id	sid	tid	token	lemma	pos
ap-2088	1	1	acta	acta	PROPN
ap-2088	1	2	polytechnica	polytechnica	PROPN
ap-2088	1	3	doi:10.14311	doi:10.14311	PROPN
ap-2088	1	4	/	/	SYM
ap-2088	1	5	ap.2014.54.0127	ap.2014.54.0127	PROPN
ap-2088	1	6	acta	acta	PROPN
ap-2088	1	7	polytechnica	polytechnica	PROPN
ap-2088	2	1	54(2):127–129	54(2):127–129	PROPN
ap-2088	2	2	,	,	PUNCT
ap-2088	2	3	2014	2014	NUM
ap-2088	2	4	©	©	PROPN
ap-2088	2	5	czech	czech	PROPN
ap-2088	2	6	technical	technical	PROPN
ap-2088	2	7	university	university	PROPN
ap-2088	2	8	in	in	ADP
ap-2088	2	9	prague	prague	PROPN
ap-2088	2	10	,	,	PUNCT
ap-2088	2	11	2014	2014	NUM
ap-2088	2	12	available	available	ADJ
ap-2088	2	13	online	online	ADV
ap-2088	2	14	at	at	ADP
ap-2088	2	15	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2088	2	16	dirac	dirac	NOUN
ap-2088	2	17	and	and	CCONJ
ap-2088	2	18	hamilton	hamilton	PROPN
ap-2088	2	19	p.	p.	PROPN
ap-2088	2	20	g.	g.	PROPN
ap-2088	2	21	l.	l.	PROPN
ap-2088	2	22	leacha	leacha	PROPN
ap-2088	2	23	,	,	PUNCT
ap-2088	2	24	b	b	PROPN
ap-2088	2	25	a	a	DET
ap-2088	2	26	department	department	NOUN
ap-2088	2	27	of	of	ADP
ap-2088	2	28	mathematics	mathematic	NOUN
ap-2088	2	29	and	and	CCONJ
ap-2088	2	30	statistics	statistic	NOUN
ap-2088	2	31	,	,	PUNCT
ap-2088	2	32	university	university	PROPN
ap-2088	2	33	of	of	ADP
ap-2088	2	34	cyprus	cyprus	PROPN
ap-2088	2	35	,	,	PUNCT
ap-2088	2	36	lefkosia	lefkosia	PROPN
ap-2088	2	37	,	,	PUNCT
ap-2088	2	38	republic	republic	NOUN
ap-2088	2	39	of	of	ADP
ap-2088	2	40	cyprus	cyprus	PROPN
ap-2088	2	41	b	b	PROPN
ap-2088	2	42	school	school	NOUN
ap-2088	2	43	of	of	ADP
ap-2088	2	44	mathematical	mathematical	ADJ
ap-2088	2	45	sciences	sciences	PROPN
ap-2088	2	46	,	,	PUNCT
ap-2088	2	47	university	university	NOUN
ap-2088	2	48	of	of	ADP
ap-2088	2	49	kwazulu	kwazulu	PROPN
ap-2088	2	50	-	-	PUNCT
ap-2088	2	51	natal	natal	ADJ
ap-2088	2	52	,	,	PUNCT
ap-2088	2	53	private	private	ADJ
ap-2088	2	54	bag	bag	NOUN
ap-2088	2	55	x54001	x54001	PROPN
ap-2088	2	56	,	,	PUNCT
ap-2088	2	57	durban	durban	PROPN
ap-2088	2	58	4000	4000	NUM
ap-2088	2	59	,	,	PUNCT
ap-2088	2	60	republic	republic	NOUN
ap-2088	2	61	of	of	ADP
ap-2088	2	62	south	south	PROPN
ap-2088	2	63	africa	africa	PROPN
ap-2088	2	64	correspondence	correspondence	NOUN
ap-2088	2	65	:	:	PUNCT
ap-2088	2	66	leachp@ukzn.ac.za	leachp@ukzn.ac.za	ADJ
ap-2088	2	67	abstract	abstract	NOUN
ap-2088	2	68	.	.	PUNCT
ap-2088	3	1	dirac	dirac	PROPN
ap-2088	3	2	devised	devise	VERB
ap-2088	3	3	his	his	PRON
ap-2088	3	4	theory	theory	NOUN
ap-2088	3	5	of	of	ADP
ap-2088	3	6	quantum	quantum	ADJ
ap-2088	3	7	mechanics	mechanic	NOUN
ap-2088	3	8	and	and	CCONJ
ap-2088	3	9	recognised	recognise	VERB
ap-2088	3	10	that	that	SCONJ
ap-2088	3	11	his	his	PRON
ap-2088	3	12	operators	operator	NOUN
ap-2088	3	13	resembled	resemble	VERB
ap-2088	3	14	the	the	DET
ap-2088	3	15	canonical	canonical	ADJ
ap-2088	3	16	coordinates	coordinate	NOUN
ap-2088	3	17	of	of	ADP
ap-2088	3	18	hamiltonian	hamiltonian	ADJ
ap-2088	3	19	mechanics	mechanic	NOUN
ap-2088	3	20	.	.	PUNCT
ap-2088	4	1	this	this	PRON
ap-2088	4	2	gave	give	VERB
ap-2088	4	3	the	the	DET
ap-2088	4	4	latter	latter	ADJ
ap-2088	4	5	a	a	DET
ap-2088	4	6	new	new	ADJ
ap-2088	4	7	lease	lease	NOUN
ap-2088	4	8	of	of	ADP
ap-2088	4	9	life	life	NOUN
ap-2088	4	10	.	.	PUNCT
ap-2088	5	1	we	we	PRON
ap-2088	5	2	look	look	VERB
ap-2088	5	3	at	at	ADP
ap-2088	5	4	what	what	PRON
ap-2088	5	5	happens	happen	VERB
ap-2088	5	6	to	to	PART
ap-2088	5	7	dirac	dirac	VERB
ap-2088	5	8	’s	’s	PART
ap-2088	5	9	quantum	quantum	ADJ
ap-2088	5	10	mechanics	mechanic	NOUN
ap-2088	5	11	if	if	SCONJ
ap-2088	5	12	one	one	PRON
ap-2088	5	13	starts	start	VERB
ap-2088	5	14	from	from	ADP
ap-2088	5	15	hamiltonian	hamiltonian	ADJ
ap-2088	5	16	mechanics	mechanic	NOUN
ap-2088	5	17	.	.	PUNCT
ap-2088	6	1	keywords	keyword	NOUN
ap-2088	6	2	:	:	PUNCT
ap-2088	6	3	dirac	dirac	NOUN
ap-2088	6	4	,	,	PUNCT
ap-2088	6	5	quantum	quantum	NOUN
ap-2088	6	6	mechanics	mechanic	NOUN
ap-2088	6	7	,	,	PUNCT
ap-2088	6	8	hamiltonian	hamiltonian	ADJ
ap-2088	6	9	mechanics	mechanic	NOUN
ap-2088	6	10	.	.	PUNCT
ap-2088	7	1	1	1	X
ap-2088	7	2	.	.	X
ap-2088	7	3	introduction	introduction	NOUN
ap-2088	7	4	when	when	SCONJ
ap-2088	7	5	dirac	dirac	NOUN
ap-2088	7	6	was	be	AUX
ap-2088	7	7	developing	develop	VERB
ap-2088	7	8	his	his	PRON
ap-2088	7	9	theory	theory	NOUN
ap-2088	7	10	of	of	ADP
ap-2088	7	11	quantum	quantum	ADJ
ap-2088	7	12	mechanics	mechanic	NOUN
ap-2088	7	13	,	,	PUNCT
ap-2088	7	14	see	see	VERB
ap-2088	7	15	[	[	X
ap-2088	7	16	1	1	NUM
ap-2088	7	17	]	]	PUNCT
ap-2088	7	18	,	,	PUNCT
ap-2088	7	19	he	he	PRON
ap-2088	7	20	observed	observe	VERB
ap-2088	7	21	that	that	SCONJ
ap-2088	7	22	the	the	DET
ap-2088	7	23	operators	operator	NOUN
ap-2088	7	24	he	he	PRON
ap-2088	7	25	had	have	AUX
ap-2088	7	26	introduced	introduce	VERB
ap-2088	7	27	reminded	remind	VERB
ap-2088	7	28	him	he	PRON
ap-2088	7	29	of	of	ADP
ap-2088	7	30	something	something	PRON
ap-2088	7	31	from	from	ADP
ap-2088	7	32	mechanics	mechanic	NOUN
ap-2088	7	33	.	.	PUNCT
ap-2088	8	1	he	he	PRON
ap-2088	8	2	looked	look	VERB
ap-2088	8	3	to	to	ADP
ap-2088	8	4	his	his	PRON
ap-2088	8	5	personal	personal	ADJ
ap-2088	8	6	collection	collection	NOUN
ap-2088	8	7	in	in	ADP
ap-2088	8	8	his	his	PRON
ap-2088	8	9	study	study	NOUN
ap-2088	8	10	and	and	CCONJ
ap-2088	8	11	could	could	AUX
ap-2088	8	12	find	find	VERB
ap-2088	8	13	nothing	nothing	PRON
ap-2088	8	14	suitably	suitably	ADV
ap-2088	8	15	advanced	advanced	ADJ
ap-2088	8	16	,	,	PUNCT
ap-2088	8	17	such	such	ADJ
ap-2088	8	18	as	as	ADP
ap-2088	8	19	whitaker	whitaker	PROPN
ap-2088	8	20	’s	’s	PART
ap-2088	8	21	treatise	treatise	NOUN
ap-2088	9	1	[	[	X
ap-2088	9	2	2	2	X
ap-2088	9	3	]	]	PUNCT
ap-2088	9	4	which	which	PRON
ap-2088	9	5	would	would	AUX
ap-2088	9	6	contain	contain	VERB
ap-2088	9	7	such	such	ADJ
ap-2088	9	8	information	information	NOUN
ap-2088	9	9	.	.	PUNCT
ap-2088	10	1	it	it	PRON
ap-2088	10	2	was	be	AUX
ap-2088	10	3	a	a	DET
ap-2088	10	4	sunday	sunday	PROPN
ap-2088	10	5	afternoon	afternoon	NOUN
ap-2088	10	6	and	and	CCONJ
ap-2088	10	7	naturally	naturally	ADV
ap-2088	10	8	in	in	ADP
ap-2088	10	9	those	those	DET
ap-2088	10	10	more	more	ADV
ap-2088	10	11	civilised	civilised	ADJ
ap-2088	10	12	days	day	NOUN
ap-2088	10	13	the	the	DET
ap-2088	10	14	college	college	NOUN
ap-2088	10	15	library	library	NOUN
ap-2088	10	16	would	would	AUX
ap-2088	10	17	not	not	PART
ap-2088	10	18	be	be	AUX
ap-2088	10	19	open	open	ADJ
ap-2088	10	20	.	.	PUNCT
ap-2088	11	1	dirac	dirac	PROPN
ap-2088	11	2	had	have	VERB
ap-2088	11	3	to	to	PART
ap-2088	11	4	wait	wait	VERB
ap-2088	11	5	until	until	ADP
ap-2088	11	6	monday	monday	PROPN
ap-2088	11	7	morning	morning	NOUN
ap-2088	11	8	to	to	PART
ap-2088	11	9	find	find	VERB
ap-2088	11	10	that	that	SCONJ
ap-2088	11	11	in	in	ADP
ap-2088	11	12	fact	fact	NOUN
ap-2088	11	13	the	the	DET
ap-2088	11	14	very	very	ADJ
ap-2088	11	15	properties	property	NOUN
ap-2088	11	16	he	he	PRON
ap-2088	11	17	had	have	VERB
ap-2088	11	18	in	in	ADP
ap-2088	11	19	his	his	PRON
ap-2088	11	20	operators	operator	NOUN
ap-2088	11	21	,	,	PUNCT
ap-2088	11	22	apart	apart	ADV
ap-2088	11	23	from	from	ADP
ap-2088	11	24	the	the	DET
ap-2088	11	25	occasional	occasional	ADJ
ap-2088	11	26	i	i	NOUN
ap-2088	11	27	,	,	PUNCT
ap-2088	11	28	were	be	AUX
ap-2088	11	29	precisely	precisely	ADV
ap-2088	11	30	those	those	PRON
ap-2088	11	31	of	of	ADP
ap-2088	11	32	the	the	DET
ap-2088	11	33	poisson	poisson	NOUN
ap-2088	11	34	brackets	bracket	NOUN
ap-2088	11	35	of	of	ADP
ap-2088	11	36	hamiltonian	hamiltonian	ADJ
ap-2088	11	37	mechanics	mechanic	NOUN
ap-2088	11	38	,	,	PUNCT
ap-2088	11	39	which	which	PRON
ap-2088	11	40	had	have	AUX
ap-2088	11	41	been	be	AUX
ap-2088	11	42	established	establish	VERB
ap-2088	11	43	and	and	CCONJ
ap-2088	11	44	developed	develop	VERB
ap-2088	11	45	some	some	DET
ap-2088	11	46	120	120	NUM
ap-2088	11	47	years	year	NOUN
ap-2088	11	48	before	before	ADV
ap-2088	11	49	by	by	ADP
ap-2088	11	50	poisson	poisson	NOUN
ap-2088	11	51	and	and	CCONJ
