id	sid	tid	token	lemma	pos
ap-918	1	1	ap07_2-3.vp	ap07_2-3.vp	PRON
ap-918	1	2	1	1	NUM
ap-918	1	3	introduction	introduction	NOUN
ap-918	1	4	and	and	CCONJ
ap-918	1	5	summary	summary	VERB
ap-918	1	6	a	a	DET
ap-918	1	7	more	more	ADV
ap-918	1	8	or	or	CCONJ
ap-918	1	9	less	less	ADV
ap-918	1	10	satisfactory	satisfactory	ADJ
ap-918	1	11	explanation	explanation	NOUN
ap-918	1	12	of	of	ADP
ap-918	1	13	the	the	DET
ap-918	1	14	numerous	numerous	ADJ
ap-918	1	15	experimental	experimental	ADJ
ap-918	1	16	observations	observation	NOUN
ap-918	1	17	that	that	PRON
ap-918	1	18	the	the	DET
ap-918	1	19	states	state	NOUN
ap-918	1	20	of	of	ADP
ap-918	1	21	molecules	molecule	NOUN
ap-918	1	22	,	,	PUNCT
ap-918	1	23	atoms	atom	NOUN
ap-918	1	24	and	and	CCONJ
ap-918	1	25	atomic	atomic	ADJ
ap-918	1	26	nuclei	nucleus	NOUN
ap-918	1	27	are	be	AUX
ap-918	1	28	quantized	quantize	VERB
ap-918	1	29	belongs	belong	VERB
ap-918	1	30	to	to	ADP
ap-918	1	31	the	the	DET
ap-918	1	32	most	most	ADV
ap-918	1	33	important	important	ADJ
ap-918	1	34	achievements	achievement	NOUN
ap-918	1	35	of	of	ADP
ap-918	1	36	physics	physics	NOUN
ap-918	1	37	made	make	VERB
ap-918	1	38	,	,	PUNCT
ap-918	1	39	predominantly	predominantly	ADV
ap-918	1	40	,	,	PUNCT
ap-918	1	41	during	during	ADP
ap-918	1	42	the	the	DET
ap-918	1	43	first	first	ADJ
ap-918	1	44	few	few	ADJ
ap-918	1	45	decades	decade	NOUN
ap-918	1	46	of	of	ADP
ap-918	1	47	the	the	DET
ap-918	1	48	twentieth	twentieth	ADJ
ap-918	1	49	century	century	NOUN
ap-918	1	50	[	[	X
ap-918	1	51	1	1	NUM
ap-918	1	52	]	]	PUNCT
ap-918	1	53	.	.	PUNCT
ap-918	2	1	it	it	PRON
ap-918	2	2	is	be	AUX
ap-918	2	3	,	,	PUNCT
ap-918	2	4	therefore	therefore	ADV
ap-918	2	5	,	,	PUNCT
ap-918	2	6	slightly	slightly	ADV
ap-918	2	7	surprising	surprising	ADJ
ap-918	2	8	that	that	SCONJ
ap-918	2	9	the	the	DET
ap-918	2	10	situation	situation	NOUN
ap-918	2	11	is	be	AUX
ap-918	2	12	still	still	ADV
ap-918	2	13	not	not	PART
ap-918	2	14	yet	yet	ADV
ap-918	2	15	entirely	entirely	ADV
ap-918	2	16	satisfactory	satisfactory	ADJ
ap-918	2	17	at	at	ADP
ap-918	2	18	present	present	ADJ
ap-918	2	19	.	.	PUNCT
ap-918	3	1	in	in	ADP
ap-918	3	2	particular	particular	ADJ
ap-918	3	3	,	,	PUNCT
ap-918	3	4	one	one	PRON
ap-918	3	5	often	often	ADV
ap-918	3	6	has	have	VERB
ap-918	3	7	to	to	PART
ap-918	3	8	rely	rely	VERB
ap-918	3	9	upon	upon	SCONJ
ap-918	3	10	phenomenological	phenomenological	ADJ
ap-918	3	11	models	model	NOUN
ap-918	3	12	in	in	ADP
ap-918	3	13	nuclear	nuclear	ADJ
ap-918	3	14	physics	physics	NOUN
ap-918	3	15	where	where	SCONJ
ap-918	3	16	our	our	PRON
ap-918	3	17	uncertainties	uncertainty	NOUN
ap-918	3	18	concerning	concern	VERB
ap-918	3	19	the	the	DET
ap-918	3	20	“	"	PUNCT
ap-918	3	21	correct	correct	ADJ
ap-918	3	22	form	form	NOUN
ap-918	3	23	”	"	PUNCT
ap-918	3	24	of	of	ADP
ap-918	3	25	the	the	DET
ap-918	3	26	interactions	interaction	NOUN
ap-918	3	27	between	between	ADP
ap-918	3	28	individual	individual	ADJ
ap-918	3	29	nucleons	nucleon	NOUN
ap-918	3	30	are	be	AUX
ap-918	3	31	combined	combine	VERB
ap-918	3	32	with	with	ADP
ap-918	3	33	the	the	DET
ap-918	3	34	enormous	enormous	ADJ
ap-918	3	35	mathematical	mathematical	ADJ
ap-918	3	36	difficulties	difficulty	NOUN
ap-918	3	37	arising	arise	VERB
ap-918	3	38	in	in	ADP
ap-918	3	39	connection	connection	NOUN
ap-918	3	40	with	with	ADP
ap-918	3	41	a	a	DET
ap-918	3	42	sufficiently	sufficiently	ADV
ap-918	3	43	reliable	reliable	ADJ
ap-918	3	44	numerical	numerical	ADJ
ap-918	3	45	solution	solution	NOUN
ap-918	3	46	of	of	ADP
ap-918	3	47	the	the	DET
ap-918	3	48	underlying	underlie	VERB
ap-918	3	49	quantum	quantum	NOUN
ap-918	3	50	-	-	ADJ
ap-918	3	51	mechanical	mechanical	ADJ
ap-918	3	52	many	many	ADJ
ap-918	3	53	-	-	PUNCT
ap-918	3	54	nucleon	nucleon	NOUN
ap-918	3	55	problem	problem	NOUN
ap-918	3	56	.	.	PUNCT
ap-918	4	1	one	one	NUM
ap-918	4	2	of	of	ADP
ap-918	4	3	the	the	DET
ap-918	4	4	ways	way	NOUN
ap-918	4	5	out	out	ADP
ap-918	4	6	of	of	ADP
ap-918	4	7	the	the	DET
ap-918	4	8	latter	latter	ADJ
ap-918	4	9	theoretical	theoretical	ADJ
ap-918	4	10	as	as	ADV
ap-918	4	11	well	well	ADV
ap-918	4	12	as	as	ADP
ap-918	4	13	practical	practical	ADJ
ap-918	4	14	trap	trap	NOUN
ap-918	4	15	has	have	AUX
ap-918	4	16	been	be	AUX
ap-918	4	17	found	find	VERB
ap-918	4	18	in	in	ADP
ap-918	4	19	the	the	DET
ap-918	4	20	elimination	elimination	NOUN
ap-918	4	21	of	of	ADP
ap-918	4	22	as	as	ADV
ap-918	4	23	many	many	ADJ
ap-918	4	24	irrelevant	irrelevant	ADJ
ap-918	4	25	degrees	degree	NOUN
ap-918	4	26	of	of	ADP
ap-918	4	27	freedom	freedom	NOUN
ap-918	4	28	as	as	ADP
ap-918	4	29	possible	possible	ADJ
ap-918	4	30	.	.	PUNCT
ap-918	5	1	perceivable	perceivable	ADJ
ap-918	5	2	success	success	NOUN
ap-918	5	3	has	have	AUX
ap-918	5	4	been	be	AUX
ap-918	5	5	encountered	encounter	VERB
ap-918	5	6	in	in	ADP
ap-918	5	7	the	the	DET
ap-918	5	8	so	so	ADV
ap-918	5	9	called	call	VERB
ap-918	5	10	interacting	interact	VERB
ap-918	5	11	boson	boson	NOUN
ap-918	5	12	models	model	NOUN
ap-918	5	13	,	,	PUNCT
ap-918	5	14	where	where	SCONJ
ap-918	5	15	practical	practical	ADJ
ap-918	5	16	solvability	solvability	NOUN
ap-918	5	17	of	of	ADP
ap-918	5	18	the	the	DET
ap-918	5	19	complicated	complicated	ADJ
ap-918	5	20	(	(	PUNCT
ap-918	5	21	i.e.	i.e.	X
ap-918	5	22	,	,	PUNCT
ap-918	5	23	partial	partial	ADJ
ap-918	5	24	differential	differential	NOUN
ap-918	5	25	or	or	CCONJ
ap-918	5	26	integro	integro	ADJ
ap-918	5	27	-	-	PUNCT
ap-918	5	28	differential	differential	NOUN
ap-918	5	29	)	)	PUNCT
ap-918	5	30	linear	linear	ADJ
ap-918	5	31	schrödinger	schrödinger	ADJ
ap-918	5	32	equations	equation	NOUN
ap-918	5	33	for	for	ADP
ap-918	5	34	bound	bind	VERB
ap-918	5	35	states	state	NOUN
ap-918	5	36	,	,	PUNCT
ap-918	5	37	h	h	NOUN
ap-918	5	38	e	e	PROPN
ap-918	5	39	nn	nn	PROPN
ap-918	5	40	n	n	CCONJ
ap-918	5	41	n	n	CCONJ
ap-918	5	42	�	�	PROPN
ap-918	5	43	�	�	PROPN
ap-918	5	44	�	�	PROPN
ap-918	5	45	�	�	PROPN
ap-918	5	46	,	,	PUNCT
ap-918	5	47	,	,	PUNCT
ap-918	5	48	,	,	PUNCT
ap-918	5	49	0	0	NUM
ap-918	5	50	1	1	NUM
ap-918	5	51	�	�	PROPN
ap-918	5	52	has	have	AUX
ap-918	5	53	been	be	AUX
ap-918	5	54	achieved	achieve	VERB
ap-918	5	55	via	via	ADP
ap-918	5	56	their	their	PRON
ap-918	5	57	reduction	reduction	NOUN
ap-918	5	58	to	to	ADP
ap-918	5	59	the	the	DET
ap-918	5	60	“	"	PUNCT
ap-918	5	61	effective	effective	ADJ
ap-918	5	62	”	"	PUNCT
ap-918	5	63	,	,	PUNCT
ap-918	5	64	simplified	simplify	VERB
ap-918	5	65	form	form	NOUN
ap-918	5	66	h	h	NOUN
ap-918	5	67	e	e	PROPN
ap-918	5	68	n	n	PROPN
ap-918	5	69	neff	neff	PROPN
ap-918	5	70	n	n	PROPN
ap-918	5	71	eff	eff	PROPN
ap-918	5	72	n	n	PROPN
ap-918	5	73	eff	eff	PROPN
ap-918	5	74	n	n	PROPN
ap-918	5	75	eff	eff	PROPN
ap-918	5	76	(	(	PUNCT
ap-918	5	77	)	)	PUNCT
ap-918	5	78	(	(	PUNCT
ap-918	5	79	)	)	PUNCT
ap-918	5	80	(	(	PUNCT
ap-918	5	81	)	)	PUNCT
ap-918	5	82	(	(	PUNCT
ap-918	5	83	)	)	PUNCT
ap-918	5	84	max	max	PROPN
ap-918	5	85	,	,	PUNCT
ap-918	5	86	,	,	PUNCT
ap-918	5	87	,	,	PUNCT
ap-918	5	88	,	,	PUNCT
ap-918	5	89	�	�	PROPN
ap-918	5	90	�	�	PROPN
ap-918	5	91	�	�	PROPN
ap-918	5	92	�	�	PROPN
ap-918	5	93	0	0	NUM
ap-918	5	94	1	1	NUM
ap-918	5	95	�	�	PROPN
ap-918	5	96	,	,	PUNCT
ap-918	5	97	where	where	SCONJ
ap-918	5	98	h(eff	h(eff	PROPN
ap-918	5	99	)	)	PUNCT
ap-918	5	100	is	be	AUX
ap-918	5	101	a	a	DET
ap-918	5	102	finite	finite	ADJ
ap-918	5	103	-	-	ADJ
ap-918	5	104	dimensional	dimensional	ADJ
ap-918	5	105	and	and	CCONJ
ap-918	5	106	,	,	PUNCT
ap-918	5	107	often	often	ADV
ap-918	5	108	,	,	PUNCT
ap-918	5	109	real	real	ADJ
ap-918	5	110	and	and	CCONJ
ap-918	5	111	symmetric	symmetric	ADJ
ap-918	5	112	matrix	matrix	NOUN
ap-918	5	113	.	.	PUNCT
ap-918	6	1	in	in	ADP
ap-918	6	2	the	the	DET
ap-918	6	3	latter	latter	ADJ
ap-918	6	4	context	context	NOUN
ap-918	6	5	as	as	SCONJ
ap-918	6	6	briefly	briefly	ADV
ap-918	6	7	reviewed	review	VERB
ap-918	6	8	,	,	PUNCT
ap-918	6	9	e.g.	e.g.	ADV
ap-918	6	10	,	,	PUNCT
ap-918	6	11	in	in	ADP
ap-918	6	12	[	[	PUNCT
ap-918	6	13	2	2	NUM
ap-918	6	14	]	]	PUNCT
ap-918	6	15	,	,	PUNCT
ap-918	6	16	a	a	DET
ap-918	6	17	conflict	conflict	NOUN
ap-918	6	18	survives	survive	VERB
ap-918	6	19	between	between	ADP
ap-918	6	20	the	the	DET
ap-918	6	21	numerical	numerical	ADJ
ap-918	6	22	reliability	reliability	NOUN
ap-918	6	23	and	and	CCONJ
ap-918	6	24	practical	practical	ADJ
ap-918	6	25	tractability	tractability	NOUN
ap-918	6	26	of	of	ADP
ap-918	6	27	the	the	DET
ap-918	6	28	effective	effective	ADJ
ap-918	6	29	models	model	NOUN
ap-918	6	30	.	.	PUNCT
ap-918	7	1	in	in	ADP
ap-918	7	2	the	the	DET
ap-918	7	3	context	context	NOUN
ap-918	7	4	of	of	ADP
ap-918	7	5	the	the	DET
ap-918	7	6	so	so	ADV
ap-918	7	7	called	call	VERB
ap-918	7	8	dyson	dyson	NOUN
ap-918	7	9	-	-	PUNCT
ap-918	7	10	mapping	mapping	NOUN
ap-918	7	11	approximation	approximation	NOUN
ap-918	7	12	technique	technique	NOUN
ap-918	7	13	,	,	PUNCT
ap-918	7	14	for	for	ADP
ap-918	7	15	example	example	NOUN
ap-918	7	16	,	,	PUNCT
ap-918	7	17	it	it	PRON
ap-918	7	18	was	be	AUX
ap-918	7	19	originally	originally	ADV
ap-918	7	20	felt	feel	VERB
ap-918	7	21	as	as	ADP
ap-918	7	22	an	an	DET
ap-918	7	23	unpleasant	unpleasant	ADJ
ap-918	7	24	surprise	surprise	NOUN
ap-918	7	25	that	that	SCONJ
ap-918	7	26	the	the	DET
ap-918	7	27	requirement	requirement	NOUN
ap-918	7	28	of	of	ADP
ap-918	7	29	the	the	DET
ap-918	7	30	smallness	smallness	NOUN
ap-918	7	31	of	of	ADP
ap-918	7	32	the	the	DET
ap-918	7	33	dimension	dimension	NOUN
ap-918	7	34	of	of	ADP
ap-918	7	35	the	the	DET
ap-918	7	36	matrix	matrix	NOUN
ap-918	7	37	h(eff	h(eff	PROPN
ap-918	7	38	)	)	PUNCT
ap-918	7	39	emerged	emerge	VERB
ap-918	7	40	in	in	ADP
ap-918	7	41	an	an	DET
ap-918	7	42	apparently	apparently	ADV
ap-918	7	43	inseparable	inseparable	ADJ
ap-918	7	44	combination	combination	NOUN
ap-918	7	45	with	with	ADP
ap-918	7	46	the	the	DET
ap-918	7	47	necessity	necessity	NOUN
ap-918	7	48	of	of	ADP
ap-918	7	49	moving	move	VERB
ap-918	7	50	to	to	ADP
ap-918	7	51	a	a	DET
ap-918	7	52	less	less	ADV
ap-918	7	53	standard	standard	ADJ
ap-918	7	54	hilbert	hilbert	NOUN
ap-918	7	55	space	space	NOUN
ap-918	7	56	h(physical	h(physical	ADJ
ap-918	7	57	)	)	PUNCT
ap-918	7	58	of	of	ADP
ap-918	7	59	states	state	NOUN
ap-918	7	60	where	where	SCONJ
ap-918	7	61	the	the	DET
ap-918	7	62	definition	definition	NOUN
ap-918	7	63	of	of	ADP
ap-918	7	64	the	the	DET
ap-918	7	65	inner	inner	ADJ
ap-918	7	66	(	(	PUNCT
ap-918	7	67	“	"	PUNCT
ap-918	7	68	scalar	scalar	ADJ
ap-918	7	69	”	"	PUNCT
ap-918	7	70	)	)	PUNCT
ap-918	7	71	product	product	NOUN
ap-918	7	72	between	between	ADP
ap-918	7	73	elements	element	NOUN
ap-918	7	74	�	�	PROPN
ap-918	7	75	�	�	PROPN
ap-918	7	76	h(physical	h(physical	ADJ
ap-918	7	77	)	)	PUNCT
ap-918	7	78	and	and	CCONJ
ap-918	7	79	�	�	PROPN
ap-918	7	80	�	�	PROPN
ap-918	7	81	h(physical	h(physical	ADJ
ap-918	7	82	)	)	PUNCT
ap-918	7	83	had	have	VERB
ap-918	7	84	to	to	PART
ap-918	7	85	be	be	AUX
ap-918	7	86	modified	modify	VERB
ap-918	7	87	,	,	PUNCT
ap-918	7	88	�	�	PROPN
ap-918	7	89	�	�	PROPN
ap-918	7	90	�	�	PROPN
ap-918	7	91	�	�	PROPN
ap-918	7	92	�	�	PROPN
ap-918	7	93	�	�	PROPN
ap-918	7	94	�	�	PROPN
ap-918	7	95	�	�	PROPN
ap-918	7	96	�	�	PROPN
ap-918	7	97	�	�	PROPN
ap-918	7	98	,	,	PUNCT
ap-918	7	99	†	†	PROPN
ap-918	7	100	0	0	PUNCT
ap-918	7	101	(	(	PUNCT
ap-918	7	102	1	1	X
ap-918	7	103	)	)	PUNCT
ap-918	7	104	this	this	DET
ap-918	7	105	trick	trick	NOUN
ap-918	7	106	very	very	ADV
ap-918	7	107	easily	easily	ADV
ap-918	7	108	extends	extend	VERB
ap-918	7	109	the	the	DET
ap-918	7	110	applicability	applicability	NOUN
ap-918	7	111	of	of	ADP
ap-918	7	112	the	the	DET
ap-918	7	113	formalism	formalism	NOUN
ap-918	7	114	of	of	ADP
ap-918	7	115	standard	standard	ADJ
ap-918	7	116	textbook	textbook	NOUN
ap-918	7	117	quantum	quantum	NOUN
ap-918	7	118	mechanics	mechanic	NOUN
ap-918	7	119	by	by	ADP
ap-918	7	120	the	the	DET
ap-918	7	121	transition	transition	NOUN
ap-918	7	122	to	to	ADP
ap-918	7	123	the	the	DET
ap-918	7	124	various	various	ADJ
ap-918	7	125	nontrivial	nontrivial	NOUN
ap-918	7	126	,	,	PUNCT
ap-918	7	127	“	"	PUNCT
ap-918	7	128	non	non	ADJ
ap-918	7	129	-	-	ADJ
ap-918	7	130	dirac	dirac	ADJ
ap-918	7	131	”	"	PUNCT
ap-918	7	132	metric	metric	ADJ
ap-918	7	133	operators	operator	NOUN
ap-918	7	134	.	.	PUNCT
ap-918	8	1	of	of	ADP
ap-918	8	2	course	course	NOUN
ap-918	8	3	,	,	PUNCT
ap-918	8	4	all	all	DET
ap-918	8	5	the	the	DET
ap-918	8	6	observable	observable	ADJ
ap-918	8	7	quantities	quantity	NOUN
ap-918	8	8	must	must	AUX
ap-918	8	9	be	be	AUX
ap-918	8	10	then	then	ADV
ap-918	8	11	represented	represent	VERB
ap-918	8	12	by	by	ADP
ap-918	8	13	the	the	DET
ap-918	8	14	operators	operator	NOUN
ap-918	8	15	�	�	PROPN
ap-918	8	16	(	(	PUNCT
ap-918	8	17	physical	physical	PROPN
ap-918	8	18	)	)	PUNCT
ap-918	8	19	which	which	PRON
ap-918	8	20	are	be	AUX
ap-918	8	21	self	self	NOUN
ap-918	8	22	-	-	PUNCT
ap-918	8	23	adjoint	adjoint	NOUN
ap-918	8	24	in	in	ADP
ap-918	8	25	�	�	PROPN
ap-918	8	26	(	(	PUNCT
ap-918	8	27	physical	physical	NOUN
ap-918	8	28	)	)	PUNCT
ap-918	8	29	.	.	PUNCT
ap-918	9	1	whenever	whenever	SCONJ
ap-918	9	2	one	one	PRON
ap-918	9	3	chooses	choose	VERB
ap-918	9	4	a	a	DET
ap-918	9	5	nontrivial	nontrivial	ADJ
ap-918	9	6	metric	metric	ADJ
ap-918	9	7	�	�	PROPN
ap-918	9	8	(	(	PUNCT
ap-918	9	9	physical	physical	ADJ
ap-918	9	10	)	)	PUNCT
ap-918	9	11	�	�	PROPN
ap-918	9	12	�	�	PROPN
ap-918	9	13	in	in	ADP
ap-918	9	14	�	�	PROPN
ap-918	9	15	(	(	PUNCT
ap-918	9	16	physical	physical	PROPN
ap-918	9	17	)	)	PUNCT
ap-918	9	18	,	,	PUNCT
ap-918	9	19	all	all	DET
ap-918	9	20	the	the	DET
ap-918	9	21	operators	operator	NOUN
ap-918	9	22	�	�	PROPN
ap-918	9	23	(	(	PUNCT
ap-918	9	24	physical	physical	NOUN
ap-918	9	25	)	)	PUNCT
ap-918	9	26	which	which	PRON
ap-918	9	27	are	be	AUX
ap-918	9	28	self	self	NOUN
ap-918	9	29	-	-	PUNCT
ap-918	9	30	adjoint	adjoint	NOUN
ap-918	9	31	in	in	ADP
ap-918	9	32	�	�	PROPN
ap-918	9	33	(	(	PUNCT
ap-918	9	34	physical	physical	NOUN
ap-918	9	35	)	)	PUNCT
ap-918	9	36	must	must	AUX
ap-918	9	37	obey	obey	VERB
ap-918	9	38	the	the	DET
ap-918	9	39	consistency	consistency	NOUN
ap-918	9	40	condition	condition	NOUN
ap-918	9	41	�	�	PROPN
ap-918	9	42	�	�	PROPN
ap-918	9	43	�	�	PROPN
ap-918	9	44	�	�	PROPN
ap-918	9	45	(	(	PUNCT
ap-918	9	46	)	)	PUNCT
ap-918	9	47	†	†	PROPN
ap-918	9	48	(	(	PUNCT
ap-918	9	49	)	)	PUNCT
ap-918	9	50	physical	physical	ADJ
ap-918	9	51	physical	physical	PROPN
ap-918	9	52	�	�	PROPN
ap-918	9	53	�	�	PROPN
ap-918	9	54	�	�	PROPN
ap-918	9	55	�	�	PROPN
ap-918	9	56	1	1	NUM
ap-918	9	57	.	.	PUNCT
ap-918	10	1	(	(	PUNCT
ap-918	10	2	2	2	X
ap-918	10	3	)	)	PUNCT
ap-918	10	4	unfortunately	unfortunately	ADV
ap-918	10	5	,	,	PUNCT
ap-918	10	6	confusion	confusion	NOUN
ap-918	10	7	may	may	AUX
ap-918	10	8	(	(	PUNCT
ap-918	10	9	as	as	SCONJ
ap-918	10	10	it	it	PRON
ap-918	10	11	often	often	ADV
ap-918	10	12	does	do	AUX
ap-918	10	13	[	[	X
ap-918	10	14	3	3	NUM
ap-918	10	15	]	]	PUNCT
ap-918	10	16	)	)	PUNCT
ap-918	10	17	immediately	immediately	ADV
ap-918	10	18	arise	arise	VERB
ap-918	10	19	in	in	ADP
ap-918	10	20	all	all	DET
ap-918	10	21	the	the	DET
ap-918	10	22	models	model	NOUN
ap-918	10	23	where	where	SCONJ
ap-918	10	24	one	one	NUM
ap-918	10	25	employs	employ	VERB
ap-918	10	26	,	,	PUNCT
ap-918	10	27	in	in	ADP
ap-918	10	28	parallel	parallel	NOUN
ap-918	10	29	,	,	PUNCT
ap-918	10	30	another	another	PRON
ap-918	10	31	,	,	PUNCT
ap-918	10	32	auxiliary	auxiliary	ADJ
ap-918	10	33	but	but	CCONJ
ap-918	10	34	much	much	ADV
ap-918	10	35	more	more	ADV
ap-918	10	36	easily	easily	ADV
ap-918	10	37	tractable	tractable	ADJ
ap-918	10	38	hilbert	hilbert	PROPN
ap-918	10	39	space	space	PROPN
ap-918	10	40	�	�	PROPN
ap-918	10	41	(	(	PUNCT
ap-918	10	42	unphysical	unphysical	ADJ
ap-918	10	43	)	)	PUNCT
ap-918	10	44	,	,	PUNCT
ap-918	10	45	the	the	DET
ap-918	10	46	scalar	scalar	ADJ
ap-918	10	47	product	product	NOUN
ap-918	10	48	in	in	ADP
ap-918	10	49	which	which	PRON
ap-918	10	50	is	be	AUX
ap-918	10	51	specified	specify	VERB
ap-918	10	52	by	by	ADP
ap-918	10	53	the	the	DET
ap-918	10	54	unit	unit	NOUN
ap-918	10	55	metric	metric	PROPN
ap-918	10	56	�	�	PROPN
ap-918	10	57	(	(	PUNCT
ap-918	10	58	unphysical	unphysical	ADJ
ap-918	10	59	)	)	PUNCT
ap-918	10	60	�	�	PROPN
ap-918	10	61	i.	i.	NOUN
ap-918	10	62	for	for	ADP
ap-918	10	63	this	this	DET
ap-918	10	64	reason	reason	NOUN
ap-918	10	65	,	,	PUNCT
ap-918	10	66	it	it	PRON
ap-918	10	67	has	have	AUX
ap-918	10	68	been	be	AUX
ap-918	10	69	recommended	recommend	VERB
ap-918	10	70	[	[	PUNCT
ap-918	10	71	2	2	NUM
ap-918	10	72	]	]	PUNCT
ap-918	10	73	to	to	PART
ap-918	10	74	call	call	VERB
ap-918	10	75	the	the	DET
ap-918	10	76	operators	operator	NOUN
ap-918	10	77	�	�	PROPN
ap-918	10	78	(	(	PUNCT
ap-918	10	79	physical	physical	NOUN
ap-918	10	80	)	)	PUNCT
ap-918	11	1	[	[	X
ap-918	11	2	of	of	ADP
ap-918	11	3	eq	eq	NOUN
ap-918	11	4	.	.	PUNCT
ap-918	12	1	(	(	PUNCT
ap-918	12	2	2	2	NUM
ap-918	12	3	)	)	PUNCT
ap-918	12	4	,	,	PUNCT
ap-918	12	5	with	with	SCONJ
ap-918	12	6	�	�	PROPN
ap-918	12	7	�	�	PROPN
ap-918	12	8	i	i	PRON
ap-918	12	9	]	]	X
ap-918	12	10	“	"	PUNCT
ap-918	12	11	quasi	quasi	ADJ
ap-918	12	12	-	-	ADJ
ap-918	12	13	hermitian	hermitian	ADJ
ap-918	12	14	”	"	PUNCT
ap-918	12	15	,	,	PUNCT
ap-918	12	16	while	while	SCONJ
ap-918	12	17	reserving	reserve	VERB
ap-918	12	18	the	the	DET
ap-918	12	19	name	name	NOUN
ap-918	12	20	“	"	PUNCT
ap-918	12	21	hermitian	hermitian	ADJ
ap-918	12	22	”	"	PUNCT
ap-918	12	23	solely	solely	ADV
ap-918	12	24	for	for	ADP
ap-918	12	25	the	the	DET
ap-918	12	26	subset	subset	NOUN
ap-918	12	27	of	of	ADP
ap-918	12	28	operators	operator	NOUN
ap-918	12	29	�	�	PROPN
ap-918	12	30	for	for	ADP
ap-918	12	31	which	which	PRON
ap-918	12	32	eq	eq	ADP
ap-918	12	33	.	.	PUNCT
ap-918	13	1	(	(	PUNCT
ap-918	13	2	2	2	X
ap-918	13	3	)	)	PUNCT
ap-918	13	4	holds	hold	VERB
ap-918	13	5	at	at	ADP
ap-918	13	6	the	the	DET
ap-918	13	7	traditional	traditional	ADJ
ap-918	13	8	“	"	PUNCT
ap-918	13	9	dirac	dirac	NOUN
ap-918	13	10	”	"	PUNCT
ap-918	13	11	special	special	ADJ
ap-918	13	12	metric	metric	ADJ
ap-918	13	13	�	�	PROPN
ap-918	13	14	�	�	PROPN
ap-918	13	15	i.	i.	PROPN
ap-918	13	16	the	the	DET
ap-918	13	17	latter	latter	ADJ
ap-918	13	18	convention	convention	NOUN
ap-918	13	19	is	be	AUX
ap-918	13	20	believed	believe	VERB
ap-918	13	21	to	to	PART
ap-918	13	22	minimize	minimize	VERB
ap-918	13	23	the	the	DET
ap-918	13	24	possible	possible	ADJ
ap-918	13	25	misunderstandings	misunderstanding	NOUN
ap-918	13	26	,	,	PUNCT
ap-918	13	27	in	in	ADP
ap-918	13	28	spite	spite	NOUN
ap-918	13	29	of	of	ADP
ap-918	13	30	the	the	DET
ap-918	13	31	apparently	apparently	ADV
ap-918	13	32	counterintuitive	counterintuitive	ADJ
ap-918	13	33	fact	fact	NOUN
ap-918	13	34	that	that	SCONJ
ap-918	13	35	all	all	DET
ap-918	13	36	the	the	DET
ap-918	13	37	operators	operator	NOUN
ap-918	13	38	of	of	ADP
ap-918	13	39	observables	observable	NOUN
ap-918	13	40	�	�	PROPN
ap-918	13	41	(	(	PUNCT
ap-918	13	42	physical	physical	NOUN
ap-918	13	43	)	)	PUNCT
ap-918	13	44	may	may	AUX
ap-918	13	45	be	be	AUX
ap-918	13	46	called	call	VERB
ap-918	13	47	,	,	PUNCT
ap-918	13	48	strictly	strictly	ADV
ap-918	13	49	speaking	speak	VERB
ap-918	13	50	,	,	PUNCT
ap-918	13	51	“	"	PUNCT
ap-918	13	52	non	non	ADJ
ap-918	13	53	-	-	ADJ
ap-918	13	54	hermitian	hermitian	ADJ
ap-918	13	55	”	"	PUNCT
ap-918	13	56	,	,	PUNCT
ap-918	13	57	at	at	ADP
ap-918	13	58	least	least	ADJ
ap-918	13	59	from	from	ADP
ap-918	13	60	the	the	DET
ap-918	13	61	point	point	NOUN
ap-918	13	62	of	of	ADP
ap-918	13	63	view	view	NOUN
ap-918	13	64	of	of	ADP
ap-918	13	65	the	the	DET
ap-918	13	66	more	more	ADV
ap-918	13	67	conventional	conventional	ADJ
ap-918	13	68	,	,	PUNCT
ap-918	13	69	albeit	albeit	SCONJ
ap-918	13	70	auxiliary	auxiliary	ADJ
ap-918	13	71	,	,	PUNCT
ap-918	13	72	hilbert	hilbert	PROPN
ap-918	13	73	space	space	PROPN
ap-918	13	74	�	�	PROPN
ap-918	13	75	(	(	PUNCT
ap-918	13	76	unphysical	unphysical	ADJ
ap-918	13	77	)	)	PUNCT
ap-918	13	78	.	.	PUNCT
ap-918	14	1	the	the	DET
ap-918	14	2	latter	latter	ADJ
ap-918	14	3	,	,	PUNCT
ap-918	14	4	apparently	apparently	ADV
ap-918	14	5	innocent	innocent	ADJ
ap-918	14	6	-	-	PUNCT
ap-918	14	7	looking	look	VERB
ap-918	14	8	paradox	paradox	NOUN
ap-918	14	9	demonstrated	demonstrate	VERB
ap-918	14	10	its	its	PRON
ap-918	14	11	full	full	ADJ
ap-918	14	12	strength	strength	NOUN
ap-918	14	13	and	and	CCONJ
ap-918	14	14	impact	impact	NOUN
ap-918	14	15	when	when	SCONJ
ap-918	14	16	bender	bender	NOUN
ap-918	14	17	and	and	CCONJ
ap-918	14	18	boettcher	boettcher	PROPN
ap-918	14	19	published	publish	VERB
ap-918	14	20	their	their	PRON
ap-918	14	21	apparently	apparently	ADV
ap-918	14	22	surprising	surprising	ADJ
ap-918	14	23	observation	observation	NOUN
ap-918	14	24	[	[	X
ap-918	14	25	4	4	X
ap-918	14	26	]	]	PUNCT
ap-918	14	27	that	that	SCONJ
ap-918	14	28	certain	certain	ADJ
ap-918	14	29	remarkably	remarkably	ADV
ap-918	14	30	elementary	elementary	ADJ
ap-918	14	31	(	(	PUNCT
ap-918	14	32	viz	viz	PROPN
