id	sid	tid	token	lemma	pos
ap-936	1	1	ap07_2-3.vp	ap07_2-3.vp	PRON
ap-936	1	2	1	1	NUM
ap-936	1	3	introduction	introduction	NOUN
ap-936	1	4	in	in	ADP
ap-936	1	5	physics	physics	NOUN
ap-936	1	6	there	there	PRON
ap-936	1	7	are	be	VERB
ap-936	1	8	usually	usually	ADV
ap-936	1	9	one	one	NUM
ap-936	1	10	or	or	CCONJ
ap-936	1	11	more	more	ADV
ap-936	1	12	free	free	ADJ
ap-936	1	13	parameters	parameter	NOUN
ap-936	1	14	which	which	PRON
ap-936	1	15	specify	specify	VERB
ap-936	1	16	some	some	DET
ap-936	1	17	properties	property	NOUN
ap-936	1	18	of	of	ADP
ap-936	1	19	the	the	DET
ap-936	1	20	system	system	NOUN
ap-936	1	21	.	.	PUNCT
ap-936	2	1	aside	aside	ADV
ap-936	2	2	from	from	ADP
ap-936	2	3	trivial	trivial	ADJ
ap-936	2	4	parametric	parametric	ADJ
ap-936	2	5	dependences	dependence	NOUN
ap-936	2	6	that	that	PRON
ap-936	2	7	can	can	AUX
ap-936	2	8	be	be	AUX
ap-936	2	9	determined	determine	VERB
ap-936	2	10	directly	directly	ADV
ap-936	2	11	,	,	PUNCT
ap-936	2	12	e.g.	e.g.	ADV
ap-936	2	13	,	,	PUNCT
ap-936	2	14	by	by	ADP
ap-936	2	15	a	a	DET
ap-936	2	16	change	change	NOUN
ap-936	2	17	of	of	ADP
ap-936	2	18	units	unit	NOUN
ap-936	2	19	,	,	PUNCT
ap-936	2	20	variation	variation	NOUN
ap-936	2	21	in	in	ADP
ap-936	2	22	the	the	DET
ap-936	2	23	values	value	NOUN
ap-936	2	24	of	of	ADP
ap-936	2	25	some	some	DET
ap-936	2	26	parameters	parameter	NOUN
ap-936	2	27	can	can	AUX
ap-936	2	28	qualitatively	qualitatively	ADV
ap-936	2	29	affect	affect	VERB
ap-936	2	30	the	the	DET
ap-936	2	31	system	system	NOUN
ap-936	2	32	’s	’s	PART
ap-936	2	33	behaviour	behaviour	NOUN
ap-936	2	34	.	.	PUNCT
ap-936	3	1	in	in	ADP
ap-936	3	2	quantum	quantum	ADJ
ap-936	3	3	physics	physics	NOUN
ap-936	3	4	,	,	PUNCT
ap-936	3	5	where	where	SCONJ
ap-936	3	6	almost	almost	ADV
ap-936	3	7	all	all	PRON
ap-936	3	8	physical	physical	ADJ
ap-936	3	9	properties	property	NOUN
ap-936	3	10	are	be	AUX
ap-936	3	11	related	relate	VERB
ap-936	3	12	to	to	ADP
ap-936	3	13	spectral	spectral	ADJ
ap-936	3	14	properties	property	NOUN
ap-936	3	15	of	of	ADP
ap-936	3	16	a	a	DET
ap-936	3	17	chosen	choose	VERB
ap-936	3	18	set	set	NOUN
ap-936	3	19	of	of	ADP
ap-936	3	20	operators	operator	NOUN
ap-936	3	21	(	(	PUNCT
ap-936	3	22	in	in	ADP
ap-936	3	23	particular	particular	ADJ
ap-936	3	24	the	the	DET
ap-936	3	25	hamiltonian	hamiltonian	NOUN
ap-936	3	26	)	)	PUNCT
ap-936	3	27	,	,	PUNCT
ap-936	3	28	qualitative	qualitative	ADJ
ap-936	3	29	changes	change	NOUN
ap-936	3	30	of	of	ADP
ap-936	3	31	spectra	spectra	NOUN
ap-936	3	32	due	due	ADP
ap-936	3	33	to	to	ADP
ap-936	3	34	varying	vary	VERB
ap-936	3	35	parameters	parameter	NOUN
ap-936	3	36	of	of	ADP
ap-936	3	37	the	the	DET
ap-936	3	38	hamiltonian	hamiltonian	NOUN
ap-936	3	39	are	be	AUX
ap-936	3	40	of	of	ADP
ap-936	3	41	prominent	prominent	ADJ
ap-936	3	42	importance	importance	NOUN
ap-936	3	43	.	.	PUNCT
ap-936	4	1	�	�	PROPN
ap-936	4	2	�	�	PROPN
ap-936	4	3	-symmetry	-symmetry	PROPN
ap-936	4	4	,	,	PUNCT
ap-936	4	5	which	which	PRON
ap-936	4	6	was	be	AUX
ap-936	4	7	introduced	introduce	VERB
ap-936	4	8	as	as	ADP
ap-936	4	9	a	a	DET
ap-936	4	10	concept	concept	NOUN
ap-936	4	11	generalising	generalise	VERB
ap-936	4	12	the	the	DET
ap-936	4	13	usually	usually	ADV
ap-936	4	14	demanded	demand	VERB
ap-936	4	15	self	self	NOUN
ap-936	4	16	-	-	PUNCT
ap-936	4	17	adjointness	adjointness	NOUN
ap-936	4	18	of	of	ADP
ap-936	4	19	the	the	DET
ap-936	4	20	hamiltonian	hamiltonian	NOUN
ap-936	4	21	,	,	PUNCT
ap-936	4	22	does	do	AUX
ap-936	4	23	not	not	PART
ap-936	4	24	per	per	ADV
ap-936	4	25	se	se	ADV
ap-936	4	26	provide	provide	VERB
ap-936	4	27	the	the	DET
ap-936	4	28	reality	reality	NOUN
ap-936	4	29	of	of	ADP
ap-936	4	30	its	its	PRON
ap-936	4	31	spectrum	spectrum	NOUN
ap-936	4	32	and	and	CCONJ
ap-936	4	33	consequently	consequently	ADV
ap-936	4	34	of	of	ADP
ap-936	4	35	the	the	DET
ap-936	4	36	energies	energy	NOUN
ap-936	4	37	.	.	PUNCT
ap-936	5	1	even	even	ADV
ap-936	5	2	if	if	SCONJ
ap-936	5	3	the	the	DET
ap-936	5	4	spectrum	spectrum	NOUN
ap-936	5	5	is	be	AUX
ap-936	5	6	real	real	ADJ
ap-936	5	7	it	it	PRON
ap-936	5	8	need	need	VERB
ap-936	5	9	not	not	PART
ap-936	5	10	to	to	PART
ap-936	5	11	be	be	AUX
ap-936	5	12	so	so	ADV
ap-936	5	13	for	for	ADP
ap-936	5	14	all	all	DET
ap-936	5	15	values	value	NOUN
ap-936	5	16	of	of	ADP
ap-936	5	17	the	the	DET
ap-936	5	18	considered	consider	VERB
ap-936	5	19	parameters	parameter	NOUN
ap-936	5	20	.	.	PUNCT
ap-936	6	1	therefore	therefore	ADV
ap-936	6	2	determining	determine	VERB
ap-936	6	3	the	the	DET
ap-936	6	4	regions	region	NOUN
ap-936	6	5	in	in	ADP
ap-936	6	6	the	the	DET
ap-936	6	7	parametric	parametric	ADJ
ap-936	6	8	space	space	NOUN
ap-936	6	9	where	where	SCONJ
ap-936	6	10	the	the	DET
ap-936	6	11	spectrum	spectrum	NOUN
ap-936	6	12	’s	’s	PART
ap-936	6	13	reality	reality	NOUN
ap-936	6	14	holds	hold	VERB
ap-936	6	15	is	be	AUX
ap-936	6	16	a	a	DET
ap-936	6	17	key	key	ADJ
ap-936	6	18	step	step	NOUN
ap-936	6	19	in	in	ADP
ap-936	6	20	finding	find	VERB
ap-936	6	21	the	the	DET
ap-936	6	22	limits	limit	NOUN
ap-936	6	23	of	of	ADP
ap-936	6	24	the	the	DET
ap-936	6	25	physical	physical	ADJ
ap-936	6	26	significance	significance	NOUN
ap-936	6	27	of	of	ADP
ap-936	6	28	any	any	DET
ap-936	6	29	�	�	NOUN
ap-936	6	30	�	�	NOUN
ap-936	6	31	-symmetric	-symmetric	ADJ
ap-936	6	32	theory(1	theory(1	PROPN
ap-936	6	33	)	)	PUNCT
ap-936	6	34	.	.	PUNCT
ap-936	7	1	most	most	ADJ
ap-936	7	2	attention	attention	NOUN
ap-936	7	3	has	have	AUX
ap-936	7	4	been	be	AUX
ap-936	7	5	concentrated	concentrate	VERB
ap-936	7	6	on	on	ADP
ap-936	7	7	discrete	discrete	ADJ
ap-936	7	8	spectra	spectra	NOUN
ap-936	7	9	,	,	PUNCT
ap-936	7	10	for	for	ADP
ap-936	7	11	the	the	DET
ap-936	7	12	following	follow	VERB
ap-936	7	13	reasons	reason	NOUN
ap-936	7	14	.	.	PUNCT
ap-936	8	1	first	first	ADV
ap-936	8	2	,	,	PUNCT
ap-936	8	3	it	it	PRON
ap-936	8	4	is	be	AUX
ap-936	8	5	usually	usually	ADV
ap-936	8	6	more	more	ADV
ap-936	8	7	convenient	convenient	ADJ
ap-936	8	8	(	(	PUNCT
ap-936	8	9	at	at	ADP
ap-936	8	10	least	least	ADJ
ap-936	8	11	for	for	ADP
ap-936	8	12	mathematically	mathematically	ADV
ap-936	8	13	less	less	ADV
ap-936	8	14	careful	careful	ADJ
ap-936	8	15	and	and	CCONJ
ap-936	8	16	less	less	ADV
ap-936	8	17	rigorous	rigorous	ADJ
ap-936	8	18	physicists	physicist	NOUN
ap-936	8	19	)	)	PUNCT
ap-936	8	20	to	to	PART
ap-936	8	21	deal	deal	VERB
ap-936	8	22	with	with	ADP
ap-936	8	23	isolated	isolated	ADJ
ap-936	8	24	eigenvalues	eigenvalue	NOUN
ap-936	8	25	than	than	ADP
ap-936	8	26	with	with	ADP
ap-936	8	27	the	the	DET
ap-936	8	28	continuous	continuous	ADJ
ap-936	8	29	part	part	NOUN
ap-936	8	30	of	of	ADP
ap-936	8	31	the	the	DET
ap-936	8	32	spectrum	spectrum	NOUN
ap-936	8	33	,	,	PUNCT
ap-936	8	34	where	where	SCONJ
ap-936	8	35	all	all	DET
ap-936	8	36	manipulations	manipulation	NOUN
ap-936	8	37	become	become	VERB
ap-936	8	38	in	in	ADP
ap-936	8	39	a	a	DET
ap-936	8	40	way	way	NOUN
ap-936	8	41	more	more	ADV
ap-936	8	42	mathematically	mathematically	ADV
ap-936	8	43	intricate	intricate	ADJ
ap-936	8	44	.	.	PUNCT
ap-936	9	1	second	second	ADJ
ap-936	9	2	,	,	PUNCT
ap-936	9	3	there	there	PRON
ap-936	9	4	are	be	VERB
ap-936	9	5	many	many	ADJ
ap-936	9	6	systems	system	NOUN
ap-936	9	7	whose	whose	DET
ap-936	9	8	spectrum	spectrum	NOUN
ap-936	9	9	is	be	AUX
ap-936	9	10	fully	fully	ADV
ap-936	9	11	discrete	discrete	ADJ
ap-936	9	12	and	and	CCONJ
ap-936	9	13	others	other	NOUN
ap-936	9	14	where	where	SCONJ
ap-936	9	15	the	the	DET
ap-936	9	16	essential	essential	ADJ
ap-936	9	17	spectrum	spectrum	NOUN
ap-936	9	18	is	be	AUX
ap-936	9	19	insensitive	insensitive	ADJ
ap-936	9	20	to	to	ADP
ap-936	9	21	parametric	parametric	ADJ
ap-936	9	22	change	change	NOUN
ap-936	9	23	.	.	PUNCT
ap-936	10	1	the	the	DET
ap-936	10	2	points	point	NOUN
ap-936	10	3	of	of	ADP
ap-936	10	4	eigenvalues	eigenvalue	NOUN
ap-936	10	5	’	'	PUNCT
ap-936	10	6	complexification	complexification	NOUN
ap-936	10	7	are	be	AUX
ap-936	10	8	thus	thus	ADV
ap-936	10	9	the	the	DET
ap-936	10	10	investigated	investigate	VERB
ap-936	10	11	limits	limit	NOUN
ap-936	10	12	of	of	ADP
ap-936	10	13	physical	physical	ADJ
ap-936	10	14	relevance	relevance	NOUN
ap-936	10	15	.	.	PUNCT
ap-936	11	1	after	after	ADP
ap-936	11	2	examining	examine	VERB
ap-936	11	3	many	many	ADJ
ap-936	11	4	of	of	ADP
ap-936	11	5	the	the	DET
ap-936	11	6	“	"	PUNCT
ap-936	11	7	classical	classical	ADJ
ap-936	11	8	”	"	PUNCT
ap-936	11	9	examples	example	NOUN
ap-936	11	10	of	of	ADP
ap-936	11	11	�	�	NOUN
ap-936	11	12	�	�	NOUN
ap-936	11	13	-symmetric	-symmetric	ADJ
ap-936	11	14	systems	system	NOUN
ap-936	11	15	an	an	DET
ap-936	11	16	apparently	apparently	ADV
ap-936	11	17	regular	regular	ADJ
ap-936	11	18	pattern	pattern	NOUN
ap-936	11	19	was	be	AUX
ap-936	11	20	observed	observe	VERB
ap-936	11	21	–	–	PUNCT
ap-936	11	22	a	a	DET
ap-936	11	23	square	square	ADJ
ap-936	11	24	-	-	PUNCT
ap-936	11	25	root	root	NOUN
ap-936	11	26	singularity	singularity	NOUN
ap-936	11	27	structure	structure	NOUN
ap-936	11	28	and	and	CCONJ
ap-936	11	29	a	a	DET
ap-936	11	30	jordan	jordan	PROPN
ap-936	11	31	-	-	PUNCT
ap-936	11	32	block	block	NOUN
ap-936	11	33	degeneracy	degeneracy	NOUN
ap-936	11	34	.	.	PUNCT
ap-936	12	1	though	though	SCONJ
ap-936	12	2	this	this	PRON
ap-936	12	3	is	be	AUX
ap-936	12	4	beyond	beyond	ADP
ap-936	12	5	the	the	DET
ap-936	12	6	scope	scope	NOUN
ap-936	12	7	of	of	ADP
ap-936	12	8	this	this	DET
ap-936	12	9	article	article	NOUN
ap-936	12	10	,	,	PUNCT
ap-936	12	11	it	it	PRON
ap-936	12	12	can	can	AUX
ap-936	12	13	be	be	AUX
ap-936	12	14	useful	useful	ADJ
ap-936	12	15	for	for	SCONJ
ap-936	12	16	the	the	DET
ap-936	12	17	reader	reader	NOUN
ap-936	12	18	to	to	PART
ap-936	12	19	consider	consider	VERB
ap-936	12	20	one	one	NUM
ap-936	12	21	more	more	ADJ
ap-936	12	22	application	application	NOUN
ap-936	12	23	of	of	ADP
ap-936	12	24	studying	study	VERB
ap-936	12	25	complexification	complexification	NOUN
ap-936	12	26	and	and	CCONJ
ap-936	12	27	its	its	PRON
ap-936	12	28	properties	property	NOUN
ap-936	12	29	.	.	PUNCT
ap-936	13	1	complex	complex	ADJ
ap-936	13	2	(	(	PUNCT
ap-936	13	3	albeit	albeit	SCONJ
ap-936	13	4	not	not	PART
ap-936	13	5	necessarily	necessarily	ADV
ap-936	13	6	�	�	NOUN
ap-936	13	7	�	�	NOUN
ap-936	13	8	-symmetric	-symmetric	NOUN
ap-936	13	9	)	)	PUNCT
ap-936	13	10	hamiltonians	hamiltonian	NOUN
ap-936	13	11	do	do	AUX
ap-936	13	12	also	also	ADV
ap-936	13	13	arise	arise	VERB
ap-936	13	14	with	with	ADP
ap-936	13	15	extending	extend	VERB
ap-936	13	16	parameters	parameter	NOUN
ap-936	13	17	of	of	ADP
ap-936	13	18	the	the	DET
ap-936	13	19	hermitian	hermitian	ADJ
ap-936	13	20	systems	system	NOUN
ap-936	13	21	into	into	ADP
ap-936	13	22	the	the	DET
ap-936	13	23	complex	complex	ADJ
ap-936	13	24	domain	domain	NOUN
ap-936	13	25	.	.	PUNCT
ap-936	14	1	the	the	DET
ap-936	14	2	structure	structure	NOUN
ap-936	14	3	of	of	ADP
ap-936	14	4	the	the	DET
ap-936	14	5	spectrum	spectrum	NOUN
ap-936	14	6	and	and	CCONJ
ap-936	14	7	especially	especially	ADV
ap-936	14	8	the	the	DET
ap-936	14	9	distribution	distribution	NOUN
ap-936	14	10	of	of	ADP
ap-936	14	11	the	the	DET
ap-936	14	12	exceptional	exceptional	ADJ
ap-936	14	13	points	point	NOUN
ap-936	14	14	(	(	PUNCT
ap-936	14	15	which	which	PRON
ap-936	14	16	are	be	AUX
ap-936	14	17	,	,	PUNCT
ap-936	14	18	in	in	ADP
ap-936	14	19	this	this	DET
ap-936	14	20	case	case	NOUN
ap-936	14	21	up	up	ADP
ap-936	14	22	to	to	ADP
ap-936	14	23	slight	slight	ADJ
ap-936	14	24	generalisation	generalisation	NOUN
ap-936	14	25	,	,	PUNCT
ap-936	14	26	the	the	DET
ap-936	14	27	points	point	NOUN
ap-936	14	28	of	of	ADP
ap-936	14	29	the	the	DET
ap-936	14	30	spectrum	spectrum	NOUN
ap-936	14	31	’s	’s	PART
ap-936	14	32	complexification	complexification	NOUN
ap-936	14	33	)	)	PUNCT
ap-936	14	34	then	then	ADV
ap-936	14	35	influences	influence	VERB
ap-936	14	36	the	the	DET
ap-936	14	37	phase	phase	NOUN
ap-936	14	38	transitions	transition	NOUN
ap-936	14	39	and	and	CCONJ
ap-936	14	40	the	the	DET
ap-936	14	41	chaotic	chaotic	ADJ
ap-936	14	42	behaviour	behaviour	NOUN
ap-936	14	43	of	of	ADP
ap-936	14	44	many	many	ADJ
ap-936	14	45	systems	system	NOUN
ap-936	14	46	.	.	PUNCT
ap-936	15	1	see	see	VERB
ap-936	15	2	e.g.	e.g.	ADV
ap-936	15	3	[	[	X
ap-936	15	4	2	2	NUM
ap-936	15	5	]	]	PUNCT
ap-936	15	6	or	or	CCONJ
ap-936	15	7	[	[	X
ap-936	15	8	3	3	NUM
ap-936	15	9	]	]	PUNCT
ap-936	15	10	(	(	PUNCT
ap-936	15	11	and	and	CCONJ
ap-936	15	12	refs	ref	NOUN
ap-936	15	13	.	.	PUNCT
ap-936	16	1	therein	therein	ADV
ap-936	16	2	)	)	PUNCT
ap-936	16	3	.	.	PUNCT
ap-936	17	1	outside	outside	ADP
ap-936	17	2	of	of	ADP
ap-936	17	3	quantum	quantum	ADJ
ap-936	17	4	mechanics	mechanic	NOUN
ap-936	17	5	,	,	PUNCT
ap-936	17	6	�	�	NOUN
ap-936	17	7	�	�	PROPN
ap-936	17	8	-symmetric	-symmetric	ADJ
ap-936	17	9	hamiltonians	hamiltonian	NOUN
ap-936	17	10	are	be	AUX
ap-936	17	11	of	of	ADP
ap-936	17	12	use	use	NOUN
ap-936	17	13	in	in	ADP
ap-936	17	14	the	the	DET
ap-936	17	15	framework	framework	NOUN
ap-936	17	16	of	of	ADP
ap-936	17	17	magnetohydrodynamics	magnetohydrodynamic	NOUN
ap-936	17	18	.	.	PUNCT
ap-936	18	1	here	here	ADV
ap-936	18	2	again	again	ADV
ap-936	18	3	the	the	DET
ap-936	18	4	exceptional	exceptional	ADJ
ap-936	18	5	points	point	NOUN
ap-936	18	6	and	and	CCONJ
ap-936	18	7	level	level	NOUN
ap-936	18	8	crossings	crossing	NOUN
ap-936	18	9	(	(	PUNCT
ap-936	18	10	we	we	PRON
ap-936	18	11	will	will	AUX
ap-936	18	12	discuss	discuss	VERB
ap-936	18	13	their	their	PRON
ap-936	18	14	close	close	ADJ
ap-936	18	15	relatedness	relatedness	NOUN
ap-936	18	16	later	later	ADV
ap-936	18	17	)	)	PUNCT
ap-936	18	18	have	have	VERB
ap-936	18	19	a	a	DET
ap-936	18	20	direct	direct	ADJ
ap-936	18	21	physical	physical	ADJ
ap-936	18	22	significance	significance	NOUN
ap-936	18	23	.	.	PUNCT
ap-936	19	1	for	for	ADP
ap-936	19	2	the	the	DET
ap-936	19	3	connection	connection	NOUN
ap-936	19	4	between	between	ADP
ap-936	19	5	magnetohydrodynamics	magnetohydrodynamic	NOUN
ap-936	19	6	and	and	CCONJ
ap-936	19	7	�	�	PROPN
ap-936	19	8	�	�	PROPN
ap-936	19	9	-symmetry	-symmetry	NOUN
ap-936	19	10	,	,	PUNCT
ap-936	19	11	see	see	VERB
ap-936	19	12	[	[	X
ap-936	19	13	4	4	NUM
ap-936	19	14	,	,	PUNCT
ap-936	19	15	5	5	NUM
ap-936	19	16	]	]	PUNCT
ap-936	19	17	.	.	PUNCT
ap-936	20	1	the	the	DET
ap-936	20	2	concrete	concrete	ADJ
ap-936	20	3	nature	nature	NOUN
ap-936	20	4	of	of	ADP
ap-936	20	5	the	the	DET
ap-936	20	6	complexification	complexification	NOUN
ap-936	20	7	is	be	AUX
ap-936	20	8	important	important	ADJ
ap-936	20	9	,	,	PUNCT
ap-936	20	10	e.g.	e.g.	ADV
ap-936	20	11	,	,	PUNCT
ap-936	20	12	if	if	SCONJ
ap-936	20	13	one	one	PRON
ap-936	20	14	has	have	VERB
ap-936	20	15	to	to	PART
ap-936	20	16	construct	construct	VERB
ap-936	20	17	a	a	DET
ap-936	20	18	perturbation	perturbation	NOUN
ap-936	20	19	theory	theory	NOUN
ap-936	20	20	around	around	ADP
ap-936	20	21	these	these	DET
ap-936	20	22	singularities	singularity	NOUN
ap-936	20	23	[	[	X
ap-936	20	24	6	6	NUM
ap-936	20	25	]	]	PUNCT
ap-936	20	26	.	.	PUNCT
ap-936	21	1	the	the	DET
ap-936	21	2	purpose	purpose	NOUN
ap-936	21	3	of	of	ADP
ap-936	21	4	this	this	DET
ap-936	21	5	paper	paper	NOUN
ap-936	21	6	is	be	AUX
ap-936	21	7	to	to	PART
ap-936	21	8	summarise	summarise	VERB
ap-936	21	9	some	some	DET
ap-936	21	10	well	well	ADV
ap-936	21	11	-	-	PUNCT
ap-936	21	12	known	know	VERB
ap-936	21	13	facts	fact	NOUN
ap-936	21	14	about	about	ADP
ap-936	21	15	complexification	complexification	NOUN
ap-936	21	16	of	of	ADP
ap-936	21	17	energies	energy	NOUN
ap-936	21	18	and	and	CCONJ
ap-936	21	19	also	also	ADV
ap-936	21	20	to	to	PART
ap-936	21	21	discuss	discuss	VERB
ap-936	21	22	some	some	PRON
ap-936	21	23	of	of	ADP
ap-936	21	24	the	the	DET
ap-936	21	25	other	other	ADJ
ap-936	21	26	(	(	PUNCT
ap-936	21	27	than	than	ADP
ap-936	21	28	usual	usual	ADJ
ap-936	21	29	)	)	PUNCT
ap-936	21	30	possible	possible	ADJ
ap-936	21	31	scenarios	scenario	NOUN
ap-936	21	32	of	of	ADP
ap-936	21	33	complexification	complexification	NOUN
ap-936	21	34	,	,	PUNCT
ap-936	21	35	especially	especially	ADV
ap-936	21	36	for	for	ADP
ap-936	21	37	dirac	dirac	NOUN
ap-936	21	38	operators	operator	NOUN
ap-936	21	39	.	.	PUNCT
ap-936	22	1	in	in	ADP
ap-936	22	2	the	the	DET
ap-936	22	3	first	first	ADJ
ap-936	22	4	section	section	NOUN
ap-936	22	5	we	we	PRON
ap-936	22	6	will	will	AUX
ap-936	22	7	make	make	VERB
ap-936	22	8	clear	clear	ADJ
ap-936	22	9	the	the	DET
ap-936	22	10	terminology	terminology	NOUN
ap-936	22	11	and	and	CCONJ
ap-936	22	12	compare	compare	VERB
ap-936	22	13	particular	particular	ADJ
ap-936	22	14	properties	property	NOUN
ap-936	22	15	of	of	ADP
ap-936	22	16	self	self	NOUN
ap-936	22	17	-	-	PUNCT
ap-936	22	18	adjoint	adjoint	NOUN
ap-936	22	19	and	and	CCONJ
ap-936	22	20	�	�	PROPN
ap-936	22	21	�	�	PROPN
ap-936	22	22	-symmetric	-symmetric	NOUN
ap-936	22	23	parametrically	parametrically	ADV
ap-936	22	24	dependent	dependent	ADJ
ap-936	22	25	hamiltonians	hamiltonian	NOUN
ap-936	22	26	.	.	PUNCT
ap-936	23	1	in	in	ADP
ap-936	23	2	the	the	DET
ap-936	23	3	second	second	ADJ
ap-936	23	4	section	section	NOUN
ap-936	23	5	,	,	PUNCT
ap-936	23	6	we	we	PRON
ap-936	23	7	will	will	AUX
ap-936	23	8	present	present	VERB
ap-936	23	9	the	the	DET
ap-936	23	10	situation	situation	NOUN
ap-936	23	11	in	in	ADP
ap-936	23	12	relativistic	relativistic	ADJ
ap-936	23	13	models	model	NOUN
ap-936	23	14	.	.	PUNCT
ap-936	24	1	2	2	NUM
ap-936	24	2	the	the	DET
ap-936	24	3	basics	basic	NOUN
ap-936	24	4	of	of	ADP
ap-936	24	5	complexification	complexification	NOUN
ap-936	24	6	in	in	ADP
ap-936	24	7	the	the	DET
ap-936	24	8	following	following	NOUN
ap-936	24	9	,	,	PUNCT
ap-936	24	10	we	we	PRON
ap-936	24	11	will	will	AUX
ap-936	24	12	investigate	investigate	VERB
ap-936	24	13	the	the	DET
ap-936	24	14	spectra	spectra	NOUN
ap-936	24	15	of	of	ADP
ap-936	24	16	operators	operator	NOUN
ap-936	24	17	that	that	PRON
ap-936	24	18	depend	depend	VERB
ap-936	24	19	on	on	ADP
ap-936	24	20	a	a	DET
ap-936	24	21	single	single	ADJ
ap-936	24	22	parameter	parameter	NOUN
ap-936	24	23	.	.	PUNCT
ap-936	25	1	these	these	DET
ap-936	25	2	operators	operator	NOUN
ap-936	25	3	will	will	AUX
ap-936	25	4	be	be	AUX
ap-936	25	5	called	call	VERB
ap-936	25	6	hamiltonians	hamiltonian	NOUN
ap-936	25	7	,	,	PUNCT
ap-936	25	8	as	as	SCONJ
ap-936	25	9	is	be	AUX
ap-936	25	10	usual	usual	ADJ
ap-936	25	11	in	in	ADP
ap-936	25	12	the	the	DET
ap-936	25	13	�	�	PROPN
ap-936	25	14	�	�	PROPN
ap-936	25	15	-symmetric	-symmetric	ADJ
ap-936	25	16	context	context	NOUN
ap-936	25	17	,	,	PUNCT
ap-936	25	18	even	even	ADV
ap-936	25	19	if	if	SCONJ
ap-936	25	20	the	the	DET
ap-936	25	21	matrices	matrix	NOUN
ap-936	25	22	used	use	VERB
ap-936	25	23	for	for	ADP
ap-936	25	24	illustration	illustration	NOUN
ap-936	25	25	in	in	ADP
ap-936	25	26	this	this	DET
ap-936	25	27	section	section	NOUN
ap-936	25	28	are	be	AUX
ap-936	25	29	rather	rather	ADV
ap-936	25	30	toy	toy	NOUN
ap-936	25	31	models	model	NOUN
ap-936	25	32	than	than	ADP
ap-936	25	33	realistic	realistic	ADJ
ap-936	25	34	generators	generator	NOUN
ap-936	25	35	of	of	ADP
ap-936	25	36	time	time	NOUN
ap-936	25	37	evolution	evolution	NOUN
ap-936	25	38	.	.	PUNCT
ap-936	26	1	however	however	ADV
ap-936	26	2	,	,	PUNCT
ap-936	26	3	the	the	DET
ap-936	26	4	physical	physical	ADJ
ap-936	26	5	background	background	NOUN
ap-936	26	6	of	of	ADP
ap-936	26	7	what	what	PRON
ap-936	26	8	is	be	AUX
ap-936	26	9	discussed	discuss	VERB
ap-936	26	10	in	in	ADP
ap-936	26	11	the	the	DET
ap-936	26	12	second	second	ADJ
ap-936	26	13	section	section	NOUN
ap-936	26	14	will	will	AUX
ap-936	26	15	be	be	AUX
ap-936	26	16	rather	rather	ADV
ap-936	26	17	obvious	obvious	ADJ
ap-936	26	18	.	.	PUNCT
ap-936	27	1	the	the	DET
ap-936	27	2	investigated	investigate	VERB
ap-936	27	3	parameter	parameter	NOUN
ap-936	27	4	will	will	AUX
ap-936	27	5	be	be	AUX
ap-936	27	6	denoted	denote	VERB
ap-936	27	7	by	by	ADP
ap-936	27	8	c	c	PROPN
ap-936	27	9	,	,	PUNCT
ap-936	27	10	the	the	DET
ap-936	27	11	hamiltonian	hamiltonian	ADJ
ap-936	27	12	h(c	h(c	PROPN
ap-936	27	13	)	)	PUNCT
ap-936	27	14	and	and	CCONJ
ap-936	27	15	its	its	PRON
ap-936	27	16	eigenvalues	eigenvalue	NOUN
ap-936	27	17	e	e	NOUN
ap-936	27	18	,	,	PUNCT
ap-936	27	19	unless	unless	SCONJ
ap-936	27	20	stated	state	VERB
ap-936	27	21	otherwise	otherwise	ADV
ap-936	27	22	.	.	PUNCT
ap-936	28	1	the	the	DET
ap-936	28	2	point	point	NOUN
ap-936	28	3	in	in	ADP
ap-936	28	4	the	the	DET
ap-936	28	5	parametric	parametric	ADJ
ap-936	28	6	space	space	NOUN
ap-936	28	7	where	where	SCONJ
ap-936	28	8	complexification	complexification	NOUN
ap-936	28	9	occurs	occur	VERB
ap-936	28	10	will	will	AUX
ap-936	28	11	be	be	AUX
ap-936	28	12	called	call	VERB
ap-936	28	13	the	the	DET
ap-936	28	14	exceptional	exceptional	ADJ
ap-936	28	15	point	point	NOUN
ap-936	28	16	(	(	PUNCT
ap-936	28	17	2	2	NUM
ap-936	28	18	)	)	PUNCT
ap-936	28	19	(	(	PUNCT
ap-936	28	20	ep	ep	PROPN
ap-936	28	21	)	)	PUNCT
ap-936	28	22	and	and	CCONJ
ap-936	28	23	denoted	denote	VERB
ap-936	28	24	by	by	ADP
ap-936	28	25	cep;	cep;	PROPN
ap-936	28	26	complexification	complexification	NOUN
ap-936	28	27	means	mean	VERB
ap-936	28	28	that	that	SCONJ
ap-936	28	29	some	some	DET
ap-936	28	30	chosen	choose	VERB
ap-936	28	31	subset	subset	NOUN
ap-936	28	32	(	(	PUNCT
ap-936	28	33	usually	usually	ADV
ap-936	28	34	consisting	consist	VERB
ap-936	28	35	of	of	ADP
ap-936	28	36	two	two	NUM
ap-936	28	37	eigenvalues	eigenvalue	NOUN
ap-936	28	38	)	)	PUNCT
ap-936	28	39	of	of	ADP
ap-936	28	40	the	the	DET
ap-936	28	41	spectrum	spectrum	PROPN
ap-936	28	42	�	�	PROPN
ap-936	28	43	�	�	PROPN
ap-936	28	44	�	�	PROPN
ap-936	28	45	h	h	PROPN
ap-936	28	46	(	(	PUNCT
ap-936	28	47	)	)	PUNCT
ap-936	28	48	c	c	NOUN
ap-936	28	49	is	be	AUX
ap-936	28	50	real	real	ADJ
ap-936	28	51	for	for	ADP
ap-936	28	52	c	c	PROPN
ap-936	28	53	c	c	PROPN
ap-936	28	54	�	�	X
ap-936	28	55	ep	ep	PROPN
ap-936	28	56	and	and	CCONJ
ap-936	28	57	imaginary	imaginary	ADJ
ap-936	28	58	for	for	ADP
ap-936	28	59	c	c	PROPN
ap-936	28	60	c	c	PROPN
ap-936	28	61	�	�	X
ap-936	28	62	ep	ep	PROPN
ap-936	28	63	or	or	CCONJ
ap-936	28	64	vice	vice	NOUN
ap-936	28	65	versa	versa	ADV
ap-936	28	66	.	.	PUNCT
ap-936	29	1	to	to	PART
ap-936	29	2	avoid	avoid	VERB
ap-936	29	3	unnecessary	unnecessary	ADJ
ap-936	29	4	complications	complication	NOUN
ap-936	29	5	we	we	PRON
ap-936	29	6	will	will	AUX
ap-936	29	7	examine	examine	VERB
ap-936	29	8	the	the	DET
ap-936	29	9	most	most	ADV
ap-936	29	10	common	common	ADJ
ap-936	29	11	situation	situation	NOUN
ap-936	29	12	when	when	SCONJ
ap-936	29	13	the	the	DET
ap-936	29	14	hamiltonian	hamiltonian	NOUN
ap-936	29	15	is	be	AUX
ap-936	29	16	of	of	ADP
ap-936	29	17	the	the	DET
ap-936	29	18	form	form	NOUN
ap-936	29	19	h	h	NOUN
ap-936	29	20	h	h	NOUN
ap-936	29	21	v	v	PROPN
ap-936	29	22	(	(	PUNCT
ap-936	29	23	)	)	PUNCT
ap-936	29	24	c	c	PROPN
ap-936	29	25	c	c	X
ap-936	29	26	�	�	PROPN
ap-936	29	27	�	�	PROPN
ap-936	29	28	0	0	NUM
ap-936	29	29	(	(	PUNCT
ap-936	29	30	1	1	NUM
ap-936	29	31	)	)	PUNCT
ap-936	29	32	note	note	VERB
ap-936	29	33	that	that	SCONJ
ap-936	29	34	in	in	ADP
ap-936	29	35	spite	spite	NOUN
ap-936	29	36	of	of	ADP
ap-936	29	37	being	be	AUX
ap-936	29	38	quite	quite	ADV
ap-936	29	39	restrictive	restrictive	ADJ
ap-936	29	40	within	within	ADP
ap-936	29	41	all	all	DET
ap-936	29	42	imaginable	imaginable	ADJ
ap-936	29	43	parametric	parametric	ADJ
ap-936	29	44	dependences	dependence	NOUN
ap-936	29	45	,	,	PUNCT
ap-936	29	46	form	form	NOUN
ap-936	29	47	(	(	PUNCT
ap-936	29	48	1	1	NUM
ap-936	29	49	)	)	PUNCT
ap-936	29	50	is	be	AUX