ap-2088	11	52	incorporated	incorporate	VERB
ap-2088	11	53	into	into	ADP
ap-2088	11	54	the	the	DET
ap-2088	11	55	new	new	ADJ
ap-2088	11	56	mechanics	mechanic	NOUN
ap-2088	11	57	some	some	DET
ap-2088	11	58	30	30	NUM
ap-2088	11	59	years	year	NOUN
ap-2088	11	60	later	later	ADV
ap-2088	11	61	.	.	PUNCT
ap-2088	12	1	it	it	PRON
ap-2088	12	2	is	be	AUX
ap-2088	12	3	a	a	DET
ap-2088	12	4	little	little	ADJ
ap-2088	12	5	difficult	difficult	ADJ
ap-2088	12	6	to	to	PART
ap-2088	12	7	draw	draw	VERB
ap-2088	12	8	a	a	DET
ap-2088	12	9	line	line	NOUN
ap-2088	12	10	in	in	ADP
ap-2088	12	11	the	the	DET
ap-2088	12	12	history	history	NOUN
ap-2088	12	13	of	of	ADP
ap-2088	12	14	the	the	DET
ap-2088	12	15	development	development	NOUN
ap-2088	12	16	of	of	ADP
ap-2088	12	17	mechanics	mechanic	NOUN
ap-2088	12	18	and	and	CCONJ
ap-2088	12	19	to	to	PART
ap-2088	12	20	claim	claim	VERB
ap-2088	12	21	what	what	PRON
ap-2088	12	22	is	be	AUX
ap-2088	12	23	the	the	DET
ap-2088	12	24	terminus	terminus	NOUN
ap-2088	12	25	a	a	DET
ap-2088	12	26	quo	quo	NOUN
ap-2088	12	27	,	,	PUNCT
ap-2088	12	28	but	but	CCONJ
ap-2088	12	29	to	to	PART
ap-2088	12	30	keep	keep	VERB
ap-2088	12	31	this	this	DET
ap-2088	12	32	narrative	narrative	ADJ
ap-2088	12	33	compact	compact	NOUN
ap-2088	12	34	we	we	PRON
ap-2088	12	35	start	start	VERB
ap-2088	12	36	with	with	ADP
ap-2088	12	37	the	the	DET
ap-2088	12	38	mechanics	mechanic	NOUN
ap-2088	12	39	of	of	ADP
ap-2088	12	40	newton	newton	PROPN
ap-2088	13	1	[	[	X
ap-2088	13	2	3	3	NUM
ap-2088	13	3	]	]	PUNCT
ap-2088	13	4	,	,	PUNCT
ap-2088	13	5	for	for	ADP
ap-2088	13	6	it	it	PRON
ap-2088	13	7	is	be	AUX
ap-2088	13	8	on	on	ADP
ap-2088	13	9	his	his	PRON
ap-2088	13	10	laws	law	NOUN
ap-2088	13	11	of	of	ADP
ap-2088	13	12	motion	motion	NOUN
ap-2088	13	13	that	that	SCONJ
ap-2088	13	14	the	the	DET
ap-2088	13	15	subsequent	subsequent	ADJ
ap-2088	13	16	evolution	evolution	NOUN
ap-2088	13	17	of	of	ADP
ap-2088	13	18	mechanics	mechanic	NOUN
ap-2088	13	19	has	have	AUX
ap-2088	13	20	been	be	AUX
ap-2088	13	21	based	base	VERB
ap-2088	13	22	.	.	PUNCT
ap-2088	14	1	one	one	NUM
ap-2088	14	2	of	of	ADP
ap-2088	14	3	the	the	DET
ap-2088	14	4	problems	problem	NOUN
ap-2088	14	5	in	in	ADP
ap-2088	14	6	practice	practice	NOUN
ap-2088	14	7	is	be	AUX
ap-2088	14	8	the	the	DET
ap-2088	14	9	solution	solution	NOUN
ap-2088	14	10	of	of	ADP
ap-2088	14	11	equations	equation	NOUN
ap-2088	14	12	and	and	CCONJ
ap-2088	14	13	it	it	PRON
ap-2088	14	14	soon	soon	ADV
ap-2088	14	15	became	become	VERB
ap-2088	14	16	apparent	apparent	ADJ
ap-2088	14	17	that	that	SCONJ
ap-2088	14	18	the	the	DET
ap-2088	14	19	number	number	NOUN
ap-2088	14	20	of	of	ADP
ap-2088	14	21	problems	problem	NOUN
ap-2088	14	22	which	which	PRON
ap-2088	14	23	could	could	AUX
ap-2088	14	24	be	be	AUX
ap-2088	14	25	solved	solve	VERB
ap-2088	14	26	at	at	ADP
ap-2088	14	27	any	any	DET
ap-2088	14	28	particular	particular	ADJ
ap-2088	14	29	epoch	epoch	NOUN
ap-2088	14	30	was	be	AUX
ap-2088	14	31	rather	rather	ADV
ap-2088	14	32	limited	limited	ADJ
ap-2088	14	33	.	.	PUNCT
ap-2088	15	1	the	the	DET
ap-2088	15	2	theoreticians	theoretician	NOUN
ap-2088	15	3	were	be	AUX
ap-2088	15	4	always	always	ADV
ap-2088	15	5	trying	try	VERB
ap-2088	15	6	to	to	PART
ap-2088	15	7	think	think	VERB
ap-2088	15	8	of	of	ADP
ap-2088	15	9	a	a	DET
ap-2088	15	10	new	new	ADJ
ap-2088	15	11	way	way	NOUN
ap-2088	15	12	to	to	PART
ap-2088	15	13	solve	solve	VERB
ap-2088	15	14	the	the	DET
ap-2088	15	15	unsolvable	unsolvable	ADJ
ap-2088	15	16	.	.	PUNCT
ap-2088	16	1	the	the	DET
ap-2088	16	2	calculus	calculus	NOUN
ap-2088	16	3	of	of	ADP
ap-2088	16	4	variations	variation	NOUN
ap-2088	16	5	provided	provide	VERB
ap-2088	16	6	one	one	NUM
ap-2088	16	7	way	way	NOUN
ap-2088	16	8	to	to	PART
ap-2088	16	9	look	look	VERB
ap-2088	16	10	for	for	ADP
ap-2088	16	11	solutions	solution	NOUN
ap-2088	16	12	from	from	ADP
ap-2088	16	13	a	a	DET
ap-2088	16	14	different	different	ADJ
ap-2088	16	15	direction	direction	NOUN
ap-2088	16	16	.	.	PUNCT
ap-2088	17	1	developing	develop	VERB
ap-2088	17	2	upon	upon	SCONJ
ap-2088	17	3	the	the	DET
ap-2088	17	4	work	work	NOUN
ap-2088	17	5	of	of	ADP
ap-2088	17	6	euler	euler	PROPN
ap-2088	17	7	,	,	PUNCT
ap-2088	17	8	lagrange	lagrange	NOUN
ap-2088	17	9	in	in	ADP
ap-2088	17	10	his	his	PRON
ap-2088	17	11	mécanique	mécanique	ADJ
ap-2088	17	12	analytique	analytique	NOUN
ap-2088	17	13	of	of	ADP
ap-2088	17	14	1788	1788	NUM
ap-2088	17	15	introduced	introduce	VERB
ap-2088	17	16	his	his	PRON
ap-2088	17	17	equations	equation	NOUN
ap-2088	17	18	of	of	ADP
ap-2088	17	19	motion	motion	NOUN
ap-2088	17	20	based	base	VERB
ap-2088	17	21	upon	upon	SCONJ
ap-2088	17	22	the	the	DET
ap-2088	17	23	variation	variation	NOUN
ap-2088	17	24	of	of	ADP
ap-2088	17	25	a	a	DET
ap-2088	17	26	functional	functional	ADJ
ap-2088	17	27	called	call	VERB
ap-2088	17	28	the	the	DET
ap-2088	17	29	action	action	NOUN
ap-2088	17	30	integral	integral	ADJ
ap-2088	17	31	.	.	PUNCT
ap-2088	18	1	as	as	ADV
ap-2088	18	2	far	far	ADV
ap-2088	18	3	as	as	SCONJ
ap-2088	18	4	classical	classical	ADJ
ap-2088	18	5	mechanics	mechanic	NOUN
ap-2088	18	6	was	be	AUX
ap-2088	18	7	concerned	concern	VERB
ap-2088	18	8	,	,	PUNCT
ap-2088	18	9	lagrange	lagrange	PROPN
ap-2088	18	10	’s	’s	PART
ap-2088	18	11	equations	equation	NOUN
ap-2088	18	12	of	of	ADP
ap-2088	18	13	motion	motion	NOUN
ap-2088	18	14	were	be	AUX
ap-2088	18	15	of	of	ADP
ap-2088	18	16	the	the	DET
ap-2088	18	17	second	second	ADJ
ap-2088	18	18	order	order	NOUN
ap-2088	18	19	.	.	PUNCT
ap-2088	19	1	in	in	ADP
ap-2088	19	2	principle	principle	NOUN
ap-2088	19	3	these	these	DET
ap-2088	19	4	equations	equation	NOUN
ap-2088	19	5	reduced	reduce	VERB
ap-2088	19	6	to	to	ADP
ap-2088	19	7	the	the	DET
ap-2088	19	8	corresponding	corresponding	ADJ
ap-2088	19	9	newtonian	newtonian	ADJ
ap-2088	19	10	equations	equation	NOUN
ap-2088	19	11	,	,	PUNCT
ap-2088	19	12	but	but	CCONJ
ap-2088	19	13	lagrange	lagrange	PROPN
ap-2088	19	14	had	have	AUX
ap-2088	19	15	introduced	introduce	VERB
ap-2088	19	16	the	the	DET
ap-2088	19	17	idea	idea	NOUN
ap-2088	19	18	of	of	ADP
ap-2088	19	19	generalised	generalise	VERB
ap-2088	19	20	coordinates	coordinate	NOUN
ap-2088	19	21	and	and	CCONJ
ap-2088	19	22	generalised	generalise	VERB
ap-2088	19	23	forces	force	NOUN
ap-2088	19	24	which	which	PRON
ap-2088	19	25	always	always	ADV
ap-2088	19	26	have	have	VERB
ap-2088	19	27	the	the	DET
ap-2088	19	28	possibility	possibility	NOUN
ap-2088	19	29	of	of	ADP
ap-2088	19	30	giving	give	VERB
ap-2088	19	31	equations	equation	NOUN
ap-2088	19	32	which	which	PRON
ap-2088	19	33	look	look	VERB
ap-2088	19	34	simpler	simple	ADJ
ap-2088	19	35	than	than	ADP
ap-2088	19	36	the	the	DET
ap-2088	19	37	naive	naive	ADJ
ap-2088	19	38	newtonian	newtonian	ADJ
ap-2088	19	39	equations	equation	NOUN
ap-2088	19	40	.	.	PUNCT
ap-2088	20	1	then	then	ADV
ap-2088	20	2	along	along	ADP
ap-2088	20	3	came	come	VERB
ap-2088	20	4	hamilton	hamilton	PROPN
ap-2088	20	5	,	,	PUNCT
ap-2088	20	6	who	who	PRON
ap-2088	20	7	decided	decide	VERB
ap-2088	20	8	to	to	PART
ap-2088	20	9	reduce	reduce	VERB
ap-2088	20	10	mechanics	mechanic	NOUN
ap-2088	20	11	to	to	ADP
ap-2088	20	12	a	a	DET
ap-2088	20	13	system	system	NOUN
ap-2088	20	14	of	of	ADP
ap-2088	20	15	first	first	ADJ
ap-2088	20	16	-	-	PUNCT
ap-2088	20	17	order	order	NOUN
ap-2088	20	18	equations	equation	NOUN
ap-2088	20	19	.	.	PUNCT
ap-2088	21	1	in	in	ADP
ap-2088	21	2	a	a	DET
ap-2088	21	3	sense	sense	NOUN
ap-2088	21	4	he	he	PRON
ap-2088	21	5	was	be	AUX
ap-2088	21	6	returning	return	VERB
ap-2088	21	7	to	to	ADP
ap-2088	21	8	the	the	DET
ap-2088	21	9	original	original	ADJ
ap-2088	21	10	formulation	formulation	NOUN
ap-2088	21	11	of	of	ADP
ap-2088	21	12	newton	newton	PROPN
ap-2088	21	13	ii	ii	PROPN
ap-2088	21	14	.	.	PUNCT
ap-2088	22	1	as	as	ADP
ap-2088	22	2	the	the	DET
ap-2088	22	3	hamiltonian	hamiltonian	NOUN
ap-2088	22	4	,	,	PUNCT
ap-2088	22	5	as	as	SCONJ
ap-2088	22	6	it	it	PRON
ap-2088	22	7	came	come	VERB
ap-2088	22	8	to	to	PART
ap-2088	22	9	be	be	AUX
