id	sid	tid	token	lemma	pos
ap-944	1	1	ap07_2-3.vp	ap07_2-3.vp	PUNCT
ap-944	1	2	1	1	NUM
ap-944	1	3	scalar	scalar	ADJ
ap-944	1	4	products	product	NOUN
ap-944	1	5	and	and	CCONJ
ap-944	1	6	metric	metric	ADJ
ap-944	1	7	operators	operator	NOUN
ap-944	1	8	in	in	ADP
ap-944	1	9	classical	classical	ADJ
ap-944	1	10	mechanics	mechanic	NOUN
ap-944	1	11	,	,	PUNCT
ap-944	1	12	the	the	DET
ap-944	1	13	system	system	NOUN
ap-944	1	14	is	be	AUX
ap-944	1	15	described	describe	VERB
ap-944	1	16	by	by	ADP
ap-944	1	17	its	its	PRON
ap-944	1	18	coordinates	coordinate	NOUN
ap-944	1	19	in	in	ADP
ap-944	1	20	n	n	CCONJ
ap-944	1	21	-	-	PUNCT
ap-944	1	22	dimensional	dimensional	ADJ
ap-944	1	23	phase	phase	NOUN
ap-944	1	24	(	(	PUNCT
ap-944	1	25	configuration	configuration	NOUN
ap-944	1	26	)	)	PUNCT
ap-944	1	27	space	space	NOUN
ap-944	1	28	.	.	PUNCT
ap-944	2	1	the	the	DET
ap-944	2	2	unique	unique	ADJ
ap-944	2	3	trajectory	trajectory	NOUN
ap-944	2	4	is	be	AUX
ap-944	2	5	a	a	DET
ap-944	2	6	solution	solution	NOUN
ap-944	2	7	of	of	ADP
ap-944	2	8	canonical	canonical	ADJ
ap-944	2	9	hamiltonian	hamiltonian	NOUN
ap-944	2	10	or	or	CCONJ
ap-944	2	11	euler	euler	NOUN
ap-944	2	12	-	-	PUNCT
ap-944	2	13	lagrange	lagrange	NOUN
ap-944	2	14	equations	equation	NOUN
ap-944	2	15	and	and	CCONJ
ap-944	2	16	satisfies	satisfie	NOUN
ap-944	2	17	fixed	fix	VERB
ap-944	2	18	initial	initial	ADJ
ap-944	2	19	conditions	condition	NOUN
ap-944	2	20	.	.	PUNCT
ap-944	3	1	the	the	DET
ap-944	3	2	observable	observable	ADJ
ap-944	3	3	quantities	quantity	NOUN
ap-944	3	4	(	(	PUNCT
ap-944	3	5	energy	energy	NOUN
ap-944	3	6	,	,	PUNCT
ap-944	3	7	angular	angular	ADJ
ap-944	3	8	momentum	momentum	NOUN
ap-944	3	9	,	,	PUNCT
ap-944	3	10	…	…	PUNCT
ap-944	3	11	)	)	PUNCT
ap-944	3	12	of	of	ADP
ap-944	3	13	the	the	DET
ap-944	3	14	systems	system	NOUN
ap-944	3	15	are	be	AUX
ap-944	3	16	represented	represent	VERB
ap-944	3	17	by	by	ADP
ap-944	3	18	a	a	DET
ap-944	3	19	function	function	NOUN
ap-944	3	20	on	on	ADP
ap-944	3	21	the	the	DET
ap-944	3	22	phase	phase	NOUN
ap-944	3	23	space	space	NOUN
ap-944	3	24	.	.	PUNCT
ap-944	4	1	the	the	DET
ap-944	4	2	description	description	NOUN
ap-944	4	3	of	of	ADP
ap-944	4	4	the	the	DET
ap-944	4	5	system	system	NOUN
ap-944	4	6	is	be	AUX
ap-944	4	7	completely	completely	ADV
ap-944	4	8	different	different	ADJ
ap-944	4	9	in	in	ADP
ap-944	4	10	quantum	quantum	ADJ
ap-944	4	11	theory	theory	NOUN
ap-944	4	12	.	.	PUNCT
ap-944	5	1	we	we	PRON
ap-944	5	2	are	be	AUX
ap-944	5	3	dealing	deal	VERB
ap-944	5	4	with	with	ADP
ap-944	5	5	a	a	DET
ap-944	5	6	infinite	infinite	ADJ
ap-944	5	7	dimensional	dimensional	ADJ
ap-944	5	8	hilbert	hilbert	NOUN
ap-944	5	9	space	space	NOUN
ap-944	5	10	in	in	ADP
ap-944	5	11	this	this	DET
ap-944	5	12	case	case	NOUN
ap-944	5	13	,	,	PUNCT
ap-944	5	14	which	which	PRON
ap-944	5	15	is	be	AUX
ap-944	5	16	a	a	DET
ap-944	5	17	vector	vector	NOUN
ap-944	5	18	space	space	NOUN
ap-944	5	19	complete	complete	ADJ
ap-944	5	20	with	with	ADP
ap-944	5	21	respect	respect	NOUN
ap-944	5	22	to	to	ADP
ap-944	5	23	the	the	DET
ap-944	5	24	norm	norm	NOUN
ap-944	5	25	induced	induce	VERB
ap-944	5	26	by	by	ADP
ap-944	5	27	the	the	DET
ap-944	5	28	associated	associated	ADJ
ap-944	5	29	scalar	scalar	ADJ
ap-944	5	30	product	product	NOUN
ap-944	5	31	.	.	PUNCT
ap-944	6	1	the	the	DET
ap-944	6	2	quantum	quantum	ADJ
ap-944	6	3	mechanical	mechanical	ADJ
ap-944	6	4	system	system	NOUN
ap-944	6	5	is	be	AUX
ap-944	6	6	represented	represent	VERB
ap-944	6	7	by	by	ADP
ap-944	6	8	a	a	DET
ap-944	6	9	vector	vector	NOUN
ap-944	6	10	in	in	ADP
ap-944	6	11	the	the	DET
ap-944	6	12	hilbert	hilbert	NOUN
ap-944	6	13	space	space	NOUN
ap-944	6	14	.	.	PUNCT
ap-944	7	1	the	the	DET
ap-944	7	2	observables	observable	NOUN
ap-944	7	3	are	be	AUX
ap-944	7	4	represented	represent	VERB
ap-944	7	5	by	by	ADP
ap-944	7	6	the	the	DET
ap-944	7	7	operator	operator	NOUN
ap-944	7	8	acting	act	VERB
ap-944	7	9	on	on	ADP
ap-944	7	10	the	the	DET
ap-944	7	11	hilbert	hilbert	NOUN
ap-944	7	12	space	space	NOUN
ap-944	7	13	.	.	PUNCT
ap-944	8	1	by	by	ADP
ap-944	8	2	postulate	postulate	NOUN
ap-944	8	3	,	,	PUNCT
ap-944	8	4	the	the	DET
ap-944	8	5	measurable	measurable	ADJ
ap-944	8	6	quantities	quantity	NOUN
ap-944	8	7	are	be	AUX
ap-944	8	8	associated	associate	VERB
ap-944	8	9	with	with	ADP
ap-944	8	10	spectra	spectra	NOUN
ap-944	8	11	of	of	ADP
ap-944	8	12	the	the	DET
ap-944	8	13	operators	operator	NOUN
ap-944	8	14	which	which	PRON
ap-944	8	15	are	be	AUX
ap-944	8	16	required	require	VERB
ap-944	8	17	to	to	PART
ap-944	8	18	be	be	AUX
ap-944	8	19	real	real	ADJ
ap-944	8	20	.	.	PUNCT
ap-944	9	1	for	for	ADP
ap-944	9	2	this	this	DET
ap-944	9	3	reason	reason	NOUN
ap-944	9	4	,	,	PUNCT
ap-944	9	5	only	only	ADV
ap-944	9	6	self	self	NOUN
ap-944	9	7	-	-	PUNCT
ap-944	9	8	adjoint	adjoint	NOUN
ap-944	9	9	operators	operator	NOUN
ap-944	9	10	are	be	AUX
ap-944	9	11	considered	consider	VERB
ap-944	9	12	to	to	PART
ap-944	9	13	be	be	AUX
ap-944	9	14	physically	physically	ADV
ap-944	9	15	admissible	admissible	ADJ
ap-944	9	16	.	.	PUNCT
ap-944	10	1	the	the	DET
ap-944	10	2	evolution	evolution	NOUN
ap-944	10	3	equations	equation	NOUN
ap-944	10	4	of	of	ADP
ap-944	10	5	classical	classical	ADJ
ap-944	10	6	mechanics	mechanic	NOUN
ap-944	10	7	are	be	AUX
ap-944	10	8	replaced	replace	VERB
ap-944	10	9	by	by	ADP
ap-944	10	10	the	the	DET
ap-944	10	11	schrödinger	schrödinger	ADJ
ap-944	10	12	equation	equation	NOUN
ap-944	10	13	i	i	PRON
ap-944	10	14	t	t	PROPN
ap-944	10	15	h	h	NUM
ap-944	10	16	�	�	PROPN
ap-944	10	17	�	�	PROPN
ap-944	10	18	�	�	PROPN
ap-944	10	19	�	�	PROPN
ap-944	10	20	�	�	PROPN
ap-944	10	21	�	�	PROPN
ap-944	10	22	and	and	CCONJ
ap-944	10	23	the	the	DET
ap-944	10	24	initial	initial	ADJ
ap-944	10	25	conditions	condition	NOUN
ap-944	10	26	are	be	AUX
ap-944	10	27	replaced	replace	VERB
ap-944	10	28	by	by	ADP
ap-944	10	29	the	the	DET
ap-944	10	30	requirement	requirement	NOUN
ap-944	10	31	that	that	SCONJ
ap-944	10	32	�	�	PROPN
ap-944	10	33	lies	lie	VERB
ap-944	10	34	in	in	ADP
ap-944	10	35	the	the	DET
ap-944	10	36	domain	domain	NOUN
ap-944	10	37	of	of	ADP
ap-944	10	38	the	the	DET
ap-944	10	39	hamiltonian	hamiltonian	NOUN
ap-944	10	40	.	.	PUNCT
ap-944	11	1	the	the	DET
ap-944	11	2	task	task	NOUN
ap-944	11	3	of	of	ADP
ap-944	11	4	solving	solve	VERB
ap-944	11	5	the	the	DET
ap-944	11	6	evolution	evolution	NOUN
ap-944	11	7	equations	equation	NOUN
ap-944	11	8	is	be	AUX
ap-944	11	9	more	more	ADV
ap-944	11	10	complicated	complicated	ADJ
ap-944	11	11	in	in	ADP
ap-944	11	12	quantum	quantum	ADJ
ap-944	11	13	mechanics	mechanic	NOUN
ap-944	11	14	.	.	PUNCT
ap-944	12	1	from	from	ADP
ap-944	12	2	the	the	DET
ap-944	12	3	mathematical	mathematical	ADJ
ap-944	12	4	point	point	NOUN
ap-944	12	5	of	of	ADP
ap-944	12	6	view	view	NOUN
ap-944	12	7	,	,	PUNCT
ap-944	12	8	we	we	PRON
ap-944	12	9	face	face	VERB
ap-944	12	10	a	a	DET
ap-944	12	11	second	second	ADJ
ap-944	12	12	order	order	NOUN
ap-944	12	13	differential	differential	ADJ
ap-944	12	14	equation	equation	NOUN
ap-944	12	15	of	of	ADP
ap-944	12	16	complex	complex	ADJ
ap-944	12	17	valued	value	VERB
ap-944	12	18	functions	function	NOUN
ap-944	12	19	.	.	PUNCT
ap-944	13	1	additionally	additionally	ADV
ap-944	13	2	,	,	PUNCT
ap-944	13	3	the	the	DET
ap-944	13	4	involved	involved	ADJ
ap-944	13	5	self	self	NOUN
ap-944	13	6	-	-	PUNCT
ap-944	13	7	adjoint	adjoint	NOUN
ap-944	13	8	hamiltonians	hamiltonian	NOUN
ap-944	13	9	are	be	AUX
ap-944	13	10	mostly	mostly	ADV
ap-944	13	11	unbounded	unbounde	VERB
ap-944	13	12	,	,	PUNCT
ap-944	13	13	which	which	PRON
ap-944	13	14	requires	require	VERB
ap-944	13	15	careful	careful	ADJ
ap-944	13	16	determination	determination	NOUN
ap-944	13	17	of	of	ADP
ap-944	13	18	their	their	PRON
ap-944	13	19	domains	domain	NOUN
ap-944	13	20	.	.	PUNCT
ap-944	14	1	the	the	DET
ap-944	14	2	scalar	scalar	ADJ
ap-944	14	3	product	product	NOUN
ap-944	14	4	plays	play	VERB
ap-944	14	5	the	the	DET
ap-944	14	6	key	key	ADJ
ap-944	14	7	role	role	NOUN
ap-944	14	8	in	in	ADP
ap-944	14	9	interpreting	interpret	VERB
ap-944	14	10	the	the	DET
ap-944	14	11	solutions	solution	NOUN
ap-944	14	12	of	of	ADP
ap-944	14	13	the	the	DET
ap-944	14	14	schrödinger	schrödinger	ADJ
ap-944	14	15	equation	equation	NOUN
ap-944	14	16	.	.	PUNCT
ap-944	15	1	the	the	DET
ap-944	15	2	quantity	quantity	NOUN
ap-944	15	3	(	(	PUNCT
ap-944	15	4	,	,	PUNCT
ap-944	15	5	)	)	PUNCT
ap-944	15	6	�	�	PROPN
ap-944	15	7	�	�	PROPN
ap-944	15	8	1	1	NUM
ap-944	15	9	2	2	NUM
ap-944	15	10	is	be	AUX
ap-944	15	11	proportional	proportional	ADJ
ap-944	15	12	to	to	ADP
ap-944	15	13	the	the	DET
ap-944	15	14	transition	transition	NOUN
ap-944	15	15	amplitude	amplitude	NOUN
ap-944	15	16	that	that	PRON
ap-944	15	17	the	the	DET
ap-944	15	18	system	system	NOUN
ap-944	15	19	in	in	ADP
ap-944	15	20	state	state	NOUN
ap-944	15	21	�	�	PROPN
ap-944	15	22	1	1	NUM
ap-944	15	23	will	will	AUX
ap-944	15	24	transform	transform	VERB
ap-944	15	25	to	to	ADP
ap-944	15	26	the	the	DET
ap-944	15	27	state	state	NOUN
ap-944	15	28	described	describe	VERB
ap-944	15	29	by	by	ADP
ap-944	15	30	the	the	DET
ap-944	15	31	vector	vector	PROPN
ap-944	15	32	�	�	PROPN
ap-944	15	33	2	2	NUM
ap-944	15	34	.	.	PUNCT
ap-944	16	1	when	when	SCONJ
ap-944	16	2	the	the	DET
ap-944	16	3	system	system	NOUN
ap-944	16	4	does	do	AUX
ap-944	16	5	not	not	PART
ap-944	16	6	depend	depend	VERB
ap-944	16	7	on	on	ADP
ap-944	16	8	time	time	NOUN
ap-944	16	9	explicitly	explicitly	ADV
ap-944	16	10	,	,	PUNCT
ap-944	16	11	the	the	DET
ap-944	16	12	measured	measure	VERB
ap-944	16	13	quantities	quantity	NOUN
ap-944	16	14	have	have	VERB
ap-944	16	15	to	to	PART
ap-944	16	16	be	be	AUX
ap-944	16	17	independent	independent	ADJ
ap-944	16	18	with	with	ADP
ap-944	16	19	respect	respect	NOUN
ap-944	16	20	to	to	ADP
ap-944	16	21	time	time	NOUN
ap-944	16	22	translations	translation	NOUN
ap-944	16	23	.	.	PUNCT
ap-944	17	1	particularly	particularly	ADV
ap-944	17	2	,	,	PUNCT
ap-944	17	3	the	the	DET
ap-944	17	4	time	time	NOUN
ap-944	17	5	evolution	evolution	NOUN
ap-944	17	6	of	of	ADP
ap-944	17	7	the	the	DET
ap-944	17	8	states	states	PROPN
ap-944	17	9	�	�	PROPN
ap-944	17	10	�	�	PROPN
ap-944	17	11	i	i	PRON
ap-944	17	12	it	it	PRON
ap-944	17	13	u	u	X
ap-944	17	14	t	t	PROPN
ap-944	17	15	(	(	PUNCT
ap-944	17	16	)	)	PUNCT
ap-944	17	17	(	(	PUNCT
ap-944	17	18	)	)	PUNCT
ap-944	17	19	(	(	PUNCT
ap-944	17	20	)	)	PUNCT
ap-944	17	21	�	�	PROPN
ap-944	17	22	0	0	NUM
ap-944	17	23	should	should	AUX
ap-944	17	24	not	not	PART
ap-944	17	25	violate	violate	VERB
ap-944	17	26	the	the	DET
ap-944	17	27	transition	transition	NOUN
ap-944	17	28	amplitude	amplitude	NOUN
ap-944	17	29	.	.	PUNCT
ap-944	18	1	in	in	ADP
ap-944	18	2	other	other	ADJ
ap-944	18	3	words	word	NOUN
ap-944	18	4	,	,	PUNCT
ap-944	18	5	there	there	PRON
ap-944	18	6	should	should	AUX
ap-944	18	7	hold	hold	VERB
ap-944	18	8	�	�	PROPN
ap-944	18	9	�	�	PROPN
ap-944	18	10	�	�	PROPN
ap-944	18	11	�	�	PROPN
ap-944	18	12	�	�	PROPN
ap-944	18	13	�	�	PROPN
ap-944	18	14	�	�	PROPN
ap-944	18	15	�	�	PROPN
ap-944	18	16	1	1	NUM
ap-944	18	17	2	2	NUM
ap-944	18	18	1	1	NUM
ap-944	18	19	20	20	NUM
ap-944	18	20	0	0	NUM
ap-944	18	21	0	0	NUM
ap-944	18	22	0	0	NUM
ap-944	18	23	(	(	PUNCT
ap-944	18	24	)	)	PUNCT
ap-944	18	25	,	,	PUNCT
ap-944	18	26	(	(	PUNCT
ap-944	18	27	)	)	PUNCT
ap-944	18	28	(	(	PUNCT
ap-944	18	29	)	)	PUNCT
ap-944	18	30	(	(	PUNCT
ap-944	18	31	)	)	PUNCT
ap-944	18	32	,	,	PUNCT
ap-944	18	33	(	(	PUNCT
ap-944	18	34	)	)	PUNCT
ap-944	18	35	(	(	PUNCT
ap-944	18	36	)	)	PUNCT
ap-944	18	37	�	�	PROPN
ap-944	18	38	u	u	PROPN
ap-944	18	39	t	t	PROPN
ap-944	18	40	u	u	NOUN
ap-944	18	41	t	t	PROPN
ap-944	18	42	.	.	PUNCT
ap-944	19	1	this	this	PRON
ap-944	19	2	implies	imply	VERB
ap-944	19	3	that	that	SCONJ
ap-944	19	4	the	the	DET
ap-944	19	5	time	time	NOUN
ap-944	19	6	evolution	evolution	NOUN
ap-944	19	7	operator	operator	NOUN
ap-944	19	8	has	have	VERB
ap-944	19	9	to	to	PART
ap-944	19	10	be	be	AUX
ap-944	19	11	unitary	unitary	ADJ
ap-944	19	12	,	,	PUNCT
ap-944	19	13	i.e.u	i.e.u	ADP
ap-944	19	14	t	t	PROPN
ap-944	19	15	u	u	X
ap-944	19	16	t†	t†	PROPN
ap-944	19	17	(	(	PUNCT
ap-944	19	18	)	)	PUNCT
ap-944	19	19	(	(	PUNCT
ap-944	19	20	)	)	PUNCT
ap-944	19	21	�	�	PROPN
ap-944	19	22	1	1	NUM
ap-944	19	23	.	.	PUNCT
ap-944	20	1	the	the	DET
ap-944	20	2	dagger	dagger	NOUN
ap-944	20	3	denotes	denote	VERB
ap-944	20	4	hermitian	hermitian	ADJ
ap-944	20	5	conjugation	conjugation	NOUN
ap-944	20	6	with	with	ADP
ap-944	20	7	respect	respect	NOUN
ap-944	20	8	to	to	ADP
ap-944	20	9	the	the	DET
ap-944	20	10	scalar	scalar	ADJ
ap-944	20	11	product	product	NOUN
ap-944	20	12	(	(	PUNCT
ap-944	20	13	.	.	PUNCT
ap-944	20	14	,	,	PUNCT
ap-944	20	15	.	.	PUNCT
ap-944	20	16	)	)	PUNCT
ap-944	21	1	,	,	PUNCT
ap-944	21	2	which	which	PRON
ap-944	21	3	is	be	AUX
ap-944	21	4	usually	usually	ADV
ap-944	21	5	taken	take	VERB
ap-944	21	6	to	to	PART
ap-944	21	7	be	be	AUX
ap-944	21	8	(	(	PUNCT
ap-944	21	9	,	,	PUNCT
ap-944	21	10	)	)	PUNCT
ap-944	21	11	*	*	PUNCT
ap-944	21	12	�	�	PROPN
ap-944	21	13	�	�	PROPN
ap-944	21	14	�	�	PROPN
ap-944	21	15	�	�	PROPN
ap-944	21	16	1	1	NUM
ap-944	21	17	2	2	NUM
ap-944	21	18	1	1	NUM
ap-944	21	19	2	2	NUM
ap-944	21	20	�	�	PROPN
ap-944	21	21	�	�	PROPN
ap-944	21	22	dqn	dqn	NOUN
ap-944	21	23	,	,	PUNCT
ap-944	21	24	(	(	PUNCT
ap-944	21	25	1	1	X
ap-944	21	26	)	)	PUNCT
ap-944	21	27	where	where	SCONJ
ap-944	21	28	*	*	PUNCT
ap-944	21	29	is	be	AUX
ap-944	21	30	complex	complex	ADJ
ap-944	21	31	conjugation	conjugation	NOUN
ap-944	21	32	.	.	PUNCT
ap-944	22	1	the	the	DET
ap-944	22	2	time	time	NOUN
ap-944	22	3	evolution	evolution	PROPN
ap-944	22	4	operators	operator	NOUN
ap-944	22	5	form	form	VERB
ap-944	22	6	a	a	DET
ap-944	22	7	one	one	NUM
ap-944	22	8	-	-	PUNCT
ap-944	22	9	parameter	parameter	NOUN
ap-944	22	10	group	group	NOUN
ap-944	22	11	,	,	PUNCT
ap-944	22	12	u	u	NOUN
ap-944	22	13	(	(	PUNCT
ap-944	22	14	)	)	PUNCT
ap-944	22	15	0	0	NUM
ap-944	22	16	1	1	NUM
ap-944	22	17	�	�	PROPN
ap-944	22	18	,	,	PUNCT
ap-944	22	19	u	u	NOUN
ap-944	22	20	t	t	PROPN
ap-944	22	21	t	t	X