ap-918	14	33	.	.	PUNCT
ap-918	14	34	ordinary	ordinary	ADJ
ap-918	14	35	differential	differential	NOUN
ap-918	14	36	)	)	PUNCT
ap-918	14	37	hamiltonians	hamiltonian	VERB
ap-918	14	38	h(bb	h(bb	NUM
ap-918	14	39	)	)	PUNCT
ap-918	14	40	possess	possess	NOUN
ap-918	14	41	,	,	PUNCT
ap-918	14	42	in	in	ADP
ap-918	14	43	spite	spite	NOUN
ap-918	14	44	of	of	ADP
ap-918	14	45	their	their	PRON
ap-918	14	46	manifest	manif	ADJ
ap-918	14	47	non	non	ADJ
ap-918	14	48	-	-	NOUN
ap-918	14	49	hermiticity	hermiticity	NOUN
ap-918	14	50	(	(	PUNCT
ap-918	14	51	with	with	ADP
ap-918	14	52	respect	respect	NOUN
ap-918	14	53	to	to	ADP
ap-918	14	54	the	the	DET
ap-918	14	55	most	most	ADV
ap-918	14	56	common	common	ADJ
ap-918	14	57	hilbert	hilbert	NOUN
ap-918	14	58	space	space	NOUN
ap-918	14	59	l2	l2	NOUN
ap-918	14	60	(	(	PUNCT
ap-918	14	61	�	�	PROPN
ap-918	14	62	,	,	PUNCT
ap-918	14	63	)	)	PUNCT
ap-918	14	64	)	)	PUNCT
ap-918	14	65	,	,	PUNCT
ap-918	14	66	real	real	ADJ
ap-918	14	67	and	and	CCONJ
ap-918	14	68	discrete	discrete	ADJ
ap-918	14	69	(	(	PUNCT
ap-918	14	70	i.e.	i.e.	X
ap-918	14	71	,	,	PUNCT
ap-918	14	72	bound	bind	VERB
ap-918	14	73	-	-	PUNCT
ap-918	14	74	state	state	NOUN
ap-918	14	75	-	-	PUNCT
ap-918	14	76	like	like	ADJ
ap-918	14	77	)	)	PUNCT
ap-918	14	78	spectra	spectra	NOUN
ap-918	14	79	.	.	PUNCT
ap-918	15	1	it	it	PRON
ap-918	15	2	took	take	VERB
ap-918	15	3	a	a	DET
ap-918	15	4	few	few	ADJ
ap-918	15	5	years	year	NOUN
ap-918	15	6	before	before	ADP
ap-918	15	7	the	the	DET
ap-918	15	8	bender	bender	NOUN
ap-918	15	9	’s	’s	PART
ap-918	15	10	and	and	CCONJ
ap-918	15	11	boettcher	boettcher	PROPN
ap-918	15	12	’s	’s	PART
ap-918	15	13	apparent	apparent	ADJ
ap-918	15	14	puzzle	puzzle	NOUN
ap-918	15	15	was	be	AUX
ap-918	15	16	resolved	resolve	VERB
ap-918	15	17	.	.	PUNCT
ap-918	16	1	independently	independently	ADV
ap-918	16	2	,	,	PUNCT
ap-918	16	3	several	several	ADJ
ap-918	16	4	groups	group	NOUN
ap-918	16	5	of	of	ADP
ap-918	16	6	people	people	NOUN
ap-918	16	7	realized	realize	VERB
ap-918	16	8	that	that	SCONJ
ap-918	16	9	in	in	ADP
ap-918	16	10	our	our	PRON
ap-918	16	11	present	present	ADJ
ap-918	16	12	language	language	NOUN
ap-918	16	13	and	and	CCONJ
ap-918	16	14	for	for	ADP
ap-918	16	15	all	all	DET
ap-918	16	16	the	the	DET
ap-918	16	17	models	model	NOUN
ap-918	16	18	in	in	ADP
ap-918	16	19	question	question	NOUN
ap-918	16	20	we	we	PRON
ap-918	16	21	have	have	VERB
ap-918	16	22	l2	l2	NOUN
ap-918	16	23	(	(	PUNCT
ap-918	16	24	�	�	PROPN
ap-918	16	25	,	,	PUNCT
ap-918	16	26	)	)	PUNCT
ap-918	16	27	�	�	PROPN
ap-918	16	28	(	(	PUNCT
ap-918	16	29	unphysical	unphysical	ADJ
ap-918	16	30	)	)	PUNCT
ap-918	17	1	[	[	X
ap-918	17	2	5	5	NUM
ap-918	17	3	,	,	PUNCT
ap-918	17	4	6	6	NUM
ap-918	17	5	,	,	PUNCT
ap-918	17	6	7	7	NUM
ap-918	17	7	,	,	PUNCT
ap-918	17	8	8	8	NUM
ap-918	17	9	,	,	PUNCT
ap-918	17	10	9	9	NUM
ap-918	17	11	,	,	PUNCT
ap-918	17	12	10	10	NUM
ap-918	17	13	,	,	PUNCT
ap-918	17	14	11	11	NUM
ap-918	17	15	,	,	PUNCT
ap-918	17	16	12	12	NUM
ap-918	17	17	,	,	PUNCT
ap-918	17	18	13	13	NUM
ap-918	17	19	,	,	PUNCT
ap-918	17	20	14	14	NUM
ap-918	17	21	]	]	PUNCT
ap-918	17	22	.	.	PUNCT
ap-918	18	1	this	this	PRON
ap-918	18	2	means	mean	VERB
ap-918	18	3	that	that	SCONJ
ap-918	18	4	inside	inside	ADP
ap-918	18	5	a	a	DET
ap-918	18	6	certain	certain	ADJ
ap-918	18	7	quasi	quasi	ADJ
ap-918	18	8	-	-	ADJ
ap-918	18	9	hermiticity	hermiticity	ADJ
ap-918	18	10	domain	domain	NOUN
ap-918	18	11	�	�	PROPN
ap-918	18	12	of	of	ADP
ap-918	18	13	parameters	parameter	NOUN
ap-918	18	14	where	where	SCONJ
ap-918	18	15	the	the	DET
ap-918	18	16	energies	energy	NOUN
ap-918	18	17	remain	remain	VERB
ap-918	18	18	real	real	ADJ
ap-918	18	19	[	[	X
ap-918	18	20	4	4	NUM
ap-918	18	21	,	,	PUNCT
ap-918	18	22	7	7	NUM
ap-918	18	23	]	]	PUNCT
ap-918	18	24	,	,	PUNCT
ap-918	18	25	all	all	DET
ap-918	18	26	the	the	DET
ap-918	18	27	models	model	NOUN
ap-918	18	28	h(bb	h(bb	NOUN
ap-918	18	29	)	)	PUNCT
ap-918	18	30	�	�	NOUN
ap-918	19	1	[	[	X
ap-918	19	2	h(bb)]†	h(bb)]†	X
ap-918	19	3	do	do	AUX
ap-918	19	4	satisfy	satisfy	VERB
ap-918	19	5	the	the	DET
ap-918	19	6	necessary	necessary	ADJ
ap-918	19	7	quasi	quasi	ADJ
ap-918	19	8	-	-	ADJ
ap-918	19	9	hermiticity	hermiticity	ADJ
ap-918	19	10	condition	condition	NOUN
ap-918	19	11	(	(	PUNCT
ap-918	19	12	2	2	NUM
ap-918	19	13	)	)	PUNCT
ap-918	19	14	.	.	PUNCT
ap-918	20	1	one	one	NUM
ap-918	20	2	even	even	ADV
ap-918	20	3	©	©	PROPN
ap-918	20	4	czech	czech	PROPN
ap-918	20	5	technical	technical	PROPN
ap-918	20	6	university	university	PROPN
ap-918	20	7	publishing	publishing	NOUN
ap-918	20	8	house	house	NOUN
ap-918	20	9	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-918	20	10	9	9	NUM
ap-918	20	11	acta	acta	PROPN
ap-918	20	12	polytechnica	polytechnica	PROPN
ap-918	20	13	vol	vol	NOUN
ap-918	20	14	.	.	PUNCT
ap-918	21	1	47	47	NUM
ap-918	21	2	no	no	NOUN
ap-918	21	3	.	.	PUNCT
ap-918	22	1	2–3/2007	2–3/2007	NUM
ap-918	22	2	�	�	NOUN
ap-918	22	3	�	�	NOUN
ap-918	22	4	-symmetric	-symmetric	ADJ
ap-918	22	5	quantum	quantum	NOUN
ap-918	22	6	chain	chain	NOUN
ap-918	22	7	models	model	NOUN
ap-918	22	8	m.	m.	NOUN
ap-918	22	9	znojil	znojil	PROPN
ap-918	22	10	a	a	DET
ap-918	22	11	review	review	NOUN
ap-918	22	12	is	be	AUX
ap-918	22	13	given	give	VERB
ap-918	22	14	of	of	ADP
ap-918	22	15	certain	certain	ADJ
ap-918	22	16	tridiagonal	tridiagonal	ADJ
ap-918	22	17	n	n	CCONJ
ap-918	22	18	-	-	PUNCT
ap-918	22	19	dimensional	dimensional	ADJ
ap-918	22	20	non	non	ADJ
ap-918	22	21	-	-	ADJ
ap-918	22	22	hermitian	hermitian	ADJ
ap-918	22	23	j	j	PROPN
ap-918	22	24	-	-	PUNCT
ap-918	22	25	parametric	parametric	ADJ
ap-918	22	26	real	real	ADJ
ap-918	22	27	-	-	PUNCT
ap-918	22	28	matrix	matrix	NOUN
ap-918	22	29	quantum	quantum	NOUN
ap-918	22	30	hamiltonians	hamiltonian	NOUN
ap-918	22	31	h(n	h(n	PROPN
ap-918	22	32	)	)	PUNCT
ap-918	22	33	.	.	PUNCT
ap-918	23	1	the	the	DET
ap-918	23	2	domains	domain	NOUN
ap-918	23	3	�	�	PROPN
ap-918	23	4	(	(	PUNCT
ap-918	23	5	n	n	CCONJ
ap-918	23	6	)	)	PUNCT
ap-918	23	7	of	of	ADP
ap-918	23	8	reality	reality	NOUN
ap-918	23	9	of	of	ADP
ap-918	23	10	their	their	PRON
ap-918	23	11	spectra	spectra	NOUN
ap-918	23	12	of	of	ADP
ap-918	23	13	energies	energy	NOUN
ap-918	23	14	are	be	AUX
ap-918	23	15	studied	study	VERB
ap-918	23	16	,	,	PUNCT
ap-918	23	17	with	with	ADP
ap-918	23	18	particular	particular	ADJ
ap-918	23	19	attention	attention	NOUN
ap-918	23	20	paid	pay	VERB
ap-918	23	21	to	to	ADP
ap-918	23	22	their	their	PRON
ap-918	23	23	exceptional	exceptional	ADJ
ap-918	23	24	-	-	PUNCT
ap-918	23	25	point	point	NOUN
ap-918	23	26	boundaries	boundary	NOUN
ap-918	23	27	�	�	PROPN
ap-918	23	28	�	�	PROPN
ap-918	23	29	(	(	PUNCT
ap-918	23	30	)	)	PUNCT
ap-918	23	31	n	n	X
ap-918	23	32	.	.	PUNCT
ap-918	24	1	the	the	DET
ap-918	24	2	strongest	strong	ADJ
ap-918	24	3	admissible	admissible	ADJ
ap-918	24	4	couplings	coupling	NOUN
ap-918	24	5	are	be	AUX
ap-918	24	6	specified	specify	VERB
ap-918	24	7	in	in	ADP
ap-918	24	8	closed	closed	ADJ
ap-918	24	9	form	form	NOUN
ap-918	24	10	for	for	ADP
ap-918	24	11	all	all	DET
ap-918	24	12	n.	n.	NOUN
ap-918	24	13	keywords	keyword	NOUN
ap-918	24	14	:	:	PUNCT
ap-918	24	15	quantum	quantum	NOUN
ap-918	24	16	mechanics	mechanic	NOUN
ap-918	24	17	,	,	PUNCT
ap-918	24	18	pseudohermitian	pseudohermitian	ADJ
ap-918	24	19	hamiltonians	hamiltonian	NOUN
ap-918	24	20	,	,	PUNCT
ap-918	24	21	�	�	NOUN
ap-918	24	22	�	�	NOUN
ap-918	24	23	-symmetric	-symmetric	ADJ
ap-918	24	24	nearest	near	ADJ
ap-918	24	25	-	-	PUNCT
ap-918	24	26	neighbor	neighbor	NOUN
ap-918	24	27	interactions	interaction	NOUN
ap-918	24	28	,	,	PUNCT
ap-918	24	29	exactly	exactly	ADV
ap-918	24	30	solvable	solvable	ADJ
ap-918	24	31	finite	finite	ADJ
ap-918	24	32	-	-	ADJ
ap-918	24	33	dimensional	dimensional	ADJ
ap-918	24	34	models	model	NOUN
ap-918	24	35	,	,	PUNCT
ap-918	24	36	domains	domain	NOUN
ap-918	24	37	of	of	ADP
ap-918	24	38	quasihermiticity	quasihermiticity	NOUN
ap-918	24	39	,	,	PUNCT
ap-918	24	40	exceptional	exceptional	ADJ
ap-918	24	41	points	point	NOUN
ap-918	24	42	.	.	PUNCT
ap-918	25	1	realizes	realize	VERB
ap-918	25	2	[	[	X
ap-918	25	3	2	2	NUM
ap-918	25	4	]	]	PUNCT
ap-918	25	5	,	,	PUNCT
ap-918	25	6	[	[	X
ap-918	25	7	10	10	NUM
ap-918	25	8	]	]	PUNCT
ap-918	25	9	that	that	SCONJ
ap-918	25	10	there	there	PRON
ap-918	25	11	exist	exist	VERB
ap-918	25	12	quite	quite	DET
ap-918	25	13	a	a	DET
ap-918	25	14	few	few	ADJ
ap-918	25	15	different	different	ADJ
ap-918	25	16	metrics	metric	NOUN
ap-918	25	17	�	�	PROPN
ap-918	25	18	�	�	PROPN
ap-918	25	19	�	�	PROPN
ap-918	25	20	(	(	PUNCT
ap-918	25	21	physical	physical	ADJ
ap-918	25	22	)	)	PUNCT
ap-918	25	23	�	�	PROPN
ap-918	25	24	i	i	PRON
ap-918	25	25	which	which	PRON
ap-918	25	26	can	can	AUX
ap-918	25	27	all	all	PRON
ap-918	25	28	be	be	AUX
ap-918	25	29	assigned	assign	VERB
ap-918	25	30	to	to	ADP
ap-918	25	31	the	the	DET
ap-918	25	32	“	"	PUNCT
ap-918	25	33	candidate	candidate	NOUN
ap-918	25	34	-	-	PUNCT
ap-918	25	35	for	for	ADP
ap-918	25	36	-	-	PUNCT
ap-918	25	37	the	the	DET
ap-918	25	38	-	-	PUNCT
ap-918	25	39	hamiltonian	hamiltonian	ADJ
ap-918	25	40	”	"	PUNCT
ap-918	25	41	operator	operator	NOUN
ap-918	25	42	h	h	PROPN
ap-918	25	43	�	�	PROPN
ap-918	25	44	h†.	h†.	PROPN
ap-918	25	45	in	in	ADP
ap-918	25	46	what	what	PRON
ap-918	25	47	follows	follow	VERB
ap-918	25	48	we	we	PRON
ap-918	25	49	intend	intend	VERB
ap-918	25	50	to	to	PART
ap-918	25	51	return	return	VERB
ap-918	25	52	to	to	ADP
ap-918	25	53	the	the	DET
ap-918	25	54	problem	problem	NOUN
ap-918	25	55	of	of	ADP
ap-918	25	56	the	the	DET
ap-918	25	57	ambiguity	ambiguity	NOUN
ap-918	25	58	of	of	ADP
ap-918	25	59	the	the	DET
ap-918	25	60	assignment	assignment	NOUN
ap-918	25	61	of	of	ADP
ap-918	25	62	an	an	DET
ap-918	25	63	“	"	PUNCT
ap-918	25	64	optimal	optimal	ADJ
ap-918	25	65	”	"	PUNCT
ap-918	25	66	�	�	PROPN
ap-918	25	67	(	(	PUNCT
ap-918	25	68	physical	physical	NOUN
ap-918	25	69	)	)	PUNCT
ap-918	25	70	to	to	ADP
ap-918	25	71	a	a	DET
ap-918	25	72	given	give	VERB
ap-918	25	73	h	h	PROPN
ap-918	25	74	�	�	PROPN
ap-918	25	75	h†.	h†.	PROPN
ap-918	25	76	for	for	ADP
ap-918	25	77	the	the	DET
ap-918	25	78	sake	sake	NOUN
ap-918	25	79	of	of	ADP
ap-918	25	80	clarity	clarity	NOUN
ap-918	25	81	we	we	PRON
ap-918	25	82	shall	shall	AUX
ap-918	25	83	restrict	restrict	VERB
ap-918	25	84	our	our	PRON
ap-918	25	85	attention	attention	NOUN
ap-918	25	86	to	to	ADP
ap-918	25	87	the	the	DET
ap-918	25	88	effective	effective	ADJ
ap-918	25	89	-	-	PUNCT
ap-918	25	90	hamiltonian	hamiltonian	ADJ
ap-918	25	91	models	model	NOUN
ap-918	25	92	described	describe	VERB
ap-918	25	93	by	by	ADP
ap-918	25	94	the	the	DET
ap-918	25	95	following	follow	VERB
ap-918	25	96	real	real	ADJ
ap-918	25	97	matrices	matrix	NOUN
ap-918	25	98	of	of	ADP
ap-918	25	99	the	the	DET
ap-918	25	100	chain	chain	NOUN
ap-918	25	101	-	-	PUNCT
ap-918	25	102	model	model	NOUN
ap-918	25	103	form	form	NOUN
ap-918	25	104	,	,	PUNCT
ap-918	25	105	h	h	NOUN
ap-918	25	106	n	n	CCONJ
ap-918	25	107	g	g	NOUN
ap-918	25	108	g	g	PROPN
ap-918	25	109	n	n	ADP
ap-918	25	110	g	g	NOUN
ap-918	25	111	g	g	PROPN
ap-918	25	112	n	n	ADP
ap-918	25	113	g	g	PROPN
ap-918	25	114	g	g	PROPN
ap-918	25	115	n	n	CCONJ
ap-918	25	116	n	n	CCONJ
ap-918	25	117	(	(	PUNCT
ap-918	25	118	)	)	PUNCT
ap-918	25	119	�	�	PROPN
ap-918	25	120	�	�	PROPN
ap-918	25	121	�	�	PROPN
ap-918	25	122	�	�	PROPN
ap-918	25	123	�	�	PROPN
ap-918	25	124	�	�	PROPN
ap-918	25	125	�	�	PROPN
ap-918	25	126	�	�	PROPN
ap-918	25	127	1	1	NUM
ap-918	25	128	0	0	NUM
ap-918	25	129	0	0	NUM
ap-918	25	130	0	0	NUM
ap-918	25	131	3	3	NUM
ap-918	25	132	0	0	NUM
ap-918	25	133	0	0	NUM
ap-918	25	134	0	0	NUM
ap-918	25	135	5	5	NUM
ap-918	25	136	0	0	NUM
ap-918	25	137	0	0	NUM
ap-918	25	138	0	0	NUM
ap-918	25	139	1	1	NUM
ap-918	25	140	1	1	NUM
ap-918	25	141	2	2	NUM
ap-918	25	142	2	2	NUM
ap-918	25	143	3	3	NUM
ap-918	25	144	2	2	NUM
ap-918	25	145	�	�	PROPN
ap-918	25	146	�	�	PROPN
ap-918	25	147	�	�	PROPN
ap-918	25	148	�	�	PROPN
ap-918	25	149	�	�	PROPN
ap-918	25	150	�	�	PROPN
ap-918	25	151	�	�	PROPN
ap-918	25	152	�	�	PROPN
ap-918	25	153	�	�	PROPN
ap-918	25	154	�	�	PROPN
ap-918	25	155	3	3	NUM
ap-918	25	156	0	0	NUM
ap-918	25	157	0	0	NUM
ap-918	25	158	0	0	NUM
ap-918	25	159	1	1	NUM
ap-918	25	160	1	1	NUM
ap-918	25	161	1	1	NUM
ap-918	25	162	g	g	NOUN
ap-918	25	163	g	g	PROPN
ap-918	25	164	n	n	CCONJ
ap-918	25	165	�	�	PROPN
ap-918	25	166	�	�	PROPN
ap-918	25	167	�	�	PROPN
ap-918	25	168	�	�	PROPN
ap-918	25	169	�	�	PROPN
ap-918	25	170	�	�	PROPN
ap-918	25	171	�	�	PROPN
ap-918	25	172	�	�	PROPN
ap-918	25	173	�	�	PROPN
ap-918	25	174	�	�	PROPN
ap-918	25	175	�	�	PROPN
ap-918	25	176	�	�	PROPN
ap-918	25	177	�	�	PROPN
ap-918	25	178	�	�	PROPN
ap-918	25	179	�	�	PROPN
ap-918	25	180	�	�	PROPN
ap-918	25	181	�	�	PROPN
ap-918	25	182	�	�	PROPN
ap-918	25	183	�	�	PROPN
ap-918	25	184	�	�	PROPN
ap-918	25	185	.	.	PUNCT
ap-918	26	1	(	(	PUNCT
ap-918	26	2	3	3	X
ap-918	26	3	)	)	PUNCT
ap-918	26	4	complicated	complicated	ADJ
ap-918	26	5	as	as	SCONJ
ap-918	26	6	the	the	DET
ap-918	26	7	problem	problem	NOUN
ap-918	26	8	may	may	AUX
ap-918	26	9	look	look	VERB
ap-918	26	10	for	for	ADP
ap-918	26	11	the	the	DET
ap-918	26	12	general	general	ADJ
ap-918	26	13	n	n	CCONJ
ap-918	26	14	,	,	PUNCT
ap-918	26	15	we	we	PRON
ap-918	26	16	shall	shall	AUX
ap-918	26	17	recollect	recollect	VERB
ap-918	26	18	and	and	CCONJ
ap-918	26	19	summarize	summarize	VERB
ap-918	26	20	some	some	DET
ap-918	26	21	results	result	NOUN
ap-918	26	22	of	of	ADP
ap-918	26	23	refs	ref	NOUN
ap-918	26	24	.	.	PUNCT
ap-918	27	1	[	[	X
ap-918	27	2	15]–[20	15]–[20	X
ap-918	27	3	]	]	PUNCT
ap-918	27	4	and	and	CCONJ
ap-918	27	5	show	show	VERB
ap-918	27	6	that	that	PRON
ap-918	27	7	,	,	PUNCT
ap-918	27	8	and	and	CCONJ
ap-918	27	9	why	why	SCONJ
ap-918	27	10	,	,	PUNCT
ap-918	27	11	these	these	DET
ap-918	27	12	models	model	NOUN
ap-918	27	13	remain	remain	VERB
ap-918	27	14	tractable	tractable	ADJ
ap-918	27	15	,	,	PUNCT
ap-918	27	16	up	up	ADP
ap-918	27	17	to	to	ADP
ap-918	27	18	a	a	DET
ap-918	27	19	large	large	ADJ
ap-918	27	20	extent	extent	NOUN
ap-918	27	21	,	,	PUNCT
ap-918	27	22	by	by	ADP
ap-918	27	23	certain	certain	ADJ
ap-918	27	24	analytic	analytic	ADJ
ap-918	27	25	,	,	PUNCT
ap-918	27	26	perturbative	perturbative	ADJ
ap-918	27	27	or	or	CCONJ
ap-918	27	28	algebraic	algebraic	ADJ
ap-918	27	29	non	non	ADJ
ap-918	27	30	-	-	ADJ
ap-918	27	31	numerical	numerical	ADJ
ap-918	27	32	techniques	technique	NOUN
ap-918	27	33	.	.	PUNCT
ap-918	28	1	after	after	ADP
ap-918	28	2	a	a	DET
ap-918	28	3	compact	compact	ADJ
ap-918	28	4	and	and	CCONJ
ap-918	28	5	more	more	ADJ
ap-918	28	6	or	or	CCONJ
ap-918	28	7	less	less	ADJ
ap-918	28	8	self	self	NOUN
ap-918	28	9	-	-	PUNCT
ap-918	28	10	contained	contain	VERB
ap-918	28	11	review	review	NOUN
ap-918	28	12	of	of	ADP
ap-918	28	13	the	the	DET
ap-918	28	14	underlying	underlie	VERB
ap-918	28	15	physics	physics	NOUN
ap-918	28	16	in	in	ADP
ap-918	28	17	section	section	NOUN
ap-918	28	18	2	2	NUM
ap-918	28	19	we	we	PRON
ap-918	28	20	shall	shall	AUX
ap-918	28	21	formulate	formulate	VERB
ap-918	28	22	our	our	PRON
ap-918	28	23	project	project	NOUN
ap-918	28	24	in	in	ADP
ap-918	28	25	section	section	NOUN
ap-918	28	26	3	3	NUM
ap-918	28	27	.	.	PUNCT
ap-918	29	1	at	at	ADP
ap-918	29	2	the	the	DET
ap-918	29	3	first	first	ADJ
ap-918	29	4	few	few	ADJ
ap-918	29	5	lowest	low	ADJ
ap-918	29	6	dimensions	dimension	NOUN
ap-918	29	7	n	n	CCONJ
ap-918	29	8	,	,	PUNCT
ap-918	29	9	we	we	PRON
ap-918	29	10	shall	shall	AUX
ap-918	29	11	then	then	ADV
ap-918	29	12	derive	derive	VERB
ap-918	29	13	some	some	DET
ap-918	29	14	consequences	consequence	NOUN
ap-918	29	15	of	of	ADP
ap-918	29	16	the	the	DET
ap-918	29	17	implicit	implicit	ADJ
ap-918	29	18	secular	secular	ADJ
ap-918	29	19	-	-	PUNCT
ap-918	29	20	equation	equation	NOUN
ap-918	29	21	definitions	definition	NOUN
ap-918	29	22	of	of	ADP
ap-918	29	23	the	the	DET
ap-918	29	24	energy	energy	NOUN
ap-918	29	25	spectra	spectra	NOUN
ap-918	29	26	in	in	ADP
ap-918	29	27	the	the	DET
ap-918	29	28	respective	respective	ADJ
ap-918	29	29	sections	section	NOUN
ap-918	29	30	4–9	4–9	NUM
ap-918	29	31	,	,	PUNCT
ap-918	29	32	with	with	ADP
ap-918	29	33	particular	particular	ADJ
ap-918	29	34	emphasis	emphasis	NOUN
ap-918	29	35	on	on	ADP
ap-918	29	36	non	non	ADJ
ap-918	29	37	-	-	ADJ
ap-918	29	38	perturbative	perturbative	ADJ
ap-918	29	39	,	,	PUNCT
ap-918	29	40	strong	strong	ADJ
ap-918	29	41	-	-	PUNCT
ap-918	29	42	coupling	coupling	NOUN
ap-918	29	43	results	result	NOUN
ap-918	29	44	.	.	PUNCT
ap-918	30	1	sections	section	NOUN
ap-918	30	2	10–12	10–12	PROPN
ap-918	30	3	will	will	AUX
ap-918	30	4	finally	finally	ADV
ap-918	30	5	summarize	summarize	VERB
ap-918	30	6	our	our	PRON
ap-918	30	7	observations	observation	NOUN
ap-918	30	8	and	and	CCONJ
ap-918	30	9	,	,	PUNCT
ap-918	30	10	in	in	ADP
ap-918	30	11	a	a	DET
ap-918	30	12	climax	climax	NOUN
ap-918	30	13	of	of	ADP
ap-918	30	14	our	our	PRON
ap-918	30	15	present	present	ADJ
ap-918	30	16	message	message	NOUN
ap-918	30	17	,	,	PUNCT
ap-918	30	18	they	they	PRON
ap-918	30	19	enable	enable	VERB
ap-918	30	20	us	we	PRON
ap-918	30	21	to	to	PART
ap-918	30	22	conjecture	conjecture	VERB
ap-918	30	23	an	an	DET
ap-918	30	24	extrapolation	extrapolation	NOUN
ap-918	30	25	of	of	ADP
ap-918	30	26	some	some	PRON
ap-918	30	27	of	of	ADP
ap-918	30	28	the	the	DET
ap-918	30	29	formulae	formulae	NOUN
ap-918	30	30	to	to	ADP
ap-918	30	31	all	all	DET
ap-918	30	32	the	the	DET
ap-918	30	33	finite	finite	ADJ
ap-918	30	34	dimensions	dimension	NOUN
ap-918	30	35	.	.	PUNCT
ap-918	31	1	2	2	NUM
ap-918	31	2	�	�	PROPN
ap-918	31	3	�	�	PROPN
ap-918	31	4	-symmetry	-symmetry	NOUN
ap-918	31	5	of	of	ADP
ap-918	31	6	the	the	DET
ap-918	31	7	chain	chain	NOUN
ap-918	31	8	model	model	NOUN
ap-918	31	9	(	(	PUNCT
ap-918	31	10	3	3	NUM
ap-918	31	11	)	)	PUNCT
ap-918	31	12	once	once	SCONJ
ap-918	31	13	we	we	PRON
ap-918	31	14	assume	assume	VERB
ap-918	31	15	that	that	SCONJ
ap-918	31	16	all	all	DET
ap-918	31	17	the	the	DET
ap-918	31	18	matrix	matrix	NOUN
ap-918	31	19	elements	element	NOUN
ap-918	31	20	of	of	ADP
ap-918	31	21	h(n)remain	h(n)remain	NOUN
ap-918	31	22	real	real	ADJ
ap-918	31	23	we	we	PRON
ap-918	31	24	observe	observe	VERB
ap-918	31	25	that	that	SCONJ
ap-918	31	26	�	�	PROPN
ap-918	31	27	�	�	PROPN
ap-918	31	28	h	h	PROPN
ap-918	31	29	hn	hn	PROPN
ap-918	31	30	n	n	CCONJ
ap-918	31	31	(	(	PUNCT
ap-918	31	32	)	)	PUNCT
ap-918	31	33	†	†	PROPN
ap-918	31	34	(	(	PUNCT
ap-918	31	35	)	)	PUNCT
ap-918	31	36	,	,	PUNCT
ap-918	31	37	�	�	PROPN
ap-918	31	38	�	�	PROPN
ap-918	31	39	�	�	PROPN
ap-918	31	40	�	�	PROPN
ap-918	31	41	�	�	PROPN
ap-918	31	42	�	�	PROPN
ap-918	31	43	�	�	PROPN
ap-918	31	44	�	�	PROPN
ap-918	31	45	�	�	PROPN
ap-918	31	46	�	�	PROPN
ap-918	31	47	�	�	PROPN
ap-918	31	48	�	�	PROPN
ap-918	31	49	�	�	PROPN
ap-918	31	50	�	�	PROPN
ap-918	31	51	�	�	PROPN
ap-918	31	52	�	�	PROPN
ap-918	31	53	�	�	PROPN
ap-918	31	54	�	�	PROPN
ap-918	31	55	�	�	PROPN
ap-918	31	56	�	�	PROPN
ap-918	31	57	1	1	NUM
ap-918	31	58	0	0	NUM
ap-918	31	59	0	0	NUM
ap-918	31	60	1	1	NUM
ap-918	31	61	0	0	NUM
ap-918	31	62	0	0	NUM
ap-918	31	63	1	1	NUM
ap-918	31	64	0	0	NUM
ap-918	31	65	0	0	NUM
ap-918	31	66	1	1	NUM
ap-918	31	67	�	�	PROPN
ap-918	31	68	�	�	PROPN
ap-918	31	69	�	�	PROPN
ap-918	31	70	�	�	PROPN
ap-918	31	71	�	�	PROPN
ap-918	31	72	�	�	PROPN
ap-918	31	73	�	�	PROPN
ap-918	31	74	�	�	PROPN
ap-918	31	75	�	�	PROPN
ap-918	31	76	�	�	PROPN
ap-918	31	77	�	�	PROPN
ap-918	31	78	.	.	PUNCT
ap-918	32	1	(	(	PUNCT
ap-918	32	2	4	4	X
ap-918	32	3	)	)	PUNCT
ap-918	32	4	in	in	ADP
ap-918	32	5	the	the	DET
ap-918	32	6	literature	literature	NOUN
ap-918	32	7	the	the	DET
ap-918	32	8	latter	latter	ADJ
ap-918	32	9	formula	formula	NOUN
ap-918	32	10	is	be	AUX
ap-918	32	11	usually	usually	ADV
ap-918	32	12	called	call	VERB
ap-918	32	13	�	�	PROPN
ap-918	32	14	-pseudo	-pseudo	NOUN
ap-918	32	15	-	-	PUNCT
ap-918	32	16	hermiticity	hermiticity	NOUN
ap-918	33	1	[	[	X
ap-918	33	2	10]–[13	10]–[13	NUM
ap-918	33	3	]	]	X
ap-918	33	4	(	(	PUNCT
ap-918	33	5	or	or	CCONJ
ap-918	33	6	,	,	PUNCT
ap-918	33	7	in	in	ADP
ap-918	33	8	the	the	DET
ap-918	33	9	context	context	NOUN
ap-918	33	10	of	of	ADP
ap-918	33	11	physics	physics	NOUN
ap-918	33	12	[	[	X
ap-918	33	13	4	4	NUM
ap-918	33	14	,	,	PUNCT
ap-918	33	15	21	21	NUM
ap-918	33	16	]	]	PUNCT
ap-918	33	17	,	,	PUNCT
ap-918	33	18	�	�	PROPN
ap-918	33	19	�	�	PROPN
ap-918	33	20	-symmetry	-symmetry	NOUN
ap-918	33	21	)	)	PUNCT
ap-918	33	22	of	of	ADP
ap-918	33	23	h(n	h(n	PROPN
ap-918	33	24	)	)	PUNCT
ap-918	33	25	.	.	PUNCT
ap-918	34	1	due	due	ADP
ap-918	34	2	to	to	ADP
ap-918	34	3	the	the	DET
ap-918	34	4	exceptional	exceptional	ADJ
ap-918	34	5	simplicity	simplicity	NOUN
ap-918	34	6	of	of	ADP
ap-918	34	7	its	its	PRON
ap-918	34	8	“	"	PUNCT
ap-918	34	9	parity	parity	NOUN
ap-918	34	10	-	-	PUNCT
ap-918	34	11	reversal	reversal	NOUN
ap-918	34	12	”	"	PUNCT
ap-918	34	13	matrix	matrix	NOUN
ap-918	34	14	factor	factor	NOUN
ap-918	34	15	�	�	PROPN
