROPN
ap-2095	72	20	=	=	PUNCT
ap-2095	72	21	−p1	−p1	PROPN
ap-2095	72	22	,	,	PUNCT
ap-2095	72	23	∂i	∂i	PROPN
ap-2095	72	24	∂p1	∂p1	NOUN
ap-2095	72	25	=	=	SYM
ap-2095	72	26	−p2	−p2	PROPN
ap-2095	72	27	,	,	PUNCT
ap-2095	72	28	(	(	PUNCT
ap-2095	72	29	13	13	NUM
ap-2095	72	30	)	)	PUNCT
ap-2095	72	31	which	which	PRON
ap-2095	72	32	we	we	PRON
ap-2095	72	33	can	can	AUX
ap-2095	72	34	easily	easily	ADV
ap-2095	72	35	integrate	integrate	VERB
ap-2095	72	36	to	to	PART
ap-2095	72	37	find	find	VERB
ap-2095	72	38	i	i	PRON
ap-2095	72	39	=	=	PRON
ap-2095	72	40	−(x1x2	−(x1x2	X
ap-2095	72	41	+	+	X
ap-2095	72	42	p1p2	p1p2	NOUN
ap-2095	72	43	)	)	PUNCT
ap-2095	73	1	+	+	CCONJ
ap-2095	73	2	c.	c.	PROPN
ap-2095	73	3	example	example	NOUN
ap-2095	73	4	2	2	X
ap-2095	73	5	.	.	PUNCT
ap-2095	74	1	the	the	DET
ap-2095	74	2	hamiltonian	hamiltonian	ADJ
ap-2095	74	3	h	h	NOUN
ap-2095	74	4	:	:	PUNCT
ap-2095	74	5	=	=	SYM
ap-2095	74	6	ep1	ep1	NOUN
ap-2095	74	7	cos	cos	PROPN
ap-2095	74	8	p2	p2	PROPN
ap-2095	74	9	+	+	CCONJ
ap-2095	74	10	e−x1	e−x1	X
ap-2095	74	11	sin	sin	NOUN
ap-2095	74	12	x2	x2	PROPN
ap-2095	74	13	also	also	ADV
ap-2095	74	14	fulfils	fulfil	VERB
ap-2095	74	15	the	the	DET
ap-2095	74	16	hypothesis	hypothesis	NOUN
ap-2095	74	17	of	of	ADP
ap-2095	74	18	theorem	theorem	NOUN
ap-2095	74	19	2	2	NUM
ap-2095	74	20	.	.	X
ap-2095	74	21	for	for	ADP
ap-2095	74	22	this	this	DET
ap-2095	74	23	hamiltonian	hamiltonian	NOUN
ap-2095	74	24	,	,	PUNCT
ap-2095	74	25	(	(	PUNCT
ap-2095	74	26	10	10	NUM
ap-2095	74	27	)	)	PUNCT
ap-2095	74	28	takes	take	VERB
ap-2095	74	29	the	the	DET
ap-2095	74	30	form	form	NOUN
ap-2095	74	31	∂i	∂i	PROPN
ap-2095	74	32	∂x2	∂x2	NOUN
ap-2095	74	33	=	=	SYM
ap-2095	74	34	−e−x1	−e−x1	ADJ
ap-2095	74	35	sin	sin	NOUN
ap-2095	74	36	x2	x2	PROPN
ap-2095	74	37	,	,	PUNCT
ap-2095	74	38	∂i	∂i	PROPN
ap-2095	75	1	∂x1	∂x1	PROPN
ap-2095	75	2	=	=	PUNCT
ap-2095	75	3	−e−x1	−e−x1	PROPN
ap-2095	75	4	cos	cos	PROPN
ap-2095	75	5	x2	x2	PROPN
ap-2095	75	6	,	,	PUNCT
ap-2095	75	7	∂i	∂i	PROPN
ap-2095	75	8	∂p2	∂p2	PROPN
ap-2095	75	9	=	=	PUNCT
ap-2095	75	10	−ep1	−ep1	PROPN
ap-2095	75	11	cos	cos	ADJ
ap-2095	75	12	p2	p2	NOUN
ap-2095	75	13	,	,	PUNCT