ap-944	22	22	u	u	NOUN
ap-944	22	23	t	t	PROPN
ap-944	22	24	u	u	X
ap-944	22	25	t	t	PROPN
ap-944	22	26	(	(	PUNCT
ap-944	22	27	,	,	PUNCT
ap-944	22	28	)	)	PUNCT
ap-944	22	29	(	(	PUNCT
ap-944	22	30	)	)	PUNCT
ap-944	22	31	(	(	PUNCT
ap-944	22	32	)	)	SYM
ap-944	22	33	1	1	NUM
ap-944	22	34	2	2	NUM
ap-944	22	35	1	1	NUM
ap-944	22	36	2	2	NUM
ap-944	22	37	�	�	PROPN
ap-944	22	38	.	.	PUNCT
ap-944	23	1	the	the	DET
ap-944	23	2	hamiltonian	hamiltonian	NOUN
ap-944	23	3	of	of	ADP
ap-944	23	4	the	the	DET
ap-944	23	5	system	system	NOUN
ap-944	23	6	plays	play	VERB
ap-944	23	7	the	the	DET
ap-944	23	8	role	role	NOUN
ap-944	23	9	of	of	ADP
ap-944	23	10	the	the	DET
ap-944	23	11	generator	generator	NOUN
ap-944	23	12	of	of	ADP
ap-944	23	13	time	time	NOUN
ap-944	23	14	translations	translation	NOUN
ap-944	23	15	,	,	PUNCT
ap-944	23	16	we	we	PRON
ap-944	23	17	have	have	VERB
ap-944	23	18	u	u	PROPN
ap-944	23	19	t	t	PROPN
ap-944	23	20	iht	iht	NOUN
ap-944	23	21	(	(	PUNCT
ap-944	23	22	)	)	PUNCT
ap-944	23	23	exp	exp	NOUN
ap-944	23	24	(	(	PUNCT
ap-944	23	25	)	)	PUNCT
ap-944	23	26	�	�	PROPN
ap-944	23	27	�	�	PROPN
ap-944	23	28	.	.	PUNCT
ap-944	24	1	the	the	DET
ap-944	24	2	relation	relation	NOUN
ap-944	24	3	is	be	AUX
ap-944	24	4	consistent	consistent	ADJ
ap-944	24	5	with	with	ADP
ap-944	24	6	stone	stone	NOUN
ap-944	24	7	’s	’s	PART
ap-944	24	8	theorem	theorem	NOUN
ap-944	24	9	which	which	PRON
ap-944	24	10	establishes	establish	VERB
ap-944	24	11	a	a	DET
ap-944	24	12	correspondence	correspondence	NOUN
ap-944	24	13	between	between	ADP
ap-944	24	14	self	self	NOUN
ap-944	24	15	-	-	PUNCT
ap-944	24	16	adjoint	adjoint	NOUN
ap-944	24	17	operators	operator	NOUN
ap-944	24	18	and	and	CCONJ
ap-944	24	19	one	one	NUM
ap-944	24	20	-	-	PUNCT
ap-944	24	21	parameter	parameter	NOUN
ap-944	24	22	groups	group	NOUN
ap-944	24	23	of	of	ADP
ap-944	24	24	unitary	unitary	ADJ
ap-944	24	25	operators	operator	NOUN
ap-944	24	26	.	.	PUNCT
ap-944	25	1	a	a	DET
ap-944	25	2	few	few	ADJ
ap-944	25	3	years	year	NOUN
ap-944	25	4	ago	ago	ADV
ap-944	25	5	,	,	PUNCT
ap-944	25	6	we	we	PRON
ap-944	25	7	witnessed	witness	VERB
ap-944	25	8	a	a	DET
ap-944	25	9	boom	boom	NOUN
ap-944	25	10	in	in	ADP
ap-944	25	11	the	the	DET
ap-944	25	12	study	study	NOUN
ap-944	25	13	of	of	ADP
ap-944	25	14	�	�	PROPN
ap-944	25	15	�	�	PROPN
ap-944	25	16	-symmetric	-symmetric	ADJ
ap-944	25	17	hamiltonians	hamiltonian	NOUN
ap-944	25	18	[	[	X
ap-944	25	19	1–21	1–21	NOUN
ap-944	25	20	]	]	PUNCT
ap-944	25	21	.	.	PUNCT
ap-944	26	1	these	these	DET
ap-944	26	2	operators	operator	NOUN
ap-944	26	3	are	be	AUX
ap-944	26	4	specific	specific	ADJ
ap-944	26	5	by	by	ADP
ap-944	26	6	their	their	PRON
ap-944	26	7	�	�	PROPN
ap-944	26	8	�	�	PROPN
ap-944	26	9	-symmetry	-symmetry	NOUN
ap-944	26	10	,	,	PUNCT
ap-944	26	11	i.e.	i.e.	X
ap-944	26	12	[	[	PUNCT
ap-944	26	13	,	,	PUNCT
ap-944	26	14	]	]	PUNCT
ap-944	26	15	�	�	PROPN
ap-944	26	16	�	�	PROPN
ap-944	26	17	h	h	PROPN
ap-944	26	18	�	�	PROPN
ap-944	26	19	0	0	PROPN
ap-944	26	20	,	,	PUNCT
ap-944	26	21	where	where	SCONJ
ap-944	26	22	�	�	PROPN
ap-944	26	23	is	be	AUX
ap-944	26	24	space	space	NOUN
ap-944	26	25	reflection	reflection	NOUN
ap-944	26	26	and	and	CCONJ
ap-944	26	27	�	�	PROPN
ap-944	26	28	is	be	AUX
ap-944	26	29	time	time	NOUN
ap-944	26	30	reversion	reversion	NOUN
ap-944	26	31	.	.	PUNCT
ap-944	27	1	these	these	PRON
ap-944	27	2	can	can	AUX
ap-944	27	3	be	be	AUX
ap-944	27	4	covered	cover	VERB
ap-944	27	5	by	by	ADP
ap-944	27	6	a	a	DET
ap-944	27	7	broad	broad	ADJ
ap-944	27	8	class	class	NOUN
ap-944	27	9	of	of	ADP
ap-944	27	10	pseudo	pseudo	NOUN
ap-944	27	11	-	-	ADJ
ap-944	27	12	hermitian	hermitian	ADJ
ap-944	27	13	operators	operator	NOUN
ap-944	27	14	which	which	PRON
ap-944	27	15	satisfy	satisfy	VERB
ap-944	27	16	the	the	DET
ap-944	27	17	following	follow	VERB
ap-944	27	18	operator	operator	NOUN
ap-944	27	19	equation	equation	NOUN
ap-944	27	20	h	h	NOUN
ap-944	27	21	h†	h†	PROPN
ap-944	27	22	�	�	PROPN
ap-944	27	23	�	�	PROPN
ap-944	27	24	�	�	PROPN
ap-944	27	25	�	�	PROPN
ap-944	27	26	1	1	NUM
ap-944	27	27	the	the	DET
ap-944	27	28	operator	operator	NOUN
ap-944	27	29	�	�	PROPN
ap-944	27	30	is	be	AUX
ap-944	27	31	required	require	VERB
ap-944	27	32	to	to	PART
ap-944	27	33	be	be	AUX
ap-944	27	34	hermitian	hermitian	ADJ
ap-944	27	35	,	,	PUNCT
ap-944	27	36	invertible	invertible	ADJ
ap-944	27	37	and	and	CCONJ
ap-944	27	38	bounded	bound	VERB
ap-944	27	39	.	.	PUNCT
ap-944	28	1	the	the	DET
ap-944	28	2	standard	standard	ADJ
ap-944	28	3	self	self	NOUN
ap-944	28	4	-	-	PUNCT
ap-944	28	5	adjointness	adjointness	NOUN
ap-944	28	6	is	be	AUX
ap-944	28	7	a	a	DET
ap-944	28	8	special	special	ADJ
ap-944	28	9	case	case	NOUN
ap-944	28	10	of	of	ADP
ap-944	28	11	the	the	DET
ap-944	28	12	preceeding	preceeding	NOUN
ap-944	28	13	relation	relation	NOUN
ap-944	28	14	as	as	ADV
ap-944	28	15	long	long	ADV
ap-944	28	16	as	as	ADP
ap-944	28	17	�	�	PROPN
ap-944	28	18	�	�	PROPN
ap-944	28	19	1	1	NUM
ap-944	28	20	.	.	PUNCT
ap-944	29	1	it	it	PRON
ap-944	29	2	was	be	AUX
ap-944	29	3	observed	observe	VERB
ap-944	29	4	that	that	SCONJ
ap-944	29	5	these	these	DET
ap-944	29	6	operators	operator	NOUN
ap-944	29	7	possess	possess	VERB
ap-944	29	8	a	a	DET
ap-944	29	9	real	real	ADJ
ap-944	29	10	spectrum	spectrum	NOUN
ap-944	29	11	in	in	ADP
ap-944	29	12	many	many	ADJ
ap-944	29	13	cases	case	NOUN
ap-944	29	14	.	.	PUNCT
ap-944	30	1	the	the	DET
ap-944	30	2	natural	natural	ADJ
ap-944	30	3	question	question	NOUN
ap-944	30	4	emerged	emerge	VERB
ap-944	30	5	whether	whether	SCONJ
ap-944	30	6	it	it	PRON
ap-944	30	7	would	would	AUX
ap-944	30	8	be	be	AUX
ap-944	30	9	possible	possible	ADJ
ap-944	30	10	to	to	PART
ap-944	30	11	replace	replace	VERB
ap-944	30	12	the	the	DET
ap-944	30	13	standard	standard	ADJ
ap-944	30	14	requirement	requirement	NOUN
ap-944	30	15	of	of	ADP
ap-944	30	16	self	self	NOUN
ap-944	30	17	-	-	PUNCT
ap-944	30	18	adjointness	adjointness	NOUN
ap-944	30	19	by	by	ADP
ap-944	30	20	the	the	DET
ap-944	30	21	less	less	ADV
ap-944	30	22	restrictive	restrictive	ADJ
ap-944	30	23	requirement	requirement	NOUN
ap-944	30	24	of	of	ADP
ap-944	30	25	pseudo	pseudo	NOUN
ap-944	30	26	-	-	NOUN
ap-944	30	27	hermiticity	hermiticity	NOUN
ap-944	30	28	.	.	PUNCT
ap-944	31	1	the	the	DET
ap-944	31	2	answer	answer	NOUN
ap-944	31	3	showed	show	VERB
ap-944	31	4	to	to	PART
ap-944	31	5	be	be	AUX
ap-944	31	6	affirmative	affirmative	ADJ
ap-944	31	7	as	as	ADV
ap-944	31	8	long	long	ADV
ap-944	31	9	as	as	SCONJ
ap-944	31	10	we	we	PRON
ap-944	31	11	are	be	AUX
ap-944	31	12	dealing	deal	VERB
ap-944	31	13	with	with	ADP
ap-944	31	14	operators	operator	NOUN
ap-944	31	15	having	have	VERB
ap-944	31	16	purely	purely	ADV
ap-944	31	17	real	real	ADJ
ap-944	31	18	spectra	spectra	NOUN
ap-944	31	19	.	.	PUNCT
ap-944	32	1	at	at	ADP
ap-944	32	2	first	first	ADJ
ap-944	32	3	sight	sight	NOUN
ap-944	32	4	,	,	PUNCT
ap-944	32	5	we	we	PRON
ap-944	32	6	encounter	encounter	VERB
ap-944	32	7	a	a	DET
ap-944	32	8	serious	serious	ADJ
ap-944	32	9	problem	problem	NOUN
ap-944	32	10	that	that	SCONJ
ap-944	32	11	the	the	DET
ap-944	32	12	time	time	NOUN
ap-944	32	13	evolution	evolution	NOUN
ap-944	32	14	generated	generate	VERB
ap-944	32	15	by	by	ADP
ap-944	32	16	these	these	DET
ap-944	32	17	hamiltonians	hamiltonian	NOUN
ap-944	32	18	is	be	AUX
ap-944	32	19	non	non	ADJ
ap-944	32	20	-	-	ADJ
ap-944	32	21	unitary	unitary	ADJ
ap-944	32	22	with	with	ADP
ap-944	32	23	respect	respect	NOUN
ap-944	32	24	to	to	ADP
ap-944	32	25	the	the	DET
ap-944	32	26	scalar	scalar	ADJ
ap-944	32	27	product	product	NOUN
ap-944	32	28	(	(	PUNCT
ap-944	32	29	1	1	NUM
ap-944	32	30	)	)	PUNCT
ap-944	32	31	.	.	PUNCT
ap-944	33	1	this	this	DET
ap-944	33	2	problem	problem	NOUN
ap-944	33	3	has	have	AUX
ap-944	33	4	been	be	AUX
ap-944	33	5	fixed	fix	VERB
ap-944	33	6	by	by	ADP
ap-944	33	7	the	the	DET
ap-944	33	8	theorem	theorem	NOUN
ap-944	33	9	which	which	PRON
ap-944	33	10	states	state	VERB
ap-944	33	11	[	[	X
ap-944	33	12	14	14	NUM
ap-944	33	13	]	]	X
ap-944	33	14	:	:	PUNCT
ap-944	33	15	for	for	ADP
ap-944	33	16	any	any	DET
ap-944	33	17	pseudo	pseudo	NOUN
ap-944	33	18	-	-	ADJ
ap-944	33	19	hermitian	hermitian	ADJ
ap-944	33	20	operator	operator	NOUN
ap-944	33	21	with	with	ADP
ap-944	33	22	a	a	DET
ap-944	33	23	purely	purely	ADV
ap-944	33	24	real	real	ADJ
ap-944	33	25	spectrum	spectrum	NOUN
ap-944	33	26	there	there	ADV
ap-944	33	27	exists	exist	VERB
ap-944	33	28	a	a	DET
ap-944	33	29	positive	positive	ADJ
ap-944	33	30	-	-	PUNCT
ap-944	33	31	definite	definite	ADJ
ap-944	33	32	operator	operator	NOUN
ap-944	33	33	�	�	PROPN
ap-944	33	34	with	with	ADP
ap-944	33	35	respect	respect	NOUN
ap-944	33	36	to	to	ADP
ap-944	33	37	which	which	PRON
ap-944	33	38	the	the	DET
ap-944	33	39	hamiltonian	hamiltonian	NOUN
ap-944	33	40	is	be	AUX
ap-944	33	41	pseudo	pseudo	NOUN
ap-944	33	42	-	-	ADJ
ap-944	33	43	hermitian	hermitian	ADJ
ap-944	33	44	,	,	PUNCT
ap-944	33	45	i.e.	i.e.	X
ap-944	33	46	h	h	NOUN
ap-944	33	47	h†	h†	X
ap-944	33	48	,	,	PUNCT
ap-944	33	49	�	�	PROPN
ap-944	33	50	�	�	PROPN
ap-944	33	51	�	�	PROPN
ap-944	33	52	�	�	PROPN
ap-944	33	53	�	�	PROPN
ap-944	33	54	0	0	NUM
ap-944	34	1	the	the	DET
ap-944	34	2	consistent	consistent	ADJ
ap-944	34	3	unitary	unitary	ADJ
ap-944	34	4	evolution	evolution	NOUN
ap-944	34	5	generated	generate	VERB
ap-944	34	6	by	by	ADP
ap-944	34	7	h	h	NOUN
ap-944	34	8	is	be	AUX
ap-944	34	9	recovered	recover	VERB
ap-944	34	10	by	by	ADP
ap-944	34	11	redefining	redefine	VERB
ap-944	34	12	of	of	ADP
ap-944	34	13	the	the	DET
ap-944	34	14	scalar	scalar	ADJ
ap-944	34	15	product	product	NOUN
ap-944	34	16	.	.	PUNCT
ap-944	35	1	instead	instead	ADV
ap-944	35	2	of	of	ADP
ap-944	35	3	(	(	PUNCT
ap-944	35	4	1	1	NUM
ap-944	35	5	)	)	PUNCT
ap-944	35	6	,	,	PUNCT
ap-944	35	7	we	we	PRON
ap-944	35	8	fix	fix	VERB
ap-944	35	9	it	it	PRON
ap-944	35	10	in	in	ADP
ap-944	35	11	the	the	DET
ap-944	35	12	following	follow	VERB
ap-944	35	13	form	form	NOUN
ap-944	35	14	(	(	PUNCT
ap-944	35	15	,	,	PUNCT
ap-944	35	16	)	)	PUNCT
ap-944	35	17	�	�	PROPN
ap-944	35	18	�	�	PROPN
ap-944	35	19	�	�	PROPN
ap-944	35	20	�	�	PROPN
ap-944	35	21	1	1	NUM
ap-944	35	22	2	2	NUM
ap-944	35	23	2	2	NUM
ap-944	35	24	�	�	PROPN
ap-944	35	25	�	�	PROPN
ap-944	35	26	�	�	PROPN
ap-944	35	27	�	�	PROPN
ap-944	35	28	1	1	NUM
ap-944	35	29	*	*	NOUN
ap-944	35	30	dqn	dqn	NOUN
ap-944	35	31	.	.	PUNCT
ap-944	36	1	(	(	PUNCT
ap-944	36	2	2	2	X
ap-944	36	3	)	)	PUNCT
ap-944	36	4	©	©	PROPN
ap-944	36	5	czech	czech	PROPN
ap-944	36	6	technical	technical	PROPN
ap-944	36	7	university	university	PROPN
ap-944	36	8	publishing	publishing	NOUN
ap-944	36	9	house	house	NOUN
ap-944	36	10	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-944	36	11	71	71	NUM
ap-944	36	12	acta	acta	PROPN
ap-944	36	13	polytechnica	polytechnica	PROPN
ap-944	36	14	vol	vol	NOUN
ap-944	36	15	.	.	PUNCT
ap-944	37	1	47	47	NUM
ap-944	37	2	no	no	NOUN
ap-944	37	3	.	.	PUNCT
ap-944	38	1	2–3/2007	2–3/2007	NUM
ap-944	38	2	pseudo	pseudo	NOUN
ap-944	38	3	-	-	ADJ
ap-944	38	4	hermitian	hermitian	ADJ
ap-944	38	5	operators	operator	NOUN
ap-944	38	6	in	in	ADP
ap-944	38	7	a	a	DET
ap-944	38	8	description	description	NOUN
ap-944	38	9	of	of	ADP
ap-944	38	10	physical	physical	ADJ
ap-944	38	11	systems	system	NOUN
ap-944	38	12	v.	v.	ADP
ap-944	38	13	jakubský	jakubský	PROPN
ap-944	38	14	we	we	PRON
ap-944	38	15	present	present	VERB
ap-944	38	16	some	some	DET
ap-944	38	17	basic	basic	ADJ
ap-944	38	18	features	feature	NOUN
ap-944	38	19	of	of	ADP
ap-944	38	20	pseudo	pseudo	NOUN
ap-944	38	21	-	-	ADJ
ap-944	38	22	hermitian	hermitian	ADJ
ap-944	38	23	quantum	quantum	ADJ
ap-944	38	24	mechanics	mechanic	NOUN
ap-944	38	25	and	and	CCONJ
ap-944	38	26	illustrate	illustrate	VERB
ap-944	38	27	the	the	DET
ap-944	38	28	use	use	NOUN
ap-944	38	29	of	of	ADP
ap-944	38	30	pseudo	pseudo	NOUN
ap-944	38	31	-	-	ADJ
ap-944	38	32	hermitian	hermitian	ADJ
ap-944	38	33	hamiltonians	hamiltonian	NOUN
ap-944	38	34	in	in	ADP
ap-944	38	35	a	a	DET
ap-944	38	36	description	description	NOUN
ap-944	38	37	of	of	ADP
ap-944	38	38	physical	physical	ADJ
ap-944	38	39	systems	system	NOUN
ap-944	38	40	.	.	PUNCT
ap-944	39	1	keywords	keyword	NOUN
ap-944	39	2	:	:	PUNCT
ap-944	39	3	pseudo	pseudo	NOUN
ap-944	39	4	-	-	ADJ
ap-944	39	5	hermitian	hermitian	ADJ
ap-944	39	6	operators	operator	NOUN
ap-944	39	7	,	,	PUNCT
ap-944	39	8	klein	klein	PROPN
ap-944	39	9	-	-	PUNCT
ap-944	39	10	gordon	gordon	PROPN
ap-944	39	11	and	and	CCONJ
ap-944	39	12	proca	proca	PROPN
ap-944	39	13	equation	equation	NOUN
ap-944	39	14	,	,	PUNCT
ap-944	39	15	thermodynamics	thermodynamic	NOUN
ap-944	39	16	.	.	PUNCT
ap-944	40	1	the	the	DET
ap-944	40	2	hamiltonian	hamiltonian	ADJ
ap-944	40	3	h	h	NOUN
ap-944	40	4	is	be	AUX
ap-944	40	5	self	self	NOUN
ap-944	40	6	-	-	PUNCT
ap-944	40	7	adjoint	adjoint	NOUN
ap-944	40	8	with	with	ADP
ap-944	40	9	respect	respect	NOUN
ap-944	40	10	to	to	ADP
ap-944	40	11	the	the	DET
ap-944	40	12	new	new	ADJ
ap-944	40	13	scalar	scalar	ADJ
ap-944	40	14	product	product	NOUN
ap-944	40	15	and	and	CCONJ
ap-944	40	16	may	may	AUX
ap-944	40	17	consequently	consequently	ADV
ap-944	40	18	serve	serve	VERB
ap-944	40	19	as	as	ADP
ap-944	40	20	a	a	DET
ap-944	40	21	generator	generator	NOUN
ap-944	40	22	of	of	ADP
ap-944	40	23	time	time	NOUN
ap-944	40	24	translations	translation	NOUN
ap-944	40	25	.	.	PUNCT
ap-944	41	1	so	so	ADV
ap-944	41	2	,	,	PUNCT
ap-944	41	3	we	we	PRON
ap-944	41	4	encounter	encounter	VERB
ap-944	41	5	a	a	DET
ap-944	41	6	twofold	twofold	NOUN
ap-944	41	7	problem	problem	NOUN
ap-944	41	8	in	in	ADP
ap-944	41	9	pseudo	pseudo	NOUN
ap-944	41	10	-	-	ADJ
ap-944	41	11	hermitian	hermitian	ADJ
ap-944	41	12	quantum	quantum	NOUN
ap-944	41	13	mechanics	mechanic	NOUN
ap-944	41	14	.	.	PUNCT
ap-944	42	1	first	first	ADV
ap-944	42	2	,	,	PUNCT
ap-944	42	3	one	one	PRON
ap-944	42	4	has	have	VERB
ap-944	42	5	to	to	PART
ap-944	42	6	check	check	VERB
ap-944	42	7	the	the	DET
ap-944	42	8	spectrum	spectrum	NOUN
ap-944	42	9	of	of	ADP
ap-944	42	10	the	the	DET
ap-944	42	11	operator	operator	NOUN
ap-944	42	12	.	.	PUNCT
ap-944	43	1	when	when	SCONJ
