id	sid	tid	token	lemma	pos
ap-1201	1	1	ap-3-10.dvi	ap-3-10.dvi	PROPN
ap-1201	1	2	acta	acta	PROPN
ap-1201	1	3	polytechnica	polytechnica	PROPN
ap-1201	1	4	vol	vol	NOUN
ap-1201	1	5	.	.	PROPN
ap-1201	2	1	50	50	NUM
ap-1201	2	2	no	no	NOUN
ap-1201	2	3	.	.	PUNCT
ap-1201	3	1	3/2010	3/2010	NUM
ap-1201	3	2	on	on	ADP
ap-1201	3	3	global	global	ADJ
ap-1201	3	4	and	and	CCONJ
ap-1201	3	5	nonlinear	nonlinear	ADJ
ap-1201	3	6	symmetries	symmetry	NOUN
ap-1201	3	7	in	in	ADP
ap-1201	3	8	quantum	quantum	ADJ
ap-1201	3	9	mechanics	mechanic	NOUN
ap-1201	3	10	h.-d	h.-d	PROPN
ap-1201	3	11	.	.	PUNCT
ap-1201	4	1	doebner	doebner	PROPN
ap-1201	4	2	1	1	NUM
ap-1201	4	3	prolog	prolog	NOUN
ap-1201	4	4	i	i	PRON
ap-1201	4	5	first	first	ADV
ap-1201	4	6	met	meet	VERB
ap-1201	4	7	jiri	jiri	PROPN
ap-1201	4	8	niederle	niederle	ADP
ap-1201	4	9	around	around	ADV
ap-1201	4	10	40	40	NUM
ap-1201	4	11	years	year	NOUN
ap-1201	4	12	ago	ago	ADV
ap-1201	4	13	in	in	ADP
ap-1201	4	14	the	the	DET
ap-1201	4	15	international	international	ADJ
ap-1201	4	16	centre	centre	NOUN
ap-1201	4	17	for	for	ADP
ap-1201	4	18	theoretical	theoretical	ADJ
ap-1201	4	19	physics	physics	NOUN
ap-1201	4	20	at	at	ADP
ap-1201	4	21	trieste	trieste	PROPN
ap-1201	4	22	.	.	PUNCT
ap-1201	5	1	during	during	ADP
ap-1201	5	2	this	this	DET
ap-1201	5	3	time	time	NOUN
ap-1201	5	4	the	the	DET
ap-1201	5	5	centre	centre	NOUN
ap-1201	5	6	was	be	AUX
ap-1201	5	7	located	locate	VERB
ap-1201	5	8	in	in	ADP
ap-1201	5	9	a	a	DET
ap-1201	5	10	modern	modern	ADJ
ap-1201	5	11	building	building	NOUN
ap-1201	5	12	at	at	ADP
ap-1201	5	13	piazza	piazza	NOUN
ap-1201	5	14	oberdan	oberdan	PROPN
ap-1201	5	15	,	,	PUNCT
ap-1201	5	16	the	the	DET
ap-1201	5	17	director	director	NOUN
ap-1201	5	18	was	be	AUX
ap-1201	5	19	abdus	abdus	NOUN
ap-1201	5	20	salam	salam	PROPN
ap-1201	5	21	and	and	CCONJ
ap-1201	5	22	his	his	PRON
ap-1201	5	23	deputy	deputy	NOUN
ap-1201	5	24	was	be	AUX
ap-1201	5	25	paolo	paolo	PROPN
ap-1201	5	26	budini	budini	NOUN
ap-1201	5	27	.	.	PUNCT
ap-1201	6	1	jiri	jiri	PROPN
ap-1201	6	2	and	and	CCONJ
ap-1201	6	3	i	i	PRON
ap-1201	6	4	were	be	AUX
ap-1201	6	5	fellows	fellow	NOUN
ap-1201	6	6	in	in	ADP
ap-1201	6	7	a	a	DET
ap-1201	6	8	group	group	NOUN
ap-1201	6	9	under	under	ADP
ap-1201	6	10	the	the	DET
ap-1201	6	11	indirect	indirect	ADJ
ap-1201	6	12	guidance	guidance	NOUN
ap-1201	6	13	of	of	ADP
ap-1201	6	14	asim	asim	PROPN
ap-1201	6	15	barut	barut	NOUN
ap-1201	6	16	and	and	CCONJ
ap-1201	6	17	chris	chris	PROPN
ap-1201	6	18	fronsdal	fronsdal	NOUN
ap-1201	6	19	.	.	PUNCT
ap-1201	7	1	i	i	PRON
ap-1201	7	2	remember	remember	VERB
ap-1201	7	3	some	some	DET
ap-1201	7	4	our	our	PRON
ap-1201	7	5	colleagues	colleague	NOUN
ap-1201	7	6	in	in	ADP
ap-1201	7	7	this	this	DET
ap-1201	7	8	group	group	NOUN
ap-1201	7	9	:	:	PUNCT
ap-1201	7	10	arno	arno	PROPN
ap-1201	7	11	bohm	bohm	PROPN
ap-1201	7	12	,	,	PUNCT
ap-1201	7	13	richard	richard	PROPN
ap-1201	7	14	raczka	raczka	PROPN
ap-1201	7	15	,	,	PUNCT
ap-1201	7	16	moshe	moshe	PROPN
ap-1201	7	17	flato	flato	PROPN
ap-1201	7	18	.	.	PUNCT
ap-1201	8	1	it	it	PRON
ap-1201	8	2	was	be	AUX
ap-1201	8	3	the	the	DET
ap-1201	8	4	period	period	NOUN
ap-1201	8	5	in	in	ADP
ap-1201	8	6	which	which	PRON
ap-1201	8	7	abdus	abdus	PROPN
ap-1201	8	8	asked	ask	VERB
ap-1201	8	9	the	the	DET
ap-1201	8	10	scientist	scientist	NOUN
ap-1201	8	11	in	in	ADP
ap-1201	8	12	the	the	DET
ap-1201	8	13	centre	centre	NOUN
ap-1201	8	14	‘	'	PUNCT
ap-1201	8	15	to	to	PART
ap-1201	8	16	push	push	VERB
ap-1201	8	17	forward	forward	ADV
ap-1201	8	18	the	the	DET
ap-1201	8	19	frontiers	frontier	NOUN
ap-1201	8	20	of	of	ADP
ap-1201	8	21	knowledge	knowledge	NOUN
ap-1201	8	22	’	'	PUNCT
ap-1201	8	23	,	,	PUNCT
ap-1201	8	24	especially	especially	ADV
ap-1201	8	25	in	in	ADP
ap-1201	8	26	particle	particle	NOUN
ap-1201	8	27	physics	physics	NOUN
ap-1201	8	28	through	through	ADP
ap-1201	8	29	models	model	NOUN
ap-1201	8	30	based	base	VERB
ap-1201	8	31	on	on	ADP
ap-1201	8	32	group	group	NOUN
ap-1201	8	33	theory	theory	NOUN
ap-1201	8	34	;	;	PUNCT
ap-1201	8	35	ũ(12	ũ(12	NUM
ap-1201	8	36	)	)	PUNCT
ap-1201	8	37	was	be	AUX
ap-1201	8	38	fashionable	fashionable	ADJ
ap-1201	8	39	in	in	ADP
ap-1201	8	40	these	these	DET
ap-1201	8	41	times	time	NOUN
ap-1201	8	42	.	.	PUNCT
ap-1201	9	1	some	some	PRON
ap-1201	9	2	of	of	ADP
ap-1201	9	3	us	we	PRON
ap-1201	9	4	expected	expect	VERB
ap-1201	9	5	a	a	DET
ap-1201	9	6	description	description	NOUN
ap-1201	9	7	of	of	ADP
ap-1201	9	8	the	the	DET
ap-1201	9	9	geometrical	geometrical	ADJ
ap-1201	9	10	structure	structure	NOUN
ap-1201	9	11	behind	behind	ADP
ap-1201	9	12	fundamental	fundamental	ADJ
ap-1201	9	13	quantum	quantum	ADJ
ap-1201	9	14	physics	physics	NOUN
ap-1201	9	15	through	through	ADP
ap-1201	9	16	groups	group	NOUN
ap-1201	9	17	,	,	PUNCT
ap-1201	9	18	their	their	PRON
ap-1201	9	19	lie	lie	NOUN
ap-1201	9	20	algebras	algebra	NOUN
ap-1201	9	21	and	and	CCONJ
ap-1201	9	22	their	their	PRON
ap-1201	9	23	representations	representation	NOUN
ap-1201	9	24	to	to	PART
ap-1201	9	25	be	be	AUX
ap-1201	9	26	too	too	ADV
ap-1201	9	27	narrow	narrow	ADJ
ap-1201	9	28	and	and	CCONJ
ap-1201	9	29	not	not	PART
ap-1201	9	30	flexible	flexible	ADJ
ap-1201	9	31	enough	enough	ADV
ap-1201	9	32	to	to	PART
ap-1201	9	33	model	model	VERB
ap-1201	9	34	real	real	ADJ
ap-1201	9	35	physical	physical	ADJ
ap-1201	9	36	classical	classical	ADJ
ap-1201	9	37	and	and	CCONJ
ap-1201	9	38	quantum	quantum	NOUN
ap-1201	9	39	systems	system	NOUN
ap-1201	9	40	:	:	PUNCT
ap-1201	9	41	if	if	SCONJ
ap-1201	9	42	the	the	DET
ap-1201	9	43	group	group	NOUN
ap-1201	9	44	and	and	CCONJ
ap-1201	9	45	their	their	PRON
ap-1201	9	46	linear	linear	ADJ
ap-1201	9	47	representation	representation	NOUN
ap-1201	9	48	are	be	AUX
ap-1201	9	49	chosen	choose	VERB
ap-1201	9	50	,	,	PUNCT
ap-1201	9	51	there	there	PRON
ap-1201	9	52	is	be	VERB
ap-1201	9	53	not	not	PART
ap-1201	9	54	enough	enough	ADJ
ap-1201	9	55	freedom	freedom	NOUN
ap-1201	9	56	to	to	PART
ap-1201	9	57	accommodate	accommodate	VERB
ap-1201	9	58	their	their	PRON
ap-1201	9	59	characteristic	characteristic	ADJ
ap-1201	9	60	properties	property	NOUN
ap-1201	9	61	.	.	PUNCT
ap-1201	10	1	hence	hence	ADV
ap-1201	10	2	,	,	PUNCT
ap-1201	10	3	we	we	PRON
ap-1201	10	4	were	be	AUX
ap-1201	10	5	interested	interested	ADJ
ap-1201	10	6	to	to	PART
ap-1201	10	7	apply	apply	VERB
ap-1201	10	8	a	a	DET
ap-1201	10	9	framework	framework	NOUN
ap-1201	10	10	which	which	PRON
ap-1201	10	11	is	be	AUX
ap-1201	10	12	beyond	beyond	ADP
ap-1201	10	13	groups	group	NOUN
ap-1201	10	14	.	.	PUNCT
ap-1201	11	1	we	we	PRON
ap-1201	11	2	tried	try	VERB
ap-1201	11	3	e.g.	e.g.	ADV
ap-1201	11	4	nonlinear	nonlinear	ADJ
ap-1201	11	5	and	and	CCONJ
ap-1201	11	6	nonintegrable	nonintegrable	ADJ
ap-1201	11	7	lie	lie	NOUN
ap-1201	11	8	-	-	PUNCT
ap-1201	11	9	algebra	algebra	NOUN
ap-1201	11	10	representations	representation	NOUN
ap-1201	11	11	,	,	PUNCT
ap-1201	11	12	nonseparable	nonseparable	ADJ
ap-1201	11	13	hilbert	hilbert	NOUN
ap-1201	11	14	spaces	space	NOUN
ap-1201	11	15	and	and	CCONJ
ap-1201	11	16	lie	lie	VERB
ap-1201	11	17	algebras	algebra	NOUN
ap-1201	11	18	over	over	ADP
ap-1201	11	19	unusual	unusual	ADJ
ap-1201	11	20	number	number	NOUN
ap-1201	11	21	fields	field	NOUN
ap-1201	11	22	;	;	PUNCT
ap-1201	11	23	we	we	PRON
ap-1201	11	24	studied	study	VERB
ap-1201	11	25	differential	differential	ADJ
ap-1201	11	26	geometric	geometric	ADJ
ap-1201	11	27	methods	method	NOUN
ap-1201	11	28	which	which	PRON
ap-1201	11	29	reflect	reflect	VERB
ap-1201	11	30	local	local	ADJ
ap-1201	11	31	as	as	ADV
ap-1201	11	32	well	well	ADV
ap-1201	11	33	as	as	ADP
ap-1201	11	34	global	global	ADJ
ap-1201	11	35	geometrical	geometrical	ADJ
ap-1201	11	36	,	,	PUNCT
ap-1201	11	37	algebraic	algebraic	ADJ
ap-1201	11	38	,	,	PUNCT
ap-1201	11	39	analytic	analytic	ADJ
ap-1201	11	40	and	and	CCONJ
ap-1201	11	41	symmetry	symmetry	NOUN
ap-1201	11	42	properties	property	NOUN
ap-1201	11	43	which	which	PRON
ap-1201	11	44	are	be	AUX
ap-1201	11	45	more	more	ADV
ap-1201	11	46	general	general	ADJ
ap-1201	11	47	compared	compare	VERB
ap-1201	11	48	with	with	ADP
ap-1201	11	49	group	group	NOUN
ap-1201	11	50	theory	theory	NOUN
ap-1201	11	51	.	.	PUNCT
ap-1201	12	1	jiri	jiri	PROPN
ap-1201	12	2	niederle	niederle	PROPN
ap-1201	12	3	and	and	CCONJ
ap-1201	12	4	jouko	jouko	PROPN
ap-1201	12	5	mickelsson	mickelsson	PROPN
ap-1201	12	6	were	be	AUX
ap-1201	12	7	interested	interested	ADJ
ap-1201	12	8	in	in	ADP
ap-1201	12	9	the	the	DET
ap-1201	12	10	construction	construction	NOUN
ap-1201	12	11	of	of	ADP
ap-1201	12	12	nonlinear	nonlinear	ADJ
ap-1201	12	13	representations	representation	NOUN
ap-1201	12	14	,	,	PUNCT
ap-1201	12	15	which	which	PRON
ap-1201	12	16	opens	open	VERB
ap-1201	12	17	the	the	DET
ap-1201	12	18	plethora	plethora	NOUN
ap-1201	12	19	of	of	ADP
ap-1201	12	20	unknown	unknown	ADJ
ap-1201	12	21	possibilities	possibility	NOUN
ap-1201	12	22	to	to	PART
ap-1201	12	23	model	model	VERB
ap-1201	12	24	lie	lie	NOUN
ap-1201	12	25	symmetries	symmetry	NOUN
ap-1201	12	26	of	of	ADP
ap-1201	12	27	quantum	quantum	NOUN
ap-1201	12	28	systems	system	NOUN
ap-1201	12	29	.	.	PUNCT
ap-1201	13	1	these	these	DET
ap-1201	13	2	representations	representation	NOUN
ap-1201	13	3	contain	contain	VERB
ap-1201	13	4	nonlinear	nonlinear	ADJ
ap-1201	13	5	generators	generator	NOUN
ap-1201	13	6	acting	act	VERB
ap-1201	13	7	in	in	ADP
ap-1201	13	8	a	a	DET
ap-1201	13	9	linear	linear	ADJ
ap-1201	13	10	representation	representation	NOUN
ap-1201	13	11	space	space	NOUN
ap-1201	13	12	.	.	PUNCT
ap-1201	14	1	one	one	PRON
ap-1201	14	2	has	have	VERB
ap-1201	14	3	to	to	PART
ap-1201	14	4	specify	specify	VERB
ap-1201	14	5	the	the	DET
ap-1201	14	6	type	type	NOUN
ap-1201	14	7	of	of	ADP
ap-1201	14	8	‘	'	PUNCT
ap-1201	14	9	nonlinearity	nonlinearity	NOUN
ap-1201	14	10	’	'	PUNCT
ap-1201	14	11	and	and	CCONJ
ap-1201	14	12	their	their	PRON
ap-1201	14	13	physical	physical	ADJ
ap-1201	14	14	interpretation	interpretation	NOUN
ap-1201	14	15	.	.	PUNCT
ap-1201	15	1	jiri	jiri	PROPN
ap-1201	15	2	tolar	tolar	PROPN
ap-1201	15	3	and	and	CCONJ
ap-1201	15	4	i	i	PRON
ap-1201	15	5	myself	myself	PRON
ap-1201	15	6	intended	intend	VERB
ap-1201	15	7	to	to	PART
ap-1201	15	8	model	model	VERB
ap-1201	15	9	quantum	quantum	NOUN
ap-1201	15	10	systems	system	NOUN
ap-1201	15	11	localized	localize	VERB
ap-1201	15	12	and	and	CCONJ
ap-1201	15	13	moving	move	VERB
ap-1201	15	14	on	on	ADP
ap-1201	15	15	a	a	DET
ap-1201	15	16	smooth	smooth	NOUN
ap-1201	15	17	manifoldm	manifoldm	NOUN
ap-1201	15	18	with	with	ADP
ap-1201	15	19	(	(	PUNCT
ap-1201	15	20	classical	classical	ADJ
ap-1201	15	21	)	)	PUNCT
ap-1201	15	22	position	position	NOUN
ap-1201	15	23	and	and	CCONJ
ap-1201	15	24	momentum	momentum	NOUN
ap-1201	15	25	observable	observable	ADJ
ap-1201	15	26	o	o	NOUN
ap-1201	15	27	which	which	PRON
ap-1201	15	28	span	span	VERB
ap-1201	15	29	their	their	PRON
ap-1201	15	30	kinematics	kinematic	NOUN
ap-1201	15	31	k(m	k(m	PROPN
ap-1201	15	32	)	)	PUNCT
ap-1201	15	33	through	through	ADP
ap-1201	15	34	a	a	DET
ap-1201	15	35	quantization	quantization	NOUN
ap-1201	15	36	q(m	q(m	PROPN
ap-1201	15	37	,	,	PUNCT
ap-1201	15	38	k	k	NOUN
ap-1201	15	39	)	)	PUNCT
ap-1201	15	40	of	of	ADP
ap-1201	15	41	k(m	k(m	PROPN
ap-1201	15	42	)	)	PUNCT
ap-1201	15	43	–	–	PUNCT
ap-1201	15	44	borel	borel	NOUN
ap-1201	15	45	kinematics	kinematic	NOUN
ap-1201	15	46	–	–	PUNCT
ap-1201	15	47	and	and	CCONJ
ap-1201	15	48	,	,	PUNCT
ap-1201	15	49	after	after	ADP
ap-1201	15	50	the	the	DET
ap-1201	15	51	introduction	introduction	NOUN
ap-1201	15	52	of	of	ADP
ap-1201	15	53	a	a	DET
ap-1201	15	54	time	time	NOUN
ap-1201	15	55	t	t	NOUN
ap-1201	15	56	dependence	dependence	NOUN
ap-1201	15	57	,	,	PUNCT
ap-1201	15	58	their	their	PRON
ap-1201	15	59	dynamical	dynamical	ADJ
ap-1201	15	60	properties	property	NOUN
ap-1201	15	61	–	–	PUNCT
ap-1201	15	62	borel	borel	NOUN
ap-1201	15	63	quantization	quantization	NOUN
ap-1201	15	64	–	–	PUNCT
ap-1201	15	65	through	through	ADP
ap-1201	15	66	e.g.	e.g.	ADV
ap-1201	15	67	as	as	SCONJ
ap-1201	15	68	quantum	quantum	NOUN
ap-1201	15	69	analogous	analogous	ADJ
ap-1201	15	70	to	to	ADP
ap-1201	15	71	the	the	DET
ap-1201	15	72	classical	classical	ADJ
ap-1201	15	73	case	case	NOUN
ap-1201	15	74	.	.	PUNCT
ap-1201	16	1	it	it	PRON
ap-1201	16	2	is	be	AUX
ap-1201	16	3	reasonable	reasonable	ADJ
ap-1201	16	4	to	to	PART
ap-1201	16	5	connect	connect	VERB
ap-1201	16	6	a	a	DET
ap-1201	16	7	paper	paper	NOUN
ap-1201	16	8	on	on	ADP
ap-1201	16	9	the	the	DET
ap-1201	16	10	occasion	occasion	NOUN
ap-1201	16	11	of	of	ADP
ap-1201	16	12	the	the	DET
ap-1201	16	13	70th	70th	ADJ
ap-1201	16	14	birthday	birthday	NOUN
ap-1201	16	15	of	of	ADP
ap-1201	16	16	jiri	jiri	PROPN
ap-1201	16	17	niederle	niederle	VERB
ap-1201	16	18	with	with	ADP
ap-1201	16	19	a	a	DET
ap-1201	16	20	retrospective	retrospective	ADJ
ap-1201	16	21	view	view	NOUN
ap-1201	16	22	on	on	ADP
ap-1201	16	23	both	both	PRON
ap-1201	16	24	of	of	ADP
ap-1201	16	25	our	our	PRON
ap-1201	16	26	attempts	attempt	NOUN
ap-1201	16	27	.	.	PUNCT
ap-1201	17	1	we	we	PRON
ap-1201	17	2	thought	think	VERB
ap-1201	17	3	in	in	ADP
ap-1201	17	4	trieste	trieste	NOUN
ap-1201	17	5	that	that	SCONJ
ap-1201	17	6	these	these	DET
ap-1201	17	7	ideas	idea	NOUN
ap-1201	17	8	–	–	PUNCT
ap-1201	17	9	the	the	DET
ap-1201	17	10	utilization	utilization	NOUN
ap-1201	17	11	of	of	ADP
ap-1201	17	12	nonlinear	nonlinear	ADJ
ap-1201	17	13	representations	representation	NOUN
ap-1201	17	14	and	and	CCONJ
ap-1201	17	15	the	the	DET
ap-1201	17	16	application	application	NOUN
ap-1201	17	17	of	of	ADP
ap-1201	17	18	global	global	ADJ
ap-1201	17	19	methods	method	NOUN
ap-1201	17	20	–	–	PUNCT
ap-1201	17	21	were	be	AUX
ap-1201	17	22	not	not	PART
ap-1201	17	23	directly	directly	ADV
ap-1201	17	24	related	relate	VERB
ap-1201	17	25	to	to	ADP
ap-1201	17	26	each	each	DET
ap-1201	17	27	other	other	ADJ
ap-1201	17	28	.	.	PUNCT
ap-1201	18	1	however	however	ADV
ap-1201	18	2	,	,	PUNCT
ap-1201	18	3	it	it	PRON
ap-1201	18	4	turns	turn	VERB
ap-1201	18	5	out	out	ADP
ap-1201	18	6	now	now	ADV
ap-1201	18	7	that	that	SCONJ
ap-1201	18	8	this	this	PRON
ap-1201	18	9	is	be	AUX
ap-1201	18	10	not	not	PART
ap-1201	18	11	the	the	DET
ap-1201	18	12	case	case	NOUN
ap-1201	18	13	.	.	PUNCT
ap-1201	19	1	a	a	DET
ap-1201	19	2	discussion	discussion	NOUN
ap-1201	19	3	of	of	ADP
ap-1201	19	4	these	these	DET
ap-1201	19	5	relations	relation	NOUN
ap-1201	19	6	is	be	AUX
ap-1201	19	7	the	the	DET
ap-1201	19	8	topic	topic	NOUN
ap-1201	19	9	of	of	ADP
ap-1201	19	10	my	my	PRON
ap-1201	19	11	paper	paper	NOUN
ap-1201	19	12	:	:	PUNCT
ap-1201	19	13	the	the	DET
ap-1201	19	14	global	global	ADJ
ap-1201	19	15	structure	structure	NOUN
ap-1201	19	16	of	of	ADP
ap-1201	19	17	the	the	DET
ap-1201	19	18	set	set	NOUN
ap-1201	19	19	{	{	PUNCT
ap-1201	19	20	q(m	q(m	PROPN
ap-1201	19	21	,	,	PUNCT
ap-1201	19	22	k	k	NOUN
ap-1201	19	23	)	)	PUNCT
ap-1201	19	24	}	}	PUNCT
ap-1201	19	25	of	of	ADP
ap-1201	19	26	quantizations	quantization	NOUN
ap-1201	19	27	of	of	ADP
ap-1201	19	28	the	the	DET
ap-1201	19	29	kinematics	kinematic	NOUN
ap-1201	19	30	in	in	ADP
ap-1201	19	31	a	a	DET
ap-1201	19	32	hilbert	hilbert	NOUN
ap-1201	19	33	space	space	NOUN
ap-1201	19	34	h	h	NOUN
ap-1201	19	35	is	be	AUX
ap-1201	19	36	connected	connect	VERB
ap-1201	19	37	with	with	ADP
ap-1201	19	38	a	a	DET
ap-1201	19	39	nonlinear	nonlinear	ADJ
ap-1201	19	40	representation	representation	NOUN
ap-1201	19	41	of	of	ADP
ap-1201	19	42	a	a	DET
ap-1201	19	43	matrix	matrix	NOUN
ap-1201	19	44	group	group	NOUN
ap-1201	19	45	g	g	NOUN
ap-1201	19	46	which	which	PRON
ap-1201	19	47	leads	lead	VERB
ap-1201	19	48	also	also	ADV
ap-1201	19	49	to	to	ADP
ap-1201	19	50	a	a	DET
ap-1201	19	51	quantization	quantization	NOUN
ap-1201	19	52	of	of	ADP
ap-1201	19	53	other	other	ADJ
ap-1201	19	54	observables	observable	NOUN
ap-1201	19	55	through	through	ADP
ap-1201	19	56	nonlinear	nonlinear	ADJ
ap-1201	19	57	operators	operator	NOUN
ap-1201	19	58	.	.	PUNCT
ap-1201	20	1	one	one	NUM
ap-1201	20	2	obtains	obtain	VERB
ap-1201	20	3	e.g.	e.g.	ADV
ap-1201	20	4	form	form	NOUN
ap-1201	20	5	=	=	SYM
ap-1201	20	6	r3	r3	PROPN
ap-1201	20	7	a	a	DET
ap-1201	20	8	nonlinear	nonlinear	ADJ
ap-1201	20	9	representation	representation	NOUN
ap-1201	20	10	of	of	ADP
ap-1201	20	11	the	the	DET
ap-1201	20	12	central	central	ADJ
ap-1201	20	13	extension	extension	NOUN
ap-1201	20	14	of	of	ADP
ap-1201	20	15	the	the	DET
ap-1201	20	16	inhomogeneous	inhomogeneous	ADJ
ap-1201	20	17	galilei	galilei	NOUN
ap-1201	20	18	group	group	NOUN
ap-1201	20	19	g(3	g(3	PROPN
ap-1201	20	20	)	)	PUNCT
ap-1201	20	21	and	and	CCONJ
ap-1201	20	22	furthermore	furthermore	ADV
ap-1201	20	23	nonlinear	nonlinear	ADJ
ap-1201	20	24	schrödinger	schrödinger	NOUN
ap-1201	20	25	equations	equation	NOUN
ap-1201	20	26	with	with	ADP
ap-1201	20	27	given	give	VERB
ap-1201	20	28	potentials	potential	NOUN
ap-1201	20	29	which	which	PRON
ap-1201	20	30	were	be	AUX
ap-1201	20	31	also	also	ADV
ap-1201	20	32	derived	derive	VERB
ap-1201	20	33	in	in	ADP
ap-1201	20	34	another	another	DET
ap-1201	20	35	context	context	NOUN
ap-1201	20	36	in	in	ADP
ap-1201	20	37	[	[	X
ap-1201	20	38	1	1	NUM
ap-1201	20	39	,	,	PUNCT
ap-1201	20	40	2	2	NUM
ap-1201	20	41	]	]	PUNCT
ap-1201	20	42	.	.	PUNCT
ap-1201	21	1	2	2	NUM
ap-1201	21	2	preview	preview	NOUN
ap-1201	21	3	we	we	PRON
ap-1201	21	4	consider	consider	VERB
ap-1201	21	5	scalar	scalar	ADJ
ap-1201	21	6	nonrelativistic	nonrelativistic	ADJ
ap-1201	21	7	systems	system	NOUN
ap-1201	21	8	localized	localize	VERB
ap-1201	21	9	and	and	CCONJ
ap-1201	21	10	moving	move	VERB
ap-1201	21	11	on	on	ADP
ap-1201	21	12	a	a	DET
ap-1201	21	13	smooth	smooth	ADJ
ap-1201	21	14	manifold	manifold	NOUN
ap-1201	21	15	without	without	ADP
ap-1201	21	16	internal	internal	ADJ
ap-1201	21	17	degrees	degree	NOUN
ap-1201	21	18	of	of	ADP
ap-1201	21	19	freedom	freedom	NOUN
ap-1201	21	20	and	and	CCONJ
ap-1201	21	21	external	external	ADJ
ap-1201	21	22	fields	field	NOUN
ap-1201	21	23	(	(	PUNCT
ap-1201	21	24	2	2	NUM
ap-1201	21	25	-	-	PUNCT
ap-1201	21	26	forms	form	NOUN
ap-1201	21	27	on	on	ADP
ap-1201	21	28	m	m	NOUN
ap-1201	21	29	)	)	PUNCT
ap-1201	21	30	and	and	CCONJ
ap-1201	21	31	their	their	PRON
ap-1201	21	32	quantizations	quantization	NOUN
ap-1201	21	33	(	(	PUNCT
ap-1201	21	34	quantum	quantum	NOUN
ap-1201	21	35	maps	map	NOUN
ap-1201	21	36	)	)	PUNCT
ap-1201	21	37	on	on	ADP
ap-1201	21	38	a	a	DET
ap-1201	21	39	suitable	suitable	ADJ
ap-1201	21	40	hilbert	hilbert	NOUN
ap-1201	21	41	space	space	NOUN
