id	sid	tid	token	lemma	pos
ap-1269	1	1	ap-5-10.dvi	ap-5-10.dvi	PROPN
ap-1269	1	2	acta	acta	PROPN
ap-1269	1	3	polytechnica	polytechnica	PROPN
ap-1269	1	4	vol	vol	NOUN
ap-1269	1	5	.	.	PROPN
ap-1269	2	1	50	50	NUM
ap-1269	2	2	no	no	NOUN
ap-1269	2	3	.	.	PUNCT
ap-1269	3	1	5/2010	5/2010	PRON
ap-1269	3	2	does	do	VERB
ap-1269	3	3	a	a	DET
ap-1269	3	4	functional	functional	ADJ
ap-1269	3	5	integral	integral	NOUN
ap-1269	3	6	really	really	ADV
ap-1269	3	7	need	need	VERB
ap-1269	3	8	a	a	DET
ap-1269	3	9	lagrangian	lagrangian	ADJ
ap-1269	3	10	?	?	PUNCT
ap-1269	4	1	d.	d.	PROPN
ap-1269	4	2	kochan	kochan	PROPN
ap-1269	4	3	abstract	abstract	ADJ
ap-1269	4	4	path	path	NOUN
ap-1269	4	5	integral	integral	ADJ
ap-1269	4	6	formulation	formulation	NOUN
ap-1269	4	7	of	of	ADP
ap-1269	4	8	quantum	quantum	ADJ
ap-1269	4	9	mechanics	mechanic	NOUN
ap-1269	4	10	(	(	PUNCT
ap-1269	4	11	and	and	CCONJ
ap-1269	4	12	also	also	ADV
ap-1269	4	13	other	other	ADJ
ap-1269	4	14	equivalent	equivalent	ADJ
ap-1269	4	15	formulations	formulation	NOUN
ap-1269	4	16	)	)	PUNCT
ap-1269	4	17	depends	depend	VERB
ap-1269	4	18	on	on	ADP
ap-1269	4	19	a	a	DET
ap-1269	4	20	lagrangian	lagrangian	ADJ
ap-1269	4	21	and/or	and/or	CCONJ
ap-1269	4	22	hamiltonian	hamiltonian	ADJ
ap-1269	4	23	function	function	NOUN
ap-1269	4	24	that	that	PRON
ap-1269	4	25	is	be	AUX
ap-1269	4	26	chosen	choose	VERB
ap-1269	4	27	to	to	PART
ap-1269	4	28	describe	describe	VERB
ap-1269	4	29	the	the	DET
ap-1269	4	30	underlying	underlie	VERB
ap-1269	4	31	classical	classical	ADJ
ap-1269	4	32	system	system	NOUN
ap-1269	4	33	.	.	PUNCT
ap-1269	5	1	the	the	DET
ap-1269	5	2	arbitrariness	arbitrariness	NOUN
ap-1269	5	3	presented	present	VERB
ap-1269	5	4	in	in	ADP
ap-1269	5	5	this	this	DET
ap-1269	5	6	choice	choice	NOUN
ap-1269	5	7	leads	lead	VERB
ap-1269	5	8	to	to	ADP
ap-1269	5	9	a	a	DET
ap-1269	5	10	phenomenon	phenomenon	NOUN
ap-1269	5	11	called	call	VERB
ap-1269	5	12	quantization	quantization	NOUN
ap-1269	5	13	ambiguity	ambiguity	NOUN
ap-1269	5	14	.	.	PUNCT
ap-1269	6	1	for	for	ADP
ap-1269	6	2	example	example	NOUN
ap-1269	6	3	both	both	CCONJ
ap-1269	6	4	l1	l1	PROPN
ap-1269	6	5	=	=	PROPN
ap-1269	6	6	q̇2	q̇2	PROPN
ap-1269	6	7	and	and	CCONJ
ap-1269	6	8	l2	l2	NOUN
ap-1269	6	9	=	=	SYM
ap-1269	6	10	eq̇	eq̇	X
ap-1269	6	11	are	be	AUX
ap-1269	6	12	suitable	suitable	ADJ
ap-1269	6	13	lagrangians	lagrangian	NOUN
ap-1269	6	14	on	on	ADP
ap-1269	6	15	a	a	DET
ap-1269	6	16	classical	classical	ADJ
ap-1269	6	17	level	level	NOUN
ap-1269	6	18	(	(	PUNCT
ap-1269	6	19	δl1	δl1	NOUN
ap-1269	6	20	=	=	SYM
ap-1269	6	21	δl2	δl2	NOUN
ap-1269	6	22	)	)	PUNCT
ap-1269	6	23	,	,	PUNCT
ap-1269	6	24	but	but	CCONJ
ap-1269	6	25	quantum	quantum	NOUN
ap-1269	6	26	mechanically	mechanically	ADV
ap-1269	6	27	they	they	PRON
ap-1269	6	28	are	be	AUX
ap-1269	6	29	diverse	diverse	ADJ
ap-1269	6	30	.	.	PUNCT
ap-1269	7	1	this	this	DET
ap-1269	7	2	paper	paper	NOUN
ap-1269	7	3	presents	present	VERB
ap-1269	7	4	a	a	DET
ap-1269	7	5	simple	simple	ADJ
ap-1269	7	6	rearrangement	rearrangement	NOUN
ap-1269	7	7	of	of	ADP
ap-1269	7	8	the	the	DET
ap-1269	7	9	path	path	NOUN
ap-1269	7	10	integral	integral	ADJ
ap-1269	7	11	to	to	ADP
ap-1269	7	12	a	a	DET
ap-1269	7	13	surface	surface	NOUN
ap-1269	7	14	functional	functional	ADJ
ap-1269	7	15	integral	integral	ADJ
ap-1269	7	16	.	.	PUNCT
ap-1269	8	1	it	it	PRON
ap-1269	8	2	is	be	AUX
ap-1269	8	3	shown	show	VERB
ap-1269	8	4	that	that	SCONJ
ap-1269	8	5	the	the	DET
ap-1269	8	6	surface	surface	NOUN
ap-1269	8	7	functional	functional	ADJ
ap-1269	8	8	integral	integral	ADJ
ap-1269	8	9	formulation	formulation	NOUN
ap-1269	8	10	gives	give	VERB
ap-1269	8	11	transition	transition	NOUN
ap-1269	8	12	probability	probability	NOUN
ap-1269	8	13	amplitude	amplitude	NOUN
ap-1269	8	14	which	which	PRON
ap-1269	8	15	is	be	AUX
ap-1269	8	16	free	free	ADJ
ap-1269	8	17	of	of	ADP
ap-1269	8	18	any	any	DET
ap-1269	8	19	lagrangian	lagrangian	ADJ
ap-1269	8	20	/	/	SYM
ap-1269	8	21	hamiltonian	hamiltonian	NOUN
ap-1269	8	22	and	and	CCONJ
ap-1269	8	23	requires	require	VERB
ap-1269	8	24	just	just	ADV
ap-1269	8	25	the	the	DET
ap-1269	8	26	underlying	underlie	VERB
ap-1269	8	27	classical	classical	ADJ
ap-1269	8	28	equations	equation	NOUN
ap-1269	8	29	of	of	ADP
ap-1269	8	30	motion	motion	NOUN
ap-1269	8	31	.	.	PUNCT
ap-1269	9	1	a	a	DET
ap-1269	9	2	simple	simple	ADJ
ap-1269	9	3	example	example	NOUN
ap-1269	9	4	examining	examine	VERB
ap-1269	9	5	the	the	DET
ap-1269	9	6	functionality	functionality	NOUN
ap-1269	9	7	of	of	ADP
ap-1269	9	8	the	the	DET
ap-1269	9	9	proposed	propose	VERB
ap-1269	9	10	method	method	NOUN
ap-1269	9	11	is	be	AUX
ap-1269	9	12	considered	consider	VERB
ap-1269	9	13	.	.	PUNCT
ap-1269	10	1	dedicated	dedicate	VERB
ap-1269	10	2	to	to	ADP
ap-1269	10	3	my	my	PRON
ap-1269	10	4	friend	friend	NOUN
ap-1269	10	5	and	and	CCONJ
ap-1269	10	6	colleague	colleague	NOUN
ap-1269	10	7	pavel	pavel	PROPN
ap-1269	10	8	bóna	bóna	PROPN
ap-1269	10	9	.	.	PUNCT
ap-1269	11	1	keywords	keyword	NOUN
ap-1269	11	2	:	:	PUNCT
ap-1269	11	3	quantization	quantization	NOUN
ap-1269	11	4	of	of	ADP
ap-1269	11	5	(	(	PUNCT
ap-1269	11	6	non-)lagrangian	non-)lagrangian	NOUN
ap-1269	11	7	systems	system	NOUN
ap-1269	11	8	,	,	PUNCT
ap-1269	11	9	path	path	NOUN
ap-1269	11	10	vs.	vs.	ADP
ap-1269	11	11	surface	surface	NOUN
ap-1269	11	12	functional	functional	ADJ
ap-1269	11	13	integral	integral	ADJ
ap-1269	11	14	.	.	PUNCT
ap-1269	12	1	1	1	NUM
ap-1269	12	2	a	a	DET
ap-1269	12	3	standard	standard	ADJ
ap-1269	12	4	path	path	NOUN
ap-1269	12	5	integral	integral	ADJ
ap-1269	12	6	lore	lore	NOUN
ap-1269	12	7	according	accord	VERB
ap-1269	12	8	to	to	ADP
ap-1269	12	9	feynman	feynman	PROPN
ap-1269	13	1	[	[	X
ap-1269	13	2	1	1	NUM
ap-1269	13	3	]	]	PUNCT
ap-1269	13	4	,	,	PUNCT
ap-1269	13	5	the	the	DET
ap-1269	13	6	probability	probability	NOUN
ap-1269	13	7	amplitude	amplitude	NOUN
ap-1269	13	8	of	of	ADP
ap-1269	13	9	the	the	DET
ap-1269	13	10	transition	transition	NOUN
ap-1269	13	11	of	of	ADP
ap-1269	13	12	a	a	DET
ap-1269	13	13	system	system	NOUN
ap-1269	13	14	from	from	ADP
ap-1269	13	15	the	the	DET
ap-1269	13	16	space	space	NOUN
ap-1269	13	17	-	-	PUNCT
ap-1269	13	18	time	time	NOUN
ap-1269	13	19	configuration	configuration	NOUN
ap-1269	13	20	(	(	PUNCT
ap-1269	13	21	q0	q0	PROPN
ap-1269	13	22	,	,	PUNCT
ap-1269	13	23	t0	t0	PROPN
ap-1269	13	24	)	)	PUNCT
ap-1269	13	25	to	to	ADP
ap-1269	13	26	(	(	PUNCT
ap-1269	13	27	q1	q1	PROPN
ap-1269	13	28	,	,	PUNCT
ap-1269	13	29	t1	t1	NOUN
ap-1269	13	30	)	)	PUNCT
ap-1269	13	31	is	be	AUX
ap-1269	13	32	given	give	VERB
ap-1269	13	33	as	as	SCONJ
ap-1269	13	34	follows	follow	VERB
ap-1269	13	35	:	:	PUNCT
ap-1269	13	36	a(q1	a(q1	NOUN
ap-1269	13	37	,	,	PUNCT
ap-1269	13	38	t1	t1	PROPN
ap-1269	13	39	|	|	ADV
ap-1269	13	40	q0	q0	NOUN
ap-1269	13	41	,	,	PUNCT
ap-1269	13	42	t0	t0	PROPN
ap-1269	13	43	)	)	PUNCT
ap-1269	13	44	∝∫	∝∫	PUNCT
ap-1269	14	1	[	[	X
ap-1269	14	2	dγ̃	dγ̃	ADP
ap-1269	14	3	]	]	X
ap-1269	14	4	exp	exp	NOUN
ap-1269	14	5	{	{	PUNCT
ap-1269	14	6	i	i	PRON
ap-1269	14	7	h̄	h̄	VERB
ap-1269	14	8	∫	∫	PROPN
ap-1269	14	9	γ̃	γ̃	PROPN
ap-1269	14	10	padqa	padqa	VERB
ap-1269	14	11	−	−	PROPN
ap-1269	14	12	hdt	hdt	PROPN
ap-1269	14	13	}	}	PUNCT
ap-1269	14	14	.	.	PUNCT
ap-1269	15	1	(	(	PUNCT
ap-1269	15	2	1	1	X
ap-1269	15	3	)	)	PUNCT
ap-1269	15	4	here	here	ADV
ap-1269	15	5	the	the	DET
ap-1269	15	6	path	path	NOUN
ap-1269	15	7	-	-	PUNCT
ap-1269	15	8	summation	summation	NOUN
ap-1269	15	9	is	be	AUX
ap-1269	15	10	taken	take	VERB
ap-1269	15	11	over	over	ADP
ap-1269	15	12	all	all	DET
ap-1269	15	13	trajectories	trajectory	NOUN
ap-1269	15	14	γ̃(t	γ̃(t	PROPN
ap-1269	15	15	)	)	PUNCT
ap-1269	16	1	=	=	SYM
ap-1269	16	2	(	(	PUNCT
ap-1269	16	3	q̃(t	q̃(t	PROPN
ap-1269	16	4	)	)	PUNCT
ap-1269	16	5	,	,	PUNCT
ap-1269	16	6	p̃(t	p̃(t	PROPN
ap-1269	16	7	)	)	PUNCT
ap-1269	16	8	,	,	PUNCT
ap-1269	16	9	t	t	PROPN
ap-1269	16	10	)	)	PUNCT
ap-1269	16	11	in	in	ADP
ap-1269	16	12	the	the	DET
ap-1269	16	13	extended	extend	VERB
ap-1269	16	14	phase	phase	NOUN
ap-1269	16	15	space	space	NOUN
ap-1269	16	16	which	which	PRON
ap-1269	16	17	are	be	AUX
ap-1269	16	18	constrained	constrain	VERB
ap-1269	16	19	as	as	SCONJ
ap-1269	16	20	follows	follow	VERB
ap-1269	16	21	:	:	PUNCT
ap-1269	16	22	γ̃(t0	γ̃(t0	X
ap-1269	16	23	)	)	PUNCT
ap-1269	16	24	=	=	PRON
ap-1269	17	1	(	(	PUNCT
ap-1269	17	2	q̃(t0	q̃(t0	NOUN
ap-1269	17	3	)	)	PUNCT
ap-1269	18	1	=	=	VERB
ap-1269	18	2	q0	q0	PROPN
ap-1269	18	3	,	,	PUNCT
ap-1269	18	4	p̃(t0	p̃(t0	NOUN
ap-1269	18	5	)	)	PUNCT
ap-1269	18	6	–	–	PUNCT
ap-1269	18	7	arbitrary	arbitrary	ADJ
ap-1269	18	8	,	,	PUNCT
ap-1269	18	9	t0	t0	PROPN
ap-1269	18	10	)	)	PUNCT
ap-1269	18	11	,	,	PUNCT
ap-1269	18	12	γ̃(t1	γ̃(t1	PROPN
ap-1269	18	13	)	)	PUNCT
ap-1269	19	1	=	=	PRON
ap-1269	19	2	(	(	PUNCT
ap-1269	19	3	q̃(t1	q̃(t1	X
ap-1269	19	4	)	)	PUNCT
ap-1269	19	5	=	=	SYM
ap-1269	19	6	q1	q1	PROPN
ap-1269	19	7	,	,	PUNCT
ap-1269	19	8	p̃(t1	p̃(t1	NOUN
ap-1269	19	9	)	)	PUNCT
ap-1269	19	10	–	–	PUNCT
ap-1269	19	11	arbitrary	arbitrary	ADJ
ap-1269	19	12	,	,	PUNCT
ap-1269	19	13	t1	t1	NOUN
ap-1269	19	14	)	)	PUNCT
ap-1269	19	15	.	.	PUNCT
ap-1269	20	1	to	to	PART
ap-1269	20	2	obtain	obtain	VERB
ap-1269	20	3	a	a	DET
ap-1269	20	4	proper	proper	ADJ
ap-1269	20	5	normalization	normalization	NOUN
ap-1269	20	6	of	of	ADP
ap-1269	20	7	the	the	DET
ap-1269	20	8	feynman	feynman	PROPN
ap-1269	20	9	propagator	propagator	NOUN
ap-1269	20	10	,	,	PUNCT
ap-1269	20	11	one	one	PRON
ap-1269	20	12	requires	require	VERB
ap-1269	20	13	:	:	PUNCT
ap-1269	20	14	δ(q̃0	δ(q̃0	PROPN
ap-1269	20	15	−	−	PROPN
ap-1269	20	16	q0	q0	PROPN
ap-1269	20	17	)	)	PUNCT
ap-1269	21	1	=	=	SYM
ap-1269	21	2	∫	∫	PROPN
ap-1269	21	3	rn[q1	rn[q1	PROPN
ap-1269	21	4	]	]	PUNCT
ap-1269	21	5	dq1a∗(q1	dq1a∗(q1	NOUN
ap-1269	21	6	,	,	PUNCT
ap-1269	21	7	t1	t1	PROPN
ap-1269	21	8	|	|	ADV
ap-1269	21	9	q̃0	q̃0	PROPN
ap-1269	21	10	,	,	PUNCT
ap-1269	21	11	t0)a(q1	t0)a(q1	PROPN
ap-1269	21	12	,	,	PUNCT
ap-1269	21	13	t1	t1	NOUN
ap-1269	22	1	|	|	ADV
ap-1269	22	2	q0	q0	NOUN
ap-1269	22	3	,	,	PUNCT
ap-1269	22	4	t0	t0	PROPN
ap-1269	22	5	)	)	PUNCT
ap-1269	22	6	,	,	PUNCT
ap-1269	22	7	δ(q1	δ(q1	NOUN
ap-1269	22	8	−	−	PROPN
ap-1269	22	9	q0	q0	PROPN
ap-1269	22	10	)	)	PUNCT
ap-1269	23	1	=	=	SYM
ap-1269	23	2	lim	lim	PROPN
ap-1269	23	3	t1→t0	t1→t0	VERB
ap-1269	23	4	a(q1	a(q1	NOUN
ap-1269	23	5	,	,	PUNCT
ap-1269	23	6	t1	t1	PROPN
ap-1269	24	1	|	|	ADV
ap-1269	24	2	q0	q0	NOUN
ap-1269	24	3	,	,	PUNCT
ap-1269	24	4	t0	t0	PROPN
ap-1269	24	5	)	)	PUNCT
ap-1269	24	6	.	.	PUNCT
ap-1269	25	1	the	the	DET
ap-1269	25	2	first	first	ADJ
ap-1269	25	3	equation	equation	NOUN
ap-1269	25	4	asks	ask	VERB
ap-1269	25	5	for	for	ADP
ap-1269	25	6	the	the	DET
ap-1269	25	7	conservation	conservation	NOUN
ap-1269	25	8	of	of	ADP
ap-1269	25	9	the	the	DET
ap-1269	25	10	total	total	ADJ
ap-1269	25	11	probability	probability	NOUN
ap-1269	25	12	and	and	CCONJ
ap-1269	25	13	the	the	DET
ap-1269	25	14	second	second	ADJ
ap-1269	25	15	expresses	express	VERB
ap-1269	25	16	the	the	DET
ap-1269	25	17	obvious	obvious	ADJ
ap-1269	25	18	fact	fact	NOUN
ap-1269	25	19	that	that	SCONJ
ap-1269	25	20	no	no	DET
ap-1269	25	21	evolution	evolution	NOUN
ap-1269	25	22	takes	take	VERB
ap-1269	25	23	place	place	NOUN
ap-1269	25	24	whenever	whenever	SCONJ
ap-1269	25	25	t1	t1	PROPN
ap-1269	25	26	approaches	approach	VERB
ap-1269	25	27	t0	t0	PROPN
ap-1269	25	28	.	.	PUNCT
ap-1269	26	1	it	it	PRON
ap-1269	26	2	is	be	AUX
ap-1269	26	3	a	a	DET
ap-1269	26	4	miraculous	miraculous	ADJ
ap-1269	26	5	consequence	consequence	NOUN
ap-1269	26	6	(	(	PUNCT
ap-1269	26	7	not	not	PART
ap-1269	26	8	a	a	DET
ap-1269	26	9	requirement	requirement	NOUN
ap-1269	26	10	!	!	PUNCT
ap-1269	26	11	)	)	PUNCT
ap-1269	26	12	of	of	ADP
ap-1269	26	13	the	the	DET
ap-1269	26	14	propagator	propagator	NOUN
ap-1269	26	15	definition	definition	NOUN
ap-1269	26	16	(	(	PUNCT
ap-1269	26	17	1	1	NUM
ap-1269	26	18	)	)	PUNCT
ap-1269	26	19	that	that	SCONJ
ap-1269	26	20	it	it	PRON
ap-1269	26	21	satisfies	satisfy	VERB
ap-1269	26	22	an	an	DET
ap-1269	26	23	evolutionary	evolutionary	ADJ
ap-1269	26	24	chain	chain	NOUN