ap-936	29	51	useful	useful	ADJ
ap-936	29	52	in	in	ADP
ap-936	29	53	a	a	DET
ap-936	29	54	broad	broad	ADJ
ap-936	29	55	class	class	NOUN
ap-936	29	56	of	of	ADP
ap-936	29	57	physical	physical	ADJ
ap-936	29	58	applications	application	NOUN
ap-936	29	59	.	.	PUNCT
ap-936	30	1	obviously	obviously	ADV
ap-936	30	2	,	,	PUNCT
ap-936	30	3	one	one	PRON
ap-936	30	4	can	can	AUX
ap-936	30	5	get	get	VERB
ap-936	30	6	other	other	ADJ
ap-936	30	7	than	than	ADP
ap-936	30	8	linear	linear	ADJ
ap-936	30	9	parametric	parametric	ADJ
ap-936	30	10	dependences	dependence	NOUN
ap-936	30	11	by	by	ADP
ap-936	30	12	means	mean	NOUN
ap-936	30	13	of	of	ADP
ap-936	30	14	reparametrisation	reparametrisation	NOUN
ap-936	30	15	.	.	PUNCT
ap-936	31	1	50	50	NUM
ap-936	31	2	©	©	PROPN
ap-936	31	3	czech	czech	PROPN
ap-936	31	4	technical	technical	PROPN
ap-936	31	5	university	university	PROPN
ap-936	31	6	publishing	publishing	NOUN
ap-936	31	7	house	house	NOUN
ap-936	31	8	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-936	31	9	acta	acta	PROPN
ap-936	31	10	polytechnica	polytechnica	PROPN
ap-936	31	11	vol	vol	NOUN
ap-936	31	12	.	.	PUNCT
ap-936	32	1	47	47	NUM
ap-936	32	2	no	no	INTJ
ap-936	32	3	.	.	PUNCT
ap-936	33	1	2–3/2007	2–3/2007	NUM
ap-936	33	2	how	how	SCONJ
ap-936	33	3	do	do	AUX
ap-936	33	4	energies	energy	NOUN
ap-936	33	5	complexify	complexify	VERB
ap-936	33	6	?	?	PUNCT
ap-936	34	1	h.	h.	PROPN
ap-936	34	2	bíla	bíla	PROPN
ap-936	34	3	some	some	DET
ap-936	34	4	particular	particular	ADJ
ap-936	34	5	properties	property	NOUN
ap-936	34	6	of	of	ADP
ap-936	34	7	the	the	DET
ap-936	34	8	parametric	parametric	ADJ
ap-936	34	9	dependence	dependence	NOUN
ap-936	34	10	of	of	ADP
ap-936	34	11	eigenvalues	eigenvalue	NOUN
ap-936	34	12	with	with	ADP
ap-936	34	13	emphasis	emphasis	NOUN
ap-936	34	14	on	on	ADP
ap-936	34	15	their	their	PRON
ap-936	34	16	complexification	complexification	NOUN
ap-936	34	17	are	be	AUX
ap-936	34	18	discussed	discuss	VERB
ap-936	34	19	.	.	PUNCT
ap-936	35	1	the	the	DET
ap-936	35	2	non	non	NOUN
ap-936	35	3	-	-	NOUN
ap-936	35	4	diagonalisability	diagonalisability	NOUN
ap-936	35	5	of	of	ADP
ap-936	35	6	�	�	PROPN
ap-936	35	7	�	�	NOUN
ap-936	35	8	-symmetric	-symmetric	ADJ
ap-936	35	9	matrix	matrix	NOUN
ap-936	35	10	hamiltonians	hamiltonian	NOUN
ap-936	35	11	in	in	ADP
ap-936	35	12	exceptional	exceptional	ADJ
ap-936	35	13	points	point	NOUN
ap-936	35	14	is	be	AUX
ap-936	35	15	compared	compare	VERB
ap-936	35	16	with	with	ADP
ap-936	35	17	level	level	NOUN
ap-936	35	18	-	-	PUNCT
ap-936	35	19	crossing	cross	VERB
ap-936	35	20	prohibition	prohibition	NOUN
ap-936	35	21	of	of	ADP
ap-936	35	22	hermitian	hermitian	ADJ
ap-936	35	23	systems	system	NOUN
ap-936	35	24	.	.	PUNCT
ap-936	36	1	for	for	ADP
ap-936	36	2	non	non	ADJ
ap-936	36	3	-	-	ADJ
ap-936	36	4	matrix	matrix	ADJ
ap-936	36	5	hamiltonians	hamiltonian	NOUN
ap-936	36	6	,	,	PUNCT
ap-936	36	7	the	the	DET
ap-936	36	8	different	different	ADJ
ap-936	36	9	way	way	NOUN
ap-936	36	10	of	of	ADP
ap-936	36	11	complexification	complexification	NOUN
ap-936	36	12	between	between	ADP
ap-936	36	13	klein	klein	PROPN
ap-936	36	14	-	-	PUNCT
ap-936	36	15	gordon	gordon	PROPN
ap-936	36	16	and	and	CCONJ
ap-936	36	17	dirac	dirac	PROPN
ap-936	36	18	hamiltonians	hamiltonian	NOUN
ap-936	36	19	is	be	AUX
ap-936	36	20	demonstrated	demonstrate	VERB
ap-936	36	21	.	.	PUNCT
ap-936	37	1	keywords	keyword	NOUN
ap-936	37	2	:	:	PUNCT
ap-936	37	3	�	�	PROPN
ap-936	37	4	�	�	PROPN
ap-936	37	5	-symmetry	-symmetry	NOUN
ap-936	37	6	,	,	PUNCT
ap-936	37	7	exceptional	exceptional	ADJ
ap-936	37	8	points	point	NOUN
ap-936	37	9	,	,	PUNCT
ap-936	37	10	dirac	dirac	NOUN
ap-936	37	11	equation	equation	NOUN
ap-936	37	12	all	all	PRON
ap-936	37	13	discussed	discuss	VERB
ap-936	37	14	hamiltonians	hamiltonian	NOUN
ap-936	37	15	will	will	AUX
ap-936	37	16	be	be	AUX
ap-936	37	17	�	�	NOUN
ap-936	37	18	�	�	NOUN
ap-936	37	19	-symmetric	-symmetric	NOUN
ap-936	37	20	.	.	PUNCT
ap-936	38	1	this	this	PRON
ap-936	38	2	means	mean	VERB
ap-936	38	3	that	that	SCONJ
ap-936	38	4	there	there	PRON
ap-936	38	5	exists	exist	VERB
ap-936	38	6	an	an	DET
ap-936	38	7	anti	anti	ADJ
ap-936	38	8	-	-	ADJ
ap-936	38	9	linear	linear	ADJ
ap-936	38	10	operator	operator	NOUN
ap-936	38	11	,	,	PUNCT
ap-936	38	12	conventionally	conventionally	ADV
ap-936	38	13	written	write	VERB
ap-936	38	14	as	as	ADP
ap-936	38	15	a	a	DET
ap-936	38	16	product	product	NOUN
ap-936	38	17	of	of	ADP
ap-936	38	18	time	time	NOUN
ap-936	38	19	reversal	reversal	PROPN
ap-936	38	20	�	�	PROPN
ap-936	38	21	and	and	CCONJ
ap-936	38	22	parity	parity	NOUN
ap-936	38	23	reflection	reflection	NOUN
ap-936	38	24	�	�	PROPN
ap-936	38	25	,	,	PUNCT
ap-936	38	26	(	(	PUNCT
ap-936	38	27	3	3	X
ap-936	38	28	)	)	PUNCT
ap-936	38	29	which	which	PRON
ap-936	38	30	commutes	commute	VERB
ap-936	38	31	with	with	ADP
ap-936	38	32	the	the	DET
ap-936	38	33	hamiltonian	hamiltonian	NOUN
ap-936	38	34	:	:	PUNCT
ap-936	38	35	�	�	PROPN
ap-936	38	36	�	�	PROPN
ap-936	38	37	�	�	PROPN
ap-936	38	38	�	�	PROPN
ap-936	38	39	h	h	PROPN
ap-936	38	40	h	h	NOUN
ap-936	38	41	(	(	PUNCT
ap-936	38	42	)	)	PUNCT
ap-936	38	43	(	(	PUNCT
ap-936	38	44	)	)	PUNCT
ap-936	38	45	c	c	NOUN
ap-936	38	46	c	c	X
ap-936	38	47	�	�	X
ap-936	38	48	(	(	PUNCT
ap-936	38	49	2	2	NUM
ap-936	38	50	)	)	PUNCT
ap-936	38	51	it	it	PRON
ap-936	38	52	is	be	AUX
ap-936	38	53	well	well	ADV
ap-936	38	54	known	know	VERB
ap-936	38	55	that	that	SCONJ
ap-936	38	56	condition	condition	NOUN
ap-936	38	57	(	(	PUNCT
ap-936	38	58	2	2	X
ap-936	38	59	)	)	PUNCT
ap-936	38	60	itself	itself	PRON
ap-936	38	61	provides	provide	VERB
ap-936	38	62	that	that	SCONJ
ap-936	38	63	the	the	DET
ap-936	38	64	discrete	discrete	ADJ
ap-936	38	65	spectrum	spectrum	NOUN
ap-936	38	66	consists	consist	VERB
ap-936	38	67	of	of	ADP
ap-936	38	68	real	real	ADJ
ap-936	38	69	eigenvalues	eigenvalue	NOUN
ap-936	38	70	and	and	CCONJ
ap-936	38	71	complex	complex	ADV
ap-936	38	72	-	-	PUNCT
ap-936	38	73	conjugated	conjugate	VERB
ap-936	38	74	pairs	pair	NOUN
ap-936	38	75	.	.	PUNCT
ap-936	39	1	thanks	thank	NOUN
ap-936	39	2	to	to	ADP
ap-936	39	3	the	the	DET
ap-936	39	4	simple	simple	ADJ
ap-936	39	5	parametric	parametric	ADJ
ap-936	39	6	dependence	dependence	NOUN
ap-936	39	7	of	of	ADP
ap-936	39	8	h	h	NOUN
ap-936	39	9	it	it	PRON
ap-936	39	10	is	be	AUX
ap-936	39	11	reasonable	reasonable	ADJ
ap-936	39	12	to	to	PART
ap-936	39	13	estimate	estimate	VERB
ap-936	39	14	that	that	SCONJ
ap-936	39	15	the	the	DET
ap-936	39	16	eigenvalues	eigenvalue	NOUN
ap-936	39	17	are	be	AUX
ap-936	39	18	continuous	continuous	ADJ
ap-936	39	19	functions	function	NOUN
ap-936	39	20	of	of	ADP
ap-936	39	21	c.(4	c.(4	PROPN
ap-936	39	22	)	)	PUNCT
ap-936	39	23	from	from	ADP
ap-936	39	24	these	these	DET
ap-936	39	25	two	two	NUM
ap-936	39	26	facts	fact	NOUN
ap-936	39	27	one	one	PRON
ap-936	39	28	can	can	AUX
ap-936	39	29	infer	infer	VERB
ap-936	39	30	that	that	SCONJ
ap-936	39	31	at	at	ADP
ap-936	39	32	the	the	DET
ap-936	39	33	exceptional	exceptional	ADJ
ap-936	39	34	point	point	NOUN
ap-936	39	35	at	at	ADV
ap-936	39	36	least	least	ADV
ap-936	39	37	two	two	NUM
ap-936	39	38	eigenvalues	eigenvalue	NOUN
ap-936	39	39	must	must	AUX
ap-936	39	40	merge	merge	VERB
ap-936	39	41	.	.	PUNCT
ap-936	40	1	hence	hence	ADV
ap-936	40	2	it	it	PRON
ap-936	40	3	could	could	AUX
ap-936	40	4	be	be	AUX
ap-936	40	5	useful	useful	ADJ
ap-936	40	6	to	to	PART
ap-936	40	7	generalise	generalise	VERB
ap-936	40	8	the	the	DET
ap-936	40	9	notion	notion	NOUN
ap-936	40	10	of	of	ADP
ap-936	40	11	eps	eps	PROPN
ap-936	40	12	to	to	ADP
ap-936	40	13	those	those	DET
ap-936	40	14	c	c	NOUN
ap-936	40	15	where	where	SCONJ
ap-936	40	16	the	the	DET
ap-936	40	17	spectrum	spectrum	NOUN
ap-936	40	18	is	be	AUX
ap-936	40	19	degenerated	degenerate	VERB
ap-936	40	20	even	even	ADV
ap-936	40	21	if	if	SCONJ
ap-936	40	22	it	it	PRON
ap-936	40	23	is	be	AUX
ap-936	40	24	real	real	ADJ
ap-936	40	25	(	(	PUNCT
ap-936	40	26	and	and	CCONJ
ap-936	40	27	non	non	ADJ
ap-936	40	28	-	-	ADJ
ap-936	40	29	degenerated	degenerated	ADJ
ap-936	40	30	)	)	PUNCT
ap-936	40	31	in	in	ADP
ap-936	40	32	the	the	DET
ap-936	40	33	neighbourhood	neighbourhood	NOUN
ap-936	40	34	of	of	ADP
ap-936	40	35	the	the	DET
ap-936	40	36	point	point	NOUN
ap-936	40	37	.	.	PUNCT
ap-936	41	1	2.1	2.1	NUM
ap-936	41	2	matrices	matrix	NOUN
ap-936	41	3	and	and	CCONJ
ap-936	41	4	avoided	avoid	VERB
ap-936	41	5	crossings	crossing	NOUN
ap-936	41	6	the	the	DET
ap-936	41	7	simplest	simple	ADJ
ap-936	41	8	case	case	NOUN
ap-936	41	9	of	of	ADP
ap-936	41	10	a	a	DET
ap-936	41	11	�	�	PROPN
ap-936	41	12	�	�	NOUN
ap-936	41	13	-symmetric	-symmetric	ADJ
ap-936	41	14	system	system	NOUN
ap-936	41	15	is	be	AUX
ap-936	41	16	a	a	DET
ap-936	41	17	parametrically	parametrically	ADV
ap-936	41	18	dependent	dependent	ADJ
ap-936	41	19	(	(	PUNCT
ap-936	41	20	finite	finite	ADJ
ap-936	41	21	-	-	ADJ
ap-936	41	22	dimensional	dimensional	ADJ
ap-936	41	23	)	)	PUNCT
ap-936	41	24	matrix	matrix	NOUN
ap-936	41	25	.	.	PUNCT
ap-936	42	1	examples	example	NOUN
ap-936	42	2	of	of	ADP
ap-936	42	3	these	these	PRON
ap-936	42	4	have	have	AUX
ap-936	42	5	been	be	AUX
ap-936	42	6	used	use	VERB
ap-936	42	7	many	many	ADJ
ap-936	42	8	times	time	NOUN
ap-936	42	9	to	to	PART
ap-936	42	10	demonstrate	demonstrate	VERB
ap-936	42	11	various	various	ADJ
ap-936	42	12	properties	property	NOUN
ap-936	42	13	of	of	ADP
ap-936	42	14	�	�	NOUN
ap-936	42	15	�	�	NOUN
ap-936	42	16	-symmetric	-symmetric	ADJ
ap-936	42	17	systems	system	NOUN
ap-936	42	18	.	.	PUNCT
ap-936	43	1	for	for	ADP
ap-936	43	2	some	some	DET
ap-936	43	3	infinite	infinite	ADJ
ap-936	43	4	-	-	PUNCT
ap-936	43	5	dimensional	dimensional	ADJ
ap-936	43	6	systems	system	NOUN
ap-936	43	7	,	,	PUNCT
ap-936	43	8	non	non	ADJ
ap-936	43	9	-	-	ADJ
ap-936	43	10	self	self	NOUN
ap-936	43	11	-	-	PUNCT
ap-936	43	12	adjointness	adjointness	NOUN
ap-936	43	13	is	be	AUX
ap-936	43	14	essential	essential	ADJ
ap-936	43	15	only	only	ADV
ap-936	43	16	in	in	ADP
ap-936	43	17	the	the	DET
ap-936	43	18	subspaces	subspace	NOUN
ap-936	43	19	spanned	span	VERB
ap-936	43	20	on	on	ADP
ap-936	43	21	the	the	DET
ap-936	43	22	lowest	low	ADJ
ap-936	43	23	-	-	PUNCT
ap-936	43	24	energy	energy	NOUN
ap-936	43	25	eigenvectors	eigenvector	NOUN
ap-936	43	26	[	[	X
ap-936	43	27	7	7	NUM
ap-936	43	28	,	,	PUNCT
ap-936	43	29	8	8	NUM
ap-936	43	30	]	]	PUNCT
ap-936	43	31	and	and	CCONJ
ap-936	43	32	matrix	matrix	NOUN
ap-936	43	33	representations	representation	NOUN
ap-936	43	34	of	of	ADP
ap-936	43	35	the	the	DET
ap-936	43	36	hamiltonian	hamiltonian	NOUN
ap-936	43	37	on	on	ADP
ap-936	43	38	this	this	DET
ap-936	43	39	subspace	subspace	NOUN
ap-936	43	40	can	can	AUX
ap-936	43	41	be	be	AUX
ap-936	43	42	considered	consider	VERB
ap-936	43	43	as	as	ADP
ap-936	43	44	a	a	DET
ap-936	43	45	good	good	ADJ
ap-936	43	46	approximation	approximation	NOUN
ap-936	43	47	to	to	ADP
ap-936	43	48	the	the	DET
ap-936	43	49	complete	complete	ADJ
ap-936	43	50	problem	problem	NOUN
ap-936	43	51	.	.	PUNCT
ap-936	44	1	because	because	SCONJ
ap-936	44	2	for	for	ADP
ap-936	44	3	matrices	matrix	NOUN
ap-936	44	4	of	of	ADP
ap-936	44	5	form	form	NOUN
ap-936	44	6	(	(	PUNCT
ap-936	44	7	1	1	X
ap-936	44	8	)	)	PUNCT
ap-936	44	9	the	the	DET
ap-936	44	10	eigenvalues	eigenvalue	NOUN
ap-936	44	11	are	be	AUX
ap-936	44	12	always	always	ADV
ap-936	44	13	continuous	continuous	ADJ
ap-936	44	14	functions	function	NOUN
ap-936	44	15	of	of	ADP
ap-936	44	16	c	c	PROPN
ap-936	44	17	and	and	CCONJ
ap-936	44	18	their	their	PRON
ap-936	44	19	total	total	ADJ
ap-936	44	20	number	number	NOUN
ap-936	44	21	is	be	AUX
ap-936	44	22	fixed	fix	VERB
ap-936	44	23	,	,	PUNCT
ap-936	44	24	complexification	complexification	NOUN
ap-936	44	25	can	can	AUX
ap-936	44	26	clearly	clearly	ADV
ap-936	44	27	happen	happen	VERB
ap-936	44	28	only	only	ADV
ap-936	44	29	in	in	ADP
ap-936	44	30	two	two	NUM
ap-936	44	31	ways	way	NOUN
ap-936	44	32	.	.	PUNCT
ap-936	45	1	in	in	ADP
ap-936	45	2	the	the	DET
ap-936	45	3	first	first	ADJ
ap-936	45	4	case	case	NOUN
ap-936	45	5	,	,	PUNCT
ap-936	45	6	at	at	ADP
ap-936	45	7	the	the	DET
ap-936	45	8	exceptional	exceptional	ADJ
ap-936	45	9	point	point	NOUN
ap-936	45	10	there	there	PRON
ap-936	45	11	is	be	VERB
ap-936	45	12	an	an	DET
ap-936	45	13	n	n	ADV
ap-936	45	14	-	-	PUNCT
ap-936	45	15	dimensional	dimensional	ADJ
ap-936	45	16	degenerate	degenerate	ADJ
ap-936	45	17	subspace	subspace	NOUN
ap-936	45	18	with	with	ADP
ap-936	45	19	n	n	CCONJ
ap-936	45	20	independent	independent	ADJ
ap-936	45	21	eigenvectors	eigenvector	NOUN
ap-936	45	22	.	.	PUNCT
ap-936	46	1	in	in	ADP
ap-936	46	2	the	the	DET
ap-936	46	3	second	second	ADJ
ap-936	46	4	case	case	NOUN
ap-936	46	5	,	,	PUNCT
ap-936	46	6	there	there	PRON
ap-936	46	7	are	be	VERB
ap-936	46	8	only	only	ADV
ap-936	46	9	n	n	ADV
ap-936	46	10	k	k	X
ap-936	46	11	�	�	X
ap-936	46	12	independent	independent	ADJ
ap-936	46	13	eigenvectors	eigenvector	NOUN
ap-936	46	14	with	with	ADP
ap-936	46	15	k	k	PROPN
ap-936	46	16	�	�	PROPN
ap-936	46	17	0	0	PUNCT
ap-936	47	1	and	and	CCONJ
ap-936	47	2	there	there	PRON
ap-936	47	3	is	be	VERB
ap-936	47	4	thus	thus	ADV
ap-936	47	5	a	a	DET
ap-936	47	6	jordan	jordan	PROPN
ap-936	47	7	-	-	PUNCT
ap-936	47	8	block	block	NOUN
ap-936	47	9	structure	structure	NOUN
ap-936	47	10	.	.	PUNCT
ap-936	48	1	the	the	DET
ap-936	48	2	important	important	ADJ
ap-936	48	3	thing	thing	NOUN
ap-936	48	4	now	now	ADV
ap-936	48	5	is	be	AUX
ap-936	48	6	that	that	SCONJ
ap-936	48	7	the	the	DET
ap-936	48	8	former	former	ADJ
ap-936	48	9	case	case	NOUN
ap-936	48	10	,	,	PUNCT
ap-936	48	11	let	let	VERB
ap-936	48	12	us	we	PRON
ap-936	48	13	call	call	VERB
ap-936	48	14	it	it	PRON
ap-936	48	15	diagonalisable	diagonalisable	ADJ
ap-936	48	16	ep	ep	PROPN
ap-936	48	17	,	,	PUNCT
ap-936	48	18	is	be	AUX
ap-936	48	19	much	much	ADV
ap-936	48	20	rarer	rare	ADJ
ap-936	48	21	than	than	ADP
ap-936	48	22	the	the	DET
ap-936	48	23	latter	latter	ADJ
ap-936	48	24	(	(	PUNCT
ap-936	48	25	non	non	ADJ
ap-936	48	26	-	-	ADJ
ap-936	48	27	diagonalisable	diagonalisable	ADJ
ap-936	48	28	)	)	PUNCT
ap-936	48	29	.	.	PUNCT
ap-936	49	1	to	to	PART
ap-936	49	2	see	see	VERB
ap-936	49	3	this	this	PRON
ap-936	49	4	,	,	PUNCT
ap-936	49	5	let	let	VERB
ap-936	49	6	us	we	PRON
ap-936	49	7	first	first	ADV
ap-936	49	8	examine	examine	VERB
ap-936	49	9	the	the	DET
ap-936	49	10	simplest	simple	ADJ
ap-936	49	11	2×2	2×2	NUM
ap-936	49	12	matrix	matrix	NOUN
ap-936	49	13	case	case	NOUN
ap-936	49	14	.	.	PUNCT
ap-936	50	1	a	a	DET
ap-936	50	2	two	two	NUM
ap-936	50	3	-	-	PUNCT
ap-936	50	4	dimensional	dimensional	ADJ
ap-936	50	5	diagonalisable	diagonalisable	ADJ
ap-936	50	6	matrix	matrix	NOUN
ap-936	50	7	with	with	ADP
ap-936	50	8	a	a	DET
ap-936	50	9	degenerated	degenerated	ADJ
ap-936	50	10	spectrum	spectrum	NOUN
ap-936	50	11	is	be	AUX
ap-936	50	12	a	a	DET
ap-936	50	13	multiple	multiple	NOUN
ap-936	50	14	of	of	ADP
ap-936	50	15	the	the	DET
ap-936	50	16	unit	unit	NOUN
ap-936	50	17	matrix	matrix	NOUN
ap-936	50	18	and	and	CCONJ
ap-936	50	19	so	so	ADV
ap-936	50	20	if	if	SCONJ
ap-936	50	21	one	one	PRON
ap-936	50	22	assumes	assume	VERB
ap-936	50	23	diagonalisable	diagonalisable	ADJ
ap-936	50	24	ep	ep	PROPN
ap-936	50	25	at	at	ADP
ap-936	50	26	cep	cep	ADV
ap-936	50	27	,	,	PUNCT
ap-936	50	28	then	then	ADV
ap-936	50	29	h	h	PROPN
ap-936	50	30	i	i	NOUN
ap-936	50	31	(	(	PUNCT
ap-936	50	32	)	)	PUNCT
ap-936	50	33	c	c	NOUN
ap-936	50	34	kep	kep	X
ap-936	50	35	�	�	PROPN
ap-936	50	36	and	and	CCONJ
ap-936	50	37	thus	thus	ADV
ap-936	50	38	h	h	NOUN
ap-936	51	1	i	i	PRON
ap-936	51	2	v0	v0	PROPN
ap-936	51	3	�	�	PROPN
ap-936	51	4	�	�	PROPN
ap-936	51	5	�	�	PROPN
ap-936	51	6	k	k	PROPN
ap-936	51	7	c	c	PROPN
ap-936	51	8	c	c	X
ap-936	51	9	(	(	PUNCT
ap-936	51	10	)	)	PUNCT
ap-936	51	11	ep	ep	PROPN
ap-936	51	12	.	.	PUNCT
ap-936	52	1	(	(	PUNCT
ap-936	52	2	3	3	X
ap-936	52	3	)	)	PUNCT
ap-936	52	4	the	the	DET
ap-936	52	5	consequence	consequence	NOUN
ap-936	52	6	is	be	AUX
ap-936	52	7	that	that	DET
ap-936	52	8	h0	h0	PROPN
ap-936	52	9	and	and	CCONJ
ap-936	52	10	v	v	ADP
ap-936	52	11	commute	commute	NOUN
ap-936	52	12	.	.	PUNCT
ap-936	53	1	this	this	PRON
ap-936	53	2	is	be	AUX
ap-936	53	3	something	something	PRON
ap-936	53	4	that	that	PRON
ap-936	53	5	is	be	AUX
ap-936	53	6	not	not	PART
ap-936	53	7	satisfied	satisfied	ADJ
ap-936	53	8	in	in	ADP
ap-936	53	9	almost	almost	ADV
ap-936	53	10	all	all	PRON
ap-936	53	11	physical	physical	ADJ
ap-936	53	12	situations	situation	NOUN
ap-936	53	13	.	.	PUNCT
ap-936	54	1	however	however	ADV
ap-936	54	2	it	it	PRON
ap-936	54	3	must	must	AUX
ap-936	54	4	be	be	AUX
ap-936	54	5	emphasised	emphasise	VERB
ap-936	54	6	that	that	SCONJ
ap-936	54	7	although	although	SCONJ
ap-936	54	8	the	the	DET
ap-936	54	9	commutativity	commutativity	NOUN
ap-936	54	10	of	of	ADP
ap-936	54	11	h0	h0	NOUN
ap-936	54	12	and	and	CCONJ
ap-936	54	13	v	v	NOUN
ap-936	54	14	is	be	AUX
ap-936	54	15	a	a	DET
ap-936	54	16	sufficient	sufficient	ADJ
ap-936	54	17	condition	condition	NOUN
ap-936	54	18	for	for	ADP
ap-936	54	19	the	the	DET
ap-936	54	20	existence	existence	NOUN
ap-936	54	21	of	of	ADP
ap-936	54	22	diagonalisable	diagonalisable	ADJ
ap-936	54	23	eps	ep	NOUN
ap-936	54	24	in	in	ADP
ap-936	54	25	any	any	DET
ap-936	54	26	dimension	dimension	NOUN
ap-936	54	27	of	of	ADP
ap-936	54	28	hilbert	hilbert	NOUN
ap-936	54	29	space	space	NOUN
ap-936	54	30	,	,	PUNCT
ap-936	54	31	it	it	PRON
ap-936	54	32	is	be	AUX
ap-936	54	33	a	a	DET
ap-936	54	34	necessary	necessary	ADJ
ap-936	54	35	condition	condition	NOUN
ap-936	54	36	for	for	ADP
ap-936	54	37	that	that	PRON
ap-936	54	38	only	only	ADV
ap-936	54	39	in	in	ADP
ap-936	54	40	the	the	DET
ap-936	54	41	case	case	NOUN
ap-936	54	42	of	of	ADP
ap-936	54	43	two	two	NUM
ap-936	54	44	dimensional	dimensional	ADJ
ap-936	54	45	systems	system	NOUN
ap-936	54	46	.	.	PUNCT
ap-936	55	1	the	the	DET
ap-936	55	2	stated	state	VERB
ap-936	55	3	argument	argument	NOUN
ap-936	55	4	can	can	AUX
ap-936	55	5	not	not	PART
ap-936	55	6	be	be	AUX
ap-936	55	7	easily	easily	ADV
ap-936	55	8	generalised	generalise	VERB
ap-936	55	9	to	to	ADP
ap-936	55	10	more	more	ADJ
ap-936	55	11	dimensions	dimension	NOUN
ap-936	55	12	,	,	PUNCT
ap-936	55	13	and	and	CCONJ
ap-936	55	14	it	it	PRON
ap-936	55	15	needs	need	VERB
ap-936	55	16	a	a	DET
ap-936	55	17	different	different	ADJ
ap-936	55	18	approach	approach	NOUN
ap-936	55	19	to	to	PART
ap-936	55	20	see	see	VERB
ap-936	55	21	the	the	DET
ap-936	55	22	reasons	reason	NOUN
ap-936	55	23	why	why	SCONJ
ap-936	55	24	diagonalisable	diagonalisable	ADJ
ap-936	55	25	eps	ep	NOUN
ap-936	55	26	are	be	AUX
ap-936	55	27	“	"	PUNCT
ap-936	55	28	prohibited	prohibit	VERB
ap-936	55	29	”	"	PUNCT
ap-936	55	30	.	.	PUNCT
ap-936	56	1	hermitian	hermitian	ADJ
ap-936	56	2	matrices	matrix	NOUN
ap-936	56	3	are	be	AUX
ap-936	56	4	always	always	ADV
ap-936	56	5	diagonalisable	diagonalisable	ADJ
ap-936	56	6	and	and	CCONJ
ap-936	56	7	thus	thus	ADV
ap-936	56	8	the	the	DET
ap-936	56	9	only	only	ADJ
ap-936	56	10	ep	ep	PROPN
ap-936	56	11	that	that	PRON
ap-936	56	12	can	can	AUX
ap-936	56	13	occur	occur	VERB
ap-936	56	14	in	in	ADP
ap-936	56	15	a	a	DET
ap-936	56	16	hermitian	hermitian	ADJ
ap-936	56	17	parametrically	parametrically	ADV
ap-936	56	18	dependent	dependent	ADJ
ap-936	56	19	system	system	NOUN
ap-936	56	20	is	be	AUX
ap-936	56	21	a	a	DET
ap-936	56	22	diagonalisable	diagonalisable	ADJ
ap-936	56	23	one	one	NOUN
ap-936	56	24	,	,	PUNCT
ap-936	56	25	which	which	PRON
ap-936	56	26	is	be	AUX
ap-936	56	27	usually	usually	ADV
ap-936	56	28	referred	refer	VERB
ap-936	56	29	to	to	ADP
ap-936	56	30	as	as	ADP
ap-936	56	31	a	a	DET
ap-936	56	32	level	level	NOUN
ap-936	56	33	crossing	crossing	NOUN
ap-936	56	34	.	.	PUNCT
ap-936	57	1	that	that	DET
ap-936	57	2	level	level	NOUN
ap-936	57	3	crossings	crossing	NOUN
ap-936	57	4	are	be	AUX
ap-936	57	5	in	in	ADP
ap-936	57	6	some	some	DET
ap-936	57	7	way	way	NOUN
ap-936	57	8	avoided	avoid	VERB
ap-936	57	9	for	for	ADP
ap-936	57	10	hermitian	hermitian	ADJ
ap-936	57	11	systems	system	NOUN
ap-936	57	12	is	be	AUX
ap-936	57	13	well	well	ADV
ap-936	57	14	known	know	VERB
ap-936	57	15	,	,	PUNCT
ap-936	57	16	but	but	CCONJ
ap-936	57	17	because	because	SCONJ
ap-936	57	18	the	the	DET
ap-936	57	19	mechanism	mechanism	NOUN
ap-936	57	20	of	of	ADP
ap-936	57	21	this	this	PRON
ap-936	57	22	is	be	AUX
ap-936	57	23	exactly	exactly	ADV
ap-936	57	24	the	the	DET
ap-936	57	25	same	same	ADJ
ap-936	57	26	as	as	ADP
ap-936	57	27	the	the	DET
ap-936	57	28	mechanism	mechanism	NOUN
ap-936	57	29	protecting	protect	VERB
ap-936	57	30	against	against	ADP
ap-936	57	31	diagonalisable	diagonalisable	ADJ
ap-936	57	32	complexification	complexification	NOUN
ap-936	57	33	in	in	ADP
ap-936	57	34	the	the	DET
ap-936	57	35	�	�	PROPN
ap-936	57	36	�	�	NOUN
ap-936	57	37	-symmetric	-symmetric	NOUN
ap-936	57	38	case	case	NOUN
ap-936	57	39	,	,	PUNCT
ap-936	57	40	let	let	VERB
ap-936	57	41	us	we	PRON
ap-936	57	42	formulate	formulate	VERB
ap-936	57	43	the	the	DET
ap-936	57	44	statement	statement	NOUN
ap-936	57	45	more	more	ADV
ap-936	57	46	precisely	precisely	ADV
ap-936	57	47	.	.	PUNCT
ap-936	58	1	for	for	ADP
ap-936	58	2	the	the	DET
ap-936	58	3	purposes	purpose	NOUN
ap-936	58	4	of	of	ADP
ap-936	58	5	this	this	DET
ap-936	58	6	article	article	NOUN
ap-936	58	7	,	,	PUNCT
ap-936	58	8	the	the	DET
ap-936	58	9	following	follow	VERB
ap-936	58	10	formulation	formulation	NOUN
ap-936	58	11	of	of	ADP
ap-936	58	12	the	the	DET
ap-936	58	13	“	"	PUNCT
ap-936	58	14	no	no	DET
ap-936	58	15	-	-	PUNCT
ap-936	58	16	crossing	crossing	NOUN
ap-936	58	17	”	"	PUNCT
ap-936	58	18	theorem	theorem	NOUN
ap-936	58	19	will	will	AUX
ap-936	58	20	be	be	AUX
ap-936	58	21	sufficient	sufficient	ADJ
ap-936	58	22	:	:	PUNCT
ap-936	58	23	let	let	VERB
ap-936	58	24	�	�	PROPN
ap-936	58	25	be	be	AUX
ap-936	58	26	a	a	DET
ap-936	58	27	set	set	NOUN
ap-936	58	28	of	of	ADP
ap-936	58	29	all	all	DET
ap-936	58	30	n	n	CCONJ
ap-936	58	31	-	-	PUNCT
ap-936	58	32	dimensional	dimensional	ADJ
ap-936	58	33	hermitian	hermitian	ADJ
ap-936	58	34	matrices	matrix	NOUN
ap-936	58	35	and	and	CCONJ
ap-936	58	36	s	s	NOUN
ap-936	58	37	n	n	CCONJ
ap-936	58	38	:	:	PUNCT
ap-936	58	39	�	�	PROPN
ap-936	58	40	�	�	PROPN
ap-936	58	41	2	2	NUM
ap-936	58	42	be	be	AUX
ap-936	58	43	a	a	DET
ap-936	58	44	mapping	mapping	NOUN
ap-936	58	45	that	that	PRON
ap-936	58	46	maps	map	VERB
ap-936	58	47	any	any	DET
ap-936	58	48	v	v	ADP
ap-936	58	49	�	�	PROPN
ap-936	58	50	with	with	ADP
ap-936	58	51	entries	entry	NOUN
ap-936	58	52	vij	vij	PROPN
ap-936	58	53	to	to	ADP
ap-936	58	54	the	the	DET
ap-936	58	55	vector	vector	NOUN
ap-936	58	56	s	s	PROPN
ap-936	58	57	v	v	NUM
ap-936	58	58	v	v	NUM
ap-936	58	59	v	v	NUM
ap-936	58	60	v	v	NUM
ap-936	58	61	v	v	NOUN
ap-936	58	62	v	v	ADP
ap-936	58	63	vn	vn	PROPN
ap-936	58	64	nn	nn	PROPN
ap-936	58	65	(	(	PUNCT
ap-936	58	66	)	)	PUNCT
ap-936	58	67	(	(	PUNCT
ap-936	58	68	,	,	PUNCT
ap-936	58	69	,	,	PUNCT
ap-936	58	70	,	,	PUNCT
ap-936	58	71	,	,	PUNCT
ap-936	58	72	,	,	PUNCT
ap-936	58	73	,	,	PUNCT
ap-936	58	74	,	,	PUNCT
ap-936	58	75	,	,	PUNCT
ap-936	58	76	)	)	PUNCT
ap-936	58	77	v	v	PROPN
ap-936	58	78	�	�	PROPN
ap-936	58	79	�	�	PROPN
ap-936	58	80	�	�	PROPN
ap-936	58	81	�	�	PROPN
ap-936	58	82	�	�	PROPN
ap-936	58	83	11	11	NUM
ap-936	58	84	12	12	NUM
ap-936	58	85	12	12	NUM
ap-936	58	86	1	1	NUM
ap-936	58	87	22	22	NUM
ap-936	58	88	23	23	NUM
ap-936	58	89	�	�	PROPN
ap-936	58	90	�	�	PROPN
ap-936	58	91	.	.	PUNCT
ap-936	59	1	(	(	PUNCT
ap-936	59	2	4	4	X
ap-936	59	3	)	)	PUNCT
ap-936	59	4	let	let	VERB