ap-944	43	2	it	it	PRON
ap-944	43	3	consists	consist	VERB
ap-944	43	4	of	of	ADP
ap-944	43	5	real	real	ADJ
ap-944	43	6	eigenvalues	eigenvalue	NOUN
ap-944	43	7	only	only	ADV
ap-944	43	8	,	,	PUNCT
ap-944	43	9	the	the	DET
ap-944	43	10	existence	existence	NOUN
ap-944	43	11	of	of	ADP
ap-944	43	12	positive	positive	ADJ
ap-944	43	13	-	-	PUNCT
ap-944	43	14	definite	definite	ADJ
ap-944	43	15	metric	metric	ADJ
ap-944	43	16	operator	operator	NOUN
ap-944	43	17	�	�	PROPN
ap-944	43	18	is	be	AUX
ap-944	43	19	guaranteed	guarantee	VERB
ap-944	43	20	and	and	CCONJ
ap-944	43	21	its	its	PRON
ap-944	43	22	explicit	explicit	ADJ
ap-944	43	23	construction	construction	NOUN
ap-944	43	24	follows	follow	VERB
ap-944	43	25	.	.	PUNCT
ap-944	44	1	the	the	DET
ap-944	44	2	construction	construction	NOUN
ap-944	44	3	is	be	AUX
ap-944	44	4	non	non	ADJ
ap-944	44	5	-	-	ADJ
ap-944	44	6	trivial	trivial	ADJ
ap-944	44	7	in	in	ADP
ap-944	44	8	most	most	ADJ
ap-944	44	9	cases	case	NOUN
ap-944	44	10	and	and	CCONJ
ap-944	44	11	contains	contain	VERB
ap-944	44	12	an	an	DET
ap-944	44	13	additional	additional	ADJ
ap-944	44	14	subtlety	subtlety	NOUN
ap-944	44	15	:	:	PUNCT
ap-944	44	16	the	the	DET
ap-944	44	17	resulting	result	VERB
ap-944	44	18	metric	metric	ADJ
ap-944	44	19	operator	operator	NOUN
ap-944	44	20	is	be	AUX
ap-944	44	21	non	non	ADJ
ap-944	44	22	-	-	ADJ
ap-944	44	23	unique	unique	ADJ
ap-944	44	24	.	.	PUNCT
ap-944	45	1	for	for	ADP
ap-944	45	2	given	give	VERB
ap-944	45	3	hamiltonian	hamiltonian	ADJ
ap-944	45	4	h	h	NOUN
ap-944	45	5	,	,	PUNCT
ap-944	45	6	there	there	PRON
ap-944	45	7	exist	exist	VERB
ap-944	45	8	rather	rather	ADV
ap-944	45	9	a	a	DET
ap-944	45	10	class	class	NOUN
ap-944	45	11	of	of	ADP
ap-944	45	12	admissible	admissible	ADJ
ap-944	45	13	metric	metric	ADJ
ap-944	45	14	operators	operator	NOUN
ap-944	45	15	and	and	CCONJ
ap-944	45	16	associated	associate	VERB
ap-944	45	17	scalar	scalar	ADJ
ap-944	45	18	products	product	NOUN
ap-944	45	19	.	.	PUNCT
ap-944	46	1	the	the	DET
ap-944	46	2	mathematical	mathematical	ADJ
ap-944	46	3	framework	framework	NOUN
ap-944	46	4	does	do	AUX
ap-944	46	5	not	not	PART
ap-944	46	6	provide	provide	VERB
ap-944	46	7	any	any	DET
ap-944	46	8	restriction	restriction	NOUN
ap-944	46	9	to	to	PART
ap-944	46	10	make	make	VERB
ap-944	46	11	the	the	DET
ap-944	46	12	result	result	NOUN
ap-944	46	13	of	of	ADP
ap-944	46	14	the	the	DET
ap-944	46	15	construction	construction	NOUN
ap-944	46	16	unique	unique	ADJ
ap-944	46	17	.	.	PUNCT
ap-944	47	1	to	to	PART
ap-944	47	2	weaken	weaken	VERB
ap-944	47	3	the	the	DET
ap-944	47	4	ambiguity	ambiguity	NOUN
ap-944	47	5	,	,	PUNCT
ap-944	47	6	one	one	PRON
ap-944	47	7	employs	employ	VERB
ap-944	47	8	additional	additional	ADJ
ap-944	47	9	,	,	PUNCT
ap-944	47	10	physically	physically	ADV
ap-944	47	11	motivated	motivated	ADJ
ap-944	47	12	requirements	requirement	NOUN
ap-944	47	13	on	on	ADP
ap-944	47	14	the	the	DET
ap-944	47	15	scalar	scalar	ADJ
ap-944	47	16	product	product	NOUN
ap-944	47	17	–	–	PUNCT
ap-944	47	18	metric	metric	ADJ
ap-944	47	19	operator	operator	NOUN
ap-944	47	20	.	.	PUNCT
ap-944	48	1	in	in	ADP
ap-944	48	2	the	the	DET
ap-944	48	3	following	following	ADJ
ap-944	48	4	section	section	NOUN
ap-944	48	5	,	,	PUNCT
ap-944	48	6	we	we	PRON
ap-944	48	7	will	will	AUX
ap-944	48	8	provide	provide	VERB
ap-944	48	9	an	an	DET
ap-944	48	10	example	example	NOUN
ap-944	48	11	of	of	ADP
ap-944	48	12	pseudo	pseudo	NOUN
ap-944	48	13	-	-	ADJ
ap-944	48	14	hermitian	hermitian	ADJ
ap-944	48	15	systems	system	NOUN
ap-944	48	16	which	which	PRON
ap-944	48	17	appear	appear	VERB
ap-944	48	18	in	in	ADP
ap-944	48	19	relativistic	relativistic	ADJ
ap-944	48	20	quantum	quantum	ADJ
ap-944	48	21	mechanics	mechanic	NOUN
ap-944	48	22	.	.	PUNCT
ap-944	49	1	it	it	PRON
ap-944	49	2	illustrates	illustrate	VERB
ap-944	49	3	the	the	DET
ap-944	49	4	construction	construction	NOUN
ap-944	49	5	of	of	ADP
ap-944	49	6	a	a	DET
ap-944	49	7	proper	proper	ADJ
ap-944	49	8	positive	positive	ADJ
ap-944	49	9	-	-	PUNCT
ap-944	49	10	definite	definite	ADJ
ap-944	49	11	scalar	scalar	ADJ
ap-944	49	12	-	-	PUNCT
ap-944	49	13	product	product	NOUN
ap-944	49	14	and	and	CCONJ
ap-944	49	15	discusses	discuss	VERB
ap-944	49	16	consequent	consequent	ADJ
ap-944	49	17	restriction	restriction	NOUN
ap-944	49	18	of	of	ADP
ap-944	49	19	its	its	PRON
ap-944	49	20	ambiguity	ambiguity	NOUN
ap-944	49	21	by	by	ADP
ap-944	49	22	the	the	DET
ap-944	49	23	additional	additional	ADJ
ap-944	49	24	physical	physical	ADJ
ap-944	49	25	requirement	requirement	NOUN
ap-944	49	26	of	of	ADP
ap-944	49	27	relativistic	relativistic	ADJ
ap-944	49	28	invariance	invariance	NOUN
ap-944	49	29	.	.	PUNCT
ap-944	50	1	2	2	NUM
ap-944	50	2	pseudo	pseudo	NOUN
ap-944	50	3	-	-	ADJ
ap-944	50	4	hermitian	hermitian	ADJ
ap-944	50	5	hamiltonians	hamiltonian	NOUN
ap-944	50	6	in	in	ADP
ap-944	50	7	relativistic	relativistic	ADJ
ap-944	50	8	quantum	quantum	ADJ
ap-944	50	9	mechanics	mechanic	NOUN
ap-944	50	10	attempts	attempt	VERB
ap-944	50	11	to	to	PART
ap-944	50	12	marry	marry	VERB
ap-944	50	13	the	the	DET
ap-944	50	14	special	special	ADJ
ap-944	50	15	theory	theory	NOUN
ap-944	50	16	of	of	ADP
ap-944	50	17	relativity	relativity	NOUN
ap-944	50	18	(	(	PUNCT
ap-944	50	19	str	str	NOUN
ap-944	50	20	)	)	PUNCT
ap-944	50	21	and	and	CCONJ
ap-944	50	22	quantum	quantum	NOUN
ap-944	50	23	mechanics	mechanic	NOUN
ap-944	50	24	gave	give	VERB
ap-944	50	25	rise	rise	NOUN
ap-944	50	26	to	to	ADP
ap-944	50	27	the	the	DET
ap-944	50	28	well	well	ADV
ap-944	50	29	known	know	VERB
ap-944	50	30	equations	equation	NOUN
ap-944	50	31	of	of	ADP
ap-944	50	32	relativistic	relativistic	ADJ
ap-944	50	33	quantum	quantum	ADJ
ap-944	50	34	mechanics	mechanic	NOUN
ap-944	50	35	.	.	PUNCT
ap-944	51	1	the	the	DET
ap-944	51	2	theory	theory	NOUN
ap-944	51	3	built	build	VERB
ap-944	51	4	on	on	ADP
ap-944	51	5	the	the	DET
ap-944	51	6	dirac	dirac	NOUN
ap-944	51	7	equation	equation	NOUN
ap-944	51	8	provides	provide	VERB
ap-944	51	9	a	a	DET
ap-944	51	10	consistent	consistent	ADJ
ap-944	51	11	description	description	NOUN
ap-944	51	12	of	of	ADP
ap-944	51	13	relativistic	relativistic	ADJ
ap-944	51	14	spin	spin	NOUN
ap-944	51	15	one	one	NUM
ap-944	51	16	-	-	PUNCT
ap-944	51	17	half	half	NOUN
ap-944	51	18	particles	particle	NOUN
ap-944	51	19	,	,	PUNCT
ap-944	51	20	at	at	ADP
ap-944	51	21	least	least	ADJ
ap-944	51	22	in	in	ADP
ap-944	51	23	the	the	DET
ap-944	51	24	presence	presence	NOUN
ap-944	51	25	of	of	ADP
ap-944	51	26	weak	weak	ADJ
ap-944	51	27	external	external	ADJ
ap-944	51	28	fields	field	NOUN
ap-944	51	29	.	.	PUNCT
ap-944	52	1	the	the	DET
ap-944	52	2	theory	theory	NOUN
ap-944	52	3	based	base	VERB
ap-944	52	4	on	on	ADP
ap-944	52	5	klein	klein	PROPN
ap-944	52	6	-	-	PUNCT
ap-944	52	7	gordon	gordon	PROPN
ap-944	52	8	and	and	CCONJ
ap-944	52	9	proca	proca	PROPN
ap-944	52	10	equations	equation	NOUN
ap-944	52	11	representing	represent	VERB
ap-944	52	12	evolution	evolution	NOUN
ap-944	52	13	equations	equation	NOUN
ap-944	52	14	for	for	ADP
ap-944	52	15	spin	spin	NOUN
ap-944	52	16	zero	zero	NUM
ap-944	52	17	and	and	CCONJ
ap-944	52	18	spin	spin	VERB
ap-944	52	19	one	one	NUM
ap-944	52	20	particles	particle	NOUN
ap-944	52	21	has	have	AUX
ap-944	52	22	met	meet	VERB
ap-944	52	23	serious	serious	ADJ
ap-944	52	24	problems	problem	NOUN
ap-944	52	25	with	with	ADP
ap-944	52	26	probabilistic	probabilistic	ADJ
ap-944	52	27	interpretation	interpretation	NOUN
ap-944	52	28	of	of	ADP
ap-944	52	29	their	their	PRON
ap-944	52	30	solutions	solution	NOUN
ap-944	52	31	.	.	PUNCT
ap-944	53	1	the	the	DET
ap-944	53	2	associated	associated	ADJ
ap-944	53	3	scalar	scalar	ADJ
ap-944	53	4	product	product	NOUN
ap-944	53	5	showed	show	VERB
ap-944	53	6	to	to	PART
ap-944	53	7	be	be	AUX
ap-944	53	8	indefinite	indefinite	ADJ
ap-944	53	9	.	.	PUNCT
ap-944	54	1	the	the	DET
ap-944	54	2	problem	problem	NOUN
ap-944	54	3	is	be	AUX
ap-944	54	4	closely	closely	ADV
ap-944	54	5	related	relate	VERB
ap-944	54	6	to	to	ADP
ap-944	54	7	the	the	DET
ap-944	54	8	fact	fact	NOUN
ap-944	54	9	that	that	SCONJ
ap-944	54	10	the	the	DET
ap-944	54	11	equations	equation	NOUN
ap-944	54	12	are	be	AUX
ap-944	54	13	of	of	ADP
ap-944	54	14	the	the	DET
ap-944	54	15	second	second	ADJ
ap-944	54	16	order	order	NOUN
ap-944	54	17	in	in	ADP
ap-944	54	18	the	the	DET
ap-944	54	19	time	time	NOUN
ap-944	54	20	derivative	derivative	ADJ
ap-944	54	21	.	.	PUNCT
ap-944	55	1	nowadays	nowadays	ADV
ap-944	55	2	,	,	PUNCT
ap-944	55	3	the	the	DET
ap-944	55	4	genuine	genuine	ADJ
ap-944	55	5	fusion	fusion	NOUN
ap-944	55	6	of	of	ADP
ap-944	55	7	str	str	NOUN
ap-944	55	8	and	and	CCONJ
ap-944	55	9	quantum	quantum	NOUN
ap-944	55	10	theory	theory	NOUN
ap-944	55	11	is	be	AUX
ap-944	55	12	represented	represent	VERB
ap-944	55	13	by	by	ADP
ap-944	55	14	quantum	quantum	ADJ
ap-944	55	15	field	field	NOUN
ap-944	55	16	theory	theory	NOUN
ap-944	55	17	.	.	PUNCT
ap-944	56	1	however	however	ADV
ap-944	56	2	,	,	PUNCT
ap-944	56	3	relativistic	relativistic	ADJ
ap-944	56	4	quantum	quantum	ADJ
ap-944	56	5	mechanics	mechanic	NOUN
ap-944	56	6	may	may	AUX
ap-944	56	7	serve	serve	VERB
ap-944	56	8	as	as	ADP
ap-944	56	9	a	a	DET
ap-944	56	10	powerful	powerful	ADJ
ap-944	56	11	tool	tool	NOUN
ap-944	56	12	in	in	ADP
ap-944	56	13	describing	describe	VERB
ap-944	56	14	compound	compound	NOUN
ap-944	56	15	particles	particle	NOUN
ap-944	56	16	in	in	ADP
ap-944	56	17	the	the	DET
ap-944	56	18	weak	weak	ADJ
ap-944	56	19	external	external	ADJ
ap-944	56	20	fields	field	NOUN
ap-944	56	21	or	or	CCONJ
ap-944	56	22	may	may	AUX
ap-944	56	23	provide	provide	VERB
ap-944	56	24	relativistic	relativistic	ADJ
ap-944	56	25	corrections	correction	NOUN
ap-944	56	26	to	to	ADP
ap-944	56	27	the	the	DET
ap-944	56	28	non	non	ADJ
ap-944	56	29	-	-	ADJ
ap-944	56	30	relativistic	relativistic	ADJ
ap-944	56	31	systems	system	NOUN
ap-944	56	32	.	.	PUNCT
ap-944	57	1	recently	recently	ADV
ap-944	57	2	,	,	PUNCT
ap-944	57	3	relativistic	relativistic	ADJ
ap-944	57	4	integer	integer	NOUN
ap-944	57	5	-	-	PUNCT
ap-944	57	6	spin	spin	NOUN
ap-944	57	7	systems	system	NOUN
ap-944	57	8	have	have	AUX
ap-944	57	9	been	be	AUX
ap-944	57	10	reconsidered	reconsider	VERB
ap-944	57	11	within	within	ADP
ap-944	57	12	the	the	DET
ap-944	57	13	framework	framework	NOUN
ap-944	57	14	of	of	ADP
ap-944	57	15	pseudo	pseudo	NOUN
ap-944	57	16	-	-	ADJ
ap-944	57	17	hermitian	hermitian	ADJ
ap-944	57	18	quantum	quantum	NOUN
ap-944	57	19	mechanics	mechanic	NOUN
ap-944	57	20	.	.	PUNCT
ap-944	58	1	the	the	DET
ap-944	58	2	positive	positive	ADJ
ap-944	58	3	scalar	scalar	ADJ
ap-944	58	4	product	product	NOUN
ap-944	58	5	for	for	ADP
ap-944	58	6	both	both	DET
ap-944	58	7	cases	case	NOUN
ap-944	58	8	has	have	AUX
ap-944	58	9	been	be	AUX
ap-944	58	10	constructed	construct	VERB
ap-944	58	11	[	[	PUNCT
ap-944	58	12	15	15	NUM
ap-944	58	13	,	,	PUNCT
ap-944	58	14	16	16	NUM
ap-944	58	15	]	]	PUNCT
ap-944	58	16	.	.	PUNCT
ap-944	59	1	the	the	DET
ap-944	59	2	dynamics	dynamic	NOUN
ap-944	59	3	of	of	ADP
ap-944	59	4	the	the	DET
ap-944	59	5	free	free	ADJ
ap-944	59	6	spin	spin	NOUN
ap-944	59	7	-	-	PUNCT
ap-944	59	8	less	less	ADJ
ap-944	59	9	particle	particle	NOUN
ap-944	59	10	is	be	AUX
ap-944	59	11	governed	govern	VERB
ap-944	59	12	by	by	ADP
ap-944	59	13	the	the	DET
ap-944	59	14	well	well	ADV
ap-944	59	15	-	-	PUNCT
ap-944	59	16	kown	kown	ADJ
ap-944	59	17	klein	klein	PROPN
ap-944	59	18	-	-	PUNCT
ap-944	59	19	gordon	gordon	PROPN
ap-944	59	20	equation	equation	NOUN
ap-944	59	21	(	(	PUNCT
ap-944	59	22	)	)	PUNCT
ap-944	59	23	�	�	PROPN
ap-944	59	24	�	�	PROPN
ap-944	59	25	t	t	PROPN
ap-944	59	26	p	p	PROPN
ap-944	59	27	m2	m2	PROPN
ap-944	59	28	2	2	NUM
ap-944	59	29	2	2	NUM
ap-944	59	30	0	0	NUM
ap-944	59	31	�	�	PROPN
ap-944	59	32	�	�	PROPN
ap-944	59	33	�	�	PROPN
ap-944	59	34	.	.	PUNCT
ap-944	60	1	(	(	PUNCT
ap-944	60	2	3	3	X
ap-944	60	3	)	)	PUNCT
ap-944	60	4	the	the	DET
ap-944	60	5	first	first	ADJ
ap-944	60	6	derivative	derivative	NOUN
ap-944	60	7	of	of	ADP
ap-944	60	8	the	the	DET
ap-944	60	9	wave	wave	NOUN
ap-944	60	10	function	function	NOUN
ap-944	60	11	in	in	ADP
ap-944	60	12	time	time	NOUN
ap-944	60	13	can	can	AUX
ap-944	60	14	be	be	AUX
ap-944	60	15	understood	understand	VERB
ap-944	60	16	as	as	ADP
ap-944	60	17	a	a	DET
ap-944	60	18	new	new	ADJ
ap-944	60	19	physical	physical	ADJ
ap-944	60	20	degree	degree	NOUN
ap-944	60	21	of	of	ADP
ap-944	60	22	freedom	freedom	NOUN
ap-944	60	23	.	.	PUNCT
ap-944	61	1	in	in	ADP
ap-944	61	2	this	this	DET
ap-944	61	3	context	context	NOUN
ap-944	61	4	,	,	PUNCT
ap-944	61	5	we	we	PRON
ap-944	61	6	introduce	introduce	VERB
ap-944	61	7	the	the	DET
ap-944	61	8	following	follow	VERB
ap-944	61	9	denotation	denotation	NOUN
ap-944	61	10	i	i	PRON
ap-944	61	11	t	t	PROPN
ap-944	61	12	�	�	PROPN
ap-944	61	13	�	�	PROPN
ap-944	61	14	�	�	PROPN
ap-944	61	15	�	�	PROPN
ap-944	61	16	.	.	PUNCT
ap-944	62	1	(	(	PUNCT
ap-944	62	2	4	4	NUM
ap-944	62	3	)	)	PUNCT
ap-944	62	4	together	together	ADV
ap-944	62	5	with	with	ADP
ap-944	62	6	this	this	DET
ap-944	62	7	relation	relation	NOUN
ap-944	62	8	,	,	PUNCT
ap-944	62	9	eq	eq	NOUN
ap-944	62	10	.	.	PUNCT
ap-944	63	1	(	(	PUNCT
ap-944	63	2	3	3	X
ap-944	63	3	)	)	PUNCT
ap-944	63	4	turns	turn	VERB
ap-944	63	5	to	to	ADP
ap-944	63	6	a	a	DET
ap-944	63	7	couple	couple	NOUN
ap-944	63	8	of	of	ADP
ap-944	63	9	mutually	mutually	ADV
ap-944	63	10	intertwined	intertwine	VERB
ap-944	63	11	differential	differential	ADJ
ap-944	63	12	equations	equation	NOUN
ap-944	63	13	of	of	ADP
ap-944	63	14	functions	function	NOUN
ap-944	63	15	�	�	PROPN
ap-944	63	16	and	and	CCONJ
ap-944	63	17	�	�	PROPN
ap-944	63	18	.	.	PUNCT
ap-944	64	1	this	this	DET
ap-944	64	2	system	system	NOUN
ap-944	64	3	can	can	AUX
ap-944	64	4	be	be	AUX
ap-944	64	5	rewritten	rewrite	VERB
ap-944	64	6	in	in	ADP
ap-944	64	7	terms	term	NOUN
ap-944	64	8	of	of	ADP
ap-944	64	9	two	two	NUM
ap-944	64	10	-	-	PUNCT
ap-944	64	11	componental	componental	ADJ
ap-944	64	12	formalism	formalism	NOUN
ap-944	64	13	into	into	ADP
ap-944	64	14	the	the	DET
ap-944	64	15	compact	compact	ADJ