ap-1269	26	25	rule	rule	NOUN
ap-1269	26	26	(	(	PUNCT
ap-1269	26	27	chapman	chapman	NOUN
ap-1269	26	28	-	-	PUNCT
ap-1269	26	29	kolmogorov	kolmogorov	PROPN
ap-1269	26	30	equation	equation	NOUN
ap-1269	26	31	)	)	PUNCT
ap-1269	26	32	a(q1	a(q1	NOUN
ap-1269	26	33	,	,	PUNCT
ap-1269	26	34	t1	t1	PROPN
ap-1269	27	1	|	|	ADV
ap-1269	27	2	q0	q0	NOUN
ap-1269	27	3	,	,	PUNCT
ap-1269	27	4	t0	t0	PROPN
ap-1269	27	5	)	)	PUNCT
ap-1269	28	1	=	=	NOUN
ap-1269	28	2	∫	∫	PROPN
ap-1269	28	3	rn[q	rn[q	PROPN
ap-1269	28	4	]	]	X
ap-1269	28	5	dq	dq	PROPN
ap-1269	28	6	a(q1	a(q1	NOUN
ap-1269	28	7	,	,	PUNCT
ap-1269	28	8	t1	t1	NOUN
ap-1269	28	9	|	|	ADV
ap-1269	28	10	q	q	NOUN
ap-1269	28	11	,	,	PUNCT
ap-1269	28	12	t)a(q	t)a(q	PROPN
ap-1269	28	13	,	,	PUNCT
ap-1269	28	14	t	t	PROPN
ap-1269	28	15	|	|	ADV
ap-1269	28	16	q0	q0	PROPN
ap-1269	28	17	,	,	PUNCT
ap-1269	28	18	t0	t0	PROPN
ap-1269	28	19	)	)	PUNCT
ap-1269	28	20	,	,	PUNCT
ap-1269	28	21	whose	whose	DET
ap-1269	28	22	infinitesimal	infinitesimal	ADJ
ap-1269	28	23	version	version	NOUN
ap-1269	28	24	is	be	AUX
ap-1269	28	25	the	the	DET
ap-1269	28	26	celebrated	celebrate	VERB
ap-1269	28	27	schrödinger	schrödinger	NOUN
ap-1269	28	28	equation	equation	NOUN
ap-1269	28	29	.	.	PUNCT
ap-1269	29	1	it	it	PRON
ap-1269	29	2	is	be	AUX
ap-1269	29	3	a	a	DET
ap-1269	29	4	curious	curious	ADJ
ap-1269	29	5	fact	fact	NOUN
ap-1269	29	6	that	that	SCONJ
ap-1269	29	7	formula	formula	NOUN
ap-1269	29	8	(	(	PUNCT
ap-1269	29	9	1	1	X
ap-1269	29	10	)	)	PUNCT
ap-1269	29	11	was	be	AUX
ap-1269	29	12	not	not	PART
ap-1269	29	13	originally	originally	ADV
ap-1269	29	14	discovered	discover	VERB
ap-1269	29	15	by	by	ADP
ap-1269	29	16	feynman	feynman	PROPN
ap-1269	29	17	.	.	PUNCT
ap-1269	30	1	in	in	ADP
ap-1269	30	2	his	his	PRON
ap-1269	30	3	pioneering	pioneer	VERB
ap-1269	30	4	paper	paper	NOUN
ap-1269	30	5	[	[	X
ap-1269	30	6	2	2	X
ap-1269	30	7	]	]	PUNCT
ap-1269	30	8	he	he	PRON
ap-1269	30	9	arrives	arrive	VERB
ap-1269	30	10	at	at	ADP
ap-1269	30	11	a	a	DET
ap-1269	30	12	functional	functional	ADJ
ap-1269	30	13	integral	integral	NOUN
ap-1269	30	14	in	in	ADP
ap-1269	30	15	the	the	DET
ap-1269	30	16	configuration	configuration	NOUN
ap-1269	30	17	space	space	NOUN
ap-1269	30	18	only	only	ADV
ap-1269	30	19	a(q1	a(q1	NOUN
ap-1269	30	20	,	,	PUNCT
ap-1269	30	21	t1	t1	PROPN
ap-1269	31	1	|	|	ADV
ap-1269	31	2	q0	q0	NOUN
ap-1269	31	3	,	,	PUNCT
ap-1269	31	4	t0	t0	PROPN
ap-1269	31	5	)	)	PUNCT
ap-1269	31	6	∝∫	∝∫	PUNCT
ap-1269	32	1	[	[	X
ap-1269	32	2	dq	dq	X
ap-1269	32	3	]	]	X
ap-1269	32	4	exp	exp	NOUN
ap-1269	32	5	{	{	PUNCT
ap-1269	32	6	i	i	PRON
ap-1269	32	7	h̄	h̄	VERB
ap-1269	32	8	∫	∫	PROPN
ap-1269	32	9	q(t	q(t	PROPN
ap-1269	32	10	)	)	PUNCT
ap-1269	32	11	l(q	l(q	PROPN
ap-1269	32	12	,	,	PUNCT
ap-1269	32	13	q̇	q̇	ADV
ap-1269	32	14	,	,	PUNCT
ap-1269	32	15	t)dt	t)dt	PROPN
ap-1269	32	16	}	}	PUNCT
ap-1269	32	17	.	.	PUNCT
ap-1269	33	1	(	(	PUNCT
ap-1269	33	2	2	2	X
ap-1269	33	3	)	)	PUNCT
ap-1269	33	4	later	later	ADV
ap-1269	33	5	,	,	PUNCT
ap-1269	33	6	however	however	ADV
ap-1269	33	7	,	,	PUNCT
ap-1269	33	8	it	it	PRON
ap-1269	33	9	was	be	AUX
ap-1269	33	10	shown	show	VERB
ap-1269	33	11	that	that	SCONJ
ap-1269	33	12	this	this	DET
ap-1269	33	13	formula	formula	NOUN
ap-1269	33	14	represents	represent	VERB
ap-1269	33	15	a	a	DET
ap-1269	33	16	very	very	ADV
ap-1269	33	17	special	special	ADJ
ap-1269	33	18	case	case	NOUN
ap-1269	33	19	of	of	ADP
ap-1269	33	20	the	the	DET
ap-1269	33	21	most	most	ADV
ap-1269	33	22	general	general	ADJ
ap-1269	33	23	prescription	prescription	NOUN
ap-1269	33	24	(	(	PUNCT
ap-1269	33	25	1	1	NUM
ap-1269	33	26	)	)	PUNCT
ap-1269	33	27	.	.	PUNCT
ap-1269	34	1	formula	formula	NOUN
ap-1269	34	2	(	(	PUNCT
ap-1269	34	3	1	1	X
ap-1269	34	4	)	)	PUNCT
ap-1269	34	5	is	be	AUX
ap-1269	34	6	at	at	ADP
ap-1269	34	7	the	the	DET
ap-1269	34	8	heart	heart	NOUN
ap-1269	34	9	of	of	ADP
ap-1269	34	10	our	our	PRON
ap-1269	34	11	further	further	ADJ
ap-1269	34	12	discussion	discussion	NOUN
ap-1269	34	13	.	.	PUNCT
ap-1269	35	1	2	2	NUM
ap-1269	35	2	dehamiltonianization	dehamiltonianization	NOUN
ap-1269	35	3	a	a	DET
ap-1269	35	4	step	step	NOUN
ap-1269	35	5	beyond	beyond	ADP
ap-1269	35	6	involves	involve	NOUN
ap-1269	35	7	eliminating	eliminate	VERB
ap-1269	35	8	the	the	DET
ap-1269	35	9	hamiltonian	hamiltonian	ADJ
ap-1269	35	10	function	function	NOUN
ap-1269	35	11	h	h	NOUN
ap-1269	35	12	from	from	ADP
ap-1269	35	13	formula	formula	NOUN
ap-1269	35	14	(	(	PUNCT
ap-1269	35	15	1	1	NUM
ap-1269	35	16	)	)	PUNCT
ap-1269	35	17	.	.	PUNCT
ap-1269	36	1	the	the	DET
ap-1269	36	2	price	price	NOUN
ap-1269	36	3	to	to	PART
ap-1269	36	4	be	be	AUX
ap-1269	36	5	paid	pay	VERB
ap-1269	36	6	for	for	ADP
ap-1269	36	7	this	this	PRON
ap-1269	36	8	will	will	AUX
ap-1269	36	9	be	be	AUX
ap-1269	36	10	to	to	PART
ap-1269	36	11	replace	replace	VERB
ap-1269	36	12	the	the	DET
ap-1269	36	13	path	path	NOUN
ap-1269	36	14	summation	summation	NOUN
ap-1269	36	15	therein	therein	ADV
ap-1269	36	16	by	by	ADP
ap-1269	36	17	a	a	DET
ap-1269	36	18	surface	surface	NOUN
ap-1269	36	19	functional	functional	ADJ
ap-1269	36	20	integration	integration	NOUN
ap-1269	36	21	.	.	PUNCT
ap-1269	37	1	our	our	PRON
ap-1269	37	2	aim	aim	NOUN
ap-1269	37	3	is	be	AUX
ap-1269	37	4	the	the	DET
ap-1269	37	5	transition	transition	NOUN
ap-1269	37	6	probability	probability	NOUN
ap-1269	37	7	amplitude	amplitude	NOUN
ap-1269	37	8	between	between	ADP
ap-1269	37	9	(	(	PUNCT
ap-1269	37	10	q0	q0	PROPN
ap-1269	37	11	,	,	PUNCT
ap-1269	37	12	t0	t0	PROPN
ap-1269	37	13	)	)	PUNCT
ap-1269	37	14	and	and	CCONJ
ap-1269	37	15	(	(	PUNCT
ap-1269	37	16	q1	q1	PROPN
ap-1269	37	17	,	,	PUNCT
ap-1269	37	18	t1	t1	NOUN
ap-1269	37	19	)	)	PUNCT
ap-1269	37	20	.	.	PUNCT
ap-1269	38	1	let	let	VERB
ap-1269	38	2	us	we	PRON
ap-1269	38	3	suppose	suppose	VERB
ap-1269	38	4	that	that	SCONJ
ap-1269	38	5	there	there	PRON
ap-1269	38	6	exists	exist	VERB
ap-1269	38	7	a	a	DET
ap-1269	38	8	unique	unique	ADJ
ap-1269	38	9	classical	classical	ADJ
ap-1269	38	10	trajectory	trajectory	NOUN
ap-1269	38	11	in	in	ADP
ap-1269	38	12	the	the	DET
ap-1269	38	13	extended	extend	VERB
ap-1269	38	14	phase	phase	NOUN
ap-1269	38	15	space	space	NOUN
ap-1269	38	16	γcl(t	γcl(t	NOUN
ap-1269	38	17	)	)	PUNCT
ap-1269	39	1	=	=	SYM
ap-1269	39	2	(	(	PUNCT
ap-1269	39	3	qcl(t	qcl(t	NOUN
ap-1269	39	4	)	)	PUNCT
ap-1269	39	5	,	,	PUNCT
ap-1269	39	6	pcl(t	pcl(t	PROPN
ap-1269	39	7	)	)	PUNCT
ap-1269	39	8	,	,	PUNCT
ap-1269	39	9	t	t	PROPN
ap-1269	39	10	)	)	PUNCT
ap-1269	39	11	which	which	PRON
ap-1269	39	12	connects	connect	VERB
ap-1269	39	13	these	these	DET
ap-1269	39	14	points	point	NOUN
ap-1269	39	15	(	(	PUNCT
ap-1269	39	16	locally	locally	ADV
ap-1269	39	17	this	this	DET
ap-1269	39	18	assumption	assumption	NOUN
ap-1269	39	19	is	be	AUX
ap-1269	39	20	always	always	ADV
ap-1269	39	21	satisfied	satisfied	ADJ
ap-1269	39	22	)	)	PUNCT
ap-1269	39	23	.	.	PUNCT
ap-1269	40	1	then	then	ADV
ap-1269	40	2	for	for	ADP
ap-1269	40	3	any	any	DET
ap-1269	40	4	curve	curve	NOUN
ap-1269	40	5	γ̃(t	γ̃(t	PROPN
ap-1269	40	6	)	)	PUNCT
ap-1269	40	7	=	=	PUNCT
ap-1269	40	8	(	(	PUNCT
ap-1269	40	9	q̃(t	q̃(t	PROPN
ap-1269	40	10	)	)	PUNCT
ap-1269	40	11	,	,	PUNCT
ap-1269	40	12	p̃(t	p̃(t	PROPN
ap-1269	40	13	)	)	PUNCT
ap-1269	40	14	,	,	PUNCT
ap-1269	40	15	t	t	PROPN
ap-1269	40	16	)	)	PUNCT
ap-1269	40	17	which	which	PRON
ap-1269	40	18	57	57	NUM
ap-1269	40	19	acta	acta	PROPN
ap-1269	40	20	polytechnica	polytechnica	PROPN
ap-1269	40	21	vol	vol	NOUN
ap-1269	40	22	.	.	PROPN
ap-1269	40	23	50	50	NUM
ap-1269	40	24	no	no	NOUN
ap-1269	40	25	.	.	PUNCT
ap-1269	41	1	5/2010	5/2010	PRON
ap-1269	41	2	enters	enter	VERB
ap-1269	41	3	the	the	DET
ap-1269	41	4	path	path	NOUN
ap-1269	41	5	integration	integration	NOUN
ap-1269	41	6	in	in	ADP
ap-1269	41	7	(	(	PUNCT
ap-1269	41	8	1	1	NUM
ap-1269	41	9	)	)	PUNCT
ap-1269	41	10	,	,	PUNCT
ap-1269	41	11	we	we	PRON
ap-1269	41	12	can	can	AUX
ap-1269	41	13	assign	assign	VERB
ap-1269	41	14	two	two	NUM
ap-1269	41	15	auxiliary	auxiliary	ADJ
ap-1269	41	16	curves	curve	NOUN
ap-1269	41	17	which	which	PRON
ap-1269	41	18	we	we	PRON
ap-1269	41	19	call	call	VERB
ap-1269	41	20	λ0(s	λ0(s	ADP
ap-1269	41	21	)	)	PUNCT
ap-1269	41	22	and	and	CCONJ
ap-1269	41	23	λ1(s	λ1(s	PROPN
ap-1269	41	24	)	)	PUNCT
ap-1269	41	25	.	.	PUNCT
ap-1269	42	1	they	they	PRON
ap-1269	42	2	are	be	AUX
ap-1269	42	3	parameterized	parameterized	ADJ
ap-1269	42	4	by	by	ADP
ap-1269	42	5	s	s	PROPN
ap-1269	42	6	∈	∈	PROPN
ap-1269	43	1	[	[	X
ap-1269	43	2	0	0	NUM
ap-1269	43	3	,	,	PUNCT
ap-1269	43	4	1	1	NUM
ap-1269	43	5	]	]	PUNCT
ap-1269	43	6	and	and	CCONJ
ap-1269	43	7	specified	specify	VERB
ap-1269	43	8	as	as	SCONJ
ap-1269	43	9	follows	follow	VERB
ap-1269	43	10	:	:	PUNCT
ap-1269	43	11	λ0(s	λ0(s	X
ap-1269	43	12	)	)	PUNCT
ap-1269	43	13	=	=	SYM
ap-1269	43	14	(	(	PUNCT
ap-1269	43	15	q0	q0	PROPN
ap-1269	43	16	,	,	PUNCT
ap-1269	43	17	π0(s	π0(s	PROPN
ap-1269	43	18	)	)	PUNCT
ap-1269	43	19	,	,	PUNCT
ap-1269	43	20	t0)where	t0)where	PROPN
ap-1269	43	21	π0(0	π0(0	PROPN
ap-1269	43	22	)	)	PUNCT
ap-1269	44	1	=	=	PUNCT
ap-1269	44	2	pcl(t0	pcl(t0	NOUN
ap-1269	44	3	)	)	PUNCT
ap-1269	44	4	,	,	PUNCT
ap-1269	44	5	π0(1	π0(1	NOUN
ap-1269	44	6	)	)	PUNCT
ap-1269	44	7	=	=	SYM
ap-1269	44	8	p̃(t0	p̃(t0	NOUN
ap-1269	44	9	)	)	PUNCT
ap-1269	44	10	,	,	PUNCT
ap-1269	44	11	λ1(s	λ1(s	NOUN
ap-1269	44	12	)	)	PUNCT
ap-1269	44	13	=	=	SYM
ap-1269	44	14	(	(	PUNCT
ap-1269	44	15	q1	q1	PROPN
ap-1269	44	16	,	,	PUNCT
ap-1269	44	17	π1(s	π1(s	PROPN
ap-1269	44	18	)	)	PUNCT
ap-1269	44	19	,	,	PUNCT
ap-1269	44	20	t1)where	t1)where	NOUN
ap-1269	44	21	π1(0	π1(0	PROPN
ap-1269	44	22	)	)	PUNCT
ap-1269	44	23	=	=	SYM
ap-1269	44	24	pcl(t1	pcl(t1	PROPN
ap-1269	44	25	)	)	PUNCT
ap-1269	44	26	,	,	PUNCT
ap-1269	44	27	π1(1	π1(1	ADJ
ap-1269	44	28	)	)	PUNCT
ap-1269	44	29	=	=	SYM
ap-1269	44	30	p̃(t1	p̃(t1	NOUN
ap-1269	44	31	)	)	PUNCT
ap-1269	44	32	.	.	PUNCT
ap-1269	45	1	let	let	VERB
ap-1269	45	2	us	we	PRON
ap-1269	45	3	emphasize	emphasize	VERB
ap-1269	45	4	that	that	SCONJ
ap-1269	45	5	neither	neither	CCONJ
ap-1269	45	6	λ0(s	λ0(	NOUN
ap-1269	45	7	)	)	PUNCT
ap-1269	45	8	nor	nor	CCONJ
ap-1269	45	9	λ1(s	λ1(	NOUN
ap-1269	45	10	)	)	PUNCT
ap-1269	45	11	varies	vary	VERB
ap-1269	45	12	with	with	ADP
ap-1269	45	13	respect	respect	NOUN
ap-1269	45	14	to	to	ADP
ap-1269	45	15	the	the	DET
ap-1269	45	16	q	q	NOUN
ap-1269	45	17	and	and	CCONJ
ap-1269	45	18	t	t	PROPN
ap-1269	45	19	coordinates	coordinate	NOUN
ap-1269	45	20	in	in	ADP
ap-1269	45	21	the	the	DET
ap-1269	45	22	extended	extended	ADJ
ap-1269	45	23	phase	phase	NOUN
ap-1269	45	24	space	space	NOUN
ap-1269	45	25	.	.	PUNCT
ap-1269	46	1	they	they	PRON
ap-1269	46	2	are	be	AUX
ap-1269	46	3	allowed	allow	VERB
ap-1269	46	4	to	to	PART
ap-1269	46	5	evolve	evolve	VERB
ap-1269	46	6	only	only	ADV
ap-1269	46	7	with	with	ADP
ap-1269	46	8	respect	respect	NOUN
ap-1269	46	9	to	to	ADP
ap-1269	46	10	the	the	DET
ap-1269	46	11	momentum	momentum	NOUN
ap-1269	46	12	variables	variable	NOUN
ap-1269	46	13	.	.	PUNCT
ap-1269	47	1	there	there	PRON
ap-1269	47	2	are	be	VERB
ap-1269	47	3	,	,	PUNCT
ap-1269	47	4	of	of	ADP
ap-1269	47	5	course	course	NOUN
ap-1269	47	6	,	,	PUNCT
ap-1269	47	7	infinitely	infinitely	ADV
ap-1269	47	8	many	many	ADJ
ap-1269	47	9	of	of	ADP
ap-1269	47	10	such	such	ADJ
ap-1269	47	11	curves	curve	NOUN
ap-1269	47	12	,	,	PUNCT
ap-1269	47	13	but	but	CCONJ
ap-1269	47	14	as	as	SCONJ
ap-1269	47	15	we	we	PRON
ap-1269	47	16	will	will	AUX
ap-1269	47	17	see	see	VERB
ap-1269	47	18	nothing	nothing	PRON
ap-1269	47	19	in	in	ADP
ap-1269	47	20	the	the	DET
ap-1269	47	21	theory	theory	NOUN
ap-1269	47	22	will	will	AUX
ap-1269	47	23	be	be	AUX
ap-1269	47	24	dependent	dependent	ADJ
ap-1269	47	25	on	on	ADP
ap-1269	47	26	a	a	DET
ap-1269	47	27	particular	particular	ADJ
ap-1269	47	28	choice	choice	NOUN
ap-1269	47	29	of	of	ADP
ap-1269	47	30	λ0(s	λ0(s	PROPN
ap-1269	47	31	)	)	PUNCT
ap-1269	47	32	and	and	CCONJ
ap-1269	47	33	λ1(s	λ1(s	PROPN
ap-1269	47	34	)	)	PUNCT
ap-1269	47	35	.	.	PUNCT
ap-1269	48	1	using	use	VERB
ap-1269	48	2	these	these	DET
ap-1269	48	3	curves	curve	NOUN
ap-1269	48	4	one	one	NUM
ap-1269	48	5	can	can	AUX
ap-1269	48	6	write:∫	write:∫	PROPN
