id	sid	tid	token	lemma	pos
arestyrurj-157	1	1	aresty	aresty	PROPN
arestyrurj-157	1	2	rutgers	rutgers	PROPN
arestyrurj-157	1	3	undergraduate	undergraduate	PROPN
arestyrurj-157	1	4	research	research	PROPN
arestyrurj-157	1	5	journal	journal	PROPN
arestyrurj-157	1	6	,	,	PUNCT
arestyrurj-157	1	7	volume	volume	NOUN
arestyrurj-157	1	8	i	i	PRON
arestyrurj-157	1	9	,	,	PUNCT
arestyrurj-157	1	10	issue	issue	NOUN
arestyrurj-157	1	11	ii	ii	NOUN
arestyrurj-157	1	12	this	this	DET
arestyrurj-157	1	13	work	work	NOUN
arestyrurj-157	1	14	is	be	AUX
arestyrurj-157	1	15	licensed	license	VERB
arestyrurj-157	1	16	under	under	ADP
arestyrurj-157	1	17	a	a	DET
arestyrurj-157	1	18	creative	creative	ADJ
arestyrurj-157	1	19	commons	common	NOUN
arestyrurj-157	1	20	attribution	attribution	NOUN
arestyrurj-157	1	21	-	-	PUNCT
arestyrurj-157	1	22	noncommercial	noncommercial	ADJ
arestyrurj-157	1	23	-	-	PUNCT
arestyrurj-157	1	24	sharealike	sharealike	ADJ
arestyrurj-157	1	25	4.0	4.0	NUM
arestyrurj-157	1	26	international	international	ADJ
arestyrurj-157	1	27	license	license	NOUN
arestyrurj-157	1	28	.	.	PUNCT
arestyrurj-157	2	1	particle	particle	NOUN
arestyrurj-157	2	2	trajectories	trajectory	NOUN
arestyrurj-157	2	3	for	for	ADP
arestyrurj-157	2	4	compton	compton	PROPN
arestyrurj-157	2	5	scattering	scatter	VERB
arestyrurj-157	2	6	in	in	ADP
arestyrurj-157	2	7	one	one	NUM
arestyrurj-157	2	8	space	space	NOUN
arestyrurj-157	2	9	dimension	dimension	NOUN
arestyrurj-157	2	10	adriana	adriana	PROPN
arestyrurj-157	2	11	scanteianu	scanteianu	PROPN
arestyrurj-157	2	12	,	,	PUNCT
arestyrurj-157	2	13	xiangyue	xiangyue	PROPN
arestyrurj-157	2	14	wang	wang	PROPN
arestyrurj-157	2	15	✵	✵	PROPN
arestyrurj-157	2	16	abstract	abstract	PROPN
arestyrurj-157	2	17	using	use	VERB
arestyrurj-157	2	18	a	a	DET
arestyrurj-157	2	19	relativistic	relativistic	ADJ
arestyrurj-157	2	20	extension	extension	NOUN
arestyrurj-157	2	21	of	of	ADP
arestyrurj-157	2	22	bohmian	bohmian	ADJ
arestyrurj-157	2	23	mechanics	mechanic	NOUN
arestyrurj-157	2	24	known	know	VERB
arestyrurj-157	2	25	as	as	ADP
arestyrurj-157	2	26	multi	multi	ADJ
arestyrurj-157	2	27	-	-	ADJ
arestyrurj-157	2	28	time	time	ADJ
arestyrurj-157	2	29	wave	wave	NOUN
arestyrurj-157	2	30	function	function	NOUN
arestyrurj-157	2	31	formulation	formulation	NOUN
arestyrurj-157	2	32	,	,	PUNCT
arestyrurj-157	2	33	we	we	PRON
arestyrurj-157	2	34	examine	examine	VERB
arestyrurj-157	2	35	a	a	DET
arestyrurj-157	2	36	two	two	NUM
arestyrurj-157	2	37	-	-	PUNCT
arestyrurj-157	2	38	body	body	NOUN
arestyrurj-157	2	39	,	,	PUNCT
arestyrurj-157	2	40	one	one	NUM
arestyrurj-157	2	41	-	-	PUNCT
arestyrurj-157	2	42	dimensional	dimensional	ADJ
arestyrurj-157	2	43	system	system	NOUN
arestyrurj-157	2	44	consisting	consist	VERB
arestyrurj-157	2	45	of	of	ADP
arestyrurj-157	2	46	one	one	NUM
arestyrurj-157	2	47	photon	photon	NOUN
arestyrurj-157	2	48	and	and	CCONJ
arestyrurj-157	2	49	one	one	NUM
arestyrurj-157	2	50	electron	electron	NOUN
arestyrurj-157	2	51	that	that	PRON
arestyrurj-157	2	52	interact	interact	VERB
arestyrurj-157	2	53	only	only	ADV
arestyrurj-157	2	54	upon	upon	SCONJ
arestyrurj-157	2	55	contact	contact	NOUN
arestyrurj-157	2	56	.	.	PUNCT
arestyrurj-157	3	1	we	we	PRON
arestyrurj-157	3	2	investigate	investigate	VERB
arestyrurj-157	3	3	the	the	DET
arestyrurj-157	3	4	effects	effect	NOUN
arestyrurj-157	3	5	that	that	SCONJ
arestyrurj-157	3	6	various	various	ADJ
arestyrurj-157	3	7	parameters	parameter	NOUN
arestyrurj-157	3	8	in	in	ADP
arestyrurj-157	3	9	this	this	DET
arestyrurj-157	3	10	theory	theory	NOUN
arestyrurj-157	3	11	including	include	VERB
arestyrurj-157	3	12	momentum	momentum	NOUN
arestyrurj-157	3	13	of	of	ADP
arestyrurj-157	3	14	the	the	DET
arestyrurj-157	3	15	incoming	incoming	ADJ
arestyrurj-157	3	16	photon	photon	NOUN
arestyrurj-157	3	17	and	and	CCONJ
arestyrurj-157	3	18	mass	mass	NOUN
arestyrurj-157	3	19	of	of	ADP
arestyrurj-157	3	20	the	the	DET
arestyrurj-157	3	21	electron	electron	NOUN
arestyrurj-157	3	22	have	have	VERB
arestyrurj-157	3	23	on	on	ADP
arestyrurj-157	3	24	the	the	DET
arestyrurj-157	3	25	dynamics	dynamic	NOUN
arestyrurj-157	3	26	of	of	ADP
arestyrurj-157	3	27	the	the	DET
arestyrurj-157	3	28	two	two	NUM
arestyrurj-157	3	29	interacting	interact	VERB
arestyrurj-157	3	30	bodies	body	NOUN
arestyrurj-157	3	31	with	with	ADP
arestyrurj-157	3	32	the	the	DET
arestyrurj-157	3	33	goal	goal	NOUN
arestyrurj-157	3	34	of	of	ADP
arestyrurj-157	3	35	understanding	understand	VERB
arestyrurj-157	3	36	conservation	conservation	NOUN
arestyrurj-157	3	37	of	of	ADP
arestyrurj-157	3	38	momentum	momentum	NOUN
arestyrurj-157	3	39	and	and	CCONJ
arestyrurj-157	3	40	energy	energy	NOUN
arestyrurj-157	3	41	in	in	ADP
arestyrurj-157	3	42	the	the	DET
arestyrurj-157	3	43	system	system	NOUN
arestyrurj-157	3	44	.	.	PUNCT
arestyrurj-157	4	1	we	we	PRON
arestyrurj-157	4	2	show	show	VERB
arestyrurj-157	4	3	that	that	SCONJ
arestyrurj-157	4	4	the	the	DET
arestyrurj-157	4	5	core	core	ADJ
arestyrurj-157	4	6	principles	principle	NOUN
arestyrurj-157	4	7	of	of	ADP
arestyrurj-157	4	8	compton	compton	PROPN
arestyrurj-157	4	9	scattering	scattering	NOUN
arestyrurj-157	4	10	remain	remain	VERB
arestyrurj-157	4	11	when	when	SCONJ
arestyrurj-157	4	12	we	we	PRON
arestyrurj-157	4	13	use	use	VERB
arestyrurj-157	4	14	this	this	DET
arestyrurj-157	4	15	alternative	alternative	ADJ
arestyrurj-157	4	16	formulation	formulation	NOUN
arestyrurj-157	4	17	of	of	ADP
arestyrurj-157	4	18	quantum	quantum	ADJ
arestyrurj-157	4	19	mechanics	mechanic	NOUN
arestyrurj-157	4	20	.	.	PUNCT
arestyrurj-157	5	1	although	although	SCONJ
arestyrurj-157	5	2	a	a	DET
arestyrurj-157	5	3	complete	complete	ADJ
arestyrurj-157	5	4	relativistic	relativistic	ADJ
arestyrurj-157	5	5	theory	theory	NOUN
arestyrurj-157	5	6	of	of	ADP
arestyrurj-157	5	7	bohmian	bohmian	ADJ
arestyrurj-157	5	8	mechanics	mechanic	NOUN
arestyrurj-157	5	9	has	have	VERB
arestyrurj-157	5	10	yet	yet	ADV
arestyrurj-157	5	11	to	to	PART
arestyrurj-157	5	12	be	be	AUX
arestyrurj-157	5	13	developed	develop	VERB
arestyrurj-157	5	14	,	,	PUNCT
arestyrurj-157	5	15	our	our	PRON
arestyrurj-157	5	16	work	work	NOUN
arestyrurj-157	5	17	aims	aim	VERB
arestyrurj-157	5	18	to	to	PART
arestyrurj-157	5	19	make	make	VERB
arestyrurj-157	5	20	the	the	DET
arestyrurj-157	5	21	ideas	idea	NOUN
arestyrurj-157	5	22	in	in	ADP
arestyrurj-157	5	23	this	this	DET
arestyrurj-157	5	24	theory	theory	NOUN
arestyrurj-157	5	25	more	more	ADV
arestyrurj-157	5	26	accessible	accessible	ADJ
arestyrurj-157	5	27	to	to	ADP
arestyrurj-157	5	28	a	a	DET
arestyrurj-157	5	29	wider	wide	ADJ
arestyrurj-157	5	30	audience	audience	NOUN
arestyrurj-157	5	31	.	.	PUNCT
arestyrurj-157	6	1	1	1	NUM
arestyrurj-157	6	2	introduction	introduction	NOUN
arestyrurj-157	6	3	mathematical	mathematical	ADJ
arestyrurj-157	6	4	physics	physics	NOUN
arestyrurj-157	6	5	aims	aim	VERB
arestyrurj-157	6	6	to	to	PART
arestyrurj-157	6	7	provide	provide	VERB
arestyrurj-157	6	8	logically	logically	ADV
arestyrurj-157	6	9	consistent	consistent	ADJ
arestyrurj-157	6	10	and	and	CCONJ
arestyrurj-157	6	11	mathematically	mathematically	ADV
arestyrurj-157	6	12	rigorous	rigorous	ADJ
arestyrurj-157	6	13	explanations	explanation	NOUN
arestyrurj-157	6	14	for	for	ADP
arestyrurj-157	6	15	why	why	SCONJ
arestyrurj-157	6	16	nature	nature	NOUN
arestyrurj-157	6	17	behaves	behave	VERB
arestyrurj-157	6	18	the	the	DET
arestyrurj-157	6	19	way	way	NOUN
arestyrurj-157	6	20	it	it	PRON
arestyrurj-157	6	21	does	do	VERB
arestyrurj-157	6	22	.	.	PUNCT
arestyrurj-157	7	1	currently	currently	ADV
arestyrurj-157	7	2	,	,	PUNCT
arestyrurj-157	7	3	at	at	ADP
arestyrurj-157	7	4	the	the	DET
arestyrurj-157	7	5	fundamental	fundamental	ADJ
arestyrurj-157	7	6	level	level	NOUN
arestyrurj-157	7	7	,	,	PUNCT
arestyrurj-157	7	8	there	there	PRON
arestyrurj-157	7	9	are	be	VERB
arestyrurj-157	7	10	two	two	NUM
arestyrurj-157	7	11	experimentally	experimentally	ADV
arestyrurj-157	7	12	verified	verify	VERB
arestyrurj-157	7	13	and	and	CCONJ
arestyrurj-157	7	14	mathematically	mathematically	ADV
arestyrurj-157	7	15	rigorous	rigorous	ADJ
arestyrurj-157	7	16	theories	theory	NOUN
arestyrurj-157	7	17	that	that	PRON
arestyrurj-157	7	18	seem	seem	VERB
arestyrurj-157	7	19	to	to	PART
arestyrurj-157	7	20	be	be	AUX
arestyrurj-157	7	21	in	in	ADP
arestyrurj-157	7	22	conflict	conflict	NOUN
arestyrurj-157	7	23	:	:	PUNCT
arestyrurj-157	7	24	namely	namely	ADV
arestyrurj-157	7	25	,	,	PUNCT
arestyrurj-157	7	26	quantum	quantum	ADJ
arestyrurj-157	7	27	mechanics	mechanic	NOUN
arestyrurj-157	7	28	and	and	CCONJ
arestyrurj-157	7	29	general	general	ADJ
arestyrurj-157	7	30	relativity	relativity	NOUN
arestyrurj-157	7	31	.	.	PUNCT
arestyrurj-157	8	1	while	while	SCONJ
arestyrurj-157	8	2	quantum	quantum	ADJ
arestyrurj-157	8	3	field	field	NOUN
arestyrurj-157	8	4	theory	theory	NOUN
arestyrurj-157	8	5	is	be	AUX
arestyrurj-157	8	6	,	,	PUNCT
arestyrurj-157	8	7	for	for	ADP
arestyrurj-157	8	8	all	all	DET
arestyrurj-157	8	9	practical	practical	ADJ
arestyrurj-157	8	10	purposes	purpose	NOUN
arestyrurj-157	8	11	,	,	PUNCT
arestyrurj-157	8	12	highly	highly	ADV
arestyrurj-157	8	13	successful	successful	ADJ
arestyrurj-157	8	14	at	at	ADP
arestyrurj-157	8	15	reconciling	reconcile	VERB
arestyrurj-157	8	16	quantum	quantum	ADJ
arestyrurj-157	8	17	mechanical	mechanical	ADJ
arestyrurj-157	8	18	principles	principle	NOUN
arestyrurj-157	8	19	with	with	ADP
arestyrurj-157	8	20	einstein	einstein	PROPN
arestyrurj-157	8	21	’s	’s	PART
arestyrurj-157	8	22	theory	theory	NOUN
arestyrurj-157	8	23	of	of	ADP
arestyrurj-157	8	24	light	light	NOUN
arestyrurj-157	8	25	(	(	PUNCT
arestyrurj-157	8	26	special	special	ADJ
arestyrurj-157	8	27	relativity	relativity	NOUN
arestyrurj-157	8	28	)	)	PUNCT
arestyrurj-157	8	29	,	,	PUNCT
arestyrurj-157	8	30	it	it	PRON
arestyrurj-157	8	31	is	be	AUX
arestyrurj-157	8	32	incompatible	incompatible	ADJ
arestyrurj-157	8	33	with	with	ADP
arestyrurj-157	8	34	einstein	einstein	PROPN
arestyrurj-157	8	35	’s	’s	PART
arestyrurj-157	8	36	theory	theory	NOUN
arestyrurj-157	8	37	of	of	ADP
arestyrurj-157	8	38	gravitation	gravitation	NOUN
arestyrurj-157	8	39	(	(	PUNCT
arestyrurj-157	8	40	general	general	ADJ
arestyrurj-157	8	41	relativity	relativity	NOUN
arestyrurj-157	8	42	)	)	PUNCT
arestyrurj-157	8	43	.	.	PUNCT
arestyrurj-157	9	1	it	it	PRON
arestyrurj-157	9	2	is	be	AUX
arestyrurj-157	9	3	also	also	ADV
arestyrurj-157	9	4	mathematically	mathematically	ADV
arestyrurj-157	9	5	non	non	ADJ
arestyrurj-157	9	6	-	-	ADJ
arestyrurj-157	9	7	rigorous	rigorous	ADJ
arestyrurj-157	9	8	due	due	ADP
arestyrurj-157	9	9	to	to	ADP
arestyrurj-157	9	10	its	its	PRON
arestyrurj-157	9	11	inherent	inherent	ADJ
arestyrurj-157	9	12	infinities[14	infinities[14	PROPN
arestyrurj-157	9	13	]	]	PUNCT
arestyrurj-157	9	14	.	.	PUNCT
arestyrurj-157	10	1	such	such	ADJ
arestyrurj-157	10	2	incompatibilities	incompatibility	NOUN
arestyrurj-157	10	3	and	and	CCONJ
arestyrurj-157	10	4	lack	lack	NOUN
arestyrurj-157	10	5	of	of	ADP
arestyrurj-157	10	6	rigor	rigor	NOUN
arestyrurj-157	10	7	have	have	AUX
arestyrurj-157	10	8	led	lead	VERB
arestyrurj-157	10	9	mathematical	mathematical	ADJ
arestyrurj-157	10	10	physicists	physicist	NOUN
arestyrurj-157	10	11	to	to	PART
arestyrurj-157	10	12	continue	continue	VERB
arestyrurj-157	10	13	exploring	explore	VERB
arestyrurj-157	10	14	other	other	ADJ
arestyrurj-157	10	15	theoretical	theoretical	ADJ
arestyrurj-157	10	16	frameworks	framework	NOUN
arestyrurj-157	10	17	.	.	PUNCT
arestyrurj-157	11	1	more	more	ADJ
arestyrurj-157	11	2	than	than	ADP
arestyrurj-157	11	3	half	half	DET
arestyrurj-157	11	4	a	a	DET
arestyrurj-157	11	5	century	century	NOUN
arestyrurj-157	11	6	ago	ago	ADV
arestyrurj-157	11	7	,	,	PUNCT
arestyrurj-157	11	8	louis	louis	PROPN
arestyrurj-157	11	9	de	de	X
arestyrurj-157	11	10	broglie	broglie	PROPN
arestyrurj-157	11	11	and	and	CCONJ
arestyrurj-157	11	12	david	david	PROPN
arestyrurj-157	11	13	bohm	bohm	PROPN
arestyrurj-157	11	14	formulated	formulate	VERB
arestyrurj-157	11	15	a	a	DET
arestyrurj-157	11	16	non	non	ADJ
arestyrurj-157	11	17	-	-	ADJ
arestyrurj-157	11	18	relativistic	relativistic	ADJ
arestyrurj-157	11	19	theory	theory	NOUN
arestyrurj-157	11	20	where	where	SCONJ
arestyrurj-157	11	21	elementary	elementary	ADJ
arestyrurj-157	11	22	particles	particle	NOUN
arestyrurj-157	11	23	exist	exist	VERB
arestyrurj-157	11	24	regardless	regardless	ADV
arestyrurj-157	11	25	of	of	ADP
arestyrurj-157	11	26	observations[2,4,10	observations[2,4,10	NOUN
arestyrurj-157	11	27	]	]	PUNCT
arestyrurj-157	11	28	.	.	PUNCT
arestyrurj-157	12	1	de	de	X
arestyrurj-157	12	2	broglie	broglie	PROPN
arestyrurj-157	12	3	-	-	PUNCT
arestyrurj-157	12	4	bohm	bohm	PROPN
arestyrurj-157	12	5	theory	theory	NOUN
arestyrurj-157	12	6	,	,	PUNCT
arestyrurj-157	12	7	otherwise	otherwise	ADV
arestyrurj-157	12	8	known	know	VERB
arestyrurj-157	12	9	as	as	ADP
arestyrurj-157	12	10	bohmian	bohmian	ADJ
arestyrurj-157	12	11	mechanics	mechanic	NOUN
arestyrurj-157	12	12	,	,	PUNCT
arestyrurj-157	12	13	is	be	AUX
arestyrurj-157	12	14	a	a	DET
arestyrurj-157	12	15	formulation	formulation	NOUN
arestyrurj-157	12	16	of	of	ADP
arestyrurj-157	12	17	quantum	quantum	ADJ
arestyrurj-157	12	18	mechanics	mechanic	NOUN
arestyrurj-157	12	19	in	in	ADP
arestyrurj-157	12	20	which	which	PRON
arestyrurj-157	12	21	subatomic	subatomic	ADJ
arestyrurj-157	12	22	particles	particle	NOUN
arestyrurj-157	12	23	in	in	ADP
arestyrurj-157	12	24	a	a	DET
arestyrurj-157	12	25	system	system	NOUN
arestyrurj-157	12	26	have	have	VERB
arestyrurj-157	12	27	definite	definite	ADJ
arestyrurj-157	12	28	positions	position	NOUN
arestyrurj-157	12	29	,	,	PUNCT
arestyrurj-157	12	30	guided	guide	VERB
arestyrurj-157	12	31	by	by	ADP
arestyrurj-157	12	32	the	the	DET
arestyrurj-157	12	33	wave	wave	NOUN
arestyrurj-157	12	34	function	function	NOUN
arestyrurj-157	12	35	of	of	ADP
arestyrurj-157	12	36	the	the	DET
arestyrurj-157	12	37	system[10	system[10	NOUN
arestyrurj-157	12	38	]	]	PUNCT
arestyrurj-157	12	39	.	.	PUNCT
arestyrurj-157	13	1	in	in	ADP
arestyrurj-157	13	2	one	one	NUM
arestyrurj-157	13	3	of	of	ADP
arestyrurj-157	13	4	the	the	DET
arestyrurj-157	13	5	relativistic	relativistic	ADJ
arestyrurj-157	13	6	extensions	extension	NOUN
arestyrurj-157	13	7	of	of	ADP
arestyrurj-157	13	8	this	this	DET
arestyrurj-157	13	9	theory	theory	NOUN
arestyrurj-157	13	10	,	,	PUNCT
arestyrurj-157	13	11	there	there	PRON
arestyrurj-157	13	12	is	be	VERB
arestyrurj-157	13	13	a	a	DET
arestyrurj-157	13	14	single	single	ADJ
arestyrurj-157	13	15	multi	multi	ADJ
arestyrurj-157	13	16	-	-	ADJ
arestyrurj-157	13	17	time	time	NOUN
arestyrurj-157	13	18	wave	wave	NOUN
arestyrurj-157	13	19	function	function	NOUN
arestyrurj-157	13	20	originally	originally	ADV
arestyrurj-157	13	21	proposed	propose	VERB
arestyrurj-157	13	22	by	by	ADP
arestyrurj-157	13	23	dirac	dirac	NOUN
arestyrurj-157	13	24	,	,	PUNCT
arestyrurj-157	13	25	defined	define	VERB
arestyrurj-157	13	26	on	on	ADP
arestyrurj-157	13	27	the	the	DET
arestyrurj-157	13	28	configuration	configuration	NOUN
arestyrurj-157	13	29	space	space	NOUN
arestyrurj-157	13	30	of	of	ADP
arestyrurj-157	13	31	the	the	DET
arestyrurj-157	13	32	system	system	NOUN
arestyrurj-157	13	33	that	that	PRON
arestyrurj-157	13	34	guides	guide	VERB
arestyrurj-157	13	35	the	the	DET
arestyrurj-157	13	36	motion	motion	NOUN
arestyrurj-157	13	37	of	of	ADP
arestyrurj-157	13	38	all	all	DET
arestyrurj-157	13	39	the	the	DET
arestyrurj-157	13	40	particles[5	particles[5	NOUN
arestyrurj-157	13	41	]	]	PUNCT
arestyrurj-157	13	42	.	.	PUNCT
arestyrurj-157	14	1	some	some	DET
arestyrurj-157	14	2	researchers	researcher	NOUN
arestyrurj-157	14	3	believe	believe	VERB
arestyrurj-157	14	4	the	the	DET
arestyrurj-157	14	5	photon	photon	NOUN
arestyrurj-157	14	6	wave	wave	NOUN
arestyrurj-157	14	7	function	function	NOUN
arestyrurj-157	14	8	was	be	AUX
arestyrurj-157	14	9	never	never	ADV
arestyrurj-157	14	10	explored	explore	VERB
arestyrurj-157	14	11	due	due	ADJ
arestyrurj-157	14	12	to	to	ADP
arestyrurj-157	14	13	historical	historical	ADJ
arestyrurj-157	14	14	reasons	reason	NOUN
arestyrurj-157	14	15	:	:	PUNCT
arestyrurj-157	14	16	dirac	dirac	NOUN
arestyrurj-157	14	17	completed	complete	VERB
arestyrurj-157	14	18	his	his	PRON
arestyrurj-157	14	19	quantization	quantization	NOUN
arestyrurj-157	14	20	of	of	ADP
arestyrurj-157	14	21	the	the	DET
arestyrurj-157	14	22	electromagnetic	electromagnetic	ADJ
arestyrurj-157	14	23	field	field	NOUN
arestyrurj-157	14	24	prior	prior	ADV
arestyrurj-157	14	25	to	to	ADP
arestyrurj-157	14	26	discovering	discover	VERB
arestyrurj-157	14	27	his	his	PRON
arestyrurj-157	14	28	relativistic	relativistic	ADJ
arestyrurj-157	14	29	electron	electron	NOUN
arestyrurj-157	14	30	wave	wave	NOUN
arestyrurj-157	14	31	equation	equation	NOUN
arestyrurj-157	14	32	,	,	PUNCT
arestyrurj-157	14	33	and	and	CCONJ
arestyrurj-157	14	34	the	the	DET
arestyrurj-157	14	35	world	world	NOUN
arestyrurj-157	14	36	of	of	ADP
arestyrurj-157	14	37	research	research	NOUN
arestyrurj-157	14	38	acted	act	VERB
arestyrurj-157	14	39	on	on	ADP
arestyrurj-157	14	40	the	the	DET
arestyrurj-157	14	41	first	first	ADJ
arestyrurj-157	14	42	discovery	discovery	NOUN
arestyrurj-157	14	43	more	more	ADJ
arestyrurj-157	14	44	than	than	ADP
arestyrurj-157	14	45	the	the	DET
arestyrurj-157	14	46	second[1,5,6	second[1,5,6	NOUN
arestyrurj-157	14	47	]	]	PUNCT
arestyrurj-157	14	48	.	.	PUNCT
arestyrurj-157	15	1	goldstein	goldstein	PROPN
arestyrurj-157	15	2	and	and	CCONJ
arestyrurj-157	15	3	others	other	NOUN
arestyrurj-157	15	4	have	have	AUX
arestyrurj-157	15	5	developed	develop	VERB
arestyrurj-157	15	6	non	non	ADJ
arestyrurj-157	15	7	-	-	ADJ
arestyrurj-157	15	8	relativistic	relativistic	ADJ
arestyrurj-157	15	9	bohmian	bohmian	ADJ
arestyrurj-157	15	10	mechanics	mechanic	NOUN
arestyrurj-157	15	11	in	in	ADP
arestyrurj-157	15	12	great	great	ADJ
arestyrurj-157	15	13	mathematical	mathematical	ADJ
arestyrurj-157	15	14	detail[9,10	detail[9,10	PROPN
arestyrurj-157	15	15	]	]	PUNCT
arestyrurj-157	15	16	.	.	PUNCT
arestyrurj-157	16	1	the	the	DET
arestyrurj-157	16	2	remaining	remain	VERB
arestyrurj-157	16	3	challenge	challenge	NOUN
arestyrurj-157	16	4	is	be	AUX
arestyrurj-157	16	5	developing	develop	VERB
arestyrurj-157	16	6	a	a	DET
arestyrurj-157	16	7	fully	fully	ADV
arestyrurj-157	16	8	relativistic	relativistic	ADJ
arestyrurj-157	16	9	bohmian	bohmian	ADJ
arestyrurj-157	16	10	mechanical	mechanical	ADJ
arestyrurj-157	16	11	system	system	NOUN
arestyrurj-157	16	12	with	with	ADP
arestyrurj-157	16	13	a	a	DET
arestyrurj-157	16	14	fixed	fix	VERB
arestyrurj-157	16	15	number	number	NOUN
arestyrurj-157	16	16	of	of	ADP
arestyrurj-157	16	17	particles	particle	NOUN
arestyrurj-157	16	18	.	.	PUNCT
arestyrurj-157	17	1	some	some	PRON
arestyrurj-157	17	2	have	have	AUX
arestyrurj-157	17	3	claimed	claim	VERB
arestyrurj-157	17	4	that	that	SCONJ
arestyrurj-157	17	5	this	this	DET
arestyrurj-157	17	6	task	task	NOUN
arestyrurj-157	17	7	is	be	AUX
arestyrurj-157	17	8	downright	downright	X
arestyrurj-157	17	9	impossible[15	impossible[15	NOUN
arestyrurj-157	17	10	]	]	PUNCT
arestyrurj-157	17	11	.	.	PUNCT
arestyrurj-157	18	1	nevertheless	nevertheless	ADV
arestyrurj-157	18	2	,	,	PUNCT
arestyrurj-157	18	3	kiessling	kiessling	NOUN
arestyrurj-157	18	4	and	and	CCONJ
arestyrurj-157	18	5	tahvildar	tahvildar	NOUN
arestyrurj-157	18	6	-	-	PUNCT
arestyrurj-157	18	7	zadeh	zadeh	PROPN
arestyrurj-157	18	8	successfully	successfully	ADV
arestyrurj-157	18	9	developed	develop	VERB
arestyrurj-157	18	10	a	a	DET
arestyrurj-157	18	11	relativistic	relativistic	ADJ
arestyrurj-157	18	12	bohmian	bohmian	ADJ
arestyrurj-157	18	13	theory	theory	NOUN
arestyrurj-157	18	14	for	for	ADP
arestyrurj-157	18	15	a	a	DET
arestyrurj-157	18	16	single	single	ADJ
arestyrurj-157	18	17	photon	photon	NOUN
arestyrurj-157	18	18	and	and	CCONJ
arestyrurj-157	18	19	,	,	PUNCT
arestyrurj-157	18	20	together	together	ADV
arestyrurj-157	18	21	with	with	ADP
arestyrurj-157	18	22	lienert	lienert	ADJ
arestyrurj-157	18	23	,	,	PUNCT
arestyrurj-157	18	24	they	they	PRON
arestyrurj-157	18	25	have	have	AUX
arestyrurj-157	18	26	developed	develop	VERB
arestyrurj-157	18	27	an	an	DET
arestyrurj-157	18	28	interacting	interact	VERB
arestyrurj-157	18	29	electron	electron	NOUN
arestyrurj-157	18	30	-	-	PUNCT
arestyrurj-157	18	31	photon	photon	NOUN
arestyrurj-157	18	32	theory	theory	NOUN
arestyrurj-157	18	33	in	in	ADP
arestyrurj-157	18	34	one	one	NUM
arestyrurj-157	18	35	space	space	NOUN
arestyrurj-157	18	36	dimension[11,12	dimension[11,12	NOUN
arestyrurj-157	18	37	]	]	PUNCT
arestyrurj-157	18	38	.	.	PUNCT
arestyrurj-157	19	1	in	in	ADP
arestyrurj-157	19	2	this	this	DET
arestyrurj-157	19	3	paper	paper	NOUN
arestyrurj-157	19	4	,	,	PUNCT
arestyrurj-157	19	5	we	we	PRON
arestyrurj-157	19	6	explore	explore	VERB
arestyrurj-157	19	7	whether	whether	SCONJ
arestyrurj-157	19	8	their	their	PRON
arestyrurj-157	19	9	theory	theory	NOUN
arestyrurj-157	19	10	is	be	AUX
arestyrurj-157	19	11	applicable	applicable	ADJ
arestyrurj-157	19	12	to	to	ADP
arestyrurj-157	19	13	the	the	DET
arestyrurj-157	19	14	study	study	NOUN
arestyrurj-157	19	15	of	of	ADP
arestyrurj-157	19	16	compton	compton	PROPN
arestyrurj-157	19	17	scattering	scattering	PROPN
arestyrurj-157	19	18	.	.	PUNCT
arestyrurj-157	20	1	arthur	arthur	PROPN
arestyrurj-157	20	2	compton	compton	PROPN
arestyrurj-157	20	3	discovered	discover	VERB
arestyrurj-157	20	4	,	,	PUNCT
arestyrurj-157	20	5	ninety	ninety	NUM
arestyrurj-157	20	6	-	-	PUNCT
arestyrurj-157	20	7	six	six	NUM
arestyrurj-157	20	8	years	year	NOUN
arestyrurj-157	20	9	ago	ago	ADV
arestyrurj-157	20	10	,	,	PUNCT
arestyrurj-157	20	11	that	that	SCONJ
arestyrurj-157	20	12	when	when	SCONJ
arestyrurj-157	20	13	x	x	NOUN
arestyrurj-157	20	14	-	-	NOUN
arestyrurj-157	20	15	rays	ray	NOUN
arestyrurj-157	20	16	interact	interact	VERB
arestyrurj-157	20	17	with	with	ADP
arestyrurj-157	20	18	a	a	DET
arestyrurj-157	20	19	graphite	graphite	NOUN
arestyrurj-157	20	20	plate	plate	NOUN
arestyrurj-157	20	21	,	,	PUNCT
arestyrurj-157	20	22	the	the	DET
arestyrurj-157	20	23	scattered	scatter	VERB
arestyrurj-157	20	24	rays	ray	NOUN
arestyrurj-157	20	25	have	have	VERB
arestyrurj-157	20	26	lower	low	ADJ
arestyrurj-157	20	27	frequencies	frequency	NOUN
arestyrurj-157	20	28	than	than	ADP
arestyrurj-157	20	29	the	the	DET
arestyrurj-157	20	30	incident	incident	NOUN
arestyrurj-157	20	31	ones	one	NOUN
arestyrurj-157	20	32	and	and	CCONJ
arestyrurj-157	20	33	the	the	DET
arestyrurj-157	20	34	difference	difference	NOUN
arestyrurj-157	20	35	in	in	ADP
arestyrurj-157	20	36	the	the	DET
arestyrurj-157	20	37	energy	energy	NOUN
arestyrurj-157	20	38	of	of	ADP
arestyrurj-157	20	39	the	the	DET
arestyrurj-157	20	40	“	"	PUNCT
arestyrurj-157	20	41	x	x	ADJ
arestyrurj-157	20	42	-	-	NOUN
arestyrurj-157	20	43	ray	ray	NOUN
arestyrurj-157	20	44	quanta	quanta	PROPN
arestyrurj-157	20	45	,	,	PUNCT
arestyrurj-157	20	46	”	"	PUNCT
arestyrurj-157	20	47	now	now	ADV
arestyrurj-157	20	48	called	call	VERB
arestyrurj-157	20	49	photons	photon	NOUN
arestyrurj-157	20	50	,	,	PUNCT
arestyrurj-157	20	51	turns	turn	VERB
arestyrurj-157	20	52	into	into	ADP
arestyrurj-157	20	53	kinetic	kinetic	ADJ
arestyrurj-157	20	54	energy	energy	NOUN
arestyrurj-157	20	55	of	of	ADP
arestyrurj-157	20	56	the	the	DET
arestyrurj-157	20	57	electrons	electron	NOUN
arestyrurj-157	20	58	on	on	ADP
arestyrurj-157	20	59	the	the	DET
arestyrurj-157	20	60	surface	surface	NOUN
arestyrurj-157	20	61	of	of	ADP
arestyrurj-157	20	62	the	the	DET
arestyrurj-157	20	63	material[3	material[3	NOUN
arestyrurj-157	20	64	]	]	PUNCT
arestyrurj-157	20	65	.	.	PUNCT
arestyrurj-157	21	1	with	with	ADP
arestyrurj-157	21	2	this	this	DET
arestyrurj-157	21	3	experiment	experiment	NOUN
arestyrurj-157	21	4	,	,	PUNCT
arestyrurj-157	21	5	compton	compton	PROPN
arestyrurj-157	21	6	provided	provide	VERB
arestyrurj-157	21	7	evidence	evidence	NOUN
arestyrurj-157	21	8	for	for	ADP
arestyrurj-157	21	9	einstein	einstein	PROPN
arestyrurj-157	21	10	’s	’s	PART
arestyrurj-157	21	11	1905	1905	NUM
arestyrurj-157	21	12	theory	theory	NOUN
arestyrurj-157	21	13	,	,	PUNCT
arestyrurj-157	21	14	which	which	PRON
arestyrurj-157	21	15	stated	state	VERB
arestyrurj-157	21	16	that	that	SCONJ
arestyrurj-157	21	17	aresty	aresty	PROPN
arestyrurj-157	21	18	rutgers	rutgers	PROPN
arestyrurj-157	21	19	undergraduate	undergraduate	PROPN
arestyrurj-157	21	20	research	research	PROPN
arestyrurj-157	21	21	journal	journal	PROPN
arestyrurj-157	21	22	,	,	PUNCT
arestyrurj-157	21	23	volume	volume	NOUN
arestyrurj-157	21	24	i	i	PRON
arestyrurj-157	21	25	,	,	PUNCT
arestyrurj-157	21	26	issue	issue	NOUN
arestyrurj-157	21	27	ii	ii	NOUN
arestyrurj-157	21	28	light	light	NOUN
arestyrurj-157	21	29	behaves	behave	VERB
arestyrurj-157	21	30	as	as	ADP
arestyrurj-157	21	31	particles	particle	NOUN
arestyrurj-157	21	32	.	.	PUNCT
arestyrurj-157	22	1	we	we	PRON
arestyrurj-157	22	2	now	now	ADV
arestyrurj-157	22	3	know	know	VERB
arestyrurj-157	22	4	this	this	DET
arestyrurj-157	22	5	phenomenon	phenomenon	NOUN
arestyrurj-157	22	6	as	as	ADP
arestyrurj-157	22	7	compton	compton	PROPN
arestyrurj-157	22	8	scattering	scattering	NOUN
arestyrurj-157	22	9	.	.	PUNCT
arestyrurj-157	23	1	quantum	quantum	ADJ
arestyrurj-157	23	2	field	field	NOUN
arestyrurj-157	23	3	theory	theory	NOUN
arestyrurj-157	23	4	provides	provide	VERB
arestyrurj-157	23	5	us	we	PRON
arestyrurj-157	23	6	with	with	ADP
arestyrurj-157	23	7	the	the	DET
arestyrurj-157	23	8	following	follow	VERB
arestyrurj-157	23	9	narrative	narrative	NOUN
arestyrurj-157	23	10	about	about	ADP
arestyrurj-157	23	11	what	what	PRON
arestyrurj-157	23	12	happens	happen	VERB
arestyrurj-157	23	13	during	during	ADP
arestyrurj-157	23	14	the	the	DET
arestyrurj-157	23	15	interaction	interaction	NOUN
arestyrurj-157	23	16	:	:	PUNCT
arestyrurj-157	23	17	just	just	ADV
arestyrurj-157	23	18	before	before	SCONJ
arestyrurj-157	23	19	the	the	DET
arestyrurj-157	23	20	photon	photon	NOUN
arestyrurj-157	23	21	smashes	smash	VERB
arestyrurj-157	23	22	into	into	ADP
arestyrurj-157	23	23	the	the	DET
arestyrurj-157	23	24	electron	electron	NOUN
arestyrurj-157	23	25	,	,	PUNCT
arestyrurj-157	23	26	it	it	PRON
arestyrurj-157	23	27	abruptly	abruptly	ADV
arestyrurj-157	23	28	vanishes	vanish	VERB
arestyrurj-157	23	29	into	into	ADP
arestyrurj-157	23	30	nothing	nothing	PRON
arestyrurj-157	23	31	.	.	PUNCT
arestyrurj-157	24	1	at	at	ADP
arestyrurj-157	24	2	the	the	DET
arestyrurj-157	24	3	same	same	ADJ
arestyrurj-157	24	4	moment	moment	NOUN
arestyrurj-157	24	5	,	,	PUNCT
arestyrurj-157	24	6	a	a	DET
arestyrurj-157	24	7	new	new	ADJ
arestyrurj-157	24	8	photon	photon	NOUN
arestyrurj-157	24	9	with	with	ADP
arestyrurj-157	24	10	a	a	DET
arestyrurj-157	24	11	different	different	ADJ
arestyrurj-157	24	12	frequency	frequency	NOUN
arestyrurj-157	24	13	emerges	emerge	VERB
arestyrurj-157	24	14	next	next	ADV
arestyrurj-157	24	15	to	to	ADP
arestyrurj-157	24	16	the	the	DET
arestyrurj-157	24	17	electron	electron	NOUN
arestyrurj-157	24	18	out	out	ADP
arestyrurj-157	24	19	of	of	ADP
arestyrurj-157	24	20	thin	thin	ADJ
arestyrurj-157	24	21	air	air	NOUN
arestyrurj-157	24	22	,	,	PUNCT
arestyrurj-157	24	23	and	and	CCONJ
arestyrurj-157	24	24	the	the	DET
arestyrurj-157	24	25	two	two	NUM
arestyrurj-157	24	26	depart	depart	NOUN
arestyrurj-157	24	27	as	as	SCONJ
arestyrurj-157	24	28	if	if	SCONJ
arestyrurj-157	24	29	they	they	PRON
arestyrurj-157	24	30	have	have	AUX
arestyrurj-157	24	31	just	just	ADV
arestyrurj-157	24	32	collided	collide	VERB
arestyrurj-157	24	33	.	.	PUNCT
arestyrurj-157	25	1	we	we	PRON
arestyrurj-157	25	2	would	would	AUX
arestyrurj-157	25	3	like	like	VERB
arestyrurj-157	25	4	to	to	PART
arestyrurj-157	25	5	explore	explore	VERB
arestyrurj-157	25	6	a	a	DET
arestyrurj-157	25	7	different	different	ADJ
arestyrurj-157	25	8	narrative	narrative	NOUN
arestyrurj-157	25	9	of	of	ADP
arestyrurj-157	25	10	a	a	DET
arestyrurj-157	25	11	photon	photon	NOUN
arestyrurj-157	25	12	-	-	PUNCT
arestyrurj-157	25	13	electron	electron	NOUN
arestyrurj-157	25	14	collision	collision	NOUN
arestyrurj-157	25	15	based	base	VERB
arestyrurj-157	25	16	on	on	ADP
arestyrurj-157	25	17	bohmian	bohmian	ADJ
arestyrurj-157	25	18	principles	principle	NOUN
arestyrurj-157	25	19	,	,	PUNCT
arestyrurj-157	25	20	as	as	SCONJ
arestyrurj-157	25	21	provided	provide	VERB
arestyrurj-157	25	22	in	in	ADP
arestyrurj-157	25	23	the	the	DET
arestyrurj-157	25	24	paper	paper	NOUN
arestyrurj-157	25	25	by	by	ADP
arestyrurj-157	25	26	kiessling	kiessle	VERB
arestyrurj-157	25	27	et	et	PRON
arestyrurj-157	25	28	al	al	PROPN
arestyrurj-157	26	1	[	[	X
arestyrurj-157	26	2	11	11	NUM
arestyrurj-157	26	3	]	]	PUNCT
arestyrurj-157	26	4	.	.	PUNCT
arestyrurj-157	27	1	the	the	DET
arestyrurj-157	27	2	novelty	novelty	NOUN
arestyrurj-157	27	3	of	of	ADP
arestyrurj-157	27	4	our	our	PRON
arestyrurj-157	27	5	work	work	NOUN
arestyrurj-157	27	6	lies	lie	VERB
arestyrurj-157	27	7	in	in	ADP
arestyrurj-157	27	8	the	the	DET
arestyrurj-157	27	9	actualization	actualization	NOUN
arestyrurj-157	27	10	of	of	ADP