ap-936	59	5	h0	h0	NOUN
ap-936	59	6	then	then	ADV
ap-936	59	7	be	be	AUX
ap-936	59	8	a	a	DET
ap-936	59	9	fixed	fix	VERB
ap-936	59	10	hermitian	hermitian	ADJ
ap-936	59	11	operator	operator	NOUN
ap-936	59	12	and	and	CCONJ
ap-936	59	13	�	�	PROPN
ap-936	59	14	c	c	PROPN
ap-936	59	15	be	be	VERB
ap-936	59	16	a	a	DET
ap-936	59	17	subset	subset	NOUN
ap-936	59	18	of	of	ADP
ap-936	59	19	�	�	PROPN
ap-936	59	20	such	such	ADJ
ap-936	59	21	that	that	PRON
ap-936	59	22	for	for	ADP
ap-936	59	23	all	all	PRON
ap-936	59	24	v	v	ADP
ap-936	59	25	�	�	NOUN
ap-936	59	26	c	c	NOUN
ap-936	59	27	the	the	DET
ap-936	59	28	operatorh	operatorh	PROPN
ap-936	59	29	v0	v0	PROPN
ap-936	59	30	�	�	PROPN
ap-936	59	31	c	c	PROPN
ap-936	59	32	has	have	VERB
ap-936	59	33	a	a	DET
ap-936	59	34	level	level	NOUN
ap-936	59	35	crossing	crossing	NOUN
ap-936	59	36	for	for	ADP
ap-936	59	37	at	at	ADV
ap-936	59	38	least	least	ADV
ap-936	59	39	one	one	NUM
ap-936	59	40	c	c	PROPN
ap-936	59	41	�	�	PROPN
ap-936	59	42	.	.	PUNCT
ap-936	60	1	thens	then	VERB
ap-936	60	2	(	(	PUNCT
ap-936	60	3	)	)	PUNCT
ap-936	60	4	�	�	PROPN
ap-936	60	5	c	c	PROPN
ap-936	60	6	has	have	VERB
ap-936	60	7	zero	zero	NUM
ap-936	60	8	measure	measure	NOUN
ap-936	60	9	in	in	ADP
ap-936	60	10	�	�	PROPN
ap-936	60	11	n	n	CCONJ
ap-936	60	12	2	2	NUM
ap-936	60	13	.(5	.(5	NOUN
ap-936	60	14	)	)	PUNCT
ap-936	60	15	the	the	DET
ap-936	60	16	message	message	NOUN
ap-936	60	17	of	of	ADP
ap-936	60	18	the	the	DET
ap-936	60	19	theorem	theorem	NOUN
ap-936	60	20	is	be	AUX
ap-936	60	21	that	that	SCONJ
ap-936	60	22	parametrically	parametrically	ADV
ap-936	60	23	dependent	dependent	ADJ
ap-936	60	24	matrices	matrix	NOUN
ap-936	60	25	of	of	ADP
ap-936	60	26	the	the	DET
ap-936	60	27	form	form	NOUN
ap-936	60	28	(	(	PUNCT
ap-936	60	29	1	1	X
ap-936	60	30	)	)	PUNCT
ap-936	60	31	which	which	PRON
ap-936	60	32	have	have	VERB
ap-936	60	33	a	a	DET
ap-936	60	34	level	level	NOUN
ap-936	60	35	crossing	crossing	NOUN
ap-936	60	36	are	be	AUX
ap-936	60	37	extremely	extremely	ADV
ap-936	60	38	rare	rare	ADJ
ap-936	60	39	in	in	ADP
ap-936	60	40	the	the	DET
ap-936	60	41	sense	sense	NOUN
ap-936	60	42	that	that	SCONJ
ap-936	60	43	they	they	PRON
ap-936	60	44	constitute	constitute	VERB
ap-936	60	45	a	a	DET
ap-936	60	46	zero	zero	NUM
ap-936	60	47	-	-	PUNCT
ap-936	60	48	measure	measure	NOUN
ap-936	60	49	subset	subset	NOUN
ap-936	60	50	of	of	ADP
ap-936	60	51	all	all	DET
ap-936	60	52	possible	possible	ADJ
ap-936	60	53	matrices	matrix	NOUN
ap-936	60	54	of	of	ADP
ap-936	60	55	the	the	DET
ap-936	60	56	considered	consider	VERB
ap-936	60	57	type	type	NOUN
ap-936	60	58	.	.	PUNCT
ap-936	61	1	a	a	DET
ap-936	61	2	sketch	sketch	NOUN
ap-936	61	3	of	of	ADP
ap-936	61	4	the	the	DET
ap-936	61	5	proof	proof	NOUN
ap-936	61	6	can	can	AUX
ap-936	61	7	be	be	AUX
ap-936	61	8	outlined	outline	VERB
ap-936	61	9	as	as	SCONJ
ap-936	61	10	follows	follow	VERB
ap-936	61	11	:	:	PUNCT
ap-936	61	12	the	the	DET
ap-936	61	13	characteristic	characteristic	ADJ
ap-936	61	14	polynomial	polynomial	ADJ
ap-936	61	15	�	�	PROPN
ap-936	61	16	(	(	PUNCT
ap-936	61	17	)	)	PUNCT
ap-936	61	18	det(e	det(e	PROPN
ap-936	61	19	c	c	X
ap-936	61	20	e	e	PROPN
ap-936	61	21	�	�	PROPN
ap-936	61	22	�	�	PROPN
ap-936	61	23	�	�	PROPN
ap-936	61	24	h	h	NOUN
ap-936	61	25	v	v	ADJ
ap-936	61	26	i)0	i)0	PROPN
ap-936	61	27	(	(	PUNCT
ap-936	61	28	5	5	NUM
ap-936	61	29	)	)	PUNCT
ap-936	61	30	of	of	ADP
ap-936	61	31	a	a	DET
ap-936	61	32	hermitian	hermitian	ADJ
ap-936	61	33	matrix	matrix	NOUN
ap-936	61	34	is	be	AUX
ap-936	61	35	real	real	ADJ
ap-936	61	36	for	for	ADP
ap-936	61	37	all	all	DET
ap-936	61	38	real	real	ADJ
ap-936	61	39	c	c	PROPN
ap-936	61	40	and	and	CCONJ
ap-936	61	41	e.	e.	PROPN
ap-936	61	42	it	it	PRON
ap-936	61	43	must	must	AUX
ap-936	61	44	have	have	VERB
ap-936	61	45	a	a	DET
ap-936	61	46	multiple	multiple	ADJ
ap-936	61	47	root	root	NOUN
ap-936	61	48	in	in	ADP
ap-936	61	49	an	an	DET
ap-936	61	50	exceptional	exceptional	ADJ
ap-936	61	51	point	point	NOUN
ap-936	61	52	,	,	PUNCT
ap-936	61	53	which	which	PRON
ap-936	61	54	is	be	AUX
ap-936	61	55	otherwise	otherwise	ADV
ap-936	61	56	stated	state	VERB
ap-936	61	57	as	as	ADP
ap-936	61	58	�	�	PROPN
ap-936	61	59	(	(	PUNCT
ap-936	61	60	)	)	PUNCT
ap-936	61	61	cep	cep	X
ap-936	61	62	�	�	PROPN
ap-936	61	63	0	0	NUM
ap-936	61	64	,	,	PUNCT
ap-936	61	65	(	(	PUNCT
ap-936	61	66	6	6	NUM
ap-936	61	67	)	)	PUNCT
ap-936	61	68	�	�	PROPN
ap-936	61	69	�	�	PROPN
ap-936	61	70	�	�	PROPN
ap-936	61	71	e	e	PROPN
ap-936	61	72	cep	cep	X
ap-936	61	73	�	�	PROPN
ap-936	61	74	0	0	NUM
ap-936	61	75	.	.	PUNCT
ap-936	62	1	(	(	PUNCT
ap-936	62	2	7	7	X
ap-936	62	3	)	)	PUNCT
ap-936	62	4	the	the	DET
ap-936	62	5	dependence	dependence	NOUN
ap-936	62	6	of	of	ADP
ap-936	62	7	�	�	PROPN
ap-936	62	8	on	on	ADP
ap-936	62	9	c	c	PROPN
ap-936	62	10	is	be	AUX
ap-936	62	11	polynomial	polynomial	ADJ
ap-936	62	12	and	and	CCONJ
ap-936	62	13	thus	thus	ADV
ap-936	62	14	smooth	smooth	ADJ
ap-936	62	15	and	and	CCONJ
ap-936	62	16	therefore	therefore	ADV
ap-936	62	17	also	also	ADV
ap-936	62	18	�	�	PROPN
ap-936	62	19	�	�	PROPN
ap-936	62	20	�	�	PROPN
ap-936	63	1	c	c	PROPN
ap-936	63	2	cep	cep	X
ap-936	63	3	�	�	PROPN
ap-936	63	4	0	0	NUM
ap-936	63	5	;	;	PUNCT
ap-936	63	6	(	(	PUNCT
ap-936	63	7	8)	8)	NUM
ap-936	63	8	otherwise	otherwise	ADV
ap-936	63	9	�	�	PROPN
ap-936	63	10	would	would	AUX
ap-936	63	11	have	have	VERB
ap-936	63	12	complex	complex	ADJ
ap-936	63	13	roots	root	NOUN
ap-936	63	14	at	at	ADP
ap-936	63	15	cep	cep	X
ap-936	63	16	�	�	PROPN
ap-936	63	17	�	�	PROPN
ap-936	63	18	for	for	ADP
ap-936	63	19	some	some	DET
ap-936	63	20	non	non	ADJ
ap-936	63	21	-	-	ADJ
ap-936	63	22	zero	zero	ADJ
ap-936	63	23	small	small	ADJ
ap-936	63	24	�	�	PROPN
ap-936	63	25	.	.	PUNCT
ap-936	64	1	now	now	ADV
ap-936	64	2	,	,	PUNCT
ap-936	64	3	having	have	VERB
ap-936	64	4	a	a	DET
ap-936	64	5	given	give	VERB
ap-936	64	6	h0	h0	NOUN
ap-936	64	7	,	,	PUNCT
ap-936	64	8	let	let	VERB
ap-936	64	9	us	we	PRON
ap-936	64	10	choose	choose	VERB
ap-936	64	11	any	any	DET
ap-936	64	12	cep	cep	NOUN
ap-936	64	13	and	and	CCONJ
ap-936	64	14	eep	eep	NOUN
ap-936	64	15	and	and	CCONJ
ap-936	64	16	find	find	VERB
ap-936	64	17	any	any	DET
ap-936	64	18	matrix	matrix	NOUN
ap-936	64	19	�	�	NOUN
ap-936	64	20	such	such	ADJ
ap-936	64	21	that	that	SCONJ
ap-936	64	22	h	h	PROPN
ap-936	64	23	v0	v0	PROPN
ap-936	64	24	�	�	PROPN
ap-936	64	25	c	c	PROPN
ap-936	64	26	has	have	VERB
ap-936	64	27	an	an	DET
ap-936	64	28	ep	ep	PROPN
ap-936	64	29	at	at	ADP
ap-936	64	30	c0	c0	PROPN
ap-936	64	31	with	with	ADP
ap-936	64	32	the	the	DET
ap-936	64	33	energy	energy	NOUN
ap-936	64	34	eep.(6	eep.(6	NOUN
ap-936	64	35	)	)	PUNCT
ap-936	64	36	one	one	NOUN
ap-936	64	37	may	may	AUX
ap-936	64	38	ask	ask	VERB
ap-936	64	39	what	what	PRON
ap-936	64	40	happens	happen	VERB
ap-936	64	41	with	with	ADP
ap-936	64	42	the	the	DET
ap-936	64	43	eigenvalues	eigenvalue	NOUN
ap-936	64	44	if	if	SCONJ
ap-936	64	45	the	the	DET
ap-936	64	46	matrix	matrix	NOUN
ap-936	64	47	elements	element	NOUN
ap-936	64	48	of	of	ADP
ap-936	64	49	v	v	NOUN
ap-936	64	50	(	(	PUNCT
ap-936	64	51	or	or	CCONJ
ap-936	64	52	better	well	ADJ
ap-936	64	53	the	the	DET
ap-936	64	54	components	component	NOUN
ap-936	64	55	xi	xi	X
ap-936	64	56	of	of	ADP
ap-936	64	57	the	the	DET
ap-936	64	58	vector	vector	NOUN
ap-936	64	59	x	x	X
ap-936	64	60	s	s	PROPN
ap-936	64	61	(	(	PUNCT
ap-936	64	62	)	)	PUNCT
ap-936	64	63	v	v	NOUN
ap-936	64	64	)	)	PUNCT
ap-936	64	65	and	and	CCONJ
ap-936	64	66	the	the	DET
ap-936	64	67	parameter	parameter	NOUN
ap-936	64	68	c	c	PROPN
ap-936	64	69	are	be	AUX
ap-936	64	70	slightly	slightly	ADV
ap-936	64	71	varied	varied	ADJ
ap-936	64	72	around	around	ADP
ap-936	64	73	the	the	DET
ap-936	64	74	selected	select	VERB
ap-936	64	75	point	point	NOUN
ap-936	64	76	.	.	PUNCT
ap-936	65	1	in	in	ADP
ap-936	65	2	the	the	DET
ap-936	65	3	(	(	PUNCT
ap-936	65	4	)	)	PUNCT
ap-936	65	5	n2	n2	ADJ
ap-936	65	6	2	2	NUM
ap-936	65	7	�	�	PROPN
ap-936	65	8	-dimensional	-dimensional	ADJ
ap-936	65	9	space	space	NOUN
ap-936	65	10	of	of	ADP
ap-936	65	11	variables	variable	NOUN
ap-936	65	12	xi	xi	PROPN
ap-936	65	13	,	,	PUNCT
ap-936	65	14	c	c	PROPN
ap-936	65	15	and	and	CCONJ
ap-936	65	16	e	e	NOUN
ap-936	65	17	the	the	DET
ap-936	65	18	eigenvalues	eigenvalue	NOUN
ap-936	65	19	are	be	AUX
ap-936	65	20	located	locate	VERB
ap-936	65	21	on	on	ADP
ap-936	65	22	the	the	DET
ap-936	65	23	subset	subset	NOUN
ap-936	65	24	where	where	SCONJ
ap-936	65	25	�	�	PROPN
ap-936	65	26	(	(	PUNCT
ap-936	65	27	,	,	PUNCT
ap-936	65	28	,	,	PUNCT
ap-936	65	29	)	)	PUNCT
ap-936	65	30	x	x	PUNCT
ap-936	65	31	c	c	NOUN
ap-936	65	32	e	e	NOUN
ap-936	65	33	,	,	PUNCT
ap-936	65	34	therefore	therefore	ADV
ap-936	65	35	one	one	PRON
ap-936	65	36	needs	need	VERB
ap-936	65	37	to	to	PART
ap-936	65	38	solve	solve	VERB
ap-936	65	39	the	the	DET
ap-936	65	40	differential	differential	ADJ
ap-936	65	41	equation	equation	NOUN
ap-936	65	42	0	0	NUM
ap-936	65	43	�	�	PROPN
ap-936	65	44	�	�	PROPN
ap-936	65	45	�	�	PROPN
ap-936	65	46	�	�	PROPN
ap-936	65	47	�	�	PROPN
ap-936	65	48	d	d	PROPN
ap-936	65	49	d	d	PROPN
ap-936	65	50	d	d	X
ap-936	65	51	d	d	PROPN
ap-936	65	52	�	�	PROPN
ap-936	65	53	�	�	PROPN
ap-936	65	54	�	�	PROPN
ap-936	65	55	�	�	PROPN
ap-936	65	56	�	�	PROPN
ap-936	65	57	�	�	PROPN
ap-936	65	58	�	�	PROPN
ap-936	65	59	�	�	PROPN
ap-936	65	60	(	(	PUNCT
ap-936	65	61	)	)	PUNCT
ap-936	65	62	x	x	PUNCT
ap-936	65	63	e	e	NOUN
ap-936	65	64	e	e	X
ap-936	65	65	c	c	PROPN
ap-936	65	66	cx	cx	PROPN
ap-936	65	67	.	.	PUNCT
ap-936	66	1	(	(	PUNCT
ap-936	66	2	9	9	NUM
ap-936	66	3	)	)	PUNCT
ap-936	66	4	from	from	ADP
ap-936	66	5	(	(	PUNCT
ap-936	66	6	6	6	NUM
ap-936	66	7	)	)	PUNCT
ap-936	66	8	and	and	CCONJ
ap-936	66	9	(	(	PUNCT
ap-936	66	10	7	7	X
ap-936	66	11	)	)	PUNCT
ap-936	66	12	it	it	PRON
ap-936	66	13	follows	follow	VERB
ap-936	66	14	that	that	SCONJ
ap-936	66	15	if	if	SCONJ
ap-936	66	16	one	one	PRON
ap-936	66	17	starts	start	VERB
ap-936	66	18	at	at	ADP
ap-936	66	19	the	the	DET
ap-936	66	20	ep	ep	PROPN
ap-936	66	21	the	the	DET
ap-936	66	22	last	last	ADJ
ap-936	66	23	two	two	NUM
ap-936	66	24	terms	term	NOUN
ap-936	66	25	in	in	ADP
ap-936	66	26	(	(	PUNCT
ap-936	66	27	9	9	X
ap-936	66	28	)	)	PUNCT
ap-936	66	29	vanish	vanish	NOUN
ap-936	66	30	and	and	CCONJ
ap-936	66	31	one	one	NOUN
ap-936	66	32	gets	get	VERB
ap-936	66	33	0	0	NUM
ap-936	66	34	�	�	PROPN
ap-936	66	35	�	�	PROPN
ap-936	66	36	(	(	PUNCT
ap-936	66	37	)	)	PUNCT
ap-936	66	38	x	x	PROPN
ap-936	66	39	�	�	PROPN
ap-936	66	40	dx	dx	PROPN
ap-936	66	41	(	(	PUNCT
ap-936	66	42	10	10	NUM
ap-936	66	43	)	)	PUNCT
ap-936	66	44	this	this	PRON
ap-936	66	45	is	be	AUX
ap-936	66	46	an	an	DET
ap-936	66	47	equation	equation	NOUN
ap-936	66	48	which	which	PRON
ap-936	66	49	defines	define	VERB
ap-936	66	50	an	an	DET
ap-936	66	51	(	(	PUNCT
ap-936	66	52	)	)	PUNCT
ap-936	66	53	n2	n2	ADJ
ap-936	66	54	2	2	NUM
ap-936	66	55	�	�	NOUN
ap-936	66	56	dimensional	dimensional	ADJ
ap-936	66	57	manifold	manifold	NOUN
ap-936	66	58	in	in	ADP
ap-936	66	59	�	�	PROPN
ap-936	66	60	n	n	CCONJ
ap-936	66	61	2	2	NUM
ap-936	66	62	.	.	PUNCT
ap-936	67	1	it	it	PRON
ap-936	67	2	is	be	AUX
ap-936	67	3	obvious	obvious	ADJ
ap-936	67	4	now	now	ADV
ap-936	67	5	that	that	SCONJ
ap-936	67	6	the	the	DET
ap-936	67	7	n2	n2	ADJ
ap-936	67	8	-	-	PUNCT
ap-936	67	9	dimensional	dimensional	ADJ
ap-936	67	10	vectors	vector	NOUN
ap-936	67	11	x	x	PUNCT
ap-936	67	12	for	for	ADP
ap-936	67	13	which	which	PRON
ap-936	67	14	s	s	VERB
ap-936	67	15	�	�	PROPN
ap-936	67	16	1	1	NUM
ap-936	67	17	(	(	PUNCT
ap-936	67	18	)	)	PUNCT
ap-936	67	19	x	x	SYM
ap-936	67	20	�	�	PROPN
ap-936	67	21	c	c	PROPN
ap-936	67	22	are	be	AUX
ap-936	67	23	restricted	restrict	VERB
ap-936	67	24	to	to	PART
ap-936	67	25	lie	lie	VERB
ap-936	67	26	on	on	ADP
ap-936	67	27	such	such	ADJ
ap-936	67	28	manifolds	manifold	NOUN
ap-936	67	29	clearly	clearly	ADV
ap-936	67	30	of	of	ADP
ap-936	67	31	zero	zero	NUM
ap-936	67	32	measure	measure	NOUN
ap-936	67	33	since	since	SCONJ
ap-936	67	34	they	they	PRON
ap-936	67	35	have	have	VERB
ap-936	67	36	one	one	NUM
ap-936	67	37	dimension	dimension	NOUN
ap-936	67	38	less	less	ADJ
ap-936	67	39	than	than	ADP
ap-936	67	40	the	the	DET
ap-936	67	41	space	space	NOUN
ap-936	67	42	of	of	ADP
ap-936	67	43	all	all	DET
ap-936	67	44	hermitian	hermitian	ADJ
ap-936	67	45	n×n	n×n	PROPN
ap-936	67	46	matrices.(7	matrices.(7	NOUN
ap-936	67	47	)	)	PUNCT
ap-936	67	48	©	©	PROPN
ap-936	67	49	czech	czech	PROPN
ap-936	67	50	technical	technical	PROPN
ap-936	67	51	university	university	PROPN
ap-936	67	52	publishing	publishing	NOUN
ap-936	67	53	house	house	NOUN
ap-936	67	54	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-936	67	55	51	51	NUM
ap-936	67	56	acta	acta	PROPN
ap-936	67	57	polytechnica	polytechnica	PROPN
ap-936	67	58	vol	vol	NOUN
ap-936	67	59	.	.	PUNCT
ap-936	68	1	47	47	NUM
ap-936	68	2	no	no	INTJ
ap-936	68	3	.	.	PUNCT
ap-936	69	1	2–3/2007	2–3/2007	NUM
ap-936	69	2	what	what	PRON
ap-936	69	3	are	be	AUX
ap-936	69	4	the	the	DET
ap-936	69	5	differences	difference	NOUN
ap-936	69	6	if	if	SCONJ
ap-936	69	7	one	one	PRON
ap-936	69	8	takes	take	VERB
ap-936	69	9	the	the	DET
ap-936	69	10	�	�	PROPN
ap-936	69	11	�	�	NOUN
ap-936	69	12	-symmetric	-symmetric	ADJ
ap-936	69	13	case	case	NOUN
ap-936	69	14	instead	instead	ADV
ap-936	69	15	of	of	ADP
ap-936	69	16	hermitian	hermitian	ADJ
ap-936	69	17	one	one	NUM
ap-936	69	18	?	?	PUNCT
ap-936	70	1	the	the	DET
ap-936	70	2	number	number	NOUN
ap-936	70	3	of	of	ADP
ap-936	70	4	free	free	ADJ
ap-936	70	5	real	real	ADJ
ap-936	70	6	parameters	parameter	NOUN
ap-936	70	7	determining	determine	VERB
ap-936	70	8	a	a	DET
ap-936	70	9	�	�	NOUN
ap-936	70	10	�	�	SYM
ap-936	70	11	-symmetric	-symmetric	ADJ
ap-936	70	12	matrix	matrix	NOUN
ap-936	70	13	is	be	AUX
ap-936	70	14	the	the	DET
ap-936	70	15	same	same	ADJ
ap-936	70	16	as	as	ADP
ap-936	70	17	for	for	ADP
ap-936	70	18	a	a	DET
ap-936	70	19	hermitian	hermitian	ADJ
ap-936	70	20	matrix	matrix	NOUN
ap-936	70	21	and	and	CCONJ
ap-936	70	22	its	its	PRON
ap-936	70	23	characteristic	characteristic	ADJ
ap-936	70	24	polynomial	polynomial	NOUN
ap-936	70	25	is	be	AUX
ap-936	70	26	also	also	ADV
ap-936	70	27	real	real	ADJ
ap-936	70	28	.	.	PUNCT
ap-936	71	1	the	the	DET
ap-936	71	2	crucial	crucial	ADJ
ap-936	71	3	difference	difference	NOUN
ap-936	71	4	is	be	AUX
ap-936	71	5	that	that	SCONJ
ap-936	71	6	since	since	SCONJ
ap-936	71	7	there	there	PRON
ap-936	71	8	is	be	VERB
ap-936	71	9	no	no	DET
ap-936	71	10	guaranteed	guarantee	VERB
ap-936	71	11	reality	reality	NOUN
ap-936	71	12	of	of	ADP
ap-936	71	13	the	the	DET
ap-936	71	14	spectrum	spectrum	NOUN
ap-936	71	15	,	,	PUNCT
ap-936	71	16	condition	condition	NOUN
ap-936	71	17	(	(	PUNCT
ap-936	71	18	8)	8)	NOUN
ap-936	71	19	does	do	AUX
ap-936	71	20	not	not	PART
ap-936	71	21	hold	hold	VERB
ap-936	71	22	.	.	PUNCT
ap-936	72	1	on	on	ADP
ap-936	72	2	the	the	DET
ap-936	72	3	other	other	ADJ
ap-936	72	4	hand	hand	NOUN
ap-936	72	5	since	since	SCONJ
ap-936	72	6	we	we	PRON
ap-936	72	7	know	know	VERB
ap-936	72	8	[	[	X
ap-936	72	9	9	9	NUM
ap-936	72	10	]	]	PUNCT
ap-936	72	11	that	that	SCONJ
ap-936	72	12	a	a	DET
ap-936	72	13	diagonalisable	diagonalisable	ADJ
ap-936	72	14	�	�	NOUN
ap-936	72	15	�	�	NOUN
ap-936	72	16	-symmetric	-symmetric	ADJ
ap-936	72	17	matrix	matrix	NOUN
ap-936	72	18	with	with	ADP
ap-936	72	19	real	real	ADJ
ap-936	72	20	eigenvalues	eigenvalue	NOUN
ap-936	72	21	can	can	AUX
ap-936	72	22	be	be	AUX
ap-936	72	23	transformed	transform	VERB
ap-936	72	24	to	to	ADP
ap-936	72	25	a	a	DET
ap-936	72	26	hermitian	hermitian	ADJ
ap-936	72	27	one	one	NUM
ap-936	72	28	by	by	ADP
ap-936	72	29	a	a	DET
ap-936	72	30	similarity	similarity	NOUN
ap-936	72	31	transformation	transformation	NOUN
ap-936	72	32	,	,	PUNCT
ap-936	72	33	and	and	CCONJ
ap-936	72	34	because	because	SCONJ
ap-936	72	35	similar	similar	ADJ
ap-936	72	36	matrices	matrix	NOUN
ap-936	72	37	have	have	VERB
ap-936	72	38	the	the	DET
ap-936	72	39	same	same	ADJ
ap-936	72	40	characteristic	characteristic	ADJ
ap-936	72	41	polynomials	polynomial	NOUN
ap-936	72	42	,	,	PUNCT
ap-936	72	43	condition	condition	NOUN
ap-936	72	44	(	(	PUNCT
ap-936	72	45	8)	8)	NUM
ap-936	72	46	is	be	AUX
ap-936	72	47	still	still	ADV
ap-936	72	48	valid	valid	ADJ
ap-936	72	49	for	for	ADP
ap-936	72	50	diagonalisable	diagonalisable	ADJ
ap-936	72	51	eps	eps	PROPN
ap-936	72	52	of	of	ADP
ap-936	72	53	�	�	PROPN
ap-936	72	54	�	�	NOUN
ap-936	72	55	-symmetric	-symmetric	ADJ
ap-936	72	56	matrices	matrix	NOUN
ap-936	72	57	.	.	PUNCT
ap-936	73	1	however	however	ADV
ap-936	73	2	the	the	DET
ap-936	73	3	argument	argument	NOUN
ap-936	73	4	does	do	AUX
ap-936	73	5	not	not	PART
ap-936	73	6	apply	apply	VERB
ap-936	73	7	for	for	ADP
ap-936	73	8	non	non	ADJ
ap-936	73	9	-	-	ADJ
ap-936	73	10	diagonalisable	diagonalisable	ADJ
ap-936	73	11	eps	ep	NOUN
ap-936	73	12	,	,	PUNCT
ap-936	73	13	where	where	SCONJ
ap-936	73	14	an	an	DET
ap-936	73	15	analogous	analogous	ADJ
ap-936	73	16	similarity	similarity	NOUN
ap-936	73	17	transformation	transformation	NOUN
ap-936	73	18	does	do	AUX
ap-936	73	19	not	not	PART
ap-936	73	20	exist	exist	VERB
ap-936	73	21	.	.	PUNCT
ap-936	74	1	in	in	ADP
ap-936	74	2	this	this	DET
ap-936	74	3	case	case	NOUN
ap-936	74	4	,	,	PUNCT
ap-936	74	5	(	(	PUNCT
ap-936	74	6	9	9	X
ap-936	74	7	)	)	PUNCT
ap-936	74	8	can	can	AUX
ap-936	74	9	be	be	AUX
ap-936	74	10	solved	solve	VERB
ap-936	74	11	by	by	ADP
ap-936	74	12	a	a	DET
ap-936	74	13	function	function	NOUN
ap-936	74	14	c(x	c(x	NOUN
ap-936	74	15	)	)	PUNCT
ap-936	74	16	that	that	PRON
ap-936	74	17	determines	determine	VERB
ap-936	74	18	the	the	DET
ap-936	74	19	position	position	NOUN
ap-936	74	20	of	of	ADP
ap-936	74	21	the	the	DET
ap-936	74	22	selected	select	VERB
ap-936	74	23	ep	ep	PROPN
ap-936	74	24	under	under	ADP
ap-936	74	25	an	an	DET
ap-936	74	26	arbitrary	arbitrary	ADJ
ap-936	74	27	change	change	NOUN
ap-936	74	28	of	of	ADP
ap-936	74	29	parameters	parameter	NOUN
ap-936	74	30	xi	xi	X
ap-936	74	31	.	.	PUNCT
ap-936	75	1	2.2	2.2	NUM
ap-936	75	2	square	square	ADJ
ap-936	75	3	-	-	PUNCT
ap-936	75	4	root	root	NOUN
ap-936	75	5	dependence	dependence	NOUN
ap-936	75	6	to	to	PART
ap-936	75	7	illustrate	illustrate	VERB
ap-936	75	8	the	the	DET
ap-936	75	9	behaviour	behaviour	NOUN
ap-936	75	10	of	of	ADP
ap-936	75	11	eigenvalues	eigenvalue	NOUN
ap-936	75	12	on	on	ADP
ap-936	75	13	a	a	DET
ap-936	75	14	concrete	concrete	ADJ
ap-936	75	15	example	example	NOUN
ap-936	75	16	,	,	PUNCT
ap-936	75	17	let	let	VERB
ap-936	75	18	us	we	PRON
ap-936	75	19	consider	consider	VERB
ap-936	75	20	the	the	DET
ap-936	75	21	simple	simple	ADJ
ap-936	75	22	two	two	NUM
ap-936	75	23	-	-	PUNCT
ap-936	75	24	dimensional	dimensional	ADJ
ap-936	75	25	matrices	matrix	NOUN
ap-936	75	26	h	h	PROPN
ap-936	75	27	�	�	PROPN
ap-936	75	28	�	�	PROPN
ap-936	75	29	�	�	PROPN
ap-936	75	30	�	�	PROPN
ap-936	75	31	�	�	PROPN
ap-936	75	32	�	�	PROPN
ap-936	75	33	�	�	PROPN
ap-936	75	34	�	�	PROPN
ap-936	75	35	�	�	PROPN
ap-936	75	36	�	�	PROPN
ap-936	75	37	�	�	PROPN
ap-936	75	38	�	�	PROPN
ap-936	75	39	c	c	PROPN
ap-936	75	40	de	de	PROPN
ap-936	75	41	de	de	PROPN
ap-936	75	42	c	c	X
ap-936	75	43	iq	iq	NOUN
ap-936	75	44	iq	iq	VERB
ap-936	75	45	1	1	NUM
ap-936	75	46	2	2	NUM
ap-936	75	47	(	(	PUNCT
ap-936	75	48	11	11	NUM
ap-936	75	49	)	)	PUNCT
ap-936	75	50	with	with	ADP
ap-936	75	51	c	c	PROPN
ap-936	75	52	d	d	PROPN
ap-936	75	53	qi	qi	PROPN
ap-936	75	54	,	,	PUNCT
ap-936	75	55	,	,	PUNCT
ap-936	75	56	�	�	PROPN
ap-936	75	57	.(8	.(8	NUM
ap-936	75	58	)	)	PUNCT
ap-936	76	1	the	the	DET
ap-936	76	2	eigenvalues	eigenvalue	NOUN
ap-936	76	3	are	be	AUX
ap-936	76	4	given	give	VERB
ap-936	76	5	by	by	ADP
ap-936	76	6	2	2	NUM
ap-936	76	7	41	41	NUM
ap-936	76	8	2	2	NUM
ap-936	76	9	1	1	NUM
ap-936	76	10	2	2	NUM
ap-936	76	11	2	2	NUM
ap-936	76	12	2e	2e	NOUN
ap-936	76	13	c	c	NOUN
ap-936	76	14	c	c	NOUN
ap-936	76	15	c	c	NOUN
ap-936	76	16	c	c	X
ap-936	76	17	d	d	PUNCT
ap-936	76	18	�	�	PROPN
ap-936	76	19	�	�	PROPN
ap-936	76	20	�	�	PROPN
ap-936	76	21	�	�	PROPN
ap-936	76	22	�	�	PROPN
ap-936	76	23	(	(	PUNCT
ap-936	76	24	)	)	PUNCT
ap-936	76	25	.	.	PUNCT
ap-936	77	1	(	(	PUNCT
ap-936	77	2	12	12	NUM
ap-936	77	3	)	)	PUNCT
ap-936	77	4	the	the	DET
ap-936	77	5	square	square	ADJ
ap-936	77	6	root	root	NOUN
ap-936	77	7	in	in	ADP
ap-936	77	8	(	(	PUNCT
ap-936	77	9	12	12	NUM
ap-936	77	10	)	)	PUNCT
ap-936	77	11	is	be	AUX
ap-936	77	12	a	a	DET
ap-936	77	13	typical	typical	ADJ
ap-936	77	14	example	example	NOUN
ap-936	77	15	of	of	ADP
ap-936	77	16	parametric	parametric	ADJ
ap-936	77	17	dependence	dependence	NOUN
ap-936	77	18	near	near	ADP
ap-936	77	19	the	the	DET
ap-936	77	20	non	non	ADJ
ap-936	77	21	-	-	ADJ
ap-936	77	22	diagonalisable	diagonalisable	ADJ
ap-936	77	23	ep	ep	PROPN
ap-936	77	24	.	.	PUNCT
ap-936	78	1	since	since	SCONJ
ap-936	78	2	(	(	PUNCT
ap-936	78	3	11	11	NUM
ap-936	78	4	)	)	PUNCT
ap-936	78	5	is	be	AUX
ap-936	78	6	a	a	DET
ap-936	78	7	very	very	ADV
ap-936	78	8	simple	simple	ADJ
ap-936	78	9	(	(	PUNCT
ap-936	78	10	i.e.	i.e.	X
ap-936	78	11	two	two	NUM
ap-936	78	12	-	-	PUNCT
ap-936	78	13	level	level	NOUN
ap-936	78	14	)	)	PUNCT
ap-936	78	15	system	system	NOUN
ap-936	78	16	the	the	DET
ap-936	78	17	dependence	dependence	NOUN
ap-936	78	18	is	be	AUX
ap-936	78	19	exactly	exactly	ADV
ap-936	78	20	the	the	DET
ap-936	78	21	square	square	ADJ
ap-936	78	22	root;	root;	NOUN
ap-936	78	23	for	for	ADP
ap-936	78	24	larger	large	ADJ
ap-936	78	25	matrices	matrix	NOUN
ap-936	78	26	of	of	ADP
ap-936	78	27	type	type	NOUN
ap-936	78	28	(	(	PUNCT
ap-936	78	29	1	1	NUM
ap-936	78	30	)	)	PUNCT
ap-936	78	31	the	the	DET
ap-936	78	32	square	square	ADJ
ap-936	78	33	-	-	PUNCT
ap-936	78	34	root	root	NOUN
ap-936	78	35	function	function	NOUN
ap-936	78	36	is	be	AUX
ap-936	78	37	modified	modify	VERB
ap-936	78	38	by	by	ADP
ap-936	78	39	some	some	DET
ap-936	78	40	non	non	ADJ
ap-936	78	41	-	-	ADJ
ap-936	78	42	singular	singular	ADJ
ap-936	78	43	c	c	ADJ
ap-936	78	44	-	-	PUNCT
ap-936	78	45	dependent	dependent	ADJ
ap-936	78	46	factor	factor	NOUN
ap-936	78	47	,	,	PUNCT
ap-936	78	48	but	but	CCONJ
ap-936	78	49	still	still	ADV
ap-936	78	50	lim	lim	PROPN
ap-936	79	1	c	c	PROPN
ap-936	80	1	c	c	PROPN
ap-936	80	2	e	e	X
ap-936	80	3	c	c	PROPN
ap-936	80	4	�	�	PROPN
ap-936	80	5	�	�	PROPN
ap-936	80	6	�	�	PROPN
ap-936	80	7	ep	ep	PROPN
ap-936	80	8	d	d	PROPN
ap-936	80	9	d	d	PROPN
ap-936	80	10	.	.	PUNCT
ap-936	81	1	(	(	PUNCT
ap-936	81	2	13	13	NUM
ap-936	81	3	)	)	PUNCT
ap-936	81	4	the	the	DET
ap-936	81	5	essential	essential	ADJ
ap-936	81	6	fact	fact	NOUN
ap-936	81	7	is	be	AUX
ap-936	81	8	that	that	SCONJ
ap-936	81	9	in	in	ADP
ap-936	81	10	complex	complex	ADJ
ap-936	81	11	neighbourhood	neighbourhood	NOUN
ap-936	81	12	of	of	ADP
ap-936	81	13	the	the	DET
ap-936	81	14	exceptional	exceptional	ADJ
ap-936	81	15	point	point	NOUN
ap-936	81	16	the	the	DET
ap-936	81	17	eigenvalues	eigenvalue	NOUN
ap-936	81	18	form	form	VERB
ap-936	81	19	a	a	DET
ap-936	81	20	structure	structure	NOUN
ap-936	81	21	with	with	ADP
ap-936	81	22	two	two	NUM
ap-936	81	23	riemann	riemann	PROPN
ap-936	81	24	sheets	sheet	NOUN
ap-936	81	25	typical	typical	ADJ
ap-936	81	26	for	for	ADP
ap-936	81	27	the	the	DET
ap-936	81	28	square	square	ADJ
ap-936	81	29	root	root	NOUN
ap-936	81	30	–	–	PUNCT
ap-936	81	31	this	this	PRON
ap-936	81	32	is	be	AUX
ap-936	81	33	universally	universally	ADV
ap-936	81	34	true	true	ADJ
ap-936	81	35	for	for	ADP
ap-936	81	36	matrices	matrix	NOUN
ap-936	81	37	in	in	ADP
ap-936	81	38	all	all	DET
ap-936	81	39	eps	ep	NOUN
ap-936	81	40	where	where	SCONJ