ap-1201	21	42	h	h	NOUN
ap-1201	21	43	:	:	PUNCT
ap-1201	21	44	the	the	DET
ap-1201	21	45	set	set	NOUN
ap-1201	21	46	of	of	ADP
ap-1201	21	47	unitary	unitary	ADJ
ap-1201	21	48	inequivalent	inequivalent	ADJ
ap-1201	21	49	quantum	quantum	NOUN
ap-1201	21	50	maps	map	NOUN
ap-1201	21	51	q	q	PROPN
ap-1201	21	52	of	of	ADP
ap-1201	21	53	systems	system	NOUN
ap-1201	21	54	on	on	ADP
ap-1201	21	55	m	m	PROPN
ap-1201	21	56	with	with	ADP
ap-1201	21	57	kinmatic	kinmatic	PROPN
ap-1201	21	58	k(m	k(m	PROPN
ap-1201	21	59	)	)	PUNCT
ap-1201	21	60	{	{	PUNCT
ap-1201	21	61	qα	qα	PROPN
ap-1201	21	62	,	,	PUNCT
ap-1201	21	63	d(m	d(m	PROPN
ap-1201	21	64	,	,	PUNCT
ap-1201	21	65	k	k	NOUN
ap-1201	21	66	)	)	PUNCT
ap-1201	21	67	}	}	PUNCT
ap-1201	21	68	is	be	AUX
ap-1201	21	69	labelled	label	VERB
ap-1201	21	70	through	through	ADP
ap-1201	21	71	two	two	NUM
ap-1201	21	72	quantum	quantum	ADJ
ap-1201	21	73	numbers	number	NOUN
ap-1201	21	74	α	α	NOUN
ap-1201	21	75	and	and	CCONJ
ap-1201	21	76	d	d	PROPN
ap-1201	21	77	which	which	PRON
ap-1201	21	78	depend	depend	VERB
ap-1201	21	79	on	on	ADP
ap-1201	21	80	topological	topological	ADJ
ap-1201	21	81	and	and	CCONJ
ap-1201	21	82	global	global	ADJ
ap-1201	21	83	properties	property	NOUN
ap-1201	21	84	of	of	ADP
ap-1201	21	85	m	m	PROPN
ap-1201	21	86	and	and	CCONJ
ap-1201	21	87	k(m	k(m	PROPN
ap-1201	21	88	)	)	PUNCT
ap-1201	22	1	[	[	X
ap-1201	22	2	3	3	NUM
ap-1201	22	3	,	,	PUNCT
ap-1201	22	4	4	4	NUM
ap-1201	22	5	]	]	PUNCT
ap-1201	22	6	,	,	PUNCT
ap-1201	22	7	for	for	SCONJ
ap-1201	22	8	reviews	review	NOUN
ap-1201	22	9	see	see	VERB
ap-1201	22	10	[	[	X
ap-1201	22	11	5	5	NUM
ap-1201	22	12	,	,	PUNCT
ap-1201	22	13	6	6	NUM
ap-1201	22	14	]	]	PUNCT
ap-1201	22	15	.	.	PUNCT
ap-1201	23	1	we	we	PRON
ap-1201	23	2	explain	explain	VERB
ap-1201	23	3	this	this	PRON
ap-1201	23	4	in	in	ADP
ap-1201	23	5	section	section	NOUN
ap-1201	23	6	3	3	NUM
ap-1201	23	7	.	.	PUNCT
ap-1201	24	1	in	in	ADP
ap-1201	24	2	the	the	DET
ap-1201	24	3	case	case	NOUN
ap-1201	24	4	m	m	NOUN
ap-1201	24	5	=	=	SYM
ap-1201	24	6	r3	r3	PROPN
ap-1201	24	7	(	(	PUNCT
ap-1201	24	8	with	with	ADP
ap-1201	24	9	trivial	trivial	ADJ
ap-1201	24	10	α	α	NOUN
ap-1201	24	11	and	and	CCONJ
ap-1201	24	12	a	a	DET
ap-1201	24	13	real	real	ADJ
ap-1201	24	14	number	number	NOUN
ap-1201	24	15	d	d	NOUN
ap-1201	24	16	)	)	PUNCT
ap-1201	24	17	,	,	PUNCT
ap-1201	24	18	presented	present	VERB
ap-1201	24	19	in	in	ADP
ap-1201	24	20	section	section	NOUN
ap-1201	24	21	4	4	NUM
ap-1201	24	22	,	,	PUNCT
ap-1201	24	23	the	the	DET
ap-1201	24	24	set	set	NOUN
ap-1201	24	25	{	{	PUNCT
ap-1201	24	26	qd(r3	qd(r3	PROPN
ap-1201	24	27	,	,	PUNCT
ap-1201	24	28	k	k	NOUN
ap-1201	24	29	)	)	PUNCT
ap-1201	24	30	}	}	PUNCT
ap-1201	24	31	is	be	AUX
ap-1201	24	32	shown	show	VERB
ap-1201	24	33	to	to	PART
ap-1201	24	34	carry	carry	VERB
ap-1201	24	35	a	a	DET
ap-1201	24	36	physically	physically	ADV
ap-1201	24	37	motivated	motivated	ADJ
ap-1201	24	38	nonlinear	nonlinear	ADJ
ap-1201	24	39	representation	representation	NOUN
ap-1201	24	40	ng	ng	PROPN
ap-1201	24	41	of	of	ADP
ap-1201	24	42	a	a	DET
ap-1201	24	43	2	2	NUM
ap-1201	24	44	×	×	NOUN
ap-1201	24	45	2	2	NUM
ap-1201	24	46	matrix	matrix	NOUN
ap-1201	24	47	group	group	NOUN
ap-1201	24	48	g	g	PROPN
ap-1201	24	49	which	which	PRON
ap-1201	24	50	act	act	VERB
ap-1201	24	51	on	on	ADP
ap-1201	24	52	a	a	DET
ap-1201	24	53	domain	domain	NOUN
ap-1201	24	54	d	d	X
ap-1201	24	55	∈	∈	PROPN
ap-1201	24	56	h	h	NOUN
ap-1201	24	57	ng	ng	PROPN
ap-1201	24	58	∈	∈	PROPN
ap-1201	24	59	n	n	PRON
ap-1201	24	60	:	:	PUNCT
ap-1201	24	61	ψ	ψ	AUX
ap-1201	24	62	−→	−→	NOUN
ap-1201	24	63	n	n	NOUN
ap-1201	24	64	[	[	X
ap-1201	24	65	ψ	ψ	X
ap-1201	24	66	]	]	X
ap-1201	24	67	.	.	PUNCT
ap-1201	25	1	(	(	PUNCT
ap-1201	25	2	1	1	X
ap-1201	25	3	)	)	PUNCT
ap-1201	25	4	this	this	PRON
ap-1201	25	5	implies	imply	VERB
ap-1201	25	6	that	that	SCONJ
ap-1201	25	7	unitary	unitary	ADJ
ap-1201	25	8	inequivalent	inequivalent	NOUN
ap-1201	25	9	quantizations	quantization	NOUN
ap-1201	25	10	in	in	ADP
ap-1201	25	11	qd(o	qd(o	NOUN
ap-1201	25	12	)	)	PUNCT
ap-1201	25	13	,	,	PUNCT
ap-1201	25	14	o	o	NOUN
ap-1201	26	1	=	=	PUNCT
ap-1201	26	2	f	f	X
ap-1201	26	3	,	,	PUNCT
ap-1201	26	4	x	x	INTJ
ap-1201	26	5	,	,	PUNCT
ap-1201	26	6	for	for	ADP
ap-1201	26	7	different	different	ADJ
ap-1201	26	8	d	d	NOUN
ap-1201	26	9	are	be	AUX
ap-1201	26	10	related	relate	VERB
ap-1201	26	11	through	through	ADP
ap-1201	26	12	tangent	tangent	NOUN
ap-1201	26	13	maps	map	NOUN
ap-1201	26	14	with	with	ADP
ap-1201	26	15	n	n	PROPN
ap-1201	26	16	(	(	PUNCT
ap-1201	26	17	see	see	VERB
ap-1201	26	18	also	also	ADV
ap-1201	26	19	[	[	X
ap-1201	26	20	4	4	NUM
ap-1201	26	21	]	]	SYM
ap-1201	26	22	)	)	PUNCT
ap-1201	27	1	d	d	NOUN
ap-1201	27	2	dε	dε	VERB
ap-1201	27	3	(	(	PUNCT
ap-1201	27	4	n	n	PRON
ap-1201	27	5	[	[	X
ap-1201	27	6	ψ	ψ	X
ap-1201	27	7	+	+	X
ap-1201	27	8	iεqd(o)ψ])ε=0	iεqd(o)ψ])ε=0	NOUN
ap-1201	27	9	=	=	SYM
ap-1201	27	10	i	i	PRON
ap-1201	27	11	qd′	qd′	INTJ
ap-1201	27	12	(	(	PUNCT
ap-1201	27	13	o	o	NOUN
ap-1201	27	14	)	)	PUNCT
ap-1201	27	15	·	·	PUNCT
ap-1201	27	16	n	n	CCONJ
ap-1201	27	17	[	[	X
ap-1201	27	18	ψ	ψ	X
ap-1201	27	19	]	]	X
ap-1201	27	20	.	.	PUNCT
ap-1201	28	1	(	(	PUNCT
ap-1201	28	2	2	2	X
ap-1201	28	3	)	)	PUNCT
ap-1201	28	4	this	this	DET
ap-1201	28	5	construction	construction	NOUN
ap-1201	28	6	leads	lead	VERB
ap-1201	28	7	also	also	ADV
ap-1201	28	8	to	to	ADP
ap-1201	28	9	nonlinear	nonlinear	ADJ
ap-1201	28	10	operators	operator	NOUN
ap-1201	28	11	from	from	ADP
ap-1201	28	12	elements	element	NOUN
ap-1201	28	13	of	of	ADP
ap-1201	28	14	order	order	NOUN
ap-1201	28	15	≥	≥	NOUN
ap-1201	28	16	2	2	NUM
ap-1201	28	17	in	in	ADP
ap-1201	28	18	esa	esa	NOUN
ap-1201	28	19	polynomials	polynomial	NOUN
ap-1201	28	20	in	in	ADP
ap-1201	28	21	q0	q0	PROPN
ap-1201	28	22	and	and	CCONJ
ap-1201	28	23	p	p	NOUN
ap-1201	28	24	0	0	PROPN
ap-1201	28	25	.	.	PUNCT
ap-1201	29	1	a	a	DET
ap-1201	29	2	lecture	lecture	NOUN
ap-1201	29	3	on	on	ADP
ap-1201	29	4	the	the	DET
ap-1201	29	5	occasion	occasion	NOUN
ap-1201	29	6	of	of	ADP
ap-1201	29	7	the	the	DET
ap-1201	29	8	70th	70th	ADJ
ap-1201	29	9	birthday	birthday	NOUN
ap-1201	29	10	of	of	ADP
ap-1201	29	11	jiri	jiri	PROPN
ap-1201	29	12	niederle	niederle	VERB
ap-1201	29	13	76	76	NUM
ap-1201	29	14	acta	acta	PROPN
ap-1201	29	15	polytechnica	polytechnica	PROPN
ap-1201	29	16	vol	vol	NOUN
ap-1201	29	17	.	.	PROPN
ap-1201	30	1	50	50	NUM
ap-1201	30	2	no	no	NOUN
ap-1201	30	3	.	.	PUNCT
ap-1201	31	1	3/2010	3/2010	NUM
ap-1201	31	2	3	3	NUM
ap-1201	31	3	borel	borel	NOUN
ap-1201	31	4	kinematic	kinematic	PROPN
ap-1201	31	5	k(m	k(m	PROPN
ap-1201	31	6	)	)	PUNCT
ap-1201	31	7	and	and	CCONJ
ap-1201	31	8	its	its	PRON
ap-1201	31	9	quantization	quantization	NOUN
ap-1201	31	10	3.1	3.1	NUM
ap-1201	31	11	k(m	k(m	NOUN
ap-1201	31	12	)	)	PUNCT
ap-1201	31	13	as	as	ADP
ap-1201	31	14	global	global	ADJ
ap-1201	31	15	kinematical	kinematical	ADJ
ap-1201	31	16	algebra	algebra	PROPN
ap-1201	31	17	our	our	PRON
ap-1201	31	18	systems	system	NOUN
ap-1201	31	19	are	be	AUX
ap-1201	31	20	localized	localize	VERB
ap-1201	31	21	and	and	CCONJ
ap-1201	31	22	moving	move	VERB
ap-1201	31	23	on	on	ADP
ap-1201	31	24	a	a	DET
ap-1201	31	25	smooth	smooth	ADJ
ap-1201	31	26	manifold	manifold	ADJ
ap-1201	31	27	m	m	NOUN
ap-1201	31	28	.	.	PUNCT
ap-1201	32	1	to	to	PART
ap-1201	32	2	model	model	VERB
ap-1201	32	3	their	their	PRON
ap-1201	32	4	localizations	localization	NOUN
ap-1201	32	5	we	we	PRON
ap-1201	32	6	consider	consider	VERB
ap-1201	32	7	a	a	DET
ap-1201	32	8	set	set	NOUN
ap-1201	32	9	of	of	ADP
ap-1201	32	10	regions	region	NOUN
ap-1201	32	11	on	on	ADP
ap-1201	32	12	m	m	PRON
ap-1201	32	13	such	such	ADJ
ap-1201	32	14	that	that	SCONJ
ap-1201	32	15	this	this	DET
ap-1201	32	16	set	set	NOUN
ap-1201	32	17	should	should	AUX
ap-1201	32	18	contain	contain	VERB
ap-1201	32	19	information	information	NOUN
ap-1201	32	20	on	on	ADP
ap-1201	32	21	the	the	DET
ap-1201	32	22	probabilities	probability	NOUN
ap-1201	32	23	to	to	PART
ap-1201	32	24	observe	observe	VERB
ap-1201	32	25	the	the	DET
ap-1201	32	26	system	system	NOUN
ap-1201	32	27	in	in	ADP
ap-1201	32	28	a	a	DET
ap-1201	32	29	given	give	VERB
ap-1201	32	30	region	region	NOUN
ap-1201	32	31	.	.	PUNCT
ap-1201	33	1	a	a	DET
ap-1201	33	2	sufficiently	sufficiently	ADV
ap-1201	33	3	large	large	ADJ
ap-1201	33	4	canonical	canonical	ADJ
ap-1201	33	5	set	set	NOUN
ap-1201	33	6	of	of	ADP
ap-1201	33	7	regions	region	NOUN
ap-1201	33	8	is	be	AUX
ap-1201	33	9	the	the	DET
ap-1201	33	10	σ	σ	PROPN
ap-1201	33	11	-	-	PUNCT
ap-1201	33	12	algebra	algebra	PROPN
ap-1201	33	13	b(m	b(m	PROPN
ap-1201	33	14	)	)	PUNCT
ap-1201	33	15	of	of	ADP
ap-1201	33	16	borel	borel	PROPN
ap-1201	33	17	sets	set	NOUN
ap-1201	33	18	in	in	ADP
ap-1201	33	19	m	m	PROPN
ap-1201	33	20	.	.	PUNCT
ap-1201	34	1	we	we	PRON
ap-1201	34	2	choose	choose	VERB
ap-1201	34	3	b(m	b(m	PROPN
ap-1201	34	4	)	)	PUNCT
ap-1201	34	5	as	as	ADP
ap-1201	34	6	set	set	NOUN
ap-1201	34	7	of	of	ADP
ap-1201	34	8	position	position	NOUN
ap-1201	34	9	observables	observable	NOUN
ap-1201	34	10	.	.	PUNCT
ap-1201	35	1	smooth	smooth	ADJ
ap-1201	35	2	motions	motion	NOUN
ap-1201	35	3	of	of	ADP
ap-1201	35	4	systems	system	NOUN
ap-1201	35	5	localized	localize	VERB
ap-1201	35	6	in	in	ADP
ap-1201	35	7	b	b	PROPN
ap-1201	35	8	∈	∈	PROPN
ap-1201	35	9	b(m	b(m	PROPN
ap-1201	35	10	)	)	PUNCT
ap-1201	35	11	can	can	AUX
ap-1201	35	12	be	be	AUX
ap-1201	35	13	described	describe	VERB
ap-1201	35	14	canonically	canonically	ADV
ap-1201	35	15	through	through	ADP
ap-1201	35	16	flows	flow	NOUN
ap-1201	35	17	φ	φ	PROPN
ap-1201	35	18	on	on	ADP
ap-1201	35	19	m	m	PROPN
ap-1201	35	20	b	b	PROPN
ap-1201	35	21	�	�	PROPN
ap-1201	35	22	→	→	SYM
ap-1201	35	23	b′	b′	NUM
ap-1201	35	24	=	=	PUNCT
ap-1201	35	25	φx	φx	PROPN
ap-1201	35	26	s	s	X
ap-1201	35	27	(	(	PUNCT
ap-1201	35	28	b	b	NOUN
ap-1201	35	29	)	)	PUNCT
ap-1201	35	30	parameterized	parameterized	ADJ
ap-1201	35	31	with	with	ADP
ap-1201	35	32	s	s	PRON
ap-1201	35	33	and	and	CCONJ
ap-1201	35	34	characterized	characterize	VERB
ap-1201	35	35	through	through	ADP
ap-1201	35	36	infinitesimal	infinitesimal	ADJ
ap-1201	35	37	generators	generator	NOUN
ap-1201	35	38	x	x	X
ap-1201	35	39	which	which	PRON
ap-1201	35	40	are	be	AUX
ap-1201	35	41	contained	contain	VERB
ap-1201	35	42	in	in	ADP
ap-1201	35	43	the	the	DET
ap-1201	35	44	set	set	NOUN
ap-1201	35	45	v	v	NOUN
ap-1201	35	46	ect0(m	ect0(m	NOUN
ap-1201	35	47	)	)	PUNCT
ap-1201	35	48	of	of	ADP
ap-1201	35	49	smooth	smooth	ADJ
ap-1201	35	50	complete	complete	ADJ
ap-1201	35	51	vectorfields	vectorfield	NOUN
ap-1201	35	52	in	in	ADP
ap-1201	35	53	m	m	PRON
ap-1201	35	54	.	.	PUNCT
ap-1201	36	1	these	these	PRON
ap-1201	36	2	covers	cover	VERB
ap-1201	36	3	a	a	DET
ap-1201	36	4	large	large	ADJ
ap-1201	36	5	class	class	NOUN
ap-1201	36	6	of	of	ADP
ap-1201	36	7	motions	motion	NOUN
ap-1201	36	8	;	;	PUNCT
ap-1201	36	9	their	their	PRON
ap-1201	36	10	generators	generator	NOUN
ap-1201	36	11	x	x	VERB
ap-1201	36	12	can	can	AUX
ap-1201	36	13	be	be	AUX
ap-1201	36	14	chosen	choose	VERB
ap-1201	36	15	as	as	ADP
ap-1201	36	16	momentum	momentum	NOUN
ap-1201	36	17	observables	observable	NOUN
ap-1201	36	18	.	.	PUNCT
ap-1201	37	1	collecting	collect	VERB
ap-1201	37	2	the	the	DET
ap-1201	37	3	results	result	NOUN
ap-1201	37	4	we	we	PRON
ap-1201	37	5	have	have	VERB
ap-1201	37	6	:	:	PUNCT
ap-1201	37	7	•	•	ADP
ap-1201	37	8	the	the	DET
ap-1201	37	9	kinematical	kinematical	ADJ
ap-1201	37	10	situation	situation	NOUN
ap-1201	37	11	of	of	ADP
ap-1201	37	12	the	the	DET
ap-1201	37	13	system	system	NOUN
ap-1201	37	14	is	be	AUX
ap-1201	37	15	described	describe	VERB
ap-1201	37	16	with	with	ADP
ap-1201	37	17	a	a	DET
ap-1201	37	18	flow	flow	NOUN
ap-1201	37	19	model	model	NOUN
ap-1201	37	20	in	in	ADP
ap-1201	37	21	m	m	PROPN
ap-1201	37	22	.	.	PUNCT
ap-1201	38	1	position	position	NOUN
ap-1201	38	2	observables	observable	NOUN
ap-1201	38	3	are	be	AUX
ap-1201	38	4	modelled	model	VERB
ap-1201	38	5	with	with	ADP
ap-1201	38	6	the	the	DET
ap-1201	38	7	σ	σ	PROPN
ap-1201	38	8	-	-	PUNCT
ap-1201	38	9	algebra	algebra	PROPN
ap-1201	38	10	b(m	b(m	PROPN
ap-1201	38	11	)	)	PUNCT
ap-1201	38	12	and	and	CCONJ
ap-1201	38	13	momentum	momentum	NOUN
ap-1201	38	14	observables	observable	NOUN
ap-1201	38	15	with	with	ADP
ap-1201	38	16	vectorfields	vectorfield	NOUN
ap-1201	38	17	v	v	ADP
ap-1201	38	18	ect0(m	ect0(m	NOUN
ap-1201	38	19	)	)	PUNCT
ap-1201	38	20	.	.	PUNCT
ap-1201	39	1	the	the	DET
ap-1201	39	2	collection	collection	NOUN
ap-1201	39	3	of	of	ADP
ap-1201	39	4	these	these	DET
ap-1201	39	5	observable	observable	ADJ
ap-1201	39	6	k(m	k(m	PROPN
ap-1201	39	7	)	)	PUNCT
ap-1201	40	1	=	=	PRON
ap-1201	40	2	(	(	PUNCT
ap-1201	40	3	b(m	b(m	PROPN
ap-1201	40	4	)	)	PUNCT
ap-1201	40	5	,	,	PUNCT
ap-1201	40	6	v	v	NOUN
ap-1201	40	7	ect0(m	ect0(m	NOUN
ap-1201	40	8	)	)	PUNCT
ap-1201	40	9	)	)	PUNCT
ap-1201	41	1	(	(	PUNCT
ap-1201	41	2	3	3	X
ap-1201	41	3	)	)	PUNCT
ap-1201	41	4	contains	contain	VERB
ap-1201	41	5	through	through	ADP
ap-1201	41	6	the	the	DET
ap-1201	41	7	flow	flow	NOUN
ap-1201	41	8	model	model	NOUN
ap-1201	41	9	all	all	DET
ap-1201	41	10	possible	possible	ADJ
ap-1201	41	11	positions	position	NOUN
ap-1201	41	12	and	and	CCONJ
ap-1201	41	13	momenta	momenta	NOUN
ap-1201	41	14	as	as	ADP
ap-1201	41	15	global	global	ADJ
ap-1201	41	16	properties	property	NOUN
ap-1201	41	17	of	of	ADP
ap-1201	41	18	the	the	DET
ap-1201	41	19	moving	move	VERB
ap-1201	41	20	borel	borel	PROPN
ap-1201	41	21	field	field	NOUN
ap-1201	41	22	b(m	b(m	PROPN
ap-1201	41	23	)	)	PUNCT
ap-1201	41	24	.	.	PUNCT
ap-1201	42	1	this	this	PRON
ap-1201	42	2	justifies	justify	VERB
ap-1201	42	3	the	the	DET
ap-1201	42	4	name	name	NOUN
ap-1201	42	5	‘	'	PUNCT
ap-1201	42	6	borel	borel	NOUN
ap-1201	42	7	’	'	PUNCT
ap-1201	42	8	kinematic	kinematic	PROPN
ap-1201	42	9	.	.	PUNCT
ap-1201	43	1	this	this	DET
ap-1201	43	2	notion	notion	NOUN
ap-1201	43	3	can	can	AUX
ap-1201	43	4	be	be	AUX
ap-1201	43	5	generalized	generalize	VERB
ap-1201	43	6	[	[	X
ap-1201	43	7	4	4	NUM
ap-1201	43	8	,	,	PUNCT
ap-1201	43	9	7	7	NUM
ap-1201	43	10	,	,	PUNCT
ap-1201	43	11	8	8	NUM
ap-1201	43	12	]	]	PUNCT
ap-1201	43	13	to	to	ADP
ap-1201	43	14	systems	system	NOUN
ap-1201	43	15	with	with	ADP
ap-1201	43	16	k	k	PROPN
ap-1201	43	17	internal	internal	ADJ
ap-1201	43	18	degrees	degree	NOUN
ap-1201	43	19	of	of	ADP
ap-1201	43	20	freedom	freedom	NOUN
ap-1201	43	21	and	and	CCONJ
ap-1201	43	22	external	external	ADJ
ap-1201	43	23	fields	field	NOUN
ap-1201	43	24	(	(	PUNCT
ap-1201	43	25	2	2	NUM
ap-1201	43	26	-	-	PUNCT
ap-1201	43	27	forms	form	NOUN
ap-1201	43	28	on	on	ADP
ap-1201	43	29	m	m	NOUN
ap-1201	43	30	)	)	PUNCT
ap-1201	43	31	.	.	PUNCT
ap-1201	44	1	the	the	DET
ap-1201	44	2	kinematics	kinematics	PROPN
ap-1201	44	3	k(m	k(m	PROPN
ap-1201	44	4	)	)	PUNCT
ap-1201	44	5	is	be	AUX
ap-1201	44	6	a	a	DET
ap-1201	44	7	time	time	NOUN
ap-1201	44	8	independent	independent	ADJ
ap-1201	44	9	quantity	quantity	NOUN
ap-1201	44	10	.	.	PUNCT
ap-1201	45	1	if	if	SCONJ
ap-1201	45	2	a	a	DET
ap-1201	45	3	time	time	NOUN
ap-1201	45	4	dependence	dependence	NOUN
ap-1201	45	5	t	t	PROPN
ap-1201	45	6	is	be	AUX
ap-1201	45	7	introduced	introduce	VERB
ap-1201	45	8	to	to	PART
ap-1201	45	9	parametrize	parametrize	VERB
ap-1201	45	10	the	the	DET
ap-1201	45	11	motion	motion	NOUN
ap-1201	45	12	of	of	ADP
ap-1201	45	13	the	the	DET
ap-1201	45	14	system	system	NOUN
ap-1201	45	15	,	,	PUNCT
ap-1201	45	16	e.g.	e.g.	ADV
ap-1201	45	17	through	through	ADP
ap-1201	45	18	t	t	PROPN
ap-1201	45	19	dependent	dependent	ADJ
ap-1201	45	20	states	state	NOUN
ap-1201	45	21	,	,	PUNCT
ap-1201	45	22	the	the	DET
ap-1201	45	23	quantization	quantization	NOUN
ap-1201	45	24	q	q	NOUN
ap-1201	45	25	of	of	ADP
ap-1201	45	26	k(m	k(m	PROPN
ap-1201	45	27	)	)	PUNCT
ap-1201	45	28	leads	lead	VERB
ap-1201	45	29	to	to	ADP
ap-1201	45	30	evolution	evolution	NOUN
ap-1201	45	31	equations	equation	NOUN
ap-1201	45	32	which	which	PRON
ap-1201	45	33	select	select	VERB
ap-1201	45	34	,	,	PUNCT
ap-1201	45	35	with	with	ADP
ap-1201	45	36	e.g.	e.g.	ADJ
ap-1201	45	37	initial	initial	ADJ
ap-1201	45	38	values	value	NOUN
ap-1201	45	39	,	,	PUNCT
ap-1201	45	40	the	the	DET
ap-1201	45	41	t	t	PROPN
ap-1201	45	42	dependence	dependence	NOUN
ap-1201	45	43	of	of	ADP
ap-1201	45	44	the	the	DET
ap-1201	45	45	matrix	matrix	NOUN
ap-1201	45	46	element	element	NOUN
ap-1201	45	47	of	of	ADP
ap-1201	45	48	the	the	DET
ap-1201	45	49	quantized	quantize	VERB
ap-1201	45	50	kinematical	kinematical	ADJ
ap-1201	45	51	observable	observable	ADJ
ap-1201	45	52	(	(	PUNCT
ap-1201	45	53	see	see	VERB
ap-1201	45	54	e.g.	e.g.	ADV
ap-1201	45	55	[	[	X
ap-1201	45	56	1	1	NUM
ap-1201	45	57	,	,	PUNCT
ap-1201	45	58	9	9	NUM
ap-1201	45	59	,	,	PUNCT
ap-1201	45	60	10	10	NUM
ap-1201	45	61	]	]	NUM
ap-1201	45	62	)	)	PUNCT
ap-1201	45	63	.	.	PUNCT
ap-1201	46	1	3.2	3.2	NUM
ap-1201	46	2	quantizations	quantization	NOUN
ap-1201	46	3	of	of	ADP
ap-1201	46	4	k(m	k(m	PROPN
ap-1201	46	5	)	)	PUNCT
ap-1201	46	6	we	we	PRON
ap-1201	46	7	use	use	VERB
ap-1201	46	8	‘	'	PUNCT
ap-1201	46	9	quantization	quantization	NOUN
ap-1201	46	10	’	'	PUNCT
ap-1201	46	11	in	in	ADP
ap-1201	46	12	the	the	DET
ap-1201	46	13	following	follow	VERB
ap-1201	46	14	sense	sense	NOUN
ap-1201	46	15	:	:	PUNCT
ap-1201	46	16	consider	consider	VERB
ap-1201	46	17	a	a	DET
ap-1201	46	18	set	set	NOUN
ap-1201	46	19	of	of	ADP
ap-1201	46	20	classical	classical	ADJ
ap-1201	46	21	objects	object	NOUN
ap-1201	46	22	,	,	PUNCT
ap-1201	46	23	e.g.	e.g.	ADV
ap-1201	46	24	k(m	k(m	PROPN
ap-1201	46	25	)	)	PUNCT
ap-1201	46	26	,	,	PUNCT
ap-1201	46	27	a	a	DET
ap-1201	46	28	separable	separable	ADJ
ap-1201	46	29	hilbert	hilbert	NOUN
ap-1201	46	30	space	space	NOUN
ap-1201	46	31	h	h	NOUN
ap-1201	46	32	and	and	CCONJ
ap-1201	46	33	the	the	DET
ap-1201	46	34	set	set	NOUN
ap-1201	46	35	sa(h	sa(h	PROPN
ap-1201	46	36	)	)	PUNCT
ap-1201	46	37	of	of	ADP
ap-1201	46	38	esa	esa	PROPN
ap-1201	46	39	operators	operator	NOUN
ap-1201	46	40	(	(	PUNCT
ap-1201	46	41	and	and	CCONJ
ap-1201	46	42	hence	hence	ADV
ap-1201	46	43	linear	linear	ADJ
ap-1201	46	44	)	)	PUNCT
ap-1201	46	45	in	in	ADP
ap-1201	46	46	h.	h.	PROPN
ap-1201	46	47	the	the	DET
ap-1201	46	48	states	state	NOUN
ap-1201	46	49	of	of	ADP
ap-1201	46	50	the	the	DET
ap-1201	46	51	system	system	NOUN
ap-1201	46	52	are	be	AUX
ap-1201	46	53	modelled	model	VERB
ap-1201	46	54	through	through	ADP
ap-1201	46	55	h.	h.	PROPN
ap-1201	46	56	we	we	PRON
ap-1201	46	57	define	define	VERB
ap-1201	46	58	‘	'	PUNCT
ap-1201	46	59	quantization	quantization	NOUN