arestyrurj-157	27	11	previous	previous	ADJ
arestyrurj-157	27	12	theory	theory	NOUN
arestyrurj-157	27	13	via	via	ADP
arestyrurj-157	27	14	our	our	PRON
arestyrurj-157	27	15	modeling	modeling	NOUN
arestyrurj-157	27	16	of	of	ADP
arestyrurj-157	27	17	compton	compton	PROPN
arestyrurj-157	27	18	scattering	scattering	NOUN
arestyrurj-157	27	19	using	use	VERB
arestyrurj-157	27	20	matlab	matlab	PROPN
arestyrurj-157	27	21	software[11,13	software[11,13	NOUN
arestyrurj-157	27	22	]	]	PUNCT
arestyrurj-157	27	23	.	.	PUNCT
arestyrurj-157	28	1	furthermore	furthermore	ADV
arestyrurj-157	28	2	,	,	PUNCT
arestyrurj-157	28	3	we	we	PRON
arestyrurj-157	28	4	are	be	AUX
arestyrurj-157	28	5	the	the	DET
arestyrurj-157	28	6	first	first	ADJ
arestyrurj-157	28	7	to	to	PART
arestyrurj-157	28	8	use	use	VERB
arestyrurj-157	28	9	this	this	DET
arestyrurj-157	28	10	novel	novel	ADJ
arestyrurj-157	28	11	theoretical	theoretical	ADJ
arestyrurj-157	28	12	framework	framework	NOUN
arestyrurj-157	28	13	to	to	PART
arestyrurj-157	28	14	analyze	analyze	VERB
arestyrurj-157	28	15	the	the	DET
arestyrurj-157	28	16	effects	effect	NOUN
arestyrurj-157	28	17	of	of	ADP
arestyrurj-157	28	18	changing	change	VERB
arestyrurj-157	28	19	the	the	DET
arestyrurj-157	28	20	momentum	momentum	NOUN
arestyrurj-157	28	21	of	of	ADP
arestyrurj-157	28	22	the	the	DET
arestyrurj-157	28	23	incoming	incoming	ADJ
arestyrurj-157	28	24	photon	photon	NOUN
arestyrurj-157	28	25	on	on	ADP
arestyrurj-157	28	26	the	the	DET
arestyrurj-157	28	27	trajectories	trajectory	NOUN
arestyrurj-157	28	28	of	of	ADP
arestyrurj-157	28	29	the	the	DET
arestyrurj-157	28	30	scattered	scatter	VERB
arestyrurj-157	28	31	photon	photon	NOUN
arestyrurj-157	28	32	and	and	CCONJ
arestyrurj-157	28	33	electron	electron	NOUN
arestyrurj-157	28	34	.	.	PUNCT
arestyrurj-157	29	1	we	we	PRON
arestyrurj-157	29	2	are	be	AUX
arestyrurj-157	29	3	also	also	ADV
arestyrurj-157	29	4	the	the	DET
arestyrurj-157	29	5	first	first	ADJ
arestyrurj-157	29	6	to	to	PART
arestyrurj-157	29	7	investigate	investigate	VERB
arestyrurj-157	29	8	the	the	DET
arestyrurj-157	29	9	conservation	conservation	NOUN
arestyrurj-157	29	10	of	of	ADP
arestyrurj-157	29	11	momentum	momentum	NOUN
arestyrurj-157	29	12	and	and	CCONJ
arestyrurj-157	29	13	applicability	applicability	NOUN
arestyrurj-157	29	14	of	of	ADP
arestyrurj-157	29	15	compton	compton	PROPN
arestyrurj-157	29	16	’s	’s	PART
arestyrurj-157	29	17	scattering	scatter	VERB
arestyrurj-157	29	18	formula	formula	NOUN
arestyrurj-157	29	19	in	in	ADP
arestyrurj-157	29	20	this	this	DET
arestyrurj-157	29	21	system	system	NOUN
arestyrurj-157	29	22	.	.	PUNCT
arestyrurj-157	30	1	the	the	DET
arestyrurj-157	30	2	framework	framework	NOUN
arestyrurj-157	30	3	we	we	PRON
arestyrurj-157	30	4	use	use	VERB
arestyrurj-157	30	5	is	be	AUX
arestyrurj-157	30	6	compatible	compatible	ADJ
arestyrurj-157	30	7	with	with	ADP
arestyrurj-157	30	8	many	many	ADJ
arestyrurj-157	30	9	experimentally	experimentally	ADV
arestyrurj-157	30	10	verified	verify	VERB
arestyrurj-157	30	11	theories	theory	NOUN
arestyrurj-157	30	12	in	in	ADP
arestyrurj-157	30	13	physics	physics	NOUN
arestyrurj-157	30	14	,	,	PUNCT
arestyrurj-157	30	15	thus	thus	ADV
arestyrurj-157	30	16	we	we	PRON
arestyrurj-157	30	17	hope	hope	VERB
arestyrurj-157	30	18	that	that	SCONJ
arestyrurj-157	30	19	our	our	PRON
arestyrurj-157	30	20	work	work	NOUN
arestyrurj-157	30	21	will	will	AUX
arestyrurj-157	30	22	bring	bring	VERB
arestyrurj-157	30	23	us	we	PRON
arestyrurj-157	30	24	one	one	NUM
arestyrurj-157	30	25	step	step	NOUN
arestyrurj-157	30	26	closer	close	ADV
arestyrurj-157	30	27	to	to	ADP
arestyrurj-157	30	28	a	a	DET
arestyrurj-157	30	29	mathematically	mathematically	ADV
arestyrurj-157	30	30	rigorous	rigorous	ADJ
arestyrurj-157	30	31	understanding	understanding	NOUN
arestyrurj-157	30	32	of	of	ADP
arestyrurj-157	30	33	the	the	DET
arestyrurj-157	30	34	world	world	NOUN
arestyrurj-157	30	35	around	around	ADP
arestyrurj-157	30	36	us	we	PRON
arestyrurj-157	30	37	on	on	ADP
arestyrurj-157	30	38	the	the	DET
arestyrurj-157	30	39	subatomic	subatomic	NOUN
arestyrurj-157	30	40	level[11	level[11	PROPN
arestyrurj-157	30	41	]	]	PUNCT
arestyrurj-157	30	42	.	.	PUNCT
arestyrurj-157	31	1	2	2	NUM
arestyrurj-157	31	2	methodology	methodology	NOUN
arestyrurj-157	31	3	in	in	ADP
arestyrurj-157	31	4	this	this	DET
arestyrurj-157	31	5	paper	paper	NOUN
arestyrurj-157	31	6	,	,	PUNCT
arestyrurj-157	31	7	we	we	PRON
arestyrurj-157	31	8	treat	treat	VERB
arestyrurj-157	31	9	both	both	CCONJ
arestyrurj-157	31	10	the	the	DET
arestyrurj-157	31	11	electron	electron	NOUN
arestyrurj-157	31	12	and	and	CCONJ
arestyrurj-157	31	13	the	the	DET
arestyrurj-157	31	14	photon	photon	NOUN
arestyrurj-157	31	15	as	as	ADP
arestyrurj-157	31	16	relativistic	relativistic	ADJ
arestyrurj-157	31	17	quantum	quantum	NOUN
arestyrurj-157	31	18	objects	object	NOUN
arestyrurj-157	31	19	.	.	PUNCT
arestyrurj-157	32	1	first	first	ADV
arestyrurj-157	32	2	,	,	PUNCT
arestyrurj-157	32	3	we	we	PRON
arestyrurj-157	32	4	model	model	VERB
arestyrurj-157	32	5	the	the	DET
arestyrurj-157	32	6	trajectories	trajectory	NOUN
arestyrurj-157	32	7	of	of	ADP
arestyrurj-157	32	8	a	a	DET
arestyrurj-157	32	9	single	single	ADJ
arestyrurj-157	32	10	photon	photon	NOUN
arestyrurj-157	32	11	in	in	ADP
arestyrurj-157	32	12	one	one	NUM
arestyrurj-157	32	13	space	space	NOUN
arestyrurj-157	32	14	dimension	dimension	NOUN
arestyrurj-157	32	15	using	use	VERB
arestyrurj-157	32	16	the	the	DET
arestyrurj-157	32	17	photon	photon	NOUN
arestyrurj-157	32	18	wave	wave	NOUN
arestyrurj-157	32	19	function	function	NOUN
arestyrurj-157	32	20	proposed	propose	VERB
arestyrurj-157	32	21	by	by	ADP
arestyrurj-157	32	22	kiessling	kiessle	VERB
arestyrurj-157	32	23	and	and	CCONJ
arestyrurj-157	32	24	tahvildar	tahvildar	NOUN
arestyrurj-157	32	25	-	-	PUNCT
arestyrurj-157	32	26	zadeh[12	zadeh[12	NOUN
arestyrurj-157	32	27	]	]	X
arestyrurj-157	32	28	.	.	PUNCT
arestyrurj-157	33	1	next	next	ADV
arestyrurj-157	33	2	,	,	PUNCT
arestyrurj-157	33	3	we	we	PRON
arestyrurj-157	33	4	do	do	VERB
arestyrurj-157	33	5	the	the	DET
arestyrurj-157	33	6	same	same	ADJ
arestyrurj-157	33	7	for	for	ADP
arestyrurj-157	33	8	a	a	DET
arestyrurj-157	33	9	single	single	ADJ
arestyrurj-157	33	10	electron	electron	NOUN
arestyrurj-157	33	11	using	use	VERB
arestyrurj-157	33	12	dirac	dirac	NOUN
arestyrurj-157	33	13	’s	’s	PART
arestyrurj-157	33	14	relativistic	relativistic	ADJ
arestyrurj-157	33	15	wave	wave	NOUN
arestyrurj-157	33	16	equation	equation	NOUN
arestyrurj-157	33	17	for	for	ADP
arestyrurj-157	33	18	the	the	DET
arestyrurj-157	33	19	electron[6	electron[6	NOUN
arestyrurj-157	33	20	]	]	PUNCT
arestyrurj-157	33	21	.	.	PUNCT
arestyrurj-157	34	1	we	we	PRON
arestyrurj-157	34	2	then	then	ADV
arestyrurj-157	34	3	examine	examine	VERB
arestyrurj-157	34	4	the	the	DET
arestyrurj-157	34	5	two	two	NUM
arestyrurj-157	34	6	-	-	PUNCT
arestyrurj-157	34	7	body	body	NOUN
arestyrurj-157	34	8	quantum	quantum	NOUN
arestyrurj-157	34	9	-	-	ADJ
arestyrurj-157	34	10	mechanical	mechanical	ADJ
arestyrurj-157	34	11	system	system	NOUN
arestyrurj-157	34	12	of	of	ADP
arestyrurj-157	34	13	a	a	DET
arestyrurj-157	34	14	photon	photon	NOUN
arestyrurj-157	34	15	and	and	CCONJ
arestyrurj-157	34	16	an	an	DET
arestyrurj-157	34	17	electron	electron	NOUN
arestyrurj-157	34	18	,	,	PUNCT
arestyrurj-157	34	19	first	first	ADV
arestyrurj-157	34	20	assuming	assume	VERB
arestyrurj-157	34	21	that	that	SCONJ
arestyrurj-157	34	22	the	the	DET
arestyrurj-157	34	23	two	two	NUM
arestyrurj-157	34	24	do	do	AUX
arestyrurj-157	34	25	not	not	PART
arestyrurj-157	34	26	interact	interact	VERB
arestyrurj-157	34	27	,	,	PUNCT
arestyrurj-157	34	28	and	and	CCONJ
arestyrurj-157	34	29	then	then	ADV
arestyrurj-157	34	30	implementing	implement	VERB
arestyrurj-157	34	31	the	the	DET
arestyrurj-157	34	32	photon	photon	NOUN
arestyrurj-157	34	33	-	-	PUNCT
arestyrurj-157	34	34	electron	electron	NOUN
arestyrurj-157	34	35	interaction	interaction	NOUN
arestyrurj-157	34	36	through	through	ADP
arestyrurj-157	34	37	a	a	DET
arestyrurj-157	34	38	boundary	boundary	ADJ
arestyrurj-157	34	39	condition	condition	NOUN
arestyrurj-157	34	40	,	,	PUNCT
arestyrurj-157	34	41	as	as	ADP
arestyrurj-157	34	42	in	in	ADP
arestyrurj-157	34	43	the	the	DET
arestyrurj-157	34	44	paper	paper	NOUN
arestyrurj-157	34	45	by	by	ADP
arestyrurj-157	34	46	kiessling	kiessle	VERB
arestyrurj-157	34	47	et	et	PRON
arestyrurj-157	34	48	al[11	al[11	PROPN
arestyrurj-157	34	49	]	]	PUNCT
arestyrurj-157	34	50	.	.	PUNCT
arestyrurj-157	35	1	afterwards	afterwards	ADV
arestyrurj-157	35	2	,	,	PUNCT
arestyrurj-157	35	3	we	we	PRON
arestyrurj-157	35	4	review	review	VERB
arestyrurj-157	35	5	the	the	DET
arestyrurj-157	35	6	method	method	NOUN
arestyrurj-157	35	7	compton	compton	PROPN
arestyrurj-157	35	8	used	use	VERB
arestyrurj-157	35	9	to	to	PART
arestyrurj-157	35	10	compute	compute	VERB
arestyrurj-157	35	11	the	the	DET
arestyrurj-157	35	12	formula	formula	NOUN
arestyrurj-157	35	13	for	for	ADP
arestyrurj-157	35	14	the	the	DET
arestyrurj-157	35	15	scattering	scatter	VERB
arestyrurj-157	35	16	angle	angle	NOUN
arestyrurj-157	35	17	in	in	ADP
arestyrurj-157	35	18	his	his	PRON
arestyrurj-157	35	19	experiment	experiment	NOUN
arestyrurj-157	35	20	.	.	PUNCT
arestyrurj-157	36	1	we	we	PRON
arestyrurj-157	36	2	then	then	ADV
arestyrurj-157	36	3	compare	compare	VERB
arestyrurj-157	36	4	compton	compton	PROPN
arestyrurj-157	36	5	’s	’s	PART
arestyrurj-157	36	6	predicted	predict	VERB
arestyrurj-157	36	7	value	value	NOUN
arestyrurj-157	36	8	for	for	ADP
arestyrurj-157	36	9	momentum	momentum	NOUN
arestyrurj-157	36	10	gain	gain	NOUN
arestyrurj-157	36	11	of	of	ADP
arestyrurj-157	36	12	the	the	DET
arestyrurj-157	36	13	electron	electron	NOUN
arestyrurj-157	36	14	with	with	ADP
arestyrurj-157	36	15	our	our	PRON
arestyrurj-157	36	16	computed	compute	VERB
arestyrurj-157	36	17	values	value	NOUN
arestyrurj-157	36	18	for	for	ADP
arestyrurj-157	36	19	this	this	DET
arestyrurj-157	36	20	quantity	quantity	NOUN
arestyrurj-157	36	21	based	base	VERB
arestyrurj-157	36	22	on	on	ADP
arestyrurj-157	36	23	our	our	PRON
arestyrurj-157	36	24	numerical	numerical	ADJ
arestyrurj-157	36	25	solutions	solution	NOUN
arestyrurj-157	36	26	of	of	ADP
arestyrurj-157	36	27	the	the	DET
arestyrurj-157	36	28	guiding	guide	VERB
arestyrurj-157	36	29	equations	equation	NOUN
arestyrurj-157	36	30	for	for	ADP
arestyrurj-157	36	31	the	the	DET
arestyrurj-157	36	32	photon	photon	NOUN
arestyrurj-157	36	33	and	and	CCONJ
arestyrurj-157	36	34	the	the	DET
arestyrurj-157	36	35	electron	electron	NOUN
arestyrurj-157	36	36	.	.	PUNCT
arestyrurj-157	37	1	we	we	PRON
arestyrurj-157	37	2	then	then	ADV
arestyrurj-157	37	3	remark	remark	VERB
arestyrurj-157	37	4	on	on	ADP
arestyrurj-157	37	5	the	the	DET
arestyrurj-157	37	6	obstacles	obstacle	NOUN
arestyrurj-157	37	7	that	that	PRON
arestyrurj-157	37	8	one	one	NUM
arestyrurj-157	37	9	needs	need	VERB
arestyrurj-157	37	10	to	to	PART
arestyrurj-157	37	11	overcome	overcome	VERB
arestyrurj-157	37	12	if	if	SCONJ
arestyrurj-157	37	13	one	one	NUM
arestyrurj-157	37	14	is	be	AUX
arestyrurj-157	37	15	to	to	PART
arestyrurj-157	37	16	rigorously	rigorously	ADV
arestyrurj-157	37	17	derive	derive	VERB
arestyrurj-157	37	18	such	such	DET
arestyrurj-157	37	19	a	a	DET
arestyrurj-157	37	20	formula	formula	NOUN
arestyrurj-157	37	21	from	from	ADP
arestyrurj-157	37	22	our	our	PRON
arestyrurj-157	37	23	bohmian	bohmian	ADJ
arestyrurj-157	37	24	perspective	perspective	NOUN
arestyrurj-157	37	25	.	.	PUNCT
arestyrurj-157	38	1	note	note	VERB
arestyrurj-157	38	2	that	that	SCONJ
arestyrurj-157	38	3	our	our	PRON
arestyrurj-157	38	4	unit	unit	NOUN
arestyrurj-157	38	5	of	of	ADP
arestyrurj-157	38	6	time	time	NOUN
arestyrurj-157	38	7	is	be	AUX
arestyrurj-157	38	8	the	the	DET
arestyrurj-157	38	9	attosecond	attosecond	NOUN
arestyrurj-157	38	10	(	(	PUNCT
arestyrurj-157	38	11	1	1	NUM
arestyrurj-157	38	12	attosecond	attosecond	NOUN
arestyrurj-157	38	13	=	=	SYM
arestyrurj-157	38	14	10—18	10—18	NUM
arestyrurj-157	38	15	seconds	second	NOUN
arestyrurj-157	38	16	)	)	PUNCT
arestyrurj-157	38	17	and	and	CCONJ
arestyrurj-157	38	18	our	our	PRON
arestyrurj-157	38	19	unit	unit	NOUN
arestyrurj-157	38	20	of	of	ADP
arestyrurj-157	38	21	length	length	NOUN
arestyrurj-157	38	22	is	be	AUX
arestyrurj-157	38	23	2.997924	2.997924	NUM
arestyrurj-157	38	24	angstroms	angstrom	NOUN
arestyrurj-157	38	25	(	(	PUNCT
arestyrurj-157	38	26	1	1	NUM
arestyrurj-157	38	27	angstrom	angstrom	NOUN
arestyrurj-157	38	28	=	=	NOUN
arestyrurj-157	38	29	10—10	10—10	NUM
arestyrurj-157	38	30	meters	meter	NOUN
arestyrurj-157	38	31	)	)	PUNCT
arestyrurj-157	38	32	.	.	PUNCT
arestyrurj-157	39	1	this	this	PRON
arestyrurj-157	39	2	allows	allow	VERB
arestyrurj-157	39	3	for	for	ADP
arestyrurj-157	39	4	the	the	DET
arestyrurj-157	39	5	speed	speed	NOUN
arestyrurj-157	39	6	of	of	ADP
arestyrurj-157	39	7	light	light	NOUN
arestyrurj-157	39	8	in	in	ADP
arestyrurj-157	39	9	a	a	DET
arestyrurj-157	39	10	vacuum	vacuum	NOUN
arestyrurj-157	39	11	to	to	PART
arestyrurj-157	39	12	be	be	AUX
arestyrurj-157	39	13	1	1	NUM
arestyrurj-157	39	14	unit	unit	NOUN
arestyrurj-157	39	15	of	of	ADP
arestyrurj-157	39	16	length	length	NOUN
arestyrurj-157	39	17	over	over	ADP
arestyrurj-157	39	18	time	time	NOUN
arestyrurj-157	39	19	.	.	PUNCT
arestyrurj-157	40	1	i.	i.	PROPN
arestyrurj-157	40	2	single	single	PROPN
arestyrurj-157	40	3	photon	photon	PROPN
arestyrurj-157	40	4	theory	theory	NOUN
arestyrurj-157	40	5	the	the	DET
arestyrurj-157	40	6	wave	wave	NOUN
arestyrurj-157	40	7	function	function	NOUN
arestyrurj-157	40	8	of	of	ADP
arestyrurj-157	40	9	a	a	DET
arestyrurj-157	40	10	photon	photon	NOUN
arestyrurj-157	40	11	is	be	AUX
arestyrurj-157	40	12	a	a	DET
arestyrurj-157	40	13	rank-2	rank-2	PROPN
arestyrurj-157	40	14	bispinor	bispinor	NOUN
arestyrurj-157	40	15	field	field	NOUN
arestyrurj-157	40	16	defined	define	VERB
arestyrurj-157	40	17	on	on	ADP
arestyrurj-157	40	18	the	the	DET
arestyrurj-157	40	19	configuration	configuration	NOUN
arestyrurj-157	40	20	space	space	NOUN
arestyrurj-157	40	21	time	time	NOUN
arestyrurj-157	40	22	of	of	ADP
arestyrurj-157	40	23	the	the	DET
arestyrurj-157	40	24	photon	photon	NOUN
arestyrurj-157	41	1	[	[	X
arestyrurj-157	41	2	12	12	NUM
arestyrurj-157	41	3	]	]	PUNCT
arestyrurj-157	41	4	.	.	PUNCT
arestyrurj-157	42	1	in	in	ADP
arestyrurj-157	42	2	one	one	NUM
arestyrurj-157	42	3	space	space	NOUN
arestyrurj-157	42	4	dimension	dimension	NOUN
arestyrurj-157	42	5	this	this	PRON
arestyrurj-157	42	6	means	mean	VERB
arestyrurj-157	42	7	:	:	PUNCT
arestyrurj-157	42	8	where	where	SCONJ
arestyrurj-157	42	9	𝑡𝑡	𝑡𝑡	PROPN
arestyrurj-157	42	10	∈	∈	PROPN
arestyrurj-157	42	11	ℝ	ℝ	PROPN
arestyrurj-157	42	12	is	be	AUX
arestyrurj-157	42	13	a	a	DET
arestyrurj-157	42	14	time	time	NOUN
arestyrurj-157	42	15	coordinate	coordinate	NOUN
arestyrurj-157	42	16	and	and	CCONJ
arestyrurj-157	42	17	𝑠𝑠	𝑠𝑠	ADV
arestyrurj-157	42	18	∈	∈	PROPN
arestyrurj-157	42	19	ℝ	ℝ	PROPN
arestyrurj-157	42	20	is	be	AUX
arestyrurj-157	42	21	a	a	DET
arestyrurj-157	42	22	space	space	NOUN
arestyrurj-157	42	23	coordinate	coordinate	NOUN
arestyrurj-157	42	24	.	.	PUNCT
arestyrurj-157	43	1	since	since	SCONJ
arestyrurj-157	43	2	a	a	DET
arestyrurj-157	43	3	photon	photon	NOUN
arestyrurj-157	43	4	is	be	AUX
arestyrurj-157	43	5	a	a	DET
arestyrurj-157	43	6	relativistic	relativistic	ADJ
arestyrurj-157	43	7	quantum	quantum	NOUN
arestyrurj-157	43	8	particle	particle	NOUN
arestyrurj-157	43	9	,	,	PUNCT
arestyrurj-157	43	10	its	its	PRON
arestyrurj-157	43	11	wave	wave	NOUN
arestyrurj-157	43	12	function	function	NOUN
arestyrurj-157	43	13	must	must	AUX
arestyrurj-157	43	14	satisfy	satisfy	VERB
arestyrurj-157	43	15	a	a	DET
arestyrurj-157	43	16	relativistic	relativistic	ADJ
arestyrurj-157	43	17	partial	partial	ADJ
arestyrurj-157	43	18	differential	differential	NOUN
arestyrurj-157	43	19	equation	equation	NOUN
arestyrurj-157	43	20	,	,	PUNCT
arestyrurj-157	43	21	which	which	PRON
arestyrurj-157	43	22	was	be	AUX
arestyrurj-157	43	23	discovered	discover	VERB
arestyrurj-157	43	24	by	by	ADP
arestyrurj-157	43	25	kiessling	kiessle	VERB
arestyrurj-157	43	26	&	&	CCONJ
arestyrurj-157	43	27	tahvildar	tahvildar	NOUN
arestyrurj-157	43	28	-	-	PUNCT
arestyrurj-157	43	29	zadeh[12	zadeh[12	NOUN
arestyrurj-157	43	30	]	]	X
arestyrurj-157	43	31	.	.	PUNCT
arestyrurj-157	44	1	the	the	DET
arestyrurj-157	44	2	photon	photon	NOUN
arestyrurj-157	44	3	wave	wave	NOUN
arestyrurj-157	44	4	equation	equation	NOUN
arestyrurj-157	44	5	is	be	AUX
arestyrurj-157	44	6	a	a	DET
arestyrurj-157	44	7	dirac	dirac	NOUN
arestyrurj-157	44	8	-	-	PUNCT
arestyrurj-157	44	9	type	type	NOUN
arestyrurj-157	44	10	equation	equation	NOUN
arestyrurj-157	44	11	,	,	PUNCT
arestyrurj-157	44	12	and	and	CCONJ
arestyrurj-157	44	13	in	in	ADP
arestyrurj-157	44	14	one	one	NUM
arestyrurj-157	44	15	-	-	PUNCT
arestyrurj-157	44	16	dimension	dimension	NOUN
arestyrurj-157	44	17	it	it	PRON
arestyrurj-157	44	18	reads	read	VERB
arestyrurj-157	44	19	:	:	PUNCT
arestyrurj-157	44	20	where	where	SCONJ
arestyrurj-157	44	21	ℏ	ℏ	PROPN
arestyrurj-157	44	22	is	be	AUX
arestyrurj-157	44	23	the	the	DET
arestyrurj-157	44	24	reduced	reduce	VERB
arestyrurj-157	44	25	planck	planck	NOUN
arestyrurj-157	44	26	’s	’s	PART
arestyrurj-157	44	27	constant	constant	ADJ
arestyrurj-157	44	28	,	,	PUNCT
arestyrurj-157	44	29	𝑥𝑥0	𝑥𝑥0	NOUN
arestyrurj-157	44	30	=	=	SYM
arestyrurj-157	44	31	𝑐𝑐𝑡𝑡	𝑐𝑐𝑡𝑡	NOUN
arestyrurj-157	44	32	,	,	PUNCT
arestyrurj-157	44	33	𝑥𝑥1	𝑥𝑥1	NOUN
arestyrurj-157	45	1	=	=	SYM
arestyrurj-157	45	2	𝑠𝑠	𝑠𝑠	ADV
arestyrurj-157	45	3	,	,	PUNCT
arestyrurj-157	45	4	𝛾𝛾0	𝛾𝛾0	X
arestyrurj-157	45	5	=	=	SYM
arestyrurj-157	45	6	�	�	PROPN
arestyrurj-157	45	7	0	0	NUM
arestyrurj-157	45	8	1	1	NUM
arestyrurj-157	45	9	1	1	NUM
arestyrurj-157	45	10	0	0	NUM
arestyrurj-157	45	11	�	�	PROPN
arestyrurj-157	45	12	,	,	PUNCT
arestyrurj-157	45	13	and	and	CCONJ
arestyrurj-157	45	14	𝛾𝛾1	𝛾𝛾1	PROPN
arestyrurj-157	45	15	=	=	SYM
arestyrurj-157	45	16	�	�	PROPN
arestyrurj-157	45	17	0	0	NUM
arestyrurj-157	45	18	−1	−1	NOUN
arestyrurj-157	45	19	1	1	NUM
arestyrurj-157	45	20	0	0	NUM
arestyrurj-157	45	21	�	�	NOUN
arestyrurj-157	45	22	;	;	PUNCT
arestyrurj-157	45	23	and	and	CCONJ
arestyrurj-157	45	24	repeated	repeat	VERB
arestyrurj-157	45	25	indices	index	NOUN
arestyrurj-157	45	26	are	be	AUX
arestyrurj-157	45	27	summed	sum	VERB
arestyrurj-157	45	28	over	over	ADP
arestyrurj-157	45	29	the	the	DET
arestyrurj-157	45	30	range	range	NOUN
arestyrurj-157	45	31	𝜇𝜇	𝜇𝜇	ADP
arestyrurj-157	45	32	=	=	SYM
arestyrurj-157	45	33	0	0	NUM
arestyrurj-157	45	34	,	,	PUNCT
arestyrurj-157	45	35	1	1	NUM
arestyrurj-157	45	36	.	.	PUNCT
arestyrurj-157	46	1	here	here	ADV
arestyrurj-157	46	2	,	,	PUNCT
arestyrurj-157	46	3	𝑐𝑐	𝑐𝑐	PROPN
arestyrurj-157	46	4	is	be	AUX
arestyrurj-157	46	5	the	the	DET
arestyrurj-157	46	6	speed	speed	NOUN
arestyrurj-157	46	7	of	of	ADP
arestyrurj-157	46	8	light	light	NOUN
arestyrurj-157	46	9	in	in	ADP
arestyrurj-157	46	10	a	a	DET
arestyrurj-157	46	11	vacuum	vacuum	NOUN
arestyrurj-157	46	12	.	.	PUNCT
arestyrurj-157	47	1	we	we	PRON
arestyrurj-157	47	2	will	will	AUX
arestyrurj-157	47	3	be	be	AUX
arestyrurj-157	47	4	working	work	VERB
arestyrurj-157	47	5	in	in	ADP
arestyrurj-157	47	6	units	unit	NOUN
arestyrurj-157	47	7	where	where	SCONJ
arestyrurj-157	47	8	𝑐𝑐	𝑐𝑐	NOUN
arestyrurj-157	47	9	=	=	NOUN
arestyrurj-157	47	10	1	1	X
arestyrurj-157	47	11	.	.	PUNCT
arestyrurj-157	48	1	the	the	DET
arestyrurj-157	48	2	photon	photon	NOUN
arestyrurj-157	48	3	wave	wave	NOUN
arestyrurj-157	48	4	equation	equation	NOUN
arestyrurj-157	48	5	can	can	AUX
arestyrurj-157	48	6	be	be	AUX
arestyrurj-157	48	7	solved	solve	VERB
arestyrurj-157	48	8	given	give	VERB
arestyrurj-157	48	9	an	an	DET
arestyrurj-157	48	10	initial	initial	ADJ
arestyrurj-157	48	11	wave	wave	NOUN
arestyrurj-157	48	12	function	function	NOUN
arestyrurj-157	48	13	𝛹𝛹𝑝𝑝ℎ(0	𝛹𝛹𝑝𝑝ℎ(0	NOUN
arestyrurj-157	48	14	,	,	PUNCT
arestyrurj-157	48	15	𝑠𝑠	𝑠𝑠	PROPN
arestyrurj-157	48	16	)	)	PUNCT
arestyrurj-157	48	17	=	=	SYM
arestyrurj-157	48	18	𝛹𝛹𝑝𝑝ℎ0	𝛹𝛹𝑝𝑝ℎ0	PROPN
arestyrurj-157	48	19	(	(	PUNCT
arestyrurj-157	48	20	𝑠𝑠	𝑠𝑠	PROPN
arestyrurj-157	48	21	)	)	PUNCT
arestyrurj-157	48	22	.	.	PUNCT
arestyrurj-157	49	1	typical	typical	ADJ
arestyrurj-157	49	2	initial	initial	ADJ
arestyrurj-157	49	3	data	datum	NOUN
arestyrurj-157	49	4	corresponding	correspond	VERB
arestyrurj-157	49	5	to	to	ADP
arestyrurj-157	49	6	a	a	DET
arestyrurj-157	49	7	photon	photon	NOUN
arestyrurj-157	49	8	localized	localize	VERB
arestyrurj-157	49	9	in	in	ADP
arestyrurj-157	49	10	both	both	DET
arestyrurj-157	49	11	position	position	NOUN
arestyrurj-157	49	12	and	and	CCONJ
arestyrurj-157	49	13	momentum	momentum	NOUN
arestyrurj-157	49	14	space	space	NOUN
arestyrurj-157	49	15	(	(	PUNCT
arestyrurj-157	49	16	subject	subject	ADJ
arestyrurj-157	49	17	to	to	ADP
arestyrurj-157	49	18	uncertainty	uncertainty	NOUN
arestyrurj-157	49	19	principle	principle	NOUN
arestyrurj-157	49	20	)	)	PUNCT
arestyrurj-157	49	21	can	can	AUX
arestyrurj-157	49	22	be	be	AUX
arestyrurj-157	49	23	found	find	VERB
arestyrurj-157	49	24	in	in	ADP
arestyrurj-157	49	25	figure	figure	NOUN
arestyrurj-157	49	26	1	1	NUM
arestyrurj-157	49	27	.	.	PUNCT
arestyrurj-157	50	1	in	in	ADP
arestyrurj-157	50	2	our	our	PRON
arestyrurj-157	50	3	case	case	NOUN
arestyrurj-157	50	4	,	,	PUNCT
arestyrurj-157	50	5	the	the	DET
arestyrurj-157	50	6	typical	typical	ADJ
arestyrurj-157	50	7	initial	initial	ADJ
arestyrurj-157	50	8	data	datum	NOUN
arestyrurj-157	50	9	are	be	AUX
arestyrurj-157	50	10	gaussian	gaussian	ADJ
arestyrurj-157	50	11	distributions	distribution	NOUN
arestyrurj-157	50	12	in	in	ADP
arestyrurj-157	50	13	photon	photon	NOUN
arestyrurj-157	50	14	position	position	NOUN
arestyrurj-157	50	15	space	space	NOUN
arestyrurj-157	50	16	.	.	PUNCT
arestyrurj-157	51	1	since	since	SCONJ
arestyrurj-157	51	2	the	the	DET
arestyrurj-157	51	3	fourier	fourier	NOUN
arestyrurj-157	51	4	transform	transform	NOUN
arestyrurj-157	51	5	of	of	ADP
arestyrurj-157	51	6	a	a	DET
arestyrurj-157	51	7	gaussian	gaussian	NOUN
arestyrurj-157	51	8	is	be	AUX
arestyrurj-157	51	9	a	a	DET
arestyrurj-157	51	10	gaussian	gaussian	NOUN
arestyrurj-157	51	11	,	,	PUNCT
arestyrurj-157	51	12	these	these	PRON
arestyrurj-157	51	13	also	also	ADV
arestyrurj-157	51	14	have	have	VERB
arestyrurj-157	51	15	a	a	DET
arestyrurj-157	51	16	gaussian	gaussian	ADJ
arestyrurj-157	51	17	distribution	distribution	NOUN
arestyrurj-157	51	18	in	in	ADP
arestyrurj-157	51	19	momentum	momentum	NOUN
arestyrurj-157	51	20	space	space	NOUN
arestyrurj-157	51	21	.	.	PUNCT
arestyrurj-157	52	1	therefore	therefore	ADV
arestyrurj-157	52	2	,	,	PUNCT
arestyrurj-157	52	3	there	there	PRON
arestyrurj-157	52	4	are	be	VERB
arestyrurj-157	52	5	two	two	NUM
arestyrurj-157	52	6	parameters	parameter	NOUN
arestyrurj-157	52	7	that	that	SCONJ
arestyrurj-157	52	8	we	we	PRON
arestyrurj-157	52	9	can	can	AUX
arestyrurj-157	52	10	set	set	VERB
arestyrurj-157	52	11	:	:	PUNCT
arestyrurj-157	52	12	the	the	DET
arestyrurj-157	52	13	mean	mean	ADJ
arestyrurj-157	52	14	𝑘𝑘0	𝑘𝑘0	PROPN
arestyrurj-157	52	15	∈	∈	PROPN
arestyrurj-157	52	16	ℝ	ℝ	PROPN
arestyrurj-157	52	17	of	of	ADP
arestyrurj-157	52	18	the	the	DET
arestyrurj-157	52	19	momentum	momentum	NOUN
arestyrurj-157	52	20	distribution	distribution	NOUN
arestyrurj-157	52	21	,	,	PUNCT
arestyrurj-157	52	22	and	and	CCONJ
arestyrurj-157	52	23	the	the	DET
arestyrurj-157	52	24	momentum	momentum	NOUN
arestyrurj-157	52	25	standard	standard	ADJ
arestyrurj-157	52	26	deviation	deviation	NOUN
arestyrurj-157	52	27	𝛼𝛼𝑝𝑝ℎ.	𝛼𝛼𝑝𝑝ℎ.	NOUN
arestyrurj-157	52	28	recall	recall	VERB
arestyrurj-157	52	29	that	that	SCONJ
arestyrurj-157	52	30	according	accord	VERB
arestyrurj-157	52	31	to	to	ADP
arestyrurj-157	52	32	the	the	DET
arestyrurj-157	52	33	uncertainty	uncertainty	NOUN
arestyrurj-157	52	34	principle	principle	NOUN
arestyrurj-157	52	35	,	,	PUNCT
arestyrurj-157	52	36	aresty	aresty	ADJ
arestyrurj-157	52	37	rutgers	rutgers	PROPN
arestyrurj-157	52	38	undergraduate	undergraduate	PROPN
arestyrurj-157	52	39	research	research	PROPN
arestyrurj-157	52	40	journal	journal	PROPN
arestyrurj-157	52	41	,	,	PUNCT
arestyrurj-157	52	42	volume	volume	NOUN
arestyrurj-157	52	43	i	i	PRON
arestyrurj-157	52	44	,	,	PUNCT
arestyrurj-157	52	45	issue	issue	PROPN
arestyrurj-157	52	46	ii	ii	PROPN
arestyrurj-157	52	47	𝛼𝛼𝑝𝑝ℎ𝜎𝜎𝑝𝑝ℎ	𝛼𝛼𝑝𝑝ℎ𝜎𝜎𝑝𝑝ℎ	PROPN
arestyrurj-157	52	48	≥	≥	PROPN
arestyrurj-157	52	49	ℎ	ℎ	PROPN
arestyrurj-157	52	50	2	2	NUM
arestyrurj-157	52	51	,	,	PUNCT
arestyrurj-157	52	52	where	where	SCONJ
arestyrurj-157	52	53	𝜎𝜎𝑝𝑝ℎ	𝜎𝜎𝑝𝑝ℎ	ADV
arestyrurj-157	52	54	is	be	AUX
arestyrurj-157	52	55	the	the	DET
arestyrurj-157	52	56	standard	standard	ADJ
arestyrurj-157	52	57	deviation	deviation	NOUN
arestyrurj-157	52	58	in	in	ADP
arestyrurj-157	52	59	photon	photon	NOUN
arestyrurj-157	52	60	position	position	NOUN
arestyrurj-157	52	61	space	space	NOUN
arestyrurj-157	52	62	,	,	PUNCT
arestyrurj-157	52	63	and	and	CCONJ
arestyrurj-157	52	64	that	that	SCONJ
arestyrurj-157	52	65	this	this	DET
arestyrurj-157	52	66	inequality	inequality	NOUN
arestyrurj-157	52	67	is	be	AUX
arestyrurj-157	52	68	saturated	saturate	VERB
arestyrurj-157	52	69	by	by	ADP
arestyrurj-157	52	70	the	the	DET
arestyrurj-157	52	71	gaussian	gaussian	ADJ
arestyrurj-157	52	72	distribution	distribution	NOUN
arestyrurj-157	52	73	.	.	PUNCT
arestyrurj-157	53	1	furthermore	furthermore	ADV
arestyrurj-157	53	2	,	,	PUNCT
arestyrurj-157	53	3	we	we	PRON
arestyrurj-157	53	4	recall	recall	VERB
arestyrurj-157	53	5	the	the	DET
arestyrurj-157	53	6	einstein	einstein	NOUN
arestyrurj-157	53	7	-	-	PUNCT
arestyrurj-157	53	8	de	de	X
arestyrurj-157	53	9	broglie	broglie	PROPN
arestyrurj-157	53	10	energy	energy	NOUN
arestyrurj-157	53	11	and	and	CCONJ
arestyrurj-157	53	12	momentum	momentum	NOUN
arestyrurj-157	53	13	relations	relation	NOUN
arestyrurj-157	53	14	𝐸𝐸	𝐸𝐸	PROPN
arestyrurj-157	53	15	=	=	PUNCT
arestyrurj-157	54	1	ℎ𝜐𝜐	ℎ𝜐𝜐	ADJ
arestyrurj-157	54	2	,	,	PUNCT
arestyrurj-157	54	3	𝑝𝑝	𝑝𝑝	PROPN
arestyrurj-157	54	4	=	=	SYM
arestyrurj-157	54	5	ℎ𝑘𝑘	ℎ𝑘𝑘	PROPN
arestyrurj-157	54	6	,	,	PUNCT
arestyrurj-157	54	7	and	and	CCONJ
arestyrurj-157	54	8	the	the	DET
arestyrurj-157	54	9	photon	photon	NOUN
arestyrurj-157	54	10	dispersion	dispersion	NOUN
arestyrurj-157	54	11	relation	relation	NOUN
arestyrurj-157	55	1	𝐸𝐸	𝐸𝐸	PROPN
arestyrurj-157	55	2	=	=	PUNCT
arestyrurj-157	55	3	|𝑝𝑝|	|𝑝𝑝|	PROPN
arestyrurj-157	55	4	(	(	PUNCT
arestyrurj-157	55	5	recall	recall	VERB
arestyrurj-157	55	6	that	that	PRON
arestyrurj-157	55	7	𝑐𝑐	𝑐𝑐	NOUN
arestyrurj-157	55	8	=	=	NOUN
arestyrurj-157	55	9	1	1	NUM
arestyrurj-157	55	10	.	.	PUNCT
arestyrurj-157	55	11	)	)	PUNCT
arestyrurj-157	56	1	these	these	PRON
arestyrurj-157	56	2	imply	imply	VERB
arestyrurj-157	56	3	that	that	SCONJ
arestyrurj-157	56	4	we	we	PRON
arestyrurj-157	56	5	may	may	AUX
arestyrurj-157	56	6	identify	identify	VERB
arestyrurj-157	56	7	|𝑘𝑘0|	|𝑘𝑘0|	PROPN
arestyrurj-157	56	8	with	with	ADP
arestyrurj-157	56	9	the	the	DET
arestyrurj-157	56	10	mean	mean	NOUN
arestyrurj-157	56	11	of	of	ADP
arestyrurj-157	56	12	the	the	DET
arestyrurj-157	56	13	initial	initial	ADJ
arestyrurj-157	56	14	frequency	frequency	NOUN
arestyrurj-157	56	15	distribution	distribution	NOUN
arestyrurj-157	56	16	of	of	ADP
arestyrurj-157	56	17	the	the	DET
arestyrurj-157	56	18	photons	photon	NOUN
arestyrurj-157	56	19	.	.	PUNCT
arestyrurj-157	57	1	the	the	DET
arestyrurj-157	57	2	probability	probability	NOUN
arestyrurj-157	57	3	current	current	NOUN
arestyrurj-157	57	4	of	of	ADP
arestyrurj-157	57	5	detecting	detect	VERB
arestyrurj-157	57	6	a	a	DET
arestyrurj-157	57	7	photon	photon	NOUN
arestyrurj-157	57	8	at	at	ADP
arestyrurj-157	57	9	a	a	DET
arestyrurj-157	57	10	point	point	NOUN
arestyrurj-157	57	11	in	in	ADP
arestyrurj-157	57	12	one	one	NUM
arestyrurj-157	57	13	space	space	NOUN
arestyrurj-157	57	14	and	and	CCONJ
arestyrurj-157	57	15	one	one	NUM
arestyrurj-157	57	16	time	time	NOUN
arestyrurj-157	57	17	dimension	dimension	NOUN
arestyrurj-157	57	18	is[12	is[12	NOUN
arestyrurj-157	57	19	]	]	PUNCT
arestyrurj-157	57	20	:	:	PUNCT
arestyrurj-157	57	21	where	where	SCONJ
arestyrurj-157	57	22	𝑋𝑋	𝑋𝑋	PROPN
arestyrurj-157	57	23	=	=	PUNCT
arestyrurj-157	57	24	(	(	PUNCT
arestyrurj-157	57	25	𝑋𝑋0,𝑋𝑋1	𝑋𝑋0,𝑋𝑋1	NOUN
arestyrurj-157	57	26	)	)	PUNCT
arestyrurj-157	57	27	is	be	AUX
arestyrurj-157	57	28	a	a	DET
arestyrurj-157	57	29	constant	constant	ADJ
arestyrurj-157	57	30	vector	vector	NOUN
arestyrurj-157	57	31	field	field	NOUN
arestyrurj-157	57	32	computed	compute	VERB
arestyrurj-157	57	33	from	from	ADP
arestyrurj-157	57	34	𝛹𝛹𝑝𝑝ℎ0	𝛹𝛹𝑝𝑝ℎ0	PROPN
arestyrurj-157	57	35	,	,	PUNCT
arestyrurj-157	57	36	𝛾𝛾(𝑋𝑋	𝛾𝛾(𝑋𝑋	NOUN
arestyrurj-157	57	37	)	)	PUNCT
arestyrurj-157	57	38	≔	≔	NOUN
arestyrurj-157	57	39	𝛾𝛾0𝑋𝑋0	𝛾𝛾0𝑋𝑋0	NOUN
arestyrurj-157	58	1	+	+	CCONJ
arestyrurj-157	58	2	𝛾𝛾1𝑋𝑋1	𝛾𝛾1𝑋𝑋1	PROPN
arestyrurj-157	58	3	,	,	PUNCT
arestyrurj-157	58	4	𝛹𝛹	𝛹𝛹	PROPN
arestyrurj-157	58	5	�	�	PROPN
arestyrurj-157	58	6	≔	≔	NOUN
arestyrurj-157	58	7	𝛾𝛾0𝛹𝛹†𝛾𝛾0	𝛾𝛾0𝛹𝛹†𝛾𝛾0	PUNCT
