id	sid	tid	token	lemma	pos
ap-4615	1	1	acta	acta	PROPN
ap-4615	1	2	polytechnica	polytechnica	PROPN
ap-4615	1	3	doi:10.14311	doi:10.14311	PROPN
ap-4615	1	4	/	/	SYM
ap-4615	1	5	ap.2017.57.0462	ap.2017.57.0462	PROPN
ap-4615	1	6	acta	acta	PROPN
ap-4615	1	7	polytechnica	polytechnica	PROPN
ap-4615	1	8	57(6):462–466	57(6):462–466	PROPN
ap-4615	1	9	,	,	PUNCT
ap-4615	1	10	2017	2017	NUM
ap-4615	1	11	©	©	PROPN
ap-4615	1	12	czech	czech	PROPN
ap-4615	1	13	technical	technical	PROPN
ap-4615	1	14	university	university	PROPN
ap-4615	1	15	in	in	ADP
ap-4615	1	16	prague	prague	PROPN
ap-4615	1	17	,	,	PUNCT
ap-4615	1	18	2017	2017	NUM
ap-4615	1	19	available	available	ADJ
ap-4615	1	20	online	online	ADV
ap-4615	1	21	at	at	ADP
ap-4615	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4615	1	23	crypto	crypto	ADJ
ap-4615	1	24	-	-	ADJ
ap-4615	1	25	hermitian	hermitian	ADJ
ap-4615	1	26	approach	approach	NOUN
ap-4615	1	27	to	to	ADP
ap-4615	1	28	the	the	DET
ap-4615	1	29	klein	klein	PROPN
ap-4615	1	30	–	–	PUNCT
ap-4615	1	31	gordon	gordon	PROPN
ap-4615	1	32	equation	equation	NOUN
ap-4615	1	33	iveta	iveta	PROPN
ap-4615	1	34	semorádováa	semorádováa	PROPN
ap-4615	1	35	,	,	PUNCT
ap-4615	1	36	b	b	PROPN
ap-4615	1	37	a	a	DET
ap-4615	1	38	nuclear	nuclear	PROPN
ap-4615	1	39	physics	physics	PROPN
ap-4615	1	40	institute	institute	PROPN
ap-4615	1	41	,	,	PUNCT
ap-4615	1	42	czech	czech	PROPN
ap-4615	1	43	academy	academy	PROPN
ap-4615	1	44	of	of	ADP
ap-4615	1	45	science	science	PROPN
ap-4615	1	46	,	,	PUNCT
ap-4615	1	47	řež	řež	PROPN
ap-4615	1	48	near	near	ADP
ap-4615	1	49	prague	prague	PROPN
ap-4615	1	50	,	,	PUNCT
ap-4615	1	51	czech	czech	PROPN
ap-4615	1	52	republic	republic	PROPN
ap-4615	1	53	b	b	PROPN
ap-4615	1	54	faculty	faculty	NOUN
ap-4615	1	55	of	of	ADP
ap-4615	1	56	nuclear	nuclear	ADJ
ap-4615	1	57	science	science	NOUN
ap-4615	1	58	and	and	CCONJ
ap-4615	1	59	physical	physical	ADJ
ap-4615	1	60	engeneering	engeneering	NOUN
ap-4615	1	61	,	,	PUNCT
ap-4615	1	62	czech	czech	PROPN
ap-4615	1	63	technical	technical	PROPN
ap-4615	1	64	university	university	PROPN
ap-4615	1	65	in	in	ADP
ap-4615	1	66	prague	prague	PROPN
ap-4615	1	67	,	,	PUNCT
ap-4615	1	68	czech	czech	PROPN
ap-4615	1	69	republic	republic	NOUN
ap-4615	1	70	correspondence	correspondence	NOUN
ap-4615	1	71	:	:	PUNCT
ap-4615	1	72	semorive@fjfi.cvut.cz	semorive@fjfi.cvut.cz	ADP
ap-4615	1	73	abstract	abstract	NOUN
ap-4615	1	74	.	.	PUNCT
ap-4615	2	1	we	we	PRON
ap-4615	2	2	explore	explore	VERB
ap-4615	2	3	the	the	DET
ap-4615	2	4	klein	klein	PROPN
ap-4615	2	5	-	-	PUNCT
ap-4615	2	6	gordon	gordon	PROPN
ap-4615	2	7	equation	equation	NOUN
ap-4615	2	8	in	in	ADP
ap-4615	2	9	the	the	DET
ap-4615	2	10	framework	framework	NOUN
ap-4615	2	11	of	of	ADP
ap-4615	2	12	crypto	crypto	ADJ
ap-4615	2	13	-	-	ADJ
ap-4615	2	14	hermitian	hermitian	ADJ
ap-4615	2	15	quantum	quantum	ADJ
ap-4615	2	16	mechanics	mechanic	NOUN
ap-4615	2	17	.	.	PUNCT
ap-4615	3	1	solutions	solution	NOUN
ap-4615	3	2	to	to	ADP
ap-4615	3	3	common	common	ADJ
ap-4615	3	4	problems	problem	NOUN
ap-4615	3	5	with	with	ADP
ap-4615	3	6	probability	probability	NOUN
ap-4615	3	7	interpretation	interpretation	NOUN
ap-4615	3	8	and	and	CCONJ
ap-4615	3	9	indefinite	indefinite	ADJ
ap-4615	3	10	inner	inner	ADJ
ap-4615	3	11	product	product	NOUN
ap-4615	3	12	of	of	ADP
ap-4615	3	13	the	the	DET
ap-4615	3	14	klein	klein	PROPN
ap-4615	3	15	-	-	PUNCT
ap-4615	3	16	gordon	gordon	PROPN
ap-4615	3	17	equation	equation	NOUN
ap-4615	3	18	are	be	AUX
ap-4615	3	19	proposed	propose	VERB
ap-4615	3	20	.	.	PUNCT
ap-4615	4	1	keywords	keyword	NOUN
ap-4615	4	2	:	:	PUNCT
ap-4615	4	3	klein	klein	PROPN
ap-4615	4	4	-	-	PUNCT
ap-4615	4	5	gordon	gordon	PROPN
ap-4615	4	6	equation	equation	NOUN
ap-4615	4	7	;	;	PUNCT
ap-4615	4	8	probability	probability	NOUN
ap-4615	4	9	interpretation	interpretation	NOUN
ap-4615	4	10	;	;	PUNCT
ap-4615	4	11	metric	metric	ADJ
ap-4615	4	12	operator	operator	NOUN
ap-4615	4	13	;	;	PUNCT
ap-4615	4	14	crypto	crypto	ADJ
ap-4615	4	15	-	-	ADJ
ap-4615	4	16	hermitian	hermitian	ADJ
ap-4615	4	17	operator	operator	NOUN
ap-4615	4	18	;	;	PUNCT
ap-4615	4	19	quasi	quasi	ADJ
ap-4615	4	20	-	-	ADJ
ap-4615	4	21	hermitian	hermitian	ADJ
ap-4615	4	22	operator	operator	NOUN
ap-4615	4	23	.	.	PUNCT
ap-4615	5	1	1	1	X
ap-4615	5	2	.	.	X
ap-4615	5	3	introduction	introduction	NOUN
ap-4615	5	4	the	the	DET
ap-4615	5	5	urge	urge	NOUN
ap-4615	5	6	to	to	PART
ap-4615	5	7	unite	unite	VERB
ap-4615	5	8	special	special	ADJ
ap-4615	5	9	theory	theory	NOUN
ap-4615	5	10	of	of	ADP
ap-4615	5	11	relativity	relativity	NOUN
ap-4615	5	12	with	with	ADP
ap-4615	5	13	quantum	quantum	ADJ
ap-4615	5	14	theory	theory	NOUN
ap-4615	5	15	emerged	emerge	VERB
ap-4615	5	16	shortly	shortly	ADV
ap-4615	5	17	after	after	ADP
ap-4615	5	18	their	their	PRON
ap-4615	5	19	discovery	discovery	NOUN
ap-4615	5	20	.	.	PUNCT
ap-4615	6	1	the	the	DET
ap-4615	6	2	first	first	ADJ
ap-4615	6	3	relativistic	relativistic	ADJ
ap-4615	6	4	wave	wave	NOUN
ap-4615	6	5	equation	equation	NOUN
ap-4615	6	6	was	be	AUX
ap-4615	6	7	introduced	introduce	VERB
ap-4615	6	8	in	in	ADP
ap-4615	6	9	1926	1926	NUM
ap-4615	6	10	simultaneously	simultaneously	ADV
ap-4615	6	11	by	by	ADP
ap-4615	6	12	klein	klein	PROPN
ap-4615	7	1	[	[	X
ap-4615	7	2	1	1	NUM
ap-4615	7	3	]	]	PUNCT
ap-4615	7	4	,	,	PUNCT
ap-4615	7	5	gordon	gordon	PROPN
ap-4615	7	6	[	[	X
ap-4615	7	7	2	2	NUM
ap-4615	7	8	]	]	PUNCT
ap-4615	7	9	,	,	PUNCT
ap-4615	7	10	kudar	kudar	NOUN
ap-4615	8	1	[	[	X
ap-4615	8	2	3	3	NUM
ap-4615	8	3	]	]	PUNCT
ap-4615	8	4	,	,	PUNCT
ap-4615	8	5	fock	fock	ADJ
ap-4615	8	6	[	[	X
ap-4615	8	7	4][5	4][5	X
ap-4615	8	8	]	]	X
ap-4615	8	9	and	and	CCONJ
ap-4615	8	10	de	de	X
ap-4615	8	11	donder	donder	NOUN
ap-4615	8	12	and	and	CCONJ
ap-4615	8	13	van	van	PROPN
ap-4615	8	14	dungen	dungen	PROPN
ap-4615	8	15	[	[	X
ap-4615	8	16	6	6	NUM
ap-4615	8	17	]	]	PUNCT
ap-4615	8	18	.	.	PUNCT
ap-4615	9	1	schrödinger	schrödinger	NOUN
ap-4615	9	2	himself	himself	PRON
ap-4615	9	3	formulated	formulate	VERB
ap-4615	9	4	it	it	PRON
ap-4615	9	5	earlier	early	ADV
ap-4615	9	6	in	in	ADP
ap-4615	9	7	his	his	PRON
ap-4615	9	8	notes	note	NOUN
ap-4615	9	9	together	together	ADV
ap-4615	9	10	with	with	ADP
ap-4615	9	11	the	the	DET
ap-4615	9	12	schrödinger	schrödinger	ADJ
ap-4615	9	13	equation	equation	NOUN
ap-4615	9	14	[	[	X
ap-4615	9	15	7	7	NUM
ap-4615	9	16	]	]	PUNCT
ap-4615	9	17	.	.	PUNCT
ap-4615	10	1	however	however	ADV
ap-4615	10	2	,	,	PUNCT
ap-4615	10	3	with	with	ADP
ap-4615	10	4	the	the	DET
ap-4615	10	5	introduction	introduction	NOUN
ap-4615	10	6	of	of	ADP
ap-4615	10	7	the	the	DET
ap-4615	10	8	klein	klein	PROPN
ap-4615	10	9	-	-	PUNCT
ap-4615	10	10	gordon	gordon	PROPN
ap-4615	10	11	equation	equation	NOUN
ap-4615	10	12	arose	arise	VERB
ap-4615	10	13	several	several	ADJ
ap-4615	10	14	problems	problem	NOUN
ap-4615	10	15	.	.	PUNCT
ap-4615	11	1	for	for	ADP
ap-4615	11	2	given	give	VERB
ap-4615	11	3	momentum	momentum	NOUN
ap-4615	11	4	equation	equation	NOUN
ap-4615	11	5	allows	allow	VERB
ap-4615	11	6	solutions	solution	NOUN
ap-4615	11	7	with	with	ADP
ap-4615	11	8	both	both	CCONJ
ap-4615	11	9	positive	positive	ADJ
ap-4615	11	10	and	and	CCONJ
ap-4615	11	11	negative	negative	ADJ
ap-4615	11	12	energy	energy	NOUN
ap-4615	11	13	,	,	PUNCT
ap-4615	11	14	it	it	PRON
ap-4615	11	15	has	have	VERB
ap-4615	11	16	an	an	DET
ap-4615	11	17	extra	extra	ADJ
ap-4615	11	18	degree	degree	NOUN
ap-4615	11	19	of	of	ADP
ap-4615	11	20	freedom	freedom	NOUN
ap-4615	11	21	due	due	ADP
ap-4615	11	22	to	to	ADP
ap-4615	11	23	presence	presence	NOUN
ap-4615	11	24	of	of	ADP
ap-4615	11	25	both	both	CCONJ
ap-4615	11	26	first	first	ADJ
ap-4615	11	27	and	and	CCONJ
ap-4615	11	28	second	second	ADJ
ap-4615	11	29	derivatives	derivative	NOUN
ap-4615	11	30	and	and	CCONJ
ap-4615	11	31	mainly	mainly	ADV
ap-4615	11	32	its	its	PRON
ap-4615	11	33	density	density	NOUN
ap-4615	11	34	function	function	NOUN
ap-4615	11	35	is	be	AUX
ap-4615	11	36	indefinite	indefinite	ADJ
ap-4615	11	37	and	and	CCONJ
ap-4615	11	38	therefore	therefore	ADV
ap-4615	11	39	can	can	AUX
ap-4615	11	40	not	not	PART
ap-4615	11	41	be	be	AUX
ap-4615	11	42	consistently	consistently	ADV
ap-4615	11	43	interpreted	interpret	VERB
ap-4615	11	44	as	as	ADP
ap-4615	11	45	probability	probability	NOUN
ap-4615	11	46	density	density	NOUN
ap-4615	11	47	.	.	PUNCT
ap-4615	12	1	also	also	ADV
ap-4615	12	2	,	,	PUNCT
ap-4615	12	3	the	the	DET
ap-4615	12	4	predictions	prediction	NOUN
ap-4615	12	5	based	base	VERB
ap-4615	12	6	on	on	ADP
ap-4615	12	7	this	this	DET
ap-4615	12	8	equation	equation	NOUN
ap-4615	12	9	seemed	seem	VERB
ap-4615	12	10	to	to	PART
ap-4615	12	11	disagree	disagree	VERB
ap-4615	12	12	with	with	ADP
ap-4615	12	13	experiments	experiment	NOUN
ap-4615	12	14	(	(	PUNCT
ap-4615	12	15	cf	cf	NOUN
ap-4615	12	16	.	.	NOUN
ap-4615	12	17	,	,	PUNCT
ap-4615	12	18	e.g.	e.g.	ADV
ap-4615	12	19	,	,	PUNCT
ap-4615	12	20	the	the	DET
ap-4615	12	21	historical	historical	ADJ
ap-4615	12	22	remark	remark	NOUN
ap-4615	12	23	in	in	ADP
ap-4615	12	24	[	[	X
ap-4615	12	25	8	8	NUM
ap-4615	12	26	]	]	NUM
ap-4615	12	27	)	)	PUNCT
ap-4615	12	28	.	.	PUNCT
ap-4615	13	1	therefore	therefore	ADV
ap-4615	13	2	,	,	PUNCT
ap-4615	13	3	few	few	ADJ
ap-4615	13	4	years	year	NOUN
ap-4615	13	5	later	later	ADV
ap-4615	13	6	all	all	DET
ap-4615	13	7	the	the	DET
ap-4615	13	8	attention	attention	NOUN
ap-4615	13	9	shifted	shift	VERB
ap-4615	13	10	to	to	ADP
ap-4615	13	11	the	the	DET
ap-4615	13	12	dirac	dirac	NOUN
ap-4615	13	13	equation	equation	NOUN
ap-4615	13	14	.	.	PUNCT
ap-4615	14	1	more	more	ADJ
ap-4615	14	2	than	than	ADP
ap-4615	14	3	ninety	ninety	NUM
ap-4615	14	4	years	year	NOUN
ap-4615	14	5	old	old	ADJ
ap-4615	14	6	problem	problem	NOUN
ap-4615	14	7	of	of	ADP
ap-4615	14	8	proper	proper	ADJ
ap-4615	14	9	probability	probability	NOUN
ap-4615	14	10	interpretation	interpretation	NOUN
ap-4615	14	11	of	of	ADP
ap-4615	14	12	the	the	DET
ap-4615	14	13	klein	klein	PROPN
ap-4615	14	14	-	-	PUNCT
ap-4615	14	15	gordon	gordon	PROPN
ap-4615	14	16	equation	equation	NOUN
ap-4615	14	17	was	be	AUX
ap-4615	14	18	first	first	ADV
ap-4615	14	19	solved	solve	VERB
ap-4615	14	20	in	in	ADP
ap-4615	14	21	1934	1934	NUM
ap-4615	14	22	by	by	ADP
ap-4615	14	23	pauli	pauli	PROPN
ap-4615	14	24	and	and	CCONJ
ap-4615	14	25	weisskopf	weisskopf	VERB
ap-4615	15	1	[	[	X
ap-4615	15	2	9	9	NUM
ap-4615	15	3	]	]	PUNCT
ap-4615	15	4	by	by	ADP
ap-4615	15	5	reinterpreting	reinterpret	VERB
ap-4615	15	6	the	the	DET
ap-4615	15	7	klein	klein	PROPN
ap-4615	15	8	-	-	PUNCT
ap-4615	15	9	gordon	gordon	PROPN
ap-4615	15	10	equation	equation	NOUN
ap-4615	15	11	in	in	ADP
ap-4615	15	12	the	the	DET
ap-4615	15	13	context	context	NOUN
ap-4615	15	14	of	of	ADP
ap-4615	15	15	quantum	quantum	ADJ
ap-4615	15	16	field	field	NOUN
ap-4615	15	17	theory	theory	NOUN
ap-4615	15	18	.	.	PUNCT
ap-4615	16	1	quantum	quantum	ADJ
ap-4615	16	2	mechanical	mechanical	ADJ
ap-4615	16	3	approach	approach	NOUN
ap-4615	16	4	to	to	ADP
ap-4615	16	5	the	the	DET
ap-4615	16	6	klein	klein	PROPN
ap-4615	16	7	-	-	PUNCT
ap-4615	16	8	gordon	gordon	PROPN
ap-4615	16	9	equation	equation	NOUN
ap-4615	16	10	was	be	AUX
ap-4615	16	11	forgotten	forget	VERB
ap-4615	16	12	until	until	SCONJ
ap-4615	16	13	ali	ali	PROPN
ap-4615	16	14	mostafazadeh	mostafazadeh	PROPN
ap-4615	16	15	brought	bring	VERB
ap-4615	16	16	it	it	PRON
ap-4615	16	17	back	back	ADV
ap-4615	16	18	in	in	ADP
ap-4615	16	19	2003	2003	NUM
ap-4615	17	1	[	[	X
ap-4615	17	2	10	10	NUM
ap-4615	17	3	]	]	PUNCT
ap-4615	17	4	.	.	PUNCT
ap-4615	18	1	in	in	ADP
ap-4615	18	2	his	his	PRON
ap-4615	18	3	work	work	NOUN
ap-4615	18	4	,	,	PUNCT
ap-4615	18	5	he	he	PRON
ap-4615	18	6	made	make	VERB
ap-4615	18	7	use	use	NOUN
ap-4615	18	8	of	of	ADP
ap-4615	18	9	pseudo	pseudo	NOUN
ap-4615	18	10	or	or	CCONJ
ap-4615	18	11	quasi	quasi	ADJ
ap-4615	18	12	-	-	ADJ
ap-4615	18	13	hermitian	hermitian	ADJ
ap-4615	18	14	approach	approach	NOUN
ap-4615	18	15	to	to	ADP
ap-4615	18	16	quantum	quantum	ADJ
ap-4615	18	17	mechanics	mechanic	NOUN
ap-4615	18	18	.	.	PUNCT
ap-4615	19	1	mathematical	mathematical	ADJ
ap-4615	19	2	ideas	idea	NOUN
ap-4615	19	3	of	of	ADP
ap-4615	19	4	quasi	quasi	ADJ
ap-4615	19	5	-	-	ADJ
ap-4615	19	6	hermitian	hermitian	ADJ
ap-4615	19	7	theory	theory	NOUN
ap-4615	19	8	originate	originate	VERB
ap-4615	19	9	from	from	ADP
ap-4615	19	10	works	work	NOUN
ap-4615	19	11	of	of	ADP
ap-4615	19	12	dieudonné	dieudonné	NOUN
ap-4615	19	13	[	[	X
ap-4615	19	14	11	11	NUM
ap-4615	19	15	]	]	PUNCT
ap-4615	19	16	and	and	CCONJ
ap-4615	19	17	dyson	dyson	NOUN
ap-4615	20	1	[	[	X
ap-4615	20	2	12	12	NUM
ap-4615	20	3	]	]	PUNCT
ap-4615	20	4	,	,	PUNCT
ap-4615	20	5	though	though	SCONJ
ap-4615	20	6	it	it	PRON
ap-4615	20	7	was	be	AUX
ap-4615	20	8	n’t	not	PART
ap-4615	20	9	until	until	ADP
ap-4615	20	10	1992	1992	NUM
ap-4615	20	11	when	when	SCONJ
ap-4615	20	12	the	the	DET
ap-4615	20	13	theory	theory	NOUN
ap-4615	20	14	was	be	AUX
ap-4615	20	15	consistently	consistently	ADV
ap-4615	20	16	explained	explain	VERB
ap-4615	20	17	and	and	CCONJ
ap-4615	20	18	applied	apply	VERB
ap-4615	20	19	in	in	ADP
ap-4615	20	20	nuclear	nuclear	ADJ
ap-4615	20	21	physics	physics	NOUN
ap-4615	20	22	by	by	ADP
ap-4615	20	23	scholtz	scholtz	PROPN
ap-4615	20	24	,	,	PUNCT
ap-4615	20	25	geyer	geyer	NOUN
ap-4615	20	26	and	and	CCONJ
ap-4615	20	27	hahne	hahne	PROPN
ap-4615	21	1	[	[	X
ap-4615	21	2	13	13	NUM
ap-4615	21	3	]	]	PUNCT
ap-4615	21	4	.	.	PUNCT
ap-4615	22	1	this	this	DET
ap-4615	22	2	groundbreaking	groundbreake	VERB
ap-4615	22	3	work	work	NOUN