ap-944	64	16	form	form	NOUN
ap-944	64	17	,	,	PUNCT
ap-944	64	18	which	which	PRON
ap-944	64	19	resembles	resemble	VERB
ap-944	64	20	the	the	DET
ap-944	64	21	schrödinger	schrödinger	ADJ
ap-944	64	22	equation	equation	NOUN
ap-944	64	23	i	i	PRON
ap-944	65	1	i	i	PRON
ap-944	65	2	m	m	VERB
ap-944	65	3	p	p	NOUN
ap-944	65	4	ht	ht	PROPN
ap-944	65	5	t	t	PROPN
ap-944	65	6	�	�	PROPN
ap-944	65	7	�	�	PROPN
ap-944	65	8	�	�	PROPN
ap-944	65	9	�	�	PROPN
ap-944	65	10	�	�	PROPN
ap-944	65	11	�	�	PROPN
ap-944	65	12	�	�	PROPN
ap-944	65	13	�	�	PROPN
ap-944	65	14	�	�	PROPN
ap-944	65	15	�	�	PROPN
ap-944	65	16	�	�	PROPN
ap-944	65	17	�	�	PROPN
ap-944	65	18	�	�	PROPN
ap-944	65	19	�	�	PROPN
ap-944	65	20	�	�	PROPN
ap-944	65	21	�	�	PROPN
ap-944	65	22	�	�	PROPN
ap-944	65	23	�	�	PROPN
ap-944	65	24	�	�	PROPN
ap-944	65	25	�	�	PROPN
ap-944	65	26	�	�	PROPN
ap-944	65	27	0	0	NUM
ap-944	65	28	1	1	NUM
ap-944	65	29	02	02	NUM
ap-944	65	30	2	2	NUM
ap-944	65	31	.	.	PUNCT
ap-944	66	1	(	(	PUNCT
ap-944	66	2	5	5	X
ap-944	66	3	)	)	PUNCT
ap-944	66	4	it	it	PRON
ap-944	66	5	was	be	AUX
ap-944	66	6	shown	show	VERB
ap-944	66	7	a	a	DET
ap-944	66	8	long	long	ADJ
ap-944	66	9	time	time	NOUN
ap-944	66	10	ago	ago	ADV
ap-944	66	11	[	[	X
ap-944	66	12	22	22	NUM
ap-944	66	13	]	]	PUNCT
ap-944	66	14	that	that	SCONJ
ap-944	66	15	the	the	DET
ap-944	66	16	relativistic	relativistic	ADJ
ap-944	66	17	evolution	evolution	NOUN
ap-944	66	18	equations	equation	NOUN
ap-944	66	19	can	can	AUX
ap-944	66	20	be	be	AUX
ap-944	66	21	unified	unify	VERB
ap-944	66	22	formally	formally	ADV
ap-944	66	23	in	in	ADP
ap-944	66	24	the	the	DET
ap-944	66	25	framework	framework	NOUN
ap-944	66	26	of	of	ADP
ap-944	66	27	2(2s	2(2s	PROPN
ap-944	66	28	�	�	PROPN
ap-944	66	29	1)-component	1)-component	NUM
ap-944	66	30	formalism	formalism	NOUN
ap-944	66	31	,	,	PUNCT
ap-944	66	32	where	where	SCONJ
ap-944	66	33	s	s	VERB
ap-944	66	34	denotes	denote	NOUN
ap-944	66	35	spin	spin	VERB
ap-944	66	36	of	of	ADP
ap-944	66	37	the	the	DET
ap-944	66	38	particle	particle	NOUN
ap-944	66	39	.	.	PUNCT
ap-944	67	1	spin	spin	NOUN
ap-944	67	2	-	-	PUNCT
ap-944	67	3	one	one	NUM
ap-944	67	4	half	half	NOUN
ap-944	67	5	keeps	keep	VERB
ap-944	67	6	its	its	PRON
ap-944	67	7	privileged	privileged	ADJ
ap-944	67	8	position	position	NOUN
ap-944	67	9	even	even	ADV
ap-944	67	10	in	in	ADP
ap-944	67	11	this	this	DET
ap-944	67	12	framework	framework	NOUN
ap-944	67	13	,	,	PUNCT
ap-944	67	14	as	as	SCONJ
ap-944	67	15	the	the	DET
ap-944	67	16	associated	associated	ADJ
ap-944	67	17	hamiltonian	hamiltonian	NOUN
ap-944	67	18	(	(	PUNCT
ap-944	67	19	dirac	dirac	NOUN
ap-944	67	20	hamiltonian	hamiltonian	NOUN
ap-944	67	21	)	)	PUNCT
ap-944	67	22	is	be	AUX
ap-944	67	23	hermitian	hermitian	ADJ
ap-944	67	24	in	in	ADP
ap-944	67	25	contrast	contrast	NOUN
ap-944	67	26	to	to	ADP
ap-944	67	27	the	the	DET
ap-944	67	28	integer	integer	NOUN
ap-944	67	29	-	-	PUNCT
ap-944	67	30	spin	spin	NOUN
ap-944	67	31	systems	system	NOUN
ap-944	67	32	.	.	PUNCT
ap-944	68	1	the	the	DET
ap-944	68	2	operator	operator	NOUN
ap-944	68	3	h	h	NOUN
ap-944	68	4	ceases	cease	VERB
ap-944	68	5	to	to	PART
ap-944	68	6	be	be	AUX
ap-944	68	7	hermitian	hermitian	ADJ
ap-944	68	8	.	.	PUNCT
ap-944	69	1	instead	instead	ADV
ap-944	69	2	,	,	PUNCT
ap-944	69	3	it	it	PRON
ap-944	69	4	satisfies	satisfy	VERB
ap-944	69	5	the	the	DET
ap-944	69	6	relation	relation	NOUN
ap-944	69	7	h	h	NOUN
ap-944	69	8	php	php	PROPN
ap-944	69	9	p†	p†	PROPN
ap-944	69	10	,	,	PUNCT
ap-944	69	11	�	�	PROPN
ap-944	69	12	�	�	PROPN
ap-944	69	13	�	�	PROPN
ap-944	69	14	�	�	PROPN
ap-944	69	15	�	�	PROPN
ap-944	69	16	0	0	NUM
ap-944	69	17	1	1	NUM
ap-944	69	18	1	1	NUM
ap-944	69	19	0	0	NUM
ap-944	69	20	,	,	PUNCT
ap-944	69	21	(	(	PUNCT
ap-944	69	22	6	6	NUM
ap-944	69	23	)	)	PUNCT
ap-944	69	24	which	which	PRON
ap-944	69	25	establishes	establish	VERB
ap-944	69	26	its	its	PRON
ap-944	69	27	pseudo	pseudo	NOUN
ap-944	69	28	-	-	NOUN
ap-944	69	29	hermiticity	hermiticity	NOUN
ap-944	69	30	with	with	ADP
ap-944	69	31	respect	respect	NOUN
ap-944	69	32	to	to	ADP
ap-944	69	33	p.	p.	NOUN
ap-944	69	34	the	the	DET
ap-944	69	35	hamiltonian	hamiltonian	NOUN
ap-944	69	36	has	have	VERB
ap-944	69	37	a	a	DET
ap-944	69	38	purely	purely	ADV
ap-944	69	39	real	real	ADJ
ap-944	69	40	spectrum	spectrum	NOUN
ap-944	69	41	which	which	PRON
ap-944	69	42	consists	consist	VERB
ap-944	69	43	of	of	ADP
ap-944	69	44	the	the	DET
ap-944	69	45	values	value	NOUN
ap-944	69	46	�	�	PROPN
ap-944	69	47	�	�	PROPN
ap-944	69	48	�	�	PROPN
ap-944	69	49	�	�	PROPN
ap-944	69	50	�	�	PROPN
ap-944	69	51	p	p	PROPN
ap-944	69	52	m2	m2	PROPN
ap-944	69	53	2	2	NUM
ap-944	69	54	.	.	PUNCT
ap-944	70	1	consequently	consequently	ADV
ap-944	70	2	,	,	PUNCT
ap-944	70	3	the	the	DET
ap-944	70	4	existence	existence	NOUN
ap-944	70	5	of	of	ADP
ap-944	70	6	the	the	DET
ap-944	70	7	positive	positive	ADJ
ap-944	70	8	metric	metric	ADJ
ap-944	70	9	operator	operator	NOUN
ap-944	70	10	is	be	AUX
ap-944	70	11	guaranteed	guarantee	VERB
ap-944	70	12	.	.	PUNCT
ap-944	71	1	its	its	PRON
ap-944	71	2	explicit	explicit	ADJ
ap-944	71	3	form	form	NOUN
ap-944	71	4	in	in	ADP
ap-944	71	5	momentum	momentum	NOUN
ap-944	71	6	representation	representation	NOUN
ap-944	71	7	reads	read	VERB
ap-944	71	8	�	�	PROPN
ap-944	71	9	�	�	PROPN
ap-944	71	10	�	�	PROPN
ap-944	71	11	(	(	PUNCT
ap-944	71	12	)	)	PUNCT
ap-944	71	13	(	(	PUNCT
ap-944	71	14	)	)	PUNCT
ap-944	71	15	(	(	PUNCT
ap-944	71	16	)	)	PUNCT
ap-944	71	17	(	(	PUNCT
ap-944	71	18	)	)	PUNCT
ap-944	71	19	(	(	PUNCT
ap-944	71	20	)	)	PUNCT
ap-944	71	21	(	(	PUNCT
ap-944	71	22	)	)	PUNCT
ap-944	71	23	(	(	PUNCT
ap-944	71	24	)	)	PUNCT
ap-944	71	25	(	(	PUNCT
ap-944	71	26	)	)	PUNCT
ap-944	71	27	p	p	X
ap-944	72	1	p	p	X
ap-944	72	2	p	p	X
ap-944	72	3	p	p	PROPN
ap-944	72	4	p	p	PROPN
ap-944	72	5	p	p	PROPN
ap-944	72	6	p	p	X
ap-944	72	7	p	p	PROPN
ap-944	72	8	�	�	PROPN
ap-944	72	9	�	�	PROPN
ap-944	72	10	�	�	PROPN
ap-944	72	11	�	�	PROPN
ap-944	72	12	�	�	PROPN
ap-944	72	13	�	�	PROPN
ap-944	72	14	�	�	PROPN
ap-944	72	15	�	�	PROPN
ap-944	72	16	�	�	PROPN
ap-944	72	17	�	�	PROPN
ap-944	72	18	�	�	PROPN
ap-944	72	19	�	�	PROPN
ap-944	72	20	�	�	PROPN
ap-944	72	21	�	�	PROPN
ap-944	72	22	1	1	NUM
ap-944	72	23	�	�	PROPN
ap-944	72	24	�	�	PROPN
ap-944	72	25	�	�	PROPN
ap-944	72	26	�	�	PROPN
ap-944	72	27	�	�	PROPN
ap-944	72	28	�	�	PROPN
ap-944	72	29	(	(	PUNCT
ap-944	72	30	)	)	PUNCT
ap-944	72	31	p	p	PROPN
ap-944	72	32	�	�	PROPN
ap-944	72	33	.	.	PUNCT
ap-944	73	1	(	(	PUNCT
ap-944	73	2	7	7	X
ap-944	73	3	)	)	PUNCT
ap-944	73	4	this	this	PRON
ap-944	73	5	contains	contain	VERB
ap-944	73	6	positive	positive	ADJ
ap-944	73	7	but	but	CCONJ
ap-944	73	8	arbitrary	arbitrary	ADJ
ap-944	73	9	functions	function	NOUN
ap-944	73	10	�	�	PROPN
ap-944	73	11	(	(	PUNCT
ap-944	73	12	)	)	PUNCT
ap-944	73	13	p	p	X
ap-944	73	14	which	which	PRON
ap-944	73	15	represent	represent	VERB
ap-944	73	16	the	the	DET
ap-944	73	17	non	non	NOUN
ap-944	73	18	-	-	NOUN
ap-944	73	19	uniquness	uniquness	NOUN
ap-944	73	20	of	of	ADP
ap-944	73	21	the	the	DET
ap-944	73	22	scalar	scalar	ADJ
ap-944	73	23	product	product	NOUN
ap-944	73	24	.	.	PUNCT
ap-944	74	1	to	to	PART
ap-944	74	2	restrict	restrict	VERB
ap-944	74	3	the	the	DET
ap-944	74	4	ambiguity	ambiguity	NOUN
ap-944	74	5	,	,	PUNCT
ap-944	74	6	we	we	PRON
ap-944	74	7	impose	impose	VERB
ap-944	74	8	additional	additional	ADJ
ap-944	74	9	requirement	requirement	NOUN
ap-944	74	10	of	of	ADP
ap-944	74	11	lorentz	lorentz	PROPN
ap-944	74	12	invariance	invariance	NOUN
ap-944	74	13	of	of	ADP
ap-944	74	14	the	the	DET
ap-944	74	15	scalar	scalar	ADJ
ap-944	74	16	product	product	NOUN
ap-944	74	17	(	(	PUNCT
ap-944	74	18	,	,	PUNCT
ap-944	74	19	)	)	PUNCT
ap-944	74	20	(	(	PUNCT
ap-944	74	21	,	,	PUNCT
ap-944	74	22	)	)	PUNCT
ap-944	74	23	�	�	PROPN
ap-944	74	24	�	�	PROPN
ap-944	74	25	�	�	PROPN
ap-944	74	26	�	�	PROPN
ap-944	74	27	�	�	PROPN
ap-944	74	28	�	�	PROPN
ap-944	74	29	�	�	PROPN
ap-944	74	30	�	�	PROPN
ap-944	74	31	�	�	PROPN
ap-944	74	32	1	1	NUM
ap-944	74	33	2	2	NUM
ap-944	74	34	1	1	NUM
ap-944	74	35	2	2	NUM
ap-944	74	36	,	,	PUNCT
ap-944	74	37	(	(	PUNCT
ap-944	74	38	8)	8)	NUM
ap-944	74	39	which	which	PRON
ap-944	74	40	in	in	ADP
ap-944	74	41	terms	term	NOUN
ap-944	74	42	of	of	ADP
ap-944	74	43	infinitesimal	infinitesimal	ADJ
ap-944	74	44	transformations	transformation	NOUN
ap-944	74	45	�	�	PROPN
ap-944	74	46	�	�	PROPN
ap-944	74	47	�	�	PROPN
ap-944	74	48	�	�	PROPN
ap-944	74	49	�	�	PROPN
ap-944	74	50	(	(	PUNCT
ap-944	74	51	)	)	PUNCT
ap-944	74	52	,	,	PUNCT
ap-944	74	53	:1	:1	PUNCT
ap-944	74	54	0i	0i	NOUN
ap-944	74	55	m	m	VERB
ap-944	74	56	(	(	PUNCT
ap-944	74	57	9	9	NUM
ap-944	74	58	)	)	PUNCT
ap-944	74	59	leads	lead	VERB
ap-944	74	60	to	to	ADP
ap-944	74	61	m	m	PROPN
ap-944	74	62	m†	m†	ADJ
ap-944	74	63	.	.	PUNCT
ap-944	75	1	�	�	PROPN
ap-944	75	2	�	�	PROPN
ap-944	75	3	�	�	PROPN
ap-944	75	4	(	(	PUNCT
ap-944	75	5	10	10	NUM
ap-944	75	6	)	)	PUNCT
ap-944	75	7	m	m	VERB
ap-944	75	8	is	be	AUX
ap-944	75	9	a	a	DET
ap-944	75	10	generator	generator	NOUN
ap-944	75	11	of	of	ADP
ap-944	75	12	the	the	DET
ap-944	75	13	poincare	poincare	PROPN
ap-944	75	14	group	group	NOUN
ap-944	75	15	in	in	ADP
ap-944	75	16	appropriate	appropriate	ADJ
ap-944	75	17	representation	representation	NOUN
ap-944	75	18	.	.	PUNCT
ap-944	76	1	instead	instead	ADV
ap-944	76	2	of	of	ADP
ap-944	76	3	explicit	explicit	ADJ
ap-944	76	4	computation	computation	NOUN
ap-944	76	5	,	,	PUNCT
ap-944	76	6	let	let	VERB
ap-944	76	7	us	we	PRON
ap-944	76	8	note	note	VERB
ap-944	76	9	that	that	SCONJ
ap-944	76	10	the	the	DET
ap-944	76	11	solution	solution	NOUN
ap-944	76	12	of	of	ADP
ap-944	76	13	the	the	DET
ap-944	76	14	preceeding	preceeding	NOUN
ap-944	76	15	relation	relation	NOUN
ap-944	76	16	can	can	AUX
ap-944	76	17	be	be	AUX
ap-944	76	18	particularly	particularly	ADV
ap-944	76	19	facilitated	facilitate	VERB
ap-944	76	20	by	by	ADP
ap-944	76	21	the	the	DET
ap-944	76	22	use	use	NOUN
ap-944	76	23	of	of	ADP
ap-944	76	24	shur‘s	shur‘	NOUN
ap-944	76	25	lemma	lemma	PROPN
ap-944	77	1	[	[	X
ap-944	77	2	15	15	NUM
ap-944	77	3	,	,	PUNCT
ap-944	77	4	16	16	NUM
ap-944	77	5	]	]	PUNCT
ap-944	77	6	.	.	PUNCT
ap-944	78	1	the	the	DET
ap-944	78	2	additional	additional	ADJ
ap-944	78	3	,	,	PUNCT
ap-944	78	4	physically	physically	ADV
ap-944	78	5	motivated	motivated	ADJ
ap-944	78	6	constraint	constraint	NOUN
ap-944	78	7	reduces	reduce	VERB
ap-944	78	8	the	the	DET
ap-944	78	9	ambiguity	ambiguity	NOUN
ap-944	78	10	to	to	ADP
ap-944	78	11	a	a	DET
ap-944	78	12	single	single	ADJ
ap-944	78	13	parameter	parameter	NOUN
ap-944	78	14	.	.	PUNCT
ap-944	79	1	thus	thus	ADV
ap-944	79	2	,	,	PUNCT
ap-944	79	3	we	we	PRON
ap-944	79	4	may	may	AUX
ap-944	79	5	write	write	VERB
ap-944	79	6	the	the	DET
ap-944	79	7	resulting	result	VERB
ap-944	79	8	scalar	scalar	ADJ
ap-944	79	9	product	product	NOUN
ap-944	79	10	of	of	ADP
ap-944	79	11	two	two	NUM
ap-944	79	12	solutions	solution	NOUN
ap-944	79	13	�	�	NOUN
ap-944	79	14	i	i	PRON
ap-944	79	15	of	of	ADP
ap-944	79	16	the	the	DET
ap-944	79	17	klein	klein	PROPN
ap-944	79	18	-	-	PUNCT
ap-944	79	19	gordon	gordon	PROPN
ap-944	79	20	equation	equation	NOUN
ap-944	79	21	in	in	ADP
ap-944	79	22	the	the	DET
ap-944	79	23	following	follow	VERB
ap-944	79	24	form	form	NOUN
ap-944	79	25	�	�	PROPN
ap-944	79	26	�	�	PROPN
ap-944	79	27	(	(	PUNCT
ap-944	79	28	,	,	PUNCT
ap-944	79	29	)	)	PUNCT
ap-944	79	30	(	(	PUNCT
ap-944	79	31	,	,	PUNCT
ap-944	79	32	)	)	PUNCT
ap-944	79	33	,	,	PUNCT
ap-944	79	34	�	�	PROPN
ap-944	79	35	,	,	PUNCT
ap-944	79	36	�	�	PROPN
ap-944	79	37	,	,	PUNCT
ap-944	79	38	�	�	PROPN
ap-944	79	39	�	�	PROPN
ap-944	79	40	�	�	PROPN
ap-944	79	41	�	�	PROPN
ap-944	79	42	�	�	PROPN
ap-944	79	43	�	�	PROPN
ap-944	79	44	�	�	PROPN
ap-944	79	45	�	�	PROPN
ap-944	79	46	�	�	PROPN
ap-944	79	47	�	�	PROPN
ap-944	79	48	�	�	PROPN
ap-944	79	49	1	1	NUM
ap-944	79	50	2	2	NUM
ap-944	79	51	1	1	NUM
ap-944	79	52	2	2	NUM
ap-944	79	53	1	1	NUM
ap-944	79	54	2	2	NUM
ap-944	79	55	1	1	NUM
ap-944	79	56	2	2	NUM
ap-944	79	57	1	1	NUM
ap-944	79	58	1	1	NUM
ap-944	79	59	2	2	NUM
ap-944	79	60	1	1	NUM
ap-944	79	61	�	�	PROPN
ap-944	79	62	�	�	PROPN
ap-944	79	63	�	�	PROPN
ap-944	79	64	�	�	PROPN
ap-944	79	65	�	�	PROPN
ap-944	79	66	�	�	PROPN
ap-944	79	67	�	�	PROPN
ap-944	79	68	�	�	PROPN
ap-944	79	69	�	�	PROPN
ap-944	79	70	�	�	PROPN
ap-944	79	71	m	m	VERB
ap-944	79	72	i	i	NOUN
ap-944	79	73	m	m	VERB
ap-944	79	74	�	�	PROPN
ap-944	79	75	�	�	PROPN
ap-944	79	76	�	�	PROPN
ap-944	79	77	�	�	PROPN
ap-944	79	78	�	�	PROPN
ap-944	79	79	�	�	PROPN
ap-944	79	80	2	2	NUM
ap-944	79	81	1	1	NUM
ap-944	79	82	2	2	NUM
ap-944	79	83	1	1	NUM
ap-944	79	84	1	1	NUM
ap-944	79	85	�	�	PROPN
ap-944	79	86	�	�	PROPN
ap-944	79	87	�	�	PROPN
ap-944	79	88	�	�	PROPN
ap-944	79	89	,	,	PUNCT
ap-944	79	90	,	,	PUNCT
ap-944	79	91	(	(	PUNCT
ap-944	79	92	,	,	PUNCT
ap-944	79	93	)	)	PUNCT
ap-944	79	94	.	.	PUNCT
ap-944	80	1	(	(	PUNCT
ap-944	80	2	11	11	NUM
ap-944	80	3	)	)	PUNCT
ap-944	80	4	the	the	DET
ap-944	80	5	system	system	NOUN
ap-944	80	6	involving	involve	VERB
ap-944	80	7	a	a	DET
ap-944	80	8	free	free	ADJ
ap-944	80	9	particle	particle	NOUN
ap-944	80	10	with	with	ADP
ap-944	80	11	spin	spin	NOUN
ap-944	80	12	-	-	PUNCT
ap-944	80	13	one	one	NUM
ap-944	80	14	can	can	AUX
ap-944	80	15	be	be	AUX
ap-944	80	16	treated	treat	VERB
ap-944	80	17	in	in	ADP
ap-944	80	18	a	a	DET
ap-944	80	19	similar	similar	ADJ
ap-944	80	20	manner	manner	NOUN
ap-944	80	21	.	.	PUNCT
ap-944	81	1	the	the	DET
ap-944	81	2	evolution	evolution	PROPN
ap-944	81	3	equation	equation	NOUN
ap-944	81	4	�	�	PROPN
ap-944	81	5	�	�	PROPN
ap-944	81	6	�	�	PROPN
ap-944	81	7	f	f	PROPN
ap-944	81	8	m	m	PROPN
ap-944	81	9	a	a	DET
ap-944	81	10	�	�	PROPN
ap-944	81	11	�	�	PROPN
ap-944	81	12	2	2	NUM
ap-944	81	13	0	0	NUM
ap-944	81	14	,	,	PUNCT
ap-944	81	15	(	(	PUNCT
ap-944	81	16	12	12	NUM
ap-944	81	17	)	)	PUNCT
ap-944	81	18	where	where	SCONJ
ap-944	81	19	f	f	PROPN
ap-944	81	20	a	a	DET
ap-944	81	21	a	a	DET
ap-944	81	22	�	�	PROPN
ap-944	81	23	�	�	PROPN
ap-944	81	24	�	�	PROPN
ap-944	81	25	�	�	PROPN
ap-944	81	26	�	�	PROPN