arestyrurj-157	58	8	,	,	PUNCT
arestyrurj-157	58	9	and	and	CCONJ
arestyrurj-157	58	10	tr	tr	NOUN
arestyrurj-157	58	11	denotes	denote	NOUN
arestyrurj-157	58	12	matrix	matrix	NOUN
arestyrurj-157	58	13	trace	trace	NOUN
arestyrurj-157	58	14	.	.	PUNCT
arestyrurj-157	59	1	the	the	DET
arestyrurj-157	59	2	current	current	NOUN
arestyrurj-157	59	3	is	be	AUX
arestyrurj-157	59	4	conserved	conserve	VERB
arestyrurj-157	59	5	:	:	PUNCT
arestyrurj-157	59	6	𝜕𝜕𝜇𝜇𝑗𝑗𝑝𝑝ℎ	𝜕𝜕𝜇𝜇𝑗𝑗𝑝𝑝ℎ	NUM
arestyrurj-157	59	7	𝜇𝜇	𝜇𝜇	ADP
arestyrurj-157	59	8	=	=	SYM
arestyrurj-157	59	9	0	0	PROPN
arestyrurj-157	59	10	,	,	PUNCT
arestyrurj-157	59	11	future	future	NOUN
arestyrurj-157	59	12	directed	direct	VERB
arestyrurj-157	59	13	(	(	PUNCT
arestyrurj-157	59	14	𝑗𝑗0	𝑗𝑗0	X
arestyrurj-157	59	15	≥	≥	NOUN
arestyrurj-157	59	16	0	0	NUM
arestyrurj-157	59	17	)	)	PUNCT
arestyrurj-157	59	18	,	,	PUNCT
arestyrurj-157	59	19	and	and	CCONJ
arestyrurj-157	59	20	timelike	timelike	PROPN
arestyrurj-157	59	21	(	(	PUNCT
arestyrurj-157	59	22	𝑗𝑗0	𝑗𝑗0	X
arestyrurj-157	59	23	≥	≥	PROPN
arestyrurj-157	59	24	|𝑗𝑗1|	|𝑗𝑗1|	PROPN
arestyrurj-157	59	25	)	)	PUNCT
arestyrurj-157	59	26	.	.	PUNCT
arestyrurj-157	60	1	thus	thus	ADV
arestyrurj-157	60	2	,	,	PUNCT
arestyrurj-157	60	3	the	the	DET
arestyrurj-157	60	4	probability	probability	NOUN
arestyrurj-157	60	5	density	density	NOUN
arestyrurj-157	60	6	of	of	ADP
arestyrurj-157	60	7	detecting	detect	VERB
arestyrurj-157	60	8	the	the	DET
arestyrurj-157	60	9	photon	photon	NOUN
arestyrurj-157	60	10	at	at	ADP
arestyrurj-157	60	11	event	event	NOUN
arestyrurj-157	60	12	(	(	PUNCT
arestyrurj-157	60	13	𝑡𝑡	𝑡𝑡	PROPN
arestyrurj-157	60	14	,	,	PUNCT
arestyrurj-157	60	15	𝑠𝑠	𝑠𝑠	PRON
arestyrurj-157	60	16	)	)	PUNCT
arestyrurj-157	60	17	is	be	AUX
arestyrurj-157	60	18	𝜌𝜌(𝑡𝑡	𝜌𝜌(𝑡𝑡	PROPN
arestyrurj-157	60	19	,	,	PUNCT
arestyrurj-157	60	20	𝑠𝑠	𝑠𝑠	ADP
arestyrurj-157	60	21	)	)	PUNCT
arestyrurj-157	60	22	=	=	SYM
arestyrurj-157	61	1	𝑗𝑗𝑝𝑝ℎ0	𝑗𝑗𝑝𝑝ℎ0	PROPN
arestyrurj-157	61	2	(	(	PUNCT
arestyrurj-157	61	3	𝑡𝑡	𝑡𝑡	PROPN
arestyrurj-157	61	4	,	,	PUNCT
arestyrurj-157	61	5	𝑠𝑠	𝑠𝑠	NOUN
arestyrurj-157	61	6	)	)	PUNCT
arestyrurj-157	61	7	.	.	PUNCT
arestyrurj-157	62	1	the	the	DET
arestyrurj-157	62	2	motion	motion	NOUN
arestyrurj-157	62	3	of	of	ADP
arestyrurj-157	62	4	the	the	DET
arestyrurj-157	62	5	photon	photon	NOUN
arestyrurj-157	62	6	is	be	AUX
arestyrurj-157	62	7	guided	guide	VERB
arestyrurj-157	62	8	by	by	ADP
arestyrurj-157	62	9	its	its	PRON
arestyrurj-157	62	10	wave	wave	NOUN
arestyrurj-157	62	11	function	function	NOUN
arestyrurj-157	62	12	through	through	ADP
arestyrurj-157	62	13	the	the	DET
arestyrurj-157	62	14	following	follow	VERB
arestyrurj-157	62	15	system	system	NOUN
arestyrurj-157	62	16	of	of	ADP
arestyrurj-157	62	17	guiding	guiding	NOUN
arestyrurj-157	62	18	equations[11	equations[11	X
arestyrurj-157	62	19	]	]	X
arestyrurj-157	62	20	:	:	PUNCT
arestyrurj-157	62	21	here	here	ADV
arestyrurj-157	62	22	,	,	PUNCT
arestyrurj-157	62	23	𝑞𝑞(𝑡𝑡	𝑞𝑞(𝑡𝑡	PROPN
arestyrurj-157	62	24	)	)	PUNCT
arestyrurj-157	62	25	is	be	AUX
arestyrurj-157	62	26	the	the	DET
arestyrurj-157	62	27	position	position	NOUN
arestyrurj-157	62	28	of	of	ADP
arestyrurj-157	62	29	the	the	DET
arestyrurj-157	62	30	photon	photon	NOUN
arestyrurj-157	62	31	at	at	ADP
arestyrurj-157	62	32	time	time	NOUN
arestyrurj-157	62	33	𝑡𝑡	𝑡𝑡	PROPN
arestyrurj-157	62	34	;	;	PUNCT
arestyrurj-157	62	35	𝑞𝑞0	𝑞𝑞0	PROPN
arestyrurj-157	62	36	is	be	AUX
arestyrurj-157	62	37	the	the	DET
arestyrurj-157	62	38	initial	initial	ADJ
arestyrurj-157	62	39	position	position	NOUN
arestyrurj-157	62	40	of	of	ADP
arestyrurj-157	62	41	the	the	DET
arestyrurj-157	62	42	photon	photon	NOUN
arestyrurj-157	62	43	.	.	PUNCT
arestyrurj-157	63	1	all	all	PRON
arestyrurj-157	63	2	we	we	PRON
arestyrurj-157	63	3	know	know	VERB
arestyrurj-157	63	4	about	about	ADP
arestyrurj-157	63	5	the	the	DET
arestyrurj-157	63	6	initial	initial	ADJ
arestyrurj-157	63	7	position	position	NOUN
arestyrurj-157	63	8	is	be	AUX
arestyrurj-157	63	9	that	that	SCONJ
arestyrurj-157	63	10	it	it	PRON
arestyrurj-157	63	11	is	be	AUX
arestyrurj-157	63	12	randomly	randomly	ADV
arestyrurj-157	63	13	distributed	distribute	VERB
arestyrurj-157	63	14	according	accord	VERB
arestyrurj-157	63	15	to	to	ADP
arestyrurj-157	63	16	the	the	DET
arestyrurj-157	63	17	initial	initial	ADJ
arestyrurj-157	63	18	probability	probability	NOUN
arestyrurj-157	63	19	density	density	NOUN
arestyrurj-157	63	20	𝜌𝜌(0	𝜌𝜌(0	PROPN
arestyrurj-157	63	21	,	,	PUNCT
arestyrurj-157	63	22	𝑠𝑠	𝑠𝑠	NOUN
arestyrurj-157	63	23	)	)	PUNCT
arestyrurj-157	63	24	.	.	PUNCT
arestyrurj-157	64	1	by	by	ADP
arestyrurj-157	64	2	solving	solve	VERB
arestyrurj-157	64	3	the	the	DET
arestyrurj-157	64	4	system	system	NOUN
arestyrurj-157	64	5	of	of	ADP
arestyrurj-157	64	6	guiding	guide	VERB
arestyrurj-157	64	7	equations	equation	NOUN
arestyrurj-157	64	8	,	,	PUNCT
arestyrurj-157	64	9	we	we	PRON
arestyrurj-157	64	10	obtain	obtain	VERB
arestyrurj-157	64	11	the	the	DET
arestyrurj-157	64	12	trajectory	trajectory	NOUN
arestyrurj-157	64	13	of	of	ADP
arestyrurj-157	64	14	a	a	DET
arestyrurj-157	64	15	single	single	ADJ
arestyrurj-157	64	16	photon	photon	NOUN
arestyrurj-157	64	17	over	over	ADP
arestyrurj-157	64	18	time	time	NOUN
arestyrurj-157	64	19	.	.	PUNCT
arestyrurj-157	65	1	ii	ii	PROPN
arestyrurj-157	65	2	.	.	PUNCT
arestyrurj-157	65	3	single	single	ADJ
arestyrurj-157	65	4	electron	electron	NOUN
arestyrurj-157	65	5	theory	theory	NOUN
arestyrurj-157	65	6	according	accord	VERB
arestyrurj-157	65	7	to	to	ADP
arestyrurj-157	65	8	paul	paul	PROPN
arestyrurj-157	65	9	dirac	dirac	PROPN
arestyrurj-157	65	10	,	,	PUNCT
arestyrurj-157	65	11	the	the	DET
arestyrurj-157	65	12	wave	wave	NOUN
arestyrurj-157	65	13	function	function	NOUN
arestyrurj-157	65	14	of	of	ADP
arestyrurj-157	65	15	a	a	DET
arestyrurj-157	65	16	single	single	ADJ
arestyrurj-157	65	17	electron	electron	NOUN
arestyrurj-157	65	18	is	be	AUX
arestyrurj-157	65	19	a	a	DET
arestyrurj-157	65	20	spin-1	spin-1	NUM
arestyrurj-157	65	21	2	2	NUM
arestyrurj-157	65	22	field	field	NOUN
arestyrurj-157	65	23	defined	define	VERB
arestyrurj-157	65	24	on	on	ADP
arestyrurj-157	65	25	the	the	DET
arestyrurj-157	65	26	configuration	configuration	NOUN
arestyrurj-157	65	27	space	space	NOUN
arestyrurj-157	65	28	of	of	ADP
arestyrurj-157	65	29	the	the	DET
arestyrurj-157	65	30	electron[6	electron[6	NOUN
arestyrurj-157	65	31	]	]	PUNCT
arestyrurj-157	65	32	.	.	PUNCT
arestyrurj-157	66	1	in	in	ADP
arestyrurj-157	66	2	one	one	NUM
arestyrurj-157	66	3	space	space	NOUN
arestyrurj-157	66	4	dimension	dimension	NOUN
arestyrurj-157	66	5	this	this	PRON
arestyrurj-157	66	6	means	mean	VERB
arestyrurj-157	66	7	:	:	PUNCT
arestyrurj-157	66	8	.	.	PUNCT
arestyrurj-157	67	1	like	like	INTJ
arestyrurj-157	67	2	in	in	ADP
arestyrurj-157	67	3	the	the	DET
arestyrurj-157	67	4	case	case	NOUN
arestyrurj-157	67	5	of	of	ADP
arestyrurj-157	67	6	a	a	DET
arestyrurj-157	67	7	single	single	ADJ
arestyrurj-157	67	8	photon	photon	NOUN
arestyrurj-157	67	9	,	,	PUNCT
arestyrurj-157	67	10	the	the	DET
arestyrurj-157	67	11	wave	wave	NOUN
arestyrurj-157	67	12	function	function	NOUN
arestyrurj-157	67	13	of	of	ADP
arestyrurj-157	67	14	a	a	DET
arestyrurj-157	67	15	single	single	ADJ
arestyrurj-157	67	16	electron	electron	NOUN
arestyrurj-157	67	17	also	also	ADV
arestyrurj-157	67	18	satisfies	satisfy	VERB
arestyrurj-157	67	19	a	a	DET
arestyrurj-157	67	20	relativistic	relativistic	ADJ
arestyrurj-157	67	21	equation	equation	NOUN
arestyrurj-157	67	22	.	.	PUNCT
arestyrurj-157	68	1	in	in	ADP
arestyrurj-157	68	2	particular	particular	ADJ
arestyrurj-157	68	3	,	,	PUNCT
arestyrurj-157	68	4	it	it	PRON
arestyrurj-157	68	5	satisfies	satisfy	VERB
arestyrurj-157	68	6	the	the	DET
arestyrurj-157	68	7	massive	massive	ADJ
arestyrurj-157	68	8	dirac	dirac	NOUN
arestyrurj-157	68	9	equation	equation	NOUN
arestyrurj-157	68	10	:	:	PUNCT
arestyrurj-157	68	11	,	,	PUNCT
arestyrurj-157	68	12	where	where	SCONJ
arestyrurj-157	68	13	𝑚𝑚𝑒𝑒𝑒𝑒	𝑚𝑚𝑒𝑒𝑒𝑒	PROPN
arestyrurj-157	68	14	is	be	AUX
arestyrurj-157	68	15	the	the	DET
arestyrurj-157	68	16	mass	mass	NOUN
arestyrurj-157	68	17	of	of	ADP
arestyrurj-157	68	18	an	an	DET
arestyrurj-157	68	19	electron	electron	NOUN
arestyrurj-157	68	20	.	.	PUNCT
arestyrurj-157	69	1	the	the	DET
arestyrurj-157	69	2	probability	probability	NOUN
arestyrurj-157	69	3	current	current	NOUN
arestyrurj-157	69	4	of	of	ADP
arestyrurj-157	69	5	an	an	DET
arestyrurj-157	69	6	electron	electron	NOUN
arestyrurj-157	69	7	is	be	AUX
arestyrurj-157	69	8	:	:	PUNCT
arestyrurj-157	69	9	,	,	PUNCT
arestyrurj-157	69	10	where	where	SCONJ
arestyrurj-157	69	11	𝛹𝛹	𝛹𝛹	PROPN
arestyrurj-157	69	12	�	�	PROPN
arestyrurj-157	69	13	≔	≔	VERB
arestyrurj-157	69	14	𝛹𝛹†𝛾𝛾0	𝛹𝛹†𝛾𝛾0	NUM
arestyrurj-157	69	15	is	be	AUX
arestyrurj-157	69	16	the	the	DET
arestyrurj-157	69	17	dirac	dirac	PROPN
arestyrurj-157	69	18	adjoint	adjoint	NOUN
arestyrurj-157	69	19	for	for	ADP
arestyrurj-157	69	20	rank	rank	NOUN
arestyrurj-157	69	21	-	-	PUNCT
arestyrurj-157	69	22	one	one	NUM
arestyrurj-157	69	23	figure	figure	NOUN
arestyrurj-157	69	24	1	1	NUM
arestyrurj-157	69	25	:	:	PUNCT
arestyrurj-157	69	26	initial	initial	ADJ
arestyrurj-157	69	27	data	datum	NOUN
arestyrurj-157	69	28	for	for	ADP
arestyrurj-157	69	29	the	the	DET
arestyrurj-157	69	30	photon	photon	NOUN
arestyrurj-157	69	31	wave	wave	NOUN
arestyrurj-157	69	32	equation	equation	NOUN
arestyrurj-157	69	33	is	be	AUX
arestyrurj-157	69	34	split	split	VERB
arestyrurj-157	69	35	into	into	ADP
arestyrurj-157	69	36	real	real	ADJ
arestyrurj-157	69	37	and	and	CCONJ
arestyrurj-157	69	38	imaginary	imaginary	ADJ
arestyrurj-157	69	39	components	component	NOUN
arestyrurj-157	69	40	.	.	PUNCT
arestyrurj-157	70	1	we	we	PRON
arestyrurj-157	70	2	assume	assume	VERB
arestyrurj-157	70	3	typical	typical	ADJ
arestyrurj-157	70	4	initial	initial	ADJ
arestyrurj-157	70	5	data	datum	NOUN
arestyrurj-157	70	6	:	:	PUNCT
arestyrurj-157	70	7	the	the	DET
arestyrurj-157	70	8	photon	photon	NOUN
arestyrurj-157	70	9	starts	start	VERB
arestyrurj-157	70	10	off	off	ADP
arestyrurj-157	70	11	as	as	ADP
arestyrurj-157	70	12	a	a	DET
arestyrurj-157	70	13	gaussian	gaussian	ADJ
arestyrurj-157	70	14	wave	wave	NOUN
arestyrurj-157	70	15	packet	packet	NOUN
arestyrurj-157	70	16	both	both	CCONJ
arestyrurj-157	70	17	in	in	ADP
arestyrurj-157	70	18	position	position	NOUN
arestyrurj-157	70	19	and	and	CCONJ
arestyrurj-157	70	20	in	in	ADP
arestyrurj-157	70	21	momentum	momentum	NOUN
arestyrurj-157	70	22	-	-	PUNCT
arestyrurj-157	70	23	space	space	NOUN
arestyrurj-157	70	24	.	.	PUNCT
arestyrurj-157	71	1	since	since	SCONJ
arestyrurj-157	71	2	the	the	DET
arestyrurj-157	71	3	unit	unit	NOUN
arestyrurj-157	71	4	of	of	ADP
arestyrurj-157	71	5	frequency	frequency	NOUN
arestyrurj-157	71	6	is	be	AUX
arestyrurj-157	71	7	the	the	DET
arestyrurj-157	71	8	reciprocal	reciprocal	NOUN
arestyrurj-157	71	9	of	of	ADP
arestyrurj-157	71	10	time	time	NOUN
arestyrurj-157	71	11	,	,	PUNCT
arestyrurj-157	71	12	our	our	PRON
arestyrurj-157	71	13	unit	unit	NOUN
arestyrurj-157	71	14	of	of	ADP
arestyrurj-157	71	15	frequency	frequency	NOUN
arestyrurj-157	71	16	is	be	AUX
arestyrurj-157	71	17	1018	1018	NUM
arestyrurj-157	71	18	hz	hz	VERB
arestyrurj-157	71	19	.	.	PROPN
arestyrurj-157	71	20	aresty	aresty	PROPN
arestyrurj-157	71	21	rutgers	rutgers	PROPN
arestyrurj-157	71	22	undergraduate	undergraduate	PROPN
arestyrurj-157	71	23	research	research	PROPN
arestyrurj-157	71	24	journal	journal	PROPN
arestyrurj-157	71	25	,	,	PUNCT
arestyrurj-157	71	26	volume	volume	NOUN
arestyrurj-157	71	27	i	i	PRON
arestyrurj-157	71	28	,	,	PUNCT
arestyrurj-157	71	29	issue	issue	NOUN
arestyrurj-157	71	30	ii	ii	PROPN
arestyrurj-157	71	31	bispinors	bispinor	NOUN
arestyrurj-157	71	32	.	.	PUNCT
arestyrurj-157	72	1	furthermore	furthermore	ADV
arestyrurj-157	72	2	,	,	PUNCT
arestyrurj-157	72	3	as	as	ADP
arestyrurj-157	72	4	in	in	ADP
arestyrurj-157	72	5	previous	previous	ADJ
arestyrurj-157	72	6	research	research	NOUN
arestyrurj-157	72	7	,	,	PUNCT
arestyrurj-157	72	8	we	we	PRON
arestyrurj-157	72	9	define	define	VERB
arestyrurj-157	72	10	the	the	DET
arestyrurj-157	72	11	guiding	guide	VERB
arestyrurj-157	72	12	velocity	velocity	NOUN
arestyrurj-157	72	13	field	field	NOUN
arestyrurj-157	72	14	of	of	ADP
arestyrurj-157	72	15	an	an	DET
arestyrurj-157	72	16	electron	electron	NOUN
arestyrurj-157	72	17	in	in	ADP
arestyrurj-157	72	18	the	the	DET
arestyrurj-157	72	19	same	same	ADJ
arestyrurj-157	72	20	way	way	NOUN
arestyrurj-157	72	21	as	as	ADP
arestyrurj-157	72	22	that	that	PRON
arestyrurj-157	72	23	of	of	ADP
arestyrurj-157	72	24	a	a	DET
arestyrurj-157	72	25	photon[11	photon[11	NOUN
arestyrurj-157	72	26	]	]	PUNCT
arestyrurj-157	72	27	:	:	PUNCT
arestyrurj-157	72	28	.	.	PUNCT
arestyrurj-157	73	1	similarly	similarly	ADV
arestyrurj-157	73	2	to	to	ADP
arestyrurj-157	73	3	the	the	DET
arestyrurj-157	73	4	photon	photon	NOUN
arestyrurj-157	73	5	case	case	NOUN
arestyrurj-157	73	6	,	,	PUNCT
arestyrurj-157	73	7	the	the	DET
arestyrurj-157	73	8	guiding	guide	VERB
arestyrurj-157	73	9	equation	equation	NOUN
arestyrurj-157	73	10	for	for	ADP
arestyrurj-157	73	11	the	the	DET
arestyrurj-157	73	12	electron	electron	NOUN
arestyrurj-157	73	13	is[11	is[11	PROPN
arestyrurj-157	73	14	]	]	PUNCT
arestyrurj-157	73	15	:	:	PUNCT
arestyrurj-157	73	16	the	the	DET
arestyrurj-157	73	17	equation	equation	NOUN
arestyrurj-157	73	18	satisfied	satisfy	VERB
arestyrurj-157	73	19	by	by	ADP
arestyrurj-157	73	20	the	the	DET
arestyrurj-157	73	21	electron	electron	NOUN
arestyrurj-157	73	22	wave	wave	NOUN
arestyrurj-157	73	23	function	function	NOUN
arestyrurj-157	73	24	𝛹𝛹𝑒𝑒𝑒𝑒	𝛹𝛹𝑒𝑒𝑒𝑒	PROPN
arestyrurj-157	73	25	has	have	VERB
arestyrurj-157	73	26	a	a	DET
arestyrurj-157	73	27	mass	mass	ADJ
arestyrurj-157	73	28	term	term	NOUN
arestyrurj-157	73	29	:	:	PUNCT
arestyrurj-157	73	30	𝜔𝜔	𝜔𝜔	ADP
arestyrurj-157	73	31	=	=	SYM
arestyrurj-157	73	32	𝑚𝑚𝑒𝑒𝑒𝑒𝑐𝑐/ℏ	𝑚𝑚𝑒𝑒𝑒𝑒𝑐𝑐/ℏ	PROPN
arestyrurj-157	73	33	.	.	PUNCT
arestyrurj-157	74	1	in	in	ADP
arestyrurj-157	74	2	addition	addition	NOUN
arestyrurj-157	74	3	,	,	PUNCT
arestyrurj-157	74	4	the	the	DET
arestyrurj-157	74	5	gaussian	gaussian	ADJ
arestyrurj-157	74	6	family	family	NOUN
arestyrurj-157	74	7	of	of	ADP
arestyrurj-157	74	8	initial	initial	ADJ
arestyrurj-157	74	9	distributions	distribution	NOUN
arestyrurj-157	74	10	has	have	VERB
arestyrurj-157	74	11	a	a	DET
arestyrurj-157	74	12	parameter	parameter	NOUN
arestyrurj-157	74	13	we	we	PRON
arestyrurj-157	74	14	can	can	AUX
arestyrurj-157	74	15	change	change	VERB
arestyrurj-157	74	16	,	,	PUNCT
arestyrurj-157	74	17	namely	namely	ADV
arestyrurj-157	74	18	the	the	DET
arestyrurj-157	74	19	standard	standard	ADJ
arestyrurj-157	74	20	deviation	deviation	NOUN
arestyrurj-157	74	21	of	of	ADP
arestyrurj-157	74	22	the	the	DET
arestyrurj-157	74	23	probability	probability	NOUN
arestyrurj-157	74	24	distribution	distribution	NOUN
arestyrurj-157	74	25	of	of	ADP
arestyrurj-157	74	26	electron	electron	NOUN
arestyrurj-157	74	27	’s	’s	PART
arestyrurj-157	74	28	initial	initial	ADJ
arestyrurj-157	74	29	position	position	NOUN
arestyrurj-157	74	30	:	:	PUNCT
arestyrurj-157	74	31	𝜎𝜎.	𝜎𝜎.	NOUN
arestyrurj-157	74	32	we	we	PRON
arestyrurj-157	74	33	will	will	AUX
arestyrurj-157	74	34	examine	examine	VERB
arestyrurj-157	74	35	the	the	DET
arestyrurj-157	74	36	effect	effect	NOUN
arestyrurj-157	74	37	of	of	ADP
arestyrurj-157	74	38	these	these	DET
arestyrurj-157	74	39	two	two	NUM
arestyrurj-157	74	40	parameters	parameter	NOUN
arestyrurj-157	74	41	on	on	ADP
arestyrurj-157	74	42	the	the	DET
arestyrurj-157	74	43	joint	joint	ADJ
arestyrurj-157	74	44	dynamics	dynamic	NOUN
arestyrurj-157	74	45	.	.	PUNCT
arestyrurj-157	75	1	iii	iii	X
arestyrurj-157	75	2	.	.	PUNCT
arestyrurj-157	76	1	the	the	DET
arestyrurj-157	76	2	two	two	NUM
arestyrurj-157	76	3	-	-	PUNCT
arestyrurj-157	76	4	body	body	NOUN
arestyrurj-157	76	5	system	system	NOUN
arestyrurj-157	76	6	now	now	ADV
arestyrurj-157	76	7	,	,	PUNCT
arestyrurj-157	76	8	we	we	PRON
arestyrurj-157	76	9	examine	examine	VERB
arestyrurj-157	76	10	the	the	DET
arestyrurj-157	76	11	case	case	NOUN
arestyrurj-157	76	12	in	in	ADP
arestyrurj-157	76	13	which	which	PRON
arestyrurj-157	76	14	a	a	DET
arestyrurj-157	76	15	photon	photon	NOUN
arestyrurj-157	76	16	and	and	CCONJ
arestyrurj-157	76	17	an	an	DET
arestyrurj-157	76	18	electron	electron	NOUN
arestyrurj-157	76	19	are	be	AUX
arestyrurj-157	76	20	both	both	ADV
arestyrurj-157	76	21	present	present	ADJ
arestyrurj-157	76	22	,	,	PUNCT
arestyrurj-157	76	23	but	but	CCONJ
arestyrurj-157	76	24	do	do	AUX
arestyrurj-157	76	25	not	not	PART
arestyrurj-157	76	26	interact	interact	VERB
arestyrurj-157	76	27	.	.	PUNCT
arestyrurj-157	77	1	in	in	ADP
arestyrurj-157	77	2	this	this	DET
arestyrurj-157	77	3	case	case	NOUN
arestyrurj-157	77	4	,	,	PUNCT
arestyrurj-157	77	5	we	we	PRON
arestyrurj-157	77	6	have	have	VERB
arestyrurj-157	77	7	one	one	NUM
arestyrurj-157	77	8	wave	wave	NOUN
arestyrurj-157	77	9	function	function	NOUN
arestyrurj-157	77	10	that	that	PRON
arestyrurj-157	77	11	guides	guide	VERB
arestyrurj-157	77	12	the	the	DET
arestyrurj-157	77	13	motion	motion	NOUN
arestyrurj-157	77	14	of	of	ADP
arestyrurj-157	77	15	each	each	DET
arestyrurj-157	77	16	particle	particle	NOUN
arestyrurj-157	77	17	through	through	ADP
arestyrurj-157	77	18	its	its	PRON
arestyrurj-157	77	19	respective	respective	ADJ
arestyrurj-157	77	20	system	system	NOUN
arestyrurj-157	77	21	of	of	ADP
arestyrurj-157	77	22	guiding	guide	VERB
arestyrurj-157	77	23	equations	equation	NOUN
arestyrurj-157	77	24	.	.	PUNCT
arestyrurj-157	78	1	the	the	DET
arestyrurj-157	78	2	wave	wave	NOUN
arestyrurj-157	78	3	function	function	NOUN
arestyrurj-157	78	4	,	,	PUNCT
arestyrurj-157	78	5	𝜓𝜓	𝜓𝜓	NOUN
arestyrurj-157	78	6	,	,	PUNCT
arestyrurj-157	78	7	is	be	AUX
arestyrurj-157	78	8	a	a	DET
arestyrurj-157	78	9	function	function	NOUN
arestyrurj-157	78	10	of	of	ADP
arestyrurj-157	78	11	four	four	NUM
arestyrurj-157	78	12	variables	variable	NOUN
arestyrurj-157	78	13	,	,	PUNCT
arestyrurj-157	78	14	namely	namely	ADV
arestyrurj-157	78	15	the	the	DET
arestyrurj-157	78	16	time	time	NOUN
arestyrurj-157	78	17	and	and	CCONJ
arestyrurj-157	78	18	position	position	NOUN
arestyrurj-157	78	19	of	of	ADP
arestyrurj-157	78	20	each	each	DET
arestyrurj-157	78	21	particle	particle	NOUN
arestyrurj-157	78	22	.	.	PUNCT
arestyrurj-157	79	1	to	to	PART
arestyrurj-157	79	2	get	get	VERB
arestyrurj-157	79	3	a	a	DET
arestyrurj-157	79	4	wave	wave	NOUN
arestyrurj-157	79	5	function	function	NOUN
arestyrurj-157	79	6	that	that	PRON
arestyrurj-157	79	7	describes	describe	VERB
arestyrurj-157	79	8	both	both	PRON
arestyrurj-157	79	9	a	a	DET
arestyrurj-157	79	10	photon	photon	NOUN
arestyrurj-157	79	11	and	and	CCONJ
arestyrurj-157	79	12	an	an	DET
arestyrurj-157	79	13	electron	electron	NOUN
arestyrurj-157	79	14	in	in	ADP
arestyrurj-157	79	15	a	a	DET
arestyrurj-157	79	16	non	non	ADJ
arestyrurj-157	79	17	-	-	ADJ
arestyrurj-157	79	18	interacting	interacting	ADJ
arestyrurj-157	79	19	system	system	NOUN
arestyrurj-157	79	20	,	,	PUNCT
arestyrurj-157	79	21	we	we	PRON
arestyrurj-157	79	22	take	take	VERB
arestyrurj-157	79	23	the	the	DET
arestyrurj-157	79	24	tensor	tensor	NOUN
arestyrurj-157	79	25	product	product	NOUN
arestyrurj-157	79	26	(	(	PUNCT
arestyrurj-157	79	27	⨂	⨂	NOUN
arestyrurj-157	79	28	)	)	PUNCT
arestyrurj-157	79	29	of	of	ADP
arestyrurj-157	79	30	the	the	DET
arestyrurj-157	79	31	electron	electron	NOUN
arestyrurj-157	79	32	and	and	CCONJ
arestyrurj-157	79	33	the	the	DET
arestyrurj-157	79	34	photon	photon	NOUN
arestyrurj-157	79	35	wave	wave	NOUN
arestyrurj-157	79	36	functions	function	NOUN
arestyrurj-157	79	37	,	,	PUNCT
arestyrurj-157	79	38	giving	give	VERB
arestyrurj-157	79	39	us	we	PRON
arestyrurj-157	79	40	a	a	DET
arestyrurj-157	79	41	four	four	NUM
arestyrurj-157	79	42	component	component	NOUN
arestyrurj-157	79	43	object	object	NOUN
arestyrurj-157	79	44	𝜓𝜓	𝜓𝜓	ADP
arestyrurj-157	79	45	=	=	X
arestyrurj-157	79	46	(	(	PUNCT
arestyrurj-157	79	47	𝜓𝜓−−,𝜓𝜓−+,𝜓𝜓+−,𝜓𝜓++	𝜓𝜓−−,𝜓𝜓−+,𝜓𝜓+−,𝜓𝜓++	PROPN
arestyrurj-157	79	48	)	)	PUNCT
arestyrurj-157	79	49	.	.	PUNCT
arestyrurj-157	80	1	the	the	DET
arestyrurj-157	80	2	guiding	guide	VERB
arestyrurj-157	80	3	equations	equation	NOUN
arestyrurj-157	80	4	for	for	ADP
arestyrurj-157	80	5	photon	photon	NOUN
arestyrurj-157	80	6	and	and	CCONJ
arestyrurj-157	80	7	electron	electron	NOUN
arestyrurj-157	80	8	are	be	AUX
arestyrurj-157	80	9	derived	derive	VERB
arestyrurj-157	80	10	using	use	VERB
arestyrurj-157	80	11	the	the	DET
arestyrurj-157	80	12	hypersurface	hypersurface	NOUN
arestyrurj-157	80	13	bohm	bohm	PROPN
arestyrurj-157	80	14	-	-	PUNCT
arestyrurj-157	80	15	dirac	dirac	NOUN
arestyrurj-157	80	16	(	(	PUNCT
arestyrurj-157	80	17	hbd	hbd	NOUN
arestyrurj-157	80	18	)	)	PUNCT
arestyrurj-157	80	19	theory	theory	NOUN
arestyrurj-157	80	20	,	,	PUNCT
arestyrurj-157	80	21	which	which	PRON
arestyrurj-157	80	22	allows	allow	VERB
arestyrurj-157	80	23	us	we	PRON
arestyrurj-157	80	24	to	to	PART
arestyrurj-157	80	25	describe	describe	VERB
arestyrurj-157	80	26	the	the	DET
arestyrurj-157	80	27	motion	motion	NOUN
arestyrurj-157	80	28	of	of	ADP
arestyrurj-157	80	29	the	the	DET
arestyrurj-157	80	30	photon	photon	NOUN
arestyrurj-157	80	31	and	and	CCONJ
arestyrurj-157	80	32	electron	electron	NOUN
arestyrurj-157	80	33	in	in	ADP
arestyrurj-157	80	34	a	a	DET
arestyrurj-157	80	35	common	common	ADJ
arestyrurj-157	80	36	time	time	NOUN
arestyrurj-157	80	37	coordinate[8	coordinate[8	NOUN
arestyrurj-157	80	38	]	]	PUNCT
arestyrurj-157	80	39	.	.	PUNCT
arestyrurj-157	81	1	the	the	DET
arestyrurj-157	81	2	tensored	tensore	VERB
arestyrurj-157	81	3	wave	wave	NOUN
arestyrurj-157	81	4	function	function	NOUN
arestyrurj-157	81	5	satisfies	satisfy	VERB
arestyrurj-157	81	6	a	a	DET
arestyrurj-157	81	7	relativistic	relativistic	ADJ
arestyrurj-157	81	8	wave	wave	NOUN
arestyrurj-157	81	9	equation	equation	NOUN
arestyrurj-157	81	10	obtained	obtain	VERB
arestyrurj-157	81	11	by	by	ADP
arestyrurj-157	81	12	the	the	DET
arestyrurj-157	81	13	tensor	tensor	NOUN
arestyrurj-157	81	14	product	product	NOUN
arestyrurj-157	81	15	of	of	ADP
arestyrurj-157	81	16	the	the	DET
arestyrurj-157	81	17	photon	photon	NOUN
arestyrurj-157	81	18	and	and	CCONJ
arestyrurj-157	81	19	electron	electron	NOUN
arestyrurj-157	81	20	wave	wave	NOUN
arestyrurj-157	81	21	equations	equation	NOUN
arestyrurj-157	81	22	:	:	PUNCT
arestyrurj-157	81	23	the	the	DET
arestyrurj-157	81	24	joint	joint	ADJ
arestyrurj-157	81	25	probability	probability	NOUN
arestyrurj-157	81	26	current	current	NOUN
arestyrurj-157	81	27	is	be	AUX
arestyrurj-157	81	28	the	the	DET
arestyrurj-157	81	29	following	following	NOUN
arestyrurj-157	81	30	:	:	PUNCT
arestyrurj-157	81	31	then	then	ADV
arestyrurj-157	81	32	,	,	PUNCT
arestyrurj-157	81	33	the	the	DET
arestyrurj-157	81	34	guiding	guide	VERB
arestyrurj-157	81	35	equation	equation	NOUN
arestyrurj-157	81	36	for	for	ADP
arestyrurj-157	81	37	the	the	DET
arestyrurj-157	81	38	photon	photon	NOUN
arestyrurj-157	81	39	is	be	AUX
arestyrurj-157	81	40	given	give	VERB
arestyrurj-157	81	41	by	by	ADP
arestyrurj-157	81	42	:	:	PUNCT
arestyrurj-157	81	43	while	while	SCONJ
arestyrurj-157	81	44	the	the	DET
arestyrurj-157	81	45	guiding	guide	VERB
arestyrurj-157	81	46	equation	equation	NOUN
arestyrurj-157	81	47	for	for	ADP
arestyrurj-157	81	48	the	the	DET
arestyrurj-157	81	49	electron	electron	NOUN
arestyrurj-157	81	50	is	be	AUX
arestyrurj-157	81	51	:	:	PUNCT
arestyrurj-157	81	52	iv	iv	X
arestyrurj-157	81	53	.	.	PUNCT
arestyrurj-157	82	1	the	the	DET
arestyrurj-157	82	2	two	two	NUM
arestyrurj-157	82	3	-	-	PUNCT
arestyrurj-157	82	4	body	body	NOUN
arestyrurj-157	82	5	system	system	NOUN
arestyrurj-157	82	6	to	to	PART
arestyrurj-157	82	7	obtain	obtain	VERB
arestyrurj-157	82	8	an	an	DET
arestyrurj-157	82	9	interacting	interact	VERB
arestyrurj-157	82	10	system	system	NOUN
arestyrurj-157	82	11	from	from	ADP
arestyrurj-157	82	12	our	our	PRON
arestyrurj-157	82	13	two	two	NUM
arestyrurj-157	82	14	-	-	PUNCT
arestyrurj-157	82	15	body	body	NOUN
arestyrurj-157	82	16	non	non	ADJ
arestyrurj-157	82	17	-	-	ADJ
arestyrurj-157	82	18	interacting	interacting	ADJ
arestyrurj-157	82	19	system	system	NOUN
arestyrurj-157	82	20	,	,	PUNCT
arestyrurj-157	82	21	it	it	PRON
arestyrurj-157	82	22	is	be	AUX
arestyrurj-157	82	23	necessary	necessary	ADJ
arestyrurj-157	82	24	to	to	PART
arestyrurj-157	82	25	add	add	VERB
arestyrurj-157	82	26	a	a	DET
arestyrurj-157	82	27	boundary	boundary	ADJ
arestyrurj-157	82	28	condition	condition	NOUN
arestyrurj-157	82	29	that	that	PRON
arestyrurj-157	82	30	prevents	prevent	VERB
arestyrurj-157	82	31	the	the	DET
arestyrurj-157	82	32	particles	particle	NOUN
arestyrurj-157	82	33	from	from	ADP
arestyrurj-157	82	34	simply	simply	ADV
arestyrurj-157	82	35	going	go	VERB
arestyrurj-157	82	36	through	through	ADP
arestyrurj-157	82	37	each	each	DET
arestyrurj-157	82	38	other	other	ADJ
arestyrurj-157	82	39	.	.	PUNCT
arestyrurj-157	83	1	in	in	ADP
arestyrurj-157	83	2	this	this	PRON
arestyrurj-157	83	3	is	be	AUX
arestyrurj-157	83	4	done	do	VERB
arestyrurj-157	83	5	by	by	ADP
arestyrurj-157	83	6	adding	add	VERB
arestyrurj-157	83	7	a	a	DET
arestyrurj-157	83	8	boundary	boundary	ADJ
arestyrurj-157	83	9	condition	condition	NOUN
arestyrurj-157	83	10	on	on	ADP
arestyrurj-157	83	11	the	the	DET
arestyrurj-157	83	12	coincidence	coincidence	NOUN
arestyrurj-157	83	13	set	set	NOUN
arestyrurj-157	83	14	:	:	PUNCT
arestyrurj-157	83	15	they	they	PRON
arestyrurj-157	83	16	set	set	VERB
arestyrurj-157	83	17	the	the	DET
arestyrurj-157	83	18	relative	relative	ADJ
arestyrurj-157	83	19	velocity	velocity	NOUN
arestyrurj-157	83	20	of	of	ADP
arestyrurj-157	83	21	photon	photon	NOUN
arestyrurj-157	83	22	and	and	CCONJ
arestyrurj-157	83	23	electron	electron	NOUN
arestyrurj-157	83	24	to	to	PART
arestyrurj-157	83	25	be	be	AUX
arestyrurj-157	83	26	0	0	NUM
arestyrurj-157	83	27	whenever	whenever	SCONJ
arestyrurj-157	83	28	the	the	DET
arestyrurj-157	83	29	two	two	NUM
arestyrurj-157	83	30	particles	particle	NOUN
arestyrurj-157	83	31	are	be	AUX
arestyrurj-157	83	32	at	at	ADP
arestyrurj-157	83	33	the	the	DET
arestyrurj-157	83	34	same	same	ADJ
arestyrurj-157	83	35	space	space	NOUN
arestyrurj-157	83	36	and	and	CCONJ
arestyrurj-157	83	37	time	time	NOUN
arestyrurj-157	83	38	point[11	point[11	NOUN
arestyrurj-157	83	39	]	]	PUNCT
arestyrurj-157	83	40	.	.	PUNCT
arestyrurj-157	84	1	in	in	ADP
arestyrurj-157	84	2	other	other	ADJ
arestyrurj-157	84	3	words	word	NOUN
arestyrurj-157	84	4	:	:	PUNCT
arestyrurj-157	84	5	when	when	SCONJ
arestyrurj-157	84	6	v.	v.	ADP
arestyrurj-157	84	7	derivation	derivation	NOUN
arestyrurj-157	84	8	of	of	ADP
arestyrurj-157	84	9	compton	compton	PROPN
arestyrurj-157	84	10	scattering	scatter	VERB
arestyrurj-157	84	11	formula	formula	NOUN
arestyrurj-157	84	12	to	to	PART
arestyrurj-157	84	13	better	well	ADV
arestyrurj-157	84	14	explain	explain	VERB
arestyrurj-157	84	15	the	the	DET
arestyrurj-157	84	16	formula	formula	NOUN
arestyrurj-157	84	17	used	use	VERB
arestyrurj-157	84	18	to	to	PART
arestyrurj-157	84	19	calculate	calculate	VERB
arestyrurj-157	84	20	predicted	predict	VERB
arestyrurj-157	84	21	momentum	momentum	NOUN
arestyrurj-157	84	22	of	of	ADP
arestyrurj-157	84	23	particles	particle	NOUN
arestyrurj-157	84	24	in	in	ADP
arestyrurj-157	84	25	the	the	DET
arestyrurj-157	84	26	system	system	NOUN
arestyrurj-157	84	27	,	,	PUNCT
arestyrurj-157	84	28	we	we	PRON
arestyrurj-157	84	29	present	present	VERB
arestyrurj-157	84	30	a	a	DET
arestyrurj-157	84	31	short	short	ADJ
arestyrurj-157	84	32	derivation	derivation	NOUN
arestyrurj-157	84	33	of	of	ADP
arestyrurj-157	84	34	the	the	DET
arestyrurj-157	84	35	original	original	ADJ
arestyrurj-157	84	36	compton	compton	NOUN
arestyrurj-157	84	37	scattering	scatter	VERB
arestyrurj-157	84	38	formula	formula	NOUN
arestyrurj-157	84	39	in	in	ADP
arestyrurj-157	84	40	our	our	PRON
arestyrurj-157	84	41	one	one	NUM
arestyrurj-157	84	42	-	-	PUNCT
arestyrurj-157	84	43	dimensional	dimensional	ADJ
arestyrurj-157	84	44	setting	setting	NOUN
arestyrurj-157	84	45	.	.	PUNCT
arestyrurj-157	85	1	assume	assume	VERB
arestyrurj-157	85	2	we	we	PRON
arestyrurj-157	85	3	have	have	VERB
arestyrurj-157	85	4	positive	positive	ADJ
arestyrurj-157	85	5	energy	energy	NOUN
arestyrurj-157	85	6	plane	plane	NOUN
arestyrurj-157	85	7	waves	wave	NOUN
arestyrurj-157	85	8	going	go	VERB
arestyrurj-157	85	9	into	into	ADP
arestyrurj-157	85	10	and	and	CCONJ
arestyrurj-157	85	11	coming	come	VERB
arestyrurj-157	85	12	out	out	ADP
arestyrurj-157	85	13	of	of	ADP
arestyrurj-157	85	14	the	the	DET
arestyrurj-157	85	15	scattering	scatter	VERB
arestyrurj-157	85	16	zone	zone	NOUN
arestyrurj-157	85	17	.	.	PUNCT
arestyrurj-157	86	1	assume	assume	VERB
arestyrurj-157	86	2	that	that	SCONJ
arestyrurj-157	86	3	conservation	conservation	NOUN
arestyrurj-157	86	4	of	of	ADP
arestyrurj-157	86	5	momentum	momentum	NOUN
arestyrurj-157	86	6	and	and	CCONJ
arestyrurj-157	86	7	energy	energy	NOUN
arestyrurj-157	86	8	still	still	ADV
arestyrurj-157	86	9	hold	hold	VERB
arestyrurj-157	86	10	.	.	PUNCT