ap-936	81	41	two	two	NUM
ap-936	81	42	levels	level	NOUN
ap-936	81	43	cross	cross	VERB
ap-936	81	44	.	.	PUNCT
ap-936	82	1	the	the	DET
ap-936	82	2	scheme	scheme	NOUN
ap-936	82	3	also	also	ADV
ap-936	82	4	holds	hold	VERB
ap-936	82	5	for	for	ADP
ap-936	82	6	a	a	DET
ap-936	82	7	large	large	ADJ
ap-936	82	8	class	class	NOUN
ap-936	82	9	of	of	ADP
ap-936	82	10	schrödinger	schrödinger	ADJ
ap-936	82	11	operators	operator	NOUN
ap-936	82	12	with	with	ADP
ap-936	82	13	�	�	PROPN
ap-936	82	14	�	�	NOUN
ap-936	82	15	-symmetric	-symmetric	NOUN
ap-936	82	16	potentials	potential	NOUN
ap-936	82	17	.	.	PUNCT
ap-936	83	1	a	a	DET
ap-936	83	2	square	square	ADJ
ap-936	83	3	-	-	PUNCT
ap-936	83	4	root	root	NOUN
ap-936	83	5	singularity	singularity	NOUN
ap-936	83	6	was	be	AUX
ap-936	83	7	attested	attest	VERB
ap-936	83	8	for	for	ADP
ap-936	83	9	example	example	NOUN
ap-936	83	10	in	in	ADP
ap-936	83	11	the	the	DET
ap-936	83	12	founding	founding	NOUN
ap-936	83	13	problem	problem	NOUN
ap-936	83	14	of	of	ADP
ap-936	83	15	�	�	PROPN
ap-936	83	16	�	�	PROPN
ap-936	83	17	-symmetry	-symmetry	NOUN
ap-936	83	18	–	–	PUNCT
ap-936	83	19	the	the	DET
ap-936	83	20	hamiltonians	hamiltonian	NOUN
ap-936	83	21	�	�	PROPN
ap-936	83	22	�	�	PROPN
ap-936	83	23	�	�	PROPN
ap-936	83	24	d	d	PROPN
ap-936	83	25	d	d	NOUN
ap-936	83	26	2	2	NUM
ap-936	83	27	2	2	NUM
ap-936	83	28	2	2	NUM
ap-936	83	29	x	x	NOUN
ap-936	83	30	ix	ix	ADP
ap-936	83	31	c	c	PROPN
ap-936	83	32	(	(	PUNCT
ap-936	83	33	)	)	PUNCT
ap-936	83	34	(	(	PUNCT
ap-936	83	35	14	14	NUM
ap-936	83	36	)	)	PUNCT
ap-936	83	37	of	of	ADP
ap-936	83	38	bender	bender	NOUN
ap-936	83	39	,	,	PUNCT
ap-936	83	40	boettcher	boettcher	PRON
ap-936	83	41	and	and	CCONJ
ap-936	83	42	meisinger	meisinger	VERB
ap-936	83	43	[	[	X
ap-936	83	44	10	10	NUM
ap-936	83	45	]	]	PUNCT
ap-936	83	46	.	.	PUNCT
ap-936	84	1	another	another	DET
ap-936	84	2	example	example	NOUN
ap-936	84	3	is	be	AUX
ap-936	84	4	the	the	DET
ap-936	84	5	one	one	NUM
ap-936	84	6	-	-	PUNCT
ap-936	84	7	dimensional	dimensional	ADJ
ap-936	84	8	laplacian	laplacian	NOUN
ap-936	84	9	at	at	ADP
ap-936	84	10	the	the	DET
ap-936	84	11	interval	interval	NOUN
ap-936	84	12	(	(	PUNCT
ap-936	84	13	,	,	PUNCT
ap-936	84	14	)	)	PUNCT
ap-936	84	15	0	0	PUNCT
ap-936	85	1	d	d	NOUN
ap-936	85	2	discussed	discuss	VERB
ap-936	85	3	in	in	ADP
ap-936	85	4	[	[	X
ap-936	85	5	11	11	NUM
ap-936	85	6	]	]	PUNCT
ap-936	85	7	with	with	ADP
ap-936	85	8	�	�	PROPN
ap-936	85	9	�	�	NOUN
ap-936	85	10	-symmetric	-symmetric	ADJ
ap-936	85	11	boundary	boundary	ADJ
ap-936	85	12	conditions(9	conditions(9	NOUN
ap-936	85	13	)	)	PUNCT
ap-936	85	14	�	�	PROPN
ap-936	85	15	�	�	PROPN
ap-936	85	16	�	�	PROPN
ap-936	85	17	�	�	PROPN
ap-936	85	18	�	�	PROPN
ap-936	85	19	�	�	PROPN
ap-936	85	20	(	(	PUNCT
ap-936	85	21	)	)	PUNCT
ap-936	85	22	(	(	PUNCT
ap-936	85	23	)	)	PUNCT
ap-936	85	24	(	(	PUNCT
ap-936	85	25	)	)	PUNCT
ap-936	85	26	0	0	NUM
ap-936	85	27	0b	0b	PROPN
ap-936	85	28	ic	ic	PROPN
ap-936	85	29	,	,	PUNCT
ap-936	85	30	�	�	PROPN
ap-936	85	31	�	�	PROPN
ap-936	85	32	�	�	PROPN
ap-936	85	33	�	�	PROPN
ap-936	85	34	�	�	PROPN
ap-936	85	35	(	(	PUNCT
ap-936	85	36	)	)	PUNCT
ap-936	85	37	(	(	PUNCT
ap-936	85	38	)	)	PUNCT
ap-936	85	39	(	(	PUNCT
ap-936	85	40	)	)	PUNCT
ap-936	85	41	d	d	X
ap-936	85	42	b	b	X
ap-936	85	43	ic	ic	X
ap-936	85	44	d	d	X
ap-936	85	45	(	(	PUNCT
ap-936	85	46	15	15	NUM
ap-936	85	47	)	)	PUNCT
ap-936	85	48	the	the	DET
ap-936	85	49	system	system	NOUN
ap-936	85	50	defined	define	VERB
ap-936	85	51	in	in	ADP
ap-936	85	52	such	such	DET
ap-936	85	53	a	a	DET
ap-936	85	54	way	way	NOUN
ap-936	85	55	has	have	VERB
ap-936	85	56	several	several	ADJ
ap-936	85	57	interesting	interesting	ADJ
ap-936	85	58	properties	property	NOUN
ap-936	85	59	:	:	PUNCT
ap-936	85	60	the	the	DET
ap-936	85	61	total	total	ADJ
ap-936	85	62	number	number	NOUN
ap-936	85	63	of	of	ADP
ap-936	85	64	complex	complex	ADJ
ap-936	85	65	eigenvalues	eigenvalue	NOUN
ap-936	85	66	does	do	AUX
ap-936	85	67	not	not	PART
ap-936	85	68	exceed	exceed	VERB
ap-936	85	69	one	one	NUM
ap-936	85	70	pair	pair	NOUN
ap-936	85	71	.	.	PUNCT
ap-936	86	1	the	the	DET
ap-936	86	2	exceptional	exceptional	ADJ
ap-936	86	3	point	point	NOUN
ap-936	86	4	usually	usually	ADV
ap-936	86	5	has	have	VERB
ap-936	86	6	a	a	DET
ap-936	86	7	jordan	jordan	PROPN
ap-936	86	8	-	-	PUNCT
ap-936	86	9	block	block	NOUN
ap-936	86	10	degeneracy	degeneracy	NOUN
ap-936	86	11	and	and	CCONJ
ap-936	86	12	the	the	DET
ap-936	86	13	square	square	ADJ
ap-936	86	14	-	-	PUNCT
ap-936	86	15	root	root	NOUN
ap-936	86	16	-	-	PUNCT
ap-936	86	17	like	like	ADJ
ap-936	86	18	behaviour	behaviour	NOUN
ap-936	86	19	of	of	ADP
ap-936	86	20	the	the	DET
ap-936	86	21	energy	energy	NOUN
ap-936	86	22	,	,	PUNCT
ap-936	86	23	but	but	CCONJ
ap-936	86	24	the	the	DET
ap-936	86	25	situation	situation	NOUN
ap-936	86	26	can	can	AUX
ap-936	86	27	be	be	AUX
ap-936	86	28	made	make	VERB
ap-936	86	29	slightly	slightly	ADV
ap-936	86	30	more	more	ADV
ap-936	86	31	complicated	complicated	ADJ
ap-936	86	32	for	for	ADP
ap-936	86	33	example	example	NOUN
ap-936	86	34	by	by	ADP
ap-936	86	35	keeping	keep	VERB
ap-936	86	36	b	b	PROPN
ap-936	86	37	c	c	PROPN
ap-936	86	38	n2	n2	NOUN
ap-936	86	39	2	2	NUM
ap-936	86	40	1	1	NUM
ap-936	86	41	2	2	NUM
ap-936	86	42	�	�	PROPN
ap-936	86	43	�	�	PROPN
ap-936	86	44	�	�	PROPN
ap-936	86	45	fixed	fix	VERB
ap-936	86	46	and	and	CCONJ
ap-936	86	47	varying	vary	VERB
ap-936	86	48	c	c	NOUN
ap-936	86	49	,	,	PUNCT
ap-936	86	50	which	which	PRON
ap-936	86	51	leads	lead	VERB
ap-936	86	52	to	to	ADP
ap-936	86	53	unusual	unusual	ADJ
ap-936	86	54	triple	triple	NOUN
ap-936	86	55	(	(	PUNCT
ap-936	86	56	still	still	ADV
ap-936	86	57	non	non	ADJ
ap-936	86	58	-	-	ADJ
ap-936	86	59	diagonalisable	diagonalisable	ADJ
ap-936	86	60	)	)	PUNCT
ap-936	86	61	degeneracy	degeneracy	NOUN
ap-936	86	62	in	in	ADP
ap-936	86	63	the	the	DET
ap-936	86	64	ep	ep	PROPN
ap-936	86	65	.	.	PUNCT
ap-936	87	1	an	an	DET
ap-936	87	2	even	even	ADV
ap-936	87	3	more	more	ADV
ap-936	87	4	extraordinary	extraordinary	ADJ
ap-936	87	5	possibility	possibility	NOUN
ap-936	87	6	is	be	AUX
ap-936	87	7	to	to	PART
ap-936	87	8	put	put	VERB
ap-936	87	9	b	b	PROPN
ap-936	87	10	�	�	PROPN
ap-936	87	11	0	0	NUM
ap-936	87	12	and	and	CCONJ
ap-936	87	13	observe	observe	VERB
ap-936	87	14	the	the	DET
ap-936	87	15	dependence	dependence	NOUN
ap-936	87	16	on	on	ADP
ap-936	87	17	c.	c.	NOUN
ap-936	87	18	in	in	ADP
ap-936	87	19	this	this	DET
ap-936	87	20	setting	set	VERB
ap-936	87	21	the	the	DET
ap-936	87	22	spectrum	spectrum	NOUN
ap-936	87	23	is	be	AUX
ap-936	87	24	real	real	ADJ
ap-936	87	25	for	for	ADP
ap-936	87	26	all	all	DET
ap-936	87	27	c	c	NOUN
ap-936	87	28	and	and	CCONJ
ap-936	87	29	only	only	ADV
ap-936	87	30	one	one	NUM
ap-936	87	31	energy	energy	NOUN
ap-936	87	32	level	level	NOUN
ap-936	87	33	is	be	AUX
ap-936	87	34	not	not	PART
ap-936	87	35	constant;	constant;	NOUN
ap-936	87	36	the	the	DET
ap-936	87	37	exceptional	exceptional	ADJ
ap-936	87	38	points	point	NOUN
ap-936	87	39	occur	occur	VERB
ap-936	87	40	at	at	ADP
ap-936	87	41	k	k	PROPN
ap-936	87	42	n	n	CCONJ
ap-936	87	43	�	�	PROPN
ap-936	87	44	�	�	PROPN
ap-936	87	45	,	,	PUNCT
ap-936	87	46	where	where	SCONJ
ap-936	87	47	n	n	X
ap-936	87	48	�	�	PROPN
ap-936	87	49	and	and	CCONJ
ap-936	87	50	k	k	PROPN
ap-936	87	51	e	e	PROPN
ap-936	87	52	�	�	PROPN
ap-936	87	53	.	.	PUNCT
ap-936	88	1	52	52	NUM
ap-936	88	2	©	©	PROPN
ap-936	88	3	czech	czech	PROPN
ap-936	88	4	technical	technical	PROPN
ap-936	88	5	university	university	PROPN
ap-936	88	6	publishing	publishing	NOUN
ap-936	88	7	house	house	NOUN
ap-936	88	8	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-936	88	9	acta	acta	PROPN
ap-936	88	10	polytechnica	polytechnica	PROPN
ap-936	88	11	vol	vol	NOUN
ap-936	88	12	.	.	PUNCT
ap-936	89	1	47	47	NUM
ap-936	89	2	no	no	NOUN
ap-936	89	3	.	.	PUNCT
ap-936	90	1	2–3/2007	2–3/2007	NUM
ap-936	90	2	fig	fig	NOUN
ap-936	90	3	.	.	PUNCT
ap-936	91	1	1	1	NUM
ap-936	91	2	:	:	PUNCT
ap-936	91	3	the	the	DET
ap-936	91	4	eigenvalues	eigenvalue	NOUN
ap-936	91	5	of	of	ADP
ap-936	91	6	matrix	matrix	NOUN
ap-936	91	7	(	(	PUNCT
ap-936	91	8	11	11	NUM
ap-936	91	9	)	)	PUNCT
ap-936	91	10	with	with	ADP
ap-936	91	11	c	c	PROPN
ap-936	91	12	c	c	PROPN
ap-936	91	13	c1	c1	PROPN
ap-936	91	14	2	2	NUM
ap-936	91	15	�	�	PROPN
ap-936	91	16	�	�	PROPN
ap-936	91	17	and	and	CCONJ
ap-936	91	18	d	d	PROPN
ap-936	91	19	e	e	X
ap-936	91	20	iq	iq	PROPN
ap-936	91	21	�	�	PROPN
ap-936	91	22	�	�	PROPN
ap-936	91	23	1	1	NUM
ap-936	91	24	(	(	PUNCT
ap-936	91	25	solid	solid	ADJ
ap-936	91	26	lines	line	NOUN
ap-936	91	27	)	)	PUNCT
ap-936	91	28	.	.	PUNCT
ap-936	92	1	the	the	DET
ap-936	92	2	dashed	dash	VERB
ap-936	92	3	lines	line	NOUN
ap-936	92	4	represent	represent	VERB
ap-936	92	5	an	an	DET
ap-936	92	6	analogous	analogous	ADJ
ap-936	92	7	hermitian	hermitian	ADJ
ap-936	92	8	matrix	matrix	NOUN
ap-936	92	9	where	where	SCONJ
ap-936	92	10	both	both	DET
ap-936	92	11	off	off	ADP
ap-936	92	12	-	-	PUNCT
ap-936	92	13	diagonal	diagonal	ADJ
ap-936	92	14	elements	element	NOUN
ap-936	92	15	are	be	AUX
ap-936	92	16	�	�	NOUN
ap-936	92	17	1	1	NUM
ap-936	92	18	.	.	PUNCT
ap-936	93	1	the	the	DET
ap-936	93	2	graph	graph	NOUN
ap-936	93	3	illustrates	illustrate	VERB
ap-936	93	4	the	the	DET
ap-936	93	5	typical	typical	ADJ
ap-936	93	6	behaviour	behaviour	NOUN
ap-936	93	7	of	of	ADP
ap-936	93	8	energy	energy	NOUN
ap-936	93	9	levels	level	NOUN
ap-936	93	10	of	of	ADP
ap-936	93	11	both	both	DET
ap-936	93	12	hermitian	hermitian	ADJ
ap-936	93	13	systems	system	NOUN
ap-936	93	14	(	(	PUNCT
ap-936	93	15	avoided	avoid	VERB
ap-936	93	16	crossing	crossing	NOUN
ap-936	93	17	at	at	ADP
ap-936	93	18	c	c	PROPN
ap-936	93	19	�	�	PROPN
ap-936	93	20	0	0	NUM
ap-936	93	21	)	)	PUNCT
ap-936	93	22	and	and	CCONJ
ap-936	93	23	�	�	PROPN
ap-936	93	24	�	�	PROPN
ap-936	93	25	-symmetric	-symmetric	ADJ
ap-936	93	26	systems	system	NOUN
ap-936	93	27	(	(	PUNCT
ap-936	93	28	complexification	complexification	NOUN
ap-936	93	29	at	at	ADP
ap-936	93	30	exceptional	exceptional	ADJ
ap-936	93	31	points	point	NOUN
ap-936	93	32	c	c	PROPN
ap-936	93	33	�	�	PROPN
ap-936	93	34	�	�	PROPN
ap-936	93	35	1	1	NUM
ap-936	93	36	)	)	PUNCT
ap-936	93	37	.	.	PUNCT
ap-936	94	1	fig	fig	NOUN
ap-936	94	2	.	.	PUNCT
ap-936	95	1	2	2	NUM
ap-936	95	2	:	:	PUNCT
ap-936	95	3	the	the	DET
ap-936	95	4	energy	energy	NOUN
ap-936	95	5	dependence	dependence	NOUN
ap-936	95	6	of	of	ADP
ap-936	95	7	the	the	DET
ap-936	95	8	laplacian	laplacian	NOUN
ap-936	95	9	with	with	ADP
ap-936	95	10	boundary	boundary	ADJ
ap-936	95	11	conditions	condition	NOUN
ap-936	95	12	(	(	PUNCT
ap-936	95	13	15	15	NUM
ap-936	95	14	)	)	PUNCT
ap-936	95	15	.	.	PUNCT
ap-936	96	1	the	the	DET
ap-936	96	2	left	left	ADJ
ap-936	96	3	graph	graph	NOUN
ap-936	96	4	shows	show	VERB
ap-936	96	5	the	the	DET
ap-936	96	6	level	level	NOUN
ap-936	96	7	crossings	crossing	NOUN
ap-936	96	8	for	for	ADP
ap-936	96	9	b	b	PROPN
ap-936	96	10	�	�	PROPN
ap-936	96	11	0	0	NUM
ap-936	96	12	.	.	PUNCT
ap-936	97	1	the	the	DET
ap-936	97	2	situation	situation	NOUN
ap-936	97	3	on	on	ADP
ap-936	97	4	the	the	DET
ap-936	97	5	right	right	NOUN
ap-936	97	6	represents	represent	VERB
ap-936	97	7	varying	vary	VERB
ap-936	97	8	b	b	NOUN
ap-936	97	9	for	for	ADP
ap-936	97	10	fixed	fix	VERB
ap-936	97	11	value	value	NOUN
ap-936	97	12	b	b	PROPN
ap-936	97	13	c2	c2	PROPN
ap-936	97	14	2	2	NUM
ap-936	97	15	2	2	NUM
ap-936	97	16	4	4	NUM
ap-936	97	17	�	�	PROPN
ap-936	97	18	�	�	PROPN
ap-936	97	19	.	.	PUNCT
ap-936	97	20	.	.	PUNCT
ap-936	98	1	solid	solid	ADJ
ap-936	98	2	lines	line	NOUN
ap-936	98	3	represent	represent	VERB
ap-936	98	4	real	real	ADJ
ap-936	98	5	eigenvalues	eigenvalue	NOUN
ap-936	98	6	while	while	SCONJ
ap-936	98	7	dashed	dash	VERB
ap-936	98	8	and	and	CCONJ
ap-936	98	9	dotted	dotted	ADJ
ap-936	98	10	lines	line	NOUN
ap-936	98	11	are	be	AUX
ap-936	98	12	the	the	DET
ap-936	98	13	real	real	ADJ
ap-936	98	14	and	and	CCONJ
ap-936	98	15	imaginary	imaginary	ADJ
ap-936	98	16	parts	part	NOUN
ap-936	98	17	of	of	ADP
ap-936	98	18	one	one	NUM
ap-936	98	19	of	of	ADP
ap-936	98	20	the	the	DET
ap-936	98	21	complex	complex	ADJ
ap-936	98	22	eigenvalues	eigenvalue	NOUN
ap-936	98	23	respectively	respectively	ADV
ap-936	98	24	(	(	PUNCT
ap-936	98	25	the	the	DET
ap-936	98	26	second	second	ADJ
ap-936	98	27	one	one	NOUN
ap-936	98	28	is	be	AUX
ap-936	98	29	conjugated	conjugate	VERB
ap-936	98	30	)	)	PUNCT
ap-936	98	31	.	.	PUNCT
ap-936	99	1	the	the	DET
ap-936	99	2	values	value	NOUN
ap-936	99	3	of	of	ADP
ap-936	99	4	the	the	DET
ap-936	99	5	wave	wave	NOUN
ap-936	99	6	vector	vector	NOUN
ap-936	99	7	k	k	PROPN
ap-936	99	8	e	e	PROPN
ap-936	99	9	�	�	PROPN
ap-936	99	10	are	be	AUX
ap-936	99	11	shown	show	VERB
ap-936	99	12	.	.	PUNCT
ap-936	100	1	because	because	SCONJ
ap-936	100	2	actually	actually	ADV
ap-936	100	3	no	no	DET
ap-936	100	4	complexification	complexification	NOUN
ap-936	100	5	occurs	occur	VERB
ap-936	100	6	also	also	ADV
ap-936	100	7	(	(	PUNCT
ap-936	100	8	13	13	NUM
ap-936	100	9	)	)	PUNCT
ap-936	100	10	does	do	AUX
ap-936	100	11	not	not	PART
ap-936	100	12	hold	hold	VERB
ap-936	100	13	,	,	PUNCT
ap-936	100	14	but	but	CCONJ
ap-936	100	15	a	a	DET
ap-936	100	16	jordan	jordan	PROPN
ap-936	100	17	-	-	PUNCT
ap-936	100	18	block	block	NOUN
ap-936	100	19	structure	structure	NOUN
ap-936	100	20	is	be	AUX
ap-936	100	21	still	still	ADV
ap-936	100	22	maintained	maintain	VERB
ap-936	100	23	.	.	PUNCT
ap-936	101	1	as	as	ADP
ap-936	101	2	a	a	DET
ap-936	101	3	summary	summary	NOUN
ap-936	101	4	to	to	ADP
ap-936	101	5	the	the	DET
ap-936	101	6	first	first	ADJ
ap-936	101	7	section	section	NOUN
ap-936	101	8	it	it	PRON
ap-936	101	9	is	be	AUX
ap-936	101	10	worth	worth	ADJ
ap-936	101	11	noting	note	VERB
ap-936	101	12	that	that	SCONJ
ap-936	101	13	the	the	DET
ap-936	101	14	merging	merging	NOUN
ap-936	101	15	of	of	ADP
ap-936	101	16	two	two	NUM
ap-936	101	17	(	(	PUNCT
ap-936	101	18	or	or	CCONJ
ap-936	101	19	ocassionally	ocassionally	ADV
ap-936	101	20	more	more	ADJ
ap-936	101	21	)	)	PUNCT
ap-936	101	22	eigenstates	eigenstate	NOUN
ap-936	101	23	and	and	CCONJ
ap-936	101	24	eigenvalues	eigenvalue	NOUN
ap-936	101	25	in	in	ADP
ap-936	101	26	the	the	DET
ap-936	101	27	point	point	NOUN
ap-936	101	28	of	of	ADP
ap-936	101	29	complexification	complexification	NOUN
ap-936	101	30	,	,	PUNCT
ap-936	101	31	while	while	SCONJ
ap-936	101	32	being	be	AUX
ap-936	101	33	obligatory	obligatory	ADJ
ap-936	101	34	for	for	ADP
ap-936	101	35	matrices	matrix	NOUN
ap-936	101	36	,	,	PUNCT
ap-936	101	37	is	be	AUX
ap-936	101	38	prevalent	prevalent	ADJ
ap-936	101	39	but	but	CCONJ
ap-936	101	40	not	not	PART
ap-936	101	41	universal	universal	ADJ
ap-936	101	42	for	for	ADP
ap-936	101	43	schrödinger	schrödinger	ADJ
ap-936	101	44	operators	operator	NOUN
ap-936	101	45	.	.	PUNCT
ap-936	102	1	complications	complication	NOUN
ap-936	102	2	come	come	VERB
ap-936	102	3	into	into	ADP
ap-936	102	4	play	play	NOUN
ap-936	102	5	when	when	SCONJ
ap-936	102	6	the	the	DET
ap-936	102	7	potential	potential	NOUN
ap-936	102	8	involves	involve	VERB
ap-936	102	9	a	a	DET
ap-936	102	10	singularity	singularity	NOUN
ap-936	102	11	,	,	PUNCT
ap-936	102	12	typically	typically	ADV
ap-936	102	13	a	a	DET
ap-936	102	14	divergent	divergent	ADJ
ap-936	102	15	term	term	NOUN
ap-936	102	16	proportional	proportional	ADJ
ap-936	102	17	to1	to1	PROPN
ap-936	102	18	x.	x.	NOUN
ap-936	102	19	in	in	ADP
ap-936	102	20	such	such	ADJ
ap-936	102	21	situations	situation	NOUN
ap-936	102	22	the	the	DET
ap-936	102	23	eigenfunction	eigenfunction	NOUN
ap-936	102	24	corresponding	correspond	VERB
ap-936	102	25	to	to	ADP
ap-936	102	26	one	one	NUM
ap-936	102	27	of	of	ADP
ap-936	102	28	the	the	DET
ap-936	102	29	real	real	ADJ
ap-936	102	30	eigenvalues	eigenvalue	NOUN
ap-936	102	31	expected	expect	VERB
ap-936	102	32	to	to	PART
ap-936	102	33	merge	merge	VERB
ap-936	102	34	at	at	ADP
ap-936	102	35	the	the	DET
ap-936	102	36	ep	ep	PROPN
ap-936	102	37	ceases	cease	VERB
ap-936	102	38	to	to	PART
ap-936	102	39	be	be	AUX
ap-936	102	40	square	square	ADV
ap-936	102	41	integrable	integrable	ADJ
ap-936	102	42	and	and	CCONJ
ap-936	102	43	thus	thus	ADV
ap-936	102	44	in	in	ADP
ap-936	102	45	this	this	DET
ap-936	102	46	point	point	NOUN
ap-936	102	47	one	one	PRON
ap-936	102	48	sees	see	VERB
ap-936	102	49	a	a	DET
ap-936	102	50	splitting	splitting	NOUN
ap-936	102	51	of	of	ADP
ap-936	102	52	one	one	NUM
ap-936	102	53	real	real	ADJ
ap-936	102	54	energy	energy	NOUN
ap-936	102	55	into	into	ADP
ap-936	102	56	two	two	NUM
ap-936	102	57	complex	complex	ADJ
ap-936	102	58	energies	energy	NOUN
ap-936	102	59	(	(	PUNCT
ap-936	102	60	see	see	VERB
ap-936	102	61	for	for	ADP
ap-936	102	62	example	example	NOUN
ap-936	102	63	[	[	X
ap-936	102	64	12	12	NUM
ap-936	102	65	]	]	PUNCT
ap-936	102	66	)	)	PUNCT
ap-936	102	67	.	.	PUNCT
ap-936	103	1	we	we	PRON
ap-936	103	2	will	will	AUX
ap-936	103	3	also	also	ADV
ap-936	103	4	discuss	discuss	VERB
ap-936	103	5	this	this	PRON
ap-936	103	6	later	later	ADV
ap-936	103	7	with	with	ADP
ap-936	103	8	the	the	DET
ap-936	103	9	radial	radial	ADJ
ap-936	103	10	dirac	dirac	NOUN
ap-936	103	11	equation	equation	NOUN
ap-936	103	12	.	.	PUNCT
ap-936	104	1	3	3	NUM
ap-936	104	2	relativistic	relativistic	ADJ
ap-936	104	3	systems	system	NOUN
ap-936	104	4	the	the	DET
ap-936	104	5	equations	equation	NOUN
ap-936	104	6	of	of	ADP
ap-936	104	7	relativistic	relativistic	ADJ
ap-936	104	8	quantum	quantum	ADJ
ap-936	104	9	mechanics	mechanic	NOUN
ap-936	104	10	provide	provide	VERB
ap-936	104	11	a	a	DET
ap-936	104	12	natural	natural	ADJ
ap-936	104	13	resource	resource	NOUN
ap-936	104	14	of	of	ADP
ap-936	104	15	systems	system	NOUN
ap-936	104	16	with	with	ADP
ap-936	104	17	complexification	complexification	NOUN
ap-936	104	18	phenomena	phenomenon	NOUN
ap-936	104	19	.	.	PUNCT
ap-936	105	1	in	in	ADP
ap-936	105	2	contrast	contrast	NOUN
ap-936	105	3	to	to	ADP
ap-936	105	4	non	non	ADJ
ap-936	105	5	-	-	ADJ
ap-936	105	6	relativistic	relativistic	ADJ
ap-936	105	7	�	�	PROPN
ap-936	105	8	�	�	PROPN
ap-936	105	9	-symmetry	-symmetry	NOUN
ap-936	105	10	,	,	PUNCT
ap-936	105	11	here	here	ADV
ap-936	105	12	one	one	NOUN
ap-936	105	13	does	do	AUX
ap-936	105	14	not	not	PART
ap-936	105	15	need	need	VERB
ap-936	105	16	to	to	PART
ap-936	105	17	add	add	VERB
ap-936	105	18	an	an	DET
ap-936	105	19	“	"	PUNCT
ap-936	105	20	artificial	artificial	ADJ
ap-936	105	21	”	"	PUNCT
ap-936	105	22	complex	complex	ADJ
ap-936	105	23	term	term	NOUN
ap-936	105	24	and	and	CCONJ
ap-936	105	25	complexification	complexification	NOUN
ap-936	105	26	is	be	AUX
ap-936	105	27	encountered	encounter	VERB
ap-936	105	28	within	within	ADP
ap-936	105	29	undoubtedly	undoubtedly	ADV
ap-936	105	30	physically	physically	ADV
ap-936	105	31	relevant	relevant	ADJ
ap-936	105	32	problems	problem	NOUN
ap-936	105	33	.	.	PUNCT
ap-936	106	1	the	the	DET
ap-936	106	2	point	point	NOUN
ap-936	106	3	of	of	ADP
ap-936	106	4	complexification	complexification	NOUN
ap-936	106	5	is	be	AUX
ap-936	106	6	usually	usually	ADV
ap-936	106	7	regarded	regard	VERB
ap-936	106	8	as	as	ADP
ap-936	106	9	the	the	DET
ap-936	106	10	furthermost	furthermost	ADJ
ap-936	106	11	boundary	boundary	NOUN
ap-936	106	12	of	of	ADP
ap-936	106	13	quantum	quantum	NOUN
ap-936	106	14	-	-	PUNCT
ap-936	106	15	mechanically	mechanically	ADV
ap-936	106	16	describable	describable	ADJ
ap-936	106	17	configuration	configuration	NOUN
ap-936	106	18	.	.	PUNCT
ap-936	107	1	in	in	ADP
ap-936	107	2	the	the	DET
ap-936	107	3	following	follow	VERB
ap-936	107	4	subsections	subsection	NOUN
ap-936	107	5	we	we	PRON
ap-936	107	6	will	will	AUX
ap-936	107	7	discuss	discuss	VERB
ap-936	107	8	in	in	ADP
ap-936	107	9	more	more	ADJ
ap-936	107	10	detail	detail	NOUN
ap-936	107	11	three	three	NUM
ap-936	107	12	different	different	ADJ
ap-936	107	13	relativistic	relativistic	ADJ
ap-936	107	14	models	model	NOUN
ap-936	107	15	.	.	PUNCT
ap-936	108	1	3.1	3.1	NUM
ap-936	108	2	dirac	dirac	NOUN
ap-936	108	3	square	square	PROPN
ap-936	108	4	well	well	INTJ
ap-936	108	5	one	one	NUM
ap-936	108	6	of	of	ADP
ap-936	108	7	the	the	DET
ap-936	108	8	simplest	simple	ADJ
ap-936	108	9	interactions	interaction	NOUN
ap-936	108	10	that	that	PRON
ap-936	108	11	can	can	AUX
ap-936	108	12	be	be	AUX
ap-936	108	13	imagined	imagine	VERB
ap-936	108	14	is	be	AUX
ap-936	108	15	represented	represent	VERB
ap-936	108	16	by	by	ADP
ap-936	108	17	a	a	DET
ap-936	108	18	finite	finite	ADJ
ap-936	108	19	square	square	ADJ
ap-936	108	20	well	well	INTJ
ap-936	108	21	potential	potential	NOUN
ap-936	108	22	.	.	PUNCT
ap-936	109	1	the	the	DET
ap-936	109	2	first	first	ADJ
ap-936	109	3	discussed	discuss	VERB
ap-936	109	4	relativistic	relativistic	ADJ
ap-936	109	5	system	system	NOUN
ap-936	109	6	will	will	AUX
ap-936	109	7	be	be	AUX
ap-936	109	8	the	the	DET
ap-936	109	9	spin	spin	NOUN
ap-936	109	10	1	1	NUM
ap-936	109	11	2	2	NUM
ap-936	109	12	particle	particle	NOUN
ap-936	109	13	in	in	ADP
ap-936	109	14	such	such	ADJ
ap-936	109	15	potential	potential	NOUN
ap-936	109	16	.	.	PUNCT
ap-936	110	1	the	the	DET
ap-936	110	2	one	one	NUM
ap-936	110	3	-	-	PUNCT
ap-936	110	4	dimensional	dimensional	ADJ
ap-936	110	5	dirac	dirac	NOUN
ap-936	110	6	hamiltonian	hamiltonian	NOUN
ap-936	110	7	in	in	ADP
ap-936	110	8	one	one	NUM
ap-936	110	9	suitable	suitable	ADJ
ap-936	110	10	representation	representation	NOUN
ap-936	110	11	reads	read	VERB
ap-936	110	12	h	h	PROPN
ap-936	110	13	�	�	PROPN
ap-936	110	14	�	�	PROPN
ap-936	110	15	�	�	PROPN
ap-936	110	16	�	�	PROPN
ap-936	110	17	�	�	PROPN
ap-936	110	18	�	�	PROPN
ap-936	110	19	�	�	PROPN
ap-936	110	20	�	�	PROPN
ap-936	110	21	�	�	PROPN
ap-936	110	22	�	�	PROPN
ap-936	110	23	�	�	PROPN
ap-936	110	24	�	�	PROPN
ap-936	110	25	�	�	PROPN
ap-936	110	26	�	�	PROPN
ap-936	110	27	m	m	NOUN
ap-936	110	28	c	c	NOUN
ap-936	110	29	x	x	PUNCT
ap-936	110	30	i	i	PRON
ap-936	110	31	i	i	PRON
ap-936	110	32	m	m	VERB
ap-936	110	33	c	c	NOUN
ap-936	110	34	x	x	PUNCT
ap-936	110	35	d	d	NOUN
ap-936	110	36	x	x	X
ap-936	110	37	x	x	SYM
ap-936	110	38	d	d	X
ap-936	110	39	�	�	PROPN
ap-936	110	40	�	�	PROPN
ap-936	110	41	�	�	PROPN
ap-936	110	42	�	�	PROPN
ap-936	110	43	(	(	PUNCT
ap-936	110	44	,	,	PUNCT
ap-936	110	45	)	)	PUNCT
ap-936	110	46	(	(	PUNCT
ap-936	110	47	,	,	PUNCT
ap-936	110	48	)	)	PUNCT
ap-936	110	49	(	(	PUNCT
ap-936	110	50	)	)	PUNCT
ap-936	110	51	(	(	PUNCT
ap-936	110	52	)	)	PUNCT
ap-936	110	53	0	0	NUM
ap-936	110	54	0	0	NUM
ap-936	110	55	,	,	PUNCT
ap-936	110	56	(	(	PUNCT
ap-936	110	57	16	16	NUM
ap-936	110	58	)	)	PUNCT
ap-936	110	59	where	where	SCONJ
ap-936	110	60	c	c	NOUN
ap-936	110	61	and	and	CCONJ
ap-936	110	62	d	d	PROPN
ap-936	110	63	are	be	AUX
ap-936	110	64	the	the	DET
ap-936	110	65	well	well	NOUN
ap-936	110	66	’s	’s	PART
ap-936	110	67	depth	depth	NOUN
ap-936	110	68	and	and	CCONJ
ap-936	110	69	width	width	ADJ
ap-936	110	70	,	,	PUNCT
ap-936	110	71	respectively	respectively	ADV
ap-936	110	72	,	,	PUNCT
ap-936	110	73	and	and	CCONJ
ap-936	110	74	is	be	AUX
ap-936	110	75	the	the	DET
ap-936	110	76	mass	mass	NOUN
ap-936	110	77	of	of	ADP
ap-936	110	78	the	the	DET
ap-936	110	79	particle	particle	NOUN
ap-936	110	80	,	,	PUNCT
ap-936	110	81	throughout	throughout	ADP
ap-936	110	82	the	the	DET
ap-936	110	83	following	follow	VERB
ap-936	110	84	deliberately	deliberately	ADV
ap-936	110	85	put	put	VERB
ap-936	110	86	to	to	PART
ap-936	110	87	be	be	AUX
ap-936	110	88	equal	equal	ADJ
ap-936	110	89	to	to	ADP
ap-936	110	90	one	one	NUM
ap-936	110	91	.	.	PUNCT
ap-936	111	1	the	the	DET
ap-936	111	2	domain	domain	NOUN
ap-936	111	3	of	of	ADP