ap-944	81	27	�	�	PROPN
ap-944	81	28	�	�	PROPN
ap-944	81	29	and	and	CCONJ
ap-944	81	30	a	a	DET
ap-944	81	31	�	�	NOUN
ap-944	81	32	are	be	AUX
ap-944	81	33	complex	complex	ADJ
ap-944	81	34	valued	value	VERB
ap-944	81	35	functions	function	NOUN
ap-944	81	36	–	–	PUNCT
ap-944	81	37	components	component	NOUN
ap-944	81	38	of	of	ADP
ap-944	81	39	a	a	DET
ap-944	81	40	four	four	NUM
ap-944	81	41	-	-	PUNCT
ap-944	81	42	potential	potential	NOUN
ap-944	81	43	,	,	PUNCT
ap-944	81	44	can	can	AUX
ap-944	81	45	be	be	AUX
ap-944	81	46	rewritten	rewrite	VERB
ap-944	81	47	in	in	ADP
ap-944	81	48	multi	multi	ADJ
ap-944	81	49	-	-	ADJ
ap-944	81	50	component	component	ADJ
ap-944	81	51	formalism	formalism	NOUN
ap-944	81	52	as	as	ADV
ap-944	81	53	well	well	ADV
ap-944	81	54	.	.	PUNCT
ap-944	82	1	introducing	introduce	VERB
ap-944	82	2	a	a	DET
ap-944	82	3	6	6	NUM
ap-944	82	4	-	-	PUNCT
ap-944	82	5	componential	componential	ADJ
ap-944	82	6	wave	wave	NOUN
ap-944	82	7	function	function	PROPN
ap-944	82	8	�	�	PROPN
ap-944	82	9	t	t	PROPN
ap-944	82	10	tma	tma	PROPN
ap-944	82	11	ie	ie	X
ap-944	82	12	�	�	PROPN
ap-944	82	13	(	(	PUNCT
ap-944	82	14	,	,	PUNCT
ap-944	82	15	)	)	PUNCT
ap-944	82	16	�	�	PROPN
ap-944	82	17	�	�	PROPN
ap-944	82	18	we	we	PRON
ap-944	82	19	obtain	obtain	VERB
ap-944	82	20	(	(	PUNCT
ap-944	82	21	we	we	PRON
ap-944	82	22	define	define	VERB
ap-944	82	23	f	f	PROPN
ap-944	82	24	ej	ej	PROPN
ap-944	82	25	j	j	PROPN
ap-944	82	26	0	0	NUM
ap-944	82	27	�	�	PROPN
ap-944	82	28	�	�	PROPN
ap-944	82	29	for	for	ADP
ap-944	82	30	j	j	PROPN
ap-944	82	31	�	�	PROPN
ap-944	82	32	1	1	NUM
ap-944	82	33	2	2	NUM
ap-944	82	34	3	3	NUM
ap-944	82	35	,	,	PUNCT
ap-944	82	36	,	,	PUNCT
ap-944	82	37	)	)	PUNCT
ap-944	82	38	72	72	NUM
ap-944	82	39	©	©	PROPN
ap-944	82	40	czech	czech	PROPN
ap-944	82	41	technical	technical	PROPN
ap-944	82	42	university	university	PROPN
ap-944	82	43	publishing	publishing	NOUN
ap-944	82	44	house	house	NOUN
ap-944	82	45	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-944	82	46	acta	acta	PROPN
ap-944	82	47	polytechnica	polytechnica	PROPN
ap-944	82	48	vol	vol	NOUN
ap-944	82	49	.	.	PUNCT
ap-944	83	1	47	47	NUM
ap-944	83	2	no	no	INTJ
ap-944	83	3	.	.	PUNCT
ap-944	84	1	2–3/2007	2–3/2007	NUM
ap-944	85	1	i	i	PRON
ap-944	85	2	t	t	VERB
ap-944	85	3	m	m	VERB
ap-944	85	4	m	m	VERB
ap-944	85	5	m	m	VERB
ap-944	85	6	m	m	VERB
ap-944	85	7	m	m	PROPN
ap-944	85	8	�	�	PROPN
ap-944	85	9	�	�	PROPN
ap-944	85	10	�	�	PROPN
ap-944	85	11	�	�	PROPN
ap-944	85	12	�	�	PROPN
ap-944	85	13	�	�	PROPN
ap-944	85	14	�	�	PROPN
ap-944	85	15	�	�	PROPN
ap-944	85	16	�	�	PROPN
ap-944	85	17	�	�	PROPN
ap-944	85	18	�	�	PROPN
ap-944	85	19	�	�	PROPN
ap-944	85	20	�	�	PROPN
ap-944	85	21	�	�	PROPN
ap-944	85	22	�	�	PROPN
ap-944	85	23	0	0	NUM
ap-944	85	24	0	0	NUM
ap-944	85	25	2	2	NUM
ap-944	85	26	grad	grad	NOUN
ap-944	85	27	div	div	NOUN
ap-944	85	28	grad	grad	NOUN
ap-944	85	29	div	div	PROPN
ap-944	85	30	h	h	PROPN
ap-944	85	31	�	�	PROPN
ap-944	85	32	(	(	PUNCT
ap-944	85	33	13	13	NUM
ap-944	85	34	)	)	PUNCT
ap-944	85	35	which	which	PRON
ap-944	85	36	is	be	AUX
ap-944	85	37	pseudo	pseudo	NOUN
ap-944	85	38	-	-	NOUN
ap-944	85	39	hermitian	hermitian	ADJ
ap-944	85	40	with	with	ADP
ap-944	85	41	respect	respect	NOUN
ap-944	85	42	to	to	ADP
ap-944	85	43	p.	p.	NOUN
ap-944	85	44	its	its	PRON
ap-944	85	45	spectrum	spectrum	NOUN
ap-944	85	46	is	be	AUX
ap-944	85	47	real	real	ADJ
ap-944	85	48	,	,	PUNCT
ap-944	85	49	and	and	CCONJ
ap-944	85	50	the	the	DET
ap-944	85	51	existence	existence	NOUN
ap-944	85	52	of	of	ADP
ap-944	85	53	the	the	DET
ap-944	85	54	positive	positive	ADJ
ap-944	85	55	metric	metric	ADJ
ap-944	85	56	operator	operator	NOUN
ap-944	85	57	is	be	AUX
ap-944	85	58	guaranteed	guarantee	VERB
ap-944	85	59	again	again	ADV
ap-944	85	60	.	.	PUNCT
ap-944	86	1	after	after	ADP
ap-944	86	2	explicit	explicit	ADJ
ap-944	86	3	construction	construction	NOUN
ap-944	86	4	of	of	ADP
ap-944	86	5	the	the	DET
ap-944	86	6	metric	metric	ADJ
ap-944	86	7	operator	operator	NOUN
ap-944	86	8	,	,	PUNCT
ap-944	86	9	we	we	PRON
ap-944	86	10	impose	impose	VERB
ap-944	86	11	the	the	DET
ap-944	86	12	requirement	requirement	NOUN
ap-944	86	13	of	of	ADP
ap-944	86	14	relativistic	relativistic	ADJ
ap-944	86	15	invariance	invariance	NOUN
ap-944	86	16	of	of	ADP
ap-944	86	17	the	the	DET
ap-944	86	18	scalar	scalar	ADJ
ap-944	86	19	product	product	NOUN
ap-944	86	20	.	.	PUNCT
ap-944	87	1	as	as	ADP
ap-944	87	2	a	a	DET
ap-944	87	3	result	result	NOUN
ap-944	87	4	,	,	PUNCT
ap-944	87	5	we	we	PRON
ap-944	87	6	obtain	obtain	VERB
ap-944	87	7	a	a	DET
ap-944	87	8	one	one	NUM
ap-944	87	9	-	-	PUNCT
ap-944	87	10	parameter	parameter	NOUN
ap-944	87	11	family	family	NOUN
ap-944	87	12	of	of	ADP
ap-944	87	13	the	the	DET
ap-944	87	14	scalar	scalar	ADJ
ap-944	87	15	product	product	NOUN
ap-944	87	16	[	[	X
ap-944	87	17	16	16	NUM
ap-944	87	18	]	]	PUNCT
ap-944	87	19	.	.	PUNCT
ap-944	88	1	its	its	PRON
ap-944	88	2	explicit	explicit	ADJ
ap-944	88	3	form	form	NOUN
ap-944	88	4	on	on	ADP
ap-944	88	5	the	the	DET
ap-944	88	6	space	space	NOUN
ap-944	88	7	of	of	ADP
ap-944	88	8	solutions	solution	NOUN
ap-944	88	9	a	a	DET
ap-944	88	10	a	a	DET
ap-944	88	11	a	a	PRON
ap-944	88	12	jj	jj	PROPN
ap-944	88	13	j	j	PROPN
ap-944	88	14	j	j	PROPN
ap-944	88	15	t	t	PROPN
ap-944	88	16	�	�	PROPN
ap-944	88	17	�	�	PROPN
ap-944	88	18	(	(	PUNCT
ap-944	88	19	,	,	PUNCT
ap-944	88	20	)	)	PUNCT
ap-944	88	21	,	,	PUNCT
ap-944	88	22	,	,	PUNCT
ap-944	88	23	0	0	NUM
ap-944	88	24	1	1	NUM
ap-944	88	25	2	2	NUM
ap-944	88	26	�	�	NOUN
ap-944	88	27	of	of	ADP
ap-944	88	28	the	the	DET
ap-944	88	29	proca	proca	PROPN
ap-944	88	30	equations	equation	NOUN
ap-944	88	31	is	be	AUX
ap-944	88	32	�	�	PROPN
ap-944	88	33	�	�	PROPN
ap-944	88	34	�	�	PROPN
ap-944	88	35	�	�	PROPN
ap-944	88	36	(	(	PUNCT
ap-944	88	37	,	,	PUNCT
ap-944	88	38	)	)	PUNCT
ap-944	88	39	,	,	PUNCT
ap-944	88	40	,	,	PUNCT
ap-944	88	41	a	a	DET
ap-944	88	42	a	a	DET
ap-944	88	43	ia	ia	NOUN
ap-944	88	44	m	m	PROPN
ap-944	88	45	a	a	PRON
ap-944	88	46	a	a	DET
ap-944	88	47	a	a	DET
ap-944	88	48	a	a	DET
ap-944	88	49	a	a	DET
ap-944	88	50	a	a	DET
ap-944	88	51	a	a	DET
ap-944	88	52	1	1	NUM
ap-944	88	53	2	2	NUM
ap-944	88	54	1	1	NUM
ap-944	88	55	2	2	NUM
ap-944	88	56	2	2	NUM
ap-944	88	57	0	0	NUM
ap-944	88	58	1	1	NUM
ap-944	88	59	1	1	NUM
ap-944	88	60	0	0	NUM
ap-944	88	61	2	2	NUM
ap-944	88	62	1	1	NUM
ap-944	88	63	2	2	NUM
ap-944	88	64	�	�	PROPN
ap-944	88	65	�	�	PROPN
ap-944	88	66	�	�	PROPN
ap-944	88	67	�	�	PROPN
ap-944	88	68	�	�	PROPN
ap-944	88	69	�	�	PROPN
ap-944	88	70	�	�	PROPN
ap-944	88	71	�	�	PROPN
ap-944	88	72	�	�	PROPN
ap-944	88	73	�	�	PROPN
ap-944	88	74	�	�	PROPN
ap-944	88	75	�	�	PROPN
ap-944	88	76	grad	grad	PROPN
ap-944	88	77	grad	grad	PROPN
ap-944	88	78	grad	grad	PROPN
ap-944	88	79	grada	grada	PROPN
ap-944	88	80	m	m	PROPN
ap-944	88	81	i	i	PRON
ap-944	88	82	p	p	X
ap-944	89	1	h	h	NOUN
ap-944	89	2	m	m	VERB
ap-944	89	3	a	a	DET
ap-944	89	4	a	a	DET
ap-944	89	5	a	a	DET
ap-944	89	6	1	1	NUM
ap-944	89	7	0	0	NUM
ap-944	89	8	3	3	NUM
ap-944	89	9	2	2	NUM
ap-944	89	10	2	2	NUM
ap-944	89	11	3	3	NUM
ap-944	89	12	2	2	NUM
ap-944	89	13	2	2	NUM
ap-944	89	14	0	0	NUM
ap-944	89	15	1	1	NUM
ap-944	89	16	2	2	NUM
ap-944	89	17	2	2	NUM
ap-944	89	18	,	,	PUNCT
ap-944	89	19	�	�	PROPN
ap-944	89	20	�	�	PROPN
ap-944	89	21	�	�	PROPN
ap-944	89	22	(	(	PUNCT
ap-944	89	23	)	)	PUNCT
ap-944	89	24	,	,	PUNCT
ap-944	89	25	�	�	PROPN
ap-944	89	26	�	�	PROPN
ap-944	89	27	�	�	PROPN
ap-944	89	28	�	�	PROPN
ap-944	89	29	�	�	PROPN
ap-944	89	30	�	�	PROPN
ap-944	89	31	�	�	PROPN
ap-944	89	32	�	�	PROPN
ap-944	89	33	�	�	PROPN
ap-944	89	34	�	�	PROPN
ap-944	89	35	�	�	PROPN
ap-944	89	36	�	�	PROPN
ap-944	89	37	�	�	PROPN
ap-944	89	38	�	�	PROPN
ap-944	89	39	�	�	PROPN
ap-944	89	40	m	m	VERB
ap-944	90	1	i	i	PRON
ap-944	90	2	p	p	X
ap-944	90	3	h	h	NOUN
ap-944	90	4	m	m	VERB
ap-944	90	5	a	a	DET
ap-944	90	6	�	�	PROPN
ap-944	90	7	�	�	PROPN
ap-944	90	8	�	�	PROPN
ap-944	90	9	,	,	PUNCT
ap-944	90	10	�	�	PROPN
ap-944	90	11	�	�	PROPN
ap-944	90	12	�	�	PROPN
ap-944	90	13	�	�	PROPN
ap-944	90	14	�	�	PROPN
ap-944	90	15	�	�	PROPN
ap-944	90	16	�	�	PROPN
ap-944	90	17	�	�	PROPN
ap-944	90	18	�	�	PROPN
ap-944	90	19	�	�	PROPN
ap-944	90	20	�	�	PROPN
ap-944	90	21	2	2	NUM
ap-944	90	22	2	2	NUM
ap-944	90	23	22	22	NUM
ap-944	90	24	�	�	PROPN
ap-944	90	25	(	(	PUNCT
ap-944	90	26	14	14	NUM
ap-944	90	27	)	)	PUNCT
ap-944	90	28	where	where	SCONJ
ap-944	90	29	�	�	PROPN
ap-944	90	30	in	in	ADP
ap-944	90	31	(	(	PUNCT
ap-944	90	32	,	,	PUNCT
ap-944	90	33	)	)	PUNCT
ap-944	90	34	�	�	PROPN
ap-944	90	35	1	1	NUM
ap-944	90	36	1	1	NUM
ap-944	90	37	,	,	PUNCT
ap-944	90	38	.	.	PUNCT
ap-944	90	39	,	,	PUNCT
ap-944	90	40	.	.	PUNCT
ap-944	91	1	denotes	denote	NOUN
ap-944	91	2	standard	standard	ADJ
ap-944	91	3	scalar	scalar	ADJ
ap-944	91	4	product	product	NOUN
ap-944	91	5	and	and	CCONJ
ap-944	91	6	�	�	PROPN
ap-944	91	7	�	�	PROPN
ap-944	91	8	�	�	PROPN
ap-944	91	9	�	�	PROPN
ap-944	91	10	�	�	PROPN
ap-944	91	11	dp	dp	NOUN
ap-944	91	12	p	p	PROPN
ap-944	91	13	p	p	PROPN
ap-944	91	14	and	and	CCONJ
ap-944	91	15	�	�	PROPN
ap-944	91	16	h	h	NOUN
ap-944	91	17	is	be	AUX
ap-944	91	18	the	the	DET
ap-944	91	19	helicity	helicity	NOUN
ap-944	91	20	operator	operator	NOUN
ap-944	91	21	.	.	PUNCT
ap-944	92	1	formulas	formula	NOUN
ap-944	92	2	(	(	PUNCT
ap-944	92	3	11	11	NUM
ap-944	92	4	)	)	PUNCT
ap-944	92	5	and	and	CCONJ
ap-944	92	6	(	(	PUNCT
ap-944	92	7	14	14	NUM
ap-944	92	8	)	)	PUNCT
ap-944	92	9	set	set	VERB
ap-944	92	10	up	up	ADP
ap-944	92	11	the	the	DET
ap-944	92	12	basis	basis	NOUN
ap-944	92	13	for	for	ADP
ap-944	92	14	direct	direct	ADJ
ap-944	92	15	computation	computation	NOUN
ap-944	92	16	of	of	ADP
ap-944	92	17	observable	observable	ADJ
ap-944	92	18	physical	physical	ADJ
ap-944	92	19	properties	property	NOUN
ap-944	92	20	of	of	ADP
ap-944	92	21	the	the	DET
ap-944	92	22	system	system	NOUN
ap-944	92	23	of	of	ADP
ap-944	92	24	free	free	ADJ
ap-944	92	25	relativistic	relativistic	ADJ
ap-944	92	26	particles	particle	NOUN
ap-944	92	27	with	with	ADP
ap-944	92	28	spin	spin	NOUN
ap-944	92	29	zero	zero	NUM
ap-944	92	30	and	and	CCONJ
ap-944	92	31	one	one	NUM
ap-944	92	32	.	.	PUNCT
ap-944	93	1	3	3	NUM
ap-944	93	2	metric	metric	ADJ
ap-944	93	3	operator	operator	NOUN
ap-944	93	4	in	in	ADP
ap-944	93	5	thermodynamics	thermodynamic	NOUN
ap-944	93	6	in	in	ADP
ap-944	93	7	the	the	DET
ap-944	93	8	preceeding	preceeding	NOUN
ap-944	93	9	section	section	NOUN
ap-944	93	10	,	,	PUNCT
ap-944	93	11	we	we	PRON
ap-944	93	12	considered	consider	VERB
ap-944	93	13	a	a	DET
ap-944	93	14	system	system	NOUN
ap-944	93	15	which	which	PRON
ap-944	93	16	involved	involve	VERB
ap-944	93	17	a	a	DET
ap-944	93	18	single	single	ADJ
ap-944	93	19	particle	particle	NOUN
ap-944	93	20	described	describe	VERB
ap-944	93	21	by	by	ADP
ap-944	93	22	the	the	DET
ap-944	93	23	hamiltonian	hamiltonian	PROPN
ap-944	93	24	h.	h.	PROPN
ap-944	93	25	the	the	DET
ap-944	93	26	scalar	scalar	ADJ
ap-944	93	27	products	product	NOUN
ap-944	93	28	played	play	VERB
ap-944	93	29	the	the	DET
ap-944	93	30	crucial	crucial	ADJ
ap-944	93	31	role	role	NOUN
ap-944	93	32	in	in	ADP
ap-944	93	33	computing	compute	VERB
ap-944	93	34	the	the	DET
ap-944	93	35	physical	physical	ADJ
ap-944	93	36	properties	property	NOUN
ap-944	93	37	of	of	ADP
ap-944	93	38	these	these	DET
ap-944	93	39	systems	system	NOUN
ap-944	93	40	.	.	PUNCT
ap-944	94	1	the	the	DET
ap-944	94	2	situation	situation	NOUN
ap-944	94	3	is	be	AUX
ap-944	94	4	different	different	ADJ
ap-944	94	5	when	when	SCONJ
ap-944	94	6	we	we	PRON
ap-944	94	7	are	be	AUX
ap-944	94	8	interested	interested	ADJ
ap-944	94	9	in	in	ADP
ap-944	94	10	the	the	DET
ap-944	94	11	collective	collective	ADJ
ap-944	94	12	behavior	behavior	NOUN
ap-944	94	13	of	of	ADP
ap-944	94	14	identical	identical	ADJ
ap-944	94	15	systems	system	NOUN
ap-944	94	16	.	.	PUNCT
ap-944	95	1	a	a	DET
ap-944	95	2	statistical	statistical	ADJ
ap-944	95	3	description	description	NOUN
ap-944	95	4	of	of	ADP
ap-944	95	5	the	the	DET
ap-944	95	6	ensemble	ensemble	NOUN
ap-944	95	7	of	of	ADP
ap-944	95	8	quantum	quantum	NOUN
ap-944	95	9	systems	system	NOUN
ap-944	95	10	comes	come	VERB
ap-944	95	11	into	into	ADP
ap-944	95	12	play	play	NOUN
ap-944	95	13	.	.	PUNCT
ap-944	96	1	let	let	VERB
ap-944	96	2	us	we	PRON
ap-944	96	3	assume	assume	VERB
ap-944	96	4	that	that	SCONJ
ap-944	96	5	the	the	DET
ap-944	96	6	system	system	NOUN
ap-944	96	7	in	in	ADP
ap-944	96	8	equilibrium	equilibrium	NOUN
ap-944	96	9	is	be	AUX
ap-944	96	10	described	describe	VERB
ap-944	96	11	by	by	ADP
ap-944	96	12	pseudo	pseudo	NOUN
ap-944	96	13	-	-	ADJ
ap-944	96	14	hermitian	hermitian	ADJ
ap-944	96	15	hamiltonian	hamiltonian	NOUN
ap-944	96	16	with	with	ADP
ap-944	96	17	a	a	DET
ap-944	96	18	purely	purely	ADV
ap-944	96	19	real	real	ADJ
ap-944	96	20	spectrum	spectrum	NOUN
ap-944	96	21	.	.	PUNCT
ap-944	97	1	then	then	ADV
ap-944	97	2	the	the	DET
ap-944	97	3	state	state	NOUN
ap-944	97	4	of	of	ADP
ap-944	97	5	the	the	DET
ap-944	97	6	system	system	NOUN
ap-944	97	7	is	be	AUX
ap-944	97	8	described	describe	VERB
ap-944	97	9	by	by	ADP
ap-944	97	10	density	density	NOUN
ap-944	97	11	matrix	matrix	NOUN
ap-944	97	12	�	�	PROPN
ap-944	97	13	,	,	PUNCT
ap-944	97	14	which	which	PRON
ap-944	97	15	is	be	AUX
ap-944	97	16	the	the	DET
ap-944	97	17	solution	solution	NOUN
ap-944	97	18	of	of	ADP
ap-944	97	19	the	the	DET
ap-944	97	20	bloch	bloch	PROPN
ap-944	97	21	equation	equation	PROPN
ap-944	97	22	�	�	PROPN
ap-944	97	23	�	�	PROPN
ap-944	97	24	�	�	PROPN
ap-944	97	25	�	�	PROPN
ap-944	97	26	�	�	PROPN
ap-944	97	27	�	�	PROPN
ap-944	97	28	�	�	PROPN
ap-944	97	29	h	h	PROPN
ap-944	97	30	(	(	PUNCT
ap-944	97	31	15	15	NUM
ap-944	97	32	)	)	PUNCT
ap-944	97	33	with	with	ADP
ap-944	97	34	initial	initial	ADJ
ap-944	97	35	condition	condition	NOUN
ap-944	97	36	�	�	PROPN
ap-944	97	37	(	(	PUNCT
ap-944	97	38	)	)	PUNCT
ap-944	97	39	0	0	NUM
ap-944	97	40	1	1	NUM
ap-944	97	41	�	�	PROPN
ap-944	97	42	.	.	PUNCT
ap-944	98	1	the	the	DET
ap-944	98	2	parameter	parameter	PROPN
ap-944	98	3	�	�	PROPN
ap-944	98	4	equals	equal	VERB
ap-944	98	5	inverse	inverse	NOUN