arestyrurj-157	87	1	(	(	PUNCT
arestyrurj-157	87	2	2.1	2.1	NUM
arestyrurj-157	87	3	)	)	PUNCT
arestyrurj-157	87	4	(	(	PUNCT
arestyrurj-157	87	5	2.2	2.2	NUM
arestyrurj-157	87	6	)	)	PUNCT
arestyrurj-157	87	7	(	(	PUNCT
arestyrurj-157	87	8	2.3	2.3	NUM
arestyrurj-157	87	9	)	)	PUNCT
arestyrurj-157	87	10	(	(	PUNCT
arestyrurj-157	87	11	2.4	2.4	NUM
arestyrurj-157	87	12	)	)	PUNCT
arestyrurj-157	87	13	aresty	aresty	ADJ
arestyrurj-157	87	14	rutgers	rutgers	PROPN
arestyrurj-157	87	15	undergraduate	undergraduate	PROPN
arestyrurj-157	87	16	research	research	PROPN
arestyrurj-157	87	17	journal	journal	PROPN
arestyrurj-157	87	18	,	,	PUNCT
arestyrurj-157	87	19	volume	volume	NOUN
arestyrurj-157	87	20	i	i	PRON
arestyrurj-157	87	21	,	,	PUNCT
arestyrurj-157	87	22	issue	issue	VERB
arestyrurj-157	87	23	ii	ii	NOUN
arestyrurj-157	87	24	conservation	conservation	NOUN
arestyrurj-157	87	25	of	of	ADP
arestyrurj-157	87	26	momentum	momentum	NOUN
arestyrurj-157	87	27	means	mean	VERB
arestyrurj-157	87	28	:	:	PUNCT
arestyrurj-157	87	29	going	go	VERB
arestyrurj-157	87	30	into	into	ADP
arestyrurj-157	87	31	the	the	DET
arestyrurj-157	87	32	rest	rest	NOUN
arestyrurj-157	87	33	frame	frame	NOUN
arestyrurj-157	87	34	of	of	ADP
arestyrurj-157	87	35	electron	electron	NOUN
arestyrurj-157	87	36	,	,	PUNCT
arestyrurj-157	87	37	𝑘𝑘𝑒𝑒𝑒𝑒𝑖𝑖𝑖𝑖	𝑘𝑘𝑒𝑒𝑒𝑒𝑖𝑖𝑖𝑖	NOUN
arestyrurj-157	87	38	becomes	become	VERB
arestyrurj-157	87	39	0	0	NUM
arestyrurj-157	87	40	.	.	PUNCT
arestyrurj-157	88	1	hence	hence	ADV
arestyrurj-157	88	2	:	:	PUNCT
arestyrurj-157	88	3	suppose	suppose	VERB
arestyrurj-157	88	4	the	the	DET
arestyrurj-157	88	5	photon	photon	NOUN
arestyrurj-157	88	6	is	be	AUX
arestyrurj-157	88	7	approaching	approach	VERB
arestyrurj-157	88	8	the	the	DET
arestyrurj-157	88	9	electron	electron	NOUN
arestyrurj-157	88	10	from	from	ADP
arestyrurj-157	88	11	the	the	DET
arestyrurj-157	88	12	right	right	NOUN
arestyrurj-157	88	13	.	.	PUNCT
arestyrurj-157	89	1	thus	thus	ADV
arestyrurj-157	89	2	𝑘𝑘𝑝𝑝ℎ𝑖𝑖𝑖𝑖	𝑘𝑘𝑝𝑝ℎ𝑖𝑖𝑖𝑖	VERB
arestyrurj-157	89	3	>	>	X
arestyrurj-157	89	4	0	0	PUNCT
arestyrurj-157	89	5	.	.	PUNCT
arestyrurj-157	90	1	conservation	conservation	NOUN
arestyrurj-157	90	2	of	of	ADP
arestyrurj-157	90	3	energy	energy	NOUN
arestyrurj-157	90	4	is	be	AUX
arestyrurj-157	90	5	given	give	VERB
arestyrurj-157	90	6	by	by	ADP
arestyrurj-157	90	7	:	:	PUNCT
arestyrurj-157	90	8	(	(	PUNCT
arestyrurj-157	90	9	here	here	ADV
arestyrurj-157	90	10	and	and	CCONJ
arestyrurj-157	90	11	henceforth	henceforth	ADV
arestyrurj-157	90	12	,	,	PUNCT
arestyrurj-157	90	13	we	we	PRON
arestyrurj-157	90	14	have	have	AUX
arestyrurj-157	90	15	chosen	choose	VERB
arestyrurj-157	90	16	units	unit	NOUN
arestyrurj-157	90	17	in	in	ADP
arestyrurj-157	90	18	which	which	PRON
arestyrurj-157	90	19	the	the	DET
arestyrurj-157	90	20	speed	speed	NOUN
arestyrurj-157	90	21	of	of	ADP
arestyrurj-157	90	22	light	light	NOUN
arestyrurj-157	90	23	in	in	ADP
arestyrurj-157	90	24	vacuum	vacuum	NOUN
arestyrurj-157	90	25	is	be	AUX
arestyrurj-157	90	26	𝑐𝑐	𝑐𝑐	NOUN
arestyrurj-157	90	27	=	=	VERB
arestyrurj-157	90	28	1	1	NUM
arestyrurj-157	90	29	.	.	PUNCT
arestyrurj-157	90	30	)	)	PUNCT
arestyrurj-157	91	1	substituting	substitute	VERB
arestyrurj-157	91	2	equation	equation	NOUN
arestyrurj-157	91	3	2.6	2.6	NUM
arestyrurj-157	91	4	into	into	ADP
arestyrurj-157	91	5	equation	equation	NOUN
arestyrurj-157	91	6	2.7	2.7	NUM
arestyrurj-157	91	7	and	and	CCONJ
arestyrurj-157	91	8	attempting	attempt	VERB
arestyrurj-157	91	9	to	to	PART
arestyrurj-157	91	10	solve	solve	VERB
arestyrurj-157	91	11	for	for	ADP
arestyrurj-157	91	12	𝑘𝑘𝑝𝑝ℎ𝑜𝑜𝑜𝑜𝑜𝑜	𝑘𝑘𝑝𝑝ℎ𝑜𝑜𝑜𝑜𝑜𝑜	NOUN
arestyrurj-157	91	13	we	we	PRON
arestyrurj-157	91	14	observe	observe	VERB
arestyrurj-157	91	15	that	that	SCONJ
arestyrurj-157	91	16	choosing	choose	VERB
arestyrurj-157	91	17	the	the	DET
arestyrurj-157	91	18	plus	plus	ADJ
arestyrurj-157	91	19	sign	sign	NOUN
arestyrurj-157	91	20	in	in	ADP
arestyrurj-157	91	21	the	the	DET
arestyrurj-157	91	22	right	right	ADJ
arestyrurj-157	91	23	-	-	PUNCT
arestyrurj-157	91	24	hand	hand	NOUN
arestyrurj-157	91	25	-	-	PUNCT
arestyrurj-157	91	26	side	side	NOUN
arestyrurj-157	91	27	of	of	ADP
arestyrurj-157	91	28	equation	equation	NOUN
arestyrurj-157	91	29	2.7	2.7	NUM
arestyrurj-157	91	30	yields	yield	NOUN
arestyrurj-157	91	31	no	no	DET
arestyrurj-157	91	32	solution	solution	NOUN
arestyrurj-157	91	33	.	.	PUNCT
arestyrurj-157	92	1	thus	thus	ADV
arestyrurj-157	92	2	,	,	PUNCT
arestyrurj-157	92	3	the	the	DET
arestyrurj-157	92	4	only	only	ADJ
arestyrurj-157	92	5	option	option	NOUN
arestyrurj-157	92	6	is	be	AUX
arestyrurj-157	92	7	to	to	PART
arestyrurj-157	92	8	choose	choose	VERB
arestyrurj-157	92	9	the	the	DET
arestyrurj-157	92	10	negative	negative	ADJ
arestyrurj-157	92	11	sign	sign	NOUN
arestyrurj-157	92	12	,	,	PUNCT
arestyrurj-157	92	13	which	which	PRON
arestyrurj-157	92	14	implies	imply	VERB
arestyrurj-157	92	15	that	that	SCONJ
arestyrurj-157	93	1	𝑘𝑘𝑝𝑝ℎ𝑜𝑜𝑜𝑜𝑜𝑜	𝑘𝑘𝑝𝑝ℎ𝑜𝑜𝑜𝑜𝑜𝑜	INTJ
arestyrurj-157	93	2	<	<	X
arestyrurj-157	93	3	0	0	PUNCT
arestyrurj-157	93	4	since	since	SCONJ
arestyrurj-157	93	5	we	we	PRON
arestyrurj-157	93	6	have	have	AUX
arestyrurj-157	93	7	assumed	assume	VERB
arestyrurj-157	93	8	that	that	SCONJ
arestyrurj-157	93	9	the	the	DET
arestyrurj-157	93	10	plane	plane	NOUN
arestyrurj-157	93	11	waves	wave	NOUN
arestyrurj-157	93	12	have	have	VERB
arestyrurj-157	93	13	positive	positive	ADJ
arestyrurj-157	93	14	energy	energy	NOUN
arestyrurj-157	93	15	.	.	PUNCT
arestyrurj-157	94	1	as	as	ADP
arestyrurj-157	94	2	a	a	DET
arestyrurj-157	94	3	consequence	consequence	NOUN
arestyrurj-157	94	4	,	,	PUNCT
arestyrurj-157	94	5	the	the	DET
arestyrurj-157	94	6	direction	direction	NOUN
arestyrurj-157	94	7	of	of	ADP
arestyrurj-157	94	8	motion	motion	NOUN
arestyrurj-157	94	9	of	of	ADP
arestyrurj-157	94	10	the	the	DET
arestyrurj-157	94	11	photon	photon	NOUN
arestyrurj-157	94	12	has	have	AUX
arestyrurj-157	94	13	changed	change	VERB
arestyrurj-157	94	14	after	after	ADP
arestyrurj-157	94	15	the	the	DET
arestyrurj-157	94	16	scattering	scatter	VERB
arestyrurj-157	94	17	event	event	NOUN
arestyrurj-157	94	18	.	.	PUNCT
arestyrurj-157	95	1	solving	solve	VERB
arestyrurj-157	95	2	for	for	ADP
arestyrurj-157	95	3	𝑘𝑘𝑝𝑝ℎ𝑜𝑜𝑜𝑜𝑜𝑜	𝑘𝑘𝑝𝑝ℎ𝑜𝑜𝑜𝑜𝑜𝑜	PRON
arestyrurj-157	95	4	then	then	ADV
arestyrurj-157	95	5	yields	yield	VERB
arestyrurj-157	95	6	the	the	DET
arestyrurj-157	95	7	scattering	scatter	VERB
arestyrurj-157	95	8	formula	formula	NOUN
arestyrurj-157	95	9	:	:	PUNCT
arestyrurj-157	95	10	we	we	PRON
arestyrurj-157	95	11	note	note	VERB
arestyrurj-157	95	12	that	that	SCONJ
arestyrurj-157	95	13	this	this	PRON
arestyrurj-157	95	14	agrees	agree	VERB
arestyrurj-157	95	15	with	with	ADP
arestyrurj-157	95	16	the	the	DET
arestyrurj-157	95	17	three	three	NUM
arestyrurj-157	95	18	-	-	PUNCT
arestyrurj-157	95	19	dimensional	dimensional	ADJ
arestyrurj-157	95	20	compton	compton	NOUN
arestyrurj-157	95	21	scattering	scatter	VERB
arestyrurj-157	95	22	formula	formula	NOUN
arestyrurj-157	95	23	derived	derive	VERB
arestyrurj-157	95	24	in	in	ADP
arestyrurj-157	95	25	the	the	DET
arestyrurj-157	95	26	1923	1923	NUM
arestyrurj-157	95	27	paper	paper	NOUN
arestyrurj-157	95	28	if	if	SCONJ
arestyrurj-157	95	29	the	the	DET
arestyrurj-157	95	30	scattering	scatter	VERB
arestyrurj-157	95	31	angle	angle	NOUN
arestyrurj-157	95	32	in	in	ADP
arestyrurj-157	95	33	that	that	DET
arestyrurj-157	95	34	formula	formula	NOUN
arestyrurj-157	95	35	is	be	AUX
arestyrurj-157	95	36	set	set	VERB
arestyrurj-157	95	37	to	to	PART
arestyrurj-157	95	38	𝜋𝜋.	𝜋𝜋.	VERB
arestyrurj-157	95	39	this	this	DET
arestyrurj-157	95	40	formula	formula	NOUN
arestyrurj-157	95	41	also	also	ADV
arestyrurj-157	95	42	suggests	suggest	VERB
arestyrurj-157	95	43	that	that	SCONJ
arestyrurj-157	95	44	the	the	DET
arestyrurj-157	95	45	frequency	frequency	NOUN
arestyrurj-157	95	46	of	of	ADP
arestyrurj-157	95	47	the	the	DET
arestyrurj-157	95	48	scattered	scatter	VERB
arestyrurj-157	95	49	x	x	NOUN
arestyrurj-157	95	50	-	-	NOUN
arestyrurj-157	95	51	ray	ray	NOUN
arestyrurj-157	95	52	will	will	AUX
arestyrurj-157	95	53	be	be	AUX
arestyrurj-157	95	54	lower	low	ADJ
arestyrurj-157	95	55	than	than	ADP
arestyrurj-157	95	56	the	the	DET
arestyrurj-157	95	57	frequency	frequency	NOUN
arestyrurj-157	95	58	of	of	ADP
arestyrurj-157	95	59	the	the	DET
arestyrurj-157	95	60	incident	incident	NOUN
arestyrurj-157	95	61	ray	ray	NOUN
arestyrurj-157	95	62	and	and	CCONJ
arestyrurj-157	95	63	that	that	SCONJ
arestyrurj-157	95	64	the	the	DET
arestyrurj-157	95	65	difference	difference	NOUN
arestyrurj-157	95	66	in	in	ADP
arestyrurj-157	95	67	the	the	DET
arestyrurj-157	95	68	momentum	momentum	NOUN
arestyrurj-157	95	69	and	and	CCONJ
arestyrurj-157	95	70	energy	energy	NOUN
arestyrurj-157	95	71	is	be	AUX
arestyrurj-157	95	72	transferred	transfer	VERB
arestyrurj-157	95	73	to	to	ADP
arestyrurj-157	95	74	the	the	DET
arestyrurj-157	95	75	electron	electron	NOUN
arestyrurj-157	95	76	.	.	PUNCT
arestyrurj-157	96	1	more	more	ADV
arestyrurj-157	96	2	precisely	precisely	ADV
arestyrurj-157	96	3	,	,	PUNCT
arestyrurj-157	96	4	combining	combine	VERB
arestyrurj-157	96	5	equation	equation	NOUN
arestyrurj-157	96	6	2.8	2.8	NUM
arestyrurj-157	96	7	with	with	ADP
arestyrurj-157	96	8	equation	equation	NOUN
arestyrurj-157	96	9	2.6	2.6	NUM
arestyrurj-157	96	10	and	and	CCONJ
arestyrurj-157	96	11	recalling	recall	VERB
arestyrurj-157	96	12	that	that	PRON
arestyrurj-157	96	13	𝜔𝜔	𝜔𝜔	ADP
arestyrurj-157	96	14	=	=	SYM
arestyrurj-157	96	15	𝑚𝑚𝑒𝑒𝑒𝑒𝑐𝑐/ℏ	𝑚𝑚𝑒𝑒𝑒𝑒𝑐𝑐/ℏ	PUNCT
arestyrurj-157	96	16	one	one	NUM
arestyrurj-157	96	17	obtains	obtain	VERB
arestyrurj-157	96	18	:	:	PUNCT
arestyrurj-157	96	19	3	3	NUM
arestyrurj-157	96	20	results	result	NOUN
arestyrurj-157	96	21	throughout	throughout	ADP
arestyrurj-157	96	22	the	the	DET
arestyrurj-157	96	23	results	result	NOUN
arestyrurj-157	96	24	section	section	NOUN
arestyrurj-157	96	25	,	,	PUNCT
arestyrurj-157	96	26	it	it	PRON
arestyrurj-157	96	27	is	be	AUX
arestyrurj-157	96	28	important	important	ADJ
arestyrurj-157	96	29	to	to	PART
arestyrurj-157	96	30	note	note	VERB
arestyrurj-157	96	31	that	that	DET
arestyrurj-157	96	32	time	time	NOUN
arestyrurj-157	96	33	is	be	AUX
arestyrurj-157	96	34	measured	measure	VERB
arestyrurj-157	96	35	in	in	ADP
arestyrurj-157	96	36	attoseconds	attosecond	NOUN
arestyrurj-157	96	37	(	(	PUNCT
arestyrurj-157	96	38	10—18	10—18	NUM
arestyrurj-157	96	39	seconds	second	NOUN
arestyrurj-157	96	40	)	)	PUNCT
arestyrurj-157	96	41	,	,	PUNCT
arestyrurj-157	96	42	and	and	CCONJ
arestyrurj-157	96	43	length	length	NOUN
arestyrurj-157	96	44	is	be	AUX
arestyrurj-157	96	45	measured	measure	VERB
arestyrurj-157	96	46	in	in	ADP
arestyrurj-157	96	47	units	unit	NOUN
arestyrurj-157	96	48	of	of	ADP
arestyrurj-157	96	49	approximately	approximately	ADV
arestyrurj-157	96	50	3	3	NUM
arestyrurj-157	96	51	angstroms	angstrom	NOUN
arestyrurj-157	96	52	(	(	PUNCT
arestyrurj-157	96	53	2.997924	2.997924	NUM
arestyrurj-157	96	54	×	×	NOUN
arestyrurj-157	96	55	10—10	10—10	NUM
arestyrurj-157	96	56	meters	meter	NOUN
arestyrurj-157	96	57	)	)	PUNCT
arestyrurj-157	96	58	.	.	PUNCT
arestyrurj-157	97	1	in	in	ADP
arestyrurj-157	97	2	these	these	DET
arestyrurj-157	97	3	units	unit	NOUN
arestyrurj-157	97	4	the	the	DET
arestyrurj-157	97	5	speed	speed	NOUN
arestyrurj-157	97	6	of	of	ADP
arestyrurj-157	97	7	light	light	NOUN
arestyrurj-157	97	8	in	in	ADP
arestyrurj-157	97	9	vacuum	vacuum	NOUN
arestyrurj-157	97	10	is	be	AUX
arestyrurj-157	97	11	equal	equal	ADJ
arestyrurj-157	97	12	to	to	ADP
arestyrurj-157	97	13	1	1	NUM
arestyrurj-157	97	14	unit	unit	NOUN
arestyrurj-157	97	15	of	of	ADP
arestyrurj-157	97	16	length	length	NOUN
arestyrurj-157	97	17	over	over	ADP
arestyrurj-157	97	18	time	time	NOUN
arestyrurj-157	97	19	.	.	PUNCT
arestyrurj-157	98	1	i.	i.	PROPN
arestyrurj-157	98	2	single	single	PROPN
arestyrurj-157	98	3	photon	photon	PROPN
arestyrurj-157	98	4	motion	motion	NOUN
arestyrurj-157	98	5	the	the	DET
arestyrurj-157	98	6	photon	photon	NOUN
arestyrurj-157	98	7	probability	probability	NOUN
arestyrurj-157	98	8	density	density	NOUN
arestyrurj-157	98	9	looks	look	VERB
arestyrurj-157	98	10	like	like	ADP
arestyrurj-157	98	11	this	this	PRON
arestyrurj-157	98	12	:	:	PUNCT
arestyrurj-157	98	13	https://reu.dimacs.rutgers.edu/~aas377/photon_pdf.mp4	https://reu.dimacs.rutgers.edu/~aas377/photon_pdf.mp4	NOUN
arestyrurj-157	98	14	varying	vary	VERB
arestyrurj-157	98	15	the	the	DET
arestyrurj-157	98	16	standard	standard	ADJ
arestyrurj-157	98	17	deviation	deviation	NOUN
arestyrurj-157	98	18	of	of	ADP
arestyrurj-157	98	19	the	the	DET
arestyrurj-157	98	20	initial	initial	ADJ
arestyrurj-157	98	21	profile	profile	NOUN
arestyrurj-157	98	22	gives	give	VERB
arestyrurj-157	98	23	us	we	PRON
arestyrurj-157	98	24	the	the	DET
arestyrurj-157	98	25	following	following	NOUN
arestyrurj-157	98	26	:	:	PUNCT
arestyrurj-157	98	27	https://reu.dimacs.rutgers.edu/~aas377/multiple_photon_pdf.mp4	https://reu.dimacs.rutgers.edu/~aas377/multiple_photon_pdf.mp4	NOUN
arestyrurj-157	98	28	figure	figure	NOUN
arestyrurj-157	98	29	2	2	NUM
arestyrurj-157	98	30	shows	show	VERB
arestyrurj-157	98	31	multiple	multiple	ADJ
arestyrurj-157	98	32	trajectories	trajectory	NOUN
arestyrurj-157	98	33	,	,	PUNCT
arestyrurj-157	98	34	each	each	PRON
arestyrurj-157	98	35	with	with	ADP
arestyrurj-157	98	36	slightly	slightly	ADV
arestyrurj-157	98	37	different	different	ADJ
arestyrurj-157	98	38	initial	initial	ADJ
arestyrurj-157	98	39	positions	position	NOUN
arestyrurj-157	98	40	.	.	PUNCT
arestyrurj-157	99	1	ii	ii	PROPN
arestyrurj-157	99	2	.	.	PUNCT
arestyrurj-157	99	3	single	single	ADJ
arestyrurj-157	99	4	electron	electron	NOUN
arestyrurj-157	99	5	motion	motion	NOUN
arestyrurj-157	99	6	the	the	DET
arestyrurj-157	99	7	evolution	evolution	NOUN
arestyrurj-157	99	8	of	of	ADP
arestyrurj-157	99	9	the	the	DET
arestyrurj-157	99	10	probability	probability	NOUN
arestyrurj-157	99	11	distribution	distribution	NOUN
arestyrurj-157	99	12	of	of	ADP
arestyrurj-157	99	13	the	the	DET
arestyrurj-157	99	14	electron	electron	NOUN
arestyrurj-157	99	15	’s	’s	PART
arestyrurj-157	99	16	position	position	NOUN
arestyrurj-157	99	17	can	can	AUX
arestyrurj-157	99	18	be	be	AUX
arestyrurj-157	99	19	found	find	VERB
arestyrurj-157	99	20	here	here	ADV
arestyrurj-157	99	21	:	:	PUNCT
arestyrurj-157	99	22	http://reu.dimacs.rutgers.edu/~aas377/electron_new.mp4	http://reu.dimacs.rutgers.edu/~aas377/electron_new.mp4	NOUN
arestyrurj-157	99	23	figure	figure	NOUN
arestyrurj-157	99	24	3	3	NUM
arestyrurj-157	99	25	shows	show	VERB
arestyrurj-157	99	26	the	the	DET
arestyrurj-157	99	27	trajectories	trajectory	NOUN
arestyrurj-157	99	28	of	of	ADP
arestyrurj-157	99	29	many	many	ADJ
arestyrurj-157	99	30	electrons	electron	NOUN
arestyrurj-157	99	31	,	,	PUNCT
arestyrurj-157	99	32	each	each	PRON
arestyrurj-157	99	33	in	in	ADP
arestyrurj-157	99	34	a	a	DET
arestyrurj-157	99	35	single	single	ADJ
arestyrurj-157	99	36	-	-	PUNCT
arestyrurj-157	99	37	body	body	NOUN
arestyrurj-157	99	38	system	system	NOUN
arestyrurj-157	99	39	guided	guide	VERB
arestyrurj-157	99	40	by	by	ADP
arestyrurj-157	99	41	its	its	PRON
arestyrurj-157	99	42	single	single	ADJ
arestyrurj-157	99	43	wave	wave	NOUN
arestyrurj-157	99	44	function	function	NOUN
arestyrurj-157	99	45	through	through	ADP
arestyrurj-157	99	46	its	its	PRON
arestyrurj-157	99	47	guiding	guide	VERB
arestyrurj-157	99	48	equation	equation	NOUN
arestyrurj-157	99	49	,	,	PUNCT
arestyrurj-157	99	50	with	with	ADP
arestyrurj-157	99	51	different	different	ADJ
arestyrurj-157	99	52	initial	initial	ADJ
arestyrurj-157	99	53	conditions	condition	NOUN
arestyrurj-157	99	54	for	for	ADP
arestyrurj-157	99	55	each	each	DET
arestyrurj-157	99	56	electron	electron	NOUN
arestyrurj-157	99	57	.	.	PUNCT
arestyrurj-157	100	1	unlike	unlike	ADP
arestyrurj-157	100	2	the	the	DET
arestyrurj-157	100	3	trajectories	trajectory	NOUN
arestyrurj-157	100	4	of	of	ADP
arestyrurj-157	100	5	the	the	DET
arestyrurj-157	100	6	photon	photon	NOUN
arestyrurj-157	100	7	,	,	PUNCT
arestyrurj-157	100	8	the	the	DET
arestyrurj-157	100	9	trajectories	trajectory	NOUN
arestyrurj-157	100	10	of	of	ADP
arestyrurj-157	100	11	the	the	DET
arestyrurj-157	100	12	electron	electron	NOUN
arestyrurj-157	100	13	exhibit	exhibit	NOUN
arestyrurj-157	100	14	oscillations	oscillation	NOUN
arestyrurj-157	100	15	and	and	CCONJ
arestyrurj-157	100	16	travel	travel	VERB
arestyrurj-157	100	17	slower	slow	ADJ
arestyrurj-157	100	18	than	than	ADP
arestyrurj-157	100	19	the	the	DET
arestyrurj-157	100	20	speed	speed	NOUN
arestyrurj-157	100	21	of	of	ADP
arestyrurj-157	100	22	light	light	NOUN
arestyrurj-157	100	23	.	.	PUNCT
arestyrurj-157	101	1	iii	iii	X
arestyrurj-157	101	2	.	.	PUNCT
arestyrurj-157	102	1	non	non	ADJ
arestyrurj-157	102	2	-	-	ADJ
arestyrurj-157	102	3	interacting	interact	VERB
arestyrurj-157	102	4	two	two	NUM
arestyrurj-157	102	5	-	-	PUNCT
arestyrurj-157	102	6	body	body	NOUN
arestyrurj-157	102	7	system	system	NOUN
arestyrurj-157	102	8	since	since	SCONJ
arestyrurj-157	102	9	tensor	tensor	NOUN
arestyrurj-157	102	10	products	product	NOUN
arestyrurj-157	102	11	preserve	preserve	VERB
arestyrurj-157	102	12	probability	probability	NOUN
arestyrurj-157	102	13	distributions	distribution	NOUN
arestyrurj-157	102	14	,	,	PUNCT
arestyrurj-157	102	15	“	"	PUNCT
arestyrurj-157	102	16	multiplying	multiply	VERB
arestyrurj-157	102	17	”	"	PUNCT
arestyrurj-157	102	18	the	the	DET
arestyrurj-157	102	19	probability	probability	NOUN
arestyrurj-157	102	20	density	density	NOUN
arestyrurj-157	102	21	movies	movie	NOUN
arestyrurj-157	102	22	of	of	ADP
arestyrurj-157	102	23	the	the	DET
arestyrurj-157	102	24	photon	photon	NOUN
arestyrurj-157	102	25	and	and	CCONJ
arestyrurj-157	102	26	electron	electron	NOUN
arestyrurj-157	102	27	gives	give	VERB
arestyrurj-157	102	28	the	the	DET
arestyrurj-157	102	29	joint	joint	ADJ
arestyrurj-157	102	30	probability	probability	NOUN
arestyrurj-157	102	31	density	density	NOUN
arestyrurj-157	102	32	for	for	ADP
arestyrurj-157	102	33	the	the	DET
arestyrurj-157	102	34	non	non	ADJ
arestyrurj-157	102	35	-	-	ADJ
arestyrurj-157	102	36	interacting	interacting	ADJ
arestyrurj-157	102	37	system	system	NOUN
arestyrurj-157	102	38	.	.	PUNCT
arestyrurj-157	103	1	since	since	SCONJ
arestyrurj-157	103	2	there	there	PRON
arestyrurj-157	103	3	is	be	VERB
arestyrurj-157	103	4	no	no	DET
arestyrurj-157	103	5	interaction	interaction	NOUN
arestyrurj-157	103	6	,	,	PUNCT
arestyrurj-157	103	7	we	we	PRON
arestyrurj-157	103	8	expect	expect	VERB
arestyrurj-157	103	9	the	the	DET
arestyrurj-157	103	10	joint	joint	ADJ
arestyrurj-157	103	11	probability	probability	NOUN
arestyrurj-157	103	12	density	density	NOUN
arestyrurj-157	103	13	to	to	PART
arestyrurj-157	103	14	be	be	AUX
arestyrurj-157	103	15	simply	simply	ADV
arestyrurj-157	103	16	the	the	DET
arestyrurj-157	103	17	product	product	NOUN
arestyrurj-157	103	18	of	of	ADP
arestyrurj-157	103	19	the	the	DET
arestyrurj-157	103	20	probability	probability	NOUN
arestyrurj-157	103	21	density	density	NOUN
arestyrurj-157	103	22	of	of	ADP
arestyrurj-157	103	23	a	a	DET
arestyrurj-157	103	24	single	single	ADJ
arestyrurj-157	103	25	electron	electron	NOUN
arestyrurj-157	103	26	and	and	CCONJ
arestyrurj-157	103	27	that	that	PRON
arestyrurj-157	103	28	of	of	ADP
arestyrurj-157	103	29	a	a	DET
arestyrurj-157	103	30	single	single	ADJ
arestyrurj-157	103	31	photon	photon	NOUN
arestyrurj-157	103	32	.	.	PUNCT
arestyrurj-157	104	1	the	the	DET
arestyrurj-157	104	2	numerical	numerical	ADJ
arestyrurj-157	104	3	results	result	NOUN
arestyrurj-157	104	4	confirm	confirm	VERB
arestyrurj-157	104	5	our	our	PRON
arestyrurj-157	104	6	expectation	expectation	NOUN
arestyrurj-157	104	7	.	.	PUNCT
arestyrurj-157	105	1	https://reu.dimacs.rutgers.edu/~aas377/non_int_pdf_mesh_new.mp4	https://reu.dimacs.rutgers.edu/~aas377/non_int_pdf_mesh_new.mp4	NOUN
arestyrurj-157	105	2	by	by	ADP
arestyrurj-157	105	3	solving	solve	VERB
arestyrurj-157	105	4	the	the	DET
arestyrurj-157	105	5	system	system	NOUN
arestyrurj-157	105	6	of	of	ADP
arestyrurj-157	105	7	guiding	guide	VERB
arestyrurj-157	105	8	equations	equation	NOUN
arestyrurj-157	105	9	,	,	PUNCT
arestyrurj-157	105	10	we	we	PRON
arestyrurj-157	105	11	obtain	obtain	VERB
arestyrurj-157	105	12	figure	figure	NOUN
arestyrurj-157	105	13	4	4	NUM
arestyrurj-157	105	14	,	,	PUNCT
arestyrurj-157	105	15	which	which	PRON
arestyrurj-157	105	16	shows	show	VERB
arestyrurj-157	105	17	the	the	DET
arestyrurj-157	105	18	trajectories	trajectory	NOUN
arestyrurj-157	105	19	of	of	ADP
arestyrurj-157	105	20	a	a	DET
arestyrurj-157	105	21	non	non	ADJ
arestyrurj-157	105	22	-	-	ADJ
arestyrurj-157	105	23	interacting	interacting	ADJ
arestyrurj-157	105	24	system	system	NOUN
arestyrurj-157	105	25	of	of	ADP
arestyrurj-157	105	26	one	one	NUM
arestyrurj-157	105	27	electron	electron	NOUN
arestyrurj-157	105	28	and	and	CCONJ
arestyrurj-157	105	29	one	one	NUM
arestyrurj-157	105	30	photon	photon	NOUN
arestyrurj-157	105	31	.	.	PUNCT
arestyrurj-157	106	1	(	(	PUNCT
arestyrurj-157	106	2	2.6	2.6	NUM
arestyrurj-157	106	3	)	)	PUNCT
arestyrurj-157	106	4	(	(	PUNCT
arestyrurj-157	106	5	2.7	2.7	NUM
arestyrurj-157	106	6	)	)	PUNCT
arestyrurj-157	106	7	(	(	PUNCT
arestyrurj-157	106	8	2.8	2.8	NUM
arestyrurj-157	106	9	)	)	PUNCT
arestyrurj-157	106	10	(	(	PUNCT
arestyrurj-157	106	11	2.9	2.9	NUM
arestyrurj-157	106	12	)	)	PUNCT
arestyrurj-157	107	1	https://reu.dimacs.rutgers.edu/%7eaas377/photon_pdf.mp4	https://reu.dimacs.rutgers.edu/%7eaas377/photon_pdf.mp4	NOUN
arestyrurj-157	107	2	https://reu.dimacs.rutgers.edu/%7eaas377/multiple_photon_pdf.mp4	https://reu.dimacs.rutgers.edu/%7eaas377/multiple_photon_pdf.mp4	NOUN
arestyrurj-157	107	3	http://reu.dimacs.rutgers.edu/%7eaas377/electron_new.mp4	http://reu.dimacs.rutgers.edu/%7eaas377/electron_new.mp4	VERB
arestyrurj-157	107	4	https://reu.dimacs.rutgers.edu/%7eaas377/non_int_pdf_mesh_new.mp4	https://reu.dimacs.rutgers.edu/%7eaas377/non_int_pdf_mesh_new.mp4	PROPN
arestyrurj-157	107	5	aresty	aresty	ADJ
arestyrurj-157	107	6	rutgers	rutgers	PROPN
arestyrurj-157	107	7	undergraduate	undergraduate	PROPN
arestyrurj-157	107	8	research	research	PROPN
arestyrurj-157	107	9	journal	journal	PROPN
arestyrurj-157	107	10	,	,	PUNCT
arestyrurj-157	107	11	volume	volume	NOUN
arestyrurj-157	107	12	i	i	PRON
arestyrurj-157	107	13	,	,	PUNCT
arestyrurj-157	107	14	issue	issue	NOUN
arestyrurj-157	107	15	ii	ii	NUM
arestyrurj-157	107	16	top	top	ADJ
arestyrurj-157	107	17	figure	figure	NOUN
arestyrurj-157	107	18	2	2	NUM
arestyrurj-157	107	19	:	:	PUNCT
arestyrurj-157	107	20	a	a	DET
arestyrurj-157	107	21	free	free	ADJ
arestyrurj-157	107	22	photon	photon	NOUN
arestyrurj-157	107	23	in	in	ADP
arestyrurj-157	107	24	one	one	NUM
arestyrurj-157	107	25	dimension	dimension	NOUN
arestyrurj-157	107	26	would	would	AUX
arestyrurj-157	107	27	move	move	VERB
arestyrurj-157	107	28	either	either	CCONJ
arestyrurj-157	107	29	left	left	ADJ
arestyrurj-157	107	30	or	or	CCONJ
arestyrurj-157	107	31	right	right	ADJ
arestyrurj-157	107	32	at	at	ADP
arestyrurj-157	107	33	the	the	DET
arestyrurj-157	107	34	speed	speed	NOUN
arestyrurj-157	107	35	of	of	ADP
arestyrurj-157	107	36	light	light	NOUN
arestyrurj-157	107	37	.	.	PUNCT
arestyrurj-157	108	1	the	the	DET
arestyrurj-157	108	2	linear	linear	ADJ
arestyrurj-157	108	3	trajectories	trajectory	NOUN
arestyrurj-157	108	4	in	in	ADP
arestyrurj-157	108	5	the	the	DET
arestyrurj-157	108	6	diagram	diagram	NOUN
arestyrurj-157	108	7	validates	validate	VERB
arestyrurj-157	108	8	this	this	DET
arestyrurj-157	108	9	intuition	intuition	NOUN
arestyrurj-157	108	10	.	.	PUNCT
arestyrurj-157	109	1	trajectories	trajectory	NOUN
arestyrurj-157	109	2	with	with	ADP
arestyrurj-157	109	3	different	different	ADJ
arestyrurj-157	109	4	initial	initial	ADJ
arestyrurj-157	109	5	conditions	condition	NOUN
arestyrurj-157	109	6	are	be	AUX
arestyrurj-157	109	7	differentiated	differentiate	VERB
arestyrurj-157	109	8	by	by	ADP
arestyrurj-157	109	9	color	color	NOUN
arestyrurj-157	109	10	.	.	PUNCT
arestyrurj-157	110	1	middle	middle	ADJ
arestyrurj-157	110	2	figure	figure	NOUN
arestyrurj-157	110	3	3	3	NUM
arestyrurj-157	110	4	:	:	PUNCT
arestyrurj-157	110	5	a	a	DET
arestyrurj-157	110	6	free	free	ADJ
arestyrurj-157	110	7	electron	electron	NOUN
arestyrurj-157	110	8	in	in	ADP
arestyrurj-157	110	9	one	one	NUM
arestyrurj-157	110	10	dimension	dimension	NOUN
arestyrurj-157	110	11	moves	move	NOUN
arestyrurj-157	110	12	according	accord	VERB
arestyrurj-157	110	13	to	to	ADP
arestyrurj-157	110	14	its	its	PRON
arestyrurj-157	110	15	wave	wave	NOUN
arestyrurj-157	110	16	function	function	NOUN
arestyrurj-157	110	17	at	at	ADP
arestyrurj-157	110	18	a	a	DET
arestyrurj-157	110	19	velocity	velocity	NOUN
arestyrurj-157	110	20	slower	slow	ADJ
arestyrurj-157	110	21	than	than	ADP
arestyrurj-157	110	22	the	the	DET
arestyrurj-157	110	23	speed	speed	NOUN
arestyrurj-157	110	24	of	of	ADP
arestyrurj-157	110	25	light	light	NOUN
arestyrurj-157	110	26	.	.	PUNCT
arestyrurj-157	111	1	trajectories	trajectory	NOUN
arestyrurj-157	111	2	with	with	ADP
arestyrurj-157	111	3	different	different	ADJ
arestyrurj-157	111	4	initial	initial	ADJ
arestyrurj-157	111	5	conditions	condition	NOUN
arestyrurj-157	111	6	are	be	AUX
arestyrurj-157	111	7	differentiated	differentiate	VERB
arestyrurj-157	111	8	by	by	ADP
arestyrurj-157	111	9	color	color	NOUN
arestyrurj-157	111	10	.	.	PUNCT
arestyrurj-157	112	1	bottom	bottom	ADJ
arestyrurj-157	112	2	figure	figure	NOUN
arestyrurj-157	112	3	4	4	NUM
arestyrurj-157	112	4	:	:	PUNCT
arestyrurj-157	112	5	non	non	ADJ
arestyrurj-157	112	6	-	-	ADJ
arestyrurj-157	112	7	interacting	interacting	ADJ
arestyrurj-157	112	8	photon	photon	NOUN
arestyrurj-157	112	9	(	(	PUNCT
arestyrurj-157	112	10	left	left	ADJ
arestyrurj-157	112	11	)	)	PUNCT
arestyrurj-157	112	12	and	and	CCONJ
arestyrurj-157	112	13	electron	electron	NOUN
arestyrurj-157	112	14	(	(	PUNCT
arestyrurj-157	112	15	right	right	ADJ
arestyrurj-157	112	16	)	)	PUNCT
arestyrurj-157	112	17	trajectories	trajectory	NOUN
arestyrurj-157	112	18	.	.	PUNCT
arestyrurj-157	113	1	since	since	SCONJ
arestyrurj-157	113	2	the	the	DET
arestyrurj-157	113	3	two	two	NUM
arestyrurj-157	113	4	particles	particle	NOUN
arestyrurj-157	113	5	do	do	AUX
arestyrurj-157	113	6	not	not	PART
arestyrurj-157	113	7	interact	interact	VERB
arestyrurj-157	113	8	,	,	PUNCT
arestyrurj-157	113	9	they	they	PRON
arestyrurj-157	113	10	pass	pass	VERB
arestyrurj-157	113	11	through	through	ADP
arestyrurj-157	113	12	one	one	NUM
arestyrurj-157	113	13	another	another	DET
arestyrurj-157	113	14	as	as	SCONJ
arestyrurj-157	113	15	the	the	DET
arestyrurj-157	113	16	diagram	diagram	NOUN
arestyrurj-157	113	17	indicates	indicate	VERB
arestyrurj-157	113	18	.	.	PUNCT
arestyrurj-157	114	1	trajectories	trajectory	NOUN
arestyrurj-157	114	2	with	with	ADP
arestyrurj-157	114	3	different	different	ADJ
arestyrurj-157	114	4	initial	initial	ADJ
arestyrurj-157	114	5	conditions	condition	NOUN
arestyrurj-157	114	6	are	be	AUX
arestyrurj-157	114	7	differentiated	differentiate	VERB
arestyrurj-157	114	8	by	by	ADP
arestyrurj-157	114	9	color	color	NOUN
arestyrurj-157	114	10	.	.	PUNCT
arestyrurj-157	115	1	below	below	ADP
arestyrurj-157	115	2	figure	figure	NOUN
arestyrurj-157	115	3	5	5	NUM
arestyrurj-157	115	4	:	:	PUNCT
arestyrurj-157	115	5	interacting	interact	VERB
arestyrurj-157	115	6	and	and	CCONJ
arestyrurj-157	115	7	non	non	ADJ
arestyrurj-157	115	8	-	-	ADJ
arestyrurj-157	115	9	interacting	interacting	ADJ
arestyrurj-157	115	10	photon	photon	NOUN
arestyrurj-157	115	11	(	(	PUNCT
arestyrurj-157	115	12	red	red	ADJ
arestyrurj-157	115	13	)	)	PUNCT
arestyrurj-157	115	14	and	and	CCONJ
arestyrurj-157	115	15	electron	electron	NOUN
arestyrurj-157	115	16	(	(	PUNCT
arestyrurj-157	115	17	blue	blue	ADJ
arestyrurj-157	115	18	)	)	PUNCT
arestyrurj-157	115	19	trajectories	trajectory	NOUN
arestyrurj-157	115	20	.	.	PUNCT
arestyrurj-157	116	1	the	the	DET
arestyrurj-157	116	2	interaction	interaction	NOUN
arestyrurj-157	116	3	resembles	resemble	VERB
arestyrurj-157	116	4	a	a	DET
arestyrurj-157	116	5	collision	collision	NOUN
arestyrurj-157	116	6	,	,	PUNCT
arestyrurj-157	116	7	after	after	ADP
arestyrurj-157	116	8	which	which	PRON
arestyrurj-157	116	9	the	the	DET
arestyrurj-157	116	10	two	two	NUM
arestyrurj-157	116	11	particles	particle	NOUN
arestyrurj-157	116	12	bounce	bounce	VERB
arestyrurj-157	116	13	away	away	ADV
arestyrurj-157	116	14	from	from	ADP
arestyrurj-157	116	15	each	each	DET
arestyrurj-157	116	16	other	other	ADJ
arestyrurj-157	116	17	.	.	PUNCT
arestyrurj-157	117	1	dotted	dotted	ADJ
arestyrurj-157	117	2	lines	line	NOUN
arestyrurj-157	117	3	show	show	VERB
arestyrurj-157	117	4	the	the	DET
arestyrurj-157	117	5	non	non	ADJ
arestyrurj-157	117	6	-	-	ADJ
arestyrurj-157	117	7	interacting	interacting	ADJ
arestyrurj-157	117	8	case	case	NOUN
arestyrurj-157	117	9	,	,	PUNCT
arestyrurj-157	117	10	and	and	CCONJ
arestyrurj-157	117	11	the	the	DET
arestyrurj-157	117	12	solid	solid	ADJ
arestyrurj-157	117	13	lines	line	NOUN
arestyrurj-157	117	14	show	show	VERB
arestyrurj-157	117	15	the	the	DET