ap-918	34	16	,	,	PUNCT
ap-918	34	17	the	the	DET
ap-918	34	18	validity	validity	NOUN
ap-918	34	19	of	of	ADP
ap-918	34	20	eq	eq	PROPN
ap-918	34	21	.	.	PUNCT
ap-918	35	1	(	(	PUNCT
ap-918	35	2	4	4	X
ap-918	35	3	)	)	PUNCT
ap-918	35	4	may	may	AUX
ap-918	35	5	also	also	ADV
ap-918	35	6	significantly	significantly	ADV
ap-918	35	7	simplify	simplify	VERB
ap-918	35	8	an	an	DET
ap-918	35	9	explicit	explicit	ADJ
ap-918	35	10	re	re	NOUN
ap-918	35	11	-	-	NOUN
ap-918	35	12	construction	construction	NOUN
ap-918	35	13	of	of	ADP
ap-918	35	14	�	�	PROPN
ap-918	35	15	(	(	PUNCT
ap-918	35	16	physical	physical	NOUN
ap-918	35	17	)	)	PUNCT
ap-918	35	18	,	,	PUNCT
ap-918	35	19	proceeding	proceed	VERB
ap-918	35	20	in	in	ADP
ap-918	35	21	three	three	NUM
ap-918	35	22	steps	step	NOUN
ap-918	35	23	.	.	PUNCT
ap-918	36	1	in	in	ADP
ap-918	36	2	the	the	DET
ap-918	36	3	first	first	ADJ
ap-918	36	4	step	step	NOUN
ap-918	36	5	we	we	PRON
ap-918	36	6	imagine	imagine	VERB
ap-918	36	7	that	that	SCONJ
ap-918	36	8	h(n	h(n	PROPN
ap-918	36	9	)	)	PUNCT
ap-918	36	10	is	be	AUX
ap-918	36	11	non	non	ADJ
ap-918	36	12	-	-	ADJ
ap-918	36	13	hermitian	hermitian	ADJ
ap-918	36	14	so	so	SCONJ
ap-918	36	15	that	that	SCONJ
ap-918	36	16	we	we	PRON
ap-918	36	17	may	may	AUX
ap-918	36	18	and	and	CCONJ
ap-918	36	19	have	have	VERB
ap-918	36	20	to	to	PART
ap-918	36	21	solve	solve	VERB
ap-918	36	22	not	not	PART
ap-918	36	23	only	only	ADV
ap-918	36	24	the	the	DET
ap-918	36	25	standard	standard	ADJ
ap-918	36	26	schrödinger	schrödinger	NOUN
ap-918	36	27	’s	’s	PART
ap-918	36	28	linear	linear	PROPN
ap-918	36	29	-	-	PUNCT
ap-918	36	30	algebraic	algebraic	ADJ
ap-918	36	31	eigenvalue	eigenvalue	NOUN
ap-918	36	32	problem	problem	NOUN
ap-918	36	33	h	h	NOUN
ap-918	36	34	n	n	CCONJ
ap-918	36	35	q	q	PROPN
ap-918	36	36	n	n	CCONJ
ap-918	36	37	n	n	CCONJ
ap-918	36	38	nn	nn	PROPN
ap-918	36	39	n	n	X
ap-918	36	40	(	(	PUNCT
ap-918	36	41	)	)	PUNCT
ap-918	36	42	,	,	PUNCT
ap-918	36	43	,	,	PUNCT
ap-918	36	44	,	,	PUNCT
ap-918	36	45	,	,	PUNCT
ap-918	36	46	�	�	PROPN
ap-918	36	47	�	�	PROPN
ap-918	36	48	1	1	NUM
ap-918	36	49	2	2	NUM
ap-918	36	50	�	�	NOUN
ap-918	36	51	(	(	PUNCT
ap-918	36	52	giving	give	VERB
ap-918	36	53	all	all	DET
ap-918	36	54	the	the	DET
ap-918	36	55	right	right	ADJ
ap-918	36	56	eigenvectors	eigenvector	NOUN
ap-918	36	57	n	n	X
ap-918	36	58	of	of	ADP
ap-918	36	59	h(n	h(n	PROPN
ap-918	36	60	)	)	PUNCT
ap-918	36	61	as	as	ADP
ap-918	36	62	its	its	PRON
ap-918	36	63	result	result	NOUN
ap-918	36	64	)	)	PUNCT
ap-918	36	65	but	but	CCONJ
ap-918	36	66	also	also	ADV
ap-918	36	67	the	the	DET
ap-918	36	68	parallel	parallel	NOUN
ap-918	36	69	,	,	PUNCT
ap-918	36	70	“	"	PUNCT
ap-918	36	71	left	leave	VERB
ap-918	36	72	-	-	PUNCT
ap-918	36	73	eigenvector	eigenvector	NOUN
ap-918	36	74	”	"	PUNCT
ap-918	36	75	linear	linear	ADJ
ap-918	36	76	algebraic	algebraic	ADJ
ap-918	36	77	problem	problem	NOUN
ap-918	36	78	at	at	ADP
ap-918	36	79	the	the	DET
ap-918	36	80	same	same	ADJ
ap-918	36	81	eigenvalue	eigenvalue	NOUN
ap-918	36	82	,	,	PUNCT
ap-918	36	83	m	m	VERB
ap-918	36	84	h	h	NOUN
ap-918	36	85	m	m	VERB
ap-918	36	86	q	q	NOUN
ap-918	36	87	m	m	PROPN
ap-918	36	88	nn	nn	PROPN
ap-918	36	89	m	m	PROPN
ap-918	36	90	(	(	PUNCT
ap-918	36	91	)	)	PUNCT
ap-918	36	92	,	,	PUNCT
ap-918	36	93	,	,	PUNCT
ap-918	36	94	,	,	PUNCT
ap-918	36	95	,	,	PUNCT
ap-918	36	96	�	�	PROPN
ap-918	36	97	�	�	PROPN
ap-918	36	98	1	1	NUM
ap-918	36	99	2	2	NUM
ap-918	36	100	�	�	PROPN
ap-918	36	101	(	(	PUNCT
ap-918	36	102	5	5	NUM
ap-918	36	103	)	)	PUNCT
ap-918	36	104	(	(	PUNCT
ap-918	36	105	note	note	VERB
ap-918	36	106	that	that	SCONJ
ap-918	36	107	n	n	PROPN
ap-918	36	108	n	n	CCONJ
ap-918	36	109	�	�	PROPN
ap-918	36	110	for	for	ADP
ap-918	36	111	the	the	DET
ap-918	36	112	generic	generic	ADJ
ap-918	36	113	h	h	NOUN
ap-918	36	114	hn	hn	PROPN
ap-918	36	115	n	n	X
ap-918	36	116	(	(	PUNCT
ap-918	36	117	)	)	PUNCT
ap-918	36	118	(	(	PUNCT
ap-918	36	119	)	)	PUNCT
ap-918	36	120	†	†	X
ap-918	36	121	�	�	PROPN
ap-918	36	122	)	)	PUNCT
ap-918	36	123	.	.	PUNCT
ap-918	37	1	in	in	ADP
ap-918	37	2	the	the	DET
ap-918	37	3	second	second	ADJ
ap-918	37	4	step	step	NOUN
ap-918	37	5	we	we	PRON
ap-918	37	6	assume	assume	VERB
ap-918	37	7	that	that	SCONJ
ap-918	37	8	the	the	DET
ap-918	37	9	eigenvalues	eigenvalue	NOUN
ap-918	37	10	remain	remain	VERB
ap-918	37	11	real	real	ADJ
ap-918	37	12	and	and	CCONJ
ap-918	37	13	non	non	ADJ
ap-918	37	14	-	-	ADJ
ap-918	37	15	degenerate	degenerate	ADJ
ap-918	37	16	(	(	PUNCT
ap-918	37	17	thus	thus	ADV
ap-918	37	18	,	,	PUNCT
ap-918	37	19	in	in	ADP
ap-918	37	20	our	our	PRON
ap-918	37	21	notation	notation	NOUN
ap-918	37	22	,	,	PUNCT
ap-918	37	23	all	all	PRON
ap-918	37	24	our	our	PRON
ap-918	37	25	coupling	coupling	NOUN
ap-918	37	26	constants	constant	NOUN
ap-918	37	27	gj	gj	NOUN
ap-918	37	28	stay	stay	VERB
ap-918	37	29	inside	inside	ADP
ap-918	37	30	a	a	DET
ap-918	37	31	real	real	ADJ
ap-918	37	32	quasi	quasi	ADJ
ap-918	37	33	-	-	ADJ
ap-918	37	34	hermiticity	hermiticity	ADJ
ap-918	37	35	domain	domain	NOUN
ap-918	37	36	�	�	PROPN
ap-918	37	37	)	)	PUNCT
ap-918	37	38	and	and	CCONJ
ap-918	37	39	recollect	recollect	VERB
ap-918	37	40	the	the	DET
ap-918	37	41	following	follow	VERB
ap-918	37	42	explicit	explicit	ADJ
ap-918	37	43	general	general	ADJ
ap-918	37	44	formula	formula	NOUN
ap-918	37	45	for	for	ADP
ap-918	37	46	the	the	DET
ap-918	37	47	metric	metric	ADJ
ap-918	37	48	,	,	PUNCT
ap-918	37	49	�	�	PROPN
ap-918	37	50	�	�	PROPN
ap-918	37	51	�	�	PROPN
ap-918	37	52	�	�	PROPN
ap-918	37	53	�	�	PROPN
ap-918	37	54	n	n	CCONJ
ap-918	37	55	nn	nn	PROPN
ap-918	37	56	n	n	CCONJ
ap-918	37	57	n	n	CCONJ
ap-918	37	58	n	n	CCONJ
ap-918	37	59	�	�	PROPN
ap-918	37	60	�	�	PROPN
ap-918	37	61	1	1	NUM
ap-918	37	62	0	0	NUM
ap-918	37	63	,	,	PUNCT
ap-918	37	64	(	(	PUNCT
ap-918	37	65	6	6	NUM
ap-918	37	66	)	)	PUNCT
ap-918	37	67	(	(	PUNCT
ap-918	37	68	cf	cf	NOUN
ap-918	37	69	.	.	NOUN
ap-918	37	70	,	,	PUNCT
ap-918	37	71	e.g.	e.g.	ADV
ap-918	37	72	,	,	PUNCT
ap-918	37	73	[	[	X
ap-918	37	74	10]–[13	10]–[13	NUM
ap-918	37	75	]	]	X
ap-918	37	76	)	)	PUNCT
ap-918	37	77	where	where	SCONJ
ap-918	37	78	any	any	DET
ap-918	37	79	choice	choice	NOUN
ap-918	37	80	of	of	ADP
ap-918	37	81	the	the	DET
ap-918	37	82	n	n	NUM
ap-918	37	83	-	-	PUNCT
ap-918	37	84	plet	plet	NOUN
ap-918	37	85	of	of	ADP
ap-918	37	86	the	the	DET
ap-918	37	87	real	real	ADJ
ap-918	37	88	parameters	parameter	NOUN
ap-918	37	89	�	�	NOUN
ap-918	37	90	n	n	PROPN
ap-918	37	91	defines	define	VERB
ap-918	37	92	an	an	DET
ap-918	37	93	eligible	eligible	ADJ
ap-918	37	94	hilbert	hilbert	NOUN
ap-918	37	95	space	space	PROPN
ap-918	37	96	�	�	PROPN
ap-918	37	97	(	(	PUNCT
ap-918	37	98	physical	physical	NOUN
ap-918	37	99	)	)	PUNCT
ap-918	37	100	equipped	equip	VERB
ap-918	37	101	with	with	ADP
ap-918	37	102	the	the	DET
ap-918	37	103	inner	inner	ADJ
ap-918	37	104	product	product	NOUN
ap-918	37	105	(	(	PUNCT
ap-918	37	106	1	1	NUM
ap-918	37	107	)	)	PUNCT
ap-918	37	108	.	.	PUNCT
ap-918	38	1	in	in	ADP
ap-918	38	2	the	the	DET
ap-918	38	3	final	final	ADJ
ap-918	38	4	step	step	NOUN
ap-918	38	5	we	we	PRON
ap-918	38	6	notice	notice	VERB
ap-918	38	7	that	that	SCONJ
ap-918	38	8	the	the	DET
ap-918	38	9	“	"	PUNCT
ap-918	38	10	additional	additional	ADJ
ap-918	38	11	”	"	PUNCT
ap-918	38	12	problem	problem	NOUN
ap-918	38	13	(	(	PUNCT
ap-918	38	14	5	5	X
ap-918	38	15	)	)	PUNCT
ap-918	38	16	can	can	AUX
ap-918	38	17	be	be	AUX
ap-918	38	18	re	re	VERB
ap-918	38	19	-	-	VERB
ap-918	38	20	written	write	VERB
ap-918	38	21	in	in	ADP
ap-918	38	22	the	the	DET
ap-918	38	23	equivalent	equivalent	ADJ
ap-918	38	24	form	form	NOUN
ap-918	38	25	h	h	NOUN
ap-918	38	26	n	n	CCONJ
ap-918	38	27	q	q	PROPN
ap-918	38	28	n	n	CCONJ
ap-918	38	29	n	n	CCONJ
ap-918	38	30	nn	nn	PROPN
ap-918	38	31	n	n	PROPN
ap-918	38	32	(	(	PUNCT
ap-918	38	33	)	)	PUNCT
ap-918	38	34	†	†	PROPN
ap-918	38	35	*	*	PUNCT
ap-918	38	36	,	,	PUNCT
ap-918	38	37	,	,	PUNCT
ap-918	38	38	,	,	PUNCT
ap-918	38	39	,	,	PUNCT
ap-918	38	40	�	�	PROPN
ap-918	38	41	�	�	PROPN
ap-918	38	42	1	1	NUM
ap-918	38	43	2	2	NUM
ap-918	38	44	�	�	NOUN
ap-918	38	45	.	.	PUNCT
ap-918	39	1	(	(	PUNCT
ap-918	39	2	7	7	X
ap-918	39	3	)	)	PUNCT
ap-918	39	4	obviously	obviously	ADV
ap-918	39	5	,	,	PUNCT
ap-918	39	6	its	its	PRON
ap-918	39	7	solution	solution	NOUN
ap-918	39	8	[	[	X
ap-918	39	9	i.e.	i.e.	X
ap-918	39	10	,	,	PUNCT
ap-918	39	11	a	a	DET
ap-918	39	12	key	key	ADJ
ap-918	39	13	assumption	assumption	NOUN
ap-918	39	14	of	of	ADP
ap-918	39	15	the	the	DET
ap-918	39	16	feasibility	feasibility	NOUN
ap-918	39	17	of	of	ADP
ap-918	39	18	an	an	DET
ap-918	39	19	evaluation	evaluation	NOUN
ap-918	39	20	of	of	ADP
ap-918	39	21	the	the	DET
ap-918	39	22	sum	sum	NOUN
ap-918	39	23	(	(	PUNCT
ap-918	39	24	6	6	NUM
ap-918	39	25	)	)	PUNCT
ap-918	39	26	]	]	PUNCT
ap-918	39	27	can	can	AUX
ap-918	39	28	be	be	AUX
ap-918	39	29	circumvented	circumvent	VERB
ap-918	39	30	because	because	SCONJ
ap-918	39	31	in	in	ADP
ap-918	39	32	the	the	DET
ap-918	39	33	light	light	NOUN
ap-918	39	34	of	of	ADP
ap-918	39	35	eq	eq	PROPN
ap-918	39	36	.	.	PUNCT
ap-918	40	1	(	(	PUNCT
ap-918	40	2	4	4	X
ap-918	40	3	)	)	PUNCT
ap-918	40	4	the	the	DET
ap-918	40	5	“	"	PUNCT
ap-918	40	6	unknown	unknown	ADJ
ap-918	40	7	”	"	PUNCT
ap-918	40	8	left	leave	VERB
ap-918	40	9	eigen	eigen	PROPN
ap-918	40	10	-	-	PUNCT
ap-918	40	11	ketkets	ketket	NOUN
ap-918	40	12	are	be	AUX
ap-918	40	13	all	all	PRON
ap-918	40	14	proportional	proportional	ADJ
ap-918	40	15	to	to	ADP
ap-918	40	16	the	the	DET
ap-918	40	17	“	"	PUNCT
ap-918	40	18	known	know	VERB
ap-918	40	19	”	"	PUNCT
ap-918	40	20	right	right	ADJ
ap-918	40	21	eigen	eigen	PROPN
ap-918	40	22	-	-	PUNCT
ap-918	40	23	kets	ket	NOUN
ap-918	40	24	multiplied	multiply	VERB
ap-918	40	25	by	by	ADP
ap-918	40	26	a	a	DET
ap-918	40	27	diagonal	diagonal	ADJ
ap-918	40	28	matrix	matrix	NOUN
ap-918	40	29	,	,	PUNCT
ap-918	40	30	n	n	CCONJ
ap-918	40	31	q	q	PROPN
ap-918	40	32	nn	nn	PROPN
ap-918	40	33	�	�	PROPN
ap-918	40	34	�	�	PROPN
ap-918	40	35	.	.	PUNCT
ap-918	41	1	here	here	ADV
ap-918	41	2	the	the	DET
ap-918	41	3	coefficients	coefficient	NOUN
ap-918	41	4	qn	qn	PROPN
ap-918	41	5	are	be	AUX
ap-918	41	6	arbitrary	arbitrary	ADJ
ap-918	41	7	.	.	PUNCT
ap-918	42	1	their	their	PRON
ap-918	42	2	variability	variability	NOUN
ap-918	42	3	represents	represent	VERB
ap-918	42	4	in	in	ADP
ap-918	42	5	fact	fact	NOUN
ap-918	42	6	the	the	DET
ap-918	42	7	freedom	freedom	NOUN
ap-918	42	8	in	in	ADP
ap-918	42	9	the	the	DET
ap-918	42	10	normalization	normalization	NOUN
ap-918	42	11	of	of	ADP
ap-918	42	12	our	our	PRON
ap-918	42	13	(	(	PUNCT
ap-918	42	14	as	as	SCONJ
ap-918	42	15	we	we	PRON
ap-918	42	16	can	can	AUX
ap-918	42	17	prove	prove	VERB
ap-918	42	18	,	,	PUNCT
ap-918	42	19	biorthogonal	biorthogonal	ADJ
ap-918	42	20	[	[	X
ap-918	42	21	7	7	NUM
ap-918	42	22	]	]	SYM
ap-918	42	23	)	)	PUNCT
ap-918	42	24	basis	basis	NOUN
ap-918	42	25	(	(	PUNCT
ap-918	42	26	composed	compose	VERB
ap-918	42	27	of	of	ADP
ap-918	42	28	the	the	DET
ap-918	42	29	left	left	ADJ
ap-918	42	30	and	and	CCONJ
ap-918	42	31	right	right	ADJ
ap-918	42	32	eigenvectors	eigenvector	NOUN
ap-918	42	33	of	of	ADP
ap-918	42	34	h(n	h(n	PROPN
ap-918	42	35	)	)	PUNCT
ap-918	42	36	)	)	PUNCT
ap-918	42	37	.	.	PUNCT
ap-918	43	1	in	in	ADP
ap-918	43	2	the	the	DET
ap-918	43	3	case	case	NOUN
ap-918	43	4	of	of	ADP
ap-918	43	5	the	the	DET
ap-918	43	6	real	real	ADJ
ap-918	43	7	spectrum	spectrum	NOUN
ap-918	43	8	qn	qn	NOUN
ap-918	43	9	one	one	NOUN
ap-918	43	10	can	can	AUX
ap-918	43	11	easily	easily	ADV
ap-918	43	12	fix	fix	VERB
ap-918	43	13	their	their	PRON
ap-918	43	14	choice	choice	NOUN
ap-918	43	15	in	in	ADP
ap-918	43	16	such	such	DET
ap-918	43	17	a	a	DET
ap-918	43	18	way	way	NOUN
ap-918	43	19	that	that	PRON
ap-918	43	20	the	the	DET
ap-918	43	21	inner	inner	ADJ
ap-918	43	22	product	product	NOUN
ap-918	43	23	becomes	become	VERB
ap-918	43	24	positive	positive	ADJ
ap-918	43	25	definite	definite	NOUN
ap-918	43	26	.	.	PUNCT
ap-918	44	1	whenever	whenever	SCONJ
ap-918	44	2	necessary	necessary	ADJ
ap-918	44	3	,	,	PUNCT
ap-918	44	4	we	we	PRON
ap-918	44	5	may	may	AUX
ap-918	44	6	even	even	ADV
ap-918	44	7	re	re	VERB
ap-918	44	8	-	-	VERB
ap-918	44	9	scale	scale	VERB
ap-918	44	10	their	their	PRON
ap-918	44	11	values	value	NOUN
ap-918	44	12	to	to	ADP
ap-918	44	13	�	�	PROPN
ap-918	44	14	1	1	NUM
ap-918	44	15	,	,	PUNCT
ap-918	44	16	–	–	PUNCT
ap-918	44	17	that	that	PRON
ap-918	44	18	’s	’	VERB
ap-918	44	19	why	why	SCONJ
ap-918	44	20	we	we	PRON
ap-918	44	21	called	call	VERB
ap-918	44	22	these	these	DET
ap-918	44	23	coefficients	coefficient	NOUN
ap-918	44	24	“	"	PUNCT
ap-918	44	25	quasiparities	quasiparitie	NOUN
ap-918	44	26	”	"	PUNCT
ap-918	44	27	in	in	ADP
ap-918	44	28	[	[	X
ap-918	44	29	7	7	NUM
ap-918	44	30	]	]	PUNCT
ap-918	44	31	.	.	PUNCT
ap-918	45	1	3	3	NUM
ap-918	45	2	the	the	DET
ap-918	45	3	extreme	extreme	ADJ
ap-918	45	4	exceptional	exceptional	ADJ
ap-918	45	5	points	point	NOUN
ap-918	45	6	secular	secular	ADJ
ap-918	45	7	-	-	PUNCT
ap-918	45	8	equation	equation	NOUN
ap-918	45	9	definitions	definition	NOUN
ap-918	45	10	�	�	PROPN
ap-918	45	11	�	�	PROPN
ap-918	45	12	det	det	PROPN
ap-918	45	13	(	(	PUNCT
ap-918	45	14	)	)	PUNCT
ap-918	45	15	h	h	NOUN
ap-918	45	16	e	e	NOUN
ap-918	45	17	in	in	ADP
ap-918	45	18	�	�	PROPN
ap-918	45	19	�	�	PROPN
ap-918	45	20	0	0	NUM
ap-918	45	21	of	of	ADP
ap-918	45	22	the	the	DET
ap-918	45	23	energies	energy	NOUN
ap-918	45	24	degenerate	degenerate	ADJ
ap-918	45	25	to	to	ADP
ap-918	45	26	the	the	DET
ap-918	45	27	polynomial	polynomial	ADJ
ap-918	45	28	equations	equation	NOUN
ap-918	45	29	in	in	ADP
ap-918	45	30	e2	e2	PROPN
ap-918	45	31	�	�	PROPN
ap-918	45	32	s	s	PART
ap-918	45	33	,	,	PUNCT
ap-918	45	34	s	s	VERB
ap-918	45	35	p	p	NOUN
ap-918	45	36	a	a	DET
ap-918	45	37	b	b	PROPN
ap-918	45	38	s	s	X
ap-918	45	39	p	p	NOUN
ap-918	45	40	a	a	PRON
ap-918	45	41	b	b	NOUN
ap-918	45	42	sj	sj	PROPN
ap-918	45	43	j	j	PROPN
ap-918	45	44	j	j	PROPN
ap-918	45	45	j	j	PROPN
ap-918	45	46	j	j	PROPN
ap-918	45	47	�	�	PROPN
ap-918	45	48	�	�	PROPN
ap-918	45	49	�	�	PROPN
ap-918	45	50	�	�	PROPN
ap-918	45	51	�	�	PROPN
ap-918	45	52	�	�	PROPN
ap-918	45	53	�	�	PROPN
ap-918	45	54	�	�	PROPN
ap-918	45	55	1	1	NUM
ap-918	45	56	1	1	NUM
ap-918	45	57	2	2	NUM
ap-918	45	58	2	2	NUM
ap-918	45	59	0	0	NUM
ap-918	45	60	(	(	PUNCT
ap-918	45	61	,	,	PUNCT
ap-918	45	62	,	,	PUNCT
ap-918	45	63	)	)	PUNCT
ap-918	45	64	(	(	PUNCT
ap-918	45	65	,	,	PUNCT
ap-918	45	66	,	,	PUNCT
ap-918	45	67	)	)	PUNCT
ap-918	45	68	�	�	PROPN
ap-918	45	69	�	�	PROPN
ap-918	45	70	�	�	PROPN
ap-918	45	71	.	.	PUNCT
ap-918	46	1	(	(	PUNCT
ap-918	46	2	8)	8)	NUM
ap-918	46	3	here	here	ADV
ap-918	46	4	we	we	PRON
ap-918	46	5	abbreviated	abbreviate	VERB
ap-918	46	6	a	a	DET
ap-918	46	7	g	g	PROPN
ap-918	46	8	j	j	PROPN
ap-918	46	9	�	�	PROPN
ap-918	46	10	2	2	NUM
ap-918	46	11	,	,	PUNCT
ap-918	46	12	b	b	PROPN
ap-918	46	13	g	g	PROPN
ap-918	46	14	j	j	PROPN
ap-918	46	15	�	�	PROPN
ap-918	46	16	�	�	PROPN
ap-918	46	17	1	1	NUM
ap-918	46	18	2	2	NUM
ap-918	46	19	,	,	PUNCT
ap-918	46	20	…	…	PUNCT
ap-918	46	21	,	,	PUNCT
ap-918	46	22	z	z	NOUN
ap-918	46	23	g	g	PROPN
ap-918	46	24	�	�	PROPN
ap-918	46	25	1	1	NUM
ap-918	46	26	2	2	NUM
ap-918	46	27	,	,	PUNCT
ap-918	46	28	with	with	ADP
ap-918	46	29	�	�	PROPN
ap-918	46	30	�	�	PROPN
ap-918	46	31	j	j	PROPN
ap-918	46	32	entier	entier	X
ap-918	46	33	n	n	X
ap-918	46	34	�	�	PROPN
ap-918	46	35	2	2	NUM
ap-918	46	36	.	.	PUNCT
ap-918	47	1	in	in	ADP
ap-918	47	2	the	the	DET
ap-918	47	3	j	j	NOUN
ap-918	47	4	-	-	ADJ
ap-918	47	5	dimensional	dimensional	ADJ
ap-918	47	6	space	space	NOUN
ap-918	47	7	of	of	ADP
ap-918	47	8	our	our	PRON
ap-918	47	9	new	new	ADJ
ap-918	47	10	,	,	PUNCT
ap-918	47	11	non	non	ADJ
ap-918	47	12	-	-	ADJ
ap-918	47	13	negative	negative	ADJ
ap-918	47	14	coupling	coupling	NOUN
ap-918	47	15	parameters	parameter	NOUN
ap-918	47	16	a	a	DET
ap-918	47	17	,	,	PUNCT
ap-918	47	18	b	b	NOUN
ap-918	47	19	,	,	PUNCT
ap-918	47	20	…	…	PUNCT
ap-918	47	21	,	,	PUNCT
ap-918	47	22	z	z	NOUN
ap-918	47	23	,	,	PUNCT
ap-918	47	24	all	all	DET
ap-918	47	25	the	the	DET
ap-918	47	26	spectrum	spectrum	NOUN
ap-918	47	27	of	of	ADP
ap-918	47	28	the	the	DET
ap-918	47	29	energies	energy	NOUN
ap-918	47	30	e	e	X
ap-918	47	31	s	s	PROPN
ap-918	47	32	�	�	PROPN
ap-918	47	33	�	�	PROPN
ap-918	47	34	remains	remain	VERB
ap-918	47	35	real	real	ADJ
ap-918	47	36	only	only	ADV
ap-918	47	37	inside	inside	ADP
ap-918	47	38	a	a	DET
ap-918	47	39	certain	certain	ADJ
ap-918	47	40	compact	compact	ADJ
ap-918	47	41	,	,	PUNCT
ap-918	47	42	hedgehog	hedgehog	ADJ
ap-918	47	43	-	-	PUNCT
ap-918	47	44	shaped	shape	VERB
ap-918	47	45	domain	domain	NOUN
ap-918	47	46	�	�	NOUN
ap-918	47	47	.	.	PUNCT
ap-918	48	1	our	our	PRON
ap-918	48	2	main	main	ADJ
ap-918	48	3	attention	attention	NOUN
ap-918	48	4	will	will	AUX
ap-918	48	5	be	be	AUX
ap-918	48	6	paid	pay	VERB
ap-918	48	7	to	to	ADP
ap-918	48	8	the	the	DET
ap-918	48	9	“	"	PUNCT
ap-918	48	10	spikes	spike	NOUN
ap-918	48	11	of	of	ADP
ap-918	48	12	the	the	DET
ap-918	48	13	hedgehog	hedgehog	NOUN
ap-918	48	14	”	"	PUNCT
ap-918	48	15	,	,	PUNCT
ap-918	48	16	i.e.	i.e.	X
ap-918	48	17	,	,	PUNCT
ap-918	48	18	to	to	ADP
ap-918	48	19	the	the	DET
ap-918	48	20	2	2	NUM
ap-918	48	21	j	j	NOUN
ap-918	48	22	points	point	NOUN
ap-918	48	23	where	where	SCONJ
ap-918	48	24	the	the	DET
ap-918	48	25	boundary	boundary	ADJ
ap-918	48	26	�	�	PROPN
ap-918	48	27	�	�	PROPN
ap-918	48	28	(	(	PUNCT
ap-918	48	29	)	)	PUNCT
ap-918	48	30	n	n	PRON
ap-918	48	31	forms	form	VERB
ap-918	48	32	certain	certain	ADJ
ap-918	48	33	protruded	protruded	ADJ
ap-918	48	34	spikes	spike	NOUN
ap-918	48	35	.	.	PUNCT
ap-918	49	1	in	in	ADP
ap-918	49	2	the	the	DET
ap-918	49	3	context	context	NOUN
ap-918	49	4	of	of	ADP
ap-918	49	5	physics	physics	NOUN
ap-918	49	6	these	these	DET
ap-918	49	7	spikes	spike	NOUN
ap-918	49	8	represent	represent	VERB
ap-918	49	9	the	the	DET
ap-918	49	10	strong	strong	ADJ
ap-918	49	11	-	-	PUNCT
ap-918	49	12	coupling	couple	VERB
ap-918	49	13	extremes	extreme	NOUN
ap-918	49	14	in	in	ADP
ap-918	49	15	the	the	DET
ap-918	49	16	set	set	PROPN
ap-918	49	17	�	�	PROPN
ap-918	49	18	�	�	PROPN
ap-918	49	19	(	(	PUNCT
ap-918	49	20	)	)	PUNCT
ap-918	49	21	n	n	PRON
ap-918	49	22	tractable	tractable	ADJ
ap-918	49	23	as	as	SCONJ
ap-918	49	24	kato	kato	PROPN
ap-918	49	25	’s	’s	PART
ap-918	49	26	exceptional	exceptional	ADJ
ap-918	49	27	points	point	NOUN
ap-918	49	28	occurring	occur	VERB
ap-918	49	29	in	in	ADP
ap-918	49	30	the	the	DET
ap-918	49	31	real	real	ADJ
ap-918	49	32	domain	domain	NOUN
ap-918	50	1	[	[	X
ap-918	50	2	22	22	NUM
ap-918	50	3	]	]	PUNCT
ap-918	50	4	.	.	PUNCT
ap-918	51	1	one	one	PRON
ap-918	51	2	can	can	AUX
ap-918	51	3	notice	notice	VERB
ap-918	51	4	that	that	SCONJ
ap-918	51	5	at	at	ADP
ap-918	51	6	all	all	DET
ap-918	51	7	these	these	DET
ap-918	51	8	extreme	extreme	ADJ
ap-918	51	9	exceptional	exceptional	ADJ
ap-918	51	10	points	point	NOUN
ap-918	51	11	(	(	PUNCT
ap-918	51	12	eeps	eep	NOUN
ap-918	51	13	)	)	PUNCT
ap-918	52	1	[	[	X
ap-918	52	2	with	with	ADP
ap-918	52	3	coordinates	coordinate	NOUN
ap-918	52	4	a(eep	a(eep	ADV
ap-918	52	5	)	)	PUNCT
ap-918	52	6	,	,	PUNCT
ap-918	52	7	b(eep	b(eep	PROPN
ap-918	52	8	)	)	PUNCT
ap-918	52	9	,	,	PUNCT
ap-918	52	10	…	…	PUNCT
ap-918	52	11	,	,	PUNCT
ap-918	52	12	z	z	PROPN
ap-918	52	13	(	(	PUNCT
ap-918	52	14	eep	eep	PROPN
ap-918	52	15	)	)	PUNCT
ap-918	52	16	]	]	PUNCT
ap-918	52	17	,	,	PUNCT
ap-918	52	18	all	all	DET
ap-918	52	19	the	the	DET
ap-918	52	20	energy	energy	NOUN
ap-918	52	21	levels	level	NOUN
ap-918	52	22	degenerate	degenerate	VERB
ap-918	52	23	to	to	ADP
ap-918	52	24	the	the	DET
ap-918	52	25	single	single	ADJ
ap-918	52	26	value	value	NOUN
ap-918	52	27	of	of	ADP
ap-918	52	28	e	e	PROPN
ap-918	52	29	(	(	PUNCT
ap-918	52	30	eep	eep	PROPN
ap-918	52	31	)	)	PUNCT
ap-918	52	32	�	�	PROPN
ap-918	52	33	0	0	NUM
ap-918	52	34	.	.	PUNCT
ap-918	53	1	this	this	PRON
ap-918	53	2	follows	follow	VERB
ap-918	53	3	from	from	ADP
ap-918	53	4	the	the	DET
ap-918	53	5	up	up	ADP
ap-918	53	6	-	-	PUNCT
ap-918	53	7	down	down	ADP
ap-918	53	8	symmetry	symmetry	NOUN
ap-918	53	9	of	of	ADP
ap-918	53	10	the	the	DET
ap-918	53	11	unperturbed	unperturbed	ADJ
ap-918	53	12	levels	level	NOUN
ap-918	53	13	as	as	ADV
ap-918	53	14	well	well	ADV
ap-918	53	15	as	as	ADP
ap-918	53	16	of	of	ADP
ap-918	53	17	their	their	PRON
ap-918	53	18	perturbations	perturbation	NOUN
ap-918	53	19	.	.	PUNCT
ap-918	54	1	as	as	ADP
ap-918	54	2	a	a	DET
ap-918	54	3	consequence	consequence	NOUN
ap-918	54	4	,	,	PUNCT
ap-918	54	5	the	the	DET
ap-918	54	6	eep	eep	NOUN
ap-918	54	7	secular	secular	ADJ
ap-918	54	8	equation	equation	NOUN
ap-918	54	9	acquires	acquire	VERB
ap-918	54	10	the	the	DET
ap-918	54	11	form	form	NOUN
ap-918	54	12	(	(	PUNCT
ap-918	54	13	e	e	X
ap-918	54	14	�	�	NOUN
ap-918	54	15	e	e	X
ap-918	54	16	(	(	PUNCT
ap-918	54	17	eep)	eep)	PROPN
ap-918	54	18	�	�	PROPN
ap-918	54	19	n	n	CCONJ
ap-918	54	20	�	�	PROPN