ap-1269	48	7	γ̃	γ̃	PROPN
ap-1269	48	8	padq	padq	VERB
ap-1269	48	9	a	a	DET
ap-1269	48	10	−	−	NOUN
ap-1269	48	11	hdt	hdt	PROPN
ap-1269	48	12	=	=	SYM
ap-1269	48	13	∫	∫	PROPN
ap-1269	48	14	γcl	γcl	PROPN
ap-1269	48	15	padqa	padqa	VERB
ap-1269	48	16	−	−	PUNCT
ap-1269	48	17	hdt+	hdt+	NOUN
ap-1269	48	18	∮	∮	VERB
ap-1269	48	19	∂σ	∂σ	PROPN
ap-1269	49	1	padqa	padqa	NOUN
ap-1269	49	2	−	−	X
ap-1269	50	1	hdt	hdt	PROPN
ap-1269	50	2	,	,	PUNCT
ap-1269	50	3	(	(	PUNCT
ap-1269	50	4	3	3	X
ap-1269	50	5	)	)	PUNCT
ap-1269	50	6	where	where	SCONJ
ap-1269	50	7	∂σ	∂σ	PROPN
ap-1269	50	8	=	=	SYM
ap-1269	50	9	γ̃	γ̃	PROPN
ap-1269	50	10	−	−	PROPN
ap-1269	50	11	λ1	λ1	PROPN
ap-1269	50	12	−	−	PROPN
ap-1269	50	13	γcl	γcl	PROPN
ap-1269	50	14	+	+	CCONJ
ap-1269	50	15	λ0	λ0	NOUN
ap-1269	50	16	is	be	AUX
ap-1269	50	17	a	a	DET
ap-1269	50	18	contour	contour	NOUN
ap-1269	50	19	spanned	span	VERB
ap-1269	50	20	by	by	ADP
ap-1269	50	21	four	four	NUM
ap-1269	50	22	curves	curve	NOUN
ap-1269	50	23	γ̃(t	γ̃(t	PROPN
ap-1269	50	24	)	)	PUNCT
ap-1269	50	25	,	,	PUNCT
ap-1269	50	26	γcl(t	γcl(t	X
ap-1269	50	27	)	)	PUNCT
ap-1269	50	28	,	,	PUNCT
ap-1269	50	29	λ0(s	λ0(s	PROPN
ap-1269	50	30	)	)	PUNCT
ap-1269	50	31	,	,	PUNCT
ap-1269	50	32	λ1(s	λ1(s	AUX
ap-1269	50	33	)	)	PUNCT
ap-1269	50	34	counting	count	VERB
ap-1269	50	35	their	their	PRON
ap-1269	50	36	orientations	orientation	NOUN
ap-1269	50	37	.	.	PUNCT
ap-1269	51	1	the	the	DET
ap-1269	51	2	first	first	ADJ
ap-1269	51	3	integral	integral	NOUN
ap-1269	51	4	on	on	ADP
ap-1269	51	5	the	the	DET
ap-1269	51	6	right	right	NOUN
ap-1269	51	7	is	be	AUX
ap-1269	51	8	the	the	DET
ap-1269	51	9	classical	classical	ADJ
ap-1269	51	10	action	action	NOUN
ap-1269	51	11	scl(q1	scl(q1	NOUN
ap-1269	51	12	,	,	PUNCT
ap-1269	51	13	t1	t1	NOUN
ap-1269	51	14	|	|	ADV
ap-1269	51	15	q0	q0	NOUN
ap-1269	51	16	,	,	PUNCT
ap-1269	51	17	t0	t0	PROPN
ap-1269	51	18	)	)	PUNCT
ap-1269	51	19	.	.	PUNCT
ap-1269	52	1	while	while	SCONJ
ap-1269	52	2	the	the	DET
ap-1269	52	3	contour	contour	NOUN
ap-1269	52	4	integral	integral	ADJ
ap-1269	52	5	in	in	ADP
ap-1269	52	6	(	(	PUNCT
ap-1269	52	7	3	3	X
ap-1269	52	8	)	)	PUNCT
ap-1269	52	9	can	can	AUX
ap-1269	52	10	be	be	AUX
ap-1269	52	11	rearranged	rearrange	VERB
ap-1269	52	12	to	to	PART
ap-1269	52	13	represent	represent	VERB
ap-1269	52	14	a	a	DET
ap-1269	52	15	surface	surface	NOUN
ap-1269	52	16	integral:∮	integral:∮	PROPN
ap-1269	52	17	∂σ	∂σ	PROPN
ap-1269	53	1	padqa	padqa	NOUN
ap-1269	53	2	−	−	PROPN
ap-1269	54	1	hdt	hdt	PROPN
ap-1269	54	2	=	=	SYM
ap-1269	54	3	∫	∫	PROPN
ap-1269	54	4	σ	σ	PROPN
ap-1269	54	5	dpa	dpa	PROPN
ap-1269	54	6	∧	∧	PROPN
ap-1269	54	7	(	(	PUNCT
ap-1269	54	8	dqa	dqa	INTJ
ap-1269	54	9	−	−	X
ap-1269	54	10	∂h	∂h	PROPN
ap-1269	54	11	∂pa	∂pa	PROPN
ap-1269	54	12	dt	dt	NOUN
ap-1269	54	13	)	)	PUNCT
ap-1269	55	1	−	−	PROPN
ap-1269	56	1	∂h	∂h	PROPN
ap-1269	56	2	∂qa	∂qa	NOUN
ap-1269	56	3	dqa	dqa	VERB
ap-1269	56	4	∧	∧	NOUN
ap-1269	56	5	dt	dt	NOUN
ap-1269	57	1	=	=	NOUN
ap-1269	57	2	:	:	PUNCT
ap-1269	57	3	∫	∫	PROPN
ap-1269	57	4	σ	σ	PROPN
ap-1269	57	5	ω	ω	PROPN
ap-1269	57	6	.	.	PUNCT
ap-1269	58	1	(	(	PUNCT
ap-1269	58	2	4	4	X
ap-1269	58	3	)	)	PUNCT
ap-1269	58	4	surface	surface	NOUN
ap-1269	58	5	σ	σ	NOUN
ap-1269	58	6	spanning	span	VERB
ap-1269	58	7	the	the	DET
ap-1269	58	8	contour	contour	NOUN
ap-1269	58	9	∂σ	∂σ	PROPN
ap-1269	58	10	is	be	AUX
ap-1269	58	11	understood	understand	VERB
ap-1269	58	12	here	here	ADV
ap-1269	58	13	as	as	ADP
ap-1269	58	14	a	a	DET
ap-1269	58	15	map	map	NOUN
ap-1269	58	16	from	from	ADP
ap-1269	58	17	the	the	DET
ap-1269	58	18	parametric	parametric	ADJ
ap-1269	58	19	space	space	NOUN
ap-1269	58	20	(	(	PUNCT
ap-1269	58	21	t	t	PROPN
ap-1269	58	22	,	,	PUNCT
ap-1269	58	23	s	s	PART
ap-1269	58	24	)	)	PUNCT
ap-1269	58	25	∈	∈	PROPN
ap-1269	58	26	[	[	X
ap-1269	58	27	t0	t0	NOUN
ap-1269	58	28	,	,	PUNCT
ap-1269	58	29	t1]×	t1]×	ADJ
ap-1269	58	30	[	[	X
ap-1269	58	31	0	0	NUM
ap-1269	58	32	,	,	PUNCT
ap-1269	58	33	1	1	NUM
ap-1269	58	34	]	]	PUNCT
ap-1269	58	35	to	to	ADP
ap-1269	58	36	the	the	DET
ap-1269	58	37	extended	extended	ADJ
ap-1269	58	38	phase	phase	NOUN
ap-1269	58	39	space	space	NOUN
ap-1269	58	40	,	,	PUNCT
ap-1269	58	41	i.e.	i.e.	X
ap-1269	58	42	σ	σ	NOUN
ap-1269	58	43	:	:	PUNCT
ap-1269	58	44	(	(	PUNCT
ap-1269	58	45	t	t	PROPN
ap-1269	58	46	,	,	PUNCT
ap-1269	58	47	s	s	NOUN
ap-1269	58	48	)	)	PUNCT
ap-1269	58	49	�	�	PROPN
ap-1269	58	50	→	→	SYM
ap-1269	58	51	(	(	PUNCT
ap-1269	58	52	qa(t	qa(t	NUM
ap-1269	58	53	,	,	PUNCT
ap-1269	58	54	s	s	PART
ap-1269	58	55	)	)	PUNCT
ap-1269	58	56	,	,	PUNCT
ap-1269	58	57	pa(t	pa(t	NOUN
ap-1269	58	58	,	,	PUNCT
ap-1269	58	59	s	s	PART
ap-1269	58	60	)	)	PUNCT
ap-1269	58	61	,	,	PUNCT
ap-1269	58	62	t(t	t(t	NOUN
ap-1269	58	63	,	,	PUNCT
ap-1269	58	64	s	s	NOUN
ap-1269	58	65	)	)	PUNCT
ap-1269	58	66	=	=	SYM
ap-1269	58	67	t	t	PROPN
ap-1269	58	68	)	)	PUNCT
ap-1269	58	69	.	.	PUNCT
ap-1269	59	1	partial	partial	ADJ
ap-1269	59	2	derivatives	derivative	NOUN
ap-1269	59	3	of	of	ADP
ap-1269	59	4	the	the	DET
ap-1269	59	5	initial	initial	ADJ
ap-1269	59	6	hamiltonian	hamiltonian	ADJ
ap-1269	59	7	function	function	NOUN
ap-1269	59	8	can	can	AUX
ap-1269	59	9	be	be	AUX
ap-1269	59	10	substituted	substitute	VERB
ap-1269	59	11	using	use	VERB
ap-1269	59	12	the	the	DET
ap-1269	59	13	velocity	velocity	NOUN
ap-1269	59	14	-	-	PUNCT
ap-1269	59	15	momentum	momentum	NOUN
ap-1269	59	16	relations	relation	NOUN
ap-1269	59	17	and	and	CCONJ
ap-1269	59	18	classical	classical	ADJ
ap-1269	59	19	equations	equation	NOUN
ap-1269	59	20	of	of	ADP
ap-1269	59	21	motion	motion	NOUN
ap-1269	59	22	:	:	PUNCT
ap-1269	60	1	∂h	∂h	PROPN
ap-1269	60	2	∂pa	∂pa	PROPN
ap-1269	60	3	=	=	SYM
ap-1269	60	4	t	t	PROPN
ap-1269	60	5	abpb	abpb	PROPN
ap-1269	60	6	(	(	PUNCT
ap-1269	60	7	=	=	SYM
ap-1269	60	8	q̇a	q̇a	PROPN
ap-1269	60	9	)	)	PUNCT
ap-1269	60	10	and	and	CCONJ
ap-1269	60	11	∂h	∂h	VERB
ap-1269	61	1	∂qa	∂qa	NOUN
ap-1269	61	2	=	=	SYM
ap-1269	61	3	−fa	−fa	X
ap-1269	61	4	(	(	PUNCT
ap-1269	61	5	=	=	PUNCT
ap-1269	61	6	−ṗa	−ṗa	NOUN
ap-1269	61	7	)	)	PUNCT
ap-1269	61	8	.	.	PUNCT
ap-1269	62	1	here	here	ADV
ap-1269	62	2	we	we	PRON
ap-1269	62	3	consider	consider	VERB
ap-1269	62	4	the	the	DET
ap-1269	62	5	physically	physically	ADV
ap-1269	62	6	mostly	mostly	ADV
ap-1269	62	7	relevant	relevant	ADJ
ap-1269	62	8	situation	situation	NOUN
ap-1269	62	9	only	only	ADV
ap-1269	62	10	.	.	PUNCT
ap-1269	63	1	in	in	ADP
ap-1269	63	2	this	this	DET
ap-1269	63	3	case	case	NOUN
ap-1269	63	4	the	the	DET
ap-1269	63	5	velocities	velocity	NOUN
ap-1269	63	6	and	and	CCONJ
ap-1269	63	7	momenta	momenta	NOUN
ap-1269	63	8	become	become	VERB
ap-1269	63	9	related	relate	VERB
ap-1269	63	10	linearly	linearly	ADV
ap-1269	63	11	by	by	ADP
ap-1269	63	12	the	the	DET
ap-1269	63	13	metric	metric	ADJ
ap-1269	63	14	tensor	tensor	NOUN
ap-1269	63	15	tab(q	tab(q	PROPN
ap-1269	63	16	)	)	PUNCT
ap-1269	63	17	(	(	PUNCT
ap-1269	63	18	and	and	CCONJ
ap-1269	63	19	its	its	PRON
ap-1269	63	20	inverse	inverse	NOUN
ap-1269	63	21	)	)	PUNCT
ap-1269	63	22	defined	define	VERB
ap-1269	63	23	by	by	ADP
ap-1269	63	24	the	the	DET
ap-1269	63	25	kinetic	kinetic	ADJ
ap-1269	63	26	energy	energy	NOUN
ap-1269	63	27	t	t	NOUN
ap-1269	63	28	=	=	SYM
ap-1269	63	29	1	1	NUM
ap-1269	63	30	2	2	NUM
ap-1269	63	31	tabq̇	tabq̇	VERB
ap-1269	63	32	aq̇b	aq̇b	X
ap-1269	63	33	=	=	SYM
ap-1269	63	34	1	1	NUM
ap-1269	63	35	2	2	NUM
ap-1269	63	36	t	t	NOUN
ap-1269	63	37	abpapb	abpapb	NOUN
ap-1269	63	38	of	of	ADP
ap-1269	63	39	the	the	DET
ap-1269	63	40	system	system	NOUN
ap-1269	63	41	,	,	PUNCT
ap-1269	63	42	then	then	ADV
ap-1269	63	43	ω	ω	X
ap-1269	63	44	=	=	PUNCT
ap-1269	63	45	dpa	dpa	VERB
ap-1269	63	46	∧	∧	PROPN
ap-1269	63	47	dqa	dqa	NOUN
ap-1269	64	1	−	−	PROPN
ap-1269	65	1	(	(	PUNCT
ap-1269	65	2	t	t	PROPN
ap-1269	65	3	abpadpb	abpadpb	PROPN
ap-1269	65	4	−	−	PROPN
ap-1269	66	1	fadqa	fadqa	NOUN
ap-1269	67	1	)	)	PUNCT
ap-1269	68	1	∧	∧	NOUN
ap-1269	68	2	dt	dt	NOUN
ap-1269	68	3	.	.	PUNCT
ap-1269	69	1	(	(	PUNCT
ap-1269	69	2	5	5	X
ap-1269	69	3	)	)	PUNCT
ap-1269	69	4	this	this	DET
ap-1269	69	5	object	object	NOUN
ap-1269	69	6	represents	represent	VERB
ap-1269	69	7	a	a	DET
ap-1269	69	8	canonical	canonical	ADJ
ap-1269	69	9	two	two	NUM
ap-1269	69	10	-	-	PUNCT
ap-1269	69	11	form	form	NOUN
ap-1269	69	12	in	in	ADP
ap-1269	69	13	the	the	DET
ap-1269	69	14	extended	extended	ADJ
ap-1269	69	15	phase	phase	NOUN
ap-1269	69	16	space	space	NOUN
ap-1269	69	17	.	.	PUNCT
ap-1269	70	1	it	it	PRON
ap-1269	70	2	is	be	AUX
ap-1269	70	3	a	a	DET
ap-1269	70	4	straightforward	straightforward	ADJ
ap-1269	70	5	generalization	generalization	NOUN
ap-1269	70	6	of	of	ADP
ap-1269	70	7	the	the	DET
ap-1269	70	8	standard	standard	NOUN
ap-1269	70	9	closed	close	VERB
ap-1269	70	10	two	two	NUM
ap-1269	70	11	-	-	PUNCT
ap-1269	70	12	form	form	NOUN
ap-1269	70	13	dθ	dθ	NOUN
ap-1269	70	14	=	=	PROPN
ap-1269	70	15	dp	dp	NOUN
ap-1269	70	16	∧	∧	NOUN
ap-1269	70	17	dq	dq	PROPN
ap-1269	70	18	−	−	PROPN
ap-1269	71	1	dh	dh	NOUN
ap-1269	71	2	∧	∧	PROPN
ap-1269	71	3	dt	dt	NOUN
ap-1269	71	4	to	to	ADP
ap-1269	71	5	the	the	DET
ap-1269	71	6	case	case	NOUN
ap-1269	71	7	when	when	SCONJ
ap-1269	71	8	the	the	DET
ap-1269	71	9	forces	force	NOUN
ap-1269	71	10	are	be	AUX
ap-1269	71	11	not	not	PART
ap-1269	71	12	potential	potential	ADJ
ap-1269	71	13	-	-	PUNCT
ap-1269	71	14	generated	generate	VERB
ap-1269	71	15	.	.	PUNCT
ap-1269	72	1	it	it	PRON
ap-1269	72	2	is	be	AUX
ap-1269	72	3	clear	clear	ADJ
ap-1269	72	4	that	that	SCONJ
ap-1269	72	5	for	for	ADP
ap-1269	72	6	a	a	DET
ap-1269	72	7	given	give	VERB
ap-1269	72	8	pair	pair	NOUN
ap-1269	72	9	of	of	ADP
ap-1269	72	10	trajectories	trajectory	NOUN
ap-1269	72	11	(	(	PUNCT
ap-1269	72	12	γ̃	γ̃	PROPN
ap-1269	72	13	,	,	PUNCT
ap-1269	72	14	γcl	γcl	PROPN
ap-1269	72	15	)	)	PUNCT
ap-1269	72	16	there	there	PRON
ap-1269	72	17	exists	exist	VERB
ap-1269	72	18	infinitely	infinitely	ADV
ap-1269	72	19	many	many	ADJ
ap-1269	72	20	σ	σ	NOUN
ap-1269	72	21	surfaces	surface	NOUN
ap-1269	72	22	.	.	PUNCT
ap-1269	73	1	they	they	PRON
ap-1269	73	2	form	form	VERB
ap-1269	73	3	a	a	DET
ap-1269	73	4	set	set	NOUN
ap-1269	73	5	which	which	PRON
ap-1269	73	6	we	we	PRON
ap-1269	73	7	call	call	VERB
ap-1269	73	8	uγ̃	uγ̃	PUNCT
ap-1269	73	9	.	.	PUNCT
ap-1269	74	1	since	since	SCONJ
ap-1269	74	2	the	the	DET
ap-1269	74	3	surface	surface	NOUN
ap-1269	74	4	integral	integral	ADJ
ap-1269	74	5	∫	∫	PROPN
ap-1269	74	6	σ	σ	PROPN
ap-1269	74	7	ω	ω	PROPN
ap-1269	74	8	is	be	AUX
ap-1269	74	9	only	only	ADV
ap-1269	74	10	boundary	boundary	ADJ
ap-1269	74	11	dependent	dependent	ADJ
ap-1269	74	12	and	and	CCONJ
ap-1269	74	13	formulas	formula	NOUN
ap-1269	74	14	(	(	PUNCT
ap-1269	74	15	3	3	NUM
ap-1269	74	16	)	)	PUNCT
ap-1269	74	17	and	and	CCONJ
ap-1269	74	18	(	(	PUNCT
ap-1269	74	19	4	4	X
ap-1269	74	20	)	)	PUNCT
ap-1269	74	21	are	be	AUX
ap-1269	74	22	satisfied	satisfied	ADJ
ap-1269	74	23	,	,	PUNCT
ap-1269	74	24	we	we	PRON
ap-1269	74	25	can	can	AUX
ap-1269	74	26	write	write	VERB
ap-1269	74	27	:	:	PUNCT
ap-1269	74	28	exp	exp	NOUN
ap-1269	74	29	{	{	PUNCT
ap-1269	74	30	i	i	PRON
ap-1269	74	31	h̄	h̄	VERB
ap-1269	74	32	∫	∫	PROPN
ap-1269	74	33	γ̃	γ̃	PROPN
ap-1269	74	34	padq	padq	VERB
ap-1269	74	35	a	a	DET
ap-1269	74	36	−	−	NOUN
ap-1269	74	37	hdt	hdt	NOUN
ap-1269	74	38	}	}	PUNCT
ap-1269	74	39	=	=	PUNCT
ap-1269	75	1	e	e	X
ap-1269	75	2	i	i	PRON
ap-1269	75	3	h̄scl	h̄scl	X
ap-1269	75	4	∞γ̃	∞γ̃	ADV
ap-1269	75	5	∫	∫	PROPN
ap-1269	75	6	uγ̃	uγ̃	PUNCT
ap-1269	75	7	[	[	X
ap-1269	75	8	dς	dς	X
ap-1269	75	9	]	]	X
ap-1269	75	10	exp	exp	NOUN
ap-1269	75	11	{	{	PUNCT
ap-1269	75	12	i	i	PRON
ap-1269	75	13	h̄	h̄	X
ap-1269	75	14	∫	∫	PROPN
ap-1269	75	15	σ	σ	PROPN
ap-1269	75	16	ω	ω	PROPN
ap-1269	75	17	}	}	PUNCT
ap-1269	75	18	.	.	PUNCT
ap-1269	76	1	here	here	ADV
ap-1269	76	2	∞γ̃	∞γ̃	PROPN
ap-1269	76	3	stands	stand	VERB
ap-1269	76	4	for	for	ADP
ap-1269	76	5	the	the	DET
ap-1269	76	6	number	number	NOUN
ap-1269	76	7	of	of	ADP
ap-1269	76	8	elements	element	NOUN
ap-1269	76	9	pertaining	pertain	VERB
ap-1269	76	10	to	to	ADP
ap-1269	76	11	the	the	DET
ap-1269	76	12	corresponding	corresponding	ADJ
ap-1269	76	13	stringy	stringy	ADJ