arestyrurj-157	117	16	interacting	interact	VERB
arestyrurj-157	117	17	case	case	NOUN
arestyrurj-157	117	18	.	.	PUNCT
arestyrurj-157	118	1	aresty	aresty	ADJ
arestyrurj-157	118	2	rutgers	rutgers	PROPN
arestyrurj-157	118	3	undergraduate	undergraduate	PROPN
arestyrurj-157	118	4	research	research	PROPN
arestyrurj-157	118	5	journal	journal	PROPN
arestyrurj-157	118	6	,	,	PUNCT
arestyrurj-157	118	7	volume	volume	NOUN
arestyrurj-157	118	8	i	i	PRON
arestyrurj-157	118	9	,	,	PUNCT
arestyrurj-157	118	10	issue	issue	NOUN
arestyrurj-157	118	11	ii	ii	NOUN
arestyrurj-157	119	1	[	[	X
arestyrurj-157	119	2	a]for	a]for	ADP
arestyrurj-157	119	3	reasons	reason	NOUN
arestyrurj-157	119	4	having	have	VERB
arestyrurj-157	119	5	to	to	PART
arestyrurj-157	119	6	do	do	VERB
arestyrurj-157	119	7	with	with	ADP
arestyrurj-157	119	8	numerical	numerical	ADJ
arestyrurj-157	119	9	computations	computation	NOUN
arestyrurj-157	119	10	,	,	PUNCT
arestyrurj-157	119	11	the	the	DET
arestyrurj-157	119	12	value	value	NOUN
arestyrurj-157	119	13	we	we	PRON
arestyrurj-157	119	14	use	use	VERB
arestyrurj-157	119	15	for	for	ADP
arestyrurj-157	119	16	ω	ω	PROPN
arestyrurj-157	119	17	is	be	AUX
arestyrurj-157	119	18	numerically	numerically	ADV
arestyrurj-157	119	19	equal	equal	ADJ
arestyrurj-157	119	20	to	to	ADP
arestyrurj-157	119	21	the	the	DET
arestyrurj-157	119	22	mass	mass	NOUN
arestyrurj-157	119	23	of	of	ADP
arestyrurj-157	119	24	the	the	DET
arestyrurj-157	119	25	electron	electron	NOUN
arestyrurj-157	119	26	but	but	CCONJ
arestyrurj-157	119	27	is	be	AUX
arestyrurj-157	119	28	not	not	PART
arestyrurj-157	119	29	the	the	DET
arestyrurj-157	119	30	actual	actual	ADJ
arestyrurj-157	119	31	physical	physical	ADJ
arestyrurj-157	119	32	value	value	NOUN
arestyrurj-157	119	33	.	.	PUNCT
arestyrurj-157	120	1	the	the	DET
arestyrurj-157	120	2	actual	actual	ADJ
arestyrurj-157	120	3	mass	mass	NOUN
arestyrurj-157	120	4	of	of	ADP
arestyrurj-157	120	5	an	an	DET
arestyrurj-157	120	6	electron	electron	NOUN
arestyrurj-157	120	7	in	in	ADP
arestyrurj-157	120	8	our	our	PRON
arestyrurj-157	120	9	units	unit	NOUN
arestyrurj-157	120	10	is	be	AUX
arestyrurj-157	120	11	776.343694	776.343694	NUM
arestyrurj-157	120	12	units	unit	NOUN
arestyrurj-157	120	13	of	of	ADP
arestyrurj-157	120	14	mass	mass	NOUN
arestyrurj-157	120	15	,	,	PUNCT
arestyrurj-157	120	16	but	but	CCONJ
arestyrurj-157	120	17	we	we	PRON
arestyrurj-157	120	18	are	be	AUX
arestyrurj-157	120	19	working	work	VERB
arestyrurj-157	120	20	on	on	ADP
arestyrurj-157	120	21	the	the	DET
arestyrurj-157	120	22	order	order	NOUN
arestyrurj-157	120	23	of	of	ADP
arestyrurj-157	120	24	1	1	NUM
arestyrurj-157	120	25	unit	unit	NOUN
arestyrurj-157	120	26	of	of	ADP
arestyrurj-157	120	27	mass	mass	PROPN
arestyrurj-157	120	28	.	.	PUNCT
arestyrurj-157	121	1	that	that	PRON
arestyrurj-157	121	2	is	be	AUX
arestyrurj-157	121	3	to	to	PART
arestyrurj-157	121	4	say	say	VERB
arestyrurj-157	121	5	that	that	SCONJ
arestyrurj-157	121	6	we	we	PRON
arestyrurj-157	121	7	are	be	AUX
arestyrurj-157	121	8	working	work	VERB
arestyrurj-157	121	9	with	with	ADP
arestyrurj-157	121	10	an	an	DET
arestyrurj-157	121	11	electron	electron	NOUN
arestyrurj-157	121	12	mass	mass	NOUN
arestyrurj-157	121	13	that	that	PRON
arestyrurj-157	121	14	is	be	AUX
arestyrurj-157	121	15	700	700	NUM
arestyrurj-157	121	16	times	time	NOUN
arestyrurj-157	121	17	smaller	small	ADJ
arestyrurj-157	121	18	.	.	PUNCT
arestyrurj-157	122	1	iv	iv	X
arestyrurj-157	122	2	.	.	PUNCT
arestyrurj-157	122	3	interacting	interact	VERB
arestyrurj-157	122	4	two	two	NUM
arestyrurj-157	122	5	-	-	PUNCT
arestyrurj-157	122	6	body	body	NOUN
arestyrurj-157	122	7	system	system	NOUN
arestyrurj-157	122	8	adding	add	VERB
arestyrurj-157	122	9	the	the	DET
arestyrurj-157	122	10	boundary	boundary	ADJ
arestyrurj-157	122	11	condition	condition	NOUN
arestyrurj-157	122	12	to	to	ADP
arestyrurj-157	122	13	the	the	DET
arestyrurj-157	122	14	wave	wave	NOUN
arestyrurj-157	122	15	function	function	NOUN
arestyrurj-157	122	16	gives	give	VERB
arestyrurj-157	122	17	us	we	PRON
arestyrurj-157	122	18	a	a	DET
arestyrurj-157	122	19	modified	modify	VERB
arestyrurj-157	122	20	probability	probability	NOUN
arestyrurj-157	122	21	density	density	NOUN
arestyrurj-157	122	22	function	function	NOUN
arestyrurj-157	122	23	:	:	PUNCT
arestyrurj-157	122	24	http://reu.dimacs.rutgers.edu/~aas377/int_pdf_mesh_new.mp4	http://reu.dimacs.rutgers.edu/~aas377/int_pdf_mesh_new.mp4	NOUN
arestyrurj-157	122	25	figure	figure	NOUN
arestyrurj-157	122	26	5	5	NUM
arestyrurj-157	122	27	is	be	AUX
arestyrurj-157	122	28	the	the	DET
arestyrurj-157	122	29	contour	contour	NOUN
arestyrurj-157	122	30	map	map	NOUN
arestyrurj-157	122	31	.	.	PUNCT
arestyrurj-157	123	1	the	the	DET
arestyrurj-157	123	2	shape	shape	NOUN
arestyrurj-157	123	3	of	of	ADP
arestyrurj-157	123	4	the	the	DET
arestyrurj-157	123	5	interacting	interact	VERB
arestyrurj-157	123	6	probability	probability	NOUN
arestyrurj-157	123	7	density	density	NOUN
arestyrurj-157	123	8	is	be	AUX
arestyrurj-157	123	9	delineated	delineate	VERB
arestyrurj-157	123	10	by	by	ADP
arestyrurj-157	123	11	lines	line	NOUN
arestyrurj-157	123	12	from	from	ADP
arestyrurj-157	123	13	the	the	DET
arestyrurj-157	123	14	perspective	perspective	NOUN
arestyrurj-157	123	15	of	of	ADP
arestyrurj-157	123	16	someone	someone	PRON
arestyrurj-157	123	17	looking	look	VERB
arestyrurj-157	123	18	down	down	ADV
arestyrurj-157	123	19	from	from	ADP
arestyrurj-157	123	20	above	above	ADP
arestyrurj-157	123	21	:	:	PUNCT
arestyrurj-157	123	22	http://reu.dimacs.rutgers.edu/~aas377/int_pdf_mesh_new.mp4	http://reu.dimacs.rutgers.edu/~aas377/int_pdf_mesh_new.mp4	NOUN
arestyrurj-157	123	23	these	these	PRON
arestyrurj-157	123	24	are	be	AUX
arestyrurj-157	123	25	the	the	DET
arestyrurj-157	123	26	trajectories	trajectory	NOUN
arestyrurj-157	123	27	of	of	ADP
arestyrurj-157	123	28	the	the	DET
arestyrurj-157	123	29	interacting	interact	VERB
arestyrurj-157	123	30	electronphoton	electronphoton	NOUN
arestyrurj-157	123	31	system	system	NOUN
arestyrurj-157	123	32	with	with	ADP
arestyrurj-157	123	33	the	the	DET
arestyrurj-157	123	34	boundary	boundary	ADJ
arestyrurj-157	123	35	condition	condition	NOUN
arestyrurj-157	123	36	added	add	VERB
arestyrurj-157	123	37	in	in	ADP
arestyrurj-157	123	38	.	.	PUNCT
arestyrurj-157	124	1	the	the	DET
arestyrurj-157	124	2	solid	solid	ADJ
arestyrurj-157	124	3	lines	line	NOUN
arestyrurj-157	124	4	show	show	VERB
arestyrurj-157	124	5	the	the	DET
arestyrurj-157	124	6	interacting	interact	VERB
arestyrurj-157	124	7	system	system	NOUN
arestyrurj-157	124	8	trajectories	trajectory	NOUN
arestyrurj-157	124	9	and	and	CCONJ
arestyrurj-157	124	10	the	the	DET
arestyrurj-157	124	11	dotted	dotted	ADJ
arestyrurj-157	124	12	lines	line	NOUN
arestyrurj-157	124	13	show	show	VERB
arestyrurj-157	124	14	the	the	DET
arestyrurj-157	124	15	non	non	ADJ
arestyrurj-157	124	16	-	-	ADJ
arestyrurj-157	124	17	interacting	interacting	ADJ
arestyrurj-157	124	18	trajectories	trajectory	NOUN
arestyrurj-157	124	19	.	.	PUNCT
arestyrurj-157	125	1	plotting	plot	VERB
arestyrurj-157	125	2	100	100	NUM
arestyrurj-157	125	3	overlaid	overlay	VERB
arestyrurj-157	125	4	trajectories	trajectory	NOUN
arestyrurj-157	125	5	of	of	ADP
arestyrurj-157	125	6	the	the	DET
arestyrurj-157	125	7	interacting	interact	VERB
arestyrurj-157	125	8	system	system	NOUN
arestyrurj-157	125	9	gives	gives	AUX
arestyrurj-157	125	10	figure	figure	VERB
arestyrurj-157	125	11	6	6	NUM
arestyrurj-157	125	12	.	.	PUNCT
arestyrurj-157	125	13	to	to	PART
arestyrurj-157	125	14	make	make	VERB
arestyrurj-157	125	15	this	this	PRON
arestyrurj-157	125	16	clearer	clear	ADJ
arestyrurj-157	125	17	,	,	PUNCT
arestyrurj-157	125	18	here	here	ADV
arestyrurj-157	125	19	is	be	AUX
arestyrurj-157	125	20	a	a	DET
arestyrurj-157	125	21	video	video	NOUN
arestyrurj-157	125	22	of	of	ADP
arestyrurj-157	125	23	the	the	DET
arestyrurj-157	125	24	collision	collision	NOUN
arestyrurj-157	125	25	trajectories	trajectory	NOUN
arestyrurj-157	125	26	being	be	AUX
arestyrurj-157	125	27	plotted	plot	VERB
arestyrurj-157	125	28	individually	individually	ADV
arestyrurj-157	125	29	on	on	ADP
arestyrurj-157	125	30	the	the	DET
arestyrurj-157	125	31	same	same	ADJ
arestyrurj-157	125	32	set	set	NOUN
arestyrurj-157	125	33	of	of	ADP
arestyrurj-157	125	34	axes	axis	NOUN
arestyrurj-157	125	35	.	.	PUNCT
arestyrurj-157	126	1	http://reu.dimacs.rutgers.edu/~aas377/int_trajs_slowmo.mp4	http://reu.dimacs.rutgers.edu/~aas377/int_trajs_slowmo.mp4	PROPN
arestyrurj-157	126	2	v.	v.	ADP
arestyrurj-157	126	3	varying	vary	VERB
arestyrurj-157	126	4	the	the	DET
arestyrurj-157	126	5	electron	electron	NOUN
arestyrurj-157	126	6	parameters	parameter	NOUN
arestyrurj-157	126	7	here	here	ADV
arestyrurj-157	126	8	,	,	PUNCT
arestyrurj-157	126	9	we	we	PRON
arestyrurj-157	126	10	sought	seek	VERB
arestyrurj-157	126	11	to	to	PART
arestyrurj-157	126	12	perform	perform	VERB
arestyrurj-157	126	13	numerical	numerical	ADJ
arestyrurj-157	126	14	experiments	experiment	NOUN
arestyrurj-157	126	15	using	use	VERB
arestyrurj-157	126	16	our	our	PRON
arestyrurj-157	126	17	model	model	NOUN
arestyrurj-157	126	18	.	.	PUNCT
arestyrurj-157	127	1	the	the	DET
arestyrurj-157	127	2	units	unit	NOUN
arestyrurj-157	127	3	used	use	VERB
arestyrurj-157	127	4	in	in	ADP
arestyrurj-157	127	5	calculating	calculate	VERB
arestyrurj-157	127	6	the	the	DET
arestyrurj-157	127	7	values	value	NOUN
arestyrurj-157	127	8	of	of	ADP
arestyrurj-157	127	9	our	our	PRON
arestyrurj-157	127	10	parameters	parameter	NOUN
arestyrurj-157	127	11	are	be	AUX
arestyrurj-157	127	12	chosen	choose	VERB
arestyrurj-157	127	13	such	such	ADJ
arestyrurj-157	127	14	that	that	DET
arestyrurj-157	127	15	planck	planck	NOUN
arestyrurj-157	127	16	’s	’s	PART
arestyrurj-157	127	17	constant	constant	ADJ
arestyrurj-157	127	18	ℏ	ℏ	PROPN
arestyrurj-157	127	19	=	=	SYM
arestyrurj-157	127	20	1	1	NUM
arestyrurj-157	127	21	unit	unit	NOUN
arestyrurj-157	127	22	of	of	ADP
arestyrurj-157	127	23	mass	mass	ADJ
arestyrurj-157	127	24	×	×	PROPN
arestyrurj-157	127	25	length	length	NOUN
arestyrurj-157	127	26	squared	square	VERB
arestyrurj-157	127	27	over	over	ADP
arestyrurj-157	127	28	time	time	NOUN
arestyrurj-157	127	29	:	:	PUNCT
arestyrurj-157	127	30	ℏ	ℏ	NOUN
arestyrurj-157	127	31	=	=	SYM
arestyrurj-157	127	32	𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀	𝑀𝑀𝑀𝑀𝑀𝑀𝑀𝑀	NOUN
arestyrurj-157	127	33	×	×	NOUN
arestyrurj-157	127	34	𝐿𝐿𝑒𝑒𝑖𝑖𝐿𝐿𝑜𝑜ℎ2	𝐿𝐿𝑒𝑒𝑖𝑖𝐿𝐿𝑜𝑜ℎ2	ADJ
arestyrurj-157	127	35	𝑇𝑇𝑖𝑖𝑇𝑇𝑒𝑒	𝑇𝑇𝑖𝑖𝑇𝑇𝑒𝑒	NOUN
arestyrurj-157	127	36	.	.	PUNCT
arestyrurj-157	128	1	in	in	ADP
arestyrurj-157	128	2	our	our	PRON
arestyrurj-157	128	3	units	unit	NOUN
arestyrurj-157	128	4	,	,	PUNCT
arestyrurj-157	128	5	one	one	NUM
arestyrurj-157	128	6	unit	unit	NOUN
arestyrurj-157	128	7	of	of	ADP
arestyrurj-157	128	8	mass	mass	NOUN
arestyrurj-157	128	9	is	be	AUX
arestyrurj-157	128	10	0.117337	0.117337	NUM
arestyrurj-157	128	11	×	×	NOUN
arestyrurj-157	128	12	10—32	10—32	NUM
arestyrurj-157	128	13	kg[a	kg[a	PROPN
arestyrurj-157	128	14	]	]	PUNCT
arestyrurj-157	128	15	.	.	PUNCT
arestyrurj-157	129	1	the	the	DET
arestyrurj-157	129	2	parameter	parameter	NOUN
arestyrurj-157	129	3	𝜔𝜔	𝜔𝜔	ADP
arestyrurj-157	129	4	=	=	PUNCT
arestyrurj-157	129	5	𝑇𝑇𝑒𝑒𝑒𝑒𝑐𝑐	𝑇𝑇𝑒𝑒𝑒𝑒𝑐𝑐	ADJ
arestyrurj-157	129	6	ℏ	ℏ	NOUN
arestyrurj-157	129	7	=	=	SYM
arestyrurj-157	129	8	1	1	NUM
arestyrurj-157	129	9	𝜆𝜆	𝜆𝜆	NOUN
arestyrurj-157	129	10	,	,	PUNCT
arestyrurj-157	129	11	where	where	SCONJ
arestyrurj-157	129	12	𝜆𝜆	𝜆𝜆	PROPN
arestyrurj-157	129	13	is	be	AUX
arestyrurj-157	129	14	the	the	DET
arestyrurj-157	129	15	reduced	reduce	VERB
arestyrurj-157	129	16	compton	compton	PROPN
arestyrurj-157	129	17	wavelength	wavelength	NOUN
arestyrurj-157	129	18	of	of	ADP
arestyrurj-157	129	19	the	the	DET
arestyrurj-157	129	20	electron	electron	NOUN
arestyrurj-157	129	21	and	and	CCONJ
arestyrurj-157	129	22	equal	equal	ADJ
arestyrurj-157	129	23	to	to	ADP
arestyrurj-157	129	24	approximately	approximately	ADV
arestyrurj-157	129	25	0.001288	0.001288	NUM
arestyrurj-157	129	26	units	unit	NOUN
arestyrurj-157	129	27	of	of	ADP
arestyrurj-157	129	28	length	length	NOUN
arestyrurj-157	129	29	.	.	PUNCT
arestyrurj-157	130	1	note	note	VERB
arestyrurj-157	130	2	that	that	SCONJ
arestyrurj-157	130	3	change	change	NOUN
arestyrurj-157	130	4	in	in	ADP
arestyrurj-157	130	5	𝜔𝜔	𝜔𝜔	ADP
arestyrurj-157	130	6	corresponds	correspond	NOUN
arestyrurj-157	130	7	to	to	ADP
arestyrurj-157	130	8	a	a	DET
arestyrurj-157	130	9	change	change	NOUN
arestyrurj-157	130	10	in	in	ADP
arestyrurj-157	130	11	mass	mass	NOUN
arestyrurj-157	130	12	of	of	ADP
arestyrurj-157	130	13	electron	electron	NOUN
arestyrurj-157	130	14	𝑚𝑚𝑒𝑒𝑒𝑒	𝑚𝑚𝑒𝑒𝑒𝑒	PROPN
arestyrurj-157	130	15	since	since	SCONJ
arestyrurj-157	130	16	the	the	DET
arestyrurj-157	130	17	units	unit	NOUN
arestyrurj-157	130	18	are	be	AUX
arestyrurj-157	130	19	set	set	VERB
arestyrurj-157	130	20	such	such	ADJ
arestyrurj-157	130	21	that	that	SCONJ
arestyrurj-157	130	22	𝑐𝑐	𝑐𝑐	PROPN
arestyrurj-157	130	23	and	and	CCONJ
arestyrurj-157	130	24	ℏ	ℏ	PROPN
arestyrurj-157	130	25	are	be	AUX
arestyrurj-157	130	26	set	set	VERB
arestyrurj-157	130	27	to	to	PART
arestyrurj-157	130	28	equal	equal	VERB
arestyrurj-157	130	29	1	1	NUM
arestyrurj-157	130	30	.	.	PUNCT
arestyrurj-157	131	1	since	since	SCONJ
arestyrurj-157	131	2	𝜔𝜔	𝜔𝜔	ADV
arestyrurj-157	131	3	is	be	AUX
arestyrurj-157	131	4	the	the	DET
arestyrurj-157	131	5	reciprocal	reciprocal	NOUN
arestyrurj-157	131	6	of	of	ADP
arestyrurj-157	131	7	wavelength	wavelength	NOUN
arestyrurj-157	131	8	,	,	PUNCT
arestyrurj-157	131	9	we	we	PRON
arestyrurj-157	131	10	top	top	AUX
arestyrurj-157	131	11	figure	figure	VERB
arestyrurj-157	131	12	6	6	NUM
arestyrurj-157	131	13	:	:	SYM
arestyrurj-157	131	14	100	100	NUM
arestyrurj-157	131	15	overlaid	overlay	VERB
arestyrurj-157	131	16	interacting	interact	VERB
arestyrurj-157	131	17	photon	photon	NOUN
arestyrurj-157	131	18	(	(	PUNCT
arestyrurj-157	131	19	red	red	ADJ
arestyrurj-157	131	20	)	)	PUNCT
arestyrurj-157	131	21	and	and	CCONJ
arestyrurj-157	131	22	electron	electron	NOUN
arestyrurj-157	131	23	(	(	PUNCT
arestyrurj-157	131	24	blue	blue	ADJ
arestyrurj-157	131	25	)	)	PUNCT
arestyrurj-157	131	26	trajectories	trajectory	NOUN
arestyrurj-157	131	27	.	.	PUNCT
arestyrurj-157	132	1	bottom	bottom	ADJ
arestyrurj-157	132	2	figure	figure	NOUN
arestyrurj-157	132	3	7	7	NUM
arestyrurj-157	132	4	:	:	PUNCT
arestyrurj-157	132	5	looking	look	VERB
arestyrurj-157	132	6	across	across	ADP
arestyrurj-157	132	7	each	each	DET
arestyrurj-157	132	8	row	row	NOUN
arestyrurj-157	132	9	,	,	PUNCT
arestyrurj-157	132	10	we	we	PRON
arestyrurj-157	132	11	can	can	AUX
arestyrurj-157	132	12	see	see	VERB
arestyrurj-157	132	13	variation	variation	NOUN
arestyrurj-157	132	14	in	in	ADP
arestyrurj-157	132	15	standard	standard	ADJ
arestyrurj-157	132	16	deviation	deviation	NOUN
arestyrurj-157	132	17	of	of	ADP
arestyrurj-157	132	18	initial	initial	ADJ
arestyrurj-157	132	19	distribution	distribution	NOUN
arestyrurj-157	132	20	of	of	ADP
arestyrurj-157	132	21	the	the	DET
arestyrurj-157	132	22	electron	electron	NOUN
arestyrurj-157	132	23	’s	’s	PART
arestyrurj-157	132	24	position	position	NOUN
arestyrurj-157	132	25	,	,	PUNCT
arestyrurj-157	132	26	σ	σ	PROPN
arestyrurj-157	132	27	,	,	PUNCT
arestyrurj-157	132	28	while	while	SCONJ
arestyrurj-157	132	29	the	the	DET
arestyrurj-157	132	30	frequency	frequency	NOUN
arestyrurj-157	132	31	of	of	ADP
arestyrurj-157	132	32	the	the	DET
arestyrurj-157	132	33	electron	electron	NOUN
arestyrurj-157	132	34	,	,	PUNCT
arestyrurj-157	132	35	ω	ω	PROPN
arestyrurj-157	132	36	,	,	PUNCT
arestyrurj-157	132	37	is	be	AUX
arestyrurj-157	132	38	kept	keep	VERB
arestyrurj-157	132	39	constant	constant	ADJ
arestyrurj-157	132	40	across	across	ADP
arestyrurj-157	132	41	each	each	DET
arestyrurj-157	132	42	row	row	NOUN
arestyrurj-157	132	43	.	.	PUNCT
arestyrurj-157	133	1	looking	look	VERB
arestyrurj-157	133	2	down	down	ADP
arestyrurj-157	133	3	each	each	DET
arestyrurj-157	133	4	column	column	NOUN
arestyrurj-157	133	5	,	,	PUNCT
arestyrurj-157	133	6	we	we	PRON
arestyrurj-157	133	7	can	can	AUX
arestyrurj-157	133	8	see	see	VERB
arestyrurj-157	133	9	variation	variation	NOUN
arestyrurj-157	133	10	in	in	ADP
arestyrurj-157	133	11	the	the	DET
arestyrurj-157	133	12	frequency	frequency	NOUN
arestyrurj-157	133	13	of	of	ADP
arestyrurj-157	133	14	the	the	DET
arestyrurj-157	133	15	electron	electron	NOUN
arestyrurj-157	133	16	,	,	PUNCT
arestyrurj-157	133	17	ω	ω	NOUN
arestyrurj-157	133	18	!	!	PROPN
arestyrurj-157	133	19	,	,	PUNCT
arestyrurj-157	133	20	as	as	SCONJ
arestyrurj-157	133	21	the	the	DET
arestyrurj-157	133	22	standard	standard	ADJ
arestyrurj-157	133	23	deviation	deviation	NOUN
arestyrurj-157	133	24	of	of	ADP
arestyrurj-157	133	25	the	the	DET
arestyrurj-157	133	26	initial	initial	ADJ
arestyrurj-157	133	27	distribution	distribution	NOUN
arestyrurj-157	133	28	of	of	ADP
arestyrurj-157	133	29	the	the	DET
arestyrurj-157	133	30	electron	electron	NOUN
arestyrurj-157	133	31	’s	’s	PART
arestyrurj-157	133	32	position	position	NOUN
arestyrurj-157	133	33	,	,	PUNCT
arestyrurj-157	133	34	σ	σ	PROPN
arestyrurj-157	133	35	,	,	PUNCT
arestyrurj-157	133	36	is	be	AUX
arestyrurj-157	133	37	kept	keep	VERB
arestyrurj-157	133	38	constant	constant	ADJ
arestyrurj-157	133	39	.	.	PUNCT
arestyrurj-157	134	1	http://reu.dimacs.rutgers.edu/%7eaas377/int_pdf_mesh_new.mp4	http://reu.dimacs.rutgers.edu/%7eaas377/int_pdf_mesh_new.mp4	NOUN
arestyrurj-157	134	2	http://reu.dimacs.rutgers.edu/%7eaas377/int_pdf_mesh_new.mp4	http://reu.dimacs.rutgers.edu/%7eaas377/int_pdf_mesh_new.mp4	PROPN
arestyrurj-157	134	3	http://reu.dimacs.rutgers.edu/%7eaas377/int_trajs_slowmo.mp4	http://reu.dimacs.rutgers.edu/%7eaas377/int_trajs_slowmo.mp4	PROPN
arestyrurj-157	134	4	aresty	aresty	PROPN
arestyrurj-157	134	5	rutgers	rutgers	PROPN
arestyrurj-157	134	6	undergraduate	undergraduate	PROPN
arestyrurj-157	134	7	research	research	PROPN
arestyrurj-157	134	8	journal	journal	PROPN
arestyrurj-157	134	9	,	,	PUNCT
arestyrurj-157	134	10	volume	volume	NOUN
arestyrurj-157	134	11	i	i	PRON
arestyrurj-157	134	12	,	,	PUNCT
arestyrurj-157	134	13	issue	issue	NOUN
arestyrurj-157	134	14	ii	ii	NOUN
arestyrurj-157	135	1	[	[	X
arestyrurj-157	135	2	b]we	b]we	PROPN
arestyrurj-157	135	3	are	be	AUX
arestyrurj-157	135	4	of	of	ADP
arestyrurj-157	135	5	course	course	NOUN
arestyrurj-157	135	6	aware	aware	ADJ
arestyrurj-157	135	7	that	that	SCONJ
arestyrurj-157	135	8	electron	electron	NOUN
arestyrurj-157	135	9	’s	’s	PART
arestyrurj-157	135	10	rest	rest	NOUN
arestyrurj-157	135	11	mass	mass	NOUN
arestyrurj-157	135	12	is	be	AUX
arestyrurj-157	135	13	fixed	fix	VERB
arestyrurj-157	135	14	.	.	PUNCT
arestyrurj-157	136	1	the	the	DET
arestyrurj-157	136	2	point	point	NOUN
arestyrurj-157	136	3	here	here	ADV
arestyrurj-157	136	4	is	be	AUX
arestyrurj-157	136	5	to	to	PART
arestyrurj-157	136	6	do	do	VERB
arestyrurj-157	136	7	a	a	DET
arestyrurj-157	136	8	mathematical	mathematical	ADJ
arestyrurj-157	136	9	study	study	NOUN
arestyrurj-157	136	10	of	of	ADP
arestyrurj-157	136	11	how	how	SCONJ
arestyrurj-157	136	12	the	the	DET
arestyrurj-157	136	13	trajectories	trajectory	NOUN
arestyrurj-157	136	14	would	would	AUX
arestyrurj-157	136	15	look	look	VERB
arestyrurj-157	136	16	like	like	ADP
arestyrurj-157	136	17	for	for	ADP
arestyrurj-157	136	18	a	a	DET
arestyrurj-157	136	19	hypothetical	hypothetical	ADJ
arestyrurj-157	136	20	particle	particle	NOUN
arestyrurj-157	136	21	with	with	ADP
arestyrurj-157	136	22	the	the	DET
arestyrurj-157	136	23	same	same	ADJ
arestyrurj-157	136	24	characteristics	characteristic	NOUN
arestyrurj-157	136	25	of	of	ADP
arestyrurj-157	136	26	the	the	DET
arestyrurj-157	136	27	electron	electron	NOUN
arestyrurj-157	136	28	but	but	CCONJ
arestyrurj-157	136	29	a	a	DET
arestyrurj-157	136	30	different	different	ADJ
arestyrurj-157	136	31	rest	rest	NOUN
arestyrurj-157	136	32	mass	mass	NOUN
arestyrurj-157	136	33	.	.	PUNCT
arestyrurj-157	137	1	can	can	AUX
arestyrurj-157	137	2	refer	refer	VERB
arestyrurj-157	137	3	to	to	ADP
arestyrurj-157	137	4	𝜔𝜔	𝜔𝜔	PRON
arestyrurj-157	137	5	as	as	ADP
arestyrurj-157	137	6	electron	electron	NOUN
arestyrurj-157	137	7	frequency	frequency	NOUN
arestyrurj-157	137	8	.	.	PUNCT
arestyrurj-157	138	1	change	change	NOUN
arestyrurj-157	138	2	in	in	ADP
arestyrurj-157	138	3	𝜎𝜎	𝜎𝜎	NUM
arestyrurj-157	138	4	refers	refer	VERB
arestyrurj-157	138	5	to	to	PART
arestyrurj-157	138	6	change	change	VERB
arestyrurj-157	138	7	in	in	ADP
arestyrurj-157	138	8	the	the	DET
arestyrurj-157	138	9	standard	standard	ADJ
arestyrurj-157	138	10	deviation	deviation	NOUN
arestyrurj-157	138	11	of	of	ADP
arestyrurj-157	138	12	the	the	DET
arestyrurj-157	138	13	initial	initial	ADJ
arestyrurj-157	138	14	probability	probability	NOUN
arestyrurj-157	138	15	distribution	distribution	NOUN
arestyrurj-157	138	16	of	of	ADP
arestyrurj-157	138	17	the	the	DET
arestyrurj-157	138	18	electron	electron	NOUN
arestyrurj-157	138	19	’s	’s	PART
arestyrurj-157	138	20	position	position	NOUN
arestyrurj-157	138	21	in	in	ADP
arestyrurj-157	138	22	one	one	NUM
arestyrurj-157	138	23	-	-	PUNCT
arestyrurj-157	138	24	dimension	dimension	NOUN
arestyrurj-157	138	25	,	,	PUNCT
arestyrurj-157	138	26	i.e.	i.e.	X
arestyrurj-157	138	27	the	the	DET
arestyrurj-157	138	28	standard	standard	ADJ
arestyrurj-157	138	29	deviation	deviation	NOUN
arestyrurj-157	138	30	of	of	ADP
arestyrurj-157	138	31	the	the	DET
arestyrurj-157	138	32	gaussian	gaussian	ADJ
arestyrurj-157	138	33	distribution	distribution	NOUN
arestyrurj-157	138	34	representing	represent	VERB
arestyrurj-157	138	35	initial	initial	ADJ
arestyrurj-157	138	36	data	datum	NOUN
arestyrurj-157	138	37	.	.	PUNCT
arestyrurj-157	139	1	the	the	DET
arestyrurj-157	139	2	units	unit	NOUN
arestyrurj-157	139	3	of	of	ADP
arestyrurj-157	139	4	𝜎𝜎	𝜎𝜎	NUM
arestyrurj-157	139	5	are	be	AUX
arestyrurj-157	139	6	the	the	DET
arestyrurj-157	139	7	same	same	ADJ
arestyrurj-157	139	8	as	as	ADP
arestyrurj-157	139	9	the	the	DET
arestyrurj-157	139	10	units	unit	NOUN
arestyrurj-157	139	11	for	for	ADP
arestyrurj-157	139	12	position	position	NOUN
arestyrurj-157	139	13	:	:	PUNCT
arestyrurj-157	139	14	approximately	approximately	ADV
arestyrurj-157	139	15	3	3	NUM
arestyrurj-157	139	16	angstroms	angstrom	NOUN
arestyrurj-157	139	17	.	.	PUNCT
arestyrurj-157	140	1	the	the	DET
arestyrurj-157	140	2	changes	change	NOUN
arestyrurj-157	140	3	in	in	ADP
arestyrurj-157	140	4	these	these	DET
arestyrurj-157	140	5	parameters	parameter	NOUN
arestyrurj-157	140	6	are	be	AUX
arestyrurj-157	140	7	visible	visible	ADJ
arestyrurj-157	140	8	in	in	ADP
arestyrurj-157	140	9	figure	figure	NOUN
arestyrurj-157	140	10	7[b	7[b	NOUN
arestyrurj-157	140	11	]	]	PUNCT
arestyrurj-157	140	12	.	.	PUNCT
arestyrurj-157	141	1	vi	vi	X
arestyrurj-157	141	2	.	.	NOUN
arestyrurj-157	141	3	varying	vary	VERB
arestyrurj-157	141	4	the	the	DET
arestyrurj-157	141	5	phase	phase	NOUN
arestyrurj-157	141	6	angle	angle	NOUN
arestyrurj-157	141	7	of	of	ADP
arestyrurj-157	141	8	interaction	interaction	NOUN
arestyrurj-157	141	9	in	in	ADP
arestyrurj-157	141	10	the	the	DET
arestyrurj-157	141	11	boundary	boundary	ADJ
arestyrurj-157	141	12	condition	condition	NOUN
arestyrurj-157	141	13	that	that	PRON
arestyrurj-157	141	14	provides	provide	VERB
arestyrurj-157	141	15	the	the	DET
arestyrurj-157	141	16	interaction	interaction	NOUN
arestyrurj-157	141	17	,	,	PUNCT
arestyrurj-157	141	18	it	it	PRON
arestyrurj-157	141	19	is	be	AUX
arestyrurj-157	141	20	possible	possible	ADJ
arestyrurj-157	141	21	to	to	PART
arestyrurj-157	141	22	specify	specify	VERB
arestyrurj-157	141	23	a	a	DET
arestyrurj-157	141	24	phase	phase	NOUN
arestyrurj-157	141	25	angle	angle	NOUN
arestyrurj-157	141	26	.	.	PUNCT
arestyrurj-157	142	1	it	it	PRON
arestyrurj-157	142	2	seems	seem	VERB
arestyrurj-157	142	3	there	there	PRON
arestyrurj-157	142	4	are	be	VERB
arestyrurj-157	142	5	no	no	DET
arestyrurj-157	142	6	changes	change	NOUN
arestyrurj-157	142	7	as	as	ADP
arestyrurj-157	142	8	a	a	DET
arestyrurj-157	142	9	result	result	NOUN
arestyrurj-157	142	10	of	of	ADP
arestyrurj-157	142	11	variation	variation	NOUN
arestyrurj-157	142	12	in	in	ADP
arestyrurj-157	142	13	this	this	DET
arestyrurj-157	142	14	parameter	parameter	NOUN
arestyrurj-157	142	15	;	;	PUNCT
arestyrurj-157	142	16	however	however	ADV
arestyrurj-157	142	17	,	,	PUNCT
arestyrurj-157	142	18	future	future	ADJ
arestyrurj-157	142	19	research	research	NOUN
arestyrurj-157	142	20	is	be	AUX
arestyrurj-157	142	21	necessary	necessary	ADJ
arestyrurj-157	142	22	to	to	PART
arestyrurj-157	142	23	elucidate	elucidate	VERB
arestyrurj-157	142	24	whether	whether	SCONJ
arestyrurj-157	142	25	this	this	DET
arestyrurj-157	142	26	parameter	parameter	NOUN
arestyrurj-157	142	27	truly	truly	ADV
arestyrurj-157	142	28	has	have	VERB
arestyrurj-157	142	29	no	no	DET
arestyrurj-157	142	30	effect	effect	NOUN
arestyrurj-157	142	31	on	on	ADP
arestyrurj-157	142	32	trajectories	trajectory	NOUN
arestyrurj-157	142	33	.	.	PUNCT
arestyrurj-157	143	1	it	it	PRON
arestyrurj-157	143	2	seems	seem	VERB
arestyrurj-157	143	3	to	to	PART
arestyrurj-157	143	4	be	be	AUX
arestyrurj-157	143	5	that	that	SCONJ
arestyrurj-157	143	6	the	the	DET
arestyrurj-157	143	7	three	three	NUM
arestyrurj-157	143	8	graphs	graph	NOUN
arestyrurj-157	143	9	in	in	ADP
arestyrurj-157	143	10	figure	figure	NOUN
arestyrurj-157	143	11	8	8	NUM
arestyrurj-157	143	12	are	be	AUX
arestyrurj-157	143	13	the	the	DET
arestyrurj-157	143	14	same	same	ADJ
arestyrurj-157	143	15	since	since	SCONJ
arestyrurj-157	143	16	they	they	PRON
arestyrurj-157	143	17	look	look	VERB
arestyrurj-157	143	18	like	like	ADP
arestyrurj-157	143	19	one	one	NUM
arestyrurj-157	143	20	set	set	NOUN
arestyrurj-157	143	21	of	of	ADP
arestyrurj-157	143	22	trajectories	trajectory	NOUN
arestyrurj-157	143	23	instead	instead	ADV
arestyrurj-157	143	24	of	of	ADP
arestyrurj-157	143	25	three	three	NUM
arestyrurj-157	143	26	when	when	SCONJ
arestyrurj-157	143	27	overlaid	overlaid	ADJ
arestyrurj-157	143	28	.	.	PUNCT
arestyrurj-157	144	1	vii	vii	PROPN
arestyrurj-157	144	2	.	.	PROPN
arestyrurj-157	144	3	varying	vary	VERB
arestyrurj-157	144	4	momentum	momentum	NOUN
arestyrurj-157	144	5	of	of	ADP
arestyrurj-157	144	6	incoming	incoming	ADJ
arestyrurj-157	144	7	photon	photon	NOUN
arestyrurj-157	144	8	changing	change	VERB
arestyrurj-157	144	9	the	the	DET
arestyrurj-157	144	10	momentum	momentum	NOUN
arestyrurj-157	144	11	of	of	ADP
arestyrurj-157	144	12	the	the	DET
arestyrurj-157	144	13	incoming	incoming	ADJ
arestyrurj-157	144	14	photon	photon	NOUN
arestyrurj-157	144	15	gives	give	VERB
arestyrurj-157	144	16	us	we	PRON
arestyrurj-157	144	17	a	a	DET
arestyrurj-157	144	18	different	different	ADJ
arestyrurj-157	144	19	picture	picture	NOUN
arestyrurj-157	144	20	and	and	CCONJ
arestyrurj-157	144	21	lays	lay	VERB
arestyrurj-157	144	22	the	the	DET
arestyrurj-157	144	23	groundwork	groundwork	NOUN
arestyrurj-157	144	24	for	for	ADP
arestyrurj-157	144	25	analyzing	analyze	VERB
arestyrurj-157	144	26	compton	compton	PROPN
arestyrurj-157	144	27	scattering	scattering	NOUN
arestyrurj-157	144	28	in	in	ADP
arestyrurj-157	144	29	our	our	PRON
arestyrurj-157	144	30	setting	setting	NOUN
arestyrurj-157	144	31	.	.	PUNCT
arestyrurj-157	145	1	the	the	DET
arestyrurj-157	145	2	units	unit	NOUN
arestyrurj-157	145	3	of	of	ADP
arestyrurj-157	145	4	momentum	momentum	NOUN
arestyrurj-157	145	5	are	be	AUX
arestyrurj-157	145	6	mass	mass	ADJ
arestyrurj-157	145	7	×	×	NOUN
arestyrurj-157	145	8	velocity	velocity	NOUN
arestyrurj-157	145	9	.	.	PUNCT
arestyrurj-157	146	1	our	our	PRON
arestyrurj-157	146	2	unit	unit	NOUN
arestyrurj-157	146	3	of	of	ADP
arestyrurj-157	146	4	mass	mass	NOUN
arestyrurj-157	146	5	is	be	AUX
arestyrurj-157	146	6	0.117337	0.117337	NUM
arestyrurj-157	146	7	×	×	NOUN
arestyrurj-157	146	8	10—32	10—32	NUM
arestyrurj-157	146	9	kg	kg	NOUN
arestyrurj-157	146	10	,	,	PUNCT
arestyrurj-157	146	11	and	and	CCONJ
arestyrurj-157	146	12	our	our	PRON
arestyrurj-157	146	13	unit	unit	NOUN
arestyrurj-157	146	14	of	of	ADP
arestyrurj-157	146	15	velocity	velocity	NOUN
arestyrurj-157	146	16	is	be	AUX
arestyrurj-157	146	17	2.997924	2.997924	NUM
arestyrurj-157	146	18	×	×	NOUN
arestyrurj-157	146	19	10–8	10–8	NUM
arestyrurj-157	146	20	m	m	PROPN
arestyrurj-157	146	21	/	/	SYM
arestyrurj-157	146	22	s	s	X
arestyrurj-157	146	23	(	(	PUNCT
arestyrurj-157	146	24	the	the	DET
arestyrurj-157	146	25	speed	speed	NOUN
arestyrurj-157	146	26	of	of	ADP
arestyrurj-157	146	27	light	light	NOUN
arestyrurj-157	146	28	in	in	ADP
arestyrurj-157	146	29	a	a	DET
arestyrurj-157	146	30	vacuum	vacuum	NOUN
arestyrurj-157	146	31	)	)	PUNCT
arestyrurj-157	146	32	.	.	PUNCT
arestyrurj-157	147	1	hence	hence	ADV
arestyrurj-157	147	2	,	,	PUNCT
arestyrurj-157	147	3	one	one	NUM
arestyrurj-157	147	4	unit	unit	NOUN
arestyrurj-157	147	5	of	of	ADP
arestyrurj-157	147	6	momentum	momentum	NOUN
arestyrurj-157	147	7	is	be	AUX
arestyrurj-157	147	8	0.351767	0.351767	NUM
arestyrurj-157	147	9	×	×	NOUN
arestyrurj-157	147	10	10–24	10–24	NUM
arestyrurj-157	147	11	kg	kg	NOUN