ap-944	98	6	temperature	temperature	NOUN
ap-944	98	7	,	,	PUNCT
ap-944	98	8	i.e.	i.e.	X
ap-944	98	9	�	�	X
ap-944	98	10	�	�	PROPN
ap-944	98	11	1	1	NUM
ap-944	98	12	t.	t.	NOUN
ap-944	98	13	the	the	DET
ap-944	98	14	density	density	NOUN
ap-944	98	15	matrix	matrix	NOUN
ap-944	98	16	fixes	fix	VERB
ap-944	98	17	the	the	DET
ap-944	98	18	probability	probability	NOUN
ap-944	98	19	that	that	SCONJ
ap-944	98	20	we	we	PRON
ap-944	98	21	find	find	VERB
ap-944	98	22	the	the	DET
ap-944	98	23	system	system	NOUN
ap-944	98	24	in	in	ADP
ap-944	98	25	a	a	DET
ap-944	98	26	given	give	VERB
ap-944	98	27	state	state	NOUN
ap-944	98	28	.	.	PUNCT
ap-944	99	1	it	it	PRON
ap-944	99	2	provides	provide	VERB
ap-944	99	3	only	only	ADV
ap-944	99	4	statistical	statistical	ADJ
ap-944	99	5	information	information	NOUN
ap-944	99	6	on	on	ADP
ap-944	99	7	the	the	DET
ap-944	99	8	system	system	NOUN
ap-944	99	9	in	in	ADP
ap-944	99	10	this	this	DET
ap-944	99	11	sense	sense	NOUN
ap-944	99	12	.	.	PUNCT
ap-944	100	1	the	the	DET
ap-944	100	2	formal	formal	ADJ
ap-944	100	3	solution	solution	NOUN
ap-944	100	4	of	of	ADP
ap-944	100	5	the	the	DET
ap-944	100	6	bloch	bloch	PROPN
ap-944	100	7	equation	equation	NOUN
ap-944	100	8	reads	read	VERB
ap-944	100	9	�	�	PROPN
ap-944	100	10	�	�	PROPN
ap-944	100	11	�	�	PROPN
ap-944	100	12	�	�	PROPN
ap-944	100	13	e	e	NOUN
ap-944	100	14	h	h	NOUN
ap-944	100	15	and	and	CCONJ
ap-944	100	16	should	should	AUX
ap-944	100	17	be	be	AUX
ap-944	100	18	normalized	normalize	VERB
ap-944	100	19	to	to	ADP
ap-944	100	20	identity	identity	NOUN
ap-944	100	21	(	(	PUNCT
ap-944	100	22	tr	tr	NOUN
ap-944	100	23	�	�	X
ap-944	100	24	=	=	SYM
ap-944	100	25	1	1	NUM
ap-944	100	26	)	)	PUNCT
ap-944	100	27	to	to	PART
ap-944	100	28	acquire	acquire	VERB
ap-944	100	29	the	the	DET
ap-944	100	30	desired	desire	VERB
ap-944	100	31	statistical	statistical	ADJ
ap-944	100	32	properties	property	NOUN
ap-944	100	33	.	.	PUNCT
ap-944	101	1	the	the	DET
ap-944	101	2	temperature	temperature	NOUN
ap-944	101	3	dependent	dependent	ADJ
ap-944	101	4	normalization	normalization	NOUN
ap-944	101	5	factor	factor	NOUN
ap-944	101	6	z	z	PROPN
ap-944	101	7	tr	tr	PROPN
ap-944	101	8	h	h	PROPN
ap-944	101	9	�	�	PROPN
ap-944	101	10	�	�	PROPN
ap-944	101	11	exp	exp	PROPN
ap-944	101	12	[	[	PUNCT
ap-944	101	13	]	]	X
ap-944	101	14	�	�	X
ap-944	101	15	is	be	AUX
ap-944	101	16	of	of	ADP
ap-944	101	17	crucial	crucial	ADJ
ap-944	101	18	importance	importance	NOUN
ap-944	101	19	,	,	PUNCT
ap-944	101	20	as	as	SCONJ
ap-944	101	21	it	it	PRON
ap-944	101	22	allows	allow	VERB
ap-944	101	23	direct	direct	ADJ
ap-944	101	24	computation	computation	NOUN
ap-944	101	25	of	of	ADP
ap-944	101	26	thermodynamic	thermodynamic	ADJ
ap-944	101	27	quantities	quantity	NOUN
ap-944	101	28	(	(	PUNCT
ap-944	101	29	entropy	entropy	PROPN
ap-944	101	30	,	,	PUNCT
ap-944	101	31	inner	inner	ADJ
ap-944	101	32	and	and	CCONJ
ap-944	101	33	free	free	ADJ
ap-944	101	34	energy	energy	NOUN
ap-944	101	35	,	,	PUNCT
ap-944	101	36	…	…	PUNCT
ap-944	101	37	)	)	PUNCT
ap-944	101	38	and	and	CCONJ
ap-944	101	39	subsequent	subsequent	ADJ
ap-944	101	40	derivation	derivation	NOUN
ap-944	101	41	of	of	ADP
ap-944	101	42	the	the	DET
ap-944	101	43	thermodynamic	thermodynamic	ADJ
ap-944	101	44	properties	property	NOUN
ap-944	101	45	(	(	PUNCT
ap-944	101	46	state	state	NOUN
ap-944	101	47	equation	equation	NOUN
ap-944	101	48	)	)	PUNCT
ap-944	101	49	of	of	ADP
ap-944	101	50	the	the	DET
ap-944	101	51	system	system	NOUN
ap-944	101	52	.	.	PUNCT
ap-944	102	1	it	it	PRON
ap-944	102	2	is	be	AUX
ap-944	102	3	called	call	VERB
ap-944	102	4	a	a	DET
ap-944	102	5	partition	partition	NOUN
ap-944	102	6	function	function	NOUN
ap-944	102	7	.	.	PUNCT
ap-944	103	1	it	it	PRON
ap-944	103	2	has	have	AUX
ap-944	103	3	been	be	AUX
ap-944	103	4	shown	show	VERB
ap-944	103	5	[	[	PUNCT
ap-944	103	6	20	20	NUM
ap-944	103	7	]	]	PUNCT
ap-944	103	8	that	that	SCONJ
ap-944	103	9	the	the	DET
ap-944	103	10	partition	partition	NOUN
ap-944	103	11	function	function	NOUN
ap-944	103	12	is	be	AUX
ap-944	103	13	not	not	PART
ap-944	103	14	dependent	dependent	ADJ
ap-944	103	15	on	on	ADP
ap-944	103	16	the	the	DET
ap-944	103	17	explicit	explicit	ADJ
ap-944	103	18	form	form	NOUN
ap-944	103	19	of	of	ADP
ap-944	103	20	the	the	DET
ap-944	103	21	scalar	scalar	ADJ
ap-944	103	22	product	product	NOUN
ap-944	103	23	.	.	PUNCT
ap-944	104	1	this	this	PRON
ap-944	104	2	implies	imply	VERB
ap-944	104	3	that	that	SCONJ
ap-944	104	4	information	information	NOUN
ap-944	104	5	on	on	ADP
ap-944	104	6	the	the	DET
ap-944	104	7	thermodynamics	thermodynamic	NOUN
ap-944	104	8	of	of	ADP
ap-944	104	9	the	the	DET
ap-944	104	10	system	system	NOUN
ap-944	104	11	can	can	AUX
ap-944	104	12	be	be	AUX
ap-944	104	13	gained	gain	VERB
ap-944	104	14	without	without	ADP
ap-944	104	15	explicit	explicit	ADJ
ap-944	104	16	knowledge	knowledge	NOUN
ap-944	104	17	of	of	ADP
ap-944	104	18	the	the	DET
ap-944	104	19	scalar	scalar	ADJ
ap-944	104	20	product	product	NOUN
ap-944	104	21	.	.	PUNCT
ap-944	105	1	this	this	DET
ap-944	105	2	statistical	statistical	ADJ
ap-944	105	3	approach	approach	NOUN
ap-944	105	4	may	may	AUX
ap-944	105	5	represent	represent	VERB
ap-944	105	6	a	a	DET
ap-944	105	7	contribution	contribution	NOUN
ap-944	105	8	to	to	ADP
ap-944	105	9	the	the	DET
ap-944	105	10	discussion	discussion	NOUN
ap-944	105	11	on	on	ADP
ap-944	105	12	the	the	DET
ap-944	105	13	ambiguity	ambiguity	NOUN
ap-944	105	14	of	of	ADP
ap-944	105	15	the	the	DET
ap-944	105	16	scalar	scalar	ADJ
ap-944	105	17	product	product	NOUN
ap-944	105	18	,	,	PUNCT
ap-944	105	19	in	in	ADP
ap-944	105	20	the	the	DET
ap-944	105	21	sense	sense	NOUN
ap-944	105	22	that	that	SCONJ
ap-944	105	23	the	the	DET
ap-944	105	24	thermodynamics	thermodynamic	NOUN
ap-944	105	25	of	of	ADP
ap-944	105	26	the	the	DET
ap-944	105	27	system	system	NOUN
ap-944	105	28	is	be	AUX
ap-944	105	29	insensitive	insensitive	ADJ
ap-944	105	30	with	with	ADP
ap-944	105	31	respect	respect	NOUN
ap-944	105	32	to	to	ADP
ap-944	105	33	the	the	DET
ap-944	105	34	choice	choice	NOUN
ap-944	105	35	of	of	ADP
ap-944	105	36	the	the	DET
ap-944	105	37	metric	metric	ADJ
ap-944	105	38	operator	operator	NOUN
ap-944	105	39	.	.	PUNCT
ap-944	106	1	4	4	NUM
ap-944	106	2	conclusion	conclusion	NOUN
ap-944	106	3	this	this	DET
ap-944	106	4	paper	paper	NOUN
ap-944	106	5	was	be	AUX
ap-944	106	6	intended	intend	VERB
ap-944	106	7	as	as	ADP
ap-944	106	8	a	a	DET
ap-944	106	9	brief	brief	ADJ
ap-944	106	10	look	look	NOUN
ap-944	106	11	into	into	ADP
ap-944	106	12	the	the	DET
ap-944	106	13	realm	realm	NOUN
ap-944	106	14	of	of	ADP
ap-944	106	15	pseudo	pseudo	NOUN
ap-944	106	16	-	-	ADJ
ap-944	106	17	hermitian	hermitian	ADJ
ap-944	106	18	,	,	PUNCT
ap-944	106	19	or	or	CCONJ
ap-944	106	20	�	�	PROPN
ap-944	106	21	�	�	NOUN
ap-944	106	22	-symmetric	-symmetric	NOUN
ap-944	106	23	,	,	PUNCT
ap-944	106	24	quantum	quantum	NOUN
ap-944	106	25	mechanics	mechanic	NOUN
ap-944	106	26	.	.	PUNCT
ap-944	107	1	to	to	PART
ap-944	107	2	satisfy	satisfy	VERB
ap-944	107	3	the	the	DET
ap-944	107	4	need	need	NOUN
ap-944	107	5	for	for	ADP
ap-944	107	6	more	more	ADV
ap-944	107	7	detailed	detailed	ADJ
ap-944	107	8	information	information	NOUN
ap-944	107	9	,	,	PUNCT
ap-944	107	10	we	we	PRON
ap-944	107	11	refer	refer	VERB
ap-944	107	12	to	to	ADP
ap-944	107	13	the	the	DET
ap-944	107	14	review	review	NOUN
ap-944	107	15	article	article	NOUN
ap-944	107	16	[	[	X
ap-944	107	17	18	18	NUM
ap-944	107	18	]	]	PUNCT
ap-944	107	19	and	and	CCONJ
ap-944	107	20	special	special	ADJ
ap-944	107	21	issues	issue	NOUN
ap-944	107	22	of	of	ADP
ap-944	107	23	czech	czech	PROPN
ap-944	107	24	.	.	PUNCT
ap-944	108	1	j.	j.	PROPN
ap-944	108	2	phys	phys	PROPN
ap-944	108	3	.	.	PUNCT
ap-944	109	1	and	and	CCONJ
ap-944	109	2	j.	j.	PROPN
ap-944	109	3	phys	phys	PROPN
ap-944	109	4	.	.	PUNCT
ap-944	110	1	a	a	DET
ap-944	110	2	dedicated	dedicate	VERB
ap-944	110	3	to	to	ADP
ap-944	110	4	�	�	NOUN
ap-944	110	5	�	�	NOUN
ap-944	110	6	-symmetric	-symmetric	NOUN
ap-944	110	7	(	(	PUNCT
ap-944	110	8	pseudo	pseudo	NOUN
ap-944	110	9	-	-	ADJ
ap-944	110	10	hermitian	hermitian	ADJ
ap-944	110	11	)	)	PUNCT
ap-944	110	12	quantum	quantum	NOUN
ap-944	110	13	mechanics	mechanic	NOUN
ap-944	110	14	[	[	X
ap-944	110	15	7–11	7–11	NOUN
ap-944	110	16	]	]	PUNCT
ap-944	110	17	,	,	PUNCT
ap-944	110	18	and	and	CCONJ
ap-944	110	19	to	to	ADP
ap-944	110	20	the	the	DET
ap-944	110	21	references	reference	NOUN
ap-944	110	22	in	in	ADP
ap-944	110	23	these	these	DET
ap-944	110	24	publications	publication	NOUN
ap-944	110	25	.	.	PUNCT
ap-944	111	1	in	in	ADP
ap-944	111	2	our	our	PRON
ap-944	111	3	presentation	presentation	NOUN
ap-944	111	4	,	,	PUNCT
ap-944	111	5	we	we	PRON
ap-944	111	6	have	have	AUX
ap-944	111	7	tried	try	VERB
ap-944	111	8	to	to	PART
ap-944	111	9	illustrate	illustrate	VERB
ap-944	111	10	using	use	VERB
ap-944	111	11	examples	example	NOUN
ap-944	111	12	how	how	SCONJ
ap-944	111	13	the	the	DET
ap-944	111	14	formalism	formalism	NOUN
ap-944	111	15	of	of	ADP
ap-944	111	16	pseudo	pseudo	NOUN
ap-944	111	17	-	-	ADJ
ap-944	111	18	hermitian	hermitian	ADJ
ap-944	111	19	quantum	quantum	ADJ
ap-944	111	20	mechanics	mechanic	NOUN
ap-944	111	21	can	can	AUX
ap-944	111	22	be	be	AUX
ap-944	111	23	used	use	VERB
ap-944	111	24	in	in	ADP
ap-944	111	25	the	the	DET
ap-944	111	26	description	description	NOUN
ap-944	111	27	of	of	ADP
ap-944	111	28	a	a	DET
ap-944	111	29	physical	physical	ADJ
ap-944	111	30	system	system	NOUN
ap-944	111	31	.	.	PUNCT
ap-944	112	1	particularly	particularly	ADV
ap-944	112	2	,	,	PUNCT
ap-944	112	3	we	we	PRON
ap-944	112	4	have	have	AUX
ap-944	112	5	illustrated	illustrate	VERB
ap-944	112	6	how	how	SCONJ
ap-944	112	7	this	this	PRON
ap-944	112	8	contributes	contribute	VERB
ap-944	112	9	to	to	ADP
ap-944	112	10	a	a	DET
ap-944	112	11	consistent	consistent	ADJ
ap-944	112	12	approach	approach	NOUN
ap-944	112	13	to	to	ADP
ap-944	112	14	the	the	DET
ap-944	112	15	relativistic	relativistic	ADJ
ap-944	112	16	quantum	quantum	ADJ
ap-944	112	17	mechanics	mechanic	NOUN
ap-944	112	18	of	of	ADP
ap-944	112	19	integer	integer	NOUN
ap-944	112	20	-	-	PUNCT
ap-944	112	21	spin	spin	NOUN
ap-944	112	22	systems	system	NOUN
ap-944	112	23	.	.	PUNCT
ap-944	113	1	pseudo	pseudo	NOUN
ap-944	113	2	-	-	ADJ
ap-944	113	3	hermitian	hermitian	ADJ
ap-944	113	4	operators	operator	NOUN
ap-944	113	5	can	can	AUX
ap-944	113	6	be	be	AUX
ap-944	113	7	used	use	VERB
ap-944	113	8	in	in	ADP
ap-944	113	9	a	a	DET
ap-944	113	10	description	description	NOUN
ap-944	113	11	of	of	ADP
ap-944	113	12	physical	physical	ADJ
ap-944	113	13	systems	system	NOUN
ap-944	113	14	.	.	PUNCT
ap-944	114	1	however	however	ADV
ap-944	114	2	,	,	PUNCT
ap-944	114	3	their	their	PRON
ap-944	114	4	use	use	NOUN
ap-944	114	5	requires	require	VERB
ap-944	114	6	a	a	DET
ap-944	114	7	specific	specific	ADJ
ap-944	114	8	approach	approach	NOUN
ap-944	114	9	.	.	PUNCT
ap-944	115	1	one	one	PRON
ap-944	115	2	has	have	VERB
ap-944	115	3	to	to	PART
ap-944	115	4	be	be	AUX
ap-944	115	5	careful	careful	ADJ
ap-944	115	6	about	about	ADP
ap-944	115	7	the	the	DET
ap-944	115	8	spectrum	spectrum	NOUN
ap-944	115	9	of	of	ADP
ap-944	115	10	the	the	DET
ap-944	115	11	operator	operator	NOUN
ap-944	115	12	–	–	PUNCT
ap-944	115	13	only	only	ADV
ap-944	115	14	operators	operator	NOUN
ap-944	115	15	with	with	ADP
ap-944	115	16	a	a	DET
ap-944	115	17	real	real	ADJ
ap-944	115	18	spectrum	spectrum	NOUN
ap-944	115	19	are	be	AUX
ap-944	115	20	physically	physically	ADV
ap-944	115	21	admissible	admissible	ADJ
ap-944	115	22	.	.	PUNCT
ap-944	116	1	derivation	derivation	NOUN
ap-944	116	2	of	of	ADP
ap-944	116	3	the	the	DET
ap-944	116	4	physical	physical	ADJ
ap-944	116	5	properties	property	NOUN
ap-944	116	6	of	of	ADP
ap-944	116	7	the	the	DET
ap-944	116	8	system	system	NOUN
ap-944	116	9	requires	require	VERB
ap-944	116	10	the	the	DET
ap-944	116	11	construction	construction	NOUN
ap-944	116	12	of	of	ADP
ap-944	116	13	the	the	DET
ap-944	116	14	new	new	ADJ
ap-944	116	15	scalar	scalar	ADJ
ap-944	116	16	product	product	NOUN
ap-944	116	17	.	.	PUNCT
ap-944	117	1	the	the	DET
ap-944	117	2	construction	construction	NOUN
ap-944	117	3	depends	depend	VERB
ap-944	117	4	on	on	ADP
ap-944	117	5	the	the	DET
ap-944	117	6	hamiltonian	hamiltonian	NOUN
ap-944	117	7	,	,	PUNCT
ap-944	117	8	so	so	SCONJ
ap-944	117	9	that	that	SCONJ
ap-944	117	10	the	the	DET
ap-944	117	11	scalar	scalar	ADJ
ap-944	117	12	product	product	NOUN
ap-944	117	13	is	be	AUX
ap-944	117	14	dynamically	dynamically	ADV
ap-944	117	15	generated	generate	VERB
ap-944	117	16	in	in	ADP
ap-944	117	17	this	this	DET
ap-944	117	18	sense	sense	NOUN
ap-944	117	19	.	.	PUNCT
ap-944	118	1	as	as	SCONJ
ap-944	118	2	we	we	PRON
ap-944	118	3	have	have	AUX
ap-944	118	4	remarked	remark	VERB
ap-944	118	5	,	,	PUNCT
ap-944	118	6	the	the	DET
ap-944	118	7	study	study	NOUN
ap-944	118	8	of	of	ADP
ap-944	118	9	thermodynamic	thermodynamic	ADJ
ap-944	118	10	properties	property	NOUN
ap-944	118	11	of	of	ADP
ap-944	118	12	the	the	DET
ap-944	118	13	system	system	NOUN
ap-944	118	14	described	describe	VERB
ap-944	118	15	by	by	ADP
ap-944	118	16	pseudo	pseudo	NOUN
ap-944	118	17	-	-	ADJ
ap-944	118	18	hermitian	hermitian	ADJ
ap-944	118	19	hamiltonians	hamiltonian	NOUN
ap-944	118	20	represents	represent	VERB
ap-944	118	21	a	a	DET
ap-944	118	22	new	new	ADJ
ap-944	118	23	stream	stream	NOUN
ap-944	118	24	in	in	ADP
ap-944	118	25	the	the	DET
ap-944	118	26	field	field	NOUN
ap-944	118	27	,	,	PUNCT
ap-944	118	28	and	and	CCONJ
ap-944	118	29	may	may	AUX
ap-944	118	30	provide	provide	VERB
ap-944	118	31	an	an	DET
ap-944	118	32	insight	insight	NOUN
ap-944	118	33	into	into	ADP
ap-944	118	34	the	the	DET
ap-944	118	35	physical	physical	ADJ
ap-944	118	36	properties	property	NOUN
ap-944	118	37	of	of	ADP
ap-944	118	38	these	these	DET
ap-944	118	39	systems	system	NOUN
ap-944	118	40	.	.	PUNCT
ap-944	119	1	acknowledgment	acknowledgment	NOUN
ap-944	119	2	the	the	DET
ap-944	119	3	author	author	NOUN
ap-944	119	4	would	would	AUX
