id	sid	tid	token	lemma	pos
bibechana-27450	1	1	bibechana	bibechana	PROPN
bibechana-27450	1	2	18	18	NUM
bibechana-27450	1	3	(	(	PUNCT
bibechana-27450	1	4	1	1	NUM
bibechana-27450	1	5	)	)	PUNCT
bibechana-27450	1	6	(	(	PUNCT
bibechana-27450	1	7	2021	2021	NUM
bibechana-27450	1	8	)	)	PUNCT
bibechana-27450	1	9	91	91	NUM
bibechana-27450	1	10	-	-	SYM
bibechana-27450	1	11	99	99	NUM
bibechana-27450	1	12	91	91	NUM
bibechana-27450	1	13	bibechana	bibechana	NOUN
bibechana-27450	1	14	issn	issn	VERB
bibechana-27450	1	15	2091	2091	NUM
bibechana-27450	1	16	-	-	SYM
bibechana-27450	1	17	0762	0762	NUM
bibechana-27450	1	18	(	(	PUNCT
bibechana-27450	1	19	print	print	NOUN
bibechana-27450	1	20	)	)	PUNCT
bibechana-27450	1	21	,	,	PUNCT
bibechana-27450	1	22	2382	2382	NUM
bibechana-27450	1	23	-	-	SYM
bibechana-27450	1	24	5340	5340	NUM
bibechana-27450	1	25	(	(	PUNCT
bibechana-27450	1	26	online	online	ADJ
bibechana-27450	1	27	)	)	PUNCT
bibechana-27450	1	28	journal	journal	NOUN
bibechana-27450	1	29	homepage	homepage	NOUN
bibechana-27450	1	30	:	:	PUNCT
bibechana-27450	1	31	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-27450	1	32	publisher	publisher	NOUN
bibechana-27450	1	33	:	:	PUNCT
bibechana-27450	1	34	department	department	NOUN
bibechana-27450	1	35	of	of	ADP
bibechana-27450	1	36	physics	physics	PROPN
bibechana-27450	1	37	,	,	PUNCT
bibechana-27450	2	1	mahendra	mahendra	PROPN
bibechana-27450	2	2	morang	morang	PROPN
bibechana-27450	2	3	a.m.	a.m.	PROPN
bibechana-27450	3	1	campus	campus	PROPN
bibechana-27450	3	2	,	,	PUNCT
bibechana-27450	3	3	tu	tu	PROPN
bibechana-27450	3	4	,	,	PUNCT
bibechana-27450	3	5	biratnagar	biratnagar	NOUN
bibechana-27450	3	6	,	,	PUNCT
bibechana-27450	3	7	nepal	nepal	ADJ
bibechana-27450	3	8	study	study	NOUN
bibechana-27450	3	9	of	of	ADP
bibechana-27450	3	10	tunneling	tunneling	NOUN
bibechana-27450	3	11	and	and	CCONJ
bibechana-27450	3	12	oscillation	oscillation	NOUN
bibechana-27450	3	13	in	in	ADP
bibechana-27450	3	14	a	a	DET
bibechana-27450	3	15	𝑮𝒂𝑨𝒔/𝑨𝒍𝟎.𝟑𝑮𝒂𝟎.𝟕𝑨𝒔	𝑮𝒂𝑨𝒔/𝑨𝒍𝟎.𝟑𝑮𝒂𝟎.𝟕𝑨𝒔	PROPN
bibechana-27450	3	16	superlattice	superlattice	NOUN
bibechana-27450	3	17	:	:	PUNCT
bibechana-27450	3	18	using	use	VERB
bibechana-27450	3	19	transfer	transfer	NOUN
bibechana-27450	3	20	matrix	matrix	NOUN
bibechana-27450	3	21	method	method	NOUN
bibechana-27450	3	22	s.	s.	PROPN
bibechana-27450	3	23	shrestha1	shrestha1	PROPN
bibechana-27450	3	24	,	,	PUNCT
bibechana-27450	3	25	*	*	PROPN
bibechana-27450	3	26	,	,	PUNCT
bibechana-27450	3	27	n.	n.	PROPN
bibechana-27450	3	28	bhusal1	bhusal1	PROPN
bibechana-27450	3	29	,	,	PUNCT
bibechana-27450	3	30	s.	s.	PROPN
bibechana-27450	3	31	byahut1	byahut1	PROPN
bibechana-27450	3	32	,	,	PUNCT
bibechana-27450	3	33	c.	c.	PROPN
bibechana-27450	3	34	k.	k.	PROPN
bibechana-27450	3	35	sarkar2	sarkar2	PROPN
bibechana-27450	4	1	1central	1central	NUM
bibechana-27450	4	2	department	department	PROPN
bibechana-27450	4	3	of	of	ADP
bibechana-27450	4	4	physics	physics	PROPN
bibechana-27450	4	5	,	,	PUNCT
bibechana-27450	4	6	tribhuvan	tribhuvan	PROPN
bibechana-27450	4	7	university	university	PROPN
bibechana-27450	4	8	,	,	PUNCT
bibechana-27450	4	9	kathmandu	kathmandu	NOUN
bibechana-27450	4	10	,	,	PUNCT
bibechana-27450	4	11	nepal	nepal	ADJ
bibechana-27450	4	12	2	2	NUM
bibechana-27450	4	13	dept	dept	NOUN
bibechana-27450	4	14	.	.	PROPN
bibechana-27450	4	15	of	of	ADP
bibechana-27450	4	16	electronics	electronic	NOUN
bibechana-27450	4	17	and	and	CCONJ
bibechana-27450	4	18	tele	tele	NOUN
bibechana-27450	4	19	-	-	PUNCT