ap-1269	76	14	set	set	NOUN
ap-1269	76	15	uγ̃	uγ̃	PUNCT
ap-1269	76	16	.	.	PUNCT
ap-1269	77	1	assuming	assume	VERB
ap-1269	77	2	no	no	DET
ap-1269	77	3	topological	topological	ADJ
ap-1269	77	4	obstructions	obstruction	NOUN
ap-1269	77	5	from	from	ADP
ap-1269	77	6	the	the	DET
ap-1269	77	7	side	side	NOUN
ap-1269	77	8	of	of	ADP
ap-1269	77	9	the	the	DET
ap-1269	77	10	extended	extended	ADJ
ap-1269	77	11	phase	phase	NOUN
ap-1269	77	12	space,∞γ̃	space,∞γ̃	ADV
ap-1269	77	13	becomes	become	VERB
ap-1269	77	14	an	an	DET
ap-1269	77	15	infinite	infinite	ADJ
ap-1269	77	16	constant	constant	ADJ
ap-1269	77	17	independent	independent	NOUN
ap-1269	77	18	of	of	ADP
ap-1269	77	19	γ̃.	γ̃.	PROPN
ap-1269	77	20	taking	take	VERB
ap-1269	77	21	all	all	PRON
ap-1269	77	22	of	of	ADP
ap-1269	77	23	this	this	PRON
ap-1269	77	24	into	into	ADP
ap-1269	77	25	account	account	NOUN
ap-1269	77	26	we	we	PRON
ap-1269	77	27	can	can	AUX
ap-1269	77	28	rewrite	rewrite	VERB
ap-1269	77	29	(	(	PUNCT
ap-1269	77	30	1	1	NUM
ap-1269	77	31	)	)	PUNCT
ap-1269	77	32	as	as	SCONJ
ap-1269	77	33	follows	follow	VERB
ap-1269	77	34	:	:	PUNCT
ap-1269	77	35	a(q1	a(q1	NOUN
ap-1269	77	36	,	,	PUNCT
ap-1269	77	37	t1	t1	PROPN
ap-1269	78	1	|	|	ADV
ap-1269	78	2	q0	q0	NOUN
ap-1269	78	3	,	,	PUNCT
ap-1269	78	4	t0	t0	PROPN
ap-1269	78	5	)	)	PUNCT
ap-1269	79	1	∝	∝	PROPN
ap-1269	79	2	e	e	NOUN
ap-1269	80	1	i	i	PRON
ap-1269	80	2	h̄scl	h̄scl	NOUN
ap-1269	80	3	∫	∫	PROPN
ap-1269	80	4	u	u	PROPN
ap-1269	80	5	[	[	X
ap-1269	80	6	dς	dς	X
ap-1269	80	7	]	]	X
ap-1269	80	8	exp	exp	NOUN
ap-1269	80	9	{	{	PUNCT
ap-1269	80	10	i	i	PRON
ap-1269	80	11	h̄	h̄	X
ap-1269	80	12	∫	∫	PROPN
ap-1269	80	13	σ	σ	PROPN
ap-1269	80	14	ω	ω	PROPN
ap-1269	80	15	}	}	PUNCT
ap-1269	80	16	.	.	PUNCT
ap-1269	81	1	(	(	PUNCT
ap-1269	81	2	6	6	NUM
ap-1269	81	3	)	)	PUNCT
ap-1269	81	4	in	in	ADP
ap-1269	81	5	this	this	DET
ap-1269	81	6	formula	formula	NOUN
ap-1269	81	7	the	the	DET
ap-1269	81	8	undetermined	undetermined	ADJ
ap-1269	81	9	normalization	normalization	NOUN
ap-1269	81	10	constant	constant	ADJ
ap-1269	81	11	∞	∞	PROPN
ap-1269	81	12	was	be	AUX
ap-1269	81	13	included	include	VERB
ap-1269	81	14	into	into	ADP
ap-1269	81	15	the	the	DET
ap-1269	81	16	integration	integration	NOUN
ap-1269	81	17	measure	measure	NOUN
ap-1269	81	18	[	[	X
ap-1269	81	19	dς	dς	X
ap-1269	81	20	]	]	X
ap-1269	81	21	and	and	CCONJ
ap-1269	81	22	the	the	DET
ap-1269	81	23	path	path	NOUN
ap-1269	81	24	integral	integral	ADJ
ap-1269	81	25	over	over	ADP
ap-1269	81	26	γ̃	γ̃	PROPN
ap-1269	81	27	’s	’s	PART
ap-1269	81	28	was	be	AUX
ap-1269	81	29	converted	convert	VERB
ap-1269	81	30	to	to	ADP
ap-1269	81	31	the	the	DET
ap-1269	81	32	surface	surface	NOUN
ap-1269	81	33	functional	functional	ADJ
ap-1269	81	34	integral	integral	ADJ
ap-1269	81	35	as	as	SCONJ
ap-1269	81	36	was	be	AUX
ap-1269	81	37	promised:∫	promised:∫	ADV
ap-1269	81	38	[	[	X
ap-1269	81	39	dγ̃	dγ̃	X
ap-1269	81	40	]	]	X
ap-1269	81	41	∫	∫	PROPN
ap-1269	81	42	uγ̃	uγ̃	PUNCT
ap-1269	81	43	[	[	X
ap-1269	81	44	dς	dς	X
ap-1269	81	45	]	]	X
ap-1269	81	46	.	.	PUNCT
ap-1269	81	47	.	.	PUNCT
ap-1269	81	48	.	.	PUNCT
ap-1269	82	1	=	=	PUNCT
ap-1269	82	2	∫	∫	PROPN
ap-1269	83	1	⋃	⋃	PROPN
ap-1269	83	2	γ̃	γ̃	PROPN
ap-1269	83	3	uγ̃	uγ̃	PUNCT
ap-1269	83	4	[	[	X
ap-1269	83	5	dς	dς	X
ap-1269	83	6	]	]	X
ap-1269	83	7	.	.	PUNCT
ap-1269	83	8	.	.	PUNCT
ap-1269	83	9	.	.	PUNCT
ap-1269	84	1	=	=	PRON
ap-1269	84	2	:	:	PUNCT
ap-1269	84	3	∫	∫	PROPN
ap-1269	84	4	u	u	PROPN
ap-1269	84	5	[	[	X
ap-1269	84	6	dς	dς	X
ap-1269	84	7	]	]	X
ap-1269	84	8	.	.	PUNCT
ap-1269	84	9	.	.	PUNCT
ap-1269	84	10	.	.	PUNCT
ap-1269	85	1	the	the	DET
ap-1269	85	2	set	set	NOUN
ap-1269	85	3	u	u	NOUN
ap-1269	85	4	=	=	PUNCT
ap-1269	85	5	⋃	⋃	PROPN
ap-1269	85	6	γ̃	γ̃	PROPN
ap-1269	85	7	uγ̃	uγ̃	PUNCT
ap-1269	85	8	over	over	ADP
ap-1269	85	9	which	which	PRON
ap-1269	85	10	the	the	DET
ap-1269	85	11	functional	functional	ADJ
ap-1269	85	12	integration	integration	NOUN
ap-1269	85	13	is	be	AUX
ap-1269	85	14	carried	carry	VERB
ap-1269	85	15	out	out	ADP
ap-1269	85	16	contains	contain	VERB
ap-1269	85	17	all	all	DET
ap-1269	85	18	extended	extended	ADJ
ap-1269	85	19	phase	phase	NOUN
ap-1269	85	20	space	space	NOUN
ap-1269	85	21	strings	string	NOUN
ap-1269	85	22	which	which	PRON
ap-1269	85	23	are	be	AUX
ap-1269	85	24	anchored	anchor	VERB
ap-1269	85	25	to	to	ADP
ap-1269	85	26	the	the	DET
ap-1269	85	27	given	give	VERB
ap-1269	85	28	classical	classical	ADJ
ap-1269	85	29	trajectory	trajectory	NOUN
ap-1269	85	30	γcl	γcl	PROPN
ap-1269	85	31	.	.	PUNCT
ap-1269	86	1	to	to	PART
ap-1269	86	2	eliminate	eliminate	VERB
ap-1269	86	3	hamiltonian	hamiltonian	ADJ
ap-1269	86	4	h	h	NOUN
ap-1269	86	5	completely	completely	ADV
ap-1269	86	6	we	we	PRON
ap-1269	86	7	need	need	VERB
ap-1269	86	8	to	to	PART
ap-1269	86	9	express	express	VERB
ap-1269	86	10	scl(q1	scl(q1	NOUN
ap-1269	86	11	,	,	PUNCT
ap-1269	86	12	t1	t1	NOUN
ap-1269	86	13	|	|	ADV
ap-1269	86	14	q0	q0	NOUN
ap-1269	86	15	,	,	PUNCT
ap-1269	86	16	t0	t0	PROPN
ap-1269	86	17	)	)	PUNCT
ap-1269	86	18	in	in	ADP
ap-1269	86	19	terms	term	NOUN
ap-1269	86	20	of	of	ADP
ap-1269	86	21	the	the	DET
ap-1269	86	22	force	force	NOUN
ap-1269	86	23	field	field	NOUN
ap-1269	86	24	.	.	PUNCT
ap-1269	87	1	such	such	DET
ap-1269	87	2	a	a	DET
ap-1269	87	3	quantity	quantity	NOUN
ap-1269	87	4	may	may	AUX
ap-1269	87	5	not	not	PART
ap-1269	87	6	exist	exist	VERB
ap-1269	87	7	in	in	ADP
ap-1269	87	8	general	general	ADJ
ap-1269	87	9	,	,	PUNCT
ap-1269	87	10	however	however	ADV
ap-1269	87	11	we	we	PRON
ap-1269	87	12	will	will	AUX
ap-1269	87	13	see	see	VERB
ap-1269	87	14	that	that	SCONJ
ap-1269	87	15	in	in	ADP
ap-1269	87	16	special	special	ADJ
ap-1269	87	17	cases	case	NOUN
ap-1269	87	18	one	one	PRON
ap-1269	87	19	can	can	AUX
ap-1269	87	20	recover	recover	VERB
ap-1269	87	21	an	an	DET
ap-1269	87	22	appropriate	appropriate	ADJ
ap-1269	87	23	analog	analog	NOUN
ap-1269	87	24	of	of	ADP
ap-1269	87	25	scl(q1	scl(q1	NOUN
ap-1269	87	26	,	,	PUNCT
ap-1269	87	27	t1	t1	NOUN
ap-1269	87	28	|	|	ADV
ap-1269	87	29	q0	q0	NOUN
ap-1269	87	30	,	,	PUNCT
ap-1269	87	31	t0	t0	PROPN
ap-1269	87	32	)	)	PUNCT
ap-1269	87	33	requiring	require	VERB
ap-1269	87	34	a	a	DET
ap-1269	87	35	certain	certain	ADJ
ap-1269	87	36	behavior	behavior	NOUN
ap-1269	87	37	of	of	ADP
ap-1269	87	38	a(q1	a(q1	NOUN
ap-1269	87	39	,	,	PUNCT
ap-1269	87	40	t1	t1	PROPN
ap-1269	87	41	|	|	ADV
ap-1269	87	42	q0	q0	NOUN
ap-1269	87	43	,	,	PUNCT
ap-1269	87	44	t0	t0	PROPN
ap-1269	87	45	)	)	PUNCT
ap-1269	88	1	∝	∝	PROPN
ap-1269	88	2	e	e	NOUN
ap-1269	89	1	i	i	PRON
ap-1269	89	2	h̄scl	h̄scl	NOUN
ap-1269	89	3	∫	∫	PROPN
ap-1269	89	4	u	u	PROPN
ap-1269	89	5	[	[	X
ap-1269	89	6	dς	dς	X
ap-1269	89	7	]	]	X
ap-1269	89	8	exp	exp	NOUN
ap-1269	89	9	{	{	PUNCT
ap-1269	89	10	i	i	PRON
ap-1269	89	11	h̄	h̄	X
ap-1269	89	12	∫	∫	PROPN
ap-1269	89	13	σ	σ	PROPN
ap-1269	89	14	ω	ω	PROPN
ap-1269	89	15	}	}	PUNCT
ap-1269	89	16	.	.	PUNCT
ap-1269	90	1	in	in	ADP
ap-1269	90	2	the	the	DET
ap-1269	90	3	limit	limit	NOUN
ap-1269	90	4	h̄	h̄	X
ap-1269	90	5	→	→	SYM
ap-1269	90	6	0	0	NUM
ap-1269	90	7	.	.	X
ap-1269	90	8	58	58	NUM
ap-1269	90	9	acta	acta	PROPN
ap-1269	90	10	polytechnica	polytechnica	PROPN
ap-1269	90	11	vol	vol	NOUN
ap-1269	90	12	.	.	PROPN
ap-1269	90	13	50	50	NUM
ap-1269	90	14	no	no	NOUN
ap-1269	90	15	.	.	PUNCT
ap-1269	91	1	5/2010	5/2010	NUM
ap-1269	91	2	3	3	NUM
ap-1269	91	3	functionality	functionality	NOUN
ap-1269	91	4	a	a	DET
ap-1269	91	5	major	major	ADJ
ap-1269	91	6	advantage	advantage	NOUN
ap-1269	91	7	of	of	ADP
ap-1269	91	8	the	the	DET
ap-1269	91	9	surface	surface	NOUN
ap-1269	91	10	functional	functional	ADJ
ap-1269	91	11	integral	integral	ADJ
ap-1269	91	12	formulation	formulation	NOUN
ap-1269	91	13	rests	rest	VERB
ap-1269	91	14	in	in	ADP
ap-1269	91	15	its	its	PRON
ap-1269	91	16	explicit	explicit	ADJ
ap-1269	91	17	independence	independence	NOUN
ap-1269	91	18	on	on	ADP
ap-1269	91	19	hamiltonian	hamiltonian	ADJ
ap-1269	91	20	h	h	NOUN
ap-1269	91	21	.	.	PUNCT
ap-1269	92	1	from	from	ADP
ap-1269	92	2	the	the	DET
ap-1269	92	3	point	point	NOUN
ap-1269	92	4	of	of	ADP
ap-1269	92	5	view	view	NOUN
ap-1269	92	6	of	of	ADP
ap-1269	92	7	classical	classical	ADJ
ap-1269	92	8	physics	physic	NOUN
ap-1269	92	9	,	,	PUNCT
ap-1269	92	10	dynamical	dynamical	ADJ
ap-1269	92	11	equations	equation	NOUN
ap-1269	92	12	and	and	CCONJ
ap-1269	92	13	the	the	DET
ap-1269	92	14	force	force	NOUN
ap-1269	92	15	fields	field	NOUN
ap-1269	92	16	entering	enter	VERB
ap-1269	92	17	them	they	PRON
ap-1269	92	18	seem	seem	VERB
ap-1269	92	19	to	to	PART
ap-1269	92	20	be	be	AUX
ap-1269	92	21	more	more	ADV
ap-1269	92	22	fundamental	fundamental	ADJ
ap-1269	92	23	than	than	ADP
ap-1269	92	24	the	the	DET
ap-1269	92	25	hamiltonian	hamiltonian	ADJ
ap-1269	92	26	and/or	and/or	CCONJ
ap-1269	92	27	lagrangian	lagrangian	ADJ
ap-1269	92	28	function	function	NOUN
ap-1269	92	29	,	,	PUNCT
ap-1269	92	30	which	which	PRON
ap-1269	92	31	provide	provide	VERB
ap-1269	92	32	these	these	DET
ap-1269	92	33	equations	equation	NOUN
ap-1269	92	34	in	in	ADP
ap-1269	92	35	a	a	DET
ap-1269	92	36	relatively	relatively	ADV
ap-1269	92	37	compact	compact	ADJ
ap-1269	92	38	but	but	CCONJ
ap-1269	92	39	ambiguous	ambiguous	ADJ
ap-1269	92	40	way	way	NOUN
ap-1269	92	41	,	,	PUNCT
ap-1269	92	42	see	see	VERB
ap-1269	92	43	[	[	X
ap-1269	92	44	3	3	NUM
ap-1269	92	45	]	]	PUNCT
ap-1269	92	46	.	.	PUNCT
ap-1269	93	1	therefore	therefore	ADV
ap-1269	93	2	from	from	ADP
ap-1269	93	3	the	the	DET
ap-1269	93	4	conceptual	conceptual	ADJ
ap-1269	93	5	point	point	NOUN
ap-1269	93	6	of	of	ADP
ap-1269	93	7	view	view	NOUN
ap-1269	93	8	,	,	PUNCT
ap-1269	93	9	formula	formula	NOUN
ap-1269	93	10	(	(	PUNCT
ap-1269	93	11	6	6	NUM
ap-1269	93	12	)	)	PUNCT
ap-1269	93	13	gives	give	VERB
ap-1269	93	14	us	we	PRON
ap-1269	93	15	transition	transition	NOUN
ap-1269	93	16	probability	probability	NOUN
ap-1269	93	17	amplitude	amplitude	NOUN
ap-1269	93	18	from	from	ADP
ap-1269	93	19	a	a	DET
ap-1269	93	20	different	different	ADJ
ap-1269	93	21	and	and	CCONJ
ap-1269	93	22	hopefully	hopefully	ADV
ap-1269	93	23	new	new	ADJ
ap-1269	93	24	perspective	perspective	NOUN
ap-1269	93	25	.	.	PUNCT
ap-1269	94	1	it	it	PRON
ap-1269	94	2	is	be	AUX
ap-1269	94	3	clear	clear	ADJ
ap-1269	94	4	that	that	SCONJ
ap-1269	94	5	for	for	ADP
ap-1269	94	6	the	the	DET
ap-1269	94	7	potential	potential	ADJ
ap-1269	94	8	generated	generate	VERB
ap-1269	94	9	forces	force	NOUN
ap-1269	94	10	the	the	DET
ap-1269	94	11	surface	surface	NOUN
ap-1269	94	12	functional	functional	ADJ
ap-1269	94	13	integral	integral	ADJ
ap-1269	94	14	formula	formula	NOUN
ap-1269	94	15	(	(	PUNCT
ap-1269	94	16	6	6	NUM
ap-1269	94	17	)	)	PUNCT
ap-1269	94	18	gives	give	VERB
ap-1269	94	19	nothing	nothing	PRON
ap-1269	94	20	new	new	ADJ
ap-1269	94	21	compared	compare	VERB
ap-1269	94	22	to	to	ADP
ap-1269	94	23	(	(	PUNCT
ap-1269	94	24	1	1	NUM
ap-1269	94	25	)	)	PUNCT
ap-1269	94	26	,	,	PUNCT
ap-1269	94	27	since	since	SCONJ
ap-1269	94	28	in	in	ADP
ap-1269	94	29	this	this	DET
ap-1269	94	30	case	case	NOUN
ap-1269	94	31	ω	ω	NOUN
ap-1269	94	32	is	be	AUX
ap-1269	94	33	closed	close	VERB
ap-1269	94	34	and	and	CCONJ
ap-1269	94	35	can	can	AUX
ap-1269	94	36	be	be	AUX
ap-1269	94	37	represented	represent	VERB
ap-1269	94	38	as	as	ADP
ap-1269	94	39	ω	ω	NOUN
ap-1269	94	40	=	=	NOUN
ap-1269	94	41	d(padq	d(padq	NOUN
ap-1269	94	42	a	a	DET
ap-1269	94	43	−	−	PROPN
ap-1269	94	44	hdt	hdt	PROPN
ap-1269	94	45	)	)	PUNCT
ap-1269	94	46	.	.	PUNCT
ap-1269	95	1	there	there	PRON
ap-1269	95	2	are	be	VERB
ap-1269	95	3	,	,	PUNCT
ap-1269	95	4	of	of	ADP
ap-1269	95	5	course	course	NOUN
ap-1269	95	6	,	,	PUNCT
ap-1269	95	7	some	some	DET
ap-1269	95	8	hidden	hidden	ADJ
ap-1269	95	9	subtleties	subtlety	NOUN
ap-1269	95	10	which	which	PRON
ap-1269	95	11	we	we	PRON
ap-1269	95	12	pass	pass	VERB
ap-1269	95	13	over	over	ADP
ap-1269	95	14	either	either	CCONJ
ap-1269	95	15	quickly	quickly	ADV
ap-1269	95	16	or	or	CCONJ
ap-1269	95	17	in	in	ADP
ap-1269	95	18	silence	silence	NOUN
ap-1269	95	19	,	,	PUNCT
ap-1269	95	20	however	however	ADV
ap-1269	95	21	,	,	PUNCT
ap-1269	95	22	all	all	PRON
ap-1269	95	23	of	of	ADP