ap-2095	75	14	∂i	∂i	PROPN
ap-2095	75	15	∂p1	∂p1	NOUN
ap-2095	75	16	=	=	SYM
ap-2095	75	17	−ep1	−ep1	ADJ
ap-2095	75	18	sin	sin	NOUN
ap-2095	75	19	p2	p2	NOUN
ap-2095	75	20	.	.	PUNCT
ap-2095	76	1	(	(	PUNCT
ap-2095	76	2	14	14	NUM
ap-2095	76	3	)	)	PUNCT
ap-2095	76	4	again	again	ADV
ap-2095	76	5	we	we	PRON
ap-2095	76	6	can	can	AUX
ap-2095	76	7	integrate	integrate	VERB
ap-2095	76	8	these	these	DET
ap-2095	76	9	equations	equation	NOUN
ap-2095	76	10	and	and	CCONJ
ap-2095	76	11	obtain	obtain	VERB
ap-2095	76	12	i	i	NOUN
ap-2095	76	13	=	=	PUNCT
ap-2095	76	14	e−x1	e−x1	ADJ
ap-2095	76	15	cos	cos	PROPN
ap-2095	76	16	x2	x2	PROPN
ap-2095	76	17	−	−	PROPN
ap-2095	76	18	ep1	ep1	NOUN
ap-2095	76	19	sin	sin	NOUN
ap-2095	76	20	p2	p2	PROPN
ap-2095	76	21	+	+	CCONJ
ap-2095	76	22	c.	c.	PROPN
ap-2095	76	23	example	example	NOUN
ap-2095	76	24	3	3	X
ap-2095	76	25	.	.	X
ap-2095	76	26	consider	consider	VERB
ap-2095	76	27	the	the	DET
ap-2095	76	28	hamiltonian	hamiltonian	ADJ
ap-2095	76	29	h	h	NOUN
ap-2095	76	30	:	:	PUNCT
ap-2095	76	31	=	=	SYM
ap-2095	76	32	1	1	NUM
ap-2095	76	33	4(x4	4(x4	NUM
ap-2095	76	34	1	1	NUM
ap-2095	76	35	−	−	ADP
ap-2095	76	36	6x2	6x2	NUM
ap-2095	76	37	1x2	1x2	NUM
ap-2095	76	38	2	2	NUM
ap-2095	76	39	+	+	CCONJ
ap-2095	76	40	x4	x4	X
ap-2095	76	41	2)(p4	2)(p4	NUM
ap-2095	76	42	1	1	NUM
ap-2095	76	43	−	−	NUM
ap-2095	76	44	6p2	6p2	NUM
ap-2095	76	45	1p2	1p2	NUM
ap-2095	76	46	2	2	NUM
ap-2095	76	47	+	+	CCONJ
ap-2095	76	48	p4	p4	ADJ
ap-2095	76	49	2	2	NUM
ap-2095	76	50	)	)	PUNCT
ap-2095	77	1	+	+	CCONJ
ap-2095	77	2	4x1x2(x2	4x1x2(x2	NUM
ap-2095	77	3	1	1	NUM
ap-2095	77	4	−	−	NOUN
ap-2095	77	5	x2	x2	NOUN
ap-2095	77	6	2)p1p2(p2	2)p1p2(p2	NUM
ap-2095	77	7	1	1	NUM
ap-2095	77	8	−	−	NOUN
ap-2095	77	9	p2	p2	PROPN
ap-2095	77	10	2	2	NUM
ap-2095	77	11	)	)	PUNCT
ap-2095	77	12	.	.	PUNCT
ap-2095	78	1	it	it	PRON
ap-2095	78	2	is	be	AUX
ap-2095	78	3	not	not	PART
ap-2095	78	4	difficult	difficult	ADJ
ap-2095	78	5	to	to	PART
ap-2095	78	6	check	check	VERB
ap-2095	78	7	that	that	SCONJ
ap-2095	78	8	it	it	PRON
ap-2095	78	9	satisfies	satisfy	VERB
ap-2095	78	10	(	(	PUNCT
ap-2095	78	11	1	1	NUM
ap-2095	78	12	)	)	PUNCT
ap-2095	78	13	,	,	PUNCT
ap-2095	78	14	but	but	CCONJ