bibechana-27450	4	20	communication	communication	PROPN
bibechana-27450	4	21	engineering	engineering	NOUN
bibechana-27450	4	22	,	,	PUNCT
bibechana-27450	4	23	jadavpur	jadavpur	PROPN
bibechana-27450	4	24	university	university	PROPN
bibechana-27450	4	25	,	,	PUNCT
bibechana-27450	4	26	kolkata	kolkata	NOUN
bibechana-27450	4	27	700	700	NUM
bibechana-27450	4	28	032	032	NUM
bibechana-27450	4	29	,	,	PUNCT
bibechana-27450	4	30	india	india	PROPN
bibechana-27450	4	31	*	*	PROPN
bibechana-27450	4	32	email	email	NOUN
bibechana-27450	4	33	:	:	PUNCT
bibechana-27450	4	34	sanju12np@yahoo.com	sanju12np@yahoo.com	NUM
bibechana-27450	5	1	article	article	NOUN
bibechana-27450	5	2	information	information	NOUN
bibechana-27450	5	3	:	:	PUNCT
bibechana-27450	5	4	received	receive	VERB
bibechana-27450	5	5	:	:	PUNCT
bibechana-27450	5	6	january	january	PROPN
bibechana-27450	5	7	28	28	NUM
bibechana-27450	5	8	,	,	PUNCT
bibechana-27450	5	9	2020	2020	NUM
bibechana-27450	5	10	accepted	accept	VERB
bibechana-27450	5	11	:	:	PUNCT
bibechana-27450	5	12	july	july	PROPN
bibechana-27450	5	13	7	7	NUM
bibechana-27450	5	14	,	,	PUNCT
bibechana-27450	5	15	2020	2020	NUM
bibechana-27450	5	16	keywords	keyword	NOUN
bibechana-27450	5	17	:	:	PUNCT
bibechana-27450	5	18	gaas	gaas	NOUN
bibechana-27450	5	19	/	/	SYM
bibechana-27450	5	20	al0.3ga0.7as	al0.3ga0.7as	PROPN
bibechana-27450	5	21	superlattice	superlattice	NOUN
bibechana-27450	5	22	quantum	quantum	NOUN
bibechana-27450	5	23	tunneling	tunnel	VERB
bibechana-27450	5	24	high	high	ADJ
bibechana-27450	5	25	frequency	frequency	NOUN
bibechana-27450	5	26	oscillation	oscillation	NOUN
bibechana-27450	5	27	abstract	abstract	NOUN
bibechana-27450	5	28	the	the	DET
bibechana-27450	5	29	study	study	NOUN
bibechana-27450	5	30	of	of	ADP
bibechana-27450	5	31	superlattice	superlattice	NOUN
bibechana-27450	5	32	(	(	PUNCT
bibechana-27450	5	33	sl	sl	NOUN
bibechana-27450	5	34	)	)	PUNCT
bibechana-27450	5	35	system	system	NOUN
bibechana-27450	5	36	in	in	ADP
bibechana-27450	5	37	lower	low	ADJ
bibechana-27450	5	38	dimensions	dimension	NOUN
bibechana-27450	5	39	,	,	PUNCT
bibechana-27450	5	40	which	which	PRON
bibechana-27450	5	41	shows	show	VERB
bibechana-27450	5	42	tunneling	tunneling	NOUN
bibechana-27450	5	43	and	and	CCONJ
bibechana-27450	5	44	oscillation	oscillation	NOUN
bibechana-27450	5	45	of	of	ADP
bibechana-27450	5	46	particles	particle	NOUN
bibechana-27450	5	47	,	,	PUNCT
bibechana-27450	5	48	is	be	AUX
bibechana-27450	5	49	very	very	ADV
bibechana-27450	5	50	interesting	interesting	ADJ
bibechana-27450	5	51	from	from	ADP
bibechana-27450	5	52	the	the	DET
bibechana-27450	5	53	point	point	NOUN
bibechana-27450	5	54	of	of	ADP
bibechana-27450	5	55	view	view	NOUN
bibechana-27450	5	56	of	of	ADP
bibechana-27450	5	57	fundamental	fundamental	ADJ
bibechana-27450	5	58	physics	physics	NOUN
bibechana-27450	5	59	and	and	CCONJ
bibechana-27450	5	60	is	be	AUX
bibechana-27450	5	61	important	important	ADJ
bibechana-27450	5	62	for	for	ADP
bibechana-27450	5	63	devices	device	NOUN
bibechana-27450	5	64	.	.	PUNCT
bibechana-27450	6	1	here	here	ADV
bibechana-27450	6	2	,	,	PUNCT
bibechana-27450	6	3	we	we	PRON
bibechana-27450	6	4	present	present	VERB
bibechana-27450	6	5	results	result	NOUN
bibechana-27450	6	6	of	of	ADP
bibechana-27450	6	7	our	our	PRON
bibechana-27450	6	8	calculations	calculation	NOUN
bibechana-27450	6	9	related	relate	VERB
bibechana-27450	6	10	to	to	ADP
bibechana-27450	6	11	tunneling	tunneling	NOUN
bibechana-27450	6	12	/	/	SYM
bibechana-27450	6	13	oscillations	oscillation	NOUN