ap-1201	46	60	’	'	PUNCT
ap-1201	46	61	as	as	ADP
ap-1201	46	62	a	a	DET
ap-1201	46	63	map	map	NOUN
ap-1201	46	64	q	q	X
ap-1201	46	65	(	(	PUNCT
ap-1201	46	66	quantum	quantum	NOUN
ap-1201	46	67	map	map	NOUN
ap-1201	46	68	)	)	PUNCT
ap-1201	46	69	of	of	ADP
ap-1201	46	70	this	this	DET
ap-1201	46	71	classical	classical	ADJ
ap-1201	46	72	object	object	NOUN
ap-1201	46	73	on	on	ADP
ap-1201	46	74	a	a	DET
ap-1201	46	75	cdi	cdi	PROPN
ap-1201	46	76	domain	domain	NOUN
ap-1201	46	77	in	in	ADP
ap-1201	46	78	sa(h	sa(h	NOUN
ap-1201	46	79	)	)	PUNCT
ap-1201	46	80	with	with	ADP
ap-1201	46	81	certain	certain	ADJ
ap-1201	46	82	properties	property	NOUN
ap-1201	46	83	depending	depend	VERB
ap-1201	46	84	on	on	ADP
ap-1201	46	85	the	the	DET
ap-1201	46	86	structure	structure	NOUN
ap-1201	46	87	of	of	ADP
ap-1201	46	88	the	the	DET
ap-1201	46	89	system	system	NOUN
ap-1201	46	90	.	.	PUNCT
ap-1201	47	1	hence	hence	ADV
ap-1201	47	2	a	a	DET
ap-1201	47	3	quantization	quantization	NOUN
ap-1201	47	4	of	of	ADP
ap-1201	47	5	k(m	k(m	PROPN
ap-1201	47	6	)	)	PUNCT
ap-1201	47	7	is	be	AUX
ap-1201	47	8	a	a	DET
ap-1201	47	9	quantum	quantum	NOUN
ap-1201	47	10	map	map	NOUN
ap-1201	47	11	q(m	q(m	PROPN
ap-1201	47	12	,	,	PUNCT
ap-1201	47	13	k	k	NOUN
ap-1201	47	14	)	)	PUNCT
ap-1201	47	15	=	=	SYM
ap-1201	48	1	(	(	PUNCT
ap-1201	48	2	q	q	ADJ
ap-1201	48	3	,	,	PUNCT
ap-1201	48	4	p	p	NOUN
ap-1201	48	5	)	)	PUNCT
ap-1201	48	6	q	q	NOUN
ap-1201	48	7	:	:	PUNCT
ap-1201	48	8	k(m	k(m	PROPN
ap-1201	48	9	)	)	PUNCT
ap-1201	48	10	�	�	PROPN
ap-1201	48	11	(	(	PUNCT
ap-1201	48	12	b	b	NOUN
ap-1201	48	13	,	,	PUNCT
ap-1201	48	14	x	x	NOUN
ap-1201	48	15	)	)	PUNCT
ap-1201	48	16	�	�	PROPN
ap-1201	48	17	→	→	SYM
ap-1201	48	18	(	(	PUNCT
ap-1201	48	19	q(b),p(x	q(b),p(x	NOUN
ap-1201	48	20	)	)	PUNCT
ap-1201	48	21	∈	∈	PROPN
ap-1201	48	22	sa(h	sa(h	PROPN
ap-1201	48	23	)	)	PUNCT
ap-1201	48	24	(	(	PUNCT
ap-1201	48	25	4	4	X
ap-1201	48	26	)	)	PUNCT
ap-1201	48	27	on	on	ADP
ap-1201	48	28	a	a	DET
ap-1201	48	29	cdi	cdi	PROPN
ap-1201	48	30	domain	domain	NOUN
ap-1201	48	31	d	d	PROPN
ap-1201	48	32	in	in	ADP
ap-1201	48	33	h.	h.	PROPN
ap-1201	48	34	3.2.1	3.2.1	NUM
ap-1201	48	35	quantizations	quantization	NOUN
ap-1201	48	36	of	of	ADP
ap-1201	48	37	borel	borel	PROPN
ap-1201	48	38	fields	fields	PROPN
ap-1201	48	39	b(m	b(m	PROPN
ap-1201	48	40	)	)	PUNCT
ap-1201	48	41	and	and	CCONJ
ap-1201	48	42	algebraic	algebraic	ADJ
ap-1201	48	43	properties	property	NOUN
ap-1201	48	44	of	of	ADP
ap-1201	48	45	k(m	k(m	PROPN
ap-1201	48	46	)	)	PUNCT
ap-1201	49	1	following	follow	VERB
ap-1201	49	2	the	the	DET
ap-1201	49	3	geometrical	geometrical	ADJ
ap-1201	49	4	background	background	NOUN
ap-1201	49	5	of	of	ADP
ap-1201	49	6	the	the	DET
ap-1201	49	7	flow	flow	NOUN
ap-1201	49	8	model	model	NOUN
ap-1201	49	9	and	and	CCONJ
ap-1201	49	10	the	the	DET
ap-1201	49	11	above	above	ADJ
ap-1201	49	12	notion	notion	NOUN
ap-1201	49	13	we	we	PRON
ap-1201	49	14	interpret	interpret	VERB
ap-1201	49	15	the	the	DET
ap-1201	49	16	map	map	NOUN
ap-1201	49	17	q	q	NOUN
ap-1201	49	18	:	:	PUNCT
ap-1201	49	19	b	b	PROPN
ap-1201	49	20	�	�	PROPN
ap-1201	49	21	→	→	SYM
ap-1201	49	22	q(b	q(b	ADJ
ap-1201	49	23	)	)	PUNCT
ap-1201	49	24	∈	∈	PROPN
ap-1201	49	25	sa(h	sa(h	NOUN
ap-1201	49	26	)	)	PUNCT
ap-1201	49	27	,	,	PUNCT
ap-1201	49	28	b	b	X
ap-1201	49	29	∈	∈	PROPN
ap-1201	49	30	b(m	b(m	PROPN
ap-1201	49	31	)	)	PUNCT
ap-1201	49	32	(	(	PUNCT
ap-1201	49	33	5	5	NUM
ap-1201	49	34	)	)	PUNCT
ap-1201	49	35	through	through	ADP
ap-1201	49	36	the	the	DET
ap-1201	49	37	matrix	matrix	NOUN
ap-1201	49	38	elements	element	NOUN
ap-1201	49	39	of	of	ADP
ap-1201	49	40	q(b	q(b	ADJ
ap-1201	49	41	)	)	PUNCT
ap-1201	49	42	in	in	ADP
ap-1201	49	43	a	a	DET
ap-1201	49	44	(	(	PUNCT
ap-1201	49	45	pure	pure	ADJ
ap-1201	49	46	)	)	PUNCT
ap-1201	49	47	state	state	NOUN
ap-1201	49	48	with	with	ADP
ap-1201	49	49	ψ	ψ	X
ap-1201	49	50	∈	∈	PROPN
ap-1201	49	51	d	d	NOUN
ap-1201	49	52	μϕ(b	μϕ(b	NUM
ap-1201	49	53	)	)	PUNCT
ap-1201	49	54	=	=	PUNCT
ap-1201	49	55	(	(	PUNCT
ap-1201	49	56	ψ	ψ	X
ap-1201	49	57	,	,	PUNCT
ap-1201	49	58	q(b)ψ))/(ψ	q(b)ψ))/(ψ	ADJ
ap-1201	49	59	,	,	PUNCT
ap-1201	49	60	ψ	ψ	NOUN
ap-1201	49	61	)	)	PUNCT
ap-1201	49	62	(	(	PUNCT
ap-1201	49	63	6	6	NUM
ap-1201	49	64	)	)	PUNCT
ap-1201	49	65	as	as	SCONJ
ap-1201	49	66	the	the	DET
ap-1201	49	67	probability	probability	NOUN
ap-1201	49	68	to	to	PART
ap-1201	49	69	find	find	VERB
ap-1201	49	70	the	the	DET
ap-1201	49	71	system	system	NOUN
ap-1201	49	72	in	in	ADP
ap-1201	49	73	this	this	DET
ap-1201	49	74	state	state	NOUN
ap-1201	49	75	localized	localize	VERB
ap-1201	49	76	in	in	ADP
ap-1201	49	77	b	b	PROPN
ap-1201	49	78	∈	∈	PROPN
ap-1201	49	79	b(m	b(m	PROPN
ap-1201	49	80	)	)	PUNCT
ap-1201	49	81	.	.	PUNCT
ap-1201	50	1	therefore	therefore	ADV
ap-1201	50	2	we	we	PRON
ap-1201	50	3	assume	assume	VERB
ap-1201	50	4	μψ	μψ	ADP
ap-1201	50	5	:	:	PUNCT
ap-1201	50	6	b	b	X
ap-1201	50	7	�	�	PROPN
ap-1201	50	8	−→	−→	NOUN
ap-1201	50	9	μψ(b	μψ(b	NOUN
ap-1201	50	10	)	)	PUNCT
ap-1201	50	11	to	to	PART
ap-1201	50	12	be	be	AUX
ap-1201	50	13	a	a	DET
ap-1201	50	14	probability	probability	NOUN
ap-1201	50	15	measure	measure	NOUN
ap-1201	50	16	on	on	ADP
ap-1201	50	17	b(m	b(m	PROPN
ap-1201	50	18	)	)	PUNCT
ap-1201	50	19	which	which	PRON
ap-1201	50	20	implies	imply	VERB
ap-1201	50	21	that	that	SCONJ
ap-1201	50	22	q(b	q(b	ADV
ap-1201	50	23	)	)	PUNCT
ap-1201	50	24	is	be	AUX
ap-1201	50	25	a	a	DET
ap-1201	50	26	positive	positive	ADJ
ap-1201	50	27	operator	operator	NOUN
ap-1201	50	28	valued	value	VERB
ap-1201	50	29	(	(	PUNCT
ap-1201	50	30	pov	pov	NOUN
ap-1201	50	31	)	)	PUNCT
ap-1201	50	32	measure	measure	NOUN
ap-1201	50	33	on	on	ADP
ap-1201	50	34	b(m	b(m	PROPN
ap-1201	50	35	)	)	PUNCT
ap-1201	50	36	.	.	PUNCT
ap-1201	51	1	we	we	PRON
ap-1201	51	2	assume	assume	VERB
ap-1201	51	3	that	that	SCONJ
ap-1201	51	4	the	the	DET
ap-1201	51	5	position	position	NOUN
ap-1201	51	6	observable	observable	ADJ
ap-1201	51	7	b	b	NOUN
ap-1201	51	8	and	and	CCONJ
ap-1201	51	9	also	also	ADV
ap-1201	51	10	their	their	PRON
ap-1201	51	11	traumatizations	traumatization	NOUN
ap-1201	51	12	q(b	q(b	ADV
ap-1201	51	13	)	)	PUNCT
ap-1201	51	14	are	be	AUX
ap-1201	51	15	commutative1	commutative1	ADJ
ap-1201	51	16	and	and	CCONJ
ap-1201	51	17	get	get	VERB
ap-1201	51	18	a	a	DET
ap-1201	51	19	projective	projective	ADJ
ap-1201	51	20	pov	pov	NOUN
ap-1201	51	21	valued	value	VERB
ap-1201	51	22	measure	measure	NOUN
ap-1201	51	23	q.	q.	PROPN
ap-1201	51	24	if	if	SCONJ
ap-1201	51	25	h	h	NOUN
ap-1201	51	26	is	be	AUX
ap-1201	51	27	realized	realize	VERB
ap-1201	51	28	as	as	ADP
ap-1201	51	29	l2(m	l2(m	PROPN
ap-1201	51	30	,	,	PUNCT
ap-1201	51	31	ν	ν	NOUN
ap-1201	51	32	)	)	PUNCT
ap-1201	51	33	(	(	PUNCT
ap-1201	51	34	ν	ν	NOUN
ap-1201	51	35	is	be	AUX
ap-1201	51	36	a	a	DET
ap-1201	51	37	standard	standard	ADJ
ap-1201	51	38	measure	measure	NOUN
ap-1201	51	39	on	on	ADP
ap-1201	51	40	m	m	NOUN
ap-1201	51	41	)	)	PUNCT
ap-1201	51	42	the	the	DET
ap-1201	51	43	q(b	q(b	ADJ
ap-1201	51	44	)	)	PUNCT
ap-1201	51	45	act	act	PROPN
ap-1201	51	46	,	,	PUNCT
ap-1201	51	47	up	up	ADP
ap-1201	51	48	to	to	ADP
ap-1201	51	49	unitary	unitary	ADJ
ap-1201	51	50	equivalence	equivalence	NOUN
ap-1201	51	51	,	,	PUNCT
ap-1201	51	52	as	as	ADP
ap-1201	51	53	a	a	DET
ap-1201	51	54	multiplication	multiplication	NOUN
ap-1201	51	55	operator	operator	NOUN
ap-1201	51	56	with	with	ADP
ap-1201	51	57	the	the	DET
ap-1201	51	58	characteristic	characteristic	ADJ
ap-1201	51	59	function	function	NOUN
ap-1201	51	60	of	of	ADP
ap-1201	51	61	b	b	NOUN
ap-1201	51	62	q(b)ψ	q(b)ψ	PROPN
ap-1201	51	63	=	=	SYM
ap-1201	51	64	χ(b)ψ	χ(b)ψ	PROPN
ap-1201	51	65	.	.	PUNCT
ap-1201	52	1	(	(	PUNCT
ap-1201	52	2	7	7	X
ap-1201	52	3	)	)	PUNCT
ap-1201	52	4	finally	finally	ADV
ap-1201	52	5	we	we	PRON
ap-1201	52	6	induce	induce	VERB
ap-1201	52	7	a	a	DET
ap-1201	52	8	quantum	quantum	NOUN
ap-1201	52	9	map	map	NOUN
ap-1201	52	10	q	q	PROPN
ap-1201	52	11	of	of	ADP
ap-1201	52	12	the	the	DET
ap-1201	52	13	set	set	NOUN
ap-1201	52	14	c∞(m	c∞(m	NOUN
ap-1201	52	15	)	)	PUNCT
ap-1201	52	16	of	of	ADP
ap-1201	52	17	real	real	ADJ
ap-1201	52	18	smooth	smooth	ADJ
ap-1201	52	19	functions	function	NOUN
ap-1201	52	20	f(m	f(m	PROPN
ap-1201	52	21	)	)	PUNCT
ap-1201	52	22	on	on	ADP
ap-1201	52	23	m	m	NOUN
ap-1201	52	24	∈m	∈m	NOUN
ap-1201	52	25	via	via	ADP
ap-1201	52	26	the	the	DET
ap-1201	52	27	spectral	spectral	PROPN
ap-1201	52	28	theorem	theorem	ADJ
ap-1201	52	29	q	q	NOUN
ap-1201	52	30	:	:	PUNCT
ap-1201	52	31	c∞(m	c∞(m	NOUN
ap-1201	52	32	)	)	PUNCT
ap-1201	52	33	�	�	PROPN
ap-1201	52	34	f	f	PROPN
ap-1201	52	35	�	�	PROPN
ap-1201	52	36	→	→	SYM
ap-1201	52	37	q(f(m	q(f(m	PROPN
ap-1201	52	38	)	)	PUNCT
ap-1201	52	39	=	=	SYM
ap-1201	52	40	f(m	f(m	PROPN
ap-1201	52	41	)	)	PUNCT
ap-1201	52	42	∈	∈	PROPN
ap-1201	52	43	sa(l2(m	sa(l2(m	PROPN
ap-1201	52	44	,	,	PUNCT
ap-1201	52	45	ν	ν	NOUN
ap-1201	52	46	)	)	PUNCT
ap-1201	52	47	)	)	PUNCT
ap-1201	52	48	.	.	PUNCT
ap-1201	53	1	(	(	PUNCT
ap-1201	53	2	8)	8)	NUM
ap-1201	53	3	the	the	DET
ap-1201	53	4	model	model	NOUN
ap-1201	53	5	for	for	ADP
ap-1201	53	6	position	position	NOUN
ap-1201	53	7	observables	observable	NOUN
ap-1201	53	8	with	with	ADP
ap-1201	53	9	smooth	smooth	ADJ
ap-1201	53	10	functions	function	NOUN
ap-1201	53	11	f	f	PROPN
ap-1201	53	12	∈	∈	PROPN
ap-1201	53	13	c∞(m	c∞(m	NOUN
ap-1201	53	14	)	)	PUNCT
ap-1201	53	15	)	)	PUNCT
ap-1201	53	16	instead	instead	ADV
ap-1201	53	17	with	with	ADP
ap-1201	53	18	borel	borel	PROPN
ap-1201	53	19	sets	set	VERB
ap-1201	53	20	b	b	PROPN
ap-1201	53	21	∈	∈	PROPN
ap-1201	53	22	b(m	b(m	PROPN
ap-1201	53	23	)	)	PUNCT
ap-1201	53	24	is	be	AUX
ap-1201	53	25	motivated	motivate	VERB
ap-1201	53	26	because	because	SCONJ
ap-1201	53	27	one	one	PRON
ap-1201	53	28	can	can	AUX
ap-1201	53	29	equivalently	equivalently	ADV
ap-1201	53	30	writek(m	writek(m	VERB
ap-1201	53	31	)	)	PUNCT
ap-1201	53	32	as	as	ADP
ap-1201	53	33	k(m	k(m	PROPN
ap-1201	53	34	)	)	PUNCT
ap-1201	54	1	=	=	PRON
ap-1201	54	2	(	(	PUNCT
ap-1201	54	3	c∞(m	c∞(m	NOUN
ap-1201	54	4	)	)	PUNCT
ap-1201	54	5	,	,	PUNCT
ap-1201	54	6	v	v	NOUN
ap-1201	54	7	ect0(m	ect0(m	NOUN
ap-1201	54	8	)	)	PUNCT
ap-1201	54	9	)	)	PUNCT
ap-1201	55	1	(	(	PUNCT
ap-1201	55	2	9	9	X
ap-1201	55	3	)	)	PUNCT
ap-1201	55	4	which	which	PRON
ap-1201	55	5	implies	imply	VERB
ap-1201	55	6	an	an	DET
ap-1201	55	7	algebraic	algebraic	ADJ
ap-1201	55	8	structure	structure	NOUN
ap-1201	55	9	of	of	ADP
ap-1201	55	10	k(m	k(m	PROPN
ap-1201	55	11	):	):	PUNCT
ap-1201	55	12	the	the	DET
ap-1201	55	13	abelian	abelian	ADJ
ap-1201	55	14	lie	lie	NOUN
ap-1201	55	15	-	-	PUNCT
ap-1201	55	16	algebra	algebra	NOUN
ap-1201	55	17	c∞(m	c∞(m	NOUN
ap-1201	55	18	)	)	PUNCT
ap-1201	55	19	and	and	CCONJ
ap-1201	55	20	the	the	DET
ap-1201	55	21	algebra	algebra	NOUN
ap-1201	55	22	of	of	ADP
ap-1201	55	23	smooth	smooth	ADJ
ap-1201	55	24	vectorfields	vectorfield	NOUN
ap-1201	55	25	v	v	ADP
ap-1201	55	26	ect0(m	ect0(m	NOUN
ap-1201	55	27	)	)	PUNCT
ap-1201	55	28	which	which	PRON
ap-1201	55	29	act	act	VERB
ap-1201	55	30	together	together	ADV
ap-1201	55	31	on	on	ADP
ap-1201	55	32	m	m	NOUN
ap-1201	55	33	as	as	ADP
ap-1201	55	34	semidirect	semidirect	NOUN
ap-1201	55	35	sum	sum	NOUN
ap-1201	55	36	k(m	k(m	PROPN
ap-1201	55	37	)	)	PUNCT
ap-1201	56	1	=	=	SYM
ap-1201	56	2	c∞(m)⊕s	c∞(m)⊕s	PROPN
ap-1201	56	3	v	v	NOUN
ap-1201	56	4	ect0(m	ect0(m	NOUN
ap-1201	56	5	)	)	PUNCT
ap-1201	56	6	.	.	PUNCT
ap-1201	57	1	(	(	PUNCT
ap-1201	57	2	10	10	NUM
ap-1201	57	3	)	)	PUNCT
ap-1201	57	4	hence	hence	ADV
ap-1201	57	5	k(m	k(m	PROPN
ap-1201	57	6	)	)	PUNCT
ap-1201	57	7	can	can	AUX
ap-1201	57	8	be	be	AUX
ap-1201	57	9	viewed	view	VERB
ap-1201	57	10	as	as	ADP
ap-1201	57	11	an	an	DET
ap-1201	57	12	(	(	PUNCT
ap-1201	57	13	∞	∞	NUM
ap-1201	57	14	dim	dim	NOUN
ap-1201	57	15	)	)	PUNCT
ap-1201	57	16	global	global	ADJ
ap-1201	57	17	infinite	infinite	ADJ
ap-1201	57	18	dimensional	dimensional	ADJ
ap-1201	57	19	lie	lie	NOUN
ap-1201	57	20	-	-	PUNCT
ap-1201	57	21	algebraic	algebraic	ADJ
ap-1201	57	22	symmetry	symmetry	NOUN
ap-1201	57	23	of	of	ADP
ap-1201	57	24	a	a	DET
ap-1201	57	25	system	system	NOUN
ap-1201	57	26	on	on	ADP
ap-1201	57	27	m	m	PROPN
ap-1201	57	28	.	.	PUNCT
ap-1201	58	1	it	it	PRON
ap-1201	58	2	can	can	AUX
ap-1201	58	3	also	also	ADV
ap-1201	58	4	be	be	AUX
ap-1201	58	5	considered	consider	VERB
ap-1201	58	6	as	as	ADP
ap-1201	58	7	lie	lie	NOUN
ap-1201	58	8	-	-	PUNCT
ap-1201	58	9	algebra	algebra	NOUN
ap-1201	58	10	of	of	ADP
ap-1201	58	11	an	an	DET
ap-1201	58	12	inhomogeneous	inhomogeneous	ADJ
ap-1201	58	13	subgroup	subgroup	NOUN
ap-1201	58	14	of	of	ADP
ap-1201	58	15	the	the	DET
ap-1201	58	16	diffeomorphism	diffeomorphism	NOUN
ap-1201	58	17	group	group	NOUN
ap-1201	58	18	diff(m	diff(m	NOUN
ap-1201	58	19	)	)	PUNCT
ap-1201	58	20	which	which	PRON
ap-1201	58	21	was	be	AUX
ap-1201	58	22	used	use	VERB
ap-1201	58	23	in	in	ADP
ap-1201	58	24	[	[	X
ap-1201	58	25	11	11	NUM
ap-1201	58	26	]	]	PUNCT
ap-1201	58	27	.	.	PUNCT
ap-1201	59	1	1certain	1certain	NUM
ap-1201	59	2	types	type	NOUN
ap-1201	59	3	of	of	ADP
ap-1201	59	4	noncommutative	noncommutative	ADJ
ap-1201	59	5	positions	position	NOUN
ap-1201	59	6	can	can	AUX
ap-1201	59	7	also	also	ADV
ap-1201	59	8	be	be	AUX
ap-1201	59	9	discussed	discuss	VERB
ap-1201	59	10	in	in	ADP
ap-1201	59	11	this	this	DET
ap-1201	59	12	approach	approach	NOUN
ap-1201	59	13	.	.	PUNCT
ap-1201	60	1	77	77	NUM
ap-1201	60	2	acta	acta	PROPN
ap-1201	60	3	polytechnica	polytechnica	PROPN
ap-1201	60	4	vol	vol	NOUN
ap-1201	60	5	.	.	PROPN
ap-1201	61	1	50	50	NUM
ap-1201	61	2	no	no	NOUN
ap-1201	61	3	.	.	PUNCT
ap-1201	62	1	3/2010	3/2010	NUM
ap-1201	62	2	this	this	DET
ap-1201	62	3	symmetry	symmetry	NOUN
ap-1201	62	4	(	(	PUNCT
ap-1201	62	5	10	10	NUM
ap-1201	62	6	)	)	PUNCT
ap-1201	62	7	reflects	reflect	VERB
ap-1201	62	8	the	the	DET
ap-1201	62	9	physics	physics	NOUN
ap-1201	62	10	in	in	ADP
ap-1201	62	11	the	the	DET
ap-1201	62	12	flow	flow	NOUN
ap-1201	62	13	model	model	NOUN
ap-1201	62	14	and	and	CCONJ
ap-1201	62	15	it	it	PRON
ap-1201	62	16	is	be	AUX
ap-1201	62	17	plausible	plausible	ADJ
ap-1201	62	18	to	to	PART
ap-1201	62	19	assume	assume	VERB
ap-1201	62	20	that	that	SCONJ
ap-1201	62	21	the	the	DET
ap-1201	62	22	symmetry	symmetry	NOUN
ap-1201	62	23	survives	survive	VERB
ap-1201	62	24	the	the	DET
ap-1201	62	25	quantization	quantization	NOUN
ap-1201	62	26	map	map	NOUN
ap-1201	62	27	q	q	PUNCT
ap-1201	62	28	and	and	CCONJ
ap-1201	62	29	leads	lead	VERB
ap-1201	62	30	after	after	ADP
ap-1201	62	31	quantization	quantization	NOUN
ap-1201	62	32	in	in	ADP
ap-1201	62	33	l2(m	l2(m	PROPN
ap-1201	62	34	,	,	PUNCT
ap-1201	62	35	ν	ν	NOUN
ap-1201	62	36	)	)	PUNCT
ap-1201	62	37	to	to	ADP
ap-1201	62	38	a	a	DET
ap-1201	62	39	partial	partial	ADJ
ap-1201	62	40	realization	realization	NOUN
ap-1201	62	41	of	of	ADP
ap-1201	62	42	k(m	k(m	PROPN
ap-1201	62	43	)	)	PUNCT
ap-1201	62	44	in	in	ADP
ap-1201	62	45	(	(	PUNCT
ap-1201	62	46	10	10	NUM
ap-1201	62	47	)	)	PUNCT
ap-1201	62	48	.	.	PUNCT
ap-1201	63	1	we	we	PRON
ap-1201	63	2	add	add	VERB
ap-1201	63	3	‘	'	PUNCT
ap-1201	63	4	partial	partial	ADJ
ap-1201	63	5	’	'	PUNCT
ap-1201	63	6	because	because	SCONJ
ap-1201	63	7	two	two	NUM
ap-1201	63	8	esa	esa	NOUN
ap-1201	63	9	elements	element	NOUN
ap-1201	63	10	in	in	ADP
ap-1201	63	11	k(m	k(m	PROPN
ap-1201	63	12	)	)	PUNCT
ap-1201	63	13	on	on	ADP
ap-1201	63	14	d	d	PART
ap-1201	63	15	belong	belong	VERB
ap-1201	63	16	to	to	ADP
ap-1201	63	17	q(m	q(m	PROPN
ap-1201	63	18	,	,	PUNCT
ap-1201	63	19	k	k	NOUN
ap-1201	63	20	)	)	PUNCT
ap-1201	63	21	only	only	ADV
ap-1201	63	22	if	if	SCONJ
ap-1201	63	23	their	their	PRON
ap-1201	63	24	linear	linear	ADJ
ap-1201	63	25	combinations	combination	NOUN
ap-1201	63	26	and	and	CCONJ
ap-1201	63	27	commutators	commutator	NOUN
ap-1201	63	28	are	be	AUX
ap-1201	63	29	also	also	ADV
ap-1201	63	30	esa	esa	PROPN
ap-1201	63	31	on	on	ADP
ap-1201	63	32	d.	d.	PROPN
ap-1201	63	33	collecting	collect	VERB
ap-1201	63	34	the	the	DET
ap-1201	63	35	result	result	NOUN
ap-1201	63	36	we	we	PRON
ap-1201	63	37	have	have	VERB
ap-1201	63	38	:	:	PUNCT
ap-1201	63	39	•	•	ADJ
ap-1201	63	40	quantum	quantum	NOUN
ap-1201	63	41	maps	map	NOUN
ap-1201	63	42	q	q	NOUN
ap-1201	63	43	of	of	ADP
ap-1201	63	44	position	position	NOUN
ap-1201	63	45	observable	observable	ADJ
ap-1201	63	46	f	f	PROPN
ap-1201	63	47	∈	∈	PROPN
ap-1201	63	48	c∞(m	c∞(m	NOUN
ap-1201	63	49	)	)	PUNCT
ap-1201	63	50	lead	lead	NOUN
ap-1201	63	51	to	to	ADP
ap-1201	63	52	q(f	q(f	PROPN
ap-1201	63	53	)	)	PUNCT
ap-1201	63	54	which	which	PRON
ap-1201	63	55	act	act	VERB
ap-1201	63	56	as	as	ADP
ap-1201	63	57	multiplication	multiplication	NOUN
ap-1201	63	58	operators	operator	NOUN
ap-1201	63	59	in	in	ADP
ap-1201	63	60	l2(m	l2(m	PROPN
ap-1201	63	61	,	,	PUNCT
ap-1201	63	62	ν	ν	NOUN
ap-1201	63	63	)	)	PUNCT
ap-1201	63	64	.	.	PUNCT
ap-1201	64	1	this	this	PRON
ap-1201	64	2	allows	allow	VERB
ap-1201	64	3	to	to	PART
ap-1201	64	4	view	view	VERB
ap-1201	64	5	k(m	k(m	PROPN
ap-1201	64	6	)	)	PUNCT
ap-1201	64	7	as	as	ADP
ap-1201	64	8	global	global	ADJ
ap-1201	64	9	infinite	infinite	ADJ
ap-1201	64	10	dimensional	dimensional	ADJ
ap-1201	64	11	lie	lie	NOUN
ap-1201	64	12	-	-	PUNCT
ap-1201	64	13	algebraic	algebraic	ADJ
ap-1201	64	14	symmetry	symmetry	NOUN
ap-1201	64	15	of	of	ADP
ap-1201	64	16	the	the	DET
ap-1201	64	17	system	system	NOUN
ap-1201	64	18	which	which	PRON
ap-1201	64	19	is	be	AUX
ap-1201	64	20	assumed	assume	VERB
ap-1201	64	21	to	to	PART
ap-1201	64	22	survive	survive	VERB
ap-1201	64	23	the	the	DET
ap-1201	64	24	quantum	quantum	NOUN
ap-1201	64	25	map	map	NOUN
ap-1201	64	26	.	.	PUNCT
ap-1201	65	1	3.2.2	3.2.2	NUM
ap-1201	65	2	quantizations	quantization	NOUN
ap-1201	65	3	of	of	ADP
ap-1201	65	4	v	v	NOUN
ap-1201	65	5	ect0(m	ect0(m	NOUN
ap-1201	65	6	)	)	PUNCT
ap-1201	65	7	momentum	momentum	NOUN
ap-1201	65	8	observables	observable	NOUN
ap-1201	65	9	in	in	ADP
ap-1201	65	10	k(m	k(m	PROPN
ap-1201	65	11	)	)	PUNCT
ap-1201	65	12	are	be	AUX
ap-1201	65	13	introduced	introduce	VERB
ap-1201	65	14	as	as	ADP
ap-1201	65	15	flow	flow	NOUN
ap-1201	65	16	generators	generator	NOUN
ap-1201	65	17	x	x	PUNCT
ap-1201	65	18	∈	∈	PROPN
ap-1201	65	19	v	v	NOUN
ap-1201	65	20	ect0(m	ect0(m	NOUN
ap-1201	65	21	)	)	PUNCT
ap-1201	65	22	of	of	ADP
ap-1201	65	23	φx	φx	PROPN
ap-1201	65	24	.	.	PUNCT
ap-1201	66	1	following	follow	VERB
ap-1201	66	2	our	our	PRON
ap-1201	66	3	above	above	ADJ
ap-1201	66	4	arguments	argument	NOUN
ap-1201	66	5	their	their	PRON
ap-1201	66	6	quantum	quantum	NOUN
ap-1201	66	7	map	map	NOUN
ap-1201	66	8	p	p	NOUN