arestyrurj-157	147	12	m	m	PROPN
arestyrurj-157	147	13	/	/	SYM
arestyrurj-157	147	14	s.	s.	PROPN
arestyrurj-157	147	15	in	in	ADP
arestyrurj-157	147	16	order	order	NOUN
arestyrurj-157	147	17	to	to	PART
arestyrurj-157	147	18	get	get	VERB
arestyrurj-157	147	19	a	a	DET
arestyrurj-157	147	20	more	more	ADV
arestyrurj-157	147	21	detailed	detailed	ADJ
arestyrurj-157	147	22	picture	picture	NOUN
arestyrurj-157	147	23	,	,	PUNCT
arestyrurj-157	147	24	we	we	PRON
arestyrurj-157	147	25	varied	vary	VERB
arestyrurj-157	147	26	the	the	DET
arestyrurj-157	147	27	mean	mean	ADJ
arestyrurj-157	147	28	momentum	momentum	NOUN
arestyrurj-157	147	29	of	of	ADP
arestyrurj-157	147	30	the	the	DET
arestyrurj-157	147	31	incoming	incoming	ADJ
arestyrurj-157	147	32	photon	photon	NOUN
arestyrurj-157	147	33	between	between	ADP
arestyrurj-157	147	34	0	0	NUM
arestyrurj-157	147	35	and	and	CCONJ
arestyrurj-157	147	36	10	10	NUM
arestyrurj-157	147	37	with	with	ADP
arestyrurj-157	147	38	mesh	mesh	NOUN
arestyrurj-157	147	39	of	of	ADP
arestyrurj-157	147	40	0.5	0.5	NUM
arestyrurj-157	147	41	.	.	PUNCT
arestyrurj-157	148	1	the	the	DET
arestyrurj-157	148	2	result	result	NOUN
arestyrurj-157	148	3	is	be	AUX
arestyrurj-157	148	4	figure	figure	NOUN
arestyrurj-157	148	5	10	10	NUM
arestyrurj-157	148	6	.	.	PUNCT
arestyrurj-157	149	1	viii	viii	PROPN
arestyrurj-157	149	2	.	.	PUNCT
arestyrurj-157	150	1	compton	compton	PROPN
arestyrurj-157	150	2	scattering	scatter	VERB
arestyrurj-157	150	3	in	in	ADP
arestyrurj-157	150	4	our	our	PRON
arestyrurj-157	150	5	model	model	NOUN
arestyrurj-157	150	6	we	we	PRON
arestyrurj-157	150	7	have	have	AUX
arestyrurj-157	150	8	found	find	VERB
arestyrurj-157	150	9	some	some	DET
arestyrurj-157	150	10	evidence	evidence	NOUN
arestyrurj-157	150	11	of	of	ADP
arestyrurj-157	150	12	the	the	DET
arestyrurj-157	150	13	applicability	applicability	NOUN
arestyrurj-157	150	14	of	of	ADP
arestyrurj-157	150	15	compton	compton	PROPN
arestyrurj-157	150	16	’s	’s	PART
arestyrurj-157	150	17	scattering	scatter	VERB
arestyrurj-157	150	18	formula	formula	NOUN
arestyrurj-157	150	19	to	to	ADP
arestyrurj-157	150	20	our	our	PRON
arestyrurj-157	150	21	model	model	NOUN
arestyrurj-157	150	22	,	,	PUNCT
arestyrurj-157	150	23	as	as	SCONJ
arestyrurj-157	150	24	seen	see	VERB
arestyrurj-157	150	25	in	in	ADP
arestyrurj-157	150	26	figure	figure	NOUN
arestyrurj-157	150	27	11	11	NUM
arestyrurj-157	150	28	.	.	PUNCT
arestyrurj-157	151	1	the	the	DET
arestyrurj-157	151	2	figure	figure	NOUN
arestyrurj-157	151	3	corresponds	correspond	VERB
arestyrurj-157	151	4	to	to	ADP
arestyrurj-157	151	5	the	the	DET
arestyrurj-157	151	6	parameter	parameter	NOUN
arestyrurj-157	151	7	values	value	NOUN
arestyrurj-157	151	8	𝜔𝜔	𝜔𝜔	ADP
arestyrurj-157	151	9	=	=	SYM
arestyrurj-157	151	10	2	2	NUM
arestyrurj-157	151	11	and	and	CCONJ
arestyrurj-157	151	12	𝜎𝜎𝑝𝑝ℎ	𝜎𝜎𝑝𝑝ℎ	ADJ
arestyrurj-157	151	13	=	=	SYM
arestyrurj-157	151	14	𝜎𝜎𝑒𝑒𝑒𝑒	𝜎𝜎𝑒𝑒𝑒𝑒	NOUN
arestyrurj-157	151	15	=	=	SYM
arestyrurj-157	151	16	0.1	0.1	NUM
arestyrurj-157	151	17	,	,	PUNCT
arestyrurj-157	151	18	while	while	SCONJ
arestyrurj-157	151	19	the	the	DET
arestyrurj-157	151	20	initial	initial	ADJ
arestyrurj-157	151	21	photon	photon	NOUN
arestyrurj-157	151	22	mean	mean	NOUN
arestyrurj-157	151	23	frequency	frequency	NOUN
arestyrurj-157	151	24	is	be	AUX
arestyrurj-157	151	25	increased	increase	VERB
arestyrurj-157	151	26	from	from	ADP
arestyrurj-157	151	27	𝑘𝑘0	𝑘𝑘0	PROPN
arestyrurj-157	151	28	=	=	NOUN
arestyrurj-157	151	29	1	1	NUM
arestyrurj-157	151	30	to	to	ADP
arestyrurj-157	151	31	𝑘𝑘0	𝑘𝑘0	NOUN
arestyrurj-157	151	32	=	=	NOUN
arestyrurj-157	151	33	10	10	NUM
arestyrurj-157	151	34	,	,	PUNCT
arestyrurj-157	151	35	and	and	CCONJ
arestyrurj-157	151	36	the	the	DET
arestyrurj-157	151	37	resulting	result	VERB
arestyrurj-157	151	38	electron	electron	NOUN
arestyrurj-157	151	39	trajectories	trajectory	NOUN
arestyrurj-157	151	40	are	be	AUX
arestyrurj-157	151	41	distinguished	distinguish	VERB
arestyrurj-157	151	42	by	by	ADP
arestyrurj-157	151	43	color	color	NOUN
arestyrurj-157	151	44	.	.	PUNCT
arestyrurj-157	152	1	again	again	ADV
arestyrurj-157	152	2	,	,	PUNCT
arestyrurj-157	152	3	the	the	DET
arestyrurj-157	152	4	unit	unit	NOUN
arestyrurj-157	152	5	of	of	ADP
arestyrurj-157	152	6	momentum	momentum	NOUN
arestyrurj-157	152	7	is	be	AUX
arestyrurj-157	152	8	0.351767	0.351767	NUM
arestyrurj-157	152	9	×	×	NOUN
arestyrurj-157	152	10	10–24	10–24	NUM
arestyrurj-157	152	11	kg	kg	NOUN
arestyrurj-157	152	12	m	m	PROPN
arestyrurj-157	152	13	/	/	SYM
arestyrurj-157	152	14	s.	s.	PROPN
arestyrurj-157	152	15	top	top	ADJ
arestyrurj-157	152	16	figure	figure	NOUN
arestyrurj-157	152	17	8	8	NUM
arestyrurj-157	152	18	:	:	PUNCT
arestyrurj-157	152	19	the	the	DET
arestyrurj-157	152	20	left	leave	VERB
arestyrurj-157	152	21	-	-	PUNCT
arestyrurj-157	152	22	most	most	ADJ
arestyrurj-157	152	23	plot	plot	NOUN
arestyrurj-157	152	24	shows	show	VERB
arestyrurj-157	152	25	an	an	DET
arestyrurj-157	152	26	angle	angle	NOUN
arestyrurj-157	152	27	of	of	ADP
arestyrurj-157	152	28	interaction	interaction	NOUN
arestyrurj-157	152	29	of	of	ADP
arestyrurj-157	152	30	0	0	NUM
arestyrurj-157	152	31	.	.	PUNCT
arestyrurj-157	153	1	the	the	DET
arestyrurj-157	153	2	middle	middle	PROPN
arestyrurj-157	153	3	plot	plot	NOUN
arestyrurj-157	153	4	shows	show	VERB
arestyrurj-157	153	5	an	an	DET
arestyrurj-157	153	6	angle	angle	NOUN
arestyrurj-157	153	7	of	of	ADP
arestyrurj-157	153	8	interaction	interaction	NOUN
arestyrurj-157	153	9	of	of	ADP
arestyrurj-157	153	10	π/2	π/2	PROPN
arestyrurj-157	153	11	and	and	CCONJ
arestyrurj-157	153	12	the	the	DET
arestyrurj-157	153	13	right	right	ADV
arestyrurj-157	153	14	-	-	PUNCT
arestyrurj-157	153	15	most	most	ADJ
arestyrurj-157	153	16	plot	plot	NOUN
arestyrurj-157	153	17	shows	show	VERB
arestyrurj-157	153	18	an	an	DET
arestyrurj-157	153	19	angle	angle	NOUN
arestyrurj-157	153	20	of	of	ADP
arestyrurj-157	153	21	interaction	interaction	NOUN
arestyrurj-157	153	22	of	of	ADP
arestyrurj-157	153	23	π	π	PROPN
arestyrurj-157	153	24	/4	/4	PROPN
arestyrurj-157	153	25	.	.	PUNCT
arestyrurj-157	154	1	we	we	PRON
arestyrurj-157	154	2	can	can	AUX
arestyrurj-157	154	3	see	see	VERB
arestyrurj-157	154	4	that	that	PRON
arestyrurj-157	154	5	as	as	ADP
arestyrurj-157	154	6	the	the	DET
arestyrurj-157	154	7	angle	angle	NOUN
arestyrurj-157	154	8	of	of	ADP
arestyrurj-157	154	9	interaction	interaction	NOUN
arestyrurj-157	154	10	varies	vary	VERB
arestyrurj-157	154	11	,	,	PUNCT
arestyrurj-157	154	12	no	no	DET
arestyrurj-157	154	13	change	change	NOUN
arestyrurj-157	154	14	occurs	occur	VERB
arestyrurj-157	154	15	in	in	ADP
arestyrurj-157	154	16	the	the	DET
arestyrurj-157	154	17	particle	particle	NOUN
arestyrurj-157	154	18	trajectories	trajectory	NOUN
arestyrurj-157	154	19	.	.	PUNCT
arestyrurj-157	155	1	non	non	ADJ
arestyrurj-157	155	2	-	-	ADJ
arestyrurj-157	155	3	interacting	interacting	ADJ
arestyrurj-157	155	4	trajectories	trajectory	NOUN
arestyrurj-157	155	5	are	be	AUX
arestyrurj-157	155	6	visible	visible	ADJ
arestyrurj-157	155	7	in	in	ADP
arestyrurj-157	155	8	dotted	dotted	ADJ
arestyrurj-157	155	9	lines	line	NOUN
arestyrurj-157	155	10	,	,	PUNCT
arestyrurj-157	155	11	and	and	CCONJ
arestyrurj-157	155	12	all	all	DET
arestyrurj-157	155	13	other	other	ADJ
arestyrurj-157	155	14	parameters	parameter	NOUN
arestyrurj-157	155	15	are	be	AUX
arestyrurj-157	155	16	kept	keep	VERB
arestyrurj-157	155	17	constant	constant	ADJ
arestyrurj-157	155	18	.	.	PUNCT
arestyrurj-157	156	1	bottom	bottom	ADJ
arestyrurj-157	156	2	figure	figure	NOUN
arestyrurj-157	156	3	9	9	NUM
arestyrurj-157	156	4	:	:	PUNCT
arestyrurj-157	156	5	interacting	interact	VERB
arestyrurj-157	156	6	photon	photon	NOUN
arestyrurj-157	156	7	(	(	PUNCT
arestyrurj-157	156	8	red	red	ADJ
arestyrurj-157	156	9	)	)	PUNCT
arestyrurj-157	156	10	electron	electron	NOUN
arestyrurj-157	156	11	(	(	PUNCT
arestyrurj-157	156	12	blue	blue	ADJ
arestyrurj-157	156	13	)	)	PUNCT
arestyrurj-157	156	14	trajectories	trajectory	NOUN
arestyrurj-157	156	15	with	with	ADP
arestyrurj-157	156	16	varying	vary	VERB
arestyrurj-157	156	17	photon	photon	NOUN
arestyrurj-157	156	18	momentum	momentum	NOUN
arestyrurj-157	156	19	.	.	PUNCT
arestyrurj-157	157	1	in	in	ADP
arestyrurj-157	157	2	the	the	DET
arestyrurj-157	157	3	left	left	ADJ
arestyrurj-157	157	4	-	-	PUNCT
arestyrurj-157	157	5	most	most	ADJ
arestyrurj-157	157	6	plot	plot	NOUN
arestyrurj-157	157	7	,	,	PUNCT
arestyrurj-157	157	8	the	the	DET
arestyrurj-157	157	9	momentum	momentum	NOUN
arestyrurj-157	157	10	of	of	ADP
arestyrurj-157	157	11	the	the	DET
arestyrurj-157	157	12	incoming	incoming	ADJ
arestyrurj-157	157	13	photon	photon	NOUN
arestyrurj-157	157	14	is	be	AUX
arestyrurj-157	157	15	0.1	0.1	NUM
arestyrurj-157	157	16	;	;	PUNCT
arestyrurj-157	157	17	in	in	ADP
arestyrurj-157	157	18	the	the	DET
arestyrurj-157	157	19	middle	middle	ADJ
arestyrurj-157	157	20	plot	plot	NOUN
arestyrurj-157	157	21	,	,	PUNCT
arestyrurj-157	157	22	the	the	DET
arestyrurj-157	157	23	momentum	momentum	NOUN
arestyrurj-157	157	24	of	of	ADP
arestyrurj-157	157	25	the	the	DET
arestyrurj-157	157	26	incoming	incoming	ADJ
arestyrurj-157	157	27	photon	photon	NOUN
arestyrurj-157	157	28	is	be	AUX
arestyrurj-157	157	29	1	1	NUM
arestyrurj-157	157	30	,	,	PUNCT
arestyrurj-157	157	31	and	and	CCONJ
arestyrurj-157	157	32	in	in	ADP
arestyrurj-157	157	33	the	the	DET
arestyrurj-157	157	34	right	right	ADV
arestyrurj-157	157	35	-	-	PUNCT
arestyrurj-157	157	36	most	most	ADJ
arestyrurj-157	157	37	plot	plot	NOUN
arestyrurj-157	157	38	,	,	PUNCT
arestyrurj-157	157	39	the	the	DET
arestyrurj-157	157	40	momentum	momentum	NOUN
arestyrurj-157	157	41	of	of	ADP
arestyrurj-157	157	42	the	the	DET
arestyrurj-157	157	43	incoming	incoming	ADJ
arestyrurj-157	157	44	photon	photon	NOUN
arestyrurj-157	157	45	is	be	AUX
arestyrurj-157	157	46	10	10	NUM
arestyrurj-157	157	47	.	.	PUNCT
arestyrurj-157	158	1	thus	thus	ADV
arestyrurj-157	158	2	,	,	PUNCT
arestyrurj-157	158	3	we	we	PRON
arestyrurj-157	158	4	see	see	VERB
arestyrurj-157	158	5	that	that	SCONJ
arestyrurj-157	158	6	a	a	DET
arestyrurj-157	158	7	higher	high	ADJ
arestyrurj-157	158	8	energy	energy	NOUN
arestyrurj-157	158	9	photon	photon	NOUN
arestyrurj-157	158	10	—	—	PUNCT
arestyrurj-157	158	11	a	a	DET
arestyrurj-157	158	12	photon	photon	NOUN
arestyrurj-157	158	13	with	with	ADP
arestyrurj-157	158	14	higher	high	ADJ
arestyrurj-157	158	15	momentum	momentum	NOUN
arestyrurj-157	158	16	—	—	PUNCT
arestyrurj-157	158	17	gets	get	VERB
arestyrurj-157	158	18	the	the	DET
arestyrurj-157	158	19	electron	electron	NOUN
arestyrurj-157	158	20	to	to	PART
arestyrurj-157	158	21	bounce	bounce	VERB
arestyrurj-157	158	22	away	away	ADV
arestyrurj-157	158	23	.	.	PUNCT
arestyrurj-157	159	1	again	again	ADV
arestyrurj-157	159	2	,	,	PUNCT
arestyrurj-157	159	3	non	non	ADJ
arestyrurj-157	159	4	-	-	ADJ
arestyrurj-157	159	5	interacting	interacting	ADJ
arestyrurj-157	159	6	trajectories	trajectory	NOUN
arestyrurj-157	159	7	are	be	AUX
arestyrurj-157	159	8	visible	visible	ADJ
arestyrurj-157	159	9	in	in	ADP
arestyrurj-157	159	10	dotted	dotted	ADJ
arestyrurj-157	159	11	lines	line	NOUN
arestyrurj-157	159	12	.	.	PUNCT
arestyrurj-157	160	1	aresty	aresty	ADJ
arestyrurj-157	160	2	rutgers	rutgers	PROPN
arestyrurj-157	160	3	undergraduate	undergraduate	PROPN
arestyrurj-157	160	4	research	research	PROPN
arestyrurj-157	160	5	journal	journal	PROPN
arestyrurj-157	160	6	,	,	PUNCT
arestyrurj-157	160	7	volume	volume	NOUN
arestyrurj-157	160	8	i	i	PRON
arestyrurj-157	160	9	,	,	PUNCT
arestyrurj-157	160	10	issue	issue	NOUN
arestyrurj-157	160	11	ii	ii	NUM
arestyrurj-157	160	12	top	top	ADJ
arestyrurj-157	160	13	figure	figure	NOUN
arestyrurj-157	160	14	10	10	NUM
arestyrurj-157	160	15	:	:	PUNCT
arestyrurj-157	160	16	each	each	DET
arestyrurj-157	160	17	pair	pair	NOUN
arestyrurj-157	160	18	of	of	ADP
arestyrurj-157	160	19	trajectories	trajectory	NOUN
arestyrurj-157	160	20	depicts	depict	VERB
arestyrurj-157	160	21	a	a	DET
arestyrurj-157	160	22	variation	variation	NOUN
arestyrurj-157	160	23	in	in	ADP
arestyrurj-157	160	24	the	the	DET
arestyrurj-157	160	25	momentum	momentum	NOUN
arestyrurj-157	160	26	of	of	ADP
arestyrurj-157	160	27	the	the	DET
arestyrurj-157	160	28	incoming	incoming	ADJ
arestyrurj-157	160	29	photon	photon	NOUN
arestyrurj-157	160	30	.	.	PUNCT
arestyrurj-157	161	1	bottom	bottom	ADJ
arestyrurj-157	161	2	figure	figure	NOUN
arestyrurj-157	161	3	11	11	NUM
arestyrurj-157	161	4	:	:	PUNCT
arestyrurj-157	161	5	left	leave	VERB
arestyrurj-157	161	6	:	:	PUNCT
arestyrurj-157	161	7	change	change	NOUN
arestyrurj-157	161	8	in	in	ADP
arestyrurj-157	161	9	bohmian	bohmian	ADJ
arestyrurj-157	161	10	trajectories	trajectory	NOUN
arestyrurj-157	161	11	of	of	ADP
arestyrurj-157	161	12	the	the	DET
arestyrurj-157	161	13	two	two	NUM
arestyrurj-157	161	14	particles	particle	NOUN
arestyrurj-157	161	15	due	due	ADP
arestyrurj-157	161	16	to	to	ADP
arestyrurj-157	161	17	the	the	DET
arestyrurj-157	161	18	increase	increase	NOUN
arestyrurj-157	161	19	in	in	ADP
arestyrurj-157	161	20	incoming	incoming	ADJ
arestyrurj-157	161	21	photon	photon	NOUN
arestyrurj-157	161	22	frequency	frequency	NOUN
arestyrurj-157	161	23	.	.	PUNCT
arestyrurj-157	162	1	right	right	ADJ
arestyrurj-157	162	2	:	:	PUNCT
arestyrurj-157	162	3	the	the	DET
arestyrurj-157	162	4	corresponding	correspond	VERB
arestyrurj-157	162	5	change	change	NOUN
arestyrurj-157	162	6	in	in	ADP
arestyrurj-157	162	7	electron	electron	NOUN
arestyrurj-157	162	8	’s	’s	PART
arestyrurj-157	162	9	post	post	ADJ
arestyrurj-157	162	10	-	-	ADJ
arestyrurj-157	162	11	scattering	scattering	ADJ
arestyrurj-157	162	12	momentum	momentum	NOUN
arestyrurj-157	162	13	,	,	PUNCT
arestyrurj-157	162	14	computed	compute	VERB
arestyrurj-157	162	15	from	from	ADP
arestyrurj-157	162	16	those	those	DET
arestyrurj-157	162	17	trajectories	trajectory	NOUN
arestyrurj-157	162	18	.	.	PUNCT
arestyrurj-157	163	1	aresty	aresty	ADJ
arestyrurj-157	163	2	rutgers	rutgers	PROPN
arestyrurj-157	163	3	undergraduate	undergraduate	PROPN
arestyrurj-157	163	4	research	research	PROPN
arestyrurj-157	163	5	journal	journal	PROPN
arestyrurj-157	163	6	,	,	PUNCT
arestyrurj-157	163	7	volume	volume	NOUN
arestyrurj-157	163	8	i	i	PRON
arestyrurj-157	163	9	,	,	PUNCT
arestyrurj-157	163	10	issue	issue	NOUN
arestyrurj-157	163	11	ii	ii	NUM
arestyrurj-157	163	12	top	top	ADJ
arestyrurj-157	163	13	figure	figure	NOUN
arestyrurj-157	163	14	12	12	NUM
arestyrurj-157	163	15	:	:	PUNCT
arestyrurj-157	163	16	change	change	NOUN
arestyrurj-157	163	17	in	in	ADP
arestyrurj-157	163	18	electron	electron	NOUN
arestyrurj-157	163	19	momentum	momentum	NOUN
arestyrurj-157	163	20	due	due	ADP
arestyrurj-157	163	21	to	to	ADP
arestyrurj-157	163	22	scattering	scatter	VERB
arestyrurj-157	163	23	(	(	PUNCT
arestyrurj-157	163	24	detail	detail	NOUN
arestyrurj-157	163	25	)	)	PUNCT
arestyrurj-157	163	26	.	.	PUNCT
arestyrurj-157	164	1	bottom	bottom	ADJ
arestyrurj-157	164	2	figure	figure	NOUN
arestyrurj-157	164	3	13	13	NUM
arestyrurj-157	164	4	:	:	PUNCT
arestyrurj-157	164	5	left	leave	VERB
arestyrurj-157	164	6	:	:	PUNCT
arestyrurj-157	164	7	dotted	dotted	ADJ
arestyrurj-157	164	8	lines	line	NOUN
arestyrurj-157	164	9	show	show	VERB
arestyrurj-157	164	10	the	the	DET
arestyrurj-157	164	11	non	non	ADJ
arestyrurj-157	164	12	-	-	ADJ
arestyrurj-157	164	13	interacting	interacting	ADJ
arestyrurj-157	164	14	case	case	NOUN
arestyrurj-157	164	15	,	,	PUNCT
arestyrurj-157	164	16	and	and	CCONJ
arestyrurj-157	164	17	solid	solid	ADJ
arestyrurj-157	164	18	lines	line	NOUN
arestyrurj-157	164	19	show	show	VERB
arestyrurj-157	164	20	interacting	interacting	ADJ
arestyrurj-157	164	21	cases	case	NOUN
arestyrurj-157	164	22	at	at	ADP
arestyrurj-157	164	23	various	various	ADJ
arestyrurj-157	164	24	incoming	incoming	ADJ
arestyrurj-157	164	25	photon	photon	NOUN
arestyrurj-157	164	26	frequencies	frequency	NOUN
arestyrurj-157	164	27	.	.	PUNCT
arestyrurj-157	165	1	right	right	ADJ
arestyrurj-157	165	2	:	:	PUNCT
arestyrurj-157	165	3	solid	solid	ADJ
arestyrurj-157	165	4	lines	line	NOUN
arestyrurj-157	165	5	refer	refer	VERB
arestyrurj-157	165	6	to	to	ADP
arestyrurj-157	165	7	momentum	momentum	NOUN
arestyrurj-157	165	8	of	of	ADP
arestyrurj-157	165	9	the	the	DET
arestyrurj-157	165	10	outgoing	outgoing	ADJ
arestyrurj-157	165	11	electron	electron	NOUN
arestyrurj-157	165	12	at	at	ADP
arestyrurj-157	165	13	various	various	ADJ
arestyrurj-157	165	14	frequencies	frequency	NOUN
arestyrurj-157	165	15	of	of	ADP
arestyrurj-157	165	16	incoming	incoming	ADJ
arestyrurj-157	165	17	photon	photon	NOUN
arestyrurj-157	165	18	.	.	PUNCT
arestyrurj-157	166	1	the	the	DET
arestyrurj-157	166	2	dotted	dotted	ADJ
arestyrurj-157	166	3	line	line	NOUN
arestyrurj-157	166	4	shows	show	VERB
arestyrurj-157	166	5	the	the	DET
arestyrurj-157	166	6	momentum	momentum	NOUN
arestyrurj-157	166	7	of	of	ADP
arestyrurj-157	166	8	the	the	DET
arestyrurj-157	166	9	electron	electron	NOUN
arestyrurj-157	166	10	in	in	ADP
arestyrurj-157	166	11	the	the	DET
arestyrurj-157	166	12	non	non	ADJ
arestyrurj-157	166	13	-	-	ADJ
arestyrurj-157	166	14	interacting	interacting	ADJ
arestyrurj-157	166	15	case	case	NOUN
arestyrurj-157	166	16	,	,	PUNCT
arestyrurj-157	166	17	as	as	SCONJ
arestyrurj-157	166	18	the	the	DET
arestyrurj-157	166	19	two	two	NUM
arestyrurj-157	166	20	particles	particle	NOUN
arestyrurj-157	166	21	“	"	PUNCT
arestyrurj-157	166	22	go	go	VERB
arestyrurj-157	166	23	through	through	ADP
arestyrurj-157	166	24	”	"	PUNCT
arestyrurj-157	166	25	each	each	DET
arestyrurj-157	166	26	other	other	ADJ
arestyrurj-157	166	27	.	.	PUNCT
arestyrurj-157	167	1	aresty	aresty	PROPN
arestyrurj-157	167	2	rutgers	rutgers	PROPN
arestyrurj-157	167	3	undergraduate	undergraduate	PROPN
arestyrurj-157	167	4	research	research	PROPN
arestyrurj-157	167	5	journal	journal	PROPN
arestyrurj-157	167	6	,	,	PUNCT
arestyrurj-157	167	7	volume	volume	NOUN
arestyrurj-157	167	8	i	i	PRON
arestyrurj-157	167	9	,	,	PUNCT
arestyrurj-157	167	10	issue	issue	NOUN
arestyrurj-157	167	11	ii	ii	NOUN
arestyrurj-157	167	12	if	if	SCONJ
arestyrurj-157	167	13	we	we	PRON
arestyrurj-157	167	14	zoom	zoom	VERB
arestyrurj-157	167	15	in	in	ADP
arestyrurj-157	167	16	on	on	ADP
arestyrurj-157	167	17	the	the	DET
arestyrurj-157	167	18	interaction	interaction	NOUN
arestyrurj-157	167	19	region	region	NOUN
arestyrurj-157	167	20	,	,	PUNCT
arestyrurj-157	167	21	we	we	PRON
arestyrurj-157	167	22	clearly	clearly	ADV
arestyrurj-157	167	23	see	see	VERB
arestyrurj-157	167	24	that	that	SCONJ
arestyrurj-157	167	25	the	the	DET
arestyrurj-157	167	26	gain	gain	NOUN
arestyrurj-157	167	27	in	in	ADP
arestyrurj-157	167	28	electron	electron	NOUN
arestyrurj-157	167	29	momentum	momentum	NOUN
arestyrurj-157	167	30	increases	increase	VERB
arestyrurj-157	167	31	linearly	linearly	ADV
arestyrurj-157	167	32	with	with	ADP
arestyrurj-157	167	33	𝑘𝑘0	𝑘𝑘0	PROPN
arestyrurj-157	167	34	,	,	PUNCT
arestyrurj-157	167	35	in	in	ADP
arestyrurj-157	167	36	qualitative	qualitative	ADJ
arestyrurj-157	167	37	agreement	agreement	NOUN
arestyrurj-157	167	38	with	with	ADP
arestyrurj-157	167	39	equation	equation	NOUN
arestyrurj-157	167	40	2.9	2.9	NUM
arestyrurj-157	167	41	.	.	PUNCT
arestyrurj-157	168	1	see	see	VERB
arestyrurj-157	168	2	figure	figure	NOUN
arestyrurj-157	168	3	12	12	NUM
arestyrurj-157	168	4	.	.	PUNCT
arestyrurj-157	169	1	in	in	ADP
arestyrurj-157	169	2	these	these	DET
arestyrurj-157	169	3	figures	figure	NOUN
arestyrurj-157	169	4	we	we	PRON
arestyrurj-157	169	5	have	have	AUX
arestyrurj-157	169	6	calculated	calculate	VERB
arestyrurj-157	169	7	the	the	DET
arestyrurj-157	169	8	electron	electron	NOUN
arestyrurj-157	169	9	’s	’s	PART
arestyrurj-157	169	10	“	"	PUNCT
arestyrurj-157	169	11	post	post	ADJ
arestyrurj-157	169	12	-	-	ADJ
arestyrurj-157	169	13	collision	collision	ADJ
arestyrurj-157	169	14	”	"	PUNCT
arestyrurj-157	169	15	momentum	momentum	NOUN
arestyrurj-157	169	16	by	by	ADP
arestyrurj-157	169	17	where	where	SCONJ
arestyrurj-157	169	18	𝑣𝑣𝑒𝑒𝑒𝑒	𝑣𝑣𝑒𝑒𝑒𝑒	NOUN
arestyrurj-157	169	19	is	be	AUX
arestyrurj-157	169	20	the	the	DET
arestyrurj-157	169	21	bohmian	bohmian	ADJ
arestyrurj-157	169	22	velocity	velocity	NOUN
arestyrurj-157	169	23	of	of	ADP
arestyrurj-157	169	24	the	the	DET
arestyrurj-157	169	25	electron	electron	NOUN
arestyrurj-157	169	26	calculated	calculate	VERB
arestyrurj-157	169	27	from	from	ADP
arestyrurj-157	169	28	the	the	DET
arestyrurj-157	169	29	wave	wave	NOUN
arestyrurj-157	169	30	function	function	NOUN
arestyrurj-157	169	31	,	,	PUNCT
arestyrurj-157	169	32	as	as	ADP
arestyrurj-157	169	33	in	in	ADP
arestyrurj-157	169	34	equation	equation	NOUN
arestyrurj-157	169	35	2.2	2.2	NUM
arestyrurj-157	169	36	,	,	PUNCT
arestyrurj-157	169	37	and	and	CCONJ
arestyrurj-157	169	38	evaluated	evaluate	VERB
arestyrurj-157	169	39	at	at	ADP
arestyrurj-157	169	40	the	the	DET
arestyrurj-157	169	41	actual	actual	ADJ
arestyrurj-157	169	42	positions	position	NOUN
arestyrurj-157	169	43	of	of	ADP
arestyrurj-157	169	44	the	the	DET
arestyrurj-157	169	45	two	two	NUM
arestyrurj-157	169	46	particles	particle	NOUN
arestyrurj-157	169	47	that	that	PRON
arestyrurj-157	169	48	have	have	AUX
arestyrurj-157	169	49	been	be	AUX
arestyrurj-157	169	50	calculated	calculate	VERB
arestyrurj-157	169	51	by	by	ADP
arestyrurj-157	169	52	solving	solve	VERB
arestyrurj-157	169	53	the	the	DET
arestyrurj-157	169	54	two	two	NUM
arestyrurj-157	169	55	differential	differential	ADJ
arestyrurj-157	169	56	equations	equation	NOUN
arestyrurj-157	169	57	equation	equation	NOUN
arestyrurj-157	169	58	2.1	2.1	NUM
arestyrurj-157	169	59	and	and	CCONJ
arestyrurj-157	169	60	equation	equation	NOUN
arestyrurj-157	169	61	2.2	2.2	NUM
arestyrurj-157	169	62	.	.	PUNCT
arestyrurj-157	170	1	the	the	DET
arestyrurj-157	170	2	graph	graph	NOUN
arestyrurj-157	170	3	on	on	ADP
arestyrurj-157	170	4	the	the	DET
arestyrurj-157	170	5	right	right	NOUN
arestyrurj-157	170	6	of	of	ADP
arestyrurj-157	170	7	figure	figure	NOUN
arestyrurj-157	170	8	13	13	NUM
arestyrurj-157	170	9	shows	show	VERB
arestyrurj-157	170	10	that	that	SCONJ
arestyrurj-157	170	11	even	even	ADV
arestyrurj-157	170	12	in	in	ADP
arestyrurj-157	170	13	the	the	DET
arestyrurj-157	170	14	non	non	ADJ
arestyrurj-157	170	15	-	-	ADJ
arestyrurj-157	170	16	interacting	interacting	ADJ
arestyrurj-157	170	17	case	case	NOUN
arestyrurj-157	170	18	,	,	PUNCT
arestyrurj-157	170	19	the	the	DET
arestyrurj-157	170	20	momentum	momentum	NOUN
arestyrurj-157	170	21	of	of	ADP
arestyrurj-157	170	22	the	the	DET
arestyrurj-157	170	23	electron	electron	NOUN
arestyrurj-157	170	24	computed	compute	VERB
arestyrurj-157	170	25	from	from	ADP
arestyrurj-157	170	26	trajectories	trajectory	NOUN
arestyrurj-157	170	27	is	be	AUX
arestyrurj-157	170	28	not	not	PART
arestyrurj-157	170	29	constant	constant	ADJ
arestyrurj-157	170	30	because	because	SCONJ
arestyrurj-157	170	31	its	its	PRON
arestyrurj-157	170	32	bohmian	bohmian	ADJ
arestyrurj-157	170	33	velocity	velocity	NOUN
arestyrurj-157	170	34	is	be	AUX
arestyrurj-157	170	35	not	not	PART
arestyrurj-157	170	36	constant	constant	ADJ
arestyrurj-157	170	37	;	;	PUNCT
arestyrurj-157	170	38	instead	instead	ADV
arestyrurj-157	170	39	,	,	PUNCT
arestyrurj-157	170	40	it	it	PRON
arestyrurj-157	170	41	fluctuates	fluctuate	VERB
arestyrurj-157	170	42	in	in	ADP
arestyrurj-157	170	43	time	time	NOUN
arestyrurj-157	170	44	.	.	PUNCT
arestyrurj-157	171	1	finally	finally	ADV
arestyrurj-157	171	2	,	,	PUNCT
arestyrurj-157	171	3	we	we	PRON
arestyrurj-157	171	4	compared	compare	VERB
arestyrurj-157	171	5	our	our	PRON
arestyrurj-157	171	6	computed	computed	ADJ
arestyrurj-157	171	7	electron	electron	NOUN
arestyrurj-157	171	8	momentum	momentum	NOUN
arestyrurj-157	171	9	to	to	ADP
arestyrurj-157	171	10	the	the	DET
arestyrurj-157	171	11	theoretical	theoretical	ADJ
arestyrurj-157	171	12	values	value	NOUN
arestyrurj-157	171	13	computed	compute	VERB
arestyrurj-157	171	14	with	with	ADP
arestyrurj-157	171	15	compton	compton	PROPN
arestyrurj-157	171	16	’s	’s	PART
arestyrurj-157	171	17	formula	formula	NOUN
arestyrurj-157	171	18	.	.	PUNCT
arestyrurj-157	172	1	our	our	PRON
arestyrurj-157	172	2	results	result	NOUN
arestyrurj-157	172	3	show	show	VERB
arestyrurj-157	172	4	that	that	SCONJ
arestyrurj-157	172	5	some	some	DET
arestyrurj-157	172	6	frequencies	frequency	NOUN
arestyrurj-157	172	7	of	of	ADP
arestyrurj-157	172	8	the	the	DET
arestyrurj-157	172	9	incoming	incoming	ADJ
arestyrurj-157	172	10	photon	photon	NOUN
arestyrurj-157	172	11	allow	allow	VERB
arestyrurj-157	172	12	for	for	ADP
arestyrurj-157	172	13	a	a	DET
arestyrurj-157	172	14	better	well	ADJ
arestyrurj-157	172	15	match	match	NOUN
arestyrurj-157	172	16	than	than	ADP
arestyrurj-157	172	17	others	other	NOUN
arestyrurj-157	172	18	between	between	ADP
arestyrurj-157	172	19	compton	compton	PROPN
arestyrurj-157	172	20	’s	’s	PART
arestyrurj-157	172	21	formula	formula	NOUN
arestyrurj-157	172	22	and	and	CCONJ
arestyrurj-157	172	23	computations	computation	NOUN
arestyrurj-157	172	24	based	base	VERB
arestyrurj-157	172	25	on	on	ADP
arestyrurj-157	172	26	de	de	PROPN
arestyrurj-157	172	27	broglie	broglie	PROPN
arestyrurj-157	172	28	-	-	PUNCT
arestyrurj-157	172	29	bohm	bohm	PROPN
arestyrurj-157	172	30	theory	theory	NOUN
arestyrurj-157	172	31	.	.	PUNCT
arestyrurj-157	173	1	further	further	ADJ
arestyrurj-157	173	2	research	research	NOUN
arestyrurj-157	173	3	in	in	ADP
arestyrurj-157	173	4	this	this	DET
arestyrurj-157	173	5	area	area	NOUN
arestyrurj-157	173	6	would	would	AUX
arestyrurj-157	173	7	be	be	AUX
arestyrurj-157	173	8	useful	useful	ADJ
arestyrurj-157	173	9	to	to	PART
arestyrurj-157	173	10	understand	understand	VERB
arestyrurj-157	173	11	which	which	DET
arestyrurj-157	173	12	regime	regime	NOUN
arestyrurj-157	173	13	of	of	ADP
arestyrurj-157	173	14	parameters	parameter	NOUN
arestyrurj-157	173	15	allow	allow	VERB
arestyrurj-157	173	16	for	for	ADP
arestyrurj-157	173	17	a	a	DET
arestyrurj-157	173	18	better	well	ADJ
arestyrurj-157	173	19	fit	fit	NOUN
arestyrurj-157	173	20	,	,	PUNCT
arestyrurj-157	173	21	and	and	CCONJ
arestyrurj-157	173	22	why	why	SCONJ
arestyrurj-157	173	23	.	.	PUNCT
arestyrurj-157	174	1	4	4	NUM
arestyrurj-157	174	2	discussion	discussion	NOUN
arestyrurj-157	174	3	in	in	ADP
arestyrurj-157	174	4	this	this	DET
arestyrurj-157	174	5	research	research	NOUN
arestyrurj-157	174	6	,	,	PUNCT
arestyrurj-157	174	7	we	we	PRON
arestyrurj-157	174	8	studied	study	VERB
arestyrurj-157	174	9	probability	probability	NOUN
arestyrurj-157	174	10	density	density	NOUN
arestyrurj-157	174	11	functions	function	NOUN
arestyrurj-157	174	12	and	and	CCONJ
arestyrurj-157	174	13	bohmian	bohmian	ADJ
arestyrurj-157	174	14	trajectories	trajectory	NOUN
arestyrurj-157	174	15	for	for	ADP
arestyrurj-157	174	16	a	a	DET
arestyrurj-157	174	17	single	single	ADJ
arestyrurj-157	174	18	electron	electron	NOUN
arestyrurj-157	174	19	and	and	CCONJ
arestyrurj-157	174	20	a	a	DET
arestyrurj-157	174	21	single	single	ADJ
arestyrurj-157	174	22	photon	photon	NOUN
arestyrurj-157	174	23	guided	guide	VERB
arestyrurj-157	174	24	by	by	ADP
arestyrurj-157	174	25	their	their	PRON
arestyrurj-157	174	26	respective	respective	ADJ
arestyrurj-157	174	27	wave	wave	NOUN
arestyrurj-157	174	28	functions	function	NOUN
arestyrurj-157	174	29	in	in	ADP
arestyrurj-157	174	30	one	one	NUM
arestyrurj-157	174	31	space	space	NOUN
arestyrurj-157	174	32	dimension[10,12	dimension[10,12	NOUN
arestyrurj-157	174	33	]	]	PUNCT
arestyrurj-157	174	34	.	.	PUNCT
arestyrurj-157	175	1	we	we	PRON
arestyrurj-157	175	2	then	then	ADV
arestyrurj-157	175	3	analyzed	analyze	VERB
arestyrurj-157	175	4	the	the	DET
arestyrurj-157	175	5	probability	probability	NOUN
arestyrurj-157	175	6	density	density	NOUN
arestyrurj-157	175	7	functions	function	NOUN
arestyrurj-157	175	8	and	and	CCONJ
arestyrurj-157	175	9	bohmian	bohmian	ADJ
arestyrurj-157	175	10	trajectories	trajectory	NOUN
arestyrurj-157	175	11	of	of	ADP
arestyrurj-157	175	12	both	both	CCONJ
arestyrurj-157	175	13	a	a	DET
arestyrurj-157	175	14	non	non	ADJ
arestyrurj-157	175	15	-	-	ADJ
arestyrurj-157	175	16	interacting	interact	VERB
arestyrurj-157	175	17	and	and	CCONJ
arestyrurj-157	175	18	interacting	interact	VERB
arestyrurj-157	175	19	two	two	NUM
arestyrurj-157	175	20	-	-	PUNCT
arestyrurj-157	175	21	body	body	NOUN
arestyrurj-157	175	22	system	system	NOUN
arestyrurj-157	175	23	consisting	consist	VERB
arestyrurj-157	175	24	of	of	ADP
arestyrurj-157	175	25	a	a	DET
arestyrurj-157	175	26	photon	photon	NOUN
arestyrurj-157	175	27	and	and	CCONJ
arestyrurj-157	175	28	an	an	DET
arestyrurj-157	175	29	electron	electron	NOUN
arestyrurj-157	175	30	,	,	PUNCT
arestyrurj-157	175	31	in	in	ADP
arestyrurj-157	175	32	one	one	NUM
arestyrurj-157	175	33	space	space	NOUN
arestyrurj-157	175	34	dimension	dimension	NOUN
arestyrurj-157	175	35	,	,	PUNCT
arestyrurj-157	175	36	where	where	SCONJ
arestyrurj-157	175	37	both	both	DET
arestyrurj-157	175	38	particles	particle	NOUN
arestyrurj-157	175	39	were	be	AUX
arestyrurj-157	175	40	guided	guide	VERB
arestyrurj-157	175	41	by	by	ADP
arestyrurj-157	175	42	the	the	DET