ap-4615	22	4	initiated	initiate	VERB
ap-4615	22	5	fast	fast	ADJ
ap-4615	22	6	growth	growth	NOUN
ap-4615	22	7	of	of	ADP
ap-4615	22	8	interest	interest	NOUN
ap-4615	22	9	popularized	popularize	VERB
ap-4615	22	10	in	in	ADP
ap-4615	22	11	1998	1998	NUM
ap-4615	22	12	by	by	ADP
ap-4615	22	13	bender	bender	NOUN
ap-4615	22	14	and	and	CCONJ
ap-4615	22	15	boettcher	boettcher	PRON
ap-4615	23	1	[	[	X
ap-4615	23	2	14	14	NUM
ap-4615	23	3	]	]	PUNCT
ap-4615	23	4	.	.	PUNCT
ap-4615	24	1	nowadays	nowadays	ADV
ap-4615	24	2	the	the	DET
ap-4615	24	3	application	application	NOUN
ap-4615	24	4	of	of	ADP
ap-4615	24	5	the	the	DET
ap-4615	24	6	theory	theory	NOUN
ap-4615	24	7	is	be	AUX
ap-4615	24	8	moving	move	VERB
ap-4615	24	9	away	away	ADV
ap-4615	24	10	from	from	ADP
ap-4615	24	11	quantum	quantum	ADJ
ap-4615	24	12	mechanics	mechanic	NOUN
ap-4615	24	13	to	to	ADP
ap-4615	24	14	other	other	ADJ
ap-4615	24	15	branches	branch	NOUN
ap-4615	24	16	of	of	ADP
ap-4615	24	17	physics	physics	NOUN
ap-4615	24	18	,	,	PUNCT
ap-4615	24	19	such	such	ADJ
ap-4615	24	20	as	as	ADP
ap-4615	24	21	optics	optic	NOUN
ap-4615	24	22	.	.	PUNCT
ap-4615	25	1	we	we	PRON
ap-4615	25	2	would	would	AUX
ap-4615	25	3	like	like	VERB
ap-4615	25	4	to	to	PART
ap-4615	25	5	return	return	VERB
ap-4615	25	6	to	to	ADP
ap-4615	25	7	the	the	DET
ap-4615	25	8	problem	problem	NOUN
ap-4615	25	9	of	of	ADP
ap-4615	25	10	proper	proper	ADJ
ap-4615	25	11	interpretation	interpretation	NOUN
ap-4615	25	12	of	of	ADP
ap-4615	25	13	the	the	DET
ap-4615	25	14	klein	klein	PROPN
ap-4615	25	15	-	-	PUNCT
ap-4615	25	16	gordon	gordon	PROPN
ap-4615	25	17	equation	equation	NOUN
ap-4615	25	18	in	in	ADP
ap-4615	25	19	the	the	DET
ap-4615	25	20	framework	framework	NOUN
ap-4615	25	21	of	of	ADP
ap-4615	25	22	quantum	quantum	ADJ
ap-4615	25	23	mechanics	mechanic	NOUN
ap-4615	25	24	only	only	ADV
ap-4615	25	25	.	.	PUNCT
ap-4615	26	1	several	several	ADJ
ap-4615	26	2	publications	publication	NOUN
ap-4615	26	3	concerning	concern	VERB
ap-4615	26	4	this	this	DET
ap-4615	26	5	subject	subject	NOUN
ap-4615	26	6	appeared	appear	VERB
ap-4615	26	7	[	[	X
ap-4615	26	8	15–18	15–18	NUM
ap-4615	26	9	]	]	PUNCT
ap-4615	26	10	or	or	CCONJ
ap-4615	26	11	[	[	X
ap-4615	26	12	19–21	19–21	NUM
ap-4615	26	13	]	]	X
ap-4615	26	14	.	.	PUNCT
ap-4615	27	1	but	but	CCONJ
ap-4615	27	2	even	even	ADV
ap-4615	27	3	these	these	DET
ap-4615	27	4	studies	study	NOUN
ap-4615	27	5	did	do	AUX
ap-4615	27	6	not	not	PART
ap-4615	27	7	provide	provide	VERB
ap-4615	27	8	an	an	DET
ap-4615	27	9	ultimate	ultimate	ADJ
ap-4615	27	10	answer	answer	NOUN
ap-4615	27	11	to	to	ADP
ap-4615	27	12	all	all	PRON
ap-4615	27	13	of	of	ADP
ap-4615	27	14	the	the	DET
ap-4615	27	15	open	open	ADJ
ap-4615	27	16	questions	question	NOUN
ap-4615	27	17	.	.	PUNCT
ap-4615	28	1	some	some	PRON
ap-4615	28	2	of	of	ADP
ap-4615	28	3	them	they	PRON
ap-4615	28	4	will	will	AUX
ap-4615	28	5	be	be	AUX
ap-4615	28	6	addressed	address	VERB
ap-4615	28	7	in	in	ADP
ap-4615	28	8	what	what	PRON
ap-4615	28	9	follows	follow	VERB
ap-4615	28	10	.	.	PUNCT
ap-4615	29	1	2	2	X
ap-4615	29	2	.	.	X
ap-4615	29	3	klein	klein	PROPN
ap-4615	29	4	-	-	PUNCT
ap-4615	29	5	gordon	gordon	PROPN
ap-4615	29	6	equation	equation	NOUN
ap-4615	29	7	in	in	ADP
ap-4615	29	8	schrödinger	schrödinger	ADJ
ap-4615	29	9	form	form	NOUN
ap-4615	29	10	the	the	DET
ap-4615	29	11	klein	klein	PROPN
ap-4615	29	12	-	-	PUNCT
ap-4615	29	13	gordon	gordon	PROPN
ap-4615	29	14	equation	equation	NOUN
ap-4615	29	15	for	for	ADP
ap-4615	29	16	free	free	ADJ
ap-4615	29	17	particle	particle	NOUN
ap-4615	29	18	can	can	AUX
ap-4615	29	19	be	be	AUX
ap-4615	29	20	written	write	VERB
ap-4615	29	21	in	in	ADP
ap-4615	29	22	common	common	ADJ
ap-4615	29	23	form	form	NOUN
ap-4615	29	24	(	(	PUNCT
ap-4615	29	25	�	�	PROPN
ap-4615	29	26	+	+	CCONJ
ap-4615	29	27	m2c2	m2c2	X
ap-4615	29	28	~2	~2	NOUN
ap-4615	29	29	)	)	PUNCT
ap-4615	29	30	ψ(t	ψ(t	PROPN
ap-4615	29	31	,	,	PUNCT
ap-4615	29	32	x	x	NOUN
ap-4615	29	33	)	)	PUNCT
ap-4615	29	34	=	=	SYM
ap-4615	29	35	0	0	NUM
ap-4615	29	36	,	,	PUNCT
ap-4615	29	37	(	(	PUNCT
ap-4615	29	38	1	1	X
ap-4615	29	39	)	)	PUNCT
ap-4615	29	40	where	where	SCONJ
ap-4615	29	41	�	�	PROPN
ap-4615	29	42	=	=	SYM
ap-4615	29	43	1	1	NUM
ap-4615	29	44	c2	c2	PROPN
ap-4615	29	45	∂	∂	NUM
ap-4615	29	46	2	2	NUM
ap-4615	29	47	t	t	NOUN
ap-4615	29	48	−∆	−∆	NOUN
ap-4615	29	49	=	=	SYM
ap-4615	30	1	∂µ∂	∂µ∂	PROPN
ap-4615	30	2	µ	µ	NOUN
ap-4615	30	3	is	be	AUX
ap-4615	30	4	the	the	DET
ap-4615	30	5	d’alembert	d’alembert	NOUN
ap-4615	30	6	operator	operator	NOUN
ap-4615	30	7	.	.	PUNCT
ap-4615	31	1	from	from	ADP
ap-4615	31	2	now	now	ADV
ap-4615	31	3	on	on	ADV
ap-4615	31	4	we	we	PRON
ap-4615	31	5	will	will	AUX
ap-4615	31	6	use	use	VERB
ap-4615	31	7	the	the	DET
ap-4615	31	8	natural	natural	ADJ
ap-4615	31	9	units	unit	NOUN
ap-4615	31	10	c	c	NOUN
ap-4615	31	11	=	=	SYM
ap-4615	31	12	~	~	PUNCT
ap-4615	31	13	=	=	SYM
ap-4615	31	14	1	1	NUM
ap-4615	31	15	,	,	PUNCT
ap-4615	31	16	furthermore	furthermore	ADV
ap-4615	31	17	we	we	PRON
ap-4615	31	18	can	can	AUX
ap-4615	31	19	denote	denote	VERB
ap-4615	31	20	k	k	NOUN
ap-4615	32	1	=	=	PUNCT
ap-4615	33	1	−∆	−∆	PROPN
ap-4615	34	1	+	+	ADJ
ap-4615	34	2	m2	m2	PROPN
ap-4615	34	3	and	and	CCONJ
ap-4615	34	4	rewrite	rewrite	PROPN
ap-4615	34	5	(	(	PUNCT
ap-4615	34	6	1	1	NUM
ap-4615	34	7	)	)	PUNCT
ap-4615	34	8	as	as	ADP
ap-4615	34	9	(	(	PUNCT
ap-4615	34	10	i∂t)2ψ(t	i∂t)2ψ(t	X
ap-4615	34	11	,	,	PUNCT
ap-4615	34	12	x	x	X
ap-4615	34	13	)	)	PUNCT
ap-4615	35	1	=	=	SYM
ap-4615	35	2	kψ(t	kψ(t	X
ap-4615	35	3	,	,	PUNCT
ap-4615	35	4	x	x	NOUN
ap-4615	35	5	)	)	PUNCT
ap-4615	35	6	.	.	PUNCT
ap-4615	36	1	(	(	PUNCT
ap-4615	36	2	2	2	X
ap-4615	36	3	)	)	PUNCT
ap-4615	36	4	the	the	DET
ap-4615	36	5	fact	fact	NOUN
ap-4615	36	6	that	that	SCONJ
ap-4615	36	7	the	the	DET
ap-4615	36	8	klein	klein	PROPN
ap-4615	36	9	-	-	PUNCT
ap-4615	36	10	gordon	gordon	PROPN
ap-4615	36	11	equation	equation	NOUN
ap-4615	36	12	is	be	AUX
ap-4615	36	13	differential	differential	ADJ
ap-4615	36	14	equation	equation	NOUN
ap-4615	36	15	of	of	ADP
ap-4615	36	16	second	second	ADJ
ap-4615	36	17	order	order	NOUN
ap-4615	36	18	in	in	ADP
ap-4615	36	19	time	time	NOUN
ap-4615	36	20	gives	give	VERB
ap-4615	36	21	it	it	PRON
ap-4615	36	22	an	an	DET
ap-4615	36	23	extra	extra	ADJ
ap-4615	36	24	degree	degree	NOUN
ap-4615	36	25	of	of	ADP
ap-4615	36	26	freedom	freedom	NOUN
ap-4615	36	27	.	.	PUNCT
ap-4615	37	1	feshbach	feshbach	PROPN
ap-4615	37	2	and	and	CCONJ
ap-4615	37	3	villars	villar	NOUN
ap-4615	38	1	[	[	X
ap-4615	38	2	22	22	NUM
ap-4615	38	3	]	]	PUNCT
ap-4615	38	4	suggested	suggest	VERB
ap-4615	38	5	solution	solution	NOUN
ap-4615	38	6	to	to	ADP
ap-4615	38	7	this	this	DET
ap-4615	38	8	problem	problem	NOUN
ap-4615	38	9	by	by	ADP
ap-4615	38	10	introducing	introduce	VERB
ap-4615	38	11	twocomponent	twocomponent	NOUN
ap-4615	38	12	wave	wave	NOUN
ap-4615	38	13	function	function	NOUN
ap-4615	38	14	and	and	CCONJ
ap-4615	38	15	therefore	therefore	ADV
ap-4615	38	16	making	make	VERB
ap-4615	38	17	the	the	DET
ap-4615	38	18	extra	extra	ADJ
ap-4615	38	19	degree	degree	NOUN
ap-4615	38	20	of	of	ADP
ap-4615	38	21	freedom	freedom	NOUN
ap-4615	38	22	more	more	ADV
ap-4615	38	23	visible	visible	ADJ
ap-4615	38	24	.	.	PUNCT
ap-4615	39	1	following	follow	VERB
ap-4615	39	2	their	their	PRON
ap-4615	39	3	ideas	idea	NOUN
ap-4615	39	4	together	together	ADV
ap-4615	39	5	with	with	ADP
ap-4615	39	6	even	even	ADV
ap-4615	39	7	earlier	early	ADJ
ap-4615	39	8	ideas	idea	NOUN
ap-4615	39	9	of	of	ADP
ap-4615	39	10	foldy	foldy	NOUN
ap-4615	39	11	[	[	X
ap-4615	39	12	23	23	NUM
ap-4615	39	13	]	]	PUNCT
ap-4615	39	14	,	,	PUNCT
ap-4615	39	15	we	we	PRON
ap-4615	39	16	can	can	AUX
ap-4615	39	17	replace	replace	VERB
ap-4615	39	18	the	the	DET
ap-4615	39	19	klein	klein	PROPN
ap-4615	39	20	-	-	PUNCT
ap-4615	39	21	gordon	gordon	PROPN
ap-4615	39	22	equation	equation	NOUN
ap-4615	39	23	with	with	ADP
ap-4615	39	24	two	two	NUM
ap-4615	39	25	differential	differential	ADJ
ap-4615	39	26	equation	equation	NOUN
ap-4615	39	27	of	of	ADP
ap-4615	39	28	first	first	ADJ
ap-4615	39	29	order	order	NOUN
ap-4615	39	30	in	in	ADP
ap-4615	39	31	time	time	NOUN
ap-4615	39	32	.	.	PUNCT
ap-4615	40	1	inspired	inspire	VERB
ap-4615	40	2	by	by	ADP
ap-4615	40	3	convention	convention	NOUN
ap-4615	40	4	introduced	introduce	VERB
ap-4615	40	5	in	in	ADP
ap-4615	40	6	[	[	X
ap-4615	40	7	19	19	NUM
ap-4615	40	8	]	]	X
ap-4615	40	9	we	we	PRON
ap-4615	40	10	put	put	VERB
ap-4615	40	11	ψ(1	ψ(1	PRON
ap-4615	40	12	)	)	PUNCT
ap-4615	41	1	=	=	PUNCT
ap-4615	41	2	i∂tψ	i∂tψ	PROPN
ap-4615	41	3	,	,	PUNCT
ap-4615	41	4	ψ(2	ψ(2	NOUN
ap-4615	41	5	)	)	PUNCT
ap-4615	41	6	=	=	SYM
ap-4615	42	1	ψ	ψ	X
ap-4615	42	2	.	.	PUNCT
ap-4615	42	3	(	(	PUNCT
ap-4615	42	4	3	3	X
ap-4615	42	5	)	)	PUNCT
ap-4615	42	6	now	now	ADV
ap-4615	42	7	,	,	PUNCT
ap-4615	42	8	equation	equation	NOUN
ap-4615	42	9	(	(	PUNCT
ap-4615	42	10	2	2	X
ap-4615	42	11	)	)	PUNCT
ap-4615	42	12	can	can	AUX
ap-4615	42	13	be	be	AUX
ap-4615	42	14	decomposed	decompose	VERB
ap-4615	42	15	into	into	ADP
ap-4615	42	16	a	a	DET
ap-4615	42	17	pair	pair	NOUN
ap-4615	42	18	of	of	ADP
ap-4615	42	19	partial	partial	ADJ
ap-4615	42	20	differential	differential	ADJ
ap-4615	42	21	equations	equation	NOUN
ap-4615	42	22	i∂tψ(1	i∂tψ(1	NOUN
ap-4615	42	23	)	)	PUNCT
ap-4615	42	24	=	=	SYM
ap-4615	42	25	kψ(2	kψ(2	PROPN
ap-4615	42	26	)	)	PUNCT
ap-4615	42	27	,	,	PUNCT
ap-4615	42	28	(	(	PUNCT
ap-4615	42	29	4	4	X
ap-4615	42	30	)	)	PUNCT
ap-4615	42	31	i∂tψ(2	i∂tψ(2	NOUN
ap-4615	42	32	)	)	PUNCT
ap-4615	42	33	=	=	SYM
ap-4615	42	34	ψ(1	ψ(1	PROPN
ap-4615	42	35	)	)	PUNCT
ap-4615	42	36	,	,	PUNCT
ap-4615	42	37	(	(	PUNCT
ap-4615	42	38	5	5	X
ap-4615	42	39	)	)	PUNCT
ap-4615	42	40	which	which	PRON
ap-4615	42	41	,	,	PUNCT
ap-4615	42	42	written	write	VERB
ap-4615	42	43	in	in	ADP
ap-4615	42	44	the	the	DET
ap-4615	42	45	matrix	matrix	NOUN
ap-4615	42	46	form	form	NOUN
ap-4615	42	47	,	,	PUNCT
ap-4615	42	48	become	become	VERB
ap-4615	42	49	i∂t	i∂t	ADJ
ap-4615	42	50	(	(	PUNCT
ap-4615	42	51	ψ(1	ψ(1	NOUN
ap-4615	42	52	)	)	PUNCT
ap-4615	42	53	ψ(2	ψ(2	NOUN
ap-4615	42	54	)	)	PUNCT
ap-4615	42	55	)	)	PUNCT
ap-4615	43	1	=	=	PUNCT
ap-4615	43	2	(	(	PUNCT
ap-4615	43	3	0	0	NUM
ap-4615	43	4	k	k	X
ap-4615	44	1	i	i	NOUN
ap-4615	44	2	0	0	NUM
ap-4615	44	3	)	)	PUNCT
ap-4615	44	4	(	(	PUNCT
ap-4615	44	5	ψ(1	ψ(1	NOUN
ap-4615	44	6	)	)	PUNCT
ap-4615	44	7	ψ(2	ψ(2	NOUN
ap-4615	44	8	)	)	PUNCT
ap-4615	44	9	)	)	PUNCT
ap-4615	44	10	.	.	PUNCT
ap-4615	45	1	(	(	PUNCT
ap-4615	45	2	6	6	X
ap-4615	45	3	)	)	PUNCT
ap-4615	45	4	462	462	NUM
ap-4615	45	5	http://dx.doi.org/10.14311/ap.2017.57.0462	http://dx.doi.org/10.14311/ap.2017.57.0462	NOUN
ap-4615	45	6	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4615	45	7	vol	vol	NOUN
ap-4615	45	8	.	.	PUNCT
ap-4615	46	1	57	57	NUM
ap-4615	46	2	no	no	NOUN
ap-4615	46	3	.	.	PUNCT
ap-4615	47	1	6/2017	6/2017	NUM
ap-4615	47	2	crypto	crypto	VERB
ap-4615	47	3	-	-	ADJ
ap-4615	47	4	hermitian	hermitian	ADJ
ap-4615	47	5	approach	approach	NOUN
ap-4615	47	6	to	to	ADP
ap-4615	47	7	the	the	DET
ap-4615	47	8	klein	klein	PROPN
ap-4615	47	9	–	–	PUNCT
ap-4615	47	10	gordon	gordon	PROPN
ap-4615	47	11	equation	equation	NOUN
ap-4615	47	12	hamiltonian	hamiltonian	NOUN
ap-4615	47	13	of	of	ADP
ap-4615	47	14	the	the	DET
ap-4615	47	15	quantum	quantum	ADJ
ap-4615	47	16	system	system	NOUN
ap-4615	47	17	takes	take	VERB
ap-4615	47	18	form	form	NOUN
ap-4615	47	19	h	h	NOUN
ap-4615	47	20	=	=	PUNCT
ap-4615	48	1	(	(	PUNCT
ap-4615	48	2	0	0	NUM
ap-4615	48	3	k	k	NOUN
ap-4615	48	4	1	1	NUM
ap-4615	48	5	0	0	NUM
ap-4615	48	6	)	)	PUNCT
ap-4615	48	7	,	,	PUNCT
ap-4615	48	8	(	(	PUNCT
ap-4615	48	9	7	7	X
ap-4615	48	10	)	)	PUNCT
ap-4615	49	1	and	and	CCONJ
ap-4615	49	2	enters	enter	VERB
ap-4615	49	3	the	the	DET
ap-4615	49	4	schrödinger	schrödinger	ADJ
ap-4615	49	5	equation	equation	NOUN
ap-4615	49	6	i∂tψ(t	i∂tψ(t	VERB
ap-4615	49	7	,	,	PUNCT
ap-4615	49	8	x	x	NOUN
ap-4615	49	9	)	)	PUNCT
ap-4615	49	10	=	=	PUNCT
ap-4615	49	11	hψ(t	hψ(t	X
ap-4615	49	12	,	,	PUNCT
ap-4615	49	13	x	x	NOUN
ap-4615	49	14	)	)	PUNCT
ap-4615	49	15	,	,	PUNCT
ap-4615	49	16	ψ	ψ	X
ap-4615	49	17	=	=	SYM
ap-4615	49	18	(	(	PUNCT
ap-4615	49	19	ψ(1	ψ(1	PROPN
ap-4615	49	20	)	)	PUNCT
ap-4615	49	21	ψ(2	ψ(2	NOUN
ap-4615	49	22	)	)	PUNCT
ap-4615	49	23	)	)	PUNCT
ap-4615	49	24	.	.	PUNCT
ap-4615	50	1	(	(	PUNCT
ap-4615	50	2	8)	8)	NUM
ap-4615	50	3	two	two	NUM
ap-4615	50	4	-	-	PUNCT
ap-4615	50	5	component	component	NOUN
ap-4615	50	6	vectors	vector	NOUN
ap-4615	50	7	ψ(t	ψ(t	NOUN
ap-4615	50	8	)	)	PUNCT
ap-4615	50	9	belong	belong	VERB
ap-4615	50	10	to	to	ADP
ap-4615	50	11	h	h	NOUN
ap-4615	50	12	=	=	NOUN
ap-4615	50	13	l2(r3)⊕	l2(r3)⊕	PROPN
ap-4615	50	14	l2(r3	l2(r3	ADJ
ap-4615	50	15	)	)	PUNCT
ap-4615	50	16	(	(	PUNCT
ap-4615	50	17	9	9	NUM
ap-4615	50	18	)	)	PUNCT
ap-4615	50	19	and	and	CCONJ
ap-4615	50	20	the	the	DET
ap-4615	50	21	hamiltonian	hamiltonian	ADJ
ap-4615	50	22	h	h	NOUN
ap-4615	50	23	may	may	AUX
ap-4615	50	24	be	be	AUX
ap-4615	50	25	viewed	view	VERB
ap-4615	50	26	as	as	ADP
ap-4615	50	27	acting	act	VERB
ap-4615	50	28	in	in	ADP
ap-4615	50	29	h.	h.	PROPN
ap-4615	50	30	the	the	DET
ap-4615	50	31	so	so	ADV
ap-4615	50	32	called	call	VERB
ap-4615	50	33	schrödinger	schrödinger	ADJ
ap-4615	50	34	form	form	NOUN
ap-4615	50	35	of	of	ADP
ap-4615	50	36	the	the	DET
ap-4615	50	37	klein	klein	PROPN
ap-4615	50	38	-	-	PUNCT
ap-4615	50	39	gordon	gordon	PROPN
ap-4615	50	40	equation	equation	NOUN
ap-4615	50	41	(	(	PUNCT
ap-4615	50	42	8)	8)	NUM
ap-4615	50	43	is	be	AUX
ap-4615	50	44	equivalent	equivalent	ADJ