bibechana-27450	6	14	in	in	ADP
bibechana-27450	6	15	a	a	DET
bibechana-27450	6	16	general	general	ADJ
bibechana-27450	6	17	sl	sl	NOUN
bibechana-27450	6	18	system	system	NOUN
bibechana-27450	6	19	using	use	VERB
bibechana-27450	6	20	a	a	DET
bibechana-27450	6	21	symmetrical	symmetrical	ADJ
bibechana-27450	6	22	quadruple	quadruple	NOUN
bibechana-27450	6	23	well	well	ADV
bibechana-27450	6	24	(	(	PUNCT
bibechana-27450	6	25	sqw	sqw	NOUN
bibechana-27450	6	26	)	)	PUNCT
bibechana-27450	6	27	potential	potential	NOUN
bibechana-27450	6	28	.	.	PUNCT
bibechana-27450	7	1	this	this	DET
bibechana-27450	7	2	class	class	NOUN
bibechana-27450	7	3	of	of	ADP
bibechana-27450	7	4	problems	problem	NOUN
bibechana-27450	7	5	is	be	AUX
bibechana-27450	7	6	handled	handle	VERB
bibechana-27450	7	7	using	use	VERB
bibechana-27450	7	8	a	a	DET
bibechana-27450	7	9	transfer	transfer	NOUN
bibechana-27450	7	10	matrix	matrix	NOUN
bibechana-27450	7	11	(	(	PUNCT
bibechana-27450	7	12	t	t	NOUN
bibechana-27450	7	13	-	-	PUNCT
bibechana-27450	7	14	matrix	matrix	NOUN
bibechana-27450	7	15	)	)	PUNCT
bibechana-27450	7	16	,	,	PUNCT
bibechana-27450	7	17	which	which	PRON
bibechana-27450	7	18	is	be	AUX
bibechana-27450	7	19	obtained	obtain	VERB
bibechana-27450	7	20	by	by	ADP
bibechana-27450	7	21	taking	take	VERB
bibechana-27450	7	22	the	the	DET
bibechana-27450	7	23	solution	solution	NOUN
bibechana-27450	7	24	of	of	ADP
bibechana-27450	7	25	schroedinger	schroedinger	NOUN
bibechana-27450	7	26	equation	equation	NOUN
bibechana-27450	7	27	with	with	ADP
bibechana-27450	7	28	appropriate	appropriate	ADJ
bibechana-27450	7	29	boundary	boundary	ADJ
bibechana-27450	7	30	conditions	condition	NOUN
bibechana-27450	7	31	on	on	ADP
bibechana-27450	7	32	either	either	DET
bibechana-27450	7	33	side	side	NOUN
bibechana-27450	7	34	of	of	ADP
bibechana-27450	7	35	sqw	sqw	NOUN
bibechana-27450	7	36	and	and	CCONJ
bibechana-27450	7	37	then	then	ADV
bibechana-27450	7	38	repeatedly	repeatedly	ADV
bibechana-27450	7	39	applying	apply	VERB
bibechana-27450	7	40	it	it	PRON
bibechana-27450	7	41	for	for	ADP
bibechana-27450	7	42	the	the	DET
bibechana-27450	7	43	sl	sl	NOUN
bibechana-27450	7	44	system	system	NOUN
bibechana-27450	7	45	.	.	PUNCT
bibechana-27450	8	1	the	the	DET
bibechana-27450	8	2	electron	electron	NOUN
bibechana-27450	8	3	wave	wave	NOUN
bibechana-27450	8	4	functions	function	NOUN
bibechana-27450	8	5	in	in	ADP
bibechana-27450	8	6	the	the	DET
bibechana-27450	8	7	system	system	NOUN
bibechana-27450	8	8	are	be	AUX
bibechana-27450	8	9	found	find	VERB
bibechana-27450	8	10	to	to	PART
bibechana-27450	8	11	be	be	AUX
bibechana-27450	8	12	either	either	CCONJ
bibechana-27450	8	13	in	in	ADP
bibechana-27450	8	14	a	a	DET
bibechana-27450	8	15	symmetric	symmetric	ADJ
bibechana-27450	8	16	or	or	CCONJ
bibechana-27450	8	17	an	an	DET
bibechana-27450	8	18	anti	anti	ADJ
bibechana-27450	8	19	-	-	ADJ
bibechana-27450	8	20	symmetric	symmetric	ADJ
bibechana-27450	8	21	state	state	NOUN
bibechana-27450	8	22	with	with	ADP
bibechana-27450	8	23	a	a	DET
bibechana-27450	8	24	very	very	ADV
bibechana-27450	8	25	small	small	ADJ
bibechana-27450	8	26	energy	energy	NOUN
bibechana-27450	8	27	difference	difference	NOUN
bibechana-27450	8	28	between	between	ADP
bibechana-27450	8	29	the	the	DET
bibechana-27450	8	30	two	two	NUM
bibechana-27450	8	31	,	,	PUNCT
bibechana-27450	8	32	leading	lead	VERB
bibechana-27450	8	33	to	to	ADP
bibechana-27450	8	34	oscillations	oscillation	NOUN
bibechana-27450	8	35	between	between	ADP