ap-944	119	5	like	like	VERB
ap-944	119	6	to	to	PART
ap-944	119	7	thank	thank	VERB
ap-944	119	8	the	the	DET
ap-944	119	9	universidad	universidad	PROPN
ap-944	119	10	de	de	PROPN
ap-944	119	11	santiago	santiago	PROPN
ap-944	119	12	de	de	X
ap-944	119	13	chile	chile	PROPN
ap-944	119	14	for	for	ADP
ap-944	119	15	its	its	PRON
ap-944	119	16	kind	kind	ADJ
ap-944	119	17	hospitality	hospitality	NOUN
ap-944	119	18	.	.	PUNCT
ap-944	120	1	the	the	DET
ap-944	120	2	work	work	NOUN
ap-944	120	3	was	be	AUX
ap-944	120	4	partially	partially	ADV
ap-944	120	5	supported	support	VERB
ap-944	120	6	project	project	NOUN
ap-944	120	7	no	no	NOUN
ap-944	121	1	.	.	PUNCT
ap-944	121	2	lc06002	lc06002	PROPN
ap-944	121	3	and	and	CCONJ
ap-944	121	4	by	by	ADP
ap-944	121	5	gačr	gačr	PROPN
ap-944	121	6	grant	grant	PROPN
ap-944	121	7	nr	nr	PROPN
ap-944	121	8	.	.	PUNCT
ap-944	121	9	202/07/1307	202/07/1307	NUM
ap-944	121	10	.	.	PUNCT
ap-944	122	1	references	reference	NOUN
ap-944	122	2	[	[	X
ap-944	122	3	1	1	NUM
ap-944	122	4	]	]	X
ap-944	122	5	scholz	scholz	NOUN
ap-944	122	6	,	,	PUNCT
ap-944	122	7	f.	f.	PROPN
ap-944	122	8	g.	g.	PROPN
ap-944	122	9	,	,	PUNCT
ap-944	122	10	geyer	geyer	PROPN
ap-944	122	11	,	,	PUNCT
ap-944	122	12	h.	h.	PROPN
ap-944	122	13	b.	b.	PROPN
ap-944	122	14	,	,	PUNCT
ap-944	122	15	hahne	hahne	PROPN
ap-944	122	16	,	,	PUNCT
ap-944	122	17	f.	f.	PROPN
ap-944	122	18	j.	j.	PROPN
ap-944	122	19	:	:	PUNCT
ap-944	122	20	quasi	quasi	ADJ
ap-944	122	21	-	-	ADJ
ap-944	122	22	hermitian	hermitian	ADJ
ap-944	122	23	operators	operator	NOUN
ap-944	122	24	in	in	ADP
ap-944	122	25	quantum	quantum	ADJ
ap-944	122	26	mechanics	mechanic	NOUN
ap-944	122	27	and	and	CCONJ
ap-944	122	28	the	the	DET
ap-944	122	29	variational	variational	ADJ
ap-944	122	30	principle	principle	NOUN
ap-944	122	31	,	,	PUNCT
ap-944	122	32	ann	ann	PROPN
ap-944	122	33	.	.	PUNCT
ap-944	123	1	phys	phys	PROPN
ap-944	123	2	.	.	PUNCT
ap-944	124	1	vol	vol	NOUN
ap-944	124	2	.	.	PROPN
ap-944	125	1	213	213	NUM
ap-944	125	2	(	(	PUNCT
ap-944	125	3	1992	1992	NUM
ap-944	125	4	)	)	PUNCT
ap-944	125	5	,	,	PUNCT
ap-944	125	6	p.	p.	NOUN
ap-944	125	7	74	74	NUM
ap-944	125	8	.	.	PUNCT
ap-944	126	1	[	[	X
ap-944	126	2	2	2	NUM
ap-944	126	3	]	]	X
ap-944	126	4	bender	bender	NOUN
ap-944	126	5	,	,	PUNCT
ap-944	126	6	c.	c.	PROPN
ap-944	126	7	m.	m.	PROPN
ap-944	126	8	,	,	PUNCT
ap-944	126	9	boettcher	boettcher	PROPN
ap-944	126	10	,	,	PUNCT
ap-944	126	11	s.	s.	PROPN
ap-944	126	12	:	:	PUNCT
ap-944	126	13	real	real	ADJ
ap-944	126	14	spectra	spectra	NOUN
ap-944	126	15	in	in	ADP
ap-944	126	16	non	non	ADJ
ap-944	126	17	-	-	ADJ
ap-944	126	18	hermitian	hermitian	ADJ
ap-944	126	19	hamiltonians	hamiltonian	NOUN
ap-944	126	20	having	have	VERB
ap-944	126	21	�	�	PROPN
ap-944	126	22	�	�	PROPN
ap-944	126	23	symmetry	symmetry	NOUN
ap-944	126	24	,	,	PUNCT
ap-944	126	25	phys	phy	NOUN
ap-944	126	26	.	.	PUNCT
ap-944	127	1	rev	rev	PROPN
ap-944	127	2	.	.	PROPN
ap-944	127	3	lett	lett	PROPN
ap-944	127	4	.	.	PUNCT
ap-944	128	1	vol	vol	NOUN
ap-944	128	2	.	.	PROPN
ap-944	129	1	80	80	NUM
ap-944	129	2	(	(	PUNCT
ap-944	129	3	1998	1998	NUM
ap-944	129	4	)	)	PUNCT
ap-944	129	5	,	,	PUNCT
ap-944	129	6	p.	p.	NOUN
ap-944	129	7	5243	5243	NUM
ap-944	129	8	.	.	PUNCT
ap-944	130	1	[	[	X
ap-944	130	2	3	3	NUM
ap-944	130	3	]	]	X
ap-944	130	4	bender	bender	NOUN
ap-944	130	5	,	,	PUNCT
ap-944	130	6	c.	c.	PROPN
ap-944	130	7	m.	m.	PROPN
ap-944	130	8	,	,	PUNCT
ap-944	130	9	boettcher	boettcher	PROPN
ap-944	130	10	,	,	PUNCT
ap-944	130	11	s.	s.	PROPN
ap-944	130	12	,	,	PUNCT
ap-944	130	13	meisinger	meisinger	NOUN
ap-944	130	14	,	,	PUNCT
ap-944	130	15	p.	p.	NOUN
ap-944	130	16	:	:	PUNCT
ap-944	130	17	�	�	PROPN
ap-944	130	18	�	�	NOUN
ap-944	130	19	-symmetric	-symmetric	ADJ
ap-944	130	20	quantum	quantum	NOUN
ap-944	130	21	mechanics	mechanic	NOUN
ap-944	130	22	,	,	PUNCT
ap-944	130	23	j.	j.	PROPN
ap-944	130	24	math	math	PROPN
ap-944	130	25	.	.	PUNCT
ap-944	131	1	phys	phy	NOUN
ap-944	131	2	.	.	PUNCT
ap-944	132	1	vol	vol	NOUN
ap-944	132	2	.	.	PROPN
ap-944	133	1	40	40	NUM
ap-944	133	2	(	(	PUNCT
ap-944	133	3	1999	1999	NUM
ap-944	133	4	)	)	PUNCT
ap-944	133	5	,	,	PUNCT
ap-944	133	6	p.	p.	NOUN
ap-944	133	7	2201	2201	NUM
ap-944	133	8	.	.	PUNCT
ap-944	134	1	[	[	X
ap-944	134	2	4	4	NUM
ap-944	134	3	]	]	X
ap-944	134	4	dorey	dorey	PROPN
ap-944	134	5	,	,	PUNCT
ap-944	134	6	p.	p.	NOUN
ap-944	134	7	,	,	PUNCT
ap-944	134	8	dunning	dunning	NOUN
ap-944	134	9	,	,	PUNCT
ap-944	134	10	c.	c.	NOUN
ap-944	134	11	,	,	PUNCT
ap-944	134	12	tateo	tateo	NOUN
ap-944	134	13	,	,	PUNCT
ap-944	134	14	r.	r.	PROPN
ap-944	134	15	:	:	PUNCT
ap-944	134	16	spectral	spectral	ADJ
ap-944	134	17	equivalences	equivalence	NOUN
ap-944	134	18	,	,	PUNCT
ap-944	134	19	bethe	bethe	ADJ
ap-944	134	20	ansatz	ansatz	ADJ
ap-944	134	21	equations	equation	NOUN
ap-944	134	22	and	and	CCONJ
ap-944	134	23	reality	reality	NOUN
ap-944	134	24	properties	property	NOUN
ap-944	134	25	in	in	ADP
ap-944	134	26	pt	pt	ADJ
ap-944	134	27	-	-	ADJ
ap-944	134	28	symmetric	symmetric	ADJ
ap-944	134	29	quantum	quantum	NOUN
ap-944	134	30	mechanics	mechanic	NOUN
ap-944	134	31	,	,	PUNCT
ap-944	134	32	j.	j.	PROPN
ap-944	134	33	phys	phys	PROPN
ap-944	134	34	.	.	PUNCT
ap-944	135	1	a	a	DET
ap-944	135	2	,	,	PUNCT
ap-944	135	3	vol	vol	NOUN
ap-944	135	4	.	.	PUNCT
ap-944	136	1	34	34	NUM
ap-944	136	2	(	(	PUNCT
ap-944	136	3	2001	2001	NUM
ap-944	136	4	)	)	PUNCT
ap-944	136	5	,	,	PUNCT
ap-944	137	1	p.	p.	NOUN
ap-944	137	2	5679	5679	NUM
ap-944	137	3	.	.	PUNCT
ap-944	138	1	[	[	X
ap-944	138	2	5	5	X
ap-944	138	3	]	]	X
ap-944	138	4	mostafazadeh	mostafazadeh	PROPN
ap-944	138	5	a.	a.	NOUN
ap-944	138	6	:	:	PUNCT
ap-944	138	7	pseudo	pseudo	NOUN
ap-944	138	8	-	-	NOUN
ap-944	138	9	hermiticity	hermiticity	NOUN
ap-944	138	10	versus	versus	ADP
ap-944	138	11	�	�	PROPN
ap-944	138	12	�	�	PROPN
ap-944	138	13	symmetry	symmetry	NOUN
ap-944	138	14	:	:	PUNCT
ap-944	138	15	the	the	DET
ap-944	138	16	necessary	necessary	ADJ
ap-944	138	17	condition	condition	NOUN
ap-944	138	18	for	for	ADP
ap-944	138	19	the	the	DET
ap-944	138	20	reality	reality	NOUN
ap-944	138	21	of	of	ADP
ap-944	138	22	the	the	DET
ap-944	138	23	spectrum	spectrum	NOUN
ap-944	138	24	of	of	ADP
ap-944	138	25	a	a	DET
ap-944	138	26	non	non	ADJ
ap-944	138	27	-	-	ADJ
ap-944	138	28	hermitian	hermitian	ADJ
ap-944	138	29	hamiltonian	hamiltonian	NOUN
ap-944	138	30	,	,	PUNCT
ap-944	138	31	j.	j.	PROPN
ap-944	138	32	math	math	PROPN
ap-944	138	33	.	.	PUNCT
ap-944	139	1	phys	phy	NOUN
ap-944	139	2	.	.	PUNCT
ap-944	140	1	vol	vol	NOUN
ap-944	140	2	.	.	PUNCT
ap-944	141	1	43	43	NUM
ap-944	141	2	(	(	PUNCT
ap-944	141	3	2002	2002	NUM
ap-944	141	4	)	)	PUNCT
ap-944	141	5	,	,	PUNCT
ap-944	142	1	p.	p.	NOUN
ap-944	142	2	205	205	NUM
ap-944	142	3	.	.	PUNCT
ap-944	143	1	©	©	PROPN
ap-944	143	2	czech	czech	PROPN
ap-944	143	3	technical	technical	PROPN
ap-944	143	4	university	university	PROPN
ap-944	143	5	publishing	publishing	NOUN
ap-944	143	6	house	house	NOUN
ap-944	143	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-944	143	8	73	73	NUM
ap-944	143	9	acta	acta	PROPN
ap-944	143	10	polytechnica	polytechnica	PROPN
ap-944	143	11	vol	vol	NOUN
ap-944	143	12	.	.	PUNCT
ap-944	144	1	47	47	NUM
ap-944	144	2	no	no	INTJ
ap-944	144	3	.	.	PUNCT
ap-944	145	1	2–3/2007	2–3/2007	NUM
ap-944	146	1	[	[	X
ap-944	146	2	6	6	NUM
ap-944	146	3	]	]	X
ap-944	146	4	mostafazadeh	mostafazadeh	PROPN
ap-944	146	5	a.	a.	NOUN
ap-944	146	6	:	:	PUNCT
ap-944	146	7	pseudo	pseudo	NOUN
ap-944	146	8	-	-	NOUN
ap-944	146	9	hermiticity	hermiticity	NOUN
ap-944	146	10	versus	versus	ADP
ap-944	146	11	�	�	PROPN
ap-944	146	12	�	�	PROPN
ap-944	146	13	symmetry	symmetry	PROPN
ap-944	146	14	ii	ii	PROPN
ap-944	146	15	:	:	PUNCT
ap-944	146	16	a	a	DET
ap-944	146	17	complete	complete	ADJ
ap-944	146	18	characterization	characterization	NOUN
ap-944	146	19	of	of	ADP
ap-944	146	20	non	non	ADJ
ap-944	146	21	-	-	ADJ
ap-944	146	22	hermitian	hermitian	ADJ
ap-944	146	23	hamiltonians	hamiltonian	NOUN
ap-944	146	24	with	with	ADP
ap-944	146	25	a	a	DET
ap-944	146	26	real	real	ADJ
ap-944	146	27	spectrum	spectrum	NOUN
ap-944	146	28	,	,	PUNCT
ap-944	146	29	j.	j.	PROPN
ap-944	146	30	math	math	PROPN
ap-944	146	31	.	.	PUNCT
ap-944	147	1	phys	phy	NOUN
ap-944	147	2	.	.	PUNCT
ap-944	148	1	vol	vol	NOUN
ap-944	148	2	.	.	PUNCT
ap-944	149	1	43	43	NUM
ap-944	149	2	(	(	PUNCT
ap-944	149	3	2002	2002	NUM
ap-944	149	4	)	)	PUNCT
ap-944	149	5	,	,	PUNCT
ap-944	149	6	p.	p.	NOUN
ap-944	149	7	2814	2814	NUM
ap-944	149	8	.	.	PUNCT
ap-944	150	1	[	[	X
ap-944	150	2	7	7	NUM
ap-944	150	3	]	]	SYM
ap-944	150	4	proc	proc	NOUN
ap-944	150	5	.	.	PUNCT
ap-944	151	1	1st	1st	ADJ
ap-944	151	2	int	int	NOUN
ap-944	151	3	.	.	PUNCT
ap-944	152	1	workshop	workshop	NOUN
ap-944	152	2	on	on	ADP
ap-944	152	3	pseudo	pseudo	NOUN
ap-944	152	4	-	-	ADJ
ap-944	152	5	hermitian	hermitian	ADJ
ap-944	152	6	hamiltonians	hamiltonian	NOUN
ap-944	152	7	in	in	ADP
ap-944	152	8	quantum	quantum	ADJ
ap-944	152	9	physics	physics	NOUN
ap-944	152	10	(	(	PUNCT
ap-944	152	11	editor	editor	NOUN
ap-944	152	12	:	:	PUNCT
ap-944	152	13	znojil	znojil	NOUN
ap-944	152	14	m.	m.	NOUN
ap-944	152	15	)	)	PUNCT
ap-944	152	16	,	,	PUNCT
ap-944	152	17	czech	czech	PROPN
ap-944	152	18	.	.	PUNCT
ap-944	153	1	j.	j.	PROPN
ap-944	153	2	phys	phys	PROPN
ap-944	153	3	.	.	PUNCT
ap-944	154	1	vol	vol	NOUN
ap-944	154	2	.	.	PUNCT
ap-944	155	1	54	54	NUM
ap-944	155	2	(	(	PUNCT
ap-944	155	3	2004	2004	NUM
ap-944	155	4	)	)	PUNCT
ap-944	155	5	,	,	PUNCT
ap-944	156	1	p.	p.	NOUN
ap-944	156	2	1–156	1–156	NUM
ap-944	156	3	.	.	PUNCT
ap-944	157	1	[	[	X
ap-944	157	2	8	8	NUM
ap-944	157	3	]	]	SYM
ap-944	157	4	proc	proc	NOUN
ap-944	157	5	.	.	PUNCT
ap-944	158	1	2nd	2nd	ADJ
ap-944	158	2	int	int	NOUN
ap-944	158	3	.	.	PUNCT
ap-944	159	1	workshop	workshop	NOUN
ap-944	159	2	on	on	ADP
ap-944	159	3	pseudo	pseudo	NOUN
ap-944	159	4	-	-	ADJ
ap-944	159	5	hermitian	hermitian	ADJ
ap-944	159	6	hamiltonians	hamiltonian	NOUN
ap-944	159	7	in	in	ADP
ap-944	159	8	quantum	quantum	ADJ
ap-944	159	9	physics	physics	NOUN
ap-944	159	10	(	(	PUNCT
ap-944	159	11	editor	editor	NOUN
ap-944	159	12	:	:	PUNCT
ap-944	159	13	znojil	znojil	NOUN
ap-944	159	14	m.	m.	NOUN
ap-944	159	15	)	)	PUNCT
ap-944	159	16	,	,	PUNCT
ap-944	159	17	czech	czech	PROPN
ap-944	159	18	.	.	PUNCT
ap-944	160	1	j.	j.	PROPN
ap-944	160	2	phys	phys	PROPN
ap-944	160	3	.	.	PUNCT
ap-944	161	1	vol	vol	NOUN
ap-944	161	2	.	.	PUNCT
ap-944	162	1	54	54	NUM
ap-944	162	2	(	(	PUNCT
ap-944	162	3	2004	2004	NUM
ap-944	162	4	)	)	PUNCT
ap-944	162	5	,	,	PUNCT
ap-944	162	6	p.	p.	NOUN
ap-944	162	7	1005–1148	1005–1148	NUM
ap-944	162	8	.	.	PUNCT
ap-944	163	1	[	[	X
ap-944	163	2	9	9	NUM
ap-944	163	3	]	]	SYM
ap-944	163	4	proc	proc	NOUN
ap-944	163	5	.	.	PUNCT
ap-944	164	1	3rd	3rd	ADJ
ap-944	164	2	int	int	NOUN
ap-944	164	3	.	.	PUNCT
ap-944	165	1	workshop	workshop	NOUN
ap-944	165	2	on	on	ADP
ap-944	165	3	pseudo	pseudo	NOUN
ap-944	165	4	-	-	ADJ
ap-944	165	5	hermitian	hermitian	ADJ
ap-944	165	6	hamiltonians	hamiltonian	NOUN
ap-944	165	7	in	in	ADP
ap-944	165	8	quantum	quantum	ADJ
ap-944	165	9	physics	physics	NOUN
ap-944	165	10	(	(	PUNCT
ap-944	165	11	editor	editor	NOUN
ap-944	165	12	:	:	PUNCT
ap-944	165	13	znojil	znojil	NOUN
ap-944	165	14	m.	m.	NOUN
ap-944	165	15	)	)	PUNCT
ap-944	165	16	,	,	PUNCT
ap-944	165	17	czech	czech	PROPN
ap-944	165	18	.	.	PUNCT
ap-944	166	1	j.	j.	PROPN
ap-944	166	2	phys	phys	PROPN
ap-944	166	3	.	.	PUNCT
ap-944	167	1	vol	vol	NOUN
ap-944	167	2	.	.	PUNCT
ap-944	168	1	55	55	NUM
ap-944	168	2	(	(	PUNCT
ap-944	168	3	2005	2005	NUM
ap-944	168	4	)	)	PUNCT
ap-944	168	5	,	,	PUNCT
ap-944	169	1	p.	p.	NOUN
ap-944	169	2	1045–1192	1045–1192	NUM
ap-944	169	3	.	.	PUNCT
ap-944	170	1	[	[	X
ap-944	170	2	10	10	NUM
ap-944	170	3	]	]	X
ap-944	170	4	special	special	ADJ
ap-944	170	5	issue	issue	NOUN
ap-944	170	6	devoted	devote	VERB
ap-944	170	7	to	to	ADP
ap-944	170	8	the	the	DET
ap-944	170	9	subject	subject	NOUN
ap-944	170	10	of	of	ADP
ap-944	170	11	pseudo	pseudo	NOUN
ap-944	170	12	-	-	ADJ
ap-944	170	13	hermitian	hermitian	ADJ
ap-944	170	14	hamiltonians	hamiltonian	NOUN
ap-944	170	15	in	in	ADP
ap-944	170	16	quantum	quantum	ADJ
ap-944	170	17	physics	physics	NOUN
ap-944	170	18	(	(	PUNCT
ap-944	170	19	editor	editor	NOUN
ap-944	170	20	:	:	PUNCT
ap-944	170	21	znojil	znojil	NOUN
ap-944	170	22	m.	m.	NOUN
ap-944	170	23	)	)	PUNCT
ap-944	170	24	czech	czech	PROPN
ap-944	170	25	.	.	PUNCT
ap-944	171	1	j.	j.	PROPN
ap-944	171	2	phys	phys	PROPN
ap-944	171	3	.	.	PUNCT
ap-944	172	1	vol	vol	NOUN
ap-944	172	2	.	.	PUNCT
ap-944	173	1	56	56	NUM
ap-944	173	2	(	(	PUNCT
ap-944	173	3	2006	2006	NUM
ap-944	173	4	)	)	PUNCT
ap-944	173	5	,	,	PUNCT
ap-944	174	1	p.	p.	NOUN
ap-944	174	2	885–1064	885–1064	NUM
ap-944	174	3	.	.	PUNCT
ap-944	175	1	[	[	X
ap-944	175	2	11	11	NUM
ap-944	175	3	]	]	X
ap-944	175	4	special	special	ADJ
ap-944	175	5	issue	issue	NOUN
ap-944	175	6	dedicated	dedicate	VERB
ap-944	175	7	to	to	ADP
ap-944	175	8	the	the	DET
ap-944	175	9	physics	physics	NOUN
ap-944	175	10	of	of	ADP
ap-944	175	11	non	non	ADJ
ap-944	175	12	-	-	ADJ
ap-944	175	13	hermitian	hermitian	ADJ
ap-944	175	14	operators	operator	NOUN
ap-944	175	15	(	(	PUNCT
ap-944	175	16	editors	editor	NOUN
ap-944	175	17	:	:	PUNCT
ap-944	175	18	h.	h.	PROPN
ap-944	175	19	b.	b.	PROPN
ap-944	175	20	geyer	geyer	PROPN
ap-944	175	21	,	,	PUNCT
ap-944	175	22	d.	d.	PROPN
ap-944	175	23	heiss	heiss	PROPN
ap-944	175	24	,	,	PUNCT
ap-944	175	25	m.	m.	NOUN
ap-944	175	26	znojil	znojil	PROPN
ap-944	175	27	)	)	PUNCT
ap-944	175	28	,	,	PUNCT
ap-944	175	29	j.	j.	PROPN
ap-944	175	30	phys	phys	PROPN
ap-944	175	31	.	.	PUNCT
ap-944	176	1	a	a	DET
ap-944	176	2	,	,	PUNCT
ap-944	176	3	vol	vol	NOUN
ap-944	176	4	.	.	PROPN
ap-944	176	5	39	39	NUM
ap-944	176	6	(	(	PUNCT
ap-944	176	7	2006	2006	NUM
ap-944	176	8	)	)	PUNCT
ap-944	176	9	,	,	PUNCT
ap-944	176	10	p.	p.	NOUN
ap-944	176	11	9965–10262	9965–10262	NUM
ap-944	176	12	and	and	CCONJ
ap-944	176	13	references	reference	NOUN
ap-944	176	14	therein	therein	ADV
ap-944	176	15	.	.	PUNCT
ap-944	177	1	[	[	X
ap-944	177	2	12	12	NUM
ap-944	177	3	]	]	X