ap-4615	50	45	to	to	ADP
ap-4615	50	46	the	the	DET
ap-4615	50	47	original	original	ADJ
ap-4615	50	48	klein	klein	PROPN
ap-4615	50	49	-	-	PUNCT
ap-4615	50	50	gordon	gordon	PROPN
ap-4615	50	51	equation	equation	NOUN
ap-4615	50	52	(	(	PUNCT
ap-4615	50	53	1	1	NUM
ap-4615	50	54	)	)	PUNCT
ap-4615	50	55	.	.	PUNCT
ap-4615	51	1	it	it	PRON
ap-4615	51	2	is	be	AUX
ap-4615	51	3	in	in	ADP
ap-4615	51	4	more	more	ADV
ap-4615	51	5	familiar	familiar	ADJ
ap-4615	51	6	form	form	NOUN
ap-4615	51	7	,	,	PUNCT
ap-4615	51	8	although	although	SCONJ
ap-4615	51	9	,	,	PUNCT
ap-4615	51	10	new	new	ADJ
ap-4615	51	11	challenge	challenge	NOUN
ap-4615	51	12	arises	arise	VERB
ap-4615	51	13	with	with	ADP
ap-4615	51	14	the	the	DET
ap-4615	51	15	manifest	manif	ADJ
ap-4615	51	16	non	non	NOUN
ap-4615	51	17	-	-	NOUN
ap-4615	51	18	hermiticity	hermiticity	NOUN
ap-4615	51	19	of	of	ADP
ap-4615	51	20	hamiltonian	hamiltonian	NOUN
ap-4615	51	21	(	(	PUNCT
ap-4615	51	22	7	7	NUM
ap-4615	51	23	)	)	PUNCT
ap-4615	51	24	.	.	PUNCT
ap-4615	52	1	2.1	2.1	NUM
ap-4615	52	2	.	.	PUNCT
ap-4615	53	1	eigenvalues	eigenvalue	VERB
ap-4615	53	2	new	new	ADJ
ap-4615	53	3	form	form	NOUN
ap-4615	53	4	of	of	ADP
ap-4615	53	5	the	the	DET
ap-4615	53	6	klein	klein	PROPN
ap-4615	53	7	-	-	PUNCT
ap-4615	53	8	gordon	gordon	PROPN
ap-4615	53	9	equation	equation	NOUN
ap-4615	53	10	(	(	PUNCT
ap-4615	53	11	8)	8)	NUM
ap-4615	53	12	has	have	AUX
ap-4615	53	13	many	many	ADJ
ap-4615	53	14	benefits	benefit	NOUN
ap-4615	53	15	.	.	PUNCT
ap-4615	54	1	one	one	NUM
ap-4615	54	2	of	of	ADP
ap-4615	54	3	them	they	PRON
ap-4615	54	4	is	be	AUX
ap-4615	54	5	simplification	simplification	NOUN
ap-4615	54	6	of	of	ADP
ap-4615	54	7	calculation	calculation	NOUN
ap-4615	54	8	of	of	ADP
ap-4615	54	9	its	its	PRON
ap-4615	54	10	eigenvalues	eigenvalue	NOUN
ap-4615	54	11	to	to	ADP
ap-4615	54	12	mere	mere	ADJ
ap-4615	54	13	solving	solve	VERB
ap-4615	54	14	the	the	DET
ap-4615	54	15	eigenvalue	eigenvalue	PROPN
ap-4615	54	16	problem	problem	NOUN
ap-4615	54	17	for	for	ADP
ap-4615	54	18	operator	operator	NOUN
ap-4615	54	19	k	k	PROPN
ap-4615	54	20	kψn	kψn	PROPN
ap-4615	55	1	=	=	PROPN
ap-4615	55	2	εnψn	εnψn	PROPN
ap-4615	55	3	.	.	PUNCT
ap-4615	56	1	(	(	PUNCT
ap-4615	56	2	10	10	NUM
ap-4615	56	3	)	)	PUNCT
ap-4615	56	4	the	the	DET
ap-4615	56	5	relationship	relationship	NOUN
ap-4615	56	6	between	between	ADP
ap-4615	56	7	eigenvalues	eigenvalue	NOUN
ap-4615	56	8	εn	εn	ADJ
ap-4615	56	9	of	of	ADP
ap-4615	56	10	the	the	DET
ap-4615	56	11	operator	operator	NOUN
ap-4615	56	12	k	k	PROPN
ap-4615	56	13	and	and	CCONJ
ap-4615	56	14	eigenvalues	eigenvalue	VERB
ap-4615	56	15	en	en	ADP
ap-4615	56	16	of	of	ADP
ap-4615	56	17	the	the	DET
ap-4615	56	18	non	non	ADJ
ap-4615	56	19	-	-	ADJ
ap-4615	56	20	hermitian	hermitian	ADJ
ap-4615	56	21	operator	operator	NOUN
ap-4615	56	22	h	h	NOUN
ap-4615	56	23	of	of	ADP
ap-4615	56	24	the	the	DET
ap-4615	56	25	schrödinger	schrödinger	ADJ
ap-4615	56	26	form	form	NOUN
ap-4615	56	27	of	of	ADP
ap-4615	56	28	the	the	DET
ap-4615	56	29	klein	klein	PROPN
ap-4615	56	30	-	-	PUNCT
ap-4615	56	31	gordon	gordon	PROPN
ap-4615	56	32	equation	equation	NOUN
ap-4615	56	33	(	(	PUNCT
ap-4615	56	34	0	0	PUNCT
ap-4615	56	35	k	k	X
ap-4615	57	1	i	i	NOUN
ap-4615	57	2	0	0	NUM
ap-4615	57	3	)	)	PUNCT
ap-4615	57	4	(	(	PUNCT
ap-4615	57	5	ψ(1	ψ(1	NOUN
ap-4615	57	6	)	)	PUNCT
ap-4615	57	7	ψ(2	ψ(2	NOUN
ap-4615	57	8	)	)	PUNCT
ap-4615	57	9	)	)	PUNCT
ap-4615	58	1	=	=	PUNCT
ap-4615	58	2	e	e	X
ap-4615	58	3	(	(	PUNCT
ap-4615	58	4	ψ(1	ψ(1	PROPN
ap-4615	58	5	)	)	PUNCT
ap-4615	58	6	ψ(2	ψ(2	NOUN
ap-4615	58	7	)	)	PUNCT
ap-4615	58	8	)	)	PUNCT
ap-4615	59	1	(	(	PUNCT
ap-4615	59	2	11	11	NUM
ap-4615	59	3	)	)	PUNCT
ap-4615	59	4	can	can	AUX
ap-4615	59	5	be	be	AUX
ap-4615	59	6	easily	easily	ADV
ap-4615	59	7	seen	see	VERB
ap-4615	59	8	.	.	PUNCT
ap-4615	60	1	equation	equation	NOUN
ap-4615	60	2	(	(	PUNCT
ap-4615	60	3	11	11	NUM
ap-4615	60	4	)	)	PUNCT
ap-4615	60	5	is	be	AUX
ap-4615	60	6	formed	form	VERB
ap-4615	60	7	from	from	ADP
ap-4615	60	8	two	two	NUM
ap-4615	60	9	algebraic	algebraic	ADJ
ap-4615	60	10	equations	equation	NOUN
ap-4615	60	11	kψ(2	kψ(2	NOUN
ap-4615	60	12	)	)	PUNCT
ap-4615	60	13	=	=	SYM
ap-4615	60	14	eψ(1	eψ(1	PROPN
ap-4615	60	15	)	)	PUNCT
ap-4615	60	16	,	,	PUNCT
ap-4615	60	17	ψ(1	ψ(1	PROPN
ap-4615	60	18	)	)	PUNCT
ap-4615	60	19	=	=	SYM
ap-4615	60	20	eψ(2	eψ(2	PROPN
ap-4615	60	21	)	)	PUNCT
ap-4615	60	22	.	.	PUNCT
ap-4615	61	1	(	(	PUNCT
ap-4615	61	2	12	12	NUM
ap-4615	61	3	)	)	PUNCT
ap-4615	61	4	after	after	ADP
ap-4615	61	5	insertion	insertion	NOUN
ap-4615	61	6	of	of	ADP
ap-4615	61	7	the	the	DET
ap-4615	61	8	second	second	ADJ
ap-4615	61	9	one	one	NUM
ap-4615	61	10	to	to	ADP
ap-4615	61	11	the	the	DET
ap-4615	61	12	first	first	ADJ
ap-4615	61	13	one	one	NUM
ap-4615	61	14	we	we	PRON
ap-4615	61	15	obtain	obtain	VERB
ap-4615	61	16	kψ(2	kψ(2	NOUN
ap-4615	61	17	)	)	PUNCT
ap-4615	61	18	n	n	PROPN
ap-4615	61	19	=	=	PROPN
ap-4615	61	20	e2	e2	PROPN
ap-4615	61	21	nψ(2	nψ(2	PROPN
ap-4615	61	22	)	)	PUNCT
ap-4615	61	23	n	n	NOUN
ap-4615	61	24	,	,	PUNCT
ap-4615	61	25	(	(	PUNCT
ap-4615	61	26	13	13	NUM
ap-4615	61	27	)	)	PUNCT
ap-4615	61	28	which	which	PRON
ap-4615	61	29	compared	compare	VERB
ap-4615	61	30	with	with	ADP
ap-4615	61	31	equation	equation	NOUN
ap-4615	61	32	(	(	PUNCT
ap-4615	61	33	10	10	NUM
ap-4615	61	34	)	)	PUNCT
ap-4615	61	35	gives	give	VERB
ap-4615	61	36	us	we	PRON
ap-4615	61	37	following	follow	VERB
ap-4615	61	38	relation	relation	NOUN
ap-4615	61	39	between	between	ADP
ap-4615	61	40	eigenvalues	eigenvalue	NOUN
ap-4615	61	41	εn	εn	ADJ
ap-4615	61	42	=	=	SYM
ap-4615	61	43	e2	e2	PROPN
ap-4615	61	44	n.	n.	PROPN
ap-4615	61	45	(	(	PUNCT
ap-4615	61	46	14	14	NUM
ap-4615	61	47	)	)	PUNCT
ap-4615	61	48	we	we	PRON
ap-4615	61	49	can	can	AUX
ap-4615	61	50	see	see	VERB
ap-4615	61	51	,	,	PUNCT
ap-4615	61	52	that	that	PRON
ap-4615	61	53	eigenvalues	eigenvalue	VERB
ap-4615	61	54	en	en	X
ap-4615	61	55	remain	remain	VERB
ap-4615	61	56	real	real	ADJ
ap-4615	61	57	under	under	ADP
ap-4615	61	58	assumption	assumption	NOUN
ap-4615	61	59	of	of	ADP
ap-4615	61	60	εn	εn	ADJ
ap-4615	61	61	>	>	X
ap-4615	61	62	0	0	X
ap-4615	61	63	.	.	PUNCT
ap-4615	61	64	relationship	relationship	NOUN
ap-4615	61	65	between	between	ADP
ap-4615	61	66	corresponding	correspond	VERB
ap-4615	61	67	eigenvectors	eigenvector	NOUN
ap-4615	61	68	hψ(±	hψ(±	NUM
ap-4615	61	69	)	)	PUNCT
ap-4615	61	70	n	n	NOUN
ap-4615	61	71	=	=	SYM
ap-4615	61	72	e(±	e(±	NOUN
ap-4615	61	73	)	)	PUNCT
ap-4615	61	74	n	n	CCONJ
ap-4615	61	75	ψ(±	ψ(±	NUM
ap-4615	61	76	)	)	PUNCT
ap-4615	61	77	n	n	NOUN
ap-4615	61	78	,	,	PUNCT
ap-4615	61	79	ψ(±	ψ(±	NUM
ap-4615	61	80	)	)	PUNCT
ap-4615	61	81	n	n	NOUN
ap-4615	61	82	=	=	SYM
ap-4615	61	83	(	(	PUNCT
ap-4615	61	84	±√εnψn	±√εnψn	NOUN
ap-4615	61	85	ψn	ψn	X
ap-4615	61	86	)	)	PUNCT
ap-4615	61	87	(	(	PUNCT
ap-4615	61	88	15	15	NUM
ap-4615	61	89	)	)	PUNCT
ap-4615	61	90	is	be	AUX
ap-4615	61	91	also	also	ADV
ap-4615	61	92	easy	easy	ADJ
ap-4615	61	93	to	to	PART
ap-4615	61	94	see	see	VERB
ap-4615	61	95	.	.	PUNCT
ap-4615	62	1	2.2	2.2	NUM
ap-4615	62	2	.	.	PUNCT
ap-4615	62	3	free	free	PROPN
ap-4615	62	4	klein	klein	PROPN
ap-4615	62	5	–	–	PUNCT
ap-4615	62	6	gordon	gordon	PROPN
ap-4615	62	7	equation	equation	NOUN
ap-4615	62	8	in	in	ADP
ap-4615	62	9	case	case	NOUN
ap-4615	62	10	of	of	ADP
ap-4615	62	11	free	free	PROPN
ap-4615	62	12	klein	klein	PROPN
ap-4615	62	13	–	–	PUNCT
ap-4615	62	14	gordon	gordon	PROPN
ap-4615	62	15	equation	equation	NOUN
ap-4615	62	16	operator	operator	NOUN
ap-4615	62	17	k	k	NOUN
ap-4615	62	18	=	=	PUNCT
ap-4615	62	19	−∆	−∆	PROPN
ap-4615	63	1	+	+	SYM
ap-4615	63	2	m2	m2	PROPN
ap-4615	63	3	(	(	PUNCT
ap-4615	63	4	16	16	NUM
ap-4615	63	5	)	)	PUNCT
ap-4615	63	6	acting	act	VERB
ap-4615	63	7	on	on	ADP
ap-4615	63	8	h	h	NOUN
ap-4615	63	9	=	=	NOUN
ap-4615	63	10	l2(r3	l2(r3	NOUN
ap-4615	63	11	)	)	PUNCT
ap-4615	63	12	is	be	AUX
ap-4615	63	13	positive	positive	ADJ
ap-4615	63	14	and	and	CCONJ
ap-4615	63	15	hermitian	hermitian	ADJ
ap-4615	63	16	.	.	PUNCT
ap-4615	64	1	it	it	PRON
ap-4615	64	2	has	have	VERB
ap-4615	64	3	continuous	continuous	ADJ
ap-4615	64	4	and	and	CCONJ
ap-4615	64	5	degenerate	degenerate	ADJ
ap-4615	64	6	spectrum	spectrum	NOUN
ap-4615	64	7	.	.	PUNCT
ap-4615	65	1	as	as	SCONJ
ap-4615	65	2	suggested	suggest	VERB
ap-4615	65	3	in	in	ADP
ap-4615	65	4	[	[	X
ap-4615	65	5	10	10	NUM
ap-4615	65	6	]	]	PUNCT
ap-4615	65	7	,	,	PUNCT
ap-4615	65	8	we	we	PRON
ap-4615	65	9	identify	identify	VERB
ap-4615	65	10	the	the	DET
ap-4615	65	11	space	space	NOUN
ap-4615	65	12	r3	r3	NOUN
ap-4615	65	13	with	with	ADP
ap-4615	65	14	the	the	DET
ap-4615	65	15	volume	volume	NOUN
ap-4615	65	16	of	of	ADP
ap-4615	65	17	a	a	DET
ap-4615	65	18	cube	cube	NOUN
ap-4615	65	19	of	of	ADP
ap-4615	65	20	side	side	NOUN
ap-4615	65	21	l	l	NOUN
ap-4615	65	22	,	,	PUNCT
ap-4615	65	23	as	as	SCONJ
ap-4615	65	24	l	l	NOUN
ap-4615	65	25	tends	tend	VERB
ap-4615	65	26	to	to	PART
ap-4615	65	27	infinity	infinity	VERB
ap-4615	65	28	.	.	PUNCT
ap-4615	66	1	than	than	SCONJ
ap-4615	66	2	we	we	PRON
ap-4615	66	3	can	can	AUX
ap-4615	66	4	treat	treat	VERB
ap-4615	66	5	the	the	DET
ap-4615	66	6	continuous	continuous	ADJ
ap-4615	66	7	spectrum	spectrum	NOUN
ap-4615	66	8	of	of	ADP
ap-4615	66	9	k	k	PROPN
ap-4615	66	10	as	as	ADP
ap-4615	66	11	the	the	DET
ap-4615	66	12	limit	limit	NOUN
ap-4615	66	13	of	of	ADP
ap-4615	66	14	the	the	DET
ap-4615	66	15	discrete	discrete	ADJ
ap-4615	66	16	spectrum	spectrum	NOUN
ap-4615	66	17	corresponding	correspond	VERB
ap-4615	66	18	to	to	ADP
ap-4615	66	19	the	the	DET
ap-4615	66	20	approximation	approximation	NOUN
ap-4615	66	21	.	.	PUNCT
ap-4615	67	1	the	the	DET
ap-4615	67	2	eigenvalues	eigenvalue	NOUN
ap-4615	67	3	are	be	AUX
ap-4615	67	4	given	give	VERB
ap-4615	67	5	by	by	ADP
ap-4615	67	6	ε	ε	PROPN
ap-4615	67	7	~	~	SYM
ap-4615	67	8	k	k	X
ap-4615	67	9	=	=	SYM
ap-4615	67	10	k2	k2	PROPN
ap-4615	67	11	+	+	PROPN
ap-4615	67	12	m2	m2	PROPN
ap-4615	67	13	(	(	PUNCT
ap-4615	67	14	17	17	NUM
ap-4615	67	15	)	)	PUNCT
ap-4615	67	16	and	and	CCONJ
ap-4615	67	17	corresponding	correspond	VERB
ap-4615	67	18	eigenvectors	eigenvector	NOUN
ap-4615	67	19	ψ	ψ	ADP
ap-4615	67	20	~	~	SYM
ap-4615	67	21	k	k	X
ap-4615	67	22	=	=	PUNCT
ap-4615	67	23	ψ(2	ψ(2	NOUN
ap-4615	67	24	)	)	PUNCT
ap-4615	67	25	~k	~k	PROPN
ap-4615	67	26	are	be	AUX
ap-4615	67	27	ψ	ψ	X
ap-4615	67	28	~	~	X
ap-4615	67	29	k(~x	k(~x	X
ap-4615	67	30	)	)	PUNCT
ap-4615	67	31	=	=	PUNCT
ap-4615	68	1	〈	〈	PROPN
ap-4615	68	2	~x|~k	~x|~k	NOUN
ap-4615	68	3	〉	〉	NOUN
ap-4615	68	4	=	=	SYM
ap-4615	68	5	(	(	PUNCT
ap-4615	68	6	2π)−3/2ei	2π)−3/2ei	NUM
ap-4615	68	7	~k.~x	~k.~x	NUM
ap-4615	68	8	,	,	PUNCT
ap-4615	68	9	(	(	PUNCT
ap-4615	68	10	18	18	NUM
ap-4615	68	11	)	)	PUNCT
ap-4615	68	12	where	where	SCONJ
ap-4615	68	13	~k	~k	PUNCT
ap-4615	68	14	∈	∈	PROPN
ap-4615	68	15	r3	r3	PROPN
ap-4615	68	16	and	and	CCONJ
ap-4615	68	17	~k.~k	~k.~k	ADJ
ap-4615	68	18	=	=	SYM
ap-4615	68	19	k2	k2	NOUN
ap-4615	68	20	.	.	PUNCT
ap-4615	69	1	we	we	PRON
ap-4615	69	2	can	can	AUX
ap-4615	69	3	see	see	VERB
ap-4615	69	4	that	that	PRON
ap-4615	69	5	ψ	ψ	ADP
ap-4615	69	6	~	~	SYM
ap-4615	69	7	k	k	X
ap-4615	69	8	/∈	/∈	PUNCT
ap-4615	69	9	l2(r3	l2(r3	ADJ
ap-4615	69	10	)	)	PUNCT
ap-4615	69	11	.	.	PUNCT
ap-4615	70	1	they	they	PRON
ap-4615	70	2	are	be	AUX
ap-4615	70	3	generalized	generalized	ADJ
ap-4615	70	4	eigenvectors	eigenvector	NOUN
ap-4615	70	5	,	,	PUNCT
ap-4615	70	6	i.e.	i.e.	X
ap-4615	70	7	vectors	vector	NOUN
ap-4615	70	8	which	which	PRON
ap-4615	70	9	eventually	eventually	ADV
ap-4615	70	10	becomes	become	VERB
ap-4615	70	11	0	0	PUNCT
ap-4615	70	12	if	if	SCONJ
ap-4615	70	13	(	(	PUNCT
ap-4615	70	14	k−λi	k−λi	NOUN
ap-4615	70	15	)	)	PUNCT
ap-4615	70	16	is	be	AUX
ap-4615	70	17	applied	apply	VERB
ap-4615	70	18	to	to	ADP
ap-4615	70	19	it	it	PRON
ap-4615	70	20	enough	enough	ADJ
ap-4615	70	21	times	time	NOUN
ap-4615	70	22	successively	successively	ADV
ap-4615	70	23	,	,	PUNCT
ap-4615	70	24	describing	describe	VERB
ap-4615	70	25	scattering	scatter	VERB
ap-4615	70	26	states	state	NOUN
ap-4615	70	27	[	[	X
ap-4615	70	28	10	10	NUM
ap-4615	70	29	]	]	PUNCT
ap-4615	70	30	.	.	PUNCT
ap-4615	71	1	vectors	vector	NOUN
ap-4615	71	2	ψ	ψ	SYM
ap-4615	71	3	~	~	SYM
ap-4615	71	4	k	k	PROPN
ap-4615	71	5	satisfy	satisfy	PROPN
ap-4615	71	6	orthonormality	orthonormality	PROPN
ap-4615	71	7	and	and	CCONJ
ap-4615	71	8	completeness	completeness	NOUN
ap-4615	71	9	conditions	condition	NOUN
ap-4615	71	10	〈	〈	PROPN
ap-4615	71	11	~k|~k′	~k|~k′	NOUN
ap-4615	71	12	〉	〉	NOUN
ap-4615	71	13	=	=	SYM
ap-4615	71	14	δ(~k	δ(~k	PROPN
ap-4615	71	15	−	−	PROPN
ap-4615	71	16	~k′	~k′	PROPN
ap-4615	71	17	)	)	PUNCT
ap-4615	71	18	,	,	PUNCT
ap-4615	71	19	∫	∫	PROPN
ap-4615	71	20	d3k|~k〉〈	d3k|~k〉〈	PROPN
ap-4615	71	21	~	~	PROPN
ap-4615	71	22	k|	k|	NOUN
ap-4615	71	23	)	)	PUNCT
ap-4615	71	24	=	=	SYM
ap-4615	71	25	1	1	NUM
ap-4615	71	26	(	(	PUNCT
ap-4615	71	27	19	19	NUM
ap-4615	71	28	)	)	PUNCT
ap-4615	71	29	and	and	CCONJ
ap-4615	71	30	operator	operator	NOUN
ap-4615	71	31	k	k	PROPN
ap-4615	71	32	can	can	AUX
ap-4615	71	33	be	be	AUX
ap-4615	71	34	expressed	express	VERB
ap-4615	71	35	by	by	ADP
ap-4615	71	36	its	its	PRON
ap-4615	71	37	spectral	spectral	ADJ
ap-4615	71	38	resolution	resolution	NOUN
ap-4615	71	39	as	as	ADP
ap-4615	71	40	k	k	PROPN
ap-4615	71	41	=	=	SYM
ap-4615	71	42	∫	∫	PROPN
ap-4615	71	43	d3k(k2	d3k(k2	VERB
ap-4615	71	44	+	+	PROPN
ap-4615	71	45	m2)|~k〉〈	m2)|~k〉〈	PROPN
ap-4615	71	46	~	~	ADJ
ap-4615	71	47	k|	k|	PROPN
ap-4615	71	48	.	.	PUNCT
ap-4615	72	1	(	(	PUNCT