ap-2088	22	10	called	call	VERB
ap-2088	22	11	,	,	PUNCT
ap-2088	22	12	was	be	AUX
ap-2088	22	13	derived	derive	VERB
ap-2088	22	14	by	by	ADP
ap-2088	22	15	introducing	introduce	VERB
ap-2088	22	16	a	a	DET
ap-2088	22	17	momentum	momentum	NOUN
ap-2088	22	18	as	as	ADP
ap-2088	22	19	a	a	DET
ap-2088	22	20	derivative	derivative	NOUN
ap-2088	22	21	of	of	ADP
ap-2088	22	22	the	the	DET
ap-2088	22	23	lagrangian	lagrangian	NOUN
ap-2088	22	24	and	and	CCONJ
ap-2088	22	25	then	then	ADV
ap-2088	22	26	obtained	obtain	VERB
ap-2088	22	27	by	by	ADP
ap-2088	22	28	using	use	VERB
ap-2088	22	29	a	a	DET
ap-2088	22	30	legendre	legendre	PROPN
ap-2088	22	31	transformation	transformation	NOUN
ap-2088	22	32	,	,	PUNCT
ap-2088	22	33	it	it	PRON
ap-2088	22	34	inherited	inherit	VERB
ap-2088	22	35	the	the	DET
ap-2088	22	36	generalised	generalise	VERB
ap-2088	22	37	coordinates	coordinate	NOUN
ap-2088	22	38	and	and	CCONJ
ap-2088	22	39	generalised	generalise	VERB
ap-2088	22	40	forces	force	NOUN
ap-2088	22	41	of	of	ADP
ap-2088	22	42	lagrangian	lagrangian	ADJ
ap-2088	22	43	mechanics	mechanic	NOUN
ap-2088	22	44	except	except	SCONJ
ap-2088	22	45	that	that	SCONJ
ap-2088	22	46	now	now	ADV
ap-2088	22	47	there	there	PRON
ap-2088	22	48	were	be	VERB
ap-2088	22	49	generalised	generalised	ADJ
ap-2088	22	50	coordinates	coordinate	NOUN
ap-2088	22	51	and	and	CCONJ
ap-2088	22	52	generalised	generalise	VERB
ap-2088	22	53	momenta	momenta	NOUN
ap-2088	22	54	.	.	PUNCT
ap-2088	23	1	one	one	NUM
ap-2088	23	2	of	of	ADP
ap-2088	23	3	the	the	DET
ap-2088	23	4	attractions	attraction	NOUN
ap-2088	23	5	of	of	ADP
ap-2088	23	6	hamilton	hamilton	PROPN
ap-2088	23	7	’s	’s	PART
ap-2088	23	8	approach	approach	NOUN
ap-2088	23	9	was	be	AUX
ap-2088	23	10	the	the	DET
ap-2088	23	11	introduction	introduction	NOUN
ap-2088	23	12	of	of	ADP
ap-2088	23	13	a	a	DET
ap-2088	23	14	theory	theory	NOUN
ap-2088	23	15	of	of	ADP
ap-2088	23	16	transformations	transformation	NOUN
ap-2088	23	17	whereby	whereby	SCONJ
ap-2088	23	18	one	one	PRON
ap-2088	23	19	could	could	AUX
ap-2088	23	20	transform	transform	VERB
ap-2088	23	21	from	from	ADP
ap-2088	23	22	one	one	NUM
ap-2088	23	23	hamiltonian	hamiltonian	NOUN
ap-2088	23	24	to	to	ADP
ap-2088	23	25	another	another	PRON
ap-2088	23	26	by	by	ADP
ap-2088	23	27	means	mean	NOUN
ap-2088	23	28	of	of	ADP
ap-2088	23	29	transformations	transformation	NOUN
ap-2088	23	30	which	which	PRON
ap-2088	23	31	obeyed	obey	VERB
ap-2088	23	32	certain	certain	ADJ
ap-2088	23	33	rules	rule	NOUN
ap-2088	23	34	.	.	PUNCT
ap-2088	24	1	hamiltonian	hamiltonian	ADJ
ap-2088	24	2	mechanics	mechanic	NOUN
ap-2088	24	3	was	be	AUX
ap-2088	24	4	and	and	CCONJ
ap-2088	24	5	is	be	AUX
ap-2088	24	6	a	a	DET
ap-2088	24	7	marvellous	marvellous	ADJ
ap-2088	24	8	theoretical	theoretical	ADJ
ap-2088	24	9	construct	construct	NOUN
ap-2088	24	10	which	which	PRON
ap-2088	24	11	does	do	AUX
ap-2088	24	12	have	have	VERB
ap-2088	24	13	some	some	DET
ap-2088	24	14	practical	practical	ADJ
ap-2088	24	15	uses	use	NOUN
ap-2088	24	16	.	.	PUNCT
ap-2088	25	1	however	however	ADV
ap-2088	25	2	,	,	PUNCT
ap-2088	25	3	as	as	ADP
ap-2088	25	4	a	a	DET
ap-2088	25	5	general	general	ADJ
ap-2088	25	6	tool	tool	NOUN
ap-2088	25	7	in	in	ADP
ap-2088	25	8	elementary	elementary	ADJ
ap-2088	25	9	mechanics	mechanic	NOUN
ap-2088	25	10	it	it	PRON
ap-2088	25	11	is	be	AUX
ap-2088	25	12	not	not	PART
ap-2088	25	13	of	of	ADP
ap-2088	25	14	much	much	ADJ
ap-2088	25	15	practical	practical	ADJ
ap-2088	25	16	use	use	NOUN
ap-2088	25	17	and	and	CCONJ
ap-2088	25	18	could	could	AUX
ap-2088	25	19	well	well	ADV
ap-2088	25	20	have	have	AUX
ap-2088	25	21	faded	fade	VERB
ap-2088	25	22	into	into	ADP
ap-2088	25	23	near	near	ADJ
ap-2088	25	24	-	-	PUNCT
ap-2088	25	25	oblivion	oblivion	NOUN
ap-2088	25	26	had	have	AUX
ap-2088	25	27	it	it	PRON
ap-2088	25	28	not	not	PART
ap-2088	25	29	been	be	AUX
ap-2088	25	30	for	for	ADP
ap-2088	25	31	the	the	DET
ap-2088	25	32	observation	observation	NOUN
ap-2088	25	33	of	of	ADP
ap-2088	25	34	dirac	dirac	NOUN
ap-2088	25	35	.	.	PUNCT
ap-2088	26	1	now	now	ADV
ap-2088	26	2	hamiltonian	hamiltonian	ADJ
ap-2088	26	3	mechanics	mechanic	NOUN
ap-2088	26	4	provided	provide	VERB
ap-2088	26	5	a	a	DET
ap-2088	26	6	lodestone	lodestone	NOUN
ap-2088	26	7	to	to	ADP
ap-2088	26	8	the	the	DET
ap-2088	26	9	new	new	ADJ
ap-2088	26	10	quantum	quantum	NOUN
ap-2088	26	11	mechanics	mechanic	NOUN
ap-2088	26	12	.	.	PUNCT
ap-2088	27	1	2	2	X
ap-2088	27	2	.	.	X
ap-2088	27	3	a	a	DET
ap-2088	27	4	problem	problem	NOUN
ap-2088	27	5	we	we	PRON
ap-2088	27	6	have	have	AUX
ap-2088	27	7	remarked	remark	VERB
ap-2088	27	8	that	that	SCONJ
ap-2088	27	9	the	the	DET
ap-2088	27	10	basis	basis	NOUN
ap-2088	27	11	of	of	ADP
ap-2088	27	12	these	these	DET
ap-2088	27	13	theoretical	theoretical	ADJ
ap-2088	27	14	constructs	construct	NOUN
ap-2088	27	15	can	can	AUX
ap-2088	27	16	be	be	AUX
ap-2088	27	17	seen	see	VERB
ap-2088	27	18	in	in	ADP
ap-2088	27	19	the	the	DET
ap-2088	27	20	equations	equation	NOUN
ap-2088	27	21	of	of	ADP
ap-2088	27	22	motion	motion	NOUN
ap-2088	27	23	of	of	ADP
ap-2088	27	24	newton	newton	PROPN
ap-2088	27	25	,	,	PUNCT
ap-2088	27	26	particularly	particularly	ADV
ap-2088	27	27	in	in	ADP
ap-2088	27	28	the	the	DET
ap-2088	27	29	perturbation	perturbation	NOUN
ap-2088	27	30	theory	theory	NOUN
ap-2088	27	31	of	of	ADP
ap-2088	27	32	orbital	orbital	ADJ
ap-2088	27	33	mechanics	mechanic	NOUN
ap-2088	27	34	.	.	PUNCT
ap-2088	28	1	the	the	DET
ap-2088	28	2	construction	construction	NOUN
ap-2088	28	3	of	of	ADP
ap-2088	28	4	an	an	DET
ap-2088	28	5	hamiltonian	hamiltonian	NOUN
ap-2088	28	6	from	from	ADP
ap-2088	28	7	a	a	DET
ap-2088	28	8	lagrangian	lagrangian	NOUN
ap-2088	28	9	is	be	AUX
ap-2088	28	10	a	a	DET
ap-2088	28	11	quite	quite	ADV
ap-2088	28	12	definite	definite	ADJ
ap-2088	28	13	procedure	procedure	NOUN
ap-2088	28	14	.	.	PUNCT
ap-2088	29	1	however	however	ADV
ap-2088	29	2	,	,	PUNCT
ap-2088	29	3	the	the	DET
ap-2088	29	4	construction	construction	NOUN
ap-2088	29	5	of	of	ADP
ap-2088	29	6	a	a	DET
ap-2088	29	7	lagrangian	lagrangian	NOUN
ap-2088	29	8	which	which	PRON
ap-2088	29	9	leads	lead	VERB
ap-2088	29	10	to	to	ADP
ap-2088	29	11	the	the	DET
ap-2088	29	12	proper	proper	ADJ
ap-2088	29	13	newtonian	newtonian	ADJ
ap-2088	29	14	equation	equation	NOUN
ap-2088	29	15	of	of	ADP
ap-2088	29	16	motion	motion	NOUN
ap-2088	29	17	,	,	PUNCT
ap-2088	29	18	which	which	PRON
ap-2088	29	19	in	in	ADP
ap-2088	29	20	itself	itself	PRON
ap-2088	29	21	begs	beg	VERB
ap-2088	29	22	the	the	DET
ap-2088	29	23	question	question	NOUN
ap-2088	29	24	of	of	ADP
ap-2088	29	25	properness	properness	NOUN
ap-2088	29	26	,	,	PUNCT
ap-2088	29	27	is	be	AUX
ap-2088	29	28	by	by	ADP
ap-2088	29	29	no	no	DET
ap-2088	29	30	means	mean	NOUN
ap-2088	29	31	unique	unique	ADJ
ap-2088	29	32	.	.	PUNCT
ap-2088	30	1	we	we	PRON
ap-2088	30	2	take	take	VERB
ap-2088	30	3	a	a	DET
ap-2088	30	4	very	very	ADV
ap-2088	30	5	elementary	elementary	ADJ
ap-2088	30	6	example	example	NOUN
ap-2088	30	7	,	,	PUNCT
ap-2088	30	8	namely	namely	ADV
ap-2088	30	9	the	the	DET
ap-2088	30	10	simple	simple	ADJ
ap-2088	30	11	harmonic	harmonic	ADJ
ap-2088	30	12	oscillator	oscillator	NOUN
ap-2088	30	13	in	in	ADP
ap-2088	30	14	one	one	NUM
ap-2088	30	15	space	space	NOUN
ap-2088	30	16	dimension	dimension	NOUN
ap-2088	30	17	.	.	PUNCT
ap-2088	31	1	the	the	DET
ap-2088	31	2	newtonian	newtonian	ADJ
ap-2088	31	3	equation	equation	NOUN
ap-2088	31	4	of	of	ADP
ap-2088	31	5	motion	motion	NOUN
ap-2088	31	6	is	be	AUX
ap-2088	31	7	q̈	q̈	PROPN
ap-2088	31	8	+	+	CCONJ
ap-2088	31	9	q	q	X
ap-2088	31	10	=	=	SYM
ap-2088	31	11	0	0	NUM
ap-2088	31	12	(	(	PUNCT
ap-2088	31	13	1	1	NUM
ap-2088	31	14	)	)	PUNCT
ap-2088	31	15	in	in	ADP
ap-2088	31	16	which	which	PRON
ap-2088	31	17	we	we	PRON
ap-2088	31	18	have	have	AUX
ap-2088	31	19	scaled	scale	VERB
ap-2088	31	20	the	the	DET
ap-2088	31	21	time	time	NOUN
ap-2088	31	22	to	to	PART
ap-2088	31	23	remove	remove	VERB
ap-2088	31	24	a	a	DET
ap-2088	31	25	distracting	distract	VERB
ap-2088	31	26	ω2	ω2	NOUN