ap-1201	66	9	should	should	AUX
ap-1201	66	10	again	again	ADV
ap-1201	66	11	be	be	AUX
ap-1201	66	12	based	base	VERB
ap-1201	66	13	on	on	ADP
ap-1201	66	14	the	the	DET
ap-1201	66	15	geometrical	geometrical	ADJ
ap-1201	66	16	roots	root	NOUN
ap-1201	66	17	and	and	CCONJ
ap-1201	66	18	must	must	AUX
ap-1201	66	19	respect	respect	VERB
ap-1201	66	20	the	the	DET
ap-1201	66	21	consistency	consistency	NOUN
ap-1201	66	22	with	with	ADP
ap-1201	66	23	q(f	q(f	PROPN
ap-1201	66	24	)	)	PUNCT
ap-1201	66	25	in	in	ADP
ap-1201	66	26	(	(	PUNCT
ap-1201	66	27	10	10	NUM
ap-1201	66	28	)	)	PUNCT
ap-1201	66	29	.	.	PUNCT
ap-1201	67	1	i.	i.	PROPN
ap-1201	68	1	the	the	DET
ap-1201	68	2	observable	observable	ADJ
ap-1201	68	3	x	x	NOUN
ap-1201	68	4	act	act	VERB
ap-1201	68	5	in	in	ADP
ap-1201	68	6	our	our	PRON
ap-1201	68	7	flow	flow	NOUN
ap-1201	68	8	model	model	NOUN
ap-1201	68	9	as	as	ADP
ap-1201	68	10	differential	differential	ADJ
ap-1201	68	11	operators	operator	NOUN
ap-1201	68	12	on	on	ADP
ap-1201	68	13	position	position	NOUN
ap-1201	68	14	observables	observable	NOUN
ap-1201	68	15	in	in	ADP
ap-1201	68	16	c∞(m	c∞(m	NOUN
ap-1201	68	17	)	)	PUNCT
ap-1201	68	18	.	.	PUNCT
ap-1201	69	1	hence	hence	ADV
ap-1201	69	2	it	it	PRON
ap-1201	69	3	is	be	AUX
ap-1201	69	4	plausible	plausible	ADJ
ap-1201	69	5	to	to	PART
ap-1201	69	6	assume	assume	VERB
ap-1201	69	7	that	that	SCONJ
ap-1201	69	8	also	also	ADV
ap-1201	69	9	p(x	p(x	VERB
ap-1201	69	10	)	)	PUNCT
ap-1201	69	11	∈	∈	PROPN
ap-1201	69	12	sa(l2	sa(l2	NOUN
ap-1201	69	13	(	(	PUNCT
ap-1201	69	14	.	.	PUNCT
ap-1201	69	15	)	)	PUNCT
ap-1201	69	16	)	)	PUNCT
ap-1201	70	1	is	be	AUX
ap-1201	70	2	a	a	DET
ap-1201	70	3	finite	finite	ADJ
ap-1201	70	4	order	order	NOUN
ap-1201	70	5	differential	differential	NOUN
ap-1201	70	6	operator	operator	NOUN
ap-1201	70	7	on	on	ADP
ap-1201	70	8	l2(m	l2(m	PROPN
ap-1201	70	9	,	,	PUNCT
ap-1201	70	10	ν	ν	NOUN
ap-1201	70	11	)	)	PUNCT
ap-1201	70	12	.	.	PUNCT
ap-1201	71	1	however	however	ADV
ap-1201	71	2	,	,	PUNCT
ap-1201	71	3	a	a	DET
ap-1201	71	4	realization	realization	NOUN
ap-1201	71	5	of	of	ADP
ap-1201	71	6	this	this	DET
ap-1201	71	7	assumption	assumption	NOUN
ap-1201	71	8	is	be	AUX
ap-1201	71	9	difficult	difficult	ADJ
ap-1201	71	10	.	.	PUNCT
ap-1201	72	1	this	this	PRON
ap-1201	72	2	is	be	AUX
ap-1201	72	3	because	because	SCONJ
ap-1201	72	4	a	a	DET
ap-1201	72	5	definition	definition	NOUN
ap-1201	72	6	of	of	ADP
ap-1201	72	7	differential	differential	ADJ
ap-1201	72	8	operators	operator	NOUN
ap-1201	72	9	in	in	ADP
ap-1201	72	10	l2(m	l2(m	PROPN
ap-1201	72	11	,	,	PUNCT
ap-1201	72	12	ν	ν	NOUN
ap-1201	72	13	)	)	PUNCT
ap-1201	72	14	needs	need	VERB
ap-1201	72	15	a	a	DET
ap-1201	72	16	notion	notion	NOUN
ap-1201	72	17	of	of	ADP
ap-1201	72	18	the	the	DET
ap-1201	72	19	differentiation	differentiation	NOUN
ap-1201	72	20	of	of	ADP
ap-1201	72	21	complex	complex	ADJ
ap-1201	72	22	functions	function	NOUN
ap-1201	72	23	ψ(m	ψ(m	NOUN
ap-1201	72	24	)	)	PUNCT
ap-1201	72	25	on	on	ADP
ap-1201	72	26	a	a	DET
ap-1201	72	27	smooth	smooth	ADJ
ap-1201	72	28	manifold	manifold	NOUN
ap-1201	72	29	m	m	VERB
ap-1201	72	30	which	which	PRON
ap-1201	72	31	are	be	AUX
ap-1201	72	32	square	square	ADJ
ap-1201	72	33	integrable	integrable	ADJ
ap-1201	72	34	in	in	ADP
ap-1201	72	35	respect	respect	NOUN
ap-1201	72	36	to	to	ADP
ap-1201	72	37	the	the	DET
ap-1201	72	38	measure	measure	NOUN
ap-1201	72	39	ν	ν	NOUN
ap-1201	72	40	.	.	PUNCT
ap-1201	73	1	this	this	DET
ap-1201	73	2	measure	measure	NOUN
ap-1201	73	3	theoretic	theoretic	ADJ
ap-1201	73	4	property	property	NOUN
ap-1201	73	5	contains	contain	VERB
ap-1201	73	6	no	no	DET
ap-1201	73	7	information	information	NOUN
ap-1201	73	8	on	on	ADP
ap-1201	73	9	their	their	PRON
ap-1201	73	10	differentiability	differentiability	NOUN
ap-1201	73	11	.	.	PUNCT
ap-1201	74	1	hence	hence	ADV
ap-1201	74	2	additional	additional	ADJ
ap-1201	74	3	assumptions	assumption	NOUN
ap-1201	74	4	are	be	AUX
ap-1201	74	5	necessary	necessary	ADJ
ap-1201	74	6	to	to	PART
ap-1201	74	7	realize	realize	VERB
ap-1201	74	8	momentum	momentum	NOUN
ap-1201	74	9	operators	operator	NOUN
ap-1201	74	10	p(x	p(x	VERB
ap-1201	74	11	)	)	PUNCT
ap-1201	74	12	as	as	ADP
ap-1201	74	13	pdo	pdo	PROPN
ap-1201	74	14	’s	’s	PART
ap-1201	74	15	.	.	PUNCT
ap-1201	75	1	to	to	PART
ap-1201	75	2	formulate	formulate	VERB
ap-1201	75	3	such	such	ADJ
ap-1201	75	4	assumptions	assumption	NOUN
ap-1201	75	5	we	we	PRON
ap-1201	75	6	note	note	VERB
ap-1201	75	7	that	that	SCONJ
ap-1201	75	8	differentiation	differentiation	NOUN
ap-1201	75	9	on	on	ADP
ap-1201	75	10	a	a	DET
ap-1201	75	11	smooth	smooth	ADJ
ap-1201	75	12	manifold	manifold	NOUN
ap-1201	75	13	m	m	VERB
ap-1201	75	14	is	be	AUX
ap-1201	75	15	given	give	VERB
ap-1201	75	16	through	through	ADP
ap-1201	75	17	its	its	PRON
ap-1201	75	18	definition	definition	NOUN
ap-1201	75	19	,	,	PUNCT
ap-1201	75	20	and	and	CCONJ
ap-1201	75	21	differentiation	differentiation	NOUN
ap-1201	75	22	on	on	ADP
ap-1201	75	23	the	the	DET
ap-1201	75	24	complex	complex	ADJ
ap-1201	75	25	plane	plane	NOUN
ap-1201	75	26	c	c	NOUN
ap-1201	75	27	is	be	AUX
ap-1201	75	28	a	a	DET
ap-1201	75	29	standard	standard	ADJ
ap-1201	75	30	notion	notion	NOUN
ap-1201	75	31	.	.	PUNCT
ap-1201	76	1	this	this	PRON
ap-1201	76	2	implies	imply	VERB
ap-1201	76	3	technically	technically	ADV
ap-1201	76	4	the	the	DET
ap-1201	76	5	existence	existence	NOUN
ap-1201	76	6	of	of	ADP
ap-1201	76	7	differential	differential	ADJ
ap-1201	76	8	structures	structure	NOUN
ap-1201	76	9	-d(m	-d(m	PROPN
ap-1201	76	10	)	)	PUNCT
ap-1201	76	11	on	on	ADP
ap-1201	76	12	m	m	PROPN
ap-1201	76	13	and	and	CCONJ
ap-1201	76	14	-d(c	-d(c	PROPN
ap-1201	76	15	)	)	PUNCT
ap-1201	76	16	on	on	ADP
ap-1201	76	17	c.	c.	NOUN
ap-1201	76	18	for	for	ADP
ap-1201	76	19	the	the	DET
ap-1201	76	20	differentiation	differentiation	NOUN
ap-1201	76	21	of	of	ADP
ap-1201	76	22	complex	complex	ADJ
ap-1201	76	23	functions	function	NOUN
ap-1201	76	24	onm	onm	NOUN
ap-1201	76	25	in	in	ADP
ap-1201	76	26	l2(m	l2(m	PROPN
ap-1201	76	27	,	,	PUNCT
ap-1201	76	28	ν	ν	NOUN
ap-1201	76	29	)	)	PUNCT
ap-1201	76	30	we	we	PRON
ap-1201	76	31	need	need	VERB
ap-1201	76	32	technically	technically	ADV
ap-1201	76	33	a	a	DET
ap-1201	76	34	differential	differential	ADJ
ap-1201	76	35	structure	structure	NOUN
ap-1201	76	36	-d(m	-d(m	PROPN
ap-1201	76	37	×c	×c	X
ap-1201	76	38	)	)	PUNCT
ap-1201	76	39	on	on	ADP
ap-1201	76	40	the	the	DET
ap-1201	76	41	point	point	NOUN
ap-1201	76	42	set	set	VERB
ap-1201	76	43	m	m	VERB
ap-1201	76	44	×c	×c	PRON
ap-1201	76	45	with	with	ADP
ap-1201	76	46	the	the	DET
ap-1201	76	47	restrictions	restriction	NOUN
ap-1201	76	48	-d(m×c)/m	-d(m×c)/m	NOUN
ap-1201	76	49	=	=	SYM
ap-1201	76	50	-d(m	-d(m	PROPN
ap-1201	76	51	)	)	PUNCT
ap-1201	76	52	,	,	PUNCT
ap-1201	76	53	-d(m×c)/c	-d(m×c)/c	NOUN
ap-1201	76	54	=	=	SYM
ap-1201	76	55	-d(c	-d(c	PROPN
ap-1201	76	56	)	)	PUNCT
ap-1201	76	57	.	.	PUNCT
ap-1201	77	1	(	(	PUNCT
ap-1201	77	2	11	11	NUM
ap-1201	77	3	)	)	PUNCT
ap-1201	77	4	without	without	ADP
ap-1201	77	5	going	go	VERB
ap-1201	77	6	into	into	ADP
ap-1201	77	7	mathematical	mathematical	ADJ
ap-1201	77	8	details	detail	NOUN
ap-1201	77	9	,	,	PUNCT
ap-1201	77	10	including	include	VERB
ap-1201	77	11	the	the	DET
ap-1201	77	12	definition	definition	NOUN
ap-1201	77	13	of	of	ADP
ap-1201	77	14	-d	-d	PRON
ap-1201	77	15	and	and	CCONJ
ap-1201	77	16	interesting	interesting	ADJ
ap-1201	77	17	applications	application	NOUN
ap-1201	77	18	,	,	PUNCT
ap-1201	77	19	we	we	PRON
ap-1201	77	20	need	need	VERB
ap-1201	77	21	for	for	ADP
ap-1201	77	22	p	p	PROPN
ap-1201	77	23	some	some	DET
ap-1201	77	24	results	result	NOUN
ap-1201	77	25	on	on	ADP
ap-1201	77	26	differential	differential	ADJ
ap-1201	77	27	structures	structure	NOUN
ap-1201	77	28	with	with	ADP
ap-1201	77	29	(	(	PUNCT
ap-1201	77	30	11	11	NUM
ap-1201	77	31	)	)	PUNCT
ap-1201	77	32	.	.	PUNCT
ap-1201	78	1	a	a	DET
ap-1201	78	2	possibility	possibility	NOUN
ap-1201	78	3	is	be	AUX
ap-1201	78	4	to	to	PART
ap-1201	78	5	look	look	VERB
ap-1201	78	6	on	on	ADP
ap-1201	78	7	complex	complex	ADJ
ap-1201	78	8	line	line	NOUN
ap-1201	78	9	bundles	bundle	NOUN
ap-1201	78	10	η	η	PROPN
ap-1201	78	11	overm	overm	NOUN
ap-1201	78	12	with	with	ADP
ap-1201	78	13	hermitean	hermitean	PROPN
ap-1201	78	14	metric	metric	ADJ
ap-1201	78	15	<	<	X
ap-1201	78	16	,	,	PUNCT
ap-1201	78	17	>	>	PUNCT
ap-1201	78	18	.	.	PUNCT
ap-1201	79	1	this	this	PRON
ap-1201	79	2	is	be	AUX
ap-1201	79	3	because	because	SCONJ
ap-1201	79	4	there	there	PRON
ap-1201	79	5	exists	exist	VERB
ap-1201	79	6	with	with	ADP
ap-1201	79	7	η	η	PROPN
ap-1201	79	8	an	an	DET
ap-1201	79	9	isometrically	isometrically	PROPN
ap-1201	79	10	isomorphic	isomorphic	ADJ
ap-1201	79	11	complex	complex	ADJ
ap-1201	79	12	line	line	NOUN
ap-1201	79	13	bundle	bundle	NOUN
ap-1201	79	14	η0	η0	NOUN
ap-1201	79	15	with	with	ADP
ap-1201	79	16	hermitean	hermitean	PROPN
ap-1201	79	17	metric	metric	ADJ
ap-1201	79	18	<	<	X
ap-1201	79	19	,	,	PUNCT
ap-1201	79	20	>	>	PUNCT
ap-1201	79	21	0	0	NUM
ap-1201	79	22	and	and	CCONJ
ap-1201	79	23	a	a	DET
ap-1201	79	24	differentiable	differentiable	ADJ
ap-1201	79	25	structure	structure	NOUN
ap-1201	79	26	-d(m	-d(m	PROPN
ap-1201	79	27	×	×	PROPN
ap-1201	79	28	c	c	NOUN
ap-1201	79	29	)	)	PUNCT
ap-1201	79	30	with	with	ADP
ap-1201	79	31	(	(	PUNCT
ap-1201	79	32	11	11	NUM
ap-1201	79	33	)	)	PUNCT
ap-1201	79	34	.	.	PUNCT
ap-1201	80	1	hence	hence	ADV
ap-1201	80	2	we	we	PRON
ap-1201	80	3	are	be	AUX
ap-1201	80	4	interested	interested	ADJ
ap-1201	80	5	in	in	ADP
ap-1201	80	6	complex	complex	ADJ
ap-1201	80	7	line	line	NOUN
ap-1201	80	8	bundles	bundle	NOUN
ap-1201	80	9	with	with	ADP
ap-1201	80	10	metric	metric	ADJ
ap-1201	80	11	<	<	X
ap-1201	80	12	,	,	PUNCT
ap-1201	80	13	>	>	X
ap-1201	80	14	with	with	ADP
ap-1201	80	15	hermitean	hermitean	ADJ
ap-1201	80	16	connection	connection	NOUN
ap-1201	80	17	∇	∇	NOUN
ap-1201	80	18	and	and	CCONJ
ap-1201	80	19	in	in	ADP
ap-1201	80	20	their	their	PRON
ap-1201	80	21	classification	classification	NOUN
ap-1201	80	22	up	up	ADP
ap-1201	80	23	to	to	ADP
ap-1201	80	24	equivalence	equivalence	NOUN
ap-1201	80	25	.	.	PUNCT
ap-1201	81	1	this	this	PRON
ap-1201	81	2	is	be	AUX
ap-1201	81	3	well	well	ADV
ap-1201	81	4	known	know	VERB
ap-1201	81	5	,	,	PUNCT
ap-1201	81	6	we	we	PRON
ap-1201	81	7	refer	refer	VERB
ap-1201	81	8	e.g.	e.g.	ADV
ap-1201	81	9	to	to	ADP
ap-1201	81	10	[	[	X
ap-1201	81	11	12	12	NUM
ap-1201	81	12	,	,	PUNCT
ap-1201	81	13	13	13	NUM
ap-1201	81	14	]	]	PUNCT
ap-1201	81	15	.	.	PUNCT
ap-1201	82	1	because	because	SCONJ
ap-1201	82	2	we	we	PRON
ap-1201	82	3	are	be	AUX
ap-1201	82	4	dealing	deal	VERB
ap-1201	82	5	with	with	ADP
ap-1201	82	6	a	a	DET
ap-1201	82	7	system	system	NOUN
ap-1201	82	8	without	without	ADP
ap-1201	82	9	external	external	ADJ
ap-1201	82	10	fields	field	NOUN
ap-1201	82	11	the	the	DET
ap-1201	82	12	connection	connection	NOUN
ap-1201	82	13	is	be	AUX
ap-1201	82	14	flat	flat	ADJ
ap-1201	82	15	.	.	PUNCT
ap-1201	83	1	the	the	DET
ap-1201	83	2	inequivalent	inequivalent	NOUN
ap-1201	83	3	line	line	NOUN
ap-1201	83	4	bundles	bundle	NOUN
ap-1201	83	5	with	with	ADP
ap-1201	83	6	flat	flat	ADJ
ap-1201	83	7	connection	connection	NOUN
ap-1201	83	8	are	be	AUX
ap-1201	83	9	labelled	label	VERB
ap-1201	83	10	by	by	ADP
ap-1201	83	11	the	the	DET
ap-1201	83	12	character	character	NOUN
ap-1201	83	13	group	group	NOUN
ap-1201	83	14	π∗	π∗	PROPN
ap-1201	83	15	1(m	1(m	NUM
ap-1201	83	16	)	)	PUNCT
ap-1201	83	17	of	of	ADP
ap-1201	83	18	the	the	DET
ap-1201	83	19	fundamental	fundamental	ADJ
ap-1201	83	20	group	group	NOUN
ap-1201	83	21	of	of	ADP
ap-1201	83	22	m	m	PROPN
ap-1201	83	23	.	.	PUNCT
ap-1201	84	1	we	we	PRON
ap-1201	84	2	have	have	VERB
ap-1201	84	3	to	to	PART
ap-1201	84	4	relate	relate	VERB
ap-1201	84	5	the	the	DET
ap-1201	84	6	sections	section	NOUN
ap-1201	84	7	σ	σ	NOUN
ap-1201	84	8	of	of	ADP
ap-1201	84	9	a	a	DET
ap-1201	84	10	line	line	NOUN
ap-1201	84	11	bundle	bundle	NOUN
ap-1201	84	12	η	η	PROPN
ap-1201	84	13	with	with	ADP
ap-1201	84	14	the	the	DET
ap-1201	84	15	elements	element	NOUN
ap-1201	84	16	ψ	ψ	X
ap-1201	84	17	of	of	ADP
ap-1201	84	18	l2(m	l2(m	PROPN
ap-1201	84	19	,	,	PUNCT
ap-1201	84	20	ν	ν	NOUN
ap-1201	84	21	)	)	PUNCT
ap-1201	84	22	.	.	PUNCT
ap-1201	85	1	the	the	DET
ap-1201	85	2	sections	section	NOUN
ap-1201	85	3	σ	σ	PROPN
ap-1201	85	4	in	in	ADP
ap-1201	85	5	η	η	PROPN
ap-1201	85	6	form	form	NOUN
ap-1201	85	7	a	a	DET
ap-1201	85	8	complex	complex	ADJ
ap-1201	85	9	vectorspace	vectorspace	NOUN
ap-1201	85	10	and	and	CCONJ
ap-1201	85	11	,	,	PUNCT
ap-1201	85	12	together	together	ADV
ap-1201	85	13	with	with	ADP
ap-1201	85	14	ν	ν	NOUN
ap-1201	85	15	and	and	CCONJ
ap-1201	85	16	<	<	X
ap-1201	85	17	,	,	PUNCT
ap-1201	85	18	>	>	X
ap-1201	85	19	,	,	PUNCT
ap-1201	85	20	the	the	DET
ap-1201	85	21	‘	'	PUNCT
ap-1201	85	22	square	square	ADJ
ap-1201	85	23	’	'	PUNCT
ap-1201	85	24	integrable	integrable	ADJ
ap-1201	85	25	ones	one	NOUN
ap-1201	85	26	form	form	VERB
ap-1201	85	27	a	a	DET
ap-1201	85	28	hilbert	hilbert	NOUN
ap-1201	85	29	space	space	NOUN
ap-1201	85	30	l2(η	l2(η	PROPN
ap-1201	85	31	,	,	PUNCT
ap-1201	85	32	<	<	X
ap-1201	85	33	,	,	PUNCT
ap-1201	85	34	>	>	X
ap-1201	85	35	,	,	PUNCT
ap-1201	85	36	ν	ν	NOUN
ap-1201	85	37	)	)	PUNCT
ap-1201	85	38	.	.	PUNCT
ap-1201	86	1	a	a	DET
ap-1201	86	2	dense	dense	ADJ
ap-1201	86	3	domain	domain	NOUN
ap-1201	86	4	of	of	ADP
ap-1201	86	5	smooth	smooth	ADJ
ap-1201	86	6	sections	section	NOUN
ap-1201	86	7	in	in	ADP
ap-1201	86	8	η	η	PROPN
ap-1201	86	9	can	can	AUX
ap-1201	86	10	be	be	AUX
ap-1201	86	11	embedded	embed	VERB
ap-1201	86	12	in	in	ADP
ap-1201	86	13	a	a	DET
ap-1201	86	14	dense	dense	ADJ
ap-1201	86	15	domain	domain	NOUN
ap-1201	86	16	d	d	NOUN
ap-1201	86	17	in	in	ADP
ap-1201	86	18	l2(m	l2(m	PROPN
ap-1201	86	19	,	,	PUNCT
ap-1201	86	20	ν	ν	NOUN
ap-1201	86	21	)	)	PUNCT
ap-1201	86	22	.	.	PUNCT
ap-1201	87	1	hence	hence	ADV
ap-1201	87	2	we	we	PRON
ap-1201	87	3	use	use	VERB
ap-1201	87	4	this	this	DET
ap-1201	87	5	domain	domain	NOUN
ap-1201	87	6	d	d	NOUN
ap-1201	87	7	to	to	PART
ap-1201	87	8	define	define	VERB
ap-1201	87	9	differential	differential	ADJ
ap-1201	87	10	operators	operator	NOUN
ap-1201	87	11	.	.	PUNCT
ap-1201	88	1	in	in	ADP
ap-1201	88	2	general	general	ADJ
ap-1201	88	3	there	there	PRON
ap-1201	88	4	are	be	VERB
ap-1201	88	5	a	a	DET
ap-1201	88	6	large	large	ADJ
ap-1201	88	7	number	number	NOUN
ap-1201	88	8	of	of	ADP
ap-1201	88	9	nonequivalent	nonequivalent	ADJ
ap-1201	88	10	differentiable	differentiable	ADJ
ap-1201	88	11	structures	structure	NOUN
ap-1201	88	12	on	on	ADP
ap-1201	88	13	m	m	PROPN
ap-1201	88	14	×	×	NOUN
ap-1201	88	15	c	c	NOUN
ap-1201	88	16	which	which	PRON
ap-1201	88	17	lead	lead	VERB
ap-1201	88	18	to	to	ADP
ap-1201	88	19	different	different	ADJ
ap-1201	88	20	dense	dense	ADJ
ap-1201	88	21	domains	domain	NOUN
ap-1201	88	22	in	in	ADP
ap-1201	88	23	l2(m	l2(m	PROPN
ap-1201	88	24	,	,	PUNCT
ap-1201	88	25	ν	ν	NOUN
ap-1201	88	26	)	)	PUNCT
ap-1201	88	27	.	.	PUNCT
ap-1201	89	1	hence	hence	ADV
ap-1201	89	2	one	one	PRON
ap-1201	89	3	can	can	AUX
ap-1201	89	4	view	view	VERB
ap-1201	89	5	the	the	DET
ap-1201	89	6	definition	definition	NOUN
ap-1201	89	7	of	of	ADP
ap-1201	89	8	differential	differential	ADJ
ap-1201	89	9	operators	operator	NOUN
ap-1201	89	10	with	with	ADP
ap-1201	89	11	a	a	DET
ap-1201	89	12	domain	domain	NOUN
ap-1201	89	13	problem	problem	NOUN
ap-1201	89	14	.	.	PUNCT
ap-1201	90	1	ii	ii	PROPN
ap-1201	90	2	.	.	PUNCT
ap-1201	91	1	in	in	ADP
ap-1201	91	2	part	part	NOUN
ap-1201	91	3	i.	i.	NOUN
ap-1201	91	4	,	,	PUNCT
ap-1201	91	5	we	we	PRON
ap-1201	91	6	explained	explain	VERB
ap-1201	91	7	how	how	SCONJ
ap-1201	91	8	to	to	PART
ap-1201	91	9	introduce	introduce	VERB
ap-1201	91	10	a	a	DET
ap-1201	91	11	differential	differential	ADJ
ap-1201	91	12	structure	structure	NOUN
ap-1201	91	13	.	.	PUNCT
ap-1201	92	1	now	now	ADV
ap-1201	92	2	we	we	PRON
ap-1201	92	3	refer	refer	VERB
ap-1201	92	4	again	again	ADV
ap-1201	92	5	to	to	ADP
ap-1201	92	6	the	the	DET
ap-1201	92	7	geometrical	geometrical	ADJ
ap-1201	92	8	roots	root	NOUN
ap-1201	92	9	to	to	PART
ap-1201	92	10	argue	argue	VERB
ap-1201	92	11	that	that	SCONJ
ap-1201	92	12	our	our	PRON
ap-1201	92	13	differential	differential	ADJ
ap-1201	92	14	operators	operator	NOUN
ap-1201	92	15	are	be	AUX
ap-1201	92	16	of	of	ADP
ap-1201	92	17	finite	finite	ADJ
ap-1201	92	18	order	order	NOUN
ap-1201	92	19	.	.	PUNCT
ap-1201	93	1	classical	classical	ADJ
ap-1201	93	2	generators	generator	NOUN
ap-1201	93	3	x	x	PUNCT
ap-1201	93	4	of	of	ADP
ap-1201	93	5	with	with	ADP
ap-1201	93	6	support	support	NOUN
ap-1201	93	7	supp(x	supp(x	PROPN
ap-1201	93	8	)	)	PUNCT
ap-1201	93	9	moves	move	NOUN
ap-1201	93	10	with	with	ADP
ap-1201	93	11	φx	φx	PROPN
ap-1201	93	12	the	the	DET
ap-1201	93	13	characteristic	characteristic	ADJ
ap-1201	93	14	function	function	NOUN
ap-1201	93	15	χ(b	χ(b	NOUN
ap-1201	93	16	)	)	PUNCT
ap-1201	93	17	resp	resp	NOUN
ap-1201	93	18	.	.	PUNCT
ap-1201	94	1	the	the	DET
ap-1201	94	2	support	support	NOUN
ap-1201	94	3	of	of	ADP
ap-1201	94	4	f	f	PROPN
ap-1201	94	5	.	.	PUNCT
ap-1201	95	1	after	after	ADP
ap-1201	95	2	quantization	quantization	NOUN
ap-1201	95	3	the	the	DET
ap-1201	95	4	situation	situation	NOUN
ap-1201	95	5	should	should	AUX
ap-1201	95	6	be	be	AUX
ap-1201	95	7	analogous	analogous	ADJ
ap-1201	95	8	.	.	PUNCT
ap-1201	96	1	this	this	PRON
ap-1201	96	2	motivates	motivate	VERB
ap-1201	96	3	a	a	DET
ap-1201	96	4	locality	locality	NOUN
ap-1201	96	5	condition	condition	NOUN
ap-1201	96	6	for	for	ADP
ap-1201	96	7	p(x	p(x	NOUN
ap-1201	96	8	)	)	PUNCT
ap-1201	96	9	supp(p(x)ψ	supp(p(x)ψ	NOUN
ap-1201	96	10	)	)	PUNCT
ap-1201	97	1	⊆	⊆	NUM
ap-1201	97	2	supp(ψ	supp(ψ	NOUN
ap-1201	97	3	)	)	PUNCT
ap-1201	97	4	,	,	PUNCT
ap-1201	97	5	ψ	ψ	VERB
ap-1201	97	6	∈	∈	PROPN
ap-1201	97	7	l2(m	l2(m	NOUN
ap-1201	97	8	,	,	PUNCT
ap-1201	97	9	ν	ν	NOUN
ap-1201	97	10	)	)	PUNCT
ap-1201	97	11	.	.	PUNCT
ap-1201	98	1	(	(	PUNCT
ap-1201	98	2	12	12	NUM
ap-1201	98	3	)	)	PUNCT
ap-1201	98	4	with	with	ADP
ap-1201	98	5	peetre	peetre	NOUN
ap-1201	98	6	’s	’s	PART
ap-1201	98	7	theorem	theorem	NOUN
ap-1201	98	8	[	[	X
ap-1201	98	9	14	14	NUM
ap-1201	98	10	]	]	PUNCT
ap-1201	98	11	this	this	DET
ap-1201	98	12	locality	locality	NOUN
ap-1201	98	13	condition	condition	NOUN
ap-1201	98	14	and	and	CCONJ
ap-1201	98	15	a	a	DET
ap-1201	98	16	differentiable	differentiable	ADJ
ap-1201	98	17	structure	structure	NOUN
ap-1201	98	18	-d(m	-d(m	PROPN
ap-1201	98	19	×	×	PROPN
ap-1201	98	20	c	c	NOUN
ap-1201	98	21	)	)	PUNCT