ap-4615	72	2	20	20	NUM
ap-4615	72	3	)	)	PUNCT
ap-4615	72	4	from	from	ADP
ap-4615	72	5	the	the	DET
ap-4615	72	6	relations	relation	NOUN
ap-4615	72	7	(	(	PUNCT
ap-4615	72	8	14	14	NUM
ap-4615	72	9	)	)	PUNCT
ap-4615	72	10	and	and	CCONJ
ap-4615	72	11	(	(	PUNCT
ap-4615	72	12	15	15	X
ap-4615	72	13	)	)	PUNCT
ap-4615	72	14	we	we	PRON
ap-4615	72	15	see	see	VERB
ap-4615	72	16	that	that	SCONJ
ap-4615	72	17	eigenvalues	eigenvalue	VERB
ap-4615	72	18	and	and	CCONJ
ap-4615	72	19	eigenvectors	eigenvector	NOUN
ap-4615	72	20	of	of	ADP
ap-4615	72	21	h	h	NOUN
ap-4615	72	22	are	be	AUX
ap-4615	72	23	given	give	VERB
ap-4615	72	24	by	by	ADP
ap-4615	72	25	e	e	PROPN
ap-4615	72	26	(	(	PUNCT
ap-4615	72	27	±	±	NUM
ap-4615	72	28	)	)	PUNCT
ap-4615	72	29	~k	~k	PUNCT
ap-4615	73	1	=	=	PUNCT
ap-4615	73	2	±	±	NOUN
ap-4615	73	3	√	√	NUM
ap-4615	73	4	~k2	~k2	PROPN
ap-4615	73	5	+	+	SYM
ap-4615	73	6	m2	m2	PROPN
ap-4615	73	7	,	,	PUNCT
ap-4615	73	8	ψ(±	ψ(±	NUM
ap-4615	73	9	)	)	PUNCT
ap-4615	73	10	~k	~k	PUNCT
ap-4615	74	1	=	=	SYM
ap-4615	74	2	(	(	PUNCT
ap-4615	74	3	±	±	NUM
ap-4615	74	4	√	√	NUM
ap-4615	74	5	~k2	~k2	PROPN
ap-4615	74	6	+	+	CCONJ
ap-4615	74	7	m2	m2	PROPN
ap-4615	74	8	1	1	NUM
ap-4615	74	9	)	)	PUNCT
ap-4615	74	10	ψ	ψ	ADP
ap-4615	74	11	~	~	SYM
ap-4615	74	12	k	k	X
ap-4615	74	13	.	.	PUNCT
ap-4615	75	1	(	(	PUNCT
ap-4615	75	2	21	21	NUM
ap-4615	75	3	)	)	PUNCT
ap-4615	75	4	the	the	DET
ap-4615	75	5	eigenvectors	eigenvector	NOUN
ap-4615	75	6	φ(±	φ(±	PROPN
ap-4615	75	7	)	)	PUNCT
ap-4615	75	8	~k	~k	PROPN
ap-4615	75	9	of	of	ADP
ap-4615	75	10	adjoint	adjoint	NOUN
ap-4615	75	11	operator	operator	NOUN
ap-4615	75	12	h†	h†	PUNCT
ap-4615	75	13	are	be	AUX
ap-4615	75	14	φ(±	φ(±	PROPN
ap-4615	75	15	)	)	PUNCT
ap-4615	75	16	~k	~k	PUNCT
ap-4615	76	1	=	=	PUNCT
ap-4615	76	2	(	(	PUNCT
ap-4615	76	3	1	1	NUM
ap-4615	76	4	±	±	NUM
ap-4615	76	5	√	√	NUM
ap-4615	76	6	~k2	~k2	PROPN
ap-4615	76	7	+	+	PROPN
ap-4615	76	8	m2	m2	PROPN
ap-4615	76	9	)	)	PUNCT
ap-4615	76	10	ψ	ψ	PROPN
ap-4615	76	11	~	~	SYM
ap-4615	76	12	k	k	X
ap-4615	76	13	,	,	PUNCT
ap-4615	76	14	(	(	PUNCT
ap-4615	76	15	22	22	NUM
ap-4615	76	16	)	)	PUNCT
ap-4615	76	17	which	which	PRON
ap-4615	76	18	form	form	VERB
ap-4615	76	19	together	together	ADV
ap-4615	76	20	with	with	ADP
ap-4615	76	21	ψ(±	ψ(±	NUM
ap-4615	76	22	)	)	PUNCT
ap-4615	76	23	~k	~k	PUNCT
ap-4615	76	24	complete	complete	ADJ
ap-4615	76	25	biorthogonal	biorthogonal	ADJ
ap-4615	76	26	system	system	NOUN
ap-4615	76	27	〈	〈	PROPN
ap-4615	76	28	φ(ν	φ(ν	PROPN
ap-4615	76	29	)	)	PUNCT
ap-4615	76	30	~k′	~k′	PROPN
ap-4615	76	31	|ψ	|ψ	X
ap-4615	76	32	(	(	PUNCT
ap-4615	76	33	ν′	ν′	NOUN
ap-4615	76	34	)	)	PUNCT
ap-4615	76	35	~k	~k	PUNCT
ap-4615	76	36	〉	〉	NUM
ap-4615	76	37	=	=	SYM
ap-4615	76	38	δ(~k	δ(~k	PROPN
ap-4615	76	39	−	−	PROPN
ap-4615	76	40	~k′)δνν′2e(ν	~k′)δνν′2e(ν	NUM
ap-4615	76	41	)	)	PUNCT
ap-4615	76	42	~k	~k	PUNCT
ap-4615	76	43	,	,	PUNCT
ap-4615	76	44	(	(	PUNCT
ap-4615	76	45	23	23	NUM
ap-4615	76	46	)	)	PUNCT
ap-4615	76	47	where	where	SCONJ
ap-4615	76	48	ν	ν	NOUN
ap-4615	76	49	,	,	PUNCT
ap-4615	76	50	ν′	ν′	NOUN
ap-4615	76	51	=	=	SYM
ap-4615	76	52	±1	±1	VERB
ap-4615	76	53	.	.	PUNCT
ap-4615	77	1	3	3	X
ap-4615	77	2	.	.	X
ap-4615	77	3	crypto	crypto	ADJ
ap-4615	77	4	-	-	ADJ
ap-4615	77	5	hermitian	hermitian	ADJ
ap-4615	77	6	approach	approach	NOUN
ap-4615	77	7	apparent	apparent	ADJ
ap-4615	77	8	non	non	ADJ
ap-4615	77	9	-	-	NOUN
ap-4615	77	10	hermiticity	hermiticity	NOUN
ap-4615	77	11	of	of	ADP
ap-4615	77	12	hamiltonian	hamiltonian	NOUN
ap-4615	77	13	(	(	PUNCT
ap-4615	77	14	7	7	X
ap-4615	77	15	)	)	PUNCT
ap-4615	77	16	can	can	AUX
ap-4615	77	17	be	be	AUX
ap-4615	77	18	dealt	deal	VERB
ap-4615	77	19	with	with	ADP
ap-4615	77	20	by	by	ADP
ap-4615	77	21	means	mean	NOUN
ap-4615	77	22	of	of	ADP
ap-4615	77	23	the	the	DET
ap-4615	77	24	crypto	crypto	ADJ
ap-4615	77	25	-	-	ADJ
ap-4615	77	26	hermitian	hermitian	ADJ
ap-4615	77	27	theory	theory	NOUN
ap-4615	77	28	(	(	PUNCT
ap-4615	77	29	sometimes	sometimes	ADV
ap-4615	77	30	also	also	ADV
ap-4615	77	31	called	call	VERB
ap-4615	77	32	quasi	quasi	ADJ
ap-4615	77	33	-	-	ADJ
ap-4615	77	34	hermitian	hermitian	ADJ
ap-4615	77	35	[	[	X
ap-4615	77	36	24	24	NUM
ap-4615	77	37	]	]	PUNCT
ap-4615	77	38	or	or	CCONJ
ap-4615	77	39	pt	pt	INTJ
ap-4615	77	40	symmetric	symmetric	ADJ
ap-4615	77	41	[	[	X
ap-4615	77	42	25	25	NUM
ap-4615	77	43	]	]	PUNCT
ap-4615	77	44	)	)	PUNCT
ap-4615	77	45	.	.	PUNCT
ap-4615	78	1	463	463	NUM
ap-4615	78	2	iveta	iveta	PROPN
ap-4615	78	3	semorádová	semorádová	PROPN
ap-4615	78	4	acta	acta	PROPN
ap-4615	78	5	polytechnica	polytechnica	PROPN
ap-4615	78	6	hamiltonian	hamiltonian	NOUN
ap-4615	78	7	is	be	AUX
ap-4615	78	8	non	non	ADJ
ap-4615	78	9	-	-	ADJ
ap-4615	78	10	hermitian	hermitian	ADJ
ap-4615	78	11	h	h	PROPN
ap-4615	78	12	6=	6=	PROPN
ap-4615	78	13	h†	h†	PRON
ap-4615	78	14	only	only	ADV
ap-4615	78	15	in	in	ADP
ap-4615	78	16	the	the	DET
ap-4615	78	17	false	false	ADJ
ap-4615	78	18	hilbert	hilbert	NOUN
ap-4615	78	19	space	space	NOUN
ap-4615	78	20	h(f	h(f	PROPN
ap-4615	78	21	)	)	PUNCT
ap-4615	79	1	=	=	SYM
ap-4615	79	2	(	(	PUNCT
ap-4615	79	3	v	v	NOUN
ap-4615	79	4	,	,	PUNCT
ap-4615	79	5	〈	〈	PROPN
ap-4615	79	6	·	·	SYM
ap-4615	79	7	|	|	ADJ
ap-4615	79	8	·	·	SYM
ap-4615	79	9	〉	〉	PROPN
ap-4615	79	10	)	)	PUNCT
ap-4615	79	11	.	.	PUNCT
ap-4615	80	1	the	the	DET
ap-4615	80	2	underlying	underlie	VERB
ap-4615	80	3	vector	vector	NOUN
ap-4615	80	4	space	space	NOUN
ap-4615	80	5	of	of	ADP
ap-4615	80	6	states	state	NOUN
ap-4615	80	7	is	be	AUX
ap-4615	80	8	fixed	fix	VERB
ap-4615	80	9	,	,	PUNCT
ap-4615	80	10	given	give	VERB
ap-4615	80	11	by	by	ADP
ap-4615	80	12	the	the	DET
ap-4615	80	13	physical	physical	ADJ
ap-4615	80	14	system	system	NOUN
ap-4615	80	15	.	.	PUNCT
ap-4615	81	1	however	however	ADV
ap-4615	81	2	,	,	PUNCT
ap-4615	81	3	we	we	PRON
ap-4615	81	4	have	have	VERB
ap-4615	81	5	a	a	DET
ap-4615	81	6	freedom	freedom	NOUN
ap-4615	81	7	in	in	ADP
ap-4615	81	8	the	the	DET
ap-4615	81	9	choice	choice	NOUN
ap-4615	81	10	of	of	ADP
ap-4615	81	11	inner	inner	ADJ
ap-4615	81	12	product	product	NOUN
ap-4615	81	13	.	.	PUNCT
ap-4615	82	1	if	if	SCONJ
ap-4615	82	2	we	we	PRON
ap-4615	82	3	represent	represent	VERB
ap-4615	82	4	our	our	PRON
ap-4615	82	5	hamiltonian	hamiltonian	NOUN
ap-4615	82	6	in	in	ADP
ap-4615	82	7	different	different	ADJ
ap-4615	82	8	secondary	secondary	ADJ
ap-4615	82	9	hilbert	hilbert	NOUN
ap-4615	82	10	space	space	NOUN
ap-4615	82	11	h(s	h(s	PROPN
ap-4615	82	12	)	)	PUNCT
ap-4615	83	1	=	=	PRON
ap-4615	83	2	(	(	PUNCT
ap-4615	83	3	v	v	NOUN
ap-4615	83	4	,	,	PUNCT
ap-4615	83	5	〈	〈	PROPN
ap-4615	83	6	〈	〈	PROPN
ap-4615	83	7	·	·	SYM
ap-4615	83	8	|	|	NOUN
ap-4615	83	9	·	·	SYM
ap-4615	83	10	〉	〉	NOUN
ap-4615	83	11	)	)	PUNCT
ap-4615	83	12	,	,	PUNCT
ap-4615	83	13	with	with	ADP
ap-4615	83	14	newly	newly	ADV
ap-4615	83	15	defined	define	VERB
ap-4615	83	16	inner	inner	ADJ
ap-4615	83	17	product	product	NOUN
ap-4615	83	18	〈	〈	PROPN
ap-4615	83	19	〈	〈	PROPN
ap-4615	83	20	·	·	SYM
ap-4615	83	21	|	|	ADJ
ap-4615	83	22	·	·	SYM
ap-4615	83	23	〉	〉	NOUN
ap-4615	83	24	=	=	SYM
ap-4615	84	1	〈	〈	PROPN
ap-4615	84	2	ϕ|θ|ψ	ϕ|θ|ψ	PROPN
ap-4615	84	3	〉	〉	PROPN
ap-4615	84	4	,	,	PUNCT
ap-4615	84	5	(	(	PUNCT
ap-4615	84	6	24	24	NUM
ap-4615	84	7	)	)	PUNCT
ap-4615	84	8	it	it	PRON
ap-4615	84	9	may	may	AUX
ap-4615	84	10	become	become	VERB
ap-4615	84	11	hermitian	hermitian	ADJ
ap-4615	84	12	.	.	PUNCT
ap-4615	85	1	so	so	ADV
ap-4615	85	2	called	call	VERB
ap-4615	85	3	metric	metric	ADJ
ap-4615	85	4	operator	operator	NOUN
ap-4615	85	5	θ	θ	PROPN
ap-4615	85	6	must	must	AUX
ap-4615	85	7	be	be	AUX
ap-4615	85	8	positive	positive	ADJ
ap-4615	85	9	definite	definite	ADJ
ap-4615	85	10	,	,	PUNCT
ap-4615	85	11	everywhere	everywhere	ADV
ap-4615	85	12	-	-	PUNCT
ap-4615	85	13	defined	define	VERB
ap-4615	85	14	,	,	PUNCT
ap-4615	85	15	hermitian	hermitian	PROPN
ap-4615	85	16	and	and	CCONJ
ap-4615	85	17	bounded	bound	VERB
ap-4615	85	18	with	with	ADP
ap-4615	85	19	bounded	bounded	ADJ
ap-4615	85	20	inverse	inverse	NOUN
ap-4615	85	21	.	.	PUNCT
ap-4615	86	1	operators	operator	NOUN
ap-4615	86	2	for	for	ADP
ap-4615	86	3	which	which	PRON
ap-4615	86	4	such	such	ADJ
ap-4615	86	5	inner	inner	ADJ
ap-4615	86	6	product	product	NOUN
ap-4615	86	7	exist	exist	VERB
ap-4615	86	8	will	will	AUX
ap-4615	86	9	be	be	AUX
ap-4615	86	10	called	call	VERB
ap-4615	86	11	crypto	crypto	NOUN
ap-4615	86	12	-	-	ADJ
ap-4615	86	13	hermitian	hermitian	ADJ
ap-4615	86	14	(	(	PUNCT
ap-4615	86	15	c.f	c.f	PROPN
ap-4615	86	16	.	.	PUNCT
ap-4615	87	1	[	[	X
ap-4615	87	2	26	26	NUM
ap-4615	87	3	]	]	PUNCT
ap-4615	87	4	)	)	PUNCT
ap-4615	87	5	.	.	PUNCT
ap-4615	88	1	they	they	PRON
ap-4615	88	2	satisfy	satisfy	VERB
ap-4615	88	3	the	the	DET
ap-4615	88	4	so	so	ADV
ap-4615	88	5	called	call	VERB
ap-4615	88	6	dieudonée	dieudonée	ADJ
ap-4615	88	7	equation	equation	NOUN
ap-4615	88	8	h†θ	h†θ	PROPN
ap-4615	88	9	=	=	SYM
ap-4615	88	10	θh	θh	NOUN
ap-4615	88	11	(	(	PUNCT
ap-4615	88	12	25	25	NUM
ap-4615	88	13	)	)	PUNCT
ap-4615	88	14	and	and	CCONJ
ap-4615	88	15	they	they	PRON
ap-4615	88	16	are	be	AUX
ap-4615	88	17	similar	similar	ADJ
ap-4615	88	18	to	to	ADP
ap-4615	88	19	hermitian	hermitian	ADJ
ap-4615	88	20	operators	operator	NOUN
ap-4615	88	21	h	h	NOUN
ap-4615	89	1	=	=	SYM
ap-4615	89	2	ωhω−1	ωhω−1	PROPN
ap-4615	89	3	,	,	PUNCT
ap-4615	89	4	(	(	PUNCT
ap-4615	89	5	26	26	NUM
ap-4615	89	6	)	)	PUNCT
ap-4615	90	1	where	where	SCONJ
ap-4615	90	2	θ	θ	NOUN
ap-4615	91	1	=	=	SYM
ap-4615	91	2	ω†ω	ω†ω	NUM
ap-4615	91	3	is	be	AUX
ap-4615	91	4	invertible	invertible	ADJ
ap-4615	91	5	and	and	CCONJ
ap-4615	91	6	h	h	NOUN
ap-4615	91	7	=	=	NOUN
ap-4615	91	8	h†.	h†.	PROPN
ap-4615	91	9	in	in	ADP
ap-4615	91	10	such	such	ADJ
ap-4615	91	11	scenario	scenario	NOUN
ap-4615	91	12	,	,	PUNCT
ap-4615	91	13	the	the	DET
ap-4615	91	14	problem	problem	NOUN
ap-4615	91	15	of	of	ADP
ap-4615	91	16	negative	negative	ADJ
ap-4615	91	17	probability	probability	NOUN
ap-4615	91	18	interpretation	interpretation	NOUN
ap-4615	91	19	of	of	ADP
ap-4615	91	20	the	the	DET
ap-4615	91	21	klein	klein	PROPN
ap-4615	91	22	-	-	PUNCT
ap-4615	91	23	gordon	gordon	PROPN
ap-4615	91	24	equation	equation	NOUN
ap-4615	91	25	can	can	AUX
ap-4615	91	26	be	be	AUX
ap-4615	91	27	reinterpreted	reinterpret	VERB
ap-4615	91	28	as	as	ADP
ap-4615	91	29	the	the	DET
ap-4615	91	30	problem	problem	NOUN
ap-4615	91	31	of	of	ADP
ap-4615	91	32	the	the	DET
ap-4615	91	33	wrong	wrong	ADJ
ap-4615	91	34	choice	choice	NOUN
ap-4615	91	35	of	of	ADP
ap-4615	91	36	metric	metric	ADJ
ap-4615	91	37	operator	operator	NOUN
ap-4615	91	38	θ	θ	PROPN
ap-4615	91	39	.	.	PUNCT
ap-4615	92	1	if	if	SCONJ
ap-4615	92	2	we	we	PRON
ap-4615	92	3	would	would	AUX
ap-4615	92	4	be	be	AUX
ap-4615	92	5	able	able	ADJ
ap-4615	92	6	to	to	PART
ap-4615	92	7	find	find	VERB
ap-4615	92	8	more	more	ADV
ap-4615	92	9	appropriate	appropriate	ADJ
ap-4615	92	10	choice	choice	NOUN
ap-4615	92	11	of	of	ADP
ap-4615	92	12	representation	representation	NOUN
ap-4615	92	13	space	space	NOUN
ap-4615	92	14	h(s	h(s	PROPN
ap-4615	92	15	)	)	PUNCT
ap-4615	92	16	,	,	PUNCT
ap-4615	92	17	this	this	DET
ap-4615	92	18	problem	problem	NOUN
ap-4615	92	19	would	would	AUX
ap-4615	92	20	disappear	disappear	VERB
ap-4615	92	21	.	.	PUNCT
ap-4615	93	1	3.1	3.1	NUM
ap-4615	93	2	.	.	PUNCT
ap-4615	93	3	computation	computation	NOUN
ap-4615	93	4	of	of	ADP
ap-4615	93	5	the	the	DET
ap-4615	93	6	metric	metric	ADJ
ap-4615	93	7	one	one	NUM
ap-4615	93	8	of	of	ADP
ap-4615	93	9	the	the	DET
ap-4615	93	10	possible	possible	ADJ
ap-4615	93	11	ways	way	NOUN
ap-4615	93	12	how	how	SCONJ
ap-4615	93	13	to	to	PART
ap-4615	93	14	construct	construct	VERB
ap-4615	93	15	metric	metric	ADJ
ap-4615	93	16	operator	operator	NOUN
ap-4615	93	17	θ	θ	PROPN
ap-4615	93	18	for	for	ADP
ap-4615	93	19	given	give	VERB
ap-4615	93	20	crypto	crypto	ADJ
ap-4615	93	21	-	-	ADJ
ap-4615	93	22	hermitian	hermitian	ADJ
ap-4615	93	23	hamiltonian	hamiltonian	ADJ
ap-4615	93	24	h	h	NOUN
ap-4615	93	25	is	be	AUX
ap-4615	93	26	by	by	ADP
ap-4615	93	27	summing	sum	VERB
ap-4615	93	28	the	the	DET
ap-4615	93	29	spectral	spectral	ADJ
ap-4615	93	30	resolution	resolution	NOUN
ap-4615	93	31	series	series	NOUN
ap-4615	93	32	.	.	PUNCT
ap-4615	94	1	it	it	PRON
ap-4615	94	2	requires	require	VERB
ap-4615	94	3	the	the	DET
ap-4615	94	4	solution	solution	NOUN
ap-4615	94	5	of	of	ADP
ap-4615	94	6	eigenvalue	eigenvalue	PROPN
ap-4615	94	7	problem	problem	NOUN
ap-4615	94	8	for	for	ADP
ap-4615	94	9	h†.	h†.	PROPN
ap-4615	94	10	in	in	ADP
ap-4615	94	11	what	what	PRON
ap-4615	94	12	follows	follow	VERB
ap-4615	94	13	,	,	PUNCT
ap-4615	94	14	we	we	PRON
ap-4615	94	15	try	try	VERB
ap-4615	94	16	to	to	PART
ap-4615	94	17	construct	construct	VERB
ap-4615	94	18	the	the	DET
ap-4615	94	19	metric	metric	ADJ
ap-4615	94	20	operator	operator	NOUN
ap-4615	94	21	for	for	ADP
ap-4615	94	22	free	free	PROPN
ap-4615	94	23	klein	klein	PROPN
ap-4615	94	24	-	-	PUNCT
ap-4615	94	25	gordon	gordon	PROPN
ap-4615	94	26	equation	equation	NOUN
ap-4615	95	1	θ	θ	PROPN
ap-4615	95	2	=	=	SYM
ap-4615	95	3	∫	∫	PROPN
ap-4615	95	4	d3k	d3k	NOUN
ap-4615	95	5	(	(	PUNCT
ap-4615	95	6	α(+)|φ(+	α(+)|φ(+	NOUN
ap-4615	95	7	)	)	PUNCT
ap-4615	95	8	~k	~k	PUNCT
ap-4615	95	9	〉	〉	NUM
ap-4615	95	10	〈	〈	PROPN
ap-4615	95	11	φ(+	φ(+	NOUN
ap-4615	95	12	)	)	PUNCT
ap-4615	95	13	~k	~k	PUNCT
ap-4615	95	14	|+	|+	NOUN
ap-4615	95	15	α(−)|φ(−	α(−)|φ(−	NOUN
ap-4615	95	16	)	)	PUNCT
ap-4615	95	17	~k	~k	PUNCT
ap-4615	95	18	〉	〉	NUM
ap-4615	95	19	〈	〈	NOUN
ap-4615	95	20	φ(−	φ(−	NUM
ap-4615	95	21	)	)	PUNCT
ap-4615	95	22	~k	~k	PUNCT
