id	sid	tid	token	lemma	pos
ap-1414	1	1	acta	acta	PROPN
ap-1414	1	2	polytechnica	polytechnica	PROPN
ap-1414	1	3	vol	vol	NOUN
ap-1414	1	4	.	.	PUNCT
ap-1414	2	1	51	51	NUM
ap-1414	2	2	no	no	INTJ
ap-1414	2	3	.	.	PUNCT
ap-1414	3	1	4/2011	4/2011	NUM
ap-1414	3	2	path	path	NOUN
ap-1414	3	3	integrals	integral	NOUN
ap-1414	3	4	for	for	ADP
ap-1414	3	5	(	(	PUNCT
ap-1414	3	6	complex	complex	ADJ
ap-1414	3	7	)	)	PUNCT
ap-1414	3	8	classical	classical	ADJ
ap-1414	3	9	and	and	CCONJ
ap-1414	3	10	quantum	quantum	NOUN
ap-1414	3	11	mechanics	mechanic	NOUN
ap-1414	3	12	r.	r.	PROPN
ap-1414	3	13	j.	j.	PROPN
ap-1414	3	14	rivers	rivers	PROPN
ap-1414	3	15	abstract	abstract	VERB
ap-1414	3	16	an	an	DET
ap-1414	3	17	analysis	analysis	NOUN
ap-1414	3	18	of	of	ADP
ap-1414	3	19	classical	classical	ADJ
ap-1414	3	20	mechanics	mechanic	NOUN
ap-1414	3	21	in	in	ADP
ap-1414	3	22	a	a	DET
ap-1414	3	23	complex	complex	ADJ
ap-1414	3	24	extension	extension	NOUN
ap-1414	3	25	of	of	ADP
ap-1414	3	26	phase	phase	NOUN
ap-1414	3	27	space	space	NOUN
ap-1414	3	28	shows	show	VERB
ap-1414	3	29	that	that	SCONJ
ap-1414	3	30	a	a	DET
ap-1414	3	31	particle	particle	NOUN
ap-1414	3	32	in	in	ADP
ap-1414	3	33	such	such	DET
ap-1414	3	34	a	a	DET
ap-1414	3	35	space	space	NOUN
ap-1414	3	36	can	can	AUX
ap-1414	3	37	behave	behave	VERB
ap-1414	3	38	in	in	ADP
ap-1414	3	39	a	a	DET
ap-1414	3	40	way	way	NOUN
ap-1414	3	41	redolent	redolent	NOUN
ap-1414	3	42	of	of	ADP
ap-1414	3	43	quantum	quantum	ADJ
ap-1414	3	44	mechanics	mechanic	NOUN
ap-1414	3	45	;	;	PUNCT
ap-1414	3	46	additional	additional	ADJ
ap-1414	3	47	dimensions	dimension	NOUN
ap-1414	3	48	permit	permit	VERB
ap-1414	3	49	‘	'	PUNCT
ap-1414	3	50	tunnelling	tunnelling	NOUN
ap-1414	3	51	’	'	PUNCT
ap-1414	3	52	without	without	ADP
ap-1414	3	53	recourse	recourse	NOUN
ap-1414	3	54	to	to	ADP
ap-1414	3	55	instantons	instanton	NOUN
ap-1414	3	56	and	and	CCONJ
ap-1414	3	57	time	time	NOUN
ap-1414	3	58	/	/	SYM
ap-1414	3	59	energy	energy	NOUN
ap-1414	3	60	uncertainties	uncertainty	NOUN
ap-1414	3	61	exist	exist	VERB
ap-1414	3	62	.	.	PUNCT
ap-1414	4	1	in	in	ADP
ap-1414	4	2	practice	practice	NOUN
ap-1414	4	3	,	,	PUNCT
ap-1414	4	4	‘	'	PUNCT
ap-1414	4	5	classical	classical	ADJ
ap-1414	4	6	’	'	PUNCT
ap-1414	4	7	particle	particle	NOUN
ap-1414	4	8	trajectories	trajectory	NOUN
ap-1414	4	9	with	with	ADP
ap-1414	4	10	additional	additional	ADJ
ap-1414	4	11	degrees	degree	NOUN
ap-1414	4	12	of	of	ADP
ap-1414	4	13	freedom	freedom	NOUN
ap-1414	4	14	arise	arise	NOUN
ap-1414	4	15	in	in	ADP
ap-1414	4	16	several	several	ADJ
ap-1414	4	17	different	different	ADJ
ap-1414	4	18	formulations	formulation	NOUN
ap-1414	4	19	of	of	ADP
ap-1414	4	20	quantum	quantum	ADJ
ap-1414	4	21	mechanics	mechanic	NOUN
ap-1414	4	22	.	.	PUNCT
ap-1414	5	1	in	in	ADP
ap-1414	5	2	this	this	DET
ap-1414	5	3	talk	talk	NOUN
ap-1414	5	4	we	we	PRON
ap-1414	5	5	compare	compare	VERB
ap-1414	5	6	the	the	DET
ap-1414	5	7	extended	extended	ADJ
ap-1414	5	8	phase	phase	NOUN
ap-1414	5	9	space	space	NOUN
ap-1414	5	10	of	of	ADP
ap-1414	5	11	the	the	DET
ap-1414	5	12	closed	closed	ADJ
ap-1414	5	13	time	time	NOUN
ap-1414	5	14	-	-	PUNCT
ap-1414	5	15	path	path	NOUN
ap-1414	5	16	formalism	formalism	NOUN
ap-1414	5	17	with	with	ADP
ap-1414	5	18	that	that	PRON
ap-1414	5	19	of	of	ADP
ap-1414	5	20	complex	complex	ADJ
ap-1414	5	21	classical	classical	ADJ
ap-1414	5	22	mechanics	mechanic	NOUN
ap-1414	5	23	,	,	PUNCT
ap-1414	5	24	to	to	PART
ap-1414	5	25	suggest	suggest	VERB
ap-1414	5	26	that	that	SCONJ
ap-1414	5	27	h̄	h̄	NOUN
ap-1414	5	28	has	have	VERB
ap-1414	5	29	a	a	DET
ap-1414	5	30	role	role	NOUN
ap-1414	5	31	in	in	ADP
ap-1414	5	32	our	our	PRON
ap-1414	5	33	understanding	understanding	NOUN
ap-1414	5	34	of	of	ADP
ap-1414	5	35	the	the	DET
ap-1414	5	36	latter	latter	ADJ
ap-1414	5	37	.	.	PUNCT
ap-1414	6	1	however	however	ADV
ap-1414	6	2	,	,	PUNCT
ap-1414	6	3	differences	difference	NOUN
ap-1414	6	4	in	in	ADP
ap-1414	6	5	the	the	DET
ap-1414	6	6	way	way	NOUN
ap-1414	6	7	that	that	PRON
ap-1414	6	8	trajectories	trajectory	NOUN
ap-1414	6	9	are	be	AUX
ap-1414	6	10	used	use	VERB
ap-1414	6	11	make	make	VERB
ap-1414	6	12	a	a	DET
ap-1414	6	13	deeper	deep	ADJ
ap-1414	6	14	comparison	comparison	NOUN
ap-1414	6	15	problematical	problematical	ADJ
ap-1414	6	16	.	.	PUNCT
ap-1414	7	1	we	we	PRON
ap-1414	7	2	conclude	conclude	VERB
ap-1414	7	3	with	with	ADP
ap-1414	7	4	some	some	DET
ap-1414	7	5	thoughts	thought	NOUN
ap-1414	7	6	on	on	ADP
ap-1414	7	7	quantisation	quantisation	NOUN
ap-1414	7	8	as	as	ADP
ap-1414	7	9	dimensional	dimensional	ADJ
ap-1414	7	10	reduction	reduction	NOUN
ap-1414	7	11	.	.	PUNCT
ap-1414	8	1	keywords	keyword	NOUN
ap-1414	8	2	:	:	PUNCT
ap-1414	8	3	phase	phase	NOUN
ap-1414	8	4	space	space	NOUN
ap-1414	8	5	,	,	PUNCT
ap-1414	8	6	path	path	NOUN
ap-1414	8	7	integral	integral	ADJ
ap-1414	8	8	,	,	PUNCT
ap-1414	8	9	complex	complex	ADJ
ap-1414	8	10	classical	classical	ADJ
ap-1414	8	11	physics	physics	NOUN
ap-1414	8	12	.	.	PUNCT
ap-1414	9	1	1	1	NUM
ap-1414	9	2	introduction	introduction	NOUN
ap-1414	9	3	it	it	PRON
ap-1414	9	4	has	have	AUX
ap-1414	9	5	been	be	AUX
ap-1414	9	6	argued	argue	VERB
ap-1414	9	7	recently	recently	ADV
ap-1414	9	8	,	,	PUNCT
ap-1414	9	9	in	in	ADP
ap-1414	9	10	a	a	DET
ap-1414	9	11	series	series	NOUN
ap-1414	9	12	of	of	ADP
ap-1414	9	13	papers	paper	NOUN
ap-1414	9	14	by	by	ADP
ap-1414	9	15	carl	carl	PROPN
ap-1414	9	16	bender	bender	PROPN
ap-1414	9	17	and	and	CCONJ
ap-1414	9	18	collaborators	collaborator	NOUN
ap-1414	10	1	[	[	X
ap-1414	10	2	1–3	1–3	NOUN
ap-1414	10	3	]	]	X
ap-1414	10	4	,	,	PUNCT
ap-1414	10	5	that	that	SCONJ
ap-1414	10	6	classical	classical	ADJ
ap-1414	10	7	mechanics	mechanic	NOUN
ap-1414	10	8	in	in	ADP
ap-1414	10	9	a	a	DET
ap-1414	10	10	complex	complex	ADJ
ap-1414	10	11	extension	extension	NOUN
ap-1414	10	12	of	of	ADP
ap-1414	10	13	phase	phase	NOUN
ap-1414	10	14	space	space	NOUN
ap-1414	10	15	has	have	VERB
ap-1414	10	16	some	some	DET
ap-1414	10	17	attributes	attribute	NOUN
ap-1414	10	18	of	of	ADP
ap-1414	10	19	quantum	quantum	NOUN
ap-1414	10	20	mechanics	mechanic	NOUN
ap-1414	10	21	.	.	PUNCT
ap-1414	11	1	with	with	ADP
ap-1414	11	2	these	these	DET
ap-1414	11	3	additional	additional	ADJ
ap-1414	11	4	dimensions	dimension	NOUN
ap-1414	11	5	,	,	PUNCT
ap-1414	11	6	particles	particle	NOUN
ap-1414	11	7	can	can	AUX
ap-1414	11	8	negotiate	negotiate	VERB
ap-1414	11	9	otherwise	otherwise	ADV
ap-1414	11	10	impenetrable	impenetrable	ADJ
ap-1414	11	11	classical	classical	ADJ
ap-1414	11	12	hills	hill	NOUN
ap-1414	11	13	,	,	PUNCT
ap-1414	11	14	enabling	enable	VERB
ap-1414	11	15	them	they	PRON
ap-1414	11	16	to	to	PART
ap-1414	11	17	move	move	VERB
ap-1414	11	18	from	from	ADP
ap-1414	11	19	one	one	NUM
ap-1414	11	20	potential	potential	NOUN
ap-1414	11	21	well	well	ADV
ap-1414	11	22	to	to	ADP
ap-1414	11	23	another	another	PRON
ap-1414	11	24	as	as	ADP
ap-1414	11	25	an	an	DET
ap-1414	11	26	alternative	alternative	NOUN
ap-1414	11	27	to	to	ADP
ap-1414	11	28	quantum	quantum	ADJ
ap-1414	11	29	tunnelling	tunnelling	NOUN
ap-1414	11	30	.	.	PUNCT
ap-1414	12	1	however	however	ADV
ap-1414	12	2	,	,	PUNCT
ap-1414	12	3	the	the	DET
ap-1414	12	4	discussion	discussion	NOUN
ap-1414	12	5	has	have	AUX
ap-1414	12	6	now	now	ADV
ap-1414	12	7	gone	go	VERB
ap-1414	12	8	beyond	beyond	ADP
ap-1414	12	9	the	the	DET
ap-1414	12	10	mere	mere	ADJ
ap-1414	12	11	cataloguing	cataloguing	NOUN
ap-1414	12	12	of	of	ADP
ap-1414	12	13	these	these	DET
ap-1414	12	14	qualitative	qualitative	ADJ
ap-1414	12	15	similarities	similarity	NOUN
ap-1414	12	16	,	,	PUNCT
ap-1414	12	17	to	to	ADP
ap-1414	12	18	suggesting	suggest	VERB
ap-1414	12	19	that	that	SCONJ
ap-1414	12	20	we	we	PRON
ap-1414	12	21	are	be	AUX
ap-1414	12	22	seeing	see	VERB
ap-1414	12	23	behaviour	behaviour	NOUN
ap-1414	12	24	that	that	PRON
ap-1414	12	25	can	can	AUX
ap-1414	12	26	approximate	approximate	VERB
ap-1414	12	27	the	the	DET
ap-1414	12	28	probabilistic	probabilistic	ADJ
ap-1414	12	29	results	result	NOUN
ap-1414	12	30	of	of	ADP
ap-1414	12	31	quantum	quantum	ADJ
ap-1414	12	32	mechanics	mechanic	NOUN
ap-1414	12	33	quantitatively	quantitatively	ADV
ap-1414	12	34	[	[	X
ap-1414	12	35	3	3	NUM
ap-1414	12	36	]	]	PUNCT
ap-1414	12	37	.	.	PUNCT
ap-1414	13	1	although	although	SCONJ
ap-1414	13	2	the	the	DET
ap-1414	13	3	emphasis	emphasis	NOUN
ap-1414	13	4	has	have	AUX
ap-1414	13	5	been	be	AUX
ap-1414	13	6	on	on	ADP
ap-1414	13	7	mimicking	mimic	VERB
ap-1414	13	8	h̄-independent	h̄-independent	NOUN
ap-1414	13	9	probability	probability	NOUN
ap-1414	13	10	ratios	ratio	NOUN
ap-1414	13	11	,	,	PUNCT
ap-1414	13	12	for	for	SCONJ
ap-1414	13	13	this	this	DET
ap-1414	13	14	procedure	procedure	NOUN
ap-1414	13	15	to	to	PART
ap-1414	13	16	be	be	AUX
ap-1414	13	17	sensible	sensible	ADJ
ap-1414	13	18	h̄	h̄	NOUN
ap-1414	13	19	must	must	AUX
ap-1414	13	20	be	be	AUX
ap-1414	13	21	implicit	implicit	ADJ
ap-1414	13	22	in	in	ADP
ap-1414	13	23	the	the	DET
ap-1414	13	24	analysis	analysis	NOUN
ap-1414	13	25	,	,	PUNCT
ap-1414	13	26	since	since	SCONJ
ap-1414	13	27	the	the	DET
ap-1414	13	28	formalism	formalism	NOUN
ap-1414	13	29	of	of	ADP
ap-1414	13	30	complex	complex	ADJ
ap-1414	13	31	classical	classical	ADJ
ap-1414	13	32	mechanics	mechanic	NOUN
ap-1414	13	33	can	can	AUX
ap-1414	13	34	not	not	PART
ap-1414	13	35	,	,	PUNCT
ap-1414	13	36	of	of	ADP
ap-1414	13	37	itself	itself	PRON
ap-1414	13	38	,	,	PUNCT
ap-1414	13	39	distinguish	distinguish	VERB
ap-1414	13	40	between	between	ADP
ap-1414	13	41	quantum	quantum	NOUN
ap-1414	13	42	(	(	PUNCT
ap-1414	13	43	action	action	NOUN
ap-1414	13	44	o(h̄	o(h̄	NOUN
ap-1414	13	45	)	)	PUNCT
ap-1414	13	46	)	)	PUNCT
ap-1414	13	47	systems	system	NOUN
ap-1414	13	48	and	and	CCONJ
ap-1414	13	49	classical	classical	ADJ
ap-1414	13	50	systems	system	NOUN
ap-1414	13	51	(	(	PUNCT
ap-1414	13	52	action	action	NOUN
ap-1414	13	53	o(h̄0	o(h̄0	NOUN
ap-1414	13	54	)	)	PUNCT
ap-1414	13	55	)	)	PUNCT
ap-1414	13	56	.	.	PUNCT
ap-1414	14	1	in	in	ADP
ap-1414	14	2	fact	fact	NOUN
ap-1414	14	3	,	,	PUNCT
ap-1414	14	4	should	should	AUX
ap-1414	14	5	there	there	PRON
ap-1414	14	6	be	be	AUX
ap-1414	14	7	any	any	DET
ap-1414	14	8	relationship	relationship	NOUN
ap-1414	14	9	between	between	ADP
ap-1414	14	10	complex	complex	ADJ
ap-1414	14	11	classical	classical	ADJ
ap-1414	14	12	mechanics	mechanic	NOUN
ap-1414	14	13	and	and	CCONJ
ap-1414	14	14	quantum	quantum	NOUN
ap-1414	14	15	mechanics	mechanic	NOUN
ap-1414	14	16	,	,	PUNCT
ap-1414	14	17	there	there	PRON
ap-1414	14	18	is	be	VERB
ap-1414	14	19	a	a	DET
ap-1414	14	20	strong	strong	ADJ
ap-1414	14	21	hint	hint	NOUN
ap-1414	14	22	as	as	ADP
ap-1414	14	23	to	to	ADP
ap-1414	14	24	how	how	SCONJ
ap-1414	14	25	this	this	PRON
ap-1414	14	26	must	must	AUX
ap-1414	14	27	happen	happen	VERB
ap-1414	14	28	,	,	PUNCT
ap-1414	14	29	since	since	SCONJ
ap-1414	14	30	the	the	DET
ap-1414	14	31	tunnelling	tunnelling	NOUN
ap-1414	14	32	complies	complie	NOUN
ap-1414	14	33	with	with	ADP
ap-1414	14	34	time	time	NOUN
ap-1414	14	35	/	/	SYM
ap-1414	14	36	energy	energy	NOUN
ap-1414	14	37	uncertainty	uncertainty	NOUN
ap-1414	14	38	relations	relation	NOUN
ap-1414	14	39	[	[	X
ap-1414	14	40	1	1	NUM
ap-1414	14	41	]	]	PUNCT
ap-1414	14	42	,	,	PUNCT
ap-1414	14	43	albeit	albeit	SCONJ
ap-1414	14	44	with	with	SCONJ
ap-1414	14	45	no	no	DET
ap-1414	14	46	h̄	h̄	NOUN
ap-1414	14	47	visible	visible	ADJ
ap-1414	14	48	.	.	PUNCT
ap-1414	15	1	on	on	ADP
ap-1414	15	2	the	the	DET
ap-1414	15	3	other	other	ADJ
ap-1414	15	4	hand	hand	NOUN
ap-1414	15	5	,	,	PUNCT
ap-1414	15	6	if	if	SCONJ
ap-1414	15	7	we	we	PRON
ap-1414	15	8	adopt	adopt	VERB
ap-1414	15	9	the	the	DET
ap-1414	15	10	contrary	contrary	ADJ
ap-1414	15	11	position	position	NOUN
ap-1414	15	12	of	of	ADP
ap-1414	15	13	extending	extend	VERB
ap-1414	15	14	(	(	PUNCT
ap-1414	15	15	real	real	ADJ
ap-1414	15	16	)	)	PUNCT
ap-1414	15	17	classical	classical	ADJ
ap-1414	15	18	behaviour	behaviour	NOUN
ap-1414	15	19	to	to	ADP
ap-1414	15	20	quantum	quantum	ADJ
ap-1414	15	21	mechanical	mechanical	ADJ
ap-1414	15	22	behaviour	behaviour	NOUN
ap-1414	15	23	,	,	PUNCT
ap-1414	15	24	it	it	PRON
ap-1414	15	25	is	be	AUX
ap-1414	15	26	well	well	ADV
ap-1414	15	27	-	-	PUNCT
ap-1414	15	28	known	know	VERB
ap-1414	15	29	that	that	SCONJ
ap-1414	15	30	there	there	PRON
ap-1414	15	31	are	be	VERB
ap-1414	15	32	several	several	ADJ
ap-1414	15	33	different	different	ADJ
ap-1414	15	34	ways	way	NOUN
ap-1414	15	35	in	in	ADP
ap-1414	15	36	which	which	PRON
ap-1414	15	37	classical	classical	ADJ
ap-1414	15	38	or	or	CCONJ
ap-1414	15	39	‘	'	PUNCT
ap-1414	15	40	quasi	quasi	ADJ
ap-1414	15	41	-	-	ADJ
ap-1414	15	42	classical	classical	ADJ
ap-1414	15	43	’	'	PUNCT
ap-1414	15	44	paths	path	NOUN
ap-1414	15	45	can	can	AUX
ap-1414	15	46	arise	arise	VERB
ap-1414	15	47	in	in	ADP
ap-1414	15	48	the	the	DET
ap-1414	15	49	formulation	formulation	NOUN
ap-1414	15	50	of	of	ADP
ap-1414	15	51	quantum	quantum	NOUN
ap-1414	15	52	dynamics	dynamic	NOUN
ap-1414	15	53	,	,	PUNCT
ap-1414	15	54	for	for	ADP
ap-1414	15	55	which	which	PRON
ap-1414	15	56	the	the	DET
ap-1414	15	57	role	role	NOUN
ap-1414	15	58	of	of	ADP
ap-1414	15	59	h̄	h̄	NOUN
ap-1414	15	60	is	be	AUX
ap-1414	15	61	clear	clear	ADJ
ap-1414	15	62	.	.	PUNCT
ap-1414	16	1	in	in	ADP
ap-1414	16	2	particular	particular	ADJ
ap-1414	16	3	,	,	PUNCT
ap-1414	16	4	we	we	PRON
ap-1414	16	5	are	be	AUX
ap-1414	16	6	interested	interested	ADJ
ap-1414	16	7	in	in	ADP
ap-1414	16	8	what	what	PRON
ap-1414	16	9	we	we	PRON
ap-1414	16	10	might	might	AUX
ap-1414	16	11	term	term	VERB
ap-1414	16	12	a	a	DET
ap-1414	16	13	moyal	moyal	ADJ
ap-1414	16	14	path	path	NOUN
ap-1414	16	15	integral	integral	ADJ
ap-1414	16	16	approach	approach	NOUN
ap-1414	16	17	which	which	PRON
ap-1414	16	18	(	(	PUNCT
ap-1414	16	19	in	in	ADP
ap-1414	16	20	co	co	ADJ
ap-1414	16	21	-	-	ADJ
ap-1414	16	22	ordinate	ordinate	ADJ
ap-1414	16	23	space	space	NOUN
ap-1414	16	24	)	)	PUNCT
ap-1414	16	25	reduces	reduce	VERB
ap-1414	16	26	to	to	ADP
ap-1414	16	27	the	the	DET
ap-1414	16	28	feynman	feynman	PROPN
ap-1414	16	29	-	-	PUNCT
ap-1414	16	30	vernon	vernon	PROPN
ap-1414	16	31	closed	close	VERB
ap-1414	16	32	timepath	timepath	NOUN
ap-1414	16	33	approach	approach	NOUN
ap-1414	16	34	[	[	X
ap-1414	16	35	4	4	X
ap-1414	16	36	]	]	PUNCT
ap-1414	16	37	for	for	ADP
ap-1414	16	38	the	the	DET
ap-1414	16	39	evolution	evolution	NOUN
ap-1414	16	40	of	of	ADP
ap-1414	16	41	density	density	NOUN
ap-1414	16	42	matrices	matrix	NOUN
ap-1414	16	43	,	,	PUNCT
ap-1414	16	44	familiar	familiar	ADJ
ap-1414	16	45	in	in	ADP
ap-1414	16	46	the	the	DET
ap-1414	16	47	analysis	analysis	NOUN
ap-1414	16	48	of	of	ADP
ap-1414	16	49	decoherence	decoherence	NOUN
ap-1414	16	50	.	.	PUNCT
ap-1414	17	1	in	in	ADP
ap-1414	17	2	fact	fact	NOUN
ap-1414	17	3	,	,	PUNCT
ap-1414	17	4	it	it	PRON
ap-1414	17	5	was	be	AUX
ap-1414	17	6	the	the	DET
ap-1414	17	7	use	use	NOUN
ap-1414	17	8	of	of	ADP
ap-1414	17	9	classical	classical	ADJ
ap-1414	17	10	trajectories	trajectory	NOUN
ap-1414	17	11	by	by	ADP
ap-1414	17	12	the	the	DET
ap-1414	17	13	author	author	NOUN
ap-1414	17	14	[	[	X
ap-1414	17	15	5,6	5,6	NUM
ap-1414	17	16	]	]	PUNCT
ap-1414	17	17	to	to	PART
ap-1414	17	18	approximate	approximate	VERB
ap-1414	17	19	the	the	DET
ap-1414	17	20	evolution	evolution	NOUN
ap-1414	17	21	of	of	ADP
ap-1414	17	22	the	the	DET
ap-1414	17	23	quantum	quantum	ADJ
ap-1414	17	24	density	density	NOUN
ap-1414	17	25	matrix	matrix	NOUN
ap-1414	17	26	that	that	PRON
ap-1414	17	27	provoked	provoke	VERB
ap-1414	17	28	this	this	DET
ap-1414	17	29	talk	talk	NOUN
ap-1414	17	30	.	.	PUNCT
ap-1414	18	1	in	in	ADP
ap-1414	18	2	this	this	DET
ap-1414	18	3	commentary	commentary	NOUN
ap-1414	18	4	we	we	PRON
ap-1414	18	5	shall	shall	AUX
ap-1414	18	6	contrast	contrast	VERB
ap-1414	18	7	the	the	DET
ap-1414	18	8	quasi	quasi	ADJ
ap-1414	18	9	-	-	ADJ
ap-1414	18	10	classical	classical	ADJ
ap-1414	18	11	paths	path	NOUN
ap-1414	18	12	of	of	ADP
ap-1414	18	13	this	this	DET
ap-1414	18	14	moyal	moyal	ADJ
ap-1414	18	15	formalism	formalism	NOUN
ap-1414	18	16	to	to	ADP
ap-1414	18	17	the	the	DET
ap-1414	18	18	classical	classical	ADJ
ap-1414	18	19	paths	path	NOUN
ap-1414	18	20	in	in	ADP
ap-1414	18	21	complex	complex	ADJ
ap-1414	18	22	phase	phase	NOUN
ap-1414	18	23	-	-	PUNCT
ap-1414	18	24	space	space	NOUN
ap-1414	18	25	,	,	PUNCT
ap-1414	18	26	in	in	ADP
ap-1414	18	27	each	each	DET
ap-1414	18	28	case	case	NOUN
ap-1414	18	29	the	the	DET
ap-1414	18	30	solutions	solution	NOUN
ap-1414	18	31	to	to	ADP
ap-1414	18	32	a	a	DET
ap-1414	18	33	constrained	constrain	VERB
ap-1414	18	34	hamiltonian	hamiltonian	ADJ
ap-1414	18	35	system	system	NOUN
ap-1414	18	36	.	.	PUNCT
ap-1414	19	1	for	for	ADP
ap-1414	19	2	reasons	reason	NOUN
ap-1414	19	3	that	that	PRON
ap-1414	19	4	will	will	AUX
ap-1414	19	5	rapidly	rapidly	ADV
ap-1414	19	6	become	become	VERB
ap-1414	19	7	clear	clear	ADJ
ap-1414	19	8	,	,	PUNCT
ap-1414	19	9	we	we	PRON
ap-1414	19	10	shall	shall	AUX
ap-1414	19	11	initially	initially	ADV
ap-1414	19	12	restrict	restrict	VERB
ap-1414	19	13	ourselves	ourselves	PRON
ap-1414	19	14	to	to	ADP
ap-1414	19	15	hermitian	hermitian	ADJ
ap-1414	19	16	hamiltonians	hamiltonian	NOUN
ap-1414	19	17	,	,	PUNCT
ap-1414	19	18	even	even	ADV
ap-1414	19	19	though	though	SCONJ
ap-1414	19	20	part	part	NOUN
ap-1414	19	21	of	of	ADP
ap-1414	19	22	the	the	DET
ap-1414	19	23	original	original	ADJ
ap-1414	19	24	motivation	motivation	NOUN
ap-1414	19	25	for	for	ADP
ap-1414	19	26	considering	consider	VERB
ap-1414	19	27	complex	complex	ADJ
ap-1414	19	28	phase	phase	NOUN
ap-1414	19	29	space	space	NOUN
ap-1414	19	30	was	be	AUX
ap-1414	19	31	to	to	PART
ap-1414	19	32	accommodate	accommodate	VERB
ap-1414	19	33	pseudo	pseudo	NOUN
ap-1414	19	34	-	-	ADJ
ap-1414	19	35	hermitian	hermitian	ADJ
ap-1414	19	36	hamiltonians	hamiltonian	NOUN
ap-1414	19	37	which	which	PRON
ap-1414	19	38	,	,	PUNCT
ap-1414	19	39	by	by	ADP
ap-1414	19	40	virtue	virtue	NOUN
ap-1414	19	41	of	of	ADP
ap-1414	19	42	pt	pt	NOUN
ap-1414	19	43	-	-	PUNCT
ap-1414	19	44	symmetry	symmetry	NOUN
ap-1414	19	45	,	,	PUNCT
ap-1414	19	46	had	have	VERB
ap-1414	19	47	real	real	ADJ
ap-1414	19	48	spectra	spectra	NOUN
ap-1414	19	49	.	.	PUNCT
ap-1414	20	1	there	there	PRON
ap-1414	20	2	is	be	VERB
ap-1414	20	3	a	a	DET
ap-1414	20	4	huge	huge	ADJ
ap-1414	20	5	literature	literature	NOUN
ap-1414	20	6	on	on	ADP
ap-1414	20	7	this	this	DET
ap-1414	20	8	field	field	NOUN
ap-1414	20	9	,	,	PUNCT
ap-1414	20	10	and	and	CCONJ
ap-1414	20	11	we	we	PRON
ap-1414	20	12	would	would	AUX
ap-1414	20	13	cite	cite	VERB
ap-1414	20	14	[	[	X
ap-1414	20	15	7–9	7–9	X
ap-1414	20	16	]	]	X
ap-1414	20	17	as	as	ADP
ap-1414	20	18	exemplary	exemplary	ADJ
ap-1414	20	19	.	.	PUNCT
ap-1414	21	1	in	in	ADP
ap-1414	21	2	the	the	DET
ap-1414	21	3	next	next	ADJ
ap-1414	21	4	two	two	NUM
ap-1414	21	5	sections	section	NOUN
ap-1414	21	6	we	we	PRON
ap-1414	21	7	introduce	introduce	VERB
ap-1414	21	8	path	path	NOUN
ap-1414	21	9	integrals	integral	NOUN
ap-1414	21	10	for	for	ADP
ap-1414	21	11	real	real	ADJ
ap-1414	21	12	classical	classical	ADJ
ap-1414	21	13	mechanics	mechanic	NOUN
ap-1414	21	14	,	,	PUNCT
ap-1414	21	15	as	as	SCONJ
ap-1414	21	16	developed	develop	VERB
ap-1414	21	17	by	by	ADP
ap-1414	21	18	gozzi	gozzi	NOUN
ap-1414	21	19	over	over	ADP
ap-1414	21	20	several	several	ADJ
ap-1414	21	21	years	year	NOUN
ap-1414	22	1	[	[	X
ap-1414	22	2	10–12	10–12	NUM
ap-1414	22	3	]	]	PUNCT
ap-1414	22	4	and	and	CCONJ
ap-1414	22	5	show	show	VERB
ap-1414	22	6	how	how	SCONJ
ap-1414	22	7	the	the	DET
ap-1414	22	8	moyal	moyal	ADJ
ap-1414	22	9	path	path	NOUN
ap-1414	22	10	integrals	integral	NOUN
ap-1414	22	11	for	for	ADP
ap-1414	22	12	quantum	quantum	ADJ
ap-1414	22	13	mechanical	mechanical	ADJ
ap-1414	22	14	systems	system	NOUN
ap-1414	22	15	evolve	evolve	VERB
ap-1414	22	16	naturally	naturally	ADV
ap-1414	22	17	from	from	ADP
ap-1414	22	18	them	they	PRON
ap-1414	22	19	,	,	PUNCT
ap-1414	22	20	as	as	SCONJ
ap-1414	22	21	originally	originally	ADV
ap-1414	22	22	proposed	propose	VERB
ap-1414	22	23	by	by	ADP
ap-1414	22	24	marinov	marinov	NOUN
ap-1414	23	1	[	[	X
ap-1414	23	2	13	13	NUM
ap-1414	23	3	]	]	PUNCT
ap-1414	23	4	and	and	CCONJ
ap-1414	23	5	gozzi	gozzi	VERB
ap-1414	23	6	[	[	X
ap-1414	23	7	14	14	NUM
ap-1414	23	8	,	,	PUNCT
ap-1414	23	9	15	15	NUM
ap-1414	23	10	]	]	PUNCT
ap-1414	23	11	.	.	PUNCT
ap-1414	24	1	we	we	PRON
ap-1414	24	2	show	show	VERB
ap-1414	24	3	that	that	SCONJ
ap-1414	24	4	the	the	DET
ap-1414	24	5	dynamics	dynamic	NOUN
ap-1414	24	6	of	of	ADP
ap-1414	24	7	the	the	DET
ap-1414	24	8	quasi	quasi	ADJ
ap-1414	24	9	-	-	ADJ
ap-1414	24	10	classical	classical	ADJ
ap-1414	24	11	trajectories	trajectory	NOUN
ap-1414	24	12	that	that	PRON
ap-1414	24	13	provide	provide	VERB
ap-1414	24	14	the	the	DET
ap-1414	24	15	mean	mean	ADJ
ap-1414	24	16	-	-	PUNCT
ap-1414	24	17	field	field	NOUN
ap-1414	24	18	approximation	approximation	NOUN
ap-1414	24	19	to	to	ADP
ap-1414	24	20	this	this	DET
ap-1414	24	21	quantum	quantum	ADJ
ap-1414	24	22	system	system	NOUN
ap-1414	24	23	has	have	VERB
ap-1414	24	24	the	the	DET
ap-1414	24	25	same	same	ADJ
ap-1414	24	26	symplectic	symplectic	ADJ
ap-1414	24	27	structure	structure	NOUN
ap-1414	24	28	as	as	ADP
ap-1414	24	29	the	the	DET
ap-1414	24	30	trajectories	trajectory	NOUN
ap-1414	24	31	of	of	ADP
ap-1414	24	32	complex	complex	ADJ
ap-1414	24	33	classical	classical	ADJ
ap-1414	24	34	mechanics	mechanic	NOUN
ap-1414	24	35	shown	show	VERB
ap-1414	24	36	by	by	ADP
ap-1414	24	37	smilga	smilga	PROPN
ap-1414	25	1	[	[	X
ap-1414	25	2	18	18	NUM
ap-1414	25	3	]	]	PUNCT
ap-1414	25	4	.	.	PUNCT
ap-1414	26	1	insofar	insofar	ADV
ap-1414	26	2	as	as	SCONJ
ap-1414	26	3	the	the	DET
ap-1414	26	4	two	two	NUM
ap-1414	26	5	approaches	approach	NOUN
ap-1414	26	6	have	have	VERB
ap-1414	26	7	some	some	DET
ap-1414	26	8	similarities	similarity	NOUN
ap-1414	26	9	we	we	PRON
ap-1414	26	10	may	may	AUX
ap-1414	26	11	hope	hope	VERB
ap-1414	26	12	to	to	PART
ap-1414	26	13	impute	impute	VERB
ap-1414	26	14	h̄	h̄	NOUN
ap-1414	26	15	behaviour	behaviour	NOUN