ap-1269	95	24	them	they	PRON
ap-1269	95	25	are	be	AUX
ap-1269	95	26	discussed	discuss	VERB
ap-1269	95	27	in	in	ADP
ap-1269	95	28	[	[	X
ap-1269	95	29	4	4	NUM
ap-1269	95	30	]	]	PUNCT
ap-1269	95	31	.	.	PUNCT
ap-1269	96	1	to	to	PART
ap-1269	96	2	show	show	VERB
ap-1269	96	3	functionality	functionality	NOUN
ap-1269	96	4	we	we	PRON
ap-1269	96	5	need	need	VERB
ap-1269	96	6	to	to	PART
ap-1269	96	7	analyze	analyze	VERB
ap-1269	96	8	either	either	CCONJ
ap-1269	96	9	a	a	DET
ap-1269	96	10	strongly	strongly	ADV
ap-1269	96	11	non	non	ADJ
ap-1269	96	12	-	-	ADJ
ap-1269	96	13	lagrangian	lagrangian	ADJ
ap-1269	96	14	system	system	NOUN
ap-1269	96	15	[	[	X
ap-1269	96	16	5	5	NUM
ap-1269	96	17	]	]	PUNCT
ap-1269	96	18	or	or	CCONJ
ap-1269	96	19	a	a	DET
ap-1269	96	20	weakly	weakly	ADJ
ap-1269	96	21	nonlagrangian	nonlagrangian	ADJ
ap-1269	96	22	one	one	NUM
ap-1269	96	23	.	.	PUNCT
ap-1269	97	1	for	for	ADP
ap-1269	97	2	the	the	DET
ap-1269	97	3	sake	sake	NOUN
ap-1269	97	4	of	of	ADP
ap-1269	97	5	simplicity	simplicity	NOUN
ap-1269	97	6	let	let	VERB
ap-1269	97	7	us	we	PRON
ap-1269	97	8	focus	focus	VERB
ap-1269	97	9	on	on	ADP
ap-1269	97	10	the	the	DET
ap-1269	97	11	second	second	ADJ
ap-1269	97	12	case	case	NOUN
ap-1269	97	13	.	.	PUNCT
ap-1269	98	1	to	to	ADP
ap-1269	98	2	this	this	DET
ap-1269	98	3	end	end	NOUN
ap-1269	98	4	,	,	PUNCT
ap-1269	98	5	let	let	VERB
ap-1269	98	6	us	we	PRON
ap-1269	98	7	consider	consider	VERB
ap-1269	98	8	a	a	DET
ap-1269	98	9	system	system	NOUN
ap-1269	98	10	consisting	consist	VERB
ap-1269	98	11	of	of	ADP
ap-1269	98	12	a	a	DET
ap-1269	98	13	free	free	ADJ
ap-1269	98	14	particle	particle	NOUN
ap-1269	98	15	with	with	ADP
ap-1269	98	16	unit	unit	NOUN
ap-1269	98	17	mass	mass	PROPN
ap-1269	98	18	affected	affect	VERB
ap-1269	98	19	by	by	ADP
ap-1269	98	20	friction	friction	NOUN
ap-1269	98	21	:	:	PUNCT
ap-1269	98	22	q̈	q̈	PROPN
ap-1269	98	23	=	=	SYM
ap-1269	98	24	−κq̇	−κq̇	PROPN
ap-1269	98	25	⇔	⇔	PROPN
ap-1269	98	26	ω	ω	PROPN
ap-1269	98	27	=	=	SYM
ap-1269	98	28	dp	dp	NOUN
ap-1269	98	29	∧	∧	NOUN
ap-1269	98	30	(	(	PUNCT
ap-1269	98	31	dq	dq	NOUN
ap-1269	98	32	−	−	PROPN
ap-1269	98	33	p	p	X
ap-1269	98	34	dt)−	dt)−	PROPN
ap-1269	98	35	κp	κp	NOUN
ap-1269	98	36	dq	dq	ADP
ap-1269	98	37	∧	∧	PROPN
ap-1269	98	38	dt	dt	PROPN
ap-1269	98	39	.	.	PUNCT
ap-1269	99	1	in	in	ADP
ap-1269	99	2	the	the	DET
ap-1269	99	3	considered	considered	ADJ
ap-1269	99	4	example	example	NOUN
ap-1269	99	5	,	,	PUNCT
ap-1269	99	6	the	the	DET
ap-1269	99	7	surface	surface	NOUN
ap-1269	99	8	functional	functional	ADJ
ap-1269	99	9	integral	integral	NOUN
ap-1269	99	10	can	can	AUX
ap-1269	99	11	be	be	AUX
ap-1269	99	12	carried	carry	VERB
ap-1269	99	13	out	out	ADP
ap-1269	99	14	explicitly	explicitly	ADV
ap-1269	99	15	(	(	PUNCT
ap-1269	99	16	for	for	SCONJ
ap-1269	99	17	details	detail	NOUN
ap-1269	99	18	see	see	VERB
ap-1269	99	19	[	[	X
ap-1269	99	20	4	4	NUM
ap-1269	99	21	]	]	NUM
ap-1269	99	22	)	)	PUNCT
ap-1269	99	23	.	.	PUNCT
ap-1269	100	1	at	at	ADP
ap-1269	100	2	the	the	DET
ap-1269	100	3	end	end	NOUN
ap-1269	100	4	one	one	NUM
ap-1269	100	5	arrives	arrive	VERB
ap-1269	100	6	at	at	ADP
ap-1269	100	7	the	the	DET
ap-1269	100	8	path	path	NOUN
ap-1269	100	9	integral	integral	ADJ
ap-1269	100	10	in	in	ADP
ap-1269	100	11	the	the	DET
ap-1269	100	12	configuration	configuration	NOUN
ap-1269	100	13	space	space	NOUN
ap-1269	100	14	with	with	ADP
ap-1269	100	15	a	a	DET
ap-1269	100	16	surprisingly	surprisingly	ADV
ap-1269	100	17	trivial	trivial	ADJ
ap-1269	100	18	result	result	NOUN
ap-1269	100	19	:	:	PUNCT
ap-1269	100	20	∫	∫	PROPN
ap-1269	100	21	u	u	PROPN
ap-1269	100	22	[	[	X
ap-1269	100	23	dς	dς	X
ap-1269	100	24	]	]	X
ap-1269	100	25	exp	exp	NOUN
ap-1269	100	26	{	{	PUNCT
ap-1269	100	27	i	i	PRON
ap-1269	100	28	h̄	h̄	X
ap-1269	100	29	∫	∫	PROPN
ap-1269	100	30	σ	σ	PROPN
ap-1269	100	31	ω	ω	PROPN
ap-1269	100	32	}	}	PUNCT
ap-1269	100	33	∝	∝	PROPN
ap-1269	100	34	exp	exp	NOUN
ap-1269	100	35	{	{	PUNCT
ap-1269	100	36	−	−	PROPN
ap-1269	100	37	i	i	PRON
ap-1269	100	38	h̄	h̄	NUM
ap-1269	100	39	t1∫	t1∫	PROPN
ap-1269	100	40	t0	t0	PROPN
ap-1269	100	41	(	(	PUNCT
ap-1269	100	42	1	1	NUM
ap-1269	100	43	2	2	NUM
ap-1269	100	44	q̇2cl	q̇2cl	NOUN
ap-1269	100	45	−	−	PROPN
ap-1269	100	46	κpclqcl	κpclqcl	NOUN
ap-1269	100	47	)	)	PUNCT
ap-1269	100	48	dt	dt	PUNCT
ap-1269	100	49	}	}	PUNCT
ap-1269	101	1	×	×	NOUN
ap-1269	101	2	∫	∫	NOUN
ap-1269	102	1	[	[	X
ap-1269	102	2	dq	dq	X
ap-1269	102	3	]	]	X
ap-1269	102	4	exp	exp	NOUN
ap-1269	102	5	{	{	PUNCT
ap-1269	102	6	i	i	PROPN
ap-1269	102	7	h̄	h̄	NUM
ap-1269	102	8	t1∫	t1∫	PROPN
ap-1269	102	9	t0	t0	PROPN
ap-1269	102	10	(	(	PUNCT
ap-1269	102	11	1	1	NUM
ap-1269	102	12	2	2	NUM
ap-1269	102	13	q̇2	q̇2	NOUN
ap-1269	102	14	−	−	PROPN
ap-1269	102	15	κpclq	κpclq	NOUN
ap-1269	102	16	)	)	PUNCT
ap-1269	102	17	dt	dt	PUNCT
ap-1269	102	18	}	}	PUNCT
ap-1269	102	19	.	.	PUNCT
ap-1269	103	1	if	if	SCONJ
ap-1269	103	2	we	we	PRON
ap-1269	103	3	define	define	VERB
ap-1269	103	4	scl	scl	PROPN
ap-1269	103	5	to	to	PART
ap-1269	103	6	be	be	AUX
ap-1269	103	7	scl(q1	scl(q1	NOUN
ap-1269	103	8	,	,	PUNCT
ap-1269	103	9	t1	t1	NOUN
ap-1269	103	10	|	|	ADV
ap-1269	103	11	q0	q0	NOUN
ap-1269	103	12	,	,	PUNCT
ap-1269	103	13	t0	t0	PROPN
ap-1269	103	14	)	)	PUNCT
ap-1269	103	15	=	=	SYM
ap-1269	104	1	t1∫	t1∫	NUM
ap-1269	104	2	t0	t0	NOUN
ap-1269	104	3	(	(	PUNCT
ap-1269	104	4	1	1	NUM
ap-1269	104	5	2	2	NUM
ap-1269	104	6	q̇2cl	q̇2cl	NOUN
ap-1269	104	7	−	−	PROPN
ap-1269	104	8	κpclqcl	κpclqcl	NOUN
ap-1269	104	9	)	)	PUNCT
ap-1269	104	10	dt	dt	X
ap-1269	104	11	,	,	PUNCT
ap-1269	104	12	(	(	PUNCT
ap-1269	104	13	7	7	X
ap-1269	104	14	)	)	PUNCT
ap-1269	104	15	then	then	ADV
ap-1269	104	16	a(q1	a(q1	PROPN
ap-1269	104	17	,	,	PUNCT
ap-1269	104	18	t1	t1	PROPN
ap-1269	105	1	|	|	ADV
ap-1269	105	2	q0	q0	NOUN
ap-1269	105	3	,	,	PUNCT
ap-1269	105	4	t0	t0	PROPN
ap-1269	105	5	)	)	PUNCT
ap-1269	105	6	∝∫	∝∫	PUNCT
ap-1269	106	1	[	[	X
ap-1269	106	2	dq	dq	X
ap-1269	106	3	]	]	X
ap-1269	106	4	exp	exp	NOUN
ap-1269	106	5	{	{	PUNCT
ap-1269	106	6	i	i	PROPN
ap-1269	106	7	h̄	h̄	NUM
ap-1269	106	8	t1∫	t1∫	PROPN
ap-1269	106	9	t0	t0	PROPN
ap-1269	106	10	(	(	PUNCT
ap-1269	106	11	1	1	NUM
ap-1269	106	12	2	2	NUM
ap-1269	106	13	q̇2	q̇2	NOUN
ap-1269	106	14	−	−	PROPN
ap-1269	106	15	κpclq	κpclq	NOUN
ap-1269	106	16	)	)	PUNCT
ap-1269	106	17	dt	dt	PUNCT
ap-1269	106	18	}	}	PUNCT
ap-1269	106	19	and	and	CCONJ
ap-1269	106	20	in	in	ADP
ap-1269	106	21	the	the	DET
ap-1269	106	22	classical	classical	ADJ
ap-1269	106	23	limit	limit	NOUN
ap-1269	106	24	h̄	h̄	X
ap-1269	106	25	→	→	SYM
ap-1269	106	26	0	0	NUM
ap-1269	106	27	we	we	PRON
ap-1269	106	28	arrive	arrive	VERB
ap-1269	106	29	at	at	ADP
ap-1269	106	30	the	the	DET
ap-1269	106	31	saddle	saddle	NOUN
ap-1269	106	32	point	point	NOUN
ap-1269	106	33	equation	equation	NOUN
ap-1269	106	34	which	which	PRON
ap-1269	106	35	is	be	AUX
ap-1269	106	36	specified	specify	VERB
ap-1269	106	37	by	by	ADP
ap-1269	106	38	the	the	DET
ap-1269	106	39	functional	functional	ADJ
ap-1269	106	40	term	term	NOUN
ap-1269	106	41	in	in	ADP
ap-1269	106	42	the	the	DET
ap-1269	106	43	exponent	exponent	NOUN
ap-1269	106	44	above	above	ADV
ap-1269	106	45	:	:	PUNCT
ap-1269	106	46	q̈	q̈	PROPN
ap-1269	107	1	=	=	SYM
ap-1269	107	2	−κq̇cl	−κq̇cl	PROPN
ap-1269	107	3	.	.	PUNCT
ap-1269	108	1	this	this	DET
ap-1269	108	2	differential	differential	ADJ
ap-1269	108	3	equation	equation	NOUN
ap-1269	108	4	is	be	AUX
ap-1269	108	5	different	different	ADJ
ap-1269	108	6	from	from	ADP
ap-1269	108	7	the	the	DET
ap-1269	108	8	equation	equation	NOUN
ap-1269	108	9	q̈	q̈	ADJ
ap-1269	108	10	=	=	SYM
ap-1269	108	11	−κq̇	−κq̇	NOUN
ap-1269	108	12	that	that	PRON
ap-1269	108	13	we	we	PRON
ap-1269	108	14	started	start	VERB
ap-1269	108	15	with	with	ADP
ap-1269	108	16	initially	initially	ADV
ap-1269	108	17	,	,	PUNCT
ap-1269	108	18	but	but	CCONJ
ap-1269	108	19	both	both	PRON
ap-1269	108	20	of	of	ADP
ap-1269	108	21	them	they	PRON
ap-1269	108	22	coincide	coincide	VERB
ap-1269	108	23	when	when	SCONJ
ap-1269	108	24	a	a	DET
ap-1269	108	25	solution	solution	NOUN
ap-1269	108	26	q(t	q(t	NOUN
ap-1269	108	27	)	)	PUNCT
ap-1269	108	28	satisfying	satisfy	VERB
ap-1269	108	29	q(t0	q(t0	NOUN
ap-1269	108	30	)	)	PUNCT
ap-1269	109	1	=	=	VERB
ap-1269	110	1	q0	q0	NOUN
ap-1269	110	2	and	and	CCONJ
ap-1269	110	3	q(t1	q(t1	NOUN
ap-1269	110	4	)	)	PUNCT
ap-1269	111	1	=	=	SYM
ap-1269	111	2	q1	q1	PROPN
ap-1269	111	3	is	be	AUX
ap-1269	111	4	looking	look	VERB
ap-1269	111	5	for	for	ADP
ap-1269	111	6	.	.	PUNCT
ap-1269	112	1	in	in	ADP
ap-1269	112	2	the	the	DET
ap-1269	112	3	present	present	ADJ
ap-1269	112	4	situation	situation	NOUN
ap-1269	112	5	we	we	PRON
ap-1269	112	6	gain	gain	VERB
ap-1269	112	7	:	:	PUNCT
ap-1269	112	8	scl	scl	X
ap-1269	112	9	=	=	PROPN
ap-1269	112	10	κ	κ	PROPN
ap-1269	112	11	4	4	NUM
ap-1269	112	12	(	(	PUNCT
ap-1269	112	13	q1	q1	NOUN
ap-1269	112	14	−	−	PROPN
ap-1269	112	15	q0	q0	PROPN
ap-1269	112	16	)	)	PUNCT
ap-1269	112	17	(	(	PUNCT
ap-1269	112	18	q0	q0	PROPN
ap-1269	113	1	+	+	CCONJ
ap-1269	114	1	3q1)e−κt1	3q1)e−κt1	NUM
ap-1269	114	2	−	−	PROPN
ap-1269	114	3	(	(	PUNCT
ap-1269	114	4	q1	q1	VERB
ap-1269	114	5	+	+	CCONJ
ap-1269	114	6	3q0)e−κt0	3q0)e−κt0	NUM
ap-1269	114	7	e−κt0	e−κt0	NOUN
ap-1269	114	8	−	−	PROPN
ap-1269	115	1	e−κt1	e−κt1	PROPN
ap-1269	116	1	and	and	CCONJ
ap-1269	117	1	a(q1	a(q1	PROPN
ap-1269	117	2	,	,	PUNCT
ap-1269	117	3	t1|q0	t1|q0	PROPN
ap-1269	117	4	,	,	PUNCT
ap-1269	117	5	t0	t0	NOUN
ap-1269	117	6	)	)	PUNCT
ap-1269	118	1	=	=	SYM
ap-1269	118	2	√	√	PROPN
ap-1269	118	3	κ	κ	PROPN
ap-1269	118	4	4πih̄	4πih̄	NUM
ap-1269	118	5	tanh	tanh	PROPN
ap-1269	118	6	κ	κ	ADP
ap-1269	118	7	2	2	NUM
ap-1269	118	8	(	(	PUNCT
ap-1269	118	9	t1	t1	NOUN
ap-1269	118	10	−	−	PROPN
ap-1269	118	11	t0	t0	PROPN
ap-1269	118	12	)	)	PUNCT
ap-1269	119	1	e	e	VERB
ap-1269	119	2	i	i	PRON
ap-1269	119	3	h̄scl	h̄scl	PROPN
ap-1269	119	4	.	.	PUNCT
ap-1269	120	1	(	(	PUNCT
ap-1269	120	2	8)	8)	NUM
ap-1269	120	3	here	here	ADV
ap-1269	120	4	we	we	PRON
ap-1269	120	5	have	have	AUX
ap-1269	120	6	already	already	ADV
ap-1269	120	7	employed	employ	VERB
ap-1269	120	8	the	the	DET
ap-1269	120	9	normalization	normalization	NOUN
ap-1269	120	10	conditions	condition	NOUN
ap-1269	120	11	specified	specify	VERB
ap-1269	120	12	in	in	ADP
ap-1269	120	13	the	the	DET
ap-1269	120	14	first	first	ADJ
ap-1269	120	15	paragraph	paragraph	NOUN
ap-1269	120	16	.	.	PUNCT
ap-1269	121	1	one	one	PRON
ap-1269	121	2	can	can	AUX
ap-1269	121	3	immediately	immediately	ADV
ap-1269	121	4	verify	verify	VERB
ap-1269	121	5	that	that	SCONJ
ap-1269	121	6	in	in	ADP
ap-1269	121	7	the	the	DET
ap-1269	121	8	frictionless	frictionless	NOUN
ap-1269	121	9	limit	limit	NOUN
ap-1269	121	10	(	(	PUNCT
ap-1269	121	11	κ	κ	X
ap-1269	121	12	→	→	SYM
ap-1269	121	13	0	0	NUM
ap-1269	121	14	)	)	PUNCT
ap-1269	121	15	the	the	DET
ap-1269	121	16	transition	transition	NOUN
ap-1269	121	17	probability	probability	NOUN
ap-1269	121	18	amplitude	amplitude	NOUN
ap-1269	121	19	a(q1	a(q1	NOUN
ap-1269	121	20	,	,	PUNCT
ap-1269	121	21	t1	t1	PROPN
ap-1269	121	22	|	|	ADV
ap-1269	121	23	q0	q0	NOUN
ap-1269	121	24	,	,	PUNCT
ap-1269	121	25	t0	t0	PROPN
ap-1269	121	26	)	)	PUNCT
ap-1269	121	27	matches	match	VERB
ap-1269	121	28	the	the	DET
ap-1269	121	29	schrödinger	schrödinger	NOUN
ap-1269	121	30	propagator	propagator	NOUN
ap-1269	121	31	for	for	ADP
ap-1269	121	32	a	a	DET
ap-1269	121	33	single	single	ADJ
ap-1269	121	34	free	free	ADJ
ap-1269	121	35	particle	particle	NOUN
ap-1269	121	36	.	.	PUNCT
ap-1269	122	1	4	4	NUM
ap-1269	122	2	conclusion	conclusion	NOUN
ap-1269	122	3	quantization	quantization	NOUN
ap-1269	122	4	of	of	ADP
ap-1269	122	5	dissipative	dissipative	ADJ
ap-1269	122	6	systems	system	NOUN
ap-1269	122	7	has	have	AUX
ap-1269	122	8	been	be	AUX
ap-1269	122	9	very	very	ADV
ap-1269	122	10	attractive	attractive	ADJ
ap-1269	122	11	problem	problem	NOUN
ap-1269	122	12	from	from	ADP
ap-1269	122	13	the	the	DET
ap-1269	122	14	early	early	ADJ
ap-1269	122	15	days	day	NOUN
ap-1269	122	16	of	of	ADP
ap-1269	122	17	quantum	quantum	ADJ
ap-1269	122	18	mechanics	mechanic	NOUN
ap-1269	122	19	.	.	PUNCT