ap-4615	95	23	|	|	ADV
ap-4615	95	24	)	)	PUNCT
ap-4615	95	25	,	,	PUNCT
ap-4615	95	26	(	(	PUNCT
ap-4615	95	27	27	27	NUM
ap-4615	95	28	)	)	PUNCT
ap-4615	95	29	where	where	SCONJ
ap-4615	95	30	we	we	PRON
ap-4615	95	31	insert	insert	VERB
ap-4615	95	32	eigenvectors	eigenvector	NOUN
ap-4615	95	33	φ(±	φ(±	PROPN
ap-4615	95	34	)	)	PUNCT
ap-4615	95	35	~k	~k	PROPN
ap-4615	95	36	as	as	SCONJ
ap-4615	95	37	computed	compute	VERB
ap-4615	95	38	in	in	ADP
ap-4615	95	39	(	(	PUNCT
ap-4615	95	40	22	22	NUM
ap-4615	95	41	)	)	PUNCT
ap-4615	95	42	θ	θ	PROPN
ap-4615	95	43	=	=	SYM
ap-4615	95	44	∫	∫	PROPN
ap-4615	96	1	d3k	d3k	NOUN
ap-4615	96	2	(	(	PUNCT
ap-4615	96	3	α	α	NOUN
ap-4615	96	4	β	β	NOUN
ap-4615	96	5	√	√	PROPN
ap-4615	96	6	k2	k2	PROPN
ap-4615	96	7	+	+	PROPN
ap-4615	96	8	m2	m2	PROPN
ap-4615	96	9	β	β	PROPN
ap-4615	96	10	√	√	PROPN
ap-4615	96	11	k2	k2	PROPN
ap-4615	96	12	+	+	PROPN
ap-4615	96	13	m2	m2	PROPN
ap-4615	96	14	α(k2	α(k2	PROPN
ap-4615	96	15	+	+	PROPN
ap-4615	96	16	m2	m2	PROPN
ap-4615	96	17	)	)	PUNCT
ap-4615	96	18	)	)	PUNCT
ap-4615	96	19	|~k〉〈	|~k〉〈	X
ap-4615	97	1	~	~	SYM
ap-4615	97	2	k|	k|	PROPN
ap-4615	97	3	,	,	PUNCT
ap-4615	97	4	(	(	PUNCT
ap-4615	97	5	28	28	NUM
ap-4615	97	6	)	)	PUNCT
ap-4615	97	7	where	where	SCONJ
ap-4615	97	8	α	α	NOUN
ap-4615	97	9	=	=	SYM
ap-4615	97	10	α(+	α(+	X
ap-4615	97	11	)	)	PUNCT
ap-4615	97	12	+	+	NUM
ap-4615	97	13	α(−	α(−	NOUN
ap-4615	97	14	)	)	PUNCT
ap-4615	97	15	,	,	PUNCT
ap-4615	97	16	β	β	X
ap-4615	97	17	=	=	SYM
ap-4615	97	18	α(+	α(+	X
ap-4615	97	19	)	)	PUNCT
ap-4615	97	20	−	−	PROPN
ap-4615	97	21	α(−	α(−	NOUN
ap-4615	97	22	)	)	PUNCT
ap-4615	97	23	.	.	PUNCT
ap-4615	98	1	by	by	ADP
ap-4615	98	2	means	mean	NOUN
ap-4615	98	3	of	of	ADP
ap-4615	98	4	equation	equation	NOUN
ap-4615	98	5	(	(	PUNCT
ap-4615	98	6	20	20	NUM
ap-4615	98	7	)	)	PUNCT
ap-4615	98	8	we	we	PRON
ap-4615	98	9	obtain	obtain	VERB
ap-4615	98	10	family	family	NOUN
ap-4615	98	11	of	of	ADP
ap-4615	98	12	metric	metric	ADJ
ap-4615	98	13	operators	operator	NOUN
ap-4615	98	14	θ	θ	X
ap-4615	99	1	=	=	PUNCT
ap-4615	99	2	(	(	PUNCT
ap-4615	99	3	α	α	X
ap-4615	99	4	βk1/2	βk1/2	X
ap-4615	99	5	βk1/2	βk1/2	PROPN
ap-4615	99	6	αk	αk	NOUN
ap-4615	99	7	)	)	PUNCT
ap-4615	99	8	,	,	PUNCT
ap-4615	99	9	(	(	PUNCT
ap-4615	99	10	29	29	NUM
ap-4615	99	11	)	)	PUNCT
ap-4615	99	12	where	where	SCONJ
ap-4615	99	13	k1/2	k1/2	NOUN
ap-4615	99	14	=	=	SYM
ap-4615	99	15	∫	∫	PROPN
ap-4615	100	1	d3k	d3k	NOUN
ap-4615	100	2	√	√	PROPN
ap-4615	100	3	k2	k2	PROPN
ap-4615	100	4	+	+	PROPN
ap-4615	100	5	m2|~k〉〈	m2|~k〉〈	PROPN
ap-4615	100	6	~	~	PROPN
ap-4615	100	7	k|	k|	PROPN
ap-4615	100	8	.	.	PUNCT
ap-4615	101	1	(	(	PUNCT
ap-4615	101	2	30	30	NUM
ap-4615	101	3	)	)	PUNCT
ap-4615	101	4	with	with	ADP
ap-4615	101	5	the	the	DET
ap-4615	101	6	knowledge	knowledge	NOUN
ap-4615	101	7	of	of	ADP
ap-4615	101	8	the	the	DET
ap-4615	101	9	metric	metric	ADJ
ap-4615	101	10	operator	operator	NOUN
ap-4615	101	11	(	(	PUNCT
ap-4615	101	12	29	29	NUM
ap-4615	101	13	)	)	PUNCT
ap-4615	101	14	,	,	PUNCT
ap-4615	101	15	we	we	PRON
ap-4615	101	16	can	can	AUX
ap-4615	101	17	construct	construct	VERB
ap-4615	101	18	positive	positive	ADJ
ap-4615	101	19	definite	definite	ADJ
ap-4615	101	20	inner	inner	ADJ
ap-4615	101	21	product	product	NOUN
ap-4615	101	22	defining	define	VERB
ap-4615	101	23	hilbert	hilbert	NOUN
ap-4615	101	24	space	space	NOUN
ap-4615	101	25	h(s	h(s	PROPN
ap-4615	101	26	)	)	PUNCT
ap-4615	102	1	〈	〈	PROPN
ap-4615	102	2	〈	〈	PROPN
ap-4615	102	3	ψ|φ	ψ|φ	NOUN
ap-4615	102	4	〉	〉	PROPN
ap-4615	102	5	=	=	SYM
ap-4615	102	6	α(〈ψ|k|ϕ〉+	α(〈ψ|k|ϕ〉+	NOUN
ap-4615	102	7	〈	〈	PROPN
ap-4615	102	8	ψ̇|ϕ̇	ψ̇|ϕ̇	NOUN
ap-4615	102	9	〉	〉	NUM
ap-4615	102	10	)	)	PUNCT
ap-4615	102	11	+	+	NUM
ap-4615	102	12	iβ(〈ψ|k1/2|ϕ̇	iβ(〈ψ|k1/2|ϕ̇	VERB
ap-4615	102	13	〉	〉	NOUN
ap-4615	102	14	−	−	NOUN
ap-4615	102	15	〈	〈	PROPN
ap-4615	102	16	ψ̇|k1/2|ϕ	ψ̇|k1/2|ϕ	PROPN
ap-4615	102	17	〉	〉	PROPN
ap-4615	102	18	)	)	PUNCT
ap-4615	102	19	,	,	PUNCT
ap-4615	102	20	(	(	PUNCT
ap-4615	102	21	31	31	NUM
ap-4615	102	22	)	)	PUNCT
ap-4615	102	23	where	where	SCONJ
ap-4615	102	24	ϕ̇	ϕ̇	ADV
ap-4615	102	25	,	,	PUNCT
ap-4615	102	26	ψ̇	ψ̇	PROPN
ap-4615	102	27	denote	denote	VERB
ap-4615	102	28	corresponding	corresponding	ADJ
ap-4615	102	29	time	time	NOUN
ap-4615	102	30	derivatives	derivative	NOUN
ap-4615	102	31	(	(	PUNCT
ap-4615	102	32	in	in	ADP
ap-4615	102	33	fact	fact	NOUN
ap-4615	102	34	,	,	PUNCT
ap-4615	102	35	this	this	DET
ap-4615	102	36	equation	equation	NOUN
ap-4615	102	37	is	be	AUX
ap-4615	102	38	just	just	ADV
ap-4615	102	39	an	an	DET
ap-4615	102	40	explicit	explicit	ADJ
ap-4615	102	41	version	version	NOUN
ap-4615	102	42	of	of	ADP
ap-4615	102	43	equation	equation	NOUN
ap-4615	102	44	(	(	PUNCT
ap-4615	102	45	24	24	NUM
ap-4615	102	46	)	)	PUNCT
ap-4615	102	47	)	)	PUNCT
ap-4615	102	48	.	.	PUNCT
ap-4615	103	1	3.2	3.2	NUM
ap-4615	103	2	.	.	PUNCT
ap-4615	104	1	the	the	DET
ap-4615	104	2	discrete	discrete	ADJ
ap-4615	104	3	case	case	NOUN
ap-4615	104	4	unfortunately	unfortunately	ADV
ap-4615	104	5	,	,	PUNCT
ap-4615	104	6	the	the	DET
ap-4615	104	7	metric	metric	ADJ
ap-4615	104	8	operator	operator	NOUN
ap-4615	104	9	(	(	PUNCT
ap-4615	104	10	29	29	NUM
ap-4615	104	11	)	)	PUNCT
ap-4615	104	12	is	be	AUX
ap-4615	104	13	unbounded	unbounded	ADJ
ap-4615	104	14	and	and	CCONJ
ap-4615	104	15	therefore	therefore	ADV
ap-4615	104	16	does	do	AUX
ap-4615	104	17	n’t	not	PART
ap-4615	104	18	satisfy	satisfy	VERB
ap-4615	104	19	all	all	DET
ap-4615	104	20	the	the	DET
ap-4615	104	21	requested	request	VERB
ap-4615	104	22	properties	property	NOUN
ap-4615	104	23	we	we	PRON
ap-4615	104	24	put	put	VERB
ap-4615	104	25	upon	upon	SCONJ
ap-4615	104	26	metric	metric	ADJ
ap-4615	104	27	operator	operator	NOUN
ap-4615	104	28	.	.	PUNCT
ap-4615	105	1	as	as	SCONJ
ap-4615	105	2	was	be	AUX
ap-4615	105	3	emphasized	emphasize	VERB
ap-4615	105	4	in	in	ADP
ap-4615	105	5	[	[	X
ap-4615	105	6	27	27	NUM
ap-4615	105	7	]	]	PUNCT
ap-4615	105	8	,	,	PUNCT
ap-4615	105	9	boundedness	boundedness	NOUN
ap-4615	105	10	of	of	ADP
ap-4615	105	11	metric	metric	ADJ
ap-4615	105	12	operator	operator	NOUN
ap-4615	105	13	θ	θ	NOUN
ap-4615	105	14	is	be	AUX
ap-4615	105	15	very	very	ADV
ap-4615	105	16	important	important	ADJ
ap-4615	105	17	property	property	NOUN
ap-4615	105	18	,	,	PUNCT
ap-4615	105	19	it	it	PRON
ap-4615	105	20	guarantees	guarantee	VERB
ap-4615	105	21	that	that	SCONJ
ap-4615	105	22	convergence	convergence	NOUN
ap-4615	105	23	of	of	ADP
ap-4615	105	24	cauchy	cauchy	ADJ
ap-4615	105	25	sequences	sequence	NOUN
ap-4615	105	26	is	be	AUX
ap-4615	105	27	not	not	PART
ap-4615	105	28	affected	affect	VERB
ap-4615	105	29	by	by	ADP
ap-4615	105	30	introduction	introduction	NOUN
ap-4615	105	31	of	of	ADP
ap-4615	105	32	new	new	ADJ
ap-4615	105	33	inner	inner	ADJ
ap-4615	105	34	product	product	NOUN
ap-4615	105	35	(	(	PUNCT
ap-4615	105	36	24	24	NUM
ap-4615	105	37	)	)	PUNCT
ap-4615	105	38	.	.	PUNCT
ap-4615	106	1	the	the	DET
ap-4615	106	2	possibility	possibility	NOUN
ap-4615	106	3	of	of	ADP
ap-4615	106	4	the	the	DET
ap-4615	106	5	use	use	NOUN
ap-4615	106	6	of	of	ADP
ap-4615	106	7	unbounded	unbounded	ADJ
ap-4615	106	8	metrics	metric	NOUN
ap-4615	106	9	is	be	AUX
ap-4615	106	10	treated	treat	VERB
ap-4615	106	11	e.g.	e.g.	ADV
ap-4615	106	12	in	in	ADP
ap-4615	106	13	the	the	DET
ap-4615	106	14	last	last	ADJ
ap-4615	106	15	chapter	chapter	NOUN
ap-4615	106	16	of	of	ADP
ap-4615	106	17	[	[	X
ap-4615	106	18	28	28	NUM
ap-4615	106	19	]	]	PUNCT
ap-4615	106	20	.	.	PUNCT
ap-4615	107	1	to	to	PART
ap-4615	107	2	overcome	overcome	VERB
ap-4615	107	3	the	the	DET
ap-4615	107	4	problems	problem	NOUN
ap-4615	107	5	with	with	ADP
ap-4615	107	6	unboundedness	unboundedness	NOUN
ap-4615	107	7	of	of	ADP
ap-4615	107	8	the	the	DET
ap-4615	107	9	metric	metric	ADJ
ap-4615	107	10	operator	operator	NOUN
ap-4615	107	11	(	(	PUNCT
ap-4615	107	12	29	29	NUM
ap-4615	107	13	)	)	PUNCT
ap-4615	107	14	,	,	PUNCT
ap-4615	107	15	we	we	PRON
ap-4615	107	16	choose	choose	VERB
ap-4615	107	17	to	to	PART
ap-4615	107	18	shift	shift	VERB
ap-4615	107	19	our	our	PRON
ap-4615	107	20	attention	attention	NOUN
ap-4615	107	21	to	to	ADP
ap-4615	107	22	a	a	DET
ap-4615	107	23	discrete	discrete	ADJ
ap-4615	107	24	model	model	NOUN
ap-4615	107	25	.	.	PUNCT
ap-4615	108	1	in	in	ADP
ap-4615	108	2	the	the	DET
ap-4615	108	3	discrete	discrete	ADJ
ap-4615	108	4	approximation	approximation	NOUN
ap-4615	108	5	the	the	DET
ap-4615	108	6	metric	metric	ADJ
ap-4615	108	7	operator	operator	NOUN
ap-4615	108	8	stays	stay	NOUN
ap-4615	108	9	bounded	bound	VERB
ap-4615	108	10	.	.	PUNCT
ap-4615	109	1	we	we	PRON
ap-4615	109	2	make	make	VERB
ap-4615	109	3	use	use	NOUN
ap-4615	109	4	of	of	ADP
ap-4615	109	5	equidistant	equidistant	ADJ
ap-4615	109	6	,	,	PUNCT
ap-4615	109	7	runge	runge	NOUN
ap-4615	109	8	-	-	PUNCT
ap-4615	109	9	kutta	kutta	NOUN
ap-4615	109	10	grid	grid	NOUN
ap-4615	109	11	-	-	PUNCT
ap-4615	109	12	point	point	NOUN
ap-4615	109	13	coordinates	coordinate	NOUN
ap-4615	109	14	xk	xk	PUNCT
ap-4615	110	1	=	=	PROPN
ap-4615	110	2	kh	kh	PROPN
ap-4615	110	3	,	,	PUNCT
ap-4615	110	4	k	k	PROPN
ap-4615	110	5	=	=	PUNCT
ap-4615	110	6	0,±1,±2	0,±1,±2	PROPN
ap-4615	110	7	.	.	PUNCT
ap-4615	110	8	.	.	PUNCT
ap-4615	110	9	.	.	PUNCT
ap-4615	111	1	,	,	PUNCT
ap-4615	111	2	(	(	PUNCT
ap-4615	111	3	32	32	NUM
ap-4615	111	4	)	)	PUNCT
ap-4615	111	5	laplacian	laplacian	NOUN
ap-4615	111	6	can	can	AUX
ap-4615	111	7	be	be	AUX
ap-4615	111	8	expressed	express	VERB
ap-4615	111	9	as	as	ADP
ap-4615	111	10	−	−	PROPN
ap-4615	111	11	ψ(xk+1)−	ψ(xk+1)−	NOUN
ap-4615	111	12	2ψ(xk	2ψ(xk	NUM
ap-4615	111	13	)	)	PUNCT
ap-4615	111	14	+	+	NUM
ap-4615	111	15	ψ(xk−1	ψ(xk−1	NOUN
ap-4615	111	16	)	)	PUNCT
ap-4615	111	17	h2	h2	NOUN
ap-4615	111	18	,	,	PUNCT
ap-4615	111	19	(	(	PUNCT
ap-4615	111	20	33	33	NUM
ap-4615	111	21	)	)	PUNCT
ap-4615	111	22	the	the	DET
ap-4615	111	23	explicit	explicit	ADJ
ap-4615	111	24	occurrence	occurrence	NOUN
ap-4615	111	25	of	of	ADP
ap-4615	111	26	the	the	DET
ap-4615	111	27	parameter	parameter	NOUN
ap-4615	111	28	h	h	PROPN
ap-4615	111	29	will	will	AUX
ap-4615	111	30	be	be	AUX
ap-4615	111	31	important	important	ADJ
ap-4615	111	32	for	for	ADP
ap-4615	111	33	the	the	DET
ap-4615	111	34	study	study	NOUN
ap-4615	111	35	of	of	ADP
ap-4615	111	36	the	the	DET
ap-4615	111	37	continuum	continuum	ADJ
ap-4615	111	38	limit	limit	NOUN
ap-4615	111	39	in	in	ADP
ap-4615	111	40	which	which	PRON
ap-4615	111	41	the	the	DET
ap-4615	111	42	value	value	NOUN
ap-4615	111	43	of	of	ADP
ap-4615	111	44	h	h	NOUN
ap-4615	111	45	would	would	AUX
ap-4615	111	46	decrease	decrease	VERB
ap-4615	111	47	to	to	ADP
ap-4615	111	48	zero	zero	NUM
ap-4615	111	49	.	.	PUNCT
ap-4615	112	1	otherwise	otherwise	ADV
ap-4615	112	2	we	we	PRON
ap-4615	112	3	may	may	AUX
ap-4615	112	4	set	set	VERB
ap-4615	112	5	h	h	NOUN
ap-4615	112	6	=	=	NOUN
ap-4615	112	7	1	1	NUM
ap-4615	112	8	in	in	ADP
ap-4615	112	9	suitable	suitable	ADJ
ap-4615	112	10	units	unit	NOUN
ap-4615	112	11	.	.	PUNCT
ap-4615	113	1	following	follow	VERB
ap-4615	113	2	further	further	ADJ
ap-4615	113	3	ideas	idea	NOUN
ap-4615	113	4	from	from	ADP
ap-4615	113	5	[	[	X
ap-4615	113	6	29	29	NUM
ap-4615	113	7	]	]	PUNCT
ap-4615	113	8	,	,	PUNCT
ap-4615	113	9	laplace	laplace	NOUN
ap-4615	113	10	operator	operator	NOUN
ap-4615	113	11	∆	∆	PROPN
ap-4615	113	12	can	can	AUX
ap-4615	113	13	be	be	AUX
ap-4615	113	14	discretized	discretize	VERB
ap-4615	113	15	into	into	ADP
ap-4615	113	16	matrix	matrix	NOUN
ap-4615	113	17	form	form	NOUN
ap-4615	113	18	∆(n	∆(n	NOUN
ap-4615	113	19	)	)	PUNCT
ap-4615	113	20	=	=	PUNCT
ap-4615	113	21			VERB
ap-4615	113	22	2	2	NUM
ap-4615	113	23	−1	−1	NOUN
ap-4615	113	24	−1	−1	NOUN
ap-4615	113	25	2	2	NUM
ap-4615	113	26	−1	−1	NOUN
ap-4615	113	27	−1	−1	NOUN
ap-4615	113	28	2	2	NUM
ap-4615	113	29	.	.	PUNCT
ap-4615	113	30	.	.	PUNCT
ap-4615	113	31	.	.	PUNCT
ap-4615	113	32	.	.	PUNCT
ap-4615	113	33	.	.	PUNCT
ap-4615	113	34	.	.	PUNCT
ap-4615	113	35	.	.	PUNCT
ap-4615	113	36	.	.	PUNCT
ap-4615	114	1	.	.	PUNCT
ap-4615	115	1	−1	−1	NOUN
ap-4615	115	2	−1	−1	NOUN
ap-4615	115	3	2	2	NUM
ap-4615	115	4			ADP
ap-4615	115	5	(	(	PUNCT
ap-4615	115	6	34	34	NUM
ap-4615	115	7	)	)	PUNCT
ap-4615	115	8	matrix	matrix	NOUN
ap-4615	115	9	(	(	PUNCT
ap-4615	115	10	34	34	NUM
ap-4615	115	11	)	)	PUNCT
ap-4615	115	12	is	be	AUX
ap-4615	115	13	hermitian	hermitian	ADJ
ap-4615	115	14	and	and	CCONJ
ap-4615	115	15	therefore	therefore	ADV
ap-4615	115	16	diagonalizable	diagonalizable	ADJ
ap-4615	115	17	,	,	PUNCT
ap-4615	115	18	i.e.	i.e.	X
ap-4615	115	19	similar	similar	ADJ
ap-4615	115	20	to	to	ADP
ap-4615	115	21	diagonal	diagonal	ADJ
ap-4615	115	22	matrix	matrix	NOUN
ap-4615	115	23	.	.	PUNCT
ap-4615	116	1	hence	hence	ADV
ap-4615	116	2	for	for	ADP
ap-4615	116	3	our	our	PRON
ap-4615	116	4	purposes	purpose	NOUN
ap-4615	116	5	it	it	PRON
ap-4615	116	6	is	be	AUX
ap-4615	116	7	enough	enough	ADJ
ap-4615	116	8	to	to	PART
ap-4615	116	9	compute	compute	VERB
ap-4615	116	10	with	with	ADP
ap-4615	116	11	n×n	n×n	PROPN
ap-4615	116	12	real	real	ADJ
ap-4615	116	13	diagonal	diagonal	ADJ
ap-4615	116	14	matrix	matrix	NOUN
ap-4615	116	15	k	k	NOUN
ap-4615	117	1	=	=	PUNCT
ap-4615	117	2			NOUN
ap-4615	117	3	a1	a1	NOUN
ap-4615	117	4	0	0	NUM
ap-4615	117	5	·	·	PUNCT
ap-4615	117	6	·	·	PUNCT
ap-4615	117	7	·	·	PUNCT
ap-4615	117	8	0	0	NUM
ap-4615	117	9	0	0	NUM
ap-4615	117	10	a2	a2	PROPN
ap-4615	117	11	·	·	PUNCT
ap-4615	117	12	·	·	PUNCT
ap-4615	117	13	·	·	PUNCT
ap-4615	117	14	0	0	NUM
ap-4615	117	15	...	...	PUNCT
ap-4615	117	16	...	...	PUNCT
ap-4615	117	17	.	.	PUNCT