ap-918	54	21	0	0	PUNCT
ap-918	55	1	so	so	SCONJ
ap-918	55	2	that	that	SCONJ
ap-918	55	3	in	in	ADP
ap-918	55	4	the	the	DET
ap-918	55	5	light	light	NOUN
ap-918	55	6	of	of	ADP
ap-918	55	7	eq	eq	PROPN
ap-918	55	8	.	.	PUNCT
ap-918	55	9	(	(	PUNCT
ap-918	55	10	8)	8)	NUM
ap-918	55	11	,	,	PUNCT
ap-918	55	12	all	all	PRON
ap-918	55	13	of	of	ADP
ap-918	55	14	the	the	DET
ap-918	55	15	eep	eep	NOUN
ap-918	55	16	coupling	coupling	NOUN
ap-918	55	17	strengths	strength	NOUN
ap-918	55	18	will	will	AUX
ap-918	55	19	have	have	VERB
ap-918	55	20	to	to	PART
ap-918	55	21	satisfy	satisfy	VERB
ap-918	55	22	the	the	DET
ap-918	55	23	set	set	NOUN
ap-918	55	24	of	of	ADP
ap-918	55	25	the	the	DET
ap-918	55	26	following	follow	VERB
ap-918	55	27	j	j	NOUN
ap-918	55	28	-	-	NOUN
ap-918	55	29	plet	plet	NOUN
ap-918	55	30	of	of	ADP
ap-918	55	31	polynomial	polynomial	ADJ
ap-918	55	32	equations	equation	NOUN
ap-918	55	33	,	,	PUNCT
ap-918	55	34	10	10	NUM
ap-918	55	35	©	©	PROPN
ap-918	55	36	czech	czech	PROPN
ap-918	55	37	technical	technical	PROPN
ap-918	55	38	university	university	PROPN
ap-918	55	39	publishing	publishing	NOUN
ap-918	55	40	house	house	NOUN
ap-918	55	41	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-918	55	42	acta	acta	PROPN
ap-918	55	43	polytechnica	polytechnica	PROPN
ap-918	55	44	vol	vol	NOUN
ap-918	55	45	.	.	PUNCT
ap-918	56	1	47	47	NUM
ap-918	56	2	no	no	INTJ
ap-918	56	3	.	.	PUNCT
ap-918	57	1	2–3/2007	2–3/2007	NUM
ap-918	58	1	p	p	NOUN
ap-918	58	2	a	a	DET
ap-918	58	3	b	b	NOUN
ap-918	58	4	p	p	NOUN
ap-918	58	5	a	a	PRON
ap-918	58	6	b	b	PROPN
ap-918	58	7	p	p	X
ap-918	58	8	j	j	PROPN
ap-918	58	9	j	j	PROPN
ap-918	58	10	�	�	PROPN
ap-918	58	11	�	�	PROPN
ap-918	58	12	�	�	PROPN
ap-918	58	13	�	�	PROPN
ap-918	58	14	1	1	NUM
ap-918	58	15	2	2	NUM
ap-918	58	16	0	0	NUM
ap-918	58	17	0	0	NUM
ap-918	59	1	(	(	PUNCT
ap-918	59	2	,	,	PUNCT
ap-918	59	3	,	,	PUNCT
ap-918	59	4	)	)	PUNCT
ap-918	59	5	,	,	PUNCT
ap-918	59	6	(	(	PUNCT
ap-918	59	7	,	,	PUNCT
ap-918	59	8	,	,	PUNCT
ap-918	59	9	)	)	PUNCT
ap-918	59	10	,	,	PUNCT
ap-918	59	11	(	(	PUNCT
ap-918	59	12	)	)	PUNCT
ap-918	59	13	(	(	PUNCT
ap-918	59	14	)	)	PUNCT
ap-918	59	15	(	(	PUNCT
ap-918	59	16	)	)	PUNCT
ap-918	59	17	(	(	PUNCT
ap-918	59	18	)	)	PUNCT
ap-918	59	19	eep	eep	PROPN
ap-918	59	20	eep	eep	PROPN
ap-918	59	21	eep	eep	PROPN
ap-918	59	22	eep	eep	PROPN
ap-918	59	23	�	�	PROPN
ap-918	59	24	�	�	PROPN
ap-918	59	25	�	�	PROPN
ap-918	59	26	0	0	NUM
ap-918	59	27	0	0	NUM
ap-918	59	28	(	(	PUNCT
ap-918	59	29	,	,	PUNCT
ap-918	59	30	,	,	PUNCT
ap-918	59	31	)	)	PUNCT
ap-918	59	32	.	.	PUNCT
ap-918	60	1	(	(	PUNCT
ap-918	60	2	)	)	PUNCT
ap-918	60	3	(	(	PUNCT
ap-918	60	4	)	)	PUNCT
ap-918	60	5	a	a	DET
ap-918	60	6	beep	beep	NOUN
ap-918	60	7	eep	eep	PROPN
ap-918	60	8	�	�	PROPN
ap-918	60	9	�	�	PROPN
ap-918	60	10	(	(	PUNCT
ap-918	60	11	9	9	NUM
ap-918	60	12	)	)	PUNCT
ap-918	60	13	although	although	SCONJ
ap-918	60	14	the	the	DET
ap-918	60	15	simplicity	simplicity	NOUN
ap-918	60	16	of	of	ADP
ap-918	60	17	their	their	PRON
ap-918	60	18	solutions	solution	NOUN
ap-918	60	19	is	be	AUX
ap-918	60	20	amazing	amazing	ADJ
ap-918	60	21	,	,	PUNCT
ap-918	60	22	their	their	PRON
ap-918	60	23	derivation	derivation	NOUN
ap-918	60	24	is	be	AUX
ap-918	60	25	from	from	ADP
ap-918	60	26	easy	easy	ADJ
ap-918	60	27	.	.	PUNCT
ap-918	61	1	let	let	VERB
ap-918	61	2	us	we	PRON
ap-918	61	3	now	now	ADV
ap-918	61	4	study	study	VERB
ap-918	61	5	this	this	DET
ap-918	61	6	problem	problem	NOUN
ap-918	61	7	with	with	ADP
ap-918	61	8	a	a	DET
ap-918	61	9	step	step	NOUN
ap-918	61	10	-	-	PUNCT
ap-918	61	11	by	by	ADP
ap-918	61	12	-	-	PUNCT
ap-918	61	13	step	step	NOUN
ap-918	61	14	increase	increase	NOUN
ap-918	61	15	of	of	ADP
ap-918	61	16	the	the	DET
ap-918	61	17	dimension	dimension	NOUN
ap-918	61	18	.	.	PUNCT
ap-918	62	1	4	4	NUM
ap-918	62	2	two	two	NUM
ap-918	62	3	-	-	PUNCT
ap-918	62	4	dimensional	dimensional	ADJ
ap-918	62	5	model	model	NOUN
ap-918	62	6	of	of	ADP
ap-918	62	7	paper	paper	NOUN
ap-918	62	8	[	[	X
ap-918	62	9	15	15	NUM
ap-918	62	10	]	]	PUNCT
ap-918	62	11	in	in	ADP
ap-918	62	12	ref	ref	NOUN
ap-918	62	13	.	.	PUNCT
ap-918	63	1	[	[	X
ap-918	63	2	15	15	NUM
ap-918	63	3	]	]	PUNCT
ap-918	63	4	we	we	PRON
ap-918	63	5	paid	pay	VERB
ap-918	63	6	attention	attention	NOUN
ap-918	63	7	to	to	ADP
ap-918	63	8	all	all	DET
ap-918	63	9	the	the	DET
ap-918	63	10	�	�	PROPN
ap-918	63	11	�	�	NOUN
ap-918	63	12	-symmetric	-symmetric	ADJ
ap-918	63	13	real	real	ADJ
ap-918	63	14	matrices	matrix	NOUN
ap-918	63	15	h	h	NOUN
ap-918	64	1	c	c	NOUN
ap-918	64	2	a	a	DET
ap-918	64	3	a	a	DET
ap-918	64	4	c	c	NOUN
ap-918	65	1	[	[	X
ap-918	65	2	15	15	NUM
ap-918	65	3	]	]	X
ap-918	65	4	�	�	PROPN
ap-918	65	5	�	�	PROPN
ap-918	65	6	�	�	PROPN
ap-918	65	7	�	�	PROPN
ap-918	65	8	�	�	PROPN
ap-918	65	9	�	�	PROPN
ap-918	65	10	�	�	PROPN
ap-918	65	11	�	�	PROPN
ap-918	65	12	�	�	PROPN
ap-918	65	13	�	�	PROPN
ap-918	65	14	�	�	PROPN
ap-918	65	15	�	�	PROPN
ap-918	65	16	�	�	PROPN
ap-918	65	17	1	1	NUM
ap-918	65	18	1	1	NUM
ap-918	65	19	.	.	PUNCT
ap-918	66	1	(	(	PUNCT
ap-918	66	2	10	10	NUM
ap-918	66	3	)	)	PUNCT
ap-918	66	4	all	all	PRON
ap-918	66	5	of	of	ADP
ap-918	66	6	their	their	PRON
ap-918	66	7	eigenvalues	eigenvalue	NOUN
ap-918	66	8	(	(	PUNCT
ap-918	66	9	i.e.	i.e.	X
ap-918	66	10	,	,	PUNCT
ap-918	66	11	eigenenergies	eigenenergie	NOUN
ap-918	66	12	)	)	PUNCT
ap-918	66	13	are	be	AUX
ap-918	66	14	known	know	VERB
ap-918	66	15	in	in	ADP
ap-918	66	16	the	the	DET
ap-918	66	17	closed	closed	ADJ
ap-918	66	18	form	form	NOUN
ap-918	66	19	,	,	PUNCT
ap-918	66	20	e	e	PROPN
ap-918	66	21	c	c	PROPN
ap-918	66	22	a	a	DET
ap-918	66	23	�	�	PROPN
ap-918	66	24	�	�	PROPN
ap-918	66	25	�	�	PROPN
ap-918	66	26	�	�	PROPN
ap-918	66	27	(	(	PUNCT
ap-918	66	28	)	)	PUNCT
ap-918	66	29	1	1	NUM
ap-918	66	30	2	2	NUM
ap-918	66	31	2	2	NUM
ap-918	66	32	.	.	PUNCT
ap-918	67	1	once	once	SCONJ
ap-918	67	2	we	we	PRON
ap-918	67	3	decided	decide	VERB
ap-918	67	4	to	to	PART
ap-918	67	5	ignore	ignore	VERB
ap-918	67	6	the	the	DET
ap-918	67	7	“	"	PUNCT
ap-918	67	8	pathological	pathological	ADJ
ap-918	67	9	”	"	PUNCT
ap-918	67	10	case	case	NOUN
ap-918	67	11	with	with	ADP
ap-918	67	12	c	c	PROPN
ap-918	67	13	�	�	PROPN
ap-918	67	14	cpath	cpath	PROPN
ap-918	67	15	�	�	PROPN
ap-918	67	16	�	�	PROPN
ap-918	67	17	1	1	NUM
ap-918	67	18	(	(	PUNCT
ap-918	67	19	giving	give	VERB
ap-918	67	20	complex	complex	ADJ
ap-918	67	21	energies	energy	NOUN
ap-918	67	22	)	)	PUNCT
ap-918	67	23	,	,	PUNCT
ap-918	67	24	an	an	DET
ap-918	67	25	elementary	elementary	ADJ
ap-918	67	26	re	re	NOUN
ap-918	67	27	-	-	NOUN
ap-918	67	28	scaling	scaling	ADJ
ap-918	67	29	enabled	enable	VERB
ap-918	67	30	us	we	PRON
ap-918	67	31	to	to	PART
ap-918	67	32	put	put	VERB
ap-918	67	33	c	c	PROPN
ap-918	67	34	�	�	PROPN
ap-918	67	35	0	0	PUNCT
ap-918	67	36	and	and	CCONJ
ap-918	67	37	get	get	VERB
ap-918	67	38	the	the	DET
ap-918	67	39	first	first	ADJ
ap-918	67	40	nontrivial	nontrivial	ADJ
ap-918	67	41	one	one	NUM
ap-918	67	42	-	-	PUNCT
ap-918	67	43	parametric	parametric	NOUN
ap-918	67	44	version	version	NOUN
ap-918	67	45	of	of	ADP
ap-918	67	46	our	our	PRON
ap-918	67	47	present	present	ADJ
ap-918	67	48	class	class	NOUN
ap-918	67	49	of	of	ADP
ap-918	67	50	models	model	NOUN
ap-918	67	51	h(n	h(n	PROPN
ap-918	67	52	)	)	PUNCT
ap-918	67	53	.	.	PUNCT
ap-918	68	1	our	our	PRON
ap-918	68	2	main	main	ADJ
ap-918	68	3	result	result	NOUN
ap-918	68	4	was	be	AUX
ap-918	68	5	that	that	SCONJ
ap-918	68	6	one	one	PRON
ap-918	68	7	can	can	AUX
ap-918	68	8	guarantee	guarantee	VERB
ap-918	68	9	the	the	DET
ap-918	68	10	reality	reality	NOUN
ap-918	68	11	of	of	ADP
ap-918	68	12	the	the	DET
ap-918	68	13	spectrum	spectrum	NOUN
ap-918	68	14	in	in	ADP
ap-918	68	15	an	an	DET
ap-918	68	16	interval	interval	NOUN
ap-918	68	17	�	�	NOUN
ap-918	68	18	(	(	PUNCT
ap-918	68	19	2	2	NUM
ap-918	68	20	)	)	PUNCT
ap-918	68	21	�	�	PROPN
ap-918	68	22	(	(	PUNCT
ap-918	68	23	�	�	PROPN
ap-918	68	24	1	1	NUM
ap-918	68	25	,	,	PUNCT
ap-918	68	26	1	1	NUM
ap-918	68	27	)	)	PUNCT
ap-918	68	28	of	of	ADP
ap-918	68	29	our	our	PRON
ap-918	68	30	couplings	coupling	NOUN
ap-918	68	31	a	a	DET
ap-918	68	32	�	�	PROPN
ap-918	68	33	cos	cos	PROPN
ap-918	68	34	with	with	PROPN
ap-918	68	35	,	,	PUNCT
ap-918	68	36	say	say	INTJ
ap-918	68	37	,	,	PUNCT
ap-918	68	38	�	�	PROPN
ap-918	68	39	(	(	PUNCT
ap-918	68	40	,	,	PUNCT
ap-918	68	41	)	)	PUNCT
ap-918	68	42	0	0	NUM
ap-918	68	43	.	.	PUNCT
ap-918	69	1	we	we	PRON
ap-918	69	2	also	also	ADV
ap-918	69	3	discussed	discuss	VERB
ap-918	69	4	several	several	ADJ
ap-918	69	5	eligible	eligible	ADJ
ap-918	69	6	ways	way	NOUN
ap-918	69	7	of	of	ADP
ap-918	69	8	suppressing	suppress	VERB
ap-918	69	9	the	the	DET
ap-918	69	10	ambiguity	ambiguity	NOUN
ap-918	69	11	of	of	ADP
ap-918	69	12	the	the	DET
ap-918	69	13	metric	metric	NOUN
ap-918	69	14	.	.	PUNCT
ap-918	70	1	this	this	DET
ap-918	70	2	task	task	NOUN
ap-918	70	3	proved	prove	VERB
ap-918	70	4	easily	easily	ADV
ap-918	70	5	achieved	achieve	VERB
ap-918	70	6	:	:	PUNCT
ap-918	70	7	we	we	PRON
ap-918	70	8	simply	simply	ADV
ap-918	70	9	extracted	extract	VERB
ap-918	70	10	the	the	DET
ap-918	70	11	general	general	ADJ
ap-918	70	12	metric	metric	NOUN
ap-918	70	13	from	from	ADP
ap-918	70	14	eq	eq	PROPN
ap-918	70	15	.	.	PUNCT
ap-918	71	1	(	(	PUNCT
ap-918	71	2	2	2	NUM
ap-918	71	3	)	)	PUNCT
ap-918	71	4	via	via	ADP
ap-918	71	5	a	a	DET
ap-918	71	6	real	real	ADJ
ap-918	71	7	,	,	PUNCT
ap-918	71	8	hermitian	hermitian	ADJ
ap-918	71	9	ansatz	ansatz	ADJ
ap-918	72	1	q	q	PROPN
ap-918	72	2	t	t	PROPN
ap-918	72	3	t	t	PROPN
ap-918	72	4	t	t	PROPN
ap-918	72	5	t	t	PROPN
ap-918	72	6	�	�	PROPN
ap-918	72	7	�	�	PROPN
ap-918	72	8	�	�	PROPN
ap-918	72	9	�	�	PROPN
ap-918	72	10	�	�	PROPN
ap-918	72	11	�	�	PROPN
ap-918	72	12	�	�	PROPN
ap-918	72	13	�	�	PROPN
ap-918	72	14	�	�	PROPN
ap-918	72	15	1	1	NUM
ap-918	72	16	2	2	NUM
ap-918	72	17	2	2	NUM
ap-918	72	18	3	3	NUM
ap-918	72	19	.	.	PUNCT
ap-918	73	1	this	this	PRON
ap-918	73	2	enabled	enable	VERB
ap-918	73	3	us	we	PRON
ap-918	73	4	to	to	PART
ap-918	73	5	reduce	reduce	VERB
ap-918	73	6	all	all	DET
ap-918	73	7	the	the	DET
ap-918	73	8	construction	construction	NOUN
ap-918	73	9	to	to	ADP
ap-918	73	10	the	the	DET
ap-918	73	11	single	single	ADJ
ap-918	73	12	condition	condition	NOUN
ap-918	73	13	2	2	NUM
ap-918	73	14	03	03	NUM
ap-918	73	15	1	1	NUM
ap-918	73	16	2	2	NUM
ap-918	73	17	t	t	NOUN
ap-918	73	18	t	t	NOUN
ap-918	73	19	t	t	PROPN
ap-918	73	20	�	�	PROPN
ap-918	73	21	�	�	PROPN
ap-918	73	22	�	�	PROPN
ap-918	73	23	(	(	PUNCT
ap-918	73	24	)	)	PUNCT
ap-918	74	1	cos	cos	PROPN
ap-918	74	2	.	.	PUNCT
ap-918	75	1	two	two	NUM
ap-918	75	2	free	free	ADJ
ap-918	75	3	parameters	parameter	NOUN
ap-918	75	4	survived	survive	VERB
ap-918	75	5	and	and	CCONJ
ap-918	75	6	the	the	DET
ap-918	75	7	latter	latter	ADJ
ap-918	75	8	relation	relation	NOUN
ap-918	75	9	defined	define	VERB
ap-918	75	10	the	the	DET
ap-918	75	11	value	value	NOUN
ap-918	75	12	of	of	ADP
ap-918	75	13	t3	t3	PROPN
ap-918	75	14	.	.	PUNCT
ap-918	76	1	once	once	SCONJ
ap-918	76	2	we	we	PRON
ap-918	76	3	set	set	VERB
ap-918	76	4	t	t	NOUN
ap-918	76	5	z1	z1	NUM
ap-918	76	6	1	1	NUM
ap-918	76	7	�	�	PROPN
ap-918	76	8	�	�	PROPN
ap-918	76	9	(	(	PUNCT
ap-918	76	10	)	)	PUNCT
ap-918	76	11	�	�	PROPN
ap-918	76	12	and	and	CCONJ
ap-918	76	13	t	t	PROPN
ap-918	76	14	z2	z2	PROPN
ap-918	76	15	1	1	NUM
ap-918	76	16	�	�	PROPN
ap-918	76	17	�	�	PROPN
ap-918	76	18	(	(	PUNCT
ap-918	76	19	)	)	PUNCT
ap-918	76	20	�	�	PROPN
ap-918	76	21	we	we	PRON
ap-918	76	22	have	have	VERB
ap-918	76	23	t	t	PROPN
ap-918	76	24	z3	z3	PROPN
ap-918	76	25	�	�	PROPN
ap-918	76	26	cos	cos	PROPN
ap-918	76	27	as	as	ADV
ap-918	76	28	well	well	ADV
ap-918	76	29	as	as	ADP
ap-918	76	30	the	the	DET
ap-918	76	31	overall	overall	ADJ
ap-918	76	32	-	-	PUNCT
ap-918	76	33	scaling	scaling	ADJ
ap-918	76	34	interpretation	interpretation	NOUN
ap-918	76	35	of	of	ADP
ap-918	76	36	z	z	PROPN
ap-918	77	1	[	[	X
ap-918	77	2	16	16	NUM
ap-918	77	3	]	]	PUNCT
ap-918	77	4	.	.	PUNCT
ap-918	78	1	once	once	SCONJ
ap-918	78	2	we	we	PRON
ap-918	78	3	had	have	AUX
ap-918	78	4	constructed	construct	VERB
ap-918	78	5	the	the	DET
ap-918	78	6	metric	metric	ADJ
ap-918	78	7	�	�	PROPN
ap-918	78	8	compatible	compatible	ADJ
ap-918	78	9	with	with	ADP
ap-918	78	10	eq	eq	NOUN
ap-918	78	11	.	.	PUNCT
ap-918	79	1	(	(	PUNCT
ap-918	79	2	2	2	NUM
ap-918	79	3	)	)	PUNCT
ap-918	79	4	,	,	PUNCT
ap-918	79	5	it	it	PRON
ap-918	79	6	remained	remain	VERB
ap-918	79	7	for	for	SCONJ
ap-918	79	8	us	we	PRON
ap-918	79	9	to	to	PART
ap-918	79	10	guarantee	guarantee	VERB
ap-918	79	11	that	that	SCONJ
ap-918	79	12	our	our	PRON
ap-918	79	13	�	�	PROPN
ap-918	79	14	was	be	AUX
ap-918	79	15	positive	positive	ADJ
ap-918	79	16	definite	definite	ADJ
ap-918	79	17	.	.	PUNCT
ap-918	80	1	fortunately	fortunately	ADV
ap-918	80	2	,	,	PUNCT
ap-918	80	3	both	both	CCONJ
ap-918	80	4	the	the	DET
ap-918	80	5	eigenvalues	eigenvalue	NOUN
ap-918	80	6	of	of	ADP
ap-918	80	7	�	�	PROPN
ap-918	80	8	are	be	AUX
ap-918	80	9	available	available	ADJ
ap-918	80	10	in	in	ADP
ap-918	80	11	closed	closed	ADJ
ap-918	80	12	form	form	NOUN
ap-918	80	13	,	,	PUNCT
ap-918	80	14	�	�	PROPN
ap-918	80	15	�	�	PROPN
ap-918	80	16	�	�	PROPN
ap-918	80	17	�	�	PROPN
ap-918	80	18	�	�	PROPN
ap-918	80	19	�	�	PROPN
ap-918	80	20	z	z	PROPN
ap-918	80	21	(	(	PUNCT
ap-918	80	22	cos1	cos1	PROPN
ap-918	80	23	2	2	NUM
ap-918	80	24	2	2	NUM
ap-918	80	25	so	so	SCONJ
ap-918	80	26	that	that	SCONJ
ap-918	80	27	the	the	DET
ap-918	80	28	derivation	derivation	NOUN
ap-918	80	29	of	of	ADP
ap-918	80	30	the	the	DET
ap-918	80	31	final	final	ADJ
ap-918	80	32	constraint	constraint	NOUN
ap-918	80	33	�	�	PROPN
ap-918	80	34	2	2	NUM
ap-918	80	35	2	2	NUM
ap-918	80	36	�	�	PROPN
ap-918	80	37	sin	sin	NOUN
ap-918	80	38	is	be	AUX
ap-918	80	39	trivial	trivial	ADJ
ap-918	80	40	.	.	PUNCT
ap-918	81	1	5	5	NUM
ap-918	81	2	three	three	NUM
ap-918	81	3	-	-	PUNCT
ap-918	81	4	dimensional	dimensional	ADJ
ap-918	81	5	model	model	NOUN
ap-918	81	6	of	of	ADP
ap-918	81	7	paper	paper	NOUN
ap-918	81	8	[	[	X
ap-918	81	9	17	17	NUM
ap-918	81	10	]	]	PUNCT
ap-918	81	11	out	out	ADP
ap-918	81	12	of	of	ADP
ap-918	81	13	the	the	DET
ap-918	81	14	generic	generic	ADJ
ap-918	81	15	three	three	NUM
ap-918	81	16	-	-	PUNCT
ap-918	81	17	by	by	ADP
ap-918	81	18	-	-	PUNCT
ap-918	81	19	three	three	NUM
ap-918	81	20	model	model	NOUN
ap-918	81	21	of	of	ADP
ap-918	81	22	ref	ref	NOUN
ap-918	81	23	.	.	PUNCT
ap-918	82	1	[	[	X
ap-918	82	2	17	17	NUM
ap-918	82	3	]	]	PUNCT
ap-918	82	4	with	with	ADP
ap-918	82	5	two	two	NUM
ap-918	82	6	free	free	ADJ
ap-918	82	7	parameters	parameter	NOUN
ap-918	82	8	,	,	PUNCT
ap-918	82	9	h	h	NOUN
ap-918	82	10	a	a	DET
ap-918	82	11	a	a	DET
ap-918	82	12	a	a	DET
ap-918	82	13	a	a	DET
ap-918	82	14	[	[	X
ap-918	82	15	17	17	NUM
ap-918	82	16	]	]	X
ap-918	82	17	�	�	PROPN
ap-918	82	18	�	�	PROPN
ap-918	82	19	�	�	PROPN
ap-918	82	20	�	�	PROPN
ap-918	82	21	�	�	PROPN
ap-918	82	22	�	�	PROPN
ap-918	82	23	�	�	PROPN
ap-918	82	24	�	�	PROPN
ap-918	82	25	�	�	PROPN
ap-918	82	26	�	�	PROPN
ap-918	82	27	�	�	PROPN
ap-918	82	28	�	�	PROPN
ap-918	82	29	�	�	PROPN
ap-918	82	30	�	�	PROPN
ap-918	82	31	�	�	PROPN
ap-918	82	32	�	�	PROPN
ap-918	82	33	2	2	NUM
ap-918	82	34	�	�	PROPN
ap-918	82	35	�	�	PROPN
ap-918	82	36	�	�	PROPN
ap-918	82	37	�	�	PROPN
ap-918	82	38	�	�	PROPN
ap-918	82	39	�	�	PROPN
ap-918	82	40	�	�	PROPN
ap-918	82	41	�	�	PROPN
ap-918	82	42	the	the	DET
ap-918	82	43	present	present	ADJ
ap-918	82	44	one	one	NUM
ap-918	82	45	-	-	PUNCT
ap-918	82	46	parametric	parametric	ADJ
ap-918	82	47	chain	chain	NOUN
ap-918	82	48	model	model	NOUN
ap-918	82	49	h(3	h(3	PROPN
ap-918	82	50	)	)	PUNCT
ap-918	82	51	is	be	AUX
ap-918	82	52	obtained	obtain	VERB
ap-918	82	53	in	in	ADP
ap-918	82	54	the	the	DET
ap-918	82	55	limit	limit	NOUN
ap-918	82	56	�	�	PROPN
ap-918	82	57	�	�	PROPN
ap-918	82	58	0	0	NUM
ap-918	82	59	.	.	PUNCT
ap-918	83	1	thus	thus	ADV
ap-918	83	2	,	,	PUNCT
ap-918	83	3	the	the	DET
ap-918	83	4	determination	determination	NOUN
ap-918	83	5	of	of	ADP
ap-918	83	6	the	the	DET
ap-918	83	7	interval	interval	NOUN
ap-918	83	8	of	of	ADP
ap-918	83	9	the	the	DET
ap-918	83	10	quasi	quasi	ADJ
ap-918	83	11	-	-	ADJ
ap-918	83	12	hermiticity	hermiticity	ADJ
ap-918	83	13	�	�	PROPN
ap-918	83	14	(	(	PUNCT
ap-918	83	15	)	)	PUNCT
ap-918	83	16	(	(	PUNCT
ap-918	83	17	,	,	PUNCT
ap-918	83	18	)	)	PUNCT
ap-918	83	19	3	3	NUM
ap-918	83	20	2	2	NUM
ap-918	83	21	2	2	NUM
ap-918	83	22	�	�	PROPN
ap-918	83	23	�	�	PROPN
ap-918	83	24	is	be	AUX
ap-918	83	25	trivial	trivial	ADJ
ap-918	83	26	since	since	SCONJ
ap-918	83	27	the	the	DET
ap-918	83	28	secular	secular	ADJ
ap-918	83	29	equation	equation	NOUN
ap-918	83	30	�	�	PROPN
ap-918	83	31	�	�	PROPN
ap-918	83	32	�	�	PROPN
ap-918	83	33	�	�	PROPN
ap-918	83	34	e	e	PROPN
ap-918	83	35	a	a	DET
ap-918	83	36	e3	e3	NOUN
ap-918	83	37	24	24	NUM
ap-918	83	38	2	2	NUM
ap-918	83	39	0	0	NUM
ap-918	83	40	(	(	PUNCT
ap-918	83	41	)	)	PUNCT
ap-918	83	42	is	be	AUX
ap-918	83	43	exactly	exactly	ADV
ap-918	83	44	solvable	solvable	ADJ
ap-918	83	45	in	in	ADP
ap-918	83	46	closed	closed	ADJ
ap-918	83	47	form	form	NOUN
ap-918	83	48	.	.	PUNCT
ap-918	84	1	6	6	NUM
ap-918	84	2	four	four	NUM
ap-918	84	3	-	-	PUNCT
ap-918	84	4	dimensional	dimensional	ADJ
ap-918	84	5	model	model	NOUN
ap-918	84	6	of	of	ADP
ap-918	84	7	paper	paper	NOUN
ap-918	84	8	[	[	X
ap-918	84	9	18	18	NUM
ap-918	84	10	]	]	PUNCT
ap-918	84	11	the	the	DET
ap-918	84	12	four	four	NUM
ap-918	84	13	-	-	PUNCT
ap-918	84	14	dimensional	dimensional	ADJ
ap-918	84	15	model	model	NOUN
ap-918	84	16	of	of	ADP
ap-918	84	17	paper	paper	NOUN
ap-918	84	18	[	[	X
ap-918	84	19	18	18	NUM
ap-918	84	20	]	]	PUNCT
ap-918	84	21	contains	contain	VERB
ap-918	84	22	four	four	NUM
ap-918	84	23	free	free	ADJ
ap-918	84	24	real	real	ADJ
ap-918	84	25	parameters	parameter	NOUN
ap-918	84	26	,	,	PUNCT
ap-918	84	27	but	but	CCONJ
ap-918	84	28	it	it	PRON
ap-918	84	29	contains	contain	VERB
ap-918	84	30	our	our	PRON
ap-918	84	31	present	present	ADJ
ap-918	84	32	two	two	NUM
ap-918	84	33	-	-	PUNCT
ap-918	84	34	parametric	parametric	ADJ
ap-918	84	35	chain	chain	NOUN
ap-918	84	36	model	model	NOUN
ap-918	84	37	with	with	ADP
ap-918	84	38	n	n	X
ap-918	84	39	�	�	PROPN
ap-918	84	40	3	3	NUM
ap-918	84	41	as	as	ADP
ap-918	84	42	a	a	DET
ap-918	84	43	special	special	ADJ
ap-918	84	44	case	case	NOUN
ap-918	84	45	.	.	PUNCT
ap-918	85	1	such	such	DET
ap-918	85	2	a	a	DET
ap-918	85	3	reduction	reduction	NOUN
ap-918	85	4	simplifies	simplifie	NOUN
ap-918	85	5	the	the	DET
ap-918	85	6	n	n	PROPN
ap-918	85	7	�	�	PROPN
ap-918	85	8	4	4	NUM
ap-918	85	9	secular	secular	ADJ
ap-918	85	10	equation	equation	NOUN
ap-918	85	11	det	det	NOUN
ap-918	85	12	3	3	NUM
ap-918	85	13	0	0	NUM
ap-918	85	14	0	0	NUM
ap-918	85	15	1	1	NUM
ap-918	85	16	0	0	NUM
ap-918	85	17	0	0	NUM
ap-918	85	18	1	1	NUM
ap-918	85	19	0	0	NUM
ap-918	85	20	0	0	NUM
ap-918	85	21	3	3	NUM
ap-918	85	22	0	0	NUM
ap-918	85	23	�	�	PROPN
ap-918	85	24	�	�	PROPN
ap-918	85	25	�	�	PROPN
ap-918	85	26	�	�	PROPN
ap-918	85	27	�	�	PROPN
ap-918	85	28	�	�	PROPN
ap-918	85	29	�	�	PROPN
ap-918	85	30	�	�	PROPN
ap-918	85	31	�	�	PROPN
ap-918	85	32	�	�	PROPN
ap-918	85	33	�	�	PROPN
ap-918	85	34	�	�	PROPN
ap-918	85	35	�	�	PROPN
ap-918	85	36	�	�	PROPN
ap-918	85	37	�	�	PROPN
ap-918	85	38	�	�	PROPN
ap-918	85	39	�	�	PROPN
ap-918	85	40	�	�	PROPN
ap-918	85	41	�	�	PROPN
ap-918	85	42	�	�	PROPN
ap-918	85	43	�	�	PROPN
ap-918	85	44	e	e	PROPN
ap-918	85	45	b	b	PROPN
ap-918	85	46	b	b	PROPN
ap-918	85	47	e	e	PROPN
ap-918	85	48	a	a	DET
ap-918	85	49	a	a	DET
ap-918	85	50	e	e	NOUN
ap-918	85	51	b	b	PROPN
ap-918	85	52	b	b	PROPN
ap-918	85	53	e	e	PROPN
ap-918	85	54	and	and	CCONJ
ap-918	85	55	makes	make	VERB
ap-918	85	56	it	it	PRON
ap-918	85	57	equivalent	equivalent	ADJ
ap-918	85	58	to	to	ADP
ap-918	85	59	the	the	DET
ap-918	85	60	quadratic	quadratic	ADJ
ap-918	85	61	equation	equation	NOUN
ap-918	85	62	for	for	ADP
ap-918	85	63	s	s	PROPN
ap-918	85	64	�	�	PROPN
ap-918	85	65	e2	e2	PROPN
ap-918	85	66	,	,	PUNCT
ap-918	85	67	s	s	PROPN
ap-918	85	68	b	b	NOUN
ap-918	85	69	a	a	DET
ap-918	85	70	s	s	NOUN
ap-918	85	71	b	b	NOUN
ap-918	85	72	a	a	DET
ap-918	85	73	b2	b2	NOUN
ap-918	85	74	2	2	NUM
ap-918	85	75	2	2	NUM
ap-918	85	76	2	2	NUM
ap-918	85	77	2	2	NUM
ap-918	85	78	410	410	NUM
ap-918	85	79	2	2	NUM
ap-918	85	80	9	9	NUM
ap-918	85	81	6	6	NUM
ap-918	85	82	9	9	NUM
ap-918	85	83	0	0	NUM
ap-918	85	84	�	�	PROPN
ap-918	85	85	�	�	PROPN
ap-918	85	86	�	�	PROPN
ap-918	85	87	�	�	PROPN
ap-918	85	88	�	�	PROPN
ap-918	85	89	�	�	PROPN
ap-918	85	90	�	�	PROPN
ap-918	85	91	�	�	PROPN
ap-918	85	92	�	�	PROPN
ap-918	85	93	(	(	PUNCT
ap-918	85	94	)	)	PUNCT
ap-918	85	95	solvable	solvable	ADJ
ap-918	85	96	in	in	ADP
ap-918	85	97	closed	closed	ADJ
ap-918	85	98	form	form	NOUN
ap-918	85	99	,	,	PUNCT
ap-918	85	100	s	s	NOUN
ap-918	85	101	s	s	PROPN
ap-918	85	102	b	b	PROPN
ap-918	85	103	a	a	DET
ap-918	85	104	b	b	NOUN
ap-918	85	105	a	a	DET
ap-918	85	106	b	b	NOUN
ap-918	85	107	a	a	DET