bibechana-27450	8	36	these	these	DET
bibechana-27450	8	37	states	state	NOUN
bibechana-27450	8	38	.	.	PUNCT
bibechana-27450	9	1	in	in	ADP
bibechana-27450	9	2	this	this	DET
bibechana-27450	9	3	study	study	NOUN
bibechana-27450	9	4	,	,	PUNCT
bibechana-27450	9	5	probability	probability	NOUN
bibechana-27450	9	6	density	density	NOUN
bibechana-27450	9	7	and	and	CCONJ
bibechana-27450	9	8	period	period	NOUN
bibechana-27450	9	9	of	of	ADP
bibechana-27450	9	10	oscillation	oscillation	NOUN
bibechana-27450	9	11	of	of	ADP
bibechana-27450	9	12	the	the	DET
bibechana-27450	9	13	particle	particle	NOUN
bibechana-27450	9	14	in	in	ADP
bibechana-27450	9	15	sqw	sqw	NOUN
bibechana-27450	9	16	is	be	AUX
bibechana-27450	9	17	calculated	calculate	VERB
bibechana-27450	9	18	.	.	PUNCT
bibechana-27450	10	1	the	the	DET
bibechana-27450	10	2	result	result	NOUN
bibechana-27450	10	3	is	be	AUX
bibechana-27450	10	4	useful	useful	ADJ
bibechana-27450	10	5	for	for	ADP
bibechana-27450	10	6	high	high	ADJ
bibechana-27450	10	7	frequency	frequency	NOUN
bibechana-27450	10	8	operations	operation	NOUN
bibechana-27450	10	9	in	in	ADP
bibechana-27450	10	10	devices	device	NOUN
bibechana-27450	10	11	using	use	VERB
bibechana-27450	10	12	sl	sl	PROPN
bibechana-27450	10	13	.	.	PUNCT
bibechana-27450	10	14	doi	doi	PROPN
bibechana-27450	10	15	:	:	PUNCT
bibechana-27450	10	16	https://doi.org/10.3126/bibechana.v18i1.27450	https://doi.org/10.3126/bibechana.v18i1.27450	NOUN
bibechana-27450	10	17	this	this	DET
bibechana-27450	10	18	work	work	NOUN
bibechana-27450	10	19	is	be	AUX
bibechana-27450	10	20	licensed	license	VERB
bibechana-27450	10	21	under	under	ADP
bibechana-27450	10	22	the	the	DET
bibechana-27450	10	23	creative	creative	ADJ
bibechana-27450	10	24	commons	common	NOUN
bibechana-27450	10	25	cc	cc	ADP
bibechana-27450	10	26	by	by	ADP
bibechana-27450	10	27	-	-	PUNCT
bibechana-27450	10	28	nc	nc	NOUN
bibechana-27450	10	29	license	license	NOUN
bibechana-27450	10	30	.	.	PUNCT
bibechana-27450	11	1	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	DET
bibechana-27450	11	2	1	1	NUM
bibechana-27450	11	3	.	.	PUNCT
bibechana-27450	11	4	introduction	introduction	NOUN
bibechana-27450	11	5	a	a	DET
bibechana-27450	11	6	superlattice	superlattice	NOUN
bibechana-27450	11	7	(	(	PUNCT
bibechana-27450	11	8	sl	sl	NOUN
bibechana-27450	11	9	)	)	PUNCT
bibechana-27450	11	10	can	can	AUX
bibechana-27450	11	11	be	be	AUX
bibechana-27450	11	12	modeled	model	VERB
bibechana-27450	11	13	by	by	ADP
bibechana-27450	11	14	a	a	DET
bibechana-27450	11	15	set	set	NOUN
bibechana-27450	11	16	of	of	ADP
bibechana-27450	11	17	quantum	quantum	ADJ
bibechana-27450	11	18	wells	well	NOUN
bibechana-27450	11	19	,	,	PUNCT
bibechana-27450	11	20	spaced	space	VERB
bibechana-27450	11	21	sufficiently	sufficiently	ADV
bibechana-27450	11	22	close	close	ADJ
bibechana-27450	11	23	,	,	PUNCT
bibechana-27450	11	24	in	in	ADP
bibechana-27450	11	25	which	which	PRON
bibechana-27450	11	26	electrons	electron	NOUN
bibechana-27450	11	27	can	can	AUX
bibechana-27450	11	28	tunnel	tunnel	VERB
bibechana-27450	11	29	between	between	ADP
bibechana-27450	11	30	the	the	DET
bibechana-27450	11	31	wells	well	NOUN
bibechana-27450	11	32	.	.	PUNCT
bibechana-27450	12	1	the	the	DET
bibechana-27450	12	2	potential	potential	ADJ
bibechana-27450	12	3	profile	profile	NOUN
bibechana-27450	12	4	of	of	ADP
bibechana-27450	12	5	the	the	DET
bibechana-27450	12	6	sl	sl	NOUN
bibechana-27450	12	7	is	be	AUX
bibechana-27450	12	8	analogous	analogous	ADJ
bibechana-27450	12	9	to	to	ADP