ap-1414	26	16	to	to	PART
ap-1414	26	17	complex	complex	ADJ
ap-1414	26	18	classical	classical	ADJ
ap-1414	26	19	mechanics	mechanic	NOUN
ap-1414	26	20	.	.	PUNCT
ap-1414	27	1	insofar	insofar	ADV
ap-1414	27	2	as	as	SCONJ
ap-1414	27	3	they	they	PRON
ap-1414	27	4	have	have	VERB
ap-1414	27	5	differences	difference	NOUN
ap-1414	27	6	it	it	PRON
ap-1414	27	7	might	might	AUX
ap-1414	27	8	be	be	AUX
ap-1414	27	9	thought	think	VERB
ap-1414	27	10	that	that	SCONJ
ap-1414	27	11	,	,	PUNCT
ap-1414	27	12	the	the	PRON
ap-1414	27	13	better	well	ADJ
ap-1414	27	14	that	that	DET
ap-1414	27	15	moyal	moyal	ADJ
ap-1414	27	16	paths	path	NOUN
ap-1414	27	17	represent	represent	VERB
ap-1414	27	18	quantum	quantum	ADJ
ap-1414	27	19	mechanics	mechanic	NOUN
ap-1414	27	20	,	,	PUNCT
ap-1414	27	21	to	to	PART
ap-1414	27	22	which	which	PRON
ap-1414	27	23	they	they	PRON
ap-1414	27	24	are	be	AUX
ap-1414	27	25	an	an	DET
ap-1414	27	26	identifiable	identifiable	ADJ
ap-1414	27	27	approximation	approximation	NOUN
ap-1414	27	28	,	,	PUNCT
ap-1414	27	29	the	the	PRON
ap-1414	27	30	more	more	ADV
ap-1414	27	31	poorly	poorly	ADV
ap-1414	27	32	the	the	DET
ap-1414	27	33	paths	path	NOUN
ap-1414	27	34	from	from	ADP
ap-1414	27	35	ccm	ccm	PROPN
ap-1414	27	36	will	will	AUX
ap-1414	27	37	do	do	VERB
ap-1414	27	38	so	so	ADV
ap-1414	27	39	.	.	PUNCT
ap-1414	28	1	in	in	ADP
ap-1414	28	2	fact	fact	NOUN
ap-1414	28	3	,	,	PUNCT
ap-1414	28	4	as	as	SCONJ
ap-1414	28	5	we	we	PRON
ap-1414	28	6	shall	shall	AUX
ap-1414	28	7	see	see	VERB
ap-1414	28	8	,	,	PUNCT
ap-1414	28	9	the	the	DET
ap-1414	28	10	situation	situation	NOUN
ap-1414	28	11	is	be	AUX
ap-1414	28	12	somewhat	somewhat	ADV
ap-1414	28	13	more	more	ADV
ap-1414	28	14	complicated	complicated	ADJ
ap-1414	28	15	.	.	PUNCT
ap-1414	29	1	even	even	ADV
ap-1414	29	2	prior	prior	ADV
ap-1414	29	3	to	to	ADP
ap-1414	29	4	papers	paper	NOUN
ap-1414	29	5	[	[	X
ap-1414	29	6	13	13	NUM
ap-1414	29	7	]	]	PUNCT
ap-1414	29	8	and	and	CCONJ
ap-1414	29	9	[	[	X
ap-1414	29	10	14	14	NUM
ap-1414	29	11	,	,	PUNCT
ap-1414	29	12	15	15	NUM
ap-1414	29	13	]	]	PUNCT
ap-1414	29	14	there	there	PRON
ap-1414	29	15	was	be	VERB
ap-1414	29	16	an	an	DET
ap-1414	29	17	extensive	extensive	ADJ
ap-1414	29	18	literature	literature	NOUN
ap-1414	29	19	on	on	ADP
ap-1414	29	20	the	the	DET
ap-1414	29	21	role	role	NOUN
ap-1414	29	22	on	on	ADP
ap-1414	29	23	classical	classical	ADJ
ap-1414	29	24	and	and	CCONJ
ap-1414	29	25	quasi	quasi	ADJ
ap-1414	29	26	-	-	ADJ
ap-1414	29	27	classical	classical	ADJ
ap-1414	29	28	paths	path	NOUN
ap-1414	29	29	in	in	ADP
ap-1414	29	30	quantum	quantum	ADJ
ap-1414	29	31	mechanics	mechanic	NOUN
ap-1414	29	32	(	(	PUNCT
ap-1414	29	33	e.g.	e.g.	ADV
ap-1414	29	34	[	[	X
ap-1414	29	35	16	16	NUM
ap-1414	29	36	]	]	PUNCT
ap-1414	29	37	)	)	PUNCT
ap-1414	29	38	that	that	PRON
ap-1414	29	39	has	have	AUX
ap-1414	29	40	been	be	AUX
ap-1414	29	41	developed	develop	VERB
ap-1414	29	42	since	since	ADV
ap-1414	29	43	.	.	PUNCT
ap-1414	30	1	given	give	VERB
ap-1414	30	2	the	the	DET
ap-1414	30	3	brevity	brevity	NOUN
ap-1414	30	4	and	and	CCONJ
ap-1414	30	5	simplicity	simplicity	NOUN
ap-1414	30	6	of	of	ADP
ap-1414	30	7	our	our	PRON
ap-1414	30	8	observations	observation	NOUN
ap-1414	30	9	it	it	PRON
ap-1414	30	10	is	be	AUX
ap-1414	30	11	suffi83	suffi83	VERB
ap-1414	30	12	acta	acta	PROPN
ap-1414	30	13	polytechnica	polytechnica	PROPN
ap-1414	30	14	vol	vol	NOUN
ap-1414	30	15	.	.	PUNCT
ap-1414	31	1	51	51	NUM
ap-1414	31	2	no	no	NOUN
ap-1414	31	3	.	.	PUNCT
ap-1414	32	1	4/2011	4/2011	NUM
ap-1414	32	2	cient	cient	NOUN
ap-1414	32	3	,	,	PUNCT
ap-1414	32	4	in	in	ADP
ap-1414	32	5	the	the	DET
ap-1414	32	6	context	context	NOUN
ap-1414	32	7	of	of	ADP
ap-1414	32	8	this	this	DET
ap-1414	32	9	paper	paper	NOUN
ap-1414	32	10	,	,	PUNCT
ap-1414	32	11	to	to	PART
ap-1414	32	12	cite	cite	VERB
ap-1414	32	13	just	just	ADV
ap-1414	32	14	[	[	X
ap-1414	32	15	17	17	NUM
ap-1414	32	16	]	]	PUNCT
ap-1414	32	17	and	and	CCONJ
ap-1414	32	18	the	the	DET
ap-1414	32	19	references	reference	NOUN
ap-1414	32	20	therein	therein	ADV
ap-1414	32	21	for	for	ADP
ap-1414	32	22	interested	interested	ADJ
ap-1414	32	23	readers	reader	NOUN
ap-1414	32	24	.	.	PUNCT
ap-1414	33	1	we	we	PRON
ap-1414	33	2	conclude	conclude	VERB
ap-1414	33	3	with	with	ADP
ap-1414	33	4	some	some	DET
ap-1414	33	5	thoughts	thought	NOUN
ap-1414	33	6	on	on	ADP
ap-1414	33	7	quantisation	quantisation	NOUN
ap-1414	33	8	as	as	ADP
ap-1414	33	9	dimensional	dimensional	ADJ
ap-1414	33	10	reduction	reduction	NOUN
ap-1414	33	11	.	.	PUNCT
ap-1414	34	1	2	2	NUM
ap-1414	34	2	phase	phase	NOUN
ap-1414	34	3	space	space	NOUN
ap-1414	34	4	path	path	NOUN
ap-1414	34	5	integrals	integral	NOUN
ap-1414	34	6	for	for	ADP
ap-1414	34	7	(	(	PUNCT
ap-1414	34	8	real	real	ADJ
ap-1414	34	9	)	)	PUNCT
ap-1414	34	10	classical	classical	ADJ
ap-1414	34	11	mechanics	mechanic	NOUN
ap-1414	34	12	we	we	PRON
ap-1414	34	13	restrict	restrict	VERB
ap-1414	34	14	ourselves	ourselves	PRON
ap-1414	34	15	to	to	ADP
ap-1414	34	16	a	a	DET
ap-1414	34	17	single	single	ADJ
ap-1414	34	18	particle	particle	NOUN
ap-1414	34	19	,	,	PUNCT
ap-1414	34	20	mass	mass	PROPN
ap-1414	34	21	m	m	PROPN
ap-1414	34	22	,	,	PUNCT
ap-1414	34	23	moving	move	VERB
ap-1414	34	24	in	in	ADP
ap-1414	34	25	phase	phase	NOUN
ap-1414	34	26	space	space	NOUN
ap-1414	34	27	ϕ	ϕ	NOUN
ap-1414	35	1	=	=	PUNCT
ap-1414	35	2	(	(	PUNCT
ap-1414	35	3	x	x	X
ap-1414	35	4	,	,	PUNCT
ap-1414	35	5	p	p	NOUN
ap-1414	35	6	)	)	PUNCT
ap-1414	35	7	,	,	PUNCT
ap-1414	35	8	under	under	ADP
ap-1414	35	9	the	the	DET
ap-1414	35	10	hamiltonian	hamiltonian	ADJ
ap-1414	35	11	hcl(ϕ	hcl(ϕ	PROPN
ap-1414	35	12	)	)	PUNCT
ap-1414	35	13	:	:	PUNCT
ap-1414	35	14	=	=	SYM
ap-1414	35	15	hcl(x	hcl(x	PROPN
ap-1414	35	16	,	,	PUNCT
ap-1414	35	17	p	p	NOUN
ap-1414	35	18	)	)	PUNCT
ap-1414	35	19	=	=	NOUN
ap-1414	35	20	p2	p2	PROPN
ap-1414	35	21	2	2	NUM
ap-1414	35	22	m	m	NOUN
ap-1414	35	23	+	+	NUM
ap-1414	35	24	v	v	ADJ
ap-1414	35	25	(	(	PUNCT
ap-1414	35	26	x	x	NOUN
ap-1414	35	27	)	)	PUNCT
ap-1414	35	28	.	.	PUNCT
ap-1414	36	1	the	the	DET
ap-1414	36	2	classical	classical	ADJ
ap-1414	36	3	solutions	solution	NOUN
ap-1414	36	4	ϕcl	ϕcl	ADP
ap-1414	36	5	satisfy	satisfy	PROPN
ap-1414	36	6	hamilton	hamilton	PROPN
ap-1414	36	7	’s	’s	PART
ap-1414	36	8	equations	equation	NOUN
ap-1414	36	9	ϕ̇a	ϕ̇a	PROPN
ap-1414	36	10	−	−	PROPN
ap-1414	37	1	ωab∂bhcl	ωab∂bhcl	PROPN
ap-1414	37	2	=	=	SYM
ap-1414	37	3	0	0	PROPN
ap-1414	37	4	,	,	PUNCT
ap-1414	37	5	(	(	PUNCT
ap-1414	37	6	2.1	2.1	NUM
ap-1414	37	7	)	)	PUNCT
ap-1414	38	1	where	where	SCONJ
ap-1414	38	2	ωab	ωab	NOUN
ap-1414	38	3	=	=	SYM
ap-1414	38	4	iσ2	iσ2	AUX
ap-1414	38	5	and	and	CCONJ
ap-1414	38	6	∂a	∂a	NOUN
ap-1414	38	7	=	=	SYM
ap-1414	38	8	∂/∂ϕa	∂/∂ϕa	PROPN
ap-1414	38	9	.	.	PUNCT
ap-1414	39	1	classical	classical	ADJ
ap-1414	39	2	phase	phase	NOUN
ap-1414	39	3	-	-	PUNCT
ap-1414	39	4	space	space	NOUN
ap-1414	39	5	densities	density	NOUN
ap-1414	39	6	ρcl(ϕ	ρcl(ϕ	PROPN
ap-1414	39	7	,	,	PUNCT
ap-1414	39	8	t	t	PROPN
ap-1414	39	9	)	)	PUNCT
ap-1414	39	10	evolve	evolve	NOUN
ap-1414	39	11	as	as	ADP
ap-1414	39	12	ρcl(ϕf	ρcl(ϕf	NOUN
ap-1414	39	13	,	,	PUNCT
ap-1414	39	14	tf	tf	INTJ
ap-1414	39	15	)	)	PUNCT
ap-1414	40	1	=	=	SYM
ap-1414	40	2	(	(	PUNCT
ap-1414	40	3	2.2)∫	2.2)∫	NUM
ap-1414	40	4	dϕa	dϕa	PROPN
ap-1414	40	5	kcl(ϕf	kcl(ϕf	PROPN
ap-1414	40	6	,	,	PUNCT
ap-1414	40	7	tf	tf	INTJ
ap-1414	40	8	|ϕi	|ϕi	PROPN
ap-1414	40	9	,	,	PUNCT
ap-1414	40	10	ti)ρcl(ϕi	ti)ρcl(ϕi	NOUN
ap-1414	40	11	,	,	PUNCT
ap-1414	40	12	ti	ti	NOUN
ap-1414	40	13	)	)	PUNCT
ap-1414	40	14	where	where	SCONJ
ap-1414	40	15	the	the	DET
ap-1414	40	16	kernel	kernel	PROPN
ap-1414	40	17	kcl(ϕf	kcl(ϕf	X
ap-1414	40	18	,	,	PUNCT
ap-1414	40	19	tf	tf	INTJ
ap-1414	40	20	|ϕi	|ϕi	PROPN
ap-1414	40	21	,	,	PUNCT
ap-1414	40	22	ti	ti	NOUN
ap-1414	40	23	)	)	PUNCT
ap-1414	40	24	is	be	AUX
ap-1414	40	25	restricted	restrict	VERB
ap-1414	40	26	to	to	ADP
ap-1414	40	27	the	the	DET
ap-1414	40	28	classical	classical	ADJ
ap-1414	40	29	paths	path	NOUN
ap-1414	40	30	of	of	ADP
ap-1414	40	31	(	(	PUNCT
ap-1414	40	32	2.1	2.1	NUM
ap-1414	40	33	)	)	PUNCT
ap-1414	40	34	,	,	PUNCT
ap-1414	40	35	kcl(ϕf	kcl(ϕf	X
ap-1414	40	36	,	,	PUNCT
ap-1414	40	37	tf	tf	INTJ
ap-1414	40	38	|ϕi	|ϕi	PROPN
ap-1414	40	39	,	,	PUNCT
ap-1414	40	40	ti	ti	NOUN
ap-1414	40	41	)	)	PUNCT
ap-1414	40	42	=	=	SYM
ap-1414	41	1	∫	∫	PROPN
ap-1414	42	1	ϕf	ϕf	INTJ
ap-1414	42	2	ϕi	ϕi	ADP
ap-1414	42	3	dϕa	dϕa	PROPN
ap-1414	42	4	δ[ϕa	δ[ϕa	PROPN
ap-1414	42	5	−	−	PROPN
ap-1414	42	6	ϕa	ϕa	NOUN
ap-1414	42	7	cl	cl	NOUN
ap-1414	42	8	]	]	X
ap-1414	42	9	=	=	SYM
ap-1414	42	10	(	(	PUNCT
ap-1414	42	11	2.3)∫	2.3)∫	NUM
ap-1414	42	12	ϕf	ϕf	NOUN
ap-1414	42	13	ϕi	ϕi	ADP
ap-1414	42	14	dϕa	dϕa	PROPN
ap-1414	42	15	δ[ϕ̇a	δ[ϕ̇a	PROPN
ap-1414	42	16	−	−	PROPN
ap-1414	43	1	ωab∂bhcl	ωab∂bhcl	PROPN
ap-1414	43	2	]	]	X
ap-1414	43	3	the	the	DET
ap-1414	43	4	second	second	ADJ
ap-1414	43	5	equality	equality	NOUN
ap-1414	43	6	of	of	ADP
ap-1414	43	7	(	(	PUNCT
ap-1414	43	8	2.3	2.3	NUM
ap-1414	43	9	)	)	PUNCT
ap-1414	43	10	is	be	AUX
ap-1414	43	11	a	a	DET
ap-1414	43	12	consequence	consequence	NOUN
ap-1414	43	13	of	of	ADP
ap-1414	43	14	the	the	DET
ap-1414	43	15	incompressibility	incompressibility	NOUN
ap-1414	43	16	of	of	ADP
ap-1414	43	17	phase	phase	NOUN
ap-1414	43	18	space	space	NOUN
ap-1414	43	19	.	.	PUNCT
ap-1414	44	1	we	we	PRON
ap-1414	44	2	repeat	repeat	VERB
ap-1414	44	3	the	the	DET
ap-1414	44	4	earlier	early	ADJ
ap-1414	44	5	analysis	analysis	NOUN
ap-1414	44	6	of	of	ADP
ap-1414	44	7	gozzi	gozzi	NOUN
ap-1414	44	8	[	[	X
ap-1414	44	9	10	10	NUM
ap-1414	44	10	]	]	PUNCT
ap-1414	44	11	in	in	ADP
ap-1414	44	12	doubling	double	VERB
ap-1414	44	13	phase	phase	NOUN
ap-1414	44	14	space	space	NOUN
ap-1414	44	15	through	through	ADP
ap-1414	44	16	the	the	DET
ap-1414	44	17	functional	functional	ADJ
ap-1414	44	18	fourier	fourier	NOUN
ap-1414	44	19	transform	transform	NOUN
ap-1414	44	20	of	of	ADP
ap-1414	44	21	the	the	DET
ap-1414	44	22	delta	delta	NOUN
ap-1414	44	23	functional	functional	ADJ
ap-1414	44	24	:	:	PUNCT
ap-1414	44	25	kcl(ϕf	kcl(ϕf	X
ap-1414	44	26	,	,	PUNCT
ap-1414	44	27	tf	tf	INTJ
ap-1414	44	28	|ϕi	|ϕi	PROPN
ap-1414	44	29	,	,	PUNCT
ap-1414	44	30	ti	ti	NOUN
ap-1414	44	31	)	)	PUNCT
ap-1414	44	32	=	=	SYM
ap-1414	44	33	(	(	PUNCT
ap-1414	44	34	2.4)∫	2.4)∫	NUM
ap-1414	44	35	ϕf	ϕf	NOUN
ap-1414	44	36	ϕi	ϕi	ADP
ap-1414	44	37	dϕadπa	dϕadπa	NOUN
ap-1414	44	38	exp	exp	NOUN
ap-1414	44	39	{	{	PUNCT
ap-1414	45	1	i	i	PRON
ap-1414	45	2	∫	∫	VERB
ap-1414	45	3	tf	tf	INTJ
ap-1414	45	4	ti	ti	PROPN
ap-1414	45	5	dt	dt	INTJ
ap-1414	46	1	πa(ϕ̇a	πa(ϕ̇a	NOUN
ap-1414	46	2	−	−	PROPN
ap-1414	46	3	ωab∂bhcl	ωab∂bhcl	NUM
ap-1414	46	4	)	)	PUNCT
ap-1414	46	5	}	}	PUNCT
ap-1414	46	6	if	if	SCONJ
ap-1414	46	7	〈	〈	PROPN
ap-1414	46	8	.	.	PUNCT
ap-1414	46	9	.	.	PUNCT
ap-1414	46	10	.	.	PUNCT
ap-1414	47	1	〉	〉	NOUN
ap-1414	47	2	denotes	denote	NOUN
ap-1414	47	3	averaging	average	VERB
ap-1414	47	4	with	with	ADP
ap-1414	47	5	respect	respect	NOUN
ap-1414	47	6	to	to	ADP
ap-1414	47	7	the	the	DET
ap-1414	47	8	(	(	PUNCT
ap-1414	47	9	normalised	normalise	VERB
ap-1414	47	10	)	)	PUNCT
ap-1414	47	11	path	path	NOUN
ap-1414	47	12	integral	integral	ADJ
ap-1414	47	13	then	then	ADV
ap-1414	47	14	,	,	PUNCT
ap-1414	47	15	on	on	ADP
ap-1414	47	16	time	time	NOUN
ap-1414	47	17	-	-	PUNCT
ap-1414	47	18	splitting	splitting	NOUN
ap-1414	47	19	,	,	PUNCT
ap-1414	47	20	we	we	PRON
ap-1414	47	21	see	see	VERB
ap-1414	47	22	that	that	SCONJ
ap-1414	47	23	the	the	DET
ap-1414	47	24	πa	πa	NOUN
ap-1414	47	25	are	be	AUX
ap-1414	47	26	conjugate	conjugate	ADJ
ap-1414	47	27	to	to	ADP
ap-1414	47	28	the	the	DET
ap-1414	47	29	ϕa	ϕa	NOUN
ap-1414	47	30	,	,	PUNCT
ap-1414	47	31	with	with	SCONJ
ap-1414	47	32	equal	equal	ADJ
ap-1414	47	33	-	-	PUNCT
ap-1414	47	34	time	time	NOUN
ap-1414	47	35	commutation	commutation	NOUN
ap-1414	47	36	relations	relation	NOUN
ap-1414	47	37	〈	〈	PROPN
ap-1414	47	38	[	[	X
ap-1414	47	39	ϕa	ϕa	NOUN
ap-1414	47	40	,	,	PUNCT
ap-1414	47	41	πb	πb	NOUN
ap-1414	47	42	]	]	X
ap-1414	47	43	〉	〉	NOUN
ap-1414	47	44	=	=	SYM
ap-1414	47	45	iδa	iδa	PROPN
ap-1414	47	46	b	b	PROPN
ap-1414	47	47	(	(	PUNCT
ap-1414	47	48	2.5	2.5	NUM
ap-1414	47	49	)	)	PUNCT
ap-1414	47	50	that	that	PRON
ap-1414	47	51	is	be	AUX
ap-1414	47	52	,	,	PUNCT
ap-1414	47	53	in	in	ADP
ap-1414	47	54	(	(	PUNCT
ap-1414	47	55	2.4	2.4	NUM
ap-1414	47	56	)	)	PUNCT
ap-1414	47	57	we	we	PRON
ap-1414	47	58	have	have	VERB
ap-1414	47	59	the	the	DET
ap-1414	47	60	path	path	NOUN
ap-1414	47	61	integral	integral	ADJ
ap-1414	47	62	realisation	realisation	NOUN
ap-1414	47	63	of	of	ADP
ap-1414	47	64	the	the	DET
ap-1414	47	65	canonical	canonical	ADJ
ap-1414	47	66	koopman	koopman	NOUN
ap-1414	47	67	—	—	PUNCT
ap-1414	47	68	von	von	PROPN
ap-1414	47	69	neumann	neumann	PROPN
ap-1414	47	70	(	(	PUNCT
ap-1414	47	71	kvn	kvn	PROPN
ap-1414	47	72	)	)	PUNCT
ap-1414	47	73	hilbert	hilbert	NOUN
ap-1414	47	74	space	space	NOUN
ap-1414	47	75	description	description	NOUN
ap-1414	47	76	of	of	ADP
ap-1414	47	77	classical	classical	ADJ
ap-1414	47	78	mechanics	mechanic	NOUN
ap-1414	47	79	[	[	X
ap-1414	47	80	19	19	NUM
ap-1414	47	81	,	,	PUNCT
ap-1414	47	82	20	20	NUM
ap-1414	47	83	]	]	PUNCT
ap-1414	47	84	.	.	PUNCT
ap-1414	48	1	this	this	PRON
ap-1414	48	2	becomes	become	VERB
ap-1414	48	3	clearer	clear	ADJ
ap-1414	48	4	if	if	SCONJ
ap-1414	48	5	we	we	PRON
ap-1414	48	6	rewrite	rewrite	VERB
ap-1414	48	7	kcl(ϕf	kcl(ϕf	X
ap-1414	48	8	,	,	PUNCT
ap-1414	48	9	tf	tf	INTJ
ap-1414	48	10	|ϕi	|ϕi	PROPN
ap-1414	48	11	,	,	PUNCT
ap-1414	48	12	ti	ti	NOUN
ap-1414	48	13	)	)	PUNCT
ap-1414	48	14	as	as	ADP
ap-1414	48	15	kcl(ϕf	kcl(ϕf	X
ap-1414	48	16	,	,	PUNCT
ap-1414	48	17	tf	tf	INTJ
ap-1414	48	18	|ϕi	|ϕi	PROPN
ap-1414	48	19	,	,	PUNCT
ap-1414	48	20	ti	ti	NOUN
ap-1414	48	21	)	)	PUNCT
ap-1414	48	22	=	=	SYM
ap-1414	49	1	(	(	PUNCT
ap-1414	49	2	2.6)∫	2.6)∫	NUM
ap-1414	49	3	ϕf	ϕf	INTJ
ap-1414	49	4	ϕi	ϕi	ADP
ap-1414	49	5	dϕadπa	dϕadπa	NOUN
ap-1414	49	6	exp	exp	NOUN
ap-1414	49	7	{	{	PUNCT
ap-1414	49	8	iscl[ϕ	iscl[ϕ	PROPN
ap-1414	49	9	,	,	PUNCT
ap-1414	49	10	π	π	PROPN
ap-1414	49	11	]	]	X
ap-1414	49	12	}	}	PUNCT
ap-1414	49	13	where	where	SCONJ
ap-1414	49	14	scl[ϕ	scl[ϕ	PROPN
ap-1414	49	15	,	,	PUNCT
ap-1414	49	16	π	π	X
ap-1414	49	17	]	]	X
ap-1414	49	18	=	=	SYM
ap-1414	49	19	∫	∫	PROPN
ap-1414	50	1	tf	tf	INTJ
ap-1414	50	2	ti	ti	PROPN
ap-1414	50	3	dtlcl(ϕ	dtlcl(ϕ	PROPN
ap-1414	50	4	,	,	PUNCT
ap-1414	50	5	π	π	NOUN
ap-1414	50	6	)	)	PUNCT
ap-1414	50	7	(	(	PUNCT
ap-1414	50	8	2.7	2.7	NUM
ap-1414	50	9	)	)	PUNCT
ap-1414	50	10	with	with	ADP
ap-1414	50	11	lcl(ϕ	lcl(ϕ	PROPN
ap-1414	50	12	,	,	PUNCT
ap-1414	50	13	π	π	X
ap-1414	50	14	)	)	PUNCT
ap-1414	50	15	=	=	SYM
ap-1414	50	16	ϕ̇aπb	ϕ̇aπb	X
ap-1414	50	17	−hcl(ϕ	−hcl(ϕ	PROPN
ap-1414	50	18	,	,	PUNCT
ap-1414	50	19	π	π	PROPN
ap-1414	50	20	)	)	PUNCT
ap-1414	50	21	.	.	PUNCT
ap-1414	51	1	the	the	DET
ap-1414	51	2	hamiltonian	hamiltonian	PROPN
ap-1414	51	3	hcl(φ	hcl(φ	PROPN
ap-1414	51	4	,	,	PUNCT
ap-1414	51	5	π	π	PROPN
ap-1414	51	6	)	)	PUNCT
ap-1414	51	7	,	,	PUNCT
ap-1414	51	8	hcl(ϕ	hcl(ϕ	PROPN
ap-1414	51	9	,	,	PUNCT
ap-1414	51	10	π	π	NOUN
ap-1414	51	11	)	)	PUNCT
ap-1414	51	12	=	=	PUNCT
ap-1414	51	13	πaωab∂bhcl	πaωab∂bhcl	PROPN
ap-1414	51	14	.	.	PUNCT
ap-1414	52	1	(	(	PUNCT
ap-1414	52	2	2.8	2.8	NUM
ap-1414	52	3	)	)	PUNCT
ap-1414	52	4	is	be	AUX
ap-1414	52	5	no	no	PRON
ap-1414	52	6	more	more	ADJ
ap-1414	52	7	than	than	ADP
ap-1414	52	8	the	the	DET
ap-1414	52	9	liouville	liouville	NOUN
ap-1414	52	10	operator	operator	NOUN
ap-1414	52	11	(	(	PUNCT
ap-1414	52	12	up	up	ADP
ap-1414	52	13	to	to	ADP
ap-1414	52	14	a	a	DET
ap-1414	52	15	factor	factor	NOUN
ap-1414	52	16	of	of	ADP
ap-1414	52	17	i	i	PROPN
ap-1414	52	18	)	)	PUNCT
ap-1414	52	19	,	,	PUNCT
ap-1414	52	20	as	as	SCONJ
ap-1414	52	21	follows	follow	VERB
ap-1414	52	22	immediately	immediately	ADV
ap-1414	52	23	if	if	SCONJ
ap-1414	52	24	we	we	PRON
ap-1414	52	25	adopt	adopt	VERB
ap-1414	52	26	the	the	DET
ap-1414	52	27	ϕrepresentation	ϕrepresentation	NOUN
ap-1414	52	28	πa	πa	ADP
ap-1414	52	29	=	=	PUNCT
ap-1414	52	30	−i∂a	−i∂a	PROPN
ap-1414	52	31	in	in	ADP
ap-1414	52	32	hcl	hcl	PROPN
ap-1414	52	33	.	.	PUNCT
ap-1414	53	1	the	the	DET
ap-1414	53	2	commutators	commutator	NOUN
ap-1414	53	3	with	with	ADP
ap-1414	53	4	hcl(ϕ	hcl(ϕ	PROPN
ap-1414	53	5	,	,	PUNCT
ap-1414	53	6	π	π	NOUN
ap-1414	53	7	)	)	PUNCT
ap-1414	53	8	(	(	PUNCT
ap-1414	53	9	in	in	ADP
ap-1414	53	10	the	the	DET
ap-1414	53	11	sense	sense	NOUN
ap-1414	53	12	of	of	ADP
ap-1414	53	13	(	(	PUNCT
ap-1414	53	14	2.5	2.5	NUM
ap-1414	53	15	)	)	PUNCT
ap-1414	53	16	)	)	PUNCT
ap-1414	53	17	determine	determine	VERB
ap-1414	53	18	the	the	DET
ap-1414	53	19	evolution	evolution	NOUN
ap-1414	53	20	of	of	ADP
ap-1414	53	21	(	(	PUNCT
ap-1414	53	22	ϕ	ϕ	PROPN
ap-1414	53	23	,	,	PUNCT
ap-1414	53	24	π	π	NOUN
ap-1414	53	25	)	)	PUNCT
ap-1414	53	26	,	,	PUNCT
ap-1414	53	27	but	but	CCONJ
ap-1414	53	28	it	it	PRON
ap-1414	53	29	is	be	AUX
ap-1414	53	30	more	more	ADV
ap-1414	53	31	convenient	convenient	ADJ
ap-1414	53	32	to	to	PART
ap-1414	53	33	think	think	VERB
ap-1414	53	34	of	of	ADP
ap-1414	53	35	these	these	DET
ap-1414	53	36	solutions	solution	NOUN
ap-1414	53	37	as	as	ADP
ap-1414	53	38	just	just	ADV
ap-1414	53	39	the	the	DET
ap-1414	53	40	solutions	solution	NOUN
ap-1414	53	41	(	(	PUNCT
ap-1414	53	42	ϕcl	ϕcl	ADV
ap-1414	53	43	,	,	PUNCT
ap-1414	53	44	πcl	πcl	NOUN
ap-1414	53	45	)	)	PUNCT
ap-1414	53	46	to	to	ADP
ap-1414	53	47	δscl	δscl	NOUN
ap-1414	53	48	=	=	NOUN
ap-1414	53	49	0	0	NUM
ap-1414	53	50	.	.	NOUN
ap-1414	53	51	3	3	NUM
ap-1414	53	52	phase	phase	NOUN
ap-1414	53	53	space	space	NOUN
ap-1414	53	54	path	path	NOUN
ap-1414	53	55	integrals	integral	NOUN
ap-1414	53	56	for	for	ADP
ap-1414	53	57	quantum	quantum	ADJ
ap-1414	53	58	mechanics	mechanic	NOUN
ap-1414	53	59	to	to	PART
ap-1414	53	60	explore	explore	VERB
ap-1414	53	61	the	the	DET
ap-1414	53	62	role	role	NOUN
ap-1414	53	63	of	of	ADP
ap-1414	53	64	semi	semi	ADJ
ap-1414	53	65	-	-	ADJ
ap-1414	53	66	classical	classical	ADJ
ap-1414	53	67	paths	path	NOUN
ap-1414	53	68	in	in	ADP
ap-1414	53	69	quantum	quantum	ADJ
ap-1414	53	70	mechanics	mechanic	NOUN
ap-1414	53	71	we	we	PRON
ap-1414	53	72	stay	stay	VERB
ap-1414	53	73	as	as	ADV
ap-1414	53	74	close	close	ADV
ap-1414	53	75	to	to	ADP
ap-1414	53	76	the	the	DET
ap-1414	53	77	classical	classical	ADJ
ap-1414	53	78	formalism	formalism	NOUN
ap-1414	53	79	of	of	ADP
ap-1414	53	80	the	the	DET
ap-1414	53	81	previous	previous	ADJ
ap-1414	53	82	section	section	NOUN
ap-1414	53	83	as	as	ADP
ap-1414	53	84	possible	possible	ADJ
ap-1414	53	85	.	.	PUNCT
ap-1414	54	1	the	the	DET
ap-1414	54	2	classical	classical	ADJ
ap-1414	54	3	phase	phase	NOUN
ap-1414	54	4	-	-	PUNCT
ap-1414	54	5	space	space	NOUN
ap-1414	54	6	density	density	NOUN
ap-1414	54	7	ρcl(ϕ	ρcl(ϕ	PROPN
ap-1414	54	8	,	,	PUNCT
ap-1414	54	9	t	t	PROPN
ap-1414	54	10	)	)	PUNCT
ap-1414	54	11	is	be	AUX
ap-1414	54	12	replaced	replace	VERB
ap-1414	54	13	by	by	ADP
ap-1414	54	14	the	the	DET
ap-1414	54	15	wigner	wigner	ADJ
ap-1414	54	16	function	function	NOUN
ap-1414	54	17	ρw	ρw	PROPN
ap-1414	54	18	(	(	PUNCT
ap-1414	54	19	ϕ	ϕ	PROPN
ap-1414	54	20	,	,	PUNCT
ap-1414	54	21	t	t	PROPN
ap-1414	54	22	)	)	PUNCT
ap-1414	54	23	ρw	ρw	PROPN
ap-1414	54	24	(	(	PUNCT
ap-1414	54	25	x	x	X
ap-1414	54	26	,	,	PUNCT
ap-1414	54	27	p	p	X
ap-1414	54	28	,	,	PUNCT
ap-1414	54	29	t	t	PROPN
ap-1414	54	30	)	)	PUNCT
ap-1414	54	31	=	=	PUNCT
ap-1414	54	32	(	(	PUNCT
ap-1414	54	33	3.9	3.9	NUM
ap-1414	54	34	)	)	SYM
ap-1414	54	35	1	1	NUM
ap-1414	54	36	πh̄	πh̄	ADJ
ap-1414	54	37	∫	∫	PROPN
ap-1414	54	38	dy	dy	PROPN
ap-1414	54	39	〈	〈	PROPN
ap-1414	54	40	x	x	PROPN
ap-1414	54	41	−	−	PROPN
ap-1414	54	42	y|ρ̂(t)|x	y|ρ̂(t)|x	PROPN
ap-1414	54	43	+	+	CCONJ
ap-1414	54	44	y〉e2ipy	y〉e2ipy	NOUN
ap-1414	54	45	/	/	SYM
ap-1414	54	46	h̄	h̄	NOUN
ap-1414	54	47	,	,	PUNCT
ap-1414	54	48	which	which	PRON
ap-1414	54	49	,	,	PUNCT
ap-1414	54	50	although	although	SCONJ
ap-1414	54	51	not	not	PART
ap-1414	54	52	strictly	strictly	ADV
ap-1414	54	53	a	a	DET
ap-1414	54	54	density	density	NOUN
ap-1414	54	55	,	,	PUNCT
ap-1414	54	56	reduces	reduce	VERB
ap-1414	54	57	to	to	ADP
ap-1414	54	58	it	it	PRON
ap-1414	54	59	in	in	ADP
ap-1414	54	60	the	the	DET
ap-1414	54	61	h̄	h̄	NOUN
ap-1414	54	62	→	→	SYM
ap-1414	54	63	0	0	NUM
ap-1414	54	64	limit	limit	NOUN
ap-1414	54	65	.	.	PUNCT
ap-1414	55	1	its	its	PRON
ap-1414	55	2	evolution	evolution	NOUN
ap-1414	55	3	equation	equation	NOUN
ap-1414	55	4	ρw	ρw	PROPN
ap-1414	55	5	(	(	PUNCT
ap-1414	55	6	ϕf	ϕf	INTJ
ap-1414	55	7	,	,	PUNCT
ap-1414	55	8	tf	tf	INTJ
ap-1414	55	9	)	)	PUNCT
ap-1414	55	10	=	=	SYM
ap-1414	55	11	(	(	PUNCT
ap-1414	55	12	3.10)∫	3.10)∫	NUM
ap-1414	55	13	dϕi	dϕi	NOUN
ap-1414	55	14	kqu(ϕf	kqu(ϕf	NOUN
ap-1414	55	15	,	,	PUNCT
ap-1414	55	16	tf	tf	INTJ
ap-1414	55	17	|ϕi	|ϕi	PROPN
ap-1414	55	18	,	,	PUNCT
ap-1414	55	19	ti)ρw	ti)ρw	PUNCT
ap-1414	55	20	(	(	PUNCT
ap-1414	55	21	ϕi	ϕi	PROPN
ap-1414	55	22	,	,	PUNCT
ap-1414	55	23	ti	ti	NOUN
ap-1414	55	24	)	)	PUNCT
ap-1414	55	25	is	be	AUX
ap-1414	55	26	determined	determine	VERB
ap-1414	55	27	by	by	ADP
ap-1414	55	28	the	the	DET
ap-1414	55	29	kernel	kernel	PROPN
ap-1414	55	30	kqu	kqu	PROPN
ap-1414	55	31	,	,	PUNCT
ap-1414	55	32	which	which	PRON
ap-1414	55	33	we	we	PRON
ap-1414	55	34	define	define	VERB
ap-1414	55	35	on	on	ADP
ap-1414	55	36	the	the	DET
ap-1414	55	37	same	same	ADJ
ap-1414	55	38	extended	extend	VERB
ap-1414	55	39	phase	phase	NOUN
ap-1414	55	40	-	-	PUNCT
ap-1414	55	41	space	space	NOUN
ap-1414	55	42	as	as	ADP
ap-1414	55	43	kqu(ϕf	kqu(ϕf	NOUN
ap-1414	55	44	,	,	PUNCT
ap-1414	55	45	tf	tf	X
ap-1414	55	46	|ϕi	|ϕi	PROPN
ap-1414	55	47	,	,	PUNCT
ap-1414	55	48	ti	ti	NOUN
ap-1414	55	49	)	)	PUNCT
ap-1414	55	50	=	=	SYM
ap-1414	56	1	(	(	PUNCT
ap-1414	56	2	3.11)∫	3.11)∫	NUM
ap-1414	56	3	ϕf	ϕf	NOUN
ap-1414	56	4	ϕi	ϕi	ADP
ap-1414	56	5	dϕadπa	dϕadπa	NOUN
ap-1414	56	6	exp	exp	NOUN
ap-1414	56	7	{	{	PUNCT
ap-1414	56	8	isqu[ϕ	isqu[ϕ	PROPN
ap-1414	56	9	,	,	PUNCT
ap-1414	56	10	π	π	X
ap-1414	56	11	]	]	X
ap-1414	56	12	}	}	PUNCT
ap-1414	56	13	,	,	PUNCT
ap-1414	56	14	with	with	ADP