ap-2095	78	15	that	that	SCONJ
ap-2095	78	16	it	it	PRON
ap-2095	78	17	can	can	AUX
ap-2095	78	18	not	not	PART
ap-2095	78	19	be	be	AUX
ap-2095	78	20	expressed	express	VERB
ap-2095	78	21	in	in	ADP
ap-2095	78	22	the	the	DET
ap-2095	78	23	form	form	NOUN
ap-2095	78	24	(	(	PUNCT
ap-2095	78	25	12	12	NUM
ap-2095	78	26	)	)	PUNCT
ap-2095	78	27	.	.	PUNCT
ap-2095	79	1	integrating	integrate	VERB
ap-2095	79	2	(	(	PUNCT
ap-2095	79	3	10	10	NUM
ap-2095	79	4	)	)	PUNCT
ap-2095	79	5	for	for	ADP
ap-2095	79	6	this	this	DET
ap-2095	79	7	choice	choice	NOUN
ap-2095	79	8	of	of	ADP
ap-2095	79	9	h	h	NOUN
ap-2095	79	10	gives	give	VERB
ap-2095	79	11	i	i	PRON
ap-2095	79	12	=	=	SYM
ap-2095	79	13	(	(	PUNCT
ap-2095	79	14	x1p1	x1p1	PROPN
ap-2095	79	15	+	+	NUM
ap-2095	79	16	x2p2)(x2p1	x2p2)(x2p1	PROPN
ap-2095	79	17	+	+	CCONJ
ap-2095	79	18	x1p2	x1p2	PROPN
ap-2095	79	19	)	)	PUNCT
ap-2095	79	20	[	[	PUNCT
ap-2095	79	21	(	(	PUNCT
ap-2095	79	22	x1	x1	PROPN
ap-2095	79	23	+	+	PROPN
ap-2095	79	24	x2)p1	x2)p1	PROPN
ap-2095	80	1	−	−	PROPN
ap-2095	81	1	(	(	PUNCT
ap-2095	81	2	x1	x1	PROPN
ap-2095	81	3	−	−	PROPN
ap-2095	81	4	x2)p2	x2)p2	PROPN
ap-2095	82	1	]	]	X
ap-2095	82	2	[	[	PUNCT
ap-2095	82	3	(	(	PUNCT
ap-2095	82	4	x1	x1	PROPN
ap-2095	82	5	−	−	PROPN
ap-2095	82	6	x2)p1	x2)p1	PROPN
ap-2095	83	1	+	+	CCONJ
ap-2095	83	2	(	(	PUNCT
ap-2095	83	3	x1	x1	PROPN
ap-2095	83	4	+	+	NUM
ap-2095	83	5	x2)p2	x2)p2	NOUN
ap-2095	83	6	]	]	PUNCT
ap-2095	84	1	+	+	CCONJ
ap-2095	84	2	c.	c.	NOUN
ap-2095	84	3	remark	remark	NOUN
ap-2095	84	4	.	.	PUNCT
ap-2095	85	1	we	we	PRON
ap-2095	85	2	became	become	VERB
ap-2095	85	3	aware	aware	ADJ
ap-2095	85	4	of	of	ADP
ap-2095	85	5	ref	ref	NOUN
ap-2095	85	6	.	.	PUNCT
ap-2095	86	1	[	[	X
ap-2095	86	2	1	1	X
ap-2095	86	3	]	]	PUNCT
ap-2095	86	4	when	when	SCONJ
ap-2095	86	5	this	this	DET
ap-2095	86	6	project	project	NOUN
ap-2095	86	7	was	be	AUX
ap-2095	86	8	complete	complete	ADJ
ap-2095	86	9	and	and	CCONJ
ap-2095	86	10	the	the	DET
ap-2095	86	11	first	first	ADJ
ap-2095	86	12	draft	draft	NOUN
ap-2095	86	13	of	of	ADP
ap-2095	86	14	the	the	DET
ap-2095	86	15	present	present	ADJ
ap-2095	86	16	paper	paper	NOUN
ap-2095	86	17	was	be	AUX