ap-1201	98	22	yields	yield	NOUN
ap-1201	98	23	for	for	ADP
ap-1201	98	24	p(x	p(x	NOUN
ap-1201	98	25	)	)	PUNCT
ap-1201	98	26	differential	differential	NOUN
ap-1201	98	27	operators	operator	NOUN
ap-1201	98	28	of	of	ADP
ap-1201	98	29	finite	finite	ADJ
ap-1201	98	30	order	order	NOUN
ap-1201	98	31	.	.	PUNCT
ap-1201	99	1	collecting	collect	VERB
ap-1201	99	2	the	the	DET
ap-1201	99	3	results	result	NOUN
ap-1201	99	4	we	we	PRON
ap-1201	99	5	have	have	VERB
ap-1201	99	6	:	:	PUNCT
ap-1201	99	7	•	•	ADP
ap-1201	99	8	the	the	DET
ap-1201	99	9	quantum	quantum	NOUN
ap-1201	99	10	map	map	NOUN
ap-1201	99	11	p	p	NOUN
ap-1201	99	12	of	of	ADP
ap-1201	99	13	momentum	momentum	NOUN
ap-1201	99	14	observablex	observablex	NOUN
ap-1201	99	15	leads	lead	VERB
ap-1201	99	16	to	to	ADP
ap-1201	99	17	differential	differential	VERB
ap-1201	99	18	operators	operator	NOUN
ap-1201	99	19	of	of	ADP
ap-1201	99	20	finite	finite	ADJ
ap-1201	99	21	order	order	NOUN
ap-1201	99	22	on	on	ADP
ap-1201	99	23	a	a	DET
ap-1201	99	24	domain	domain	NOUN
ap-1201	99	25	in	in	ADP
ap-1201	99	26	l2(m	l2(m	PROPN
ap-1201	99	27	,	,	PUNCT
ap-1201	99	28	ν	ν	NOUN
ap-1201	99	29	)	)	PUNCT
ap-1201	99	30	which	which	PRON
ap-1201	99	31	is	be	AUX
ap-1201	99	32	embedded	embed	VERB
ap-1201	99	33	on	on	ADP
ap-1201	99	34	a	a	DET
ap-1201	99	35	domain	domain	NOUN
ap-1201	99	36	in	in	ADP
ap-1201	99	37	l2(η	l2(η	PROPN
ap-1201	99	38	,	,	PUNCT
ap-1201	99	39	<	<	X
ap-1201	99	40	,	,	PUNCT
ap-1201	99	41	>	>	X
ap-1201	99	42	,	,	PUNCT
ap-1201	99	43	ν	ν	NOUN
ap-1201	99	44	)	)	PUNCT
ap-1201	99	45	spanned	span	VERB
ap-1201	99	46	by	by	ADP
ap-1201	99	47	square	square	ADJ
ap-1201	99	48	integrable	integrable	ADJ
ap-1201	99	49	sections	section	NOUN
ap-1201	99	50	of	of	ADP
ap-1201	99	51	a	a	DET
ap-1201	99	52	complex	complex	ADJ
ap-1201	99	53	line	line	NOUN
ap-1201	99	54	bundle	bundle	NOUN
ap-1201	99	55	η	η	PROPN
ap-1201	99	56	onm	onm	NOUN
ap-1201	99	57	with	with	ADP
ap-1201	99	58	a	a	DET
ap-1201	99	59	hermitean	hermitean	ADJ
ap-1201	99	60	metric	metric	NOUN
ap-1201	99	61	and	and	CCONJ
ap-1201	99	62	a	a	DET
ap-1201	99	63	flat	flat	ADJ
ap-1201	99	64	hermitean	hermitean	NOUN
ap-1201	99	65	connection	connection	NOUN
ap-1201	99	66	.	.	PUNCT
ap-1201	100	1	3.2.3	3.2.3	NUM
ap-1201	100	2	quantizations	quantization	NOUN
ap-1201	100	3	of	of	ADP
ap-1201	100	4	the	the	DET
ap-1201	100	5	borel	borel	PROPN
ap-1201	100	6	kinematic	kinematic	PROPN
ap-1201	100	7	k(m	k(m	PROPN
ap-1201	100	8	)	)	PUNCT
ap-1201	100	9	with	with	ADP
ap-1201	100	10	the	the	DET
ap-1201	100	11	properties	property	NOUN
ap-1201	100	12	for	for	ADP
ap-1201	100	13	q(f	q(f	PROPN
ap-1201	100	14	)	)	PUNCT
ap-1201	100	15	and	and	CCONJ
ap-1201	100	16	p(x	p(x	PROPN
ap-1201	100	17	)	)	PUNCT
ap-1201	100	18	at	at	ADP
ap-1201	100	19	the	the	DET
ap-1201	100	20	end	end	NOUN
ap-1201	100	21	of	of	ADP
ap-1201	100	22	section	section	NOUN
ap-1201	100	23	3.2.1	3.2.1	NUM
ap-1201	100	24	and	and	CCONJ
ap-1201	100	25	3.2.2	3.2.2	NUM
ap-1201	100	26	we	we	PRON
ap-1201	100	27	construct	construct	VERB
ap-1201	100	28	the	the	DET
ap-1201	100	29	quantum	quantum	NOUN
ap-1201	100	30	map	map	NOUN
ap-1201	100	31	q(m	q(m	PROPN
ap-1201	100	32	,	,	PUNCT
ap-1201	100	33	k	k	NOUN
ap-1201	100	34	)	)	PUNCT
ap-1201	100	35	.	.	PUNCT
ap-1201	101	1	the	the	DET
ap-1201	101	2	result	result	NOUN
ap-1201	101	3	reflects	reflect	VERB
ap-1201	101	4	the	the	DET
ap-1201	101	5	classification	classification	NOUN
ap-1201	101	6	of	of	ADP
ap-1201	101	7	flat	flat	ADJ
ap-1201	101	8	complex	complex	ADJ
ap-1201	101	9	line	line	NOUN
ap-1201	101	10	bundles	bundle	NOUN
ap-1201	101	11	with	with	ADP
ap-1201	101	12	a	a	DET
ap-1201	101	13	hermitean	hermitean	ADJ
ap-1201	101	14	metric	metric	NOUN
ap-1201	101	15	and	and	CCONJ
ap-1201	101	16	a	a	DET
ap-1201	101	17	hermitean	hermitean	ADJ
ap-1201	101	18	connection	connection	NOUN
ap-1201	101	19	.	.	PUNCT
ap-1201	102	1	a	a	PRON
ap-1201	102	2	further	far	ADV
ap-1201	102	3	classifying	classify	VERB
ap-1201	102	4	real	real	ADJ
ap-1201	102	5	number	number	NOUN
ap-1201	102	6	d	d	NOUN
ap-1201	102	7	is	be	AUX
ap-1201	102	8	related	relate	VERB
ap-1201	102	9	to	to	ADP
ap-1201	102	10	the	the	DET
ap-1201	102	11	global	global	ADJ
ap-1201	102	12	lie	lie	VERB
ap-1201	102	13	-	-	PUNCT
ap-1201	102	14	algebraic	algebraic	PROPN
ap-1201	102	15	symmetry	symmetry	NOUN
ap-1201	102	16	k(m	k(m	PROPN
ap-1201	102	17	)	)	PUNCT
ap-1201	102	18	(	(	PUNCT
ap-1201	102	19	10	10	NUM
ap-1201	102	20	)	)	PUNCT
ap-1201	102	21	and	and	CCONJ
ap-1201	102	22	the	the	DET
ap-1201	102	23	consistency	consistency	NOUN
ap-1201	102	24	of	of	ADP
ap-1201	102	25	the	the	DET
ap-1201	102	26	partial	partial	ADJ
ap-1201	102	27	realization	realization	NOUN
ap-1201	102	28	in	in	ADP
ap-1201	102	29	q(m	q(m	PROPN
ap-1201	102	30	,	,	PUNCT
ap-1201	102	31	k	k	NOUN
ap-1201	102	32	)	)	PUNCT
ap-1201	102	33	.	.	PUNCT
ap-1201	103	1	classification	classification	NOUN
ap-1201	103	2	theorem	theorem	NOUN
ap-1201	103	3	for	for	ADP
ap-1201	103	4	quantum	quantum	PROPN
ap-1201	103	5	borel	borel	PROPN
ap-1201	103	6	kinematics	kinematics	PROPN
ap-1201	103	7	inequivalent	inequivalent	NOUN
ap-1201	103	8	irreducible	irreducible	ADJ
ap-1201	103	9	quantum	quantum	NOUN
ap-1201	103	10	maps	map	NOUN
ap-1201	103	11	q(m	q(m	PROPN
ap-1201	103	12	,	,	PUNCT
ap-1201	103	13	k	k	NOUN
ap-1201	103	14	)	)	PUNCT
ap-1201	103	15	from	from	ADP
ap-1201	103	16	k(m	k(m	PROPN
ap-1201	103	17	)	)	PUNCT
ap-1201	103	18	to	to	ADP
ap-1201	103	19	a	a	DET
ap-1201	103	20	cdi	cdi	PROPN
ap-1201	103	21	domain	domain	NOUN
ap-1201	103	22	dq	dq	NOUN
ap-1201	103	23	in	in	ADP
ap-1201	103	24	sa(l2(m	sa(l2(m	PROPN
ap-1201	103	25	,	,	PUNCT
ap-1201	103	26	ν	ν	NOUN
ap-1201	103	27	)	)	PUNCT
ap-1201	103	28	)	)	PUNCT
ap-1201	103	29	78	78	NUM
ap-1201	103	30	acta	acta	PROPN
ap-1201	103	31	polytechnica	polytechnica	PROPN
ap-1201	103	32	vol	vol	NOUN
ap-1201	103	33	.	.	PROPN
ap-1201	104	1	50	50	NUM
ap-1201	104	2	no	no	NOUN
ap-1201	104	3	.	.	PUNCT
ap-1201	105	1	3/2010	3/2010	NUM
ap-1201	105	2	qα	qα	PROPN
ap-1201	105	3	,	,	PUNCT
ap-1201	105	4	d(m	d(m	PROPN
ap-1201	105	5	,	,	PUNCT
ap-1201	105	6	k	k	NOUN
ap-1201	105	7	)	)	PUNCT
ap-1201	105	8	=	=	SYM
ap-1201	105	9	(	(	PUNCT
ap-1201	105	10	qα	qα	PROPN
ap-1201	105	11	,	,	PUNCT
ap-1201	105	12	d	d	PROPN
ap-1201	105	13	,	,	PUNCT
ap-1201	105	14	pα	pα	INTJ
ap-1201	105	15	,	,	PUNCT
ap-1201	105	16	d	d	X
ap-1201	105	17	(	(	PUNCT
ap-1201	105	18	13	13	NUM
ap-1201	105	19	)	)	PUNCT
ap-1201	105	20	are	be	AUX
ap-1201	105	21	labelled	label	VERB
ap-1201	105	22	by	by	ADP
ap-1201	105	23	two	two	NUM
ap-1201	105	24	numbers	number	NOUN
ap-1201	105	25	α	α	X
ap-1201	105	26	,	,	PUNCT
ap-1201	105	27	d	d	PROPN
ap-1201	105	28	α	α	PROPN
ap-1201	105	29	∈	∈	PROPN
ap-1201	105	30	π∗	π∗	PROPN
ap-1201	105	31	1(m	1(m	NUM
ap-1201	105	32	)	)	PUNCT
ap-1201	105	33	,	,	PUNCT
ap-1201	105	34	d	d	PROPN
ap-1201	105	35	∈	∈	PROPN
ap-1201	105	36	r.	r.	PROPN
ap-1201	105	37	(	(	PUNCT
ap-1201	105	38	14	14	NUM
ap-1201	105	39	)	)	PUNCT
ap-1201	105	40	the	the	DET
ap-1201	105	41	domain	domain	NOUN
ap-1201	105	42	dq	dq	ADP
ap-1201	105	43	⊂	⊂	PROPN
ap-1201	105	44	l2(m	l2(m	NOUN
ap-1201	105	45	,	,	PUNCT
ap-1201	105	46	ν	ν	X
ap-1201	105	47	)	)	PUNCT
ap-1201	105	48	is	be	AUX
ap-1201	105	49	obtained	obtain	VERB
ap-1201	105	50	through	through	ADP
ap-1201	105	51	an	an	DET
ap-1201	105	52	embedding	embedding	NOUN
ap-1201	105	53	in	in	ADP
ap-1201	105	54	the	the	DET
ap-1201	105	55	hilbert	hilbert	NOUN
ap-1201	105	56	space	space	NOUN
ap-1201	105	57	l2(η	l2(η	PROPN
ap-1201	105	58	,	,	PUNCT
ap-1201	105	59	<	<	X
ap-1201	105	60	,	,	PUNCT
ap-1201	105	61	>	>	X
ap-1201	105	62	,	,	PUNCT
ap-1201	105	63	ν	ν	NOUN
ap-1201	105	64	)	)	PUNCT
ap-1201	105	65	spanned	span	VERB
ap-1201	105	66	through	through	ADP
ap-1201	105	67	square	square	ADJ
ap-1201	105	68	integrable	integrable	ADJ
ap-1201	105	69	sections	section	NOUN
ap-1201	105	70	of	of	ADP
ap-1201	105	71	the	the	DET
ap-1201	105	72	complex	complex	ADJ
ap-1201	105	73	line	line	NOUN
ap-1201	105	74	bundle	bundle	PROPN
ap-1201	105	75	η	η	PROPN
ap-1201	105	76	on	on	ADP
ap-1201	105	77	m	m	PROPN
ap-1201	105	78	with	with	ADP
ap-1201	105	79	hermitean	hermitean	PROPN
ap-1201	105	80	metric	metric	NOUN
ap-1201	105	81	and	and	CCONJ
ap-1201	105	82	a	a	DET
ap-1201	105	83	flat	flat	ADJ
ap-1201	105	84	hermitean	hermitean	NOUN
ap-1201	105	85	connection	connection	NOUN
ap-1201	105	86	.	.	PUNCT
ap-1201	106	1	the	the	DET
ap-1201	106	2	α	α	NOUN
ap-1201	106	3	,	,	PUNCT
ap-1201	106	4	d	d	PROPN
ap-1201	106	5	are	be	AUX
ap-1201	106	6	quantum	quantum	ADJ
ap-1201	106	7	numbers	number	NOUN
ap-1201	106	8	in	in	ADP
ap-1201	106	9	the	the	DET
ap-1201	106	10	sense	sense	NOUN
ap-1201	106	11	of	of	ADP
ap-1201	106	12	wigner	wigner	NOUN
ap-1201	106	13	.	.	PUNCT
ap-1201	107	1	quantizations	quantization	NOUN
ap-1201	107	2	pα	pα	VERB
ap-1201	107	3	,	,	PUNCT
ap-1201	107	4	d	d	NOUN
ap-1201	107	5	for	for	ADP
ap-1201	107	6	different	different	ADJ
ap-1201	107	7	α	α	NOUN
ap-1201	107	8	and/or	and/or	CCONJ
ap-1201	107	9	d	d	PROPN
ap-1201	107	10	are	be	AUX
ap-1201	107	11	unitary	unitary	ADJ
ap-1201	107	12	inequivalent	inequivalent	NOUN
ap-1201	107	13	.	.	PUNCT
ap-1201	108	1	quantizations	quantization	NOUN
ap-1201	108	2	qα	qα	PROPN
ap-1201	108	3	,	,	PUNCT
ap-1201	108	4	d	d	PROPN
ap-1201	108	5	which	which	PRON
ap-1201	108	6	act	act	VERB
ap-1201	108	7	on	on	ADP
ap-1201	108	8	d	d	PROPN
ap-1201	108	9	as	as	ADP
ap-1201	108	10	qα	qα	PROPN
ap-1201	108	11	,	,	PUNCT
ap-1201	108	12	d(f(m	d(f(m	PROPN
ap-1201	108	13	)	)	PUNCT
ap-1201	108	14	)	)	PUNCT
ap-1201	108	15	)	)	PUNCT
ap-1201	109	1	=	=	SYM
ap-1201	109	2	f(m	f(m	PROPN
ap-1201	109	3	)	)	PUNCT
ap-1201	109	4	,	,	PUNCT
ap-1201	109	5	f(m	f(m	PROPN
ap-1201	109	6	)	)	PUNCT
ap-1201	109	7	∈	∈	PROPN
ap-1201	109	8	c∞(m	c∞(m	NOUN
ap-1201	109	9	,	,	PUNCT
ap-1201	109	10	r	r	NOUN
ap-1201	109	11	)	)	PUNCT
ap-1201	109	12	are	be	AUX
ap-1201	109	13	independent	independent	ADJ
ap-1201	109	14	of	of	ADP
ap-1201	109	15	α	α	PROPN
ap-1201	109	16	and	and	CCONJ
ap-1201	109	17	d.	d.	PROPN
ap-1201	109	18	for	for	ADP
ap-1201	109	19	pα	pα	PROPN
ap-1201	109	20	,	,	PUNCT
ap-1201	109	21	d	d	NOUN
ap-1201	109	22	on	on	ADP
ap-1201	109	23	d	d	DET
ap-1201	109	24	one	one	PRON
ap-1201	109	25	obtains	obtain	VERB
ap-1201	109	26	a	a	DET
ap-1201	109	27	first	first	ADJ
ap-1201	109	28	order	order	NOUN
ap-1201	109	29	pdo	pdo	PROPN
ap-1201	109	30	through	through	ADP
ap-1201	109	31	lie	lie	NOUN
ap-1201	109	32	-	-	PUNCT
ap-1201	109	33	derivatives	derivative	NOUN
ap-1201	109	34	and	and	CCONJ
ap-1201	109	35	as	as	ADP
ap-1201	109	36	the	the	DET
ap-1201	109	37	zero	zero	NUM
ap-1201	109	38	order	order	NOUN
ap-1201	109	39	part	part	NOUN
ap-1201	109	40	a	a	DET
ap-1201	109	41	smooth	smooth	ADJ
ap-1201	109	42	section	section	NOUN
ap-1201	109	43	of	of	ADP
ap-1201	109	44	the	the	DET
ap-1201	109	45	endomorphism	endomorphism	PROPN
ap-1201	109	46	bundle	bundle	NOUN
ap-1201	109	47	which	which	PRON
ap-1201	109	48	depends	depend	VERB
ap-1201	109	49	on	on	ADP
ap-1201	109	50	d	d	PROPN
ap-1201	109	51	and	and	CCONJ
ap-1201	109	52	α	α	PROPN
ap-1201	109	53	(	(	PUNCT
ap-1201	109	54	see	see	VERB
ap-1201	109	55	the	the	DET
ap-1201	109	56	example	example	NOUN
ap-1201	109	57	in	in	ADP
ap-1201	109	58	section	section	NOUN
ap-1201	109	59	3.2.4	3.2.4	NUM
ap-1201	109	60	and	and	CCONJ
ap-1201	109	61	[	[	X
ap-1201	109	62	3	3	NUM
ap-1201	109	63	]	]	NUM
ap-1201	109	64	)	)	PUNCT
ap-1201	109	65	.	.	PUNCT
ap-1201	110	1	there	there	PRON
ap-1201	110	2	are	be	VERB
ap-1201	110	3	many	many	ADJ
ap-1201	110	4	applications	application	NOUN
ap-1201	110	5	.	.	PUNCT
ap-1201	111	1	we	we	PRON
ap-1201	111	2	refer	refer	VERB
ap-1201	111	3	to	to	ADP
ap-1201	111	4	the	the	DET
ap-1201	111	5	list	list	NOUN
ap-1201	111	6	in	in	ADP
ap-1201	111	7	[	[	X
ap-1201	111	8	4	4	NUM
ap-1201	111	9	]	]	PUNCT
ap-1201	111	10	and	and	CCONJ
ap-1201	111	11	e.g.	e.g.	ADV
ap-1201	111	12	to	to	ADP
ap-1201	111	13	quantizations	quantization	NOUN
ap-1201	111	14	on	on	ADP
ap-1201	111	15	a	a	DET
ap-1201	111	16	trefoil	trefoil	NOUN
ap-1201	111	17	manifold	manifold	ADJ
ap-1201	111	18	[	[	X
ap-1201	111	19	15	15	NUM
ap-1201	111	20	]	]	PUNCT
ap-1201	111	21	and	and	CCONJ
ap-1201	111	22	on	on	ADP
ap-1201	111	23	two	two	NUM
ap-1201	111	24	and	and	CCONJ
ap-1201	111	25	higher	high	ADJ
ap-1201	111	26	dimensional	dimensional	ADJ
ap-1201	111	27	configuration	configuration	NOUN
ap-1201	111	28	manifolds	manifold	NOUN
ap-1201	111	29	for	for	ADP
ap-1201	111	30	n	n	CCONJ
ap-1201	111	31	identical	identical	ADJ
ap-1201	111	32	particles	particle	NOUN
ap-1201	111	33	[	[	X
ap-1201	111	34	16	16	NUM
ap-1201	111	35	]	]	PUNCT
ap-1201	111	36	including	include	VERB
ap-1201	111	37	anyons	anyon	NOUN
ap-1201	111	38	.	.	PUNCT
ap-1201	112	1	physical	physical	ADJ
ap-1201	112	2	effects	effect	NOUN
ap-1201	112	3	of	of	ADP
ap-1201	112	4	quantum	quantum	NOUN
ap-1201	112	5	maps	map	NOUN
ap-1201	112	6	qα	qα	PROPN
ap-1201	112	7	,	,	PUNCT
ap-1201	112	8	d	d	NOUN
ap-1201	112	9	with	with	ADP
ap-1201	112	10	d	d	PROPN
ap-1201	112	11	=	=	SYM
ap-1201	112	12	0	0	NUM
ap-1201	112	13	through	through	ADP
ap-1201	112	14	quantum	quantum	ADJ
ap-1201	112	15	numbers	number	NOUN
ap-1201	112	16	α	α	PRON
ap-1201	112	17	are	be	AUX
ap-1201	112	18	experimentally	experimentally	ADV
ap-1201	112	19	observed	observe	VERB
ap-1201	112	20	.	.	PUNCT
ap-1201	113	1	however	however	ADV
ap-1201	113	2	,	,	PUNCT
ap-1201	113	3	for	for	ADP
ap-1201	113	4	qα	qα	PROPN
ap-1201	113	5	,	,	PUNCT
ap-1201	113	6	d	d	NOUN
ap-1201	113	7	with	with	ADP
ap-1201	113	8	d	d	PROPN
ap-1201	113	9	�	�	PROPN
ap-1201	113	10	=	=	SYM
ap-1201	113	11	0	0	NOUN
ap-1201	113	12	our	our	PRON
ap-1201	113	13	derivation	derivation	NOUN
ap-1201	113	14	contains	contain	VERB
ap-1201	113	15	no	no	DET
ap-1201	113	16	information	information	NOUN
ap-1201	113	17	on	on	ADP
ap-1201	113	18	the	the	DET
ap-1201	113	19	interpretation	interpretation	NOUN
ap-1201	113	20	and	and	CCONJ
ap-1201	113	21	hints	hint	NOUN
ap-1201	113	22	for	for	ADP
ap-1201	113	23	its	its	PRON
ap-1201	113	24	physical	physical	ADJ
ap-1201	113	25	relevance	relevance	NOUN
ap-1201	113	26	;	;	PUNCT
ap-1201	113	27	even	even	ADV
ap-1201	113	28	in	in	ADP
ap-1201	113	29	the	the	DET
ap-1201	113	30	case	case	NOUN
ap-1201	113	31	for	for	ADP
ap-1201	113	32	trivial	trivial	ADJ
ap-1201	113	33	α	α	NOUN
ap-1201	113	34	the	the	DET
ap-1201	113	35	physical	physical	ADJ
ap-1201	113	36	meaning	meaning	NOUN
ap-1201	113	37	of	of	ADP
ap-1201	113	38	d	d	PROPN
ap-1201	113	39	is	be	AUX
ap-1201	113	40	unknown	unknown	ADJ
ap-1201	113	41	.	.	PUNCT
ap-1201	114	1	furthermore	furthermore	ADV
ap-1201	114	2	qα	qα	PROPN
ap-1201	114	3	,	,	PUNCT
ap-1201	114	4	d	d	NOUN
ap-1201	114	5	with	with	ADP
ap-1201	114	6	d	d	PROPN
ap-1201	114	7	�	�	PROPN
ap-1201	114	8	=	=	SYM
ap-1201	114	9	0	0	NUM
ap-1201	114	10	implies	imply	VERB
ap-1201	114	11	as	as	ADP
ap-1201	114	12	a	a	DET
ap-1201	114	13	quantum	quantum	NOUN
ap-1201	114	14	map	map	NOUN
ap-1201	114	15	of	of	ADP
ap-1201	114	16	the	the	DET
ap-1201	114	17	kinematics	kinematic	NOUN
ap-1201	114	18	no	no	DET
ap-1201	114	19	information	information	NOUN
ap-1201	114	20	on	on	ADP
ap-1201	114	21	the	the	DET
ap-1201	114	22	time	time	NOUN
ap-1201	114	23	dependence	dependence	NOUN
ap-1201	114	24	of	of	ADP
ap-1201	114	25	the	the	DET
ap-1201	114	26	system	system	NOUN
ap-1201	114	27	,	,	PUNCT
ap-1201	114	28	i.e.	i.e.	X
ap-1201	114	29	of	of	ADP
ap-1201	114	30	its	its	PRON
ap-1201	114	31	dynamics	dynamic	NOUN
ap-1201	114	32	and	and	CCONJ
ap-1201	114	33	furthermore	furthermore	ADV
ap-1201	114	34	no	no	DET
ap-1201	114	35	rule	rule	NOUN
ap-1201	114	36	for	for	ADP
ap-1201	114	37	the	the	DET
ap-1201	114	38	quantization	quantization	NOUN
ap-1201	114	39	(	(	PUNCT
ap-1201	114	40	up	up	ADP
ap-1201	114	41	to	to	ADP
ap-1201	114	42	orderings	ordering	NOUN
ap-1201	114	43	)	)	PUNCT
ap-1201	114	44	of	of	ADP
ap-1201	114	45	higher	high	ADJ
ap-1201	114	46	order	order	NOUN
ap-1201	114	47	(	(	PUNCT
ap-1201	114	48	≥	≥	NOUN
ap-1201	114	49	2	2	NUM
ap-1201	114	50	)	)	PUNCT
ap-1201	114	51	polynomials	polynomial	NOUN
ap-1201	114	52	of	of	ADP
ap-1201	114	53	momentum	momentum	NOUN
ap-1201	114	54	and	and	CCONJ
ap-1201	114	55	position	position	NOUN
ap-1201	114	56	observable	observable	ADJ
ap-1201	114	57	.	.	PUNCT
ap-1201	115	1	a	a	DET
ap-1201	115	2	possible	possible	ADJ
ap-1201	115	3	answer	answer	NOUN
ap-1201	115	4	to	to	ADP
ap-1201	115	5	these	these	DET
ap-1201	115	6	questions	question	NOUN
ap-1201	115	7	was	be	AUX
ap-1201	115	8	proposed	propose	VERB
ap-1201	115	9	by	by	ADP
ap-1201	115	10	jerry	jerry	NOUN
ap-1201	115	11	goldin	goldin	PROPN
ap-1201	115	12	and	and	CCONJ
ap-1201	115	13	hdd	hdd	NOUN
ap-1201	115	14	[	[	X
ap-1201	115	15	1	1	NUM
ap-1201	115	16	]	]	PUNCT
ap-1201	115	17	.	.	PUNCT
ap-1201	116	1	they	they	PRON
ap-1201	116	2	introduced	introduce	VERB
ap-1201	116	3	for	for	ADP
ap-1201	116	4	m	m	PROPN
ap-1201	116	5	=	=	SYM
ap-1201	116	6	r3	r3	PROPN
ap-1201	116	7	a	a	DET
ap-1201	116	8	time	time	NOUN
ap-1201	116	9	dependence	dependence	NOUN
ap-1201	116	10	of	of	ADP
ap-1201	116	11	ψ	ψ	NOUN
ap-1201	116	12	through	through	ADP
ap-1201	116	13	particle	particle	NOUN
ap-1201	116	14	conservation	conservation	NOUN
ap-1201	116	15	and	and	CCONJ
ap-1201	116	16	obtained	obtain	VERB
ap-1201	116	17	with	with	ADP
ap-1201	116	18	qα	qα	PROPN
ap-1201	116	19	,	,	PUNCT
ap-1201	116	20	d(r3	d(r3	NOUN
ap-1201	116	21	,	,	PUNCT
ap-1201	116	22	k	k	NOUN
ap-1201	116	23	)	)	PUNCT
ap-1201	116	24	after	after	ADP
ap-1201	116	25	‘	'	PUNCT
ap-1201	116	26	gauge	gauge	ADJ
ap-1201	116	27	generalisation	generalisation	NOUN
ap-1201	116	28	’	'	PUNCT
ap-1201	116	29	nonlinear	nonlinear	PROPN
ap-1201	116	30	schrödinger	schrödinger	NOUN
ap-1201	116	31	equations	equation	NOUN
ap-1201	116	32	with	with	ADP
ap-1201	116	33	nonlinear	nonlinear	ADJ
ap-1201	116	34	terms	term	NOUN
ap-1201	116	35	proportional	proportional	ADJ
ap-1201	116	36	to	to	ADP
ap-1201	116	37	d.	d.	PROPN
ap-1201	116	38	the	the	DET
ap-1201	116	39	procedure	procedure	NOUN
ap-1201	116	40	can	can	AUX
ap-1201	116	41	be	be	AUX
ap-1201	116	42	generalized	generalize	VERB
ap-1201	116	43	to	to	ADP
ap-1201	116	44	systems	system	NOUN
ap-1201	116	45	onm	onm	NOUN
ap-1201	116	46	.	.	PUNCT
ap-1201	117	1	these	these	DET
ap-1201	117	2	results	result	NOUN
ap-1201	117	3	indicate	indicate	VERB
ap-1201	117	4	a	a	DET
ap-1201	117	5	hidden	hidden	ADJ
ap-1201	117	6	nonlinear	nonlinear	ADJ
ap-1201	117	7	structure	structure	NOUN