ap-1414	56	15	squ(ϕ	squ(ϕ	PROPN
ap-1414	56	16	,	,	PUNCT
ap-1414	56	17	π	π	X
ap-1414	56	18	)	)	PUNCT
ap-1414	57	1	=	=	SYM
ap-1414	57	2	∫	∫	PROPN
ap-1414	57	3	tf	tf	INTJ
ap-1414	57	4	ti	ti	PROPN
ap-1414	57	5	dtlqu(ϕ	dtlqu(ϕ	PROPN
ap-1414	57	6	,	,	PUNCT
ap-1414	57	7	π	π	NOUN
ap-1414	57	8	)	)	PUNCT
ap-1414	57	9	=	=	SYM
ap-1414	57	10	(	(	PUNCT
ap-1414	57	11	3.12)∫	3.12)∫	NUM
ap-1414	57	12	tf	tf	INTJ
ap-1414	57	13	ti	ti	PROPN
ap-1414	57	14	dt	dt	X
ap-1414	57	15	(	(	PUNCT
ap-1414	57	16	ϕ̇aπb	ϕ̇aπb	PROPN
ap-1414	57	17	−hqu(ϕ	−hqu(ϕ	NOUN
ap-1414	57	18	,	,	PUNCT
ap-1414	57	19	π	π	PROPN
ap-1414	57	20	)	)	PUNCT
ap-1414	57	21	)	)	PUNCT
ap-1414	57	22	84	84	NUM
ap-1414	57	23	acta	acta	PROPN
ap-1414	57	24	polytechnica	polytechnica	PROPN
ap-1414	57	25	vol	vol	NOUN
ap-1414	57	26	.	.	PUNCT
ap-1414	58	1	51	51	NUM
ap-1414	58	2	no	no	INTJ
ap-1414	58	3	.	.	PUNCT
ap-1414	59	1	4/2011	4/2011	NUM
ap-1414	59	2	the	the	DET
ap-1414	59	3	quantum	quantum	ADJ
ap-1414	59	4	hamiltonian	hamiltonian	NOUN
ap-1414	59	5	hqu(φ	hqu(φ	ADV
ap-1414	59	6	,	,	PUNCT
ap-1414	59	7	π	π	X
ap-1414	59	8	)	)	PUNCT
ap-1414	59	9	is	be	AUX
ap-1414	59	10	a	a	DET
ap-1414	59	11	planckian	planckian	ADJ
ap-1414	59	12	finite	finite	ADJ
ap-1414	59	13	-	-	PUNCT
ap-1414	59	14	difference	difference	ADJ
ap-1414	59	15	discretisation	discretisation	NOUN
ap-1414	59	16	of	of	ADP
ap-1414	59	17	hcl(φ	hcl(φ	PROPN
ap-1414	59	18	,	,	PUNCT
ap-1414	59	19	π	π	PROPN
ap-1414	59	20	)	)	PUNCT
ap-1414	59	21	,	,	PUNCT
ap-1414	59	22	to	to	PART
ap-1414	59	23	which	which	PRON
ap-1414	59	24	it	it	PRON
ap-1414	59	25	reduces	reduce	VERB
ap-1414	59	26	as	as	ADP
ap-1414	59	27	h̄	h̄	NOUN
ap-1414	59	28	→	→	SYM
ap-1414	59	29	0	0	NUM
ap-1414	59	30	.	.	PUNCT
ap-1414	60	1	several	several	ADJ
ap-1414	60	2	choices	choice	NOUN
ap-1414	60	3	are	be	AUX
ap-1414	60	4	possible	possible	ADJ
ap-1414	60	5	.	.	PUNCT
ap-1414	61	1	for	for	ADP
ap-1414	61	2	the	the	DET
ap-1414	61	3	reasons	reason	NOUN
ap-1414	61	4	given	give	VERB
ap-1414	61	5	in	in	ADP
ap-1414	61	6	[	[	NOUN
ap-1414	61	7	14	14	NUM
ap-1414	61	8	,	,	PUNCT
ap-1414	61	9	15	15	NUM
ap-1414	61	10	]	]	PUNCT
ap-1414	61	11	we	we	PRON
ap-1414	61	12	follow	follow	VERB
ap-1414	61	13	these	these	DET
ap-1414	61	14	authors	author	NOUN
ap-1414	61	15	in	in	ADP
ap-1414	61	16	taking	take	VERB
ap-1414	61	17	hqu(ϕ	hqu(ϕ	PROPN
ap-1414	61	18	,	,	PUNCT
ap-1414	61	19	π	π	NOUN
ap-1414	61	20	)	)	PUNCT
ap-1414	61	21	=	=	SYM
ap-1414	62	1	−	−	PROPN
ap-1414	62	2	1	1	NUM
ap-1414	63	1	2h̄	2h̄	NUM
ap-1414	64	1	[	[	X
ap-1414	64	2	hcl(ϕa	hcl(ϕa	X
ap-1414	64	3	+	+	CCONJ
ap-1414	64	4	h̄ωabπb	h̄ωabπb	X
ap-1414	64	5	)	)	PUNCT
ap-1414	64	6	−	−	PROPN
ap-1414	64	7	hcl(ϕ	hcl(ϕ	PROPN
ap-1414	64	8	a	a	DET
ap-1414	64	9	−	−	NOUN
ap-1414	64	10	h̄ωabπb	h̄ωabπb	NOUN
ap-1414	64	11	)	)	PUNCT
ap-1414	64	12	]	]	PUNCT
ap-1414	64	13	.	.	PUNCT
ap-1414	65	1	(	(	PUNCT
ap-1414	65	2	3.13	3.13	NUM
ap-1414	65	3	)	)	PUNCT
ap-1414	65	4	although	although	SCONJ
ap-1414	65	5	we	we	PRON
ap-1414	65	6	appreciate	appreciate	VERB
ap-1414	65	7	that	that	SCONJ
ap-1414	65	8	the	the	DET
ap-1414	65	9	paths	path	NOUN
ap-1414	65	10	themselves	themselves	PRON
ap-1414	65	11	can	can	AUX
ap-1414	65	12	be	be	AUX
ap-1414	65	13	less	less	ADV
ap-1414	65	14	important	important	ADJ
ap-1414	65	15	than	than	ADP
ap-1414	65	16	the	the	DET
ap-1414	65	17	ways	way	NOUN
ap-1414	65	18	in	in	ADP
ap-1414	65	19	which	which	PRON
ap-1414	65	20	they	they	PRON
ap-1414	65	21	are	be	AUX
ap-1414	65	22	put	put	VERB
ap-1414	65	23	together	together	ADV
ap-1414	65	24	,	,	PUNCT
ap-1414	65	25	what	what	PRON
ap-1414	65	26	singles	single	VERB
ap-1414	65	27	out	out	ADP
ap-1414	65	28	complex	complex	ADJ
ap-1414	65	29	classical	classical	ADJ
ap-1414	65	30	mechanics	mechanic	NOUN
ap-1414	65	31	(	(	PUNCT
ap-1414	65	32	ccm	ccm	NOUN
ap-1414	65	33	)	)	PUNCT
ap-1414	65	34	is	be	AUX
ap-1414	65	35	the	the	DET
ap-1414	65	36	importance	importance	NOUN
ap-1414	65	37	attached	attach	VERB
ap-1414	65	38	to	to	ADP
ap-1414	65	39	individual	individual	ADJ
ap-1414	65	40	paths	path	NOUN
ap-1414	65	41	in	in	ADP
ap-1414	65	42	tracking	track	VERB
ap-1414	65	43	their	their	PRON
ap-1414	65	44	times	time	NOUN
ap-1414	65	45	of	of	ADP
ap-1414	65	46	passage	passage	NOUN
ap-1414	65	47	through	through	ADP
ap-1414	65	48	the	the	DET
ap-1414	65	49	important	important	ADJ
ap-1414	65	50	regions	region	NOUN
ap-1414	65	51	of	of	ADP
ap-1414	65	52	the	the	DET
ap-1414	65	53	complexified	complexifie	VERB
ap-1414	65	54	classical	classical	ADJ
ap-1414	65	55	potential	potential	ADJ
ap-1414	65	56	landscape	landscape	NOUN
ap-1414	65	57	.	.	PUNCT
ap-1414	66	1	a	a	PRON
ap-1414	66	2	priori	priori	ADV
ap-1414	66	3	,	,	PUNCT
ap-1414	66	4	we	we	PRON
ap-1414	66	5	take	take	VERB
ap-1414	66	6	the	the	DET
ap-1414	66	7	same	same	ADJ
ap-1414	66	8	stance	stance	NOUN
ap-1414	66	9	here	here	ADV
ap-1414	66	10	,	,	PUNCT
ap-1414	66	11	in	in	ADP
ap-1414	66	12	assuming	assume	VERB
ap-1414	66	13	that	that	SCONJ
ap-1414	66	14	kqu	kqu	PROPN
ap-1414	66	15	is	be	AUX
ap-1414	66	16	dominated	dominate	VERB
ap-1414	66	17	by	by	ADP
ap-1414	66	18	solutions	solution	NOUN
ap-1414	66	19	to	to	PART
ap-1414	66	20	δsqu[ϕ	δsqu[ϕ	PROPN
ap-1414	66	21	,	,	PUNCT
ap-1414	66	22	π	π	X
ap-1414	66	23	]	]	X
ap-1414	66	24	=	=	SYM
ap-1414	66	25	0	0	X
ap-1414	66	26	.	.	PUNCT
ap-1414	67	1	(	(	PUNCT
ap-1414	67	2	3.14	3.14	NUM
ap-1414	67	3	)	)	PUNCT
ap-1414	67	4	that	that	PRON
ap-1414	67	5	is	be	AUX
ap-1414	67	6	,	,	PUNCT
ap-1414	67	7	we	we	PRON
ap-1414	67	8	treat	treat	VERB
ap-1414	67	9	squ[ϕ	squ[ϕ	NUM
ap-1414	67	10	,	,	PUNCT
ap-1414	67	11	π	π	X
ap-1414	67	12	]	]	PUNCT
ap-1414	67	13	as	as	ADP
ap-1414	67	14	a	a	DET
ap-1414	67	15	quasi	quasi	ADJ
ap-1414	67	16	-	-	ADJ
ap-1414	67	17	classical	classical	ADJ
ap-1414	67	18	theory	theory	NOUN
ap-1414	67	19	in	in	ADP
ap-1414	67	20	its	its	PRON
ap-1414	67	21	own	own	ADJ
ap-1414	67	22	right	right	NOUN
ap-1414	67	23	,	,	PUNCT
ap-1414	67	24	which	which	PRON
ap-1414	67	25	we	we	PRON
ap-1414	67	26	shall	shall	AUX
ap-1414	67	27	term	term	NOUN
ap-1414	67	28	mean	mean	ADJ
ap-1414	67	29	-	-	PUNCT
ap-1414	67	30	field	field	NOUN
ap-1414	67	31	quantum	quantum	NOUN
ap-1414	67	32	mechanics	mechanic	NOUN
ap-1414	67	33	(	(	PUNCT
ap-1414	67	34	mfqm	mfqm	NOUN
ap-1414	67	35	)	)	PUNCT
ap-1414	67	36	.	.	PUNCT
ap-1414	68	1	since	since	SCONJ
ap-1414	68	2	squ	squ	NOUN
ap-1414	68	3	=	=	SYM
ap-1414	68	4	o(h̄0	o(h̄0	NOUN
ap-1414	68	5	)	)	PUNCT
ap-1414	68	6	,	,	PUNCT
ap-1414	68	7	(	(	PUNCT
ap-1414	68	8	3.14	3.14	NUM
ap-1414	68	9	)	)	PUNCT
ap-1414	68	10	is	be	AUX
ap-1414	68	11	a	a	DET
ap-1414	68	12	stationary	stationary	ADJ
ap-1414	68	13	phase	phase	NOUN
ap-1414	68	14	approximation	approximation	NOUN
ap-1414	68	15	with	with	ADP
ap-1414	68	16	no	no	DET
ap-1414	68	17	small	small	ADJ
ap-1414	68	18	parameter	parameter	NOUN
ap-1414	68	19	,	,	PUNCT
ap-1414	68	20	and	and	CCONJ
ap-1414	68	21	therefore	therefore	ADV
ap-1414	68	22	to	to	PART
ap-1414	68	23	be	be	AUX
ap-1414	68	24	taken	take	VERB
ap-1414	68	25	circumspectly	circumspectly	ADV
ap-1414	68	26	.	.	PUNCT
ap-1414	69	1	in	in	ADP
ap-1414	69	2	what	what	PRON
ap-1414	69	3	follows	follow	VERB
ap-1414	69	4	we	we	PRON
ap-1414	69	5	compare	compare	VERB
ap-1414	69	6	mfqm	mfqm	NOUN
ap-1414	69	7	to	to	ADP
ap-1414	69	8	ccm	ccm	PROPN
ap-1414	69	9	.	.	PUNCT
ap-1414	70	1	although	although	SCONJ
ap-1414	70	2	they	they	PRON
ap-1414	70	3	do	do	AUX
ap-1414	70	4	not	not	PART
ap-1414	70	5	match	match	VERB
ap-1414	70	6	they	they	PRON
ap-1414	70	7	have	have	VERB
ap-1414	70	8	suggestive	suggestive	ADJ
ap-1414	70	9	similarities	similarity	NOUN
ap-1414	70	10	.	.	PUNCT
ap-1414	71	1	to	to	PART
ap-1414	71	2	cast	cast	VERB
ap-1414	71	3	squ	squ	NOUN
ap-1414	71	4	in	in	ADP
ap-1414	71	5	a	a	DET
ap-1414	71	6	more	more	ADV
ap-1414	71	7	familiar	familiar	ADJ
ap-1414	71	8	form	form	NOUN
ap-1414	71	9	,	,	PUNCT
ap-1414	71	10	we	we	PRON
ap-1414	71	11	reproduce	reproduce	VERB
ap-1414	71	12	marinov	marinov	NOUN
ap-1414	72	1	[	[	X
ap-1414	72	2	13	13	NUM
ap-1414	72	3	]	]	PUNCT
ap-1414	72	4	by	by	ADP
ap-1414	72	5	introducing	introduce	VERB
ap-1414	72	6	new	new	ADJ
ap-1414	72	7	phase	phase	NOUN
ap-1414	72	8	space	space	NOUN
ap-1414	72	9	variables	variable	NOUN
ap-1414	72	10	:	:	PUNCT
ap-1414	72	11	ξa	ξa	X
ap-1414	72	12	:	:	PUNCT
ap-1414	73	1	=	=	SYM
ap-1414	73	2	h̄ωabπb	h̄ωabπb	ADJ
ap-1414	73	3	.	.	PUNCT
ap-1414	74	1	(	(	PUNCT
ap-1414	74	2	3.15	3.15	NUM
ap-1414	74	3	)	)	PUNCT
ap-1414	74	4	kqu	kqu	NOUN
ap-1414	74	5	then	then	ADV
ap-1414	74	6	takes	take	VERB
ap-1414	74	7	the	the	DET
ap-1414	74	8	integral	integral	ADJ
ap-1414	74	9	form	form	NOUN
ap-1414	74	10	kqu(ϕf	kqu(ϕf	ADJ
ap-1414	74	11	,	,	PUNCT
ap-1414	74	12	tf	tf	INTJ
ap-1414	74	13	|ϕi	|ϕi	PROPN
ap-1414	74	14	,	,	PUNCT
ap-1414	74	15	ti	ti	NOUN
ap-1414	74	16	)	)	PUNCT
ap-1414	74	17	=	=	NOUN
ap-1414	74	18	∫	∫	NOUN
ap-1414	74	19	φf	φf	X
ap-1414	74	20	φi	φi	ADP
ap-1414	74	21	dϕadξa	dϕadξa	PROPN
ap-1414	74	22	exp	exp	NOUN
ap-1414	74	23	{	{	PUNCT
ap-1414	74	24	i	i	PRON
ap-1414	74	25	h̄	h̄	X
ap-1414	74	26	sm	sm	PROPN
ap-1414	75	1	[	[	X
ap-1414	75	2	φ	φ	X
ap-1414	75	3	,	,	PUNCT
ap-1414	75	4	ξ	ξ	X
ap-1414	75	5	]	]	PUNCT
ap-1414	75	6	}	}	PUNCT
ap-1414	75	7	,	,	PUNCT
ap-1414	75	8	(	(	PUNCT
ap-1414	75	9	3.16	3.16	NUM
ap-1414	75	10	)	)	PUNCT
ap-1414	76	1	where	where	SCONJ
ap-1414	76	2	sm	sm	PROPN
ap-1414	76	3	[	[	X
ap-1414	76	4	ϕ	ϕ	X
ap-1414	76	5	,	,	PUNCT
ap-1414	76	6	ξ	ξ	X
ap-1414	76	7	]	]	PUNCT
ap-1414	77	1	=	=	SYM
ap-1414	77	2	∫	∫	PROPN
ap-1414	77	3	tf	tf	INTJ
ap-1414	77	4	ti	ti	PROPN
ap-1414	77	5	dtlm	dtlm	PROPN
ap-1414	77	6	(	(	PUNCT
ap-1414	77	7	φ	φ	PROPN
ap-1414	77	8	,	,	PUNCT
ap-1414	77	9	ξ	ξ	X
ap-1414	77	10	)	)	PUNCT
ap-1414	77	11	(	(	PUNCT
ap-1414	77	12	3.17	3.17	NUM
ap-1414	77	13	)	)	PUNCT
ap-1414	77	14	with	with	ADP
ap-1414	77	15	lm	lm	INTJ
ap-1414	77	16	(	(	PUNCT
ap-1414	77	17	φ	φ	PROPN
ap-1414	77	18	,	,	PUNCT
ap-1414	77	19	ξ	ξ	X
ap-1414	77	20	)	)	PUNCT
ap-1414	77	21	=	=	PUNCT
ap-1414	78	1	ϕ̇aωabξ	ϕ̇aωabξ	PROPN
ap-1414	78	2	b	b	NOUN
ap-1414	78	3	+	+	CCONJ
ap-1414	78	4	(	(	PUNCT
ap-1414	78	5	3.18	3.18	NUM
ap-1414	78	6	)	)	PUNCT
ap-1414	78	7	1	1	NUM
ap-1414	78	8	2	2	NUM
ap-1414	78	9	[	[	X
ap-1414	78	10	hcl(ϕ	hcl(ϕ	X
ap-1414	78	11	+	+	SYM
ap-1414	78	12	ξ	ξ	NOUN
ap-1414	78	13	)	)	PUNCT
ap-1414	79	1	−	−	PROPN
ap-1414	79	2	hcl(ϕ	hcl(ϕ	PROPN
ap-1414	79	3	−	−	PROPN
ap-1414	79	4	ξ	ξ	PROPN
ap-1414	79	5	)	)	PUNCT
ap-1414	80	1	]	]	PUNCT
ap-1414	80	2	we	we	PRON
ap-1414	80	3	stress	stress	VERB
ap-1414	80	4	again	again	ADV
ap-1414	80	5	that	that	SCONJ
ap-1414	80	6	the	the	DET
ap-1414	80	7	formalism	formalism	NOUN
ap-1414	80	8	of	of	ADP
ap-1414	80	9	(	(	PUNCT
ap-1414	80	10	3.16	3.16	NUM
ap-1414	80	11	)	)	PUNCT
ap-1414	80	12	is	be	AUX
ap-1414	80	13	misleading	misleading	ADJ
ap-1414	80	14	,	,	PUNCT
ap-1414	80	15	in	in	SCONJ
ap-1414	80	16	that	that	SCONJ
ap-1414	80	17	it	it	PRON
ap-1414	80	18	suggests	suggest	VERB
ap-1414	80	19	that	that	SCONJ
ap-1414	80	20	the	the	DET
ap-1414	80	21	stationary	stationary	ADJ
ap-1414	80	22	phase	phase	NOUN
ap-1414	80	23	approximation	approximation	NOUN
ap-1414	80	24	is	be	AUX
ap-1414	80	25	also	also	ADV
ap-1414	80	26	a	a	DET
ap-1414	80	27	small	small	ADJ
ap-1414	80	28	-	-	PUNCT
ap-1414	80	29	h̄	h̄	NOUN
ap-1414	80	30	result	result	NOUN
ap-1414	80	31	,	,	PUNCT
ap-1414	80	32	whereas	whereas	SCONJ
ap-1414	80	33	sm	sm	PROPN
ap-1414	80	34	is	be	AUX
ap-1414	80	35	o(h̄	o(h̄	NUM
ap-1414	80	36	)	)	PUNCT
ap-1414	80	37	.	.	PUNCT
ap-1414	81	1	despite	despite	SCONJ
ap-1414	81	2	that	that	PRON
ap-1414	81	3	,	,	PUNCT
ap-1414	81	4	there	there	PRON
ap-1414	81	5	has	have	AUX
ap-1414	81	6	been	be	AUX
ap-1414	81	7	considerable	considerable	ADJ
ap-1414	81	8	work	work	NOUN
ap-1414	81	9	that	that	PRON
ap-1414	81	10	successfully	successfully	ADV
ap-1414	81	11	utilises	utilise	VERB
ap-1414	81	12	the	the	DET
ap-1414	81	13	stationary	stationary	ADJ
ap-1414	81	14	-	-	PUNCT
ap-1414	81	15	phase	phase	NOUN
ap-1414	81	16	solutions	solution	NOUN
ap-1414	81	17	[	[	AUX
ap-1414	81	18	see	see	VERB
ap-1414	81	19	[	[	X
ap-1414	81	20	17	17	NUM
ap-1414	81	21	]	]	PUNCT
ap-1414	81	22	and	and	CCONJ
ap-1414	81	23	applications	application	NOUN
ap-1414	81	24	cited	cite	VERB
ap-1414	81	25	therein	therein	ADV
ap-1414	81	26	]	]	PUNCT
ap-1414	81	27	.	.	PUNCT
ap-1414	82	1	3.1	3.1	NUM
ap-1414	82	2	structure	structure	NOUN
ap-1414	82	3	of	of	ADP
ap-1414	82	4	mfqm	mfqm	NOUN
ap-1414	82	5	let	let	VERB
ap-1414	82	6	us	we	PRON
ap-1414	82	7	define	define	VERB
ap-1414	82	8	ξ1	ξ1	NOUN
ap-1414	82	9	:	:	PUNCT
ap-1414	82	10	=	=	SYM
ap-1414	82	11	y	y	PROPN
ap-1414	82	12	,	,	PUNCT
ap-1414	82	13	ξ2	ξ2	NOUN
ap-1414	82	14	:	:	PUNCT
ap-1414	82	15	=	=	PUNCT
ap-1414	82	16	q	q	X
ap-1414	82	17	and	and	CCONJ
ap-1414	82	18	h±	h±	NOUN
ap-1414	82	19	:	:	PUNCT
ap-1414	82	20	=	=	SYM
ap-1414	82	21	1	1	NUM
ap-1414	82	22	2	2	NUM
ap-1414	82	23	[	[	X
ap-1414	82	24	hcl(ϕ	hcl(ϕ	X
ap-1414	82	25	+	+	SYM
ap-1414	82	26	ξ	ξ	X
ap-1414	82	27	)	)	PUNCT
ap-1414	82	28	±	±	NOUN
ap-1414	82	29	hcl(ϕ	hcl(ϕ	NOUN
ap-1414	82	30	−	−	PROPN
ap-1414	82	31	ξ	ξ	PROPN
ap-1414	82	32	)	)	PUNCT
ap-1414	82	33	]	]	X
ap-1414	82	34	(	(	PUNCT
ap-1414	82	35	3.19	3.19	NUM
ap-1414	82	36	)	)	PUNCT
ap-1414	82	37	with	with	ADP
ap-1414	82	38	ϕ±	ϕ±	PROPN
ap-1414	82	39	ξ	ξ	X
ap-1414	82	40	=	=	SYM
ap-1414	82	41	(	(	PUNCT
ap-1414	82	42	x±y	x±y	PROPN
ap-1414	82	43	,	,	PUNCT
ap-1414	82	44	p±	p±	PROPN
ap-1414	82	45	q	q	NOUN
ap-1414	82	46	)	)	PUNCT
ap-1414	82	47	.	.	PUNCT
ap-1414	83	1	we	we	PRON
ap-1414	83	2	rearrange	rearrange	VERB
ap-1414	83	3	the	the	DET
ap-1414	83	4	original	original	ADJ
ap-1414	83	5	extended	extend	VERB
ap-1414	83	6	phase	phase	NOUN
ap-1414	83	7	-	-	PUNCT
ap-1414	83	8	space	space	NOUN
ap-1414	83	9	(	(	PUNCT
ap-1414	83	10	ϕ	ϕ	NOUN
ap-1414	83	11	,	,	PUNCT
ap-1414	83	12	π	π	NOUN
ap-1414	83	13	)	)	PUNCT
ap-1414	83	14	into	into	ADP
ap-1414	83	15	the	the	DET
ap-1414	83	16	4d	4d	NUM
ap-1414	83	17	phase	phase	NOUN
ap-1414	83	18	space	space	NOUN
ap-1414	83	19	x	x	X
ap-1414	83	20	:	:	PUNCT
ap-1414	83	21	x1	x1	NUM
ap-1414	83	22	:	:	PUNCT
ap-1414	83	23	=	=	SYM
ap-1414	83	24	x	x	X
ap-1414	83	25	,	,	PUNCT
ap-1414	83	26	x2	x2	INTJ
ap-1414	83	27	:	:	PUNCT
ap-1414	83	28	=	=	SYM
ap-1414	83	29	y	y	NOUN
ap-1414	83	30	,	,	PUNCT
ap-1414	83	31	x3	x3	VERB
ap-1414	83	32	:	:	PUNCT
ap-1414	84	1	=	=	SYM
ap-1414	84	2	p	p	X
ap-1414	84	3	,	,	PUNCT
ap-1414	84	4	x4	x4	PROPN
ap-1414	84	5	=	=	SYM
ap-1414	84	6	q.	q.	PROPN
ap-1414	84	7	on	on	ADP
ap-1414	84	8	x	x	SYM
ap-1414	84	9	we	we	PRON
ap-1414	84	10	introduce	introduce	VERB
ap-1414	84	11	the	the	DET
ap-1414	84	12	poisson	poisson	NOUN
ap-1414	84	13	bracket	bracket	NOUN
ap-1414	84	14	{	{	PUNCT
ap-1414	84	15	{	{	PUNCT
ap-1414	84	16	·	·	PUNCT
ap-1414	84	17	,	,	PUNCT
ap-1414	84	18	·	·	PUNCT
ap-1414	84	19	}	}	PUNCT
ap-1414	84	20	}	}	PUNCT
ap-1414	84	21	:	:	PUNCT
ap-1414	84	22	{	{	PUNCT
ap-1414	84	23	{	{	PUNCT
ap-1414	84	24	a	a	PROPN
ap-1414	84	25	,	,	PUNCT
ap-1414	84	26	b	b	NOUN
ap-1414	84	27	}	}	PUNCT
ap-1414	84	28	}	}	PUNCT
ap-1414	84	29	:	:	PUNCT
ap-1414	85	1	=	=	SYM
ap-1414	85	2	ωab	ωab	X
ap-1414	85	3	∂aa	∂aa	NOUN
ap-1414	85	4	∂bb	∂bb	NOUN
ap-1414	85	5	,	,	PUNCT
ap-1414	85	6	(	(	PUNCT
ap-1414	85	7	3.20	3.20	NUM
ap-1414	85	8	)	)	PUNCT
ap-1414	85	9	where	where	SCONJ
ap-1414	85	10	ω	ω	NOUN
ap-1414	85	11	=	=	SYM
ap-1414	85	12	(	(	PUNCT
ap-1414	85	13	0	0	NUM
ap-1414	85	14	i	i	PRON
ap-1414	85	15	−i	−i	PROPN
ap-1414	85	16	0	0	NUM
ap-1414	85	17	)	)	PUNCT
ap-1414	85	18	.	.	PUNCT
ap-1414	86	1	(	(	PUNCT
ap-1414	86	2	3.21	3.21	NUM
ap-1414	86	3	)	)	PUNCT
ap-1414	86	4	hamilton	hamilton	PROPN
ap-1414	86	5	’s	’s	PART
ap-1414	86	6	equations	equation	NOUN
ap-1414	86	7	,	,	PUNCT
ap-1414	86	8	which	which	PRON
ap-1414	86	9	reduce	reduce	VERB
ap-1414	86	10	to	to	ADP
ap-1414	86	11	δsqu	δsqu	NOUN
ap-1414	86	12	=	=	SYM
ap-1414	86	13	0	0	PROPN
ap-1414	86	14	,	,	PUNCT
ap-1414	86	15	then	then	ADV
ap-1414	86	16	take	take	VERB
ap-1414	86	17	the	the	DET
ap-1414	86	18	form	form	NOUN
ap-1414	86	19	ẋa	ẋa	PROPN
ap-1414	86	20	=	=	SYM
ap-1414	86	21	{	{	PUNCT
ap-1414	86	22	{	{	PUNCT
ap-1414	86	23	xa	xa	PROPN
ap-1414	86	24	,	,	PUNCT
ap-1414	86	25	h+(x	h+(x	PROPN
ap-1414	86	26	)	)	PUNCT
ap-1414	86	27	}	}	PUNCT
ap-1414	86	28	}	}	PUNCT
ap-1414	86	29	=	=	SYM
ap-1414	86	30	ωab∂bh	ωab∂bh	NUM
ap-1414	86	31	+	+	NOUN
ap-1414	86	32	(	(	PUNCT
ap-1414	86	33	x	x	NOUN
ap-1414	86	34	)	)	PUNCT
ap-1414	86	35	.	.	PUNCT
ap-1414	87	1	(	(	PUNCT
ap-1414	87	2	3.22	3.22	NUM
ap-1414	87	3	)	)	PUNCT
ap-1414	87	4	since	since	SCONJ
ap-1414	87	5	h+	h+	X
ap-1414	87	6	and	and	CCONJ
ap-1414	87	7	h−	h−	PROPN
ap-1414	87	8	are	be	AUX
ap-1414	87	9	related	relate	VERB
ap-1414	87	10	by	by	ADP
ap-1414	87	11	∂ah−	∂ah−	PROPN
ap-1414	87	12	=	=	SYM
ap-1414	87	13	γb	γb	PROPN
ap-1414	87	14	a∂bh	a∂bh	PROPN
ap-1414	88	1	+	+	PROPN
ap-1414	88	2	,	,	PUNCT
ap-1414	88	3	where	where	SCONJ
ap-1414	88	4	γ	γ	X
ap-1414	88	5	=	=	X
ap-1414	88	6	(	(	PUNCT
ap-1414	88	7	σ1	σ1	NOUN
ap-1414	88	8	0	0	NUM
ap-1414	88	9	0	0	NUM
ap-1414	88	10	σ1	σ1	NOUN
ap-1414	88	11	)	)	PUNCT
ap-1414	88	12	(	(	PUNCT
ap-1414	88	13	3.23	3.23	NUM
ap-1414	88	14	)	)	PUNCT
ap-1414	88	15	it	it	PRON
ap-1414	88	16	follows	follow	VERB
ap-1414	88	17	that	that	SCONJ
ap-1414	88	18	{	{	PUNCT
ap-1414	88	19	{	{	PUNCT
ap-1414	88	20	h−	h−	PROPN
ap-1414	88	21	,	,	PUNCT
ap-1414	88	22	h+	h+	ADJ
ap-1414	88	23	}	}	PUNCT
ap-1414	88	24	}	}	PUNCT
ap-1414	88	25	=	=	PUNCT
ap-1414	88	26	ωacγb	ωacγb	PROPN
ap-1414	88	27	c	c	PROPN
ap-1414	88	28	∂ah+	∂ah+	PROPN
ap-1414	89	1	∂bh	∂bh	PROPN
ap-1414	89	2	+	+	CCONJ
ap-1414	89	3	=	=	SYM
ap-1414	89	4	0	0	NUM
ap-1414	89	5	,	,	PUNCT
ap-1414	89	6	(	(	PUNCT
ap-1414	89	7	3.24	3.24	NUM
ap-1414	89	8	)	)	PUNCT
ap-1414	89	9	since	since	SCONJ
ap-1414	89	10	ωγ	ωγ	PROPN
ap-1414	89	11	is	be	AUX
ap-1414	89	12	antisymmetric	antisymmetric	ADJ
ap-1414	89	13	.	.	PUNCT
ap-1414	90	1	h−	h−	PROPN
ap-1414	90	2	=	=	PUNCT
ap-1414	90	3	const	const	PROPN
ap-1414	90	4	.	.	PUNCT
ap-1414	90	5	is	be	AUX
ap-1414	90	6	a	a	DET
ap-1414	90	7	first	first	ADJ
ap-1414	90	8	class	class	NOUN
ap-1414	90	9	constraint	constraint	NOUN
ap-1414	90	10	upon	upon	SCONJ
ap-1414	90	11	the	the	DET
ap-1414	90	12	effective	effective	ADJ
ap-1414	90	13	classical	classical	ADJ
ap-1414	90	14	theory	theory	NOUN
ap-1414	90	15	.	.	PUNCT
ap-1414	91	1	we	we	PRON
ap-1414	91	2	note	note	VERB
ap-1414	91	3	that	that	SCONJ
ap-1414	91	4	there	there	PRON
ap-1414	91	5	is	be	VERB
ap-1414	91	6	an	an	DET
ap-1414	91	7	equivalence	equivalence	NOUN
ap-1414	91	8	between	between	ADP
ap-1414	91	9	h+	h+	PROPN
ap-1414	91	10	and	and	CCONJ
ap-1414	91	11	h−	h−	VERB
ap-1414	91	12	in	in	ADP
ap-1414	91	13	that	that	PRON
ap-1414	91	14	,	,	PUNCT
ap-1414	91	15	with	with	ADP
ap-1414	91	16	respect	respect	NOUN
ap-1414	91	17	to	to	ADP
ap-1414	91	18	a	a	DET
ap-1414	91	19	slightly	slightly	ADV
ap-1414	91	20	different	different	ADJ
ap-1414	91	21	symplectic	symplectic	ADJ
ap-1414	91	22	matrix	matrix	NOUN
ap-1414	91	23	ω′	ω′	PROPN
ap-1414	91	24	,	,	PUNCT
ap-1414	91	25	we	we	PRON
ap-1414	91	26	could	could	AUX
ap-1414	91	27	equally	equally	ADV
ap-1414	91	28	derive	derive	VERB
ap-1414	91	29	the	the	DET
ap-1414	91	30	equations	equation	NOUN
ap-1414	91	31	of	of	ADP
ap-1414	91	32	motion	motion	NOUN
ap-1414	91	33	from	from	ADP
ap-1414	91	34	h−	h−	PROPN
ap-1414	91	35	as	as	ADP
ap-1414	91	36	ẋa	ẋa	PROPN
ap-1414	91	37	=	=	SYM
ap-1414	91	38	{	{	PUNCT
ap-1414	91	39	{	{	PUNCT
ap-1414	91	40	xa	xa	PROPN
ap-1414	91	41	,	,	PUNCT
ap-1414	91	42	h−(x)}}′	h−(x)}}′	PROPN
ap-1414	91	43	=	=	X
ap-1414	91	44	ω′ab∂bh	ω′ab∂bh	NOUN
ap-1414	91	45	−(x	−(x	NOUN
ap-1414	91	46	)	)	PUNCT
ap-1414	91	47	.	.	PUNCT
ap-1414	92	1	(	(	PUNCT
ap-1414	92	2	3.25	3.25	NUM
ap-1414	92	3	)	)	PUNCT
ap-1414	92	4	this	this	PRON
ap-1414	92	5	is	be	AUX
ap-1414	92	6	more	more	ADJ
ap-1414	92	7	in	in	ADP
ap-1414	92	8	accord	accord	NOUN
ap-1414	92	9	with	with	ADP
ap-1414	92	10	the	the	DET
ap-1414	92	11	closed	closed	ADJ
ap-1414	92	12	timepath	timepath	NOUN
ap-1414	92	13	formalism	formalism	NOUN
ap-1414	92	14	(	(	PUNCT
ap-1414	92	15	ctp	ctp	PROPN
ap-1414	92	16	)	)	PUNCT
ap-1414	92	17	,	,	PUNCT
ap-1414	92	18	defined	define	VERB
ap-1414	92	19	in	in	ADP
ap-1414	92	20	the	the	DET
ap-1414	92	21	extended	extended	ADJ
ap-1414	92	22	(	(	PUNCT
ap-1414	92	23	x	x	NOUN
ap-1414	92	24	,	,	PUNCT
ap-1414	92	25	y	y	NOUN
ap-1414	92	26	)	)	PUNCT
ap-1414	92	27	coordinate	coordinate	NOUN
ap-1414	92	28	space	space	NOUN
ap-1414	92	29	,	,	PUNCT
ap-1414	92	30	for	for	ADP
ap-1414	92	31	which	which	PRON
ap-1414	92	32	h−	h−	PROPN
ap-1414	92	33	is	be	AUX
ap-1414	92	34	the	the	DET
ap-1414	92	35	relevant	relevant	ADJ
ap-1414	92	36	hamiltonian	hamiltonian	NOUN
ap-1414	92	37	prior	prior	ADV
ap-1414	92	38	to	to	ADP
ap-1414	92	39	momentum	momentum	NOUN
ap-1414	92	40	integration	integration	NOUN
ap-1414	92	41	.	.	PUNCT
ap-1414	93	1	we	we	PRON
ap-1414	93	2	shall	shall	AUX
ap-1414	93	3	not	not	PART
ap-1414	93	4	pursue	pursue	VERB
ap-1414	93	5	this	this	PRON
ap-1414	93	6	further	far	ADV
ap-1414	93	7	.	.	PUNCT
ap-1414	94	1	the	the	DET
ap-1414	94	2	classical	classical	ADJ
ap-1414	94	3	limit	limit	NOUN
ap-1414	94	4	is	be	AUX
ap-1414	94	5	straightforward	straightforward	ADJ
ap-1414	94	6	.	.	PUNCT
ap-1414	95	1	remember	remember	VERB
ap-1414	95	2	that	that	SCONJ
ap-1414	95	3	y	y	PROPN
ap-1414	95	4	=	=	PUNCT
ap-1414	95	5	h̄ȳ	h̄ȳ	PROPN
ap-1414	95	6	,	,	PUNCT
ap-1414	95	7	q	q	X
ap-1414	96	1	=	=	PUNCT
ap-1414	96	2	h̄q̄	h̄q̄	X
ap-1414	96	3	where	where	SCONJ
ap-1414	96	4	ȳ	ȳ	PROPN
ap-1414	96	5	,	,	PUNCT
ap-1414	96	6	q̄	q̄	ADJ
ap-1414	96	7	are	be	AUX
ap-1414	96	8	the	the	DET
ap-1414	96	9	o(h̄0	o(h̄0	NOUN
ap-1414	96	10	)	)	PUNCT
ap-1414	96	11	kvn	kvn	PROPN
ap-1414	96	12	conjugate	conjugate	VERB
ap-1414	96	13	variables	variable	NOUN
ap-1414	96	14	to	to	ADP
ap-1414	96	15	p	p	NOUN
ap-1414	96	16	and	and	CCONJ
ap-1414	96	17	x.	x.	NOUN
ap-1414	96	18	as	as	ADP
ap-1414	96	19	h̄	h̄	NOUN
ap-1414	96	20	→	→	SYM
ap-1414	96	21	0	0	NUM
ap-1414	96	22	then	then	ADV
ap-1414	96	23	y	y	PROPN
ap-1414	96	24	,	,	PUNCT
ap-1414	96	25	q	q	X