ap-4615	117	18	.	.	PUNCT
ap-4615	117	19	.	.	PUNCT
ap-4615	118	1	...	...	PUNCT
ap-4615	119	1	0	0	NUM
ap-4615	119	2	0	0	NUM
ap-4615	119	3	·	·	PUNCT
ap-4615	119	4	·	·	PUNCT
ap-4615	119	5	·	·	PUNCT
ap-4615	120	1	an	an	DET
ap-4615	120	2			NOUN
ap-4615	120	3	.	.	PUNCT
ap-4615	121	1	(	(	PUNCT
ap-4615	121	2	35	35	NUM
ap-4615	121	3	)	)	PUNCT
ap-4615	121	4	let	let	VERB
ap-4615	121	5	a	a	DET
ap-4615	121	6	,	,	PUNCT
ap-4615	121	7	b	b	NOUN
ap-4615	121	8	,	,	PUNCT
ap-4615	121	9	c	c	AUX
ap-4615	121	10	be	be	AUX
ap-4615	121	11	real	real	ADJ
ap-4615	121	12	matrices	matrix	NOUN
ap-4615	121	13	n×n	n×n	PROPN
ap-4615	121	14	,	,	PUNCT
ap-4615	121	15	where	where	SCONJ
ap-4615	121	16	a	a	DET
ap-4615	121	17	=	=	NOUN
ap-4615	121	18	at	at	ADP
ap-4615	121	19	,	,	PUNCT
ap-4615	121	20	b	b	PROPN
ap-4615	121	21	=	=	SYM
ap-4615	121	22	bt	bt	PROPN
ap-4615	121	23	.	.	PUNCT
ap-4615	122	1	than	than	SCONJ
ap-4615	122	2	we	we	PRON
ap-4615	122	3	can	can	AUX
ap-4615	122	4	write	write	VERB
ap-4615	122	5	the	the	DET
ap-4615	122	6	dieudonné	dieudonné	NOUN
ap-4615	122	7	equation	equation	NOUN
ap-4615	122	8	(	(	PUNCT
ap-4615	122	9	25	25	NUM
ap-4615	122	10	)	)	PUNCT
ap-4615	122	11	by	by	ADP
ap-4615	122	12	means	mean	NOUN
ap-4615	122	13	of	of	ADP
ap-4615	122	14	block	block	NOUN
ap-4615	122	15	matrices	matrix	NOUN
ap-4615	122	16	(	(	PUNCT
ap-4615	122	17	0	0	NUM
ap-4615	123	1	i	i	NOUN
ap-4615	123	2	k	k	PROPN
ap-4615	123	3	0	0	PUNCT
ap-4615	123	4	)	)	PUNCT
ap-4615	123	5	(	(	PUNCT
ap-4615	123	6	a	a	DET
ap-4615	123	7	ct	ct	NOUN
ap-4615	123	8	c	c	PROPN
ap-4615	123	9	b	b	PROPN
ap-4615	123	10	)	)	PUNCT
ap-4615	123	11	=	=	SYM
ap-4615	124	1	(	(	PUNCT
ap-4615	124	2	a	a	DET
ap-4615	124	3	ct	ct	NOUN
ap-4615	124	4	c	c	PROPN
ap-4615	124	5	b	b	PROPN
ap-4615	124	6	)	)	PUNCT
ap-4615	124	7	(	(	PUNCT
ap-4615	124	8	0	0	NUM
ap-4615	124	9	k	k	X
ap-4615	125	1	i	i	NOUN
ap-4615	125	2	0	0	NUM
ap-4615	125	3	)	)	PUNCT
ap-4615	125	4	.	.	PUNCT
ap-4615	126	1	(	(	PUNCT
ap-4615	126	2	36	36	NUM
ap-4615	126	3	)	)	PUNCT
ap-4615	126	4	we	we	PRON
ap-4615	126	5	obtain	obtain	VERB
ap-4615	126	6	following	follow	VERB
ap-4615	126	7	conditions	condition	NOUN
ap-4615	126	8	c	c	NOUN
ap-4615	127	1	=	=	SYM
ap-4615	127	2	ct	ct	INTJ
ap-4615	127	3	,	,	PUNCT
ap-4615	127	4	kc	kc	PROPN
ap-4615	127	5	=	=	PUNCT
ap-4615	127	6	ctk	ctk	PROPN
ap-4615	127	7	,	,	PUNCT
ap-4615	127	8	b	b	PROPN
ap-4615	127	9	=	=	X
ap-4615	127	10	ka	ka	PROPN
ap-4615	127	11	=	=	PROPN
ap-4615	127	12	ak	ak	PROPN
ap-4615	127	13	.	.	PROPN
ap-4615	128	1	(	(	PUNCT
ap-4615	128	2	37	37	NUM
ap-4615	128	3	)	)	PUNCT
ap-4615	128	4	464	464	NUM
ap-4615	128	5	vol	vol	NOUN
ap-4615	128	6	.	.	PUNCT
ap-4615	129	1	57	57	NUM
ap-4615	129	2	no	no	NOUN
ap-4615	129	3	.	.	PUNCT
ap-4615	130	1	6/2017	6/2017	NUM
ap-4615	130	2	crypto	crypto	VERB
ap-4615	130	3	-	-	ADJ
ap-4615	130	4	hermitian	hermitian	ADJ
ap-4615	130	5	approach	approach	NOUN
ap-4615	130	6	to	to	ADP
ap-4615	130	7	the	the	DET
ap-4615	130	8	klein	klein	PROPN
ap-4615	130	9	–	–	PUNCT
ap-4615	130	10	gordon	gordon	PROPN
ap-4615	130	11	equation	equation	NOUN
ap-4615	130	12	real	real	ADJ
ap-4615	130	13	symmetric	symmetric	ADJ
ap-4615	130	14	matrix	matrix	NOUN
ap-4615	130	15	which	which	PRON
ap-4615	130	16	commutes	commute	VERB
ap-4615	130	17	with	with	ADP
ap-4615	130	18	diagonal	diagonal	ADJ
ap-4615	130	19	matrix	matrix	NOUN
ap-4615	130	20	must	must	AUX
ap-4615	130	21	be	be	AUX
ap-4615	130	22	diagonal	diagonal	ADJ
ap-4615	130	23	.	.	PUNCT
ap-4615	131	1	thus	thus	ADV
ap-4615	131	2	the	the	DET
ap-4615	131	3	form	form	NOUN
ap-4615	131	4	of	of	ADP
ap-4615	131	5	our	our	PRON
ap-4615	131	6	metric	metric	ADJ
ap-4615	131	7	operator	operator	NOUN
ap-4615	131	8	is	be	AUX
ap-4615	131	9	as	as	SCONJ
ap-4615	131	10	follows	follow	VERB
ap-4615	131	11	θ	θ	NOUN
ap-4615	131	12	=	=	SYM
ap-4615	131	13			ADJ
ap-4615	131	14	α1	α1	PROPN
ap-4615	131	15	·	·	PUNCT
ap-4615	131	16	·	·	PUNCT
ap-4615	131	17	·	·	PUNCT
ap-4615	131	18	0	0	PUNCT
ap-4615	132	1	β1	β1	PROPN
ap-4615	132	2	·	·	PUNCT
ap-4615	132	3	·	·	PUNCT
ap-4615	132	4	·	·	PUNCT
ap-4615	132	5	0	0	NUM
ap-4615	132	6	...	...	PUNCT
ap-4615	132	7	.	.	PUNCT
ap-4615	132	8	.	.	PUNCT
ap-4615	132	9	.	.	PUNCT
ap-4615	132	10	...	...	PUNCT
ap-4615	132	11	...	...	PUNCT
ap-4615	132	12	.	.	PUNCT
ap-4615	132	13	.	.	PUNCT
ap-4615	132	14	.	.	PUNCT
ap-4615	133	1	...	...	PUNCT
ap-4615	134	1	0	0	NUM
ap-4615	134	2	·	·	PUNCT
ap-4615	134	3	·	·	PUNCT
ap-4615	134	4	·	·	PUNCT
ap-4615	134	5	αn	αn	NOUN
ap-4615	134	6	0	0	NUM
ap-4615	134	7	·	·	PUNCT
ap-4615	134	8	·	·	PUNCT
ap-4615	134	9	·	·	PUNCT
ap-4615	134	10	βn	βn	VERB
ap-4615	134	11	β1	β1	PROPN
ap-4615	134	12	·	·	PUNCT
ap-4615	134	13	·	·	PUNCT
ap-4615	134	14	·	·	PUNCT
ap-4615	134	15	0	0	NUM
ap-4615	135	1	a1α1	a1α1	X
ap-4615	135	2	·	·	PUNCT
ap-4615	135	3	·	·	PUNCT
ap-4615	135	4	·	·	PUNCT
ap-4615	135	5	0	0	NUM
ap-4615	135	6	...	...	PUNCT
ap-4615	135	7	.	.	PUNCT
ap-4615	135	8	.	.	PUNCT
ap-4615	135	9	.	.	PUNCT
ap-4615	135	10	...	...	PUNCT
ap-4615	135	11	...	...	PUNCT
ap-4615	135	12	.	.	PUNCT
ap-4615	135	13	.	.	PUNCT
ap-4615	135	14	.	.	PUNCT
ap-4615	136	1	...	...	PUNCT
ap-4615	137	1	0	0	NUM
ap-4615	137	2	·	·	PUNCT
ap-4615	137	3	·	·	PUNCT
ap-4615	137	4	·	·	PUNCT
ap-4615	137	5	βn	βn	X
ap-4615	137	6	0	0	NUM
ap-4615	137	7	·	·	PUNCT
ap-4615	137	8	·	·	PUNCT
ap-4615	137	9	·	·	PUNCT
ap-4615	137	10	anαn	anαn	NOUN
ap-4615	137	11			PROPN
ap-4615	137	12	.	.	PUNCT
ap-4615	138	1	(	(	PUNCT
ap-4615	138	2	38	38	NUM
ap-4615	138	3	)	)	PUNCT
ap-4615	138	4	it	it	PRON
ap-4615	138	5	depends	depend	VERB
ap-4615	138	6	on	on	ADP
ap-4615	138	7	2n	2n	NUM
ap-4615	138	8	parameters	parameter	NOUN
ap-4615	138	9	α1	α1	PROPN
ap-4615	138	10	.	.	PUNCT
ap-4615	138	11	.	.	PUNCT
ap-4615	138	12	.	.	PUNCT
ap-4615	139	1	αn	αn	VERB
ap-4615	139	2	,	,	PUNCT
ap-4615	139	3	β1	β1	PROPN
ap-4615	139	4	.	.	PUNCT
ap-4615	139	5	.	.	PUNCT
ap-4615	139	6	.	.	PUNCT
ap-4615	140	1	βn	βn	PROPN
ap-4615	140	2	.	.	PROPN
ap-4615	140	3	requirement	requirement	NOUN
ap-4615	140	4	of	of	ADP
ap-4615	140	5	positive	positive	ADJ
ap-4615	140	6	-	-	PUNCT
ap-4615	140	7	definitness	definitness	NOUN
ap-4615	140	8	of	of	ADP
ap-4615	140	9	the	the	DET
ap-4615	140	10	metric	metric	ADJ
ap-4615	140	11	put	put	NOUN
ap-4615	140	12	following	follow	VERB
ap-4615	140	13	conditions	condition	NOUN
ap-4615	140	14	on	on	ADP
ap-4615	140	15	our	our	PRON
ap-4615	140	16	parameters	parameter	NOUN
ap-4615	140	17	αi	αi	VERB
ap-4615	140	18	>	>	X
ap-4615	140	19	0	0	PUNCT
ap-4615	140	20	,	,	PUNCT
ap-4615	140	21	aiα	aiα	INTJ
ap-4615	140	22	2	2	NUM
ap-4615	140	23	i	i	PRON
ap-4615	140	24	>	>	X
ap-4615	140	25	β2	β2	PROPN
ap-4615	141	1	i	i	PRON
ap-4615	141	2	,	,	PUNCT
ap-4615	141	3	i	i	PRON
ap-4615	141	4	=	=	NOUN
ap-4615	141	5	1	1	NUM
ap-4615	141	6	,	,	PUNCT
ap-4615	141	7	2	2	NUM
ap-4615	141	8	,	,	PUNCT
ap-4615	141	9	.	.	PUNCT
ap-4615	141	10	.	.	PUNCT
ap-4615	141	11	.	.	PUNCT
ap-4615	142	1	,	,	PUNCT
ap-4615	142	2	n	n	X
ap-4615	142	3	.	.	PUNCT
ap-4615	143	1	(	(	PUNCT
ap-4615	143	2	39	39	NUM
ap-4615	143	3	)	)	PUNCT
ap-4615	143	4	we	we	PRON
ap-4615	143	5	can	can	AUX
ap-4615	143	6	construct	construct	VERB
ap-4615	143	7	corresponding	corresponding	ADJ
ap-4615	143	8	inner	inner	ADJ
ap-4615	143	9	product	product	NOUN
ap-4615	143	10	〈	〈	PROPN
ap-4615	143	11	〈	〈	PROPN
ap-4615	143	12	ψ|ϕ	ψ|ϕ	NOUN
ap-4615	143	13	〉	〉	NOUN
ap-4615	144	1	=	=	SYM
ap-4615	144	2	n∑	n∑	PROPN
ap-4615	144	3	i=1	i=1	PROPN
ap-4615	144	4	αiψ	αiψ	NOUN
ap-4615	144	5	∗	∗	NOUN
ap-4615	145	1	i	i	PRON
ap-4615	145	2	ϕi	ϕi	ADP
ap-4615	146	1	+	+	X
ap-4615	146	2	n∑	n∑	ADJ
ap-4615	146	3	i=1	i=1	X
ap-4615	146	4	βi(ψ∗i	βi(ψ∗i	PUNCT
ap-4615	147	1	ϕn+i	ϕn+i	PROPN
ap-4615	147	2	+	+	PUNCT
ap-4615	147	3	ψ∗n+iϕi	ψ∗n+iϕi	NUM
ap-4615	147	4	)	)	PUNCT
ap-4615	148	1	+	+	NUM
ap-4615	148	2	n∑	n∑	PROPN
ap-4615	148	3	i=1	i=1	PROPN
ap-4615	148	4	aiαiψ	aiαiψ	PROPN
ap-4615	148	5	∗	∗	X
ap-4615	148	6	n+iϕn+i	n+iϕn+i	PROPN
ap-4615	148	7	,	,	PUNCT
ap-4615	148	8	(	(	PUNCT
ap-4615	148	9	40	40	NUM
ap-4615	148	10	)	)	PUNCT
ap-4615	148	11	where	where	SCONJ
ap-4615	148	12	ψ	ψ	X
ap-4615	148	13	=	=	SYM
ap-4615	148	14	(	(	PUNCT
ap-4615	148	15	ψ1	ψ1	NOUN
ap-4615	148	16	,	,	PUNCT
ap-4615	148	17	ψ2	ψ2	NOUN
ap-4615	148	18	,	,	PUNCT
ap-4615	148	19	.	.	PUNCT
ap-4615	148	20	.	.	PUNCT
ap-4615	148	21	.	.	PUNCT
ap-4615	149	1	ψ2n)t	ψ2n)t	VERB
ap-4615	149	2	,	,	PUNCT
ap-4615	149	3	ϕ	ϕ	X
ap-4615	149	4	=	=	PUNCT
ap-4615	149	5	(	(	PUNCT
ap-4615	149	6	ϕ1	ϕ1	NOUN
ap-4615	149	7	,	,	PUNCT
ap-4615	149	8	ϕ2	ϕ2	ADV
ap-4615	149	9	.	.	PUNCT
ap-4615	149	10	.	.	PUNCT
ap-4615	149	11	.	.	PUNCT
ap-4615	150	1	,	,	PUNCT
ap-4615	150	2	ϕ2n)t	ϕ2n)t	NOUN
ap-4615	150	3	are	be	AUX
ap-4615	150	4	complex	complex	ADJ
ap-4615	150	5	vectors	vector	NOUN
ap-4615	150	6	.	.	PUNCT
ap-4615	151	1	4	4	X
ap-4615	151	2	.	.	X
ap-4615	151	3	conclusions	conclusion	NOUN
ap-4615	151	4	in	in	ADP
ap-4615	151	5	our	our	PRON
ap-4615	151	6	work	work	NOUN
ap-4615	151	7	,	,	PUNCT
ap-4615	151	8	we	we	PRON
ap-4615	151	9	familiarized	familiarize	VERB
ap-4615	151	10	the	the	DET
ap-4615	151	11	reader	reader	NOUN
ap-4615	151	12	with	with	ADP
ap-4615	151	13	the	the	DET
ap-4615	151	14	cryptohermitian	cryptohermitian	ADJ
ap-4615	151	15	approach	approach	NOUN
ap-4615	151	16	to	to	ADP
ap-4615	151	17	the	the	DET
ap-4615	151	18	klein	klein	PROPN
ap-4615	151	19	-	-	PUNCT
ap-4615	151	20	gordon	gordon	PROPN
ap-4615	151	21	equation	equation	NOUN
ap-4615	151	22	.	.	PUNCT
ap-4615	152	1	we	we	PRON
ap-4615	152	2	computed	compute	VERB
ap-4615	152	3	metric	metric	ADJ
ap-4615	152	4	operator	operator	NOUN
ap-4615	152	5	in	in	ADP
ap-4615	152	6	both	both	CCONJ
ap-4615	152	7	continuous	continuous	ADJ
ap-4615	152	8	and	and	CCONJ
ap-4615	152	9	discrete	discrete	ADJ
ap-4615	152	10	cases	case	NOUN
ap-4615	152	11	.	.	PUNCT
ap-4615	153	1	corresponding	correspond	VERB
ap-4615	153	2	positive	positive	ADJ
ap-4615	153	3	definite	definite	ADJ
ap-4615	153	4	inner	inner	ADJ
ap-4615	153	5	product	product	NOUN
ap-4615	153	6	for	for	ADP
ap-4615	153	7	free	free	PROPN
ap-4615	153	8	klein	klein	PROPN
ap-4615	153	9	-	-	PUNCT
ap-4615	153	10	gordon	gordon	PROPN
ap-4615	153	11	equation	equation	NOUN
ap-4615	153	12	was	be	AUX
ap-4615	153	13	also	also	ADV
ap-4615	153	14	computed	compute	VERB
ap-4615	153	15	.	.	PUNCT
ap-4615	154	1	that	that	PRON
ap-4615	154	2	is	be	AUX
ap-4615	154	3	considered	consider	VERB
ap-4615	154	4	a	a	DET
ap-4615	154	5	crucial	crucial	ADJ
ap-4615	154	6	step	step	NOUN
ap-4615	154	7	in	in	ADP
ap-4615	154	8	proper	proper	ADJ
ap-4615	154	9	probability	probability	NOUN
ap-4615	154	10	interpretation	interpretation	NOUN
ap-4615	154	11	of	of	ADP
ap-4615	154	12	the	the	DET
ap-4615	154	13	klein	klein	PROPN
ap-4615	154	14	-	-	PUNCT
ap-4615	154	15	gordon	gordon	PROPN
ap-4615	154	16	equation	equation	NOUN
ap-4615	154	17	.	.	PUNCT
ap-4615	155	1	the	the	DET
ap-4615	155	2	next	next	ADJ
ap-4615	155	3	step	step	NOUN
ap-4615	155	4	of	of	ADP
ap-4615	155	5	this	this	DET
ap-4615	155	6	process	process	NOUN
ap-4615	155	7	would	would	AUX
ap-4615	155	8	be	be	AUX
ap-4615	155	9	construction	construction	NOUN
ap-4615	155	10	of	of	ADP
ap-4615	155	11	appropriate	appropriate	ADJ
ap-4615	155	12	metric	metric	ADJ
ap-4615	155	13	operator	operator	NOUN
ap-4615	155	14	for	for	ADP
ap-4615	155	15	the	the	DET
ap-4615	155	16	klein	klein	PROPN
ap-4615	155	17	-	-	PUNCT
ap-4615	155	18	gordon	gordon	PROPN
ap-4615	155	19	equation	equation	NOUN
ap-4615	155	20	with	with	ADP
ap-4615	155	21	nonzero	nonzero	PROPN
ap-4615	155	22	potential	potential	ADJ
ap-4615	155	23	v	v	NOUN
ap-4615	155	24	as	as	SCONJ
ap-4615	155	25	was	be	AUX
ap-4615	155	26	done	do	VERB
ap-4615	155	27	for	for	ADP
ap-4615	155	28	special	special	ADJ
ap-4615	155	29	cases	case	NOUN
ap-4615	155	30	in	in	ADP
ap-4615	155	31	[	[	X
ap-4615	155	32	16	16	NUM
ap-4615	155	33	,	,	PUNCT
ap-4615	155	34	17	17	NUM
ap-4615	155	35	,	,	PUNCT
ap-4615	155	36	19	19	NUM
ap-4615	155	37	,	,	PUNCT
ap-4615	155	38	21	21	NUM
ap-4615	155	39	]	]	PUNCT
ap-4615	155	40	.	.	PUNCT
ap-4615	156	1	it	it	PRON
ap-4615	156	2	is	be	AUX
ap-4615	156	3	also	also	ADV
ap-4615	156	4	possible	possible	ADJ
ap-4615	156	5	to	to	PART
ap-4615	156	6	broaden	broaden	VERB
ap-4615	156	7	the	the	DET
ap-4615	156	8	formalism	formalism	NOUN
ap-4615	156	9	by	by	ADP
ap-4615	156	10	adding	add	VERB
ap-4615	156	11	manifest	manifest	ADJ
ap-4615	156	12	nonhermiticity	nonhermiticity	NOUN
ap-4615	156	13	in	in	ADP
ap-4615	156	14	operator	operator	NOUN
ap-4615	156	15	k	k	PROPN
ap-4615	156	16	6=	6=	PROPN
ap-4615	156	17	k†	k†	PROPN
ap-4615	156	18	,	,	PUNCT
ap-4615	156	19	as	as	SCONJ
ap-4615	156	20	was	be	AUX
ap-4615	156	21	shown	show	VERB
ap-4615	156	22	in	in	ADP
ap-4615	156	23	[	[	X
ap-4615	156	24	20	20	NUM
ap-4615	156	25	]	]	PUNCT
ap-4615	156	26	.	.	PUNCT
ap-4615	157	1	related	relate	VERB
ap-4615	157	2	complicated	complicated	ADJ
ap-4615	157	3	problems	problem	NOUN
ap-4615	157	4	with	with	ADP
ap-4615	157	5	locality	locality	NOUN
ap-4615	157	6	,	,	PUNCT
ap-4615	157	7	definition	definition	NOUN
ap-4615	157	8	of	of	ADP
ap-4615	157	9	physical	physical	ADJ
ap-4615	157	10	observables	observable	NOUN
ap-4615	157	11	and	and	CCONJ
ap-4615	157	12	attempts	attempt	NOUN
ap-4615	157	13	to	to	PART
ap-4615	157	14	construct	construct	VERB
ap-4615	157	15	conserved	conserve	VERB
ap-4615	157	16	four	four	NUM
ap-4615	157	17	-	-	PUNCT
ap-4615	157	18	current	current	NOUN
ap-4615	157	19	can	can	AUX
ap-4615	157	20	be	be	AUX
ap-4615	157	21	thoroughly	thoroughly	ADV
ap-4615	157	22	studied	study	VERB
ap-4615	157	23	in	in	ADP
ap-4615	157	24	further	further	ADJ