arestyrurj-157	175	43	same	same	ADJ
arestyrurj-157	175	44	two	two	NUM
arestyrurj-157	175	45	-	-	PUNCT
arestyrurj-157	175	46	body	body	NOUN
arestyrurj-157	175	47	multi	multi	ADJ
arestyrurj-157	175	48	-	-	ADJ
arestyrurj-157	175	49	time	time	ADJ
arestyrurj-157	175	50	wave	wave	NOUN
arestyrurj-157	175	51	function	function	NOUN
arestyrurj-157	175	52	.	.	PUNCT
arestyrurj-157	176	1	dirac	dirac	PROPN
arestyrurj-157	176	2	introduced	introduce	VERB
arestyrurj-157	176	3	the	the	DET
arestyrurj-157	176	4	concept	concept	NOUN
arestyrurj-157	176	5	of	of	ADP
arestyrurj-157	176	6	multi	multi	ADJ
arestyrurj-157	176	7	-	-	ADJ
arestyrurj-157	176	8	time	time	NOUN
arestyrurj-157	176	9	wave	wave	NOUN
arestyrurj-157	176	10	functions	function	NOUN
arestyrurj-157	176	11	,	,	PUNCT
arestyrurj-157	176	12	but	but	CCONJ
arestyrurj-157	176	13	the	the	DET
arestyrurj-157	176	14	idea	idea	NOUN
arestyrurj-157	176	15	that	that	SCONJ
arestyrurj-157	176	16	the	the	DET
arestyrurj-157	176	17	wave	wave	NOUN
arestyrurj-157	176	18	function	function	NOUN
arestyrurj-157	176	19	guided	guide	VERB
arestyrurj-157	176	20	the	the	DET
arestyrurj-157	176	21	motion	motion	NOUN
arestyrurj-157	176	22	of	of	ADP
arestyrurj-157	176	23	particles	particle	NOUN
arestyrurj-157	176	24	in	in	ADP
arestyrurj-157	176	25	the	the	DET
arestyrurj-157	176	26	system	system	NOUN
arestyrurj-157	176	27	did	do	AUX
arestyrurj-157	176	28	not	not	PART
arestyrurj-157	176	29	arise	arise	VERB
arestyrurj-157	176	30	until	until	SCONJ
arestyrurj-157	176	31	bohmian	bohmian	ADJ
arestyrurj-157	176	32	mechanics	mechanic	NOUN
arestyrurj-157	176	33	was	be	AUX
arestyrurj-157	176	34	developed[2,7	developed[2,7	VERB
arestyrurj-157	176	35	]	]	PUNCT
arestyrurj-157	176	36	.	.	PUNCT
arestyrurj-157	177	1	the	the	DET
arestyrurj-157	177	2	idea	idea	NOUN
arestyrurj-157	177	3	that	that	SCONJ
arestyrurj-157	177	4	multi	multi	ADJ
arestyrurj-157	177	5	-	-	ADJ
arestyrurj-157	177	6	time	time	ADJ
arestyrurj-157	177	7	wave	wave	NOUN
arestyrurj-157	177	8	functions	function	NOUN
arestyrurj-157	177	9	can	can	AUX
arestyrurj-157	177	10	guide	guide	VERB
arestyrurj-157	177	11	the	the	DET
arestyrurj-157	177	12	motion	motion	NOUN
arestyrurj-157	177	13	of	of	ADP
arestyrurj-157	177	14	relativistic	relativistic	ADJ
arestyrurj-157	177	15	particles	particle	NOUN
arestyrurj-157	177	16	is	be	AUX
arestyrurj-157	177	17	far	far	ADV
arestyrurj-157	177	18	more	more	ADJ
arestyrurj-157	177	19	recent[8	recent[8	ADP
arestyrurj-157	177	20	]	]	PUNCT
arestyrurj-157	177	21	.	.	PUNCT
arestyrurj-157	178	1	we	we	PRON
arestyrurj-157	178	2	studied	study	VERB
arestyrurj-157	178	3	how	how	SCONJ
arestyrurj-157	178	4	the	the	DET
arestyrurj-157	178	5	dynamics	dynamic	NOUN
arestyrurj-157	178	6	of	of	ADP
arestyrurj-157	178	7	the	the	DET
arestyrurj-157	178	8	two	two	NUM
arestyrurj-157	178	9	particles	particle	NOUN
arestyrurj-157	178	10	depended	depend	VERB
arestyrurj-157	178	11	on	on	ADP
arestyrurj-157	178	12	several	several	ADJ
arestyrurj-157	178	13	key	key	ADJ
arestyrurj-157	178	14	parameters	parameter	NOUN
arestyrurj-157	178	15	in	in	ADP
arestyrurj-157	178	16	the	the	DET
arestyrurj-157	178	17	problem	problem	NOUN
arestyrurj-157	178	18	,	,	PUNCT
arestyrurj-157	178	19	such	such	ADJ
arestyrurj-157	178	20	as	as	ADP
arestyrurj-157	178	21	the	the	DET
arestyrurj-157	178	22	frequency	frequency	NOUN
arestyrurj-157	178	23	of	of	ADP
arestyrurj-157	178	24	the	the	DET
arestyrurj-157	178	25	incoming	incoming	ADJ
arestyrurj-157	178	26	photon	photon	NOUN
arestyrurj-157	178	27	,	,	PUNCT
arestyrurj-157	178	28	and	and	CCONJ
arestyrurj-157	178	29	the	the	DET
arestyrurj-157	178	30	rest	rest	NOUN
arestyrurj-157	178	31	mass	mass	NOUN
arestyrurj-157	178	32	of	of	ADP
arestyrurj-157	178	33	the	the	DET
arestyrurj-157	178	34	electron	electron	NOUN
arestyrurj-157	178	35	.	.	PUNCT
arestyrurj-157	179	1	we	we	PRON
arestyrurj-157	179	2	did	do	VERB
arestyrurj-157	179	3	a	a	DET
arestyrurj-157	179	4	preliminary	preliminary	ADJ
arestyrurj-157	179	5	analysis	analysis	NOUN
arestyrurj-157	179	6	of	of	ADP
arestyrurj-157	179	7	compton	compton	PROPN
arestyrurj-157	179	8	scattering	scattering	NOUN
arestyrurj-157	179	9	,	,	PUNCT
arestyrurj-157	179	10	and	and	CCONJ
arestyrurj-157	179	11	found	find	VERB
arestyrurj-157	179	12	qualitative	qualitative	ADJ
arestyrurj-157	179	13	agreement	agreement	NOUN
arestyrurj-157	179	14	between	between	ADP
arestyrurj-157	179	15	compton	compton	PROPN
arestyrurj-157	179	16	’s	’s	PART
arestyrurj-157	179	17	quasi	quasi	ADJ
arestyrurj-157	179	18	-	-	ADJ
arestyrurj-157	179	19	classically	classically	ADV
arestyrurj-157	179	20	derived	derived	ADJ
arestyrurj-157	179	21	formula	formula	NOUN
arestyrurj-157	179	22	for	for	ADP
arestyrurj-157	179	23	the	the	DET
arestyrurj-157	179	24	gain	gain	NOUN
arestyrurj-157	179	25	in	in	ADP
arestyrurj-157	179	26	electron	electron	NOUN
arestyrurj-157	179	27	’s	’s	PART
arestyrurj-157	179	28	momentum	momentum	NOUN
arestyrurj-157	179	29	,	,	PUNCT
arestyrurj-157	179	30	and	and	CCONJ
arestyrurj-157	179	31	the	the	DET
arestyrurj-157	179	32	corresponding	corresponding	ADJ
arestyrurj-157	179	33	values	value	NOUN
arestyrurj-157	179	34	computed	compute	VERB
arestyrurj-157	179	35	from	from	ADP
arestyrurj-157	179	36	the	the	DET
arestyrurj-157	179	37	trajectories	trajectory	NOUN
arestyrurj-157	179	38	.	.	PUNCT
arestyrurj-157	180	1	however	however	ADV
arestyrurj-157	180	2	,	,	PUNCT
arestyrurj-157	180	3	there	there	PRON
arestyrurj-157	180	4	is	be	VERB
arestyrurj-157	180	5	much	much	ADJ
arestyrurj-157	180	6	work	work	NOUN
arestyrurj-157	180	7	that	that	PRON
arestyrurj-157	180	8	remains	remain	VERB
arestyrurj-157	180	9	to	to	PART
arestyrurj-157	180	10	be	be	AUX
arestyrurj-157	180	11	done	do	VERB
arestyrurj-157	180	12	.	.	PUNCT
arestyrurj-157	181	1	in	in	ADP
arestyrurj-157	181	2	our	our	PRON
arestyrurj-157	181	3	modeling	modeling	NOUN
arestyrurj-157	181	4	of	of	ADP
arestyrurj-157	181	5	the	the	DET
arestyrurj-157	181	6	two	two	NUM
arestyrurj-157	181	7	-	-	PUNCT
arestyrurj-157	181	8	body	body	NOUN
arestyrurj-157	181	9	system	system	NOUN
arestyrurj-157	181	10	,	,	PUNCT
arestyrurj-157	181	11	the	the	DET
arestyrurj-157	181	12	trajectories	trajectory	NOUN
arestyrurj-157	181	13	of	of	ADP
arestyrurj-157	181	14	the	the	DET
arestyrurj-157	181	15	non	non	ADJ
arestyrurj-157	181	16	-	-	ADJ
arestyrurj-157	181	17	interacting	interacting	ADJ
arestyrurj-157	181	18	system	system	NOUN
arestyrurj-157	181	19	were	be	AUX
arestyrurj-157	181	20	shown	show	VERB
arestyrurj-157	181	21	to	to	PART
arestyrurj-157	181	22	simply	simply	ADV
arestyrurj-157	181	23	be	be	AUX
arestyrurj-157	181	24	a	a	DET
arestyrurj-157	181	25	superposition	superposition	NOUN
arestyrurj-157	181	26	of	of	ADP
arestyrurj-157	181	27	the	the	DET
arestyrurj-157	181	28	trajectories	trajectory	NOUN
arestyrurj-157	181	29	of	of	ADP
arestyrurj-157	181	30	a	a	DET
arestyrurj-157	181	31	single	single	ADJ
arestyrurj-157	181	32	photon	photon	NOUN
arestyrurj-157	181	33	and	and	CCONJ
arestyrurj-157	181	34	a	a	DET
arestyrurj-157	181	35	single	single	ADJ
arestyrurj-157	181	36	electron	electron	NOUN
arestyrurj-157	181	37	.	.	PUNCT
arestyrurj-157	182	1	this	this	PRON
arestyrurj-157	182	2	was	be	AUX
arestyrurj-157	182	3	no	no	ADV
arestyrurj-157	182	4	longer	long	ADV
arestyrurj-157	182	5	the	the	DET
arestyrurj-157	182	6	case	case	NOUN
arestyrurj-157	182	7	once	once	SCONJ
arestyrurj-157	182	8	the	the	DET
arestyrurj-157	182	9	boundary	boundary	ADJ
arestyrurj-157	182	10	condition	condition	NOUN
arestyrurj-157	182	11	was	be	AUX
arestyrurj-157	182	12	added	add	VERB
arestyrurj-157	182	13	.	.	PUNCT
arestyrurj-157	183	1	the	the	DET
arestyrurj-157	183	2	wave	wave	NOUN
arestyrurj-157	183	3	function	function	NOUN
arestyrurj-157	183	4	governing	govern	VERB
arestyrurj-157	183	5	the	the	DET
arestyrurj-157	183	6	system	system	NOUN
arestyrurj-157	183	7	indicates	indicate	VERB
arestyrurj-157	183	8	that	that	SCONJ
arestyrurj-157	183	9	post	post	NOUN
arestyrurj-157	183	10	-	-	NOUN
arestyrurj-157	183	11	interaction	interaction	NOUN
arestyrurj-157	183	12	,	,	PUNCT
arestyrurj-157	183	13	the	the	DET
arestyrurj-157	183	14	two	two	NUM
arestyrurj-157	183	15	particles	particle	NOUN
arestyrurj-157	183	16	become	become	VERB
arestyrurj-157	183	17	entangled	entangled	ADJ
arestyrurj-157	183	18	even	even	ADV
arestyrurj-157	183	19	if	if	SCONJ
arestyrurj-157	183	20	we	we	PRON
arestyrurj-157	183	21	initially	initially	ADV
arestyrurj-157	183	22	have	have	VERB
arestyrurj-157	183	23	a	a	DET
arestyrurj-157	183	24	pure	pure	ADJ
arestyrurj-157	183	25	product	product	NOUN
arestyrurj-157	183	26	state	state	NOUN
arestyrurj-157	183	27	.	.	PUNCT
arestyrurj-157	184	1	in	in	ADP
arestyrurj-157	184	2	varying	vary	VERB
arestyrurj-157	184	3	the	the	DET
arestyrurj-157	184	4	parameters	parameter	NOUN
arestyrurj-157	184	5	of	of	ADP
arestyrurj-157	184	6	mass	mass	NOUN
arestyrurj-157	184	7	and	and	CCONJ
arestyrurj-157	184	8	standard	standard	ADJ
arestyrurj-157	184	9	deviation	deviation	NOUN
arestyrurj-157	184	10	of	of	ADP
arestyrurj-157	184	11	the	the	DET
arestyrurj-157	184	12	initial	initial	ADJ
arestyrurj-157	184	13	distribution	distribution	NOUN
arestyrurj-157	184	14	for	for	ADP
arestyrurj-157	184	15	the	the	DET
arestyrurj-157	184	16	electron	electron	NOUN
arestyrurj-157	184	17	,	,	PUNCT
arestyrurj-157	184	18	we	we	PRON
arestyrurj-157	184	19	saw	see	VERB
arestyrurj-157	184	20	that	that	SCONJ
arestyrurj-157	184	21	more	more	ADV
arestyrurj-157	184	22	massive	massive	ADJ
arestyrurj-157	184	23	electrons	electron	NOUN
arestyrurj-157	184	24	were	be	AUX
arestyrurj-157	184	25	likely	likely	ADJ
arestyrurj-157	184	26	to	to	PART
arestyrurj-157	184	27	have	have	VERB
arestyrurj-157	184	28	a	a	DET
arestyrurj-157	184	29	straighter	straight	ADJ
arestyrurj-157	184	30	trajectory	trajectory	NOUN
arestyrurj-157	184	31	,	,	PUNCT
arestyrurj-157	184	32	indicating	indicate	VERB
arestyrurj-157	184	33	slower	slow	ADJ
arestyrurj-157	184	34	figure	figure	NOUN
arestyrurj-157	184	35	14	14	NUM
arestyrurj-157	184	36	:	:	PUNCT
arestyrurj-157	184	37	the	the	DET
arestyrurj-157	184	38	red	red	ADJ
arestyrurj-157	184	39	line	line	NOUN
arestyrurj-157	184	40	shows	show	VERB
arestyrurj-157	184	41	theoretical	theoretical	ADJ
arestyrurj-157	184	42	values	value	NOUN
arestyrurj-157	184	43	of	of	ADP
arestyrurj-157	184	44	momentum	momentum	NOUN
arestyrurj-157	184	45	of	of	ADP
arestyrurj-157	184	46	the	the	DET
arestyrurj-157	184	47	outgoing	outgoing	ADJ
arestyrurj-157	184	48	electron	electron	NOUN
arestyrurj-157	184	49	computed	compute	VERB
arestyrurj-157	184	50	using	use	VERB
arestyrurj-157	184	51	compton	compton	PROPN
arestyrurj-157	184	52	’s	’s	PART
arestyrurj-157	184	53	formula	formula	NOUN
arestyrurj-157	184	54	.	.	PUNCT
arestyrurj-157	185	1	the	the	DET
arestyrurj-157	185	2	blue	blue	ADJ
arestyrurj-157	185	3	circles	circle	NOUN
arestyrurj-157	185	4	indicate	indicate	VERB
arestyrurj-157	185	5	the	the	DET
arestyrurj-157	185	6	results	result	NOUN
arestyrurj-157	185	7	of	of	ADP
arestyrurj-157	185	8	our	our	PRON
arestyrurj-157	185	9	numerical	numerical	ADJ
arestyrurj-157	185	10	investigation	investigation	NOUN
arestyrurj-157	185	11	of	of	ADP
arestyrurj-157	185	12	the	the	DET
arestyrurj-157	185	13	outgoing	outgoing	ADJ
arestyrurj-157	185	14	electron	electron	NOUN
arestyrurj-157	185	15	momentum	momentum	NOUN
arestyrurj-157	185	16	computed	compute	VERB
arestyrurj-157	185	17	from	from	ADP
arestyrurj-157	185	18	bohmian	bohmian	ADJ
arestyrurj-157	185	19	trajectories	trajectory	NOUN
arestyrurj-157	185	20	.	.	PUNCT
arestyrurj-157	186	1	aresty	aresty	ADJ
arestyrurj-157	186	2	rutgers	rutgers	PROPN
arestyrurj-157	186	3	undergraduate	undergraduate	PROPN
arestyrurj-157	186	4	research	research	PROPN
arestyrurj-157	186	5	journal	journal	PROPN
arestyrurj-157	186	6	,	,	PUNCT
arestyrurj-157	186	7	volume	volume	NOUN
arestyrurj-157	186	8	i	i	PRON
arestyrurj-157	186	9	,	,	PUNCT
arestyrurj-157	186	10	issue	issue	NOUN
arestyrurj-157	186	11	ii	ii	NOUN
arestyrurj-157	186	12	movement	movement	NOUN
arestyrurj-157	186	13	and	and	CCONJ
arestyrurj-157	186	14	less	less	ADJ
arestyrurj-157	186	15	likelihood	likelihood	NOUN
arestyrurj-157	186	16	to	to	PART
arestyrurj-157	186	17	recoil	recoil	VERB
arestyrurj-157	186	18	away	away	ADV
arestyrurj-157	186	19	.	.	PUNCT
arestyrurj-157	187	1	furthermore	furthermore	ADV
arestyrurj-157	187	2	,	,	PUNCT
arestyrurj-157	187	3	varying	vary	VERB
arestyrurj-157	187	4	the	the	DET
arestyrurj-157	187	5	standard	standard	ADJ
arestyrurj-157	187	6	deviation	deviation	NOUN
arestyrurj-157	187	7	of	of	ADP
arestyrurj-157	187	8	the	the	DET
arestyrurj-157	187	9	initial	initial	ADJ
arestyrurj-157	187	10	distribution	distribution	NOUN
arestyrurj-157	187	11	of	of	ADP
arestyrurj-157	187	12	the	the	DET
arestyrurj-157	187	13	electron	electron	NOUN
arestyrurj-157	187	14	’s	’s	PART
arestyrurj-157	187	15	position	position	NOUN
arestyrurj-157	187	16	seemed	seem	VERB
arestyrurj-157	187	17	to	to	PART
arestyrurj-157	187	18	alter	alter	VERB
arestyrurj-157	187	19	the	the	DET
arestyrurj-157	187	20	trajectories	trajectory	NOUN
arestyrurj-157	187	21	and	and	CCONJ
arestyrurj-157	187	22	the	the	DET
arestyrurj-157	187	23	nature	nature	NOUN
arestyrurj-157	187	24	of	of	ADP
arestyrurj-157	187	25	the	the	DET
arestyrurj-157	187	26	interaction	interaction	NOUN
arestyrurj-157	187	27	:	:	PUNCT
arestyrurj-157	187	28	lower	low	ADJ
arestyrurj-157	187	29	standard	standard	ADJ
arestyrurj-157	187	30	deviation	deviation	NOUN
arestyrurj-157	187	31	values	value	NOUN
arestyrurj-157	187	32	resulted	result	VERB
arestyrurj-157	187	33	in	in	ADP
arestyrurj-157	187	34	the	the	DET
arestyrurj-157	187	35	electron	electron	NOUN
arestyrurj-157	187	36	and	and	CCONJ
arestyrurj-157	187	37	photon	photon	NOUN
arestyrurj-157	187	38	staying	stay	VERB
arestyrurj-157	187	39	together	together	ADV
arestyrurj-157	187	40	for	for	ADP
arestyrurj-157	187	41	longer	long	ADJ
arestyrurj-157	187	42	instead	instead	ADV
arestyrurj-157	187	43	of	of	ADP
arestyrurj-157	187	44	bouncing	bounce	VERB
arestyrurj-157	187	45	off	off	ADP
arestyrurj-157	187	46	immediately	immediately	ADV
arestyrurj-157	187	47	.	.	PUNCT
arestyrurj-157	188	1	however	however	ADV
arestyrurj-157	188	2	,	,	PUNCT
arestyrurj-157	188	3	more	more	ADJ
arestyrurj-157	188	4	investigation	investigation	NOUN
arestyrurj-157	188	5	is	be	AUX
arestyrurj-157	188	6	required	require	VERB
arestyrurj-157	188	7	to	to	PART
arestyrurj-157	188	8	better	well	ADV
arestyrurj-157	188	9	understand	understand	VERB
arestyrurj-157	188	10	the	the	DET
arestyrurj-157	188	11	interplay	interplay	NOUN
arestyrurj-157	188	12	between	between	ADP
arestyrurj-157	188	13	these	these	DET
arestyrurj-157	188	14	parameters	parameter	NOUN
arestyrurj-157	188	15	.	.	PUNCT
arestyrurj-157	189	1	in	in	ADP
arestyrurj-157	189	2	varying	vary	VERB
arestyrurj-157	189	3	the	the	DET
arestyrurj-157	189	4	phase	phase	NOUN
arestyrurj-157	189	5	angle	angle	NOUN
arestyrurj-157	189	6	of	of	ADP
arestyrurj-157	189	7	interaction	interaction	NOUN
arestyrurj-157	189	8	,	,	PUNCT
arestyrurj-157	189	9	we	we	PRON
arestyrurj-157	189	10	found	find	VERB
arestyrurj-157	189	11	evidence	evidence	NOUN
arestyrurj-157	189	12	that	that	SCONJ
arestyrurj-157	189	13	the	the	DET
arestyrurj-157	189	14	dynamics	dynamic	NOUN
arestyrurj-157	189	15	of	of	ADP
arestyrurj-157	189	16	the	the	DET
arestyrurj-157	189	17	interaction	interaction	NOUN
arestyrurj-157	189	18	is	be	AUX
arestyrurj-157	189	19	independent	independent	ADJ
arestyrurj-157	189	20	of	of	ADP
arestyrurj-157	189	21	that	that	DET
arestyrurj-157	189	22	phase	phase	NOUN
arestyrurj-157	189	23	angle	angle	NOUN
arestyrurj-157	189	24	.	.	PUNCT
arestyrurj-157	190	1	our	our	PRON
arestyrurj-157	190	2	work	work	NOUN
arestyrurj-157	190	3	in	in	ADP
arestyrurj-157	190	4	varying	vary	VERB
arestyrurj-157	190	5	the	the	DET
arestyrurj-157	190	6	momentum	momentum	NOUN
arestyrurj-157	190	7	of	of	ADP
arestyrurj-157	190	8	the	the	DET
arestyrurj-157	190	9	incoming	incoming	ADJ
arestyrurj-157	190	10	photon	photon	NOUN
arestyrurj-157	190	11	shows	show	VERB
arestyrurj-157	190	12	that	that	SCONJ
arestyrurj-157	190	13	shooting	shoot	VERB
arestyrurj-157	190	14	a	a	DET
arestyrurj-157	190	15	higher	high	ADJ
arestyrurj-157	190	16	energy	energy	NOUN
arestyrurj-157	190	17	photon	photon	NOUN
arestyrurj-157	190	18	at	at	ADP
arestyrurj-157	190	19	the	the	DET
arestyrurj-157	190	20	electron	electron	NOUN
arestyrurj-157	190	21	will	will	AUX
arestyrurj-157	190	22	proportionally	proportionally	ADV
arestyrurj-157	190	23	increase	increase	VERB
arestyrurj-157	190	24	the	the	DET
arestyrurj-157	190	25	electron	electron	NOUN
arestyrurj-157	190	26	’s	’s	PART
arestyrurj-157	190	27	post	post	ADJ
arestyrurj-157	190	28	-	-	ADJ
arestyrurj-157	190	29	collision	collision	ADJ
arestyrurj-157	190	30	momentum	momentum	NOUN
arestyrurj-157	190	31	in	in	ADP
arestyrurj-157	190	32	a	a	DET
arestyrurj-157	190	33	manner	manner	NOUN
arestyrurj-157	190	34	consistent	consistent	ADJ
arestyrurj-157	190	35	with	with	ADP
arestyrurj-157	190	36	compton	compton	PROPN
arestyrurj-157	190	37	’s	’s	PART
arestyrurj-157	190	38	formula	formula	NOUN
arestyrurj-157	190	39	.	.	PUNCT
arestyrurj-157	191	1	i.	i.	NOUN
arestyrurj-157	191	2	analysis	analysis	NOUN
arestyrurj-157	191	3	of	of	ADP
arestyrurj-157	191	4	compton	compton	PROPN
arestyrurj-157	191	5	scattering	scattering	NOUN
arestyrurj-157	191	6	results	result	NOUN
arestyrurj-157	191	7	it	it	PRON
arestyrurj-157	191	8	should	should	AUX
arestyrurj-157	191	9	be	be	AUX
arestyrurj-157	191	10	noted	note	VERB
arestyrurj-157	191	11	that	that	SCONJ
arestyrurj-157	191	12	we	we	PRON
arestyrurj-157	191	13	can	can	AUX
arestyrurj-157	191	14	not	not	PART
arestyrurj-157	191	15	expect	expect	VERB
arestyrurj-157	191	16	the	the	DET
arestyrurj-157	191	17	actual	actual	ADJ
arestyrurj-157	191	18	electron	electron	NOUN
arestyrurj-157	191	19	momenta	momenta	NOUN
arestyrurj-157	191	20	to	to	PART
arestyrurj-157	191	21	be	be	AUX
arestyrurj-157	191	22	uniformly	uniformly	ADV
arestyrurj-157	191	23	close	close	ADJ
arestyrurj-157	191	24	to	to	ADP
arestyrurj-157	191	25	the	the	DET
arestyrurj-157	191	26	values	value	NOUN
arestyrurj-157	191	27	predicted	predict	VERB
arestyrurj-157	191	28	by	by	ADP
arestyrurj-157	191	29	equation	equation	NOUN
arestyrurj-157	191	30	2.9	2.9	NUM
arestyrurj-157	191	31	,	,	PUNCT
arestyrurj-157	191	32	since	since	SCONJ
arestyrurj-157	191	33	this	this	DET
arestyrurj-157	191	34	formula	formula	NOUN
arestyrurj-157	191	35	is	be	AUX
arestyrurj-157	191	36	of	of	ADP
arestyrurj-157	191	37	a	a	DET
arestyrurj-157	191	38	classical	classical	ADJ
arestyrurj-157	191	39	nature	nature	NOUN
arestyrurj-157	191	40	(	(	PUNCT
arestyrurj-157	191	41	apart	apart	ADV
arestyrurj-157	191	42	from	from	ADP
arestyrurj-157	191	43	using	use	VERB
arestyrurj-157	191	44	einstein	einstein	PROPN
arestyrurj-157	191	45	’s	’s	PART
arestyrurj-157	191	46	suggested	suggest	VERB
arestyrurj-157	191	47	values	value	NOUN
arestyrurj-157	191	48	for	for	ADP
arestyrurj-157	191	49	the	the	DET
arestyrurj-157	191	50	momentum	momentum	NOUN
arestyrurj-157	191	51	and	and	CCONJ
arestyrurj-157	191	52	energy	energy	NOUN
arestyrurj-157	191	53	of	of	ADP
arestyrurj-157	191	54	the	the	DET
arestyrurj-157	191	55	photon	photon	NOUN
arestyrurj-157	191	56	)	)	PUNCT
arestyrurj-157	191	57	.	.	PUNCT
arestyrurj-157	192	1	it	it	PRON
arestyrurj-157	192	2	has	have	AUX
arestyrurj-157	192	3	been	be	AUX
arestyrurj-157	192	4	derived	derive	VERB
arestyrurj-157	192	5	using	use	VERB
arestyrurj-157	192	6	the	the	DET
arestyrurj-157	192	7	rules	rule	NOUN
arestyrurj-157	192	8	of	of	ADP
arestyrurj-157	192	9	classical	classical	ADJ
arestyrurj-157	192	10	mechanics	mechanic	NOUN
arestyrurj-157	192	11	,	,	PUNCT
arestyrurj-157	192	12	such	such	ADJ
arestyrurj-157	192	13	as	as	ADP
arestyrurj-157	192	14	exact	exact	ADJ
arestyrurj-157	192	15	conservation	conservation	NOUN
arestyrurj-157	192	16	of	of	ADP
arestyrurj-157	192	17	a	a	DET
arestyrurj-157	192	18	welldefined	welldefine	VERB
arestyrurj-157	192	19	energy	energy	NOUN
arestyrurj-157	192	20	and	and	CCONJ
arestyrurj-157	192	21	momentum	momentum	NOUN
arestyrurj-157	192	22	for	for	ADP
arestyrurj-157	192	23	both	both	DET
arestyrurj-157	192	24	particles	particle	NOUN
arestyrurj-157	192	25	.	.	PUNCT
arestyrurj-157	193	1	for	for	ADP
arestyrurj-157	193	2	instance	instance	NOUN
arestyrurj-157	193	3	,	,	PUNCT
arestyrurj-157	193	4	in	in	ADP
arestyrurj-157	193	5	the	the	DET
arestyrurj-157	193	6	example	example	NOUN
arestyrurj-157	193	7	above	above	ADV
arestyrurj-157	193	8	,	,	PUNCT
arestyrurj-157	193	9	the	the	DET
arestyrurj-157	193	10	initial	initial	ADJ
arestyrurj-157	193	11	electron	electron	NOUN
arestyrurj-157	193	12	distribution	distribution	NOUN
arestyrurj-157	193	13	has	have	VERB
arestyrurj-157	193	14	a	a	DET
arestyrurj-157	193	15	standard	standard	ADJ
arestyrurj-157	193	16	deviation	deviation	NOUN
arestyrurj-157	193	17	of	of	ADP
arestyrurj-157	193	18	0.1	0.1	NUM
arestyrurj-157	193	19	;	;	PUNCT
arestyrurj-157	193	20	therefore	therefore	ADV
arestyrurj-157	193	21	,	,	PUNCT
arestyrurj-157	193	22	by	by	ADP
arestyrurj-157	193	23	the	the	DET
arestyrurj-157	193	24	uncertainty	uncertainty	NOUN
arestyrurj-157	193	25	principle	principle	NOUN
arestyrurj-157	193	26	,	,	PUNCT
arestyrurj-157	193	27	the	the	DET
arestyrurj-157	193	28	standard	standard	ADJ
arestyrurj-157	193	29	deviation	deviation	NOUN
arestyrurj-157	193	30	of	of	ADP
arestyrurj-157	193	31	its	its	PRON
arestyrurj-157	193	32	momentum	momentum	NOUN
arestyrurj-157	193	33	distribution	distribution	NOUN
arestyrurj-157	193	34	will	will	AUX
arestyrurj-157	193	35	be	be	AUX
arestyrurj-157	193	36	at	at	ADP
arestyrurj-157	193	37	least	least	ADJ
arestyrurj-157	193	38	5~.	5~.	PROPN
arestyrurj-157	193	39	if	if	SCONJ
arestyrurj-157	193	40	we	we	PRON
arestyrurj-157	193	41	randomize	randomize	VERB
arestyrurj-157	193	42	the	the	DET
arestyrurj-157	193	43	initial	initial	ADJ
arestyrurj-157	193	44	position	position	NOUN
arestyrurj-157	193	45	of	of	ADP
arestyrurj-157	193	46	the	the	DET
arestyrurj-157	193	47	electron	electron	NOUN
arestyrurj-157	193	48	according	accord	VERB
arestyrurj-157	193	49	to	to	ADP
arestyrurj-157	193	50	the	the	DET
arestyrurj-157	193	51	initial	initial	ADJ
arestyrurj-157	193	52	distribution	distribution	NOUN
arestyrurj-157	193	53	,	,	PUNCT
arestyrurj-157	193	54	as	as	SCONJ
arestyrurj-157	193	55	we	we	PRON
arestyrurj-157	193	56	are	be	AUX
arestyrurj-157	193	57	supposed	suppose	VERB
arestyrurj-157	193	58	to	to	PART
arestyrurj-157	193	59	do	do	VERB
arestyrurj-157	193	60	in	in	ADP
arestyrurj-157	193	61	a	a	DET
arestyrurj-157	193	62	quantum	quantum	ADJ
arestyrurj-157	193	63	theory	theory	NOUN
arestyrurj-157	193	64	,	,	PUNCT
arestyrurj-157	193	65	we	we	PRON
arestyrurj-157	193	66	can	can	AUX
arestyrurj-157	193	67	not	not	PART
arestyrurj-157	193	68	expect	expect	VERB
arestyrurj-157	193	69	the	the	DET
arestyrurj-157	193	70	electron	electron	NOUN
arestyrurj-157	193	71	momentum	momentum	NOUN
arestyrurj-157	193	72	at	at	ADP
arestyrurj-157	193	73	any	any	DET
arestyrurj-157	193	74	later	later	ADJ
arestyrurj-157	193	75	time	time	NOUN
arestyrurj-157	193	76	to	to	PART
arestyrurj-157	193	77	be	be	AUX
arestyrurj-157	193	78	close	close	ADJ
arestyrurj-157	193	79	to	to	ADP
arestyrurj-157	193	80	any	any	DET
arestyrurj-157	193	81	one	one	NUM
arestyrurj-157	193	82	particular	particular	ADJ
arestyrurj-157	193	83	value	value	NOUN
arestyrurj-157	193	84	.	.	PUNCT
arestyrurj-157	194	1	it	it	PRON
arestyrurj-157	194	2	is	be	AUX
arestyrurj-157	194	3	only	only	ADV
arestyrurj-157	194	4	expected	expect	VERB
arestyrurj-157	194	5	to	to	PART
arestyrurj-157	194	6	fluctuate	fluctuate	VERB
arestyrurj-157	194	7	around	around	ADV
arestyrurj-157	194	8	some	some	DET
arestyrurj-157	194	9	mean	mean	NOUN
arestyrurj-157	194	10	.	.	PUNCT
arestyrurj-157	195	1	this	this	PRON
arestyrurj-157	195	2	would	would	AUX
arestyrurj-157	195	3	be	be	AUX
arestyrurj-157	195	4	equally	equally	ADV
arestyrurj-157	195	5	true	true	ADJ
arestyrurj-157	195	6	for	for	ADP
arestyrurj-157	195	7	a	a	DET
arestyrurj-157	195	8	non	non	ADJ
arestyrurj-157	195	9	-	-	ADJ
arestyrurj-157	195	10	interacting	interacting	ADJ
arestyrurj-157	195	11	electron	electron	NOUN
arestyrurj-157	195	12	.	.	PUNCT
arestyrurj-157	196	1	it	it	PRON
arestyrurj-157	196	2	is	be	AUX
arestyrurj-157	196	3	a	a	DET
arestyrurj-157	196	4	hallmark	hallmark	NOUN
arestyrurj-157	196	5	of	of	ADP
arestyrurj-157	196	6	the	the	DET
arestyrurj-157	196	7	quantum	quantum	ADJ
arestyrurj-157	196	8	nature	nature	NOUN
arestyrurj-157	196	9	of	of	ADP
arestyrurj-157	196	10	elementary	elementary	ADJ
arestyrurj-157	196	11	particles	particle	NOUN
arestyrurj-157	196	12	.	.	PUNCT
arestyrurj-157	197	1	we	we	PRON
arestyrurj-157	197	2	would	would	AUX
arestyrurj-157	197	3	nevertheless	nevertheless	ADV
arestyrurj-157	197	4	like	like	VERB
arestyrurj-157	197	5	to	to	PART
arestyrurj-157	197	6	be	be	AUX
arestyrurj-157	197	7	able	able	ADJ
arestyrurj-157	197	8	to	to	PART
arestyrurj-157	197	9	derive	derive	VERB
arestyrurj-157	197	10	a	a	DET
arestyrurj-157	197	11	quantum	quantum	NOUN
arestyrurj-157	197	12	-	-	ADJ
arestyrurj-157	197	13	mechanical	mechanical	ADJ
arestyrurj-157	197	14	(	(	PUNCT
arestyrurj-157	197	15	i.e.	i.e.	X
arestyrurj-157	197	16	appropriately	appropriately	ADV
arestyrurj-157	197	17	statistical	statistical	ADJ
arestyrurj-157	197	18	)	)	PUNCT
arestyrurj-157	197	19	version	version	NOUN
arestyrurj-157	197	20	of	of	ADP
arestyrurj-157	197	21	formula	formula	NOUN
arestyrurj-157	197	22	equation	equation	NOUN
arestyrurj-157	197	23	2.9	2.9	NUM
arestyrurj-157	197	24	within	within	ADP
arestyrurj-157	197	25	our	our	PRON
arestyrurj-157	197	26	framework	framework	NOUN
arestyrurj-157	197	27	.	.	PUNCT
arestyrurj-157	198	1	there	there	PRON
arestyrurj-157	198	2	are	be	VERB
arestyrurj-157	198	3	,	,	PUNCT
arestyrurj-157	198	4	however	however	ADV
arestyrurj-157	198	5	,	,	PUNCT
arestyrurj-157	198	6	at	at	ADP
arestyrurj-157	198	7	least	least	ADV
arestyrurj-157	198	8	two	two	NUM
arestyrurj-157	198	9	major	major	ADJ
arestyrurj-157	198	10	obstacles	obstacle	NOUN
arestyrurj-157	198	11	on	on	ADP
arestyrurj-157	198	12	the	the	DET
arestyrurj-157	198	13	way	way	NOUN
arestyrurj-157	198	14	to	to	ADP
arestyrurj-157	198	15	defining	define	VERB
arestyrurj-157	198	16	a	a	DET
arestyrurj-157	198	17	notion	notion	NOUN
arestyrurj-157	198	18	of	of	ADP
arestyrurj-157	198	19	momentum	momentum	NOUN
arestyrurj-157	198	20	for	for	ADP
arestyrurj-157	198	21	a	a	DET
arestyrurj-157	198	22	quantum	quantum	NOUN
arestyrurj-157	198	23	particle	particle	NOUN
arestyrurj-157	198	24	,	,	PUNCT
arestyrurj-157	198	25	particularly	particularly	ADV
arestyrurj-157	198	26	for	for	ADP
arestyrurj-157	198	27	a	a	DET
arestyrurj-157	198	28	photon	photon	NOUN
arestyrurj-157	198	29	.	.	PUNCT
arestyrurj-157	199	1	firstly	firstly	ADV
arestyrurj-157	199	2	,	,	PUNCT
arestyrurj-157	199	3	our	our	PRON
arestyrurj-157	199	4	theory	theory	NOUN
arestyrurj-157	199	5	does	do	AUX
arestyrurj-157	199	6	not	not	PART
arestyrurj-157	199	7	admit	admit	VERB
arestyrurj-157	199	8	plane	plane	NOUN
arestyrurj-157	199	9	waves	wave	NOUN
arestyrurj-157	199	10	since	since	SCONJ
arestyrurj-157	199	11	these	these	PRON
arestyrurj-157	199	12	are	be	AUX
arestyrurj-157	199	13	not	not	PART
arestyrurj-157	199	14	square	square	ADJ
arestyrurj-157	199	15	-	-	PUNCT
arestyrurj-157	199	16	integrable	integrable	ADJ
arestyrurj-157	199	17	,	,	PUNCT
arestyrurj-157	199	18	and	and	CCONJ
arestyrurj-157	199	19	therefore	therefore	ADV
arestyrurj-157	199	20	do	do	AUX
arestyrurj-157	199	21	not	not	PART
arestyrurj-157	199	22	belong	belong	VERB
arestyrurj-157	199	23	to	to	ADP
arestyrurj-157	199	24	our	our	PRON
arestyrurj-157	199	25	hilbert	hilbert	NOUN
arestyrurj-157	199	26	space	space	NOUN
arestyrurj-157	199	27	.	.	PUNCT
arestyrurj-157	200	1	instead	instead	ADV
arestyrurj-157	200	2	,	,	PUNCT
arestyrurj-157	200	3	we	we	PRON
arestyrurj-157	200	4	work	work	VERB
arestyrurj-157	200	5	with	with	ADP
arestyrurj-157	200	6	gaussian	gaussian	ADJ
arestyrurj-157	200	7	wave	wave	NOUN
arestyrurj-157	200	8	packets	packet	NOUN
arestyrurj-157	200	9	.	.	PUNCT
arestyrurj-157	201	1	secondly	secondly	ADV
arestyrurj-157	201	2	,	,	PUNCT
arestyrurj-157	201	3	after	after	ADP
arestyrurj-157	201	4	interaction	interaction	NOUN
arestyrurj-157	201	5	,	,	PUNCT
arestyrurj-157	201	6	the	the	DET
arestyrurj-157	201	7	system	system	NOUN
arestyrurj-157	201	8	is	be	AUX
arestyrurj-157	201	9	entangled	entangle	VERB
arestyrurj-157	201	10	.	.	PUNCT
arestyrurj-157	202	1	we	we	PRON
arestyrurj-157	202	2	may	may	AUX
arestyrurj-157	202	3	start	start	VERB
arestyrurj-157	202	4	with	with	ADP
arestyrurj-157	202	5	a	a	DET
arestyrurj-157	202	6	wave	wave	NOUN
arestyrurj-157	202	7	function	function	NOUN
arestyrurj-157	202	8	that	that	PRON
arestyrurj-157	202	9	is	be	AUX
arestyrurj-157	202	10	a	a	DET
arestyrurj-157	202	11	pure	pure	ADJ
arestyrurj-157	202	12	product	product	NOUN