ap-1414	96	26	→	→	SYM
ap-1414	96	27	0	0	NUM
ap-1414	96	28	,	,	PUNCT
ap-1414	96	29	as	as	SCONJ
ap-1414	96	30	does	do	VERB
ap-1414	96	31	h−	h−	NOUN
ap-1414	96	32	=	=	SYM
ap-1414	96	33	o(h̄	o(h̄	NOUN
ap-1414	96	34	)	)	PUNCT
ap-1414	96	35	→	→	SYM
ap-1414	96	36	0	0	X
ap-1414	96	37	.	.	PUNCT
ap-1414	97	1	(	(	PUNCT
ap-1414	97	2	3.26	3.26	NUM
ap-1414	97	3	)	)	PUNCT
ap-1414	97	4	at	at	ADP
ap-1414	97	5	the	the	DET
ap-1414	97	6	same	same	ADJ
ap-1414	97	7	time	time	NOUN
ap-1414	97	8	we	we	PRON
ap-1414	97	9	get	get	VERB
ap-1414	97	10	the	the	DET
ap-1414	97	11	contraction	contraction	NOUN
ap-1414	97	12	h+	h+	X
ap-1414	97	13	→	→	SYM
ap-1414	97	14	hcl	hcl	PROPN
ap-1414	97	15	,	,	PUNCT
ap-1414	97	16	ω	ω	PROPN
ap-1414	97	17	→	→	SYM
ap-1414	97	18	ω	ω	PROPN
ap-1414	97	19	.	.	PROPN
ap-1414	97	20	85	85	NUM
ap-1414	97	21	acta	acta	PROPN
ap-1414	97	22	polytechnica	polytechnica	PROPN
ap-1414	97	23	vol	vol	NOUN
ap-1414	97	24	.	.	PUNCT
ap-1414	98	1	51	51	NUM
ap-1414	98	2	no	no	INTJ
ap-1414	98	3	.	.	PUNCT
ap-1414	99	1	4/2011	4/2011	NUM
ap-1414	99	2	4	4	NUM
ap-1414	99	3	complex	complex	ADJ
ap-1414	99	4	classical	classical	ADJ
ap-1414	99	5	mechanics	mechanic	NOUN
ap-1414	99	6	(	(	PUNCT
ap-1414	99	7	ccm	ccm	NOUN
ap-1414	99	8	)	)	PUNCT
ap-1414	99	9	we	we	PRON
ap-1414	99	10	now	now	ADV
ap-1414	99	11	consider	consider	VERB
ap-1414	99	12	complex	complex	ADJ
ap-1414	99	13	phase	phase	NOUN
ap-1414	99	14	space	space	NOUN
ap-1414	99	15	,	,	PUNCT
ap-1414	99	16	repeating	repeat	VERB
ap-1414	99	17	the	the	DET
ap-1414	99	18	analysis	analysis	NOUN
ap-1414	99	19	of	of	ADP
ap-1414	99	20	smilga	smilga	ADJ
ap-1414	100	1	[	[	X
ap-1414	100	2	18	18	NUM
ap-1414	100	3	]	]	PUNCT
ap-1414	100	4	,	,	PUNCT
ap-1414	100	5	taking	take	VERB
ap-1414	100	6	the	the	DET
ap-1414	100	7	complex	complex	ADJ
ap-1414	100	8	extension	extension	NOUN
ap-1414	100	9	of	of	ADP
ap-1414	100	10	the	the	DET
ap-1414	100	11	real	real	ADJ
ap-1414	100	12	phase	phase	NOUN
ap-1414	100	13	-	-	PUNCT
ap-1414	100	14	space	space	NOUN
ap-1414	100	15	as	as	ADP
ap-1414	100	16	x	x	X
ap-1414	100	17	→	→	SYM
ap-1414	100	18	z	z	NOUN
ap-1414	100	19	=	=	SYM
ap-1414	100	20	x	x	SYM
ap-1414	100	21	+	+	CCONJ
ap-1414	101	1	iy	iy	PROPN
ap-1414	101	2	,	,	PUNCT
ap-1414	101	3	p	p	X
ap-1414	101	4	→	→	X
ap-1414	101	5	p	p	X
ap-1414	101	6	=	=	PUNCT
ap-1414	101	7	p	p	X
ap-1414	101	8	−	−	PROPN
ap-1414	101	9	iq	iq	NOUN
ap-1414	101	10	.	.	PUNCT
ap-1414	102	1	(	(	PUNCT
ap-1414	102	2	4.27	4.27	NUM
ap-1414	102	3	)	)	PUNCT
ap-1414	102	4	the	the	DET
ap-1414	102	5	hamiltonian	hamiltonian	ADJ
ap-1414	102	6	hcl	hcl	PROPN
ap-1414	102	7	is	be	AUX
ap-1414	102	8	decomposed	decompose	VERB
ap-1414	102	9	as	as	ADP
ap-1414	102	10	hcl(p	hcl(p	PROPN
ap-1414	102	11	,	,	PUNCT
ap-1414	102	12	x	x	NOUN
ap-1414	102	13	)	)	PUNCT
ap-1414	102	14	→	→	SYM
ap-1414	102	15	(	(	PUNCT
ap-1414	102	16	4.28	4.28	NUM
ap-1414	102	17	)	)	PUNCT
ap-1414	102	18	hcl(p	hcl(p	PROPN
ap-1414	102	19	,	,	PUNCT
ap-1414	102	20	z	z	NOUN
ap-1414	102	21	)	)	PUNCT
ap-1414	102	22	=	=	NOUN
ap-1414	103	1	hr(p	hr(p	X
ap-1414	103	2	,	,	PUNCT
ap-1414	103	3	z	z	NOUN
ap-1414	103	4	)	)	PUNCT
ap-1414	104	1	+	+	NUM
ap-1414	104	2	ihi(p	ihi(p	NOUN
ap-1414	104	3	,	,	PUNCT
ap-1414	104	4	z	z	NOUN
ap-1414	104	5	)	)	PUNCT
ap-1414	104	6	,	,	PUNCT
ap-1414	104	7	where	where	SCONJ
ap-1414	104	8	hr	hr	NOUN
ap-1414	104	9	=	=	NOUN
ap-1414	104	10	1	1	NUM
ap-1414	104	11	2	2	NUM
ap-1414	104	12	[	[	X
ap-1414	104	13	hcl(x	hcl(x	PROPN
ap-1414	104	14	+	+	NUM
ap-1414	104	15	iy	iy	PROPN
ap-1414	104	16	,	,	PUNCT
ap-1414	104	17	p−	p−	NOUN
ap-1414	104	18	iq	iq	NOUN
ap-1414	104	19	)	)	PUNCT
ap-1414	105	1	+	+	CCONJ
ap-1414	105	2	(	(	PUNCT
ap-1414	105	3	4.29	4.29	NUM
ap-1414	105	4	)	)	PUNCT
ap-1414	105	5	hcl(x	hcl(x	PROPN
ap-1414	105	6	−	−	PROPN
ap-1414	105	7	iy	iy	PROPN
ap-1414	105	8	,	,	PUNCT
ap-1414	105	9	p	p	X
ap-1414	105	10	+	+	X
ap-1414	105	11	iq	iq	NOUN
ap-1414	105	12	)	)	PUNCT
ap-1414	105	13	]	]	PUNCT
ap-1414	105	14	,	,	PUNCT
ap-1414	105	15	hi	hi	INTJ
ap-1414	105	16	=	=	SYM
ap-1414	105	17	1	1	NUM
ap-1414	105	18	2i	2i	NOUN
ap-1414	105	19	[	[	X
ap-1414	105	20	hcl(x	hcl(x	PROPN
ap-1414	105	21	+	+	CCONJ
ap-1414	105	22	iy	iy	PROPN
ap-1414	105	23	,	,	PUNCT
ap-1414	105	24	p	p	NOUN
ap-1414	105	25	−	−	PROPN
ap-1414	105	26	iq	iq	NOUN
ap-1414	105	27	)	)	PUNCT
ap-1414	105	28	−	−	PROPN
ap-1414	105	29	(	(	PUNCT
ap-1414	105	30	4.30	4.30	NUM
ap-1414	105	31	)	)	PUNCT
ap-1414	105	32	hcl(x	hcl(x	PROPN
ap-1414	105	33	−	−	PROPN
ap-1414	105	34	iy	iy	PROPN
ap-1414	105	35	,	,	PUNCT
ap-1414	105	36	p	p	X
ap-1414	105	37	+	+	X
ap-1414	105	38	iq	iq	NOUN
ap-1414	105	39	)	)	PUNCT
ap-1414	105	40	]	]	PUNCT
ap-1414	105	41	.	.	PUNCT
ap-1414	106	1	to	to	PART
ap-1414	106	2	see	see	VERB
ap-1414	106	3	the	the	DET
ap-1414	106	4	symplectic	symplectic	ADJ
ap-1414	106	5	structure	structure	NOUN
ap-1414	106	6	of	of	ADP
ap-1414	106	7	ccm	ccm	NOUN
ap-1414	106	8	we	we	PRON
ap-1414	106	9	label	label	VERB
ap-1414	106	10	the	the	DET
ap-1414	106	11	phase	phase	NOUN
ap-1414	106	12	-	-	PUNCT
ap-1414	106	13	space	space	NOUN
ap-1414	106	14	variables	variable	NOUN
ap-1414	106	15	xa	xa	PROPN
ap-1414	106	16	as	as	ADP
ap-1414	106	17	before	before	ADV
ap-1414	106	18	:	:	PUNCT
ap-1414	106	19	x1	x1	NUM
ap-1414	106	20	:	:	PUNCT
ap-1414	106	21	=	=	SYM
ap-1414	106	22	x	x	X
ap-1414	106	23	,	,	PUNCT
ap-1414	106	24	x2	x2	INTJ
ap-1414	106	25	:	:	PUNCT
ap-1414	106	26	=	=	SYM
ap-1414	106	27	y	y	NOUN
ap-1414	106	28	,	,	PUNCT
ap-1414	106	29	x3	x3	VERB
ap-1414	106	30	:	:	PUNCT
ap-1414	107	1	=	=	SYM
ap-1414	107	2	p	p	X
ap-1414	107	3	,	,	PUNCT
ap-1414	107	4	x4	x4	PROPN
ap-1414	107	5	=	=	SYM
ap-1414	107	6	q.	q.	PROPN
ap-1414	107	7	(	(	PUNCT
ap-1414	107	8	4.31	4.31	NUM
ap-1414	107	9	)	)	PUNCT
ap-1414	107	10	and	and	CCONJ
ap-1414	107	11	introduce	introduce	VERB
ap-1414	107	12	an	an	DET
ap-1414	107	13	identical	identical	ADJ
ap-1414	107	14	poisson	poisson	NOUN
ap-1414	107	15	bracket	bracket	NOUN
ap-1414	107	16	{	{	PUNCT
ap-1414	107	17	{	{	PUNCT
ap-1414	107	18	·	·	PUNCT
ap-1414	107	19	,	,	PUNCT
ap-1414	107	20	·	·	PUNCT
ap-1414	107	21	}	}	PUNCT
ap-1414	107	22	}	}	PUNCT
ap-1414	107	23	to	to	ADP
ap-1414	107	24	(	(	PUNCT
ap-1414	107	25	3.20	3.20	NUM
ap-1414	107	26	):	):	PUNCT
ap-1414	107	27	{	{	PUNCT
ap-1414	107	28	{	{	PUNCT
ap-1414	107	29	a	a	PROPN
ap-1414	107	30	,	,	PUNCT
ap-1414	107	31	b	b	NOUN
ap-1414	107	32	}	}	PUNCT
ap-1414	107	33	}	}	PUNCT
ap-1414	107	34	:	:	PUNCT
ap-1414	107	35	=	=	SYM
ap-1414	107	36	ωab	ωab	X
ap-1414	107	37	∂aa	∂aa	NOUN
ap-1414	107	38	∂bb	∂bb	NOUN
ap-1414	107	39	,	,	PUNCT
ap-1414	107	40	(	(	PUNCT
ap-1414	107	41	4.32	4.32	NUM
ap-1414	107	42	)	)	PUNCT
ap-1414	107	43	for	for	ADP
ap-1414	107	44	the	the	DET
ap-1414	107	45	same	same	ADJ
ap-1414	107	46	ω	ω	PROPN
ap-1414	107	47	.	.	PUNCT
ap-1414	108	1	hamilton	hamilton	PROPN
ap-1414	108	2	’s	’s	PART
ap-1414	108	3	equations	equation	NOUN
ap-1414	108	4	are	be	AUX
ap-1414	108	5	now	now	ADV
ap-1414	108	6	[	[	X
ap-1414	108	7	18	18	NUM
ap-1414	108	8	]	]	PUNCT
ap-1414	108	9	ẋa	ẋa	PROPN
ap-1414	108	10	=	=	SYM
ap-1414	108	11	{	{	PUNCT
ap-1414	108	12	{	{	PUNCT
ap-1414	108	13	xa	xa	PROPN
ap-1414	108	14	,	,	PUNCT
ap-1414	108	15	hr	hr	NOUN
ap-1414	108	16	}	}	PUNCT
ap-1414	108	17	}	}	PUNCT
ap-1414	108	18	=	=	SYM
ap-1414	108	19	ωab∂bhr(x	ωab∂bhr(x	NUM
ap-1414	108	20	)	)	PUNCT
ap-1414	108	21	.	.	PUNCT
ap-1414	109	1	(	(	PUNCT
ap-1414	109	2	4.33	4.33	NUM
ap-1414	109	3	)	)	PUNCT
ap-1414	109	4	hr	hr	NOUN
ap-1414	109	5	and	and	CCONJ
ap-1414	109	6	hi	hi	INTJ
ap-1414	109	7	are	be	AUX
ap-1414	109	8	related	relate	VERB
ap-1414	109	9	by	by	ADP
ap-1414	109	10	cauchy	cauchy	NOUN
ap-1414	109	11	-	-	PUNCT
ap-1414	109	12	reimann	reimann	NOUN
ap-1414	109	13	as	as	ADP
ap-1414	109	14	∂ahi	∂ahi	PUNCT
ap-1414	109	15	=	=	SYM
ap-1414	109	16	λb	λb	PROPN
ap-1414	109	17	a∂bhr	a∂bhr	PROPN
ap-1414	109	18	,	,	PUNCT
ap-1414	109	19	(	(	PUNCT
ap-1414	109	20	4.34	4.34	NUM
ap-1414	109	21	)	)	PUNCT
ap-1414	109	22	where	where	SCONJ
ap-1414	109	23	λ	λ	X
ap-1414	109	24	=	=	PRON
ap-1414	109	25	(	(	PUNCT
ap-1414	109	26	−iσ2	−iσ2	NOUN
ap-1414	109	27	0	0	NUM
ap-1414	109	28	0	0	NUM
ap-1414	109	29	iσ2	iσ2	NOUN
ap-1414	109	30	)	)	PUNCT
ap-1414	109	31	.	.	PUNCT
ap-1414	110	1	(	(	PUNCT
ap-1414	110	2	4.35	4.35	NUM
ap-1414	110	3	)	)	PUNCT
ap-1414	110	4	it	it	PRON
ap-1414	110	5	follows	follow	VERB
ap-1414	110	6	that	that	SCONJ
ap-1414	110	7	{	{	PUNCT
ap-1414	110	8	{	{	PUNCT
ap-1414	110	9	hi	hi	INTJ
ap-1414	110	10	,	,	PUNCT
ap-1414	110	11	hr	hr	NOUN
ap-1414	110	12	}	}	PUNCT
ap-1414	110	13	}	}	PUNCT
ap-1414	110	14	=	=	SYM
ap-1414	110	15	(	(	PUNCT
ap-1414	110	16	ωλ)ab	ωλ)ab	NUM
ap-1414	110	17	∂ahr	∂ahr	NUM
ap-1414	110	18	∂bhr	∂bhr	NUM
ap-1414	110	19	=	=	NOUN
ap-1414	110	20	0	0	PROPN
ap-1414	110	21	,	,	PUNCT
ap-1414	110	22	(	(	PUNCT
ap-1414	110	23	4.36	4.36	NUM
ap-1414	110	24	)	)	PUNCT
ap-1414	110	25	since	since	SCONJ
ap-1414	110	26	ωλ	ωλ	ADJ
ap-1414	110	27	is	be	AUX
ap-1414	110	28	also	also	ADV
ap-1414	110	29	antisymmetric	antisymmetric	ADJ
ap-1414	110	30	.	.	PUNCT
ap-1414	111	1	that	that	PRON
ap-1414	111	2	is	be	AUX
ap-1414	111	3	,	,	PUNCT
ap-1414	111	4	as	as	SCONJ
ap-1414	111	5	before	before	SCONJ
ap-1414	111	6	we	we	PRON
ap-1414	111	7	have	have	VERB
ap-1414	111	8	a	a	DET
ap-1414	111	9	constrained	constrain	VERB
ap-1414	111	10	system	system	NOUN
ap-1414	111	11	with	with	ADP
ap-1414	111	12	first	first	ADJ
ap-1414	111	13	-	-	PUNCT
ap-1414	111	14	order	order	NOUN
ap-1414	111	15	constraint	constraint	NOUN
ap-1414	111	16	hi	hi	INTJ
ap-1414	111	17	=	=	SYM
ap-1414	111	18	constant	constant	ADJ
ap-1414	111	19	.	.	PUNCT
ap-1414	112	1	5	5	NUM
ap-1414	112	2	ccm	ccm	NOUN
ap-1414	112	3	v.	v.	ADP
ap-1414	112	4	mfqm	mfqm	NOUN
ap-1414	112	5	there	there	PRON
ap-1414	112	6	are	be	VERB
ap-1414	112	7	obvious	obvious	ADJ
ap-1414	112	8	similarities	similarity	NOUN
ap-1414	112	9	between	between	ADP
ap-1414	112	10	the	the	DET
ap-1414	112	11	two	two	NUM
ap-1414	112	12	approaches	approach	NOUN
ap-1414	112	13	,	,	PUNCT
ap-1414	112	14	a	a	DET
ap-1414	112	15	consequence	consequence	NOUN
ap-1414	112	16	of	of	ADP
ap-1414	112	17	the	the	DET
ap-1414	112	18	identities	identity	NOUN
ap-1414	112	19	h+(x	h+(x	PROPN
ap-1414	112	20	,	,	PUNCT
ap-1414	112	21	iy	iy	INTJ
ap-1414	112	22	,	,	PUNCT
ap-1414	112	23	p,−iq	p,−iq	NOUN
ap-1414	112	24	)	)	PUNCT
ap-1414	112	25	=	=	SYM
ap-1414	112	26	hr(x	hr(x	PROPN
ap-1414	112	27	,	,	PUNCT
ap-1414	112	28	y	y	PROPN
ap-1414	112	29	,	,	PUNCT
ap-1414	112	30	p	p	X
ap-1414	112	31	,	,	PUNCT
ap-1414	112	32	q	q	ADJ
ap-1414	112	33	)	)	PUNCT
ap-1414	112	34	h−(x	h−(x	PROPN
ap-1414	112	35	,	,	PUNCT
ap-1414	112	36	iy	iy	INTJ
ap-1414	112	37	,	,	PUNCT
ap-1414	112	38	p,−iq	p,−iq	NOUN
ap-1414	112	39	)	)	PUNCT
ap-1414	112	40	=	=	SYM
ap-1414	113	1	ihi(x	ihi(x	PROPN
ap-1414	113	2	,	,	PUNCT
ap-1414	113	3	y	y	PROPN
ap-1414	113	4	,	,	PUNCT
ap-1414	113	5	p	p	X
ap-1414	113	6	,	,	PUNCT
ap-1414	113	7	q	q	NOUN
ap-1414	113	8	)	)	PUNCT
ap-1414	113	9	.	.	PUNCT
ap-1414	114	1	(	(	PUNCT
ap-1414	114	2	5.37	5.37	NUM
ap-1414	114	3	)	)	PUNCT
ap-1414	114	4	since	since	SCONJ
ap-1414	114	5	{	{	PUNCT
ap-1414	114	6	{	{	PUNCT
ap-1414	114	7	y	y	NOUN
ap-1414	114	8	,	,	PUNCT
ap-1414	114	9	q	q	NOUN
ap-1414	114	10	}	}	PUNCT
ap-1414	114	11	}	}	PUNCT
ap-1414	114	12	=	=	SYM
ap-1414	114	13	{	{	PUNCT
ap-1414	114	14	{	{	PUNCT
ap-1414	114	15	iy,−iq	iy,−iq	NOUN
ap-1414	114	16	}	}	PUNCT
ap-1414	114	17	}	}	PUNCT
ap-1414	114	18	we	we	PRON
ap-1414	114	19	can	can	AUX
ap-1414	114	20	see	see	VERB
ap-1414	114	21	why	why	SCONJ
ap-1414	114	22	the	the	DET
ap-1414	114	23	symplectic	symplectic	ADJ
ap-1414	114	24	structure	structure	NOUN
ap-1414	114	25	remains	remain	VERB
ap-1414	114	26	unchanged	unchanged	ADJ
ap-1414	114	27	.	.	PUNCT
ap-1414	115	1	the	the	DET
ap-1414	115	2	similarity	similarity	NOUN
ap-1414	115	3	between	between	ADP
ap-1414	115	4	the	the	DET
ap-1414	115	5	two	two	NUM
ap-1414	115	6	formalisms	formalism	NOUN
ap-1414	115	7	is	be	AUX
ap-1414	115	8	very	very	ADV
ap-1414	115	9	apparent	apparent	ADJ
ap-1414	115	10	for	for	ADP
ap-1414	115	11	the	the	DET
ap-1414	115	12	sho	sho	NOUN
ap-1414	115	13	,	,	PUNCT
ap-1414	115	14	with	with	ADP
ap-1414	115	15	hamiltonian	hamiltonian	ADJ
ap-1414	115	16	hcl	hcl	PROPN
ap-1414	115	17	=	=	NOUN
ap-1414	115	18	1	1	NUM
ap-1414	115	19	2	2	NUM
ap-1414	115	20	(	(	PUNCT
ap-1414	115	21	p2	p2	X
ap-1414	115	22	+	+	CCONJ
ap-1414	115	23	x2	x2	ADJ
ap-1414	115	24	)	)	PUNCT
ap-1414	115	25	.	.	PUNCT
ap-1414	116	1	in	in	ADP
ap-1414	116	2	the	the	DET
ap-1414	116	3	x−y	x−y	ADJ
ap-1414	116	4	plane	plane	NOUN
ap-1414	116	5	we	we	PRON
ap-1414	116	6	find	find	VERB
ap-1414	116	7	identical	identical	ADJ
ap-1414	116	8	solutions	solution	NOUN
ap-1414	116	9	for	for	ADP
ap-1414	116	10	x	x	PUNCT
ap-1414	116	11	and	and	CCONJ
ap-1414	116	12	y	y	PROPN
ap-1414	116	13	in	in	ADP
ap-1414	116	14	both	both	DET
ap-1414	116	15	ccm	ccm	NOUN
ap-1414	116	16	and	and	CCONJ
ap-1414	116	17	mfqm	mfqm	NOUN
ap-1414	116	18	.	.	PUNCT
ap-1414	117	1	these	these	PRON
ap-1414	117	2	are	be	AUX
ap-1414	117	3	tilted	tilt	VERB
ap-1414	117	4	ellipses	ellipsis	NOUN
ap-1414	117	5	x	x	PUNCT
ap-1414	117	6	=	=	PUNCT
ap-1414	117	7	a	a	DET
ap-1414	117	8	sin(t	sin(t	PROPN
ap-1414	117	9	+	+	CCONJ
ap-1414	117	10	α1	α1	PROPN
ap-1414	117	11	)	)	PUNCT
ap-1414	117	12	,	,	PUNCT
ap-1414	117	13	y	y	PROPN
ap-1414	117	14	=	=	SYM
ap-1414	117	15	b	b	PROPN
ap-1414	117	16	sin(t	sin(t	PROPN
ap-1414	117	17	+	+	CCONJ
ap-1414	117	18	α2	α2	ADJ
ap-1414	117	19	)	)	PUNCT
ap-1414	117	20	,	,	PUNCT
ap-1414	117	21	leading	lead	VERB
ap-1414	117	22	to	to	ADP
ap-1414	117	23	identical	identical	ADJ
ap-1414	117	24	h−	h−	NOUN
ap-1414	117	25	and	and	CCONJ
ap-1414	117	26	hi	hi	INTJ
ap-1414	117	27	,	,	PUNCT
ap-1414	117	28	h−	h−	PROPN
ap-1414	117	29	=	=	PUNCT
ap-1414	118	1	hi	hi	INTJ
ap-1414	119	1	=	=	SYM
ap-1414	119	2	ab	ab	PROPN
ap-1414	119	3	cos(α1	cos(α1	NOUN
ap-1414	119	4	−	−	PROPN
ap-1414	119	5	α2	α2	ADV
ap-1414	119	6	)	)	PUNCT
ap-1414	119	7	this	this	PRON
ap-1414	119	8	suggests	suggest	VERB
ap-1414	119	9	a	a	DET
ap-1414	119	10	possible	possible	ADJ
ap-1414	119	11	role	role	NOUN
ap-1414	119	12	for	for	ADP
ap-1414	119	13	h̄	h̄	NOUN
ap-1414	119	14	in	in	ADP
ap-1414	119	15	ccm	ccm	NOUN
ap-1414	119	16	for	for	ADP
ap-1414	119	17	this	this	PRON
ap-1414	119	18	and	and	CCONJ
ap-1414	119	19	other	other	ADJ
ap-1414	119	20	potentials	potential	NOUN
ap-1414	119	21	.	.	PUNCT
ap-1414	120	1	we	we	PRON
ap-1414	120	2	remember	remember	VERB
ap-1414	120	3	that	that	SCONJ
ap-1414	120	4	y	y	PROPN
ap-1414	120	5	=	=	PUNCT
ap-1414	120	6	h̄ȳ	h̄ȳ	PROPN
ap-1414	120	7	,	,	PUNCT
ap-1414	120	8	q	q	X
ap-1414	120	9	=	=	PUNCT
ap-1414	120	10	h̄q̄	h̄q̄	PROPN
ap-1414	120	11	in	in	ADP
ap-1414	120	12	mfqm	mfqm	NOUN
ap-1414	120	13	,	,	PUNCT
ap-1414	120	14	which	which	PRON
ap-1414	120	15	encourages	encourage	VERB
ap-1414	120	16	us	we	PRON
ap-1414	120	17	to	to	PART
ap-1414	120	18	take	take	VERB
ap-1414	120	19	y	y	NOUN
ap-1414	120	20	=	=	PUNCT
ap-1414	120	21	h̄ȳ	h̄ȳ	PROPN
ap-1414	120	22	,	,	PUNCT
ap-1414	120	23	q	q	X
ap-1414	120	24	=	=	SYM
ap-1414	120	25	h̄q̄	h̄q̄	PROPN
ap-1414	120	26	in	in	ADP
ap-1414	120	27	ccm	ccm	PROPN
ap-1414	120	28	.	.	PUNCT
ap-1414	121	1	then	then	ADV
ap-1414	121	2	•	•	NUM
ap-1414	121	3	ccm	ccm	PROPN
ap-1414	121	4	can	can	AUX
ap-1414	121	5	now	now	ADV
ap-1414	121	6	distinguish	distinguish	VERB
ap-1414	121	7	between	between	ADP
ap-1414	121	8	‘	'	PUNCT
ap-1414	121	9	large	large	ADJ
ap-1414	121	10	’	'	PUNCT
ap-1414	121	11	and	and	CCONJ
ap-1414	121	12	‘	'	PUNCT
ap-1414	121	13	small	small	ADJ
ap-1414	121	14	’	'	PUNCT
ap-1414	121	15	systems	system	NOUN
ap-1414	121	16	.	.	PUNCT
ap-1414	122	1	the	the	DET
ap-1414	122	2	conventional	conventional	ADJ
ap-1414	122	3	classical	classical	ADJ
ap-1414	122	4	limit	limit	NOUN
ap-1414	122	5	is	be	AUX
ap-1414	122	6	simply	simply	ADV
ap-1414	122	7	understood	understand	VERB
ap-1414	122	8	as	as	ADP
ap-1414	122	9	the	the	DET
ap-1414	122	10	recovery	recovery	NOUN
ap-1414	122	11	of	of	ADP
ap-1414	122	12	real	real	ADJ
ap-1414	122	13	phase	phase	NOUN
ap-1414	122	14	space	space	NOUN
ap-1414	122	15	.	.	PUNCT
ap-1414	123	1	•	•	NUM
ap-1414	123	2	with	with	ADP
ap-1414	123	3	0me	0me	ADJ
ap-1414	123	4	now	now	ADV
ap-1414	123	5	o(h̄	o(h̄	NOUN
ap-1414	123	6	)	)	PUNCT
ap-1414	123	7	the	the	DET
ap-1414	123	8	empirical	empirical	ADJ
ap-1414	123	9	ccm	ccm	NOUN
ap-1414	123	10	tunnelling	tunnelling	NOUN
ap-1414	123	11	observation	observation	NOUN
ap-1414	123	12	0me	0me	NOUN
ap-1414	123	13	δt	δt	PUNCT
ap-1414	124	1	≈	≈	PROPN
ap-1414	124	2	const	const	PROPN
ap-1414	124	3	.	.	PUNCT
ap-1414	124	4	is	be	AUX
ap-1414	124	5	understood	understand	VERB
ap-1414	124	6	as	as	ADP
ap-1414	124	7	the	the	DET
ap-1414	124	8	quantum	quantum	ADJ
ap-1414	124	9	uncertainty	uncertainty	NOUN
ap-1414	124	10	relation	relation	NOUN
ap-1414	124	11	δeδt	δeδt	ADJ
ap-1414	124	12	=	=	SYM
ap-1414	124	13	o(h̄	o(h̄	NOUN
ap-1414	124	14	)	)	PUNCT
ap-1414	124	15	.	.	PUNCT
ap-1414	125	1	•	•	NUM
ap-1414	125	2	the	the	DET
ap-1414	125	3	ccm	ccm	NOUN
ap-1414	125	4	tunnelling	tunnelling	NOUN
ap-1414	125	5	results	result	NOUN
ap-1414	125	6	in	in	ADP
ap-1414	125	7	[	[	X
ap-1414	125	8	3	3	NUM
ap-1414	125	9	]	]	PUNCT
ap-1414	125	10	are	be	AUX
ap-1414	125	11	understood	understand	VERB
ap-1414	125	12	as	as	ADP
ap-1414	125	13	anomalous	anomalous	ADJ
ap-1414	125	14	behaviour	behaviour	NOUN
ap-1414	125	15	in	in	ADP
ap-1414	125	16	the	the	DET
ap-1414	125	17	limit	limit	NOUN
ap-1414	125	18	0me	0me	NOUN
ap-1414	125	19	→	→	SYM
ap-1414	126	1	0	0	X
ap-1414	126	2	.	.	PUNCT
ap-1414	127	1	we	we	PRON
ap-1414	127	2	now	now	ADV
ap-1414	127	3	understand	understand	VERB
ap-1414	127	4	this	this	PRON
ap-1414	127	5	as	as	ADP
ap-1414	127	6	the	the	DET
ap-1414	127	7	familiar	familiar	ADJ
ap-1414	127	8	small	small	ADJ
ap-1414	127	9	h̄	h̄	NOUN
ap-1414	127	10	behaviour	behaviour	NOUN
ap-1414	127	11	when	when	SCONJ
ap-1414	127	12	looking	look	VERB
ap-1414	127	13	for	for	ADP
ap-1414	127	14	the	the	DET
ap-1414	127	15	persistence	persistence	NOUN
ap-1414	127	16	of	of	ADP
ap-1414	127	17	‘	'	PUNCT
ap-1414	127	18	quantum	quantum	NOUN
ap-1414	127	19	’	'	PUNCT
ap-1414	127	20	effects	effect	NOUN
ap-1414	127	21	.	.	PUNCT
ap-1414	128	1	looking	look	VERB
ap-1414	128	2	at	at	ADP
ap-1414	128	3	more	more	ADV
ap-1414	128	4	general	general	ADJ
ap-1414	128	5	potentials	potential	NOUN
ap-1414	128	6	,	,	PUNCT
ap-1414	128	7	even	even	ADV
ap-1414	128	8	in	in	ADP
ap-1414	128	9	[	[	NOUN
ap-1414	128	10	13	13	NUM
ap-1414	128	11	]	]	PUNCT
ap-1414	128	12	and	and	CCONJ
ap-1414	128	13	[	[	X
ap-1414	128	14	14	14	NUM
ap-1414	128	15	]	]	X
ap-1414	128	16	it	it	PRON
ap-1414	128	17	was	be	AUX
ap-1414	128	18	appreciated	appreciate	VERB
ap-1414	128	19	that	that	SCONJ
ap-1414	128	20	the	the	DET
ap-1414	128	21	extra	extra	ADJ
ap-1414	128	22	dimensions	dimension	NOUN
ap-1414	128	23	permitted	permit	VERB
ap-1414	128	24	tunnelling	tunnel	VERB
ap-1414	128	25	without	without	ADP
ap-1414	128	26	instantons	instanton	NOUN
ap-1414	128	27	.	.	PUNCT
ap-1414	129	1	however	however	ADV
ap-1414	129	2	,	,	PUNCT
ap-1414	129	3	this	this	PRON
ap-1414	129	4	should	should	AUX
ap-1414	129	5	not	not	PART
ap-1414	129	6	blind	blind	VERB
ap-1414	129	7	us	we	PRON
ap-1414	129	8	to	to	ADP
ap-1414	129	9	strong	strong	ADJ
ap-1414	129	10	differences	difference	NOUN
ap-1414	129	11	between	between	ADP
ap-1414	129	12	the	the	DET
ap-1414	129	13	two	two	NUM
ap-1414	129	14	formalisms	formalism	NOUN
ap-1414	129	15	,	,	PUNCT
ap-1414	129	16	for	for	ADP
ap-1414	129	17	which	which	PRON
ap-1414	129	18	the	the	DET
ap-1414	129	19	factors	factor	NOUN
ap-1414	129	20	of	of	ADP
ap-1414	129	21	i	i	PRON
ap-1414	129	22	are	be	AUX
ap-1414	129	23	crucial	crucial	ADJ
ap-1414	129	24	.	.	PUNCT
ap-1414	130	1	most	most	ADV
ap-1414	130	2	importantly	importantly	ADV
ap-1414	130	3	,	,	PUNCT
ap-1414	130	4	the	the	DET
ap-1414	130	5	constant	constant	ADJ
ap-1414	130	6	energy	energy	NOUN
ap-1414	130	7	surfaces	surface	NOUN
ap-1414	130	8	of	of	ADP
ap-1414	130	9	mfqm	mfqm	NOUN
ap-1414	130	10	are	be	AUX
ap-1414	130	11	bounded	bound	VERB
ap-1414	130	12	,	,	PUNCT
ap-1414	130	13	whereas	whereas	SCONJ
ap-1414	130	14	those	those	PRON
ap-1414	130	15	of	of	ADP
ap-1414	130	16	ccm	ccm	NOUN
ap-1414	130	17	are	be	AUX
ap-1414	130	18	unbounded	unbounded	ADJ
ap-1414	130	19	.	.	PUNCT
ap-1414	131	1	as	as	ADP
ap-1414	131	2	a	a	DET
ap-1414	131	3	result	result	NOUN
ap-1414	131	4	,	,	PUNCT
ap-1414	131	5	individual	individual	ADJ
ap-1414	131	6	particle	particle	NOUN
ap-1414	131	7	trajectories	trajectory	NOUN
ap-1414	131	8	in	in	ADP
ap-1414	131	9	ccm	ccm	PROPN
ap-1414	131	10	go	go	VERB
ap-1414	131	11	to	to	ADP
ap-1414	131	12	infinite	infinite	ADJ
ap-1414	131	13	distances	distance	NOUN
ap-1414	131	14	in	in	ADP
ap-1414	131	15	the	the	DET
ap-1414	131	16	x−y	x−y	ADJ
ap-1414	131	17	plane	plane	NOUN
ap-1414	131	18	(	(	PUNCT
ap-1414	131	19	and	and	CCONJ
ap-1414	131	20	back	back	ADV
ap-1414	131	21	)	)	PUNCT
ap-1414	131	22	in	in	ADP
ap-1414	131	23	finite	finite	ADJ
ap-1414	131	24	time	time	NOUN
ap-1414	131	25	,	,	PUNCT
ap-1414	131	26	whereas	whereas	SCONJ
ap-1414	131	27	those	those	PRON
ap-1414	131	28	of	of	ADP
ap-1414	131	29	mfqm	mfqm	NOUN
ap-1414	131	30	are	be	AUX
ap-1414	131	31	always	always	ADV
ap-1414	131	32	bounded	bound	VERB
ap-1414	131	33	.	.	PUNCT
ap-1414	132	1	to	to	PART
ap-1414	132	2	see	see	VERB
ap-1414	132	3	the	the	DET
ap-1414	132	4	effects	effect	NOUN
ap-1414	132	5	of	of	ADP
ap-1414	132	6	this	this	DET
ap-1414	132	7	boundedness	boundedness	NOUN
ap-1414	132	8	,	,	PUNCT
ap-1414	132	9	it	it	PRON
ap-1414	132	10	is	be	AUX
ap-1414	132	11	convenient	convenient	ADJ
ap-1414	132	12	(	(	PUNCT
ap-1414	132	13	with	with	ADP
ap-1414	132	14	the	the	DET
ap-1414	132	15	former	former	NOUN
ap-1414	132	16	)	)	PUNCT
ap-1414	132	17	to	to	PART
ap-1414	132	18	work	work	VERB
ap-1414	132	19	with	with	ADP
ap-1414	132	20	z±	z±	PROPN
ap-1414	132	21	=	=	SYM
ap-1414	132	22	ϕ	ϕ	PROPN
ap-1414	132	23	±	±	NUM
ap-1414	132	24	ξ	ξ	PROPN
ap-1414	132	25	,	,	PUNCT
ap-1414	132	26	since	since	SCONJ