ap-918	85	108	a	a	DET
ap-918	85	109	�	�	PROPN
ap-918	85	110	�	�	PROPN
ap-918	85	111	�	�	PROPN
ap-918	85	112	�	�	PROPN
ap-918	85	113	�	�	PROPN
ap-918	85	114	�	�	PROPN
ap-918	85	115	�	�	PROPN
ap-918	85	116	�	�	PROPN
ap-918	85	117	�	�	PROPN
ap-918	85	118	�	�	PROPN
ap-918	85	119	5	5	NUM
ap-918	85	120	1	1	NUM
ap-918	85	121	2	2	NUM
ap-918	85	122	1	1	NUM
ap-918	85	123	2	2	NUM
ap-918	85	124	64	64	NUM
ap-918	85	125	64	64	NUM
ap-918	85	126	16	16	NUM
ap-918	85	127	42	42	NUM
ap-918	85	128	2	2	NUM
ap-918	85	129	2	2	NUM
ap-918	85	130	2	2	NUM
ap-918	85	131	2	2	NUM
ap-918	85	132	2	2	NUM
ap-918	85	133	4	4	NUM
ap-918	85	134	.	.	PUNCT
ap-918	86	1	(	(	PUNCT
ap-918	86	2	11	11	NUM
ap-918	86	3	)	)	PUNCT
ap-918	86	4	the	the	DET
ap-918	86	5	discussion	discussion	NOUN
ap-918	86	6	of	of	ADP
ap-918	86	7	the	the	DET
ap-918	86	8	two	two	NUM
ap-918	86	9	-	-	PUNCT
ap-918	86	10	dimensional	dimensional	ADJ
ap-918	86	11	domain	domain	NOUN
ap-918	86	12	�	�	NOUN
ap-918	86	13	(	(	PUNCT
ap-918	86	14	4	4	NUM
ap-918	86	15	)	)	PUNCT
ap-918	86	16	of	of	ADP
ap-918	86	17	the	the	DET
ap-918	86	18	reality	reality	NOUN
ap-918	86	19	of	of	ADP
ap-918	86	20	these	these	DET
ap-918	86	21	energies	energy	NOUN
ap-918	86	22	is	be	AUX
ap-918	86	23	entirely	entirely	ADV
ap-918	86	24	analogous	analogous	ADJ
ap-918	86	25	to	to	ADP
ap-918	86	26	the	the	DET
ap-918	86	27	previous	previous	ADJ
ap-918	86	28	case	case	NOUN
ap-918	86	29	.	.	PUNCT
ap-918	87	1	also	also	ADV
ap-918	87	2	the	the	DET
ap-918	87	3	set	set	NOUN
ap-918	87	4	of	of	ADP
ap-918	87	5	the	the	DET
ap-918	87	6	polynomial	polynomial	ADJ
ap-918	87	7	eep	eep	PROPN
ap-918	87	8	equations	equation	NOUN
ap-918	87	9	remains	remain	VERB
ap-918	87	10	elementary	elementary	ADJ
ap-918	87	11	,	,	PUNCT
ap-918	87	12	a	a	DET
ap-918	87	13	b	b	PROPN
ap-918	87	14	b	b	X
ap-918	87	15	a	a	DET
ap-918	87	16	�	�	PROPN
ap-918	87	17	�	�	PROPN
ap-918	87	18	�	�	PROPN
ap-918	87	19	�	�	PROPN
ap-918	87	20	2	2	NUM
ap-918	87	21	10	10	NUM
ap-918	87	22	3	3	NUM
ap-918	87	23	92	92	NUM
ap-918	87	24	,	,	PUNCT
ap-918	87	25	(	(	PUNCT
ap-918	87	26	)	)	PUNCT
ap-918	87	27	.	.	PUNCT
ap-918	88	1	the	the	DET
ap-918	88	2	elimination	elimination	NOUN
ap-918	88	3	of	of	ADP
ap-918	88	4	a	a	DET
ap-918	88	5	leads	lead	NOUN
ap-918	88	6	to	to	ADP
ap-918	88	7	a	a	DET
ap-918	88	8	quadratic	quadratic	ADJ
ap-918	88	9	equation	equation	NOUN
ap-918	88	10	for	for	ADP
ap-918	88	11	b	b	PROPN
ap-918	88	12	�	�	PROPN
ap-918	88	13	3	3	NUM
ap-918	88	14	giving	give	VERB
ap-918	88	15	a	a	DET
ap-918	88	16	spurious	spurious	ADJ
ap-918	88	17	solution	solution	NOUN
ap-918	88	18	a	a	DET
ap-918	88	19	�	�	PROPN
ap-918	88	20	64	64	NUM
ap-918	88	21	and	and	CCONJ
ap-918	88	22	b	b	PROPN
ap-918	88	23	�	�	PROPN
ap-918	88	24	�	�	PROPN
ap-918	88	25	27	27	NUM
ap-918	88	26	(	(	PUNCT
ap-918	88	27	which	which	PRON
ap-918	88	28	would	would	AUX
ap-918	88	29	imply	imply	VERB
ap-918	88	30	an	an	DET
ap-918	88	31	imaginary	imaginary	ADJ
ap-918	88	32	coupling	coupling	NOUN
ap-918	88	33	b	b	NOUN
ap-918	88	34	)	)	PUNCT
ap-918	88	35	and	and	CCONJ
ap-918	88	36	the	the	DET
ap-918	88	37	unique	unique	ADJ
ap-918	88	38	correct	correct	ADJ
ap-918	88	39	solution	solution	NOUN
ap-918	88	40	a(eep	a(eep	ADJ
ap-918	88	41	)	)	PUNCT
ap-918	88	42	�	�	PROPN
ap-918	88	43	4	4	NUM
ap-918	88	44	and	and	CCONJ
ap-918	88	45	b(eep	b(eep	ADJ
ap-918	88	46	)	)	PUNCT
ap-918	88	47	�	�	PROPN
ap-918	88	48	3	3	NUM
ap-918	88	49	.	.	NOUN
ap-918	88	50	7	7	NUM
ap-918	88	51	five	five	NUM
ap-918	88	52	-	-	PUNCT
ap-918	88	53	dimensional	dimensional	ADJ
ap-918	88	54	case	case	NOUN
ap-918	88	55	the	the	DET
ap-918	88	56	model	model	NOUN
ap-918	88	57	h	h	PROPN
ap-918	88	58	b	b	PROPN
ap-918	88	59	b	b	PROPN
ap-918	88	60	a	a	PRON
ap-918	88	61	a	a	PRON
ap-918	88	62	a	a	PRON
ap-918	88	63	a	a	PRON
ap-918	88	64	b	b	PROPN
ap-918	88	65	b	b	PROPN
ap-918	88	66	(	(	PUNCT
ap-918	88	67	)	)	PUNCT
ap-918	88	68	5	5	NUM
ap-918	88	69	4	4	NUM
ap-918	88	70	0	0	NUM
ap-918	88	71	0	0	NUM
ap-918	88	72	0	0	NUM
ap-918	88	73	2	2	NUM
ap-918	88	74	0	0	NUM
ap-918	88	75	0	0	NUM
ap-918	88	76	0	0	NUM
ap-918	88	77	0	0	NUM
ap-918	88	78	0	0	NUM
ap-918	88	79	0	0	NUM
ap-918	88	80	0	0	NUM
ap-918	88	81	2	2	NUM
ap-918	88	82	0	0	NUM
ap-918	88	83	0	0	NUM
ap-918	88	84	0	0	NUM
ap-918	88	85	4	4	NUM
ap-918	88	86	�	�	PROPN
ap-918	88	87	�	�	PROPN
ap-918	88	88	�	�	PROPN
ap-918	88	89	�	�	PROPN
ap-918	88	90	�	�	PROPN
ap-918	88	91	�	�	PROPN
ap-918	88	92	�	�	PROPN
ap-918	88	93	�	�	PROPN
ap-918	88	94	�	�	PROPN
ap-918	88	95	�	�	PROPN
ap-918	88	96	�	�	PROPN
ap-918	88	97	�	�	PROPN
ap-918	88	98	�	�	PROPN
ap-918	88	99	�	�	PROPN
ap-918	88	100	�	�	PROPN
ap-918	88	101	�	�	PROPN
ap-918	88	102	�	�	PROPN
ap-918	88	103	�	�	PROPN
ap-918	88	104	�	�	PROPN
ap-918	88	105	�	�	PROPN
ap-918	88	106	�	�	PROPN
ap-918	88	107	�	�	PROPN
ap-918	88	108	gives	give	VERB
ap-918	88	109	the	the	DET
ap-918	88	110	central	central	ADJ
ap-918	88	111	constant	constant	ADJ
ap-918	88	112	energy	energy	NOUN
ap-918	88	113	e0	e0	PROPN
ap-918	88	114	�	�	PROPN
ap-918	88	115	0	0	PUNCT
ap-918	89	1	so	so	SCONJ
ap-918	89	2	that	that	SCONJ
ap-918	89	3	its	its	PRON
ap-918	89	4	secular	secular	ADJ
ap-918	89	5	equation	equation	NOUN
ap-918	89	6	�	�	PROPN
ap-918	89	7	�	�	PROPN
ap-918	89	8	�	�	PROPN
ap-918	89	9	�	�	PROPN
ap-918	89	10	�	�	PROPN
ap-918	89	11	�	�	PROPN
ap-918	89	12	�	�	PROPN
ap-918	89	13	�	�	PROPN
ap-918	89	14	�	�	PROPN
ap-918	89	15	�	�	PROPN
ap-918	89	16	s	s	PART
ap-918	89	17	b	b	NOUN
ap-918	89	18	a	a	DET
ap-918	89	19	s	s	NOUN
ap-918	89	20	b	b	NOUN
ap-918	89	21	a	a	DET
ap-918	89	22	b	b	NOUN
ap-918	89	23	a	a	DET
ap-918	89	24	b2	b2	NOUN
ap-918	89	25	2	2	NUM
ap-918	89	26	2	2	NUM
ap-918	89	27	2	2	NUM
ap-918	89	28	2	2	NUM
ap-918	89	29	4	4	NUM
ap-918	89	30	2	2	NUM
ap-918	89	31	220	220	NUM
ap-918	89	32	2	2	NUM
ap-918	89	33	2	2	NUM
ap-918	89	34	64	64	NUM
ap-918	89	35	16	16	NUM
ap-918	89	36	32	32	NUM
ap-918	89	37	2	2	NUM
ap-918	89	38	0	0	NUM
ap-918	89	39	(	(	PUNCT
ap-918	89	40	)	)	PUNCT
ap-918	89	41	(	(	PUNCT
ap-918	89	42	12	12	NUM
ap-918	89	43	)	)	PUNCT
ap-918	89	44	is	be	AUX
ap-918	89	45	solvable	solvable	ADJ
ap-918	89	46	in	in	ADP
ap-918	89	47	closed	closed	ADJ
ap-918	89	48	and	and	CCONJ
ap-918	89	49	compact	compact	ADJ
ap-918	89	50	form	form	NOUN
ap-918	89	51	again	again	ADV
ap-918	89	52	,	,	PUNCT
ap-918	89	53	e	e	PROPN
ap-918	89	54	a	a	PRON
ap-918	89	55	b	b	NOUN
ap-918	89	56	a	a	DET
ap-918	89	57	a	a	DET
ap-918	89	58	b	b	PROPN
ap-918	89	59	�	�	PROPN
ap-918	89	60	�	�	PROPN
ap-918	89	61	�	�	PROPN
ap-918	89	62	�	�	PROPN
ap-918	89	63	�	�	PROPN
ap-918	89	64	�	�	PROPN
ap-918	89	65	�	�	PROPN
ap-918	89	66	�	�	PROPN
ap-918	89	67	�	�	PROPN
ap-918	89	68	1	1	NUM
ap-918	89	69	2	2	NUM
ap-918	89	70	2	2	NUM
ap-918	89	71	2	2	NUM
ap-918	89	72	4	4	NUM
ap-918	89	73	210	210	NUM
ap-918	89	74	36	36	NUM
ap-918	89	75	12	12	NUM
ap-918	89	76	36	36	NUM
ap-918	89	77	e	e	NOUN
ap-918	89	78	a	a	DET
ap-918	89	79	b	b	NOUN
ap-918	89	80	a	a	DET
ap-918	89	81	a	a	DET
ap-918	89	82	b	b	PROPN
ap-918	89	83	�	�	PROPN
ap-918	89	84	�	�	PROPN
ap-918	89	85	�	�	PROPN
ap-918	89	86	�	�	PROPN
ap-918	89	87	�	�	PROPN
ap-918	89	88	�	�	PROPN
ap-918	89	89	�	�	PROPN
ap-918	89	90	�	�	PROPN
ap-918	89	91	�	�	PROPN
ap-918	89	92	2	2	NUM
ap-918	89	93	2	2	NUM
ap-918	89	94	2	2	NUM
ap-918	89	95	2	2	NUM
ap-918	89	96	4	4	NUM
ap-918	89	97	210	210	NUM
ap-918	89	98	36	36	NUM
ap-918	89	99	12	12	NUM
ap-918	89	100	36	36	NUM
ap-918	89	101	©	©	PROPN
ap-918	89	102	czech	czech	PROPN
ap-918	89	103	technical	technical	PROPN
ap-918	89	104	university	university	PROPN
ap-918	89	105	publishing	publishing	NOUN
ap-918	89	106	house	house	NOUN
ap-918	89	107	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-918	89	108	11	11	NUM
ap-918	89	109	acta	acta	PROPN
ap-918	89	110	polytechnica	polytechnica	PROPN
ap-918	89	111	vol	vol	NOUN
ap-918	89	112	.	.	PUNCT
ap-918	90	1	47	47	NUM
ap-918	90	2	no	no	INTJ
ap-918	90	3	.	.	PUNCT
ap-918	91	1	2–3/2007	2–3/2007	NUM
ap-918	91	2	thus	thus	ADV
ap-918	91	3	,	,	PUNCT
ap-918	91	4	the	the	DET
ap-918	91	5	triplet	triplet	NOUN
ap-918	91	6	of	of	ADP
ap-918	91	7	the	the	DET
ap-918	91	8	necessary	necessary	ADJ
ap-918	91	9	inequalitites	inequalitite	NOUN
ap-918	91	10	comprises	comprise	VERB
ap-918	91	11	the	the	DET
ap-918	91	12	trivial	trivial	ADJ
ap-918	91	13	simplex	simplex	NOUN
ap-918	91	14	condition	condition	NOUN
ap-918	91	15	10	10	NUM
ap-918	91	16	�	�	PROPN
ap-918	91	17	a	a	DET
ap-918	91	18	�	�	PROPN
ap-918	91	19	b	b	NOUN
ap-918	91	20	,	,	PUNCT
ap-918	91	21	condition	condition	NOUN
ap-918	91	22	36	36	NUM
ap-918	91	23	�	�	PROPN
ap-918	91	24	12a	12a	NOUN
ap-918	91	25	�	�	PROPN
ap-918	91	26	a2	a2	PROPN
ap-918	91	27	�	�	PROPN
ap-918	91	28	36b	36b	NOUN
ap-918	91	29	[	[	X
ap-918	91	30	showing	show	VERB
ap-918	91	31	that	that	SCONJ
ap-918	91	32	b	b	NOUN
ap-918	91	33	must	must	AUX
ap-918	91	34	lie	lie	VERB
ap-918	91	35	below	below	ADP
ap-918	91	36	a	a	DET
ap-918	91	37	parabola	parabola	PROPN
ap-918	91	38	bmax	bmax	X
ap-918	91	39	�	�	PROPN
ap-918	91	40	bmax(a	bmax(a	PROPN
ap-918	91	41	)	)	PUNCT
ap-918	91	42	]	]	PUNCT
ap-918	91	43	and	and	CCONJ
ap-918	91	44	condition	condition	NOUN
ap-918	91	45	(	(	PUNCT
ap-918	91	46	)	)	PUNCT
ap-918	91	47	(	(	PUNCT
ap-918	91	48	)	)	SYM
ap-918	91	49	8	8	NUM
ap-918	91	50	32	32	NUM
ap-918	91	51	22	22	NUM
ap-918	91	52	�	�	PROPN
ap-918	91	53	�	�	PROPN
ap-918	91	54	�	�	PROPN
ap-918	91	55	b	b	PROPN
ap-918	91	56	b	b	PROPN
ap-918	91	57	a	a	PRON
ap-918	91	58	[	[	X
ap-918	91	59	giving	give	VERB
ap-918	91	60	the	the	DET
ap-918	91	61	upper	upper	ADJ
ap-918	91	62	bound	bind	VERB
ap-918	91	63	for	for	ADP
ap-918	91	64	a	a	DET
ap-918	91	65	a	a	DET
ap-918	91	66	a	a	DET
ap-918	91	67	b	b	PROPN
ap-918	91	68	�	�	PROPN
ap-918	91	69	�	�	PROPN
ap-918	91	70	max	max	PROPN
ap-918	91	71	max	max	PROPN
ap-918	91	72	(	(	PUNCT
ap-918	91	73	)	)	PUNCT
ap-918	91	74	]	]	PUNCT
ap-918	91	75	.	.	PUNCT
ap-918	92	1	in	in	ADP
ap-918	92	2	the	the	DET
ap-918	92	3	eep	eep	NOUN
ap-918	92	4	context	context	NOUN
ap-918	92	5	,	,	PUNCT
ap-918	92	6	two	two	NUM
ap-918	92	7	coupled	couple	VERB
ap-918	92	8	conditions	condition	NOUN
ap-918	92	9	degenerate	degenerate	ADJ
ap-918	92	10	to	to	ADP
ap-918	92	11	the	the	DET
ap-918	92	12	single	single	ADJ
ap-918	92	13	quadratic	quadratic	ADJ
ap-918	92	14	equation	equation	NOUN
ap-918	92	15	with	with	ADP
ap-918	92	16	the	the	DET
ap-918	92	17	unique	unique	ADJ
ap-918	92	18	non	non	ADJ
ap-918	92	19	-	-	ADJ
ap-918	92	20	spurious	spurious	ADJ
ap-918	92	21	solution	solution	NOUN
ap-918	92	22	a(eep	a(eep	ADJ
ap-918	92	23	)	)	PUNCT
ap-918	92	24	�	�	PROPN
ap-918	92	25	6	6	NUM
ap-918	92	26	and	and	CCONJ
ap-918	92	27	b(eep	b(eep	ADJ
ap-918	92	28	)	)	PUNCT
ap-918	92	29	�	�	PROPN
ap-918	92	30	4	4	NUM
ap-918	92	31	.	.	NOUN
ap-918	92	32	8	8	NUM
ap-918	92	33	six	six	NUM
ap-918	92	34	-	-	PUNCT
ap-918	92	35	dimensional	dimensional	ADJ
ap-918	92	36	case	case	NOUN
ap-918	92	37	the	the	DET
ap-918	92	38	secular	secular	ADJ
ap-918	92	39	equation	equation	NOUN
ap-918	92	40	at	at	ADP
ap-918	92	41	n	n	PRON
ap-918	92	42	�	�	PROPN
ap-918	92	43	6	6	NUM
ap-918	92	44	,	,	PUNCT
ap-918	92	45	det	det	NOUN
ap-918	92	46	5	5	NUM
ap-918	92	47	0	0	NUM
ap-918	92	48	0	0	NUM
ap-918	92	49	0	0	NUM
ap-918	92	50	0	0	NUM
ap-918	92	51	3	3	NUM
ap-918	92	52	0	0	NUM
ap-918	92	53	0	0	NUM
ap-918	92	54	0	0	NUM
ap-918	92	55	0	0	NUM
ap-918	92	56	1	1	NUM
ap-918	92	57	0	0	NUM
ap-918	92	58	0	0	NUM
ap-918	92	59	0	0	NUM
ap-918	92	60	0	0	NUM
ap-918	92	61	1	1	NUM
ap-918	92	62	0	0	NUM
ap-918	92	63	0	0	NUM
ap-918	92	64	0	0	NUM
ap-918	92	65	0	0	NUM
ap-918	92	66	3	3	NUM
ap-918	92	67	0	0	NUM
ap-918	92	68	�	�	PROPN
ap-918	92	69	�	�	PROPN
ap-918	92	70	�	�	PROPN
ap-918	92	71	�	�	PROPN
ap-918	92	72	�	�	PROPN
ap-918	92	73	�	�	PROPN
ap-918	92	74	�	�	PROPN
ap-918	92	75	�	�	PROPN
ap-918	92	76	�	�	PROPN
ap-918	92	77	�	�	PROPN
ap-918	92	78	�	�	PROPN
ap-918	93	1	e	e	X
ap-918	93	2	c	c	NOUN
ap-918	93	3	c	c	PROPN
ap-918	93	4	e	e	PROPN
ap-918	93	5	b	b	PROPN
ap-918	93	6	b	b	PROPN
ap-918	93	7	e	e	PROPN
ap-918	93	8	a	a	DET
ap-918	93	9	a	a	DET
ap-918	93	10	e	e	NOUN
ap-918	93	11	b	b	PROPN
ap-918	93	12	b	b	PROPN
ap-918	93	13	e	e	PROPN
ap-918	93	14	c	c	NOUN
ap-918	93	15	0	0	NUM
ap-918	93	16	0	0	NUM
ap-918	93	17	0	0	NUM
ap-918	93	18	5	5	NUM
ap-918	93	19	0	0	NUM
ap-918	93	20	�	�	PROPN
ap-918	93	21	�	�	PROPN
ap-918	93	22	�	�	PROPN
ap-918	93	23	�	�	PROPN
ap-918	93	24	�	�	PROPN
ap-918	93	25	�	�	PROPN
ap-918	93	26	�	�	PROPN
ap-918	93	27	�	�	PROPN
ap-918	93	28	�	�	PROPN
ap-918	93	29	�	�	PROPN
ap-918	93	30	�	�	PROPN
ap-918	93	31	�	�	PROPN
ap-918	93	32	�	�	PROPN
ap-918	93	33	�	�	PROPN
ap-918	93	34	�	�	PROPN
ap-918	93	35	�	�	PROPN
ap-918	93	36	�	�	PROPN
ap-918	93	37	�	�	PROPN
ap-918	93	38	�	�	PROPN
ap-918	93	39	�	�	PROPN
ap-918	93	40	�	�	PROPN
ap-918	93	41	c	c	PROPN
ap-918	93	42	e	e	X
ap-918	93	43	in	in	ADP
ap-918	93	44	its	its	PRON
ap-918	93	45	polynomial	polynomial	ADJ
ap-918	93	46	form	form	NOUN
ap-918	93	47	for	for	ADP
ap-918	93	48	s	s	PROPN
ap-918	93	49	�	�	PROPN
ap-918	93	50	e2	e2	PROPN
ap-918	93	51	,	,	PUNCT
ap-918	93	52	s	s	PROPN
ap-918	93	53	b	b	NOUN
ap-918	93	54	c	c	DET
ap-918	93	55	a	a	DET
ap-918	93	56	s	s	X
ap-918	93	57	b	b	NOUN
ap-918	93	58	c	c	PROPN
ap-918	93	59	a	a	DET
ap-918	93	60	b	b	NOUN
ap-918	93	61	c	c	NOUN
ap-918	93	62	a	a	DET
ap-918	93	63	c	c	NOUN
ap-918	93	64	3	3	NUM
ap-918	93	65	2	2	NUM
ap-918	93	66	2	2	NUM
ap-918	93	67	2	2	NUM
ap-918	93	68	2	2	NUM
ap-918	93	69	4	4	NUM
ap-918	93	70	2	2	NUM
ap-918	93	71	2	2	NUM
ap-918	93	72	2	2	NUM
ap-918	93	73	2	2	NUM
ap-918	93	74	2	2	NUM
ap-918	93	75	4	4	NUM
ap-918	93	76	2	2	NUM
ap-918	93	77	35	35	NUM
ap-918	93	78	2	2	NUM
ap-918	93	79	2	2	NUM
ap-918	93	80	44	44	NUM
ap-918	93	81	28	28	NUM
ap-918	93	82	34	34	NUM
ap-918	93	83	2	2	NUM
ap-918	93	84	�	�	PROPN
ap-918	93	85	�	�	PROPN
ap-918	93	86	�	�	PROPN
ap-918	93	87	�	�	PROPN
ap-918	93	88	�	�	PROPN
ap-918	93	89	�	�	PROPN
ap-918	93	90	�	�	PROPN
ap-918	93	91	�	�	PROPN
ap-918	93	92	�	�	PROPN
ap-918	93	93	�	�	PROPN
ap-918	93	94	�	�	PROPN
ap-918	93	95	(	(	PUNCT
ap-918	93	96	)	)	PUNCT
ap-918	93	97	(	(	PUNCT
ap-918	93	98	59	59	NUM
ap-918	93	99	2	2	NUM
ap-918	93	100	10	10	NUM
ap-918	93	101	30	30	NUM
ap-918	93	102	225	225	NUM
ap-918	93	103	30	30	NUM
ap-918	93	104	25	25	NUM
ap-918	93	105	2	2	NUM
ap-918	93	106	2	2	NUM
ap-918	93	107	2	2	NUM
ap-918	93	108	2	2	NUM
ap-918	93	109	4	4	NUM
ap-918	93	110	2	2	NUM
ap-918	93	111	2	2	NUM
ap-918	93	112	2	2	NUM
ap-918	93	113	2	2	NUM
ap-918	93	114	2	2	NUM
ap-918	93	115	2	2	NUM
ap-918	93	116	4	4	NUM
ap-918	93	117	4	4	NUM
ap-918	93	118	�	�	PROPN
ap-918	93	119	�	�	PROPN
ap-918	93	120	�	�	PROPN
ap-918	93	121	�	�	PROPN
ap-918	93	122	�	�	PROPN
ap-918	93	123	�	�	PROPN
ap-918	93	124	�	�	PROPN
ap-918	93	125	�	�	PROPN
ap-918	93	126	�	�	PROPN
ap-918	94	1	b	b	PROPN
ap-918	94	2	c	c	PROPN
ap-918	94	3	s	s	VERB
ap-918	94	4	a	a	DET
ap-918	94	5	c	c	NOUN
ap-918	94	6	b	b	PROPN
ap-918	95	1	c	c	NOUN
ap-918	95	2	c	c	PROPN
ap-918	95	3	a	a	DET
ap-918	95	4	a	a	DET
ap-918	95	5	c	c	NOUN
ap-918	95	6	c	c	PROPN
ap-918	95	7	b	b	PROPN
ap-918	95	8	)	)	PUNCT
ap-918	95	9	25	25	NUM
ap-918	95	10	150	150	NUM
ap-918	95	11	02	02	NUM
ap-918	95	12	�	�	PROPN
ap-918	95	13	�	�	PROPN
ap-918	95	14	b	b	PROPN
ap-918	95	15	is	be	AUX
ap-918	95	16	still	still	ADV
ap-918	95	17	solvable	solvable	ADJ
ap-918	95	18	in	in	ADP
ap-918	95	19	closed	closed	ADJ
ap-918	95	20	form	form	NOUN
ap-918	95	21	.	.	PUNCT
ap-918	96	1	in	in	ADP
ap-918	96	2	the	the	DET
ap-918	96	3	eep	eep	NOUN
ap-918	96	4	extreme	extreme	NOUN
ap-918	96	5	the	the	DET
ap-918	96	6	full	full	ADJ
ap-918	96	7	solution	solution	NOUN
ap-918	96	8	of	of	ADP
ap-918	96	9	the	the	DET
ap-918	96	10	triplet	triplet	NOUN
ap-918	96	11	of	of	ADP
ap-918	96	12	eqs	eqs	PROPN
ap-918	96	13	.	.	PUNCT
ap-918	97	1	(	(	PUNCT
ap-918	97	2	9	9	X
ap-918	97	3	)	)	PUNCT
ap-918	97	4	ceases	cease	VERB
ap-918	97	5	to	to	PART
ap-918	97	6	be	be	AUX
ap-918	97	7	easy	easy	ADJ
ap-918	97	8	but	but	CCONJ
ap-918	97	9	it	it	PRON
ap-918	97	10	still	still	ADV
ap-918	97	11	remains	remain	VERB
ap-918	97	12	feasible	feasible	ADJ
ap-918	97	13	,	,	PUNCT
ap-918	97	14	giving	give	VERB
ap-918	97	15	a	a	DET
ap-918	97	16	b	b	NOUN
ap-918	97	17	c	c	NOUN
ap-918	97	18	n	n	CCONJ
ap-918	97	19	(	(	PUNCT
ap-918	97	20	)	)	PUNCT
ap-918	97	21	(	(	PUNCT
ap-918	97	22	)	)	PUNCT
ap-918	97	23	(	(	PUNCT
ap-918	97	24	)	)	PUNCT
ap-918	97	25	,	,	PUNCT
ap-918	97	26	,	,	PUNCT
ap-918	97	27	,	,	PUNCT
ap-918	97	28	eep	eep	PROPN
ap-918	97	29	eep	eep	PROPN
ap-918	97	30	eep	eep	PROPN
ap-918	97	31	�	�	PROPN
ap-918	97	32	�	�	PROPN
ap-918	97	33	�	�	PROPN
ap-918	97	34	�	�	PROPN
ap-918	97	35	9	9	NUM
ap-918	97	36	8	8	NUM
ap-918	97	37	5	5	NUM
ap-918	97	38	6	6	NUM
ap-918	97	39	.	.	PUNCT
ap-918	98	1	(	(	PUNCT
ap-918	98	2	13	13	NUM
ap-918	98	3	)	)	PUNCT
ap-918	98	4	9	9	NUM
ap-918	98	5	seven	seven	NUM
ap-918	98	6	-	-	PUNCT
ap-918	98	7	dimensional	dimensional	ADJ
ap-918	98	8	case	case	NOUN
ap-918	98	9	by	by	ADP
ap-918	98	10	the	the	DET
ap-918	98	11	same	same	ADJ
ap-918	98	12	gröbner	gröbner	ADJ
ap-918	98	13	-	-	PUNCT
ap-918	98	14	basis	basis	NOUN
ap-918	98	15	method	method	NOUN
ap-918	98	16	as	as	ADP
ap-918	98	17	above	above	ADV
ap-918	98	18	we	we	PRON
ap-918	98	19	derive	derive	VERB
ap-918	98	20	the	the	DET
ap-918	98	21	result	result	NOUN
ap-918	98	22	a	a	DET
ap-918	98	23	b	b	PROPN
ap-918	98	24	c	c	NOUN
ap-918	98	25	n	n	CCONJ
ap-918	98	26	(	(	PUNCT
ap-918	98	27	)	)	PUNCT
ap-918	98	28	(	(	PUNCT
ap-918	98	29	)	)	PUNCT
ap-918	98	30	(	(	PUNCT
ap-918	98	31	)	)	PUNCT
ap-918	98	32	,	,	PUNCT
ap-918	98	33	,	,	PUNCT
ap-918	98	34	,	,	PUNCT
ap-918	98	35	eep	eep	PROPN
ap-918	98	36	eep	eep	PROPN
ap-918	98	37	eep	eep	PROPN
ap-918	98	38	�	�	PROPN
ap-918	98	39	�	�	PROPN
ap-918	98	40	�	�	PROPN
ap-918	98	41	�	�	PROPN
ap-918	98	42	12	12	NUM
ap-918	98	43	10	10	NUM
ap-918	98	44	6	6	NUM
ap-918	98	45	7	7	NUM
ap-918	98	46	.	.	PUNCT
ap-918	99	1	(	(	PUNCT
ap-918	99	2	14	14	NUM
ap-918	99	3	)	)	PUNCT
ap-918	99	4	it	it	PRON
ap-918	99	5	is	be	AUX
ap-918	99	6	again	again	ADV
ap-918	99	7	unique	unique	ADJ
ap-918	99	8	because	because	SCONJ
ap-918	99	9	one	one	NUM
ap-918	99	10	of	of	ADP
ap-918	99	11	the	the	DET
ap-918	99	12	two	two	NUM
ap-918	99	13	rootsc	rootsc	PROPN
ap-918	99	14	�	�	PROPN
ap-918	99	15	�	�	PROPN
ap-918	99	16	�	�	PROPN
ap-918	99	17	27	27	NUM
ap-918	99	18	9	9	NUM
ap-918	99	19	21	21	NUM
ap-918	99	20	of	of	ADP
ap-918	99	21	the	the	DET
ap-918	99	22	“	"	PUNCT
ap-918	99	23	first	first	ADJ
ap-918	99	24	alternative	alternative	ADJ
ap-918	99	25	”	"	PUNCT
ap-918	99	26	gröbnerian	gröbnerian	ADJ
ap-918	99	27	“	"	PUNCT
ap-918	99	28	effective	effective	ADJ
ap-918	99	29	”	"	PUNCT
ap-918	99	30	equation	equation	NOUN
ap-918	99	31	c	c	PROPN
ap-918	99	32	c2	c2	PROPN
ap-918	99	33	54	54	NUM
ap-918	99	34	972	972	NUM
ap-918	99	35	�	�	PROPN
ap-918	99	36	�	�	PROPN
ap-918	99	37	and	and	CCONJ
ap-918	99	38	both	both	CCONJ
ap-918	99	39	the	the	DET
ap-918	99	40	roots	root	NOUN
ap-918	99	41	�	�	PROPN
ap-918	99	42	�	�	PROPN
ap-918	99	43	354	354	NUM
ap-918	99	44	60	60	NUM
ap-918	99	45	34	34	NUM
ap-918	99	46	of	of	ADP
ap-918	99	47	the	the	DET
ap-918	99	48	“	"	PUNCT
ap-918	99	49	second	second	ADJ
ap-918	99	50	alternative	alternative	ADJ
ap-918	99	51	”	"	PUNCT
ap-918	99	52	equation	equation	NOUN
ap-918	99	53	c	c	PROPN
ap-918	99	54	c2	c2	PROPN
ap-918	99	55	708	708	NUM
ap-918	99	56	2916	2916	NUM
ap-918	99	57	0	0	NUM
ap-918	99	58	�	�	PROPN
ap-918	99	59	�	�	PROPN
ap-918	99	60	�	�	PROPN
ap-918	99	61	are	be	AUX
ap-918	99	62	negative	negative	ADJ
ap-918	99	63	,	,	PUNCT
ap-918	99	64	while	while	SCONJ
ap-918	99	65	the	the	DET
ap-918	99	66	only	only	ADJ
ap-918	99	67	remaining	remain	VERB
ap-918	99	68	positive	positive	ADJ
ap-918	99	69	root	root	NOUN
ap-918	99	70	c	c	X
ap-918	99	71	�	�	X
ap-918	99	72	�	�	PROPN
ap-918	99	73	68	68	NUM
ap-918	99	74	24318125	24318125	NUM
ap-918	99	75	.	.	PUNCT
ap-918	100	1	gives	give	VERB
ap-918	100	2	the	the	DET
ap-918	100	3	negative	negative	ADJ
ap-918	100	4	b	b	PROPN
ap-918	100	5	c	c	X
ap-918	100	6	�	�	PROPN
ap-918	100	7	�	�	PROPN
ap-918	100	8	28	28	NUM
ap-918	100	9	3	3	NUM
ap-918	100	10	.	.	PUNCT
ap-918	101	1	10	10	NUM
ap-918	101	2	extrapolation	extrapolation	NOUN
ap-918	101	3	formulae	formulae	NOUN
ap-918	101	4	of	of	ADP
ap-918	101	5	paper	paper	NOUN
ap-918	101	6	[	[	X
ap-918	101	7	19	19	NUM
ap-918	101	8	]	]	PUNCT
ap-918	101	9	by	by	ADP
ap-918	101	10	construction	construction	NOUN
ap-918	101	11	,	,	PUNCT
ap-918	101	12	quasi	quasi	ADJ
ap-918	101	13	-	-	ADJ
ap-918	101	14	hermiticity	hermiticity	ADJ
ap-918	101	15	domain	domain	NOUN
ap-918	101	16	�	�	PROPN
ap-918	101	17	must	must	AUX
ap-918	101	18	lie	lie	VERB
ap-918	101	19	inside	inside	ADP
ap-918	101	20	a	a	DET
ap-918	101	21	simplex	simplex	NOUN
ap-918	101	22	s	s	PROPN
ap-918	101	23	,	,	PUNCT
ap-918	101	24	a	a	DET
ap-918	101	25	b	b	NOUN
ap-918	101	26	c	c	NOUN
ap-918	101	27	z	z	NOUN
ap-918	101	28	g	g	PROPN
ap-918	101	29	g	g	PROPN