ap-944	177	4	znojil	znojil	NOUN
ap-944	177	5	,	,	PUNCT
ap-944	177	6	m.	m.	NOUN
ap-944	177	7	:	:	PUNCT
ap-944	177	8	conservation	conservation	NOUN
ap-944	177	9	of	of	ADP
ap-944	177	10	pseudo	pseudo	NOUN
ap-944	177	11	-	-	NOUN
ap-944	177	12	norm	norm	NOUN
ap-944	177	13	in	in	ADP
ap-944	177	14	�	�	PROPN
ap-944	177	15	�	�	PROPN
ap-944	177	16	symmetric	symmetric	ADJ
ap-944	177	17	quantum	quantum	NOUN
ap-944	177	18	mechanics	mechanic	NOUN
ap-944	177	19	,	,	PUNCT
ap-944	177	20	rendiconti	rendiconti	ADJ
ap-944	177	21	del	del	PROPN
ap-944	177	22	circ	circ	NOUN
ap-944	177	23	.	.	PUNCT
ap-944	178	1	mat	mat	PROPN
ap-944	178	2	.	.	PROPN
ap-944	178	3	di	di	PROPN
ap-944	178	4	palermo	palermo	PROPN
ap-944	178	5	,	,	PUNCT
ap-944	178	6	ser	ser	PROPN
ap-944	178	7	.	.	PROPN
ap-944	178	8	ii	ii	PROPN
ap-944	178	9	,	,	PUNCT
ap-944	178	10	supp	supp	PROPN
ap-944	178	11	.	.	PUNCT
ap-944	179	1	vol	vol	NOUN
ap-944	179	2	.	.	PROPN
ap-944	179	3	72	72	NUM
ap-944	179	4	(	(	PUNCT
ap-944	179	5	2004	2004	NUM
ap-944	179	6	)	)	PUNCT
ap-944	179	7	,	,	PUNCT
ap-944	179	8	p.	p.	NOUN
ap-944	179	9	211	211	NUM
ap-944	179	10	,	,	PUNCT
ap-944	179	11	arxiv	arxiv	NOUN
ap-944	179	12	:	:	PUNCT
ap-944	179	13	math	math	PROPN
ap-944	179	14	-	-	PUNCT
ap-944	179	15	ph/0104012	ph/0104012	NOUN
ap-944	179	16	.	.	PUNCT
ap-944	180	1	[	[	X
ap-944	180	2	13	13	NUM
ap-944	180	3	]	]	SYM
ap-944	180	4	bender	bender	NOUN
ap-944	180	5	,	,	PUNCT
ap-944	180	6	c.	c.	PROPN
ap-944	180	7	m.	m.	PROPN
ap-944	180	8	,	,	PUNCT
ap-944	180	9	brody	brody	PROPN
ap-944	180	10	,	,	PUNCT
ap-944	180	11	d.	d.	PROPN
ap-944	180	12	c.	c.	PROPN
ap-944	180	13	,	,	PUNCT
ap-944	180	14	jones	jones	PROPN
ap-944	180	15	,	,	PUNCT
ap-944	180	16	h.	h.	PROPN
ap-944	180	17	f.	f.	PROPN
ap-944	180	18	:	:	PUNCT
ap-944	180	19	complex	complex	ADJ
ap-944	180	20	extension	extension	NOUN
ap-944	180	21	of	of	ADP
ap-944	180	22	quantum	quantum	ADJ
ap-944	180	23	mechanics	mechanic	NOUN
ap-944	180	24	,	,	PUNCT
ap-944	180	25	phys	phy	NOUN
ap-944	180	26	.	.	PUNCT
ap-944	180	27	rev	rev	PROPN
ap-944	180	28	.	.	PROPN
ap-944	180	29	lett	lett	PROPN
ap-944	180	30	.	.	PUNCT
ap-944	181	1	vol	vol	NOUN
ap-944	181	2	.	.	PROPN
ap-944	181	3	89	89	NUM
ap-944	181	4	(	(	PUNCT
ap-944	181	5	2002	2002	NUM
ap-944	181	6	)	)	PUNCT
ap-944	181	7	,	,	PUNCT
ap-944	181	8	p.	p.	NOUN
ap-944	181	9	0270401	0270401	NUM
ap-944	181	10	.	.	PUNCT
ap-944	182	1	[	[	X
ap-944	182	2	14	14	NUM
ap-944	182	3	]	]	X
ap-944	182	4	mostafazadeh	mostafazadeh	PROPN
ap-944	182	5	,	,	PUNCT
ap-944	182	6	a.	a.	NOUN
ap-944	182	7	:	:	PUNCT
ap-944	182	8	pseudo	pseudo	NOUN
ap-944	182	9	-	-	NOUN
ap-944	182	10	hermiticity	hermiticity	NOUN
ap-944	182	11	versus	versus	ADP
ap-944	182	12	�	�	PROPN
ap-944	182	13	�	�	PROPN
ap-944	182	14	symmetry	symmetry	PROPN
ap-944	182	15	iii	iii	PROPN
ap-944	182	16	:	:	PUNCT
ap-944	182	17	equivalence	equivalence	NOUN
ap-944	182	18	of	of	ADP
ap-944	182	19	pseudo	pseudo	NOUN
ap-944	182	20	-	-	NOUN
ap-944	182	21	hermiticity	hermiticity	NOUN
ap-944	182	22	and	and	CCONJ
ap-944	182	23	the	the	DET
ap-944	182	24	presence	presence	NOUN
ap-944	182	25	of	of	ADP
ap-944	182	26	antilinear	antilinear	ADJ
ap-944	182	27	symmetries	symmetry	NOUN
ap-944	182	28	,	,	PUNCT
ap-944	182	29	j.	j.	PROPN
ap-944	182	30	math	math	PROPN
ap-944	182	31	.	.	PUNCT
ap-944	183	1	phys	phy	NOUN
ap-944	183	2	.	.	PUNCT
ap-944	184	1	vol	vol	NOUN
ap-944	184	2	.	.	PUNCT
ap-944	185	1	43	43	NUM
ap-944	185	2	(	(	PUNCT
ap-944	185	3	2002	2002	NUM
ap-944	185	4	)	)	PUNCT
ap-944	185	5	,	,	PUNCT
ap-944	186	1	p.	p.	NOUN
ap-944	186	2	3944	3944	NUM
ap-944	186	3	.	.	PUNCT
ap-944	187	1	[	[	X
ap-944	187	2	15	15	NUM
ap-944	187	3	]	]	X
ap-944	187	4	mostafazadeh	mostafazadeh	NOUN
ap-944	187	5	,	,	PUNCT
ap-944	187	6	a.	a.	NOUN
ap-944	187	7	:	:	PUNCT
ap-944	187	8	probability	probability	NOUN
ap-944	187	9	interpretation	interpretation	NOUN
ap-944	187	10	for	for	ADP
ap-944	187	11	klein	klein	PROPN
ap-944	187	12	-	-	PUNCT
ap-944	187	13	gordon	gordon	PROPN
ap-944	187	14	fields	field	NOUN
ap-944	187	15	and	and	CCONJ
ap-944	187	16	the	the	DET
ap-944	187	17	hilbert	hilbert	PROPN
ap-944	187	18	space	space	NOUN
ap-944	187	19	problem	problem	NOUN
ap-944	187	20	in	in	ADP
ap-944	187	21	quantum	quantum	ADJ
ap-944	187	22	cosmology	cosmology	NOUN
ap-944	187	23	,	,	PUNCT
ap-944	187	24	class	class	NOUN
ap-944	187	25	.	.	PUNCT
ap-944	188	1	quant	quant	NOUN
ap-944	188	2	.	.	PUNCT
ap-944	189	1	grav	grav	PROPN
ap-944	189	2	.	.	PUNCT
ap-944	190	1	vol	vol	NOUN
ap-944	190	2	.	.	PROPN
ap-944	190	3	20	20	NUM
ap-944	190	4	(	(	PUNCT
ap-944	190	5	2003	2003	NUM
ap-944	190	6	)	)	PUNCT
ap-944	190	7	,	,	PUNCT
ap-944	191	1	p.	p.	NOUN
ap-944	191	2	155	155	NUM
ap-944	191	3	.	.	PUNCT
ap-944	192	1	[	[	X
ap-944	192	2	16	16	NUM
ap-944	192	3	]	]	X
ap-944	192	4	jakubský	jakubský	PROPN
ap-944	192	5	,	,	PUNCT
ap-944	192	6	v.	v.	PROPN
ap-944	192	7	,	,	PUNCT
ap-944	192	8	smejkal	smejkal	NOUN
ap-944	192	9	,	,	PUNCT
ap-944	192	10	j.	j.	PROPN
ap-944	192	11	:	:	PUNCT
ap-944	192	12	a	a	DET
ap-944	192	13	positive	positive	ADJ
ap-944	192	14	-	-	PUNCT
ap-944	192	15	definite	definite	ADJ
ap-944	192	16	scalar	scalar	ADJ
ap-944	192	17	product	product	NOUN
ap-944	192	18	for	for	ADP
ap-944	192	19	free	free	ADJ
ap-944	192	20	proca	proca	PROPN
ap-944	192	21	particle	particle	NOUN
ap-944	192	22	,	,	PUNCT
ap-944	192	23	czech	czech	PROPN
ap-944	192	24	.	.	PUNCT
ap-944	193	1	j.	j.	PROPN
ap-944	193	2	phys	phys	PROPN
ap-944	193	3	.	.	PUNCT
ap-944	194	1	vol	vol	NOUN
ap-944	194	2	.	.	PUNCT
ap-944	195	1	56	56	NUM
ap-944	195	2	(	(	PUNCT
ap-944	195	3	2006	2006	NUM
ap-944	195	4	)	)	PUNCT
ap-944	195	5	,	,	PUNCT
ap-944	195	6	p.	p.	NOUN
ap-944	195	7	985	985	NUM
ap-944	195	8	.	.	PUNCT
ap-944	196	1	[	[	X
ap-944	196	2	17	17	NUM
ap-944	196	3	]	]	SYM
ap-944	196	4	figureira	figureira	PROPN
ap-944	196	5	de	de	PROPN
ap-944	196	6	morisson	morisson	PROPN
ap-944	196	7	faria	faria	PROPN
ap-944	196	8	,	,	PUNCT
ap-944	196	9	c.	c.	PROPN
ap-944	196	10	,	,	PUNCT
ap-944	196	11	fring	fre	VERB
ap-944	196	12	a.	a.	NOUN
ap-944	196	13	:	:	PUNCT
ap-944	196	14	time	time	NOUN
ap-944	196	15	evolution	evolution	NOUN
ap-944	196	16	of	of	ADP
ap-944	196	17	non	non	ADJ
ap-944	196	18	-	-	ADJ
ap-944	196	19	hermitian	hermitian	ADJ
ap-944	196	20	hamiltonian	hamiltonian	ADJ
ap-944	196	21	systems	system	NOUN
ap-944	196	22	,	,	PUNCT
ap-944	196	23	j.	j.	PROPN
ap-944	196	24	phys	phys	PROPN
ap-944	196	25	.	.	PUNCT
ap-944	197	1	a	a	DET
ap-944	197	2	,	,	PUNCT
ap-944	197	3	vol	vol	NOUN
ap-944	197	4	.	.	PROPN
ap-944	197	5	39	39	NUM
ap-944	197	6	(	(	PUNCT
ap-944	197	7	2006	2006	NUM
ap-944	197	8	)	)	PUNCT
ap-944	197	9	,	,	PUNCT
ap-944	197	10	p.	p.	NOUN
ap-944	197	11	9269	9269	NUM
ap-944	197	12	.	.	PUNCT
ap-944	198	1	[	[	X
ap-944	198	2	18	18	NUM
ap-944	198	3	]	]	X
ap-944	198	4	bender	bender	NOUN
ap-944	198	5	,	,	PUNCT
ap-944	198	6	c.	c.	PROPN
ap-944	198	7	m.	m.	NOUN
ap-944	198	8	:	:	PUNCT
ap-944	198	9	making	make	VERB
ap-944	198	10	sense	sense	NOUN
ap-944	198	11	of	of	ADP
ap-944	198	12	non	non	ADJ
ap-944	198	13	-	-	ADJ
ap-944	198	14	hermitian	hermitian	ADJ
ap-944	198	15	hamiltonians	hamiltonian	NOUN
ap-944	198	16	,	,	PUNCT
ap-944	198	17	to	to	PART
ap-944	198	18	be	be	AUX
ap-944	198	19	published	publish	VERB
ap-944	198	20	in	in	ADP
ap-944	198	21	rep	rep	PROPN
ap-944	198	22	.	.	PROPN
ap-944	198	23	prog	prog	PROPN
ap-944	198	24	.	.	PUNCT
ap-944	199	1	phys	phy	NOUN
ap-944	199	2	,	,	PUNCT
ap-944	199	3	arxiv	arxiv	NOUN
ap-944	199	4	:	:	PUNCT
ap-944	199	5	hep	hep	NOUN
ap-944	199	6	-	-	PROPN
ap-944	199	7	th/0703096	th/0703096	PROPN
ap-944	199	8	.	.	PUNCT
ap-944	200	1	[	[	X
ap-944	200	2	19	19	NUM
ap-944	200	3	]	]	X
ap-944	200	4	znojil	znojil	NOUN
ap-944	200	5	,	,	PUNCT
ap-944	200	6	m.	m.	NOUN
ap-944	200	7	,	,	PUNCT
ap-944	200	8	geyer	geyer	PROPN
ap-944	200	9	,	,	PUNCT
ap-944	200	10	h.	h.	NOUN
ap-944	200	11	:	:	PUNCT
ap-944	200	12	construction	construction	NOUN
ap-944	200	13	of	of	ADP
ap-944	200	14	a	a	DET
ap-944	200	15	unique	unique	ADJ
ap-944	200	16	metric	metric	NOUN
ap-944	200	17	in	in	ADP
ap-944	200	18	quasi	quasi	ADJ
ap-944	200	19	-	-	ADJ
ap-944	200	20	hermitian	hermitian	ADJ
ap-944	200	21	quantum	quantum	ADJ
ap-944	200	22	mechanics	mechanic	NOUN
ap-944	200	23	:	:	PUNCT
ap-944	200	24	non	non	ADJ
ap-944	200	25	-	-	NOUN
ap-944	200	26	existence	existence	NOUN
ap-944	200	27	of	of	ADP
ap-944	200	28	the	the	DET
ap-944	200	29	charge	charge	NOUN
ap-944	200	30	operator	operator	NOUN
ap-944	200	31	in	in	ADP
ap-944	200	32	a	a	DET
ap-944	200	33	2×2	2×2	NUM
ap-944	200	34	matrix	matrix	NOUN
ap-944	200	35	model	model	NOUN
ap-944	200	36	,	,	PUNCT
ap-944	200	37	phys.lett	phys.lett	PROPN
ap-944	200	38	.	.	PUNCT
ap-944	200	39	b	b	X
ap-944	200	40	,	,	PUNCT
ap-944	200	41	vol	vol	NOUN
ap-944	200	42	.	.	NOUN
ap-944	200	43	640	640	NUM
ap-944	200	44	(	(	PUNCT
ap-944	200	45	2006	2006	NUM
ap-944	200	46	)	)	PUNCT
ap-944	200	47	,	,	PUNCT
ap-944	201	1	p.	p.	NOUN
ap-944	201	2	52	52	NUM
ap-944	201	3	.	.	PUNCT
ap-944	202	1	[	[	X
ap-944	202	2	20	20	NUM
ap-944	202	3	]	]	X
ap-944	202	4	jakubský	jakubský	PROPN
ap-944	202	5	,	,	PUNCT
ap-944	202	6	v.	v.	ADP
ap-944	202	7	:	:	PUNCT
ap-944	202	8	thermodynamics	thermodynamic	NOUN
ap-944	202	9	of	of	ADP
ap-944	202	10	pseudo	pseudo	NOUN
ap-944	202	11	-	-	ADJ
ap-944	202	12	hermitian	hermitian	ADJ
ap-944	202	13	systems	system	NOUN
ap-944	202	14	in	in	ADP
ap-944	202	15	equilibrium	equilibrium	NOUN
ap-944	202	16	,	,	PUNCT
ap-944	202	17	to	to	PART
ap-944	202	18	appear	appear	VERB
ap-944	202	19	in	in	ADP
ap-944	202	20	mod	mod	PROPN
ap-944	202	21	.	.	PUNCT
ap-944	203	1	phys	phys	PROPN
ap-944	203	2	.	.	PUNCT
ap-944	204	1	lett	lett	PROPN
ap-944	204	2	.	.	PUNCT
ap-944	205	1	a	a	DET
ap-944	205	2	,	,	PUNCT
ap-944	205	3	arxiv	arxiv	NOUN
ap-944	205	4	:	:	PUNCT
ap-944	205	5	quant	quant	NOUN
ap-944	205	6	-	-	PUNCT
ap-944	205	7	ph/0703092v3	ph/0703092v3	NOUN
ap-944	205	8	.	.	PUNCT
ap-944	206	1	[	[	X
ap-944	206	2	21	21	NUM
ap-944	206	3	]	]	X
ap-944	206	4	bender	bender	NOUN
ap-944	206	5	,	,	PUNCT
ap-944	206	6	c.	c.	PROPN
ap-944	206	7	m.	m.	PROPN
ap-944	206	8	,	,	PUNCT
ap-944	206	9	brody	brody	PROPN
ap-944	206	10	,	,	PUNCT
ap-944	206	11	d.	d.	PROPN
ap-944	206	12	c.	c.	PROPN
ap-944	206	13	,	,	PUNCT
ap-944	206	14	chen	chen	PROPN
ap-944	206	15	jun	jun	PROPN
ap-944	206	16	-	-	PUNCT
ap-944	206	17	hua	hua	PROPN
ap-944	206	18	,	,	PUNCT
ap-944	206	19	jones	jones	PROPN
ap-944	206	20	,	,	PUNCT
ap-944	206	21	h.	h.	PROPN
ap-944	206	22	f.	f.	PROPN
ap-944	206	23	,	,	PUNCT
ap-944	206	24	milton	milton	PROPN
ap-944	206	25	,	,	PUNCT
ap-944	206	26	k.	k.	PROPN
ap-944	206	27	a.	a.	PROPN
ap-944	206	28	,	,	PUNCT
ap-944	206	29	ogilvie	ogilvie	PROPN
ap-944	206	30	m.	m.	PROPN
ap-944	206	31	c.	c.	PROPN
ap-944	206	32	:	:	PUNCT
ap-944	206	33	phys	phy	NOUN
ap-944	206	34	.	.	PUNCT
ap-944	206	35	rev	rev	PROPN
ap-944	206	36	.	.	PROPN
ap-944	207	1	d	d	X
ap-944	207	2	,	,	PUNCT
ap-944	207	3	vol	vol	NOUN
ap-944	207	4	.	.	PROPN
ap-944	207	5	74	74	NUM
ap-944	207	6	(	(	PUNCT
ap-944	207	7	2006	2006	NUM
ap-944	207	8	)	)	PUNCT
ap-944	207	9	025016	025016	NUM
ap-944	207	10	.	.	PUNCT
ap-944	208	1	[	[	X
ap-944	208	2	22	22	NUM
ap-944	208	3	]	]	PUNCT
ap-944	208	4	case	case	NOUN
ap-944	208	5	,	,	PUNCT
ap-944	208	6	k.	k.	PROPN
ap-944	208	7	m.	m.	PROPN
ap-944	208	8	:	:	PUNCT
ap-944	208	9	some	some	DET
ap-944	208	10	generalizations	generalization	NOUN
ap-944	208	11	of	of	ADP
ap-944	208	12	the	the	DET
ap-944	208	13	foldy	foldy	NOUN
ap-944	208	14	-	-	PUNCT
ap-944	208	15	wouthuysen	wouthuysen	NOUN
ap-944	208	16	transformation	transformation	NOUN
ap-944	208	17	,	,	PUNCT
ap-944	208	18	phys	phy	NOUN
ap-944	208	19	.	.	PUNCT
ap-944	209	1	rev	rev	PROPN
ap-944	209	2	.	.	PROPN
ap-944	209	3	vol	vol	NOUN
ap-944	209	4	.	.	PUNCT
ap-944	210	1	95	95	NUM
ap-944	210	2	(	(	PUNCT
ap-944	210	3	1954	1954	NUM
ap-944	210	4	)	)	PUNCT
ap-944	210	5	,	,	PUNCT
ap-944	211	1	p.	p.	NOUN
ap-944	211	2	1323	1323	NUM
ap-944	211	3	.	.	PUNCT
ap-944	212	1	ing	ing	ADJ
ap-944	212	2	.	.	PROPN
ap-944	213	1	vít	vít	PROPN
ap-944	213	2	jakubský	jakubský	PROPN
ap-944	213	3	,	,	PUNCT
ap-944	213	4	ph.d	ph.d	PROPN
ap-944	213	5	.	.	PUNCT
ap-944	213	6	phone	phone	NOUN
ap-944	213	7	:	:	PUNCT
ap-944	213	8	+420	+420	PROPN
ap-944	213	9	266	266	NUM
ap-944	213	10	173	173	NUM
ap-944	213	11	255	255	NUM
ap-944	213	12	email	email	NOUN
ap-944	213	13	:	:	PUNCT
ap-944	213	14	jakub@ujf.cas.cz	jakub@ujf.cas.cz	PROPN
ap-944	213	15	departamento	departamento	PROPN
ap-944	213	16	de	de	PROPN
ap-944	213	17	física	física	PROPN
ap-944	213	18	universidad	universidad	PROPN
ap-944	213	19	de	de	PROPN
ap-944	213	20	santiago	santiago	PROPN
ap-944	213	21	de	de	PROPN
ap-944	213	22	chile	chile	PROPN
ap-944	213	23	casilla	casilla	X
ap-944	213	24	307	307	NUM
ap-944	213	25	,	,	PUNCT
ap-944	213	26	santiago	santiago	PROPN
ap-944	213	27	2	2	NUM
ap-944	213	28	,	,	PUNCT
ap-944	213	29	chile	chile	NOUN
ap-944	213	30	(	(	PUNCT
ap-944	213	31	and	and	CCONJ
ap-944	213	32	phone	phone	NOUN
ap-944	213	33	:	:	PUNCT
ap-944	213	34	+420	+420	NUM
ap-944	213	35	266	266	NUM
ap-944	213	36	173	173	NUM
ap-944	213	37	255	255	NUM
ap-944	213	38	academy	academy	NOUN
ap-944	213	39	of	of	ADP
ap-944	213	40	science	science	NOUN
ap-944	213	41	of	of	ADP
ap-944	213	42	the	the	DET
ap-944	213	43	czech	czech	PROPN
ap-944	213	44	republic	republic	NOUN
ap-944	213	45	250	250	NUM
ap-944	213	46	68	68	NUM
ap-944	213	47	rež	rež	NOUN
ap-944	213	48	,	,	PUNCT
ap-944	213	49	czech	czech	PROPN
ap-944	213	50	republic	republic	NOUN
ap-944	213	51	)	)	PUNCT
ap-944	213	52	74	74	NUM
ap-944	214	1	©	©	PROPN
ap-944	214	2	czech	czech	PROPN
ap-944	214	3	technical	technical	PROPN
ap-944	214	4	university	university	PROPN
ap-944	214	5	publishing	publishing	NOUN
ap-944	214	6	house	house	NOUN
ap-944	214	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-944	214	8	acta	acta	PROPN
ap-944	214	9	polytechnica	polytechnica	PROPN
ap-944	214	10	vol	vol	NOUN
ap-944	214	11	.	.	PUNCT
ap-944	215	1	47	47	NUM
ap-944	215	2	no	no	INTJ
ap-944	215	3	.	.	PUNCT
ap-944	216	1	2–3/2007	2–3/2007	NUM