ap-2088	31	27	.	.	PUNCT
ap-2088	32	1	equation	equation	NOUN
ap-2088	32	2	(	(	PUNCT
ap-2088	32	3	1	1	X
ap-2088	32	4	)	)	PUNCT
ap-2088	32	5	has	have	VERB
ap-2088	32	6	a	a	DET
ap-2088	32	7	plethora	plethora	NOUN
ap-2088	32	8	of	of	ADP
ap-2088	32	9	lagrangians	lagrangians	PROPN
ap-2088	32	10	.	.	PUNCT
ap-2088	33	1	for	for	ADP
ap-2088	33	2	a	a	DET
ap-2088	33	3	modest	modest	ADJ
ap-2088	33	4	sampling	sampling	NOUN
ap-2088	33	5	see	see	NOUN
ap-2088	33	6	[	[	X
ap-2088	33	7	4	4	NUM
ap-2088	33	8	]	]	PUNCT
ap-2088	33	9	.	.	PUNCT
ap-2088	34	1	here	here	ADV
ap-2088	34	2	we	we	PRON
ap-2088	34	3	consider	consider	VERB
ap-2088	34	4	just	just	ADV
ap-2088	34	5	three	three	NUM
ap-2088	34	6	,	,	PUNCT
ap-2088	34	7	127	127	NUM
ap-2088	34	8	http://dx.doi.org/10.14311/ap.2014.54.0127	http://dx.doi.org/10.14311/ap.2014.54.0127	ADP
ap-2088	34	9	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2088	34	10	p.	p.	NOUN
ap-2088	34	11	g.	g.	PROPN
ap-2088	34	12	l.	l.	PROPN
ap-2088	34	13	leach	leach	PROPN
ap-2088	34	14	acta	acta	PROPN
ap-2088	34	15	polytechnica	polytechnica	PROPN
ap-2088	34	16	namely	namely	ADV
ap-2088	34	17	l1	l1	PROPN
ap-2088	34	18	=	=	SYM
ap-2088	34	19	1	1	NUM
ap-2088	34	20	2	2	NUM
ap-2088	34	21	(	(	PUNCT
ap-2088	34	22	q̇2	q̇2	NOUN
ap-2088	34	23	−	−	NOUN
ap-2088	34	24	q	q	NOUN
ap-2088	34	25	)	)	PUNCT
ap-2088	34	26	,	,	PUNCT
ap-2088	34	27	(	(	PUNCT
ap-2088	34	28	2	2	X
ap-2088	34	29	)	)	PUNCT
ap-2088	34	30	l2	l2	NOUN
ap-2088	34	31	=	=	SYM
ap-2088	34	32	1	1	NUM
ap-2088	34	33	2	2	NUM
ap-2088	34	34	sin2	sin2	NOUN
ap-2088	34	35	t	t	PROPN
ap-2088	34	36	(	(	PUNCT
ap-2088	34	37	q̇	q̇	ADV
ap-2088	34	38	sin	sin	VERB
ap-2088	34	39	t−	t−	PROPN
ap-2088	34	40	q	q	PROPN
ap-2088	34	41	cos	cos	PROPN
ap-2088	34	42	t	t	PROPN
ap-2088	34	43	)	)	PUNCT
ap-2088	34	44	and	and	CCONJ
ap-2088	34	45	(	(	PUNCT
ap-2088	34	46	3	3	X
ap-2088	34	47	)	)	PUNCT
ap-2088	34	48	l3	l3	NOUN
ap-2088	34	49	=	=	SYM
ap-2088	34	50	1	1	NUM
ap-2088	34	51	2	2	NUM
ap-2088	34	52	cos2	cos2	NOUN
ap-2088	34	53	t	t	PROPN
ap-2088	34	54	(	(	PUNCT
ap-2088	34	55	q̇	q̇	PROPN
ap-2088	34	56	cos	cos	PROPN
ap-2088	34	57	t	t	PROPN
ap-2088	35	1	+	+	CCONJ
ap-2088	35	2	q	q	PROPN
ap-2088	35	3	sin	sin	NOUN
ap-2088	35	4	t	t	PROPN
ap-2088	35	5	)	)	PUNCT
ap-2088	35	6	.	.	PUNCT
ap-2088	36	1	(	(	PUNCT
ap-2088	36	2	4	4	X
ap-2088	36	3	)	)	PUNCT
ap-2088	36	4	these	these	DET
ap-2088	36	5	lagrangians	lagrangians	PROPN
ap-2088	36	6	share	share	VERB
ap-2088	36	7	a	a	DET
ap-2088	36	8	common	common	ADJ
ap-2088	36	9	property	property	NOUN
ap-2088	36	10	in	in	ADP
ap-2088	36	11	that	that	SCONJ
ap-2088	36	12	they	they	PRON
ap-2088	36	13	all	all	PRON
ap-2088	36	14	possess	possess	VERB
ap-2088	36	15	five	five	NUM
ap-2088	36	16	point	point	NOUN
ap-2088	36	17	noether	noether	ADJ
ap-2088	36	18	symmetries	symmetry	NOUN
ap-2088	36	19	,	,	PUNCT
ap-2088	36	20	which	which	PRON
ap-2088	36	21	is	be	AUX
ap-2088	36	22	the	the	DET
ap-2088	36	23	maximal	maximal	ADJ
ap-2088	36	24	number	number	NOUN
ap-2088	36	25	for	for	ADP
ap-2088	36	26	a	a	DET
ap-2088	36	27	one	one	NUM
ap-2088	36	28	-	-	PUNCT
ap-2088	36	29	degree	degree	NOUN
ap-2088	36	30	-	-	PUNCT
ap-2088	36	31	of	of	ADP
ap-2088	36	32	-	-	PUNCT
ap-2088	36	33	freedom	freedom	NOUN
ap-2088	36	34	system	system	NOUN
ap-2088	36	35	.	.	PUNCT
ap-2088	37	1	in	in	ADP
ap-2088	37	2	each	each	DET
ap-2088	37	3	case	case	NOUN
ap-2088	37	4	the	the	DET
ap-2088	37	5	algebra	algebra	NOUN
ap-2088	37	6	of	of	ADP
ap-2088	37	7	the	the	DET
ap-2088	37	8	symmetries	symmetry	NOUN
ap-2088	37	9	is	be	AUX
ap-2088	37	10	sl(2	sl(2	PROPN
ap-2088	37	11	,	,	PUNCT
ap-2088	37	12	r)⊕s	r)⊕s	NOUN
ap-2088	37	13	2a1	2a1	NUM
ap-2088	37	14	,	,	PUNCT
ap-2088	37	15	which	which	PRON
ap-2088	37	16	is	be	AUX
ap-2088	37	17	a	a	DET
ap-2088	37	18	subalgebra	subalgebra	NOUN
ap-2088	37	19	of	of	ADP
ap-2088	37	20	the	the	DET
ap-2088	37	21	sl(3	sl(3	PROPN
ap-2088	37	22	,	,	PUNCT
ap-2088	37	23	r	r	NOUN
ap-2088	37	24	)	)	PUNCT
ap-2088	37	25	algebra	algebra	NOUN
ap-2088	37	26	of	of	ADP
ap-2088	37	27	(	(	PUNCT
ap-2088	37	28	1	1	NUM
ap-2088	37	29	)	)	PUNCT
ap-2088	37	30	.	.	PUNCT
ap-2088	38	1	the	the	DET
ap-2088	38	2	standard	standard	ADJ
ap-2088	38	3	formalism	formalism	NOUN
ap-2088	38	4	leads	lead	VERB
ap-2088	38	5	to	to	ADP
ap-2088	38	6	three	three	NUM
ap-2088	38	7	hamiltonians	hamiltonian	NOUN
ap-2088	38	8	.	.	PUNCT
ap-2088	39	1	these	these	PRON
ap-2088	39	2	are	be	AUX
ap-2088	39	3	h1	h1	ADJ
ap-2088	39	4	=	=	SYM
ap-2088	39	5	1	1	NUM
ap-2088	39	6	2	2	NUM
ap-2088	39	7	(	(	PUNCT
ap-2088	39	8	p2	p2	X
ap-2088	39	9	+	+	CCONJ
ap-2088	39	10	q2	q2	NOUN
ap-2088	39	11	)	)	PUNCT
ap-2088	39	12	(	(	PUNCT
ap-2088	39	13	5	5	X
ap-2088	39	14	)	)	PUNCT
ap-2088	39	15	h2	h2	NOUN
ap-2088	39	16	=	=	SYM
ap-2088	39	17	pq	pq	PROPN
ap-2088	39	18	cot	cot	NOUN
ap-2088	39	19	t	t	PROPN
ap-2088	40	1	+	+	CCONJ
ap-2088	40	2	i	i	PRON
ap-2088	40	3	√	√	VERB
ap-2088	40	4	p	p	PROPN
ap-2088	41	1	sin3	sin3	PROPN
ap-2088	41	2	/2	/2	PROPN
ap-2088	41	3	t	t	PROPN
ap-2088	41	4	and	and	CCONJ
ap-2088	41	5	(	(	PUNCT
ap-2088	41	6	6	6	NUM
ap-2088	41	7	)	)	PUNCT
ap-2088	41	8	h3	h3	NOUN
ap-2088	41	9	=	=	SYM
ap-2088	41	10	−pq	−pq	PROPN
ap-2088	41	11	tan	tan	NOUN
ap-2088	42	1	t	t	NOUN
ap-2088	43	1	+	+	CCONJ
ap-2088	43	2	i	i	PRON
ap-2088	43	3	√	√	VERB
ap-2088	43	4	2p	2p	NUM
ap-2088	43	5	cos3/2	cos3/2	PROPN
ap-2088	43	6	t	t	PROPN
ap-2088	43	7	(	(	PUNCT
ap-2088	43	8	7	7	NUM
ap-2088	43	9	)	)	PUNCT
ap-2088	43	10	with	with	ADP
ap-2088	43	11	the	the	DET
ap-2088	43	12	canonical	canonical	ADJ
ap-2088	43	13	momentum	momentum	NOUN
ap-2088	43	14	in	in	ADP
ap-2088	43	15	each	each	DET
ap-2088	43	16	case	case	NOUN
ap-2088	43	17	being	be	AUX
ap-2088	43	18	l1	l1	PROPN
ap-2088	43	19	p	p	PROPN
ap-2088	43	20	=	=	PUNCT
ap-2088	43	21	q̇	q̇	NOUN
ap-2088	43	22	l2	l2	NOUN
ap-2088	43	23	p	p	NOUN
ap-2088	43	24	=	=	NOUN
ap-2088	43	25	−	−	PROPN
ap-2088	43	26	cosec	cosec	ADJ
ap-2088	43	27	t	t	NOUN
ap-2088	43	28	2	2	NUM
ap-2088	43	29	(	(	PUNCT
ap-2088	43	30	q̇	q̇	ADV
ap-2088	43	31	sin	sin	VERB
ap-2088	43	32	t−	t−	PROPN
ap-2088	43	33	q	q	X
ap-2088	43	34	cos	cos	PROPN
ap-2088	43	35	t)2	t)2	PROPN
ap-2088	43	36	and	and	CCONJ
ap-2088	43	37	l3	l3	PROPN
ap-2088	43	38	p	p	NOUN
ap-2088	43	39	=	=	PUNCT
ap-2088	43	40	−	−	PROPN
ap-2088	43	41	sec	sec	PROPN
ap-2088	43	42	t	t	PROPN
ap-2088	43	43	2	2	NUM
ap-2088	43	44	(	(	PUNCT
ap-2088	43	45	q	q	NOUN
ap-2088	43	46	sin	sin	NOUN
ap-2088	43	47	t	t	PROPN
ap-2088	43	48	+	+	CCONJ
ap-2088	43	49	q̇	q̇	PROPN
ap-2088	43	50	cos	cos	PROPN
ap-2088	43	51	t)2	t)2	PROPN
ap-2088	43	52	.	.	PUNCT
ap-2088	44	1	the	the	DET
ap-2088	44	2	‘	'	PUNCT
ap-2088	44	3	quantisation	quantisation	NOUN
ap-2088	44	4	procedure	procedure	NOUN
ap-2088	44	5	’	'	PUNCT
ap-2088	44	6	for	for	ADP
ap-2088	44	7	h1	h1	PROPN
ap-2088	44	8	(	(	PUNCT
ap-2088	44	9	5	5	NUM
ap-2088	44	10	)	)	PUNCT
ap-2088	44	11	is	be	AUX
ap-2088	44	12	well	well	ADV
ap-2088	44	13	known	know	VERB
ap-2088	44	14	and	and	CCONJ
ap-2088	44	15	leads	lead	VERB
ap-2088	44	16	to	to	ADP
ap-2088	44	17	the	the	DET
ap-2088	44	18	equation	equation	NOUN
ap-2088	45	1	2iut	2iut	NUM
ap-2088	45	2	=	=	SYM
ap-2088	45	3	−uqq	−uqq	NOUN
ap-2088	45	4	−	−	PROPN
ap-2088	46	1	q2u	q2u	PROPN
ap-2088	47	1	(	(	PUNCT
ap-2088	48	1	8)	8)	NUM
ap-2088	48	2	about	about	ADP
ap-2088	48	3	which	which	PRON
ap-2088	48	4	any	any	DET
ap-2088	48	5	competent	competent	ADJ
ap-2088	48	6	undergraduate	undergraduate	NOUN
ap-2088	48	7	can	can	AUX
ap-2088	48	8	write	write	VERB
ap-2088	48	9	at	at	ADP
ap-2088	48	10	length	length	NOUN
ap-2088	48	11	.	.	PUNCT
ap-2088	49	1	in	in	ADP
ap-2088	49	2	principle	principle	NOUN
ap-2088	49	3	we	we	PRON
ap-2088	49	4	may	may	AUX
ap-2088	49	5	follow	follow	VERB
ap-2088	49	6	the	the	DET
ap-2088	49	7	same	same	ADJ
ap-2088	49	8	procedure	procedure	NOUN
ap-2088	49	9	for	for	ADP
ap-2088	49	10	h2	h2	NOUN
ap-2088	49	11	and	and	CCONJ
ap-2088	49	12	h3	h3	NOUN
ap-2088	49	13	.	.	PUNCT
ap-2088	50	1	however	however	ADV
ap-2088	50	2	,	,	PUNCT
ap-2088	50	3	there	there	PRON
ap-2088	50	4	are	be	VERB
ap-2088	50	5	two	two	NUM