ap-1201	117	8	of	of	ADP
ap-1201	117	9	{	{	PUNCT
ap-1201	117	10	qα	qα	PROPN
ap-1201	117	11	,	,	PUNCT
ap-1201	117	12	d(m	d(m	PROPN
ap-1201	117	13	,	,	PUNCT
ap-1201	117	14	k3	k3	VERB
ap-1201	117	15	}	}	PUNCT
ap-1201	117	16	which	which	PRON
ap-1201	117	17	will	will	AUX
ap-1201	117	18	be	be	AUX
ap-1201	117	19	explored	explore	VERB
ap-1201	117	20	in	in	ADP
ap-1201	117	21	section	section	NOUN
ap-1201	117	22	4	4	NUM
ap-1201	117	23	.	.	NOUN
ap-1201	117	24	3.2.4	3.2.4	NUM
ap-1201	117	25	quantizations	quantization	NOUN
ap-1201	117	26	on	on	ADP
ap-1201	117	27	m	m	PROPN
ap-1201	117	28	=	=	ADJ
ap-1201	117	29	r3	r3	PROPN
ap-1201	117	30	as	as	ADP
ap-1201	117	31	an	an	DET
ap-1201	117	32	example	example	NOUN
ap-1201	117	33	for	for	ADP
ap-1201	117	34	the	the	DET
ap-1201	117	35	classification	classification	NOUN
ap-1201	117	36	theorem	theorem	NOUN
ap-1201	117	37	we	we	PRON
ap-1201	117	38	consider	consider	VERB
ap-1201	117	39	m	m	NOUN
ap-1201	117	40	=	=	ADJ
ap-1201	117	41	r3	r3	PROPN
ap-1201	117	42	with	with	ADP
ap-1201	117	43	trivial	trivial	ADJ
ap-1201	117	44	π∗	π∗	NOUN
ap-1201	117	45	1(r	1(r	NUM
ap-1201	117	46	3	3	NUM
ap-1201	117	47	)	)	PUNCT
ap-1201	117	48	and	and	CCONJ
ap-1201	117	49	x	x	X
ap-1201	117	50	=	=	SYM
ap-1201	117	51	−→g	−→g	NOUN
ap-1201	117	52	(	(	PUNCT
ap-1201	117	53	x)−→∇	x)−→∇	NUM
ap-1201	117	54	,	,	PUNCT
ap-1201	117	55	f	f	PROPN
ap-1201	117	56	=	=	SYM
ap-1201	117	57	f(x	f(x	PROPN
ap-1201	117	58	)	)	PUNCT
ap-1201	117	59	.	.	PUNCT
ap-1201	118	1	we	we	PRON
ap-1201	118	2	find	find	VERB
ap-1201	118	3	for	for	ADP
ap-1201	118	4	qd(r3	qd(r3	NOUN
ap-1201	118	5	,	,	PUNCT
ap-1201	118	6	k	k	NOUN
ap-1201	118	7	)	)	PUNCT
ap-1201	118	8	in	in	ADP
ap-1201	118	9	d	d	PROPN
ap-1201	118	10	∈	∈	PROPN
ap-1201	118	11	l2(r3	l2(r3	PROPN
ap-1201	118	12	,	,	PUNCT
ap-1201	118	13	dx3	dx3	PROPN
ap-1201	118	14	)	)	PUNCT
ap-1201	118	15	qd(f	qd(f	NOUN
ap-1201	118	16	)	)	PUNCT
ap-1201	118	17	=	=	SYM
ap-1201	118	18	f(x	f(x	PROPN
ap-1201	118	19	)	)	PUNCT
ap-1201	118	20	,	,	PUNCT
ap-1201	118	21	pd(x	pd(x	X
ap-1201	118	22	)	)	PUNCT
ap-1201	118	23	=	=	SYM
ap-1201	119	1	1	1	NUM
ap-1201	119	2	i	i	PRON
ap-1201	119	3	−→g	−→g	ADJ
ap-1201	119	4	(	(	PUNCT
ap-1201	119	5	x)−→∇	x)−→∇	PUNCT
ap-1201	119	6	+	+	CCONJ
ap-1201	119	7	(	(	PUNCT
ap-1201	119	8	1	1	NUM
ap-1201	119	9	2i	2i	NUM
ap-1201	119	10	+	+	NOUN
ap-1201	119	11	d	d	NOUN
ap-1201	119	12	)	)	PUNCT
ap-1201	119	13	div−→g	div−→g	PROPN
ap-1201	119	14	(	(	PUNCT
ap-1201	119	15	x	x	NOUN
ap-1201	119	16	)	)	PUNCT
ap-1201	119	17	.	.	PUNCT
ap-1201	120	1	(	(	PUNCT
ap-1201	120	2	15	15	X
ap-1201	120	3	)	)	PUNCT
ap-1201	120	4	qd=0	qd=0	PROPN
ap-1201	120	5	≡	≡	PROPN
ap-1201	120	6	q0	q0	PROPN
ap-1201	120	7	is	be	AUX
ap-1201	120	8	the	the	DET
ap-1201	120	9	canonical	canonical	ADJ
ap-1201	120	10	quantization	quantization	NOUN
ap-1201	120	11	.	.	PUNCT
ap-1201	121	1	the	the	DET
ap-1201	121	2	maps	map	NOUN
ap-1201	121	3	qd	qd	ADV
ap-1201	121	4	and	and	CCONJ
ap-1201	121	5	qd′	qd′	PROPN
ap-1201	121	6	are	be	AUX
ap-1201	121	7	unitarily	unitarily	ADV
ap-1201	121	8	inequivalent	inequivalent	NOUN
ap-1201	121	9	for	for	ADP
ap-1201	121	10	d	d	PROPN
ap-1201	121	11	�	�	PROPN
ap-1201	121	12	=	=	PRON
ap-1201	121	13	d′.	d′.	VERB
ap-1201	121	14	the	the	DET
ap-1201	121	15	expectation	expectation	NOUN
ap-1201	121	16	values	value	NOUN
ap-1201	121	17	can	can	AUX
ap-1201	121	18	be	be	AUX
ap-1201	121	19	scaled	scale	VERB
ap-1201	121	20	according	accord	VERB
ap-1201	121	21	to	to	ADP
ap-1201	121	22	their	their	PRON
ap-1201	121	23	physical	physical	ADJ
ap-1201	121	24	interpretation	interpretation	NOUN
ap-1201	121	25	with	with	ADP
ap-1201	121	26	automorphisms	automorphism	NOUN
ap-1201	121	27	of	of	ADP
ap-1201	121	28	v	v	PROPN
ap-1201	121	29	ect0(m	ect0(m	NOUN
ap-1201	121	30	)	)	PUNCT
ap-1201	121	31	�	�	PROPN
ap-1201	121	32	x	x	SYM
ap-1201	121	33	�	�	PRON
ap-1201	121	34	−→	−→	NOUN
ap-1201	121	35	ax	ax	NOUN
ap-1201	121	36	and	and	CCONJ
ap-1201	121	37	c∞(m	c∞(m	NOUN
ap-1201	121	38	,	,	PUNCT
ap-1201	121	39	r	r	NOUN
ap-1201	121	40	)	)	PUNCT
ap-1201	121	41	�	�	PROPN
ap-1201	121	42	f	f	PROPN
ap-1201	121	43	�	�	PROPN
ap-1201	121	44	−→	−→	NOUN
ap-1201	121	45	bf	bf	NOUN
ap-1201	121	46	.	.	PUNCT
ap-1201	122	1	4	4	NUM
ap-1201	122	2	a	a	DET
ap-1201	122	3	nonlinear	nonlinear	ADJ
ap-1201	122	4	symmetry	symmetry	NOUN
ap-1201	122	5	of	of	ADP
ap-1201	122	6	{	{	PUNCT
ap-1201	122	7	qd	qd	PROPN
ap-1201	122	8	}	}	PUNCT
ap-1201	122	9	4.1	4.1	NUM
ap-1201	122	10	nonlinear	nonlinear	ADJ
ap-1201	122	11	transformations	transformation	NOUN
ap-1201	122	12	and	and	CCONJ
ap-1201	122	13	operators	operator	NOUN
ap-1201	122	14	we	we	PRON
ap-1201	122	15	use	use	VERB
ap-1201	122	16	the	the	DET
ap-1201	122	17	above	above	ADJ
ap-1201	122	18	set	set	NOUN
ap-1201	122	19	{	{	PUNCT
ap-1201	122	20	qd(r3	qd(r3	PROPN
ap-1201	122	21	,	,	PUNCT
ap-1201	122	22	k	k	NOUN
ap-1201	122	23	)	)	PUNCT
ap-1201	122	24	}	}	PUNCT
ap-1201	122	25	to	to	PART
ap-1201	122	26	look	look	VERB
ap-1201	122	27	for	for	ADP
ap-1201	122	28	a	a	DET
ap-1201	122	29	‘	'	PUNCT
ap-1201	122	30	hidden	hidden	ADJ
ap-1201	122	31	non	non	ADJ
ap-1201	122	32	linear	linear	ADJ
ap-1201	122	33	structure	structure	NOUN
ap-1201	122	34	’	'	PUNCT
ap-1201	122	35	.	.	PUNCT
ap-1201	123	1	because	because	SCONJ
ap-1201	123	2	nonlinearities	nonlinearitie	NOUN
ap-1201	123	3	are	be	AUX
ap-1201	123	4	often	often	ADV
ap-1201	123	5	a	a	DET
ap-1201	123	6	result	result	NOUN
ap-1201	123	7	of	of	ADP
ap-1201	123	8	nonlinear	nonlinear	ADJ
ap-1201	123	9	transformations	transformation	NOUN
ap-1201	123	10	it	it	PRON
ap-1201	123	11	is	be	AUX
ap-1201	123	12	plausible	plausible	ADJ
ap-1201	123	13	to	to	PART
ap-1201	123	14	try	try	VERB
ap-1201	123	15	physically	physically	ADV
ap-1201	123	16	motivated	motivated	ADJ
ap-1201	123	17	nonlinear	nonlinear	ADJ
ap-1201	123	18	transformations	transformation	NOUN
ap-1201	123	19	n	n	PRON
ap-1201	123	20	of	of	ADP
ap-1201	123	21	ψ	ψ	X
ap-1201	123	22	∈	∈	PROPN
ap-1201	123	23	l2(r3	l2(r3	NOUN
ap-1201	123	24	,	,	PUNCT
ap-1201	123	25	d3x	d3x	NOUN
ap-1201	123	26	)	)	PUNCT
ap-1201	123	27	n	n	NOUN
ap-1201	123	28	:	:	PUNCT
ap-1201	123	29	ψ	ψ	X
ap-1201	123	30	−→	−→	NOUN
ap-1201	123	31	n	n	NOUN
ap-1201	123	32	[	[	X
ap-1201	123	33	ψ	ψ	X
ap-1201	123	34	]	]	X
ap-1201	123	35	=	=	SYM
ap-1201	123	36	n(ψ)ψ	n(ψ)ψ	PROPN
ap-1201	123	37	.	.	PUNCT
ap-1201	124	1	(	(	PUNCT
ap-1201	124	2	16	16	NUM
ap-1201	124	3	)	)	PUNCT
ap-1201	124	4	we	we	PRON
ap-1201	124	5	assume	assume	VERB
ap-1201	124	6	that	that	SCONJ
ap-1201	124	7	n	n	PRON
ap-1201	124	8	act	act	VERB
ap-1201	124	9	as	as	ADP
ap-1201	124	10	multiplication	multiplication	NOUN
ap-1201	124	11	operators	operator	NOUN
ap-1201	124	12	and	and	CCONJ
ap-1201	124	13	depend	depend	VERB
ap-1201	124	14	only	only	ADV
ap-1201	124	15	on	on	ADP
ap-1201	124	16	ψ	ψ	SYM
ap-1201	124	17	,	,	PUNCT
ap-1201	124	18	i.e.	i.e.	X
ap-1201	124	19	not	not	PART
ap-1201	124	20	on	on	ADP
ap-1201	124	21	derivatives	derivative	NOUN
ap-1201	124	22	of	of	ADP
ap-1201	124	23	ψ	ψ	NOUN
ap-1201	124	24	and	and	CCONJ
ap-1201	124	25	not	not	PART
ap-1201	124	26	explicitly	explicitly	ADV
ap-1201	124	27	on	on	ADP
ap-1201	124	28	x	x	PROPN
ap-1201	124	29	,	,	PUNCT
ap-1201	124	30	t	t	PROPN
ap-1201	124	31	(	(	PUNCT
ap-1201	124	32	domain	domain	NOUN
ap-1201	124	33	and	and	CCONJ
ap-1201	124	34	range	range	NOUN
ap-1201	124	35	questions	question	NOUN
ap-1201	124	36	are	be	AUX
ap-1201	124	37	not	not	PART
ap-1201	124	38	discussed	discuss	VERB
ap-1201	124	39	in	in	ADP
ap-1201	124	40	this	this	DET
ap-1201	124	41	paper	paper	NOUN
ap-1201	124	42	)	)	PUNCT
ap-1201	124	43	.	.	PUNCT
ap-1201	125	1	these	these	DET
ap-1201	125	2	transformation	transformation	NOUN
ap-1201	125	3	n	n	CCONJ
ap-1201	125	4	[	[	X
ap-1201	125	5	ψ	ψ	X
ap-1201	125	6	]	]	X
ap-1201	125	7	could	could	AUX
ap-1201	125	8	imply	imply	VERB
ap-1201	125	9	singularities	singularity	NOUN
ap-1201	125	10	e.g.	e.g.	ADV
ap-1201	125	11	in	in	ADP
ap-1201	125	12	evolution	evolution	NOUN
ap-1201	125	13	equations	equation	NOUN
ap-1201	125	14	,	,	PUNCT
ap-1201	125	15	which	which	PRON
ap-1201	125	16	are	be	AUX
ap-1201	125	17	not	not	PART
ap-1201	125	18	important	important	ADJ
ap-1201	125	19	here	here	ADV
ap-1201	125	20	.	.	PUNCT
ap-1201	126	1	in	in	ADP
ap-1201	126	2	the	the	DET
ap-1201	126	3	case	case	NOUN
ap-1201	126	4	for	for	ADP
ap-1201	126	5	multivalued	multivalued	ADJ
ap-1201	126	6	n	n	CCONJ
ap-1201	126	7	[	[	X
ap-1201	126	8	ψ	ψ	X
ap-1201	126	9	]	]	X
ap-1201	126	10	one	one	PRON
ap-1201	126	11	has	have	VERB
ap-1201	126	12	to	to	PART
ap-1201	126	13	show	show	VERB
ap-1201	126	14	that	that	SCONJ
ap-1201	126	15	relevant	relevant	ADJ
ap-1201	126	16	results	result	NOUN
ap-1201	126	17	are	be	AUX
ap-1201	126	18	unique	unique	ADJ
ap-1201	126	19	and	and	CCONJ
ap-1201	126	20	independent	independent	ADJ
ap-1201	126	21	from	from	ADP
ap-1201	126	22	the	the	DET
ap-1201	126	23	choice	choice	NOUN
ap-1201	126	24	of	of	ADP
ap-1201	126	25	the	the	DET
ap-1201	126	26	representatives	representative	NOUN
ap-1201	126	27	of	of	ADP
ap-1201	126	28	the	the	DET
ap-1201	126	29	ray	ray	NOUN
ap-1201	126	30	{	{	PUNCT
ap-1201	126	31	ψτ	ψτ	NOUN
ap-1201	126	32	|	|	ADV
ap-1201	126	33	ψ	ψ	X
ap-1201	126	34	exp	exp	NOUN
ap-1201	126	35	iτ	iτ	NOUN
ap-1201	126	36	,	,	PUNCT
ap-1201	126	37	τ	τ	X
ap-1201	126	38	real	real	NOUN
ap-1201	126	39	}	}	PUNCT
ap-1201	126	40	which	which	PRON
ap-1201	126	41	describe	describe	VERB
ap-1201	126	42	physical	physical	ADJ
ap-1201	126	43	equivalent	equivalent	ADJ
ap-1201	126	44	states	state	NOUN
ap-1201	126	45	.	.	PUNCT
ap-1201	127	1	to	to	PART
ap-1201	127	2	construct	construct	VERB
ap-1201	127	3	from	from	ADP
ap-1201	127	4	esa	esa	PROPN
ap-1201	127	5	operators	operators	PROPN
ap-1201	127	6	a	a	DET
ap-1201	127	7	through	through	ADP
ap-1201	127	8	n	n	ADP
ap-1201	127	9	operators	operator	NOUN
ap-1201	127	10	an	an	PRON
ap-1201	127	11	,	,	PUNCT
ap-1201	127	12	which	which	PRON
ap-1201	127	13	may	may	AUX
ap-1201	127	14	be	be	AUX
ap-1201	127	15	linear	linear	ADJ
ap-1201	127	16	or	or	CCONJ
ap-1201	127	17	nonlinear	nonlinear	ADJ
ap-1201	127	18	,	,	PUNCT
ap-1201	127	19	we	we	PRON
ap-1201	127	20	again	again	ADV
ap-1201	127	21	use	use	VERB
ap-1201	127	22	the	the	DET
ap-1201	127	23	flow	flow	NOUN
ap-1201	127	24	model	model	NOUN
ap-1201	127	25	.	.	PUNCT
ap-1201	128	1	the	the	DET
ap-1201	128	2	flow	flow	NOUN
ap-1201	128	3	with	with	ADP
ap-1201	128	4	generator	generator	NOUN
ap-1201	128	5	x	x	NOUN
ap-1201	128	6	corresponds	correspond	VERB
ap-1201	128	7	after	after	ADP
ap-1201	128	8	quantization	quantization	NOUN
ap-1201	128	9	to	to	ADP
ap-1201	128	10	a	a	DET
ap-1201	128	11	strongly	strongly	ADV
ap-1201	128	12	continuous	continuous	ADJ
ap-1201	128	13	one	one	NUM
ap-1201	128	14	parameter	parameter	NOUN
ap-1201	128	15	unitary	unitary	ADJ
ap-1201	128	16	group	group	NOUN
ap-1201	128	17	uε	uε	NOUN
ap-1201	128	18	with	with	ADP
ap-1201	128	19	an	an	DET
ap-1201	128	20	esa	esa	PROPN
ap-1201	128	21	generator	generator	PROPN
ap-1201	128	22	.	.	PUNCT
ap-1201	129	1	this	this	DET
ap-1201	129	2	generator	generator	NOUN
ap-1201	129	3	appears	appear	VERB
ap-1201	129	4	through	through	ADP
ap-1201	129	5	a	a	DET
ap-1201	129	6	tangent	tangent	NOUN
ap-1201	129	7	map	map	NOUN
ap-1201	129	8	d	d	X
ap-1201	129	9	dε	dε	X
ap-1201	129	10	(	(	PUNCT
ap-1201	129	11	uεψ)ε=0	uεψ)ε=0	NOUN
ap-1201	129	12	on	on	ADP
ap-1201	129	13	a	a	DET
ap-1201	129	14	path	path	NOUN
ap-1201	129	15	{	{	PUNCT
ap-1201	129	16	uεψ,∈	uεψ,∈	X
ap-1201	130	1	[	[	X
ap-1201	130	2	−1,+1	−1,+1	X
ap-1201	130	3	]	]	X
ap-1201	130	4	}	}	PUNCT
ap-1201	130	5	in	in	ADP
ap-1201	130	6	l2(r3	l2(r3	PRON
ap-1201	130	7	,	,	PUNCT
ap-1201	130	8	d3x	d3x	NOUN
ap-1201	130	9	)	)	PUNCT
ap-1201	130	10	.	.	PUNCT
ap-1201	131	1	with	with	ADP
ap-1201	131	2	this	this	PRON
ap-1201	131	3	in	in	ADP
ap-1201	131	4	mind	mind	NOUN
ap-1201	131	5	we	we	PRON
ap-1201	131	6	construct	construct	VERB
ap-1201	131	7	an	an	PRON
ap-1201	131	8	from	from	ADP
ap-1201	131	9	a	a	DET
ap-1201	131	10	given	give	VERB
ap-1201	131	11	esa	esa	NOUN
ap-1201	131	12	a	a	DET
ap-1201	131	13	with	with	ADP
ap-1201	131	14	vε	vε	NOUN
ap-1201	131	15	=	=	PUNCT
ap-1201	131	16	exp	exp	NOUN
ap-1201	131	17	iεa	iεa	NOUN
ap-1201	131	18	via	via	ADP
ap-1201	131	19	a	a	DET
ap-1201	131	20	tangent	tangent	NOUN
ap-1201	131	21	map	map	NOUN
ap-1201	132	1	n	n	PRON
ap-1201	133	1	[	[	X
ap-1201	133	2	vεψ	vεψ	NOUN
ap-1201	133	3	]	]	PUNCT
ap-1201	133	4	with	with	ADP
ap-1201	133	5	n	n	PRON
ap-1201	133	6	on	on	ADP
ap-1201	133	7	a	a	DET
ap-1201	133	8	corresponding	corresponding	ADJ
ap-1201	133	9	nonlinear	nonlinear	ADJ
ap-1201	133	10	path	path	NOUN
ap-1201	133	11	d	d	X
ap-1201	133	12	dε	dε	VERB
ap-1201	133	13	(	(	PUNCT
ap-1201	133	14	n	n	PRON
ap-1201	133	15	[	[	X
ap-1201	133	16	vεψ])ε=0	vεψ])ε=0	X
ap-1201	133	17	=	=	SYM
ap-1201	133	18	d	d	X
ap-1201	133	19	dε	dε	X
ap-1201	133	20	(	(	PUNCT
ap-1201	133	21	n	n	PRON
ap-1201	133	22	[	[	X
ap-1201	133	23	ψ	ψ	X
ap-1201	133	24	+	+	CCONJ
ap-1201	133	25	iεaψ])ε=0	iεaψ])ε=0	PROPN
ap-1201	133	26	≡	≡	PROPN
ap-1201	133	27	(	(	PUNCT
ap-1201	133	28	17	17	NUM
ap-1201	133	29	)	)	PUNCT
ap-1201	133	30	ian	ian	PROPN
ap-1201	133	31	·	·	PUNCT
ap-1201	133	32	n	n	X
ap-1201	134	1	[	[	X
ap-1201	134	2	ψ	ψ	X
ap-1201	134	3	]	]	X
ap-1201	134	4	.	.	PUNCT
ap-1201	135	1	on	on	ADP
ap-1201	135	2	a	a	DET
ap-1201	135	3	domain	domain	NOUN
ap-1201	135	4	in	in	ADP
ap-1201	135	5	which	which	PRON
ap-1201	135	6	the	the	DET
ap-1201	135	7	limit	limit	NOUN
ap-1201	135	8	exists	exist	VERB
ap-1201	135	9	.	.	PUNCT
ap-1201	136	1	for	for	ADP
ap-1201	136	2	differential	differential	ADJ
ap-1201	136	3	operators	operator	NOUN
ap-1201	136	4	an	an	DET
ap-1201	136	5	this	this	DET
ap-1201	136	6	domain	domain	NOUN
ap-1201	136	7	can	can	AUX
ap-1201	136	8	be	be	AUX
ap-1201	136	9	extended	extend	VERB
ap-1201	136	10	in	in	ADP
ap-1201	136	11	l2(r3	l2(r3	PRON
ap-1201	136	12	,	,	PUNCT
ap-1201	136	13	d3x	d3x	NOUN
ap-1201	136	14	)	)	PUNCT
ap-1201	136	15	.	.	PUNCT
ap-1201	137	1	for	for	ADP
ap-1201	137	2	some	some	DET
ap-1201	137	3	not	not	PART
ap-1201	137	4	esa	esa	PROPN
ap-1201	137	5	linear	linear	PROPN
ap-1201	137	6	a	a	PRON
ap-1201	137	7	this	this	DET
ap-1201	137	8	construction	construction	NOUN
ap-1201	137	9	is	be	AUX
ap-1201	137	10	also	also	ADV
ap-1201	137	11	possible	possible	ADJ
ap-1201	137	12	.	.	PUNCT
ap-1201	138	1	4.2	4.2	NUM
ap-1201	138	2	choice	choice	NOUN
ap-1201	138	3	of	of	ADP
ap-1201	138	4	nonlinear	nonlinear	ADJ
ap-1201	138	5	transformations	transformation	NOUN
ap-1201	138	6	our	our	PRON
ap-1201	138	7	aim	aim	NOUN
ap-1201	138	8	is	be	AUX
ap-1201	138	9	to	to	PART
ap-1201	138	10	determine	determine	VERB
ap-1201	138	11	a	a	DET
ap-1201	138	12	set	set	NOUN
ap-1201	138	13	n	n	PROPN
ap-1201	138	14	of	of	ADP
ap-1201	138	15	nonlinear	nonlinear	ADJ
ap-1201	138	16	transformations	transformation	NOUN
ap-1201	138	17	such	such	ADJ
ap-1201	138	18	that	that	DET
ap-1201	138	19	qd	qd	PROPN
ap-1201	138	20	,	,	PUNCT
ap-1201	138	21	pd	pd	X
ap-1201	138	22	in	in	ADP
ap-1201	138	23	(	(	PUNCT
ap-1201	138	24	15	15	NUM
ap-1201	138	25	)	)	PUNCT
ap-1201	138	26	qd	qd	NOUN
ap-1201	138	27	=	=	SYM
ap-1201	138	28	f	f	PROPN
ap-1201	138	29	,	,	PUNCT
ap-1201	138	30	pd	pd	X
ap-1201	138	31	=	=	SYM
ap-1201	138	32	1	1	NUM
ap-1201	138	33	i	i	PRON
ap-1201	138	34	−→g	−→g	NOUN
ap-1201	138	35	·	·	PUNCT
ap-1201	139	1	−→∇	−→∇	X
ap-1201	140	1	+	+	CCONJ
ap-1201	140	2	(	(	PUNCT
ap-1201	140	3	1	1	NUM
ap-1201	140	4	2i	2i	NUM
ap-1201	140	5	+	+	NOUN
ap-1201	140	6	d	d	NOUN
ap-1201	140	7	)	)	PUNCT
ap-1201	140	8	div−→g	div−→g	VERB
ap-1201	140	9	79	79	NUM
ap-1201	140	10	acta	acta	PROPN
ap-1201	140	11	polytechnica	polytechnica	PROPN
ap-1201	140	12	vol	vol	NOUN
ap-1201	140	13	.	.	PROPN
ap-1201	141	1	50	50	NUM
ap-1201	141	2	no	no	NOUN
ap-1201	141	3	.	.	PUNCT
ap-1201	142	1	3/2010	3/2010	NUM
ap-1201	142	2	are	be	AUX
ap-1201	142	3	connected	connect	VERB
ap-1201	142	4	for	for	ADP
ap-1201	142	5	different	different	ADJ
ap-1201	142	6	d	d	NOUN
ap-1201	142	7	through	through	ADP
ap-1201	142	8	a	a	DET
ap-1201	142	9	tangent	tangent	NOUN
ap-1201	142	10	map	map	NOUN
ap-1201	142	11	with	with	ADP
ap-1201	142	12	n	n	PRON
ap-1201	142	13	∈	∈	NOUN
ap-1201	142	14	n	n	ADV
ap-1201	142	15	qd′	qd′	NOUN
ap-1201	142	16	=	=	SYM
ap-1201	142	17	qd	qd	NOUN
ap-1201	142	18	n	n	NOUN
ap-1201	142	19	with	with	ADP
ap-1201	142	20	qd′	qd′	PROPN
ap-1201	142	21	=	=	SYM
ap-1201	142	22	qd	qd	NOUN
ap-1201	142	23	n	n	NOUN
ap-1201	142	24	,	,	PUNCT
ap-1201	142	25	pd′	pd′	PROPN
ap-1201	142	26	=	=	PUNCT
ap-1201	142	27	pd	pd	PROPN
ap-1201	142	28	n	n	PROPN
ap-1201	142	29	.	.	PUNCT
ap-1201	143	1	(	(	PUNCT
ap-1201	143	2	18	18	NUM
ap-1201	143	3	)	)	PUNCT
ap-1201	143	4	an	an	DET
ap-1201	143	5	evaluation	evaluation	NOUN
ap-1201	143	6	of	of	ADP
ap-1201	143	7	these	these	DET
ap-1201	143	8	conditions	condition	NOUN
ap-1201	143	9	is	be	AUX
ap-1201	143	10	indeed	indeed	ADV
ap-1201	143	11	possible	possible	ADJ
ap-1201	143	12	;	;	PUNCT
ap-1201	143	13	the	the	DET
ap-1201	143	14	calculation	calculation	NOUN
ap-1201	143	15	is	be	AUX
ap-1201	143	16	straightforward	straightforward	ADJ
ap-1201	143	17	.	.	PUNCT
ap-1201	144	1	with	with	ADP
ap-1201	144	2	a	a	PRON
ap-1201	144	3	(	(	PUNCT
ap-1201	144	4	non	non	X
ap-1201	144	5	unique	unique	ADJ
ap-1201	144	6	)	)	PUNCT
ap-1201	144	7	polar	polar	ADJ
ap-1201	144	8	decomposition	decomposition	NOUN
ap-1201	144	9	ψ	ψ	NOUN
ap-1201	144	10	=	=	SYM
ap-1201	144	11	r	r	NOUN
ap-1201	144	12	exp	exp	NOUN
ap-1201	144	13	is	be	AUX
ap-1201	144	14	we	we	PRON
ap-1201	144	15	find	find	VERB
ap-1201	144	16	for	for	ADP
ap-1201	144	17	the	the	DET
ap-1201	144	18	nonlinear	nonlinear	ADJ
ap-1201	144	19	transformations	transformation	NOUN
ap-1201	144	20	n	n	PRON
ap-1201	144	21	n(γ	n(γ	NOUN
ap-1201	144	22	,	,	PUNCT
ap-1201	144	23	λ)ψ	λ)ψ	X
ap-1201	144	24	=	=	SYM
ap-1201	144	25	exp	exp	PROPN
ap-1201	144	26	i(γ	i(γ	PROPN
ap-1201	144	27	lnr+	lnr+	PROPN
ap-1201	144	28	(	(	PUNCT
ap-1201	144	29	λ−	λ−	PROPN
ap-1201	144	30	1)s	1)s	NUM
ap-1201	144	31	)	)	PUNCT
ap-1201	144	32	·	·	PUNCT
ap-1201	145	1	ψ	ψ	X
ap-1201	145	2	.	.	PUNCT
ap-1201	145	3	(	(	PUNCT
ap-1201	145	4	19	19	NUM
ap-1201	145	5	)	)	PUNCT
ap-1201	145	6	they	they	PRON
ap-1201	145	7	build	build	VERB
ap-1201	145	8	a	a	DET
ap-1201	145	9	nonlinear	nonlinear	ADJ
ap-1201	145	10	representation	representation	NOUN
ap-1201	145	11	ng	ng	PROPN
ap-1201	145	12	=	=	PRON
ap-1201	145	13	{	{	PUNCT
ap-1201	145	14	n(γ	n(γ	X
ap-1201	145	15	,	,	PUNCT
ap-1201	145	16	λ	λ	NOUN
ap-1201	145	17	)	)	PUNCT