ap-4615	157	25	references	reference	NOUN
ap-4615	157	26	[	[	X
ap-4615	157	27	16	16	NUM
ap-4615	157	28	,	,	PUNCT
ap-4615	157	29	17	17	NUM
ap-4615	157	30	]	]	PUNCT
ap-4615	157	31	.	.	PUNCT
ap-4615	158	1	the	the	DET
ap-4615	158	2	problems	problem	NOUN
ap-4615	158	3	become	become	VERB
ap-4615	158	4	much	much	ADV
ap-4615	158	5	simpler	simple	ADJ
ap-4615	158	6	if	if	SCONJ
ap-4615	158	7	we	we	PRON
ap-4615	158	8	narrow	narrow	VERB
ap-4615	158	9	our	our	PRON
ap-4615	158	10	attention	attention	NOUN
ap-4615	158	11	to	to	ADP
ap-4615	158	12	real	real	ADJ
ap-4615	158	13	kleingordon	kleingordon	NOUN
ap-4615	158	14	fields	field	NOUN
ap-4615	158	15	only	only	ADV
ap-4615	158	16	.	.	PUNCT
ap-4615	159	1	it	it	PRON
ap-4615	159	2	was	be	AUX
ap-4615	159	3	shown	show	VERB
ap-4615	159	4	that	that	SCONJ
ap-4615	159	5	in	in	ADP
ap-4615	159	6	such	such	DET
ap-4615	159	7	a	a	DET
ap-4615	159	8	case	case	NOUN
ap-4615	159	9	,	,	PUNCT
ap-4615	159	10	inner	inner	ADJ
ap-4615	159	11	product	product	NOUN
ap-4615	159	12	is	be	AUX
ap-4615	159	13	uniquely	uniquely	ADV
ap-4615	159	14	defined	define	VERB
ap-4615	159	15	[	[	PUNCT
ap-4615	159	16	16	16	NUM
ap-4615	159	17	,	,	PUNCT
ap-4615	159	18	30	30	NUM
ap-4615	159	19	]	]	PUNCT
ap-4615	159	20	.	.	PUNCT
ap-4615	160	1	acknowledgements	acknowledgement	VERB
ap-4615	160	2	the	the	DET
ap-4615	160	3	work	work	NOUN
ap-4615	160	4	of	of	ADP
ap-4615	160	5	iveta	iveta	PROPN
ap-4615	160	6	semorádová	semorádová	PRON
ap-4615	160	7	was	be	AUX
ap-4615	160	8	supported	support	VERB
ap-4615	160	9	by	by	ADP
ap-4615	160	10	the	the	DET
ap-4615	160	11	ctu	ctu	PROPN
ap-4615	160	12	grant	grant	PROPN
ap-4615	160	13	sgs16/239	sgs16/239	NOUN
ap-4615	160	14	/	/	SYM
ap-4615	160	15	ohk4/3t/14	ohk4/3t/14	PROPN
ap-4615	160	16	.	.	PUNCT
ap-4615	161	1	references	reference	NOUN
ap-4615	161	2	[	[	X
ap-4615	161	3	1	1	NUM
ap-4615	161	4	]	]	X
ap-4615	161	5	o.	o.	PROPN
ap-4615	161	6	klein	klein	PROPN
ap-4615	161	7	.	.	PUNCT
ap-4615	162	1	quantentheorie	quantentheorie	PROPN
ap-4615	162	2	und	und	VERB
ap-4615	162	3	fünfdimensionale	fünfdimensionale	NOUN
ap-4615	162	4	relativitätstheorie	relativitätstheorie	NOUN
ap-4615	162	5	.	.	PUNCT
ap-4615	163	1	zeitschrift	zeitschrift	PROPN
ap-4615	163	2	für	für	PROPN
ap-4615	163	3	physik	physik	PROPN
ap-4615	163	4	37(12):895–906	37(12):895–906	NUM
ap-4615	163	5	,	,	PUNCT
ap-4615	163	6	1926	1926	NUM
ap-4615	163	7	.	.	PUNCT
ap-4615	164	1	doi:10.1007	doi:10.1007	PROPN
ap-4615	164	2	/	/	SYM
ap-4615	164	3	bf01397481	bf01397481	NOUN
ap-4615	164	4	.	.	PUNCT
ap-4615	165	1	[	[	X
ap-4615	165	2	2	2	X
ap-4615	165	3	]	]	PUNCT
ap-4615	165	4	w.	w.	PROPN
ap-4615	165	5	gordon	gordon	PROPN
ap-4615	165	6	.	.	PUNCT
ap-4615	166	1	der	der	ADJ
ap-4615	166	2	comptoneffekt	comptoneffekt	NOUN
ap-4615	166	3	nach	nach	PROPN
ap-4615	166	4	der	der	PROPN
ap-4615	166	5	schrödingerschen	schrödingerschen	PROPN
ap-4615	166	6	theorie	theorie	PROPN
ap-4615	166	7	.	.	PUNCT
ap-4615	167	1	zeitschrift	zeitschrift	PROPN
ap-4615	167	2	für	für	PROPN
ap-4615	167	3	physik	physik	PROPN
ap-4615	167	4	40(1	40(1	PROPN
ap-4615	167	5	-	-	SYM
ap-4615	167	6	2):117–133	2):117–133	NUM
ap-4615	167	7	,	,	PUNCT
ap-4615	167	8	1926	1926	NUM
ap-4615	167	9	.	.	PUNCT
ap-4615	168	1	doi	doi	NOUN
ap-4615	168	2	:	:	PUNCT
ap-4615	168	3	https://doi.org/10.1007	https://doi.org/10.1007	ADJ
ap-4615	168	4	/	/	SYM
ap-4615	168	5	bf01390840	bf01390840	NOUN
ap-4615	168	6	.	.	PUNCT
ap-4615	169	1	[	[	X
ap-4615	169	2	3	3	X
ap-4615	169	3	]	]	X
ap-4615	169	4	j.	j.	PROPN
ap-4615	169	5	kudar	kudar	PROPN
ap-4615	169	6	.	.	PUNCT
ap-4615	170	1	zur	zur	PROPN
ap-4615	170	2	vierdimensionalen	vierdimensionalen	VERB
ap-4615	170	3	formulierung	formulierung	PROPN
ap-4615	170	4	der	der	NOUN
ap-4615	170	5	undulatorischen	undulatorischen	PROPN
ap-4615	170	6	mechanik	mechanik	PROPN
ap-4615	170	7	.	.	PUNCT
ap-4615	171	1	annalen	annalen	PROPN
ap-4615	171	2	der	der	PROPN
ap-4615	171	3	physik	physik	PROPN
ap-4615	171	4	386(22):632–636	386(22):632–636	NUM
ap-4615	171	5	,	,	PUNCT
ap-4615	171	6	1926	1926	NUM
ap-4615	171	7	.	.	PUNCT
ap-4615	172	1	doi:10.1002	doi:10.1002	NOUN
ap-4615	172	2	/	/	SYM
ap-4615	172	3	andp.19263862208	andp.19263862208	NOUN
ap-4615	172	4	.	.	PUNCT
ap-4615	173	1	[	[	X
ap-4615	173	2	4	4	X
ap-4615	173	3	]	]	X
ap-4615	173	4	v.	v.	CCONJ
ap-4615	173	5	fock	fock	ADJ
ap-4615	173	6	.	.	PUNCT
ap-4615	173	7	über	über	PROPN
ap-4615	173	8	die	die	PROPN
ap-4615	173	9	invariante	invariante	PROPN
ap-4615	173	10	form	form	PROPN
ap-4615	173	11	der	der	PROPN
ap-4615	173	12	wellen	wellen	PROPN
ap-4615	173	13	-	-	PUNCT
ap-4615	173	14	und	und	PROPN
ap-4615	173	15	der	der	ADJ
ap-4615	173	16	bewegungsgleichungen	bewegungsgleichungen	NOUN
ap-4615	173	17	für	für	NOUN
ap-4615	173	18	einen	einen	PROPN
ap-4615	173	19	geladenen	geladenen	PROPN
ap-4615	173	20	massenpunkt	massenpunkt	NOUN
ap-4615	173	21	.	.	PUNCT
ap-4615	174	1	zeitschrift	zeitschrift	PROPN
ap-4615	174	2	für	für	PROPN
ap-4615	174	3	physik	physik	PROPN
ap-4615	174	4	39(2	39(2	PROPN
ap-4615	174	5	-	-	PUNCT
ap-4615	174	6	3):226–232	3):226–232	NUM
ap-4615	174	7	,	,	PUNCT
ap-4615	174	8	1926	1926	NUM
ap-4615	174	9	.	.	PUNCT
ap-4615	175	1	doi:10.1007	doi:10.1007	PROPN
ap-4615	175	2	/	/	SYM
ap-4615	175	3	bf01321989	bf01321989	PROPN
ap-4615	175	4	.	.	PUNCT
ap-4615	176	1	[	[	X
ap-4615	176	2	5	5	X
ap-4615	176	3	]	]	PUNCT
ap-4615	176	4	v.	v.	CCONJ
ap-4615	176	5	fock	fock	ADJ
ap-4615	176	6	.	.	PUNCT
ap-4615	177	1	zur	zur	VERB
ap-4615	177	2	schrödingerschen	schrödingerschen	ADJ
ap-4615	177	3	wellenmechanik	wellenmechanik	PROPN
ap-4615	177	4	.	.	PUNCT
ap-4615	178	1	zeitschrift	zeitschrift	PROPN
ap-4615	178	2	für	für	PROPN
ap-4615	178	3	physik	physik	VERB
ap-4615	178	4	a	a	DET
ap-4615	178	5	hadrons	hadron	NOUN
ap-4615	178	6	and	and	CCONJ
ap-4615	178	7	nuclei	nucleus	NOUN
ap-4615	178	8	38(3):242–250	38(3):242–250	NUM
ap-4615	178	9	,	,	PUNCT
ap-4615	178	10	1926	1926	NUM
ap-4615	178	11	.	.	PUNCT
ap-4615	179	1	[	[	X
ap-4615	179	2	6	6	NUM
ap-4615	179	3	]	]	PUNCT
ap-4615	179	4	t.	t.	PROPN
ap-4615	179	5	de	de	X
ap-4615	179	6	donder	donder	PROPN
ap-4615	179	7	,	,	PUNCT
ap-4615	179	8	h.	h.	PROPN
ap-4615	179	9	van	van	PROPN
ap-4615	179	10	den	den	PROPN
ap-4615	179	11	dungen	dungen	PROPN
ap-4615	179	12	.	.	PUNCT
ap-4615	180	1	la	la	ADJ
ap-4615	180	2	quantification	quantification	NOUN
ap-4615	180	3	déduite	déduite	NOUN
ap-4615	180	4	de	de	X
ap-4615	180	5	la	la	X
ap-4615	180	6	gravifique	gravifique	PROPN
ap-4615	180	7	einsteinienne	einsteinienne	PROPN
ap-4615	180	8	.	.	PUNCT
ap-4615	181	1	comptes	compte	VERB
ap-4615	181	2	rendus	rendus	PROPN
ap-4615	181	3	183:22–24	183:22–24	NUM
ap-4615	181	4	,	,	PUNCT
ap-4615	181	5	1926	1926	NUM
ap-4615	181	6	.	.	PUNCT
ap-4615	182	1	[	[	X
ap-4615	182	2	7	7	X
ap-4615	182	3	]	]	X
ap-4615	182	4	e.	e.	PROPN
ap-4615	182	5	schrödinger	schrödinger	PROPN
ap-4615	182	6	.	.	PUNCT
ap-4615	183	1	quantisierung	quantisierung	PROPN
ap-4615	183	2	als	als	VERB
ap-4615	183	3	eigenwertproblem	eigenwertproblem	NOUN
ap-4615	183	4	.	.	PUNCT
ap-4615	184	1	annalen	annalen	PROPN
ap-4615	184	2	der	der	PROPN
ap-4615	184	3	physik	physik	PROPN
ap-4615	184	4	385(13):437–490	385(13):437–490	PROPN
ap-4615	184	5	,	,	PUNCT
ap-4615	184	6	1926	1926	NUM
ap-4615	184	7	.	.	PUNCT
ap-4615	185	1	doi:10.1002	doi:10.1002	NOUN
ap-4615	185	2	/	/	SYM
ap-4615	185	3	andp.19263851302	andp.19263851302	PROPN
ap-4615	185	4	.	.	PUNCT
ap-4615	186	1	[	[	X
ap-4615	186	2	8	8	NUM
ap-4615	186	3	]	]	X
ap-4615	186	4	f.	f.	PROPN
ap-4615	186	5	constantinescu	constantinescu	PROPN
ap-4615	186	6	,	,	PUNCT
ap-4615	186	7	e.	e.	PROPN
ap-4615	186	8	magyari	magyari	PROPN
ap-4615	186	9	.	.	PUNCT
ap-4615	187	1	problems	problem	NOUN
ap-4615	187	2	in	in	ADP
ap-4615	187	3	quantum	quantum	ADJ
ap-4615	187	4	mechanics	mechanic	NOUN
ap-4615	187	5	.	.	PUNCT
ap-4615	188	1	elsevier	elsevier	NOUN
ap-4615	188	2	,	,	PUNCT
ap-4615	188	3	2013	2013	NUM
ap-4615	188	4	.	.	PUNCT
ap-4615	189	1	doi:10.1119/1.1986548	doi:10.1119/1.1986548	NOUN
ap-4615	189	2	.	.	PUNCT
ap-4615	190	1	[	[	X
ap-4615	190	2	9	9	NUM
ap-4615	190	3	]	]	X
ap-4615	190	4	w.	w.	PROPN
ap-4615	190	5	pauli	pauli	PROPN
ap-4615	190	6	,	,	PUNCT
ap-4615	190	7	v.	v.	CCONJ
ap-4615	190	8	weisskopf	weisskopf	ADJ
ap-4615	190	9	.	.	PUNCT
ap-4615	191	1	über	über	PROPN
ap-4615	191	2	die	die	PROPN
ap-4615	191	3	quantisierung	quantisierung	PROPN
ap-4615	191	4	der	der	PROPN
ap-4615	191	5	skalaren	skalaren	PROPN
ap-4615	191	6	relativistischen	relativistischen	PROPN
ap-4615	191	7	wellengleichung	wellengleichung	PROPN
ap-4615	191	8	.	.	PUNCT
ap-4615	192	1	helv	helv	PROPN
ap-4615	192	2	phys	phy	NOUN
ap-4615	192	3	acta	acta	PROPN
ap-4615	192	4	7:709–731	7:709–731	NUM
ap-4615	192	5	,	,	PUNCT
ap-4615	192	6	1934	1934	NUM
ap-4615	192	7	.	.	PUNCT
ap-4615	193	1	[	[	X
ap-4615	193	2	10	10	NUM
ap-4615	193	3	]	]	PUNCT
ap-4615	193	4	a.	a.	NOUN
ap-4615	193	5	mostafazadeh	mostafazadeh	PROPN
ap-4615	193	6	.	.	PUNCT
ap-4615	194	1	hilbert	hilbert	PROPN
ap-4615	194	2	space	space	NOUN
ap-4615	194	3	structures	structure	NOUN
ap-4615	194	4	on	on	ADP
ap-4615	194	5	the	the	DET
ap-4615	194	6	solution	solution	NOUN
ap-4615	194	7	space	space	NOUN
ap-4615	194	8	of	of	ADP
ap-4615	194	9	klein	klein	PROPN
ap-4615	194	10	-	-	PUNCT
ap-4615	194	11	gordon	gordon	PROPN
ap-4615	194	12	type	type	NOUN
ap-4615	194	13	evolution	evolution	NOUN
ap-4615	194	14	equations	equation	NOUN
ap-4615	194	15	.	.	PUNCT
ap-4615	195	1	class	class	NOUN
ap-4615	195	2	quantum	quantum	PROPN
ap-4615	195	3	grav	grav	NOUN
ap-4615	195	4	20:155–171	20:155–171	PROPN
ap-4615	195	5	,	,	PUNCT
ap-4615	195	6	2003	2003	NUM
ap-4615	195	7	.	.	PUNCT
ap-4615	196	1	doi:10.1088/0264	doi:10.1088/0264	NOUN
ap-4615	196	2	-	-	PUNCT
ap-4615	196	3	9381/20/1/312	9381/20/1/312	NUM
ap-4615	196	4	.	.	PUNCT
ap-4615	197	1	[	[	X
ap-4615	197	2	11	11	NUM
ap-4615	197	3	]	]	X
ap-4615	197	4	j.	j.	PROPN
ap-4615	197	5	dieudonné	dieudonné	PROPN
ap-4615	197	6	.	.	PUNCT
ap-4615	198	1	quasi	quasi	ADJ
ap-4615	198	2	-	-	ADJ
ap-4615	198	3	hermitian	hermitian	ADJ
ap-4615	198	4	operators	operator	NOUN
ap-4615	198	5	.	.	PUNCT
ap-4615	199	1	proc	proc	PROPN
ap-4615	199	2	internat	internat	PROPN
ap-4615	199	3	sympos	sympos	PROPN
ap-4615	199	4	linear	linear	PROPN
ap-4615	199	5	spaces	space	NOUN
ap-4615	199	6	(	(	PUNCT
ap-4615	199	7	jerusalem	jerusalem	PROPN
ap-4615	199	8	,	,	PUNCT
ap-4615	199	9	1960	1960	NUM
ap-4615	199	10	)	)	PUNCT
ap-4615	199	11	,	,	PUNCT
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ap-4615	199	13	,	,	PUNCT
ap-4615	199	14	oxford	oxford	PROPN
ap-4615	199	15	115122	115122	NUM
ap-4615	199	16	,	,	PUNCT
ap-4615	199	17	1961	1961	NUM
ap-4615	199	18	.	.	PUNCT
ap-4615	200	1	[	[	X
ap-4615	200	2	12	12	NUM
ap-4615	200	3	]	]	X
ap-4615	200	4	f.	f.	PROPN
ap-4615	200	5	j.	j.	PROPN
ap-4615	200	6	dyson	dyson	PROPN
ap-4615	200	7	.	.	PROPN
ap-4615	200	8	general	general	ADJ
ap-4615	200	9	theory	theory	NOUN
ap-4615	200	10	of	of	ADP
ap-4615	200	11	spin	spin	NOUN
ap-4615	200	12	-	-	PUNCT
ap-4615	200	13	wave	wave	NOUN
ap-4615	200	14	interactions	interaction	NOUN
ap-4615	200	15	.	.	PUNCT
ap-4615	201	1	phys	phy	NOUN
ap-4615	201	2	rev	rev	VERB
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ap-4615	201	4	,	,	PUNCT
ap-4615	201	5	1956	1956	NUM
ap-4615	201	6	.	.	PUNCT
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ap-4615	202	2	/	/	SYM
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ap-4615	202	4	.	.	PUNCT
ap-4615	203	1	[	[	X
ap-4615	203	2	13	13	NUM
ap-4615	203	3	]	]	X
ap-4615	203	4	f.	f.	PROPN
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ap-4615	203	6	,	,	PUNCT
ap-4615	203	7	h.	h.	PROPN
ap-4615	203	8	geyer	geyer	PROPN
ap-4615	203	9	,	,	PUNCT
ap-4615	203	10	f.	f.	PROPN
ap-4615	203	11	hahne	hahne	PROPN
ap-4615	203	12	.	.	PUNCT
ap-4615	204	1	quasi	quasi	ADJ
ap-4615	204	2	-	-	ADJ
ap-4615	204	3	hermitian	hermitian	ADJ
ap-4615	204	4	operators	operator	NOUN
ap-4615	204	5	in	in	ADP
ap-4615	204	6	quantum	quantum	ADJ
ap-4615	204	7	mechanics	mechanic	NOUN
ap-4615	204	8	and	and	CCONJ
ap-4615	204	9	the	the	DET
ap-4615	204	10	variational	variational	ADJ
ap-4615	204	11	principle	principle	NOUN
ap-4615	204	12	.	.	PUNCT
ap-4615	205	1	ann	ann	PROPN
ap-4615	205	2	phys	phys	PROPN
ap-4615	205	3	213:71–101	213:71–101	NUM
ap-4615	205	4	,	,	PUNCT
ap-4615	205	5	1992	1992	NUM
ap-4615	205	6	.	.	PUNCT
ap-4615	206	1	doi:10.1016/0003	doi:10.1016/0003	PROPN
ap-4615	206	2	-	-	PUNCT
ap-4615	206	3	4916(92)90284	4916(92)90284	NOUN
ap-4615	206	4	-	-	PUNCT
ap-4615	206	5	s.	s.	PROPN
ap-4615	206	6	[	[	X
ap-4615	206	7	14	14	NUM
ap-4615	206	8	]	]	X
ap-4615	206	9	c.	c.	PROPN
ap-4615	206	10	m.	m.	PROPN
ap-4615	206	11	bender	bender	PROPN
ap-4615	206	12	,	,	PUNCT
ap-4615	206	13	s.	s.	PROPN
ap-4615	206	14	boettcher	boettcher	PROPN
ap-4615	206	15	.	.	PUNCT
ap-4615	207	1	real	real	ADJ
ap-4615	207	2	spectra	spectra	NOUN
ap-4615	207	3	in	in	ADP
ap-4615	207	4	non	non	ADJ
ap-4615	207	5	-	-	ADJ
ap-4615	207	6	hermitian	hermitian	ADJ
ap-4615	207	7	hamiltonians	hamiltonian	NOUN
ap-4615	207	8	having	have	VERB
ap-4615	207	9	pt	pt	PROPN
ap-4615	207	10	-symmetry	-symmetry	NOUN
ap-4615	207	11	.	.	PUNCT
ap-4615	208	1	phys	phy	NOUN
ap-4615	208	2	rev	rev	VERB
ap-4615	208	3	lett	lett	PROPN
ap-4615	208	4	80(24):5243	80(24):5243	PROPN
ap-4615	208	5	,	,	PUNCT
ap-4615	208	6	1998	1998	NUM
ap-4615	208	7	.	.	PUNCT
ap-4615	209	1	doi:10.1103	doi:10.1103	NOUN
ap-4615	209	2	/	/	SYM
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ap-4615	209	4	.	.	PUNCT