ap-2095	86	18	already	already	ADV
ap-2095	86	19	written	write	VERB
ap-2095	86	20	.	.	PUNCT
ap-2095	87	1	subsequently	subsequently	ADV
ap-2095	87	2	we	we	PRON
ap-2095	87	3	revised	revise	VERB
ap-2095	87	4	the	the	DET
ap-2095	87	5	paper	paper	NOUN
ap-2095	87	6	to	to	PART
ap-2095	87	7	give	give	VERB
ap-2095	87	8	due	due	ADJ
ap-2095	87	9	credit	credit	NOUN
ap-2095	87	10	to	to	ADP
ap-2095	87	11	the	the	DET
ap-2095	87	12	authors	author	NOUN
ap-2095	87	13	of	of	ADP
ap-2095	87	14	[	[	X
ap-2095	87	15	1	1	NUM
ap-2095	87	16	]	]	PUNCT
ap-2095	87	17	,	,	PUNCT
ap-2095	87	18	who	who	PRON
ap-2095	87	19	discussed	discuss	VERB
ap-2095	87	20	an	an	DET
ap-2095	87	21	equivalent	equivalent	ADJ
ap-2095	87	22	version	version	NOUN
ap-2095	87	23	of	of	ADP
ap-2095	87	24	theorem	theorem	NOUN
ap-2095	87	25	1	1	NUM
ap-2095	87	26	although	although	SCONJ
ap-2095	87	27	not	not	PART
ap-2095	87	28	in	in	ADP
ap-2095	87	29	the	the	DET
ap-2095	87	30	form	form	NOUN
ap-2095	87	31	of	of	ADP
ap-2095	87	32	an	an	DET
ap-2095	87	33	explicitly	explicitly	ADV
ap-2095	87	34	stated	state	VERB
ap-2095	87	35	mathematical	mathematical	ADJ
ap-2095	87	36	theorem	theorem	PROPN
ap-2095	87	37	.	.	PUNCT
ap-2095	88	1	conditions	condition	NOUN
ap-2095	88	2	(	(	PUNCT
ap-2095	88	3	1	1	X
ap-2095	88	4	)	)	PUNCT
ap-2095	88	5	coincide	coincide	NOUN
ap-2095	88	6	with	with	ADP
ap-2095	88	7	eqs	eqs	PROPN
ap-2095	88	8	.	.	PUNCT
ap-2095	89	1	(	(	PUNCT
ap-2095	89	2	10	10	NUM
ap-2095	89	3	)	)	PUNCT
ap-2095	89	4	of	of	ADP
ap-2095	89	5	ref	ref	NOUN
ap-2095	89	6	.	.	PUNCT
ap-2095	90	1	[	[	X
ap-2095	90	2	1	1	X
ap-2095	90	3	]	]	PUNCT
ap-2095	90	4	with	with	ADP
ap-2095	90	5	j	j	PROPN
ap-2095	90	6	=	=	SYM
ap-2095	90	7	1	1	NUM
ap-2095	90	8	provided	provide	VERB
ap-2095	90	9	that	that	SCONJ
ap-2095	90	10	we	we	PRON
ap-2095	90	11	perform	perform	VERB
ap-2095	90	12	the	the	DET
ap-2095	90	13	canonical	canonical	ADJ
ap-2095	90	14	transformation	transformation	NOUN
ap-2095	90	15	:	:	PUNCT
ap-2095	90	16	x1	x1	PROPN
ap-2095	90	17	→	→	SYM
ap-2095	90	18	x1	x1	PROPN
ap-2095	90	19	,	,	PUNCT
ap-2095	90	20	p1	p1	PROPN
ap-2095	90	21	→	→	SYM
ap-2095	90	22	p1	p1	PROPN
ap-2095	90	23	,	,	PUNCT