bibechana-27450	12	10	the	the	DET
bibechana-27450	12	11	kronig	kronig	NOUN
bibechana-27450	12	12	-	-	PUNCT
bibechana-27450	12	13	penney	penney	PROPN
bibechana-27450	12	14	model	model	NOUN
bibechana-27450	12	15	[	[	X
bibechana-27450	12	16	1,2	1,2	NUM
bibechana-27450	12	17	]	]	PUNCT
bibechana-27450	12	18	.	.	PUNCT
bibechana-27450	13	1	the	the	DET
bibechana-27450	13	2	sl	sl	NOUN
bibechana-27450	13	3	system	system	NOUN
bibechana-27450	13	4	has	have	VERB
bibechana-27450	13	5	a	a	DET
bibechana-27450	13	6	variety	variety	NOUN
bibechana-27450	13	7	of	of	ADP
bibechana-27450	13	8	applications	application	NOUN
bibechana-27450	13	9	in	in	ADP
bibechana-27450	13	10	devices	device	NOUN
bibechana-27450	13	11	such	such	ADJ
bibechana-27450	13	12	as	as	ADP
bibechana-27450	13	13	resonant	resonant	ADJ
bibechana-27450	13	14	tunneling	tunneling	NOUN
bibechana-27450	13	15	structure	structure	NOUN
bibechana-27450	13	16	and	and	CCONJ
bibechana-27450	13	17	far	far	ADV
bibechana-27450	13	18	-	-	PUNCT
bibechana-27450	13	19	infrared	infrared	ADJ
bibechana-27450	13	20	detector	detector	NOUN
bibechana-27450	13	21	.	.	PUNCT
bibechana-27450	14	1	if	if	SCONJ
bibechana-27450	14	2	the	the	DET
bibechana-27450	14	3	quantum	quantum	ADJ
bibechana-27450	14	4	wells	well	NOUN
bibechana-27450	14	5	are	be	AUX
bibechana-27450	14	6	periodically	periodically	ADV
bibechana-27450	14	7	coupled	couple	VERB
bibechana-27450	14	8	,	,	PUNCT
bibechana-27450	14	9	new	new	ADJ
bibechana-27450	14	10	phenomena	phenomenon	NOUN
bibechana-27450	14	11	may	may	AUX
bibechana-27450	14	12	arise	arise	VERB
bibechana-27450	14	13	because	because	SCONJ
bibechana-27450	14	14	carriers	carrier	NOUN
bibechana-27450	14	15	from	from	ADP
bibechana-27450	14	16	one	one	NUM
bibechana-27450	14	17	quantum	quantum	NOUN
bibechana-27450	14	18	well	well	ADV
bibechana-27450	14	19	may	may	AUX
bibechana-27450	14	20	tunnel	tunnel	VERB
bibechana-27450	14	21	though	though	SCONJ
bibechana-27450	14	22	an	an	DET
bibechana-27450	14	23	intervening	intervene	VERB
bibechana-27450	14	24	layer	layer	NOUN
bibechana-27450	14	25	to	to	ADP
bibechana-27450	14	26	the	the	DET
bibechana-27450	14	27	next	next	ADJ
bibechana-27450	14	28	well	well	NOUN
bibechana-27450	14	29	.	.	PUNCT
bibechana-27450	15	1	by	by	ADP
bibechana-27450	15	2	varying	vary	VERB
bibechana-27450	15	3	the	the	DET
bibechana-27450	15	4	number	number	NOUN
bibechana-27450	15	5	of	of	ADP
bibechana-27450	15	6	wells	well	NOUN
bibechana-27450	15	7	and	and	CCONJ
bibechana-27450	15	8	controlling	control	VERB
bibechana-27450	15	9	the	the	DET
bibechana-27450	15	10	strength	strength	NOUN
bibechana-27450	15	11	of	of	ADP
bibechana-27450	15	12	interaction	interaction	NOUN
bibechana-27450	15	13	between	between	ADP
bibechana-27450	15	14	wells	well	NOUN
bibechana-27450	15	15	there	there	PRON
bibechana-27450	15	16	is	be	VERB
bibechana-27450	15	17	a	a	DET
bibechana-27450	15	18	possibility	possibility	NOUN
bibechana-27450	15	19	of	of	ADP
bibechana-27450	15	20	making	make	VERB
bibechana-27450	15	21	semiconductor	semiconductor	NOUN
bibechana-27450	15	22	devices	device	NOUN
bibechana-27450	15	23	with	with	ADP
bibechana-27450	15	24	tailored	tailor	VERB
bibechana-27450	15	25	band	band	NOUN
bibechana-27450	15	26	gap	gap	NOUN
bibechana-27450	15	27	.	.	PUNCT
bibechana-27450	16	1	this	this	PRON
bibechana-27450	16	2	will	will	AUX
bibechana-27450	16	3	enable	enable	VERB
bibechana-27450	16	4	devices	device	NOUN
bibechana-27450	16	5	sensitive	sensitive	ADJ