ap-1201	145	18	}	}	PUNCT
ap-1201	145	19	of	of	ADP
ap-1201	145	20	two	two	NUM
ap-1201	145	21	parameter	parameter	NOUN
ap-1201	145	22	(	(	PUNCT
ap-1201	145	23	γ	γ	X
ap-1201	145	24	,	,	PUNCT
ap-1201	145	25	λ	λ	NOUN
ap-1201	145	26	)	)	PUNCT
ap-1201	145	27	groupg	groupg	NOUN
ap-1201	145	28	.	.	PUNCT
ap-1201	146	1	the	the	DET
ap-1201	146	2	group	group	NOUN
ap-1201	146	3	ng	ng	PROPN
ap-1201	146	4	was	be	AUX
ap-1201	146	5	derived	derive	VERB
ap-1201	146	6	in	in	ADP
ap-1201	146	7	a	a	DET
ap-1201	146	8	different	different	ADJ
ap-1201	146	9	context	context	NOUN
ap-1201	146	10	and	and	CCONJ
ap-1201	146	11	with	with	ADP
ap-1201	146	12	other	other	ADJ
ap-1201	146	13	assumptions	assumption	NOUN
ap-1201	146	14	in	in	ADP
ap-1201	146	15	[	[	X
ap-1201	146	16	17	17	NUM
ap-1201	146	17	]	]	PUNCT
ap-1201	146	18	.	.	PUNCT
ap-1201	147	1	for	for	ADP
ap-1201	147	2	the	the	DET
ap-1201	147	3	corresponding	corresponding	ADJ
ap-1201	147	4	tangent	tangent	NOUN
ap-1201	147	5	maps	map	NOUN
ap-1201	147	6	we	we	PRON
ap-1201	147	7	find	find	VERB
ap-1201	147	8	qd	qd	NOUN
ap-1201	147	9	=	=	SYM
ap-1201	147	10	q0n(γ	q0n(γ	PROPN
ap-1201	147	11	,	,	PUNCT
ap-1201	147	12	λ	λ	PROPN
ap-1201	147	13	)	)	PUNCT
ap-1201	147	14	with	with	ADP
ap-1201	147	15	γ	γ	X
ap-1201	147	16	=	=	SYM
ap-1201	147	17	2d	2d	NUM
ap-1201	147	18	,	,	PUNCT
ap-1201	147	19	λ.arbitrary	λ.arbitrary	ADJ
ap-1201	147	20	qd′	qd′	NOUN
ap-1201	147	21	=	=	SYM
ap-1201	147	22	qd	qd	ADP
ap-1201	147	23	n(γ	n(γ	NOUN
ap-1201	147	24	,	,	PUNCT
ap-1201	147	25	λ	λ	NOUN
ap-1201	147	26	)	)	PUNCT
ap-1201	147	27	with	with	ADP
ap-1201	147	28	γ	γ	PROPN
ap-1201	147	29	=	=	SYM
ap-1201	147	30	2(d′	2(d′	PROPN
ap-1201	147	31	−d	−d	PROPN
ap-1201	147	32	)	)	PUNCT
ap-1201	147	33	,	,	PUNCT
ap-1201	147	34	λ	λ	X
ap-1201	147	35	=	=	SYM
ap-1201	147	36	1.(20	1.(20	NUM
ap-1201	147	37	)	)	PUNCT
ap-1201	147	38	hence	hence	ADV
ap-1201	147	39	our	our	PRON
ap-1201	147	40	search	search	NOUN
ap-1201	147	41	for	for	ADP
ap-1201	147	42	a	a	DET
ap-1201	147	43	hidden	hide	VERB
ap-1201	147	44	symmetry	symmetry	NOUN
ap-1201	147	45	was	be	AUX
ap-1201	147	46	successful	successful	ADJ
ap-1201	147	47	.	.	PUNCT
ap-1201	148	1	the	the	DET
ap-1201	148	2	result	result	NOUN
ap-1201	148	3	implies	imply	VERB
ap-1201	148	4	:	:	PUNCT
ap-1201	148	5	•	•	NUM
ap-1201	148	6	quantizations	quantization	NOUN
ap-1201	148	7	qd	qd	NOUN
ap-1201	148	8	and	and	CCONJ
ap-1201	148	9	qd′	qd′	PROPN
ap-1201	148	10	are	be	AUX
ap-1201	148	11	inequivalent	inequivalent	ADJ
ap-1201	148	12	in	in	ADP
ap-1201	148	13	respect	respect	NOUN
ap-1201	148	14	to	to	ADP
ap-1201	148	15	the	the	DET
ap-1201	148	16	group	group	NOUN
ap-1201	148	17	of	of	ADP
ap-1201	148	18	unitary	unitary	ADJ
ap-1201	148	19	transformations	transformation	NOUN
ap-1201	148	20	but	but	CCONJ
ap-1201	148	21	‘	'	PUNCT
ap-1201	148	22	equivalent	equivalent	ADJ
ap-1201	148	23	’	'	PUNCT
ap-1201	148	24	in	in	ADP
ap-1201	148	25	respect	respect	NOUN
ap-1201	148	26	to	to	ADP
ap-1201	148	27	a	a	DET
ap-1201	148	28	nonlinear	nonlinear	ADJ
ap-1201	148	29	realization	realization	NOUN
ap-1201	148	30	ng	ng	PROPN
ap-1201	148	31	of	of	ADP
ap-1201	148	32	a	a	DET
ap-1201	148	33	matrix	matrix	NOUN
ap-1201	148	34	group	group	NOUN
ap-1201	148	35	g	g	NOUN
ap-1201	148	36	with	with	ADP
ap-1201	148	37	one	one	NUM
ap-1201	148	38	and	and	CCONJ
ap-1201	148	39	for	for	ADP
ap-1201	148	40	d	d	PROPN
ap-1201	148	41	=	=	SYM
ap-1201	148	42	0	0	NUM
ap-1201	148	43	and	and	CCONJ
ap-1201	148	44	for	for	ADP
ap-1201	148	45	d′	d′	NUM
ap-1201	148	46	�	�	X
ap-1201	148	47	=	=	NOUN
ap-1201	148	48	0	0	NUM
ap-1201	148	49	with	with	ADP
ap-1201	148	50	two	two	NUM
ap-1201	148	51	real	real	ADJ
ap-1201	148	52	parameters	parameter	NOUN
ap-1201	148	53	.	.	PUNCT
ap-1201	149	1	the	the	DET
ap-1201	149	2	quantum	quantum	ADJ
ap-1201	149	3	number	number	NOUN
ap-1201	149	4	d	d	NOUN
ap-1201	149	5	leads	lead	VERB
ap-1201	149	6	to	to	ADP
ap-1201	149	7	a	a	DET
ap-1201	149	8	nonlinear	nonlinear	ADJ
ap-1201	149	9	representation	representation	NOUN
ap-1201	149	10	of	of	ADP
ap-1201	149	11	a	a	DET
ap-1201	149	12	g	g	NOUN
ap-1201	149	13	symmetry	symmetry	NOUN
ap-1201	149	14	of	of	ADP
ap-1201	149	15	{	{	PUNCT
ap-1201	149	16	qd(k(r3	qd(k(r3	PROPN
ap-1201	149	17	)	)	PUNCT
ap-1201	149	18	)	)	PUNCT
ap-1201	149	19	}	}	PUNCT
ap-1201	149	20	.	.	PUNCT
ap-1201	150	1	4.3	4.3	NUM
ap-1201	150	2	nonlinear	nonlinear	ADJ
ap-1201	150	3	quantizations	quantization	NOUN
ap-1201	150	4	and	and	CCONJ
ap-1201	150	5	symmetries	symmetry	NOUN
ap-1201	150	6	we	we	PRON
ap-1201	150	7	now	now	ADV
ap-1201	150	8	extend	extend	VERB
ap-1201	150	9	our	our	PRON
ap-1201	150	10	construction	construction	NOUN
ap-1201	150	11	from	from	ADP
ap-1201	150	12	linear	linear	PROPN
ap-1201	150	13	first	first	ADV
ap-1201	150	14	and	and	CCONJ
ap-1201	150	15	zero	zero	NUM
ap-1201	150	16	order	order	NOUN
ap-1201	150	17	differential	differential	NOUN
ap-1201	150	18	operators	operator	NOUN
ap-1201	150	19	in	in	ADP
ap-1201	150	20	q(r3	q(r3	PROPN
ap-1201	150	21	,	,	PUNCT
ap-1201	150	22	k	k	NOUN
ap-1201	150	23	)	)	PUNCT
ap-1201	150	24	to	to	PART
ap-1201	150	25	esa	esa	PROPN
ap-1201	150	26	higher	high	ADJ
ap-1201	150	27	order	order	NOUN
ap-1201	150	28	differential	differential	NOUN
ap-1201	150	29	operators	operator	NOUN
ap-1201	150	30	operators	operator	NOUN
ap-1201	150	31	in	in	ADP
ap-1201	150	32	polynomials	polynomial	NOUN
ap-1201	150	33	of	of	ADP
ap-1201	150	34	canonically	canonically	ADV
ap-1201	150	35	quantized	quantize	VERB
ap-1201	150	36	observables	observable	NOUN
ap-1201	150	37	d	d	X
ap-1201	150	38	∈	∈	PROPN
ap-1201	150	39	pesa(q	pesa(q	NOUN
ap-1201	150	40	0(f),p0(x	0(f),p0(x	NUM
ap-1201	150	41	)	)	PUNCT
ap-1201	150	42	)	)	PUNCT
ap-1201	150	43	.	.	PUNCT
ap-1201	151	1	an	an	DET
ap-1201	151	2	application	application	NOUN
ap-1201	151	3	of	of	ADP
ap-1201	151	4	tangent	tangent	NOUN
ap-1201	151	5	maps	map	NOUN
ap-1201	151	6	leads	lead	VERB
ap-1201	151	7	to	to	ADP
ap-1201	151	8	n(γ	n(γ	NUM
ap-1201	151	9	,	,	PUNCT
ap-1201	151	10	λ	λ	PROPN
ap-1201	151	11	):	):	PUNCT
ap-1201	151	12	d	d	PROPN
ap-1201	151	13	�	�	PROPN
ap-1201	151	14	→	→	SYM
ap-1201	151	15	dn(γ	dn(γ	NUM
ap-1201	151	16	,	,	PUNCT
ap-1201	151	17	λ	λ	NOUN
ap-1201	151	18	)	)	PUNCT
ap-1201	151	19	(	(	PUNCT
ap-1201	151	20	21	21	NUM
ap-1201	151	21	)	)	PUNCT
ap-1201	151	22	i.e.	i.e.	X
ap-1201	151	23	to	to	ADP
ap-1201	151	24	a	a	DET
ap-1201	151	25	two	two	NUM
ap-1201	151	26	parameter	parameter	NOUN
ap-1201	151	27	set	set	NOUN
ap-1201	151	28	of	of	ADP
ap-1201	151	29	nonlinear	nonlinear	ADJ
ap-1201	151	30	differential	differential	PROPN
ap-1201	151	31	operators	operator	NOUN
ap-1201	151	32	dn(γ	dn(γ	PART
ap-1201	151	33	,	,	PUNCT
ap-1201	151	34	λ	λ	PROPN
ap-1201	151	35	)	)	PUNCT
ap-1201	151	36	.	.	PUNCT
ap-1201	152	1	this	this	DET
ap-1201	152	2	nonlinear	nonlinear	ADJ
ap-1201	152	3	‘	'	PUNCT
ap-1201	152	4	extension	extension	NOUN
ap-1201	152	5	’	'	PUNCT
ap-1201	152	6	of	of	ADP
ap-1201	152	7	canonically	canonically	ADV
ap-1201	152	8	quantized	quantize	VERB
ap-1201	152	9	polynomials	polynomial	NOUN
ap-1201	152	10	d	d	NOUN
ap-1201	152	11	of	of	ADP
ap-1201	152	12	classical	classical	ADJ
ap-1201	152	13	observables	observable	NOUN
ap-1201	152	14	through	through	ADP
ap-1201	152	15	tangent	tangent	NOUN
ap-1201	152	16	maps	map	NOUN
ap-1201	152	17	with	with	ADP
ap-1201	152	18	ng	ng	PROPN
ap-1201	152	19	is	be	AUX
ap-1201	152	20	an	an	DET
ap-1201	152	21	attempt	attempt	NOUN
ap-1201	152	22	for	for	ADP
ap-1201	152	23	a	a	DET
ap-1201	152	24	formal	formal	ADJ
ap-1201	152	25	path	path	NOUN
ap-1201	152	26	to	to	AUX
ap-1201	152	27	nonlinear	nonlinear	ADJ
ap-1201	152	28	‘	'	PUNCT
ap-1201	152	29	extensions	extension	NOUN
ap-1201	152	30	’	'	PUNCT
ap-1201	152	31	of	of	ADP
ap-1201	152	32	quantum	quantum	ADJ
ap-1201	152	33	mechanics	mechanic	NOUN
ap-1201	152	34	.	.	PUNCT
ap-1201	153	1	however	however	ADV
ap-1201	153	2	,	,	PUNCT
ap-1201	153	3	an	an	DET
ap-1201	153	4	interpretation	interpretation	NOUN
ap-1201	153	5	of	of	ADP
ap-1201	153	6	nonlinear	nonlinear	ADJ
ap-1201	153	7	operators	operator	NOUN
ap-1201	153	8	and	and	CCONJ
ap-1201	153	9	nonlinear	nonlinear	ADJ
ap-1201	153	10	evolutions	evolution	NOUN
ap-1201	153	11	as	as	ADP
ap-1201	153	12	in	in	ADP
ap-1201	153	13	(	(	PUNCT
ap-1201	153	14	linear	linear	ADJ
ap-1201	153	15	)	)	PUNCT
ap-1201	153	16	quantum	quantum	NOUN
ap-1201	153	17	theory	theory	NOUN
ap-1201	153	18	is	be	AUX
ap-1201	153	19	not	not	PART
ap-1201	153	20	possible	possible	ADJ
ap-1201	153	21	.	.	PUNCT
ap-1201	154	1	results	result	NOUN
ap-1201	154	2	from	from	ADP
ap-1201	154	3	a	a	DET
ap-1201	154	4	nonlinear	nonlinear	ADJ
ap-1201	154	5	theory	theory	NOUN
ap-1201	154	6	can	can	AUX
ap-1201	154	7	be	be	AUX
ap-1201	154	8	interpreted	interpret	VERB
ap-1201	154	9	in	in	ADP
ap-1201	154	10	some	some	DET
ap-1201	154	11	approximation	approximation	NOUN
ap-1201	154	12	as	as	ADP
ap-1201	154	13	in	in	ADP
ap-1201	154	14	the	the	DET
ap-1201	154	15	linear	linear	ADJ
ap-1201	154	16	case	case	NOUN
ap-1201	154	17	,	,	PUNCT
ap-1201	154	18	e.g.	e.g.	ADV
ap-1201	154	19	the	the	DET
ap-1201	154	20	eigenvalues	eigenvalue	NOUN
ap-1201	154	21	of	of	ADP
ap-1201	154	22	a	a	DET
ap-1201	154	23	nonlinear	nonlinear	ADJ
ap-1201	154	24	schrödinger	schrödinger	NOUN
ap-1201	154	25	equation	equation	NOUN
ap-1201	154	26	(	(	PUNCT
ap-1201	154	27	22	22	NUM
ap-1201	154	28	)	)	PUNCT
ap-1201	154	29	(	(	PUNCT
ap-1201	154	30	see	see	VERB
ap-1201	154	31	[	[	X
ap-1201	154	32	18	18	NUM
ap-1201	154	33	]	]	NUM
ap-1201	154	34	)	)	PUNCT
ap-1201	154	35	.	.	PUNCT
ap-1201	155	1	a	a	DET
ap-1201	155	2	complete	complete	ADJ
ap-1201	155	3	mathematical	mathematical	ADJ
ap-1201	155	4	framework	framework	NOUN
ap-1201	155	5	and	and	CCONJ
ap-1201	155	6	convincing	convincing	ADJ
ap-1201	155	7	physical	physical	ADJ
ap-1201	155	8	interpretations	interpretation	NOUN
ap-1201	155	9	for	for	ADP
ap-1201	155	10	a	a	DET
ap-1201	155	11	nonlinear	nonlinear	ADJ
ap-1201	155	12	‘	'	PUNCT
ap-1201	155	13	extension	extension	NOUN
ap-1201	155	14	’	'	PUNCT
ap-1201	155	15	is	be	AUX
ap-1201	155	16	not	not	PART
ap-1201	155	17	known	know	VERB
ap-1201	155	18	.	.	PUNCT
ap-1201	156	1	with	with	ADP
ap-1201	156	2	(	(	PUNCT
ap-1201	156	3	21	21	NUM
ap-1201	156	4	)	)	PUNCT
ap-1201	156	5	one	one	NOUN
ap-1201	156	6	obtains	obtain	VERB
ap-1201	156	7	an	an	DET
ap-1201	156	8	already	already	ADV
ap-1201	156	9	mentioned	mention	VERB
ap-1201	156	10	nonlinear	nonlinear	ADJ
ap-1201	156	11	realization	realization	NOUN
ap-1201	156	12	of	of	ADP
ap-1201	156	13	g(3	g(3	PROPN
ap-1201	156	14	)	)	PUNCT
ap-1201	156	15	with	with	ADP
ap-1201	156	16	linear	linear	ADJ
ap-1201	156	17	generators	generator	NOUN
ap-1201	156	18	of	of	ADP
ap-1201	156	19	the	the	DET
ap-1201	156	20	galilei	galilei	NOUN
ap-1201	156	21	-	-	PUNCT
ap-1201	156	22	algebra	algebra	NOUN
ap-1201	156	23	with	with	ADP
ap-1201	156	24	the	the	DET
ap-1201	156	25	exception	exception	NOUN
ap-1201	156	26	of	of	ADP
ap-1201	156	27	the	the	DET
ap-1201	156	28	free	free	ADJ
ap-1201	156	29	hamiltonian	hamiltonian	NOUN
ap-1201	156	30	which	which	PRON
ap-1201	156	31	appears	appear	VERB
ap-1201	156	32	as	as	ADP
ap-1201	156	33	nonlinear	nonlinear	ADJ
ap-1201	156	34	operator	operator	NOUN
ap-1201	156	35	.	.	PUNCT
ap-1201	157	1	furthermore	furthermore	ADV
ap-1201	157	2	one	one	NOUN
ap-1201	157	3	gets	get	VERB
ap-1201	157	4	with	with	ADP
ap-1201	157	5	n	n	PRON
ap-1201	157	6	∈	∈	PROPN
ap-1201	157	7	ng	ng	PROPN
ap-1201	157	8	from	from	ADP
ap-1201	157	9	a	a	DET
ap-1201	157	10	given	give	VERB
ap-1201	157	11	linear	linear	PROPN
ap-1201	157	12	schrödinger	schrödinger	NOUN
ap-1201	157	13	equation	equation	NOUN
ap-1201	157	14	a	a	DET
ap-1201	157	15	nonlinear	nonlinear	ADJ
ap-1201	157	16	one	one	NOUN
ap-1201	157	17	with	with	ADP
ap-1201	157	18	nonlinear	nonlinear	ADJ
ap-1201	157	19	part	part	NOUN
ap-1201	157	20	f	f	PROPN
ap-1201	158	1	[	[	X
ap-1201	158	2	ψ	ψ	X
ap-1201	158	3	]	]	X
ap-1201	158	4	which	which	PRON
ap-1201	158	5	depends	depend	VERB
ap-1201	158	6	on	on	ADP
ap-1201	158	7	γ	γ	PROPN
ap-1201	158	8	,	,	PUNCT
ap-1201	158	9	λ	λ	PROPN
ap-1201	158	10	.	.	PUNCT
ap-1201	159	1	this	this	DET
ap-1201	159	2	nonlinear	nonlinear	ADJ
ap-1201	159	3	equation	equation	NOUN
ap-1201	159	4	was	be	AUX
ap-1201	159	5	generalized	generalize	VERB
ap-1201	159	6	in	in	ADP
ap-1201	159	7	[	[	X
ap-1201	159	8	19	19	NUM
ap-1201	159	9	]	]	PUNCT
ap-1201	159	10	to	to	ADP
ap-1201	159	11	a	a	DET
ap-1201	159	12	nonlinearisable	nonlinearisable	ADJ
ap-1201	159	13	schrödinger	schrödinger	NOUN
ap-1201	159	14	equation	equation	NOUN
ap-1201	159	15	(	(	PUNCT
ap-1201	159	16	known	know	VERB
ap-1201	159	17	as	as	ADP
ap-1201	159	18	the	the	DET
ap-1201	159	19	doebner	doebner	NOUN
ap-1201	159	20	goldin	goldin	NOUN
ap-1201	159	21	equation	equation	NOUN
ap-1201	159	22	)	)	PUNCT
ap-1201	159	23	with	with	ADP
ap-1201	159	24	real	real	ADJ
ap-1201	159	25	coefficients	coefficient	NOUN
ap-1201	159	26	d	d	NOUN
ap-1201	159	27	,	,	PUNCT
ap-1201	159	28	λ1	λ1	ADJ
ap-1201	159	29	,	,	PUNCT
ap-1201	159	30	.	.	PUNCT
ap-1201	159	31	.	.	PUNCT
ap-1201	160	1	.	.	PUNCT
ap-1201	161	1	,	,	PUNCT
ap-1201	161	2	λ5	λ5	VERB
ap-1201	161	3	ih̄∂t	ih̄∂t	PUNCT
ap-1201	161	4	=	=	PRON
ap-1201	161	5	(	(	PUNCT
ap-1201	161	6	−h̄2/2m%+	−h̄2/2m%+	NUM
ap-1201	161	7	f	f	X
ap-1201	162	1	[	[	X
ap-1201	162	2	ψ])ψ	ψ])ψ	NOUN
ap-1201	162	3	f	f	X
ap-1201	163	1	[	[	X
ap-1201	163	2	ψ	ψ	X
ap-1201	163	3	]	]	X
ap-1201	163	4	=	=	SYM
ap-1201	163	5	ih̄d	ih̄d	ADV
ap-1201	163	6	2	2	NUM
ap-1201	163	7	%	%	NOUN
ap-1201	163	8	ρ	ρ	NOUN
ap-1201	163	9	ρ	ρ	PROPN
ap-1201	164	1	+	+	PROPN
ap-1201	164	2	h̄d	h̄d	PROPN
ap-1201	164	3	{	{	PUNCT
ap-1201	164	4	λ1r1	λ1r1	NOUN
ap-1201	164	5	+	+	X
ap-1201	164	6	.	.	PUNCT
ap-1201	164	7	.	.	PUNCT
ap-1201	165	1	.+	.+	NOUN
ap-1201	165	2	λ5r5	λ5r5	VERB
ap-1201	165	3	}	}	PUNCT
ap-1201	165	4	(	(	PUNCT
ap-1201	165	5	22	22	NUM
ap-1201	165	6	)	)	PUNCT
ap-1201	165	7	with	with	ADP
ap-1201	165	8	ρ	ρ	PROPN
ap-1201	165	9	=	=	SYM
ap-1201	165	10	ψψ	ψψ	PROPN
ap-1201	165	11	,	,	PUNCT
ap-1201	165	12	j	j	PROPN
ap-1201	165	13	=	=	SYM
ap-1201	165	14	h̄	h̄	NOUN
ap-1201	165	15	2mi	2mi	NOUN
ap-1201	165	16	{	{	PUNCT
ap-1201	165	17	ψ∇ψ	ψ∇ψ	PROPN
ap-1201	165	18	−∇ψψ	−∇ψψ	PROPN
ap-1201	165	19	}	}	PUNCT
ap-1201	165	20	r1[ψ	r1[ψ	NOUN
ap-1201	165	21	]	]	PUNCT
ap-1201	165	22	=	=	SYM
ap-1201	165	23	∇	∇	X
ap-1201	165	24	·	·	PUNCT
ap-1201	165	25	j	j	PROPN
ap-1201	165	26	ρ	ρ	PROPN
ap-1201	165	27	,	,	PUNCT
ap-1201	165	28	r2[ψ	r2[ψ	PROPN
ap-1201	165	29	]	]	X
ap-1201	166	1	=	=	PUNCT
ap-1201	166	2	%	%	INTJ
ap-1201	166	3	ρ	ρ	PROPN
ap-1201	166	4	ρ	ρ	PROPN
ap-1201	166	5	,	,	PUNCT
ap-1201	166	6	r3[ψ	r3[ψ	NOUN
ap-1201	166	7	]	]	PUNCT
ap-1201	166	8	=	=	SYM
ap-1201	166	9	j2	j2	PROPN
ap-1201	166	10	ρ2	ρ2	PROPN
ap-1201	166	11	r4[ψ	r4[ψ	PROPN
ap-1201	166	12	]	]	PUNCT
ap-1201	167	1	=	=	PUNCT
ap-1201	167	2	j	j	PROPN
ap-1201	167	3	·	·	PUNCT
ap-1201	167	4	∇ρ	∇ρ	PROPN
ap-1201	167	5	ρ2	ρ2	PROPN
ap-1201	167	6	,	,	PUNCT
ap-1201	167	7	r5[ψ	r5[ψ	NOUN
ap-1201	167	8	]	]	PUNCT
ap-1201	168	1	=	=	PUNCT
ap-1201	168	2	∇ρ	∇ρ	PROPN
ap-1201	168	3	·	·	PUNCT
ap-1201	168	4	∇ρ	∇ρ	PROPN
ap-1201	168	5	ρ2	ρ2	PROPN
ap-1201	168	6	5	5	NUM
ap-1201	168	7	conclusion	conclusion	NOUN
ap-1201	168	8	we	we	PRON
ap-1201	168	9	announced	announce	VERB
ap-1201	168	10	in	in	ADP
ap-1201	168	11	the	the	DET
ap-1201	168	12	preview	preview	NOUN
ap-1201	168	13	that	that	PRON
ap-1201	168	14	we	we	PRON
ap-1201	168	15	would	would	AUX
ap-1201	168	16	relate	relate	VERB
ap-1201	168	17	global	global	ADJ
ap-1201	168	18	and	and	CCONJ
ap-1201	168	19	nonlinear	nonlinear	ADJ
ap-1201	168	20	structures	structure	NOUN
ap-1201	168	21	of	of	ADP
ap-1201	168	22	quantum	quantum	ADJ
ap-1201	168	23	maps	map	NOUN
ap-1201	168	24	q(m	q(m	PROPN
ap-1201	168	25	,	,	PUNCT
ap-1201	168	26	k	k	NOUN
ap-1201	168	27	)	)	PUNCT
ap-1201	168	28	for	for	ADP
ap-1201	168	29	the	the	DET
ap-1201	168	30	borel	borel	PROPN
ap-1201	168	31	kinematics	kinematics	PROPN
ap-1201	168	32	k(m	k(m	PROPN
ap-1201	168	33	)	)	PUNCT
ap-1201	168	34	of	of	ADP
ap-1201	168	35	nonrelativistic	nonrelativistic	ADJ
ap-1201	168	36	systems	system	NOUN
ap-1201	168	37	onm	onm	NOUN
ap-1201	168	38	without	without	ADP
ap-1201	168	39	internal	internal	ADJ
ap-1201	168	40	degrees	degree	NOUN
ap-1201	168	41	of	of	ADP
ap-1201	168	42	freedom	freedom	NOUN
ap-1201	168	43	and	and	CCONJ
ap-1201	168	44	external	external	ADJ
ap-1201	168	45	fields	field	NOUN
ap-1201	168	46	with	with	ADP
ap-1201	168	47	application	application	NOUN
ap-1201	168	48	for	for	ADP
ap-1201	168	49	q(r3	q(r3	NOUN
ap-1201	168	50	,	,	PUNCT
ap-1201	168	51	k	k	NOUN
ap-1201	168	52	)	)	PUNCT
ap-1201	168	53	.	.	PUNCT
ap-1201	169	1	•	•	NUM
ap-1201	169	2	inequivalent	inequivalent	NOUN
ap-1201	169	3	quantum	quantum	NOUN
ap-1201	169	4	maps	map	NOUN
ap-1201	169	5	{	{	PUNCT
ap-1201	169	6	qα	qα	PROPN
ap-1201	169	7	,	,	PUNCT
ap-1201	169	8	d(m	d(m	PROPN
ap-1201	169	9	,	,	PUNCT
ap-1201	169	10	k	k	NOUN
ap-1201	169	11	)	)	PUNCT
ap-1201	169	12	}	}	PUNCT
ap-1201	169	13	,	,	PUNCT
ap-1201	169	14	labelled	label	VERB
ap-1201	169	15	through	through	ADP
ap-1201	169	16	quantum	quantum	ADJ
ap-1201	169	17	numbers	number	NOUN
ap-1201	169	18	α	α	NOUN
ap-1201	169	19	,	,	PUNCT
ap-1201	169	20	d	d	NOUN
ap-1201	169	21	in	in	ADP
ap-1201	169	22	the	the	DET
ap-1201	169	23	sense	sense	NOUN
ap-1201	169	24	of	of	ADP
ap-1201	169	25	wigner	wigner	NOUN
ap-1201	169	26	which	which	PRON
ap-1201	169	27	reflect	reflect	VERB
ap-1201	169	28	topological	topological	ADJ
ap-1201	169	29	and	and	CCONJ
ap-1201	169	30	global	global	ADJ
ap-1201	169	31	properties	property	NOUN
ap-1201	169	32	of	of	ADP
ap-1201	169	33	m	m	PROPN
ap-1201	169	34	and	and	CCONJ
ap-1201	169	35	k(m	k(m	PROPN
ap-1201	169	36	)	)	PUNCT
ap-1201	169	37	.	.	PUNCT
ap-1201	170	1	experiments	experiment	NOUN
ap-1201	170	2	to	to	PART
ap-1201	170	3	measure	measure	VERB
ap-1201	170	4	effects	effect	NOUN
ap-1201	170	5	in	in	ADP
ap-1201	170	6	qα	qα	PROPN
ap-1201	170	7	,	,	PUNCT
ap-1201	170	8	d	d	PROPN
ap-1201	170	9	are	be	AUX
ap-1201	170	10	known	know	VERB
ap-1201	170	11	for	for	ADP
ap-1201	170	12	d	d	PROPN
ap-1201	170	13	=	=	SYM
ap-1201	170	14	0	0	NUM
ap-1201	170	15	.	.	NOUN
ap-1201	170	16	•	•	NOUN
ap-1201	170	17	for	for	ADP
ap-1201	170	18	m	m	PROPN
ap-1201	170	19	=	=	PROPN
ap-1201	170	20	r3	r3	PROPN
ap-1201	170	21	and	and	CCONJ
ap-1201	170	22	d	d	NOUN
ap-1201	170	23	�	�	PROPN
ap-1201	170	24	=	=	SYM
ap-1201	170	25	0	0	PUNCT
ap-1201	171	1	these	these	DET