ap-1414	132	27	hcl(z±	hcl(z±	PROPN
ap-1414	132	28	)	)	PUNCT
ap-1414	132	29	are	be	AUX
ap-1414	132	30	individually	individually	ADV
ap-1414	132	31	conserved	conserve	VERB
ap-1414	132	32	:	:	PUNCT
ap-1414	132	33	ża	ża	NOUN
ap-1414	132	34	±	±	NOUN
ap-1414	132	35	=	=	PUNCT
ap-1414	132	36	ωab	ωab	X
ap-1414	132	37	∂hcl(z±	∂hcl(z±	NOUN
ap-1414	132	38	)	)	PUNCT
ap-1414	132	39	∂zb	∂zb	PROPN
ap-1414	132	40	±	±	NUM
ap-1414	132	41	we	we	PRON
ap-1414	132	42	can	can	AUX
ap-1414	132	43	think	think	VERB
ap-1414	132	44	of	of	ADP
ap-1414	132	45	the	the	DET
ap-1414	132	46	classical	classical	ADJ
ap-1414	132	47	paths	path	NOUN
ap-1414	132	48	for	for	ADP
ap-1414	132	49	z±	z±	PROPN
ap-1414	132	50	as	as	ADP
ap-1414	132	51	the	the	DET
ap-1414	132	52	tips	tip	NOUN
ap-1414	132	53	of	of	ADP
ap-1414	132	54	chords	chord	NOUN
ap-1414	132	55	of	of	ADP
ap-1414	132	56	length	length	NOUN
ap-1414	132	57	o(h̄	o(h̄	NOUN
ap-1414	132	58	)	)	PUNCT
ap-1414	132	59	whose	whose	DET
ap-1414	132	60	midpoints	midpoint	NOUN
ap-1414	132	61	are	be	AUX
ap-1414	132	62	quantum	quantum	ADJ
ap-1414	132	63	paths	path	NOUN
ap-1414	132	64	,	,	PUNCT
ap-1414	132	65	only	only	ADV
ap-1414	132	66	constrained	constrain	VERB
ap-1414	132	67	by	by	ADP
ap-1414	132	68	boundary	boundary	ADJ
ap-1414	132	69	conditions	condition	NOUN
ap-1414	132	70	.	.	PUNCT
ap-1414	133	1	in	in	ADP
ap-1414	133	2	the	the	DET
ap-1414	133	3	lagrangian	lagrangian	ADJ
ap-1414	133	4	formalism	formalism	NOUN
ap-1414	133	5	(	(	PUNCT
ap-1414	133	6	on	on	ADP
ap-1414	133	7	integrating	integrate	VERB
ap-1414	133	8	out	out	ADP
ap-1414	133	9	p	p	X
ap-1414	133	10	,	,	PUNCT
ap-1414	133	11	q	q	X
ap-1414	133	12	)	)	PUNCT
ap-1414	133	13	this	this	PRON
ap-1414	133	14	is	be	AUX
ap-1414	133	15	the	the	DET
ap-1414	133	16	familiar	familiar	ADJ
ap-1414	133	17	closed	closed	ADJ
ap-1414	133	18	time	time	NOUN
ap-1414	133	19	-	-	PUNCT
ap-1414	133	20	path	path	NOUN
ap-1414	133	21	approach	approach	NOUN
ap-1414	133	22	.	.	PUNCT
ap-1414	134	1	86	86	NUM
ap-1414	134	2	acta	acta	PROPN
ap-1414	134	3	polytechnica	polytechnica	PROPN
ap-1414	134	4	vol	vol	NOUN
ap-1414	134	5	.	.	PUNCT
ap-1414	135	1	51	51	NUM
ap-1414	135	2	no	no	INTJ
ap-1414	135	3	.	.	PUNCT
ap-1414	136	1	4/2011	4/2011	NUM
ap-1414	136	2	for	for	ADP
ap-1414	136	3	example	example	NOUN
ap-1414	136	4	,	,	PUNCT
ap-1414	136	5	now	now	ADV
ap-1414	136	6	consider	consider	VERB
ap-1414	136	7	‘	'	PUNCT
ap-1414	136	8	tunnelling	tunnel	VERB
ap-1414	136	9	’	'	PUNCT
ap-1414	136	10	in	in	ADP
ap-1414	136	11	a	a	DET
ap-1414	136	12	double	double	ADJ
ap-1414	136	13	-	-	PUNCT
ap-1414	136	14	well	well	NOUN
ap-1414	136	15	potential	potential	NOUN
ap-1414	136	16	with	with	ADP
ap-1414	136	17	binding	bind	VERB
ap-1414	136	18	energy	energy	NOUN
ap-1414	136	19	e0	e0	NOUN
ap-1414	136	20	.	.	PUNCT
ap-1414	137	1	in	in	ADP
ap-1414	137	2	ccm	ccm	NOUN
ap-1414	137	3	we	we	PRON
ap-1414	137	4	take	take	VERB
ap-1414	137	5	hr	hr	NOUN
ap-1414	137	6	=	=	SYM
ap-1414	137	7	en	en	X
ap-1414	137	8	<	<	X
ap-1414	137	9	e0	e0	PROPN
ap-1414	137	10	to	to	PART
ap-1414	137	11	match	match	VERB
ap-1414	137	12	the	the	DET
ap-1414	137	13	energy	energy	NOUN
ap-1414	137	14	of	of	ADP
ap-1414	137	15	a	a	DET
ap-1414	137	16	bound	bind	VERB
ap-1414	137	17	state	state	NOUN
ap-1414	137	18	of	of	ADP
ap-1414	137	19	the	the	DET
ap-1414	137	20	potential	potential	NOUN
ap-1414	137	21	and	and	CCONJ
ap-1414	137	22	fix	fix	VERB
ap-1414	137	23	hi	hi	INTJ
ap-1414	137	24	=	=	NOUN
ap-1414	137	25	0me	0me	NOUN
ap-1414	137	26	=	=	PUNCT
ap-1414	137	27	δe	δe	PRON
ap-1414	137	28	�	�	PROPN
ap-1414	137	29	=	=	SYM
ap-1414	137	30	0	0	PROPN
ap-1414	137	31	.	.	PUNCT
ap-1414	138	1	if	if	SCONJ
ap-1414	138	2	,	,	PUNCT
ap-1414	138	3	for	for	ADP
ap-1414	138	4	example	example	NOUN
ap-1414	138	5	,	,	PUNCT
ap-1414	138	6	we	we	PRON
ap-1414	138	7	then	then	ADV
ap-1414	138	8	consider	consider	VERB
ap-1414	138	9	paths	path	NOUN
ap-1414	138	10	with	with	ADP
ap-1414	138	11	starting	start	VERB
ap-1414	138	12	points	point	NOUN
ap-1414	138	13	y	y	PROPN
ap-1414	138	14	=	=	SYM
ap-1414	138	15	0	0	PROPN
ap-1414	138	16	,	,	PUNCT
ap-1414	138	17	x	x	X
ap-1414	139	1	=	=	SYM
ap-1414	139	2	x0	x0	PROPN
ap-1414	139	3	the	the	DET
ap-1414	139	4	particle	particle	NOUN
ap-1414	139	5	flips	flip	VERB
ap-1414	139	6	from	from	ADP
ap-1414	139	7	well	well	ADV
ap-1414	139	8	to	to	PART
ap-1414	139	9	well	well	ADV
ap-1414	139	10	in	in	ADP
ap-1414	139	11	a	a	DET
ap-1414	139	12	‘	'	PUNCT
ap-1414	139	13	symmetric	symmetric	ADJ
ap-1414	139	14	’	'	PUNCT
ap-1414	139	15	way	way	NOUN
ap-1414	139	16	using	use	VERB
ap-1414	139	17	the	the	DET
ap-1414	139	18	additional	additional	ADJ
ap-1414	139	19	dimensions	dimension	NOUN
ap-1414	139	20	[	[	X
ap-1414	139	21	3	3	NUM
ap-1414	139	22	]	]	PUNCT
ap-1414	139	23	.	.	PUNCT
ap-1414	140	1	if	if	SCONJ
ap-1414	140	2	we	we	PRON
ap-1414	140	3	now	now	ADV
ap-1414	140	4	measure	measure	VERB
ap-1414	140	5	the	the	DET
ap-1414	140	6	ratio	ratio	NOUN
ap-1414	140	7	of	of	ADP
ap-1414	140	8	the	the	DET
ap-1414	140	9	time	time	NOUN
ap-1414	140	10	the	the	DET
ap-1414	140	11	particle	particle	NOUN
ap-1414	140	12	spends	spend	VERB
ap-1414	140	13	in	in	ADP
ap-1414	140	14	each	each	DET
ap-1414	140	15	well	well	ADV
ap-1414	140	16	as	as	ADP
ap-1414	140	17	δe	δe	NOUN
ap-1414	140	18	→	→	SYM
ap-1414	140	19	0	0	NUM
ap-1414	140	20	we	we	PRON
ap-1414	140	21	can	can	AUX
ap-1414	140	22	compare	compare	VERB
ap-1414	140	23	this	this	PRON
ap-1414	140	24	with	with	ADP
ap-1414	140	25	the	the	DET
ap-1414	140	26	qm	qm	PROPN
ap-1414	140	27	results	result	NOUN
ap-1414	140	28	obtained	obtain	VERB
ap-1414	140	29	from	from	ADP
ap-1414	140	30	the	the	DET
ap-1414	140	31	wavefunctions	wavefunction	NOUN
ap-1414	140	32	as	as	ADP
ap-1414	140	33	hi	hi	ADJ
ap-1414	140	34	=	=	SYM
ap-1414	140	35	0me	0me	NOUN
ap-1414	140	36	→	→	SYM
ap-1414	140	37	0	0	X
ap-1414	140	38	.	.	X
ap-1414	141	1	see	see	VERB
ap-1414	141	2	[	[	X
ap-1414	141	3	3	3	X
ap-1414	141	4	]	]	PUNCT
ap-1414	141	5	for	for	ADP
ap-1414	141	6	details	detail	NOUN
ap-1414	141	7	.	.	PUNCT
ap-1414	142	1	while	while	SCONJ
ap-1414	142	2	not	not	PART
ap-1414	142	3	being	be	AUX
ap-1414	142	4	compelling	compelling	ADJ
ap-1414	142	5	,	,	PUNCT
ap-1414	142	6	the	the	DET
ap-1414	142	7	results	result	NOUN
ap-1414	142	8	are	be	AUX
ap-1414	142	9	certainly	certainly	ADV
ap-1414	142	10	interesting	interesting	ADJ
ap-1414	142	11	.	.	PUNCT
ap-1414	143	1	however	however	ADV
ap-1414	143	2	,	,	PUNCT
ap-1414	143	3	the	the	DET
ap-1414	143	4	situation	situation	NOUN
ap-1414	143	5	is	be	AUX
ap-1414	143	6	very	very	ADV
ap-1414	143	7	different	different	ADJ
ap-1414	143	8	in	in	ADP
ap-1414	143	9	mfqm	mfqm	NOUN
ap-1414	143	10	because	because	SCONJ
ap-1414	143	11	of	of	ADP
ap-1414	143	12	the	the	DET
ap-1414	143	13	boundedness	boundedness	NOUN
ap-1414	143	14	of	of	ADP
ap-1414	143	15	the	the	DET
ap-1414	143	16	constant	constant	ADJ
ap-1414	143	17	energy	energy	NOUN
ap-1414	143	18	surfaces	surface	NOUN
ap-1414	143	19	.	.	PUNCT
ap-1414	144	1	we	we	PRON
ap-1414	144	2	now	now	ADV
ap-1414	144	3	have	have	VERB
ap-1414	144	4	h+	h+	PUNCT
ap-1414	144	5	=	=	SYM
ap-1414	144	6	1	1	NUM
ap-1414	144	7	2	2	NUM
ap-1414	144	8	[	[	X
ap-1414	144	9	hcl(z+	hcl(z+	NOUN
ap-1414	144	10	)	)	PUNCT
ap-1414	144	11	+	+	NUM
ap-1414	145	1	hcl(z−	hcl(z−	X
ap-1414	145	2	)	)	PUNCT
ap-1414	145	3	]	]	PUNCT
ap-1414	145	4	.	.	PUNCT
ap-1414	146	1	as	as	SCONJ
ap-1414	146	2	shown	show	VERB
ap-1414	146	3	in	in	ADP
ap-1414	146	4	[	[	X
ap-1414	146	5	17	17	NUM
ap-1414	146	6	]	]	PUNCT
ap-1414	146	7	,	,	PUNCT
ap-1414	146	8	to	to	PART
ap-1414	146	9	proceed	proceed	VERB
ap-1414	146	10	we	we	PRON
ap-1414	146	11	choose	choose	VERB
ap-1414	146	12	h+	h+	PUNCT
ap-1414	146	13	=	=	SYM
ap-1414	146	14	e	e	X
ap-1414	146	15	<	<	X
ap-1414	146	16	e0	e0	PROPN
ap-1414	146	17	with	with	ADP
ap-1414	146	18	hcl(z+	hcl(z+	NOUN
ap-1414	146	19	)	)	PUNCT
ap-1414	146	20	>	>	PUNCT
ap-1414	146	21	e0	e0	PROPN
ap-1414	146	22	and	and	CCONJ
ap-1414	146	23	hcl(z−	hcl(z−	NOUN
ap-1414	146	24	)	)	PUNCT
ap-1414	146	25	<	<	X
ap-1414	146	26	e0	e0	PROPN
ap-1414	146	27	(	(	PUNCT
ap-1414	146	28	or	or	CCONJ
ap-1414	146	29	v.v	v.v	PROPN
ap-1414	146	30	)	)	PUNCT
ap-1414	146	31	and	and	CCONJ
ap-1414	146	32	fix	fix	VERB
ap-1414	146	33	h−	h−	NOUN
ap-1414	146	34	=	=	PUNCT
ap-1414	146	35	δe	δe	PRON
ap-1414	146	36	�	�	PROPN
ap-1414	146	37	=	=	SYM
ap-1414	146	38	0	0	PROPN
ap-1414	146	39	.	.	PUNCT
ap-1414	147	1	that	that	PRON
ap-1414	147	2	is	is	ADV
ap-1414	147	3	,	,	PUNCT
ap-1414	147	4	one	one	NUM
ap-1414	147	5	end	end	NOUN
ap-1414	147	6	of	of	ADP
ap-1414	147	7	the	the	DET
ap-1414	147	8	chord	chord	NOUN
ap-1414	147	9	is	be	AUX
ap-1414	147	10	trapped	trap	VERB
ap-1414	147	11	in	in	ADP
ap-1414	147	12	a	a	DET
ap-1414	147	13	well	well	NOUN
ap-1414	147	14	,	,	PUNCT
ap-1414	147	15	while	while	SCONJ
ap-1414	147	16	the	the	DET
ap-1414	147	17	other	other	ADJ
ap-1414	147	18	end	end	NOUN
ap-1414	147	19	is	be	AUX
ap-1414	147	20	free	free	ADJ
ap-1414	147	21	.	.	PUNCT
ap-1414	148	1	the	the	DET
ap-1414	148	2	initial	initial	ADJ
ap-1414	148	3	conditions	condition	NOUN
ap-1414	148	4	mean	mean	VERB
ap-1414	148	5	that	that	SCONJ
ap-1414	148	6	the	the	DET
ap-1414	148	7	particle	particle	NOUN
ap-1414	148	8	flips	flip	VERB
ap-1414	148	9	from	from	ADP
ap-1414	148	10	well	well	ADV
ap-1414	148	11	to	to	PART
ap-1414	148	12	well	well	ADV
ap-1414	148	13	‘	'	PUNCT
ap-1414	148	14	asymmetrically	asymmetrically	ADV
ap-1414	148	15	’	'	PUNCT
ap-1414	148	16	using	use	VERB
ap-1414	148	17	additional	additional	ADJ
ap-1414	148	18	dimensions	dimension	NOUN
ap-1414	148	19	.	.	PUNCT
ap-1414	149	1	for	for	ADP
ap-1414	149	2	this	this	DET
ap-1414	149	3	reason	reason	NOUN
ap-1414	149	4	it	it	PRON
ap-1414	149	5	is	be	AUX
ap-1414	149	6	not	not	PART
ap-1414	149	7	sensible	sensible	ADJ
ap-1414	149	8	to	to	PART
ap-1414	149	9	attempt	attempt	VERB
ap-1414	149	10	to	to	PART
ap-1414	149	11	measure	measure	VERB
ap-1414	149	12	the	the	DET
ap-1414	149	13	relative	relative	ADJ
ap-1414	149	14	time	time	NOUN
ap-1414	149	15	the	the	DET
ap-1414	149	16	particle	particle	NOUN
ap-1414	149	17	spends	spend	VERB
ap-1414	149	18	in	in	ADP
ap-1414	149	19	each	each	DET
ap-1414	149	20	well	well	ADV
ap-1414	149	21	as	as	ADP
ap-1414	149	22	δe	δe	NOUN
ap-1414	149	23	→	→	SYM
ap-1414	149	24	0	0	NUM
ap-1414	149	25	.	.	PUNCT
ap-1414	150	1	these	these	DET
ap-1414	150	2	trajectories	trajectory	NOUN
ap-1414	150	3	make	make	VERB
ap-1414	150	4	fundamentally	fundamentally	ADV
ap-1414	150	5	clear	clear	ADJ
ap-1414	150	6	a	a	DET
ap-1414	150	7	profound	profound	ADJ
ap-1414	150	8	difference	difference	NOUN
ap-1414	150	9	between	between	ADP
ap-1414	150	10	ccm	ccm	NOUN
ap-1414	150	11	and	and	CCONJ
ap-1414	150	12	mfqm	mfqm	NOUN
ap-1414	150	13	that	that	PRON
ap-1414	150	14	lies	lie	VERB
ap-1414	150	15	at	at	ADP
ap-1414	150	16	the	the	DET
ap-1414	150	17	heart	heart	NOUN
ap-1414	150	18	of	of	ADP
ap-1414	150	19	quantum	quantum	ADJ
ap-1414	150	20	mechanics	mechanic	NOUN
ap-1414	150	21	.	.	PUNCT
ap-1414	151	1	for	for	ADP
ap-1414	151	2	all	all	DET
ap-1414	151	3	the	the	DET
ap-1414	151	4	qualitative	qualitative	ADJ
ap-1414	151	5	similarities	similarity	NOUN
ap-1414	151	6	between	between	ADP
ap-1414	151	7	ccm	ccm	NOUN
ap-1414	151	8	and	and	CCONJ
ap-1414	151	9	quantum	quantum	NOUN
ap-1414	151	10	mechanics	mechanic	NOUN
ap-1414	151	11	,	,	PUNCT
ap-1414	151	12	the	the	DET
ap-1414	151	13	defining	define	VERB
ap-1414	151	14	ingredient	ingredient	NOUN
ap-1414	151	15	of	of	ADP
ap-1414	151	16	the	the	DET
ap-1414	151	17	latter	latter	ADJ
ap-1414	151	18	is	be	AUX
ap-1414	151	19	interference	interference	NOUN
ap-1414	151	20	.	.	PUNCT
ap-1414	152	1	this	this	PRON
ap-1414	152	2	is	be	AUX
ap-1414	152	3	immediately	immediately	ADV
ap-1414	152	4	clear	clear	ADJ
ap-1414	152	5	from	from	ADP
ap-1414	152	6	the	the	DET
ap-1414	152	7	evolution	evolution	NOUN
ap-1414	152	8	equation	equation	NOUN
ap-1414	152	9	(	(	PUNCT
ap-1414	152	10	3.11	3.11	NUM
ap-1414	152	11	)	)	PUNCT
ap-1414	152	12	for	for	ADP
ap-1414	152	13	real	real	ADJ
ap-1414	152	14	density	density	NOUN
ap-1414	152	15	matrices	matrix	NOUN
ap-1414	152	16	,	,	PUNCT
ap-1414	152	17	which	which	PRON
ap-1414	152	18	demands	demand	VERB
ap-1414	152	19	that	that	SCONJ
ap-1414	152	20	kqu	kqu	NOUN
ap-1414	152	21	be	be	AUX
ap-1414	152	22	real	real	ADJ
ap-1414	152	23	.	.	PUNCT
ap-1414	153	1	at	at	ADP
ap-1414	153	2	the	the	DET
ap-1414	153	3	very	very	ADV
ap-1414	153	4	least	least	ADJ
ap-1414	153	5	,	,	PUNCT
ap-1414	153	6	if	if	SCONJ
ap-1414	153	7	(	(	PUNCT
ap-1414	153	8	ϕcl	ϕcl	ADV
ap-1414	153	9	,	,	PUNCT
ap-1414	153	10	ξcl	ξcl	NOUN
ap-1414	153	11	)	)	PUNCT
ap-1414	153	12	are	be	AUX
ap-1414	153	13	solutions	solution	NOUN
ap-1414	153	14	to	to	ADP
ap-1414	153	15	(	(	PUNCT
ap-1414	153	16	4.33	4.33	NUM
ap-1414	153	17	)	)	PUNCT
ap-1414	153	18	then	then	ADV
ap-1414	153	19	so	so	ADV
ap-1414	153	20	are	be	AUX
ap-1414	153	21	(	(	PUNCT
ap-1414	153	22	ϕcl,−ξcl	ϕcl,−ξcl	ADJ
ap-1414	153	23	)	)	PUNCT
ap-1414	153	24	and	and	CCONJ
ap-1414	153	25	both	both	DET
ap-1414	153	26	solutions	solution	NOUN
ap-1414	153	27	have	have	VERB
ap-1414	153	28	to	to	PART
ap-1414	153	29	be	be	AUX
ap-1414	153	30	combined	combine	VERB
ap-1414	153	31	(	(	PUNCT
ap-1414	153	32	z+	z+	NUM
ap-1414	153	33	↔	↔	PROPN
ap-1414	153	34	z−	z−	NUM
ap-1414	153	35	)	)	PUNCT
ap-1414	153	36	in	in	ADP
ap-1414	153	37	(	(	PUNCT
ap-1414	153	38	3.11	3.11	NUM
ap-1414	153	39	)	)	PUNCT
ap-1414	153	40	,	,	PUNCT
ap-1414	153	41	with	with	ADP
ap-1414	153	42	the	the	DET
ap-1414	153	43	appropriate	appropriate	ADJ
ap-1414	153	44	determinant	determinant	NOUN
ap-1414	153	45	of	of	ADP
ap-1414	153	46	small	small	ADJ
ap-1414	153	47	fluctuations	fluctuation	NOUN
ap-1414	153	48	around	around	ADP
ap-1414	153	49	the	the	DET
ap-1414	153	50	classical	classical	ADJ
ap-1414	153	51	solutions	solution	NOUN
ap-1414	153	52	.	.	PUNCT
ap-1414	154	1	this	this	PRON
ap-1414	154	2	is	be	AUX
ap-1414	154	3	in	in	ADP
ap-1414	154	4	contrast	contrast	NOUN
ap-1414	154	5	to	to	ADP
ap-1414	154	6	the	the	DET
ap-1414	154	7	hamiltonian	hamiltonian	ADJ
ap-1414	154	8	formulation	formulation	NOUN
ap-1414	154	9	of	of	ADP
ap-1414	154	10	classical	classical	ADJ
ap-1414	154	11	mechanics	mechanic	NOUN
ap-1414	154	12	of	of	ADP
ap-1414	154	13	section	section	NOUN
ap-1414	154	14	2	2	NUM
ap-1414	154	15	for	for	ADP
ap-1414	154	16	which	which	PRON
ap-1414	154	17	there	there	PRON
ap-1414	154	18	are	be	VERB
ap-1414	154	19	potentially	potentially	ADV
ap-1414	154	20	more	more	ADJ
ap-1414	154	21	observables	observable	NOUN
ap-1414	154	22	,	,	PUNCT
ap-1414	154	23	i.e.	i.e.	X
ap-1414	154	24	hermitian	hermitian	ADJ
ap-1414	154	25	functions	function	NOUN
ap-1414	154	26	of	of	ADP
ap-1414	154	27	ϕ	ϕ	PROPN
ap-1414	154	28	and	and	CCONJ
ap-1414	154	29	π	π	PROPN
ap-1414	154	30	,	,	PUNCT
ap-1414	154	31	than	than	ADP
ap-1414	154	32	in	in	ADP
ap-1414	154	33	the	the	DET
ap-1414	154	34	standard	standard	ADJ
ap-1414	154	35	approach	approach	NOUN
ap-1414	154	36	to	to	ADP
ap-1414	154	37	(	(	PUNCT
ap-1414	154	38	real	real	ADJ
ap-1414	154	39	)	)	PUNCT
ap-1414	154	40	classical	classical	ADJ
ap-1414	154	41	mechanics	mechanic	NOUN
ap-1414	154	42	.	.	PUNCT
ap-1414	155	1	because	because	SCONJ
ap-1414	155	2	of	of	ADP
ap-1414	155	3	the	the	DET
ap-1414	155	4	non	non	NOUN
ap-1414	155	5	-	-	NOUN
ap-1414	155	6	commutativity	commutativity	NOUN
ap-1414	155	7	of	of	ADP
ap-1414	155	8	ϕ	ϕ	PROPN
ap-1414	155	9	and	and	CCONJ
ap-1414	155	10	π	π	PROPN
ap-1414	155	11	,	,	PUNCT
ap-1414	155	12	as	as	SCONJ
ap-1414	155	13	shown	show	VERB
ap-1414	155	14	in	in	ADP
ap-1414	155	15	(	(	PUNCT
ap-1414	155	16	2.5	2.5	NUM
ap-1414	155	17	)	)	PUNCT
ap-1414	155	18	,	,	PUNCT
ap-1414	155	19	interference	interference	NOUN
ap-1414	155	20	looks	look	VERB
ap-1414	155	21	to	to	PART
ap-1414	155	22	be	be	AUX
ap-1414	155	23	possible	possible	ADJ
ap-1414	155	24	,	,	PUNCT
ap-1414	155	25	although	although	SCONJ
ap-1414	155	26	we	we	PRON
ap-1414	155	27	know	know	VERB
ap-1414	155	28	this	this	PRON
ap-1414	155	29	is	be	AUX
ap-1414	155	30	not	not	PART
ap-1414	155	31	the	the	DET
ap-1414	155	32	case	case	NOUN
ap-1414	155	33	.	.	PUNCT
ap-1414	156	1	in	in	ADP
ap-1414	156	2	fact	fact	NOUN
ap-1414	156	3	,	,	PUNCT
ap-1414	156	4	not	not	PART
ap-1414	156	5	all	all	DET
ap-1414	156	6	these	these	DET
ap-1414	156	7	extra	extra	ADJ
ap-1414	156	8	observables	observable	NOUN
ap-1414	156	9	are	be	AUX
ap-1414	156	10	invariant	invariant	ADJ
ap-1414	156	11	under	under	ADP
ap-1414	156	12	a	a	DET
ap-1414	156	13	set	set	NOUN
ap-1414	156	14	of	of	ADP
ap-1414	156	15	universal	universal	ADJ
ap-1414	156	16	local	local	ADJ
ap-1414	156	17	symmetries	symmetry	NOUN
ap-1414	156	18	which	which	PRON
ap-1414	156	19	appear	appear	VERB
ap-1414	156	20	once	once	SCONJ
ap-1414	156	21	the	the	DET
ap-1414	156	22	formalism	formalism	NOUN
ap-1414	156	23	is	be	AUX
ap-1414	156	24	extended	extend	VERB
ap-1414	156	25	to	to	PART
ap-1414	156	26	differential	differential	VERB
ap-1414	156	27	forms	form	NOUN
ap-1414	156	28	on	on	ADP
ap-1414	156	29	phase	phase	NOUN
ap-1414	156	30	space	space	NOUN
ap-1414	156	31	[	[	X
ap-1414	156	32	21	21	NUM
ap-1414	156	33	]	]	PUNCT
ap-1414	156	34	and	and	CCONJ
ap-1414	156	35	,	,	PUNCT
ap-1414	156	36	because	because	SCONJ
ap-1414	156	37	of	of	ADP
ap-1414	156	38	this	this	PRON
ap-1414	156	39	,	,	PUNCT
ap-1414	156	40	have	have	VERB
ap-1414	156	41	to	to	PART
ap-1414	156	42	be	be	AUX
ap-1414	156	43	removed	remove	VERB
ap-1414	156	44	.	.	PUNCT
ap-1414	157	1	as	as	SCONJ
ap-1414	157	2	gozzi	gozzi	NOUN
ap-1414	157	3	has	have	AUX
ap-1414	157	4	shown	show	VERB
ap-1414	157	5	,	,	PUNCT
ap-1414	157	6	this	this	PRON
ap-1414	157	7	makes	make	VERB
ap-1414	157	8	the	the	DET
ap-1414	157	9	superposition	superposition	NOUN
ap-1414	157	10	of	of	ADP
ap-1414	157	11	states	state	NOUN
ap-1414	157	12	in	in	ADP
ap-1414	157	13	(	(	PUNCT
ap-1414	157	14	real	real	ADJ
ap-1414	157	15	)	)	PUNCT
ap-1414	157	16	cm	cm	NOUN
ap-1414	157	17	impossible	impossible	ADJ
ap-1414	158	1	[	[	X
ap-1414	158	2	22	22	NUM
ap-1414	158	3	]	]	PUNCT
ap-1414	158	4	.	.	PUNCT
ap-1414	159	1	whether	whether	SCONJ
ap-1414	159	2	this	this	PRON
ap-1414	159	3	is	be	AUX
ap-1414	159	4	equally	equally	ADV
ap-1414	159	5	true	true	ADJ
ap-1414	159	6	for	for	ADP
ap-1414	159	7	complex	complex	ADJ
ap-1414	159	8	classical	classical	ADJ
ap-1414	159	9	mechanics	mechanic	NOUN
ap-1414	159	10	is	be	AUX
ap-1414	159	11	unclear	unclear	ADJ
ap-1414	159	12	,	,	PUNCT
ap-1414	159	13	but	but	CCONJ
ap-1414	159	14	we	we	PRON
ap-1414	159	15	would	would	AUX
ap-1414	159	16	be	be	AUX
ap-1414	159	17	surprised	surprised	ADJ
ap-1414	159	18	if	if	SCONJ
ap-1414	159	19	it	it	PRON
ap-1414	159	20	were	be	AUX
ap-1414	159	21	not	not	PART
ap-1414	159	22	.	.	PUNCT
ap-1414	160	1	unfortunately	unfortunately	ADV
ap-1414	160	2	,	,	PUNCT
ap-1414	160	3	this	this	PRON
ap-1414	160	4	makes	make	VERB
ap-1414	160	5	a	a	DET
ap-1414	160	6	direct	direct	ADJ
ap-1414	160	7	comparison	comparison	NOUN
ap-1414	160	8	between	between	ADP
ap-1414	160	9	the	the	DET
ap-1414	160	10	approaches	approach	NOUN
ap-1414	160	11	impossible	impossible	ADJ
ap-1414	160	12	.	.	PUNCT
ap-1414	161	1	thus	thus	ADV
ap-1414	161	2	,	,	PUNCT
ap-1414	161	3	even	even	ADV
ap-1414	161	4	in	in	ADP
ap-1414	161	5	a	a	DET
ap-1414	161	6	pragmatic	pragmatic	ADJ
ap-1414	161	7	sense	sense	NOUN
ap-1414	161	8	,	,	PUNCT
ap-1414	161	9	we	we	PRON
ap-1414	161	10	ca	can	AUX
ap-1414	161	11	n’t	not	PART
ap-1414	161	12	use	use	VERB
ap-1414	161	13	the	the	DET
ap-1414	161	14	virtues	virtue	NOUN
ap-1414	161	15	of	of	ADP
ap-1414	161	16	the	the	DET
ap-1414	161	17	one	one	NOUN
ap-1414	161	18	to	to	PART
ap-1414	161	19	have	have	VERB
ap-1414	161	20	implications	implication	NOUN
ap-1414	161	21	for	for	ADP
ap-1414	161	22	the	the	DET
ap-1414	161	23	other	other	ADJ
ap-1414	161	24	.	.	PUNCT
ap-1414	162	1	in	in	ADP
ap-1414	162	2	fact	fact	NOUN
ap-1414	162	3	,	,	PUNCT
ap-1414	162	4	we	we	PRON
ap-1414	162	5	need	need	VERB
ap-1414	162	6	more	more	ADJ
ap-1414	162	7	than	than	ADP
ap-1414	162	8	interference	interference	NOUN
ap-1414	162	9	between	between	ADP
ap-1414	162	10	quasi	quasi	ADJ
ap-1414	162	11	-	-	ADJ
ap-1414	162	12	classical	classical	ADJ
ap-1414	162	13	paths	path	NOUN
ap-1414	162	14	in	in	ADP
ap-1414	162	15	mfqm	mfqm	NOUN
ap-1414	162	16	,	,	PUNCT
ap-1414	162	17	as	as	SCONJ
ap-1414	162	18	can	can	AUX
ap-1414	162	19	be	be	AUX
ap-1414	162	20	seen	see	VERB
ap-1414	162	21	from	from	ADP
ap-1414	162	22	the	the	DET
ap-1414	162	23	simple	simple	ADJ
ap-1414	162	24	v	v	NOUN
ap-1414	162	25	(	(	PUNCT
ap-1414	162	26	x	x	NOUN
ap-1414	162	27	)	)	PUNCT
ap-1414	162	28	=	=	SYM
ap-1414	162	29	−1	−1	NOUN
ap-1414	162	30	2	2	NUM
ap-1414	162	31	x2	x2	PROPN
ap-1414	162	32	potential	potential	NOUN
ap-1414	162	33	.	.	PUNCT
ap-1414	163	1	quasi	quasi	ADJ
ap-1414	163	2	-	-	ADJ
ap-1414	163	3	classical	classical	ADJ
ap-1414	163	4	solutions	solution	NOUN
ap-1414	163	5	in	in	ADP
ap-1414	163	6	mfqm	mfqm	NOUN
ap-1414	163	7	show	show	VERB
ap-1414	163	8	that	that	SCONJ
ap-1414	163	9	the	the	DET
ap-1414	163	10	particle	particle	NOUN
ap-1414	163	11	rebounds	rebound	VERB
ap-1414	163	12	for	for	ADP
ap-1414	163	13	e	e	X
ap-1414	163	14	<	<	X
ap-1414	163	15	0	0	NUM
ap-1414	163	16	,	,	PUNCT
ap-1414	163	17	i.e.	i.e.	X
ap-1414	163	18	there	there	PRON
ap-1414	163	19	is	be	VERB
ap-1414	163	20	no	no	DET
ap-1414	163	21	‘	'	PUNCT
ap-1414	163	22	tunnelling	tunnelling	NOUN
ap-1414	163	23	’	'	PUNCT
ap-1414	163	24	despite	despite	SCONJ
ap-1414	163	25	the	the	DET
ap-1414	163	26	extra	extra	ADJ
ap-1414	163	27	dimension	dimension	NOUN
ap-1414	163	28	.	.	PUNCT
ap-1414	164	1	nonetheless	nonetheless	ADV
ap-1414	164	2	,	,	PUNCT
ap-1414	164	3	tunnelling	tunnelling	NOUN
ap-1414	164	4	happens	happen	VERB
ap-1414	164	5	in	in	ADP
ap-1414	164	6	mfqm	mfqm	NOUN
ap-1414	164	7	because	because	SCONJ
ap-1414	164	8	of	of	ADP
ap-1414	164	9	state	state	NOUN
ap-1414	164	10	preparation	preparation	NOUN
ap-1414	164	11	[	[	X