ap-2088	50	6	problems	problem	NOUN
ap-2088	50	7	.	.	PUNCT
ap-2088	51	1	the	the	DET
ap-2088	51	2	first	first	ADJ
ap-2088	51	3	is	be	AUX
ap-2088	51	4	the	the	DET
ap-2088	51	5	presence	presence	NOUN
ap-2088	51	6	of	of	ADP
ap-2088	51	7	√p	√p	NOUN
ap-2088	51	8	,	,	PUNCT
ap-2088	51	9	which	which	PRON
ap-2088	51	10	doubtless	doubtless	VERB
ap-2088	51	11	makes	make	VERB
ap-2088	51	12	the	the	DET
ap-2088	51	13	process	process	NOUN
ap-2088	51	14	a	a	DET
ap-2088	51	15	little	little	ADV
ap-2088	51	16	complicated	complicated	ADJ
ap-2088	51	17	.	.	PUNCT
ap-2088	52	1	it	it	PRON
ap-2088	52	2	is	be	AUX
ap-2088	52	3	true	true	ADJ
ap-2088	52	4	that	that	SCONJ
ap-2088	52	5	there	there	PRON
ap-2088	52	6	exist	exist	VERB
ap-2088	52	7	procedures	procedure	NOUN
ap-2088	52	8	for	for	ADP
ap-2088	52	9	dealing	deal	VERB
ap-2088	52	10	with	with	ADP
ap-2088	52	11	nonstandard	nonstandard	ADJ
ap-2088	52	12	forms	form	NOUN
ap-2088	52	13	,	,	PUNCT
ap-2088	52	14	but	but	CCONJ
ap-2088	52	15	this	this	PRON
ap-2088	52	16	is	be	AUX
ap-2088	52	17	not	not	PART
ap-2088	52	18	the	the	DET
ap-2088	52	19	place	place	NOUN
ap-2088	52	20	to	to	PART
ap-2088	52	21	deal	deal	VERB
ap-2088	52	22	with	with	ADP
ap-2088	52	23	such	such	ADJ
ap-2088	52	24	things	thing	NOUN
ap-2088	52	25	as	as	SCONJ
ap-2088	52	26	we	we	PRON
ap-2088	52	27	are	be	AUX
ap-2088	52	28	considering	consider	VERB
ap-2088	52	29	a	a	DET
ap-2088	52	30	very	very	ADV
ap-2088	52	31	elementary	elementary	ADJ
ap-2088	52	32	problem	problem	NOUN
ap-2088	52	33	.	.	PUNCT
ap-2088	53	1	the	the	DET
ap-2088	53	2	other	other	ADJ
ap-2088	53	3	difficulty	difficulty	NOUN
ap-2088	53	4	is	be	AUX
ap-2088	53	5	that	that	SCONJ
ap-2088	53	6	,	,	PUNCT
ap-2088	53	7	even	even	ADV
ap-2088	53	8	neglecting	neglect	VERB
ap-2088	53	9	the	the	DET
ap-2088	53	10	fractional	fractional	ADJ
ap-2088	53	11	power	power	NOUN
ap-2088	53	12	,	,	PUNCT
ap-2088	53	13	the	the	DET
ap-2088	53	14	resulting	result	VERB
ap-2088	53	15	schrödinger	schrödinger	ADJ
ap-2088	53	16	equation	equation	NOUN
ap-2088	53	17	would	would	AUX
ap-2088	53	18	be	be	AUX
ap-2088	53	19	linear	linear	ADJ
ap-2088	53	20	in	in	ADP
ap-2088	53	21	the	the	DET
ap-2088	53	22	spatial	spatial	ADJ
ap-2088	53	23	derivative	derivative	NOUN
ap-2088	53	24	.	.	PUNCT
ap-2088	54	1	the	the	DET
ap-2088	54	2	question	question	NOUN
ap-2088	54	3	is	be	AUX
ap-2088	54	4	what	what	PRON
ap-2088	54	5	to	to	PART
ap-2088	54	6	do	do	VERB
ap-2088	54	7	?	?	PUNCT
ap-2088	55	1	there	there	PRON
ap-2088	55	2	are	be	VERB
ap-2088	55	3	various	various	ADJ
ap-2088	55	4	possibilities	possibility	NOUN
ap-2088	55	5	:	:	PUNCT
ap-2088	55	6	(	(	PUNCT
ap-2088	55	7	1	1	X
ap-2088	55	8	.	.	PUNCT
ap-2088	55	9	)	)	PUNCT
ap-2088	56	1	a	a	DET
ap-2088	56	2	mistake	mistake	NOUN
ap-2088	56	3	was	be	AUX
ap-2088	56	4	made	make	VERB
ap-2088	56	5	in	in	ADP
ap-2088	56	6	the	the	DET
ap-2088	56	7	calculation	calculation	NOUN
ap-2088	56	8	of	of	ADP
ap-2088	56	9	the	the	DET
ap-2088	56	10	second	second	ADJ
ap-2088	56	11	and	and	CCONJ
ap-2088	56	12	third	third	ADJ
ap-2088	56	13	hamiltonians	hamiltonian	NOUN
ap-2088	56	14	.	.	PUNCT
ap-2088	57	1	this	this	PRON
ap-2088	57	2	is	be	AUX
ap-2088	57	3	unlikely	unlikely	ADJ
ap-2088	57	4	as	as	SCONJ
ap-2088	57	5	the	the	DET
ap-2088	57	6	algorithm	algorithm	NOUN
ap-2088	57	7	is	be	AUX
ap-2088	57	8	particularly	particularly	ADV
ap-2088	57	9	simple	simple	ADJ
ap-2088	57	10	and	and	CCONJ
ap-2088	57	11	mathematica	mathematica	PROPN
ap-2088	57	12	is	be	AUX
ap-2088	57	13	much	much	ADV
ap-2088	57	14	better	well	ADJ
ap-2088	57	15	at	at	ADP
ap-2088	57	16	arithmetic	arithmetic	ADJ
ap-2088	57	17	than	than	SCONJ
ap-2088	57	18	i	i	PRON
ap-2088	57	19	am	be	AUX
ap-2088	57	20	.	.	PUNCT
ap-2088	58	1	(	(	PUNCT
ap-2088	58	2	2	2	NUM
ap-2088	58	3	.	.	PUNCT
ap-2088	58	4	)	)	PUNCT
ap-2088	59	1	the	the	DET
ap-2088	59	2	process	process	NOUN
ap-2088	59	3	was	be	AUX
ap-2088	59	4	initiated	initiate	VERB
ap-2088	59	5	under	under	ADP
ap-2088	59	6	false	false	ADJ
ap-2088	59	7	pretences	pretence	NOUN
ap-2088	59	8	.	.	PUNCT
ap-2088	60	1	one	one	NUM
ap-2088	60	2	recalls	recall	VERB
ap-2088	60	3	that	that	SCONJ
ap-2088	60	4	the	the	DET
ap-2088	60	5	simple	simple	ADJ
ap-2088	60	6	harmonic	harmonic	ADJ
ap-2088	60	7	oscillator	oscillator	NOUN
ap-2088	60	8	has	have	VERB
ap-2088	60	9	three	three	NUM
ap-2088	60	10	linearly	linearly	ADV
ap-2088	60	11	independent	independent	ADJ
ap-2088	60	12	quadratic	quadratic	ADJ
ap-2088	60	13	integrals	integral	NOUN
ap-2088	60	14	.	.	PUNCT
ap-2088	61	1	they	they	PRON
ap-2088	61	2	are	be	AUX
ap-2088	61	3	i1	i1	PROPN
ap-2088	61	4	=	=	PUNCT
ap-2088	61	5	1	1	NUM
ap-2088	61	6	2	2	NUM
ap-2088	61	7	(	(	PUNCT
ap-2088	61	8	q̇2	q̇2	NOUN
ap-2088	61	9	+	+	NOUN
ap-2088	61	10	q2	q2	NOUN
ap-2088	61	11	)	)	PUNCT
ap-2088	61	12	,	,	PUNCT
ap-2088	61	13	i2	i2	NOUN
ap-2088	61	14	=	=	NOUN
ap-2088	61	15	1	1	NUM
ap-2088	61	16	2e2it	2e2it	NUM
ap-2088	61	17	{	{	PUNCT
ap-2088	61	18	(	(	PUNCT
ap-2088	61	19	q̇2	q̇2	NOUN
ap-2088	61	20	−	−	PROPN
ap-2088	61	21	q2	q2	NOUN
ap-2088	61	22	)	)	PUNCT
ap-2088	62	1	−	−	PROPN
ap-2088	63	1	2iqq̇	2iqq̇	NUM
ap-2088	63	2	}	}	PUNCT
ap-2088	63	3	and	and	CCONJ
ap-2088	63	4	i3	i3	NOUN
ap-2088	63	5	=	=	SYM
ap-2088	63	6	1	1	NUM
ap-2088	63	7	2e−2it	2e−2it	NUM
ap-2088	63	8	{	{	PUNCT
ap-2088	63	9	(	(	PUNCT
ap-2088	63	10	q̇2	q̇2	NOUN
ap-2088	63	11	−	−	PROPN
ap-2088	63	12	q2	q2	NOUN
ap-2088	63	13	)	)	PUNCT
ap-2088	64	1	+	+	CCONJ
ap-2088	64	2	2iqq̇	2iqq̇	NUM
ap-2088	64	3	}	}	PUNCT
ap-2088	64	4	.	.	PUNCT
ap-2088	65	1	the	the	DET
ap-2088	65	2	first	first	ADJ
ap-2088	65	3	integral	integral	ADJ
ap-2088	65	4	,	,	PUNCT
ap-2088	65	5	i1	i1	PROPN
ap-2088	65	6	,	,	PUNCT
ap-2088	65	7	corresponds	correspond	VERB
ap-2088	65	8	to	to	ADP
ap-2088	65	9	the	the	DET
ap-2088	65	10	hamiltonian	hamiltonian	NOUN
ap-2088	65	11	and	and	CCONJ
ap-2088	65	12	equally	equally	ADV
ap-2088	65	13	leads	lead	VERB
ap-2088	65	14	to	to	ADP
ap-2088	65	15	the	the	DET
ap-2088	65	16	schrödinger	schrödinger	ADJ
ap-2088	65	17	equation	equation	NOUN
ap-2088	65	18	given	give	VERB
ap-2088	65	19	above	above	ADV
ap-2088	65	20	.	.	PUNCT
ap-2088	66	1	i2	i2	PROPN
ap-2088	66	2	and	and	CCONJ
ap-2088	66	3	i3	i3	PROPN
ap-2088	66	4	can	can	AUX
ap-2088	66	5	also	also	ADV
ap-2088	66	6	be	be	AUX
ap-2088	66	7	used	use	VERB
ap-2088	66	8	to	to	PART
ap-2088	66	9	construct	construct	VERB
ap-2088	66	10	schrödinger	schrödinger	ADJ
ap-2088	66	11	equations	equation	NOUN
ap-2088	66	12	,	,	PUNCT
ap-2088	66	13	but	but	CCONJ
ap-2088	66	14	the	the	DET
ap-2088	66	15	question	question	NOUN
ap-2088	66	16	is	be	AUX
ap-2088	66	17	that	that	PRON
ap-2088	66	18	of	of	ADP
ap-2088	66	19	meaning	meaning	NOUN
ap-2088	66	20	[	[	X
ap-2088	66	21	5	5	NUM
ap-2088	66	22	]	]	PUNCT
ap-2088	66	23	.	.	PUNCT
ap-2088	67	1	one	one	NUM
ap-2088	67	2	feature	feature	NOUN
ap-2088	67	3	of	of	ADP
ap-2088	67	4	the	the	DET
ap-2088	67	5	schrödinger	schrödinger	ADJ
ap-2088	67	6	equation	equation	NOUN
ap-2088	67	7	for	for	ADP
ap-2088	67	8	h1	h1	NOUN
ap-2088	67	9	is	be	AUX
ap-2088	67	10	that	that	SCONJ
ap-2088	67	11	it	it	PRON
ap-2088	67	12	is	be	AUX
ap-2088	67	13	a	a	DET
ap-2088	67	14	parabolic	parabolic	ADJ
ap-2088	67	15	equation	equation	NOUN
ap-2088	67	16	which	which	PRON
ap-2088	67	17	has	have	VERB
ap-2088	67	18	the	the	DET
ap-2088	67	19	same	same	ADJ
ap-2088	67	20	specific	specific	ADJ
ap-2088	67	21	algebra	algebra	NOUN
ap-2088	67	22	as	as	ADP
ap-2088	67	23	l1	l1	PROPN
ap-2088	67	24	.	.	PUNCT
ap-2088	68	1	one	one	PRON
ap-2088	68	2	could	could	AUX
ap-2088	68	3	take	take	VERB
ap-2088	68	4	the	the	DET
ap-2088	68	5	noether	noether	ADJ
ap-2088	68	6	symmetries	symmetry	NOUN
ap-2088	68	7	of	of	ADP
ap-2088	68	8	l2	l2	NOUN
ap-2088	68	9	,	,	PUNCT
ap-2088	68	10	respectively	respectively	ADV
ap-2088	68	11	l3	l3	NOUN
ap-2088	68	12	,	,	PUNCT
ap-2088	68	13	and	and	CCONJ
ap-2088	68	14	construct	construct	VERB
ap-2088	68	15	the	the	DET
ap-2088	68	16	corresponding	correspond	VERB
ap-2088	68	17	schrödinger	schrödinger	ADJ
ap-2088	68	18	equation	equation	NOUN