bibechana-27450	16	6	to	to	ADP
bibechana-27450	16	7	and	and	CCONJ
bibechana-27450	16	8	operating	operate	VERB
bibechana-27450	16	9	at	at	ADP
bibechana-27450	16	10	energies	energy	NOUN
bibechana-27450	16	11	in	in	ADP
bibechana-27450	16	12	the	the	DET
bibechana-27450	16	13	range	range	NOUN
bibechana-27450	16	14	of	of	ADP
bibechana-27450	16	15	our	our	PRON
bibechana-27450	16	16	interest	interest	NOUN
bibechana-27450	16	17	.	.	PUNCT
bibechana-27450	17	1	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-27450	17	2	mailto:sanju12np@yahoo.com	mailto:sanju12np@yahoo.com	X
bibechana-27450	17	3	https://doi.org/10.3126/bibechana.v18i1.27450	https://doi.org/10.3126/bibechana.v18i1.27450	X
bibechana-27450	17	4	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	PROPN
bibechana-27450	17	5	s.	s.	PROPN
bibechana-27450	17	6	shrestha	shrestha	PROPN
bibechana-27450	17	7	et	et	PROPN
bibechana-27450	17	8	al	al	PROPN
bibechana-27450	17	9	.	.	PUNCT
bibechana-27450	17	10	/	/	SYM
bibechana-27450	17	11	bibechana	bibechana	NOUN
bibechana-27450	17	12	18	18	NUM
bibechana-27450	17	13	(	(	PUNCT
bibechana-27450	17	14	1	1	NUM
bibechana-27450	17	15	)	)	PUNCT
bibechana-27450	17	16	(	(	PUNCT
bibechana-27450	17	17	2021	2021	NUM
bibechana-27450	17	18	)	)	PUNCT
bibechana-27450	17	19	91	91	NUM
bibechana-27450	17	20	-	-	SYM
bibechana-27450	17	21	99	99	NUM
bibechana-27450	17	22	92	92	NUM
bibechana-27450	17	23	the	the	DET
bibechana-27450	17	24	idea	idea	NOUN
bibechana-27450	17	25	of	of	ADP
bibechana-27450	17	26	semiconductor	semiconductor	NOUN
bibechana-27450	17	27	sl	sl	PROPN
bibechana-27450	17	28	was	be	AUX
bibechana-27450	17	29	first	first	ADV
bibechana-27450	17	30	proposed	propose	VERB
bibechana-27450	17	31	by	by	ADP
bibechana-27450	17	32	esaki	esaki	NOUN
bibechana-27450	17	33	and	and	CCONJ
bibechana-27450	17	34	tsu	tsu	NOUN
bibechana-27450	17	35	in	in	ADP
bibechana-27450	17	36	1970	1970	NUM
bibechana-27450	18	1	[	[	X
bibechana-27450	18	2	3	3	NUM
bibechana-27450	18	3	]	]	PUNCT
bibechana-27450	18	4	.	.	PUNCT
bibechana-27450	19	1	semiconductor	semiconductor	NOUN
bibechana-27450	19	2	sl	sl	PROPN
bibechana-27450	19	3	is	be	AUX
bibechana-27450	19	4	formed	form	VERB
bibechana-27450	19	5	by	by	ADP
bibechana-27450	19	6	layered	layered	ADJ
bibechana-27450	19	7	fabrication	fabrication	NOUN
bibechana-27450	19	8	of	of	ADP
bibechana-27450	19	9	two	two	NUM
bibechana-27450	19	10	or	or	CCONJ
bibechana-27450	19	11	more	more	ADJ
bibechana-27450	19	12	semiconductors	semiconductor	NOUN
bibechana-27450	19	13	of	of	ADP
bibechana-27450	19	14	different	different	ADJ
bibechana-27450	19	15	band	band	NOUN
bibechana-27450	19	16	gaps	gap	NOUN
bibechana-27450	19	17	(	(	PUNCT
bibechana-27450	19	18	e.g.	e.g.	ADV
bibechana-27450	19	19	𝐺𝑎𝐴𝑠	𝐺𝑎𝐴𝑠	NOUN
bibechana-27450	19	20	and𝐴𝑙0.3𝐺𝑎0.7𝐴𝑠	and𝐴𝑙0.3𝐺𝑎0.7𝐴𝑠	NOUN
bibechana-27450	19	21	)	)	PUNCT
bibechana-27450	19	22	in	in	ADP
bibechana-27450	19	23	a	a	DET
bibechana-27450	19	24	nanometer	nanometer	NOUN
bibechana-27450	19	25	scale	scale	NOUN
bibechana-27450	19	26	.	.	PUNCT
bibechana-27450	20	1	it	it	PRON
bibechana-27450	20	2	has	have	AUX
bibechana-27450	20	3	been	be	AUX
bibechana-27450	20	4	studied	study	VERB
bibechana-27450	20	5	for	for	ADP
bibechana-27450	20	6	different	different	ADJ
bibechana-27450	20	7	applications	application	NOUN
bibechana-27450	20	8	by	by	ADP
bibechana-27450	20	9	several	several	ADJ
bibechana-27450	20	10	groups	group	NOUN
bibechana-27450	20	11	for	for	ADP
bibechana-27450	20	12	their	their	PRON
bibechana-27450	20	13	optical	optical	ADJ