ap-2095	90	24	x2	x2	PROPN
ap-2095	90	25	→	→	SYM
ap-2095	90	26	−p2	−p2	PROPN
ap-2095	90	27	,	,	PUNCT
ap-2095	90	28	and	and	CCONJ
ap-2095	90	29	p2	p2	PROPN
ap-2095	90	30	→	→	SYM
ap-2095	90	31	x2	x2	PROPN
ap-2095	90	32	.	.	PUNCT
ap-2095	90	33	140	140	NUM
ap-2095	90	34	vol	vol	NOUN
ap-2095	90	35	.	.	PUNCT
ap-2095	91	1	54	54	NUM
ap-2095	91	2	no	no	NOUN
ap-2095	91	3	.	.	PUNCT
ap-2095	92	1	2/2014	2/2014	NOUN
ap-2095	93	1	a	a	DET
ap-2095	93	2	differential	differential	ADJ
ap-2095	93	3	integrability	integrability	NOUN
ap-2095	93	4	condition	condition	NOUN
ap-2095	93	5	acknowledgements	acknowledgement	NOUN
ap-2095	93	6	this	this	DET
ap-2095	93	7	work	work	NOUN
ap-2095	93	8	has	have	AUX
ap-2095	93	9	been	be	AUX
ap-2095	93	10	supported	support	VERB
ap-2095	93	11	by	by	ADP
ap-2095	93	12	the	the	DET
ap-2095	93	13	turkish	turkish	ADJ
ap-2095	93	14	academy	academy	PROPN
ap-2095	93	15	of	of	ADP
ap-2095	93	16	sciences	sciences	PROPN
ap-2095	93	17	(	(	PUNCT
ap-2095	93	18	tüba	tüba	NOUN
ap-2095	93	19	)	)	PUNCT
ap-2095	93	20	.	.	PUNCT
ap-2095	94	1	references	reference	NOUN
ap-2095	94	2	[	[	X
ap-2095	94	3	1	1	NUM
ap-2095	94	4	]	]	PUNCT
ap-2095	94	5	r.	r.	PROPN
ap-2095	94	6	s.	s.	PROPN
ap-2095	94	7	kaushal	kaushal	PROPN
ap-2095	94	8	and	and	CCONJ
ap-2095	94	9	h.	h.	PROPN
ap-2095	94	10	j.	j.	PROPN
ap-2095	94	11	korsch	korsch	PROPN
ap-2095	94	12	,	,	PUNCT
ap-2095	94	13	“	"	PUNCT
ap-2095	94	14	some	some	DET
ap-2095	94	15	remarks	remark	NOUN
ap-2095	94	16	on	on	ADP
ap-2095	94	17	complex	complex	ADJ
ap-2095	94	18	hamiltonian	hamiltonian	ADJ
ap-2095	94	19	systems	system	NOUN
ap-2095	94	20	,	,	PUNCT
ap-2095	94	21	”	"	PUNCT
ap-2095	94	22	phys	phy	NOUN
ap-2095	94	23	.	.	PUNCT
ap-2095	95	1	lett	lett	PROPN
ap-2095	95	2	.	.	PUNCT
ap-2095	96	1	a	a	DET
ap-2095	96	2	276	276	NUM
ap-2095	96	3	,	,	PUNCT
ap-2095	96	4	47	47	NUM
ap-2095	96	5	-	-	SYM
ap-2095	96	6	51	51	NUM
ap-2095	96	7	(	(	PUNCT
ap-2095	96	8	2000	2000	NUM
ap-2095	96	9	)	)	PUNCT
ap-2095	96	10	.	.	PUNCT
ap-2095	97	1	doi	doi	NOUN
ap-2095	97	2	:	:	PUNCT
ap-2095	97	3	10.1016	10.1016	NUM
ap-2095	97	4	/	/	SYM
ap-2095	97	5	s0375	s0375	VERB
ap-2095	97	6	-	-	PUNCT