ap-936	111	4	the	the	DET
ap-936	111	5	hamiltonian	hamiltonian	NOUN
ap-936	111	6	(	(	PUNCT
ap-936	111	7	16	16	NUM
ap-936	111	8	)	)	PUNCT
ap-936	111	9	is	be	AUX
ap-936	111	10	�	�	PROPN
ap-936	111	11	�	�	PROPN
ap-936	111	12	domh	domh	PROPN
ap-936	111	13	�	�	PROPN
ap-936	111	14	�	�	PROPN
ap-936	111	15	�	�	PROPN
ap-936	111	16	�	�	PROPN
ap-936	111	17	�	�	PROPN
ap-936	111	18	�	�	PROPN
ap-936	111	19	l	l	PROPN
ap-936	111	20	l	l	NOUN
ap-936	111	21	l	l	NOUN
ap-936	111	22	l2	l2	NOUN
ap-936	111	23	2	2	NUM
ap-936	111	24	2	2	NUM
ap-936	111	25	2	2	NUM
ap-936	111	26	(	(	PUNCT
ap-936	111	27	)	)	PUNCT
ap-936	111	28	(	(	PUNCT
ap-936	111	29	)	)	PUNCT
ap-936	111	30	(	(	PUNCT
ap-936	111	31	)	)	PUNCT
ap-936	111	32	(	(	PUNCT
ap-936	111	33	)	)	PUNCT
ap-936	111	34	�	�	PROPN
ap-936	111	35	�	�	PROPN
ap-936	111	36	�	�	PROPN
ap-936	111	37	�	�	PROPN
ap-936	111	38	.	.	PUNCT
ap-936	112	1	(	(	PUNCT
ap-936	112	2	17	17	NUM
ap-936	112	3	)	)	PUNCT
ap-936	112	4	the	the	DET
ap-936	112	5	hamiltonian	hamiltonian	NOUN
ap-936	112	6	has	have	VERB
ap-936	112	7	as	as	ADV
ap-936	112	8	usual	usual	ADJ
ap-936	112	9	the	the	DET
ap-936	112	10	dirac	dirac	NOUN
ap-936	112	11	hamiltonian	hamiltonian	ADJ
ap-936	112	12	continuous	continuous	ADJ
ap-936	112	13	spectrum	spectrum	PROPN
ap-936	112	14	�	�	PROPN
ap-936	112	15	c	c	PROPN
ap-936	112	16	�	�	PROPN
ap-936	112	17	�	�	PROPN
ap-936	112	18	�	�	PROPN
ap-936	112	19	�	�	PROPN
ap-936	112	20	�	�	PROPN
ap-936	112	21	�	�	PROPN
ap-936	112	22	(	(	PUNCT
ap-936	112	23	,	,	PUNCT
ap-936	112	24	)	)	PUNCT
ap-936	112	25	(	(	PUNCT
ap-936	112	26	,	,	PUNCT
ap-936	112	27	)	)	PUNCT
ap-936	112	28	1	1	NUM
ap-936	112	29	1	1	NUM
ap-936	112	30	which	which	PRON
ap-936	112	31	does	do	AUX
ap-936	112	32	not	not	PART
ap-936	112	33	depend	depend	VERB
ap-936	112	34	on	on	ADP
ap-936	112	35	c	c	PROPN
ap-936	112	36	,	,	PUNCT
ap-936	112	37	d.	d.	PROPN
ap-936	112	38	our	our	PRON
ap-936	112	39	interest	interest	NOUN
ap-936	112	40	is	be	AUX
ap-936	112	41	concentrated	concentrate	VERB
ap-936	112	42	on	on	ADP
ap-936	112	43	the	the	DET
ap-936	112	44	bound	bind	VERB
ap-936	112	45	states	state	NOUN
ap-936	112	46	.	.	PUNCT
ap-936	113	1	the	the	DET
ap-936	113	2	search	search	NOUN
ap-936	113	3	for	for	ADP
ap-936	113	4	stationary	stationary	ADJ
ap-936	113	5	states	state	NOUN
ap-936	113	6	consists	consist	VERB
ap-936	113	7	of	of	ADP
ap-936	113	8	solving	solve	VERB
ap-936	113	9	the	the	DET
ap-936	113	10	problem	problem	NOUN
ap-936	113	11	on	on	ADP
ap-936	113	12	the	the	DET
ap-936	113	13	intervals	interval	NOUN
ap-936	113	14	ii	ii	PROPN
ap-936	113	15	�	�	PROPN
ap-936	113	16	�	�	PROPN
ap-936	113	17	�	�	PROPN
ap-936	113	18	(	(	PUNCT
ap-936	113	19	,	,	PUNCT
ap-936	113	20	)	)	PUNCT
ap-936	113	21	0	0	NUM
ap-936	113	22	,	,	PUNCT
ap-936	113	23	i	i	PRON
ap-936	113	24	dii	dii	VERB
ap-936	113	25	�	�	PROPN
ap-936	113	26	(	(	PUNCT
ap-936	113	27	,	,	PUNCT
ap-936	113	28	)	)	PUNCT
ap-936	113	29	0	0	PUNCT
ap-936	114	1	and	and	CCONJ
ap-936	114	2	i	i	PROPN
ap-936	114	3	diii	diii	PROPN
ap-936	114	4	�	�	PROPN
ap-936	114	5	�	�	PROPN
ap-936	114	6	(	(	PUNCT
ap-936	114	7	,	,	PUNCT
ap-936	114	8	)	)	PUNCT
ap-936	114	9	.	.	PUNCT
ap-936	115	1	the	the	DET
ap-936	115	2	normalisable	normalisable	ADJ
ap-936	115	3	solutions	solution	NOUN
ap-936	115	4	for	for	ADP
ap-936	115	5	energy	energy	NOUN
ap-936	115	6	e	e	NOUN
ap-936	115	7	are	be	AUX
ap-936	115	8	�	�	PROPN
ap-936	115	9	�	�	PROPN
ap-936	115	10	�	�	PROPN
ap-936	115	11	�	�	PROPN
ap-936	115	12	�	�	PROPN
ap-936	116	1	i	i	PRON
ap-936	116	2	i	i	PROPN
ap-936	116	3	ii	ii	VERB
ap-936	116	4	ii	ii	PROPN
ap-936	116	5	ii	ii	PROPN
ap-936	116	6	iii	iii	PROPN
ap-936	116	7	iii	iii	PROPN
ap-936	116	8	�	�	PROPN
ap-936	116	9	�	�	PROPN
ap-936	116	10	�	�	PROPN
ap-936	116	11	�	�	PROPN
ap-936	116	12	�	�	PROPN
ap-936	116	13	�	�	PROPN
ap-936	116	14	�	�	PROPN
ap-936	116	15	�	�	PROPN
ap-936	117	1	k	k	PROPN
ap-936	117	2	k	k	PROPN
ap-936	118	1	k	k	PROPN
ap-936	118	2	k	k	PUNCT
ap-936	118	3	x	x	PUNCT
ap-936	118	4	x	x	PUNCT
ap-936	118	5	x	x	PUNCT
ap-936	118	6	x	x	PUNCT
ap-936	118	7	e	e	X
ap-936	118	8	e	e	X
ap-936	118	9	e	e	X
ap-936	118	10	e	e	X
ap-936	118	11	,	,	PUNCT
ap-936	118	12	,	,	PUNCT
ap-936	118	13	.	.	PUNCT
ap-936	119	1	(	(	PUNCT
ap-936	119	2	18	18	NUM
ap-936	119	3	)	)	PUNCT
ap-936	119	4	where	where	SCONJ
ap-936	119	5	k	k	PROPN
ap-936	119	6	refers	refer	VERB
ap-936	119	7	to	to	ADP
ap-936	119	8	still	still	ADV
ap-936	119	9	unspecified	unspecified	ADJ
ap-936	119	10	complex	complex	ADJ
ap-936	119	11	constants	constant	NOUN
ap-936	119	12	and	and	CCONJ
ap-936	119	13	�	�	PROPN
ap-936	119	14	�	�	PROPN
ap-936	119	15	�	�	PROPN
ap-936	119	16	�	�	PROPN
ap-936	119	17	�	�	PROPN
ap-936	119	18	�	�	PROPN
ap-936	119	19	�	�	PROPN
ap-936	119	20	�	�	PROPN
ap-936	119	21	�	�	PROPN
ap-936	119	22	�	�	PROPN
ap-936	119	23	�	�	PROPN
ap-936	119	24	�	�	PROPN
ap-936	119	25	�	�	PROPN
ap-936	119	26	�	�	PROPN
ap-936	119	27	1	1	NUM
ap-936	119	28	1	1	NUM
ap-936	119	29	(	(	PUNCT
ap-936	119	30	)	)	PUNCT
ap-936	119	31	,	,	PUNCT
ap-936	119	32	,	,	PUNCT
ap-936	119	33	,	,	PUNCT
ap-936	119	34	,	,	PUNCT
ap-936	119	35	c	c	X
ap-936	119	36	e	e	NOUN
ap-936	119	37	p	p	PROPN
ap-936	119	38	e	e	PROPN
ap-936	119	39	p	p	PROPN
ap-936	119	40	p	p	X
ap-936	119	41	(	(	PUNCT
ap-936	119	42	19	19	NUM
ap-936	119	43	)	)	PUNCT
ap-936	119	44	the	the	DET
ap-936	119	45	square	square	ADJ
ap-936	119	46	roots	root	NOUN
ap-936	119	47	are	be	AUX
ap-936	119	48	taken	take	VERB
ap-936	119	49	positive	positive	ADJ
ap-936	119	50	or	or	CCONJ
ap-936	119	51	positive	positive	ADJ
ap-936	119	52	imaginary	imaginary	ADJ
ap-936	119	53	(	(	PUNCT
ap-936	119	54	that	that	PRON
ap-936	119	55	is	be	AUX
ap-936	119	56	purely	purely	ADV
ap-936	119	57	imaginary	imaginary	ADJ
ap-936	119	58	with	with	ADP
ap-936	119	59	positive	positive	ADJ
ap-936	119	60	imaginary	imaginary	ADJ
ap-936	119	61	parts	part	NOUN
ap-936	119	62	)	)	PUNCT
ap-936	119	63	.	.	PUNCT
ap-936	120	1	the	the	DET
ap-936	120	2	matching	matching	NOUN
ap-936	120	3	conditions	condition	NOUN
ap-936	120	4	in	in	ADP
ap-936	120	5	0	0	NUM
ap-936	120	6	and	and	CCONJ
ap-936	120	7	d	d	NOUN
ap-936	120	8	involve	involve	VERB
ap-936	120	9	then	then	ADV
ap-936	120	10	only	only	ADV
ap-936	120	11	the	the	DET
ap-936	120	12	wave	wave	NOUN
ap-936	120	13	-	-	PUNCT
ap-936	120	14	function	function	NOUN
ap-936	120	15	,	,	PUNCT
ap-936	120	16	not	not	PART
ap-936	120	17	the	the	DET
ap-936	120	18	derivative	derivative	NOUN
ap-936	120	19	,	,	PUNCT
ap-936	120	20	as	as	SCONJ
ap-936	120	21	h	h	NOUN
ap-936	120	22	contains	contain	VERB
ap-936	120	23	only	only	ADV
ap-936	120	24	the	the	DET
ap-936	120	25	first	first	ADJ
ap-936	120	26	derivative	derivative	ADJ
ap-936	120	27	term	term	NOUN
ap-936	120	28	.	.	PUNCT
ap-936	121	1	after	after	ADP
ap-936	121	2	eliminating	eliminate	VERB
ap-936	121	3	all	all	DET
ap-936	121	4	k	k	PROPN
ap-936	121	5	s	s	X
ap-936	121	6	we	we	PRON
ap-936	121	7	get	get	VERB
ap-936	121	8	the	the	DET
ap-936	121	9	equation	equation	NOUN
ap-936	121	10	(	(	PUNCT
ap-936	121	11	)	)	SYM
ap-936	121	12	1	1	NUM
ap-936	121	13	1	1	NUM
ap-936	121	14	�	�	PROPN
ap-936	121	15	�	�	PROPN
ap-936	121	16	�	�	PROPN
ap-936	121	17	�	�	PROPN
ap-936	121	18	�	�	PROPN
ap-936	121	19	�	�	PROPN
ap-936	121	20	e	e	PROPN
ap-936	121	21	d	d	X
ap-936	121	22	(	(	PUNCT
ap-936	121	23	20	20	NUM
ap-936	121	24	)	)	PUNCT
ap-936	121	25	with	with	ADP
ap-936	121	26	�	�	PROPN
ap-936	121	27	�	�	PROPN
ap-936	121	28	�	�	PROPN
ap-936	121	29	�	�	PROPN
ap-936	121	30	�	�	PROPN
ap-936	121	31	�	�	PROPN
ap-936	121	32	p	p	PROPN
ap-936	121	33	p	p	PROPN
ap-936	121	34	.	.	PUNCT
ap-936	122	1	from	from	ADP
ap-936	122	2	the	the	DET
ap-936	122	3	definitions	definition	NOUN
ap-936	122	4	above	above	ADP
ap-936	122	5	it	it	PRON
ap-936	122	6	can	can	AUX
ap-936	122	7	be	be	AUX
ap-936	122	8	seen	see	VERB
ap-936	122	9	that	that	SCONJ
ap-936	122	10	�	�	PROPN
ap-936	122	11	is	be	AUX
ap-936	122	12	real	real	ADV
ap-936	122	13	positive	positive	ADJ
ap-936	122	14	or	or	CCONJ
ap-936	122	15	imaginary	imaginary	ADJ
ap-936	122	16	positive	positive	ADJ
ap-936	122	17	,	,	PUNCT
ap-936	122	18	but	but	CCONJ
ap-936	122	19	no	no	DET
ap-936	122	20	real	real	ADJ
ap-936	122	21	positive	positive	ADJ
ap-936	122	22	�	�	PROPN
ap-936	122	23	can	can	AUX
ap-936	122	24	fulfill	fulfill	VERB
ap-936	122	25	equation	equation	NOUN
ap-936	122	26	(	(	PUNCT
ap-936	122	27	20	20	NUM
ap-936	122	28	)	)	PUNCT
ap-936	122	29	.	.	PUNCT
ap-936	123	1	it	it	PRON
ap-936	123	2	follows	follow	VERB
ap-936	123	3	that	that	SCONJ
ap-936	123	4	e	e	NOUN
ap-936	123	5	lies	lie	VERB
ap-936	123	6	in	in	ADP
ap-936	123	7	the	the	DET
ap-936	123	8	interval	interval	NOUN
ap-936	123	9	(	(	PUNCT
ap-936	123	10	�	�	PROPN
ap-936	123	11	1	1	NUM
ap-936	123	12	,	,	PUNCT
ap-936	123	13	1	1	NUM
ap-936	123	14	)	)	PUNCT
ap-936	123	15	and	and	CCONJ
ap-936	123	16	thus	thus	ADV
ap-936	123	17	in	in	ADP
ap-936	123	18	the	the	DET
ap-936	123	19	gap	gap	NOUN
ap-936	123	20	of	of	ADP
ap-936	123	21	the	the	DET
ap-936	123	22	continuous	continuous	ADJ
ap-936	123	23	spectrum	spectrum	NOUN
ap-936	123	24	,	,	PUNCT
ap-936	123	25	as	as	SCONJ
ap-936	123	26	might	might	AUX
ap-936	123	27	be	be	AUX
ap-936	123	28	expected	expect	VERB
ap-936	123	29	.	.	PUNCT
ap-936	124	1	now	now	ADV
ap-936	124	2	it	it	PRON
ap-936	124	3	would	would	AUX
ap-936	124	4	be	be	AUX
ap-936	124	5	useful	useful	ADJ
ap-936	124	6	to	to	PART
ap-936	124	7	take	take	VERB
ap-936	124	8	a	a	DET
ap-936	124	9	logarithm	logarithm	NOUN
ap-936	124	10	of	of	ADP
ap-936	124	11	both	both	DET
ap-936	124	12	sides	side	NOUN
ap-936	124	13	of	of	ADP
ap-936	124	14	(	(	PUNCT
ap-936	124	15	20	20	NUM
ap-936	124	16	)	)	PUNCT
ap-936	124	17	to	to	PART
ap-936	124	18	get	get	VERB
ap-936	124	19	a	a	DET
ap-936	124	20	real	real	ADJ
ap-936	124	21	equation	equation	NOUN
ap-936	124	22	�	�	PROPN
ap-936	124	23	�	�	PROPN
ap-936	124	24	2	2	NUM
ap-936	124	25	1	1	NUM
ap-936	124	26	1	1	NUM
ap-936	124	27	1	1	NUM
ap-936	124	28	1	1	NUM
ap-936	124	29	2	2	NUM
ap-936	124	30	12	12	NUM
ap-936	124	31	�	�	PROPN
ap-936	124	32	�	�	PROPN
ap-936	124	33	�	�	PROPN
ap-936	124	34	�	�	PROPN
ap-936	124	35	�	�	PROPN
ap-936	124	36	�	�	PROPN
ap-936	124	37	�	�	PROPN
ap-936	124	38	�	�	PROPN
ap-936	124	39	�	�	PROPN
ap-936	124	40	�	�	PROPN
ap-936	124	41	arctan	arctan	PROPN
ap-936	124	42	(	(	PUNCT
ap-936	124	43	)	)	PUNCT
ap-936	124	44	(	(	PUNCT
ap-936	124	45	)	)	PUNCT
ap-936	124	46	(	(	PUNCT
ap-936	124	47	)	)	PUNCT
ap-936	124	48	(	(	PUNCT
ap-936	124	49	)	)	PUNCT
ap-936	124	50	(	(	PUNCT
ap-936	124	51	)	)	PUNCT
ap-936	124	52	mod	mod	PROPN
ap-936	124	53	e	e	X
ap-936	124	54	c	c	NOUN
ap-936	124	55	e	e	X
ap-936	124	56	e	e	X
ap-936	124	57	c	c	X
ap-936	124	58	e	e	X
ap-936	124	59	d	d	X
ap-936	124	60	c	c	NOUN
ap-936	124	61	e	e	X
ap-936	124	62	.	.	PUNCT
ap-936	125	1	(	(	PUNCT
ap-936	125	2	21	21	NUM
ap-936	125	3	)	)	PUNCT
ap-936	125	4	by	by	ADP
ap-936	125	5	investigating	investigate	VERB
ap-936	125	6	(	(	PUNCT
ap-936	125	7	21	21	NUM
ap-936	125	8	)	)	PUNCT
ap-936	125	9	we	we	PRON
ap-936	125	10	arrive	arrive	VERB
ap-936	125	11	at	at	ADP
ap-936	125	12	the	the	DET
ap-936	125	13	following	follow	VERB
ap-936	125	14	observations	observation	NOUN
ap-936	125	15	about	about	ADP
ap-936	125	16	the	the	DET
ap-936	125	17	dependence	dependence	NOUN
ap-936	125	18	of	of	ADP
ap-936	125	19	the	the	DET
ap-936	125	20	energies	energy	NOUN
ap-936	125	21	on	on	ADP
ap-936	125	22	parameters	parameter	NOUN
ap-936	125	23	c	c	PROPN
ap-936	125	24	and	and	CCONJ
ap-936	125	25	d	d	NOUN
ap-936	125	26	:	:	PUNCT
ap-936	126	1	1	1	NUM
ap-936	126	2	.	.	PUNCT
ap-936	126	3	due	due	ADP
ap-936	126	4	to	to	ADP
ap-936	126	5	the	the	DET
ap-936	126	6	symmetry	symmetry	NOUN
ap-936	126	7	of	of	ADP
ap-936	126	8	the	the	DET
ap-936	126	9	system	system	NOUN
ap-936	126	10	the	the	DET
ap-936	126	11	change	change	NOUN
ap-936	126	12	c	c	PROPN
ap-936	126	13	c	c	PROPN
ap-936	126	14	�	�	PROPN
ap-936	126	15	yields	yield	VERB
ap-936	126	16	e	e	X
ap-936	126	17	e	e	X
ap-936	126	18	�	�	PROPN
ap-936	126	19	and	and	CCONJ
ap-936	126	20	thus	thus	ADV
ap-936	126	21	one	one	NUM
ap-936	126	22	can	can	AUX
ap-936	126	23	restrict	restrict	VERB
ap-936	126	24	one	one	NUM
ap-936	126	25	’s	’s	PART
ap-936	126	26	attention	attention	NOUN
ap-936	126	27	to	to	ADP
ap-936	126	28	c	c	PROPN
ap-936	126	29	�	�	PROPN
ap-936	126	30	0	0	NUM
ap-936	126	31	without	without	ADP
ap-936	126	32	loss	loss	NOUN
ap-936	126	33	of	of	ADP
ap-936	126	34	generality	generality	NOUN
ap-936	126	35	.	.	PUNCT
ap-936	127	1	2	2	X
ap-936	127	2	.	.	X
ap-936	127	3	each	each	DET
ap-936	127	4	energy	energy	NOUN
ap-936	127	5	decreases	decrease	VERB
ap-936	127	6	as	as	ADP
ap-936	127	7	c	c	NOUN
ap-936	127	8	or	or	CCONJ
ap-936	127	9	d	d	NOUN
ap-936	127	10	increases	increase	NOUN
ap-936	127	11	.	.	PUNCT
ap-936	128	1	3	3	X
ap-936	128	2	.	.	X
ap-936	128	3	for	for	ADP
ap-936	128	4	the	the	DET
ap-936	128	5	i	i	PROPN
ap-936	128	6	-	-	PUNCT
ap-936	128	7	th	th	X
ap-936	128	8	bound	bind	VERB
ap-936	128	9	state	state	NOUN
ap-936	128	10	and	and	CCONJ
ap-936	128	11	fixed	fix	VERB
ap-936	128	12	d	d	ADP
ap-936	128	13	there	there	PRON
ap-936	128	14	are	be	VERB
ap-936	128	15	critical	critical	ADJ
ap-936	128	16	values	value	NOUN
ap-936	128	17	c	c	PROPN
ap-936	128	18	di	di	X
ap-936	128	19	min	min	PROPN
ap-936	128	20	(	(	PUNCT
ap-936	128	21	)	)	PUNCT
ap-936	128	22	and	and	CCONJ
ap-936	128	23	c	c	PROPN
ap-936	128	24	di	di	X
ap-936	128	25	max	max	PROPN
ap-936	128	26	(	(	PUNCT
ap-936	128	27	)	)	PUNCT
ap-936	128	28	such	such	ADJ
ap-936	128	29	that	that	SCONJ
ap-936	128	30	the	the	DET
ap-936	128	31	bound	bound	ADJ
ap-936	128	32	state	state	NOUN
ap-936	128	33	exists	exist	VERB
ap-936	128	34	only	only	ADV
ap-936	128	35	if	if	SCONJ
ap-936	128	36	c	c	PROPN
ap-936	128	37	c	c	PROPN
ap-936	128	38	ci	ci	PROPN
ap-936	129	1	i	i	PRON
ap-936	129	2	(	(	PUNCT
ap-936	129	3	,	,	PUNCT
ap-936	129	4	)	)	PUNCT
ap-936	129	5	min	min	PROPN
ap-936	129	6	max	max	PROPN
ap-936	129	7	.	.	PUNCT
ap-936	130	1	the	the	DET
ap-936	130	2	energy	energy	NOUN
ap-936	130	3	of	of	ADP
ap-936	130	4	the	the	DET
ap-936	130	5	bound	bound	ADJ
ap-936	130	6	state	state	NOUN
ap-936	130	7	“	"	PUNCT
ap-936	130	8	sinks	sink	NOUN
ap-936	130	9	”	"	PUNCT
ap-936	130	10	into	into	ADP
ap-936	130	11	the	the	DET
ap-936	130	12	continuous	continuous	ADJ
ap-936	130	13	spectrum	spectrum	NOUN
ap-936	130	14	at	at	ADP
ap-936	130	15	these	these	DET
ap-936	130	16	points	point	NOUN
ap-936	130	17	:	:	PUNCT
ap-936	130	18	lim	lim	PROPN
ap-936	130	19	,	,	PUNCT
ap-936	130	20	lim	lim	PROPN
ap-936	130	21	.	.	PUNCT
ap-936	131	1	min	min	PROPN
ap-936	131	2	max	max	PROPN
ap-936	132	1	c	c	PROPN
ap-936	132	2	c	c	NOUN
ap-936	133	1	i	i	PRON
ap-936	133	2	c	c	VERB
ap-936	133	3	c	c	NOUN
ap-936	134	1	i	i	PRON
ap-936	134	2	i	i	INTJ
ap-936	135	1	i	i	PRON
ap-936	135	2	e	e	VERB
ap-936	135	3	e	e	PROPN
ap-936	135	4	�	�	PROPN
ap-936	135	5	�	�	PROPN
ap-936	135	6	�	�	PROPN
ap-936	135	7	1	1	NUM
ap-936	135	8	1	1	NUM
ap-936	135	9	(	(	PUNCT
ap-936	135	10	22	22	NUM
ap-936	135	11	)	)	PUNCT
ap-936	135	12	4	4	NUM
ap-936	135	13	.	.	PUNCT
ap-936	136	1	by	by	ADP
ap-936	136	2	analogy	analogy	NOUN
ap-936	136	3	for	for	ADP
ap-936	136	4	fixed	fix	VERB
ap-936	136	5	c	c	NOUN
ap-936	136	6	there	there	PRON
ap-936	136	7	are	be	VERB
ap-936	136	8	d	d	PROPN
ap-936	136	9	ci	ci	PROPN
ap-936	136	10	min	min	PROPN
ap-936	136	11	(	(	PUNCT
ap-936	136	12	)	)	PUNCT
ap-936	136	13	and	and	CCONJ
ap-936	136	14	d	d	PROPN
ap-936	136	15	ci	ci	PROPN
ap-936	136	16	max	max	PROPN
ap-936	136	17	(	(	PUNCT
ap-936	136	18	)	)	PUNCT
ap-936	136	19	and	and	CCONJ
ap-936	136	20	the	the	DET
ap-936	136	21	bound	bound	ADJ
ap-936	136	22	state	state	NOUN
ap-936	136	23	exists	exist	VERB
ap-936	136	24	only	only	ADV
ap-936	136	25	if	if	SCONJ
ap-936	136	26	d	d	PROPN
ap-936	136	27	d	d	X
ap-936	136	28	di	di	X
ap-936	136	29	i	i	NOUN
ap-936	136	30	(	(	PUNCT
ap-936	136	31	,	,	PUNCT
ap-936	136	32	)	)	PUNCT
ap-936	136	33	min	min	PROPN
ap-936	136	34	max	max	PROPN
ap-936	136	35	.	.	PUNCT
ap-936	137	1	5	5	X
ap-936	137	2	.	.	X
ap-936	138	1	d	d	NOUN
ap-936	138	2	c	c	NOUN
ap-936	139	1	i	i	PRON
ap-936	139	2	c	c	PROPN
ap-936	139	3	ci	ci	PROPN
ap-936	139	4	min	min	PROPN
ap-936	139	5	(	(	PUNCT
ap-936	139	6	)	)	PUNCT
ap-936	139	7	(	(	PUNCT
ap-936	139	8	)	)	PUNCT
ap-936	139	9	�	�	PROPN
ap-936	139	10	�	�	PROPN
ap-936	139	11	2	2	NUM
ap-936	139	12	2	2	NUM
ap-936	139	13	�	�	NOUN
ap-936	139	14	and	and	CCONJ
ap-936	139	15	d	d	NOUN
ap-936	139	16	c	c	NOUN
ap-936	140	1	i	i	PRON
ap-936	140	2	c	c	PROPN
ap-936	140	3	ci	ci	PROPN
ap-936	140	4	max	max	PROPN
ap-936	140	5	(	(	PUNCT
ap-936	140	6	)	)	PUNCT
ap-936	140	7	(	(	PUNCT
ap-936	140	8	)	)	PUNCT
ap-936	140	9	(	(	PUNCT
ap-936	140	10	)	)	PUNCT
ap-936	140	11	�	�	PROPN
ap-936	140	12	�	�	PROPN
ap-936	140	13	�	�	PROPN
ap-936	140	14	2	2	NUM
ap-936	140	15	1	1	NUM
ap-936	140	16	2	2	NUM
ap-936	140	17	�	�	PROPN
ap-936	140	18	.	.	PUNCT
ap-936	141	1	when	when	SCONJ
ap-936	141	2	c	c	X
ap-936	141	3	�	�	PROPN
ap-936	141	4	2	2	NUM
ap-936	141	5	the	the	DET
ap-936	141	6	value	value	NOUN
ap-936	141	7	d	d	PROPN
ap-936	141	8	ci	ci	PROPN
ap-936	141	9	max	max	PROPN
ap-936	141	10	(	(	PUNCT
ap-936	141	11	)	)	PUNCT
ap-936	141	12	�	�	PROPN
ap-936	141	13	�	�	PROPN
ap-936	141	14	.	.	PUNCT
ap-936	142	1	the	the	DET
ap-936	142	2	energies	energy	NOUN
ap-936	142	3	are	be	AUX
ap-936	142	4	numbered	number	VERB
ap-936	142	5	from	from	ADP
ap-936	142	6	0	0	NUM
ap-936	142	7	to	to	ADP
ap-936	142	8	�	�	PROPN
ap-936	142	9	.	.	PUNCT
ap-936	143	1	we	we	PRON
ap-936	143	2	can	can	AUX
ap-936	143	3	formally	formally	ADV
ap-936	143	4	consider	consider	VERB
ap-936	143	5	the	the	DET
ap-936	143	6	points	point	NOUN
ap-936	143	7	with	with	ADP
ap-936	143	8	parameters	parameter	NOUN
ap-936	143	9	c	c	PROPN
ap-936	143	10	d	d	SYM
ap-936	143	11	ci	ci	PROPN
ap-936	143	12	,	,	PUNCT
ap-936	143	13	(	(	PUNCT
ap-936	143	14	)	)	PUNCT
ap-936	143	15	min	min	NOUN
ap-936	143	16	or	or	CCONJ
ap-936	143	17	c	c	PROPN
ap-936	143	18	d	d	PROPN
ap-936	143	19	ci	ci	PROPN
ap-936	143	20	,	,	PUNCT
ap-936	143	21	(	(	PUNCT
ap-936	143	22	)	)	PUNCT
ap-936	143	23	max	max	PROPN
ap-936	143	24	as	as	ADP
ap-936	143	25	exceptional	exceptional	ADJ
ap-936	143	26	points	point	NOUN
ap-936	143	27	,	,	PUNCT
ap-936	143	28	but	but	CCONJ
ap-936	143	29	in	in	ADP
ap-936	143	30	these	these	DET
ap-936	143	31	points	point	NOUN
ap-936	143	32	no	no	DET
ap-936	143	33	complexification	complexification	NOUN
ap-936	143	34	takes	take	VERB
ap-936	143	35	place	place	NOUN
ap-936	143	36	.	.	PUNCT
ap-936	144	1	the	the	DET
ap-936	144	2	spin-1/2	spin-1/2	NOUN
ap-936	144	3	particle	particle	NOUN
ap-936	144	4	in	in	ADP
ap-936	144	5	a	a	DET
ap-936	144	6	square	square	ADJ
ap-936	144	7	well	well	NOUN
ap-936	144	8	thus	thus	ADV
ap-936	144	9	behaves	behave	VERB
ap-936	144	10	“	"	PUNCT
ap-936	144	11	correctly	correctly	ADV
ap-936	144	12	”	"	PUNCT
ap-936	144	13	and	and	CCONJ
ap-936	144	14	exhibits	exhibit	VERB
ap-936	144	15	no	no	DET
ap-936	144	16	complexification	complexification	NOUN
ap-936	144	17	for	for	ADP
ap-936	144	18	strong	strong	ADJ
ap-936	144	19	potential;	potential;	NOUN
ap-936	144	20	this	this	PRON
ap-936	144	21	can	can	AUX
ap-936	144	22	be	be	AUX
ap-936	144	23	placed	place	VERB
ap-936	144	24	in	in	ADP
ap-936	144	25	contrast	contrast	NOUN
ap-936	144	26	to	to	ADP
ap-936	144	27	a	a	DET
ap-936	144	28	scalar	scalar	ADJ
ap-936	144	29	particle	particle	NOUN
ap-936	144	30	in	in	ADP
ap-936	144	31	an	an	DET
ap-936	144	32	analogous	analogous	ADJ
ap-936	144	33	potential	potential	NOUN
ap-936	144	34	described	describe	VERB
ap-936	144	35	in	in	ADP
ap-936	144	36	the	the	DET
ap-936	144	37	next	next	ADJ
ap-936	144	38	subsection	subsection	NOUN
ap-936	144	39	.	.	PUNCT
ap-936	145	1	3.2	3.2	NUM
ap-936	145	2	klein	klein	PROPN
ap-936	145	3	-	-	PUNCT
ap-936	145	4	gordon	gordon	PROPN
ap-936	145	5	square	square	PROPN
ap-936	145	6	well	well	INTJ
ap-936	145	7	it	it	PRON
ap-936	145	8	is	be	AUX
ap-936	145	9	well	well	ADV
ap-936	145	10	known	know	VERB
ap-936	145	11	that	that	SCONJ
ap-936	145	12	a	a	DET
ap-936	145	13	scalar	scalar	ADJ
ap-936	145	14	particle	particle	NOUN
ap-936	145	15	is	be	AUX
ap-936	145	16	described	describe	VERB
ap-936	145	17	by	by	ADP
ap-936	145	18	the	the	DET
ap-936	145	19	klein	klein	PROPN
ap-936	145	20	-	-	PUNCT
ap-936	145	21	gordon	gordon	PROPN
ap-936	145	22	equation	equation	NOUN
ap-936	145	23	.	.	PUNCT
ap-936	146	1	as	as	ADP
ap-936	146	2	for	for	ADP
ap-936	146	3	the	the	DET
ap-936	146	4	involved	involved	ADJ
ap-936	146	5	potential	potential	NOUN
ap-936	146	6	we	we	PRON
ap-936	146	7	will	will	AUX
ap-936	146	8	consider	consider	VERB
ap-936	146	9	the	the	DET
ap-936	146	10	minimal	minimal	ADJ
ap-936	146	11	coupling	coupling	NOUN
ap-936	146	12	,	,	PUNCT
ap-936	146	13	and	and	CCONJ
ap-936	146	14	thus	thus	ADV
ap-936	146	15	the	the	DET
ap-936	146	16	equation	equation	NOUN
ap-936	146	17	for	for	ADP
ap-936	146	18	stationary	stationary	ADJ
ap-936	146	19	states	state	NOUN
ap-936	146	20	has	have	VERB
ap-936	146	21	the	the	DET
ap-936	146	22	form	form	NOUN
ap-936	146	23	©	©	PROPN
ap-936	146	24	czech	czech	PROPN
ap-936	146	25	technical	technical	PROPN
ap-936	146	26	university	university	PROPN
ap-936	146	27	publishing	publishing	NOUN
ap-936	146	28	house	house	NOUN
ap-936	146	29	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-936	146	30	53	53	NUM
ap-936	146	31	acta	acta	PROPN
ap-936	146	32	polytechnica	polytechnica	PROPN
ap-936	146	33	vol	vol	NOUN
ap-936	146	34	.	.	PUNCT
ap-936	147	1	47	47	NUM
ap-936	147	2	no	no	NOUN
ap-936	147	3	.	.	PUNCT
ap-936	148	1	2–3/2007	2–3/2007	NUM
ap-936	148	2	(	(	PUNCT
ap-936	148	3	(	(	PUNCT
ap-936	148	4	(	(	PUNCT
ap-936	148	5	)	)	PUNCT
ap-936	148	6	)	)	PUNCT
ap-936	148	7	)	)	PUNCT
ap-936	149	1	(	(	PUNCT
ap-936	149	2	)	)	PUNCT
ap-936	149	3	(	(	PUNCT
ap-936	149	4	,	,	PUNCT
ap-936	149	5	)	)	PUNCT
ap-936	149	6	e	e	NOUN
ap-936	149	7	c	c	NOUN
ap-936	149	8	x	x	X
ap-936	149	9	m	m	VERB
ap-936	149	10	xd	xd	ADP
ap-936	149	11	x	x	ADJ
ap-936	149	12	�	�	PROPN
ap-936	149	13	�	�	PROPN
ap-936	149	14	�	�	PROPN
ap-936	149	15	�	�	PROPN
ap-936	149	16	�	�	PROPN
ap-936	149	17	�	�	PROPN
ap-936	149	18	�	�	PROPN
ap-936	149	19	0	0	NUM
ap-936	149	20	2	2	NUM
ap-936	149	21	2	2	NUM
ap-936	149	22	2	2	NUM
ap-936	149	23	0	0	NUM
ap-936	149	24	,	,	PUNCT
ap-936	149	25	(	(	PUNCT
ap-936	149	26	23	23	NUM
ap-936	149	27	)	)	PUNCT
ap-936	149	28	where	where	SCONJ
ap-936	149	29	c	c	NOUN
ap-936	149	30	is	be	AUX
ap-936	149	31	the	the	DET
ap-936	149	32	well	well	NOUN
ap-936	149	33	’s	’s	PART
ap-936	149	34	depth	depth	NOUN
ap-936	149	35	and	and	CCONJ
ap-936	149	36	d	d	X
ap-936	149	37	its	its	PRON
ap-936	149	38	width	width	NOUN
ap-936	149	39	.	.	PUNCT
ap-936	150	1	it	it	PRON
ap-936	150	2	is	be	AUX
ap-936	150	3	worth	worth	ADJ
ap-936	150	4	mentioning	mention	VERB
ap-936	150	5	that	that	SCONJ
ap-936	150	6	it	it	PRON
ap-936	150	7	is	be	AUX
ap-936	150	8	possible	possible	ADJ
ap-936	150	9	to	to	PART
ap-936	150	10	describe	describe	VERB
ap-936	150	11	system	system	NOUN
ap-936	150	12	(	(	PUNCT
ap-936	150	13	23	23	NUM
ap-936	150	14	)	)	PUNCT
ap-936	150	15	by	by	ADP
ap-936	150	16	a	a	DET
ap-936	150	17	hamiltonian	hamiltonian	NOUN
ap-936	150	18	of	of	ADP
ap-936	150	19	form	form	NOUN
ap-936	150	20	(	(	PUNCT
ap-936	150	21	1	1	NUM
ap-936	150	22	)	)	PUNCT
ap-936	150	23	(	(	PUNCT
ap-936	150	24	see	see	VERB
ap-936	150	25	[	[	X
ap-936	150	26	13	13	NUM
ap-936	150	27	]	]	NUM
ap-936	150	28	)	)	PUNCT
ap-936	150	29	.	.	PUNCT
ap-936	151	1	the	the	DET