ap-1414	164	12	23	23	NUM
ap-1414	164	13	]	]	PUNCT
ap-1414	164	14	,	,	PUNCT
ap-1414	164	15	whereby	whereby	SCONJ
ap-1414	164	16	the	the	DET
ap-1414	164	17	tail	tail	NOUN
ap-1414	164	18	of	of	ADP
ap-1414	164	19	the	the	DET
ap-1414	164	20	wavefunction	wavefunction	NOUN
ap-1414	164	21	crosses	cross	VERB
ap-1414	164	22	the	the	DET
ap-1414	164	23	x−	x−	PROPN
ap-1414	164	24	p	p	PROPN
ap-1414	164	25	separatrix	separatrix	NOUN
ap-1414	164	26	and	and	CCONJ
ap-1414	164	27	is	be	AUX
ap-1414	164	28	stretched	stretch	VERB
ap-1414	164	29	to	to	ADP
ap-1414	164	30	the	the	DET
ap-1414	164	31	other	other	ADJ
ap-1414	164	32	side	side	NOUN
ap-1414	164	33	of	of	ADP
ap-1414	164	34	the	the	DET
ap-1414	164	35	potential	potential	ADJ
ap-1414	164	36	hill	hill	NOUN
ap-1414	164	37	.	.	PUNCT
ap-1414	165	1	we	we	PRON
ap-1414	165	2	conclude	conclude	VERB
ap-1414	165	3	with	with	ADP
ap-1414	165	4	a	a	DET
ap-1414	165	5	comment	comment	NOUN
ap-1414	165	6	on	on	ADP
ap-1414	165	7	the	the	DET
ap-1414	165	8	first	first	ADJ
ap-1414	165	9	order	order	NOUN
ap-1414	165	10	constraints	constraint	VERB
ap-1414	165	11	h−	h−	NOUN
ap-1414	165	12	=	=	SYM
ap-1414	165	13	0	0	NUM
ap-1414	165	14	and	and	CCONJ
ap-1414	165	15	hi	hi	INTJ
ap-1414	166	1	=	=	NOUN
ap-1414	166	2	0	0	NUM
ap-1414	167	1	that	that	SCONJ
ap-1414	167	2	the	the	DET
ap-1414	167	3	formalisms	formalism	NOUN
ap-1414	167	4	possess	possess	VERB
ap-1414	167	5	.	.	PUNCT
ap-1414	168	1	to	to	PART
ap-1414	168	2	accommodate	accommodate	VERB
ap-1414	168	3	them	they	PRON
ap-1414	168	4	fully	fully	ADV
ap-1414	168	5	requires	require	VERB
ap-1414	168	6	gauge	gauge	NOUN
ap-1414	168	7	fixing	fixing	NOUN
ap-1414	168	8	in	in	ADP
ap-1414	168	9	the	the	DET
ap-1414	168	10	path	path	NOUN
ap-1414	168	11	integrals	integral	NOUN
ap-1414	168	12	(	(	PUNCT
ap-1414	168	13	or	or	CCONJ
ap-1414	168	14	a	a	DET
ap-1414	168	15	change	change	NOUN
ap-1414	168	16	of	of	ADP
ap-1414	168	17	bracket	bracket	NOUN
ap-1414	168	18	)	)	PUNCT
ap-1414	168	19	.	.	PUNCT
ap-1414	169	1	at	at	ADP
ap-1414	169	2	our	our	PRON
ap-1414	169	3	simple	simple	ADJ
ap-1414	169	4	level	level	NOUN
ap-1414	169	5	of	of	ADP
ap-1414	169	6	comparison	comparison	NOUN
ap-1414	169	7	this	this	PRON
ap-1414	169	8	is	be	AUX
ap-1414	169	9	unnecessary	unnecessary	ADJ
ap-1414	169	10	,	,	PUNCT
ap-1414	169	11	but	but	CCONJ
ap-1414	169	12	see	see	VERB
ap-1414	169	13	smilga	smilga	ADJ
ap-1414	170	1	[	[	X
ap-1414	170	2	18	18	NUM
ap-1414	170	3	]	]	PUNCT
ap-1414	170	4	for	for	ADP
ap-1414	170	5	a	a	DET
ap-1414	170	6	detailed	detailed	ADJ
ap-1414	170	7	discussion	discussion	NOUN
ap-1414	170	8	of	of	ADP
ap-1414	170	9	gaugefixing	gaugefixe	VERB
ap-1414	170	10	for	for	ADP
ap-1414	170	11	ccm	ccm	PROPN
ap-1414	170	12	.	.	PROPN
ap-1414	170	13	6	6	NUM
ap-1414	170	14	quantisation	quantisation	NOUN
ap-1414	170	15	as	as	ADP
ap-1414	170	16	dimensional	dimensional	ADJ
ap-1414	170	17	reduction	reduction	NOUN
ap-1414	170	18	so	so	ADV
ap-1414	170	19	far	far	ADV
ap-1414	170	20	we	we	PRON
ap-1414	170	21	have	have	AUX
ap-1414	170	22	compared	compare	VERB
ap-1414	170	23	the	the	DET
ap-1414	170	24	classical	classical	ADJ
ap-1414	170	25	trajectories	trajectory	NOUN
ap-1414	170	26	of	of	ADP
ap-1414	170	27	particles	particle	NOUN
ap-1414	170	28	in	in	ADP
ap-1414	170	29	complex	complex	ADJ
ap-1414	170	30	phase	phase	NOUN
ap-1414	170	31	space	space	NOUN
ap-1414	170	32	with	with	ADP
ap-1414	170	33	the	the	DET
ap-1414	170	34	classical	classical	ADJ
ap-1414	170	35	trajectories	trajectory	NOUN
ap-1414	170	36	z±	z±	PROPN
ap-1414	170	37	of	of	ADP
ap-1414	170	38	the	the	DET
ap-1414	170	39	ends	end	NOUN
ap-1414	170	40	of	of	ADP
ap-1414	170	41	the	the	DET
ap-1414	170	42	chords	chord	NOUN
ap-1414	170	43	whose	whose	DET
ap-1414	170	44	midpoints	midpoint	NOUN
ap-1414	170	45	are	be	AUX
ap-1414	170	46	the	the	DET
ap-1414	170	47	stationary	stationary	ADJ
ap-1414	170	48	phase	phase	NOUN
ap-1414	170	49	solutions	solution	NOUN
ap-1414	170	50	that	that	PRON
ap-1414	170	51	define	define	VERB
ap-1414	170	52	what	what	PRON
ap-1414	170	53	we	we	PRON
ap-1414	170	54	have	have	AUX
ap-1414	170	55	called	call	VERB
ap-1414	170	56	mean	mean	ADJ
ap-1414	170	57	-	-	PUNCT
ap-1414	170	58	field	field	NOUN
ap-1414	170	59	quantum	quantum	NOUN
ap-1414	170	60	mechanics	mechanic	NOUN
ap-1414	170	61	.	.	PUNCT
ap-1414	171	1	the	the	DET
ap-1414	171	2	doubling	doubling	NOUN
ap-1414	171	3	of	of	ADP
ap-1414	171	4	the	the	DET
ap-1414	171	5	degrees	degree	NOUN
ap-1414	171	6	of	of	ADP
ap-1414	171	7	freedom	freedom	NOUN
ap-1414	171	8	by	by	ADP
ap-1414	171	9	having	have	VERB
ap-1414	171	10	to	to	PART
ap-1414	171	11	take	take	VERB
ap-1414	171	12	account	account	NOUN
ap-1414	171	13	of	of	ADP
ap-1414	171	14	two	two	NUM
ap-1414	171	15	chord	chord	NOUN
ap-1414	171	16	ends	end	NOUN
ap-1414	171	17	has	have	VERB
ap-1414	171	18	its	its	PRON
ap-1414	171	19	counterpart	counterpart	NOUN
ap-1414	171	20	in	in	ADP
ap-1414	171	21	the	the	DET
ap-1414	171	22	doubling	doubling	NOUN
ap-1414	171	23	of	of	ADP
ap-1414	171	24	degrees	degree	NOUN
ap-1414	171	25	of	of	ADP
ap-1414	171	26	freedom	freedom	NOUN
ap-1414	171	27	by	by	ADP
ap-1414	171	28	making	make	VERB
ap-1414	171	29	phase	phase	NOUN
ap-1414	171	30	space	space	NOUN
ap-1414	171	31	complex	complex	NOUN
ap-1414	171	32	.	.	PUNCT
ap-1414	172	1	since	since	SCONJ
ap-1414	172	2	the	the	DET
ap-1414	172	3	chords	chord	NOUN
ap-1414	172	4	are	be	AUX
ap-1414	172	5	of	of	ADP
ap-1414	172	6	length	length	NOUN
ap-1414	172	7	o(h̄	o(h̄	NOUN
ap-1414	172	8	)	)	PUNCT
ap-1414	172	9	we	we	PRON
ap-1414	172	10	recover	recover	VERB
ap-1414	172	11	real	real	ADJ
ap-1414	172	12	classical	classical	ADJ
ap-1414	172	13	mechanics	mechanic	NOUN
ap-1414	172	14	from	from	ADP
ap-1414	172	15	meanfield	meanfield	ADJ
ap-1414	172	16	quantum	quantum	ADJ
ap-1414	172	17	mechanics	mechanic	NOUN
ap-1414	172	18	trivially	trivially	ADV
ap-1414	172	19	and	and	CCONJ
ap-1414	172	20	,	,	PUNCT
ap-1414	172	21	if	if	SCONJ
ap-1414	172	22	the	the	DET
ap-1414	172	23	complex	complex	ADJ
ap-1414	172	24	phase	phase	NOUN
ap-1414	172	25	-	-	PUNCT
ap-1414	172	26	space	space	NOUN
ap-1414	172	27	coordinates	coordinate	NOUN
ap-1414	172	28	are	be	AUX
ap-1414	172	29	,	,	PUNCT
ap-1414	172	30	equally	equally	ADV
ap-1414	172	31	,	,	PUNCT
ap-1414	172	32	o(h̄	o(h̄	NOUN
ap-1414	172	33	)	)	PUNCT
ap-1414	172	34	,	,	PUNCT
ap-1414	172	35	recover	recover	VERB
ap-1414	172	36	real	real	ADJ
ap-1414	172	37	classical	classical	ADJ
ap-1414	172	38	mechanics	mechanic	NOUN
ap-1414	172	39	from	from	ADP
ap-1414	172	40	complex	complex	ADJ
ap-1414	172	41	classical	classical	ADJ
ap-1414	172	42	mechanics	mechanic	NOUN
ap-1414	172	43	at	at	ADP
ap-1414	172	44	the	the	DET
ap-1414	172	45	same	same	ADJ
ap-1414	172	46	time	time	NOUN
ap-1414	172	47	.	.	PUNCT
ap-1414	173	1	however	however	ADV
ap-1414	173	2	,	,	PUNCT
ap-1414	173	3	the	the	DET
ap-1414	173	4	real	real	ADJ
ap-1414	173	5	significance	significance	NOUN
ap-1414	173	6	of	of	ADP
ap-1414	173	7	the	the	DET
ap-1414	173	8	doubling	doubling	NOUN
ap-1414	173	9	of	of	ADP
ap-1414	173	10	degrees	degree	NOUN
ap-1414	173	11	of	of	ADP
ap-1414	173	12	freedom	freedom	NOUN
ap-1414	173	13	in	in	ADP
ap-1414	173	14	the	the	DET
ap-1414	173	15	chords	chord	NOUN
ap-1414	173	16	is	be	AUX
ap-1414	173	17	that	that	SCONJ
ap-1414	173	18	these	these	DET
ap-1414	173	19	new	new	ADJ
ap-1414	173	20	coordinates	coordinate	NOUN
ap-1414	173	21	are	be	AUX
ap-1414	173	22	the	the	DET
ap-1414	173	23	quantum	quantum	ADJ
ap-1414	173	24	generalisations	generalisation	NOUN
ap-1414	173	25	of	of	ADP
ap-1414	173	26	the	the	DET
ap-1414	173	27	classical	classical	ADJ
ap-1414	173	28	‘	'	PUNCT
ap-1414	173	29	momenta	momenta	NOUN
ap-1414	173	30	’	'	PUNCT
ap-1414	173	31	conjugate	conjugate	NOUN
ap-1414	173	32	to	to	ADP
ap-1414	173	33	the	the	DET
ap-1414	173	34	real	real	ADJ
ap-1414	173	35	phase	phase	NOUN
ap-1414	173	36	space	space	NOUN
ap-1414	173	37	variables	variable	NOUN
ap-1414	173	38	in	in	ADP
ap-1414	173	39	the	the	DET
ap-1414	173	40	kvn	kvn	PROPN
ap-1414	173	41	hilbert	hilbert	PROPN
ap-1414	173	42	space	space	NOUN
ap-1414	173	43	formalism	formalism	NOUN
ap-1414	173	44	of	of	ADP
ap-1414	173	45	classical	classical	ADJ
ap-1414	173	46	mechanics	mechanic	NOUN
ap-1414	173	47	.	.	PUNCT
ap-1414	174	1	this	this	PRON
ap-1414	174	2	suggests	suggest	VERB
ap-1414	174	3	an	an	DET
ap-1414	174	4	entirely	entirely	ADV
ap-1414	174	5	different	different	ADJ
ap-1414	174	6	approach	approach	NOUN
ap-1414	174	7	to	to	ADP
ap-1414	174	8	‘	'	PUNCT
ap-1414	174	9	deriving	derive	VERB
ap-1414	174	10	’	'	PUNCT
ap-1414	174	11	quantum	quantum	ADJ
ap-1414	174	12	mechanics	mechanic	NOUN
ap-1414	174	13	from	from	ADP
ap-1414	174	14	classical	classical	ADJ
ap-1414	174	15	mechanics	mechanic	NOUN
ap-1414	174	16	that	that	PRON
ap-1414	174	17	we	we	PRON
ap-1414	174	18	sketch	sketch	VERB
ap-1414	174	19	below	below	ADV
ap-1414	174	20	.	.	PUNCT
ap-1414	175	1	more	more	ADJ
ap-1414	175	2	details	detail	NOUN
ap-1414	175	3	will	will	AUX
ap-1414	175	4	be	be	AUX
ap-1414	175	5	presented	present	VERB
ap-1414	175	6	elsewhere	elsewhere	ADV
ap-1414	175	7	.	.	PUNCT
ap-1414	176	1	it	it	PRON
ap-1414	176	2	relies	rely	VERB
ap-1414	176	3	on	on	ADP
ap-1414	176	4	the	the	DET
ap-1414	176	5	extension	extension	NOUN
ap-1414	176	6	of	of	ADP
ap-1414	176	7	the	the	DET
ap-1414	176	8	formalism	formalism	NOUN
ap-1414	176	9	of	of	ADP
ap-1414	176	10	section	section	NOUN
ap-1414	176	11	2	2	NUM
ap-1414	176	12	to	to	PART
ap-1414	176	13	differential	differential	VERB
ap-1414	176	14	forms	form	NOUN
ap-1414	176	15	by	by	ADP
ap-1414	176	16	gozzi	gozzi	NOUN
ap-1414	176	17	[	[	X
ap-1414	176	18	10	10	NUM
ap-1414	176	19	]	]	PUNCT
ap-1414	176	20	,	,	PUNCT
ap-1414	176	21	that	that	SCONJ
ap-1414	176	22	we	we	PRON
ap-1414	176	23	have	have	AUX
ap-1414	176	24	already	already	ADV
ap-1414	176	25	alluded	allude	VERB
ap-1414	176	26	to	to	ADP
ap-1414	176	27	above	above	ADV
ap-1414	176	28	.	.	PUNCT
ap-1414	177	1	for	for	ADP
ap-1414	177	2	the	the	DET
ap-1414	177	3	moment	moment	NOUN
ap-1414	177	4	we	we	PRON
ap-1414	177	5	stay	stay	VERB
ap-1414	177	6	firmly	firmly	ADV
ap-1414	177	7	with	with	ADP
ap-1414	177	8	classical	classical	ADJ
ap-1414	177	9	mechanics	mechanic	NOUN
ap-1414	177	10	in	in	ADP
ap-1414	177	11	real	real	ADJ
ap-1414	177	12	phase	phase	NOUN
ap-1414	177	13	space	space	NOUN
ap-1414	177	14	.	.	PUNCT
ap-1414	178	1	the	the	DET
ap-1414	178	2	rightmost	rightmost	ADJ
ap-1414	178	3	integral	integral	ADJ
ap-1414	178	4	of	of	ADP
ap-1414	178	5	(	(	PUNCT
ap-1414	178	6	2.3	2.3	NUM
ap-1414	178	7	)	)	PUNCT
ap-1414	178	8	contains	contain	VERB
ap-1414	178	9	the	the	DET
ap-1414	178	10	jacobian	jacobian	PROPN
ap-1414	178	11	j	j	PROPN
ap-1414	178	12	:	:	PUNCT
ap-1414	178	13	=	=	SYM
ap-1414	179	1	det(δa	det(δa	X
ap-1414	179	2	b	b	X
ap-1414	179	3	∂t	∂t	PROPN
ap-1414	179	4	−	−	PROPN
ap-1414	179	5	ωac∂c∂bh	ωac∂c∂bh	PROPN
ap-1414	179	6	)	)	PUNCT
ap-1414	179	7	(	(	PUNCT
ap-1414	179	8	6.38	6.38	NUM
ap-1414	179	9	)	)	PUNCT
ap-1414	179	10	which	which	PRON
ap-1414	179	11	we	we	PRON
ap-1414	179	12	have	have	AUX
ap-1414	179	13	set	set	VERB
ap-1414	179	14	to	to	ADP
ap-1414	179	15	unity	unity	NOUN
ap-1414	179	16	,	,	PUNCT
ap-1414	179	17	as	as	ADP
ap-1414	179	18	a	a	DET
ap-1414	179	19	consequence	consequence	NOUN
ap-1414	179	20	of	of	ADP
ap-1414	179	21	the	the	DET
ap-1414	179	22	incompressibility	incompressibility	NOUN
ap-1414	179	23	of	of	ADP
ap-1414	179	24	phase	phase	NOUN
ap-1414	179	25	space	space	NOUN
ap-1414	179	26	.	.	PUNCT
ap-1414	180	1	however	however	ADV
ap-1414	180	2	,	,	PUNCT
ap-1414	180	3	we	we	PRON
ap-1414	180	4	can	can	AUX
ap-1414	180	5	87	87	NUM
ap-1414	180	6	acta	acta	PROPN
ap-1414	180	7	polytechnica	polytechnica	PROPN
ap-1414	180	8	vol	vol	NOUN
ap-1414	180	9	.	.	PUNCT
ap-1414	181	1	51	51	NUM
ap-1414	181	2	no	no	INTJ
ap-1414	181	3	.	.	PUNCT
ap-1414	182	1	4/2011	4/2011	NUM
ap-1414	182	2	equally	equally	ADV
ap-1414	182	3	express	express	VERB
ap-1414	182	4	it	it	PRON
ap-1414	182	5	in	in	ADP
ap-1414	182	6	terms	term	NOUN
ap-1414	182	7	of	of	ADP
ap-1414	182	8	2	2	NUM
ap-1414	182	9	+	+	SYM
ap-1414	182	10	2	2	NUM
ap-1414	182	11	ghost	ghost	NOUN
ap-1414	182	12	-	-	PUNCT
ap-1414	182	13	field	field	NOUN
ap-1414	182	14	grassmann	grassmann	NOUN
ap-1414	182	15	variables	variable	NOUN
ap-1414	182	16	(	(	PUNCT
ap-1414	182	17	ca	ca	NOUN
ap-1414	182	18	,	,	PUNCT
ap-1414	182	19	c̄a	c̄a	PROPN
ap-1414	182	20	)	)	PUNCT
ap-1414	182	21	as	as	ADP
ap-1414	182	22	[	[	X
ap-1414	182	23	10	10	NUM
ap-1414	182	24	]	]	X
ap-1414	182	25	j	j	PROPN
ap-1414	182	26	=	=	SYM
ap-1414	182	27	∫	∫	PROPN
ap-1414	183	1	dc̄adca	dc̄adca	PROPN
ap-1414	183	2	·	·	PUNCT
ap-1414	183	3	(	(	PUNCT
ap-1414	183	4	6.39	6.39	NUM
ap-1414	183	5	)	)	PUNCT
ap-1414	183	6	exp	exp	NOUN
ap-1414	183	7	[	[	PUNCT
ap-1414	183	8	−	−	PROPN
ap-1414	183	9	∫	∫	PROPN
ap-1414	183	10	dtc̄a[δa	dtc̄a[δa	PROPN
ap-1414	183	11	b	b	PROPN
ap-1414	183	12	∂t	∂t	PROPN
ap-1414	183	13	−	−	PROPN
ap-1414	183	14	ωac∂c∂bh	ωac∂c∂bh	NUM
ap-1414	184	1	]	]	X
ap-1414	184	2	cb	cb	X
ap-1414	184	3	]	]	PUNCT
ap-1414	184	4	.	.	PUNCT
ap-1414	185	1	inserting	insert	VERB
ap-1414	185	2	this	this	PRON
ap-1414	185	3	in	in	ADP
ap-1414	185	4	the	the	DET
ap-1414	185	5	integrand	integrand	NOUN
ap-1414	185	6	of	of	ADP
ap-1414	185	7	the	the	DET
ap-1414	185	8	rightmost	rightmost	ADJ
ap-1414	185	9	path	path	NOUN
ap-1414	185	10	integral	integral	ADJ
ap-1414	185	11	in	in	ADP
ap-1414	185	12	(	(	PUNCT
ap-1414	185	13	2.3	2.3	NUM
ap-1414	185	14	)	)	PUNCT
ap-1414	185	15	enables	enable	VERB
ap-1414	185	16	us	we	PRON
ap-1414	185	17	to	to	PART
ap-1414	185	18	write	write	VERB
ap-1414	185	19	the	the	DET
ap-1414	185	20	kernel	kernel	NOUN
ap-1414	185	21	kcl	kcl	PROPN
ap-1414	185	22	as	as	ADP
ap-1414	185	23	kcl	kcl	PROPN
ap-1414	185	24	=	=	PROPN
ap-1414	185	25	∫	∫	PROPN
ap-1414	185	26	dxadπadc̄adca	dxadπadc̄adca	NOUN
ap-1414	185	27	exp	exp	PROPN
ap-1414	186	1	[	[	PUNCT
ap-1414	186	2	i	i	PRON
ap-1414	186	3	∫	∫	PROPN
ap-1414	186	4	dt	dt	X
ap-1414	186	5	l̄cl	l̄cl	PROPN
ap-1414	186	6	]	]	PUNCT
ap-1414	186	7	(	(	PUNCT
ap-1414	186	8	6.40	6.40	NUM
ap-1414	186	9	)	)	PUNCT
ap-1414	186	10	where	where	SCONJ
ap-1414	186	11	we	we	PRON
ap-1414	186	12	have	have	AUX
ap-1414	186	13	dropped	drop	VERB
ap-1414	186	14	explicit	explicit	ADJ
ap-1414	186	15	mention	mention	NOUN
ap-1414	186	16	of	of	ADP
ap-1414	186	17	boundary	boundary	ADJ
ap-1414	186	18	conditions	condition	NOUN
ap-1414	186	19	to	to	PART
ap-1414	186	20	simplify	simplify	VERB
ap-1414	186	21	the	the	DET
ap-1414	186	22	notation	notation	NOUN
ap-1414	186	23	.	.	PUNCT
ap-1414	187	1	in	in	ADP
ap-1414	187	2	(	(	PUNCT
ap-1414	187	3	6.40	6.40	NUM
ap-1414	187	4	)	)	PUNCT
ap-1414	187	5	lcl	lcl	NOUN
ap-1414	187	6	of	of	ADP
ap-1414	187	7	(	(	PUNCT
ap-1414	187	8	2.8	2.8	NUM
ap-1414	187	9	)	)	PUNCT
ap-1414	187	10	is	be	AUX
ap-1414	187	11	replaced	replace	VERB
ap-1414	187	12	by	by	ADP
ap-1414	187	13	l̄cl	l̄cl	NOUN
ap-1414	187	14	=	=	SYM
ap-1414	187	15	πa[ẋa	πa[ẋa	ADJ
ap-1414	187	16	−	−	PROPN
ap-1414	187	17	ωab∂bh	ωab∂bh	NOUN
ap-1414	187	18	]	]	PUNCT
ap-1414	188	1	+	+	CCONJ
ap-1414	188	2	ic̄a[δa	ic̄a[δa	PROPN
ap-1414	188	3	b	b	PROPN
ap-1414	188	4	∂t	∂t	PROPN
ap-1414	188	5	−	−	PROPN
ap-1414	189	1	ωac∂c∂bh	ωac∂c∂bh	NUM
ap-1414	189	2	]	]	X
ap-1414	189	3	cb	cb	X
ap-1414	189	4	=	=	SYM
ap-1414	189	5	πaẋa	πaẋa	PROPN
ap-1414	189	6	+	+	CCONJ
ap-1414	189	7	ic̄aċa	ic̄aċa	PROPN
ap-1414	189	8	−	−	PROPN
ap-1414	189	9	h̄cl	h̄cl	NOUN
ap-1414	189	10	,	,	PUNCT
ap-1414	189	11	(	(	PUNCT
ap-1414	189	12	6.41	6.41	NUM
ap-1414	189	13	)	)	PUNCT
ap-1414	189	14	where	where	SCONJ
ap-1414	189	15	the	the	DET
ap-1414	189	16	hamiltonian	hamiltonian	NOUN
ap-1414	189	17	associated	associate	VERB
ap-1414	189	18	with	with	ADP
ap-1414	189	19	l̄	l̄	NOUN
ap-1414	189	20	of	of	ADP
ap-1414	189	21	(	(	PUNCT
ap-1414	189	22	6.41	6.41	NUM
ap-1414	189	23	)	)	PUNCT
ap-1414	189	24	is	be	AUX
ap-1414	189	25	now	now	ADV
ap-1414	189	26	h̄cl	h̄cl	NOUN
ap-1414	189	27	=	=	SYM
ap-1414	189	28	πaωab∂bh	πaωab∂bh	PROPN
ap-1414	189	29	+	+	NUM
ap-1414	189	30	ic̄aωac∂c∂bhcb	ic̄aωac∂c∂bhcb	NOUN
ap-1414	189	31	.	.	PUNCT
ap-1414	190	1	(	(	PUNCT
ap-1414	190	2	6.42	6.42	NUM
ap-1414	190	3	)	)	PUNCT
ap-1414	190	4	the	the	DET
ap-1414	190	5	equations	equation	NOUN
ap-1414	190	6	of	of	ADP
ap-1414	190	7	motion	motion	NOUN
ap-1414	190	8	that	that	PRON
ap-1414	190	9	follow	follow	VERB
ap-1414	190	10	from	from	ADP
ap-1414	190	11	l̃cl	l̃cl	PROPN
ap-1414	190	12	show	show	VERB
ap-1414	190	13	that	that	SCONJ
ap-1414	190	14	the	the	DET
ap-1414	190	15	(	(	PUNCT
ap-1414	190	16	ca	ca	NOUN
ap-1414	190	17	,	,	PUNCT
ap-1414	190	18	c̄a	c̄a	PROPN
ap-1414	190	19	)	)	PUNCT
ap-1414	190	20	are	be	AUX
ap-1414	190	21	conjugate	conjugate	ADJ
ap-1414	190	22	jacobi	jacobi	PROPN
ap-1414	190	23	variables	variable	NOUN
ap-1414	190	24	in	in	ADP
ap-1414	190	25	the	the	DET
ap-1414	190	26	sense	sense	NOUN
ap-1414	190	27	of	of	ADP
ap-1414	190	28	(	(	PUNCT
ap-1414	190	29	2.5	2.5	NUM
ap-1414	190	30	)	)	PUNCT
ap-1414	190	31	and	and	CCONJ
ap-1414	190	32	that	that	DET
ap-1414	190	33	h̄cl	h̄cl	NOUN
ap-1414	190	34	is	be	AUX
ap-1414	190	35	the	the	DET
ap-1414	190	36	lie	lie	NOUN
ap-1414	190	37	derivative	derivative	NOUN
ap-1414	190	38	of	of	ADP
ap-1414	190	39	hamiltonian	hamiltonian	ADJ
ap-1414	190	40	flow	flow	NOUN
ap-1414	190	41	associated	associate	VERB
ap-1414	190	42	with	with	ADP
ap-1414	190	43	hcl	hcl	PROPN
ap-1414	190	44	[	[	X
ap-1414	190	45	10	10	NUM
ap-1414	190	46	]	]	PUNCT
ap-1414	190	47	.	.	PUNCT
ap-1414	191	1	all	all	PRON
ap-1414	191	2	that	that	PRON
ap-1414	191	3	matters	matter	VERB
ap-1414	191	4	for	for	ADP
ap-1414	191	5	this	this	DET
ap-1414	191	6	discussion	discussion	NOUN
ap-1414	191	7	is	be	AUX
ap-1414	191	8	that	that	SCONJ
ap-1414	191	9	,	,	PUNCT
ap-1414	191	10	on	on	ADP
ap-1414	191	11	introducing	introduce	VERB
ap-1414	191	12	grassmann	grassmann	NOUN
ap-1414	191	13	partners	partner	NOUN
ap-1414	191	14	(	(	PUNCT
ap-1414	191	15	θ	θ	NOUN
ap-1414	191	16	,	,	PUNCT
ap-1414	191	17	θ̄	θ̄	ADJ
ap-1414	191	18	)	)	PUNCT
ap-1414	191	19	to	to	ADP
ap-1414	191	20	time	time	NOUN
ap-1414	191	21	t	t	PROPN
ap-1414	191	22	,	,	PUNCT
ap-1414	191	23	we	we	PRON
ap-1414	191	24	can	can	AUX
ap-1414	191	25	construct	construct	VERB
ap-1414	191	26	superspace	superspace	NOUN
ap-1414	191	27	phase	phase	NOUN
ap-1414	191	28	space	space	NOUN
ap-1414	191	29	variables	variable	VERB
ap-1414	191	30	φ	φ	PROPN
ap-1414	191	31	=	=	SYM
ap-1414	191	32	(	(	PUNCT
ap-1414	191	33	x	x	X
ap-1414	191	34	,	,	PUNCT
ap-1414	191	35	p	p	NOUN
ap-1414	191	36	)	)	PUNCT
ap-1414	191	37	φa(t	φa(t	NUM
ap-1414	191	38	,	,	PUNCT
ap-1414	191	39	θ	θ	NOUN
ap-1414	191	40	,	,	PUNCT
ap-1414	191	41	θ̄	θ̄	ADJ
ap-1414	191	42	)	)	PUNCT
ap-1414	191	43	:	:	PUNCT
ap-1414	192	1	=	=	NOUN
ap-1414	192	2	ϕa(t	ϕa(t	PUNCT
ap-1414	192	3	)	)	PUNCT
ap-1414	192	4	+	+	CCONJ
ap-1414	192	5	θca(t	θca(t	NOUN
ap-1414	192	6	)	)	PUNCT
ap-1414	192	7	+	+	CCONJ
ap-1414	192	8	(	(	PUNCT
ap-1414	192	9	6.43	6.43	NUM
ap-1414	192	10	)	)	PUNCT
ap-1414	192	11	θ̄c̄a(t	θ̄c̄a(t	NOUN
ap-1414	192	12	)	)	PUNCT
ap-1414	193	1	+	+	CCONJ
ap-1414	193	2	iθ̄θωabπb	iθ̄θωabπb	PRON
ap-1414	193	3	we	we	PRON
ap-1414	193	4	note	note	VERB
ap-1414	193	5	that	that	SCONJ
ap-1414	193	6	θ̄θ	θ̄θ	PROPN
ap-1414	193	7	has	have	VERB
ap-1414	193	8	the	the	DET
ap-1414	193	9	dimensions	dimension	NOUN
ap-1414	193	10	of	of	ADP
ap-1414	193	11	inverse	inverse	NOUN
ap-1414	193	12	action	action	NOUN
ap-1414	193	13	.	.	PUNCT
ap-1414	194	1	it	it	PRON
ap-1414	194	2	follows	follow	VERB
ap-1414	194	3	[	[	X
ap-1414	194	4	10	10	NUM
ap-1414	194	5	]	]	PUNCT
ap-1414	194	6	that	that	SCONJ
ap-1414	195	1	i	i	PRON
ap-1414	195	2	∫	∫	PROPN
ap-1414	196	1	dθ	dθ	PROPN
ap-1414	196	2	dθ̄	dθ̄	PROPN
ap-1414	196	3	hcl(φ	hcl(φ	PROPN
ap-1414	196	4	)	)	PUNCT
ap-1414	197	1	=	=	SYM
ap-1414	197	2	hcl(ϕ	hcl(ϕ	PROPN
ap-1414	197	3	,	,	PUNCT
ap-1414	197	4	π	π	PROPN
ap-1414	197	5	)	)	PUNCT
ap-1414	197	6	.	.	PUNCT
ap-1414	198	1	(	(	PUNCT
ap-1414	198	2	6.44	6.44	NUM
ap-1414	198	3	)	)	PUNCT
ap-1414	198	4	similarly	similarly	ADV
ap-1414	198	5	,	,	PUNCT
ap-1414	199	1	i	i	PRON
ap-1414	199	2	∫	∫	PROPN
ap-1414	199	3	dt	dt	PROPN
ap-1414	200	1	dθ	dθ	PROPN
ap-1414	200	2	dθ̄	dθ̄	PROPN
ap-1414	200	3	lcl(φ	lcl(φ	PROPN
ap-1414	200	4	)	)	PUNCT
ap-1414	201	1	=	=	SYM
ap-1414	201	2	∫	∫	PROPN
ap-1414	202	1	dtlcl(ϕ	dtlcl(ϕ	PROPN
ap-1414	202	2	,	,	PUNCT
ap-1414	202	3	π	π	PROPN
ap-1414	202	4	)	)	PUNCT
ap-1414	202	5	,	,	PUNCT
ap-1414	202	6	(	(	PUNCT
ap-1414	202	7	6.45	6.45	NUM
ap-1414	202	8	)	)	PUNCT
ap-1414	202	9	where	where	SCONJ
ap-1414	202	10	lcl	lcl	PROPN
ap-1414	202	11	=	=	SYM
ap-1414	202	12	pẋ	pẋ	PROPN
ap-1414	202	13	−	−	PROPN
ap-1414	202	14	hcl	hcl	PROPN
ap-1414	202	15	.	.	PUNCT
ap-1414	203	1	(	(	PUNCT
ap-1414	203	2	6.46	6.46	NUM
ap-1414	203	3	)	)	PUNCT
ap-1414	203	4	the	the	DET
ap-1414	203	5	theory	theory	NOUN
ap-1414	203	6	possesses	possess	VERB
ap-1414	203	7	brs	br	VERB
ap-1414	203	8	invariance	invariance	NOUN
ap-1414	203	9	.	.	PUNCT
ap-1414	204	1	we	we	PRON
ap-1414	204	2	retrieve	retrieve	VERB
ap-1414	204	3	quantum	quantum	ADJ
ap-1414	204	4	mechanics	mechanic	NOUN
ap-1414	204	5	from	from	ADP
ap-1414	204	6	classical	classical	ADJ
ap-1414	204	7	mechanics	mechanic	NOUN
ap-1414	204	8	by	by	ADP
ap-1414	204	9	making	make	VERB
ap-1414	204	10	the	the	DET
ap-1414	204	11	dimensional	dimensional	ADJ
ap-1414	204	12	reduction	reduction	NOUN
ap-1414	204	13	[	[	X
ap-1414	204	14	24	24	NUM
ap-1414	204	15	]	]	PUNCT
ap-1414	204	16	ih̄	ih̄	NOUN
ap-1414	204	17	∫	∫	PROPN
ap-1414	205	1	dt	dt	PROPN
ap-1414	206	1	dθ	dθ	PROPN
ap-1414	206	2	dθ̄	dθ̄	PROPN
ap-1414	206	3	→	→	SYM
ap-1414	206	4	∫	∫	PROPN
ap-1414	206	5	dt	dt	X
ap-1414	206	6	(	(	PUNCT
ap-1414	206	7	6.47	6.47	NUM
ap-1414	206	8	)	)	PUNCT
ap-1414	206	9	in	in	ADP
ap-1414	206	10	superspace	superspace	NOUN
ap-1414	206	11	,	,	PUNCT
ap-1414	206	12	together	together	ADV
ap-1414	206	13	with	with	ADP
ap-1414	206	14	(	(	PUNCT
ap-1414	206	15	x	x	X
ap-1414	206	16	,	,	PUNCT
ap-1414	206	17	p	p	NOUN