ap-918	101	30	k	k	PROPN
ap-918	101	31	k	k	PROPN
ap-918	102	1	n	n	PROPN
ap-918	103	1	k	k	PROPN
ap-918	103	2	j	j	PROPN
ap-918	104	1	k	k	PROPN
ap-918	104	2	k	k	PROPN
ap-918	104	3	j	j	PROPN
ap-918	104	4	�	�	PROPN
ap-918	104	5	�	�	PROPN
ap-918	104	6	�	�	PROPN
ap-918	104	7	�	�	PROPN
ap-918	104	8	�	�	PROPN
ap-918	104	9	�	�	PROPN
ap-918	104	10	�	�	PROPN
ap-918	104	11	�	�	PROPN
ap-918	104	12	�	�	PROPN
ap-918	104	13	�	�	PROPN
ap-918	104	14	�	�	PROPN
ap-918	104	15	�	�	PROPN
ap-918	104	16	2	2	NUM
ap-918	104	17	2	2	NUM
ap-918	104	18	4	4	NUM
ap-918	104	19	3	3	NUM
ap-918	104	20	2	2	NUM
ap-918	104	21	2	2	NUM
ap-918	104	22	2	2	NUM
ap-918	104	23	1	1	NUM
ap-918	104	24	1	1	NUM
ap-918	104	25	3	3	NUM
ap-918	104	26	(	(	PUNCT
ap-918	104	27	)	)	PUNCT
ap-918	104	28	,	,	PUNCT
ap-918	104	29	�	�	PROPN
ap-918	104	30	even	even	ADV
ap-918	104	31	(	(	PUNCT
ap-918	104	32	15	15	NUM
ap-918	104	33	)	)	PUNCT
ap-918	104	34	and	and	CCONJ
ap-918	104	35	a	a	DET
ap-918	104	36	b	b	NOUN
ap-918	104	37	c	c	NOUN
ap-918	104	38	d	d	PROPN
ap-918	104	39	z	z	NOUN
ap-918	104	40	m	m	VERB
ap-918	104	41	m	m	VERB
ap-918	104	42	m	m	VERB
ap-918	104	43	n	n	ADV
ap-918	104	44	m	m	PROPN
ap-918	104	45	�	�	PROPN
ap-918	104	46	�	�	PROPN
ap-918	104	47	�	�	PROPN
ap-918	104	48	�	�	PROPN
ap-918	104	49	�	�	PROPN
ap-918	104	50	�	�	PROPN
ap-918	104	51	�	�	PROPN
ap-918	104	52	�	�	PROPN
ap-918	104	53	�	�	PROPN
ap-918	104	54	�	�	PROPN
ap-918	104	55	�	�	PROPN
ap-918	104	56	�	�	PROPN
ap-918	104	57	2	2	NUM
ap-918	104	58	3	3	NUM
ap-918	104	59	3	3	NUM
ap-918	104	60	2	2	NUM
ap-918	104	61	1	1	NUM
ap-918	104	62	3	3	NUM
ap-918	104	63	2	2	NUM
ap-918	104	64	,	,	PUNCT
ap-918	104	65	odd	odd	ADJ
ap-918	104	66	.	.	PUNCT
ap-918	105	1	(	(	PUNCT
ap-918	105	2	16	16	NUM
ap-918	105	3	)	)	PUNCT
ap-918	105	4	this	this	PRON
ap-918	105	5	provides	provide	VERB
ap-918	105	6	important	important	ADJ
ap-918	105	7	information	information	NOUN
ap-918	105	8	about	about	ADP
ap-918	105	9	the	the	DET
ap-918	105	10	shape	shape	NOUN
ap-918	105	11	of	of	ADP
ap-918	105	12	the	the	DET
ap-918	105	13	domain	domain	NOUN
ap-918	105	14	�	�	PROPN
ap-918	105	15	,	,	PUNCT
ap-918	105	16	obtained	obtain	VERB
ap-918	105	17	fairly	fairly	ADV
ap-918	105	18	easily	easily	ADV
ap-918	105	19	by	by	ADP
ap-918	105	20	the	the	DET
ap-918	105	21	extrapolation	extrapolation	NOUN
ap-918	105	22	technique	technique	NOUN
ap-918	105	23	(	(	PUNCT
ap-918	105	24	cf	cf	NOUN
ap-918	105	25	.	.	PUNCT
ap-918	106	1	[	[	X
ap-918	106	2	19	19	NUM
ap-918	106	3	]	]	NUM
ap-918	106	4	)	)	PUNCT
ap-918	106	5	.	.	PUNCT
ap-918	107	1	in	in	ADP
ap-918	107	2	the	the	DET
ap-918	107	3	light	light	NOUN
ap-918	107	4	of	of	ADP
ap-918	107	5	the	the	DET
ap-918	107	6	simplicity	simplicity	NOUN
ap-918	107	7	of	of	ADP
ap-918	107	8	all	all	DET
ap-918	107	9	our	our	PRON
ap-918	107	10	previous	previous	ADJ
ap-918	107	11	eep	eep	NOUN
ap-918	107	12	formulae	formulae	VERB
ap-918	107	13	the	the	DET
ap-918	107	14	extrapolation	extrapolation	NOUN
ap-918	107	15	trick	trick	NOUN
ap-918	107	16	can	can	AUX
ap-918	107	17	be	be	AUX
ap-918	107	18	applied	apply	VERB
ap-918	107	19	to	to	ADP
ap-918	107	20	them	they	PRON
ap-918	107	21	as	as	ADV
ap-918	107	22	well	well	ADV
ap-918	107	23	.	.	PUNCT
ap-918	108	1	at	at	ADP
ap-918	108	2	the	the	DET
ap-918	108	3	even	even	ADJ
ap-918	108	4	n	n	PRON
ap-918	108	5	�	�	PROPN
ap-918	108	6	2k	2k	PROPN
ap-918	108	7	such	such	DET
ap-918	108	8	an	an	DET
ap-918	108	9	approach	approach	NOUN
ap-918	108	10	leads	lead	VERB
ap-918	108	11	to	to	ADP
ap-918	108	12	the	the	DET
ap-918	108	13	extrapolation	extrapolation	NOUN
ap-918	108	14	conjecture	conjecture	NOUN
ap-918	109	1	a	a	PRON
ap-918	109	2	k	k	PROPN
ap-918	109	3	b	b	PROPN
ap-918	110	1	k	k	PROPN
ap-918	110	2	c	c	PROPN
ap-918	111	1	k	k	PROPN
ap-918	111	2	d	d	X
ap-918	111	3	k	k	PROPN
ap-918	111	4	(	(	PUNCT
ap-918	111	5	)	)	PUNCT
ap-918	111	6	(	(	PUNCT
ap-918	111	7	)	)	PUNCT
ap-918	111	8	(	(	PUNCT
ap-918	111	9	)	)	PUNCT
ap-918	111	10	(	(	PUNCT
ap-918	111	11	)	)	PUNCT
ap-918	111	12	,	,	PUNCT
ap-918	111	13	,	,	PUNCT
ap-918	111	14	,	,	PUNCT
ap-918	111	15	,	,	PUNCT
ap-918	111	16	eep	eep	PROPN
ap-918	111	17	eep	eep	PROPN
ap-918	111	18	eep	eep	PROPN
ap-918	111	19	eep	eep	PROPN
ap-918	111	20	�	�	PROPN
ap-918	111	21	�	�	PROPN
ap-918	111	22	�	�	PROPN
ap-918	111	23	�	�	PROPN
ap-918	111	24	�	�	PROPN
ap-918	111	25	�	�	PROPN
ap-918	111	26	�	�	PROPN
ap-918	111	27	2	2	NUM
ap-918	111	28	2	2	NUM
ap-918	111	29	2	2	NUM
ap-918	111	30	2	2	NUM
ap-918	111	31	2	2	NUM
ap-918	111	32	2	2	NUM
ap-918	111	33	2	2	NUM
ap-918	111	34	1	1	NUM
ap-918	111	35	2	2	NUM
ap-918	111	36	3	3	NUM
ap-918	111	37	�	�	PROPN
ap-918	111	38	(	(	PUNCT
ap-918	111	39	17	17	NUM
ap-918	111	40	)	)	PUNCT
ap-918	111	41	the	the	DET
ap-918	111	42	validity	validity	NOUN
ap-918	111	43	of	of	ADP
ap-918	111	44	which	which	PRON
ap-918	111	45	we	we	PRON
ap-918	111	46	tested	test	VERB
ap-918	111	47	up	up	ADP
ap-918	111	48	to	to	ADP
ap-918	111	49	k	k	PROPN
ap-918	111	50	�	�	PROPN
ap-918	111	51	6	6	NUM
ap-918	111	52	.	.	PUNCT
ap-918	112	1	in	in	ADP
ap-918	112	2	parallel	parallel	ADJ
ap-918	112	3	one	one	NUM
ap-918	112	4	arrives	arrive	VERB
ap-918	112	5	at	at	ADP
ap-918	112	6	the	the	DET
ap-918	112	7	following	follow	VERB
ap-918	112	8	odd	odd	ADJ
ap-918	112	9	-	-	PUNCT
ap-918	112	10	dimensional	dimensional	ADJ
ap-918	112	11	formula	formula	NOUN
ap-918	112	12	a	a	DET
ap-918	112	13	m	m	NOUN
ap-918	112	14	m	m	NOUN
ap-918	112	15	b	b	NOUN
ap-918	112	16	m	m	VERB
ap-918	112	17	m	m	VERB
ap-918	112	18	m	m	VERB
ap-918	112	19	m	m	VERB
ap-918	112	20	c	c	NOUN
ap-918	112	21	m	m	VERB
ap-918	112	22	(	(	PUNCT
ap-918	112	23	)	)	PUNCT
ap-918	112	24	(	(	PUNCT
ap-918	112	25	)	)	PUNCT
ap-918	112	26	(	(	PUNCT
ap-918	112	27	)	)	PUNCT
ap-918	112	28	(	(	PUNCT
ap-918	112	29	)	)	PUNCT
ap-918	112	30	,	,	PUNCT
ap-918	112	31	(	(	PUNCT
ap-918	112	32	)	)	PUNCT
ap-918	112	33	(	(	PUNCT
ap-918	112	34	)	)	PUNCT
ap-918	112	35	,	,	PUNCT
ap-918	112	36	(	(	PUNCT
ap-918	112	37	eep	eep	PROPN
ap-918	112	38	eep	eep	PROPN
ap-918	112	39	eep	eep	PROPN
ap-918	112	40	�	�	PROPN
ap-918	112	41	�	�	PROPN
ap-918	112	42	�	�	PROPN
ap-918	112	43	�	�	PROPN
ap-918	112	44	�	�	PROPN
ap-918	112	45	�	�	PROPN
ap-918	112	46	�	�	PROPN
ap-918	112	47	�	�	PROPN
ap-918	112	48	�	�	PROPN
ap-918	112	49	�	�	PROPN
ap-918	112	50	1	1	NUM
ap-918	112	51	1	1	NUM
ap-918	112	52	1	1	NUM
ap-918	112	53	2	2	NUM
ap-918	112	54	1	1	NUM
ap-918	112	55	2	2	NUM
ap-918	112	56	m	m	NOUN
ap-918	112	57	d	d	NOUN
ap-918	112	58	m	m	VERB
ap-918	112	59	m	m	VERB
ap-918	112	60	�	�	PROPN
ap-918	112	61	�	�	PROPN
ap-918	112	62	�	�	PROPN
ap-918	112	63	�	�	PROPN
ap-918	112	64	�	�	PROPN
ap-918	112	65	�	�	PROPN
ap-918	112	66	�	�	PROPN
ap-918	112	67	1	1	NUM
ap-918	112	68	2	2	NUM
ap-918	112	69	3	3	NUM
ap-918	112	70	1	1	NUM
ap-918	112	71	3	3	NUM
ap-918	112	72	4	4	NUM
ap-918	112	73	)	)	PUNCT
ap-918	112	74	,	,	PUNCT
ap-918	112	75	(	(	PUNCT
ap-918	112	76	)	)	PUNCT
ap-918	112	77	,	,	PUNCT
ap-918	112	78	(	(	PUNCT
ap-918	112	79	)	)	PUNCT
ap-918	112	80	eep	eep	PROPN
ap-918	112	81	�	�	PROPN
ap-918	112	82	(	(	PUNCT
ap-918	112	83	18	18	NUM
ap-918	112	84	)	)	PUNCT
ap-918	112	85	when	when	SCONJ
ap-918	112	86	n	n	X
ap-918	112	87	m	m	PROPN
ap-918	112	88	�	�	PROPN
ap-918	112	89	�	�	PROPN
ap-918	112	90	2	2	NUM
ap-918	112	91	1	1	NUM
ap-918	112	92	.	.	NOUN
ap-918	112	93	11	11	NUM
ap-918	112	94	verifications	verification	NOUN
ap-918	112	95	:	:	PUNCT
ap-918	112	96	eight	eight	NUM
ap-918	112	97	-	-	PUNCT
ap-918	112	98	dimensional	dimensional	ADJ
ap-918	112	99	case	case	NOUN
ap-918	112	100	even	even	ADV
ap-918	112	101	dimensions	dimension	NOUN
ap-918	112	102	n	n	PRON
ap-918	112	103	�	�	PROPN
ap-918	112	104	2k	2k	PROPN
ap-918	112	105	are	be	AUX
ap-918	112	106	“	"	PUNCT
ap-918	112	107	anomalous	anomalous	ADJ
ap-918	112	108	”	"	PUNCT
ap-918	112	109	in	in	ADP
ap-918	112	110	having	have	VERB
ap-918	112	111	the	the	DET
ap-918	112	112	coupling	coupling	NOUN
ap-918	112	113	a	a	PRON
ap-918	112	114	in	in	ADP
ap-918	112	115	the	the	DET
ap-918	112	116	matrix	matrix	NOUN
ap-918	112	117	h	h	NOUN
ap-918	113	1	k	k	NOUN
ap-918	113	2	z	z	PROPN
ap-918	113	3	z	z	PROPN
ap-918	113	4	b	b	PROPN
ap-918	113	5	b	b	PROPN
ap-918	113	6	a	a	DET
ap-918	113	7	a	a	DET
ap-918	113	8	b	b	PROPN
ap-918	113	9	b	b	X
ap-918	113	10	k	k	X
ap-918	113	11	(	(	PUNCT
ap-918	113	12	)	)	PUNCT
ap-918	113	13	2	2	NUM
ap-918	113	14	2	2	NUM
ap-918	113	15	1	1	NUM
ap-918	113	16	0	0	NUM
ap-918	113	17	0	0	NUM
ap-918	113	18	3	3	NUM
ap-918	113	19	0	0	NUM
ap-918	113	20	1	1	NUM
ap-918	113	21	0	0	NUM
ap-918	113	22	0	0	NUM
ap-918	113	23	1	1	NUM
ap-918	113	24	0	0	NUM
ap-918	113	25	0	0	NUM
ap-918	113	26	3	3	NUM
ap-918	113	27	�	�	PROPN
ap-918	113	28	�	�	PROPN
ap-918	113	29	�	�	PROPN
ap-918	113	30	�	�	PROPN
ap-918	113	31	�	�	PROPN
ap-918	113	32	�	�	PROPN
ap-918	113	33	�	�	PROPN
ap-918	113	34	�	�	PROPN
ap-918	113	35	�	�	PROPN
ap-918	113	36	�	�	PROPN
ap-918	113	37	�	�	PROPN
ap-918	113	38	�	�	PROPN
ap-918	113	39	�	�	PROPN
ap-918	113	40	�	�	PROPN
ap-918	113	41	�	�	PROPN
ap-918	113	42	�	�	PROPN
ap-918	113	43	�	�	PROPN
ap-918	113	44	�	�	PROPN
ap-918	113	45	�	�	PROPN
ap-918	113	46	�	�	PROPN
ap-918	113	47	�	�	PROPN
ap-918	113	48	�	�	PROPN
ap-918	113	49	�	�	PROPN
ap-918	113	50	�	�	PROPN
ap-918	113	51	�	�	PROPN
ap-918	113	52	�	�	PROPN
ap-918	113	53	�	�	PROPN
ap-918	113	54	z	z	PROPN
ap-918	113	55	z	z	PROPN
ap-918	113	56	k0	k0	PROPN
ap-918	113	57	1	1	NUM
ap-918	113	58	2	2	NUM
ap-918	113	59	�	�	PROPN
ap-918	113	60	�	�	PROPN
ap-918	113	61	�	�	PROPN
ap-918	113	62	�	�	PROPN
ap-918	113	63	�	�	PROPN
ap-918	113	64	�	�	PROPN
ap-918	113	65	�	�	PROPN
ap-918	113	66	�	�	PROPN
ap-918	113	67	�	�	PROPN
ap-918	113	68	�	�	PROPN
ap-918	113	69	�	�	PROPN
ap-918	113	70	�	�	PROPN
ap-918	113	71	�	�	PROPN
ap-918	113	72	�	�	PROPN
ap-918	113	73	�	�	PROPN
ap-918	113	74	�	�	PROPN
ap-918	113	75	�	�	PROPN
ap-918	113	76	�	�	PROPN
ap-918	113	77	�	�	PROPN
ap-918	113	78	�	�	PROPN
ap-918	113	79	�	�	PROPN
ap-918	113	80	�	�	PROPN
ap-918	113	81	�	�	PROPN
ap-918	113	82	�	�	PROPN
ap-918	113	83	�	�	PROPN
ap-918	113	84	just	just	ADV
ap-918	113	85	once	once	ADV
ap-918	113	86	.	.	PUNCT
ap-918	114	1	this	this	PRON
ap-918	114	2	is	be	AUX
ap-918	114	3	reflected	reflect	VERB
ap-918	114	4	by	by	ADP
ap-918	114	5	the	the	DET
ap-918	114	6	specific	specific	ADJ
ap-918	114	7	,	,	PUNCT
ap-918	114	8	“	"	PUNCT
ap-918	114	9	anisotropic	anisotropic	NOUN
ap-918	114	10	”	"	PUNCT
ap-918	114	11	form	form	NOUN
ap-918	114	12	of	of	ADP
ap-918	114	13	the	the	DET
ap-918	114	14	simplex	simplex	NOUN
ap-918	114	15	(	(	PUNCT
ap-918	114	16	15	15	NUM
ap-918	114	17	)	)	PUNCT
ap-918	114	18	.	.	PUNCT
ap-918	115	1	once	once	SCONJ
ap-918	115	2	we	we	PRON
ap-918	115	3	had	have	AUX
ap-918	115	4	revealed	reveal	VERB
ap-918	115	5	the	the	DET
ap-918	115	6	general	general	ADJ
ap-918	115	7	n	n	CCONJ
ap-918	115	8	-	-	PUNCT
ap-918	115	9	dependence	dependence	NOUN
ap-918	115	10	of	of	ADP
ap-918	115	11	the	the	DET
ap-918	115	12	similar	similar	ADJ
ap-918	115	13	formulae	formulae	NOUN
ap-918	115	14	,	,	PUNCT
ap-918	115	15	it	it	PRON
ap-918	115	16	was	be	AUX
ap-918	115	17	necessary	necessary	ADJ
ap-918	115	18	to	to	PART
ap-918	115	19	test	test	VERB
ap-918	115	20	these	these	DET
ap-918	115	21	conjectures	conjecture	NOUN
ap-918	115	22	.	.	PUNCT
ap-918	116	1	the	the	DET
ap-918	116	2	eight	eight	NUM
ap-918	116	3	by	by	ADP
ap-918	116	4	eight	eight	NUM
ap-918	116	5	model	model	NOUN
ap-918	116	6	with	with	ADP
ap-918	116	7	k	k	PROPN
ap-918	116	8	�	�	PROPN
ap-918	116	9	4	4	NUM
ap-918	116	10	played	play	VERB
ap-918	116	11	a	a	DET
ap-918	116	12	key	key	ADJ
ap-918	116	13	role	role	NOUN
ap-918	116	14	in	in	ADP
ap-918	116	15	it	it	PRON
ap-918	116	16	since	since	SCONJ
ap-918	116	17	the	the	DET
ap-918	116	18	complexity	complexity	NOUN
ap-918	116	19	of	of	ADP
ap-918	116	20	its	its	PRON
ap-918	116	21	non	non	ADJ
ap-918	116	22	-	-	ADJ
ap-918	116	23	numerical	numerical	ADJ
ap-918	116	24	description	description	NOUN
ap-918	116	25	is	be	AUX
ap-918	116	26	already	already	ADV
ap-918	116	27	quite	quite	ADV
ap-918	116	28	perceivable	perceivable	ADJ
ap-918	116	29	.	.	PUNCT
ap-918	117	1	the	the	DET
ap-918	117	2	situation	situation	NOUN
ap-918	117	3	is	be	AUX
ap-918	117	4	still	still	ADV
ap-918	117	5	not	not	PART
ap-918	117	6	bad	bad	ADJ
ap-918	117	7	when	when	SCONJ
ap-918	117	8	the	the	DET
ap-918	117	9	circumscribed	circumscribed	ADJ
ap-918	117	10	simplex	simplex	NOUN
ap-918	117	11	with	with	ADP
ap-918	117	12	the	the	DET
ap-918	117	13	definition	definition	NOUN
ap-918	117	14	a	a	PRON
ap-918	117	15	b	b	NOUN
ap-918	117	16	c	c	NOUN
ap-918	117	17	d	d	PROPN
ap-918	117	18	�	�	PROPN
ap-918	117	19	�	�	PROPN
ap-918	117	20	�	�	PROPN
ap-918	117	21	�	�	PROPN
ap-918	117	22	2	2	NUM
ap-918	117	23	2	2	NUM
ap-918	117	24	2	2	NUM
ap-918	117	25	84	84	NUM
ap-918	117	26	is	be	AUX
ap-918	117	27	sought	seek	VERB
ap-918	117	28	.	.	PUNCT
ap-918	118	1	the	the	DET
ap-918	118	2	subsequent	subsequent	ADJ
ap-918	118	3	eep	eep	NOUN
ap-918	118	4	construction	construction	NOUN
ap-918	118	5	is	be	AUX
ap-918	118	6	much	much	ADV
ap-918	118	7	more	more	ADV
ap-918	118	8	difficult	difficult	ADJ
ap-918	118	9	.	.	PUNCT
ap-918	119	1	it	it	PRON
ap-918	119	2	is	be	AUX
ap-918	119	3	based	base	VERB
ap-918	119	4	on	on	ADP
ap-918	119	5	simultaneous	simultaneous	ADJ
ap-918	119	6	solution	solution	NOUN
ap-918	119	7	of	of	ADP
ap-918	119	8	the	the	DET
ap-918	119	9	quadratic	quadratic	ADJ
ap-918	119	10	,	,	PUNCT
ap-918	119	11	cubic	cubic	ADJ
ap-918	119	12	and	and	CCONJ
ap-918	119	13	quartic	quartic	ADJ
ap-918	119	14	polynomial	polynomial	ADJ
ap-918	119	15	equations	equation	NOUN
ap-918	119	16	p	p	X
ap-918	119	17	a	a	DET
ap-918	119	18	b	b	PROPN
ap-918	119	19	c	c	X
ap-918	119	20	d2	d2	PROPN
ap-918	119	21	0	0	PROPN
ap-918	119	22	(	(	PUNCT
ap-918	119	23	,	,	PUNCT
ap-918	119	24	,	,	PUNCT
ap-918	119	25	,	,	PUNCT
ap-918	119	26	)	)	PUNCT
ap-918	119	27	�	�	PROPN
ap-918	119	28	,	,	PUNCT
ap-918	119	29	p	p	X
ap-918	119	30	a	a	DET
ap-918	119	31	b	b	NOUN
ap-918	119	32	c	c	NOUN
ap-918	119	33	d1	d1	PROPN
ap-918	119	34	0	0	NUM
ap-918	119	35	(	(	PUNCT
ap-918	119	36	,	,	PUNCT
ap-918	119	37	,	,	PUNCT
ap-918	119	38	,	,	PUNCT
ap-918	119	39	)	)	PUNCT
ap-918	119	40	�	�	PROPN
ap-918	119	41	,	,	PUNCT
ap-918	119	42	and	and	CCONJ
ap-918	119	43	p	p	X
ap-918	119	44	a	a	DET
ap-918	119	45	b	b	NOUN
ap-918	119	46	c	c	X
ap-918	119	47	d0	d0	NOUN
ap-918	119	48	0	0	PUNCT
ap-918	119	49	(	(	PUNCT
ap-918	119	50	,	,	PUNCT
ap-918	119	51	,	,	PUNCT
ap-918	119	52	,	,	PUNCT
ap-918	119	53	)	)	PUNCT
ap-918	119	54	�	�	PROPN
ap-918	119	55	containing	contain	VERB
ap-918	119	56	13	13	NUM
ap-918	119	57	,	,	PUNCT
ap-918	119	58	19	19	NUM
ap-918	119	59	and	and	CCONJ
ap-918	119	60	20	20	NUM
ap-918	119	61	individual	individual	ADJ
ap-918	119	62	terms	term	NOUN
ap-918	119	63	,	,	PUNCT
ap-918	119	64	respectively	respectively	ADV
ap-918	119	65	.	.	PUNCT
ap-918	120	1	just	just	ADV
ap-918	120	2	a	a	DET
ap-918	120	3	marginal	marginal	ADJ
ap-918	120	4	simplification	simplification	NOUN
ap-918	120	5	exists	exist	VERB
ap-918	120	6	,	,	PUNCT
ap-918	120	7	e.g.	e.g.	ADV
ap-918	120	8	,	,	PUNCT
ap-918	120	9	in	in	ADP
ap-918	120	10	the	the	DET
ap-918	120	11	p2	p2	PROPN
ap-918	120	12	–	–	PUNCT
ap-918	120	13	case	case	NOUN
ap-918	120	14	reducible	reducible	ADJ
ap-918	120	15	to	to	ADP
ap-918	120	16	the	the	DET
ap-918	120	17	9	9	NUM
ap-918	120	18	-	-	PUNCT
ap-918	120	19	term	term	NOUN
ap-918	120	20	equation	equation	NOUN
ap-918	120	21	1974	1974	NUM
ap-918	121	1	2	2	NUM
ap-918	121	2	2	2	NUM
ap-918	121	3	2	2	NUM
ap-918	121	4	83	83	NUM
ap-918	121	5	142	142	NUM
ap-918	121	6	70	70	NUM
ap-918	121	7	50	50	NUM
ap-918	121	8	2	2	NUM
ap-918	121	9	�	�	PROPN
ap-918	121	10	�	�	PROPN
ap-918	121	11	�	�	PROPN
ap-918	121	12	�	�	PROPN
ap-918	121	13	�	�	PROPN
ap-918	121	14	�	�	PROPN
ap-918	121	15	�	�	PROPN
ap-918	121	16	�	�	PROPN
ap-918	121	17	�	�	PROPN
ap-918	121	18	�	�	PROPN
ap-918	121	19	(	(	PUNCT
ap-918	121	20	)	)	PUNCT
ap-918	121	21	b	b	X
ap-918	122	1	c	c	NOUN
ap-918	122	2	d	d	X
ap-918	122	3	ad	ad	NOUN
ap-918	122	4	bd	bd	PROPN
ap-918	122	5	ac	ac	PROPN
ap-918	122	6	a	a	DET
ap-918	122	7	b	b	NOUN
ap-918	122	8	c	c	NOUN
ap-918	122	9	d	d	NOUN
ap-918	122	10	still	still	ADV
ap-918	122	11	,	,	PUNCT
ap-918	122	12	a	a	DET
ap-918	122	13	decisive	decisive	ADJ
ap-918	122	14	formal	formal	ADJ
ap-918	122	15	merit	merit	NOUN
ap-918	122	16	of	of	ADP
ap-918	122	17	our	our	PRON
ap-918	122	18	model	model	NOUN
ap-918	122	19	is	be	AUX
ap-918	122	20	reflected	reflect	VERB
ap-918	122	21	by	by	ADP
ap-918	122	22	the	the	DET
ap-918	122	23	survival	survival	NOUN
ap-918	122	24	of	of	ADP
ap-918	122	25	the	the	DET
ap-918	122	26	simplicity	simplicity	NOUN
ap-918	122	27	of	of	ADP
ap-918	122	28	the	the	DET
ap-918	122	29	final	final	ADJ
ap-918	122	30	formula	formula	NOUN
ap-918	122	31	a	a	DET
ap-918	122	32	b	b	NOUN
ap-918	122	33	c	c	NOUN
ap-918	122	34	d	d	PROPN
ap-918	122	35	n	n	CCONJ
ap-918	122	36	(	(	PUNCT
ap-918	122	37	)	)	PUNCT
ap-918	122	38	(	(	PUNCT
ap-918	122	39	)	)	PUNCT
ap-918	122	40	(	(	PUNCT
ap-918	122	41	)	)	PUNCT
ap-918	122	42	(	(	PUNCT
ap-918	122	43	)	)	PUNCT
ap-918	122	44	,	,	PUNCT
ap-918	122	45	,	,	PUNCT
ap-918	122	46	,	,	PUNCT
ap-918	122	47	,	,	PUNCT
ap-918	122	48	eep	eep	PROPN
ap-918	122	49	eep	eep	PROPN
ap-918	122	50	eep	eep	PROPN
ap-918	122	51	eep	eep	PROPN
ap-918	122	52	�	�	PROPN
ap-918	122	53	�	�	PROPN
ap-918	122	54	�	�	PROPN
ap-918	122	55	�	�	PROPN
ap-918	122	56	�	�	PROPN
ap-918	122	57	16	16	NUM
ap-918	122	58	15	15	NUM
ap-918	122	59	12	12	NUM
ap-918	122	60	7	7	NUM
ap-918	122	61	8	8	NUM
ap-918	122	62	.	.	PUNCT
ap-918	123	1	(	(	PUNCT
ap-918	123	2	19	19	NUM
ap-918	123	3	)	)	PUNCT
ap-918	123	4	12	12	NUM
ap-918	123	5	©	©	PROPN
ap-918	123	6	czech	czech	PROPN
ap-918	123	7	technical	technical	PROPN
ap-918	123	8	university	university	PROPN
ap-918	123	9	publishing	publishing	NOUN
ap-918	123	10	house	house	NOUN
ap-918	123	11	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-918	123	12	acta	acta	PROPN
ap-918	123	13	polytechnica	polytechnica	PROPN
ap-918	123	14	vol	vol	NOUN
ap-918	123	15	.	.	PUNCT
ap-918	124	1	47	47	NUM
ap-918	124	2	no	no	NOUN
ap-918	124	3	.	.	PUNCT
ap-918	125	1	2–3/2007	2–3/2007	NUM
ap-918	125	2	in	in	ADP
ap-918	125	3	a	a	DET
ap-918	125	4	test	test	NOUN
ap-918	125	5	of	of	ADP
ap-918	125	6	the	the	DET
ap-918	125	7	uniqueness	uniqueness	NOUN
ap-918	125	8	of	of	ADP
ap-918	125	9	solution	solution	NOUN
ap-918	125	10	(	(	PUNCT
ap-918	125	11	19	19	NUM
ap-918	125	12	)	)	PUNCT
ap-918	125	13	one	one	NOUN
ap-918	125	14	finds	find	VERB
ap-918	125	15	out	out	ADP
ap-918	125	16	that	that	SCONJ
ap-918	125	17	it	it	PRON
ap-918	125	18	possesses	possess	VERB
ap-918	125	19	seven	seven	NUM
ap-918	125	20	real	real	ADJ
ap-918	125	21	and	and	CCONJ
ap-918	125	22	positive	positive	ADJ
ap-918	125	23	roots	root	NOUN
ap-918	125	24	d.	d.	PROPN
ap-918	125	25	out	out	ADP
ap-918	125	26	of	of	ADP
ap-918	125	27	these	these	PRON
ap-918	125	28	,	,	PUNCT
ap-918	125	29	the	the	DET
ap-918	125	30	following	follow	VERB
ap-918	125	31	three	three	NUM
ap-918	125	32	of	of	ADP
ap-918	125	33	them	they	PRON
ap-918	125	34	are	be	AUX
ap-918	125	35	negative	negative	ADJ
ap-918	125	36	and	and	CCONJ
ap-918	125	37	,	,	PUNCT
ap-918	125	38	hence	hence	ADV
ap-918	125	39	,	,	PUNCT
ap-918	125	40	manifestly	manifestly	ADV
ap-918	125	41	spurious,	spurious,	VERB
ap-918	125	42	�	�	NOUN
ap-918	125	43	203.9747095	203.9747095	NUM
ap-918	125	44	,	,	PUNCT
ap-918	125	45	�	�	NOUN
ap-918	125	46	156.6667001	156.6667001	NUM
ap-918	125	47	,	,	PUNCT
ap-918	125	48	�	�	PROPN
ap-918	125	49	55.49992441	55.49992441	NUM
ap-918	125	50	.	.	PUNCT
ap-918	126	1	the	the	DET
ap-918	126	2	proof	proof	NOUN
ap-918	126	3	of	of	ADP
ap-918	126	4	the	the	DET
ap-918	126	5	spuriosity	spuriosity	NOUN
ap-918	126	6	for	for	ADP
ap-918	126	7	the	the	DET
ap-918	126	8	remaining	remain	VERB
ap-918	126	9	four	four	NUM
ap-918	126	10	roots	root	NOUN
ap-918	126	11	0.4192854385	0.4192854385	NUM
ap-918	126	12	,	,	PUNCT
ap-918	126	13	5.354156128	5.354156128	NUM
ap-918	126	14	,	,	PUNCT
ap-918	126	15	1354.675195	1354.675195	NOUN
ap-918	126	16	and	and	CCONJ
ap-918	126	17	,	,	PUNCT
ap-918	126	18	however	however	ADV
ap-918	126	19	straightforward	straightforward	ADJ
ap-918	126	20	,	,	PUNCT
ap-918	126	21	becomes	become	VERB
ap-918	126	22	unpleasant	unpleasant	ADJ
ap-918	126	23	and	and	CCONJ
ap-918	126	24	clumsy	clumsy	ADJ
ap-918	126	25	.	.	PUNCT
ap-918	127	1	for	for	ADP
ap-918	127	2	example	example	NOUN
ap-918	127	3	,	,	PUNCT
ap-918	127	4	the	the	DET
ap-918	127	5	values	value	NOUN
ap-918	127	6	of	of	ADP
ap-918	127	7	a	a	PRON
ap-918	127	8	are	be	AUX
ap-918	127	9	given	give	VERB
ap-918	127	10	by	by	ADP
ap-918	127	11	the	the	DET
ap-918	127	12	rule	rule	NOUN
ap-918	127	13	×a	×a	PRON
ap-918	127	14	�	�	PROPN
ap-918	127	15	(	(	PUNCT
ap-918	127	16	a	a	DET
ap-918	127	17	polynomial	polynomial	NOUN