ap-4615	210	1	[	[	X
ap-4615	210	2	15	15	NUM
ap-4615	210	3	]	]	PUNCT
ap-4615	210	4	a.	a.	NOUN
ap-4615	210	5	mostafazadeh	mostafazadeh	PROPN
ap-4615	210	6	.	.	PUNCT
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ap-4615	211	2	mechanics	mechanic	NOUN
ap-4615	211	3	of	of	ADP
ap-4615	211	4	klein	klein	PROPN
ap-4615	211	5	-	-	PUNCT
ap-4615	211	6	gordon	gordon	PROPN
ap-4615	211	7	-	-	PUNCT
ap-4615	211	8	type	type	NOUN
ap-4615	211	9	fields	field	NOUN
ap-4615	211	10	and	and	CCONJ
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ap-4615	211	12	cosmology	cosmology	NOUN
ap-4615	211	13	.	.	PUNCT
ap-4615	212	1	ann	ann	PROPN
ap-4615	212	2	phys	phys	PROPN
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ap-4615	212	5	york	york	PROPN
ap-4615	212	6	)	)	PUNCT
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ap-4615	212	8	,	,	PUNCT
ap-4615	212	9	2004	2004	NUM
ap-4615	212	10	.	.	PUNCT
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ap-4615	213	2	/	/	SYM
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ap-4615	213	4	.	.	PUNCT
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ap-4615	214	3	]	]	PUNCT
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ap-4615	214	9	.	.	PUNCT
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ap-4615	214	13	klein	klein	PROPN
ap-4615	214	14	–	–	PUNCT
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ap-4615	214	17	i	i	PRON
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ap-4615	214	28	.	.	PUNCT
ap-4615	215	1	ann	ann	PROPN
ap-4615	215	2	phys	phys	PROPN
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ap-4615	215	4	,	,	PUNCT
ap-4615	215	5	2006	2006	NUM
ap-4615	215	6	.	.	PUNCT
ap-4615	216	1	doi:10.1016	doi:10.1016	PROPN
ap-4615	216	2	/	/	SYM
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ap-4615	216	4	.	.	PUNCT
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ap-4615	217	2	17	17	NUM
ap-4615	217	3	]	]	PUNCT
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ap-4615	217	5	mostafazadeh	mostafazadeh	PROPN
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ap-4615	217	7	f.	f.	PROPN
ap-4615	217	8	zamani	zamani	PROPN
ap-4615	217	9	.	.	PUNCT
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ap-4615	217	13	klein	klein	PROPN
ap-4615	217	14	–	–	PUNCT
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ap-4615	217	16	fields	fields	PROPN
ap-4615	217	17	ii	ii	PROPN
ap-4615	217	18	:	:	PUNCT
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ap-4615	217	20	coherent	coherent	ADJ
ap-4615	217	21	states	state	NOUN
ap-4615	217	22	.	.	PUNCT
ap-4615	218	1	ann	ann	PROPN
ap-4615	218	2	phys	phys	PROPN
ap-4615	218	3	321(9):2210–2241	321(9):2210–2241	PROPN
ap-4615	218	4	,	,	PUNCT
ap-4615	218	5	2006	2006	NUM
ap-4615	218	6	.	.	PUNCT
ap-4615	219	1	doi:10.1016	doi:10.1016	PROPN
ap-4615	219	2	/	/	SYM
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ap-4615	219	4	.	.	PUNCT
ap-4615	220	1	465	465	NUM
ap-4615	221	1	http://dx.doi.org/10.1007/bf01397481	http://dx.doi.org/10.1007/bf01397481	NOUN
ap-4615	221	2	http://dx.doi.org/https://doi.org/10.1007/bf01390840	http://dx.doi.org/https://doi.org/10.1007/bf01390840	NOUN
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ap-4615	222	1	http://dx.doi.org/10.1119/1.1986548	http://dx.doi.org/10.1119/1.1986548	AUX
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ap-4615	222	13	[	[	X
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ap-4615	222	15	]	]	PUNCT
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ap-4615	222	17	mostafazadeh	mostafazadeh	PROPN
ap-4615	222	18	.	.	PUNCT
ap-4615	223	1	a	a	DET
ap-4615	223	2	physical	physical	ADJ
ap-4615	223	3	realization	realization	NOUN
ap-4615	223	4	of	of	ADP
ap-4615	223	5	the	the	DET
ap-4615	223	6	generalized	generalize	VERB
ap-4615	223	7	pt	pt	NOUN
ap-4615	223	8	-	-	PUNCT
ap-4615	223	9	,	,	PUNCT
ap-4615	223	10	c-	c-	X
ap-4615	223	11	,	,	PUNCT
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ap-4615	223	13	cpt	cpt	PROPN
ap-4615	223	14	-symmetries	-symmetrie	NOUN
ap-4615	223	15	and	and	CCONJ
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ap-4615	223	17	position	position	NOUN
ap-4615	223	18	operator	operator	NOUN
ap-4615	223	19	for	for	ADP
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ap-4615	223	21	-	-	PUNCT
ap-4615	223	22	gordon	gordon	PROPN
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ap-4615	223	24	.	.	PUNCT
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ap-4615	224	2	journal	journal	NOUN
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ap-4615	224	4	modern	modern	ADJ
ap-4615	224	5	physics	physic	NOUN
ap-4615	224	6	a	a	DET
ap-4615	224	7	21(12):2553–2572	21(12):2553–2572	NUM
ap-4615	224	8	,	,	PUNCT
ap-4615	224	9	2006	2006	NUM
ap-4615	224	10	.	.	PUNCT
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ap-4615	225	2	/	/	SYM
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ap-4615	225	4	.	.	PUNCT
ap-4615	226	1	[	[	X
ap-4615	226	2	19	19	NUM
ap-4615	226	3	]	]	PUNCT
ap-4615	226	4	m.	m.	NOUN
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ap-4615	226	6	.	.	PUNCT
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ap-4615	227	4	mechanics	mechanic	NOUN
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ap-4615	227	8	-	-	PUNCT
ap-4615	227	9	gordon	gordon	PROPN
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ap-4615	228	1	j	j	PROPN
ap-4615	228	2	phys	phy	NOUN
ap-4615	228	3	a	a	PRON
ap-4615	228	4	:	:	PUNCT
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ap-4615	228	8	,	,	PUNCT
ap-4615	228	9	2004	2004	NUM
ap-4615	228	10	.	.	PUNCT
ap-4615	229	1	doi:10.1088/0305	doi:10.1088/0305	X
ap-4615	229	2	-	-	PUNCT
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ap-4615	229	4	.	.	PUNCT
ap-4615	230	1	[	[	X
ap-4615	230	2	20	20	NUM
ap-4615	230	3	]	]	PUNCT
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ap-4615	230	5	znojil	znojil	NOUN
ap-4615	230	6	.	.	PUNCT
ap-4615	231	1	solvable	solvable	ADJ
ap-4615	231	2	relativistic	relativistic	ADJ
ap-4615	231	3	quantum	quantum	NOUN
ap-4615	231	4	dots	dot	NOUN
ap-4615	231	5	with	with	ADP
ap-4615	231	6	vibrational	vibrational	ADJ
ap-4615	231	7	spectra	spectra	NOUN
ap-4615	231	8	.	.	PUNCT
ap-4615	232	1	czech	czech	PROPN
ap-4615	232	2	j	j	PROPN
ap-4615	232	3	phys	phy	NOUN
ap-4615	232	4	55:1187–1192	55:1187–1192	PROPN
ap-4615	232	5	.	.	PROPN
ap-4615	232	6	,	,	PUNCT
ap-4615	232	7	2005	2005	NUM
ap-4615	232	8	.	.	PUNCT
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ap-4615	233	2	/	/	SYM
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ap-4615	233	4	-	-	PUNCT
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ap-4615	233	6	-	-	PUNCT
ap-4615	233	7	0127	0127	NUM
ap-4615	233	8	-	-	SYM
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ap-4615	234	2	21	21	NUM
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ap-4615	234	5	znojil	znojil	PROPN
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ap-4615	234	12	.	.	PUNCT
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ap-4615	235	3	hermitian	hermitian	ADJ
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ap-4615	235	7	-	-	PUNCT
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ap-4615	235	10	-	-	PUNCT
ap-4615	235	11	gordon	gordon	PROPN
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ap-4615	235	13	.	.	PUNCT
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ap-4615	236	5	,	,	PUNCT
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ap-4615	236	7	.	.	PUNCT
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ap-4615	237	2	/	/	SYM
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ap-4615	239	7	f.	f.	PROPN
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ap-4615	240	2	relativistic	relativistic	ADJ
ap-4615	240	3	wave	wave	NOUN
ap-4615	240	4	mechanics	mechanic	NOUN
ap-4615	240	5	of	of	ADP
ap-4615	240	6	spin	spin	NOUN
ap-4615	240	7	0	0	PUNCT
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ap-4615	240	10	1/2	1/2	NUM
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ap-4615	240	12	.	.	PUNCT
ap-4615	241	1	rev	rev	VERB
ap-4615	241	2	mod	mod	PROPN
ap-4615	241	3	phys	phys	PROPN
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ap-4615	241	5	,	,	PUNCT
ap-4615	241	6	1958	1958	NUM
ap-4615	241	7	.	.	PUNCT
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ap-4615	242	2	/	/	SYM
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ap-4615	242	4	.	.	PUNCT
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ap-4615	244	4	particle	particle	NOUN
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ap-4615	244	6	.	.	PUNCT
ap-4615	245	1	phys	phy	NOUN
ap-4615	245	2	rev	rev	VERB
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ap-4615	245	4	,	,	PUNCT
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ap-4615	247	6	.	.	PUNCT
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ap-4615	248	3	hermitian	hermitian	ADJ
ap-4615	248	4	representation	representation	NOUN
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ap-4615	248	8	.	.	PUNCT
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ap-4615	249	5	mod	mod	PROPN
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ap-4615	249	8	,	,	PUNCT
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ap-4615	251	7	.	.	PUNCT
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ap-4615	252	2	sense	sense	NOUN
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ap-4615	252	4	non	non	ADJ
ap-4615	252	5	-	-	ADJ
ap-4615	252	6	hermitian	hermitian	ADJ
ap-4615	252	7	hamiltonians	hamiltonian	NOUN
ap-4615	252	8	.	.	PUNCT
ap-4615	253	1	reports	report	NOUN
ap-4615	253	2	on	on	ADP
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ap-4615	253	4	in	in	ADP
ap-4615	253	5	physics	physics	NOUN
ap-4615	253	6	70(6):947	70(6):947	NUM
ap-4615	253	7	,	,	PUNCT
ap-4615	253	8	2007	2007	NUM
ap-4615	253	9	.	.	PUNCT
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ap-4615	255	1	[	[	X
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ap-4615	255	6	.	.	PUNCT
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ap-4615	256	2	-	-	PUNCT
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ap-4615	256	4	-	-	PUNCT
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ap-4615	256	6	formulation	formulation	NOUN
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ap-4615	256	9	mechanics	mechanic	NOUN
ap-4615	256	10	.	.	PUNCT
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ap-4615	257	2	,	,	PUNCT
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ap-4615	257	13	.	.	PUNCT
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ap-4615	258	9	.	.	PUNCT
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ap-4615	259	2	-	-	NOUN
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ap-4615	259	5	infinite	infinite	ADJ
ap-4615	259	6	-	-	PUNCT
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ap-4615	259	10	.	.	PUNCT
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ap-4615	260	5	,	,	PUNCT
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ap-4615	261	8	.	.	PUNCT
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ap-4615	262	4	h.	h.	PROPN
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ap-4615	262	9	.	.	PUNCT
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ap-4615	263	2	-	-	ADJ
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ap-4615	263	5	in	in	ADP
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ap-4615	263	7	physics	physics	NOUN
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ap-4615	266	2	-	-	PUNCT
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ap-4615	266	4	-	-	PUNCT
ap-4615	266	5	lattice	lattice	NOUN
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ap-4615	266	8	v	v	NOUN
ap-4615	266	9	(	(	PUNCT
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ap-4615	267	4	,	,	PUNCT
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ap-4615	267	6	.	.	PUNCT
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ap-4615	270	3	meaningful	meaningful	ADJ
ap-4615	270	4	inner	inner	ADJ
ap-4615	270	5	product	product	NOUN
ap-4615	270	6	for	for	ADP
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ap-4615	270	9	-	-	PUNCT
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ap-4615	270	13	positive	positive	ADJ
ap-4615	270	14	semi	semi	ADJ
ap-4615	270	15	-	-	ADJ
ap-4615	270	16	definite	definite	ADJ
ap-4615	270	17	norm	norm	NOUN
ap-4615	270	18	.	.	PUNCT
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ap-4615	271	2	j	j	PROPN
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ap-4615	271	4	56(9):999–1006	56(9):999–1006	NUM
ap-4615	271	5	,	,	PUNCT
ap-4615	271	6	2006	2006	NUM
ap-4615	271	7	.	.	PUNCT
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ap-4615	272	6	-	-	PUNCT
ap-4615	272	7	0395	0395	NUM
ap-4615	272	8	-	-	PUNCT
ap-4615	272	9	9	9	NUM
ap-4615	272	10	.	.	NOUN
ap-4615	272	11	466	466	NUM
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ap-4615	272	13	http://dx.doi.org/10.1088/0305-4470/37/40/016	http://dx.doi.org/10.1088/0305-4470/37/40/016	PROPN
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ap-4615	272	15	http://dx.doi.org/10.1023/b:cjop.0000044017.33267.58	http://dx.doi.org/10.1023/b:cjop.0000044017.33267.58	PROPN
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ap-4615	273	9	1	1	NUM
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ap-4615	273	11	2	2	NUM
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ap-4615	273	13	-	-	PUNCT
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