ap-1414	206	18	)	)	PUNCT
ap-1414	206	19	→	→	SYM
ap-1414	206	20	(	(	PUNCT
ap-1414	206	21	x	x	X
ap-1414	206	22	,	,	PUNCT
ap-1414	206	23	p	p	NOUN
ap-1414	206	24	)	)	PUNCT
ap-1414	206	25	in	in	ADP
ap-1414	206	26	phase	phase	NOUN
ap-1414	206	27	space	space	NOUN
ap-1414	206	28	.	.	PUNCT
ap-1414	207	1	see	see	VERB
ap-1414	207	2	also	also	ADV
ap-1414	207	3	[	[	X
ap-1414	207	4	25	25	NUM
ap-1414	207	5	]	]	PUNCT
ap-1414	207	6	for	for	ADP
ap-1414	207	7	the	the	DET
ap-1414	207	8	relationship	relationship	NOUN
ap-1414	207	9	of	of	ADP
ap-1414	207	10	this	this	DET
ap-1414	207	11	approach	approach	NOUN
ap-1414	207	12	to	to	ADP
ap-1414	207	13	‘	'	PUNCT
ap-1414	207	14	t	t	PROPN
ap-1414	207	15	hooft	hooft	PROPN
ap-1414	207	16	’s	’s	PART
ap-1414	207	17	derivation	derivation	NOUN
ap-1414	207	18	of	of	ADP
ap-1414	207	19	quantum	quantum	NOUN
ap-1414	207	20	from	from	ADP
ap-1414	207	21	classical	classical	ADJ
ap-1414	207	22	physics	physics	NOUN
ap-1414	207	23	[	[	X
ap-1414	207	24	26	26	NUM
ap-1414	207	25	,	,	PUNCT
ap-1414	207	26	27	27	NUM
ap-1414	207	27	]	]	PUNCT
ap-1414	207	28	.	.	PUNCT
ap-1414	208	1	this	this	DET
ap-1414	208	2	analysis	analysis	NOUN
ap-1414	208	3	permits	permit	VERB
ap-1414	208	4	a	a	DET
ap-1414	208	5	natural	natural	ADJ
ap-1414	208	6	extension	extension	NOUN
ap-1414	208	7	to	to	ADP
ap-1414	208	8	complex	complex	ADJ
ap-1414	208	9	phase	phase	NOUN
ap-1414	208	10	space	space	NOUN
ap-1414	208	11	,	,	PUNCT
ap-1414	208	12	with	with	ADP
ap-1414	208	13	co	co	NOUN
ap-1414	208	14	-	-	NOUN
ap-1414	208	15	ordinates	ordinate	NOUN
ap-1414	208	16	xa	xa	PROPN
ap-1414	208	17	of	of	ADP
ap-1414	208	18	(	(	PUNCT
ap-1414	208	19	4.31	4.31	NUM
ap-1414	208	20	)	)	PUNCT
ap-1414	208	21	.	.	PUNCT
ap-1414	209	1	the	the	DET
ap-1414	209	2	first	first	ADJ
ap-1414	209	3	step	step	NOUN
ap-1414	209	4	is	be	AUX
ap-1414	209	5	to	to	PART
ap-1414	209	6	double	double	VERB
ap-1414	209	7	this	this	PRON
ap-1414	209	8	already	already	ADV
ap-1414	209	9	doubled	double	VERB
ap-1414	209	10	phase	phase	NOUN
ap-1414	209	11	space	space	NOUN
ap-1414	209	12	by	by	ADP
ap-1414	209	13	introducing	introduce	VERB
ap-1414	209	14	four	four	NUM
ap-1414	209	15	conjugate	conjugate	ADJ
ap-1414	209	16	variables	variable	NOUN
ap-1414	209	17	π̄a	π̄a	NOUN
ap-1414	209	18	,	,	PUNCT
ap-1414	209	19	to	to	PART
ap-1414	209	20	be	be	AUX
ap-1414	209	21	supplemented	supplement	VERB
ap-1414	209	22	by	by	ADP
ap-1414	209	23	(	(	PUNCT
ap-1414	209	24	now	now	ADV
ap-1414	209	25	4	4	NUM
ap-1414	209	26	+	+	SYM
ap-1414	209	27	4	4	NUM
ap-1414	209	28	)	)	PUNCT
ap-1414	209	29	grassmann	grassmann	NOUN
ap-1414	209	30	variables	variable	NOUN
ap-1414	209	31	(	(	PUNCT
ap-1414	209	32	ca	ca	NOUN
ap-1414	209	33	,	,	PUNCT
ap-1414	209	34	c̄a	c̄a	PROPN
ap-1414	209	35	)	)	PUNCT
ap-1414	209	36	.	.	PUNCT
ap-1414	210	1	we	we	PRON
ap-1414	210	2	then	then	ADV
ap-1414	210	3	look	look	VERB
ap-1414	210	4	for	for	ADP
ap-1414	210	5	brs	brs	NOUN
ap-1414	210	6	symmetry	symmetry	NOUN
ap-1414	210	7	in	in	ADP
ap-1414	210	8	this	this	DET
ap-1414	210	9	extended	extended	ADJ
ap-1414	210	10	space	space	NOUN
ap-1414	210	11	.	.	PUNCT
ap-1414	211	1	a	a	DET
ap-1414	211	2	superspace	superspace	NOUN
ap-1414	211	3	realisation	realisation	NOUN
ap-1414	211	4	of	of	ADP
ap-1414	211	5	this	this	DET
ap-1414	211	6	extended	extended	ADJ
ap-1414	211	7	theory	theory	NOUN
ap-1414	211	8	is	be	AUX
ap-1414	211	9	possible	possible	ADJ
ap-1414	211	10	.	.	PUNCT
ap-1414	212	1	it	it	PRON
ap-1414	212	2	is	be	AUX
ap-1414	212	3	then	then	ADV
ap-1414	212	4	interesting	interesting	ADJ
ap-1414	212	5	to	to	PART
ap-1414	212	6	look	look	VERB
ap-1414	212	7	at	at	ADP
ap-1414	212	8	its	its	PRON
ap-1414	212	9	dimensional	dimensional	ADJ
ap-1414	212	10	reduction	reduction	NOUN
ap-1414	212	11	,	,	PUNCT
ap-1414	212	12	not	not	PART
ap-1414	212	13	yet	yet	ADV
ap-1414	212	14	attempted	attempt	VERB
ap-1414	212	15	.	.	PUNCT
ap-1414	213	1	if	if	SCONJ
ap-1414	213	2	the	the	DET
ap-1414	213	3	outcome	outcome	NOUN
ap-1414	213	4	is	be	AUX
ap-1414	213	5	quantum	quantum	ADJ
ap-1414	213	6	mechanics	mechanic	NOUN
ap-1414	213	7	,	,	PUNCT
ap-1414	213	8	it	it	PRON
ap-1414	213	9	will	will	AUX
ap-1414	213	10	be	be	AUX
ap-1414	213	11	quantum	quantum	ADJ
ap-1414	213	12	mechanics	mechanic	NOUN
ap-1414	213	13	defined	define	VERB
ap-1414	213	14	on	on	ADP
ap-1414	213	15	complex	complex	ADJ
ap-1414	213	16	phase	phase	NOUN
ap-1414	213	17	space	space	NOUN
ap-1414	213	18	,	,	PUNCT
ap-1414	213	19	i.e.	i.e.	X
ap-1414	213	20	we	we	PRON
ap-1414	213	21	shall	shall	AUX
ap-1414	213	22	be	be	AUX
ap-1414	213	23	looking	look	VERB
ap-1414	213	24	at	at	ADP
ap-1414	213	25	probability	probability	NOUN
ap-1414	213	26	densities	density	NOUN
ap-1414	213	27	in	in	ADP
ap-1414	213	28	the	the	DET
ap-1414	213	29	complex	complex	ADJ
ap-1414	213	30	plane	plane	NOUN
ap-1414	213	31	[	[	X
ap-1414	213	32	28	28	NUM
ap-1414	213	33	]	]	PUNCT
ap-1414	213	34	.	.	PUNCT
ap-1414	214	1	this	this	PRON
ap-1414	214	2	is	be	AUX
ap-1414	214	3	to	to	PART
ap-1414	214	4	be	be	AUX
ap-1414	214	5	distinguished	distinguish	VERB
ap-1414	214	6	from	from	ADP
ap-1414	214	7	the	the	DET
ap-1414	214	8	results	result	NOUN
ap-1414	214	9	of	of	ADP
ap-1414	214	10	[	[	X
ap-1414	214	11	3	3	NUM
ap-1414	214	12	]	]	PUNCT
ap-1414	214	13	,	,	PUNCT
ap-1414	214	14	in	in	ADP
ap-1414	214	15	which	which	DET
ap-1414	214	16	comparison	comparison	NOUN
ap-1414	214	17	is	be	AUX
ap-1414	214	18	made	make	VERB
ap-1414	214	19	between	between	ADP
ap-1414	214	20	ccm	ccm	NOUN
ap-1414	214	21	and	and	CCONJ
ap-1414	214	22	quantum	quantum	NOUN
ap-1414	214	23	mechanics	mechanic	NOUN
ap-1414	214	24	in	in	ADP
ap-1414	214	25	the	the	DET
ap-1414	214	26	real	real	ADJ
ap-1414	214	27	plane	plane	NOUN
ap-1414	214	28	.	.	PUNCT
ap-1414	215	1	however	however	ADV
ap-1414	215	2	,	,	PUNCT
ap-1414	215	3	it	it	PRON
ap-1414	215	4	will	will	AUX
ap-1414	215	5	allow	allow	VERB
ap-1414	215	6	for	for	ADP
ap-1414	215	7	a	a	DET
ap-1414	215	8	discussion	discussion	NOUN
ap-1414	215	9	of	of	ADP
ap-1414	215	10	pseudo	pseudo	NOUN
ap-1414	215	11	-	-	ADJ
ap-1414	215	12	hermitian	hermitian	ADJ
ap-1414	215	13	hamiltonians	hamiltonian	NOUN
ap-1414	215	14	,	,	PUNCT
ap-1414	215	15	whose	whose	DET
ap-1414	215	16	quantum	quantum	NOUN
ap-1414	215	17	mechanics	mechanic	NOUN
ap-1414	215	18	has	have	AUX
ap-1414	215	19	already	already	ADV
ap-1414	215	20	been	be	AUX
ap-1414	215	21	described	describe	VERB
ap-1414	215	22	in	in	ADP
ap-1414	215	23	detail	detail	NOUN
ap-1414	215	24	[	[	X
ap-1414	215	25	7–9	7–9	X
ap-1414	215	26	]	]	PUNCT
ap-1414	215	27	and	and	CCONJ
ap-1414	215	28	with	with	ADP
ap-1414	215	29	which	which	PRON
ap-1414	215	30	much	much	ADJ
ap-1414	215	31	of	of	ADP
ap-1414	215	32	the	the	DET
ap-1414	215	33	discussion	discussion	NOUN
ap-1414	215	34	of	of	ADP
ap-1414	215	35	[	[	X
ap-1414	215	36	18	18	NUM
ap-1414	215	37	]	]	PUNCT
ap-1414	215	38	was	be	AUX
ap-1414	215	39	concerned	concern	VERB
ap-1414	215	40	.	.	PUNCT
ap-1414	216	1	7	7	NUM
ap-1414	216	2	conclusions	conclusion	NOUN
ap-1414	216	3	our	our	PRON
ap-1414	216	4	conclusions	conclusion	NOUN
ap-1414	216	5	derived	derive	VERB
ap-1414	216	6	from	from	ADP
ap-1414	216	7	these	these	DET
ap-1414	216	8	explorations	exploration	NOUN
ap-1414	216	9	of	of	ADP
ap-1414	216	10	path	path	NOUN
ap-1414	216	11	integrals	integral	NOUN
ap-1414	216	12	are	be	AUX
ap-1414	216	13	somewhat	somewhat	ADV
ap-1414	216	14	schizophrenic	schizophrenic	ADJ
ap-1414	216	15	.	.	PUNCT
ap-1414	217	1	on	on	ADP
ap-1414	217	2	the	the	DET
ap-1414	217	3	one	one	NUM
ap-1414	217	4	hand	hand	NOUN
ap-1414	217	5	,	,	PUNCT
ap-1414	217	6	if	if	SCONJ
ap-1414	217	7	we	we	PRON
ap-1414	217	8	take	take	VERB
ap-1414	217	9	the	the	DET
ap-1414	217	10	behaviour	behaviour	NOUN
ap-1414	217	11	of	of	ADP
ap-1414	217	12	particles	particle	NOUN
ap-1414	217	13	in	in	ADP
ap-1414	217	14	complex	complex	ADJ
ap-1414	217	15	classical	classical	ADJ
ap-1414	217	16	mechanics	mechanic	NOUN
ap-1414	217	17	(	(	PUNCT
ap-1414	217	18	ccm	ccm	NOUN
ap-1414	217	19	)	)	PUNCT
ap-1414	217	20	as	as	ADP
ap-1414	217	21	really	really	ADV
ap-1414	217	22	reflecting	reflect	VERB
ap-1414	217	23	attributes	attribute	NOUN
ap-1414	217	24	of	of	ADP
ap-1414	217	25	quantum	quantum	ADJ
ap-1414	217	26	mechanics	mechanic	NOUN
ap-1414	217	27	(	(	PUNCT
ap-1414	217	28	qm	qm	PROPN
ap-1414	217	29	)	)	PUNCT
ap-1414	217	30	,	,	PUNCT
ap-1414	217	31	then	then	ADV
ap-1414	217	32	formal	formal	ADJ
ap-1414	217	33	similarities	similarity	NOUN
ap-1414	217	34	between	between	ADP
ap-1414	217	35	ccm	ccm	NOUN
ap-1414	217	36	and	and	CCONJ
ap-1414	217	37	mean	mean	ADJ
ap-1414	217	38	-	-	PUNCT
ap-1414	217	39	field	field	NOUN
ap-1414	217	40	quantum	quantum	NOUN
ap-1414	217	41	mechanics	mechanic	NOUN
ap-1414	217	42	(	(	PUNCT
ap-1414	217	43	mfqm	mfqm	NOUN
ap-1414	217	44	)	)	PUNCT
ap-1414	217	45	suggest	suggest	VERB
ap-1414	217	46	that	that	SCONJ
ap-1414	217	47	the	the	DET
ap-1414	217	48	complex	complex	ADJ
ap-1414	217	49	dimensions	dimension	NOUN
ap-1414	217	50	of	of	ADP
ap-1414	217	51	ccm	ccm	NOUN
ap-1414	217	52	should	should	AUX
ap-1414	217	53	be	be	AUX
ap-1414	217	54	taken	take	VERB
ap-1414	217	55	as	as	ADP
ap-1414	217	56	o(h̄	o(h̄	NOUN
ap-1414	217	57	)	)	PUNCT
ap-1414	217	58	.	.	PUNCT
ap-1414	218	1	this	this	PRON
ap-1414	218	2	resolves	resolve	VERB
ap-1414	218	3	several	several	ADJ
ap-1414	218	4	issues	issue	NOUN
ap-1414	218	5	with	with	ADP
ap-1414	218	6	ccm	ccm	PROPN
ap-1414	218	7	,	,	PUNCT
ap-1414	218	8	such	such	ADJ
ap-1414	218	9	as	as	ADP
ap-1414	218	10	how	how	SCONJ
ap-1414	218	11	classical	classical	ADJ
ap-1414	218	12	mechanics	mechanic	NOUN
ap-1414	218	13	distinguishes	distinguish	VERB
ap-1414	218	14	between	between	ADP
ap-1414	218	15	classical	classical	ADJ
ap-1414	218	16	and	and	CCONJ
ap-1414	218	17	quantum	quantum	NOUN
ap-1414	218	18	systems	system	NOUN
ap-1414	218	19	,	,	PUNCT
ap-1414	218	20	and	and	CCONJ
ap-1414	218	21	how	how	SCONJ
ap-1414	218	22	to	to	PART
ap-1414	218	23	interpret	interpret	VERB
ap-1414	218	24	uncertainty	uncertainty	NOUN
ap-1414	218	25	relations	relation	NOUN
ap-1414	218	26	.	.	PUNCT
ap-1414	219	1	on	on	ADP
ap-1414	219	2	the	the	DET
ap-1414	219	3	other	other	ADJ
ap-1414	219	4	hand	hand	NOUN
ap-1414	219	5	,	,	PUNCT
ap-1414	219	6	the	the	DET
ap-1414	219	7	differences	difference	NOUN
ap-1414	219	8	between	between	ADP
ap-1414	219	9	ccm	ccm	NOUN
ap-1414	219	10	and	and	CCONJ
ap-1414	219	11	mfqm	mfqm	NOUN
ap-1414	219	12	are	be	AUX
ap-1414	219	13	at	at	ADV
ap-1414	219	14	least	least	ADJ
ap-1414	219	15	as	as	ADV
ap-1414	219	16	important	important	ADJ
ap-1414	219	17	as	as	ADP
ap-1414	219	18	the	the	DET
ap-1414	219	19	similarities	similarity	NOUN
ap-1414	219	20	.	.	PUNCT
ap-1414	220	1	in	in	ADP
ap-1414	220	2	particular	particular	ADJ
ap-1414	220	3	,	,	PUNCT
ap-1414	220	4	the	the	DET
ap-1414	220	5	boundedness	boundedness	NOUN
ap-1414	220	6	of	of	ADP
ap-1414	220	7	the	the	DET
ap-1414	220	8	energy	energy	NOUN
ap-1414	220	9	surfaces	surface	NOUN
ap-1414	220	10	of	of	ADP
ap-1414	220	11	the	the	DET
ap-1414	220	12	latter	latter	ADJ
ap-1414	220	13	(	(	PUNCT
ap-1414	220	14	in	in	ADP
ap-1414	220	15	comparison	comparison	NOUN
ap-1414	220	16	to	to	ADP
ap-1414	220	17	the	the	DET
ap-1414	220	18	unbounded	unbounded	ADJ
ap-1414	220	19	nature	nature	NOUN
ap-1414	220	20	of	of	ADP
ap-1414	220	21	those	those	PRON
ap-1414	220	22	of	of	ADP
ap-1414	220	23	the	the	DET
ap-1414	220	24	former	former	ADJ
ap-1414	220	25	)	)	PUNCT
ap-1414	220	26	mean	mean	VERB
ap-1414	220	27	that	that	SCONJ
ap-1414	220	28	the	the	DET
ap-1414	220	29	trajectories	trajectory	NOUN
ap-1414	220	30	are	be	AUX
ap-1414	220	31	very	very	ADV
ap-1414	220	32	different	different	ADJ
ap-1414	220	33	,	,	PUNCT
ap-1414	220	34	even	even	ADV
ap-1414	220	35	though	though	SCONJ
ap-1414	220	36	each	each	PRON
ap-1414	220	37	permits	permit	VERB
ap-1414	220	38	tunnelling	tunnel	VERB
ap-1414	220	39	without	without	ADP
ap-1414	220	40	instantons	instanton	NOUN
ap-1414	220	41	and	and	CCONJ
ap-1414	220	42	we	we	PRON
ap-1414	220	43	know	know	VERB
ap-1414	220	44	that	that	SCONJ
ap-1414	220	45	,	,	PUNCT
ap-1414	220	46	in	in	ADP
ap-1414	220	47	many	many	ADJ
ap-1414	220	48	circumstances	circumstance	NOUN
ap-1414	220	49	,	,	PUNCT
ap-1414	220	50	mfqm	mfqm	NOUN
ap-1414	220	51	gives	give	VERB
ap-1414	220	52	a	a	DET
ap-1414	220	53	reliable	reliable	ADJ
ap-1414	220	54	description	description	NOUN
ap-1414	220	55	of	of	ADP
ap-1414	220	56	quantum	quantum	ADJ
ap-1414	220	57	mechanical	mechanical	ADJ
ap-1414	220	58	particles	particle	NOUN
ap-1414	220	59	.	.	PUNCT
ap-1414	221	1	in	in	ADP
ap-1414	221	2	particular	particular	ADJ
ap-1414	221	3	,	,	PUNCT
ap-1414	221	4	for	for	ADP
ap-1414	221	5	mfqm	mfqm	NOUN
ap-1414	221	6	quantum	quantum	ADJ
ap-1414	221	7	superposition	superposition	NOUN
ap-1414	221	8	is	be	AUX
ap-1414	221	9	a	a	DET
ap-1414	221	10	necessary	necessary	ADJ
ap-1414	221	11	ingredient	ingredient	NOUN
ap-1414	221	12	,	,	PUNCT
ap-1414	221	13	whereas	whereas	SCONJ
ap-1414	221	14	(	(	PUNCT
ap-1414	221	15	for	for	ADP
ap-1414	221	16	real	real	ADJ
ap-1414	221	17	phase	phase	NOUN
ap-1414	221	18	space	space	NOUN
ap-1414	221	19	at	at	ADP
ap-1414	221	20	least	least	ADJ
ap-1414	221	21	)	)	PUNCT
ap-1414	221	22	superposition	superposition	NOUN
ap-1414	221	23	plays	play	VERB
ap-1414	221	24	no	no	DET
ap-1414	221	25	role	role	NOUN
ap-1414	221	26	in	in	ADP
ap-1414	221	27	the	the	DET
ap-1414	221	28	path	path	NOUN
ap-1414	221	29	integrals	integral	NOUN
ap-1414	221	30	of	of	ADP
ap-1414	221	31	classical	classical	ADJ
ap-1414	221	32	mechanics	mechanic	NOUN
ap-1414	221	33	.	.	PUNCT
ap-1414	222	1	much	much	ADJ
ap-1414	222	2	of	of	ADP
ap-1414	222	3	the	the	DET
ap-1414	222	4	original	original	ADJ
ap-1414	222	5	work	work	NOUN
ap-1414	222	6	on	on	ADP
ap-1414	222	7	ccm	ccm	PROPN
ap-1414	222	8	was	be	AUX
ap-1414	222	9	concerned	concern	VERB
ap-1414	222	10	with	with	ADP
ap-1414	222	11	comparing	compare	VERB
ap-1414	222	12	its	its	PRON
ap-1414	222	13	results	result	NOUN
ap-1414	222	14	to	to	ADP
ap-1414	222	15	quantum	quantum	ADJ
ap-1414	222	16	mechanics	mechanic	NOUN
ap-1414	222	17	in	in	ADP
ap-1414	222	18	the	the	DET
ap-1414	222	19	real	real	ADJ
ap-1414	222	20	plane	plane	NOUN
ap-1414	222	21	,	,	PUNCT
ap-1414	223	1	e.g.	e.g.	ADV
ap-1414	223	2	[	[	X
ap-1414	223	3	3	3	NUM
ap-1414	223	4	]	]	PUNCT
ap-1414	223	5	.	.	PUNCT
ap-1414	224	1	as	as	ADP
ap-1414	224	2	an	an	DET
ap-1414	224	3	alternative	alternative	NOUN
ap-1414	224	4	,	,	PUNCT
ap-1414	224	5	we	we	PRON
ap-1414	224	6	have	have	AUX
ap-1414	224	7	raised	raise	VERB
ap-1414	224	8	the	the	DET
ap-1414	224	9	possibility	possibility	NOUN
ap-1414	224	10	of	of	ADP
ap-1414	224	11	looking	look	VERB
ap-1414	224	12	for	for	ADP
ap-1414	224	13	supersymmetric	supersymmetric	ADJ
ap-1414	224	14	realisations	realisation	NOUN
ap-1414	224	15	of	of	ADP
ap-1414	224	16	ccm	ccm	PROPN
ap-1414	224	17	,	,	PUNCT
ap-1414	224	18	with	with	ADP
ap-1414	224	19	the	the	DET
ap-1414	224	20	potential	potential	NOUN
ap-1414	224	21	of	of	ADP
ap-1414	224	22	getting	get	VERB
ap-1414	224	23	quantum	quantum	ADJ
ap-1414	224	24	mechanics	mechanic	NOUN
ap-1414	224	25	in	in	ADP
ap-1414	224	26	complex	complex	ADJ
ap-1414	224	27	phase	phase	NOUN
ap-1414	224	28	space	space	NOUN
ap-1414	224	29	.	.	PUNCT
ap-1414	225	1	this	this	PRON
ap-1414	225	2	will	will	AUX
ap-1414	225	3	be	be	AUX
ap-1414	225	4	pursued	pursue	VERB
ap-1414	225	5	elsewhere	elsewhere	ADV
ap-1414	225	6	.	.	PUNCT
ap-1414	226	1	88	88	NUM
ap-1414	226	2	acta	acta	PROPN
ap-1414	226	3	polytechnica	polytechnica	PROPN
ap-1414	226	4	vol	vol	NOUN
ap-1414	226	5	.	.	PUNCT
ap-1414	227	1	51	51	NUM
ap-1414	227	2	no	no	INTJ
ap-1414	227	3	.	.	PUNCT
ap-1414	228	1	4/2011	4/2011	NUM
ap-1414	228	2	acknowledgement	acknowledgement	NOUN
ap-1414	228	3	we	we	PRON
ap-1414	228	4	acknowledge	acknowledge	VERB
ap-1414	228	5	stimulating	stimulate	VERB
ap-1414	228	6	discussions	discussion	NOUN
ap-1414	228	7	with	with	ADP
ap-1414	228	8	ennio	ennio	PROPN
ap-1414	228	9	gozzi	gozzi	PROPN
ap-1414	228	10	and	and	CCONJ
ap-1414	228	11	thank	thank	VERB
ap-1414	228	12	him	he	PRON
ap-1414	228	13	for	for	ADP
ap-1414	228	14	access	access	NOUN
ap-1414	228	15	to	to	ADP
ap-1414	228	16	unpublished	unpublished	ADJ
ap-1414	228	17	notes	note	NOUN
ap-1414	228	18	on	on	ADP
ap-1414	228	19	‘	'	PUNCT
ap-1414	228	20	tunnelling	tunnel	VERB
ap-1414	228	21	without	without	ADP
ap-1414	228	22	instantons	instanton	NOUN
ap-1414	228	23	’	'	PUNCT
ap-1414	228	24	(	(	PUNCT
ap-1414	228	25	december	december	PROPN
ap-1414	228	26	,	,	PUNCT
ap-1414	228	27	1995	1995	NUM
ap-1414	228	28	)	)	PUNCT
ap-1414	228	29	.	.	PUNCT
ap-1414	229	1	we	we	PRON
ap-1414	229	2	also	also	ADV
ap-1414	229	3	thank	thank	VERB
ap-1414	229	4	daniel	daniel	PROPN
ap-1414	229	5	hook	hook	NOUN
ap-1414	229	6	for	for	ADP
ap-1414	229	7	empirically	empirically	ADV
ap-1414	229	8	demonstrating	demonstrate	VERB
ap-1414	229	9	the	the	DET
ap-1414	229	10	nature	nature	NOUN
ap-1414	229	11	of	of	ADP
ap-1414	229	12	‘	'	PUNCT
ap-1414	229	13	tunnelling	tunnelling	NOUN
ap-1414	229	14	’	'	PUNCT
ap-1414	229	15	paths	path	NOUN
ap-1414	229	16	in	in	ADP
ap-1414	229	17	mfqm	mfqm	NOUN
ap-1414	229	18	.	.	PUNCT
ap-1414	230	1	references	reference	NOUN
ap-1414	230	2	[	[	X
ap-1414	230	3	1	1	NUM
ap-1414	230	4	]	]	X
ap-1414	230	5	bender	bender	NOUN
ap-1414	230	6	,	,	PUNCT
ap-1414	230	7	c.	c.	PROPN
ap-1414	230	8	m.	m.	PROPN
ap-1414	230	9	,	,	PUNCT
ap-1414	230	10	brody	brody	PROPN
ap-1414	230	11	,	,	PUNCT
ap-1414	230	12	d.	d.	PROPN
ap-1414	230	13	j.	j.	PROPN
ap-1414	230	14	,	,	PUNCT
ap-1414	230	15	hook	hook	NOUN
ap-1414	230	16	,	,	PUNCT
ap-1414	230	17	d.	d.	PROPN
ap-1414	230	18	w.	w.	PROPN
ap-1414	230	19	:	:	PUNCT
ap-1414	230	20	quantum	quantum	NOUN
ap-1414	230	21	effects	effect	NOUN
ap-1414	230	22	in	in	ADP
ap-1414	230	23	classical	classical	ADJ
ap-1414	230	24	systems	system	NOUN
ap-1414	230	25	having	have	VERB
ap-1414	230	26	complex	complex	ADJ
ap-1414	230	27	energy	energy	NOUN
ap-1414	230	28	,	,	PUNCT
ap-1414	230	29	j.	j.	PROPN
ap-1414	230	30	phys	phys	PROPN
ap-1414	230	31	.	.	PUNCT
ap-1414	231	1	a	a	DET
ap-1414	231	2	41	41	NUM
ap-1414	231	3	(	(	PUNCT
ap-1414	231	4	2008	2008	NUM
ap-1414	231	5	)	)	PUNCT
ap-1414	231	6	,	,	PUNCT
ap-1414	231	7	352	352	NUM
ap-1414	231	8	003	003	NUM
ap-1414	231	9	.	.	PUNCT
ap-1414	232	1	[	[	X
ap-1414	232	2	2	2	NUM
ap-1414	232	3	]	]	X
ap-1414	232	4	bender	bender	NOUN
ap-1414	232	5	,	,	PUNCT
ap-1414	232	6	c.	c.	PROPN
ap-1414	232	7	m.	m.	NOUN
ap-1414	232	8	,	,	PUNCT
ap-1414	232	9	hook	hook	NOUN
ap-1414	232	10	,	,	PUNCT
ap-1414	232	11	d.	d.	PROPN
ap-1414	232	12	w.	w.	PROPN
ap-1414	232	13	,	,	PUNCT
ap-1414	232	14	meisinger	meisinger	NOUN
ap-1414	232	15	,	,	PUNCT
ap-1414	232	16	p.	p.	PROPN
ap-1414	232	17	n.	n.	PROPN
ap-1414	232	18	,	,	PUNCT
ap-1414	232	19	wang	wang	PROPN
ap-1414	232	20	,	,	PUNCT
ap-1414	232	21	q.-h	q.-h	PROPN
ap-1414	232	22	.	.	PUNCT
ap-1414	232	23	:	:	PUNCT
ap-1414	233	1	complex	complex	ADJ
ap-1414	233	2	correspondence	correspondence	NOUN
ap-1414	233	3	principle	principle	NOUN
ap-1414	233	4	,	,	PUNCT
ap-1414	233	5	phys	phy	NOUN
ap-1414	233	6	.	.	PUNCT
ap-1414	234	1	rev	rev	PROPN
ap-1414	234	2	.	.	PROPN
ap-1414	234	3	lett	lett	PROPN
ap-1414	234	4	.	.	PUNCT
ap-1414	235	1	104	104	NUM
ap-1414	235	2	(	(	PUNCT
ap-1414	235	3	2010	2010	NUM
ap-1414	235	4	)	)	PUNCT
ap-1414	235	5	,	,	PUNCT
ap-1414	235	6	061	061	NUM
ap-1414	235	7	601	601	NUM
ap-1414	235	8	.	.	PUNCT
ap-1414	236	1	[	[	X
ap-1414	236	2	3	3	NUM
ap-1414	236	3	]	]	X
ap-1414	236	4	bender	bender	NOUN
ap-1414	236	5	,	,	PUNCT
ap-1414	236	6	c.	c.	PROPN
ap-1414	236	7	m.	m.	NOUN
ap-1414	236	8	,	,	PUNCT
ap-1414	236	9	hook	hook	NOUN
ap-1414	236	10	,	,	PUNCT
ap-1414	236	11	d.	d.	PROPN
ap-1414	236	12	w.	w.	PROPN
ap-1414	236	13	:	:	PUNCT
ap-1414	236	14	tunneling	tunnel	VERB
ap-1414	236	15	in	in	ADP
ap-1414	236	16	classical	classical	ADJ
ap-1414	236	17	mechanics	mechanic	NOUN
ap-1414	236	18	.	.	PUNCT
ap-1414	237	1	[	[	X
ap-1414	237	2	4	4	NUM
ap-1414	237	3	]	]	X
ap-1414	237	4	feynman	feynman	PROPN
ap-1414	237	5	,	,	PUNCT
ap-1414	237	6	r.	r.	PROPN
ap-1414	237	7	,	,	PUNCT
ap-1414	237	8	vernon	vernon	PROPN
ap-1414	237	9	,	,	PUNCT
ap-1414	237	10	f.	f.	PROPN
ap-1414	237	11	:	:	PUNCT
ap-1414	237	12	ann	ann	PROPN
ap-1414	237	13	.	.	PUNCT
ap-1414	237	14	phys	phys	PROPN
ap-1414	237	15	.	.	PUNCT
ap-1414	238	1	(	(	PUNCT
ap-1414	238	2	n.	n.	PROPN
ap-1414	238	3	y.	y.	PROPN
ap-1414	238	4	)	)	PUNCT
ap-1414	238	5	24	24	NUM
ap-1414	238	6	(	(	PUNCT
ap-1414	238	7	1963	1963	NUM
ap-1414	238	8	)	)	PUNCT
ap-1414	238	9	,	,	PUNCT
ap-1414	238	10	118	118	NUM
ap-1414	238	11	.	.	PUNCT
ap-1414	239	1	[	[	X
ap-1414	239	2	5	5	NUM
ap-1414	239	3	]	]	X
ap-1414	239	4	lombardo	lombardo	PROPN
ap-1414	239	5	,	,	PUNCT
ap-1414	239	6	f.	f.	PROPN
ap-1414	239	7	c.	c.	PROPN
ap-1414	239	8	,	,	PUNCT
ap-1414	239	9	mazzitelli	mazzitelli	PROPN
ap-1414	239	10	,	,	PUNCT
ap-1414	239	11	f.	f.	PROPN
ap-1414	239	12	d.	d.	PROPN
ap-1414	239	13	,	,	PUNCT
ap-1414	239	14	rivers	river	NOUN
ap-1414	239	15	,	,	PUNCT
ap-1414	239	16	r.	r.	PROPN
ap-1414	239	17	j.	j.	PROPN
ap-1414	239	18	:	:	PUNCT
ap-1414	239	19	classical	classical	ADJ
ap-1414	239	20	behaviour	behaviour	NOUN
ap-1414	239	21	after	after	ADP
ap-1414	239	22	a	a	DET
ap-1414	239	23	phase	phase	NOUN
ap-1414	239	24	transition	transition	NOUN
ap-1414	239	25	,	,	PUNCT
ap-1414	239	26	phys	phy	NOUN
ap-1414	239	27	.	.	PUNCT
ap-1414	240	1	lett	lett	PROPN
ap-1414	240	2	.	.	PUNCT
ap-1414	241	1	b	b	ADP
ap-1414	241	2	523	523	NUM
ap-1414	241	3	(	(	PUNCT
ap-1414	241	4	2001	2001	NUM
ap-1414	241	5	)	)	PUNCT
ap-1414	241	6	,	,	PUNCT
ap-1414	241	7	317	317	NUM
ap-1414	241	8	.	.	PUNCT
ap-1414	242	1	[	[	X
ap-1414	242	2	6	6	NUM
ap-1414	242	3	]	]	X
ap-1414	242	4	lombardo	lombardo	PROPN
ap-1414	242	5	,	,	PUNCT
ap-1414	242	6	f.	f.	PROPN
ap-1414	242	7	c.	c.	PROPN
ap-1414	242	8	,	,	PUNCT
ap-1414	242	9	rivers	river	NOUN
ap-1414	242	10	,	,	PUNCT
ap-1414	242	11	r.	r.	PROPN
ap-1414	242	12	j.	j.	PROPN
ap-1414	242	13	,	,	PUNCT