ap-2088	68	19	with	with	ADP
ap-2088	68	20	the	the	DET
ap-2088	68	21	additional	additional	ADJ
ap-2088	68	22	requirement	requirement	NOUN
ap-2088	68	23	that	that	SCONJ
ap-2088	68	24	it	it	PRON
ap-2088	68	25	be	be	VERB
ap-2088	68	26	linear	linear	ADJ
ap-2088	68	27	.	.	PUNCT
ap-2088	69	1	the	the	DET
ap-2088	69	2	meaning	meaning	NOUN
ap-2088	69	3	of	of	ADP
ap-2088	69	4	the	the	DET
ap-2088	69	5	outcome	outcome	NOUN
ap-2088	69	6	could	could	AUX
ap-2088	69	7	be	be	AUX
ap-2088	69	8	of	of	ADP
ap-2088	69	9	interest	interest	NOUN
ap-2088	69	10	[	[	X
ap-2088	69	11	6	6	NUM
ap-2088	69	12	]	]	PUNCT
ap-2088	69	13	.	.	PUNCT
ap-2088	70	1	one	one	PRON
ap-2088	70	2	could	could	AUX
ap-2088	70	3	conclude	conclude	VERB
ap-2088	70	4	that	that	SCONJ
ap-2088	70	5	the	the	DET
ap-2088	70	6	similarity	similarity	NOUN
ap-2088	70	7	of	of	ADP
ap-2088	70	8	the	the	DET
ap-2088	70	9	operators	operator	NOUN
ap-2088	70	10	introduced	introduce	VERB
ap-2088	70	11	by	by	ADP
ap-2088	70	12	dirac	dirac	NOUN
ap-2088	70	13	and	and	CCONJ
ap-2088	70	14	their	their	PRON
ap-2088	70	15	identification	identification	NOUN
ap-2088	70	16	with	with	ADP
ap-2088	70	17	those	those	PRON
ap-2088	70	18	of	of	ADP
ap-2088	70	19	hamiltonian	hamiltonian	ADJ
ap-2088	70	20	mechanics	mechanic	NOUN
ap-2088	70	21	is	be	AUX
ap-2088	70	22	an	an	DET
ap-2088	70	23	accident	accident	NOUN
ap-2088	70	24	and	and	CCONJ
ap-2088	70	25	one	one	PRON
ap-2088	70	26	should	should	AUX
ap-2088	70	27	read	read	VERB
ap-2088	70	28	dirac	dirac	NOUN
ap-2088	70	29	’s	’s	PART
ap-2088	70	30	book	book	NOUN
ap-2088	70	31	carefully	carefully	ADV
ap-2088	70	32	.	.	PUNCT
ap-2088	71	1	3	3	X
ap-2088	71	2	.	.	X
ap-2088	71	3	conclusion	conclusion	NOUN
ap-2088	71	4	this	this	DET
ap-2088	71	5	simple	simple	ADJ
ap-2088	71	6	example	example	NOUN
ap-2088	71	7	already	already	ADV
ap-2088	71	8	shows	show	VERB
ap-2088	71	9	that	that	SCONJ
ap-2088	71	10	there	there	PRON
ap-2088	71	11	is	be	VERB
ap-2088	71	12	the	the	DET
ap-2088	71	13	potential	potential	NOUN
ap-2088	71	14	for	for	ADP
ap-2088	71	15	ambiguity	ambiguity	NOUN
ap-2088	71	16	in	in	ADP
ap-2088	71	17	the	the	DET
ap-2088	71	18	interpretation	interpretation	NOUN
ap-2088	71	19	of	of	ADP
ap-2088	71	20	the	the	DET
ap-2088	71	21	properties	property	NOUN
ap-2088	71	22	of	of	ADP
ap-2088	71	23	a	a	DET
ap-2088	71	24	classical	classical	ADJ
ap-2088	71	25	hamiltonians	hamiltonian	NOUN
ap-2088	71	26	,	,	PUNCT
ap-2088	71	27	in	in	ADP
ap-2088	71	28	this	this	DET
ap-2088	71	29	case	case	NOUN
ap-2088	71	30	that	that	SCONJ
ap-2088	71	31	of	of	ADP
ap-2088	71	32	the	the	DET
ap-2088	71	33	simple	simple	ADJ
ap-2088	71	34	harmonic	harmonic	ADJ
ap-2088	71	35	oscillator	oscillator	NOUN
ap-2088	71	36	.	.	PUNCT
ap-2088	72	1	a	a	DET
ap-2088	72	2	critical	critical	ADJ
ap-2088	72	3	aspect	aspect	NOUN
ap-2088	72	4	is	be	AUX
ap-2088	72	5	the	the	DET
ap-2088	72	6	interpretation	interpretation	NOUN
ap-2088	72	7	of	of	ADP
ap-2088	72	8	how	how	SCONJ
ap-2088	72	9	one	one	PRON
ap-2088	72	10	should	should	AUX
ap-2088	72	11	progress	progress	VERB
ap-2088	72	12	from	from	ADP
ap-2088	72	13	classical	classical	ADJ
ap-2088	72	14	mechanics	mechanic	NOUN
ap-2088	72	15	to	to	ADP
ap-2088	72	16	quantummechanics	quantummechanic	NOUN
ap-2088	72	17	.	.	PUNCT
ap-2088	73	1	in	in	ADP
ap-2088	73	2	the	the	DET
ap-2088	73	3	approach	approach	NOUN
ap-2088	73	4	adopted	adopt	VERB
ap-2088	73	5	by	by	ADP
ap-2088	73	6	dirac	dirac	NOUN
ap-2088	73	7	the	the	DET
ap-2088	73	8	hamiltonian	hamiltonian	NOUN
ap-2088	73	9	corresponding	correspond	VERB
ap-2088	73	10	to	to	ADP
ap-2088	73	11	the	the	DET
ap-2088	73	12	‘	'	PUNCT
ap-2088	73	13	standard	standard	ADJ
ap-2088	73	14	’	'	PUNCT
ap-2088	73	15	lagrangian	lagrangian	ADJ
ap-2088	73	16	,	,	PUNCT
ap-2088	73	17	ie	ie	ADP
ap-2088	73	18	a	a	DET
ap-2088	73	19	lagrangian	lagrangian	NOUN
ap-2088	73	20	of	of	ADP
ap-2088	73	21	the	the	DET
ap-2088	73	22	form	form	NOUN
ap-2088	73	23	l	l	NOUN
ap-2088	73	24	=	=	SYM
ap-2088	73	25	t	t	NOUN
ap-2088	73	26	−v	−v	NOUN
ap-2088	73	27	in	in	ADP
ap-2088	73	28	the	the	DET
ap-2088	73	29	case	case	NOUN
ap-2088	73	30	of	of	ADP
ap-2088	73	31	simple	simple	ADJ
ap-2088	73	32	systems	system	NOUN
ap-2088	73	33	was	be	AUX
ap-2088	73	34	used	use	VERB
ap-2088	73	35	to	to	PART
ap-2088	73	36	construct	construct	VERB
ap-2088	73	37	an	an	DET
ap-2088	73	38	operator	operator	NOUN
ap-2088	73	39	which	which	PRON
ap-2088	73	40	fitted	fit	VERB
ap-2088	73	41	into	into	ADP
ap-2088	73	42	the	the	DET
ap-2088	73	43	expectation	expectation	NOUN
ap-2088	73	44	for	for	ADP
ap-2088	73	45	the	the	DET
ap-2088	73	46	corresponding	corresponding	ADJ
ap-2088	73	47	quantum	quantum	ADJ
ap-2088	73	48	mechanical	mechanical	ADJ
ap-2088	73	49	system	system	NOUN
ap-2088	73	50	.	.	PUNCT
ap-2088	74	1	if	if	SCONJ
ap-2088	74	2	one	one	NUM
ap-2088	74	3	views	view	VERB
ap-2088	74	4	the	the	DET
ap-2088	74	5	newtonian	newtonian	ADJ
ap-2088	74	6	equation	equation	NOUN
ap-2088	74	7	of	of	ADP
ap-2088	74	8	motion	motion	NOUN
ap-2088	74	9	,	,	PUNCT
ap-2088	74	10	(	(	PUNCT
ap-2088	74	11	1	1	NUM
ap-2088	74	12	)	)	PUNCT
ap-2088	74	13	,	,	PUNCT
ap-2088	74	14	as	as	ADP
ap-2088	74	15	the	the	DET
ap-2088	74	16	fundamental	fundamental	ADJ
ap-2088	74	17	source	source	NOUN
ap-2088	74	18	of	of	ADP
ap-2088	74	19	the	the	DET
ap-2088	74	20	problem	problem	NOUN
ap-2088	74	21	,	,	PUNCT
ap-2088	74	22	that	that	DET
ap-2088	74	23	equation	equation	NOUN
ap-2088	74	24	has	have	VERB
ap-2088	74	25	eight	eight	NUM
ap-2088	74	26	lie	lie	NOUN
ap-2088	74	27	point	point	NOUN
ap-2088	74	28	symmetries	symmetry	NOUN
ap-2088	74	29	.	.	PUNCT
ap-2088	75	1	without	without	ADP
ap-2088	75	2	going	go	VERB
ap-2088	75	3	into	into	ADP
ap-2088	75	4	anything	anything	PRON
ap-2088	75	5	fanciful	fanciful	ADJ
ap-2088	75	6	one	one	PRON
ap-2088	75	7	can	can	AUX
ap-2088	75	8	construct	construct	VERB
ap-2088	75	9	a	a	DET
ap-2088	75	10	large	large	ADJ
ap-2088	75	11	number	number	NOUN
ap-2088	75	12	of	of	ADP
ap-2088	75	13	lagrangians	lagrangian	NOUN
ap-2088	75	14	using	use	VERB
ap-2088	75	15	these	these	DET
ap-2088	75	16	symmetries	symmetry	NOUN
ap-2088	75	17	,	,	PUNCT
ap-2088	75	18	two	two	NUM
ap-2088	75	19	at	at	ADP
ap-2088	75	20	a	a	DET
ap-2088	75	21	time	time	NOUN
ap-2088	75	22	,	,	PUNCT
ap-2088	75	23	with	with	ADP
ap-2088	75	24	the	the	DET
ap-2088	75	25	vector	vector	NOUN
ap-2088	75	26	field	field	NOUN
ap-2088	75	27	of	of	ADP
ap-2088	75	28	the	the	DET
ap-2088	75	29	equation	equation	NOUN
ap-2088	75	30	of	of	ADP
ap-2088	75	31	motion	motion	NOUN
ap-2088	75	32	to	to	PART
ap-2088	75	33	determine	determine	VERB
ap-2088	75	34	jacobi	jacobi	PROPN
ap-2088	75	35	last	last	ADJ
ap-2088	75	36	multipliers	multiplier	NOUN
ap-2088	75	37	and	and	CCONJ
ap-2088	75	38	the	the	DET
ap-2088	75	39	relationship	relationship	NOUN
ap-2088	75	40	,	,	PUNCT
ap-2088	76	1	∂2l	∂2l	NOUN
ap-2088	76	2	∂ẋ2	∂ẋ2	PROPN
ap-2088	76	3	=	=	PUNCT
ap-2088	76	4	m	m	PROPN
ap-2088	76	5	,	,	PUNCT
ap-2088	76	6	where	where	SCONJ
ap-2088	76	7	m	m	NOUN
ap-2088	76	8	is	be	AUX
ap-2088	76	9	a	a	DET
ap-2088	76	10	last	last	ADJ
ap-2088	76	11	multiplier	multiplier	NOUN
ap-2088	76	12	,	,	PUNCT
ap-2088	76	13	to	to	PART
ap-2088	76	14	calculate	calculate	VERB
ap-2088	76	15	a	a	DET
ap-2088	76	16	whole	whole	ADJ
ap-2088	76	17	pile	pile	NOUN
ap-2088	76	18	of	of	ADP
ap-2088	76	19	lagrangians	lagrangian	NOUN
ap-2088	76	20	for	for	ADP
ap-2088	76	21	the	the	DET
ap-2088	76	22	single	single	ADJ
ap-2088	76	23	newtonian	newtonian	ADJ
ap-2088	76	24	equation	equation	NOUN
ap-2088	76	25	,	,	PUNCT
ap-2088	76	26	(	(	PUNCT
ap-2088	76	27	1	1	NUM
ap-2088	76	28	)	)	PUNCT
ap-2088	76	29	.	.	PUNCT
ap-2088	77	1	one	one	PRON
ap-2088	77	2	can	can	AUX
ap-2088	77	3	then	then	ADV
ap-2088	77	4	apply	apply	VERB
ap-2088	77	5	noether	noether	PROPN
ap-2088	77	6	’s	’s	PART
ap-2088	77	7	theorem	theorem	NOUN
ap-2088	77	8	to	to	ADP
ap-2088	77	9	each	each	PRON
ap-2088	77	10	of	of	ADP
ap-2088	77	11	these	these	DET
ap-2088	77	12	lagrangians	lagrangian	NOUN