ap-936	151	2	price	price	NOUN
ap-936	151	3	paid	pay	VERB
ap-936	151	4	is	be	AUX
ap-936	151	5	that	that	SCONJ
ap-936	151	6	one	one	PRON
ap-936	151	7	must	must	AUX
ap-936	151	8	introduce	introduce	VERB
ap-936	151	9	a	a	DET
ap-936	151	10	two	two	NUM
ap-936	151	11	-	-	PUNCT
ap-936	151	12	component	component	NOUN
ap-936	151	13	formalism	formalism	NOUN
ap-936	151	14	,	,	PUNCT
ap-936	151	15	which	which	PRON
ap-936	151	16	leads	lead	VERB
ap-936	151	17	to	to	ADP
ap-936	151	18	some	some	DET
ap-936	151	19	ambiguities	ambiguity	NOUN
ap-936	151	20	as	as	ADV
ap-936	151	21	long	long	ADV
ap-936	151	22	as	as	SCONJ
ap-936	151	23	the	the	DET
ap-936	151	24	step	step	NOUN
ap-936	151	25	from	from	ADP
ap-936	151	26	one	one	NUM
ap-936	151	27	to	to	ADP
ap-936	151	28	two	two	NUM
ap-936	151	29	components	component	NOUN
ap-936	151	30	is	be	AUX
ap-936	151	31	not	not	PART
ap-936	151	32	unique	unique	ADJ
ap-936	151	33	,	,	PUNCT
ap-936	151	34	and	and	CCONJ
ap-936	151	35	the	the	DET
ap-936	151	36	resulting	result	VERB
ap-936	151	37	hamiltonian	hamiltonian	NOUN
ap-936	151	38	is	be	AUX
ap-936	151	39	non	non	ADJ
ap-936	151	40	-	-	ADJ
ap-936	151	41	hermitian(10	hermitian(10	ADJ
ap-936	151	42	)	)	PUNCT
ap-936	151	43	.	.	PUNCT
ap-936	152	1	since	since	SCONJ
ap-936	152	2	we	we	PRON
ap-936	152	3	are	be	AUX
ap-936	152	4	mainly	mainly	ADV
ap-936	152	5	interested	interested	ADJ
ap-936	152	6	in	in	ADP
ap-936	152	7	the	the	DET
ap-936	152	8	spectrum	spectrum	NOUN
ap-936	152	9	we	we	PRON
ap-936	152	10	will	will	AUX
ap-936	152	11	not	not	PART
ap-936	152	12	follow	follow	VERB
ap-936	152	13	this	this	DET
ap-936	152	14	way	way	NOUN
ap-936	152	15	.	.	PUNCT
ap-936	153	1	after	after	ADP
ap-936	153	2	some	some	DET
ap-936	153	3	manipulations	manipulation	NOUN
ap-936	153	4	with	with	ADP
ap-936	153	5	matching	match	VERB
ap-936	153	6	conditions	condition	NOUN
ap-936	153	7	at	at	ADP
ap-936	153	8	0	0	NUM
ap-936	153	9	and	and	CCONJ
ap-936	153	10	d	d	PROPN
ap-936	153	11	and	and	CCONJ
ap-936	153	12	logarithming	logarithme	VERB
ap-936	153	13	as	as	ADP
ap-936	153	14	in	in	ADP
ap-936	153	15	the	the	DET
ap-936	153	16	dirac	dirac	NOUN
ap-936	153	17	case	case	NOUN
ap-936	153	18	,	,	PUNCT
ap-936	153	19	it	it	PRON
ap-936	153	20	is	be	AUX
ap-936	153	21	easy	easy	ADJ
ap-936	153	22	to	to	PART
ap-936	153	23	obtain	obtain	VERB
ap-936	153	24	the	the	DET
ap-936	153	25	secular	secular	ADJ
ap-936	153	26	equation	equation	NOUN
ap-936	153	27	for	for	ADP
ap-936	153	28	the	the	DET
ap-936	153	29	eigenvalues	eigenvalue	NOUN
ap-936	153	30	,	,	PUNCT
ap-936	153	31	which	which	PRON
ap-936	153	32	reads	read	VERB
ap-936	153	33	arctan	arctan	PROPN
ap-936	153	34	(	(	PUNCT
ap-936	153	35	)	)	PUNCT
ap-936	153	36	(	(	PUNCT
ap-936	153	37	)	)	PUNCT
ap-936	153	38	(	(	PUNCT
ap-936	153	39	)	)	PUNCT
ap-936	153	40	(	(	PUNCT
ap-936	153	41	)	)	PUNCT
ap-936	153	42	(	(	PUNCT
ap-936	153	43	)	)	PUNCT
ap-936	153	44	mod	mod	NOUN
ap-936	153	45	1	1	NUM
ap-936	153	46	1	1	NUM
ap-936	153	47	1	1	NUM
ap-936	153	48	1	1	NUM
ap-936	153	49	2	2	NUM
ap-936	153	50	1	1	NUM
ap-936	153	51	2	2	NUM
ap-936	153	52	2	2	NUM
ap-936	153	53	�	�	PROPN
ap-936	153	54	�	�	PROPN
ap-936	153	55	�	�	PROPN
ap-936	153	56	�	�	PROPN
ap-936	153	57	�	�	PROPN
ap-936	153	58	�	�	PROPN
ap-936	153	59	�	�	PROPN
ap-936	153	60	�	�	PROPN
ap-936	153	61	�	�	PROPN
ap-936	153	62	e	e	PROPN
ap-936	153	63	e	e	X
ap-936	153	64	c	c	X
ap-936	153	65	e	e	X
ap-936	153	66	c	c	NOUN
ap-936	153	67	e	e	X
ap-936	153	68	d	d	X
ap-936	153	69	c	c	X
ap-936	153	70	e	e	X
ap-936	153	71	�	�	PROPN
ap-936	153	72	.	.	PUNCT
ap-936	154	1	(	(	PUNCT
ap-936	154	2	24	24	NUM
ap-936	154	3	)	)	PUNCT
ap-936	154	4	although	although	SCONJ
ap-936	154	5	(	(	PUNCT
ap-936	154	6	24	24	NUM
ap-936	154	7	)	)	PUNCT
ap-936	154	8	resembles	resemble	NOUN
ap-936	154	9	(	(	PUNCT
ap-936	154	10	21	21	NUM
ap-936	154	11	)	)	PUNCT
ap-936	154	12	,	,	PUNCT
ap-936	154	13	the	the	DET
ap-936	154	14	solutions	solution	NOUN
ap-936	154	15	to	to	ADP
ap-936	154	16	it	it	PRON
ap-936	154	17	behave	behave	VERB
ap-936	154	18	differently	differently	ADV
ap-936	154	19	at	at	ADP
ap-936	154	20	larger	large	ADJ
ap-936	154	21	values	value	NOUN
ap-936	154	22	of	of	ADP
ap-936	154	23	c	c	PROPN
ap-936	154	24	and	and	CCONJ
ap-936	154	25	d.	d.	NOUN
ap-936	154	26	in	in	ADP
ap-936	154	27	addition	addition	NOUN
ap-936	154	28	to	to	ADP
ap-936	154	29	levels	level	NOUN
ap-936	154	30	analogous	analogous	ADJ
ap-936	154	31	to	to	ADP
ap-936	154	32	those	those	PRON
ap-936	154	33	of	of	ADP
ap-936	154	34	the	the	DET
ap-936	154	35	dirac	dirac	NOUN
ap-936	154	36	hamiltonian	hamiltonian	NOUN
ap-936	154	37	,	,	PUNCT
ap-936	154	38	there	there	PRON
ap-936	154	39	is	be	VERB
ap-936	154	40	a	a	DET
ap-936	154	41	second	second	ADJ
ap-936	154	42	set	set	NOUN
ap-936	154	43	of	of	ADP
ap-936	154	44	energies	energy	NOUN
ap-936	154	45	emerging	emerge	VERB
ap-936	154	46	from	from	ADP
ap-936	154	47	the	the	DET
ap-936	154	48	lower	low	ADJ
ap-936	154	49	continuum	continuum	NOUN
ap-936	154	50	with	with	ADP
ap-936	154	51	increasing	increase	VERB
ap-936	154	52	c	c	PROPN
ap-936	154	53	or	or	CCONJ
ap-936	154	54	d	d	PROPN
ap-936	154	55	that	that	PRON
ap-936	154	56	merge	merge	VERB
ap-936	154	57	with	with	ADP
ap-936	154	58	the	the	DET
ap-936	154	59	former	former	ADJ
ap-936	154	60	in	in	ADP
ap-936	154	61	a	a	DET
ap-936	154	62	traditionally	traditionally	ADV
ap-936	154	63	shaped	shape	VERB
ap-936	154	64	exceptional	exceptional	ADJ
ap-936	154	65	point	point	NOUN
ap-936	154	66	(	(	PUNCT
ap-936	154	67	fig	fig	NOUN
ap-936	154	68	.	.	PUNCT
ap-936	155	1	3	3	NUM
ap-936	155	2	)	)	PUNCT
ap-936	155	3	.	.	PUNCT
ap-936	156	1	this	this	DET
ap-936	156	2	effect	effect	NOUN
ap-936	156	3	is	be	AUX
ap-936	156	4	enabled	enable	VERB
ap-936	156	5	by	by	ADP
ap-936	156	6	the	the	DET
ap-936	156	7	non	non	ADJ
ap-936	156	8	-	-	ADJ
ap-936	156	9	self	self	NOUN
ap-936	156	10	-	-	PUNCT
ap-936	156	11	adjointness	adjointness	NOUN
ap-936	156	12	of	of	ADP
ap-936	156	13	the	the	DET
ap-936	156	14	hamiltonian	hamiltonian	NOUN
ap-936	156	15	,	,	PUNCT
ap-936	156	16	in	in	ADP
ap-936	156	17	contrast	contrast	NOUN
ap-936	156	18	with	with	ADP
ap-936	156	19	the	the	DET
ap-936	156	20	dirac	dirac	NOUN
ap-936	156	21	problem	problem	NOUN
ap-936	156	22	.	.	PUNCT
ap-936	157	1	3.3	3.3	NUM
ap-936	157	2	relativistic	relativistic	ADJ
ap-936	157	3	coulomb	coulomb	NOUN
ap-936	157	4	hamiltonian	hamiltonian	NOUN
ap-936	157	5	the	the	DET
ap-936	157	6	last	last	ADJ
ap-936	157	7	example	example	NOUN
ap-936	157	8	is	be	AUX
ap-936	157	9	intended	intend	VERB
ap-936	157	10	to	to	PART
ap-936	157	11	show	show	VERB
ap-936	157	12	that	that	SCONJ
ap-936	157	13	also	also	ADV
ap-936	157	14	the	the	DET
ap-936	157	15	dirac	dirac	NOUN
ap-936	157	16	equation	equation	NOUN
ap-936	157	17	can	can	AUX
ap-936	157	18	lead	lead	VERB
ap-936	157	19	to	to	ADP
ap-936	157	20	complex	complex	ADJ
ap-936	157	21	energies	energy	NOUN
ap-936	157	22	.	.	PUNCT
ap-936	158	1	it	it	PRON
ap-936	158	2	is	be	AUX
ap-936	158	3	the	the	DET
ap-936	158	4	well	well	ADV
ap-936	158	5	-	-	PUNCT
ap-936	158	6	known	know	VERB
ap-936	158	7	radial	radial	ADJ
ap-936	158	8	coulomb	coulomb	NOUN
ap-936	158	9	hamiltonian	hamiltonian	PROPN
ap-936	158	10	h	h	PROPN
ap-936	158	11	�	�	PROPN
ap-936	158	12	�	�	PROPN
ap-936	158	13	�	�	PROPN
ap-936	158	14	�	�	PROPN
ap-936	158	15	�	�	PROPN
ap-936	158	16	�	�	PROPN
ap-936	158	17	�	�	PROPN
ap-936	158	18	�	�	PROPN
ap-936	158	19	�	�	PROPN
ap-936	158	20	�	�	PROPN
ap-936	158	21	�	�	PROPN
ap-936	158	22	�	�	PROPN
ap-936	158	23	�	�	PROPN
ap-936	158	24	�	�	PROPN
ap-936	158	25	�	�	PROPN
ap-936	158	26	�	�	PROPN
ap-936	158	27	�	�	PROPN
ap-936	158	28	�	�	PROPN
ap-936	158	29	c	c	PROPN
ap-936	158	30	r	r	NOUN
ap-936	158	31	m	m	VERB
ap-936	158	32	r	r	NOUN
ap-936	158	33	r	r	NOUN
ap-936	158	34	c	c	NOUN
ap-936	158	35	r	r	NOUN
ap-936	158	36	m	m	NOUN
ap-936	158	37	r	r	NOUN
ap-936	158	38	r	r	NOUN
ap-936	158	39	�	�	PROPN
ap-936	158	40	�	�	PROPN
ap-936	158	41	�	�	PROPN
ap-936	158	42	�	�	PROPN
ap-936	158	43	,	,	PUNCT
ap-936	158	44	(	(	PUNCT
ap-936	158	45	25	25	NUM
ap-936	158	46	)	)	PUNCT
ap-936	158	47	where	where	SCONJ
ap-936	158	48	�	�	PROPN
ap-936	158	49	�	�	PROPN
ap-936	158	50	�	�	PROPN
ap-936	158	51	1	1	NUM
ap-936	158	52	2	2	NUM
ap-936	158	53	3	3	NUM
ap-936	158	54	,	,	PUNCT
ap-936	158	55	,	,	PUNCT
ap-936	158	56	,	,	PUNCT
ap-936	158	57	�	�	PROPN
ap-936	158	58	characterises	characterise	VERB
ap-936	158	59	the	the	DET
ap-936	158	60	angular	angular	ADJ
ap-936	158	61	momentum	momentum	NOUN
ap-936	158	62	and	and	CCONJ
ap-936	158	63	m	m	NOUN
ap-936	158	64	is	be	AUX
ap-936	158	65	the	the	DET
ap-936	158	66	mass	mass	NOUN
ap-936	158	67	,	,	PUNCT
ap-936	158	68	once	once	ADV
ap-936	158	69	more	more	ADJ
ap-936	158	70	without	without	ADP
ap-936	158	71	loss	loss	NOUN
ap-936	158	72	of	of	ADP
ap-936	158	73	generality	generality	NOUN
ap-936	158	74	set	set	VERB
ap-936	158	75	to	to	ADP
ap-936	158	76	one	one	NUM
ap-936	158	77	in	in	ADP
ap-936	158	78	what	what	PRON
ap-936	158	79	follows	follow	VERB
ap-936	158	80	.	.	PUNCT
ap-936	159	1	we	we	PRON
ap-936	159	2	will	will	AUX
ap-936	159	3	not	not	PART
ap-936	159	4	discuss	discuss	VERB
ap-936	159	5	the	the	DET
ap-936	159	6	algorithm	algorithm	NOUN
ap-936	159	7	of	of	ADP
ap-936	159	8	the	the	DET
ap-936	159	9	solution	solution	NOUN
ap-936	159	10	since	since	SCONJ
ap-936	159	11	the	the	DET
ap-936	159	12	reader	reader	NOUN
ap-936	159	13	is	be	AUX
ap-936	159	14	assumed	assume	VERB
ap-936	159	15	to	to	PART
ap-936	159	16	know	know	VERB
ap-936	159	17	it	it	PRON
ap-936	159	18	,	,	PUNCT
ap-936	159	19	and	and	CCONJ
ap-936	159	20	instead	instead	ADV
ap-936	159	21	we	we	PRON
ap-936	159	22	write	write	VERB
ap-936	159	23	down	down	ADP
ap-936	159	24	the	the	DET
ap-936	159	25	resulting	result	VERB
ap-936	159	26	formula	formula	NOUN
ap-936	159	27	e	e	PROPN
ap-936	159	28	c	c	PROPN
ap-936	159	29	nn	nn	PROPN
ap-936	159	30	�	�	PROPN
ap-936	159	31	�	�	PROPN
ap-936	159	32	�	�	PROPN
ap-936	159	33	�	�	PROPN
ap-936	159	34	�	�	PROPN
ap-936	159	35	�	�	PROPN
ap-936	159	36	�	�	PROPN
ap-936	159	37	�	�	PROPN
ap-936	159	38	�	�	PROPN
ap-936	159	39	�	�	PROPN
ap-936	159	40	�	�	PROPN
ap-936	159	41	�	�	PROPN
ap-936	159	42	�	�	PROPN
ap-936	159	43	1	1	NUM
ap-936	159	44	1	1	NUM
ap-936	159	45	2	2	NUM
ap-936	159	46	�	�	NOUN
ap-936	159	47	,	,	PUNCT
ap-936	159	48	(	(	PUNCT
ap-936	159	49	26	26	NUM
ap-936	159	50	)	)	PUNCT
ap-936	159	51	�	�	PROPN
ap-936	159	52	�	�	PROPN
ap-936	159	53	�	�	PROPN
ap-936	159	54	2	2	NUM
ap-936	159	55	2c	2c	NOUN
ap-936	159	56	.	.	PUNCT
ap-936	160	1	(	(	PUNCT
ap-936	160	2	27	27	NUM
ap-936	160	3	)	)	PUNCT
ap-936	160	4	obviously	obviously	ADV
ap-936	160	5	c	c	X
ap-936	160	6	>	>	X
ap-936	160	7	�	�	PROPN
ap-936	160	8	leads	lead	VERB
ap-936	160	9	to	to	ADP
ap-936	160	10	complex	complex	ADJ
ap-936	160	11	values	value	NOUN
ap-936	160	12	of	of	ADP
ap-936	160	13	en	en	X
ap-936	160	14	and	and	CCONJ
ap-936	160	15	all	all	DET
ap-936	160	16	the	the	DET
ap-936	160	17	levels	level	NOUN
ap-936	160	18	with	with	ADP
ap-936	160	19	the	the	DET
ap-936	160	20	same	same	ADJ
ap-936	160	21	�	�	PROPN
ap-936	160	22	complexify	complexify	VERB
ap-936	160	23	simultaneously	simultaneously	ADV
ap-936	160	24	.	.	PUNCT
ap-936	161	1	the	the	DET
ap-936	161	2	energy	energy	NOUN
ap-936	161	3	dependence	dependence	NOUN
ap-936	161	4	is	be	AUX
ap-936	161	5	clearly	clearly	ADV
ap-936	161	6	of	of	ADP
ap-936	161	7	square	square	ADJ
ap-936	161	8	-	-	PUNCT
ap-936	161	9	root	root	NOUN
ap-936	161	10	type	type	NOUN
ap-936	161	11	,	,	PUNCT
ap-936	161	12	however	however	ADV
ap-936	161	13	only	only	ADV
ap-936	161	14	one	one	NUM
ap-936	161	15	real	real	ADJ
ap-936	161	16	eigenvalue	eigenvalue	NOUN
ap-936	161	17	exists	exist	VERB
ap-936	161	18	at	at	ADP
ap-936	161	19	c	c	PROPN
ap-936	161	20	c	c	PROPN
ap-936	161	21	�	�	PROPN
ap-936	161	22	ep	ep	PROPN
ap-936	161	23	for	for	ADP
ap-936	161	24	each	each	DET
ap-936	161	25	complex	complex	ADJ
ap-936	161	26	pair	pair	NOUN
ap-936	161	27	at	at	ADP
ap-936	161	28	c	c	PROPN
ap-936	161	29	c	c	PROPN
ap-936	161	30	�	�	PROPN
ap-936	161	31	ep	ep	PROPN
ap-936	161	32	.	.	PUNCT
ap-936	162	1	to	to	PART
ap-936	162	2	see	see	VERB
ap-936	162	3	how	how	SCONJ
ap-936	162	4	this	this	PRON
ap-936	162	5	is	be	AUX
ap-936	162	6	possible	possible	ADJ
ap-936	162	7	for	for	ADP
ap-936	162	8	the	the	DET
ap-936	162	9	symmetric	symmetric	ADJ
ap-936	162	10	hamiltonian	hamiltonian	NOUN
ap-936	162	11	(	(	PUNCT
ap-936	162	12	25	25	NUM
ap-936	162	13	)	)	PUNCT
ap-936	162	14	one	one	PRON
ap-936	162	15	needs	need	VERB
ap-936	162	16	to	to	PART
ap-936	162	17	examine	examine	VERB
ap-936	162	18	it	it	PRON
ap-936	162	19	more	more	ADV
ap-936	162	20	closely	closely	ADV
ap-936	162	21	.	.	PUNCT
ap-936	163	1	we	we	PRON
ap-936	163	2	can	can	AUX
ap-936	163	3	restrict	restrict	VERB
ap-936	163	4	ourselves	ourselves	PRON
ap-936	163	5	to	to	ADP
ap-936	163	6	s	s	NOUN
ap-936	163	7	-	-	PUNCT
ap-936	163	8	states	state	NOUN
ap-936	163	9	(	(	PUNCT
ap-936	163	10	�	�	PROPN
ap-936	163	11	�	�	PROPN
ap-936	163	12	1	1	NUM
ap-936	163	13	)	)	PUNCT
ap-936	163	14	because	because	SCONJ
ap-936	163	15	these	these	PRON
ap-936	163	16	complexify	complexify	VERB
ap-936	163	17	first	first	ADV
ap-936	163	18	and	and	CCONJ
ap-936	163	19	there	there	PRON
ap-936	163	20	is	be	VERB
ap-936	163	21	no	no	DET
ap-936	163	22	qualitative	qualitative	ADJ
ap-936	163	23	difference	difference	NOUN
ap-936	163	24	for	for	ADP
ap-936	163	25	higher	high	ADJ
ap-936	163	26	�	�	PROPN
ap-936	163	27	.	.	PUNCT
ap-936	164	1	the	the	DET
ap-936	164	2	hamiltonian	hamiltonian	NOUN
ap-936	164	3	’s	’s	PART
ap-936	164	4	domain	domain	NOUN
ap-936	164	5	of	of	ADP
ap-936	164	6	definition	definition	NOUN
ap-936	164	7	trivially	trivially	ADV
ap-936	164	8	must	must	AUX
ap-936	164	9	be	be	AUX
ap-936	164	10	a	a	DET
ap-936	164	11	subset	subset	NOUN
ap-936	164	12	of	of	ADP
ap-936	164	13	�	�	PROPN
ap-936	164	14	�	�	PROPN
ap-936	164	15	d	d	PROPN
ap-936	164	16	l	l	NOUN
ap-936	164	17	l	l	NOUN
ap-936	164	18	l	l	X
ap-936	164	19	l	l	X
ap-936	164	20	�	�	PROPN
ap-936	164	21	�	�	PROPN
ap-936	164	22	�	�	PROPN
ap-936	164	23	�	�	PROPN
ap-936	164	24	�	�	PROPN
ap-936	164	25	�	�	PROPN
ap-936	164	26	�	�	PROPN
ap-936	164	27	�	�	PROPN
ap-936	164	28	�	�	PROPN
ap-936	164	29	2	2	NUM
ap-936	164	30	2	2	NUM
ap-936	164	31	2	2	NUM
ap-936	164	32	2	2	NUM
ap-936	164	33	(	(	PUNCT
ap-936	164	34	)	)	PUNCT
ap-936	164	35	(	(	PUNCT
ap-936	164	36	)	)	PUNCT
ap-936	164	37	(	(	PUNCT
ap-936	164	38	)	)	PUNCT
ap-936	164	39	(	(	PUNCT
ap-936	164	40	)	)	PUNCT
ap-936	164	41	�	�	PROPN
ap-936	164	42	�	�	PROPN
ap-936	164	43	�	�	PROPN
ap-936	164	44	�	�	PROPN
ap-936	164	45	h	h	PROPN
ap-936	164	46	,	,	PUNCT
ap-936	164	47	(	(	PUNCT
ap-936	164	48	28	28	NUM
ap-936	164	49	)	)	PUNCT
ap-936	164	50	(	(	PUNCT
ap-936	164	51	the	the	DET
ap-936	164	52	existence	existence	NOUN
ap-936	164	53	of	of	ADP
ap-936	164	54	h	h	PROPN
ap-936	164	55	�	�	PROPN
ap-936	164	56	for	for	ADP
ap-936	164	57	all	all	PRON
ap-936	164	58	�	�	PROPN
ap-936	165	1	d	d	NOUN
ap-936	165	2	is	be	AUX
ap-936	165	3	understood	understand	VERB
ap-936	165	4	)	)	PUNCT
ap-936	165	5	.	.	PUNCT
ap-936	166	1	if	if	SCONJ
ap-936	166	2	one	one	PRON
ap-936	166	3	has	have	VERB
ap-936	166	4	to	to	PART
ap-936	166	5	establish	establish	VERB
ap-936	166	6	the	the	DET
ap-936	166	7	self	self	NOUN
ap-936	166	8	-	-	PUNCT
ap-936	166	9	adjointness	adjointness	NOUN
ap-936	166	10	of	of	ADP
ap-936	166	11	h	h	PROPN
ap-936	166	12	one	one	NOUN
ap-936	166	13	has	have	VERB
ap-936	166	14	first	first	ADV
ap-936	166	15	to	to	PART
ap-936	166	16	apply	apply	VERB
ap-936	166	17	per	per	ADP
ap-936	166	18	partes	parte	NOUN
ap-936	166	19	integration	integration	NOUN
ap-936	166	20	on	on	ADP
ap-936	166	21	the	the	DET
ap-936	166	22	integrals	integral	NOUN
ap-936	166	23	of	of	ADP
ap-936	166	24	wave	wave	NOUN
ap-936	166	25	function	function	NOUN
ap-936	166	26	products	product	NOUN
ap-936	166	27	and	and	CCONJ
ap-936	166	28	demand	demand	NOUN
ap-936	166	29	vanishing	vanishing	NOUN
ap-936	166	30	of	of	ADP
ap-936	166	31	boundary	boundary	ADJ
ap-936	166	32	terms	term	NOUN
ap-936	166	33	.	.	PUNCT
ap-936	167	1	the	the	DET
ap-936	167	2	boundary	boundary	ADJ
ap-936	167	3	at	at	ADP
ap-936	167	4	r	r	PROPN
ap-936	167	5	�	�	PROPN
ap-936	167	6	�	�	PROPN
ap-936	167	7	causes	cause	VERB
ap-936	167	8	no	no	DET
ap-936	167	9	complications	complication	NOUN
ap-936	167	10	because	because	SCONJ
ap-936	167	11	�	�	PROPN
ap-936	167	12	(	(	PUNCT
ap-936	167	13	)	)	PUNCT
ap-936	167	14	r	r	NOUN
ap-936	167	15	0	0	NUM
ap-936	167	16	for	for	ADP
ap-936	167	17	r	r	PROPN
ap-936	167	18	�	�	PROPN
ap-936	167	19	trivially	trivially	ADV
ap-936	167	20	due	due	ADP
ap-936	167	21	to	to	ADP
ap-936	167	22	the	the	DET
ap-936	167	23	square	square	ADJ
ap-936	167	24	integrability	integrability	NOUN
ap-936	167	25	.	.	PUNCT
ap-936	168	1	one	one	PRON
ap-936	168	2	must	must	AUX
ap-936	168	3	be	be	AUX
ap-936	168	4	more	more	ADV
ap-936	168	5	careful	careful	ADJ
ap-936	168	6	at	at	ADP
ap-936	168	7	r	r	NOUN
ap-936	168	8	0	0	NUM
ap-936	168	9	.	.	PUNCT
ap-936	169	1	the	the	DET
ap-936	169	2	square	square	ADJ
ap-936	169	3	integrability	integrability	NOUN
ap-936	169	4	of	of	ADP
ap-936	169	5	�	�	PROPN
ap-936	169	6	itself	itself	PRON
ap-936	169	7	clearly	clearly	ADV
ap-936	169	8	does	do	AUX
ap-936	169	9	not	not	PART
ap-936	169	10	forbid	forbid	VERB
ap-936	169	11	non	non	ADJ
ap-936	169	12	-	-	ADJ
ap-936	169	13	zero	zero	NUM
ap-936	169	14	values	value	NOUN
ap-936	169	15	at	at	ADP
ap-936	169	16	origin	origin	NOUN
ap-936	169	17	,	,	PUNCT
ap-936	169	18	however	however	ADV
ap-936	169	19	square	square	ADJ
ap-936	169	20	integrability	integrability	NOUN
ap-936	169	21	of	of	ADP
ap-936	169	22	h	h	PRON
ap-936	169	23	�	�	PROPN
ap-936	169	24	can	can	AUX
ap-936	169	25	do	do	VERB
ap-936	169	26	better	well	ADV
ap-936	169	27	.	.	PUNCT
ap-936	170	1	to	to	PART
ap-936	170	2	see	see	VERB
ap-936	170	3	whether	whether	SCONJ
ap-936	170	4	there	there	PRON
ap-936	170	5	are	be	VERB
ap-936	170	6	functions	function	NOUN
ap-936	170	7	from	from	ADP
ap-936	170	8	d	d	PROPN
ap-936	170	9	with	with	ADP
ap-936	170	10	non	non	ADJ
ap-936	170	11	-	-	ADJ
ap-936	170	12	zero	zero	NUM
ap-936	170	13	limit	limit	NOUN
ap-936	170	14	at	at	ADP
ap-936	170	15	r	r	PROPN
ap-936	170	16	�	�	PROPN
ap-936	170	17	0	0	NUM
ap-936	170	18	one	one	PRON
ap-936	170	19	may	may	AUX
ap-936	170	20	check	check	VERB
ap-936	170	21	the	the	DET
ap-936	170	22	asymptotics	asymptotic	NOUN
ap-936	170	23	of	of	ADP
ap-936	170	24	h	h	PROPN
ap-936	170	25	�	�	PROPN
ap-936	170	26	;	;	PUNCT
ap-936	170	27	around	around	ADP
ap-936	170	28	zero	zero	NUM
ap-936	170	29	one	one	NUM
ap-936	170	30	can	can	AUX
ap-936	170	31	disregard	disregard	VERB
ap-936	170	32	the	the	DET
ap-936	170	33	mass	mass	ADJ
ap-936	170	34	-	-	PUNCT
ap-936	170	35	proportional	proportional	ADJ
ap-936	170	36	terms	term	NOUN
ap-936	170	37	,	,	PUNCT
ap-936	170	38	and	and	CCONJ
ap-936	170	39	one	one	NUM
ap-936	170	40	has	have	VERB
ap-936	170	41	h	h	PROPN
ap-936	170	42	�	�	PROPN
ap-936	170	43	�	�	PROPN
ap-936	170	44	�	�	PROPN
ap-936	170	45	�	�	PROPN
ap-936	170	46	�	�	PROPN
ap-936	170	47	�	�	PROPN
ap-936	170	48	�	�	PROPN
ap-936	170	49	�	�	PROPN
ap-936	170	50	1	1	NUM
ap-936	170	51	2	2	NUM
ap-936	170	52	1	1	NUM
ap-936	170	53	1	1	NUM
ap-936	170	54	1	1	NUM
ap-936	170	55	2	2	NUM
ap-936	170	56	2	2	NUM
ap-936	170	57	1	1	NUM
ap-936	170	58	1	1	NUM
ap-936	170	59	1	1	NUM
ap-936	170	60	1	1	NUM
ap-936	170	61	2	2	NUM
ap-936	170	62	�	�	PROPN
ap-936	170	63	�	�	PROPN
ap-936	170	64	�	�	PROPN
ap-936	170	65	�	�	PROPN
ap-936	170	66	�	�	PROPN
ap-936	170	67	�	�	PROPN
ap-936	170	68	�	�	PROPN
ap-936	170	69	�	�	PROPN
ap-936	170	70	�	�	PROPN
ap-936	170	71	�	�	PROPN
ap-936	170	72	�	�	PROPN
ap-936	170	73	�	�	PROPN
ap-936	170	74	�	�	PROPN
ap-936	170	75	�	�	PROPN
ap-936	170	76	�	�	PROPN
ap-936	170	77	�	�	PROPN
ap-936	170	78	�	�	PROPN
ap-936	170	79	�	�	PROPN
ap-936	170	80	�	�	PROPN
ap-936	170	81	�	�	PROPN
ap-936	170	82	�	�	PROPN
ap-936	170	83	�	�	PROPN
ap-936	170	84	�	�	PROPN
ap-936	170	85	cr	cr	ADP
ap-936	170	86	r	r	NOUN
ap-936	170	87	r	r	PROPN
ap-936	170	88	cr	cr	PROPN
ap-936	170	89	�	�	PROPN
ap-936	170	90	�	�	PROPN
ap-936	170	91	�	�	PROPN
ap-936	170	92	.	.	PUNCT
ap-936	171	1	(	(	PUNCT
ap-936	171	2	29	29	NUM
ap-936	171	3	)	)	PUNCT
ap-936	171	4	54	54	NUM
ap-936	172	1	©	©	PROPN
ap-936	172	2	czech	czech	PROPN
ap-936	172	3	technical	technical	PROPN
ap-936	172	4	university	university	PROPN
ap-936	172	5	publishing	publishing	NOUN
ap-936	172	6	house	house	NOUN
ap-936	172	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-936	172	8	acta	acta	PROPN
ap-936	172	9	polytechnica	polytechnica	PROPN
ap-936	172	10	vol	vol	NOUN
ap-936	172	11	.	.	PUNCT
ap-936	173	1	47	47	NUM
ap-936	173	2	no	no	NOUN
ap-936	173	3	.	.	PUNCT
ap-936	174	1	2–3/2007	2–3/2007	NUM
ap-936	174	2	fig	fig	NOUN
ap-936	174	3	.	.	PUNCT
ap-936	175	1	3	3	NUM
ap-936	175	2	:	:	PUNCT
ap-936	176	1	the	the	DET
ap-936	176	2	lowest	low	ADJ
ap-936	176	3	energy	energy	NOUN
ap-936	176	4	level	level	NOUN
ap-936	176	5	plotted	plot	VERB
ap-936	176	6	against	against	ADP
ap-936	176	7	depth	depth	NOUN
ap-936	176	8	c	c	NOUN
ap-936	176	9	with	with	ADP
ap-936	176	10	fixed	fix	VERB
ap-936	176	11	width	width	NOUN
ap-936	176	12	d	d	PROPN
ap-936	176	13	�	�	PROPN
ap-936	176	14	15	15	NUM
ap-936	176	15	.	.	PUNCT
ap-936	176	16	for	for	ADP
ap-936	176	17	relativistic	relativistic	ADJ
ap-936	176	18	square	square	ADJ
ap-936	176	19	wells	well	NOUN
ap-936	176	20	.	.	PUNCT
ap-936	177	1	the	the	DET
ap-936	177	2	spin-1/2	spin-1/2	PROPN
ap-936	177	3	case	case	NOUN
ap-936	177	4	on	on	ADP
ap-936	177	5	the	the	DET
ap-936	177	6	left	left	ADJ
ap-936	177	7	hand	hand	NOUN
ap-936	177	8	side	side	NOUN
ap-936	177	9	does	do	AUX
ap-936	177	10	not	not	PART
ap-936	177	11	complexify	complexify	VERB
ap-936	177	12	while	while	SCONJ
ap-936	177	13	the	the	DET
ap-936	177	14	spinless	spinless	ADJ
ap-936	177	15	case	case	NOUN
ap-936	177	16	on	on	ADP
ap-936	177	17	the	the	DET
ap-936	177	18	right	right	ADJ
ap-936	177	19	hand	hand	NOUN
ap-936	177	20	side	side	NOUN
ap-936	177	21	does	do	VERB
ap-936	177	22	;	;	PUNCT
ap-936	177	23	in	in	ADP
ap-936	177	24	the	the	DET
ap-936	177	25	latter	latter	ADJ
ap-936	177	26	graph	graph	NOUN
ap-936	177	27	the	the	DET
ap-936	177	28	two	two	NUM
ap-936	177	29	levels	level	NOUN
ap-936	177	30	that	that	PRON
ap-936	177	31	merge	merge	VERB
ap-936	177	32	in	in	ADP
ap-936	177	33	the	the	DET
ap-936	177	34	ep	ep	PROPN
ap-936	177	35	are	be	AUX
ap-936	177	36	shown	show	VERB
ap-936	177	37	.	.	PUNCT
ap-936	178	1	fig	fig	NOUN
ap-936	178	2	.	.	PUNCT
ap-936	179	1	4	4	NUM
ap-936	179	2	:	:	SYM
ap-936	179	3	six	six	NUM
ap-936	179	4	lowest	low	ADJ
ap-936	179	5	real	real	ADJ
ap-936	179	6	energies	energy	NOUN
ap-936	179	7	of	of	ADP
ap-936	179	8	the	the	DET
ap-936	179	9	dirac	dirac	NOUN
ap-936	179	10	hamiltonian	hamiltonian	NOUN
ap-936	179	11	with	with	ADP
ap-936	179	12	coulomb	coulomb	NOUN
ap-936	179	13	potential	potential	NOUN
ap-936	179	14	.	.	PUNCT
ap-936	180	1	the	the	DET
ap-936	180	2	line	line	NOUN
ap-936	180	3	styles	style	NOUN
ap-936	180	4	distinguish	distinguish	VERB
ap-936	180	5	between	between	ADP
ap-936	180	6	different	different	ADJ
ap-936	180	7	values	value	NOUN
ap-936	180	8	of	of	ADP
ap-936	180	9	�	�	PROPN
ap-936	180	10	.	.	PUNCT
ap-936	181	1	this	this	DET
ap-936	181	2	two	two	NUM
ap-936	181	3	-	-	PUNCT
ap-936	181	4	component	component	NOUN
ap-936	181	5	function	function	NOUN
ap-936	181	6	can	can	AUX