arestyrurj-157	202	13	,	,	PUNCT
arestyrurj-157	202	14	but	but	CCONJ
arestyrurj-157	202	15	we	we	PRON
arestyrurj-157	202	16	no	no	ADV
arestyrurj-157	202	17	longer	long	ADV
arestyrurj-157	202	18	have	have	VERB
arestyrurj-157	202	19	a	a	DET
arestyrurj-157	202	20	pure	pure	ADJ
arestyrurj-157	202	21	product	product	NOUN
arestyrurj-157	202	22	after	after	ADP
arestyrurj-157	202	23	the	the	DET
arestyrurj-157	202	24	photon	photon	NOUN
arestyrurj-157	202	25	and	and	CCONJ
arestyrurj-157	202	26	electron	electron	NOUN
arestyrurj-157	202	27	interact	interact	NOUN
arestyrurj-157	202	28	.	.	PUNCT
arestyrurj-157	203	1	thus	thus	ADV
arestyrurj-157	203	2	,	,	PUNCT
arestyrurj-157	203	3	even	even	ADV
arestyrurj-157	203	4	if	if	SCONJ
arestyrurj-157	203	5	we	we	PRON
arestyrurj-157	203	6	could	could	AUX
arestyrurj-157	203	7	start	start	VERB
arestyrurj-157	203	8	with	with	ADP
arestyrurj-157	203	9	plane	plane	NOUN
arestyrurj-157	203	10	waves	wave	NOUN
arestyrurj-157	203	11	going	go	VERB
arestyrurj-157	203	12	in	in	ADV
arestyrurj-157	203	13	,	,	PUNCT
arestyrurj-157	203	14	we	we	PRON
arestyrurj-157	203	15	would	would	AUX
arestyrurj-157	203	16	not	not	PART
arestyrurj-157	203	17	have	have	VERB
arestyrurj-157	203	18	plane	plane	NOUN
arestyrurj-157	203	19	waves	wave	NOUN
arestyrurj-157	203	20	coming	come	VERB
arestyrurj-157	203	21	out	out	ADP
arestyrurj-157	203	22	,	,	PUNCT
arestyrurj-157	203	23	which	which	PRON
arestyrurj-157	203	24	violates	violate	VERB
arestyrurj-157	203	25	the	the	DET
arestyrurj-157	203	26	underlying	underlying	ADJ
arestyrurj-157	203	27	assumption	assumption	NOUN
arestyrurj-157	203	28	used	use	VERB
arestyrurj-157	203	29	to	to	PART
arestyrurj-157	203	30	derive	derive	VERB
arestyrurj-157	203	31	equation	equation	NOUN
arestyrurj-157	203	32	2.9	2.9	NUM
arestyrurj-157	203	33	.	.	PUNCT
arestyrurj-157	204	1	developing	develop	VERB
arestyrurj-157	204	2	a	a	DET
arestyrurj-157	204	3	workable	workable	ADJ
arestyrurj-157	204	4	notion	notion	NOUN
arestyrurj-157	204	5	of	of	ADP
arestyrurj-157	204	6	momentum	momentum	NOUN
arestyrurj-157	204	7	for	for	ADP
arestyrurj-157	204	8	the	the	DET
arestyrurj-157	204	9	particles	particle	NOUN
arestyrurj-157	204	10	in	in	ADP
arestyrurj-157	204	11	our	our	PRON
arestyrurj-157	204	12	system	system	NOUN
arestyrurj-157	204	13	will	will	AUX
arestyrurj-157	204	14	be	be	AUX
arestyrurj-157	204	15	part	part	NOUN
arestyrurj-157	204	16	of	of	ADP
arestyrurj-157	204	17	our	our	PRON
arestyrurj-157	204	18	future	future	ADJ
arestyrurj-157	204	19	work	work	NOUN
arestyrurj-157	204	20	.	.	PUNCT
arestyrurj-157	205	1	ii	ii	PROPN
arestyrurj-157	205	2	.	.	PUNCT
arestyrurj-157	206	1	future	future	ADJ
arestyrurj-157	206	2	research	research	NOUN
arestyrurj-157	206	3	we	we	PRON
arestyrurj-157	206	4	plan	plan	VERB
arestyrurj-157	206	5	to	to	PART
arestyrurj-157	206	6	investigate	investigate	VERB
arestyrurj-157	206	7	ways	way	NOUN
arestyrurj-157	206	8	of	of	ADP
arestyrurj-157	206	9	defining	define	VERB
arestyrurj-157	206	10	a	a	DET
arestyrurj-157	206	11	notion	notion	NOUN
arestyrurj-157	206	12	of	of	ADP
arestyrurj-157	206	13	momentum	momentum	NOUN
arestyrurj-157	206	14	in	in	ADP
arestyrurj-157	206	15	our	our	PRON
arestyrurj-157	206	16	framework	framework	NOUN
arestyrurj-157	206	17	:	:	PUNCT
arestyrurj-157	206	18	one	one	NOUN
arestyrurj-157	206	19	that	that	PRON
arestyrurj-157	206	20	would	would	AUX
arestyrurj-157	206	21	allow	allow	VERB
arestyrurj-157	206	22	us	we	PRON
arestyrurj-157	206	23	to	to	PART
arestyrurj-157	206	24	derive	derive	VERB
arestyrurj-157	206	25	the	the	DET
arestyrurj-157	206	26	one	one	NUM
arestyrurj-157	206	27	-	-	PUNCT
arestyrurj-157	206	28	dimensional	dimensional	ADJ
arestyrurj-157	206	29	analog	analog	NOUN
arestyrurj-157	206	30	of	of	ADP
arestyrurj-157	206	31	the	the	DET
arestyrurj-157	206	32	compton	compton	PROPN
arestyrurj-157	206	33	scattering	scatter	VERB
arestyrurj-157	206	34	formula	formula	NOUN
arestyrurj-157	206	35	in	in	ADP
arestyrurj-157	206	36	some	some	DET
arestyrurj-157	206	37	appropriate	appropriate	ADJ
arestyrurj-157	206	38	classical	classical	ADJ
arestyrurj-157	206	39	or	or	CCONJ
arestyrurj-157	206	40	semi	semi	ADJ
arestyrurj-157	206	41	-	-	ADJ
arestyrurj-157	206	42	classical	classical	ADJ
arestyrurj-157	206	43	limit	limit	NOUN
arestyrurj-157	206	44	.	.	PUNCT
arestyrurj-157	207	1	defining	define	VERB
arestyrurj-157	207	2	momentum	momentum	NOUN
arestyrurj-157	207	3	is	be	AUX
arestyrurj-157	207	4	easy	easy	ADJ
arestyrurj-157	207	5	for	for	ADP
arestyrurj-157	207	6	a	a	DET
arestyrurj-157	207	7	single	single	ADJ
arestyrurj-157	207	8	particle	particle	NOUN
arestyrurj-157	207	9	using	use	VERB
arestyrurj-157	207	10	fourier	fourier	NOUN
arestyrurj-157	207	11	transform	transform	NOUN
arestyrurj-157	207	12	.	.	PUNCT
arestyrurj-157	208	1	there	there	PRON
arestyrurj-157	208	2	are	be	VERB
arestyrurj-157	208	3	,	,	PUNCT
arestyrurj-157	208	4	however	however	ADV
arestyrurj-157	208	5	,	,	PUNCT
arestyrurj-157	208	6	many	many	ADJ
arestyrurj-157	208	7	difficulties	difficulty	NOUN
arestyrurj-157	208	8	in	in	ADP
arestyrurj-157	208	9	isolating	isolate	VERB
arestyrurj-157	208	10	photonic	photonic	ADJ
arestyrurj-157	208	11	and	and	CCONJ
arestyrurj-157	208	12	electronic	electronic	ADJ
arestyrurj-157	208	13	properties	property	NOUN
arestyrurj-157	208	14	from	from	ADP
arestyrurj-157	208	15	the	the	DET
arestyrurj-157	208	16	twobody	twobody	NOUN
arestyrurj-157	208	17	wave	wave	NOUN
arestyrurj-157	208	18	function	function	NOUN
arestyrurj-157	208	19	of	of	ADP
arestyrurj-157	208	20	the	the	DET
arestyrurj-157	208	21	system	system	NOUN
arestyrurj-157	208	22	.	.	PUNCT
arestyrurj-157	209	1	a	a	DET
arestyrurj-157	209	2	potential	potential	ADJ
arestyrurj-157	209	3	way	way	NOUN
arestyrurj-157	209	4	to	to	PART
arestyrurj-157	209	5	address	address	VERB
arestyrurj-157	209	6	this	this	PRON
arestyrurj-157	209	7	might	might	AUX
arestyrurj-157	209	8	be	be	AUX
arestyrurj-157	209	9	to	to	PART
arestyrurj-157	209	10	use	use	VERB
arestyrurj-157	209	11	techniques	technique	NOUN
arestyrurj-157	209	12	from	from	ADP
arestyrurj-157	209	13	linear	linear	ADJ
arestyrurj-157	209	14	algebra	algebra	NOUN
arestyrurj-157	209	15	to	to	PART
arestyrurj-157	209	16	decide	decide	VERB
arestyrurj-157	209	17	whether	whether	SCONJ
arestyrurj-157	209	18	the	the	DET
arestyrurj-157	209	19	wave	wave	NOUN
arestyrurj-157	209	20	function	function	NOUN
arestyrurj-157	209	21	of	of	ADP
arestyrurj-157	209	22	the	the	DET
arestyrurj-157	209	23	system	system	NOUN
arestyrurj-157	209	24	becomes	become	VERB
arestyrurj-157	209	25	locally	locally	ADV
arestyrurj-157	209	26	approximately	approximately	ADV
arestyrurj-157	209	27	a	a	DET
arestyrurj-157	209	28	pure	pure	ADJ
arestyrurj-157	209	29	product	product	NOUN
arestyrurj-157	209	30	far	far	ADV
arestyrurj-157	209	31	away	away	ADV
arestyrurj-157	209	32	from	from	ADP
arestyrurj-157	209	33	the	the	DET
arestyrurj-157	209	34	interaction	interaction	NOUN
arestyrurj-157	209	35	zone	zone	NOUN
arestyrurj-157	209	36	.	.	PUNCT
arestyrurj-157	210	1	naturally	naturally	ADV
arestyrurj-157	210	2	,	,	PUNCT
arestyrurj-157	210	3	we	we	PRON
arestyrurj-157	210	4	also	also	ADV
arestyrurj-157	210	5	plan	plan	VERB
arestyrurj-157	210	6	to	to	PART
arestyrurj-157	210	7	expand	expand	VERB
arestyrurj-157	210	8	our	our	PRON
arestyrurj-157	210	9	analysis	analysis	NOUN
arestyrurj-157	210	10	to	to	ADP
arestyrurj-157	210	11	three	three	NUM
arestyrurj-157	210	12	space	space	NOUN
arestyrurj-157	210	13	dimensions	dimension	NOUN
arestyrurj-157	210	14	.	.	PUNCT
arestyrurj-157	211	1	we	we	PRON
arestyrurj-157	211	2	hope	hope	VERB
arestyrurj-157	211	3	to	to	PART
arestyrurj-157	211	4	eventually	eventually	ADV
arestyrurj-157	211	5	arrive	arrive	VERB
arestyrurj-157	211	6	at	at	ADP
arestyrurj-157	211	7	an	an	DET
arestyrurj-157	211	8	n	n	PRON
arestyrurj-157	211	9	-	-	PUNCT
arestyrurj-157	211	10	body	body	NOUN
arestyrurj-157	211	11	,	,	PUNCT
arestyrurj-157	211	12	relativistic	relativistic	ADJ
arestyrurj-157	211	13	,	,	PUNCT
arestyrurj-157	211	14	and	and	CCONJ
arestyrurj-157	211	15	quantum	quantum	ADJ
arestyrurj-157	211	16	mechanical	mechanical	ADJ
arestyrurj-157	211	17	system	system	NOUN
arestyrurj-157	211	18	in	in	ADP
arestyrurj-157	211	19	three	three	NUM
arestyrurj-157	211	20	space	space	NOUN
arestyrurj-157	211	21	dimensions	dimension	NOUN
arestyrurj-157	211	22	from	from	ADP
arestyrurj-157	211	23	which	which	PRON
arestyrurj-157	211	24	maxwell	maxwell	PROPN
arestyrurj-157	211	25	’s	’s	PART
arestyrurj-157	211	26	equations	equation	NOUN
arestyrurj-157	211	27	can	can	AUX
arestyrurj-157	211	28	be	be	AUX
arestyrurj-157	211	29	derived	derive	VERB
arestyrurj-157	211	30	in	in	ADP
arestyrurj-157	211	31	the	the	DET
arestyrurj-157	211	32	limit	limit	NOUN
arestyrurj-157	211	33	as	as	SCONJ
arestyrurj-157	211	34	the	the	DET
arestyrurj-157	211	35	number	number	NOUN
arestyrurj-157	211	36	of	of	ADP
arestyrurj-157	211	37	photons	photon	NOUN
arestyrurj-157	211	38	goes	go	VERB
arestyrurj-157	211	39	to	to	ADP
arestyrurj-157	211	40	infinity∎	infinity∎	NUM
arestyrurj-157	211	41	5	5	NUM
arestyrurj-157	211	42	acknowledgements	acknowledgement	NOUN
arestyrurj-157	211	43	we	we	PRON
arestyrurj-157	211	44	would	would	AUX
arestyrurj-157	211	45	like	like	VERB
arestyrurj-157	211	46	to	to	PART
arestyrurj-157	211	47	thank	thank	VERB
arestyrurj-157	211	48	the	the	DET
arestyrurj-157	211	49	rutgers	rutgers	PROPN
arestyrurj-157	211	50	university	university	PROPN
arestyrurj-157	211	51	dimacs	dimac	VERB
arestyrurj-157	211	52	reu	reu	PROPN
arestyrurj-157	211	53	program	program	PROPN
arestyrurj-157	211	54	and	and	CCONJ
arestyrurj-157	211	55	the	the	DET
arestyrurj-157	211	56	rutgers	rutgers	PROPN
arestyrurj-157	211	57	university	university	PROPN
arestyrurj-157	211	58	math	math	PROPN
arestyrurj-157	211	59	department	department	PROPN
arestyrurj-157	211	60	for	for	ADP
arestyrurj-157	211	61	their	their	PRON
arestyrurj-157	211	62	generous	generous	ADJ
arestyrurj-157	211	63	support	support	NOUN
arestyrurj-157	211	64	.	.	PUNCT
arestyrurj-157	212	1	we	we	PRON
arestyrurj-157	212	2	are	be	AUX
arestyrurj-157	212	3	grateful	grateful	ADJ
arestyrurj-157	212	4	to	to	ADP
arestyrurj-157	212	5	dr	dr	PROPN
arestyrurj-157	212	6	.	.	PROPN
arestyrurj-157	212	7	shadi	shadi	PROPN
arestyrurj-157	212	8	tahvildar	tahvildar	PROPN
arestyrurj-157	212	9	-	-	PUNCT
arestyrurj-157	212	10	zadeh	zadeh	PROPN
arestyrurj-157	212	11	for	for	ADP
arestyrurj-157	212	12	his	his	PRON
arestyrurj-157	212	13	patient	patient	ADJ
arestyrurj-157	212	14	guidance	guidance	NOUN
arestyrurj-157	212	15	,	,	PUNCT
arestyrurj-157	212	16	and	and	CCONJ
arestyrurj-157	212	17	parker	parker	PROPN
arestyrurj-157	212	18	hund	hund	PROPN
arestyrurj-157	212	19	for	for	ADP
arestyrurj-157	212	20	our	our	PRON
arestyrurj-157	212	21	valuable	valuable	ADJ
arestyrurj-157	212	22	discussions	discussion	NOUN
arestyrurj-157	212	23	.	.	PUNCT
arestyrurj-157	213	1	we	we	PRON
arestyrurj-157	213	2	thank	thank	VERB
arestyrurj-157	213	3	erika	erika	PROPN
arestyrurj-157	213	4	melder	melder	PROPN
arestyrurj-157	213	5	for	for	ADP
arestyrurj-157	213	6	her	her	PRON
arestyrurj-157	213	7	technical	technical	ADJ
arestyrurj-157	213	8	support	support	NOUN
arestyrurj-157	213	9	.	.	PUNCT
arestyrurj-157	214	1	aresty	aresty	ADJ
arestyrurj-157	214	2	rutgers	rutgers	PROPN
arestyrurj-157	214	3	undergraduate	undergraduate	PROPN
arestyrurj-157	214	4	research	research	PROPN
arestyrurj-157	214	5	journal	journal	PROPN
arestyrurj-157	214	6	,	,	PUNCT
arestyrurj-157	214	7	volume	volume	NOUN
arestyrurj-157	214	8	i	i	PRON
arestyrurj-157	214	9	,	,	PUNCT
arestyrurj-157	214	10	issue	issue	VERB
arestyrurj-157	214	11	ii	ii	PROPN
arestyrurj-157	214	12	6	6	NUM
arestyrurj-157	214	13	references	reference	NOUN
arestyrurj-157	214	14	[	[	X
arestyrurj-157	214	15	1	1	NUM
arestyrurj-157	214	16	]	]	PUNCT
arestyrurj-157	214	17	bialynicki	bialynicki	NOUN
arestyrurj-157	214	18	-	-	PUNCT
arestyrurj-157	214	19	birula	birula	NOUN
arestyrurj-157	214	20	,	,	PUNCT
arestyrurj-157	214	21	i.	i.	NOUN
arestyrurj-157	214	22	(	(	PUNCT
arestyrurj-157	214	23	1996	1996	NUM
arestyrurj-157	214	24	)	)	PUNCT
arestyrurj-157	214	25	.	.	PUNCT
arestyrurj-157	215	1	the	the	DET
arestyrurj-157	215	2	photon	photon	NOUN
arestyrurj-157	215	3	wave	wave	NOUN
arestyrurj-157	215	4	function	function	NOUN
arestyrurj-157	215	5	.	.	PUNCT
arestyrurj-157	216	1	in	in	ADP
arestyrurj-157	216	2	coherence	coherence	NOUN
arestyrurj-157	216	3	and	and	CCONJ
arestyrurj-157	216	4	quantum	quantum	NOUN
arestyrurj-157	216	5	optics	optic	NOUN
arestyrurj-157	216	6	,	,	PUNCT
arestyrurj-157	216	7	vii	vii	PROPN
arestyrurj-157	216	8	,	,	PUNCT
arestyrurj-157	216	9	313	313	NUM
arestyrurj-157	216	10	-	-	SYM
arestyrurj-157	216	11	322	322	NUM
arestyrurj-157	216	12	.	.	PUNCT
arestyrurj-157	217	1	[	[	X
arestyrurj-157	217	2	2	2	NUM
arestyrurj-157	217	3	]	]	PUNCT
arestyrurj-157	217	4	bohm	bohm	PROPN
arestyrurj-157	217	5	,	,	PUNCT
arestyrurj-157	217	6	d.	d.	PROPN
arestyrurj-157	217	7	(	(	PUNCT
arestyrurj-157	217	8	1952	1952	NUM
arestyrurj-157	217	9	)	)	PUNCT
arestyrurj-157	217	10	.	.	PUNCT
arestyrurj-157	218	1	a	a	DET
arestyrurj-157	218	2	suggested	suggest	VERB
arestyrurj-157	218	3	interpretation	interpretation	NOUN
arestyrurj-157	218	4	of	of	ADP
arestyrurj-157	218	5	the	the	DET
arestyrurj-157	218	6	quantum	quantum	NOUN
arestyrurj-157	218	7	theory	theory	NOUN
arestyrurj-157	218	8	in	in	ADP
arestyrurj-157	218	9	terms	term	NOUN
arestyrurj-157	218	10	of	of	ADP
arestyrurj-157	218	11	hidden	hidden	ADJ
arestyrurj-157	218	12	variables	variable	NOUN
arestyrurj-157	218	13	.	.	PUNCT
arestyrurj-157	219	1	part	part	NOUN
arestyrurj-157	219	2	i.	i.	PROPN
arestyrurj-157	219	3	phys	phys	PROPN
arestyrurj-157	219	4	.	.	PUNCT
arestyrurj-157	220	1	rev	rev	PROPN
arestyrurj-157	220	2	.	.	PROPN
arestyrurj-157	220	3	,	,	PUNCT
arestyrurj-157	220	4	85	85	NUM
arestyrurj-157	220	5	,	,	PUNCT
arestyrurj-157	220	6	166	166	NUM
arestyrurj-157	220	7	-	-	SYM
arestyrurj-157	220	8	179	179	NUM
arestyrurj-157	220	9	.	.	PUNCT
arestyrurj-157	221	1	[	[	X
arestyrurj-157	221	2	3	3	NUM
arestyrurj-157	221	3	]	]	X
arestyrurj-157	221	4	compton	compton	PROPN
arestyrurj-157	221	5	,	,	PUNCT
arestyrurj-157	221	6	a.	a.	NOUN
arestyrurj-157	221	7	(	(	PUNCT
arestyrurj-157	221	8	1923	1923	NUM
arestyrurj-157	221	9	)	)	PUNCT
arestyrurj-157	221	10	.	.	PUNCT
arestyrurj-157	222	1	a	a	DET
arestyrurj-157	222	2	quantum	quantum	ADJ
arestyrurj-157	222	3	theory	theory	NOUN
arestyrurj-157	222	4	of	of	ADP
arestyrurj-157	222	5	the	the	DET
arestyrurj-157	222	6	scattering	scattering	NOUN
arestyrurj-157	222	7	of	of	ADP
arestyrurj-157	222	8	x	x	NOUN
arestyrurj-157	222	9	-	-	NOUN
arestyrurj-157	222	10	rays	ray	NOUN
arestyrurj-157	222	11	by	by	ADP
arestyrurj-157	222	12	light	light	ADJ
arestyrurj-157	222	13	elements	element	NOUN
arestyrurj-157	222	14	.	.	PUNCT
arestyrurj-157	223	1	physical	physical	ADJ
arestyrurj-157	223	2	review	review	NOUN
arestyrurj-157	223	3	,	,	PUNCT
arestyrurj-157	223	4	21	21	NUM
arestyrurj-157	223	5	(	(	PUNCT
arestyrurj-157	223	6	5	5	NUM
arestyrurj-157	223	7	)	)	PUNCT
arestyrurj-157	223	8	,	,	PUNCT
arestyrurj-157	223	9	483	483	NUM
arestyrurj-157	223	10	.	.	PUNCT
arestyrurj-157	224	1	[	[	X
arestyrurj-157	224	2	4	4	NUM
arestyrurj-157	224	3	]	]	X
arestyrurj-157	224	4	de	de	X
arestyrurj-157	224	5	broglie	broglie	PROPN
arestyrurj-157	224	6	,	,	PUNCT
arestyrurj-157	224	7	l.	l.	PROPN
arestyrurj-157	224	8	(	(	PUNCT
arestyrurj-157	224	9	1928	1928	NUM
arestyrurj-157	224	10	)	)	PUNCT
arestyrurj-157	224	11	.	.	PUNCT
arestyrurj-157	225	1	la	la	PROPN
arestyrurj-157	225	2	nouvelle	nouvelle	PROPN
arestyrurj-157	225	3	dynamique	dynamique	PROPN
arestyrurj-157	225	4	des	des	PROPN
arestyrurj-157	225	5	quanta	quanta	PROPN
arestyrurj-157	225	6	.	.	PUNCT
arestyrurj-157	226	1	in	in	ADP
arestyrurj-157	226	2	j.	j.	PROPN
arestyrurj-157	226	3	bordet	bordet	PROPN
arestyrurj-157	226	4	(	(	PUNCT
arestyrurj-157	226	5	ed	ed	NOUN
arestyrurj-157	226	6	.	.	PUNCT
arestyrurj-157	226	7	)	)	PUNCT
arestyrurj-157	226	8	,	,	PUNCT
arestyrurj-157	226	9	cinquième	cinquième	PROPN
arestyrurj-157	226	10	conseil	conseil	PROPN
arestyrurj-157	226	11	de	de	PROPN
arestyrurj-157	226	12	physique	physique	PROPN
arestyrurj-157	226	13	solvay	solvay	PROPN
arestyrurj-157	226	14	.	.	PUNCT
arestyrurj-157	227	1	gauthier	gauthier	NOUN
arestyrurj-157	227	2	-	-	PUNCT
arestyrurj-157	227	3	villars	villars	PROPN
arestyrurj-157	227	4	,	,	PUNCT
arestyrurj-157	227	5	paris	paris	PROPN
arestyrurj-157	227	6	.	.	PUNCT
arestyrurj-157	228	1	[	[	X
arestyrurj-157	228	2	5	5	NUM
arestyrurj-157	228	3	]	]	PUNCT
arestyrurj-157	228	4	dirac	dirac	NOUN
arestyrurj-157	228	5	,	,	PUNCT
arestyrurj-157	228	6	p.	p.	NOUN
arestyrurj-157	228	7	(	(	PUNCT
arestyrurj-157	228	8	1927	1927	NUM
arestyrurj-157	228	9	)	)	PUNCT
arestyrurj-157	228	10	.	.	PUNCT
arestyrurj-157	229	1	the	the	DET
arestyrurj-157	229	2	quantum	quantum	PROPN
arestyrurj-157	229	3	theory	theory	NOUN
arestyrurj-157	229	4	of	of	ADP
arestyrurj-157	229	5	the	the	DET
arestyrurj-157	229	6	emission	emission	NOUN
arestyrurj-157	229	7	and	and	CCONJ
arestyrurj-157	229	8	absorption	absorption	NOUN
arestyrurj-157	229	9	of	of	ADP
arestyrurj-157	229	10	radiation	radiation	NOUN
arestyrurj-157	229	11	.	.	PUNCT
arestyrurj-157	230	1	proc	proc	PROPN
arestyrurj-157	230	2	.	.	PUNCT
arestyrurj-157	231	1	roy	roy	PROPN
arestyrurj-157	231	2	.	.	PROPN
arestyrurj-157	231	3	soc	soc	PROPN
arestyrurj-157	231	4	.	.	PUNCT
arestyrurj-157	232	1	lond	lond	PROPN
arestyrurj-157	232	2	.	.	PUNCT
arestyrurj-157	232	3	,	,	PUNCT
arestyrurj-157	232	4	14(767	14(767	NOUN
arestyrurj-157	232	5	)	)	PUNCT
arestyrurj-157	232	6	,	,	PUNCT
arestyrurj-157	232	7	243265	243265	NUM
arestyrurj-157	232	8	.	.	PUNCT
arestyrurj-157	233	1	[	[	X
arestyrurj-157	233	2	6	6	NUM
arestyrurj-157	233	3	]	]	PUNCT
arestyrurj-157	233	4	dirac	dirac	NOUN
arestyrurj-157	233	5	,	,	PUNCT
arestyrurj-157	233	6	p.	p.	NOUN
arestyrurj-157	233	7	(	(	PUNCT
arestyrurj-157	233	8	1928	1928	NUM
arestyrurj-157	233	9	)	)	PUNCT
arestyrurj-157	233	10	.	.	PUNCT
arestyrurj-157	234	1	the	the	DET
arestyrurj-157	234	2	quantum	quantum	PROPN
arestyrurj-157	234	3	theory	theory	NOUN
arestyrurj-157	234	4	of	of	ADP
arestyrurj-157	234	5	the	the	DET
arestyrurj-157	234	6	electron	electron	NOUN
arestyrurj-157	234	7	.	.	PUNCT
arestyrurj-157	235	1	proc	proc	PROPN
arestyrurj-157	235	2	.	.	PUNCT
arestyrurj-157	236	1	roy	roy	PROPN
arestyrurj-157	236	2	.	.	PROPN
arestyrurj-157	236	3	soc	soc	PROPN
arestyrurj-157	236	4	.	.	PUNCT
arestyrurj-157	237	1	lond	lond	PROPN
arestyrurj-157	237	2	.	.	PUNCT
arestyrurj-157	237	3	,	,	PUNCT
arestyrurj-157	237	4	a	a	DET
arestyrurj-157	237	5	117	117	NUM
arestyrurj-157	237	6	,	,	PUNCT
arestyrurj-157	237	7	610624	610624	NUM
arestyrurj-157	237	8	.	.	PUNCT
arestyrurj-157	238	1	[	[	X
arestyrurj-157	238	2	7	7	NUM
arestyrurj-157	238	3	]	]	X
arestyrurj-157	238	4	dirac	dirac	NOUN
arestyrurj-157	238	5	,	,	PUNCT
arestyrurj-157	238	6	p.	p.	NOUN
arestyrurj-157	238	7	(	(	PUNCT
arestyrurj-157	238	8	1932	1932	NUM
arestyrurj-157	238	9	)	)	PUNCT
arestyrurj-157	238	10	.	.	PUNCT
arestyrurj-157	239	1	relativistic	relativistic	ADJ
arestyrurj-157	239	2	quantum	quantum	ADJ
arestyrurj-157	239	3	mechanics	mechanic	NOUN
arestyrurj-157	239	4	.	.	PUNCT
arestyrurj-157	240	1	proc	proc	PROPN
arestyrurj-157	240	2	.	.	PUNCT
arestyrurj-157	241	1	roy	roy	PROPN
arestyrurj-157	241	2	.	.	PROPN
arestyrurj-157	241	3	soc	soc	PROPN
arestyrurj-157	241	4	.	.	PUNCT
arestyrurj-157	242	1	lond	lond	PROPN
arestyrurj-157	242	2	.	.	PUNCT
arestyrurj-157	242	3	,	,	PUNCT
arestyrurj-157	242	4	136(829	136(829	NUM
arestyrurj-157	242	5	)	)	PUNCT
arestyrurj-157	242	6	,	,	PUNCT
arestyrurj-157	242	7	453	453	NUM
arestyrurj-157	242	8	-	-	SYM
arestyrurj-157	242	9	464	464	NUM
arestyrurj-157	242	10	.	.	PUNCT
arestyrurj-157	243	1	[	[	X
arestyrurj-157	243	2	8	8	NUM
arestyrurj-157	243	3	]	]	PUNCT
arestyrurj-157	243	4	dürr	dürr	NOUN
arestyrurj-157	243	5	,	,	PUNCT
arestyrurj-157	243	6	d.	d.	PROPN
arestyrurj-157	243	7	,	,	PUNCT
arestyrurj-157	243	8	goldstein	goldstein	PROPN
arestyrurj-157	243	9	,	,	PUNCT
arestyrurj-157	243	10	s.	s.	PROPN
arestyrurj-157	243	11	,	,	PUNCT
arestyrurj-157	243	12	munch	munch	PROPN
arestyrurj-157	243	13	-	-	PUNCT
arestyrurj-157	243	14	berndl	berndl	PROPN
arestyrurj-157	243	15	,	,	PUNCT
arestyrurj-157	243	16	k.	k.	PROPN
arestyrurj-157	243	17	,	,	PUNCT
arestyrurj-157	243	18	&	&	CCONJ
arestyrurj-157	243	19	zanghí	zanghí	PROPN
arestyrurj-157	243	20	,	,	PUNCT
arestyrurj-157	243	21	n.	n.	PROPN
arestyrurj-157	243	22	(	(	PUNCT
arestyrurj-157	243	23	1999	1999	NUM
arestyrurj-157	243	24	)	)	PUNCT
arestyrurj-157	243	25	.	.	PUNCT
arestyrurj-157	244	1	hypersurface	hypersurface	PROPN
arestyrurj-157	244	2	bohm	bohm	PROPN
arestyrurj-157	244	3	–	–	PUNCT
arestyrurj-157	244	4	dirac	dirac	NOUN
arestyrurj-157	244	5	models	model	NOUN
arestyrurj-157	244	6	.	.	PUNCT
arestyrurj-157	245	1	phys	phy	NOUN
arestyrurj-157	245	2	.	.	PUNCT
arestyrurj-157	246	1	rev	rev	PROPN
arestyrurj-157	246	2	.	.	PROPN
arestyrurj-157	247	1	a	a	PRON
arestyrurj-157	247	2	,	,	PUNCT
arestyrurj-157	247	3	60	60	NUM
arestyrurj-157	247	4	,	,	PUNCT
arestyrurj-157	247	5	2729–2736	2729–2736	NUM
arestyrurj-157	247	6	.	.	PUNCT
arestyrurj-157	248	1	[	[	X
arestyrurj-157	248	2	9	9	NUM
arestyrurj-157	248	3	]	]	PUNCT
arestyrurj-157	248	4	dürr	dürr	NOUN
arestyrurj-157	248	5	,	,	PUNCT
arestyrurj-157	248	6	d.	d.	PROPN
arestyrurj-157	248	7	,	,	PUNCT
arestyrurj-157	248	8	goldstein	goldstein	PROPN
arestyrurj-157	248	9	,	,	PUNCT
arestyrurj-157	248	10	s.	s.	PROPN
arestyrurj-157	248	11	,	,	PUNCT
arestyrurj-157	248	12	&	&	CCONJ
arestyrurj-157	248	13	zanghí	zanghí	PROPN
arestyrurj-157	248	14	,	,	PUNCT
arestyrurj-157	248	15	n.	n.	PROPN
arestyrurj-157	248	16	(	(	PUNCT
arestyrurj-157	248	17	2013	2013	NUM
arestyrurj-157	248	18	)	)	PUNCT
arestyrurj-157	248	19	.	.	PUNCT
arestyrurj-157	249	1	quantum	quantum	PROPN
arestyrurj-157	249	2	physics	physics	NOUN
arestyrurj-157	249	3	without	without	ADP
arestyrurj-157	249	4	quantum	quantum	NOUN
arestyrurj-157	249	5	philosophy	philosophy	NOUN
arestyrurj-157	249	6	.	.	PUNCT
arestyrurj-157	250	1	new	new	PROPN
arestyrurj-157	250	2	york	york	PROPN
arestyrurj-157	250	3	:	:	PUNCT
arestyrurj-157	250	4	springer	springer	NOUN
arestyrurj-157	250	5	.	.	PUNCT
arestyrurj-157	251	1	[	[	X
arestyrurj-157	251	2	10	10	NUM
arestyrurj-157	251	3	]	]	X
arestyrurj-157	251	4	dürr	dürr	NOUN
arestyrurj-157	251	5	,	,	PUNCT
arestyrurj-157	251	6	d.	d.	PROPN
arestyrurj-157	251	7	,	,	PUNCT
arestyrurj-157	251	8	&	&	CCONJ
arestyrurj-157	251	9	teufel	teufel	PROPN
arestyrurj-157	251	10	,	,	PUNCT
arestyrurj-157	251	11	s.	s.	PROPN
arestyrurj-157	251	12	(	(	PUNCT
arestyrurj-157	251	13	2009	2009	NUM
arestyrurj-157	251	14	)	)	PUNCT
arestyrurj-157	251	15	.	.	PUNCT
arestyrurj-157	252	1	bohmian	bohmian	ADJ
arestyrurj-157	252	2	mechanics	mechanic	NOUN
arestyrurj-157	252	3	:	:	PUNCT
arestyrurj-157	252	4	the	the	DET
arestyrurj-157	252	5	physics	physics	NOUN
arestyrurj-157	252	6	and	and	CCONJ
arestyrurj-157	252	7	mathematics	mathematic	NOUN
arestyrurj-157	252	8	of	of	ADP
arestyrurj-157	252	9	quantum	quantum	NOUN
arestyrurj-157	252	10	theory	theory	NOUN
arestyrurj-157	252	11	.	.	PUNCT
arestyrurj-157	253	1	new	new	PROPN
arestyrurj-157	253	2	york	york	PROPN
arestyrurj-157	253	3	:	:	PUNCT
arestyrurj-157	253	4	springer	springer	NOUN
arestyrurj-157	253	5	.	.	PUNCT
arestyrurj-157	254	1	[	[	X
arestyrurj-157	254	2	11	11	NUM
arestyrurj-157	254	3	]	]	SYM
arestyrurj-157	254	4	kiessling	kiessling	NOUN
arestyrurj-157	254	5	,	,	PUNCT
arestyrurj-157	254	6	m.	m.	PROPN
arestyrurj-157	254	7	k.	k.	PROPN
arestyrurj-157	254	8	h.	h.	PROPN
arestyrurj-157	254	9	,	,	PUNCT
arestyrurj-157	254	10	lienert	lienert	PROPN
arestyrurj-157	254	11	,	,	PUNCT
arestyrurj-157	254	12	m.	m.	NOUN
arestyrurj-157	254	13	,	,	PUNCT
arestyrurj-157	254	14	&	&	CCONJ
arestyrurj-157	254	15	tahvildar	tahvildar	PROPN
arestyrurj-157	254	16	-	-	PUNCT
arestyrurj-157	254	17	zadeh	zadeh	PROPN
arestyrurj-157	254	18	,	,	PUNCT
arestyrurj-157	254	19	a.	a.	PROPN
arestyrurj-157	254	20	s.	s.	PROPN
arestyrurj-157	254	21	(	(	PUNCT
arestyrurj-157	254	22	2019	2019	NUM
arestyrurj-157	254	23	)	)	PUNCT
arestyrurj-157	254	24	.	.	PUNCT
arestyrurj-157	255	1	a	a	DET
arestyrurj-157	255	2	lorentz	lorentz	PROPN
arestyrurj-157	255	3	-	-	PUNCT
arestyrurj-157	255	4	covariant	covariant	ADJ
arestyrurj-157	255	5	interacting	interact	VERB
arestyrurj-157	255	6	electron	electron	NOUN
arestyrurj-157	255	7	-	-	PUNCT
arestyrurj-157	255	8	photon	photon	NOUN
arestyrurj-157	255	9	system	system	NOUN
arestyrurj-157	255	10	in	in	ADP
arestyrurj-157	255	11	one	one	NUM
arestyrurj-157	255	12	space	space	NOUN
arestyrurj-157	255	13	dimension	dimension	NOUN
arestyrurj-157	255	14	.	.	PUNCT
arestyrurj-157	256	1	preprint	preprint	NOUN
arestyrurj-157	257	1	[	[	X
arestyrurj-157	257	2	arxiv:1906.03632	arxiv:1906.03632	NOUN
arestyrurj-157	257	3	]	]	PUNCT
arestyrurj-157	257	4	.	.	PUNCT
arestyrurj-157	258	1	[	[	X
arestyrurj-157	258	2	12	12	NUM
arestyrurj-157	258	3	]	]	PUNCT
arestyrurj-157	258	4	kiessling	kiessling	NOUN
arestyrurj-157	258	5	,	,	PUNCT
arestyrurj-157	258	6	m.	m.	PROPN
arestyrurj-157	258	7	k.	k.	PROPN
arestyrurj-157	258	8	h.	h.	PROPN
arestyrurj-157	258	9	,	,	PUNCT
arestyrurj-157	258	10	&	&	CCONJ
arestyrurj-157	258	11	tahvildar	tahvildar	PROPN
arestyrurj-157	258	12	-	-	PUNCT
arestyrurj-157	258	13	zadeh	zadeh	PROPN
arestyrurj-157	258	14	,	,	PUNCT
arestyrurj-157	258	15	a.	a.	PROPN
arestyrurj-157	258	16	s.	s.	PROPN
arestyrurj-157	258	17	(	(	PUNCT
arestyrurj-157	258	18	2018	2018	NUM
arestyrurj-157	258	19	)	)	PUNCT
arestyrurj-157	258	20	.	.	PUNCT
arestyrurj-157	259	1	on	on	ADP
arestyrurj-157	259	2	the	the	DET
arestyrurj-157	259	3	quantum	quantum	ADJ
arestyrurj-157	259	4	mechanics	mechanic	NOUN
arestyrurj-157	259	5	of	of	ADP
arestyrurj-157	259	6	a	a	DET
arestyrurj-157	259	7	single	single	ADJ
arestyrurj-157	259	8	photon	photon	NOUN
arestyrurj-157	259	9	.	.	PUNCT
arestyrurj-157	260	1	j.	j.	PROPN
arestyrurj-157	260	2	math	math	PROPN
arestyrurj-157	260	3	.	.	PUNCT
arestyrurj-157	261	1	phys	phy	NOUN
arestyrurj-157	261	2	.	.	PUNCT
arestyrurj-157	261	3	,	,	PUNCT
arestyrurj-157	261	4	59	59	NUM
arestyrurj-157	261	5	(	(	PUNCT
arestyrurj-157	261	6	112302	112302	NUM
arestyrurj-157	261	7	)	)	PUNCT
arestyrurj-157	261	8	.	.	PUNCT
arestyrurj-157	262	1	[	[	X
arestyrurj-157	262	2	13	13	NUM
arestyrurj-157	262	3	]	]	SYM
arestyrurj-157	262	4	matlab	matlab	PROPN
arestyrurj-157	262	5	.	.	PUNCT
arestyrurj-157	262	6	(	(	PUNCT
arestyrurj-157	262	7	2010	2010	NUM
arestyrurj-157	262	8	)	)	PUNCT
arestyrurj-157	262	9	.	.	PUNCT
arestyrurj-157	263	1	version	version	NOUN
arestyrurj-157	264	1	7.10.0	7.10.0	PROPN
arestyrurj-157	264	2	(	(	PUNCT
arestyrurj-157	264	3	r2010a	r2010a	NOUN
arestyrurj-157	264	4	)	)	PUNCT
arestyrurj-157	264	5	.	.	PUNCT
arestyrurj-157	265	1	natick	natick	PROPN
arestyrurj-157	265	2	,	,	PUNCT
arestyrurj-157	265	3	massachusetts	massachusetts	PROPN
arestyrurj-157	265	4	:	:	PUNCT
arestyrurj-157	265	5	the	the	DET
arestyrurj-157	265	6	mathworks	mathworks	PROPN
arestyrurj-157	265	7	inc	inc	PROPN
arestyrurj-157	265	8	.	.	PUNCT
arestyrurj-157	266	1	[	[	X
arestyrurj-157	266	2	14	14	NUM
arestyrurj-157	266	3	]	]	X
arestyrurj-157	266	4	penrose	penrose	PROPN
arestyrurj-157	266	5	,	,	PUNCT
arestyrurj-157	266	6	r.	r.	PROPN
arestyrurj-157	266	7	(	(	PUNCT
arestyrurj-157	266	8	2016	2016	NUM
arestyrurj-157	266	9	)	)	PUNCT
arestyrurj-157	266	10	.	.	PUNCT
arestyrurj-157	267	1	fashion	fashion	NOUN
arestyrurj-157	267	2	,	,	PUNCT
arestyrurj-157	267	3	faith	faith	NOUN
arestyrurj-157	267	4	,	,	PUNCT
arestyrurj-157	267	5	and	and	CCONJ
arestyrurj-157	267	6	fantasy	fantasy	NOUN
arestyrurj-157	267	7	in	in	ADP
arestyrurj-157	267	8	the	the	DET
arestyrurj-157	267	9	new	new	ADJ
arestyrurj-157	267	10	physics	physics	NOUN
arestyrurj-157	267	11	of	of	ADP
arestyrurj-157	267	12	the	the	DET
arestyrurj-157	267	13	universe	universe	NOUN
arestyrurj-157	267	14	.	.	PUNCT
arestyrurj-157	268	1	princeton	princeton	PROPN
arestyrurj-157	268	2	university	university	PROPN
arestyrurj-157	268	3	press	press	NOUN
arestyrurj-157	268	4	.	.	PUNCT
arestyrurj-157	269	1	[	[	X
arestyrurj-157	269	2	15	15	NUM
arestyrurj-157	269	3	]	]	X
arestyrurj-157	269	4	weinberg	weinberg	PROPN
arestyrurj-157	269	5	,	,	PUNCT
arestyrurj-157	269	6	s.	s.	PROPN
arestyrurj-157	269	7	(	(	PUNCT
arestyrurj-157	269	8	1995	1995	NUM
arestyrurj-157	269	9	)	)	PUNCT
arestyrurj-157	269	10	.	.	PUNCT
arestyrurj-157	270	1	the	the	DET
arestyrurj-157	270	2	quantum	quantum	PROPN
arestyrurj-157	270	3	theory	theory	NOUN
arestyrurj-157	270	4	of	of	ADP
arestyrurj-157	270	5	fields	field	NOUN
arestyrurj-157	270	6	,	,	PUNCT
arestyrurj-157	270	7	vol	vol	NOUN
arestyrurj-157	270	8	.	.	PUNCT
arestyrurj-157	270	9	i.	i.	PROPN
arestyrurj-157	270	10	cambridge	cambridge	PROPN
arestyrurj-157	270	11	univ	univ	PROPN
arestyrurj-157	270	12	.	.	PUNCT
arestyrurj-157	271	1	press	press	PROPN
arestyrurj-157	271	2	.	.	PUNCT