ap-1201	171	2	global	global	ADJ
ap-1201	171	3	structures	structure	NOUN
ap-1201	171	4	imply	imply	VERB
ap-1201	171	5	that	that	SCONJ
ap-1201	171	6	{	{	PUNCT
ap-1201	171	7	qd(r3	qd(r3	ADP
ap-1201	171	8	,	,	PUNCT
ap-1201	171	9	k	k	NOUN
ap-1201	171	10	)	)	PUNCT
ap-1201	171	11	}	}	PUNCT
ap-1201	171	12	carries	carry	VERB
ap-1201	171	13	a	a	DET
ap-1201	171	14	nonlinear	nonlinear	ADJ
ap-1201	171	15	representations	representation	NOUN
ap-1201	171	16	ng	ng	PROPN
ap-1201	171	17	of	of	ADP
ap-1201	171	18	a	a	DET
ap-1201	171	19	2×	2×	NUM
ap-1201	171	20	2	2	NUM
ap-1201	171	21	matrix	matrix	NOUN
ap-1201	171	22	group	group	NOUN
ap-1201	171	23	g.	g.	PROPN
ap-1201	171	24	•	•	NUM
ap-1201	171	25	for	for	ADP
ap-1201	171	26	esa	esa	PROPN
ap-1201	171	27	differential	differential	PROPN
ap-1201	171	28	operators	operator	NOUN
ap-1201	172	1	d	d	X
ap-1201	172	2	of	of	ADP
ap-1201	172	3	order	order	NOUN
ap-1201	172	4	≥	≥	NOUN
ap-1201	172	5	2	2	NUM
ap-1201	172	6	in	in	ADP
ap-1201	172	7	the	the	DET
ap-1201	172	8	polynomial	polynomial	ADJ
ap-1201	172	9	set	set	NOUN
ap-1201	172	10	pesa(q0(f),p0(x	pesa(q0(f),p0(x	NOUN
ap-1201	172	11	)	)	PUNCT
ap-1201	172	12	)	)	PUNCT
ap-1201	173	1	one	one	PRON
ap-1201	173	2	obtains	obtain	VERB
ap-1201	173	3	nonlinear	nonlinear	ADJ
ap-1201	173	4	differential	differential	ADJ
ap-1201	173	5	operators	operator	NOUN
ap-1201	173	6	dn	dn	VERB
ap-1201	173	7	through	through	ADP
ap-1201	173	8	tangent	tangent	NOUN
ap-1201	173	9	maps	map	NOUN
ap-1201	173	10	with	with	ADP
ap-1201	173	11	n	n	PROPN
ap-1201	173	12	∈	∈	PROPN
ap-1201	173	13	ng	ng	PROPN
ap-1201	173	14	.	.	PUNCT
ap-1201	174	1	nonlinear	nonlinear	ADJ
ap-1201	174	2	versions	version	NOUN
ap-1201	174	3	of	of	ADP
ap-1201	174	4	symmetry	symmetry	NOUN
ap-1201	174	5	and	and	CCONJ
ap-1201	174	6	dynamical	dynamical	ADJ
ap-1201	174	7	symmetry	symmetry	NOUN
ap-1201	174	8	algebras	algebra	NOUN
ap-1201	174	9	are	be	AUX
ap-1201	174	10	available	available	ADJ
ap-1201	174	11	.	.	PUNCT
ap-1201	175	1	our	our	PRON
ap-1201	175	2	construction	construction	NOUN
ap-1201	175	3	may	may	AUX
ap-1201	175	4	be	be	AUX
ap-1201	175	5	viewed	view	VERB
ap-1201	175	6	as	as	ADP
ap-1201	175	7	part	part	NOUN
ap-1201	175	8	of	of	ADP
ap-1201	175	9	a	a	DET
ap-1201	175	10	path	path	NOUN
ap-1201	175	11	to	to	ADP
ap-1201	175	12	a	a	DET
ap-1201	175	13	nonlinear	nonlinear	ADJ
ap-1201	175	14	extension	extension	NOUN
ap-1201	175	15	of	of	ADP
ap-1201	175	16	quantum	quantum	ADJ
ap-1201	175	17	mechanics	mechanic	NOUN
ap-1201	175	18	.	.	PUNCT
ap-1201	176	1	this	this	PRON
ap-1201	176	2	may	may	AUX
ap-1201	176	3	be	be	AUX
ap-1201	176	4	relevant	relevant	ADJ
ap-1201	176	5	in	in	ADP
ap-1201	176	6	the	the	DET
ap-1201	176	7	case	case	NOUN
ap-1201	176	8	that	that	SCONJ
ap-1201	176	9	precision	precision	NOUN
ap-1201	176	10	experiments	experiment	NOUN
ap-1201	176	11	show	show	VERB
ap-1201	176	12	a	a	DET
ap-1201	176	13	nonlinear	nonlinear	ADJ
ap-1201	176	14	character	character	NOUN
ap-1201	176	15	and	and	CCONJ
ap-1201	176	16	corresponding	correspond	VERB
ap-1201	176	17	nonlinear	nonlinear	ADJ
ap-1201	176	18	evolutions	evolution	NOUN
ap-1201	176	19	based	base	VERB
ap-1201	176	20	on	on	ADP
ap-1201	176	21	a	a	DET
ap-1201	176	22	global	global	ADJ
ap-1201	176	23	character	character	NOUN
ap-1201	176	24	of	of	ADP
ap-1201	176	25	m	m	PROPN
ap-1201	176	26	and	and	CCONJ
ap-1201	176	27	k(m	k(m	PROPN
ap-1201	176	28	)	)	PUNCT
ap-1201	176	29	.	.	PUNCT
ap-1201	177	1	references	reference	NOUN
ap-1201	177	2	[	[	X
ap-1201	177	3	1	1	NUM
ap-1201	177	4	]	]	PUNCT
ap-1201	177	5	doebner	doebner	NOUN
ap-1201	177	6	,	,	PUNCT
ap-1201	177	7	h.-d	h.-d	PROPN
ap-1201	177	8	.	.	PUNCT
ap-1201	177	9	,	,	PUNCT
ap-1201	177	10	goldin	goldin	PROPN
ap-1201	177	11	,	,	PUNCT
ap-1201	177	12	g.	g.	PROPN
ap-1201	177	13	a.	a.	PROPN
ap-1201	177	14	:	:	PUNCT
ap-1201	178	1	phys	phy	NOUN
ap-1201	178	2	.	.	PUNCT
ap-1201	179	1	lett	lett	PROPN
ap-1201	179	2	.	.	PUNCT
ap-1201	180	1	a	a	DET
ap-1201	180	2	162	162	NUM
ap-1201	180	3	,	,	PUNCT
ap-1201	180	4	397	397	NUM
ap-1201	180	5	(	(	PUNCT
ap-1201	180	6	1992	1992	NUM
ap-1201	180	7	)	)	PUNCT
ap-1201	180	8	.	.	PUNCT
ap-1201	181	1	[	[	X
ap-1201	181	2	2	2	NUM
ap-1201	181	3	]	]	PUNCT
ap-1201	181	4	doebner	doebner	NOUN
ap-1201	181	5	,	,	PUNCT
ap-1201	181	6	h.-d	h.-d	PROPN
ap-1201	181	7	.	.	PUNCT
ap-1201	181	8	,	,	PUNCT
ap-1201	181	9	goldin	goldin	PROPN
ap-1201	181	10	,	,	PUNCT
ap-1201	181	11	g.	g.	PROPN
ap-1201	181	12	a.	a.	PROPN
ap-1201	181	13	:	:	PUNCT
ap-1201	182	1	phys	phy	NOUN
ap-1201	182	2	.	.	PUNCT
ap-1201	183	1	rev	rev	PROPN
ap-1201	183	2	.	.	PUNCT
ap-1201	184	1	a	a	DET
ap-1201	184	2	54	54	NUM
ap-1201	184	3	,	,	PUNCT
ap-1201	184	4	3764	3764	NUM
ap-1201	184	5	(	(	PUNCT
ap-1201	184	6	1996	1996	NUM
ap-1201	184	7	)	)	PUNCT
ap-1201	184	8	.	.	PUNCT
ap-1201	185	1	[	[	X
ap-1201	185	2	3	3	NUM
ap-1201	185	3	]	]	X
ap-1201	185	4	angermann	angermann	PROPN
ap-1201	185	5	,	,	PUNCT
ap-1201	185	6	b.	b.	PROPN
ap-1201	185	7	,	,	PUNCT
ap-1201	185	8	doebner	doebner	NOUN
ap-1201	185	9	,	,	PUNCT
ap-1201	185	10	h.-d	h.-d	PROPN
ap-1201	185	11	.	.	PROPN
ap-1201	185	12	,	,	PUNCT
ap-1201	185	13	tolar	tolar	PROPN
ap-1201	185	14	,	,	PUNCT
ap-1201	185	15	j.	j.	PROPN
ap-1201	185	16	:	:	PUNCT
ap-1201	185	17	lecture	lecture	NOUN
ap-1201	185	18	notes	note	NOUN
ap-1201	185	19	in	in	ADP
ap-1201	185	20	math	math	NOUN
ap-1201	185	21	.	.	PUNCT
ap-1201	186	1	vol	vol	NOUN
ap-1201	186	2	.	.	PROPN
ap-1201	186	3	1037	1037	NUM
ap-1201	186	4	(	(	PUNCT
ap-1201	186	5	1983	1983	NUM
ap-1201	186	6	)	)	PUNCT
ap-1201	186	7	.	.	PUNCT
ap-1201	187	1	80	80	NUM
ap-1201	187	2	acta	acta	PROPN
ap-1201	187	3	polytechnica	polytechnica	PROPN
ap-1201	187	4	vol	vol	NOUN
ap-1201	187	5	.	.	PROPN
ap-1201	188	1	50	50	NUM
ap-1201	188	2	no	no	NOUN
ap-1201	188	3	.	.	PUNCT
ap-1201	189	1	3/2010	3/2010	NUM
ap-1201	189	2	[	[	NOUN
ap-1201	189	3	4	4	NUM
ap-1201	189	4	]	]	X
ap-1201	189	5	doebner	doebner	NOUN
ap-1201	189	6	,	,	PUNCT
ap-1201	189	7	h.-d	h.-d	PROPN
ap-1201	189	8	.	.	PROPN
ap-1201	189	9	,	,	PUNCT
ap-1201	189	10	tolar	tolar	PROPN
ap-1201	189	11	,	,	PUNCT
ap-1201	189	12	j.	j.	PROPN
ap-1201	189	13	:	:	PUNCT
ap-1201	189	14	in	in	ADP
ap-1201	189	15	symmetry	symmetry	NOUN
ap-1201	189	16	in	in	ADP
ap-1201	189	17	science	science	PROPN
ap-1201	189	18	xiv	xiv	PROPN
ap-1201	190	1	kluver	kluver	PROPN
ap-1201	190	2	,	,	PUNCT
ap-1201	190	3	dordrecht	dordrecht	X
ap-1201	190	4	(	(	PUNCT
ap-1201	190	5	2004	2004	NUM
ap-1201	190	6	)	)	PUNCT
ap-1201	190	7	.	.	PUNCT
ap-1201	191	1	[	[	X
ap-1201	191	2	5	5	NUM
ap-1201	191	3	]	]	PUNCT
ap-1201	191	4	doebner	doebner	NOUN
ap-1201	191	5	,	,	PUNCT
ap-1201	191	6	h.-d	h.-d	PROPN
ap-1201	191	7	.	.	PUNCT
ap-1201	191	8	,	,	PUNCT
ap-1201	191	9	stovicek	stovicek	PROPN
ap-1201	191	10	,	,	PUNCT
ap-1201	191	11	p.	p.	PROPN
ap-1201	191	12	,	,	PUNCT
ap-1201	191	13	tolar	tolar	PROPN
ap-1201	191	14	,	,	PUNCT
ap-1201	191	15	j.	j.	PROPN
ap-1201	191	16	:	:	PUNCT
ap-1201	191	17	rev	rev	PROPN
ap-1201	191	18	.	.	PROPN
ap-1201	191	19	math	math	NOUN
ap-1201	191	20	.	.	PUNCT
ap-1201	192	1	phys	phy	NOUN
ap-1201	192	2	.	.	PUNCT
ap-1201	193	1	13	13	NUM
ap-1201	193	2	,	,	PUNCT
ap-1201	193	3	799	799	NUM
ap-1201	193	4	(	(	PUNCT
ap-1201	193	5	2001	2001	NUM
ap-1201	193	6	)	)	PUNCT
ap-1201	193	7	.	.	PUNCT
ap-1201	194	1	[	[	X
ap-1201	194	2	6	6	NUM
ap-1201	194	3	]	]	SYM
ap-1201	194	4	ali	ali	PROPN
ap-1201	194	5	,	,	PUNCT
ap-1201	194	6	s.	s.	PROPN
ap-1201	194	7	,	,	PUNCT
ap-1201	194	8	english	english	PROPN
ap-1201	194	9	,	,	PUNCT
ap-1201	194	10	m.	m.	NOUN
ap-1201	194	11	:	:	PUNCT
ap-1201	194	12	rev	rev	PROPN
ap-1201	194	13	.	.	PROPN
ap-1201	194	14	math	math	NOUN
ap-1201	194	15	.	.	PUNCT
ap-1201	195	1	phys	phy	NOUN
ap-1201	195	2	.	.	PUNCT
ap-1201	196	1	17	17	NUM
ap-1201	196	2	,	,	PUNCT
ap-1201	196	3	205	205	NUM
ap-1201	196	4	(	(	PUNCT
ap-1201	196	5	2005	2005	NUM
ap-1201	196	6	)	)	PUNCT
ap-1201	196	7	.	.	PUNCT
ap-1201	197	1	[	[	X
ap-1201	197	2	7	7	NUM
ap-1201	197	3	]	]	X
ap-1201	197	4	drees	dree	NOUN
ap-1201	197	5	,	,	PUNCT
ap-1201	197	6	m.	m.	NOUN
ap-1201	197	7	:	:	PUNCT
ap-1201	197	8	zur	zur	NOUN
ap-1201	197	9	kinematik	kinematik	PROPN
ap-1201	197	10	lokalisierbarer	lokalisierbarer	VERB
ap-1201	197	11	quantenmechanischer	quantenmechanischer	ADV
ap-1201	197	12	systeme	systeme	PROPN
ap-1201	197	13	unter	unter	NOUN
ap-1201	197	14	berücksichtigung	berücksichtigung	X
ap-1201	197	15	innnerer	innnerer	AUX
ap-1201	197	16	freitsgrade	freitsgrade	VERB
ap-1201	197	17	und	und	PROPN
ap-1201	197	18	äusserer	äusserer	PROPN
ap-1201	197	19	felder	felder	PROPN
ap-1201	197	20	,	,	PUNCT
ap-1201	197	21	phd	phd	PROPN
ap-1201	197	22	.	.	PUNCT
ap-1201	198	1	thesis	thesis	PROPN
ap-1201	198	2	tu	tu	PROPN
ap-1201	198	3	clausthal	clausthal	NOUN
ap-1201	198	4	(	(	PUNCT
ap-1201	198	5	1992	1992	NUM
ap-1201	198	6	)	)	PUNCT
ap-1201	198	7	.	.	PUNCT
ap-1201	199	1	[	[	X
ap-1201	199	2	8	8	NUM
ap-1201	199	3	]	]	X
ap-1201	199	4	nattermann	nattermann	NOUN
ap-1201	199	5	,	,	PUNCT
ap-1201	199	6	p.	p.	NOUN
ap-1201	199	7	:	:	PUNCT
ap-1201	200	1	dynamics	dynamic	NOUN
ap-1201	200	2	in	in	ADP
ap-1201	200	3	borel	borel	PROPN
ap-1201	200	4	quantisation	quantisation	NOUN
ap-1201	200	5	:	:	PUNCT
ap-1201	200	6	nonlinear	nonlinear	NOUN
ap-1201	200	7	schrödinger	schrödinger	NOUN
ap-1201	200	8	equations	equation	NOUN
ap-1201	200	9	vs.	vs.	ADP
ap-1201	200	10	master	master	NOUN
ap-1201	200	11	equations	equation	NOUN
ap-1201	200	12	,	,	PUNCT
ap-1201	200	13	phd	phd	NOUN
ap-1201	200	14	.	.	PUNCT
ap-1201	201	1	thesis	thesis	PROPN
ap-1201	201	2	tu	tu	PROPN
ap-1201	201	3	clausthal	clausthal	NOUN
ap-1201	201	4	(	(	PUNCT
ap-1201	201	5	1997	1997	NUM
ap-1201	201	6	)	)	PUNCT
ap-1201	201	7	.	.	PUNCT
ap-1201	202	1	[	[	X
ap-1201	202	2	9	9	NUM
ap-1201	202	3	]	]	SYM
ap-1201	202	4	hennig	hennig	PROPN
ap-1201	202	5	,	,	PUNCT
ap-1201	202	6	j.	j.	PROPN
ap-1201	202	7	d.	d.	PROPN
ap-1201	202	8	:	:	PUNCT
ap-1201	202	9	in	in	ADP
ap-1201	202	10	nonlinear	nonlinear	ADJ
ap-1201	202	11	,	,	PUNCT
ap-1201	202	12	deformed	deformed	ADJ
ap-1201	202	13	and	and	CCONJ
ap-1201	202	14	irreversible	irreversible	ADJ
ap-1201	202	15	quantum	quantum	ADJ
ap-1201	202	16	systems	system	NOUN
ap-1201	202	17	,	,	PUNCT
ap-1201	202	18	world	world	NOUN
ap-1201	202	19	scientific	scientific	ADJ
ap-1201	202	20	(	(	PUNCT
ap-1201	202	21	1995	1995	NUM
ap-1201	202	22	)	)	PUNCT
ap-1201	202	23	.	.	PUNCT
ap-1201	203	1	[	[	X
ap-1201	203	2	10	10	NUM
ap-1201	203	3	]	]	PUNCT
ap-1201	203	4	doebner	doebner	NOUN
ap-1201	203	5	,	,	PUNCT
ap-1201	203	6	h.-d	h.-d	PROPN
ap-1201	203	7	.	.	PROPN
ap-1201	203	8	,	,	PUNCT
ap-1201	203	9	hennig	hennig	PROPN
ap-1201	203	10	,	,	PUNCT
ap-1201	203	11	j.	j.	PROPN
ap-1201	203	12	d.	d.	PROPN
ap-1201	203	13	:	:	PUNCT
ap-1201	203	14	in	in	ADP
ap-1201	203	15	symmetry	symmetry	NOUN
ap-1201	203	16	in	in	ADP
ap-1201	203	17	science	science	NOUN
ap-1201	203	18	ix	ix	PROPN
ap-1201	203	19	,	,	PUNCT
ap-1201	203	20	plenum	plenum	PROPN
ap-1201	203	21	press	press	NOUN
ap-1201	203	22	(	(	PUNCT
ap-1201	203	23	1996	1996	NUM
ap-1201	203	24	)	)	PUNCT
ap-1201	203	25	.	.	PUNCT
ap-1201	204	1	[	[	X
ap-1201	204	2	11	11	NUM
ap-1201	204	3	]	]	X
ap-1201	204	4	goldin	goldin	PROPN
ap-1201	204	5	,	,	PUNCT
ap-1201	204	6	g.	g.	PROPN
ap-1201	204	7	a.	a.	PROPN
ap-1201	204	8	,	,	PUNCT
ap-1201	204	9	menikoff	menikoff	NOUN
ap-1201	204	10	,	,	PUNCT
ap-1201	204	11	r.	r.	PROPN
ap-1201	204	12	,	,	PUNCT
ap-1201	204	13	sharp	sharp	ADJ
ap-1201	204	14	,	,	PUNCT
ap-1201	204	15	d.	d.	PROPN
ap-1201	204	16	h.	h.	PROPN
ap-1201	204	17	:	:	PUNCT
ap-1201	204	18	j.	j.	PROPN
ap-1201	204	19	math	math	PROPN
ap-1201	204	20	.	.	PUNCT
ap-1201	205	1	phys	phy	NOUN
ap-1201	205	2	.	.	PUNCT
ap-1201	206	1	21	21	NUM
ap-1201	206	2	,	,	PUNCT
ap-1201	206	3	650	650	NUM
ap-1201	206	4	(	(	PUNCT
ap-1201	206	5	1980	1980	NUM
ap-1201	206	6	)	)	PUNCT
ap-1201	206	7	.	.	PUNCT
ap-1201	207	1	[	[	X
ap-1201	207	2	12	12	NUM
ap-1201	207	3	]	]	X
ap-1201	207	4	kostant	kostant	PROPN
ap-1201	207	5	,	,	PUNCT
ap-1201	207	6	b.	b.	PROPN
ap-1201	207	7	:	:	PUNCT
ap-1201	207	8	in	in	ADP
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ap-1201	207	10	and	and	CCONJ
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ap-1201	207	12	representations	representation	NOUN
ap-1201	207	13	,	,	PUNCT
ap-1201	207	14	lecture	lecture	NOUN
ap-1201	207	15	notes	note	NOUN
ap-1201	207	16	in	in	ADP
ap-1201	207	17	math	math	NOUN
ap-1201	207	18	.	.	PUNCT
ap-1201	208	1	vol	vol	NOUN
ap-1201	208	2	.	.	PROPN
ap-1201	209	1	170	170	NUM
ap-1201	209	2	(	(	PUNCT
ap-1201	209	3	1970	1970	NUM
ap-1201	209	4	)	)	PUNCT
ap-1201	209	5	.	.	PUNCT
ap-1201	210	1	[	[	X
ap-1201	210	2	13	13	NUM
ap-1201	210	3	]	]	SYM
ap-1201	210	4	weil	weil	PROPN
ap-1201	210	5	,	,	PUNCT
ap-1201	210	6	a.	a.	NOUN
ap-1201	210	7	:	:	PUNCT
ap-1201	210	8	variete	variete	PROPN
ap-1201	210	9	kähleriennses	kähleriennse	NOUN
ap-1201	210	10	,	,	PUNCT
ap-1201	210	11	herman	herman	PROPN
ap-1201	210	12	,	,	PUNCT
ap-1201	210	13	paris	paris	PROPN
ap-1201	210	14	(	(	PUNCT
ap-1201	210	15	1958	1958	NUM
ap-1201	210	16	)	)	PUNCT
ap-1201	210	17	.	.	PUNCT
ap-1201	211	1	[	[	X
ap-1201	211	2	14	14	NUM
ap-1201	211	3	]	]	X
ap-1201	211	4	kahn	kahn	PROPN
ap-1201	211	5	,	,	PUNCT
ap-1201	211	6	w.	w.	NOUN
ap-1201	211	7	:	:	PUNCT
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ap-1201	211	9	to	to	ADP
ap-1201	211	10	global	global	ADJ
ap-1201	211	11	analysis	analysis	NOUN
ap-1201	211	12	,	,	PUNCT
ap-1201	211	13	academic	academic	ADJ
ap-1201	211	14	press	press	NOUN
ap-1201	211	15	,	,	PUNCT
ap-1201	211	16	london	london	PROPN
ap-1201	211	17	(	(	PUNCT
ap-1201	211	18	1980	1980	NUM
ap-1201	211	19	)	)	PUNCT
ap-1201	211	20	.	.	PUNCT
ap-1201	212	1	[	[	X
ap-1201	212	2	15	15	NUM
ap-1201	212	3	]	]	X
ap-1201	212	4	doebner	doebner	NOUN
ap-1201	212	5	,	,	PUNCT
ap-1201	212	6	h.-d	h.-d	PROPN
ap-1201	212	7	.	.	PROPN
ap-1201	212	8	,	,	PUNCT
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ap-1201	212	10	,	,	PUNCT
ap-1201	212	11	w.	w.	PROPN
ap-1201	212	12	:	:	PUNCT
ap-1201	212	13	j.	j.	PROPN
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ap-1201	212	15	.	.	PUNCT
ap-1201	213	1	a	a	DET
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ap-1201	213	3	,	,	PUNCT
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ap-1201	213	5	(	(	PUNCT
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ap-1201	213	7	)	)	PUNCT
ap-1201	213	8	.	.	PUNCT
ap-1201	214	1	[	[	X
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ap-1201	214	3	]	]	PUNCT
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ap-1201	214	5	,	,	PUNCT
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ap-1201	214	8	,	,	PUNCT
ap-1201	214	9	groth	groth	PROPN
ap-1201	214	10	,	,	PUNCT
ap-1201	214	11	w.	w.	PROPN
ap-1201	214	12	,	,	PUNCT
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ap-1201	214	14	,	,	PUNCT
ap-1201	214	15	j.	j.	PROPN
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ap-1201	214	17	:	:	PUNCT
ap-1201	214	18	j.	j.	PROPN
ap-1201	214	19	geom	geom	PROPN
ap-1201	214	20	.	.	PUNCT
ap-1201	215	1	phys	phy	NOUN
ap-1201	215	2	.	.	PUNCT
ap-1201	216	1	31	31	NUM
ap-1201	216	2	,	,	PUNCT
ap-1201	216	3	35	35	NUM
ap-1201	216	4	(	(	PUNCT
ap-1201	216	5	1998	1998	NUM
ap-1201	216	6	)	)	PUNCT
ap-1201	216	7	.	.	PUNCT
ap-1201	217	1	[	[	X
ap-1201	217	2	17	17	NUM
ap-1201	217	3	]	]	PUNCT
ap-1201	217	4	doebner	doebner	NOUN
ap-1201	217	5	,	,	PUNCT
ap-1201	217	6	h.-d	h.-d	PROPN
ap-1201	217	7	.	.	PUNCT
ap-1201	217	8	,	,	PUNCT
ap-1201	217	9	goldin	goldin	PROPN
ap-1201	217	10	,	,	PUNCT
ap-1201	217	11	g.	g.	PROPN
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ap-1201	217	13	,	,	PUNCT
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ap-1201	217	15	,	,	PUNCT
ap-1201	217	16	p.	p.	NOUN
ap-1201	217	17	:	:	PUNCT
ap-1201	217	18	j.	j.	PROPN
ap-1201	217	19	math	math	PROPN
ap-1201	217	20	.	.	PUNCT
ap-1201	218	1	phys	phy	NOUN
ap-1201	218	2	.	.	PUNCT
ap-1201	219	1	40	40	NUM
ap-1201	219	2	,	,	PUNCT
ap-1201	219	3	49	49	NUM
ap-1201	219	4	(	(	PUNCT
ap-1201	219	5	1996	1996	NUM
ap-1201	219	6	)	)	PUNCT
ap-1201	219	7	.	.	PUNCT
ap-1201	220	1	[	[	X
ap-1201	220	2	18	18	NUM
ap-1201	220	3	]	]	PUNCT
ap-1201	220	4	doebner	doebner	NOUN
ap-1201	220	5	,	,	PUNCT
ap-1201	220	6	h.-d	h.-d	PROPN
ap-1201	220	7	.	.	PUNCT
ap-1201	220	8	,	,	PUNCT
ap-1201	220	9	manko	manko	PROPN
ap-1201	220	10	,	,	PUNCT
ap-1201	220	11	v.	v.	PROPN
ap-1201	220	12	i.	i.	PROPN
ap-1201	220	13	,	,	PUNCT
ap-1201	220	14	scherer	scherer	PROPN
ap-1201	220	15	,	,	PUNCT
ap-1201	220	16	w.	w.	PROPN
ap-1201	220	17	:	:	PUNCT
ap-1201	220	18	phys	phy	NOUN
ap-1201	220	19	.	.	PUNCT
ap-1201	221	1	lett	lett	PROPN
ap-1201	221	2	.	.	PUNCT
ap-1201	222	1	a	a	DET
ap-1201	222	2	268	268	NUM
ap-1201	222	3	,	,	PUNCT
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ap-1201	222	5	(	(	PUNCT
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ap-1201	222	7	)	)	PUNCT
ap-1201	222	8	.	.	PUNCT
ap-1201	223	1	[	[	X
ap-1201	223	2	19	19	NUM
ap-1201	223	3	]	]	PUNCT
ap-1201	223	4	doebner	doebner	NOUN
ap-1201	223	5	,	,	PUNCT
ap-1201	223	6	h.-d	h.-d	PROPN
ap-1201	223	7	.	.	PUNCT
ap-1201	223	8	,	,	PUNCT
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ap-1201	223	10	,	,	PUNCT
ap-1201	223	11	g.	g.	PROPN
ap-1201	223	12	a.	a.	PROPN
ap-1201	223	13	:	:	PUNCT
ap-1201	223	14	j.	j.	PROPN
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ap-1201	223	16	.	.	PUNCT
ap-1201	224	1	a	a	DET
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ap-1201	224	3	.	.	PUNCT
ap-1201	225	1	gen	gen	PROPN
ap-1201	225	2	.	.	PROPN
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ap-1201	225	4	,	,	PUNCT
ap-1201	225	5	1771	1771	NUM
ap-1201	225	6	(	(	PUNCT
ap-1201	225	7	1994	1994	NUM
ap-1201	225	8	)	)	PUNCT
ap-1201	225	9	.	.	PUNCT
ap-1201	226	1	h.-d	h.-d	PROPN
ap-1201	226	2	.	.	PUNCT
ap-1201	227	1	doebner	doebner	PROPN
ap-1201	227	2	e	e	NOUN
ap-1201	227	3	-	-	NOUN
ap-1201	227	4	mail	mail	NOUN
ap-1201	227	5	:	:	PUNCT
ap-1201	227	6	asi@pt.tu-clausthal.de	asi@pt.tu-clausthal.de	NOUN
ap-1201	227	7	,	,	PUNCT
ap-1201	227	8	doebner@t-online.de	doebner@t-online.de	PROPN
ap-1201	227	9	technical	technical	ADJ
ap-1201	227	10	university	university	PROPN
ap-1201	227	11	of	of	ADP
ap-1201	227	12	clausthal	clausthal	PROPN
ap-1201	227	13	institute	institute	PROPN
ap-1201	227	14	for	for	ADP
ap-1201	227	15	energy	energy	NOUN
ap-1201	227	16	research	research	NOUN
ap-1201	227	17	and	and	CCONJ
ap-1201	227	18	physical	physical	ADJ
ap-1201	227	19	tecnology	tecnology	NOUN
ap-1201	227	20	81	81	NUM