ap-2088	77	13	in	in	ADP
ap-2088	77	14	turn	turn	NOUN
ap-2088	77	15	to	to	PART
ap-2088	77	16	determine	determine	VERB
ap-2088	77	17	the	the	DET
ap-2088	77	18	noether	noether	ADJ
ap-2088	77	19	symmetries	symmetry	NOUN
ap-2088	77	20	.	.	PUNCT
ap-2088	78	1	these	these	PRON
ap-2088	78	2	vary	vary	VERB
ap-2088	78	3	in	in	ADP
ap-2088	78	4	number	number	NOUN
ap-2088	78	5	up	up	ADP
ap-2088	78	6	to	to	ADP
ap-2088	78	7	a	a	DET
ap-2088	78	8	maximum	maximum	NOUN
ap-2088	78	9	of	of	ADP
ap-2088	78	10	five	five	NUM
ap-2088	78	11	.	.	PUNCT
ap-2088	79	1	there	there	PRON
ap-2088	79	2	are	be	VERB
ap-2088	79	3	three	three	NUM
ap-2088	79	4	such	such	ADJ
ap-2088	79	5	lagrangians	lagrangian	NOUN
ap-2088	80	1	[	[	X
ap-2088	80	2	7	7	NUM
ap-2088	80	3	]	]	PUNCT
ap-2088	80	4	,	,	PUNCT
ap-2088	80	5	the	the	DET
ap-2088	80	6	l1	l1	PROPN
ap-2088	80	7	,	,	PUNCT
ap-2088	80	8	l2	l2	NOUN
ap-2088	80	9	and	and	CCONJ
ap-2088	80	10	l3	l3	NOUN
ap-2088	80	11	listed	list	VERB
ap-2088	80	12	above	above	ADV
ap-2088	80	13	.	.	PUNCT
ap-2088	81	1	the	the	DET
ap-2088	81	2	first	first	ADJ
ap-2088	81	3	,	,	PUNCT
ap-2088	81	4	l1	l1	PROPN
ap-2088	81	5	,	,	PUNCT
ap-2088	81	6	is	be	AUX
ap-2088	81	7	the	the	DET
ap-2088	81	8	one	one	NUM
ap-2088	81	9	which	which	PRON
ap-2088	81	10	is	be	AUX
ap-2088	81	11	usually	usually	ADV
ap-2088	81	12	used	use	VERB
ap-2088	81	13	to	to	PART
ap-2088	81	14	construct	construct	VERB
ap-2088	81	15	the	the	DET
ap-2088	81	16	hamiltonian	hamiltonian	NOUN
ap-2088	81	17	for	for	ADP
ap-2088	81	18	the	the	DET
ap-2088	81	19	simple	simple	ADJ
ap-2088	81	20	harmonic	harmonic	ADJ
ap-2088	81	21	oscillator	oscillator	NOUN
ap-2088	81	22	and	and	CCONJ
ap-2088	81	23	hence	hence	ADV
ap-2088	81	24	a	a	DET
ap-2088	81	25	schrödinger	schrödinger	ADJ
ap-2088	81	26	equation	equation	NOUN
ap-2088	81	27	.	.	PUNCT
ap-2088	82	1	why	why	SCONJ
ap-2088	82	2	is	be	AUX
ap-2088	82	3	it	it	PRON
ap-2088	82	4	that	that	SCONJ
ap-2088	82	5	this	this	DET
ap-2088	82	6	lagrangian	lagrangian	NOUN
ap-2088	82	7	should	should	AUX
ap-2088	82	8	be	be	AUX
ap-2088	82	9	chosen	choose	VERB
ap-2088	82	10	when	when	SCONJ
ap-2088	82	11	there	there	PRON
ap-2088	82	12	are	be	VERB
ap-2088	82	13	two	two	NUM
ap-2088	82	14	other	other	ADJ
ap-2088	82	15	lagrangians	lagrangian	NOUN
ap-2088	82	16	equally	equally	ADV
ap-2088	82	17	well	well	ADV
ap-2088	82	18	endowed	endowed	ADJ
ap-2088	82	19	with	with	ADP
ap-2088	82	20	noether	noether	ADJ
ap-2088	82	21	symmetries	symmetry	NOUN
ap-2088	82	22	?	?	PUNCT
ap-2088	83	1	128	128	NUM
ap-2088	83	2	vol	vol	NOUN
ap-2088	83	3	.	.	PUNCT
ap-2088	84	1	54	54	NUM
ap-2088	84	2	no	no	NOUN
ap-2088	84	3	.	.	PUNCT
ap-2088	85	1	2/2014	2/2014	NUM
ap-2088	85	2	dirac	dirac	NOUN
ap-2088	85	3	and	and	CCONJ
ap-2088	85	4	hamilton	hamilton	PROPN
ap-2088	85	5	one	one	NUM
ap-2088	85	6	can	can	AUX
ap-2088	85	7	reasonably	reasonably	ADV
ap-2088	85	8	claim	claim	VERB
ap-2088	85	9	that	that	SCONJ
ap-2088	85	10	this	this	DET
ap-2088	85	11	choice	choice	NOUN
ap-2088	85	12	leads	lead	VERB
ap-2088	85	13	to	to	ADP
ap-2088	85	14	physically	physically	ADV
ap-2088	85	15	acceptable	acceptable	ADJ
ap-2088	85	16	results	result	NOUN
ap-2088	85	17	.	.	PUNCT
ap-2088	86	1	however	however	ADV
ap-2088	86	2	,	,	PUNCT
ap-2088	86	3	this	this	PRON
ap-2088	86	4	does	do	AUX
ap-2088	86	5	not	not	PART
ap-2088	86	6	really	really	ADV
ap-2088	86	7	gel	gel	VERB
ap-2088	86	8	well	well	ADV
ap-2088	86	9	with	with	ADP
ap-2088	86	10	the	the	DET
ap-2088	86	11	idea	idea	NOUN
ap-2088	86	12	of	of	ADP
ap-2088	86	13	symmetry	symmetry	NOUN
ap-2088	86	14	and	and	CCONJ
ap-2088	86	15	operators	operator	NOUN
ap-2088	86	16	.	.	PUNCT
ap-2088	87	1	consequently	consequently	ADV
ap-2088	87	2	one	one	PRON
ap-2088	87	3	must	must	AUX
ap-2088	87	4	argue	argue	VERB
ap-2088	87	5	that	that	SCONJ
ap-2088	87	6	the	the	DET
ap-2088	87	7	choice	choice	NOUN
ap-2088	87	8	of	of	ADP
ap-2088	87	9	lagrangian	lagrangian	ADJ
ap-2088	87	10	,	,	PUNCT
ap-2088	87	11	hence	hence	ADV
ap-2088	87	12	hamiltonian	hamiltonian	ADJ
ap-2088	87	13	and	and	CCONJ
ap-2088	87	14	corresponding	correspond	VERB
ap-2088	87	15	operators	operator	NOUN
ap-2088	87	16	for	for	ADP
ap-2088	87	17	quantum	quantum	ADJ
ap-2088	87	18	mechanics	mechanic	NOUN
ap-2088	87	19	must	must	AUX
ap-2088	87	20	be	be	AUX
ap-2088	87	21	predicated	predicate	VERB
ap-2088	87	22	on	on	ADP
ap-2088	87	23	other	other	ADJ
ap-2088	87	24	considerations	consideration	NOUN
ap-2088	87	25	.	.	PUNCT
ap-2088	88	1	in	in	ADP
ap-2088	88	2	dirac	dirac	NOUN
ap-2088	88	3	’s	’s	PART
ap-2088	88	4	book	book	NOUN
ap-2088	88	5	he	he	PRON
ap-2088	88	6	writes	write	VERB
ap-2088	88	7	of	of	ADP
ap-2088	88	8	the	the	DET
ap-2088	88	9	energy	energy	NOUN
ap-2088	88	10	being	be	AUX
ap-2088	88	11	the	the	DET
ap-2088	88	12	source	source	NOUN
ap-2088	88	13	of	of	ADP
ap-2088	88	14	the	the	DET
ap-2088	88	15	operator	operator	NOUN
ap-2088	88	16	to	to	PART
ap-2088	88	17	be	be	AUX
ap-2088	88	18	used	use	VERB
ap-2088	88	19	for	for	ADP
ap-2088	88	20	quantisation	quantisation	NOUN
ap-2088	88	21	.	.	PUNCT
ap-2088	89	1	it	it	PRON
ap-2088	89	2	is	be	AUX
ap-2088	89	3	an	an	DET
ap-2088	89	4	accident	accident	NOUN
ap-2088	89	5	that	that	SCONJ
ap-2088	89	6	in	in	ADP
ap-2088	89	7	elementary	elementary	ADJ
ap-2088	89	8	mechanics	mechanic	NOUN
ap-2088	89	9	the	the	DET
ap-2088	89	10	energy	energy	NOUN
ap-2088	89	11	is	be	AUX
ap-2088	89	12	the	the	DET
ap-2088	89	13	hamiltonian	hamiltonian	NOUN
ap-2088	89	14	in	in	ADP
ap-2088	89	15	the	the	DET
ap-2088	89	16	usual	usual	ADJ
ap-2088	89	17	meaning	meaning	NOUN
ap-2088	89	18	of	of	ADP
ap-2088	89	19	the	the	DET
ap-2088	89	20	word	word	NOUN
ap-2088	89	21	.	.	PUNCT
ap-2088	90	1	that	that	SCONJ
ap-2088	90	2	the	the	DET
ap-2088	90	3	operators	operator	NOUN
ap-2088	90	4	required	require	VERB
ap-2088	90	5	for	for	ADP
ap-2088	90	6	dirac	dirac	NOUN
ap-2088	90	7	’s	’s	PART
ap-2088	90	8	quantum	quantum	NOUN
ap-2088	90	9	mechanics	mechanic	NOUN
ap-2088	90	10	had	have	AUX
ap-2088	90	11	essentially	essentially	ADV
ap-2088	90	12	the	the	DET
ap-2088	90	13	same	same	ADJ
ap-2088	90	14	properties	property	NOUN
ap-2088	90	15	as	as	ADP
ap-2088	90	16	the	the	DET
ap-2088	90	17	canonically	canonically	ADV
ap-2088	90	18	conjugate	conjugate	ADJ
ap-2088	90	19	variables	variable	NOUN
ap-2088	90	20	of	of	ADP
ap-2088	90	21	classical	classical	ADJ
ap-2088	90	22	hamiltonian	hamiltonian	ADJ
ap-2088	90	23	mechanics	mechanic	NOUN
ap-2088	90	24	is	be	AUX
ap-2088	90	25	perhaps	perhaps	ADV
ap-2088	90	26	a	a	DET
ap-2088	90	27	cause	cause	NOUN
ap-2088	90	28	for	for	ADP
ap-2088	90	29	jumping	jump	VERB
ap-2088	90	30	on	on	ADP
ap-2088	90	31	a	a	DET
ap-2088	90	32	bandwagon	bandwagon	NOUN
ap-2088	90	33	without	without	ADP
ap-2088	90	34	checking	check	VERB
ap-2088	90	35	to	to	PART
ap-2088	90	36	see	see	VERB
ap-2088	90	37	if	if	SCONJ
ap-2088	90	38	the	the	DET
ap-2088	90	39	horses	horse	NOUN
ap-2088	90	40	had	have	AUX
ap-2088	90	41	been	be	AUX
ap-2088	90	42	harnessed	harness	VERB
ap-2088	90	43	.	.	PUNCT
ap-2088	91	1	acknowledgements	acknowledgement	NOUN
ap-2088	91	2	this	this	DET
ap-2088	91	3	paper	paper	NOUN
ap-2088	91	4	was	be	AUX
ap-2088	91	5	prepared	prepare	VERB
ap-2088	91	6	while	while	SCONJ
ap-2088	91	7	pgll	pgll	NOUN
ap-2088	91	8	was	be	AUX
ap-2088	91	9	enjoying	enjoy	VERB
ap-2088	91	10	the	the	DET
ap-2088	91	11	hospitality	hospitality	NOUN
ap-2088	91	12	of	of	ADP
ap-2088	91	13	professor	professor	NOUN
ap-2088	91	14	christodoulos	christodoulo	VERB
ap-2088	91	15	sophocleous	sophocleous	ADJ
ap-2088	91	16	and	and	CCONJ
ap-2088	91	17	the	the	DET
ap-2088	91	18	department	department	NOUN
ap-2088	91	19	of	of	ADP
ap-2088	91	20	mathematics	mathematics	PROPN
ap-2088	91	21	and	and	CCONJ
ap-2088	91	22	statistics	statistic	NOUN
ap-2088	91	23	,	,	PUNCT
ap-2088	91	24	university	university	PROPN
ap-2088	91	25	of	of	ADP
ap-2088	91	26	cyprus	cyprus	PROPN
ap-2088	91	27	.	.	PUNCT
ap-2088	92	1	the	the	DET
ap-2088	92	2	continuing	continue	VERB
ap-2088	92	3	support	support	NOUN
ap-2088	92	4	of	of	ADP