bibechana-27450	20	14	and	and	CCONJ
bibechana-27450	20	15	transport	transport	NOUN
bibechana-27450	20	16	properties	property	NOUN
bibechana-27450	20	17	[	[	X
bibechana-27450	20	18	4	4	NUM
bibechana-27450	20	19	-	-	SYM
bibechana-27450	20	20	6	6	NUM
bibechana-27450	20	21	]	]	PUNCT
bibechana-27450	20	22	.	.	PUNCT
bibechana-27450	21	1	photoluminescence	photoluminescence	NOUN
bibechana-27450	21	2	measurement	measurement	NOUN
bibechana-27450	21	3	was	be	AUX
bibechana-27450	21	4	performed	perform	VERB
bibechana-27450	21	5	in	in	ADP
bibechana-27450	21	6	sl	sl	NOUN
bibechana-27450	21	7	with	with	ADP
bibechana-27450	21	8	parabolic	parabolic	NOUN
bibechana-27450	21	9	bands	band	NOUN
bibechana-27450	21	10	,	,	PUNCT
bibechana-27450	21	11	such	such	ADJ
bibechana-27450	21	12	as	as	ADP
bibechana-27450	21	13	𝐺𝑎𝐴𝑠/	𝐺𝑎𝐴𝑠/	PROPN
bibechana-27450	21	14	𝐴𝑙𝐺𝑎𝐴𝑠[7	𝐴𝑙𝐺𝑎𝐴𝑠[7	PROPN
bibechana-27450	21	15	]	]	PUNCT
bibechana-27450	21	16	.	.	PUNCT
bibechana-27450	22	1	𝐴𝑙𝐺𝑎𝐴𝑠/𝐺𝑎𝐴𝑠	𝐴𝑙𝐺𝑎𝐴𝑠/𝐺𝑎𝐴𝑠	PROPN
bibechana-27450	22	2	sl	sl	NUM
bibechana-27450	22	3	mini	mini	ADJ
bibechana-27450	22	4	-	-	NOUN
bibechana-27450	22	5	band	band	NOUN
bibechana-27450	22	6	detectors	detector	NOUN
bibechana-27450	22	7	,	,	PUNCT
bibechana-27450	22	8	which	which	PRON
bibechana-27450	22	9	operate	operate	VERB
bibechana-27450	22	10	at	at	ADP
bibechana-27450	22	11	very	very	ADV
bibechana-27450	22	12	low	low	ADJ
bibechana-27450	22	13	or	or	CCONJ
bibechana-27450	22	14	zero	zero	NUM
bibechana-27450	22	15	bias	bias	NOUN
bibechana-27450	22	16	voltage	voltage	NOUN
bibechana-27450	22	17	,	,	PUNCT
bibechana-27450	22	18	have	have	AUX
bibechana-27450	22	19	been	be	AUX
bibechana-27450	22	20	discussed	discuss	VERB
bibechana-27450	22	21	and	and	CCONJ
bibechana-27450	22	22	their	their	PRON
bibechana-27450	22	23	peak	peak	ADJ
bibechana-27450	22	24	spectral	spectral	ADJ
bibechana-27450	22	25	response	response	NOUN
bibechana-27450	22	26	in	in	ADP
bibechana-27450	22	27	the	the	DET
bibechana-27450	22	28	range	range	NOUN
bibechana-27450	22	29	from	from	ADP
bibechana-27450	22	30	4	4	NUM
bibechana-27450	22	31	to	to	PART
bibechana-27450	22	32	10	10	NUM
bibechana-27450	22	33	pm	pm	NOUN
bibechana-27450	22	34	has	have	AUX
bibechana-27450	22	35	also	also	ADV
bibechana-27450	22	36	been	be	AUX
bibechana-27450	22	37	reported	report	VERB
bibechana-27450	22	38	[	[	X
bibechana-27450	22	39	8,9	8,9	NUM
bibechana-27450	22	40	]	]	PUNCT
bibechana-27450	22	41	.	.	PUNCT
bibechana-27450	23	1	blotch	blotch	NOUN
bibechana-27450	23	2	oscillations	oscillation	NOUN
bibechana-27450	23	3	in	in	ADP
bibechana-27450	23	4	algaas	algaas	ADV
bibechana-27450	23	5	/	/	SYM
bibechana-27450	23	6	gaas	gaas	NOUN
bibechana-27450	23	7	sl	sl	NOUN
bibechana-27450	23	8	in	in	ADP
bibechana-27450	23	9	terahertz	terahertz	NOUN
bibechana-27450	23	10	region	region	NOUN
bibechana-27450	23	11	using	use	VERB
bibechana-27450	23	12	monte	monte	PROPN
bibechana-27450	23	13	carlo	carlo	PROPN
bibechana-27450	23	14	method	method	NOUN
bibechana-27450	23	15	have	have	AUX
bibechana-27450	23	16	also	also	ADV
bibechana-27450	23	17	been	be	AUX
bibechana-27450	23	18	studied	study	VERB
bibechana-27450	23	19	[	[	PUNCT
bibechana-27450	23	20	10	10	NUM
bibechana-27450	23	21	]	]	PUNCT
bibechana-27450	23	22	,	,	PUNCT
bibechana-27450	23	23	in	in	ADP
bibechana-27450	23	24	which	which	PRON
bibechana-27450	23	25	,	,	PUNCT
bibechana-27450	23	26	the	the	DET
bibechana-27450	23	27	effective	effective	ADJ
bibechana-27450	23	28	mass	mass	NOUN