ap-2095	97	7	9601(00)00647	9601(00)00647	NUM
ap-2095	97	8	-	-	SYM
ap-2095	97	9	2	2	NUM
ap-2095	97	10	[	[	X
ap-2095	97	11	2	2	NUM
ap-2095	97	12	]	]	PUNCT
ap-2095	97	13	a.	a.	NOUN
ap-2095	97	14	mostafazadeh	mostafazadeh	NOUN
ap-2095	97	15	,	,	PUNCT
ap-2095	97	16	“	"	PUNCT
ap-2095	97	17	real	real	ADJ
ap-2095	97	18	description	description	NOUN
ap-2095	97	19	of	of	ADP
ap-2095	97	20	classical	classical	ADJ
ap-2095	97	21	hamiltonian	hamiltonian	ADJ
ap-2095	97	22	dynamics	dynamic	NOUN
ap-2095	97	23	generated	generate	VERB
ap-2095	97	24	by	by	ADP
ap-2095	97	25	a	a	DET
ap-2095	97	26	complex	complex	ADJ
ap-2095	97	27	potential	potential	NOUN
ap-2095	97	28	,	,	PUNCT
ap-2095	97	29	”	"	PUNCT
ap-2095	97	30	phys	phy	NOUN
ap-2095	97	31	.	.	PUNCT
ap-2095	98	1	lett	lett	PROPN
ap-2095	98	2	.	.	PUNCT
ap-2095	99	1	a	a	DET
ap-2095	99	2	357	357	NUM
ap-2095	99	3	,	,	PUNCT
ap-2095	99	4	177	177	NUM
ap-2095	99	5	-	-	SYM
ap-2095	99	6	180	180	NUM
ap-2095	99	7	(	(	PUNCT
ap-2095	99	8	2006	2006	NUM
ap-2095	99	9	)	)	PUNCT
ap-2095	99	10	.	.	PUNCT
ap-2095	100	1	doi	doi	NOUN
ap-2095	100	2	:	:	PUNCT
ap-2095	100	3	10.1016	10.1016	NUM
ap-2095	100	4	/	/	SYM
ap-2095	100	5	j.physleta.2006.04.045	j.physleta.2006.04.045	PROPN
ap-2095	101	1	[	[	X
ap-2095	101	2	3	3	X
ap-2095	101	3	]	]	PUNCT
ap-2095	101	4	t.	t.	NOUN
ap-2095	101	5	curtright	curtright	NOUN
ap-2095	101	6	and	and	CCONJ
ap-2095	101	7	l.	l.	PROPN
ap-2095	101	8	mezincescu	mezincescu	PROPN
ap-2095	101	9	,	,	PUNCT
ap-2095	101	10	“	"	PUNCT
ap-2095	101	11	biorthogonal	biorthogonal	ADJ
ap-2095	101	12	quantum	quantum	NOUN
ap-2095	101	13	systems	system	NOUN
ap-2095	101	14	,	,	PUNCT
ap-2095	101	15	”	"	PUNCT
ap-2095	101	16	j.	j.	PROPN
ap-2095	101	17	math	math	PROPN
ap-2095	101	18	.	.	PUNCT
ap-2095	102	1	phys	phy	NOUN
ap-2095	102	2	.	.	PUNCT
ap-2095	103	1	41	41	NUM
ap-2095	103	2	,	,	PUNCT
ap-2095	103	3	092106	092106	NUM
ap-2095	103	4	(	(	PUNCT
ap-2095	103	5	2007	2007	NUM
ap-2095	103	6	)	)	PUNCT
ap-2095	103	7	.	.	PUNCT
ap-2095	104	1	doi	doi	NOUN
ap-2095	104	2	:	:	PUNCT
ap-2095	104	3	10.1063/1.2196243	10.1063/1.2196243	NUM
ap-2095	105	1	[	[	X
ap-2095	105	2	4	4	NUM
ap-2095	105	3	]	]	PUNCT
ap-2095	105	4	a.	a.	NOUN