ap-1269	123	1	it	it	PRON
ap-1269	123	2	has	have	AUX
ap-1269	123	3	been	be	AUX
ap-1269	123	4	revived	revive	VERB
ap-1269	123	5	again	again	ADV
ap-1269	123	6	and	and	CCONJ
ap-1269	123	7	again	again	ADV
ap-1269	123	8	across	across	ADP
ap-1269	123	9	the	the	DET
ap-1269	123	10	decades	decade	NOUN
ap-1269	123	11	.	.	PUNCT
ap-1269	124	1	many	many	ADJ
ap-1269	124	2	phenomenological	phenomenological	ADJ
ap-1269	124	3	techniques	technique	NOUN
ap-1269	124	4	and	and	CCONJ
ap-1269	124	5	effective	effective	ADJ
ap-1269	124	6	methods	method	NOUN
ap-1269	124	7	have	have	AUX
ap-1269	124	8	been	be	AUX
ap-1269	124	9	suggested	suggest	VERB
ap-1269	124	10	.	.	PUNCT
ap-1269	125	1	references	reference	NOUN
ap-1269	125	2	[	[	X
ap-1269	125	3	6	6	NUM
ap-1269	125	4	]	]	PUNCT
ap-1269	125	5	and	and	CCONJ
ap-1269	125	6	[	[	AUX
ap-1269	125	7	7	7	X
ap-1269	125	8	]	]	PUNCT
ap-1269	125	9	provide	provide	VERB
ap-1269	125	10	a	a	DET
ap-1269	125	11	very	very	ADV
ap-1269	125	12	basic	basic	ADJ
ap-1269	125	13	list	list	NOUN
ap-1269	125	14	of	of	ADP
ap-1269	125	15	papers	paper	NOUN
ap-1269	125	16	dealing	deal	VERB
ap-1269	125	17	with	with	ADP
ap-1269	125	18	this	this	DET
ap-1269	125	19	point	point	NOUN
ap-1269	125	20	.	.	PUNCT
ap-1269	126	1	we	we	PRON
ap-1269	126	2	have	have	AUX
ap-1269	126	3	developed	develop	VERB
ap-1269	126	4	here	here	ADV
ap-1269	126	5	a	a	DET
ap-1269	126	6	new	new	ADJ
ap-1269	126	7	quantization	quantization	NOUN
ap-1269	126	8	method	method	NOUN
ap-1269	126	9	that	that	PRON
ap-1269	126	10	generalizes	generalize	VERB
ap-1269	126	11	the	the	DET
ap-1269	126	12	conventional	conventional	ADJ
ap-1269	126	13	path	path	NOUN
ap-1269	126	14	integral	integral	ADJ
ap-1269	126	15	approach	approach	NOUN
ap-1269	126	16	.	.	PUNCT
ap-1269	127	1	we	we	PRON
ap-1269	127	2	have	have	AUX
ap-1269	127	3	focused	focus	VERB
ap-1269	127	4	only	only	ADV
ap-1269	127	5	on	on	ADP
ap-1269	127	6	the	the	DET
ap-1269	127	7	nonrelativistic	nonrelativistic	ADJ
ap-1269	127	8	quantum	quantum	ADJ
ap-1269	127	9	mechanics	mechanic	NOUN
ap-1269	127	10	of	of	ADP
ap-1269	127	11	spinless	spinless	ADJ
ap-1269	127	12	systems	system	NOUN
ap-1269	127	13	.	.	PUNCT
ap-1269	128	1	however	however	ADV
ap-1269	128	2	,	,	PUNCT
ap-1269	128	3	the	the	DET
ap-1269	128	4	generalization	generalization	NOUN
ap-1269	128	5	to	to	ADP
ap-1269	128	6	the	the	DET
ap-1269	128	7	field	field	NOUN
ap-1269	128	8	theory	theory	NOUN
ap-1269	128	9	is	be	AUX
ap-1269	128	10	straightforward	straightforward	ADJ
ap-1269	128	11	.	.	PUNCT
ap-1269	129	1	let	let	VERB
ap-1269	129	2	us	we	PRON
ap-1269	129	3	stress	stress	VERB
ap-1269	129	4	that	that	SCONJ
ap-1269	129	5	the	the	DET
ap-1269	129	6	proposed	propose	VERB
ap-1269	129	7	method	method	NOUN
ap-1269	129	8	represents	represent	VERB
ap-1269	129	9	an	an	DET
ap-1269	129	10	alternative	alternative	ADJ
ap-1269	129	11	approach	approach	NOUN
ap-1269	129	12	to	to	ADP
ap-1269	129	13	[	[	X
ap-1269	129	14	7	7	NUM
ap-1269	129	15	]	]	PUNCT
ap-1269	129	16	and	and	CCONJ
ap-1269	129	17	possesses	possess	VERB
ap-1269	129	18	several	several	ADJ
ap-1269	129	19	qualitative	qualitative	ADJ
ap-1269	129	20	advantages	advantage	NOUN
ap-1269	129	21	.	.	PUNCT
ap-1269	130	1	for	for	ADP
ap-1269	130	2	example	example	NOUN
ap-1269	130	3	,	,	PUNCT
ap-1269	130	4	propagator	propagator	NOUN
ap-1269	130	5	(	(	PUNCT
ap-1269	130	6	8)	8)	NUM
ap-1269	130	7	is	be	AUX
ap-1269	130	8	invariant	invariant	ADJ
ap-1269	130	9	with	with	ADP
ap-1269	130	10	respect	respect	NOUN
ap-1269	130	11	to	to	ADP
ap-1269	130	12	time	time	NOUN
ap-1269	130	13	translations	translation	NOUN
ap-1269	130	14	,	,	PUNCT
ap-1269	130	15	the	the	DET
ap-1269	130	16	same	same	ADJ
ap-1269	130	17	symmetry	symmetry	NOUN
ap-1269	130	18	property	property	NOUN
ap-1269	130	19	which	which	PRON
ap-1269	130	20	is	be	AUX
ap-1269	130	21	possessed	possess	VERB
ap-1269	130	22	by	by	ADP
ap-1269	130	23	the	the	DET
ap-1269	130	24	underlying	underlie	VERB
ap-1269	130	25	equation	equation	NOUN
ap-1269	130	26	of	of	ADP
ap-1269	130	27	motion	motion	NOUN
ap-1269	130	28	.	.	PUNCT
ap-1269	131	1	moreover	moreover	ADV
ap-1269	131	2	,	,	PUNCT
ap-1269	131	3	it	it	PRON
ap-1269	131	4	is	be	AUX
ap-1269	131	5	reasonable	reasonable	ADJ
ap-1269	131	6	to	to	PART
ap-1269	131	7	expect	expect	VERB
ap-1269	131	8	that	that	SCONJ
ap-1269	131	9	the	the	DET
ap-1269	131	10	“	"	PUNCT
ap-1269	131	11	dissipative	dissipative	ADJ
ap-1269	131	12	quantum	quantum	NOUN
ap-1269	131	13	evolution	evolution	NOUN
ap-1269	131	14	”	"	PUNCT
ap-1269	131	15	will	will	AUX
ap-1269	131	16	not	not	PART
ap-1269	131	17	remain	remain	VERB
ap-1269	131	18	markovian	markovian	ADJ
ap-1269	131	19	.	.	PUNCT
ap-1269	132	1	this	this	DET
ap-1269	132	2	fact	fact	NOUN
ap-1269	132	3	is	be	AUX
ap-1269	132	4	again	again	ADV
ap-1269	132	5	confirmed	confirm	VERB
ap-1269	132	6	,	,	PUNCT
ap-1269	132	7	since	since	SCONJ
ap-1269	132	8	the	the	DET
ap-1269	132	9	probability	probability	NOUN
ap-1269	132	10	amplitude	amplitude	NOUN
ap-1269	132	11	under	under	ADP
ap-1269	132	12	consideration	consideration	NOUN
ap-1269	132	13	does	do	AUX
ap-1269	132	14	not	not	PART
ap-1269	132	15	satisfy	satisfy	VERB
ap-1269	132	16	the	the	DET
ap-1269	132	17	memoryless	memoryless	PROPN
ap-1269	132	18	chapman	chapman	PROPN
ap-1269	132	19	-	-	PUNCT
ap-1269	132	20	kolmogorov	kolmogorov	PROPN
ap-1269	132	21	equation	equation	NOUN
ap-1269	132	22	mentioned	mention	VERB
ap-1269	132	23	in	in	ADP
ap-1269	132	24	the	the	DET
ap-1269	132	25	first	first	ADJ
ap-1269	132	26	paragraph	paragraph	NOUN
ap-1269	132	27	.	.	PUNCT
ap-1269	133	1	finally	finally	ADV
ap-1269	133	2	,	,	PUNCT
ap-1269	133	3	let	let	VERB
ap-1269	133	4	us	we	PRON
ap-1269	133	5	believe	believe	VERB
ap-1269	133	6	that	that	SCONJ
ap-1269	133	7	the	the	DET
ap-1269	133	8	simple	simple	ADJ
ap-1269	133	9	geometrical	geometrical	ADJ
ap-1269	133	10	idea	idea	NOUN
ap-1269	133	11	behind	behind	ADP
ap-1269	133	12	the	the	DET
ap-1269	133	13	surface	surface	NOUN
ap-1269	133	14	functional	functional	ADJ
ap-1269	133	15	integral	integral	ADJ
ap-1269	133	16	quantization	quantization	NOUN
ap-1269	133	17	will	will	AUX
ap-1269	133	18	fit	fit	VERB
ap-1269	133	19	within	within	ADP
ap-1269	133	20	the	the	DET
ap-1269	133	21	ludwig	ludwig	PROPN
ap-1269	133	22	faddeev	faddeev	PROPN
ap-1269	133	23	dictum	dictum	NOUN
ap-1269	133	24	quantization	quantization	NOUN
ap-1269	133	25	is	be	AUX
ap-1269	133	26	not	not	PART
ap-1269	133	27	a	a	DET
ap-1269	133	28	science	science	NOUN
ap-1269	133	29	,	,	PUNCT
ap-1269	133	30	quantization	quantization	NOUN
ap-1269	133	31	is	be	AUX
ap-1269	133	32	an	an	DET
ap-1269	133	33	art	art	NOUN
ap-1269	133	34	!	!	PUNCT
ap-1269	134	1	59	59	NUM
ap-1269	134	2	acta	acta	PROPN
ap-1269	134	3	polytechnica	polytechnica	PROPN
ap-1269	134	4	vol	vol	NOUN
ap-1269	134	5	.	.	PROPN
ap-1269	135	1	50	50	NUM
ap-1269	135	2	no	no	NOUN
ap-1269	135	3	.	.	PUNCT
ap-1269	136	1	5/2010	5/2010	NUM
ap-1269	136	2	acknowledgement	acknowledgement	NOUN
ap-1269	136	3	this	this	DET
ap-1269	136	4	research	research	NOUN
ap-1269	136	5	was	be	AUX
ap-1269	136	6	supported	support	VERB
ap-1269	136	7	in	in	ADP
ap-1269	136	8	part	part	NOUN
ap-1269	136	9	by	by	ADP
ap-1269	136	10	mšmt	mšmt	ADJ
ap-1269	136	11	grant	grant	NOUN
ap-1269	136	12	lc06002	lc06002	NOUN
ap-1269	136	13	,	,	PUNCT
ap-1269	136	14	vega	vega	PROPN
ap-1269	136	15	grant	grant	VERB
ap-1269	136	16	1/1008/09	1/1008/09	NUM
ap-1269	136	17	and	and	CCONJ
ap-1269	136	18	by	by	ADP
ap-1269	136	19	the	the	DET
ap-1269	136	20	mš	mš	PROPN
ap-1269	136	21	sr	sr	PROPN
ap-1269	136	22	program	program	PROPN
ap-1269	136	23	for	for	ADP
ap-1269	136	24	cern	cern	ADJ
ap-1269	136	25	and	and	CCONJ
ap-1269	136	26	international	international	ADJ
ap-1269	136	27	mobility	mobility	NOUN
ap-1269	136	28	.	.	PUNCT
ap-1269	137	1	a.	a.	PROPN
ap-1269	137	2	m.	m.	PROPN
ap-1269	137	3	d.	d.	PROPN
ap-1269	137	4	g.	g.	PROPN
ap-1269	137	5	references	reference	NOUN
ap-1269	137	6	[	[	X
ap-1269	137	7	1	1	NUM
ap-1269	137	8	]	]	X
ap-1269	137	9	feynman	feynman	PROPN
ap-1269	137	10	,	,	PUNCT
ap-1269	137	11	r.	r.	PROPN
ap-1269	137	12	p.	p.	PROPN
ap-1269	137	13	,	,	PUNCT
ap-1269	137	14	hibbs	hibbs	PROPN
ap-1269	137	15	,	,	PUNCT
ap-1269	137	16	a.	a.	PROPN
ap-1269	137	17	r.	r.	PROPN
ap-1269	137	18	:	:	PUNCT
ap-1269	137	19	quantum	quantum	ADJ
ap-1269	137	20	mechanics	mechanic	NOUN
ap-1269	137	21	and	and	CCONJ
ap-1269	137	22	path	path	NOUN
ap-1269	137	23	integrals	integral	NOUN
ap-1269	137	24	,	,	PUNCT
ap-1269	137	25	mcgraw	mcgraw	PROPN
ap-1269	137	26	-	-	PUNCT
ap-1269	137	27	hill	hill	PROPN
ap-1269	137	28	inc	inc	PROPN
ap-1269	137	29	.	.	PROPN
ap-1269	137	30	,	,	PUNCT
ap-1269	137	31	new	new	PROPN
ap-1269	137	32	york	york	PROPN
ap-1269	137	33	,	,	PUNCT
ap-1269	137	34	1965	1965	NUM
ap-1269	137	35	.	.	PUNCT
ap-1269	138	1	[	[	X
ap-1269	138	2	2	2	NUM
ap-1269	138	3	]	]	X
ap-1269	138	4	feynman	feynman	PROPN
ap-1269	138	5	,	,	PUNCT
ap-1269	138	6	r.	r.	PROPN
ap-1269	138	7	p.	p.	PROPN
ap-1269	138	8	:	:	PUNCT
ap-1269	138	9	space	space	NOUN
ap-1269	138	10	-	-	PUNCT
ap-1269	138	11	time	time	NOUN
ap-1269	138	12	approach	approach	NOUN
ap-1269	138	13	to	to	ADP
ap-1269	138	14	nonrelativistic	nonrelativistic	ADJ
ap-1269	138	15	quantum	quantum	ADJ
ap-1269	138	16	mechanics	mechanic	NOUN
ap-1269	138	17	,	,	PUNCT
ap-1269	138	18	rev	rev	PROPN
ap-1269	138	19	.	.	PROPN
ap-1269	138	20	of	of	ADP
ap-1269	138	21	mod	mod	PROPN
ap-1269	138	22	.	.	PUNCT
ap-1269	139	1	phys	phy	NOUN
ap-1269	139	2	.	.	PUNCT
ap-1269	140	1	20	20	NUM
ap-1269	140	2	(	(	PUNCT
ap-1269	140	3	1948	1948	NUM
ap-1269	140	4	)	)	PUNCT
ap-1269	140	5	,	,	PUNCT
ap-1269	141	1	367–387	367–387	NUM
ap-1269	141	2	.	.	PUNCT
ap-1269	142	1	[	[	X
ap-1269	142	2	3	3	NUM
ap-1269	142	3	]	]	X
ap-1269	142	4	wigner	wigner	NOUN
ap-1269	142	5	,	,	PUNCT
ap-1269	142	6	e.	e.	PROPN
ap-1269	142	7	p.	p.	PROPN
ap-1269	142	8	:	:	PUNCT
ap-1269	142	9	do	do	AUX
ap-1269	142	10	the	the	DET
ap-1269	142	11	equations	equation	NOUN
ap-1269	142	12	of	of	ADP
ap-1269	142	13	motion	motion	NOUN
ap-1269	142	14	determine	determine	VERB
ap-1269	142	15	the	the	DET
ap-1269	142	16	quantum	quantum	ADJ
ap-1269	142	17	mechanical	mechanical	ADJ
ap-1269	142	18	commutation	commutation	NOUN
ap-1269	142	19	relations	relation	NOUN
ap-1269	142	20	?	?	PUNCT
ap-1269	142	21	,	,	PUNCT
ap-1269	142	22	phys	phy	NOUN
ap-1269	142	23	.	.	PUNCT
ap-1269	143	1	rev	rev	PROPN
ap-1269	143	2	.	.	PROPN
ap-1269	144	1	77	77	NUM
ap-1269	144	2	(	(	PUNCT
ap-1269	144	3	1950	1950	NUM
ap-1269	144	4	)	)	PUNCT
ap-1269	144	5	,	,	PUNCT
ap-1269	145	1	711–712	711–712	NUM
ap-1269	145	2	.	.	PUNCT
ap-1269	146	1	okubo	okubo	PROPN
ap-1269	146	2	,	,	PUNCT
ap-1269	146	3	s.	s.	PROPN
ap-1269	146	4	:	:	PUNCT
ap-1269	146	5	does	do	AUX
ap-1269	146	6	the	the	DET
ap-1269	146	7	equation	equation	NOUN
ap-1269	146	8	of	of	ADP
ap-1269	146	9	motion	motion	NOUN
ap-1269	146	10	determine	determine	NOUN
ap-1269	146	11	commutation	commutation	NOUN
ap-1269	146	12	relations	relation	NOUN
ap-1269	146	13	?	?	PUNCT
ap-1269	146	14	,	,	PUNCT
ap-1269	146	15	phys	phy	NOUN
ap-1269	146	16	.	.	PUNCT
ap-1269	146	17	rev	rev	PROPN
ap-1269	146	18	.	.	PUNCT
ap-1269	147	1	d	d	X
ap-1269	147	2	22	22	NUM
ap-1269	147	3	(	(	PUNCT
ap-1269	147	4	1980	1980	NUM
ap-1269	147	5	)	)	PUNCT
ap-1269	147	6	,	,	PUNCT
ap-1269	147	7	919–923	919–923	NUM
ap-1269	147	8	.	.	PUNCT
ap-1269	148	1	henneaux	henneaux	PROPN
ap-1269	148	2	,	,	PUNCT
ap-1269	148	3	m.	m.	NOUN
ap-1269	148	4	:	:	PUNCT
ap-1269	148	5	equations	equation	NOUN
ap-1269	148	6	of	of	ADP
ap-1269	148	7	motion	motion	NOUN
ap-1269	148	8	,	,	PUNCT
ap-1269	148	9	commutation	commutation	NOUN
ap-1269	148	10	relations	relation	NOUN
ap-1269	148	11	and	and	CCONJ
ap-1269	148	12	ambiguities	ambiguity	NOUN
ap-1269	148	13	in	in	ADP
ap-1269	148	14	the	the	DET
ap-1269	148	15	lagrangian	lagrangian	ADJ
ap-1269	148	16	formalism	formalism	NOUN
ap-1269	148	17	,	,	PUNCT
ap-1269	148	18	annals	annal	VERB
ap-1269	148	19	phys	phy	NOUN
ap-1269	148	20	.	.	PUNCT
ap-1269	149	1	140	140	NUM
ap-1269	149	2	(	(	PUNCT
ap-1269	149	3	1982	1982	NUM