ap-2088	92	5	the	the	DET
ap-2088	92	6	university	university	NOUN
ap-2088	92	7	of	of	ADP
ap-2088	92	8	kwazulu	kwazulu	PROPN
ap-2088	92	9	-	-	PUNCT
ap-2088	92	10	natal	natal	NOUN
ap-2088	92	11	and	and	CCONJ
ap-2088	92	12	the	the	DET
ap-2088	92	13	national	national	PROPN
ap-2088	92	14	research	research	PROPN
ap-2088	92	15	foundation	foundation	PROPN
ap-2088	92	16	of	of	ADP
ap-2088	92	17	south	south	PROPN
ap-2088	92	18	africa	africa	PROPN
ap-2088	92	19	is	be	AUX
ap-2088	92	20	gratefully	gratefully	ADV
ap-2088	92	21	acknowledged	acknowledge	VERB
ap-2088	92	22	.	.	PUNCT
ap-2088	93	1	any	any	DET
ap-2088	93	2	opinions	opinion	NOUN
ap-2088	93	3	expressed	express	VERB
ap-2088	93	4	in	in	ADP
ap-2088	93	5	this	this	DET
ap-2088	93	6	talk	talk	NOUN
ap-2088	93	7	should	should	AUX
ap-2088	93	8	not	not	PART
ap-2088	93	9	be	be	AUX
ap-2088	93	10	construed	construe	VERB
ap-2088	93	11	as	as	ADP
ap-2088	93	12	being	be	AUX
ap-2088	93	13	those	those	PRON
ap-2088	93	14	of	of	ADP
ap-2088	93	15	the	the	DET
ap-2088	93	16	latter	latter	ADJ
ap-2088	93	17	two	two	NUM
ap-2088	93	18	institutions	institution	NOUN
ap-2088	93	19	.	.	PUNCT
ap-2088	94	1	references	reference	NOUN
ap-2088	94	2	[	[	X
ap-2088	94	3	1	1	NUM
ap-2088	94	4	]	]	PUNCT
ap-2088	94	5	p.	p.	NOUN
ap-2088	94	6	dirac	dirac	NOUN
ap-2088	94	7	.	.	PUNCT
ap-2088	95	1	the	the	DET
ap-2088	95	2	principles	principle	NOUN
ap-2088	95	3	of	of	ADP
ap-2088	95	4	quantum	quantum	ADJ
ap-2088	95	5	mechancis	mechancis	NOUN
ap-2088	95	6	.	.	PUNCT
ap-2088	96	1	first	first	PROPN
ap-2088	96	2	edition	edition	PROPN
ap-2088	96	3	.	.	PUNCT
ap-2088	97	1	cambridge	cambridge	PROPN
ap-2088	97	2	,	,	PUNCT
ap-2088	97	3	at	at	ADP
ap-2088	97	4	the	the	DET
ap-2088	97	5	clarendon	clarendon	PROPN
ap-2088	97	6	press	press	NOUN
ap-2088	97	7	,	,	PUNCT
ap-2088	97	8	1932	1932	NUM
ap-2088	97	9	.	.	PUNCT
ap-2088	98	1	[	[	X
ap-2088	98	2	2	2	X
ap-2088	98	3	]	]	PUNCT
ap-2088	98	4	e.	e.	PROPN
ap-2088	98	5	whittaker	whittaker	PROPN
ap-2088	98	6	.	.	PUNCT
ap-2088	99	1	a	a	DET
ap-2088	99	2	treatise	treatise	NOUN
ap-2088	99	3	on	on	ADP
ap-2088	99	4	the	the	DET
ap-2088	99	5	analytical	analytical	ADJ
ap-2088	99	6	dynamics	dynamic	NOUN
ap-2088	99	7	of	of	ADP
ap-2088	99	8	particles	particle	NOUN
ap-2088	99	9	and	and	CCONJ
ap-2088	99	10	rigid	rigid	ADJ
ap-2088	99	11	bodies	body	NOUN
ap-2088	99	12	.	.	PUNCT
ap-2088	100	1	fourth	fourth	PROPN
ap-2088	100	2	edition	edition	NOUN
ap-2088	100	3	,	,	PUNCT
ap-2088	100	4	first	first	ADJ
ap-2088	100	5	american	american	ADJ
ap-2088	100	6	printing	printing	NOUN
ap-2088	100	7	.	.	PUNCT
ap-2088	101	1	dover	dover	PROPN
ap-2088	101	2	,	,	PUNCT
ap-2088	101	3	new	new	PROPN
ap-2088	101	4	york	york	PROPN
ap-2088	101	5	,	,	PUNCT
ap-2088	101	6	1944	1944	NUM
ap-2088	101	7	.	.	PUNCT
ap-2088	102	1	[	[	X
ap-2088	102	2	3	3	NUM
ap-2088	102	3	]	]	X
ap-2088	102	4	i.	i.	PROPN
ap-2088	102	5	newton	newton	PROPN
ap-2088	102	6	.	.	PUNCT
ap-2088	103	1	principia	principia	PROPN
ap-2088	103	2	.	.	PROPN
ap-2088	103	3	fourth	fourth	PROPN
ap-2088	103	4	edition	edition	PROPN
ap-2088	103	5	,	,	PUNCT
ap-2088	103	6	second	second	ADJ
ap-2088	103	7	printing	printing	NOUN
ap-2088	103	8	.	.	PUNCT
ap-2088	104	1	editor	editor	NOUN
ap-2088	104	2	:	:	PUNCT
ap-2088	104	3	cajori	cajori	PROPN
ap-2088	104	4	f	f	PROPN
ap-2088	104	5	,	,	PUNCT
ap-2088	104	6	university	university	PROPN
ap-2088	104	7	of	of	ADP
ap-2088	104	8	california	california	PROPN
ap-2088	104	9	press	press	PROPN
ap-2088	104	10	,	,	PUNCT
ap-2088	104	11	berkeley	berkeley	PROPN
ap-2088	104	12	,	,	PUNCT
ap-2088	104	13	voll	voll	PROPN
ap-2088	104	14	i	i	PROPN
ap-2088	104	15	&	&	CCONJ
ap-2088	104	16	ii	ii	PROPN
ap-2088	104	17	(	(	PUNCT
ap-2088	104	18	translation	translation	NOUN
ap-2088	104	19	by	by	ADP
ap-2088	104	20	motte	motte	PROPN
ap-2088	104	21	a	a	PROPN
ap-2088	104	22	)	)	PUNCT
ap-2088	104	23	,	,	PUNCT
ap-2088	104	24	1962	1962	NUM
ap-2088	104	25	.	.	PUNCT
ap-2088	105	1	[	[	X
ap-2088	105	2	4	4	NUM
ap-2088	105	3	]	]	X
ap-2088	105	4	n.	n.	NOUN
ap-2088	105	5	m.	m.	NOUN
ap-2088	105	6	.	.	PUNCT
ap-2088	106	1	l.	l.	PROPN
ap-2088	106	2	pgl	pgl	PROPN
ap-2088	106	3	.	.	PUNCT
ap-2088	107	1	lagrangians	lagrangians	PROPN
ap-2088	107	2	galore	galore	NOUN
ap-2088	107	3	.	.	PUNCT
ap-2088	108	1	journal	journal	PROPN
ap-2088	108	2	of	of	ADP
ap-2088	108	3	mathematical	mathematical	ADJ
ap-2088	108	4	physics	physics	PROPN
ap-2088	108	5	48(123510):1–16	48(123510):1–16	PROPN
ap-2088	108	6	,	,	PUNCT
ap-2088	108	7	2007	2007	NUM
ap-2088	108	8	.	.	PUNCT
ap-2088	109	1	[	[	X
ap-2088	109	2	5	5	NUM
ap-2088	109	3	]	]	X
ap-2088	109	4	n.	n.	NOUN
ap-2088	109	5	m.	m.	NOUN
ap-2088	109	6	.	.	PUNCT
ap-2088	110	1	l.	l.	PROPN
ap-2088	110	2	pgl	pgl	PROPN
ap-2088	110	3	.	.	PUNCT
ap-2088	111	1	classical	classical	ADJ
ap-2088	111	2	integrals	integral	NOUN
ap-2088	111	3	as	as	ADP
ap-2088	111	4	quantum	quantum	NOUN
ap-2088	111	5	mechanical	mechanical	ADJ
ap-2088	111	6	differential	differential	NOUN
ap-2088	111	7	operators	operator	NOUN
ap-2088	111	8	:	:	PUNCT
ap-2088	111	9	a	a	DET
ap-2088	111	10	comparison	comparison	NOUN
ap-2088	111	11	with	with	ADP
ap-2088	111	12	the	the	DET
ap-2088	111	13	symmetries	symmetry	NOUN
ap-2088	111	14	of	of	ADP
ap-2088	111	15	the	the	DET
ap-2088	111	16	schrödinger	schrödinger	ADJ
ap-2088	111	17	equation	equation	NOUN
ap-2088	111	18	.	.	PUNCT
ap-2088	112	1	in	in	ADP
ap-2088	112	2	preparation	preparation	NOUN
ap-2088	112	3	.	.	PUNCT
ap-2088	113	1	[	[	X
ap-2088	113	2	6	6	NUM
ap-2088	113	3	]	]	X
ap-2088	113	4	n.	n.	NOUN
ap-2088	113	5	m.	m.	NOUN
ap-2088	113	6	.	.	PUNCT
ap-2088	114	1	l.	l.	PROPN
ap-2088	114	2	pgl	pgl	PROPN
ap-2088	114	3	.	.	PUNCT
ap-2088	115	1	lagrangians	lagrangians	PROPN
ap-2088	115	2	of	of	ADP
ap-2088	115	3	the	the	DET
ap-2088	115	4	free	free	ADJ
ap-2088	115	5	particle	particle	NOUN
ap-2088	115	6	and	and	CCONJ
ap-2088	115	7	the	the	DET
ap-2088	115	8	simple	simple	ADJ
ap-2088	115	9	harmonic	harmonic	ADJ
ap-2088	115	10	oscillator	oscillator	NOUN
ap-2088	115	11	of	of	ADP
ap-2088	115	12	maximal	maximal	ADJ
ap-2088	115	13	noether	noether	ADJ
ap-2088	115	14	point	point	NOUN
ap-2088	115	15	symmetry	symmetry	NOUN
ap-2088	115	16	and	and	CCONJ
ap-2088	115	17	their	their	PRON
ap-2088	115	18	corresponding	corresponding	ADJ
ap-2088	115	19	evolution	evolution	NOUN
ap-2088	115	20	equations	equation	NOUN
ap-2088	115	21	of	of	ADP
ap-2088	115	22	schrödinger	schrödinger	ADJ
ap-2088	115	23	type	type	NOUN
ap-2088	115	24	.	.	PUNCT
ap-2088	116	1	in	in	ADP
ap-2088	116	2	preparation	preparation	NOUN
ap-2088	116	3	.	.	PUNCT
ap-2088	117	1	[	[	X
ap-2088	117	2	7	7	X
ap-2088	117	3	]	]	X
ap-2088	117	4	p.	p.	NOUN
ap-2088	117	5	winternitz	winternitz	PROPN
ap-2088	117	6	.	.	PUNCT
ap-2088	118	1	subalgebras	subalgebras	PROPN
ap-2088	118	2	of	of	ADP
ap-2088	118	3	lie	lie	NOUN
ap-2088	118	4	algebras	algebras	PROPN
ap-2088	118	5	.	.	PUNCT
ap-2088	119	1	example	example	NOUN
ap-2088	119	2	of	of	ADP
ap-2088	119	3	sl(3	sl(3	PROPN
ap-2088	119	4	,	,	PUNCT
ap-2088	119	5	r	r	NOUN
ap-2088	119	6	)	)	PUNCT
ap-2088	119	7	.	.	PUNCT
ap-2088	120	1	centre	centre	PROPN
ap-2088	120	2	de	de	X
ap-2088	120	3	recherches	recherches	PROPN
ap-2088	120	4	mathématiques	mathématiques	PROPN
ap-2088	120	5	crm	crm	PROPN
ap-2088	120	6	proceedings	proceeding	NOUN
ap-2088	120	7	and	and	CCONJ
ap-2088	120	8	lecture	lecture	NOUN
ap-2088	120	9	notes	note	VERB
ap-2088	120	10	34:215–227	34:215–227	PROPN
ap-2088	120	11	,	,	PUNCT
ap-2088	120	12	2004	2004	NUM
ap-2088	120	13	.	.	PUNCT
ap-2088	121	1	129	129	NUM
ap-2088	121	2	acta	acta	PROPN
ap-2088	121	3	polytechnica	polytechnica	PROPN
ap-2088	121	4	54(2):127–129	54(2):127–129	PROPN
ap-2088	121	5	,	,	PUNCT
ap-2088	121	6	2014	2014	NUM
ap-2088	121	7	1	1	NUM
ap-2088	121	8	introduction	introduction	NOUN
ap-2088	121	9	2	2	NUM
ap-2088	121	10	a	a	DET
ap-2088	121	11	problem	problem	NOUN
ap-2088	121	12	3	3	NUM
ap-2088	121	13	conclusion	conclusion	NOUN
ap-2088	121	14	acknowledgements	acknowledgement	NOUN
ap-2088	121	15	references	reference	NOUN