ap-936	181	7	be	be	AUX
ap-936	181	8	square	square	ADV
ap-936	181	9	-	-	PUNCT
ap-936	181	10	integrable	integrable	ADJ
ap-936	181	11	1	1	NUM
ap-936	181	12	.	.	PUNCT
ap-936	182	1	either	either	CCONJ
ap-936	182	2	if	if	SCONJ
ap-936	182	3	�	�	PROPN
ap-936	182	4	�	�	PROPN
ap-936	182	5	�	�	PROPN
ap-936	182	6	r	r	PROPN
ap-936	182	7	with	with	ADP
ap-936	182	8	�	�	PROPN
ap-936	182	9	�	�	PROPN
ap-936	182	10	1	1	NUM
ap-936	182	11	2	2	NUM
ap-936	182	12	(	(	PUNCT
ap-936	182	13	and	and	CCONJ
ap-936	182	14	thus	thus	ADV
ap-936	182	15	�	�	PROPN
ap-936	182	16	(	(	PUNCT
ap-936	182	17	)	)	PUNCT
ap-936	182	18	0	0	SYM
ap-936	182	19	0	0	NUM
ap-936	182	20	�	�	PROPN
ap-936	182	21	)	)	PUNCT
ap-936	182	22	,	,	PUNCT
ap-936	182	23	because	because	SCONJ
ap-936	182	24	then	then	ADV
ap-936	182	25	both	both	PRON
ap-936	182	26	�	�	PROPN
ap-936	182	27	�	�	PROPN
ap-936	182	28	and	and	CCONJ
ap-936	182	29	�	�	PROPN
ap-936	182	30	r	r	NOUN
ap-936	182	31	are	be	AUX
ap-936	182	32	proportional	proportional	ADJ
ap-936	182	33	to	to	AUX
ap-936	182	34	r	r	VERB
ap-936	182	35	�	�	NOUN
ap-936	182	36	�	�	NOUN
ap-936	182	37	1	1	NUM
ap-936	182	38	and	and	CCONJ
ap-936	182	39	therefore	therefore	ADV
ap-936	182	40	square	square	NOUN
ap-936	182	41	integrable	integrable	ADJ
ap-936	182	42	2	2	NUM
ap-936	182	43	.	.	PUNCT
ap-936	183	1	or	or	CCONJ
ap-936	183	2	if	if	SCONJ
ap-936	183	3	the	the	DET
ap-936	183	4	whole	whole	ADJ
ap-936	183	5	expression	expression	NOUN
ap-936	183	6	(	(	PUNCT
ap-936	183	7	29	29	NUM
ap-936	183	8	)	)	PUNCT
ap-936	183	9	vanishes	vanish	VERB
ap-936	183	10	.	.	PUNCT
ap-936	184	1	the	the	DET
ap-936	184	2	second	second	ADJ
ap-936	184	3	case	case	NOUN
ap-936	184	4	leads	lead	VERB
ap-936	184	5	to	to	ADP
ap-936	184	6	the	the	DET
ap-936	184	7	differential	differential	ADJ
ap-936	184	8	equation	equation	NOUN
ap-936	184	9	for	for	ADP
ap-936	184	10	asymptotical	asymptotical	ADJ
ap-936	184	11	behaviour	behaviour	NOUN
ap-936	184	12	of	of	ADP
ap-936	184	13	�	�	PROPN
ap-936	184	14	near	near	ADP
ap-936	184	15	the	the	DET
ap-936	184	16	origin	origin	NOUN
ap-936	184	17	,	,	PUNCT
ap-936	184	18	and	and	CCONJ
ap-936	184	19	the	the	DET
ap-936	184	20	solution	solution	NOUN
ap-936	184	21	to	to	ADP
ap-936	184	22	it	it	PRON
ap-936	184	23	is	be	AUX
ap-936	184	24	�	�	PROPN
ap-936	184	25	�	�	PROPN
ap-936	184	26	�	�	PROPN
ap-936	184	27	r	r	NOUN
ap-936	184	28	(	(	PUNCT
ap-936	184	29	30	30	NUM
ap-936	184	30	)	)	PUNCT
ap-936	184	31	with	with	ADP
ap-936	184	32	the	the	DET
ap-936	184	33	same	same	ADJ
ap-936	184	34	�	�	PROPN
ap-936	184	35	0	0	PUNCT
ap-936	184	36	as	as	ADP
ap-936	184	37	in	in	ADP
ap-936	184	38	(	(	PUNCT
ap-936	184	39	27	27	NUM
ap-936	184	40	)	)	PUNCT
ap-936	184	41	–	–	PUNCT
ap-936	184	42	�	�	PROPN
ap-936	184	43	still	still	ADV
ap-936	184	44	being	be	AUX
ap-936	184	45	equal	equal	ADJ
ap-936	184	46	to	to	ADP
ap-936	184	47	1	1	NUM
ap-936	184	48	.	.	PUNCT
ap-936	185	1	the	the	DET
ap-936	185	2	solution	solution	NOUN
ap-936	185	3	proportional	proportional	ADJ
ap-936	185	4	to	to	ADP
ap-936	185	5	r	r	VERB
ap-936	185	6	�	�	PROPN
ap-936	185	7	is	be	AUX
ap-936	185	8	not	not	PART
ap-936	185	9	interesting	interesting	ADJ
ap-936	185	10	for	for	ADP
ap-936	185	11	being	be	AUX
ap-936	185	12	zero	zero	NUM
ap-936	185	13	at	at	ADP
ap-936	185	14	r	r	PROPN
ap-936	185	15	�	�	PROPN
ap-936	185	16	0	0	PUNCT
ap-936	185	17	but	but	CCONJ
ap-936	185	18	the	the	DET
ap-936	185	19	solution	solution	NOUN
ap-936	185	20	r	r	NOUN
ap-936	185	21	�	�	PROPN
ap-936	185	22	diverges	diverge	VERB
ap-936	185	23	.	.	PUNCT
ap-936	186	1	for	for	ADP
ap-936	186	2	�	�	PROPN
ap-936	186	3	1	1	NUM
ap-936	186	4	2	2	NUM
ap-936	186	5	it	it	PRON
ap-936	186	6	is	be	AUX
ap-936	186	7	not	not	PART
ap-936	186	8	square	square	ADJ
ap-936	186	9	integrable	integrable	ADJ
ap-936	186	10	and	and	CCONJ
ap-936	186	11	can	can	AUX
ap-936	186	12	thus	thus	ADV
ap-936	186	13	be	be	AUX
ap-936	186	14	ruled	rule	VERB
ap-936	186	15	out	out	ADP
ap-936	186	16	,	,	PUNCT
ap-936	186	17	but	but	CCONJ
ap-936	186	18	if	if	SCONJ
ap-936	186	19	�	�	PROPN
ap-936	186	20	1	1	NUM
ap-936	186	21	2	2	NUM
ap-936	186	22	(	(	PUNCT
ap-936	186	23	it	it	PRON
ap-936	186	24	is	be	AUX
ap-936	186	25	c	c	NOUN
ap-936	186	26	�	�	PROPN
ap-936	186	27	3	3	NUM
ap-936	186	28	2	2	NUM
ap-936	186	29	)	)	PUNCT
ap-936	186	30	this	this	DET
ap-936	186	31	solution	solution	NOUN
ap-936	186	32	lies	lie	VERB
ap-936	186	33	in	in	ADP
ap-936	186	34	d.	d.	PROPN
ap-936	186	35	in	in	ADP
ap-936	186	36	other	other	ADJ
ap-936	186	37	words	word	NOUN
ap-936	186	38	,	,	PUNCT
ap-936	186	39	in	in	ADP
ap-936	186	40	this	this	DET
ap-936	186	41	case	case	NOUN
ap-936	186	42	there	there	PRON
ap-936	186	43	are	be	VERB
ap-936	186	44	functions	function	NOUN
ap-936	186	45	from	from	ADP
ap-936	186	46	d	d	PRON
ap-936	186	47	which	which	PRON
ap-936	186	48	do	do	AUX
ap-936	186	49	not	not	PART
ap-936	186	50	vanish	vanish	VERB
ap-936	186	51	at	at	ADP
ap-936	186	52	r	r	PROPN
ap-936	186	53	�	�	PROPN
ap-936	186	54	0	0	PUNCT
ap-936	187	1	and	and	CCONJ
ap-936	187	2	if	if	SCONJ
ap-936	187	3	we	we	PRON
ap-936	187	4	make	make	VERB
ap-936	187	5	d	d	ADP
ap-936	187	6	the	the	DET
ap-936	187	7	definition	definition	NOUN
ap-936	187	8	domain	domain	NOUN
ap-936	187	9	of	of	ADP
ap-936	187	10	h	h	NOUN
ap-936	187	11	the	the	DET
ap-936	187	12	operator	operator	NOUN
ap-936	187	13	would	would	AUX
ap-936	187	14	not	not	PART
ap-936	187	15	be	be	AUX
ap-936	187	16	symmetric	symmetric	ADJ
ap-936	187	17	because	because	SCONJ
ap-936	187	18	of	of	ADP
ap-936	187	19	the	the	DET
ap-936	187	20	non	non	ADJ
ap-936	187	21	-	-	ADJ
ap-936	187	22	zero	zero	NUM
ap-936	187	23	boundary	boundary	ADJ
ap-936	187	24	term	term	NOUN
ap-936	187	25	in	in	ADP
ap-936	187	26	per	per	ADP
ap-936	187	27	partes	parte	NOUN
ap-936	187	28	integration	integration	NOUN
ap-936	187	29	.	.	PUNCT
ap-936	188	1	after	after	ADP
ap-936	188	2	restricting	restrict	VERB
ap-936	188	3	the	the	DET
ap-936	188	4	domain	domain	NOUN
ap-936	188	5	of	of	ADP
ap-936	188	6	h	h	NOUN
ap-936	188	7	to	to	PART
ap-936	188	8	functions	function	NOUN
ap-936	188	9	which	which	PRON
ap-936	188	10	vanish	vanish	VERB
ap-936	188	11	in	in	ADP
ap-936	188	12	the	the	DET
ap-936	188	13	origin	origin	NOUN
ap-936	188	14	the	the	DET
ap-936	188	15	operator	operator	NOUN
ap-936	188	16	is	be	AUX
ap-936	188	17	symmetric	symmetric	ADJ
ap-936	188	18	with	with	ADP
ap-936	188	19	point	point	NOUN
ap-936	188	20	spectrum	spectrum	NOUN
ap-936	188	21	(	(	PUNCT
ap-936	188	22	26	26	NUM
ap-936	188	23	)	)	PUNCT
ap-936	188	24	,	,	PUNCT
ap-936	188	25	but	but	CCONJ
ap-936	188	26	still	still	ADV
ap-936	188	27	not	not	PART
ap-936	188	28	self	self	NOUN
ap-936	188	29	-	-	PUNCT
ap-936	188	30	adjoint	adjoint	NOUN
ap-936	188	31	,	,	PUNCT
ap-936	188	32	since	since	SCONJ
ap-936	188	33	the	the	DET
ap-936	188	34	domain	domain	NOUN
ap-936	188	35	of	of	ADP
ap-936	188	36	the	the	DET
ap-936	188	37	adjoint	adjoint	NOUN
ap-936	188	38	operator	operator	NOUN
ap-936	188	39	would	would	AUX
ap-936	188	40	be	be	AUX
ap-936	188	41	the	the	DET
ap-936	188	42	entire	entire	ADJ
ap-936	188	43	set	set	NOUN
ap-936	188	44	d	d	NOUN
ap-936	188	45	,	,	PUNCT
ap-936	188	46	which	which	PRON
ap-936	188	47	is	be	AUX
ap-936	188	48	now	now	ADV
ap-936	188	49	for	for	ADP
ap-936	188	50	c	c	PROPN
ap-936	188	51	�	�	PROPN
ap-936	188	52	3	3	NUM
ap-936	188	53	2	2	NUM
ap-936	188	54	different	different	ADJ
ap-936	188	55	from	from	ADP
ap-936	188	56	dom	dom	NOUN
ap-936	188	57	h.	h.	PROPN
ap-936	188	58	from	from	ADP
ap-936	188	59	the	the	DET
ap-936	188	60	previous	previous	ADJ
ap-936	188	61	discussion	discussion	NOUN
ap-936	188	62	it	it	PRON
ap-936	188	63	follows	follow	VERB
ap-936	188	64	that	that	SCONJ
ap-936	188	65	there	there	PRON
ap-936	188	66	are	be	VERB
ap-936	188	67	two	two	NUM
ap-936	188	68	main	main	ADJ
ap-936	188	69	differences	difference	NOUN
ap-936	188	70	between	between	ADP
ap-936	188	71	square	square	NOUN
ap-936	188	72	-	-	PUNCT
ap-936	188	73	well	well	NOUN
ap-936	188	74	and	and	CCONJ
ap-936	188	75	coulomb	coulomb	NOUN
ap-936	188	76	interaction	interaction	NOUN
ap-936	188	77	within	within	ADP
ap-936	188	78	the	the	DET
ap-936	188	79	framework	framework	NOUN
ap-936	188	80	of	of	ADP
ap-936	188	81	the	the	DET
ap-936	188	82	dirac	dirac	NOUN
ap-936	188	83	equation	equation	NOUN
ap-936	188	84	.	.	PUNCT
ap-936	189	1	the	the	DET
ap-936	189	2	first	first	ADJ
ap-936	189	3	,	,	PUNCT
ap-936	189	4	connected	connect	VERB
ap-936	189	5	with	with	ADP
ap-936	189	6	the	the	DET
ap-936	189	7	long	long	ADJ
ap-936	189	8	range	range	NOUN
ap-936	189	9	of	of	ADP
ap-936	189	10	coulomb	coulomb	NOUN
ap-936	189	11	potential	potential	NOUN
ap-936	189	12	,	,	PUNCT
ap-936	189	13	is	be	AUX
ap-936	189	14	that	that	SCONJ
ap-936	189	15	the	the	DET
ap-936	189	16	eigenvalues	eigenvalue	NOUN
ap-936	189	17	do	do	AUX
ap-936	189	18	not	not	PART
ap-936	189	19	emerge	emerge	VERB
ap-936	189	20	from	from	ADP
ap-936	189	21	the	the	DET
ap-936	189	22	upper	upper	ADJ
ap-936	189	23	continuum	continuum	NOUN
ap-936	189	24	as	as	ADP
ap-936	189	25	the	the	DET
ap-936	189	26	strength	strength	NOUN
ap-936	189	27	of	of	ADP
ap-936	189	28	the	the	DET
ap-936	189	29	interaction	interaction	NOUN
ap-936	189	30	increases	increase	NOUN
ap-936	189	31	(	(	PUNCT
ap-936	189	32	as	as	SCONJ
ap-936	189	33	they	they	PRON
ap-936	189	34	do	do	VERB
ap-936	189	35	in	in	ADP
ap-936	189	36	the	the	DET
ap-936	189	37	case	case	NOUN
ap-936	189	38	of	of	ADP
ap-936	189	39	a	a	DET
ap-936	189	40	square	square	ADJ
ap-936	189	41	well	well	NOUN
ap-936	189	42	)	)	PUNCT
ap-936	189	43	but	but	CCONJ
ap-936	189	44	they	they	PRON
ap-936	189	45	all	all	PRON
ap-936	189	46	exist	exist	VERB
ap-936	189	47	for	for	ADP
ap-936	189	48	any	any	DET
ap-936	189	49	non	non	ADJ
ap-936	189	50	-	-	ADJ
ap-936	189	51	zero	zero	NUM
ap-936	189	52	c.	c.	NOUN
ap-936	189	53	a	a	DET
ap-936	189	54	similar	similar	ADJ
ap-936	189	55	difference	difference	NOUN
ap-936	189	56	is	be	AUX
ap-936	189	57	also	also	ADV
ap-936	189	58	present	present	ADJ
ap-936	189	59	in	in	ADP
ap-936	189	60	a	a	DET
ap-936	189	61	non	non	ADJ
ap-936	189	62	-	-	ADJ
ap-936	189	63	relativistic	relativistic	ADJ
ap-936	189	64	treatment	treatment	NOUN
ap-936	189	65	of	of	ADP
ap-936	189	66	the	the	DET
ap-936	189	67	problems	problem	NOUN
ap-936	189	68	.	.	PUNCT
ap-936	190	1	the	the	DET
ap-936	190	2	second	second	ADJ
ap-936	190	3	difference	difference	NOUN
ap-936	190	4	,	,	PUNCT
ap-936	190	5	more	more	ADV
ap-936	190	6	interesting	interesting	ADJ
ap-936	190	7	for	for	ADP
ap-936	190	8	the	the	DET
ap-936	190	9	purposes	purpose	NOUN
ap-936	190	10	of	of	ADP
ap-936	190	11	this	this	DET
ap-936	190	12	paper	paper	NOUN
ap-936	190	13	,	,	PUNCT
ap-936	190	14	the	the	DET
ap-936	190	15	existence	existence	NOUN
ap-936	190	16	of	of	ADP
ap-936	190	17	complexification	complexification	NOUN
ap-936	190	18	at	at	ADP
ap-936	190	19	a	a	DET
ap-936	190	20	certain	certain	ADJ
ap-936	190	21	value	value	NOUN
ap-936	190	22	of	of	ADP
ap-936	190	23	c	c	NOUN
ap-936	190	24	,	,	PUNCT
ap-936	190	25	is	be	AUX
ap-936	190	26	a	a	DET
ap-936	190	27	consequence	consequence	NOUN
ap-936	190	28	of	of	ADP
ap-936	190	29	the	the	DET
ap-936	190	30	1	1	NUM
ap-936	190	31	r	r	NOUN
ap-936	190	32	singularity	singularity	NOUN
ap-936	190	33	at	at	ADP
ap-936	190	34	the	the	DET
ap-936	190	35	origin	origin	NOUN
ap-936	190	36	.	.	PUNCT
ap-936	191	1	this	this	DET
ap-936	191	2	complexification	complexification	NOUN
ap-936	191	3	is	be	AUX
ap-936	191	4	of	of	ADP
ap-936	191	5	an	an	DET
ap-936	191	6	extraordinary	extraordinary	ADJ
ap-936	191	7	type	type	NOUN
ap-936	191	8	within	within	ADP
ap-936	191	9	the	the	DET
ap-936	191	10	family	family	NOUN
ap-936	191	11	of	of	ADP
ap-936	191	12	�	�	PROPN
ap-936	191	13	�	�	NOUN
ap-936	191	14	-symmetric	-symmetric	ADJ
ap-936	191	15	models	model	NOUN
ap-936	191	16	with	with	ADP
ap-936	191	17	only	only	ADV
ap-936	191	18	one	one	NUM
ap-936	191	19	real	real	ADJ
ap-936	191	20	eigenvalue	eigenvalue	NOUN
ap-936	191	21	forming	form	VERB
ap-936	191	22	a	a	DET
ap-936	191	23	complex	complex	ADJ
ap-936	191	24	pair(11	pair(11	NOUN
ap-936	191	25	)	)	PUNCT
ap-936	191	26	.	.	PUNCT
ap-936	192	1	4	4	NUM
ap-936	192	2	summary	summary	VERB
ap-936	192	3	the	the	DET
ap-936	192	4	purpose	purpose	NOUN
ap-936	192	5	of	of	ADP
ap-936	192	6	this	this	DET
ap-936	192	7	paper	paper	NOUN
ap-936	192	8	was	be	AUX
ap-936	192	9	two	two	NUM
ap-936	192	10	-	-	PUNCT
ap-936	192	11	fold	fold	VERB
ap-936	192	12	:	:	PUNCT
ap-936	192	13	first	first	ADV
ap-936	192	14	to	to	PART
ap-936	192	15	discuss	discuss	VERB
ap-936	192	16	the	the	DET
ap-936	192	17	simple	simple	ADJ
ap-936	192	18	principles	principle	NOUN
ap-936	192	19	behind	behind	ADP
ap-936	192	20	the	the	DET
ap-936	192	21	complexification	complexification	NOUN
ap-936	192	22	of	of	ADP
ap-936	192	23	eigenvalues	eigenvalue	NOUN
ap-936	192	24	and	and	CCONJ
ap-936	192	25	to	to	PART
ap-936	192	26	show	show	VERB
ap-936	192	27	the	the	DET
ap-936	192	28	connection	connection	NOUN
ap-936	192	29	between	between	ADP
ap-936	192	30	avoided	avoided	ADJ
ap-936	192	31	level	level	NOUN
ap-936	192	32	crossings	crossing	NOUN
ap-936	192	33	in	in	ADP
ap-936	192	34	the	the	DET
ap-936	192	35	hermitian	hermitian	ADJ
ap-936	192	36	framework	framework	NOUN
ap-936	192	37	and	and	CCONJ
ap-936	192	38	avoided	avoid	VERB
ap-936	192	39	diagonalisable	diagonalisable	ADJ
ap-936	192	40	eps	eps	PROPN
ap-936	192	41	in	in	ADP
ap-936	192	42	�	�	PROPN
ap-936	192	43	�	�	PROPN
ap-936	192	44	-symmetry	-symmetry	PROPN
ap-936	192	45	.	.	PUNCT
ap-936	192	46	and	and	CCONJ
ap-936	192	47	second	second	ADV
ap-936	192	48	,	,	PUNCT
ap-936	192	49	to	to	PART
ap-936	192	50	show	show	VERB
ap-936	192	51	that	that	SCONJ
ap-936	192	52	in	in	ADP
ap-936	192	53	less	less	ADJ
ap-936	192	54	standard	standard	ADJ
ap-936	192	55	situations	situation	NOUN
ap-936	192	56	(	(	PUNCT
ap-936	192	57	where	where	SCONJ
ap-936	192	58	standard	standard	PROPN
ap-936	192	59	means	mean	VERB
ap-936	192	60	a	a	DET
ap-936	192	61	matrix	matrix	NOUN
ap-936	192	62	or	or	CCONJ
ap-936	192	63	a	a	DET
ap-936	192	64	schrödinger	schrödinger	ADJ
ap-936	192	65	hamiltonian	hamiltonian	NOUN
ap-936	192	66	)	)	PUNCT
ap-936	192	67	,	,	PUNCT
ap-936	192	68	there	there	PRON
ap-936	192	69	are	be	VERB
ap-936	192	70	more	more	ADJ
ap-936	192	71	ways	way	NOUN
ap-936	192	72	in	in	ADP
ap-936	192	73	which	which	PRON
ap-936	192	74	the	the	DET
ap-936	192	75	eigenvalues	eigenvalue	NOUN
ap-936	192	76	can	can	AUX
ap-936	192	77	cross	cross	VERB
ap-936	192	78	the	the	DET
ap-936	192	79	boundary	boundary	NOUN
ap-936	192	80	between	between	ADP
ap-936	192	81	the	the	DET
ap-936	192	82	physical	physical	ADJ
ap-936	192	83	world	world	NOUN
ap-936	192	84	and	and	CCONJ
ap-936	192	85	the	the	DET
ap-936	192	86	complex	complex	ADJ
ap-936	192	87	realm	realm	NOUN
ap-936	192	88	.	.	PUNCT
ap-936	193	1	it	it	PRON
ap-936	193	2	is	be	AUX
ap-936	193	3	by	by	ADP
ap-936	193	4	no	no	DET
ap-936	193	5	means	mean	NOUN
ap-936	193	6	intended	intend	VERB
ap-936	193	7	to	to	PART
ap-936	193	8	state	state	VERB
ap-936	193	9	that	that	SCONJ
ap-936	193	10	the	the	DET
ap-936	193	11	few	few	ADJ
ap-936	193	12	examples	example	NOUN
ap-936	193	13	presented	present	VERB
ap-936	193	14	here	here	ADV
ap-936	193	15	constitute	constitute	VERB
ap-936	193	16	in	in	ADP
ap-936	193	17	any	any	DET
ap-936	193	18	sense	sense	NOUN
ap-936	193	19	a	a	DET
ap-936	193	20	complete	complete	ADJ
ap-936	193	21	list	list	NOUN
ap-936	193	22	of	of	ADP
ap-936	193	23	what	what	PRON
ap-936	193	24	can	can	AUX
ap-936	193	25	happen	happen	VERB
ap-936	193	26	.	.	PUNCT
ap-936	194	1	rather	rather	ADV
ap-936	194	2	the	the	DET
ap-936	194	3	aim	aim	NOUN
ap-936	194	4	of	of	ADP
ap-936	194	5	the	the	DET
ap-936	194	6	article	article	NOUN
ap-936	194	7	was	be	AUX
ap-936	194	8	to	to	PART
ap-936	194	9	illustrate	illustrate	VERB
ap-936	194	10	that	that	SCONJ
ap-936	194	11	some	some	DET
ap-936	194	12	quite	quite	ADV
ap-936	194	13	ordinary	ordinary	ADJ
ap-936	194	14	systems	system	NOUN
ap-936	194	15	can	can	AUX
ap-936	194	16	behave	behave	VERB
ap-936	194	17	contrary	contrary	ADJ
ap-936	194	18	to	to	ADP
ap-936	194	19	the	the	DET
ap-936	194	20	usual	usual	ADJ
ap-936	194	21	“	"	PUNCT
ap-936	194	22	�	�	NOUN
ap-936	194	23	�	�	NOUN
ap-936	194	24	-symmetric	-symmetric	ADJ
ap-936	194	25	intuition	intuition	NOUN
ap-936	194	26	”	"	PUNCT
ap-936	194	27	.	.	PUNCT
ap-936	195	1	remarks	remark	NOUN
ap-936	195	2	(	(	PUNCT
ap-936	195	3	1	1	X
ap-936	195	4	)	)	PUNCT
ap-936	195	5	it	it	PRON
ap-936	195	6	may	may	AUX
ap-936	195	7	be	be	AUX
ap-936	195	8	useful	useful	ADJ
ap-936	195	9	to	to	PART
ap-936	195	10	note	note	VERB
ap-936	195	11	that	that	SCONJ
ap-936	195	12	a	a	DET
ap-936	195	13	systematic	systematic	ADJ
ap-936	195	14	approach	approach	NOUN
ap-936	195	15	to	to	ADP
ap-936	195	16	�	�	PROPN
ap-936	195	17	�	�	PROPN
ap-936	195	18	-symmetry	-symmetry	NOUN
ap-936	195	19	can	can	AUX
ap-936	195	20	not	not	PART
ap-936	195	21	be	be	AUX
ap-936	195	22	probably	probably	ADV
ap-936	195	23	achieved	achieve	VERB
ap-936	195	24	without	without	ADP
ap-936	195	25	use	use	NOUN
ap-936	195	26	of	of	ADP
ap-936	195	27	the	the	DET
ap-936	195	28	krein	krein	NOUN
ap-936	195	29	space	space	NOUN
ap-936	195	30	concept	concept	NOUN
ap-936	195	31	[	[	X
ap-936	195	32	1	1	NUM
ap-936	195	33	]	]	PUNCT
ap-936	195	34	.	.	PUNCT
ap-936	196	1	when	when	SCONJ
ap-936	196	2	the	the	DET
ap-936	196	3	spectrum	spectrum	NOUN
ap-936	196	4	of	of	ADP
ap-936	196	5	a	a	DET
ap-936	196	6	krein	krein	ADJ
ap-936	196	7	space	space	NOUN
ap-936	196	8	operator	operator	NOUN
ap-936	196	9	is	be	AUX
ap-936	196	10	real	real	ADJ
ap-936	196	11	,	,	PUNCT
ap-936	196	12	a	a	DET
ap-936	196	13	transformation	transformation	NOUN
ap-936	196	14	to	to	ADP
ap-936	196	15	a	a	DET
ap-936	196	16	hilbert	hilbert	NOUN
ap-936	196	17	space	space	NOUN
ap-936	196	18	operator	operator	NOUN
ap-936	196	19	exists	exist	VERB
ap-936	196	20	and	and	CCONJ
ap-936	196	21	the	the	DET
ap-936	196	22	�	�	PROPN
ap-936	196	23	�	�	PROPN
ap-936	196	24	-symmetric	-symmetric	ADJ
ap-936	196	25	system	system	NOUN
ap-936	196	26	can	can	AUX
ap-936	196	27	be	be	AUX
ap-936	196	28	treated	treat	VERB
ap-936	196	29	as	as	ADP
ap-936	196	30	in	in	ADP
ap-936	196	31	standard	standard	ADJ
ap-936	196	32	quantum	quantum	ADJ
ap-936	196	33	mechanics	mechanic	NOUN
ap-936	196	34	.	.	PUNCT
ap-936	197	1	(	(	PUNCT
ap-936	197	2	2	2	X
ap-936	197	3	)	)	PUNCT
ap-936	197	4	some	some	DET
ap-936	197	5	authors	author	NOUN
ap-936	197	6	distinguish	distinguish	VERB
ap-936	197	7	between	between	ADP
ap-936	197	8	”	"	PUNCT
ap-936	197	9	exceptional	exceptional	ADJ
ap-936	197	10	“	"	PUNCT
ap-936	197	11	and	and	CCONJ
ap-936	197	12	”	"	PUNCT
ap-936	197	13	diabolic	diabolic	ADJ
ap-936	197	14	“	"	PUNCT
ap-936	197	15	points	point	NOUN
ap-936	197	16	regarding	regard	VERB
ap-936	197	17	the	the	DET
ap-936	197	18	type	type	NOUN
ap-936	197	19	of	of	ADP
ap-936	197	20	complexification	complexification	NOUN
ap-936	197	21	.	.	PUNCT
ap-936	198	1	here	here	ADV
ap-936	198	2	we	we	PRON
ap-936	198	3	use	use	VERB
ap-936	198	4	the	the	DET
ap-936	198	5	first	first	ADJ
ap-936	198	6	term	term	NOUN
ap-936	198	7	for	for	ADP
ap-936	198	8	all	all	DET
ap-936	198	9	types	type	NOUN
ap-936	198	10	.	.	PUNCT
ap-936	199	1	(	(	PUNCT
ap-936	199	2	3	3	X
ap-936	199	3	)	)	PUNCT
ap-936	199	4	usually	usually	ADV
ap-936	199	5	but	but	CCONJ
ap-936	199	6	not	not	PART
ap-936	199	7	necessarily	necessarily	ADV
ap-936	199	8	the	the	DET
ap-936	199	9	standard	standard	ADJ
ap-936	199	10	realisations	realisation	NOUN
ap-936	199	11	of	of	ADP
ap-936	199	12	�	�	PROPN
ap-936	199	13	and	and	CCONJ
ap-936	199	14	�	�	PROPN
ap-936	199	15	are	be	AUX
ap-936	199	16	used	use	VERB
ap-936	199	17	.	.	PUNCT
ap-936	200	1	a	a	DET
ap-936	200	2	particularly	particularly	ADV
ap-936	200	3	useful	useful	ADJ
ap-936	200	4	non	non	ADJ
ap-936	200	5	-	-	ADJ
ap-936	200	6	standard	standard	ADJ
ap-936	200	7	choice	choice	NOUN
ap-936	200	8	is	be	AUX
ap-936	200	9	�	�	PROPN
ap-936	200	10	=	=	SYM
ap-936	200	11	i	i	PROPN
ap-936	200	12	,	,	PUNCT
ap-936	200	13	which	which	PRON
ap-936	200	14	identifies	identify	VERB
ap-936	200	15	symmetric	symmetric	ADJ
ap-936	200	16	and	and	CCONJ
ap-936	200	17	�	�	PROPN
ap-936	200	18	�	�	PROPN
ap-936	200	19	-symmetric	-symmetric	ADJ
ap-936	200	20	operators	operator	NOUN
ap-936	200	21	.	.	PUNCT
ap-936	201	1	(	(	PUNCT
ap-936	201	2	4	4	X
ap-936	201	3	)	)	PUNCT
ap-936	201	4	this	this	PRON
ap-936	201	5	need	need	VERB
ap-936	201	6	not	not	PART
ap-936	201	7	to	to	PART
ap-936	201	8	be	be	AUX
ap-936	201	9	valid	valid	ADJ
ap-936	201	10	for	for	ADP
ap-936	201	11	general	general	ADJ
ap-936	201	12	h0	h0	PROPN
ap-936	201	13	and	and	CCONJ
ap-936	201	14	v	v	NOUN
ap-936	201	15	,	,	PUNCT
ap-936	201	16	but	but	CCONJ
ap-936	201	17	most	most	ADJ
ap-936	201	18	physical	physical	ADJ
ap-936	201	19	systems	system	NOUN
ap-936	201	20	do	do	AUX
ap-936	201	21	not	not	PART
ap-936	201	22	spoil	spoil	VERB
ap-936	201	23	the	the	DET
ap-936	201	24	assumption	assumption	NOUN
ap-936	201	25	.	.	PUNCT
ap-936	202	1	in	in	ADP
ap-936	202	2	many	many	ADJ
ap-936	202	3	situations	situation	NOUN
ap-936	202	4	it	it	PRON
ap-936	202	5	can	can	AUX
ap-936	202	6	be	be	AUX
ap-936	202	7	proved	prove	VERB
ap-936	202	8	through	through	ADP
ap-936	202	9	perturbation	perturbation	NOUN
ap-936	202	10	theory	theory	NOUN
ap-936	202	11	.	.	PUNCT
ap-936	203	1	(	(	PUNCT
ap-936	203	2	5	5	X
ap-936	203	3	)	)	PUNCT
ap-936	203	4	the	the	DET
ap-936	203	5	mapping	mapping	NOUN
ap-936	203	6	s	s	VERB
ap-936	203	7	is	be	AUX
ap-936	203	8	a	a	DET
ap-936	203	9	bijection	bijection	NOUN
ap-936	203	10	which	which	PRON
ap-936	203	11	creates	create	VERB
ap-936	203	12	n2	n2	ADJ
ap-936	203	13	-	-	PUNCT
ap-936	203	14	dimensional	dimensional	ADJ
ap-936	203	15	vector	vector	NOUN
ap-936	203	16	from	from	ADP
ap-936	203	17	n2	n2	ADJ
ap-936	203	18	independent	independent	ADJ
ap-936	203	19	real	real	ADJ
ap-936	203	20	parameters	parameter	NOUN
ap-936	203	21	determining	determine	VERB
ap-936	203	22	the	the	DET
ap-936	203	23	hermitian	hermitian	ADJ
ap-936	203	24	n×n	n×n	PROPN
ap-936	203	25	matrix	matrix	NOUN
ap-936	203	26	,	,	PUNCT
ap-936	203	27	i.e.	i.e.	X
ap-936	203	28	the	the	DET
ap-936	203	29	real	real	ADJ
ap-936	203	30	diagonal	diagonal	ADJ
ap-936	203	31	matrix	matrix	NOUN
ap-936	203	32	elements	element	NOUN
ap-936	203	33	and	and	CCONJ
ap-936	203	34	real	real	ADJ
ap-936	203	35	and	and	CCONJ
ap-936	203	36	imaginary	imaginary	ADJ
ap-936	203	37	parts	part	NOUN
ap-936	203	38	of	of	ADP
ap-936	203	39	the	the	DET
ap-936	203	40	entries	entry	NOUN
ap-936	203	41	above	above	ADP
ap-936	203	42	the	the	DET
ap-936	203	43	diagonal	diagonal	NOUN
ap-936	203	44	.	.	PUNCT
ap-936	204	1	(	(	PUNCT
ap-936	204	2	6	6	NUM
ap-936	204	3	)	)	PUNCT
ap-936	204	4	such	such	ADJ
ap-936	204	5	matrices	matrix	NOUN
ap-936	204	6	obviously	obviously	ADV
ap-936	204	7	exist	exist	VERB
ap-936	204	8	.	.	PUNCT
ap-936	205	1	a	a	DET
ap-936	205	2	particular	particular	ADJ
ap-936	205	3	example	example	NOUN
ap-936	205	4	can	can	AUX
ap-936	205	5	be	be	AUX
ap-936	205	6	easily	easily	ADV
ap-936	205	7	constructed	construct	VERB
ap-936	205	8	in	in	ADP
ap-936	205	9	the	the	DET
ap-936	205	10	diagonal	diagonal	ADJ
ap-936	205	11	basis	basis	NOUN
ap-936	205	12	of	of	ADP
ap-936	205	13	h0	h0	NOUN
ap-936	205	14	:	:	PUNCT
ap-936	205	15	any	any	DET
ap-936	205	16	matrix	matrix	NOUN
ap-936	205	17	which	which	PRON
ap-936	205	18	is	be	AUX