ap-1269	149	4	)	)	PUNCT
ap-1269	149	5	,	,	PUNCT
ap-1269	149	6	45–64	45–64	NUM
ap-1269	149	7	.	.	PUNCT
ap-1269	150	1	[	[	X
ap-1269	150	2	4	4	NUM
ap-1269	150	3	]	]	X
ap-1269	150	4	kochan	kochan	NOUN
ap-1269	150	5	,	,	PUNCT
ap-1269	150	6	d.	d.	PROPN
ap-1269	150	7	:	:	PUNCT
ap-1269	150	8	direct	direct	ADJ
ap-1269	150	9	quantization	quantization	NOUN
ap-1269	150	10	of	of	ADP
ap-1269	150	11	equations	equation	NOUN
ap-1269	150	12	of	of	ADP
ap-1269	150	13	motion	motion	NOUN
ap-1269	150	14	,	,	PUNCT
ap-1269	150	15	acta	acta	PROPN
ap-1269	150	16	polytechnica	polytechnica	PROPN
ap-1269	150	17	47	47	NUM
ap-1269	150	18	,	,	PUNCT
ap-1269	150	19	no	no	INTJ
ap-1269	150	20	.	.	PUNCT
ap-1269	151	1	2–3	2–3	NUM
ap-1269	151	2	(	(	PUNCT
ap-1269	151	3	2007	2007	NUM
ap-1269	151	4	)	)	PUNCT
ap-1269	151	5	,	,	PUNCT
ap-1269	151	6	60–67	60–67	NUM
ap-1269	151	7	,	,	PUNCT
ap-1269	151	8	arxiv	arxiv	NOUN
ap-1269	151	9	:	:	PUNCT
ap-1269	151	10	hep	hep	NOUN
ap-1269	151	11	-	-	PUNCT
ap-1269	151	12	th/0703073	th/0703073	NOUN
ap-1269	151	13	.	.	PUNCT
ap-1269	151	14	kochan	kochan	PROPN
ap-1269	151	15	,	,	PUNCT
ap-1269	151	16	d.	d.	PROPN
ap-1269	151	17	:	:	PUNCT
ap-1269	151	18	how	how	SCONJ
ap-1269	151	19	to	to	PART
ap-1269	151	20	quantize	quantize	VERB
ap-1269	151	21	forces	force	NOUN
ap-1269	151	22	(	(	PUNCT
ap-1269	151	23	?	?	NUM
ap-1269	151	24	):	):	PUNCT
ap-1269	151	25	an	an	DET
ap-1269	151	26	academic	academic	ADJ
ap-1269	151	27	essay	essay	NOUN
ap-1269	151	28	on	on	ADP
ap-1269	151	29	how	how	SCONJ
ap-1269	151	30	the	the	DET
ap-1269	151	31	strings	string	NOUN
ap-1269	151	32	could	could	AUX
ap-1269	151	33	enter	enter	VERB
ap-1269	151	34	classical	classical	ADJ
ap-1269	151	35	mechanics	mechanic	NOUN
ap-1269	151	36	,	,	PUNCT
ap-1269	151	37	j.	j.	PROPN
ap-1269	151	38	geom	geom	PROPN
ap-1269	151	39	.	.	PUNCT
ap-1269	152	1	phys	phy	NOUN
ap-1269	152	2	.	.	PUNCT
ap-1269	153	1	60	60	NUM
ap-1269	153	2	(	(	PUNCT
ap-1269	153	3	2010	2010	NUM
ap-1269	153	4	)	)	PUNCT
ap-1269	153	5	,	,	PUNCT
ap-1269	153	6	219–229	219–229	NUM
ap-1269	153	7	,	,	PUNCT
ap-1269	153	8	arxiv	arxiv	NOUN
ap-1269	153	9	:	:	PUNCT
ap-1269	153	10	hep	hep	PROPN
ap-1269	153	11	-	-	PROPN
ap-1269	153	12	th/0612115	th/0612115	PROPN
ap-1269	153	13	.	.	PUNCT
ap-1269	153	14	kochan	kochan	PROPN
ap-1269	153	15	,	,	PUNCT
ap-1269	153	16	d.	d.	NOUN
ap-1269	153	17	:	:	PUNCT
ap-1269	153	18	quantization	quantization	NOUN
ap-1269	153	19	of	of	ADP
ap-1269	153	20	non	non	ADJ
ap-1269	153	21	-	-	ADJ
ap-1269	153	22	lagrangian	lagrangian	ADJ
ap-1269	153	23	systems	system	NOUN
ap-1269	153	24	:	:	PUNCT
ap-1269	153	25	some	some	DET
ap-1269	153	26	irresponsible	irresponsible	ADJ
ap-1269	153	27	speculations	speculation	NOUN
ap-1269	153	28	aip	aip	PROPN
ap-1269	153	29	conf	conf	PROPN
ap-1269	153	30	.	.	PUNCT
ap-1269	154	1	proc	proc	PROPN
ap-1269	154	2	.	.	PUNCT
ap-1269	155	1	956	956	NUM
ap-1269	155	2	(	(	PUNCT
ap-1269	155	3	2007	2007	NUM
ap-1269	155	4	)	)	PUNCT
ap-1269	155	5	,	,	PUNCT
ap-1269	155	6	3–8	3–8	X
ap-1269	155	7	.	.	PUNCT
ap-1269	155	8	kochan	kochan	PROPN
ap-1269	155	9	,	,	PUNCT
ap-1269	155	10	d.	d.	NOUN
ap-1269	155	11	:	:	PUNCT
ap-1269	155	12	quantization	quantization	NOUN
ap-1269	155	13	of	of	ADP
ap-1269	155	14	non	non	ADJ
ap-1269	155	15	-	-	ADJ
ap-1269	155	16	lagrangian	lagrangian	ADJ
ap-1269	155	17	systems	system	NOUN
ap-1269	155	18	,	,	PUNCT
ap-1269	155	19	int	int	NOUN
ap-1269	155	20	.	.	PUNCT
ap-1269	156	1	j.	j.	PROPN
ap-1269	156	2	mod	mod	PROPN
ap-1269	156	3	.	.	PUNCT
ap-1269	157	1	phys	phys	PROPN
ap-1269	157	2	.	.	PUNCT
ap-1269	158	1	a	a	DET
ap-1269	158	2	24	24	NUM
ap-1269	158	3	nos	no	NOUN
ap-1269	158	4	.	.	PROPN
ap-1269	158	5	28	28	NUM
ap-1269	158	6	&	&	CCONJ
ap-1269	158	7	29	29	NUM
ap-1269	158	8	(	(	PUNCT
ap-1269	158	9	2009	2009	NUM
ap-1269	158	10	)	)	PUNCT
ap-1269	158	11	,	,	PUNCT
ap-1269	158	12	5	5	NUM
ap-1269	158	13	319–5	319–5	NUM
ap-1269	158	14	340	340	NUM
ap-1269	158	15	.	.	PUNCT
ap-1269	159	1	kochan	kochan	PROPN
ap-1269	159	2	,	,	PUNCT
ap-1269	159	3	d.	d.	PROPN
ap-1269	159	4	:	:	PUNCT
ap-1269	159	5	functional	functional	ADJ
ap-1269	159	6	integral	integral	ADJ
ap-1269	159	7	for	for	ADP
ap-1269	159	8	nonlagrangian	nonlagrangian	ADJ
ap-1269	159	9	systems	system	NOUN
ap-1269	159	10	,	,	PUNCT
ap-1269	159	11	phys	phy	NOUN
ap-1269	159	12	.	.	PUNCT
ap-1269	159	13	rev	rev	PROPN
ap-1269	159	14	.	.	PUNCT
ap-1269	160	1	a	a	DET
ap-1269	160	2	81	81	NUM
ap-1269	160	3	,	,	PUNCT
ap-1269	160	4	022112	022112	NUM
ap-1269	160	5	(	(	PUNCT
ap-1269	160	6	2010	2010	NUM
ap-1269	160	7	)	)	PUNCT
ap-1269	160	8	,	,	PUNCT
ap-1269	160	9	arxiv:1001.1863	arxiv:1001.1863	NOUN
ap-1269	160	10	.	.	PUNCT
ap-1269	161	1	[	[	X
ap-1269	161	2	5	5	NUM
ap-1269	161	3	]	]	X
ap-1269	161	4	douglas	douglas	PROPN
ap-1269	161	5	,	,	PUNCT
ap-1269	161	6	j.	j.	PROPN
ap-1269	161	7	:	:	PUNCT
ap-1269	161	8	solution	solution	NOUN
ap-1269	161	9	of	of	ADP
ap-1269	161	10	the	the	DET
ap-1269	161	11	inverse	inverse	NOUN
ap-1269	161	12	problem	problem	NOUN
ap-1269	161	13	in	in	ADP
ap-1269	161	14	the	the	DET
ap-1269	161	15	calculus	calculus	NOUN
ap-1269	161	16	of	of	ADP
ap-1269	161	17	variations	variation	NOUN
ap-1269	161	18	,	,	PUNCT
ap-1269	161	19	trans	trans	PROPN
ap-1269	161	20	.	.	PROPN
ap-1269	161	21	am	be	AUX
ap-1269	161	22	.	.	PUNCT
ap-1269	162	1	math	math	NOUN
ap-1269	162	2	.	.	PUNCT
ap-1269	163	1	soc	soc	PROPN
ap-1269	163	2	.	.	PUNCT
ap-1269	164	1	50	50	NUM
ap-1269	164	2	(	(	PUNCT
ap-1269	164	3	1941	1941	NUM
ap-1269	164	4	)	)	PUNCT
ap-1269	164	5	,	,	PUNCT
ap-1269	164	6	71–128	71–128	NOUN
ap-1269	164	7	.	.	PUNCT
ap-1269	165	1	[	[	X
ap-1269	165	2	6	6	NUM
ap-1269	165	3	]	]	X
ap-1269	165	4	beteman	beteman	NOUN
ap-1269	165	5	,	,	PUNCT
ap-1269	165	6	h.	h.	PROPN
ap-1269	165	7	:	:	PUNCT
ap-1269	165	8	on	on	ADP
ap-1269	165	9	dissipative	dissipative	ADJ
ap-1269	165	10	systems	system	NOUN
ap-1269	165	11	and	and	CCONJ
ap-1269	165	12	related	relate	VERB
ap-1269	165	13	variational	variational	ADJ
ap-1269	165	14	principles	principle	NOUN
ap-1269	165	15	,	,	PUNCT
ap-1269	165	16	phys	phy	NOUN
ap-1269	165	17	.	.	PUNCT
ap-1269	166	1	rev	rev	PROPN
ap-1269	166	2	.	.	PROPN
ap-1269	166	3	38	38	NUM
ap-1269	166	4	(	(	PUNCT
ap-1269	166	5	1938	1938	NUM
ap-1269	166	6	)	)	PUNCT
ap-1269	166	7	,	,	PUNCT
ap-1269	166	8	815–819	815–819	NUM
ap-1269	166	9	.	.	PUNCT
ap-1269	167	1	feynman	feynman	PROPN
ap-1269	167	2	,	,	PUNCT
ap-1269	167	3	r.	r.	PROPN
ap-1269	167	4	p.	p.	PROPN
ap-1269	167	5	,	,	PUNCT
ap-1269	167	6	vernon	vernon	PROPN
ap-1269	167	7	,	,	PUNCT
ap-1269	167	8	f.	f.	PROPN
ap-1269	167	9	l.	l.	PROPN
ap-1269	167	10	:	:	PUNCT
ap-1269	167	11	the	the	DET
ap-1269	167	12	theory	theory	NOUN
ap-1269	167	13	of	of	ADP
ap-1269	167	14	a	a	DET
ap-1269	167	15	general	general	ADJ
ap-1269	167	16	quantum	quantum	NOUN
ap-1269	167	17	system	system	NOUN
ap-1269	167	18	interacting	interact	VERB
ap-1269	167	19	with	with	ADP
ap-1269	167	20	a	a	DET
ap-1269	167	21	linear	linear	ADJ
ap-1269	167	22	dissipative	dissipative	ADJ
ap-1269	167	23	system	system	NOUN
ap-1269	167	24	,	,	PUNCT
ap-1269	167	25	annals	annal	NOUN
ap-1269	167	26	of	of	ADP
ap-1269	167	27	physics	physics	NOUN
ap-1269	167	28	24	24	NUM
ap-1269	167	29	(	(	PUNCT
ap-1269	167	30	1963	1963	NUM
ap-1269	167	31	)	)	PUNCT
ap-1269	167	32	,	,	PUNCT
ap-1269	167	33	118–173	118–173	NUM
ap-1269	167	34	.	.	PUNCT
ap-1269	168	1	kostin	kostin	PROPN
ap-1269	168	2	,	,	PUNCT
ap-1269	168	3	m.	m.	NOUN
ap-1269	168	4	d.	d.	PROPN
ap-1269	168	5	:	:	PUNCT
ap-1269	168	6	on	on	ADP
ap-1269	168	7	the	the	DET
ap-1269	168	8	schrödinger	schrödinger	NOUN
ap-1269	168	9	-	-	PUNCT
ap-1269	168	10	langevin	langevin	NOUN
ap-1269	168	11	equation	equation	NOUN
ap-1269	168	12	,	,	PUNCT
ap-1269	168	13	j.	j.	PROPN
ap-1269	168	14	chem	chem	PROPN
ap-1269	168	15	.	.	PUNCT
ap-1269	169	1	phys	phy	NOUN
ap-1269	169	2	.	.	PUNCT
ap-1269	170	1	57	57	NUM
ap-1269	170	2	(	(	PUNCT
ap-1269	170	3	1972	1972	NUM
ap-1269	170	4	)	)	PUNCT
ap-1269	170	5	,	,	PUNCT
ap-1269	170	6	3	3	NUM
ap-1269	170	7	589–3591	589–3591	NUM
ap-1269	170	8	.	.	PUNCT
ap-1269	171	1	kan	kan	PROPN
ap-1269	171	2	,	,	PUNCT
ap-1269	171	3	k.	k.	PROPN
ap-1269	171	4	k.	k.	PROPN
ap-1269	171	5	,	,	PUNCT
ap-1269	171	6	griffin	griffin	PROPN
ap-1269	171	7	,	,	PUNCT
ap-1269	171	8	j.	j.	PROPN
ap-1269	171	9	j.	j.	PROPN
ap-1269	171	10	:	:	PUNCT
ap-1269	171	11	quantized	quantize	VERB
ap-1269	171	12	friction	friction	NOUN
ap-1269	171	13	and	and	CCONJ
ap-1269	171	14	the	the	DET
ap-1269	171	15	correspondence	correspondence	NOUN
ap-1269	171	16	principle	principle	NOUN
ap-1269	171	17	:	:	PUNCT
ap-1269	171	18	single	single	ADJ
ap-1269	171	19	particle	particle	NOUN
ap-1269	171	20	with	with	ADP
ap-1269	171	21	friction	friction	NOUN
ap-1269	171	22	,	,	PUNCT
ap-1269	171	23	phys	phy	NOUN
ap-1269	171	24	.	.	PUNCT
ap-1269	172	1	lett	lett	PROPN
ap-1269	172	2	.	.	PROPN
ap-1269	173	1	50b	50b	NUM
ap-1269	173	2	(	(	PUNCT
ap-1269	173	3	1974	1974	NUM
ap-1269	173	4	)	)	PUNCT
ap-1269	173	5	,	,	PUNCT
ap-1269	173	6	241–243	241–243	NUM
ap-1269	173	7	.	.	PUNCT
ap-1269	174	1	hasse	hasse	PROPN
ap-1269	174	2	,	,	PUNCT
ap-1269	174	3	r.	r.	PROPN
ap-1269	174	4	w.	w.	PROPN
ap-1269	174	5	:	:	PUNCT
ap-1269	174	6	on	on	ADP
ap-1269	174	7	the	the	DET
ap-1269	174	8	quantum	quantum	ADJ
ap-1269	174	9	mechanical	mechanical	ADJ
ap-1269	174	10	treatment	treatment	NOUN
ap-1269	174	11	of	of	ADP
ap-1269	174	12	dissipative	dissipative	ADJ
ap-1269	174	13	systems	system	NOUN
ap-1269	174	14	,	,	PUNCT
ap-1269	174	15	j.	j.	PROPN
ap-1269	174	16	math	math	PROPN
ap-1269	174	17	.	.	PUNCT
ap-1269	175	1	phys	phy	NOUN
ap-1269	175	2	.	.	PUNCT
ap-1269	176	1	16	16	NUM
ap-1269	176	2	(	(	PUNCT
ap-1269	176	3	1975	1975	NUM
ap-1269	176	4	)	)	PUNCT
ap-1269	176	5	,	,	PUNCT
ap-1269	176	6	2	2	NUM
ap-1269	176	7	005–2	005–2	NOUN
ap-1269	176	8	011	011	NUM
ap-1269	176	9	.	.	PUNCT
ap-1269	176	10	dekker	dekker	PROPN
ap-1269	176	11	,	,	PUNCT
ap-1269	176	12	h.	h.	NOUN
ap-1269	176	13	:	:	PUNCT
ap-1269	176	14	classical	classical	ADJ
ap-1269	176	15	and	and	CCONJ
ap-1269	176	16	quantum	quantum	ADJ
ap-1269	176	17	mechanics	mechanic	NOUN
ap-1269	176	18	of	of	ADP
ap-1269	176	19	the	the	DET
ap-1269	176	20	damped	damp	VERB
ap-1269	176	21	harmonic	harmonic	PROPN
ap-1269	176	22	oscillator	oscillator	NOUN
ap-1269	176	23	,	,	PUNCT
ap-1269	176	24	phys	phy	NOUN
ap-1269	176	25	.	.	PUNCT
ap-1269	177	1	rep	rep	PROPN
ap-1269	177	2	.	.	PROPN
ap-1269	177	3	80	80	NUM
ap-1269	177	4	(	(	PUNCT
ap-1269	177	5	1981	1981	NUM
ap-1269	177	6	)	)	PUNCT
ap-1269	177	7	,	,	PUNCT
ap-1269	177	8	1–112	1–112	NUM
ap-1269	177	9	.	.	PUNCT
ap-1269	177	10	alicki	alicki	PROPN
ap-1269	177	11	,	,	PUNCT
ap-1269	177	12	r.	r.	PROPN
ap-1269	177	13	:	:	PUNCT
ap-1269	177	14	path	path	NOUN
ap-1269	177	15	integrals	integral	NOUN
ap-1269	177	16	and	and	CCONJ
ap-1269	177	17	stationary	stationary	ADJ
ap-1269	177	18	phase	phase	NOUN
ap-1269	177	19	approximation	approximation	NOUN
ap-1269	177	20	for	for	ADP
ap-1269	177	21	quantum	quantum	ADJ
ap-1269	177	22	dynamical	dynamical	ADJ
ap-1269	177	23	semigroups	semigroup	NOUN
ap-1269	177	24	.	.	PUNCT
ap-1269	178	1	quadratic	quadratic	ADJ
ap-1269	178	2	systems	system	NOUN
ap-1269	178	3	,	,	PUNCT
ap-1269	178	4	j.	j.	PROPN
ap-1269	178	5	math	math	PROPN
ap-1269	178	6	.	.	PUNCT
ap-1269	179	1	phys	phy	NOUN
ap-1269	179	2	.	.	PUNCT
ap-1269	180	1	23	23	NUM
ap-1269	180	2	(	(	PUNCT
ap-1269	180	3	1982	1982	NUM
ap-1269	180	4	)	)	PUNCT
ap-1269	180	5	,	,	PUNCT
ap-1269	180	6	1	1	NUM
ap-1269	180	7	370–1	370–1	NUM
ap-1269	180	8	375	375	NUM
ap-1269	180	9	.	.	PUNCT
ap-1269	181	1	caldeira	caldeira	PROPN
ap-1269	181	2	,	,	PUNCT
ap-1269	181	3	a.	a.	PROPN
ap-1269	181	4	o.	o.	PROPN
ap-1269	181	5	,	,	PUNCT
ap-1269	181	6	leggett	leggett	PROPN
ap-1269	181	7	,	,	PUNCT
ap-1269	181	8	a.	a.	PROPN
ap-1269	181	9	j.	j.	PROPN
ap-1269	181	10	:	:	PUNCT
ap-1269	181	11	path	path	PROPN
ap-1269	181	12	integral	integral	ADJ
ap-1269	181	13	approach	approach	NOUN
ap-1269	181	14	to	to	ADP
ap-1269	181	15	quantum	quantum	ADJ
ap-1269	181	16	brownian	brownian	ADJ
ap-1269	181	17	motion	motion	NOUN