ap-2095	105	5	l.	l.	PROPN
ap-2095	105	6	xavier	xavier	PROPN
ap-2095	105	7	jr	jr	PROPN
ap-2095	105	8	.	.	PROPN
ap-2095	105	9	and	and	CCONJ
ap-2095	105	10	m.	m.	PROPN
ap-2095	105	11	a.	a.	PROPN
ap-2095	105	12	m	m	PROPN
ap-2095	105	13	de	de	X
ap-2095	105	14	aguiar	aguiar	PROPN
ap-2095	105	15	,	,	PUNCT
ap-2095	105	16	“	"	PUNCT
ap-2095	105	17	complex	complex	ADJ
ap-2095	105	18	trajectories	trajectory	NOUN
ap-2095	105	19	in	in	ADP
ap-2095	105	20	the	the	DET
ap-2095	105	21	quartic	quartic	ADJ
ap-2095	105	22	oscillator	oscillator	NOUN
ap-2095	105	23	and	and	CCONJ
ap-2095	105	24	its	its	PRON
ap-2095	105	25	semiclassical	semiclassical	ADJ
ap-2095	105	26	coherent	coherent	ADJ
ap-2095	105	27	-	-	PUNCT
ap-2095	105	28	state	state	NOUN
ap-2095	105	29	propagator	propagator	NOUN
ap-2095	105	30	,	,	PUNCT
ap-2095	105	31	”	"	PUNCT
ap-2095	105	32	ann	ann	PROPN
ap-2095	105	33	.	.	PUNCT
ap-2095	105	34	phys	phys	PROPN
ap-2095	105	35	.	.	PUNCT
ap-2095	106	1	(	(	PUNCT
ap-2095	106	2	n.y	n.y	PROPN
ap-2095	106	3	.	.	PROPN
ap-2095	106	4	)	)	PUNCT
ap-2095	107	1	252	252	NUM
ap-2095	107	2	,	,	PUNCT
ap-2095	107	3	458	458	NUM
ap-2095	107	4	-	-	SYM
ap-2095	107	5	478	478	NUM
ap-2095	107	6	(	(	PUNCT
ap-2095	107	7	1996	1996	NUM
ap-2095	107	8	)	)	PUNCT
ap-2095	107	9	.	.	PUNCT
ap-2095	108	1	doi	doi	NOUN
ap-2095	108	2	:	:	PUNCT
ap-2095	108	3	10.1006	10.1006	NUM
ap-2095	108	4	/	/	SYM
ap-2095	108	5	aphy.1996.0141	aphy.1996.0141	VERB
ap-2095	108	6	141	141	NUM
ap-2095	108	7	http://dx.doi.org/10.1016/s0375-9601(00)00647-2	http://dx.doi.org/10.1016/s0375-9601(00)00647-2	NOUN
ap-2095	108	8	http://dx.doi.org/10.1016/j.physleta.2006.04.045	http://dx.doi.org/10.1016/j.physleta.2006.04.045	ADV
ap-2095	108	9	http://dx.doi.org/10.1063/1.2196243	http://dx.doi.org/10.1063/1.2196243	ADP
ap-2095	108	10	http://dx.doi.org/10.1006/aphy.1996.0141	http://dx.doi.org/10.1006/aphy.1996.0141	NOUN
ap-2095	108	11	acta	acta	PROPN
ap-2095	108	12	polytechnica	polytechnica	PROPN
ap-2095	108	13	54(2):139–141	54(2):139–141	PROPN
ap-2095	108	14	,	,	PUNCT
ap-2095	108	15	2014	2014	NUM
ap-2095	108	16	acknowledgements	acknowledgement	NOUN
ap-2095	108	17	references	reference	NOUN