ap-936	205	19	diagonal	diagonal	ADJ
ap-936	205	20	in	in	ADP
ap-936	205	21	this	this	DET
ap-936	205	22	basis	basis	NOUN
ap-936	205	23	and	and	CCONJ
ap-936	205	24	has	have	VERB
ap-936	205	25	values	value	NOUN
ap-936	205	26	v	v	ADP
ap-936	205	27	e	e	PROPN
ap-936	205	28	cii	cii	PROPN
ap-936	205	29	ii	ii	PROPN
ap-936	205	30	�	�	PROPN
ap-936	205	31	�	�	PROPN
ap-936	205	32	�	�	PROPN
ap-936	205	33	(	(	PUNCT
ap-936	205	34	(	(	PUNCT
ap-936	205	35	)	)	PUNCT
ap-936	205	36	)	)	PUNCT
ap-936	205	37	ep	ep	PROPN
ap-936	205	38	eph0	eph0	PROPN
ap-936	205	39	1	1	NUM
ap-936	205	40	at	at	ADP
ap-936	205	41	least	least	ADJ
ap-936	205	42	for	for	ADP
ap-936	205	43	two	two	NUM
ap-936	205	44	different	different	ADJ
ap-936	205	45	�	�	PROPN
ap-936	205	46	�	�	PROPN
ap-936	205	47	i	i	PROPN
ap-936	205	48	n	n	NOUN
ap-936	205	49	1	1	NUM
ap-936	205	50	�	�	NOUN
ap-936	205	51	is	be	AUX
ap-936	205	52	good	good	ADJ
ap-936	205	53	enough	enough	ADV
ap-936	205	54	.	.	PUNCT
ap-936	206	1	(	(	PUNCT
ap-936	206	2	7	7	X
ap-936	206	3	)	)	PUNCT
ap-936	206	4	we	we	PRON
ap-936	206	5	suppose	suppose	VERB
ap-936	206	6	the	the	DET
ap-936	206	7	measure	measure	NOUN
ap-936	206	8	in	in	ADP
ap-936	206	9	the	the	DET
ap-936	206	10	space	space	NOUN
ap-936	206	11	of	of	ADP
ap-936	206	12	matrices	matrix	NOUN
ap-936	206	13	is	be	AUX
ap-936	206	14	generated	generate	VERB
ap-936	206	15	by	by	ADP
ap-936	206	16	an	an	DET
ap-936	206	17	euclidean	euclidean	ADJ
ap-936	206	18	norm	norm	NOUN
ap-936	206	19	a	a	DET
ap-936	206	20	�	�	PROPN
ap-936	206	21	�	�	PROPN
ap-936	206	22	aij	aij	PROPN
ap-936	206	23	2	2	NUM
ap-936	206	24	or	or	CCONJ
ap-936	206	25	equivalent	equivalent	ADJ
ap-936	206	26	.	.	PUNCT
ap-936	207	1	on	on	ADP
ap-936	207	2	contrary	contrary	ADJ
ap-936	207	3	there	there	PRON
ap-936	207	4	can	can	AUX
ap-936	207	5	be	be	AUX
ap-936	207	6	reasons	reason	NOUN
ap-936	207	7	for	for	ADP
ap-936	207	8	choosing	choose	VERB
ap-936	207	9	measures	measure	NOUN
ap-936	207	10	concentrated	concentrate	VERB
ap-936	207	11	on	on	ADP
ap-936	207	12	less	less	ADV
ap-936	207	13	-	-	PUNCT
ap-936	207	14	dimensional	dimensional	ADJ
ap-936	207	15	subspaces	subspace	NOUN
ap-936	207	16	–	–	PUNCT
ap-936	207	17	usually	usually	ADV
ap-936	207	18	because	because	SCONJ
ap-936	207	19	of	of	ADP
ap-936	207	20	some	some	DET
ap-936	207	21	symmetry	symmetry	NOUN
ap-936	207	22	prescription	prescription	NOUN
ap-936	207	23	for	for	ADP
ap-936	207	24	the	the	DET
ap-936	207	25	„	„	PUNCT
ap-936	207	26	randomly	randomly	ADV
ap-936	207	27	choosen	choosen	ADJ
ap-936	207	28	“	"	PUNCT
ap-936	207	29	hamiltonian	hamiltonian	NOUN
ap-936	207	30	.	.	PUNCT
ap-936	208	1	under	under	ADP
ap-936	208	2	such	such	ADJ
ap-936	208	3	conditions	condition	NOUN
ap-936	208	4	the	the	DET
ap-936	208	5	level	level	NOUN
ap-936	208	6	crossings	crossing	NOUN
ap-936	208	7	are	be	AUX
ap-936	208	8	not	not	PART
ap-936	208	9	forbidden	forbid	VERB
ap-936	208	10	.	.	PUNCT
ap-936	209	1	(	(	PUNCT
ap-936	209	2	8)	8)	NUM
ap-936	209	3	it	it	PRON
ap-936	209	4	is	be	AUX
ap-936	209	5	the	the	DET
ap-936	209	6	most	most	ADV
ap-936	209	7	general	general	ADJ
ap-936	209	8	�	�	PROPN
ap-936	209	9	�	�	PROPN
ap-936	209	10	-symmetric	-symmetric	ADJ
ap-936	209	11	two	two	NUM
ap-936	209	12	-	-	PUNCT
ap-936	209	13	dimensional	dimensional	ADJ
ap-936	209	14	matrix	matrix	NOUN
ap-936	209	15	with	with	ADP
ap-936	209	16	respect	respect	NOUN
ap-936	209	17	to	to	ADP
ap-936	209	18	�	�	PROPN
ap-936	209	19	defined	define	VERB
ap-936	209	20	by	by	ADP
ap-936	209	21	pauli	pauli	PROPN
ap-936	209	22	matrix	matrix	NOUN
ap-936	209	23	�	�	PROPN
ap-936	209	24	3	3	NUM
ap-936	209	25	and	and	CCONJ
ap-936	209	26	�	�	PROPN
ap-936	209	27	being	be	AUX
ap-936	209	28	simply	simply	ADV
ap-936	209	29	complex	complex	ADJ
ap-936	209	30	conjugation	conjugation	NOUN
ap-936	209	31	.	.	PUNCT
ap-936	210	1	(	(	PUNCT
ap-936	210	2	9	9	NUM
ap-936	210	3	)	)	PUNCT
ap-936	210	4	strictly	strictly	ADV
ap-936	210	5	speaking	speak	VERB
ap-936	210	6	the	the	DET
ap-936	210	7	system	system	NOUN
ap-936	210	8	defined	define	VERB
ap-936	210	9	by	by	ADP
ap-936	210	10	(	(	PUNCT
ap-936	210	11	15	15	NUM
ap-936	210	12	)	)	PUNCT
ap-936	210	13	is	be	AUX
ap-936	210	14	not	not	PART
ap-936	210	15	of	of	ADP
ap-936	210	16	type	type	NOUN
ap-936	210	17	(	(	PUNCT
ap-936	210	18	1	1	NUM
ap-936	210	19	)	)	PUNCT
ap-936	210	20	.	.	PUNCT
ap-936	211	1	but	but	CCONJ
ap-936	211	2	the	the	DET
ap-936	211	3	linear	linear	PROPN
ap-936	211	4	parametrisation	parametrisation	NOUN
ap-936	211	5	is	be	AUX
ap-936	211	6	still	still	ADV
ap-936	211	7	valid	valid	ADJ
ap-936	211	8	in	in	ADP
ap-936	211	9	a	a	DET
ap-936	211	10	generalised	generalised	ADJ
ap-936	211	11	sense	sense	NOUN
ap-936	211	12	,	,	PUNCT
ap-936	211	13	for	for	ADP
ap-936	211	14	the	the	DET
ap-936	211	15	hamiltonian	hamiltonian	PROPN
ap-936	211	16	’s	’s	PART
ap-936	211	17	associated	associate	VERB
ap-936	211	18	sequilinear	sequilinear	ADJ
ap-936	211	19	form	form	NOUN
ap-936	211	20	.	.	PUNCT
ap-936	212	1	(	(	PUNCT
ap-936	212	2	10)and	10)and	NUM
ap-936	212	3	also	also	ADV
ap-936	212	4	not	not	PART
ap-936	212	5	manifestly	manifestly	ADV
ap-936	212	6	lorentz	lorentz	PROPN
ap-936	212	7	covariant	covariant	PROPN
ap-936	212	8	.	.	PUNCT
ap-936	213	1	(	(	PUNCT
ap-936	213	2	11)to	11)to	NUM
ap-936	213	3	be	be	AUX
ap-936	213	4	more	more	ADV
ap-936	213	5	specific	specific	ADJ
ap-936	213	6	,	,	PUNCT
ap-936	213	7	the	the	DET
ap-936	213	8	statement	statement	NOUN
ap-936	213	9	is	be	AUX
ap-936	213	10	true	true	ADJ
ap-936	213	11	if	if	SCONJ
ap-936	213	12	the	the	DET
ap-936	213	13	boundary	boundary	ADJ
ap-936	213	14	condition	condition	NOUN
ap-936	213	15	�	�	PROPN
ap-936	213	16	(	(	PUNCT
ap-936	213	17	)	)	PUNCT
ap-936	213	18	0	0	SYM
ap-936	213	19	0	0	NUM
ap-936	213	20	�	�	PROPN
ap-936	213	21	is	be	AUX
ap-936	213	22	given	give	VERB
ap-936	213	23	.	.	PUNCT
ap-936	214	1	without	without	ADP
ap-936	214	2	it	it	PRON
ap-936	214	3	,	,	PUNCT
ap-936	214	4	demanding	demand	VERB
ap-936	214	5	only	only	ADJ
ap-936	214	6	square	square	ADJ
ap-936	214	7	integrability	integrability	NOUN
ap-936	214	8	of	of	ADP
ap-936	214	9	�	�	PROPN
ap-936	214	10	and	and	CCONJ
ap-936	214	11	h	h	PROPN
ap-936	214	12	�	�	PROPN
ap-936	214	13	,	,	PUNCT
ap-936	214	14	one	one	PRON
ap-936	214	15	gets	get	VERB
ap-936	214	16	a	a	DET
ap-936	214	17	clearly	clearly	ADV
ap-936	214	18	non	non	ADJ
ap-936	214	19	-	-	ADJ
ap-936	214	20	physical	physical	ADJ
ap-936	214	21	situation	situation	NOUN
ap-936	214	22	:	:	PUNCT
ap-936	214	23	if	if	SCONJ
ap-936	214	24	c	c	PROPN
ap-936	214	25	�	�	PROPN
ap-936	214	26	3	3	NUM
ap-936	214	27	2	2	NUM
ap-936	214	28	,	,	PUNCT
ap-936	214	29	then	then	ADV
ap-936	214	30	all	all	DET
ap-936	214	31	real	real	ADJ
ap-936	214	32	numbers	number	NOUN
ap-936	214	33	become	become	VERB
ap-936	214	34	eigenvalues	eigenvalue	NOUN
ap-936	214	35	with	with	ADP
ap-936	214	36	eigenfunctions	eigenfunction	NOUN
ap-936	214	37	proportional	proportional	ADJ
ap-936	214	38	to	to	ADP
ap-936	214	39	confluent	confluent	ADJ
ap-936	214	40	hypergeometric	hypergeometric	ADJ
ap-936	214	41	function	function	NOUN
ap-936	214	42	u	u	NOUN
ap-936	214	43	multiplied	multiply	VERB
ap-936	214	44	by	by	ADP
ap-936	214	45	decaying	decay	VERB
ap-936	214	46	exponential	exponential	NOUN
ap-936	214	47	.	.	PUNCT
ap-936	215	1	references	reference	NOUN
ap-936	215	2	[	[	X
ap-936	215	3	1	1	NUM
ap-936	215	4	]	]	X
ap-936	215	5	mostafazadeh	mostafazadeh	NOUN
ap-936	215	6	,	,	PUNCT
ap-936	215	7	a.	a.	NOUN
ap-936	215	8	:	:	PUNCT
ap-936	215	9	krein	krein	ADJ
ap-936	215	10	-	-	PUNCT
ap-936	215	11	space	space	NOUN
ap-936	215	12	formulation	formulation	NOUN
ap-936	215	13	of	of	ADP
ap-936	215	14	�	�	PROPN
ap-936	215	15	�	�	PROPN
ap-936	215	16	-symmetry	-symmetry	PROPN
ap-936	215	17	,	,	PUNCT
ap-936	215	18	�	�	PROPN
ap-936	215	19	�	�	PROPN
ap-936	215	20	�	�	PROPN
ap-936	215	21	-inner	-inner	NOUN
ap-936	215	22	products	product	NOUN
ap-936	215	23	,	,	PUNCT
ap-936	215	24	and	and	CCONJ
ap-936	215	25	pseudo	pseudo	NOUN
ap-936	215	26	-	-	NOUN
ap-936	215	27	hermiticity	hermiticity	NOUN
ap-936	215	28	,	,	PUNCT
ap-936	215	29	czech	czech	PROPN
ap-936	215	30	.	.	PUNCT
ap-936	216	1	j.	j.	PROPN
ap-936	216	2	phys	phys	PROPN
ap-936	216	3	.	.	PUNCT
ap-936	217	1	vol	vol	NOUN
ap-936	217	2	.	.	PUNCT
ap-936	218	1	56	56	NUM
ap-936	218	2	(	(	PUNCT
ap-936	218	3	2006	2006	NUM
ap-936	218	4	)	)	PUNCT
ap-936	218	5	,	,	PUNCT
ap-936	219	1	p.	p.	NOUN
ap-936	219	2	919	919	NUM
ap-936	219	3	.	.	PUNCT
ap-936	220	1	©	©	PROPN
ap-936	220	2	czech	czech	PROPN
ap-936	220	3	technical	technical	PROPN
ap-936	220	4	university	university	PROPN
ap-936	220	5	publishing	publishing	NOUN
ap-936	220	6	house	house	NOUN
ap-936	220	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-936	220	8	55	55	NUM
ap-936	220	9	acta	acta	PROPN
ap-936	220	10	polytechnica	polytechnica	PROPN
ap-936	220	11	vol	vol	NOUN
ap-936	220	12	.	.	PUNCT
ap-936	221	1	47	47	NUM
ap-936	221	2	no	no	INTJ
ap-936	221	3	.	.	PUNCT
ap-936	222	1	2–3/2007	2–3/2007	NUM
ap-936	223	1	[	[	X
ap-936	223	2	2	2	NUM
ap-936	223	3	]	]	SYM
ap-936	223	4	heiss	heiss	PROPN
ap-936	223	5	,	,	PUNCT
ap-936	223	6	w.	w.	PROPN
ap-936	223	7	d.	d.	PROPN
ap-936	223	8	,	,	PUNCT
ap-936	223	9	müller	müller	PROPN
ap-936	223	10	,	,	PUNCT
ap-936	223	11	m.	m.	NOUN
ap-936	223	12	,	,	PUNCT
ap-936	223	13	rotter	rotter	NOUN
ap-936	223	14	,	,	PUNCT
ap-936	223	15	i.	i.	NOUN
ap-936	223	16	:	:	PUNCT
ap-936	223	17	collectivity	collectivity	NOUN
ap-936	223	18	,	,	PUNCT
ap-936	223	19	phase	phase	NOUN
ap-936	223	20	transitions	transition	NOUN
ap-936	223	21	and	and	CCONJ
ap-936	223	22	exceptional	exceptional	ADJ
ap-936	223	23	points	point	NOUN
ap-936	223	24	in	in	ADP
ap-936	223	25	open	open	ADJ
ap-936	223	26	quantum	quantum	NOUN
ap-936	223	27	systems	system	NOUN
ap-936	223	28	,	,	PUNCT
ap-936	223	29	phys	phy	NOUN
ap-936	223	30	.	.	PUNCT
ap-936	224	1	rev	rev	PROPN
ap-936	224	2	.	.	PROPN
ap-936	224	3	vol	vol	NOUN
ap-936	224	4	.	.	PUNCT
ap-936	224	5	e58	e58	PROPN
ap-936	224	6	(	(	PUNCT
ap-936	224	7	1998	1998	NUM
ap-936	224	8	)	)	PUNCT
ap-936	224	9	,	,	PUNCT
ap-936	224	10	p.	p.	NOUN
ap-936	224	11	2894	2894	NUM
ap-936	224	12	.	.	PUNCT
ap-936	225	1	[	[	X
ap-936	225	2	3	3	NUM
ap-936	225	3	]	]	X
ap-936	225	4	cejnar	cejnar	NOUN
ap-936	225	5	,	,	PUNCT
ap-936	225	6	p.	p.	PROPN
ap-936	225	7	,	,	PUNCT
ap-936	225	8	heinze	heinze	PROPN
ap-936	225	9	,	,	PUNCT
ap-936	225	10	s.	s.	PROPN
ap-936	225	11	,	,	PUNCT
ap-936	225	12	dobeš	dobeš	NOUN
ap-936	225	13	,	,	PUNCT
ap-936	225	14	j.	j.	PROPN
ap-936	225	15	:	:	PUNCT
ap-936	225	16	thermodynamic	thermodynamic	ADJ
ap-936	225	17	analogy	analogy	NOUN
ap-936	225	18	for	for	ADP
ap-936	225	19	quantum	quantum	ADJ
ap-936	225	20	phase	phase	NOUN
ap-936	225	21	transitions	transition	NOUN
ap-936	225	22	at	at	ADP
ap-936	225	23	zero	zero	NUM
ap-936	225	24	temperature	temperature	NOUN
ap-936	225	25	,	,	PUNCT
ap-936	225	26	phys.rev	phys.rev	PROPN
ap-936	225	27	.	.	NOUN
ap-936	225	28	vol	vol	NOUN
ap-936	225	29	.	.	PUNCT
ap-936	226	1	c71	c71	NOUN
ap-936	226	2	(	(	PUNCT
ap-936	226	3	2005	2005	NUM
ap-936	226	4	)	)	PUNCT
ap-936	226	5	,	,	PUNCT
ap-936	226	6	p.	p.	NOUN
ap-936	226	7	011304	011304	NUM
ap-936	226	8	.	.	PUNCT
ap-936	227	1	[	[	X
ap-936	227	2	4	4	NUM
ap-936	227	3	]	]	X
ap-936	227	4	günther	günther	NOUN
ap-936	227	5	,	,	PUNCT
ap-936	227	6	u.	u.	PROPN
ap-936	227	7	,	,	PUNCT
ap-936	227	8	stefani	stefani	PROPN
ap-936	227	9	,	,	PUNCT
ap-936	227	10	f.	f.	PROPN
ap-936	227	11	,	,	PUNCT
ap-936	227	12	gerbeth	gerbeth	PROPN
ap-936	227	13	,	,	PUNCT
ap-936	227	14	g.	g.	PROPN
ap-936	227	15	:	:	PUNCT
ap-936	227	16	the	the	DET
ap-936	227	17	mhd	mhd	PROPN
ap-936	227	18	�	�	PROPN
ap-936	227	19	2	2	NUM
ap-936	227	20	–	–	PUNCT
ap-936	227	21	dynamo	dynamo	NOUN
ap-936	227	22	,	,	PUNCT
ap-936	227	23	�	�	PROPN
ap-936	227	24	2	2	NUM
ap-936	227	25	–	–	PUNCT
ap-936	227	26	graded	grade	VERB
ap-936	227	27	pseudo	pseudo	NOUN
ap-936	227	28	-	-	NOUN
ap-936	227	29	hermiticity	hermiticity	NOUN
ap-936	227	30	,	,	PUNCT
ap-936	227	31	level	level	NOUN
ap-936	227	32	crossings	crossing	NOUN
ap-936	227	33	and	and	CCONJ
ap-936	227	34	exceptional	exceptional	ADJ
ap-936	227	35	points	point	NOUN
ap-936	227	36	of	of	ADP
ap-936	227	37	branching	branch	VERB
ap-936	227	38	type	type	NOUN
ap-936	227	39	.	.	PUNCT
ap-936	228	1	czech	czech	PROPN
ap-936	228	2	.	.	PUNCT
ap-936	229	1	j.	j.	PROPN
ap-936	229	2	phys	phys	PROPN
ap-936	229	3	.	.	PUNCT
ap-936	230	1	vol	vol	NOUN
ap-936	230	2	.	.	PUNCT
ap-936	231	1	54	54	NUM
ap-936	231	2	(	(	PUNCT
ap-936	231	3	2004	2004	NUM
ap-936	231	4	)	)	PUNCT
ap-936	231	5	,	,	PUNCT
ap-936	232	1	p.	p.	NOUN
ap-936	232	2	1075	1075	NUM
ap-936	232	3	.	.	PUNCT
ap-936	233	1	[	[	X
ap-936	233	2	5	5	NUM
ap-936	233	3	]	]	X
ap-936	233	4	günther	günther	NOUN
ap-936	233	5	,	,	PUNCT
ap-936	233	6	u.	u.	PROPN
ap-936	233	7	,	,	PUNCT
ap-936	233	8	stefani	stefani	PROPN
ap-936	233	9	,	,	PUNCT
ap-936	233	10	f.	f.	PROPN
ap-936	233	11	,	,	PUNCT
ap-936	233	12	znojil	znojil	NOUN
ap-936	233	13	m.	m.	NOUN
ap-936	233	14	:	:	PUNCT
ap-936	233	15	mhd	mhd	PROPN
ap-936	233	16	�	�	PROPN
ap-936	233	17	2	2	NUM
ap-936	233	18	–	–	PUNCT
ap-936	233	19	dynamo	dynamo	NOUN
ap-936	233	20	,	,	PUNCT
ap-936	233	21	squire	squire	NOUN
ap-936	233	22	equation	equation	NOUN
ap-936	233	23	and	and	CCONJ
ap-936	233	24	�	�	NOUN
ap-936	233	25	�	�	NOUN
ap-936	233	26	-symmetric	-symmetric	ADJ
ap-936	233	27	interpolation	interpolation	NOUN
ap-936	233	28	between	between	ADP
ap-936	233	29	square	square	ADJ
ap-936	233	30	well	well	NOUN
ap-936	233	31	and	and	CCONJ
ap-936	233	32	harmonic	harmonic	ADJ
ap-936	233	33	oscillator	oscillator	NOUN
ap-936	233	34	,	,	PUNCT
ap-936	233	35	j.	j.	PROPN
ap-936	233	36	math	math	PROPN
ap-936	233	37	.	.	PUNCT
ap-936	234	1	phys	phy	NOUN
ap-936	234	2	.	.	PUNCT
ap-936	235	1	vol	vol	NOUN
ap-936	235	2	.	.	PUNCT
ap-936	236	1	46	46	NUM
ap-936	236	2	(	(	PUNCT
ap-936	236	3	2005	2005	NUM
ap-936	236	4	)	)	PUNCT
ap-936	236	5	,	,	PUNCT
ap-936	237	1	p.	p.	NOUN
ap-936	237	2	063504	063504	NUM
ap-936	237	3	.	.	PUNCT
ap-936	238	1	[	[	X
ap-936	238	2	6	6	NUM
ap-936	238	3	]	]	X
ap-936	238	4	günther	günther	NOUN
ap-936	238	5	,	,	PUNCT
ap-936	238	6	u.	u.	NOUN
ap-936	238	7	,	,	PUNCT
ap-936	238	8	rotter	rotter	NOUN
ap-936	238	9	,	,	PUNCT
ap-936	238	10	i.	i.	NOUN
ap-936	238	11	,	,	PUNCT
ap-936	238	12	samsonov	samsonov	PROPN
ap-936	238	13	,	,	PUNCT
ap-936	238	14	b.	b.	PROPN
ap-936	238	15	f.	f.	PROPN
ap-936	238	16	:	:	PUNCT
ap-936	238	17	projective	projective	PROPN
ap-936	238	18	hilbert	hilbert	PROPN
ap-936	238	19	space	space	NOUN
ap-936	238	20	structures	structure	NOUN
ap-936	238	21	at	at	ADP
ap-936	238	22	exceptional	exceptional	ADJ
ap-936	238	23	points	point	NOUN
ap-936	238	24	,	,	PUNCT
ap-936	238	25	arxiv:0704.1291	arxiv:0704.1291	PROPN
ap-936	238	26	.	.	PUNCT
ap-936	239	1	[	[	X
ap-936	239	2	7	7	NUM
ap-936	239	3	]	]	X
ap-936	239	4	mostafazadeh	mostafazadeh	NOUN
ap-936	239	5	,	,	PUNCT
ap-936	239	6	a.	a.	NOUN
ap-936	239	7	,	,	PUNCT
ap-936	239	8	batal	batal	ADJ
ap-936	239	9	,	,	PUNCT
ap-936	239	10	a.	a.	NOUN
ap-936	239	11	:	:	PUNCT
ap-936	239	12	physical	physical	ADJ
ap-936	239	13	aspects	aspect	NOUN
ap-936	239	14	of	of	ADP
ap-936	239	15	pseudo	pseudo	NOUN
ap-936	239	16	-	-	ADJ
ap-936	239	17	hermitian	hermitian	ADJ
ap-936	239	18	and	and	CCONJ
ap-936	239	19	�	�	NOUN
ap-936	239	20	�	�	NOUN
ap-936	239	21	-symmetric	-symmetric	ADJ
ap-936	239	22	quantum	quantum	NOUN
ap-936	239	23	mechanics	mechanic	NOUN
ap-936	239	24	,	,	PUNCT
ap-936	239	25	j.	j.	PROPN
ap-936	239	26	phys	phys	PROPN
ap-936	239	27	.	.	PUNCT
ap-936	240	1	vol	vol	NOUN
ap-936	240	2	.	.	PUNCT
ap-936	241	1	a37	a37	PROPN
ap-936	241	2	(	(	PUNCT
ap-936	241	3	2004	2004	NUM
ap-936	241	4	)	)	PUNCT
ap-936	241	5	,	,	PUNCT
ap-936	241	6	p.	p.	NOUN
ap-936	241	7	11645	11645	NUM
ap-936	241	8	.	.	PUNCT
ap-936	242	1	[	[	X
ap-936	242	2	8	8	NUM
ap-936	242	3	]	]	X
ap-936	242	4	quesne	quesne	NOUN
ap-936	242	5	,	,	PUNCT
ap-936	242	6	c.	c.	NOUN
ap-936	242	7	,	,	PUNCT
ap-936	242	8	bagchi	bagchi	PROPN
ap-936	242	9	,	,	PUNCT
ap-936	242	10	b.	b.	PROPN
ap-936	242	11	,	,	PUNCT
ap-936	242	12	mallik	mallik	PROPN
ap-936	242	13	,	,	PUNCT
ap-936	242	14	s.	s.	PROPN
ap-936	242	15	,	,	PUNCT
ap-936	242	16	bíla	bíla	PROPN
ap-936	242	17	,	,	PUNCT
ap-936	242	18	h.	h.	PROPN
ap-936	242	19	,	,	PUNCT
ap-936	242	20	jakubský	jakubský	PROPN
ap-936	242	21	,	,	PUNCT
ap-936	242	22	v.	v.	ADV
ap-936	242	23	,	,	PUNCT
ap-936	242	24	znojil	znojil	NOUN
ap-936	242	25	,	,	PUNCT
ap-936	242	26	m.	m.	NOUN
ap-936	242	27	:	:	PUNCT
ap-936	242	28	�	�	PROPN
ap-936	242	29	�	�	PROPN
ap-936	242	30	-supersymmetric	-supersymmetric	ADJ
ap-936	242	31	partner	partner	NOUN
ap-936	242	32	of	of	ADP
ap-936	242	33	a	a	DET
ap-936	242	34	short	short	ADJ
ap-936	242	35	-	-	PUNCT
ap-936	242	36	range	range	NOUN
ap-936	242	37	square	square	NOUN
ap-936	242	38	well	well	ADV
ap-936	242	39	,	,	PUNCT
ap-936	242	40	czech	czech	PROPN
ap-936	242	41	.	.	PUNCT
ap-936	243	1	j.	j.	PROPN
ap-936	243	2	phys	phys	PROPN
ap-936	243	3	.	.	PUNCT
ap-936	244	1	vol	vol	NOUN
ap-936	244	2	.	.	PUNCT
ap-936	245	1	55	55	NUM
ap-936	245	2	(	(	PUNCT
ap-936	245	3	2005	2005	NUM
ap-936	245	4	)	)	PUNCT
ap-936	245	5	,	,	PUNCT
ap-936	245	6	p.	p.	NOUN
ap-936	245	7	1161	1161	NUM
ap-936	245	8	.	.	PUNCT
ap-936	246	1	[	[	X
ap-936	246	2	9	9	NUM
ap-936	246	3	]	]	X
ap-936	246	4	mostafazadeh	mostafazadeh	NOUN
ap-936	246	5	,	,	PUNCT
ap-936	246	6	a.	a.	NOUN
ap-936	246	7	:	:	PUNCT
ap-936	246	8	exact	exact	ADJ
ap-936	246	9	�	�	PROPN
ap-936	246	10	�	�	PROPN
ap-936	246	11	-symmetry	-symmetry	NOUN
ap-936	246	12	is	be	AUX
ap-936	246	13	equivalent	equivalent	ADJ
ap-936	246	14	to	to	ADP
ap-936	246	15	hermiticity	hermiticity	NOUN
ap-936	246	16	,	,	PUNCT
ap-936	246	17	j.phys	j.phy	NOUN
ap-936	246	18	.	.	PUNCT
ap-936	247	1	vol	vol	NOUN
ap-936	247	2	.	.	PUNCT
ap-936	248	1	a36	a36	PROPN
ap-936	248	2	(	(	PUNCT
ap-936	248	3	2003	2003	NUM
ap-936	248	4	)	)	PUNCT
ap-936	248	5	,	,	PUNCT
ap-936	248	6	p.	p.	NOUN
ap-936	248	7	7081	7081	NUM
ap-936	248	8	.	.	PUNCT
ap-936	249	1	[	[	X
ap-936	249	2	10	10	NUM
ap-936	249	3	]	]	X
ap-936	249	4	bender	bender	NOUN
ap-936	249	5	,	,	PUNCT
ap-936	249	6	c.	c.	PROPN
ap-936	249	7	m.	m.	PROPN
ap-936	249	8	,	,	PUNCT
ap-936	249	9	boettcher	boettcher	PROPN
ap-936	249	10	,	,	PUNCT
ap-936	249	11	s.	s.	PROPN
ap-936	249	12	,	,	PUNCT
ap-936	249	13	meisinger	meisinger	NOUN
ap-936	249	14	,	,	PUNCT
ap-936	249	15	p.	p.	NOUN
ap-936	249	16	:	:	PUNCT
ap-936	249	17	�	�	PROPN
ap-936	249	18	�	�	NOUN
ap-936	249	19	-symmetric	-symmetric	ADJ
ap-936	249	20	quantum	quantum	NOUN
ap-936	249	21	mechanics	mechanic	NOUN
ap-936	249	22	,	,	PUNCT
ap-936	249	23	j.	j.	PROPN
ap-936	249	24	math	math	PROPN
ap-936	249	25	.	.	PUNCT
ap-936	250	1	phys	phy	NOUN
ap-936	250	2	.	.	PUNCT
ap-936	251	1	vol	vol	NOUN
ap-936	251	2	.	.	PROPN
ap-936	252	1	40	40	NUM
ap-936	252	2	(	(	PUNCT
ap-936	252	3	1999	1999	NUM
ap-936	252	4	)	)	PUNCT
ap-936	252	5	,	,	PUNCT
ap-936	252	6	p.	p.	NOUN
ap-936	252	7	2201	2201	NUM
ap-936	252	8	.	.	PUNCT
ap-936	253	1	[	[	X
ap-936	253	2	11	11	NUM
ap-936	253	3	]	]	X
ap-936	253	4	krejčiřík	krejčiřík	PROPN
ap-936	253	5	,	,	PUNCT
ap-936	253	6	d.	d.	PROPN
ap-936	253	7	,	,	PUNCT
ap-936	253	8	bíla	bíla	PROPN
ap-936	253	9	,	,	PUNCT
ap-936	253	10	h.	h.	PROPN
ap-936	253	11	,	,	PUNCT
ap-936	253	12	znojil	znojil	PROPN
ap-936	253	13	,	,	PUNCT
ap-936	253	14	m.	m.	NOUN
ap-936	253	15	:	:	PUNCT
ap-936	253	16	closed	close	VERB
ap-936	253	17	formula	formula	NOUN
ap-936	253	18	for	for	ADP
ap-936	253	19	the	the	DET
ap-936	253	20	metric	metric	NOUN
ap-936	253	21	in	in	ADP
ap-936	253	22	the	the	DET
ap-936	253	23	hilbert	hilbert	NOUN
ap-936	253	24	space	space	NOUN
ap-936	253	25	of	of	ADP
ap-936	253	26	a	a	DET
ap-936	253	27	�	�	PROPN
ap-936	253	28	�	�	NOUN
ap-936	253	29	-symmetric	-symmetric	ADJ
ap-936	253	30	model	model	NOUN
ap-936	253	31	,	,	PUNCT
ap-936	253	32	j.	j.	PROPN
ap-936	253	33	phys	phys	PROPN
ap-936	253	34	.	.	PUNCT
ap-936	254	1	vol	vol	NOUN
ap-936	254	2	.	.	PUNCT
ap-936	255	1	a39	a39	PROPN
ap-936	255	2	(	(	PUNCT
ap-936	255	3	2009	2009	NUM
ap-936	255	4	)	)	PUNCT
ap-936	255	5	.	.	PUNCT
ap-936	256	1	p.	p.	NOUN
ap-936	256	2	10143	10143	NUM
ap-936	256	3	.	.	PUNCT
ap-936	257	1	[	[	X
ap-936	257	2	12	12	NUM
ap-936	257	3	]	]	PUNCT
ap-936	257	4	lévai	lévai	NOUN
ap-936	257	5	,	,	PUNCT
ap-936	257	6	g.	g.	NOUN
ap-936	257	7	:	:	PUNCT
ap-936	257	8	comparative	comparative	ADJ
ap-936	257	9	analysis	analysis	NOUN
ap-936	257	10	of	of	ADP
ap-936	257	11	real	real	ADJ
ap-936	257	12	and	and	CCONJ
ap-936	257	13	�	�	NOUN
ap-936	257	14	�	�	PROPN
ap-936	257	15	-symmetric	-symmetric	ADJ
ap-936	257	16	scarf	scarf	NOUN
ap-936	257	17	potentials	potential	NOUN
ap-936	257	18	,	,	PUNCT
ap-936	257	19	czech	czech	PROPN
ap-936	257	20	.	.	PUNCT
ap-936	258	1	j.	j.	PROPN
ap-936	258	2	phys	phys	PROPN
ap-936	258	3	.	.	PUNCT
ap-936	259	1	vol	vol	NOUN
ap-936	259	2	.	.	PUNCT
ap-936	260	1	56	56	NUM
ap-936	260	2	(	(	PUNCT
ap-936	260	3	2006	2006	NUM
ap-936	260	4	)	)	PUNCT
ap-936	261	1	p.	p.	NOUN
ap-936	261	2	953	953	NUM
ap-936	261	3	.	.	PUNCT
ap-936	262	1	[	[	X
ap-936	262	2	13	13	NUM
ap-936	262	3	]	]	X
ap-936	262	4	feshbach	feshbach	PROPN
ap-936	262	5	,	,	PUNCT
ap-936	262	6	h.	h.	PROPN
ap-936	262	7	,	,	PUNCT
ap-936	262	8	villars	villar	NOUN
ap-936	262	9	,	,	PUNCT
ap-936	262	10	f.	f.	PROPN
ap-936	262	11	:	:	PUNCT
ap-936	262	12	elementary	elementary	ADJ
ap-936	262	13	relativistic	relativistic	ADJ
ap-936	262	14	wave	wave	NOUN
ap-936	262	15	mechanics	mechanic	NOUN
ap-936	262	16	of	of	ADP
ap-936	262	17	spin	spin	NOUN
ap-936	262	18	0	0	PUNCT
ap-936	262	19	and	and	CCONJ
ap-936	262	20	spin	spin	VERB
ap-936	262	21	1/2	1/2	NUM
ap-936	262	22	particles	particle	NOUN
ap-936	262	23	,	,	PUNCT
ap-936	262	24	rev	rev	PROPN
ap-936	262	25	.	.	PROPN
ap-936	262	26	mod	mod	PROPN
ap-936	262	27	.	.	PUNCT
ap-936	263	1	phys	phy	NOUN
ap-936	263	2	.	.	PUNCT
ap-936	264	1	vol	vol	NOUN
ap-936	264	2	.	.	PROPN
ap-936	264	3	30	30	NUM
ap-936	264	4	(	(	PUNCT
ap-936	264	5	1958	1958	NUM
ap-936	264	6	)	)	PUNCT
ap-936	264	7	.	.	PUNCT
ap-936	265	1	mgr	mgr	PROPN
ap-936	265	2	.	.	PUNCT
ap-936	266	1	hynek	hynek	PROPN
ap-936	266	2	bíla	bíla	PROPN
ap-936	266	3	phone	phone	NOUN
ap-936	266	4	:	:	PUNCT
ap-936	266	5	+420	+420	PROPN
ap-936	266	6	266	266	NUM
ap-936	266	7	173	173	NUM
ap-936	266	8	280	280	NUM
ap-936	266	9	email	email	NOUN
ap-936	266	10	:	:	PUNCT
ap-936	266	11	hynek.bila@ujf.cas.cz	hynek.bila@ujf.cas.cz	PROPN
ap-936	266	12	nuclear	nuclear	PROPN
ap-936	266	13	physics	physics	PROPN
ap-936	266	14	institute	institute	PROPN
ap-936	266	15	academy	academy	PROPN
ap-936	266	16	of	of	ADP
ap-936	266	17	science	science	NOUN
ap-936	266	18	of	of	ADP
ap-936	266	19	the	the	DET
ap-936	266	20	czech	czech	PROPN
ap-936	266	21	republic	republic	NOUN
ap-936	266	22	250	250	NUM
ap-936	266	23	68	68	NUM
ap-936	266	24	řež	řež	NOUN
ap-936	266	25	,	,	PUNCT
ap-936	266	26	czech	czech	PROPN
ap-936	266	27	republic	republic	NOUN
ap-936	266	28	56	56	NUM
ap-936	266	29	©	©	PROPN
ap-936	266	30	czech	czech	PROPN
ap-936	266	31	technical	technical	PROPN
ap-936	266	32	university	university	PROPN
ap-936	266	33	publishing	publishing	NOUN
ap-936	266	34	house	house	NOUN
ap-936	266	35	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-936	266	36	acta	acta	PROPN
ap-936	266	37	polytechnica	polytechnica	PROPN
ap-936	266	38	vol	vol	NOUN
ap-936	266	39	.	.	PUNCT
ap-936	267	1	47	47	NUM
ap-936	267	2	no	no	INTJ
ap-936	267	3	.	.	PUNCT
ap-936	268	1	2–3/2007	2–3/2007	NUM