ap-1269	181	18	,	,	PUNCT
ap-1269	181	19	physica	physica	PROPN
ap-1269	181	20	121a	121a	PROPN
ap-1269	181	21	(	(	PUNCT
ap-1269	181	22	1983	1983	NUM
ap-1269	181	23	)	)	PUNCT
ap-1269	181	24	,	,	PUNCT
ap-1269	181	25	587–616	587–616	NUM
ap-1269	181	26	.	.	PUNCT
ap-1269	182	1	geicke	geicke	PROPN
ap-1269	182	2	,	,	PUNCT
ap-1269	182	3	j.	j.	PROPN
ap-1269	182	4	:	:	PUNCT
ap-1269	182	5	semi	semi	ADJ
ap-1269	182	6	-	-	ADJ
ap-1269	182	7	classical	classical	ADJ
ap-1269	182	8	quantisation	quantisation	NOUN
ap-1269	182	9	of	of	ADP
ap-1269	182	10	dissipative	dissipative	ADJ
ap-1269	182	11	equations	equation	NOUN
ap-1269	182	12	,	,	PUNCT
ap-1269	182	13	j.	j.	PROPN
ap-1269	182	14	phys	phys	PROPN
ap-1269	182	15	.	.	PUNCT
ap-1269	183	1	a	a	DET
ap-1269	183	2	:	:	PUNCT
ap-1269	183	3	math	math	NOUN
ap-1269	183	4	.	.	PUNCT
ap-1269	184	1	gen	gen	PROPN
ap-1269	184	2	.	.	PROPN
ap-1269	184	3	22	22	NUM
ap-1269	184	4	(	(	PUNCT
ap-1269	184	5	1989	1989	NUM
ap-1269	184	6	)	)	PUNCT
ap-1269	184	7	1	1	NUM
ap-1269	184	8	017–1025	017–1025	NUM
ap-1269	184	9	.	.	PUNCT
ap-1269	185	1	weiss	weiss	PROPN
ap-1269	185	2	,	,	PUNCT
ap-1269	185	3	u.	u.	NOUN
ap-1269	185	4	:	:	PUNCT
ap-1269	185	5	quantum	quantum	ADJ
ap-1269	185	6	dissipative	dissipative	NOUN
ap-1269	185	7	systems	system	NOUN
ap-1269	185	8	(	(	PUNCT
ap-1269	185	9	2nd	2nd	ADJ
ap-1269	185	10	ed	ed	NOUN
ap-1269	185	11	.	.	PUNCT
ap-1269	185	12	)	)	PUNCT
ap-1269	185	13	,	,	PUNCT
ap-1269	185	14	series	series	NOUN
ap-1269	185	15	in	in	ADP
ap-1269	185	16	modern	modern	ADJ
ap-1269	185	17	condensed	condense	VERB
ap-1269	185	18	matter	matter	NOUN
ap-1269	185	19	physics	physics	NOUN
ap-1269	185	20	,	,	PUNCT
ap-1269	185	21	vol	vol	NOUN
ap-1269	185	22	.	.	PROPN
ap-1269	185	23	10	10	NUM
ap-1269	185	24	,	,	PUNCT
ap-1269	185	25	world	world	NOUN
ap-1269	185	26	scientific	scientific	PROPN
ap-1269	185	27	,	,	PUNCT
ap-1269	185	28	singapore	singapore	PROPN
ap-1269	185	29	,	,	PUNCT
ap-1269	185	30	1999	1999	NUM
ap-1269	185	31	.	.	PUNCT
ap-1269	186	1	tarasov	tarasov	NOUN
ap-1269	186	2	,	,	PUNCT
ap-1269	186	3	v.	v.	PROPN
ap-1269	186	4	e.	e.	PROPN
ap-1269	186	5	:	:	PUNCT
ap-1269	186	6	quantization	quantization	NOUN
ap-1269	186	7	of	of	ADP
ap-1269	186	8	non	non	ADJ
ap-1269	186	9	-	-	ADJ
ap-1269	186	10	hamiltonian	hamiltonian	ADJ
ap-1269	186	11	and	and	CCONJ
ap-1269	186	12	dissipative	dissipative	ADJ
ap-1269	186	13	systems	system	NOUN
ap-1269	186	14	,	,	PUNCT
ap-1269	186	15	phys	phy	NOUN
ap-1269	186	16	.	.	PUNCT
ap-1269	187	1	lett	lett	PROPN
ap-1269	187	2	.	.	PUNCT
ap-1269	188	1	a	a	DET
ap-1269	188	2	288	288	NUM
ap-1269	188	3	(	(	PUNCT
ap-1269	188	4	2001	2001	NUM
ap-1269	188	5	)	)	PUNCT
ap-1269	188	6	,	,	PUNCT
ap-1269	188	7	173–182	173–182	NUM
ap-1269	188	8	,	,	PUNCT
ap-1269	188	9	quant	quant	NOUN
ap-1269	188	10	-	-	PUNCT
ap-1269	188	11	ph/0311159	ph/0311159	PROPN
ap-1269	188	12	.	.	PUNCT
ap-1269	189	1	breuer	breuer	PROPN
ap-1269	189	2	,	,	PUNCT
ap-1269	189	3	h.	h.	PROPN
ap-1269	189	4	p.	p.	PROPN
ap-1269	189	5	,	,	PUNCT
ap-1269	189	6	petruccione	petruccione	NOUN
ap-1269	189	7	,	,	PUNCT
ap-1269	189	8	f.	f.	PROPN
ap-1269	189	9	:	:	PUNCT
ap-1269	189	10	the	the	DET
ap-1269	189	11	theory	theory	NOUN
ap-1269	189	12	of	of	ADP
ap-1269	189	13	open	open	ADJ
ap-1269	189	14	quantum	quantum	NOUN
ap-1269	189	15	systems	system	NOUN
ap-1269	189	16	.	.	PUNCT
ap-1269	190	1	oxford	oxford	PROPN
ap-1269	190	2	university	university	PROPN
ap-1269	190	3	press	press	NOUN
ap-1269	190	4	,	,	PUNCT
ap-1269	190	5	oxford	oxford	PROPN
ap-1269	190	6	,	,	PUNCT
ap-1269	190	7	2002	2002	NUM
ap-1269	190	8	.	.	PUNCT
ap-1269	191	1	razavy	razavy	NOUN
ap-1269	191	2	,	,	PUNCT
ap-1269	191	3	m.	m.	NOUN
ap-1269	191	4	:	:	PUNCT
ap-1269	191	5	classical	classical	ADJ
ap-1269	191	6	and	and	CCONJ
ap-1269	191	7	quantum	quantum	ADJ
ap-1269	191	8	dissipative	dissipative	NOUN
ap-1269	191	9	systems	system	NOUN
ap-1269	191	10	.	.	PUNCT
ap-1269	192	1	imperial	imperial	ADJ
ap-1269	192	2	colleges	college	NOUN
ap-1269	192	3	press	press	NOUN
ap-1269	192	4	,	,	PUNCT
ap-1269	192	5	london	london	PROPN
ap-1269	192	6	,	,	PUNCT
ap-1269	192	7	2005	2005	NUM
ap-1269	192	8	.	.	PUNCT
ap-1269	193	1	chruściński	chruściński	PROPN
ap-1269	193	2	,	,	PUNCT
ap-1269	193	3	d.	d.	PROPN
ap-1269	193	4	,	,	PUNCT
ap-1269	193	5	jurkowski	jurkowski	PROPN
ap-1269	193	6	,	,	PUNCT
ap-1269	193	7	j.	j.	PROPN
ap-1269	193	8	:	:	PUNCT
ap-1269	193	9	quantum	quantum	PROPN
ap-1269	193	10	damped	damped	NOUN
ap-1269	193	11	oscillator	oscillator	NOUN
ap-1269	194	1	i	i	NOUN
ap-1269	194	2	:	:	PUNCT
ap-1269	194	3	dissipation	dissipation	NOUN
ap-1269	194	4	and	and	CCONJ
ap-1269	194	5	resonances	resonance	NOUN
ap-1269	194	6	,	,	PUNCT
ap-1269	194	7	ann	ann	PROPN
ap-1269	194	8	.	.	PUNCT
ap-1269	194	9	phys	phys	PROPN
ap-1269	194	10	.	.	PUNCT
ap-1269	195	1	321	321	NUM
ap-1269	195	2	(	(	PUNCT
ap-1269	195	3	2006	2006	NUM
ap-1269	195	4	)	)	PUNCT
ap-1269	195	5	,	,	PUNCT
ap-1269	195	6	854–874	854–874	NUM
ap-1269	195	7	,	,	PUNCT
ap-1269	195	8	quant	quant	NOUN
ap-1269	195	9	-	-	PUNCT
ap-1269	195	10	ph/0506007	ph/0506007	ADJ
ap-1269	195	11	.	.	PUNCT
ap-1269	195	12	gitman	gitman	PROPN
ap-1269	195	13	,	,	PUNCT
ap-1269	195	14	d.	d.	PROPN
ap-1269	195	15	m.	m.	PROPN
ap-1269	195	16	,	,	PUNCT
ap-1269	195	17	kupriyanov	kupriyanov	NOUN
ap-1269	195	18	,	,	PUNCT
ap-1269	195	19	v.	v.	PROPN
ap-1269	195	20	g.	g.	NOUN
ap-1269	195	21	:	:	PUNCT
ap-1269	195	22	canonical	canonical	ADJ
ap-1269	195	23	quantization	quantization	NOUN
ap-1269	195	24	of	of	ADP
ap-1269	195	25	so	so	ADV
ap-1269	195	26	-	-	PUNCT
ap-1269	195	27	called	call	VERB
ap-1269	195	28	non	non	ADJ
ap-1269	195	29	-	-	ADJ
ap-1269	195	30	lagrangian	lagrangian	ADJ
ap-1269	195	31	systems	system	NOUN
ap-1269	195	32	,	,	PUNCT
ap-1269	195	33	eur	eur	PROPN
ap-1269	195	34	.	.	PUNCT
ap-1269	196	1	phys	phy	NOUN
ap-1269	196	2	.	.	PUNCT
ap-1269	197	1	j.	j.	PROPN
ap-1269	197	2	c	c	PROPN
ap-1269	197	3	50	50	NUM
ap-1269	197	4	(	(	PUNCT
ap-1269	197	5	2007	2007	NUM
ap-1269	197	6	)	)	PUNCT
ap-1269	197	7	,	,	PUNCT
ap-1269	197	8	691–700	691–700	NUM
ap-1269	197	9	,	,	PUNCT
ap-1269	197	10	arxiv	arxiv	NOUN
ap-1269	197	11	:	:	PUNCT
ap-1269	197	12	hep	hep	NOUN
ap-1269	197	13	-	-	PUNCT
ap-1269	197	14	th/0605025	th/0605025	PROPN
ap-1269	197	15	.	.	PUNCT
ap-1269	197	16	tarasov	tarasov	NOUN
ap-1269	197	17	,	,	PUNCT
ap-1269	197	18	v.	v.	PROPN
ap-1269	197	19	e.	e.	PROPN
ap-1269	197	20	:	:	PUNCT
ap-1269	197	21	quantum	quantum	ADJ
ap-1269	197	22	mechanics	mechanic	NOUN
ap-1269	197	23	of	of	ADP
ap-1269	197	24	nonhamiltonian	nonhamiltonian	ADJ
ap-1269	197	25	and	and	CCONJ
ap-1269	197	26	dissipative	dissipative	ADJ
ap-1269	197	27	systems	system	NOUN
ap-1269	197	28	.	.	PUNCT
ap-1269	198	1	elsevier	elsevier	PROPN
ap-1269	198	2	science	science	PROPN
ap-1269	198	3	,	,	PUNCT
ap-1269	198	4	2008	2008	NUM
ap-1269	198	5	.	.	PUNCT
ap-1269	199	1	[	[	X
ap-1269	199	2	7	7	NUM
ap-1269	199	3	]	]	X
ap-1269	199	4	caldirola	caldirola	NOUN
ap-1269	199	5	,	,	PUNCT
ap-1269	199	6	p.	p.	NOUN
ap-1269	199	7	:	:	PUNCT
ap-1269	199	8	forze	forze	PROPN
ap-1269	199	9	non	non	PROPN
ap-1269	199	10	conservative	conservative	ADJ
ap-1269	199	11	nella	nella	PROPN
ap-1269	199	12	meccanica	meccanica	PROPN
ap-1269	199	13	quantistica	quantistica	PROPN
ap-1269	199	14	,	,	PUNCT
ap-1269	199	15	nuovo	nuovo	PROPN
ap-1269	199	16	cim	cim	PROPN
ap-1269	199	17	.	.	PROPN
ap-1269	199	18	18	18	NUM
ap-1269	199	19	(	(	PUNCT
ap-1269	199	20	1941	1941	NUM
ap-1269	199	21	)	)	PUNCT
ap-1269	199	22	,	,	PUNCT
ap-1269	199	23	393–400	393–400	NUM
ap-1269	199	24	.	.	PUNCT
ap-1269	200	1	kanai	kanai	PROPN
ap-1269	200	2	,	,	PUNCT
ap-1269	200	3	e.	e.	PROPN
ap-1269	200	4	:	:	PUNCT
ap-1269	200	5	on	on	ADP
ap-1269	200	6	the	the	DET
ap-1269	200	7	quantization	quantization	NOUN
ap-1269	200	8	of	of	ADP
ap-1269	200	9	the	the	DET
ap-1269	200	10	dissipative	dissipative	NOUN
ap-1269	200	11	systems	system	NOUN
ap-1269	200	12	,	,	PUNCT
ap-1269	200	13	prog	prog	NOUN
ap-1269	200	14	.	.	PUNCT
ap-1269	201	1	theor	theor	PROPN
ap-1269	201	2	.	.	PUNCT
ap-1269	202	1	phys	phy	NOUN
ap-1269	202	2	.	.	PUNCT
ap-1269	203	1	3	3	NUM
ap-1269	203	2	(	(	PUNCT
ap-1269	203	3	1948	1948	NUM
ap-1269	203	4	)	)	PUNCT
ap-1269	203	5	,	,	PUNCT
ap-1269	204	1	440–442	440–442	NUM
ap-1269	204	2	.	.	PUNCT
ap-1269	204	3	moreira	moreira	PROPN
ap-1269	204	4	,	,	PUNCT
ap-1269	204	5	i.	i.	PROPN
ap-1269	204	6	c.	c.	PROPN
ap-1269	204	7	:	:	PUNCT
ap-1269	204	8	propagators	propagator	NOUN
ap-1269	204	9	for	for	ADP
ap-1269	204	10	the	the	DET
ap-1269	204	11	caldirolakanai	caldirolakanai	ADJ
ap-1269	204	12	-	-	PUNCT
ap-1269	204	13	schrödinger	schrödinger	NOUN
ap-1269	204	14	equation	equation	NOUN
ap-1269	204	15	,	,	PUNCT
ap-1269	204	16	lett	lett	PROPN
ap-1269	204	17	.	.	PROPN
ap-1269	205	1	nuovo	nuovo	PROPN
ap-1269	205	2	cim	cim	PROPN
ap-1269	205	3	.	.	PROPN
ap-1269	206	1	23	23	NUM
ap-1269	206	2	(	(	PUNCT
ap-1269	206	3	1978	1978	NUM
ap-1269	206	4	)	)	PUNCT
ap-1269	206	5	,	,	PUNCT
ap-1269	206	6	294–298	294–298	NUM
ap-1269	206	7	.	.	PUNCT
ap-1269	207	1	60	60	NUM
ap-1269	207	2	acta	acta	PROPN
ap-1269	207	3	polytechnica	polytechnica	PROPN
ap-1269	207	4	vol	vol	NOUN
ap-1269	207	5	.	.	PUNCT
ap-1269	208	1	50	50	NUM
ap-1269	208	2	no	no	NOUN
ap-1269	208	3	.	.	PUNCT
ap-1269	209	1	5/2010	5/2010	NUM
ap-1269	209	2	jannussis	jannussis	NOUN
ap-1269	209	3	,	,	PUNCT
ap-1269	209	4	a.	a.	PROPN
ap-1269	209	5	d.	d.	PROPN
ap-1269	209	6	,	,	PUNCT
ap-1269	209	7	brodimas	brodimas	PROPN
ap-1269	209	8	,	,	PUNCT
ap-1269	209	9	g.	g.	PROPN
ap-1269	209	10	n.	n.	PROPN
ap-1269	209	11	,	,	PUNCT
ap-1269	209	12	strectlas	strectla	NOUN
ap-1269	209	13	,	,	PUNCT
ap-1269	209	14	a.	a.	NOUN
ap-1269	209	15	:	:	PUNCT
ap-1269	209	16	propagator	propagator	NOUN
ap-1269	209	17	with	with	ADP
ap-1269	209	18	friction	friction	NOUN
ap-1269	209	19	in	in	ADP
ap-1269	209	20	quantum	quantum	ADJ
ap-1269	209	21	mechanics	mechanic	NOUN
ap-1269	209	22	,	,	PUNCT
ap-1269	209	23	phys	phy	NOUN
ap-1269	209	24	.	.	PUNCT
ap-1269	210	1	lett	lett	PROPN
ap-1269	210	2	.	.	PUNCT
ap-1269	211	1	74a	74a	NOUN
ap-1269	211	2	(	(	PUNCT
ap-1269	211	3	1979	1979	NUM
ap-1269	211	4	)	)	PUNCT
ap-1269	211	5	,	,	PUNCT
ap-1269	211	6	6–10	6–10	NOUN
ap-1269	211	7	.	.	PUNCT
ap-1269	212	1	das	das	PROPN
ap-1269	212	2	,	,	PUNCT
ap-1269	212	3	u.	u.	PROPN
ap-1269	212	4	,	,	PUNCT
ap-1269	212	5	ghosh	ghosh	PROPN
ap-1269	212	6	,	,	PUNCT
ap-1269	212	7	s.	s.	PROPN
ap-1269	212	8	,	,	PUNCT
ap-1269	212	9	sarkar	sarkar	PROPN
ap-1269	212	10	,	,	PUNCT
ap-1269	212	11	p.	p.	NOUN
ap-1269	212	12	,	,	PUNCT
ap-1269	212	13	talukdar	talukdar	NOUN
ap-1269	212	14	,	,	PUNCT
ap-1269	212	15	b.	b.	NOUN
ap-1269	212	16	:	:	PUNCT
ap-1269	212	17	quantization	quantization	NOUN
ap-1269	212	18	of	of	ADP
ap-1269	212	19	dissipative	dissipative	ADJ
ap-1269	212	20	systems	system	NOUN
ap-1269	212	21	with	with	ADP
ap-1269	212	22	friction	friction	NOUN
ap-1269	212	23	linear	linear	NOUN
ap-1269	212	24	in	in	ADP
ap-1269	212	25	velocity	velocity	NOUN
ap-1269	212	26	,	,	PUNCT
ap-1269	212	27	physica	physica	NOUN
ap-1269	212	28	scripta	scripta	PROPN
ap-1269	212	29	71	71	NUM
ap-1269	212	30	(	(	PUNCT
ap-1269	212	31	2005	2005	NUM
ap-1269	212	32	)	)	PUNCT
ap-1269	212	33	,	,	PUNCT
ap-1269	212	34	235–237	235–237	NUM
ap-1269	212	35	.	.	PUNCT
ap-1269	213	1	mgr	mgr	PROPN
ap-1269	213	2	.	.	PUNCT
ap-1269	214	1	denis	denis	PROPN
ap-1269	214	2	kochan	kochan	PROPN
ap-1269	214	3	,	,	PUNCT
ap-1269	214	4	ph.d	ph.d	PROPN
ap-1269	214	5	.	.	PUNCT
ap-1269	215	1	e	e	X
ap-1269	215	2	-	-	NOUN
ap-1269	215	3	mail	mail	NOUN
ap-1269	215	4	:	:	PUNCT
ap-1269	215	5	kochan@fmph.uniba.sk	kochan@fmph.uniba.sk	PROPN
ap-1269	215	6	department	department	PROPN
ap-1269	215	7	of	of	ADP
ap-1269	215	8	theoretical	theoretical	ADJ
ap-1269	215	9	physics	physics	NOUN
ap-1269	215	10	fmfi	fmfi	NOUN
ap-1269	215	11	,	,	PUNCT
ap-1269	215	12	comenius	comenius	ADJ
ap-1269	215	13	university	university	NOUN
ap-1269	215	14	842	842	NUM
ap-1269	215	15	48	48	NUM
ap-1269	215	16	bratislava	bratislava	NOUN
ap-1269	215	17	,	,	PUNCT
ap-1269	215	18	slovakia	slovakia	PROPN
ap-1269	215	19	61	61	NUM