ap-918	127	18	in	in	ADP
ap-918	127	19	d	d	PROPN
ap-918	127	20	of	of	ADP
ap-918	127	21	16th	16th	ADJ
ap-918	127	22	degree	degree	NOUN
ap-918	127	23	)	)	PUNCT
ap-918	127	24	where	where	SCONJ
ap-918	127	25	the	the	DET
ap-918	127	26	number	number	NOUN
ap-918	127	27	of	of	ADP
ap-918	127	28	digits	digit	NOUN
ap-918	127	29	in	in	ADP
ap-918	127	30	the	the	DET
ap-918	127	31	auxiliary	auxiliary	ADJ
ap-918	127	32	integer	integer	NOUN
ap-918	127	33	constant	constant	ADJ
ap-918	127	34	exceeds	exceed	VERB
ap-918	127	35	one	one	NUM
ap-918	127	36	hundred	hundred	NUM
ap-918	127	37	.	.	PUNCT
ap-918	128	1	12	12	NUM
ap-918	128	2	odd	odd	ADJ
ap-918	128	3	dimensions	dimension	NOUN
ap-918	128	4	and	and	CCONJ
ap-918	128	5	the	the	DET
ap-918	128	6	test	test	NOUN
ap-918	128	7	at	at	ADP
ap-918	128	8	n	n	X
ap-918	128	9	�	�	PROPN
ap-918	128	10	9	9	NUM
ap-918	128	11	it	it	PRON
ap-918	128	12	remains	remain	VERB
ap-918	128	13	for	for	SCONJ
ap-918	128	14	us	we	PRON
ap-918	128	15	to	to	PART
ap-918	128	16	discuss	discuss	VERB
ap-918	128	17	the	the	DET
ap-918	128	18	models	model	NOUN
ap-918	128	19	with	with	ADP
ap-918	128	20	odd	odd	ADJ
ap-918	128	21	dimensions	dimension	NOUN
ap-918	128	22	n	n	PRON
ap-918	128	23	�	�	PROPN
ap-918	128	24	2m	2m	NUM
ap-918	128	25	�	�	NOUN
ap-918	128	26	1	1	NUM
ap-918	128	27	,	,	PUNCT
ap-918	128	28	h	h	NOUN
ap-918	128	29	m	m	NOUN
ap-918	128	30	z	z	NOUN
ap-918	128	31	z	z	NOUN
ap-918	128	32	a	a	PRON
ap-918	128	33	a	a	DET
ap-918	128	34	a	a	DET
ap-918	128	35	a	a	PRON
ap-918	128	36	m	m	NOUN
ap-918	128	37	(	(	PUNCT
ap-918	128	38	)	)	PUNCT
ap-918	128	39	2	2	NUM
ap-918	128	40	1	1	NUM
ap-918	128	41	2	2	NUM
ap-918	128	42	0	0	NUM
ap-918	128	43	0	0	NUM
ap-918	128	44	0	0	NUM
ap-918	128	45	0	0	NUM
ap-918	128	46	0	0	NUM
ap-918	128	47	0	0	NUM
ap-918	128	48	0	0	NUM
ap-918	128	49	0	0	NUM
ap-918	128	50	0	0	NUM
ap-918	128	51	0	0	NUM
ap-918	128	52	2	2	NUM
ap-918	128	53	0	0	NUM
ap-918	128	54	0	0	NUM
ap-918	128	55	0	0	NUM
ap-918	128	56	0	0	NUM
ap-918	128	57	0	0	NUM
ap-918	128	58	0	0	NUM
ap-918	128	59	0	0	NUM
ap-918	128	60	0	0	NUM
ap-918	128	61	0	0	NUM
ap-918	128	62	0	0	NUM
ap-918	128	63	0	0	NUM
ap-918	128	64	2	2	NUM
ap-918	128	65	0	0	NUM
ap-918	128	66	0	0	NUM
ap-918	128	67	0	0	NUM
ap-918	128	68	�	�	PROPN
ap-918	128	69	�	�	PROPN
ap-918	128	70	�	�	PROPN
ap-918	128	71	�	�	PROPN
ap-918	128	72	�	�	PROPN
ap-918	128	73	�	�	PROPN
ap-918	128	74	�	�	PROPN
ap-918	128	75	�	�	PROPN
ap-918	128	76	�	�	PROPN
ap-918	128	77	�	�	PROPN
ap-918	128	78	0	0	NUM
ap-918	128	79	0	0	NUM
ap-918	128	80	0	0	NUM
ap-918	128	81	0	0	NUM
ap-918	128	82	0	0	NUM
ap-918	128	83	0	0	NUM
ap-918	128	84	0	0	NUM
ap-918	128	85	2	2	NUM
ap-918	128	86	�	�	PROPN
ap-918	128	87	�	�	PROPN
ap-918	128	88	z	z	PROPN
ap-918	128	89	z	z	NOUN
ap-918	128	90	m	m	PROPN
ap-918	128	91	�	�	PROPN
ap-918	128	92	�	�	PROPN
ap-918	128	93	�	�	PROPN
ap-918	128	94	�	�	PROPN
ap-918	128	95	�	�	PROPN
ap-918	128	96	�	�	PROPN
ap-918	128	97	�	�	PROPN
ap-918	128	98	�	�	PROPN
ap-918	128	99	�	�	PROPN
ap-918	128	100	�	�	PROPN
ap-918	128	101	�	�	PROPN
ap-918	128	102	�	�	PROPN
ap-918	128	103	�	�	PROPN
ap-918	128	104	�	�	PROPN
ap-918	128	105	�	�	PROPN
ap-918	128	106	�	�	PROPN
ap-918	128	107	�	�	PROPN
ap-918	128	108	�	�	PROPN
ap-918	128	109	�	�	PROPN
ap-918	128	110	�	�	PROPN
ap-918	128	111	�	�	PROPN
ap-918	128	112	�	�	PROPN
ap-918	128	113	�	�	PROPN
ap-918	128	114	and	and	CCONJ
ap-918	128	115	to	to	PART
ap-918	128	116	test	test	VERB
ap-918	128	117	and	and	CCONJ
ap-918	128	118	verify	verify	VERB
ap-918	128	119	the	the	DET
ap-918	128	120	validity	validity	NOUN
ap-918	128	121	of	of	ADP
ap-918	128	122	the	the	DET
ap-918	128	123	extrapolated	extrapolated	ADJ
ap-918	128	124	formulae	formulae	NOUN
ap-918	128	125	at	at	ADP
ap-918	128	126	n	n	X
ap-918	128	127	�	�	PROPN
ap-918	128	128	9	9	NUM
ap-918	128	129	.	.	PUNCT
ap-918	129	1	at	at	ADP
ap-918	129	2	m	m	PROPN
ap-918	129	3	�	�	PROPN
ap-918	129	4	4	4	NUM
ap-918	129	5	we	we	PRON
ap-918	129	6	were	be	AUX
ap-918	129	7	still	still	ADV
ap-918	129	8	able	able	ADJ
ap-918	129	9	to	to	PART
ap-918	129	10	evaluate	evaluate	VERB
ap-918	129	11	the	the	DET
ap-918	129	12	explicit	explicit	ADJ
ap-918	129	13	form	form	NOUN
ap-918	129	14	of	of	ADP
ap-918	129	15	the	the	DET
ap-918	129	16	secular	secular	ADJ
ap-918	129	17	equation	equation	NOUN
ap-918	129	18	,	,	PUNCT
ap-918	129	19	14745600	14745600	NUM
ap-918	129	20	7372800	7372800	NUM
ap-918	129	21	2	2	NUM
ap-918	129	22	220	220	NUM
ap-918	129	23	2	2	NUM
ap-918	129	24	2	2	NUM
ap-918	129	25	2	2	NUM
ap-918	129	26	04	04	NUM
ap-918	129	27	5	5	NUM
ap-918	129	28	�	�	PROPN
ap-918	129	29	�	�	PROPN
ap-918	129	30	�	�	PROPN
ap-918	129	31	�	�	PROPN
ap-918	129	32	�	�	PROPN
ap-918	129	33	�	�	PROPN
ap-918	129	34	�	�	PROPN
ap-918	129	35	�	�	PROPN
ap-918	129	36	�	�	PROPN
ap-918	129	37	�	�	PROPN
ap-918	129	38	a	a	DET
ap-918	129	39	c	c	PROPN
ap-918	129	40	b	b	PROPN
ap-918	130	1	a	a	DET
ap-918	130	2	d	d	X
ap-918	130	3	s	s	PROPN
ap-918	130	4	s	s	X
ap-918	130	5	�	�	PROPN
ap-918	130	6	(	(	PUNCT
ap-918	130	7	)	)	PUNCT
ap-918	130	8	and	and	CCONJ
ap-918	130	9	to	to	PART
ap-918	130	10	re	re	VERB
ap-918	130	11	-	-	VERB
ap-918	130	12	derive	derive	VERB
ap-918	130	13	the	the	DET
ap-918	130	14	expected	expect	VERB
ap-918	130	15	m	m	VERB
ap-918	130	16	�	�	PROPN
ap-918	130	17	4	4	NUM
ap-918	130	18	eep	eep	NOUN
ap-918	130	19	values	value	NOUN
ap-918	130	20	by	by	ADP
ap-918	130	21	its	its	PRON
ap-918	130	22	direct	direct	ADJ
ap-918	130	23	solution	solution	NOUN
ap-918	130	24	,	,	PUNCT
ap-918	130	25	a	a	DET
ap-918	130	26	b	b	NOUN
ap-918	130	27	c	c	NOUN
ap-918	130	28	d	d	PROPN
ap-918	130	29	n	n	PROPN
ap-918	130	30	(	(	PUNCT
ap-918	130	31	)	)	PUNCT
ap-918	130	32	(	(	PUNCT
ap-918	130	33	)	)	PUNCT
ap-918	130	34	(	(	PUNCT
ap-918	130	35	)	)	PUNCT
ap-918	130	36	(	(	PUNCT
ap-918	130	37	)	)	PUNCT
ap-918	130	38	,	,	PUNCT
ap-918	130	39	,	,	PUNCT
ap-918	130	40	,	,	PUNCT
ap-918	130	41	,	,	PUNCT
ap-918	130	42	.	.	PUNCT
ap-918	131	1	eep	eep	PROPN
ap-918	131	2	eep	eep	PROPN
ap-918	131	3	eep	eep	PROPN
ap-918	131	4	eep	eep	PROPN
ap-918	131	5	�	�	PROPN
ap-918	131	6	�	�	PROPN
ap-918	131	7	�	�	PROPN
ap-918	131	8	�	�	PROPN
ap-918	131	9	�	�	PROPN
ap-918	131	10	20	20	NUM
ap-918	131	11	18	18	NUM
ap-918	131	12	14	14	NUM
ap-918	131	13	8	8	NUM
ap-918	131	14	9	9	NUM
ap-918	131	15	(	(	PUNCT
ap-918	131	16	20	20	NUM
ap-918	131	17	)	)	PUNCT
ap-918	131	18	at	at	ADP
ap-918	131	19	a	a	DET
ap-918	131	20	few	few	ADJ
ap-918	131	21	higher	high	ADJ
ap-918	131	22	m>4	m>4	NOUN
ap-918	131	23	we	we	PRON
ap-918	131	24	just	just	ADV
ap-918	131	25	re	re	VERB
ap-918	131	26	-	-	VERB
ap-918	131	27	confirmed	confirm	VERB
ap-918	131	28	the	the	DET
ap-918	131	29	validity	validity	NOUN
ap-918	131	30	of	of	ADP
ap-918	131	31	the	the	DET
ap-918	131	32	extrapolated	extrapolated	ADJ
ap-918	131	33	formulae	formulae	NOUN
ap-918	131	34	(	(	PUNCT
ap-918	131	35	18	18	NUM
ap-918	131	36	)	)	PUNCT
ap-918	131	37	by	by	ADP
ap-918	131	38	their	their	PRON
ap-918	131	39	insertion	insertion	NOUN
ap-918	131	40	in	in	ADP
ap-918	131	41	secular	secular	ADJ
ap-918	131	42	equations	equation	NOUN
ap-918	131	43	.	.	PUNCT
ap-918	132	1	acknowledgment	acknowledgment	NOUN
ap-918	132	2	this	this	DET
ap-918	132	3	work	work	NOUN
ap-918	132	4	has	have	AUX
ap-918	132	5	been	be	AUX
ap-918	132	6	supported	support	VERB
ap-918	132	7	by	by	ADP
ap-918	132	8	the	the	DET
ap-918	132	9	mšmt	mšmt	ADJ
ap-918	132	10	doppler	doppler	NOUN
ap-918	132	11	institute	institute	PROPN
ap-918	132	12	project	project	PROPN
ap-918	132	13	nr	nr	PROPN
ap-918	132	14	.	.	PROPN
ap-918	132	15	lc06002	lc06002	PROPN
ap-918	132	16	,	,	PUNCT
ap-918	132	17	by	by	ADP
ap-918	132	18	the	the	DET
ap-918	132	19	institutional	institutional	ADJ
ap-918	132	20	research	research	NOUN
ap-918	132	21	plan	plan	NOUN
ap-918	132	22	av0z10480505	av0z10480505	PROPN
ap-918	132	23	and	and	CCONJ
ap-918	132	24	by	by	ADP
ap-918	132	25	gačr	gačr	PROPN
ap-918	132	26	grant	grant	PROPN
ap-918	132	27	nr	nr	PROPN
ap-918	132	28	.	.	PUNCT
ap-918	132	29	202/07/1307	202/07/1307	NUM
ap-918	132	30	.	.	PUNCT
ap-918	133	1	references	reference	NOUN
ap-918	133	2	[	[	X
ap-918	133	3	1	1	NUM
ap-918	133	4	]	]	X
ap-918	133	5	styer	styer	PROPN
ap-918	133	6	,	,	PUNCT
ap-918	133	7	d.	d.	PROPN
ap-918	133	8	f.	f.	PROPN
ap-918	133	9	et	et	PROPN
ap-918	133	10	al	al	PROPN
ap-918	133	11	.	.	PROPN
ap-918	133	12	:	:	PUNCT
ap-918	133	13	nine	nine	NUM
ap-918	133	14	formulations	formulation	NOUN
ap-918	133	15	of	of	ADP
ap-918	133	16	quantum	quantum	NOUN
ap-918	133	17	mechanics	mechanic	NOUN
ap-918	133	18	,	,	PUNCT
ap-918	133	19	amer	amer	PROPN
ap-918	133	20	.	.	PUNCT
ap-918	134	1	j.	j.	PROPN
ap-918	134	2	phys	phys	PROPN
ap-918	134	3	.	.	PUNCT
ap-918	135	1	vol	vol	NOUN
ap-918	135	2	.	.	PUNCT
ap-918	136	1	70	70	NUM
ap-918	136	2	(	(	PUNCT
ap-918	136	3	2002	2002	NUM
ap-918	136	4	)	)	PUNCT
ap-918	136	5	,	,	PUNCT
ap-918	137	1	p.	p.	NOUN
ap-918	137	2	288	288	NUM
ap-918	137	3	.	.	PUNCT
ap-918	138	1	[	[	X
ap-918	138	2	2	2	NUM
ap-918	138	3	]	]	X
ap-918	138	4	scholtz	scholtz	PROPN
ap-918	138	5	,	,	PUNCT
ap-918	138	6	f.	f.	PROPN
ap-918	138	7	g.	g.	PROPN
ap-918	138	8	,	,	PUNCT
ap-918	138	9	geyer	geyer	PROPN
ap-918	138	10	,	,	PUNCT
ap-918	138	11	h.	h.	PROPN
ap-918	138	12	b.	b.	PROPN
ap-918	138	13	,	,	PUNCT
ap-918	138	14	hahne	hahne	PROPN
ap-918	138	15	,	,	PUNCT
ap-918	138	16	f.	f.	PROPN
ap-918	138	17	j.	j.	PROPN
ap-918	138	18	w.	w.	PROPN
ap-918	138	19	:	:	PUNCT
ap-918	138	20	quasi	quasi	ADJ
ap-918	138	21	-	-	ADJ
ap-918	138	22	hermitian	hermitian	ADJ
ap-918	138	23	operators	operator	NOUN
ap-918	138	24	in	in	ADP
ap-918	138	25	quantum	quantum	ADJ
ap-918	138	26	mechanics	mechanic	NOUN
ap-918	138	27	and	and	CCONJ
ap-918	138	28	the	the	DET
ap-918	138	29	variational	variational	ADJ
ap-918	138	30	principle	principle	NOUN
ap-918	138	31	,	,	PUNCT
ap-918	138	32	ann	ann	PROPN
ap-918	138	33	.	.	PUNCT
ap-918	138	34	phys	phys	PROPN
ap-918	138	35	.	.	PUNCT
ap-918	139	1	(	(	PUNCT
ap-918	139	2	ny	ny	NOUN
ap-918	139	3	)	)	PUNCT
ap-918	139	4	,	,	PUNCT
ap-918	139	5	vol	vol	NOUN
ap-918	139	6	.	.	PROPN
ap-918	139	7	213	213	NUM
ap-918	139	8	(	(	PUNCT
ap-918	139	9	1992	1992	NUM
ap-918	139	10	)	)	PUNCT
ap-918	140	1	p.	p.	NOUN
ap-918	140	2	74–101	74–101	NUM
ap-918	140	3	.	.	PUNCT
ap-918	141	1	[	[	X
ap-918	141	2	3	3	NUM
ap-918	141	3	]	]	X
ap-918	141	4	cf	cf	NOUN
ap-918	141	5	.	.	PUNCT
ap-918	142	1	http://www.mth.kcl.ac.uk/~streater/lostcauses.html#xiii	http://www.mth.kcl.ac.uk/~streater/lostcauses.html#xiii	X
ap-918	143	1	[	[	X
ap-918	143	2	4	4	NUM
ap-918	143	3	]	]	X
ap-918	143	4	bender	bender	NOUN
ap-918	143	5	,	,	PUNCT
ap-918	143	6	c.	c.	PROPN
ap-918	143	7	m.	m.	PROPN
ap-918	143	8	,	,	PUNCT
ap-918	143	9	boettcher	boettcher	PROPN
ap-918	143	10	,	,	PUNCT
ap-918	143	11	s.	s.	PROPN
ap-918	143	12	:	:	PUNCT
ap-918	143	13	real	real	ADJ
ap-918	143	14	spectra	spectra	NOUN
ap-918	143	15	in	in	ADP
ap-918	143	16	non	non	ADJ
ap-918	143	17	-	-	ADJ
ap-918	143	18	hermitian	hermitian	ADJ
ap-918	143	19	hamiltonians	hamiltonian	NOUN
ap-918	143	20	having	have	VERB
ap-918	143	21	�	�	PROPN
ap-918	143	22	�	�	PROPN
ap-918	143	23	-symmetry	-symmetry	PROPN
ap-918	143	24	,	,	PUNCT
ap-918	143	25	phys	phy	NOUN
ap-918	143	26	.	.	PUNCT
ap-918	144	1	rev	rev	PROPN
ap-918	144	2	.	.	PROPN
ap-918	144	3	lett	lett	PROPN
ap-918	144	4	.	.	PUNCT
ap-918	145	1	vol	vol	NOUN
ap-918	145	2	.	.	PROPN
ap-918	146	1	80	80	NUM
ap-918	146	2	(	(	PUNCT
ap-918	146	3	1998	1998	NUM
ap-918	146	4	)	)	PUNCT
ap-918	146	5	,	,	PUNCT
ap-918	147	1	p.	p.	NOUN
ap-918	147	2	5243–5246	5243–5246	NUM
ap-918	147	3	.	.	PUNCT
ap-918	148	1	[	[	X
ap-918	148	2	5	5	NUM
ap-918	148	3	]	]	X
ap-918	148	4	bender	bender	NOUN
ap-918	148	5	,	,	PUNCT
ap-918	148	6	c.	c.	PROPN
ap-918	148	7	m.	m.	PROPN
ap-918	148	8	,	,	PUNCT
ap-918	148	9	turbiner	turbiner	NOUN
ap-918	148	10	,	,	PUNCT
ap-918	148	11	a.	a.	NOUN
ap-918	148	12	:	:	PUNCT
ap-918	148	13	analytic	analytic	ADJ
ap-918	148	14	continuation	continuation	NOUN
ap-918	148	15	of	of	ADP
ap-918	148	16	eigenvalue	eigenvalue	PROPN
ap-918	148	17	problems	problem	NOUN
ap-918	148	18	,	,	PUNCT
ap-918	148	19	phys	phy	NOUN
ap-918	148	20	.	.	PUNCT
ap-918	149	1	lett	lett	PROPN
ap-918	149	2	.	.	PUNCT
ap-918	150	1	a	a	DET
ap-918	150	2	vol	vol	NOUN
ap-918	150	3	.	.	PUNCT
ap-918	151	1	173	173	NUM
ap-918	151	2	(	(	PUNCT
ap-918	151	3	1993	1993	NUM
ap-918	151	4	)	)	PUNCT
ap-918	151	5	,	,	PUNCT
ap-918	152	1	p.	p.	NOUN
ap-918	152	2	442	442	NUM
ap-918	152	3	;	;	PUNCT
ap-918	152	4	a.	a.	NOUN
ap-918	152	5	turbiner	turbiner	NOUN
ap-918	152	6	,	,	PUNCT
ap-918	152	7	private	private	ADJ
ap-918	152	8	communication	communication	NOUN
ap-918	152	9	(	(	PUNCT
ap-918	152	10	april	april	PROPN
ap-918	152	11	/	/	SYM
ap-918	152	12	may	may	PROPN
ap-918	152	13	,	,	PUNCT
ap-918	152	14	2000	2000	NUM
ap-918	152	15	)	)	PUNCT
ap-918	152	16	.	.	PUNCT
ap-918	153	1	[	[	X
ap-918	153	2	6	6	NUM
ap-918	153	3	]	]	PUNCT
ap-918	153	4	buslaev	buslaev	NOUN
ap-918	153	5	,	,	PUNCT
ap-918	153	6	v.	v.	ADV
ap-918	153	7	,	,	PUNCT
ap-918	153	8	grecchi	grecchi	NOUN
ap-918	153	9	,	,	PUNCT
ap-918	153	10	v.	v.	ADJ
ap-918	153	11	:	:	PUNCT
ap-918	153	12	equivalence	equivalence	NOUN
ap-918	153	13	of	of	ADP
ap-918	153	14	unstable	unstable	ADJ
ap-918	153	15	anharmonic	anharmonic	ADJ
ap-918	153	16	oscillators	oscillator	NOUN
ap-918	153	17	and	and	CCONJ
ap-918	153	18	double	double	ADJ
ap-918	153	19	wells	well	NOUN
ap-918	153	20	,	,	PUNCT
ap-918	153	21	j.	j.	PROPN
ap-918	153	22	phys	phys	PROPN
ap-918	153	23	.	.	PUNCT
ap-918	154	1	a	a	DET
ap-918	154	2	:	:	PUNCT
ap-918	154	3	math	math	NOUN
ap-918	154	4	.	.	PUNCT
ap-918	155	1	gen	gen	PROPN
ap-918	155	2	.	.	PROPN
ap-918	155	3	vol	vol	NOUN
ap-918	155	4	.	.	PROPN
ap-918	155	5	26	26	NUM
ap-918	155	6	(	(	PUNCT
ap-918	155	7	1993	1993	NUM
ap-918	155	8	)	)	PUNCT
ap-918	155	9	,	,	PUNCT
ap-918	155	10	p.	p.	NOUN
ap-918	155	11	5541–5549	5541–5549	NUM
ap-918	155	12	;	;	PUNCT
ap-918	155	13	v.	v.	ADP
ap-918	155	14	grecchi	grecchi	NOUN
ap-918	155	15	,	,	PUNCT
ap-918	155	16	private	private	ADJ
ap-918	155	17	communication	communication	NOUN
ap-918	155	18	(	(	PUNCT
ap-918	155	19	february	february	PROPN
ap-918	155	20	,	,	PUNCT
ap-918	155	21	2000	2000	NUM
ap-918	155	22	)	)	PUNCT
ap-918	155	23	.	.	PUNCT
ap-918	156	1	[	[	X
ap-918	156	2	7	7	NUM
ap-918	156	3	]	]	X
ap-918	156	4	znojil	znojil	NOUN
ap-918	156	5	,	,	PUNCT
ap-918	156	6	m.	m.	NOUN
ap-918	156	7	:	:	PUNCT
ap-918	156	8	should	should	AUX
ap-918	156	9	�	�	VERB
ap-918	156	10	�	�	PROPN
ap-918	156	11	-symmetric	-symmetric	ADJ
ap-918	156	12	quantum	quantum	NOUN
ap-918	156	13	mechanics	mechanic	NOUN
ap-918	156	14	be	be	AUX
ap-918	156	15	interpreted	interpret	VERB
ap-918	156	16	as	as	ADP
ap-918	156	17	nonlinear	nonlinear	ADJ
ap-918	156	18	?	?	PUNCT
ap-918	156	19	,	,	PUNCT
ap-918	156	20	j.	j.	PROPN
ap-918	156	21	nonlin	nonlin	PROPN
ap-918	156	22	.	.	PUNCT
ap-918	156	23	math	math	NOUN
ap-918	156	24	.	.	PUNCT
ap-918	157	1	phys	phy	NOUN
ap-918	157	2	.	.	PUNCT
ap-918	158	1	vol	vol	NOUN
ap-918	158	2	.	.	PROPN
ap-918	158	3	9	9	NUM
ap-918	158	4	,	,	PUNCT
ap-918	158	5	suppl	suppl	ADJ
ap-918	158	6	.	.	X
ap-918	158	7	2	2	NUM
ap-918	158	8	(	(	PUNCT
ap-918	158	9	2002	2002	NUM
ap-918	158	10	)	)	PUNCT
ap-918	158	11	,	,	PUNCT
ap-918	159	1	p.	p.	NOUN
ap-918	159	2	122–133	122–133	NUM
ap-918	159	3	(	(	PUNCT
ap-918	159	4	quant	quant	NOUN
ap-918	159	5	-	-	PUNCT
ap-918	159	6	ph/0103054	ph/0103054	NOUN
ap-918	159	7	)	)	PUNCT
ap-918	159	8	.	.	PUNCT
ap-918	160	1	[	[	X
ap-918	160	2	8	8	NUM
ap-918	160	3	]	]	X
ap-918	160	4	znojil	znojil	NOUN
ap-918	160	5	,	,	PUNCT
ap-918	160	6	m.	m.	NOUN
ap-918	160	7	:	:	PUNCT
ap-918	160	8	conservation	conservation	NOUN
ap-918	160	9	of	of	ADP
ap-918	160	10	pseudo	pseudo	NOUN
ap-918	160	11	-	-	NOUN
ap-918	160	12	norm	norm	NOUN
ap-918	160	13	in	in	ADP
ap-918	160	14	�	�	PROPN
ap-918	160	15	�	�	NOUN
ap-918	160	16	-symmetric	-symmetric	ADJ
ap-918	160	17	quantum	quantum	NOUN
ap-918	160	18	mechanics	mechanic	NOUN
ap-918	160	19	,	,	PUNCT
ap-918	160	20	rendiconti	rendiconti	ADJ
ap-918	160	21	del	del	PROPN
ap-918	160	22	circ	circ	NOUN
ap-918	160	23	.	.	PUNCT
ap-918	161	1	mat	mat	PROPN
ap-918	161	2	.	.	PROPN
ap-918	161	3	di	di	PROPN
ap-918	161	4	palermo	palermo	PROPN
ap-918	161	5	,	,	PUNCT
ap-918	161	6	ser	ser	PROPN
ap-918	161	7	.	.	PROPN
ap-918	161	8	ii	ii	PROPN
ap-918	161	9	,	,	PUNCT
ap-918	161	10	suppl	suppl	PROPN
ap-918	161	11	.	.	PUNCT
ap-918	161	12	72	72	NUM
ap-918	161	13	(	(	PUNCT
ap-918	161	14	2004	2004	NUM
ap-918	161	15	)	)	PUNCT
ap-918	161	16	,	,	PUNCT
ap-918	161	17	p.	p.	NOUN
ap-918	161	18	211–218	211–218	NUM
ap-918	161	19	,	,	PUNCT
ap-918	161	20	(	(	PUNCT
ap-918	161	21	math	math	NOUN
ap-918	161	22	-	-	PUNCT
ap-918	161	23	ph/0104012	ph/0104012	NOUN
ap-918	161	24	)	)	PUNCT
ap-918	161	25	.	.	PUNCT
ap-918	162	1	[	[	X
ap-918	162	2	9	9	NUM
ap-918	162	3	]	]	X
ap-918	162	4	bagchi	bagchi	NOUN
ap-918	162	5	,	,	PUNCT
ap-918	162	6	b.	b.	PROPN
ap-918	162	7	,	,	PUNCT
ap-918	162	8	quesne	quesne	NOUN
ap-918	162	9	,	,	PUNCT
ap-918	162	10	c.	c.	NOUN
ap-918	162	11	,	,	PUNCT
ap-918	162	12	znojil	znojil	NOUN
ap-918	162	13	,	,	PUNCT
ap-918	162	14	m.	m.	NOUN
ap-918	162	15	:	:	PUNCT
ap-918	162	16	generalized	generalized	ADJ
ap-918	162	17	continuity	continuity	NOUN
ap-918	162	18	equation	equation	NOUN
ap-918	162	19	and	and	CCONJ
ap-918	162	20	modified	modify	VERB
ap-918	162	21	normalization	normalization	NOUN
ap-918	162	22	in	in	ADP
ap-918	162	23	�	�	NOUN
ap-918	162	24	�	�	NOUN
ap-918	162	25	-symmetric	-symmetric	ADJ
ap-918	162	26	quantum	quantum	NOUN
ap-918	162	27	mechanics	mechanic	NOUN
ap-918	162	28	,	,	PUNCT
ap-918	162	29	mod	mod	PROPN
ap-918	162	30	.	.	PUNCT
ap-918	162	31	phys	phys	PROPN
ap-918	162	32	.	.	PUNCT
ap-918	163	1	lett	lett	PROPN
ap-918	163	2	.	.	PUNCT
ap-918	164	1	a	a	DET
ap-918	164	2	,	,	PUNCT
ap-918	164	3	vol	vol	NOUN
ap-918	164	4	.	.	PUNCT
ap-918	165	1	16	16	NUM
ap-918	165	2	(	(	PUNCT
ap-918	165	3	2001	2001	NUM
ap-918	165	4	)	)	PUNCT
ap-918	165	5	,	,	PUNCT
ap-918	165	6	p.	p.	NOUN
ap-918	165	7	2047–2057	2047–2057	NUM
ap-918	165	8	.	.	PUNCT
ap-918	166	1	[	[	X
ap-918	166	2	10	10	NUM
ap-918	166	3	]	]	X
ap-918	166	4	mostafazadeh	mostafazadeh	NOUN
ap-918	166	5	,	,	PUNCT
ap-918	166	6	a.	a.	NOUN
ap-918	166	7	:	:	PUNCT
ap-918	166	8	pseudo	pseudo	NOUN
ap-918	166	9	-	-	NOUN
ap-918	166	10	hermiticity	hermiticity	NOUN
ap-918	166	11	versus	versus	ADP
ap-918	166	12	�	�	PROPN
ap-918	166	13	�	�	PROPN
ap-918	166	14	symmetry	symmetry	NOUN
ap-918	166	15	:	:	PUNCT
ap-918	166	16	the	the	DET
ap-918	166	17	necessary	necessary	ADJ
ap-918	166	18	condition	condition	NOUN
ap-918	166	19	for	for	ADP
ap-918	166	20	the	the	DET
ap-918	166	21	reality	reality	NOUN
ap-918	166	22	of	of	ADP
ap-918	166	23	the	the	DET
ap-918	166	24	spectrum	spectrum	NOUN
ap-918	166	25	of	of	ADP
ap-918	166	26	a	a	DET
ap-918	166	27	non	non	ADJ
ap-918	166	28	-	-	ADJ
ap-918	166	29	hermitian	hermitian	ADJ
ap-918	166	30	hamiltonian	hamiltonian	NOUN
ap-918	166	31	,	,	PUNCT
ap-918	166	32	j.	j.	PROPN
ap-918	166	33	math	math	PROPN
ap-918	166	34	.	.	PUNCT
ap-918	167	1	phys	phy	NOUN
ap-918	167	2	.	.	PUNCT
ap-918	168	1	vol	vol	NOUN
ap-918	168	2	.	.	PUNCT
ap-918	169	1	43	43	NUM
ap-918	169	2	(	(	PUNCT
ap-918	169	3	2002	2002	NUM
ap-918	169	4	)	)	PUNCT
ap-918	169	5	,	,	PUNCT
ap-918	170	1	p.	p.	NOUN
ap-918	170	2	205–214	205–214	NUM
ap-918	170	3	.	.	PUNCT
ap-918	171	1	[	[	X
ap-918	171	2	11	11	NUM
ap-918	171	3	]	]	X
ap-918	171	4	mostafazadeh	mostafazadeh	NOUN
ap-918	171	5	,	,	PUNCT
ap-918	171	6	a.	a.	NOUN
ap-918	171	7	:	:	PUNCT
ap-918	171	8	pseudo	pseudo	NOUN
ap-918	171	9	-	-	NOUN
ap-918	171	10	hermiticity	hermiticity	NOUN
ap-918	171	11	versus	versus	ADP
ap-918	171	12	�	�	PROPN
ap-918	171	13	�	�	PROPN
ap-918	171	14	-symmetry	-symmetry	PROPN
ap-918	171	15	ii	ii	PROPN
ap-918	171	16	.	.	PUNCT
ap-918	172	1	a	a	DET
ap-918	172	2	complete	complete	ADJ
ap-918	172	3	characterization	characterization	NOUN
ap-918	172	4	of	of	ADP
ap-918	172	5	non	non	ADJ
ap-918	172	6	-	-	ADJ
ap-918	172	7	hermitian	hermitian	ADJ
ap-918	172	8	hamiltonians	hamiltonian	NOUN
ap-918	172	9	with	with	ADP
ap-918	172	10	a	a	DET
ap-918	172	11	real	real	ADJ
ap-918	172	12	spectrum	spectrum	NOUN
ap-918	172	13	,	,	PUNCT
ap-918	172	14	j.	j.	PROPN
ap-918	172	15	math	math	PROPN
ap-918	172	16	.	.	PUNCT
ap-918	173	1	phys	phy	NOUN
ap-918	173	2	.	.	PUNCT
ap-918	174	1	vol	vol	NOUN
ap-918	174	2	.	.	PUNCT
ap-918	175	1	43	43	NUM
ap-918	175	2	(	(	PUNCT
ap-918	175	3	2002	2002	NUM
ap-918	175	4	)	)	PUNCT
ap-918	175	5	,	,	PUNCT
ap-918	175	6	p.	p.	NOUN
ap-918	175	7	2814–2816	2814–2816	NUM
ap-918	175	8	;	;	PUNCT
ap-918	175	9	[	[	X
ap-918	175	10	12	12	NUM
ap-918	175	11	]	]	X
ap-918	175	12	mostafazadeh	mostafazadeh	NOUN
ap-918	175	13	,	,	PUNCT
ap-918	175	14	a.	a.	NOUN
ap-918	175	15	:	:	PUNCT
ap-918	175	16	pseudo	pseudo	NOUN
ap-918	175	17	-	-	NOUN
ap-918	175	18	hermiticity	hermiticity	NOUN