ap-1414	242	14	villar	villar	PROPN
ap-1414	242	15	,	,	PUNCT
ap-1414	242	16	p.	p.	NOUN
ap-1414	242	17	i.	i.	NOUN
ap-1414	242	18	:	:	PUNCT
ap-1414	242	19	decoherence	decoherence	NOUN
ap-1414	242	20	of	of	ADP
ap-1414	242	21	domains	domain	NOUN
ap-1414	242	22	and	and	CCONJ
ap-1414	242	23	defects	defect	NOUN
ap-1414	242	24	at	at	ADP
ap-1414	242	25	phase	phase	NOUN
ap-1414	242	26	transitions	transition	NOUN
ap-1414	242	27	,	,	PUNCT
ap-1414	242	28	phys	phy	NOUN
ap-1414	242	29	.	.	PUNCT
ap-1414	243	1	lett	lett	PROPN
ap-1414	243	2	.	.	PUNCT
ap-1414	244	1	b	b	X
ap-1414	244	2	648	648	NUM
ap-1414	244	3	(	(	PUNCT
ap-1414	244	4	2007	2007	NUM
ap-1414	244	5	)	)	PUNCT
ap-1414	244	6	,	,	PUNCT
ap-1414	244	7	64	64	NUM
ap-1414	244	8	.	.	PUNCT
ap-1414	245	1	[	[	X
ap-1414	245	2	7	7	NUM
ap-1414	245	3	]	]	X
ap-1414	245	4	bender	bender	NOUN
ap-1414	245	5	,	,	PUNCT
ap-1414	245	6	c.	c.	PROPN
ap-1414	245	7	m.	m.	PROPN
ap-1414	245	8	,	,	PUNCT
ap-1414	245	9	boettcher	boettcher	PROPN
ap-1414	245	10	,	,	PUNCT
ap-1414	245	11	s.	s.	PROPN
ap-1414	245	12	:	:	PUNCT
ap-1414	245	13	real	real	ADJ
ap-1414	245	14	spectra	spectra	NOUN
ap-1414	245	15	in	in	ADP
ap-1414	245	16	non	non	ADJ
ap-1414	245	17	-	-	ADJ
ap-1414	245	18	hermitian	hermitian	ADJ
ap-1414	245	19	hamiltonians	hamiltonian	NOUN
ap-1414	245	20	having	have	VERB
ap-1414	245	21	pt	pt	PROPN
ap-1414	245	22	symmetry	symmetry	NOUN
ap-1414	245	23	,	,	PUNCT
ap-1414	245	24	phys	phy	NOUN
ap-1414	245	25	.	.	PUNCT
ap-1414	246	1	rev	rev	PROPN
ap-1414	246	2	.	.	PROPN
ap-1414	246	3	lett	lett	PROPN
ap-1414	246	4	.	.	PROPN
ap-1414	247	1	80	80	NUM
ap-1414	247	2	(	(	PUNCT
ap-1414	247	3	1998	1998	NUM
ap-1414	247	4	)	)	PUNCT
ap-1414	247	5	,	,	PUNCT
ap-1414	247	6	5	5	NUM
ap-1414	247	7	243	243	NUM
ap-1414	247	8	.	.	PUNCT
ap-1414	248	1	[	[	X
ap-1414	248	2	8	8	NUM
ap-1414	248	3	]	]	X
ap-1414	248	4	bender	bender	NOUN
ap-1414	248	5	,	,	PUNCT
ap-1414	248	6	c.	c.	PROPN
ap-1414	248	7	m.	m.	NOUN
ap-1414	248	8	:	:	PUNCT
ap-1414	248	9	introduction	introduction	NOUN
ap-1414	248	10	to	to	ADP
ap-1414	248	11	pt	pt	ADJ
ap-1414	248	12	-	-	PUNCT
ap-1414	248	13	symmetric	symmetric	ADJ
ap-1414	248	14	quantum	quantum	NOUN
ap-1414	248	15	theory	theory	NOUN
ap-1414	248	16	,	,	PUNCT
ap-1414	248	17	contemp	contemp	NOUN
ap-1414	248	18	.	.	PUNCT
ap-1414	249	1	phys	phy	NOUN
ap-1414	249	2	.	.	PUNCT
ap-1414	250	1	46	46	NUM
ap-1414	250	2	(	(	PUNCT
ap-1414	250	3	2005	2005	NUM
ap-1414	250	4	)	)	PUNCT
ap-1414	250	5	,	,	PUNCT
ap-1414	250	6	277	277	NUM
ap-1414	250	7	.	.	PUNCT
ap-1414	251	1	[	[	X
ap-1414	251	2	9	9	NUM
ap-1414	251	3	]	]	X
ap-1414	251	4	bender	bender	NOUN
ap-1414	251	5	,	,	PUNCT
ap-1414	251	6	c.	c.	PROPN
ap-1414	251	7	m.	m.	NOUN
ap-1414	251	8	:	:	PUNCT
ap-1414	251	9	making	make	VERB
ap-1414	251	10	sense	sense	NOUN
ap-1414	251	11	of	of	ADP
ap-1414	251	12	non	non	ADJ
ap-1414	251	13	-	-	ADJ
ap-1414	251	14	hermitian	hermitian	ADJ
ap-1414	251	15	hamiltonians	hamiltonian	NOUN
ap-1414	251	16	,	,	PUNCT
ap-1414	251	17	rept	rept	NOUN
ap-1414	251	18	.	.	PUNCT
ap-1414	252	1	prog	prog	NOUN
ap-1414	252	2	.	.	PUNCT
ap-1414	253	1	phys	phy	NOUN
ap-1414	253	2	.	.	PUNCT
ap-1414	254	1	70	70	NUM
ap-1414	254	2	(	(	PUNCT
ap-1414	254	3	2007	2007	NUM
ap-1414	254	4	)	)	PUNCT
ap-1414	254	5	,	,	PUNCT
ap-1414	254	6	947	947	NUM
ap-1414	254	7	.	.	PUNCT
ap-1414	255	1	[	[	X
ap-1414	255	2	10	10	NUM
ap-1414	255	3	]	]	X
ap-1414	255	4	gozzi	gozzi	NOUN
ap-1414	255	5	,	,	PUNCT
ap-1414	255	6	e.	e.	PROPN
ap-1414	255	7	,	,	PUNCT
ap-1414	255	8	reuter	reuter	PROPN
ap-1414	255	9	,	,	PUNCT
ap-1414	255	10	m.	m.	NOUN
ap-1414	255	11	,	,	PUNCT
ap-1414	255	12	thacker	thacker	PROPN
ap-1414	255	13	,	,	PUNCT
ap-1414	255	14	w.	w.	PROPN
ap-1414	255	15	d.	d.	PROPN
ap-1414	255	16	:	:	PUNCT
ap-1414	255	17	hidden	hide	VERB
ap-1414	255	18	brs	brs	NOUN
ap-1414	255	19	invariance	invariance	NOUN
ap-1414	255	20	in	in	ADP
ap-1414	255	21	classical	classical	ADJ
ap-1414	255	22	mechanics	mechanic	NOUN
ap-1414	255	23	.	.	PUNCT
ap-1414	255	24	ii	ii	PROPN
ap-1414	255	25	,	,	PUNCT
ap-1414	255	26	phys	phy	NOUN
ap-1414	255	27	.	.	PUNCT
ap-1414	256	1	rev	rev	PROPN
ap-1414	256	2	.	.	PUNCT
ap-1414	257	1	d	d	X
ap-1414	257	2	40	40	NUM
ap-1414	257	3	(	(	PUNCT
ap-1414	257	4	1989	1989	NUM
ap-1414	257	5	)	)	PUNCT
ap-1414	257	6	,	,	PUNCT
ap-1414	257	7	3	3	NUM
ap-1414	257	8	363	363	NUM
ap-1414	257	9	.	.	PUNCT
ap-1414	258	1	[	[	X
ap-1414	258	2	11	11	NUM
ap-1414	258	3	]	]	X
ap-1414	258	4	gozzi	gozzi	NOUN
ap-1414	258	5	,	,	PUNCT
ap-1414	258	6	e.	e.	PROPN
ap-1414	258	7	,	,	PUNCT
ap-1414	258	8	reuter	reuter	PROPN
ap-1414	258	9	,	,	PUNCT
ap-1414	258	10	m.	m.	NOUN
ap-1414	258	11	,	,	PUNCT
ap-1414	258	12	thacker	thacker	PROPN
ap-1414	258	13	,	,	PUNCT
ap-1414	258	14	w.	w.	PROPN
ap-1414	258	15	d.	d.	PROPN
ap-1414	258	16	:	:	PUNCT
ap-1414	258	17	symmetries	symmetry	NOUN
ap-1414	258	18	of	of	ADP
ap-1414	258	19	the	the	DET
ap-1414	258	20	classical	classical	ADJ
ap-1414	258	21	path	path	NOUN
ap-1414	258	22	integral	integral	ADJ
ap-1414	258	23	on	on	ADP
ap-1414	258	24	a	a	DET
ap-1414	258	25	generalized	generalized	ADJ
ap-1414	258	26	phase	phase	NOUN
ap-1414	258	27	-	-	PUNCT
ap-1414	258	28	space	space	NOUN
ap-1414	258	29	manifold	manifold	NOUN
ap-1414	258	30	,	,	PUNCT
ap-1414	258	31	phys	phy	NOUN
ap-1414	258	32	.	.	PUNCT
ap-1414	259	1	rev	rev	PROPN
ap-1414	259	2	.	.	PUNCT
ap-1414	260	1	d	d	X
ap-1414	260	2	46	46	NUM
ap-1414	260	3	(	(	PUNCT
ap-1414	260	4	1992	1992	NUM
ap-1414	260	5	)	)	PUNCT
ap-1414	260	6	,	,	PUNCT
ap-1414	260	7	757	757	PROPN
ap-1414	260	8	.	.	PUNCT
ap-1414	261	1	[	[	X
ap-1414	261	2	12	12	NUM
ap-1414	261	3	]	]	X
ap-1414	261	4	gozzi	gozzi	NOUN
ap-1414	261	5	,	,	PUNCT
ap-1414	261	6	e.	e.	PROPN
ap-1414	261	7	,	,	PUNCT
ap-1414	261	8	reuter	reuter	PROPN
ap-1414	261	9	,	,	PUNCT
ap-1414	261	10	m.	m.	NOUN
ap-1414	261	11	:	:	PUNCT
ap-1414	261	12	classical	classical	ADJ
ap-1414	261	13	mechanics	mechanic	NOUN
ap-1414	261	14	as	as	ADP
ap-1414	261	15	a	a	DET
ap-1414	261	16	topological	topological	ADJ
ap-1414	261	17	field	field	NOUN
ap-1414	261	18	theory	theory	NOUN
ap-1414	261	19	,	,	PUNCT
ap-1414	261	20	phys	phy	NOUN
ap-1414	261	21	.	.	PUNCT
ap-1414	262	1	lett	lett	PROPN
ap-1414	262	2	.	.	PUNCT
ap-1414	263	1	b	b	X
ap-1414	263	2	240	240	NUM
ap-1414	263	3	(	(	PUNCT
ap-1414	263	4	1990	1990	NUM
ap-1414	263	5	)	)	PUNCT
ap-1414	263	6	,	,	PUNCT
ap-1414	263	7	137	137	NUM
ap-1414	263	8	.	.	PUNCT
ap-1414	264	1	[	[	X
ap-1414	264	2	13	13	NUM
ap-1414	264	3	]	]	X
ap-1414	264	4	marinov	marinov	NOUN
ap-1414	264	5	,	,	PUNCT
ap-1414	264	6	m.	m.	NOUN
ap-1414	264	7	s.	s.	PROPN
ap-1414	264	8	:	:	PUNCT
ap-1414	264	9	a	a	DET
ap-1414	264	10	new	new	ADJ
ap-1414	264	11	type	type	NOUN
ap-1414	264	12	of	of	ADP
ap-1414	264	13	phase	phase	NOUN
ap-1414	264	14	-	-	PUNCT
ap-1414	264	15	space	space	NOUN
ap-1414	264	16	path	path	NOUN
ap-1414	264	17	integral	integral	ADJ
ap-1414	264	18	,	,	PUNCT
ap-1414	264	19	phys	phy	NOUN
ap-1414	264	20	.	.	PUNCT
ap-1414	265	1	lett	lett	PROPN
ap-1414	265	2	.	.	PUNCT
ap-1414	266	1	a	a	DET
ap-1414	266	2	153	153	NUM
ap-1414	266	3	(	(	PUNCT
ap-1414	266	4	1991	1991	NUM
ap-1414	266	5	)	)	PUNCT
ap-1414	266	6	,	,	PUNCT
ap-1414	266	7	5	5	X
ap-1414	266	8	.	.	PUNCT
ap-1414	267	1	[	[	X
ap-1414	267	2	14	14	NUM
ap-1414	267	3	]	]	X
ap-1414	267	4	gozzi	gozzi	NOUN
ap-1414	267	5	,	,	PUNCT
ap-1414	267	6	e.	e.	PROPN
ap-1414	267	7	,	,	PUNCT
ap-1414	267	8	reuter	reuter	PROPN
ap-1414	267	9	,	,	PUNCT
ap-1414	267	10	m.	m.	NOUN
ap-1414	267	11	:	:	PUNCT
ap-1414	267	12	quantum	quantum	NOUN
ap-1414	267	13	-	-	PUNCT
ap-1414	267	14	deformed	deform	VERB
ap-1414	267	15	geometry	geometry	NOUN
ap-1414	267	16	on	on	ADP
ap-1414	267	17	phase	phase	NOUN
ap-1414	267	18	-	-	PUNCT
ap-1414	267	19	space	space	NOUN
ap-1414	267	20	,	,	PUNCT
ap-1414	267	21	mod	mod	PROPN
ap-1414	267	22	.	.	PUNCT
ap-1414	268	1	phys	phys	PROPN
ap-1414	268	2	.	.	PUNCT
ap-1414	269	1	lett	lett	PROPN
ap-1414	269	2	.	.	PUNCT
ap-1414	270	1	a	a	DET
ap-1414	270	2	8	8	NUM
ap-1414	270	3	(	(	PUNCT
ap-1414	270	4	1993	1993	NUM
ap-1414	270	5	)	)	PUNCT
ap-1414	270	6	,	,	PUNCT
ap-1414	270	7	1	1	NUM
ap-1414	270	8	433	433	NUM
ap-1414	270	9	.	.	PUNCT
ap-1414	271	1	[	[	X
ap-1414	271	2	15	15	NUM
ap-1414	271	3	]	]	X
ap-1414	271	4	gozzi	gozzi	NOUN
ap-1414	271	5	,	,	PUNCT
ap-1414	271	6	e.	e.	PROPN
ap-1414	271	7	,	,	PUNCT
ap-1414	271	8	reuter	reuter	PROPN
ap-1414	271	9	,	,	PUNCT
ap-1414	271	10	m.	m.	NOUN
ap-1414	271	11	:	:	PUNCT
ap-1414	271	12	a	a	DET
ap-1414	271	13	proposal	proposal	NOUN
ap-1414	271	14	for	for	ADP
ap-1414	271	15	a	a	DET
ap-1414	271	16	differential	differential	ADJ
ap-1414	271	17	calculus	calculus	NOUN
ap-1414	271	18	in	in	ADP
ap-1414	271	19	quantum	quantum	ADJ
ap-1414	271	20	mechanics	mechanic	NOUN
ap-1414	271	21	,	,	PUNCT
ap-1414	271	22	int	int	NOUN
ap-1414	271	23	.	.	PUNCT
ap-1414	272	1	jour	jour	AUX
ap-1414	272	2	.	.	PUNCT
ap-1414	272	3	mod	mod	PROPN
ap-1414	272	4	.	.	PUNCT
ap-1414	273	1	phys	phys	PROPN
ap-1414	273	2	.	.	PUNCT
ap-1414	274	1	a	a	DET
ap-1414	274	2	9	9	NUM
ap-1414	274	3	(	(	PUNCT
ap-1414	274	4	1994	1994	NUM
ap-1414	274	5	)	)	PUNCT
ap-1414	274	6	,	,	PUNCT
ap-1414	274	7	2191	2191	NUM
ap-1414	274	8	.	.	PUNCT
ap-1414	275	1	[	[	X
ap-1414	275	2	16	16	NUM
ap-1414	275	3	]	]	X
ap-1414	275	4	gutzwiller	gutzwiller	NOUN
ap-1414	275	5	,	,	PUNCT
ap-1414	275	6	m.	m.	NOUN
ap-1414	275	7	c.	c.	PROPN
ap-1414	275	8	:	:	PUNCT
ap-1414	275	9	chaos	chaos	NOUN
ap-1414	275	10	in	in	ADP
ap-1414	275	11	classical	classical	ADJ
ap-1414	275	12	and	and	CCONJ
ap-1414	275	13	quantum	quantum	ADJ
ap-1414	275	14	mechanics	mechanic	NOUN
ap-1414	275	15	.	.	PUNCT
ap-1414	276	1	new	new	PROPN
ap-1414	276	2	york	york	PROPN
ap-1414	276	3	:	:	PUNCT
ap-1414	276	4	springerverlag	springerverlag	PROPN
ap-1414	276	5	,	,	PUNCT
ap-1414	276	6	1990	1990	NUM
ap-1414	276	7	.	.	PUNCT
ap-1414	277	1	[	[	X
ap-1414	277	2	17	17	NUM
ap-1414	277	3	]	]	PUNCT
ap-1414	277	4	dittrich	dittrich	NOUN
ap-1414	277	5	,	,	PUNCT
ap-1414	277	6	t.	t.	PROPN
ap-1414	277	7	,	,	PUNCT
ap-1414	277	8	gomez	gomez	PROPN
ap-1414	277	9	,	,	PUNCT
ap-1414	277	10	e.	e.	PROPN
ap-1414	277	11	a.	a.	PROPN
ap-1414	277	12	,	,	PUNCT
ap-1414	277	13	pachon	pachon	PROPN
ap-1414	277	14	,	,	PUNCT
ap-1414	277	15	l.	l.	PROPN
ap-1414	277	16	a.	a.	PROPN
ap-1414	277	17	:	:	PUNCT
ap-1414	277	18	semiclassical	semiclassical	ADJ
ap-1414	277	19	propagation	propagation	NOUN
ap-1414	277	20	of	of	ADP
ap-1414	277	21	wigner	wigner	NOUN
ap-1414	277	22	functions	function	NOUN
ap-1414	277	23	,	,	PUNCT
ap-1414	277	24	j.	j.	PROPN
ap-1414	277	25	chem	chem	PROPN
ap-1414	277	26	.	.	PUNCT
ap-1414	278	1	phys	phy	NOUN
ap-1414	278	2	.	.	PUNCT
ap-1414	279	1	132	132	NUM
ap-1414	279	2	(	(	PUNCT
ap-1414	279	3	2010	2010	NUM
ap-1414	279	4	)	)	PUNCT
ap-1414	279	5	,	,	PUNCT
ap-1414	279	6	214	214	NUM
ap-1414	279	7	102	102	NUM
ap-1414	279	8	.	.	PUNCT
ap-1414	280	1	[	[	X
ap-1414	280	2	18	18	NUM
ap-1414	280	3	]	]	X
ap-1414	280	4	smilga	smilga	ADJ
ap-1414	280	5	,	,	PUNCT
ap-1414	280	6	a.	a.	NOUN
ap-1414	280	7	v.	v.	PROPN
ap-1414	280	8	:	:	PUNCT
ap-1414	280	9	cryptogauge	cryptogauge	ADJ
ap-1414	280	10	symmetry	symmetry	NOUN
ap-1414	280	11	and	and	CCONJ
ap-1414	280	12	cryptoghosts	cryptoghost	NOUN
ap-1414	280	13	for	for	ADP
ap-1414	280	14	crypto	crypto	ADJ
ap-1414	280	15	-	-	ADJ
ap-1414	280	16	hermitian	hermitian	ADJ
ap-1414	280	17	hamiltonians	hamiltonian	NOUN
ap-1414	280	18	,	,	PUNCT
ap-1414	280	19	j.	j.	PROPN
ap-1414	280	20	phys	phys	PROPN
ap-1414	280	21	.	.	PUNCT
ap-1414	281	1	a	a	DET
ap-1414	281	2	41	41	NUM
ap-1414	281	3	(	(	PUNCT
ap-1414	281	4	2008	2008	NUM
ap-1414	281	5	)	)	PUNCT
ap-1414	281	6	,	,	PUNCT
ap-1414	281	7	244	244	NUM
ap-1414	281	8	026	026	NUM
ap-1414	281	9	.	.	PUNCT
ap-1414	282	1	[	[	X
ap-1414	282	2	19	19	NUM
ap-1414	282	3	]	]	X
ap-1414	282	4	koopman	koopman	PROPN
ap-1414	282	5	,	,	PUNCT
ap-1414	282	6	b.	b.	PROPN
ap-1414	282	7	o.	o.	PROPN
ap-1414	282	8	:	:	PUNCT
ap-1414	282	9	hamiltonian	hamiltonian	ADJ
ap-1414	282	10	systems	system	NOUN
ap-1414	282	11	and	and	CCONJ
ap-1414	282	12	transformations	transformation	NOUN
ap-1414	282	13	in	in	ADP
ap-1414	282	14	hilbert	hilbert	NOUN
ap-1414	282	15	space	space	NOUN
ap-1414	282	16	,	,	PUNCT
ap-1414	282	17	proc	proc	NOUN
ap-1414	282	18	.	.	PUNCT
ap-1414	283	1	natl	natl	PROPN
ap-1414	283	2	.	.	PUNCT
ap-1414	284	1	acad	acad	PROPN
ap-1414	284	2	.	.	PUNCT
ap-1414	285	1	sci	sci	PROPN
ap-1414	285	2	.	.	PROPN
ap-1414	285	3	usa	usa	PROPN
ap-1414	285	4	17	17	NUM
ap-1414	285	5	(	(	PUNCT
ap-1414	285	6	1931	1931	NUM
ap-1414	285	7	)	)	PUNCT
ap-1414	285	8	,	,	PUNCT
ap-1414	285	9	315	315	NUM
ap-1414	285	10	.	.	PUNCT
ap-1414	286	1	[	[	X
ap-1414	286	2	20	20	NUM
ap-1414	286	3	]	]	X
ap-1414	286	4	von	von	PROPN
ap-1414	286	5	neumann	neumann	PROPN
ap-1414	286	6	,	,	PUNCT
ap-1414	286	7	j.	j.	PROPN
ap-1414	286	8	:	:	PUNCT
ap-1414	286	9	zur	zur	INTJ
ap-1414	286	10	operatorenmethode	operatorenmethode	ADJ
ap-1414	286	11	in	in	ADP
ap-1414	286	12	der	der	PROPN
ap-1414	286	13	klassischen	klassischen	PROPN
ap-1414	286	14	mechanik	mechanik	PROPN
ap-1414	286	15	,	,	PUNCT
ap-1414	286	16	ann	ann	PROPN
ap-1414	286	17	.	.	PROPN
ap-1414	286	18	math	math	PROPN
ap-1414	286	19	.	.	PUNCT
ap-1414	287	1	33	33	NUM
ap-1414	287	2	(	(	PUNCT
ap-1414	287	3	1932	1932	NUM
ap-1414	287	4	)	)	PUNCT
ap-1414	287	5	,	,	PUNCT
ap-1414	287	6	587	587	NUM
ap-1414	287	7	;	;	PUNCT
ap-1414	287	8	ibid	ibid	NOUN
ap-1414	287	9	.	.	PUNCT
ap-1414	288	1	33	33	NUM
ap-1414	288	2	(	(	PUNCT
ap-1414	288	3	1932	1932	NUM
ap-1414	288	4	)	)	PUNCT
ap-1414	288	5	,	,	PUNCT
ap-1414	288	6	789	789	NUM
ap-1414	288	7	.	.	PUNCT
ap-1414	289	1	[	[	X
ap-1414	289	2	21	21	NUM
ap-1414	289	3	]	]	X
ap-1414	289	4	deotto	deotto	PROPN
ap-1414	289	5	,	,	PUNCT
ap-1414	289	6	e.	e.	PROPN
ap-1414	289	7	,	,	PUNCT
ap-1414	289	8	gozzi	gozzi	PROPN
ap-1414	289	9	,	,	PUNCT
ap-1414	289	10	e.	e.	PROPN
ap-1414	289	11	,	,	PUNCT
ap-1414	289	12	mauro	mauro	PROPN
ap-1414	289	13	,	,	PUNCT
ap-1414	289	14	d.	d.	PROPN
ap-1414	289	15	:	:	PUNCT
ap-1414	289	16	hilbert	hilbert	NOUN
ap-1414	289	17	space	space	NOUN
ap-1414	289	18	structure	structure	NOUN
ap-1414	289	19	in	in	ADP
ap-1414	289	20	classical	classical	ADJ
ap-1414	289	21	mechanics	mechanic	NOUN
ap-1414	289	22	:	:	PUNCT
ap-1414	289	23	(	(	PUNCT
ap-1414	289	24	ii	ii	NOUN
ap-1414	289	25	)	)	PUNCT
ap-1414	289	26	,	,	PUNCT
ap-1414	289	27	j.	j.	PROPN
ap-1414	289	28	math	math	PROPN
ap-1414	289	29	.	.	PUNCT
ap-1414	290	1	phys	phy	NOUN
ap-1414	290	2	.	.	PUNCT
ap-1414	291	1	44	44	NUM
ap-1414	291	2	(	(	PUNCT
ap-1414	291	3	2003	2003	NUM
ap-1414	291	4	)	)	PUNCT
ap-1414	291	5	,	,	PUNCT
ap-1414	291	6	5	5	NUM
ap-1414	291	7	902	902	NUM
ap-1414	291	8	.	.	PUNCT
ap-1414	292	1	[	[	X
ap-1414	292	2	22	22	NUM
ap-1414	292	3	]	]	X
ap-1414	292	4	gozzi	gozzi	NOUN
ap-1414	292	5	,	,	PUNCT
ap-1414	292	6	e.	e.	PROPN
ap-1414	292	7	,	,	PUNCT
ap-1414	292	8	pagani	pagani	PROPN
ap-1414	292	9	,	,	PUNCT
ap-1414	292	10	c.	c.	NOUN
ap-1414	292	11	:	:	PUNCT
ap-1414	292	12	universal	universal	ADJ
ap-1414	292	13	local	local	ADJ
ap-1414	292	14	symmetries	symmetry	NOUN
ap-1414	292	15	and	and	CCONJ
ap-1414	292	16	non	non	ADJ
ap-1414	292	17	-	-	NOUN
ap-1414	292	18	superposition	superposition	NOUN
ap-1414	292	19	in	in	ADP
ap-1414	292	20	classical	classical	ADJ
ap-1414	292	21	mechanics	mechanic	NOUN
ap-1414	292	22	,	,	PUNCT
ap-1414	292	23	phys	phy	NOUN
ap-1414	292	24	.	.	PUNCT
ap-1414	293	1	rev	rev	PROPN
ap-1414	293	2	.	.	PROPN
ap-1414	293	3	lett	lett	PROPN
ap-1414	293	4	.	.	PUNCT
ap-1414	294	1	105	105	NUM
ap-1414	294	2	(	(	PUNCT
ap-1414	294	3	2010	2010	NUM
ap-1414	294	4	)	)	PUNCT
ap-1414	294	5	,	,	PUNCT
ap-1414	294	6	150	150	NUM
ap-1414	294	7	604	604	NUM
ap-1414	294	8	.	.	PUNCT
ap-1414	295	1	[	[	X
ap-1414	295	2	23	23	NUM
ap-1414	295	3	]	]	X
ap-1414	295	4	balazs	balazs	PROPN
ap-1414	295	5	,	,	PUNCT
ap-1414	295	6	n.	n.	PROPN
ap-1414	295	7	l.	l.	PROPN
ap-1414	295	8	,	,	PUNCT
ap-1414	295	9	voros	voro	NOUN
ap-1414	295	10	,	,	PUNCT
ap-1414	295	11	a.	a.	NOUN
ap-1414	295	12	:	:	PUNCT
ap-1414	295	13	wigner	wigner	NOUN
ap-1414	295	14	’s	’s	PART
ap-1414	295	15	function	function	NOUN
ap-1414	295	16	and	and	CCONJ
ap-1414	295	17	tunneling	tunneling	NOUN
ap-1414	295	18	,	,	PUNCT
ap-1414	295	19	ann	ann	PROPN
ap-1414	295	20	.	.	PUNCT
ap-1414	296	1	phys	phys	PROPN
ap-1414	296	2	.	.	PUNCT
ap-1414	297	1	199	199	NUM
ap-1414	297	2	(	(	PUNCT
ap-1414	297	3	1990	1990	NUM
ap-1414	297	4	)	)	PUNCT
ap-1414	297	5	,	,	PUNCT
ap-1414	297	6	123	123	NUM
ap-1414	297	7	.	.	PUNCT
ap-1414	298	1	[	[	X
ap-1414	298	2	24	24	NUM
ap-1414	298	3	]	]	PUNCT
ap-1414	298	4	abrikosov	abrikosov	NOUN
ap-1414	298	5	,	,	PUNCT
ap-1414	298	6	a.	a.	NOUN
ap-1414	298	7	a.	a.	PROPN
ap-1414	298	8	(	(	PUNCT
ap-1414	298	9	jr	jr	PROPN
ap-1414	298	10	.	.	PROPN
ap-1414	298	11	)	)	PUNCT
ap-1414	298	12	,	,	PUNCT
ap-1414	298	13	gozzi	gozzi	PROPN
ap-1414	298	14	,	,	PUNCT
ap-1414	298	15	e.	e.	PROPN
ap-1414	298	16	,	,	PUNCT
ap-1414	298	17	mauro	mauro	PROPN
ap-1414	298	18	,	,	PUNCT
ap-1414	298	19	d.	d.	NOUN
ap-1414	298	20	:	:	PUNCT
ap-1414	298	21	geometric	geometric	ADJ
ap-1414	298	22	dequantization	dequantization	NOUN
ap-1414	298	23	,	,	PUNCT
ap-1414	298	24	ann	ann	PROPN
ap-1414	298	25	.	.	PUNCT
ap-1414	299	1	phys	phys	PROPN
ap-1414	299	2	.	.	PUNCT
ap-1414	300	1	317	317	NUM
ap-1414	300	2	(	(	PUNCT
ap-1414	300	3	2005	2005	NUM
ap-1414	300	4	)	)	PUNCT
ap-1414	300	5	,	,	PUNCT
ap-1414	300	6	24	24	NUM
ap-1414	300	7	.	.	PUNCT
ap-1414	301	1	[	[	X
ap-1414	301	2	25	25	NUM
ap-1414	301	3	]	]	X
ap-1414	301	4	blasone	blasone	NOUN
ap-1414	301	5	,	,	PUNCT
ap-1414	301	6	m.	m.	NOUN
ap-1414	301	7	,	,	PUNCT
ap-1414	301	8	jizba	jizba	PROPN
ap-1414	301	9	,	,	PUNCT
ap-1414	301	10	p.	p.	PROPN
ap-1414	301	11	,	,	PUNCT
ap-1414	301	12	kleinert	kleinert	PROPN
ap-1414	301	13	,	,	PUNCT
ap-1414	301	14	h.	h.	PROPN
ap-1414	301	15	:	:	PUNCT
ap-1414	301	16	path	path	NOUN
ap-1414	301	17	integral	integral	ADJ
ap-1414	301	18	approach	approach	NOUN
ap-1414	301	19	to	to	ADP
ap-1414	301	20	‘	'	PUNCT
ap-1414	301	21	t	t	PROPN
ap-1414	301	22	hooft	hooft	PROPN
ap-1414	301	23	’s	’s	PART
ap-1414	301	24	derivation	derivation	NOUN
ap-1414	301	25	of	of	ADP
ap-1414	301	26	quantum	quantum	NOUN
ap-1414	301	27	from	from	ADP
ap-1414	301	28	classical	classical	ADJ
ap-1414	301	29	physics	physic	NOUN
ap-1414	301	30	,	,	PUNCT
ap-1414	301	31	phys	phy	NOUN
ap-1414	301	32	.	.	PUNCT
ap-1414	302	1	rev	rev	PROPN
ap-1414	302	2	.	.	PUNCT
ap-1414	303	1	a	a	DET
ap-1414	303	2	71	71	NUM
ap-1414	303	3	(	(	PUNCT
ap-1414	303	4	2005	2005	NUM
ap-1414	303	5	)	)	PUNCT
ap-1414	303	6	,	,	PUNCT
ap-1414	303	7	052	052	NUM
ap-1414	303	8	507	507	NUM
ap-1414	303	9	.	.	PUNCT
ap-1414	304	1	[	[	X
ap-1414	304	2	26	26	NUM
ap-1414	304	3	]	]	PUNCT
ap-1414	304	4	‘	'	PUNCT
ap-1414	304	5	t	t	PROPN
ap-1414	304	6	hooft	hooft	NOUN
ap-1414	304	7	,	,	PUNCT
ap-1414	304	8	g.	g.	NOUN
ap-1414	304	9	:	:	PUNCT
ap-1414	304	10	quantum	quantum	ADJ
ap-1414	304	11	mechanical	mechanical	ADJ
ap-1414	304	12	behaviour	behaviour	NOUN
ap-1414	304	13	in	in	ADP
ap-1414	304	14	a	a	DET
ap-1414	304	15	deterministic	deterministic	ADJ
ap-1414	304	16	model	model	NOUN
ap-1414	304	17	,	,	PUNCT
ap-1414	304	18	quant	quant	NOUN
ap-1414	304	19	.	.	PUNCT
ap-1414	305	1	grav	grav	PROPN
ap-1414	305	2	.	.	PROPN
ap-1414	306	1	13	13	NUM
ap-1414	306	2	(	(	PUNCT
ap-1414	306	3	1996	1996	NUM
ap-1414	306	4	)	)	PUNCT
ap-1414	306	5	,	,	PUNCT
ap-1414	306	6	1	1	NUM
ap-1414	306	7	023	023	NUM
ap-1414	306	8	.	.	PUNCT
ap-1414	307	1	[	[	X
ap-1414	307	2	27	27	NUM
ap-1414	307	3	]	]	PUNCT
ap-1414	307	4	‘	'	PUNCT
ap-1414	307	5	t	t	PROPN
ap-1414	307	6	hooft	hooft	NOUN
ap-1414	307	7	,	,	PUNCT
ap-1414	307	8	g.	g.	NOUN
ap-1414	307	9	:	:	PUNCT
ap-1414	307	10	quantum	quantum	NOUN
ap-1414	307	11	gravity	gravity	NOUN
ap-1414	307	12	as	as	ADP
ap-1414	307	13	a	a	DET
ap-1414	307	14	dissipative	dissipative	ADJ
ap-1414	307	15	deterministic	deterministic	ADJ
ap-1414	307	16	system	system	NOUN
ap-1414	307	17	,	,	PUNCT
ap-1414	307	18	quant	quant	NOUN
ap-1414	307	19	.	.	PUNCT
ap-1414	308	1	grav	grav	PROPN
ap-1414	308	2	.	.	PUNCT
ap-1414	309	1	16	16	NUM
ap-1414	309	2	(	(	PUNCT
ap-1414	309	3	1999	1999	NUM
ap-1414	309	4	)	)	PUNCT
ap-1414	309	5	,	,	PUNCT
ap-1414	309	6	3	3	NUM
ap-1414	309	7	263	263	NUM
ap-1414	309	8	.	.	PUNCT
ap-1414	310	1	[	[	X
ap-1414	310	2	28	28	NUM
ap-1414	310	3	]	]	X
ap-1414	310	4	bender	bender	NOUN
ap-1414	310	5	,	,	PUNCT
ap-1414	310	6	c.	c.	PROPN
ap-1414	310	7	m.	m.	NOUN
ap-1414	310	8	,	,	PUNCT
ap-1414	310	9	hook	hook	NOUN
ap-1414	310	10	,	,	PUNCT
ap-1414	310	11	d.	d.	PROPN
ap-1414	310	12	w.	w.	PROPN
ap-1414	310	13	,	,	PUNCT
ap-1414	310	14	meisinger	meisinger	NOUN
ap-1414	310	15	,	,	PUNCT
ap-1414	310	16	p.	p.	PROPN
ap-1414	310	17	n.	n.	PROPN
ap-1414	310	18	,	,	PUNCT
ap-1414	310	19	wang	wang	PROPN
ap-1414	310	20	,	,	PUNCT
ap-1414	310	21	q.-h	q.-h	PROPN
ap-1414	310	22	.	.	PUNCT
ap-1414	310	23	:	:	PUNCT
ap-1414	311	1	probability	probability	NOUN
ap-1414	311	2	density	density	NOUN
ap-1414	311	3	in	in	ADP
ap-1414	311	4	the	the	DET
ap-1414	311	5	complex	complex	ADJ
ap-1414	311	6	plane	plane	NOUN
ap-1414	311	7	,	,	PUNCT
ap-1414	311	8	ann	ann	PROPN
ap-1414	311	9	.	.	PUNCT
ap-1414	312	1	phys	phys	PROPN
ap-1414	312	2	.	.	PUNCT
ap-1414	313	1	325	325	NUM
ap-1414	313	2	(	(	PUNCT
ap-1414	313	3	2010	2010	NUM
ap-1414	313	4	)	)	PUNCT
ap-1414	313	5	,	,	PUNCT
ap-1414	313	6	2	2	NUM
ap-1414	313	7	332	332	NUM
ap-1414	313	8	.	.	PUNCT
ap-1414	314	1	r.	r.	PROPN
ap-1414	314	2	j.	j.	PROPN
ap-1414	314	3	rivers	rivers	PROPN
ap-1414	314	4	e	e	PROPN
ap-1414	314	5	-	-	NOUN
ap-1414	314	6	mail	mail	NOUN
ap-1414	314	7	:	:	PUNCT
ap-1414	314	8	r.rivers@imperial.ac.uk	r.rivers@imperial.ac.uk	PROPN
ap-1414	314	9	physics	physics	PROPN
ap-1414	314	10	department	department	PROPN
ap-1414	314	11	imperial	imperial	PROPN
ap-1414	314	12	college	college	PROPN
ap-1414	314	13	london	london	PROPN
ap-1414	314	14	london	london	PROPN
ap-1414	314	15	sw7	sw7	PROPN
ap-1414	314	16	2az	2az	PROPN
ap-1414	314	17	,	,	PUNCT
ap-1414	314	18	uk	uk	PROPN
ap-1414	314	19	89	89	NUM