ap-918	175	19	versus	versus	ADP
ap-918	175	20	�	�	PROPN
ap-918	175	21	�	�	PROPN
ap-918	175	22	-symmetry	-symmetry	PROPN
ap-918	175	23	iii	iii	NOUN
ap-918	175	24	:	:	PUNCT
ap-918	175	25	equivalence	equivalence	NOUN
ap-918	175	26	of	of	ADP
ap-918	175	27	pseudo	pseudo	NOUN
ap-918	175	28	-	-	NOUN
ap-918	175	29	hermiticity	hermiticity	NOUN
ap-918	175	30	and	and	CCONJ
ap-918	175	31	the	the	DET
ap-918	175	32	presence	presence	NOUN
ap-918	175	33	of	of	ADP
ap-918	175	34	antilinear	antilinear	ADJ
ap-918	175	35	symmetries	symmetry	NOUN
ap-918	175	36	,	,	PUNCT
ap-918	175	37	j.	j.	PROPN
ap-918	175	38	math	math	PROPN
ap-918	175	39	.	.	PUNCT
ap-918	176	1	phys	phy	NOUN
ap-918	176	2	.	.	PUNCT
ap-918	177	1	vol	vol	NOUN
ap-918	177	2	.	.	PUNCT
ap-918	178	1	43	43	NUM
ap-918	178	2	(	(	PUNCT
ap-918	178	3	2002	2002	NUM
ap-918	178	4	)	)	PUNCT
ap-918	178	5	,	,	PUNCT
ap-918	179	1	p.	p.	NOUN
ap-918	179	2	3944–3951	3944–3951	NUM
ap-918	179	3	;	;	PUNCT
ap-918	179	4	[	[	X
ap-918	179	5	13	13	NUM
ap-918	179	6	]	]	SYM
ap-918	179	7	langer	langer	NOUN
ap-918	179	8	,	,	PUNCT
ap-918	179	9	h.	h.	PROPN
ap-918	179	10	,	,	PUNCT
ap-918	179	11	tretter	tretter	PROPN
ap-918	179	12	,	,	PUNCT
ap-918	179	13	ch	ch	NOUN
ap-918	179	14	.	.	PUNCT
ap-918	179	15	:	:	PUNCT
ap-918	179	16	a	a	DET
ap-918	179	17	krein	krein	ADJ
ap-918	179	18	space	space	NOUN
ap-918	179	19	approach	approach	NOUN
ap-918	179	20	to	to	ADP
ap-918	179	21	�	�	PROPN
ap-918	179	22	�	�	PROPN
ap-918	179	23	-symmetry	-symmetry	PROPN
ap-918	179	24	,	,	PUNCT
ap-918	179	25	czech	czech	PROPN
ap-918	179	26	.	.	PUNCT
ap-918	180	1	j.	j.	PROPN
ap-918	180	2	phys	phys	PROPN
ap-918	180	3	.	.	PUNCT
ap-918	181	1	vol	vol	NOUN
ap-918	181	2	.	.	PUNCT
ap-918	182	1	54	54	NUM
ap-918	182	2	(	(	PUNCT
ap-918	182	3	2004	2004	NUM
ap-918	182	4	)	)	PUNCT
ap-918	182	5	,	,	PUNCT
ap-918	183	1	p.	p.	NOUN
ap-918	183	2	1113–1120	1113–1120	NUM
ap-918	183	3	.	.	PUNCT
ap-918	184	1	©	©	PROPN
ap-918	184	2	czech	czech	PROPN
ap-918	184	3	technical	technical	PROPN
ap-918	184	4	university	university	PROPN
ap-918	184	5	publishing	publishing	NOUN
ap-918	184	6	house	house	NOUN
ap-918	184	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-918	184	8	13	13	NUM
ap-918	184	9	acta	acta	PROPN
ap-918	184	10	polytechnica	polytechnica	PROPN
ap-918	184	11	vol	vol	NOUN
ap-918	184	12	.	.	PUNCT
ap-918	185	1	47	47	NUM
ap-918	185	2	no	no	INTJ
ap-918	185	3	.	.	PUNCT
ap-918	186	1	2–3/2007	2–3/2007	NUM
ap-918	186	2	one	one	NOUN
ap-918	186	3	can	can	AUX
ap-918	186	4	only	only	ADV
ap-918	186	5	appreciate	appreciate	VERB
ap-918	186	6	the	the	DET
ap-918	186	7	latter	latter	ADJ
ap-918	186	8	observation	observation	NOUN
ap-918	186	9	when	when	SCONJ
ap-918	186	10	one	one	PRON
ap-918	186	11	sees	see	VERB
ap-918	186	12	the	the	DET
ap-918	186	13	final	final	ADJ
ap-918	186	14	gröbner	gröbner	ADJ
ap-918	186	15	-	-	PUNCT
ap-918	186	16	basis	basis	NOUN
ap-918	186	17	element	element	NOUN
ap-918	186	18	which	which	PRON
ap-918	186	19	defines	define	VERB
ap-918	186	20	d	d	X
ap-918	186	21	(	(	PUNCT
ap-918	186	22	)	)	PUNCT
ap-918	186	23	eep	eep	PROPN
ap-918	186	24	�	�	PROPN
ap-918	186	25	7	7	NUM
ap-918	186	26	as	as	ADP
ap-918	186	27	a	a	DET
ap-918	186	28	root	root	NOUN
ap-918	186	29	of	of	ADP
ap-918	186	30	the	the	PRON
ap-918	186	31	following	follow	VERB
ap-918	186	32	seventeenth	seventeenth	ADJ
ap-918	186	33	-	-	PUNCT
ap-918	186	34	degree	degree	NOUN
ap-918	186	35	polynomial	polynomial	ADJ
ap-918	186	36	314432d17	314432d17	PROPN
ap-918	186	37	�	�	PROPN
ap-918	186	38	5932158016d16	5932158016d16	NOUN
ap-918	186	39	�	�	PROPN
ap-918	186	40	4574211144896d15	4574211144896d15	NUM
ap-918	186	41	�	�	PROPN
ap-918	186	42	3133529909492864d14	3133529909492864d14	NUM
ap-918	186	43	�	�	PROPN
ap-918	186	44	917318495163561932d13	917318495163561932d13	NUM
ap-918	186	45	�	�	PROPN
ap-918	186	46	167556261648918275684d12	167556261648918275684d12	PROPN
ap-918	186	47	�	�	PROPN
ap-918	186	48	14670346929744822064505d11	14670346929744822064505d11	PROPN
ap-918	186	49	�	�	PROPN
ap-918	186	50	720991093724510065469933d10	720991093724510065469933d10	PROPN
ap-918	186	51	�	�	PROPN
ap-918	186	52	62429137451114251409236415d9	62429137451114251409236415d9	PROPN
ap-918	186	53	�	�	PROPN
ap-918	186	54	676326278232758784369966787d8	676326278232758784369966787d8	NOUN
ap-918	186	55	�	�	PROPN
ap-918	186	56	40525434802944282153115803370d7	40525434802944282153115803370d7	PROPN
ap-918	186	57	�	�	PROPN
ap-918	186	58	2361976444746440513605248930610d6	2361976444746440513605248930610d6	PROPN
ap-918	186	59	�	�	PROPN
ap-918	186	60	145759836636885012145070948315366d5	145759836636885012145070948315366d5	PROPN
ap-918	186	61	�	�	PROPN
ap-918	186	62	8129925258122948689157916436170874d4	8129925258122948689157916436170874d4	PROPN
ap-918	186	63	�	�	PROPN
ap-918	186	64	68875673245487669398850290405642067d3	68875673245487669398850290405642067d3	PROPN
ap-918	186	65	�	�	PROPN
ap-918	186	66	235326754101824439936800228806905073d2	235326754101824439936800228806905073d2	NOUN
ap-918	186	67	�	�	PROPN
ap-918	186	68	453762279414621179815552897029039797d	453762279414621179815552897029039797d	NOUN
ap-918	186	69	�	�	PROPN
ap-918	186	70	153712881941946532798614648361265167	153712881941946532798614648361265167	NUM
ap-918	186	71	�	�	NOUN
ap-918	186	72	0	0	PUNCT
ap-918	187	1	[	[	X
ap-918	187	2	14	14	NUM
ap-918	187	3	]	]	X
ap-918	187	4	bender	bender	NOUN
ap-918	187	5	,	,	PUNCT
ap-918	187	6	c.	c.	PROPN
ap-918	187	7	m.	m.	PROPN
ap-918	187	8	,	,	PUNCT
ap-918	187	9	brody	brody	PROPN
ap-918	187	10	,	,	PUNCT
ap-918	187	11	d.	d.	PROPN
ap-918	187	12	c.	c.	PROPN
ap-918	187	13	,	,	PUNCT
ap-918	187	14	jones	jones	PROPN
ap-918	187	15	,	,	PUNCT
ap-918	187	16	h.	h.	PROPN
ap-918	187	17	f.	f.	PROPN
ap-918	187	18	:	:	PUNCT
ap-918	187	19	complex	complex	ADJ
ap-918	187	20	extension	extension	NOUN
ap-918	187	21	of	of	ADP
ap-918	187	22	quantum	quantum	ADJ
ap-918	187	23	mechanics	mechanic	NOUN
ap-918	187	24	,	,	PUNCT
ap-918	187	25	phys	phy	NOUN
ap-918	187	26	.	.	PUNCT
ap-918	188	1	rev	rev	PROPN
ap-918	188	2	.	.	PROPN
ap-918	188	3	lett	lett	PROPN
ap-918	188	4	.	.	PUNCT
ap-918	189	1	vol	vol	NOUN
ap-918	189	2	.	.	PROPN
ap-918	189	3	89	89	NUM
ap-918	189	4	(	(	PUNCT
ap-918	189	5	2002	2002	NUM
ap-918	189	6	)	)	PUNCT
ap-918	189	7	,	,	PUNCT
ap-918	189	8	0270401	0270401	NUM
ap-918	189	9	;	;	PUNCT
ap-918	189	10	erratum	erratum	NOUN
ap-918	189	11	-	-	PUNCT
ap-918	189	12	ibid	ibid	NOUN
ap-918	189	13	.	.	PUNCT
ap-918	190	1	92	92	NUM
ap-918	190	2	(	(	PUNCT
ap-918	190	3	2004	2004	NUM
ap-918	190	4	)	)	PUNCT
ap-918	190	5	,	,	PUNCT
ap-918	190	6	119902	119902	NUM
ap-918	190	7	.	.	PUNCT
ap-918	191	1	[	[	X
ap-918	191	2	15	15	NUM
ap-918	191	3	]	]	X
ap-918	191	4	znojil	znojil	NOUN
ap-918	191	5	,	,	PUNCT
ap-918	191	6	m.	m.	NOUN
ap-918	191	7	,	,	PUNCT
ap-918	191	8	geyer	geyer	PROPN
ap-918	191	9	,	,	PUNCT
ap-918	191	10	h.	h.	PROPN
ap-918	191	11	b.	b.	PROPN
ap-918	191	12	:	:	PUNCT
ap-918	191	13	construction	construction	NOUN
ap-918	191	14	of	of	ADP
ap-918	191	15	a	a	DET
ap-918	191	16	unique	unique	ADJ
ap-918	191	17	metric	metric	NOUN
ap-918	191	18	in	in	ADP
ap-918	191	19	quasi	quasi	ADJ
ap-918	191	20	-	-	ADJ
ap-918	191	21	hermitian	hermitian	ADJ
ap-918	191	22	quantum	quantum	ADJ
ap-918	191	23	mechanics	mechanic	NOUN
ap-918	191	24	:	:	PUNCT
ap-918	191	25	nonexistence	nonexistence	NOUN
ap-918	191	26	of	of	ADP
ap-918	191	27	the	the	DET
ap-918	191	28	charge	charge	NOUN
ap-918	191	29	operator	operator	NOUN
ap-918	191	30	in	in	ADP
ap-918	191	31	a	a	DET
ap-918	191	32	2×2	2×2	NUM
ap-918	191	33	matrix	matrix	NOUN
ap-918	191	34	model	model	NOUN
ap-918	191	35	,	,	PUNCT
ap-918	191	36	phys	phy	NOUN
ap-918	191	37	.	.	PUNCT
ap-918	192	1	lett	lett	PROPN
ap-918	192	2	.	.	PUNCT
ap-918	193	1	b	b	X
ap-918	193	2	,	,	PUNCT
ap-918	193	3	vol	vol	NOUN
ap-918	193	4	.	.	NOUN
ap-918	193	5	640	640	NUM
ap-918	193	6	(	(	PUNCT
ap-918	193	7	2006	2006	NUM
ap-918	193	8	)	)	PUNCT
ap-918	193	9	52–56	52–56	NUM
ap-918	193	10	;	;	PUNCT
ap-918	194	1	erratum	erratum	NOUN
ap-918	194	2	-	-	PUNCT
ap-918	194	3	ibid	ibid	NOUN
ap-918	194	4	,	,	PUNCT
ap-918	194	5	phys	phy	NOUN
ap-918	194	6	.	.	PUNCT
ap-918	195	1	lett	lett	PROPN
ap-918	195	2	.	.	PUNCT
ap-918	196	1	b	b	X
ap-918	196	2	649	649	NUM
ap-918	196	3	(	(	PUNCT
ap-918	196	4	2007	2007	NUM
ap-918	196	5	)	)	PUNCT
ap-918	196	6	–	–	PUNCT
ap-918	196	7	see	see	VERB
ap-918	196	8	[	[	X
ap-918	196	9	16	16	NUM
ap-918	196	10	]	]	PUNCT
ap-918	196	11	below	below	ADV
ap-918	196	12	.	.	PUNCT
ap-918	197	1	[	[	X
ap-918	197	2	16	16	NUM
ap-918	197	3	]	]	PUNCT
ap-918	197	4	in	in	ADP
ap-918	197	5	ref	ref	NOUN
ap-918	197	6	.	.	PUNCT
ap-918	198	1	[	[	X
ap-918	198	2	15	15	NUM
ap-918	198	3	]	]	PUNCT
ap-918	198	4	we	we	PRON
ap-918	198	5	accepted	accept	VERB
ap-918	198	6	a	a	DET
ap-918	198	7	specific	specific	ADJ
ap-918	198	8	overall	overall	ADJ
ap-918	198	9	scale	scale	NOUN
ap-918	198	10	z	z	PROPN
ap-918	198	11	�	�	PROPN
ap-918	198	12	1	1	NUM
ap-918	198	13	in	in	ADP
ap-918	198	14	�	�	PROPN
ap-918	198	15	.	.	PUNCT
ap-918	199	1	in	in	ADP
ap-918	199	2	the	the	DET
ap-918	199	3	resulting	result	VERB
ap-918	199	4	one	one	NUM
ap-918	199	5	-	-	PUNCT
ap-918	199	6	parametric	parametric	ADJ
ap-918	199	7	subfamily	subfamily	ADJ
ap-918	199	8	�	�	PROPN
ap-918	199	9	of	of	ADP
ap-918	199	10	the	the	DET
ap-918	199	11	factorization	factorization	NOUN
ap-918	199	12	postulate	postulate	NOUN
ap-918	199	13	�	�	PROPN
ap-918	199	14	�	�	PROPN
ap-918	199	15	�	�	PROPN
ap-918	199	16	�	�	PROPN
ap-918	199	17	of	of	ADP
ap-918	199	18	ref	ref	NOUN
ap-918	199	19	.	.	PUNCT
ap-918	200	1	[	[	X
ap-918	200	2	14	14	NUM
ap-918	200	3	]	]	PUNCT
ap-918	200	4	led	lead	VERB
ap-918	200	5	to	to	ADP
ap-918	200	6	the	the	DET
ap-918	200	7	charge	charge	NOUN
ap-918	200	8	factor	factor	NOUN
ap-918	200	9	c	c	NOUN
ap-918	200	10	,	,	PUNCT
ap-918	200	11	which	which	PRON
ap-918	200	12	was	be	AUX
ap-918	200	13	not	not	PART
ap-918	200	14	involutive	involutive	ADJ
ap-918	200	15	.	.	PUNCT
ap-918	201	1	in	in	ADP
ap-918	201	2	order	order	NOUN
ap-918	201	3	to	to	PART
ap-918	201	4	avoid	avoid	VERB
ap-918	201	5	possible	possible	ADJ
ap-918	201	6	misunderstandings	misunderstanding	NOUN
ap-918	201	7	we	we	PRON
ap-918	201	8	would	would	AUX
ap-918	201	9	like	like	VERB
ap-918	201	10	to	to	PART
ap-918	201	11	emphasize	emphasize	VERB
ap-918	201	12	here	here	ADV
ap-918	201	13	that	that	SCONJ
ap-918	201	14	neither	neither	CCONJ
ap-918	201	15	the	the	DET
ap-918	201	16	involutivity	involutivity	NOUN
ap-918	201	17	�	�	PROPN
ap-918	201	18	2	2	NUM
ap-918	201	19	�	�	PROPN
ap-918	201	20	i	i	PRON
ap-918	201	21	nor	nor	CCONJ
ap-918	201	22	the	the	DET
ap-918	201	23	preference	preference	NOUN
ap-918	201	24	of	of	ADP
ap-918	201	25	z	z	PROPN
ap-918	201	26	�	�	PROPN
ap-918	201	27	1are	1are	PROPN
ap-918	201	28	based	base	VERB
ap-918	201	29	on	on	ADP
ap-918	201	30	deeper	deep	ADJ
ap-918	201	31	physical	physical	ADJ
ap-918	201	32	grounds	ground	NOUN
ap-918	201	33	.	.	PUNCT
ap-918	202	1	in	in	ADP
ap-918	202	2	this	this	DET
ap-918	202	3	sense	sense	NOUN
ap-918	202	4	,	,	PUNCT
ap-918	202	5	the	the	DET
ap-918	202	6	statements	statement	NOUN
ap-918	202	7	formulated	formulate	VERB
ap-918	202	8	in	in	ADP
ap-918	202	9	the	the	DET
ap-918	202	10	last	last	ADJ
ap-918	202	11	four	four	NUM
ap-918	202	12	lines	line	NOUN
ap-918	202	13	of	of	ADP
ap-918	202	14	paragraph	paragraph	NOUN
ap-918	202	15	3.2	3.2	NUM
ap-918	202	16	of	of	ADP
ap-918	202	17	ref	ref	NOUN
ap-918	202	18	.	.	PUNCT
ap-918	203	1	[	[	X
ap-918	203	2	15	15	NUM
ap-918	203	3	]	]	X
ap-918	203	4	(	(	PUNCT
ap-918	203	5	plus	plus	CCONJ
ap-918	203	6	their	their	PRON
ap-918	203	7	several	several	ADJ
ap-918	203	8	citations	citation	NOUN
ap-918	203	9	throughout	throughout	ADP
ap-918	203	10	the	the	DET
ap-918	203	11	text	text	NOUN
ap-918	203	12	)	)	PUNCT
ap-918	203	13	should	should	AUX
ap-918	203	14	be	be	AUX
ap-918	203	15	interpreted	interpret	VERB
ap-918	203	16	with	with	ADP
ap-918	203	17	due	due	ADJ
ap-918	203	18	care	care	NOUN
ap-918	203	19	.	.	PUNCT
ap-918	204	1	it	it	PRON
ap-918	204	2	is	be	AUX
ap-918	204	3	obvious	obvious	ADJ
ap-918	204	4	that	that	SCONJ
ap-918	204	5	,	,	PUNCT
ap-918	204	6	whenever	whenever	SCONJ
ap-918	204	7	necessary	necessary	ADJ
ap-918	204	8	,	,	PUNCT
ap-918	204	9	one	one	PRON
ap-918	204	10	can	can	AUX
ap-918	204	11	always	always	ADV
ap-918	204	12	return	return	VERB
ap-918	204	13	to	to	ADP
ap-918	204	14	the	the	DET
ap-918	204	15	full	full	ADJ
ap-918	204	16	,	,	PUNCT
ap-918	204	17	two	two	NUM
ap-918	204	18	-	-	PUNCT
ap-918	204	19	parametric	parametric	ADJ
ap-918	204	20	family	family	NOUN
ap-918	204	21	of	of	ADP
ap-918	204	22	�	�	PROPN
ap-918	204	23	and	and	CCONJ
ap-918	204	24	achieve	achieve	VERB
ap-918	204	25	the	the	DET
ap-918	204	26	involutivity	involutivity	NOUN
ap-918	204	27	of	of	ADP
ap-918	204	28	charge	charge	NOUN
ap-918	204	29	�	�	PROPN
ap-918	204	30	via	via	ADP
ap-918	204	31	an	an	DET
ap-918	204	32	elementary	elementary	ADJ
ap-918	204	33	hamiltonian	hamiltonian	ADJ
ap-918	204	34	-	-	PUNCT
ap-918	204	35	dependent	dependent	ADJ
ap-918	204	36	adaptation	adaptation	NOUN
ap-918	204	37	of	of	ADP
ap-918	204	38	the	the	DET
ap-918	204	39	scale	scale	NOUN
ap-918	204	40	z	z	PROPN
ap-918	204	41	z	z	NOUN
ap-918	204	42	h	h	PROPN
ap-918	204	43	�	�	PROPN
ap-918	204	44	(	(	PUNCT
ap-918	204	45	)	)	PUNCT
ap-918	204	46	.	.	PUNCT
ap-918	205	1	[	[	X
ap-918	205	2	17	17	NUM
ap-918	205	3	]	]	X
ap-918	205	4	znojil	znojil	NOUN
ap-918	205	5	,	,	PUNCT
ap-918	205	6	m.	m.	NOUN
ap-918	205	7	:	:	PUNCT
ap-918	205	8	a	a	DET
ap-918	205	9	return	return	NOUN
ap-918	205	10	of	of	ADP
ap-918	205	11	observability	observability	NOUN
ap-918	205	12	near	near	ADP
ap-918	205	13	exceptional	exceptional	ADJ
ap-918	205	14	points	point	NOUN
ap-918	205	15	in	in	ADP
ap-918	205	16	a	a	DET
ap-918	205	17	schematic	schematic	ADJ
ap-918	205	18	�	�	NOUN
ap-918	205	19	�	�	NOUN
ap-918	205	20	-symmetric	-symmetric	ADJ
ap-918	205	21	model	model	NOUN
ap-918	205	22	,	,	PUNCT
ap-918	205	23	phys	phy	NOUN
ap-918	205	24	.	.	PUNCT
ap-918	206	1	lett	lett	PROPN
ap-918	206	2	.	.	PUNCT
ap-918	207	1	b	b	X
ap-918	207	2	,	,	PUNCT
ap-918	207	3	vol	vol	NOUN
ap-918	207	4	.	.	PUNCT
ap-918	208	1	647	647	NUM
ap-918	208	2	(	(	PUNCT
ap-918	208	3	2007	2007	NUM
ap-918	208	4	)	)	PUNCT
ap-918	208	5	,	,	PUNCT
ap-918	208	6	p.	p.	NOUN
ap-918	208	7	225–230	225–230	NUM
ap-918	208	8	.	.	PUNCT
ap-918	209	1	[	[	X
ap-918	209	2	18	18	NUM
ap-918	209	3	]	]	SYM
ap-918	209	4	znojil	znojil	NOUN
ap-918	209	5	,	,	PUNCT
ap-918	209	6	m.	m.	NOUN
ap-918	209	7	:	:	PUNCT
ap-918	209	8	determination	determination	NOUN
ap-918	209	9	of	of	ADP
ap-918	209	10	the	the	DET
ap-918	209	11	domain	domain	NOUN
ap-918	209	12	of	of	ADP
ap-918	209	13	the	the	DET
ap-918	209	14	admissible	admissible	ADJ
ap-918	209	15	matrix	matrix	NOUN
ap-918	209	16	elements	element	NOUN
ap-918	209	17	in	in	ADP
ap-918	209	18	the	the	DET
ap-918	209	19	four	four	NUM
ap-918	209	20	-	-	PUNCT
ap-918	209	21	dimensional	dimensional	ADJ
ap-918	209	22	�	�	NOUN
ap-918	209	23	�	�	NOUN
ap-918	209	24	-symmetric	-symmetric	NOUN
ap-918	209	25	anharmonic	anharmonic	ADJ
ap-918	209	26	model	model	NOUN
ap-918	209	27	,	,	PUNCT
ap-918	209	28	phys	phy	NOUN
ap-918	209	29	.	.	PUNCT
ap-918	210	1	lett	lett	PROPN
ap-918	210	2	.	.	PUNCT
ap-918	211	1	a	a	DET
ap-918	211	2	,	,	PUNCT
ap-918	211	3	vol	vol	NOUN
ap-918	211	4	.	.	PROPN
ap-918	212	1	367	367	NUM
ap-918	212	2	(	(	PUNCT
ap-918	212	3	2007	2007	NUM
ap-918	212	4	)	)	PUNCT
ap-918	212	5	,	,	PUNCT
ap-918	212	6	p.	p.	NOUN
ap-918	212	7	300–306	300–306	NUM
ap-918	212	8	.	.	PUNCT
ap-918	213	1	[	[	X
ap-918	213	2	19	19	NUM
ap-918	213	3	]	]	X
ap-918	213	4	znojil	znojil	NOUN
ap-918	213	5	,	,	PUNCT
ap-918	213	6	m.	m.	NOUN
ap-918	213	7	:	:	PUNCT
ap-918	213	8	maximal	maximal	ADJ
ap-918	213	9	couplings	coupling	NOUN
ap-918	213	10	in	in	ADP
ap-918	213	11	�	�	NOUN
ap-918	213	12	�	�	NOUN
ap-918	213	13	-symmetric	-symmetric	ADJ
ap-918	213	14	chain	chain	NOUN
ap-918	213	15	-	-	PUNCT
ap-918	213	16	models	model	NOUN
ap-918	213	17	with	with	ADP
ap-918	213	18	the	the	DET
ap-918	213	19	real	real	ADJ
ap-918	213	20	spectrum	spectrum	NOUN
ap-918	213	21	of	of	ADP
ap-918	213	22	energies	energy	NOUN
ap-918	213	23	,	,	PUNCT
ap-918	213	24	j.	j.	PROPN
ap-918	213	25	phys	phys	PROPN
ap-918	213	26	.	.	PUNCT
ap-918	214	1	a	a	DET
ap-918	214	2	:	:	PUNCT
ap-918	214	3	math	math	NOUN
ap-918	214	4	.	.	PUNCT
ap-918	215	1	theor	theor	PROPN
ap-918	215	2	.	.	PUNCT
ap-918	216	1	vol	vol	NOUN
ap-918	216	2	.	.	PROPN
ap-918	217	1	40	40	NUM
ap-918	217	2	(	(	PUNCT
ap-918	217	3	2007	2007	NUM
ap-918	217	4	)	)	PUNCT
ap-918	217	5	,	,	PUNCT
ap-918	217	6	p.	p.	NOUN
ap-918	217	7	4863–4875	4863–4875	NUM
ap-918	217	8	,	,	PUNCT
ap-918	217	9	(	(	PUNCT
ap-918	217	10	math	math	NOUN
ap-918	217	11	-	-	PUNCT
ap-918	217	12	ph/0703070v1	ph/0703070v1	NOUN
ap-918	217	13	)	)	PUNCT
ap-918	218	1	[	[	X
ap-918	218	2	20	20	NUM
ap-918	218	3	]	]	SYM
ap-918	218	4	znojil	znojil	NOUN
ap-918	218	5	,	,	PUNCT
ap-918	218	6	m.	m.	NOUN
ap-918	218	7	:	:	PUNCT
ap-918	218	8	conditional	conditional	ADJ
ap-918	218	9	observability	observability	NOUN
ap-918	218	10	,	,	PUNCT
ap-918	218	11	phys	phy	NOUN
ap-918	218	12	.	.	PUNCT
ap-918	219	1	lett	lett	PROPN
ap-918	219	2	.	.	PUNCT
ap-918	220	1	b	b	X
ap-918	220	2	,	,	PUNCT
ap-918	220	3	vol	vol	NOUN
ap-918	220	4	.	.	PUNCT
ap-918	221	1	650	650	NUM
ap-918	221	2	(	(	PUNCT
ap-918	221	3	2007	2007	NUM
ap-918	221	4	)	)	PUNCT
ap-918	221	5	,	,	PUNCT
ap-918	222	1	p.	p.	NOUN
ap-918	222	2	440–446	440–446	NUM
ap-918	223	1	(	(	PUNCT
ap-918	223	2	arxiv:0704.3812v1	arxiv:0704.3812v1	PRON
ap-918	223	3	[	[	X
ap-918	223	4	math	math	NOUN
ap-918	223	5	-	-	PUNCT
ap-918	223	6	ph	ph	NOUN
ap-918	223	7	]	]	PUNCT
ap-918	223	8	)	)	PUNCT
ap-918	223	9	.	.	PUNCT
ap-918	224	1	[	[	X
ap-918	224	2	21	21	NUM
ap-918	224	3	]	]	X
ap-918	224	4	bender	bender	NOUN
ap-918	224	5	,	,	PUNCT
ap-918	224	6	c.	c.	PROPN
ap-918	224	7	m.	m.	NOUN
ap-918	224	8	:	:	PUNCT
ap-918	224	9	making	make	VERB
ap-918	224	10	sense	sense	NOUN
ap-918	224	11	of	of	ADP
ap-918	224	12	non	non	ADJ
ap-918	224	13	-	-	ADJ
ap-918	224	14	hermitian	hermitian	ADJ
ap-918	224	15	hamiltonians	hamiltonian	NOUN
ap-918	224	16	,	,	PUNCT
ap-918	224	17	rep	rep	PROPN
ap-918	224	18	.	.	PROPN
ap-918	224	19	prog	prog	PROPN
ap-918	224	20	.	.	PUNCT
ap-918	225	1	phys	phy	NOUN
ap-918	225	2	.	.	PUNCT
ap-918	225	3	,	,	PUNCT
ap-918	225	4	submitted	submit	VERB
ap-918	225	5	(	(	PUNCT
ap-918	225	6	hep	hep	NOUN
ap-918	225	7	-	-	PROPN
ap-918	225	8	th/0703096	th/0703096	X
ap-918	225	9	and	and	CCONJ
ap-918	225	10	preprint	preprint	VERB
ap-918	225	11	la	la	ADJ
ap-918	225	12	-	-	PUNCT
ap-918	225	13	ur-07	ur-07	NUM
ap-918	225	14	-	-	PUNCT
ap-918	225	15	1254	1254	NUM
ap-918	225	16	)	)	PUNCT
ap-918	225	17	.	.	PUNCT
ap-918	226	1	[	[	X
ap-918	226	2	22	22	NUM
ap-918	226	3	]	]	X
ap-918	226	4	kato	kato	PROPN
ap-918	226	5	,	,	PUNCT
ap-918	226	6	t.	t.	PROPN
ap-918	226	7	:	:	PUNCT
ap-918	226	8	perturbation	perturbation	NOUN
ap-918	226	9	theory	theory	NOUN
ap-918	226	10	for	for	ADP
ap-918	226	11	linear	linear	PROPN
ap-918	226	12	operators	operator	NOUN
ap-918	226	13	berlin	berlin	PROPN
ap-918	226	14	:	:	PUNCT
ap-918	226	15	springer	springer	NOUN
ap-918	226	16	,	,	PUNCT
ap-918	226	17	1966	1966	NUM
ap-918	226	18	,	,	PUNCT
ap-918	226	19	p.	p.	NOUN
ap-918	226	20	64	64	NUM
ap-918	226	21	.	.	PUNCT
ap-918	226	22	miloslav	miloslav	NOUN
ap-918	226	23	znojil	znojil	PROPN
ap-918	226	24	,	,	PUNCT
ap-918	226	25	drsc	drsc	PROPN
ap-918	226	26	.	.	PUNCT
ap-918	227	1	phone	phone	NOUN
ap-918	227	2	:	:	PUNCT
ap-918	227	3	+420	+420	PROPN
ap-918	227	4	266	266	NUM
ap-918	227	5	173	173	NUM
ap-918	227	6	286	286	NUM
ap-918	227	7	e	e	NOUN
ap-918	227	8	-	-	NOUN
ap-918	227	9	mail	mail	NOUN
ap-918	227	10	:	:	PUNCT
ap-918	227	11	znojil@ujf.cas.cz	znojil@ujf.cas.cz	PROPN
ap-918	227	12	academy	academy	PROPN
ap-918	227	13	of	of	ADP
ap-918	227	14	science	science	NOUN
ap-918	227	15	of	of	ADP
ap-918	227	16	the	the	DET
ap-918	227	17	czech	czech	PROPN
ap-918	227	18	republic	republic	PROPN
ap-918	227	19	nuclear	nuclear	PROPN
ap-918	227	20	physics	physics	PROPN
ap-918	227	21	institute	institute	PROPN
ap-918	227	22	250	250	NUM
ap-918	227	23	68	68	NUM
ap-918	227	24	řež	řež	NOUN
ap-918	227	25	,	,	PUNCT
ap-918	227	26	czech	czech	PROPN
ap-918	227	27	republic	republic	NOUN
ap-918	227	28	14	14	NUM
ap-918	227	29	©	©	PROPN
ap-918	227	30	czech	czech	PROPN
ap-918	227	31	technical	technical	PROPN
ap-918	227	32	university	university	PROPN
ap-918	227	33	publishing	publishing	NOUN
ap-918	227	34	house	house	NOUN
ap-918	227	35	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-918	227	36	acta	acta	PROPN
ap-918	227	37	polytechnica	polytechnica	PROPN
ap-918	227	38	vol	vol	NOUN
ap-918	227	39	.	.	PUNCT
ap-918	228	1	47	47	NUM
ap-918	228	2	no	no	INTJ
ap-918	228	3	.	.	PUNCT
ap-918	229	1	2–3/2007	2–3/2007	NUM