bibechana-27450	23	29	approximation	approximation	NOUN
bibechana-27450	23	30	was	be	AUX
bibechana-27450	23	31	used	use	VERB
bibechana-27450	23	32	in	in	ADP
bibechana-27450	23	33	two	two	NUM
bibechana-27450	23	34	dimensional	dimensional	ADJ
bibechana-27450	23	35	model	model	NOUN
bibechana-27450	23	36	and	and	CCONJ
bibechana-27450	23	37	studied	study	VERB
bibechana-27450	23	38	electron	electron	NOUN
bibechana-27450	23	39	miniband	miniband	NOUN
bibechana-27450	23	40	transport	transport	NOUN
bibechana-27450	23	41	.	.	PUNCT
bibechana-27450	24	1	renk	renk	PROPN
bibechana-27450	24	2	et	et	PROPN
bibechana-27450	24	3	al	al	PROPN
bibechana-27450	24	4	.	.	PUNCT
bibechana-27450	25	1	[	[	X
bibechana-27450	25	2	11	11	NUM
bibechana-27450	25	3	]	]	PUNCT
bibechana-27450	25	4	have	have	AUX
bibechana-27450	25	5	done	do	VERB
bibechana-27450	25	6	experimental	experimental	ADJ
bibechana-27450	25	7	study	study	NOUN
bibechana-27450	25	8	on	on	ADP
bibechana-27450	25	9	semiconductor	semiconductor	NOUN
bibechana-27450	25	10	sl	sl	NOUN
bibechana-27450	25	11	oscillator	oscillator	NOUN
bibechana-27450	25	12	in	in	ADP
bibechana-27450	25	13	the	the	DET
bibechana-27450	25	14	frequency	frequency	NOUN
bibechana-27450	25	15	range	range	NOUN
bibechana-27450	25	16	of	of	ADP
bibechana-27450	25	17	60ghz	60ghz	NOUN
bibechana-27450	25	18	.	.	PUNCT
bibechana-27450	26	1	high	high	ADJ
bibechana-27450	26	2	frequency	frequency	NOUN
bibechana-27450	26	3	devices	device	NOUN
bibechana-27450	26	4	have	have	AUX
bibechana-27450	26	5	been	be	AUX
bibechana-27450	26	6	an	an	DET
bibechana-27450	26	7	important	important	ADJ
bibechana-27450	26	8	research	research	NOUN
bibechana-27450	26	9	area	area	NOUN
bibechana-27450	26	10	for	for	ADP
bibechana-27450	26	11	many	many	ADJ
bibechana-27450	26	12	years	year	NOUN
bibechana-27450	26	13	.	.	PUNCT
bibechana-27450	27	1	the	the	DET
bibechana-27450	27	2	application	application	NOUN
bibechana-27450	27	3	of	of	ADP
bibechana-27450	27	4	resonant	resonant	ADJ
bibechana-27450	27	5	tunneling	tunneling	NOUN
bibechana-27450	27	6	diode	diode	NOUN
bibechana-27450	27	7	(	(	PUNCT
bibechana-27450	27	8	rtd	rtd	PROPN
bibechana-27450	27	9	)	)	PUNCT
bibechana-27450	27	10	in	in	ADP
bibechana-27450	27	11	1980	1980	NUM
bibechana-27450	27	12	’s	’s	PART
bibechana-27450	27	13	was	be	AUX
bibechana-27450	27	14	not	not	PART
bibechana-27450	27	15	very	very	ADV
bibechana-27450	27	16	successful	successful	ADJ
bibechana-27450	27	17	in	in	ADP
bibechana-27450	27	18	the	the	DET
bibechana-27450	27	19	terahertz	terahertz	NOUN
bibechana-27450	27	20	(	(	PUNCT
bibechana-27450	27	21	thz	thz	PROPN
bibechana-27450	27	22	)	)	PUNCT
bibechana-27450	27	23	region	region	NOUN
bibechana-27450	27	24	due	due	ADP
bibechana-27450	27	25	to	to	ADP
bibechana-27450	27	26	the	the	DET
bibechana-27450	27	27	extrinsic	extrinsic	ADJ
bibechana-27450	27	28	design	design	NOUN
bibechana-27450	27	29	manner	manner	NOUN
bibechana-27450	27	30	,	,	PUNCT
bibechana-27450	27	31	which	which	PRON
bibechana-27450	27	32	relied	rely	VERB
bibechana-27450	27	33	on	on	ADP
bibechana-27450	27	34	external	external	ADJ
bibechana-27450	27	35	circuit	circuit	NOUN
bibechana-27450	27	36	elements	element	NOUN
bibechana-27450	27	37	to	to	PART
bibechana-27450	27	38	induce	induce	VERB
bibechana-27450	27	39	oscillation	oscillation	NOUN
bibechana-27450	27	40	.	.	PUNCT
bibechana-27450	28	1	a	a	DET
bibechana-27450	28	2	new	new	ADJ
bibechana-27450	28	3	theory	theory	NOUN
bibechana-27450	28	4	for	for	ADP
bibechana-27450	28	5	the	the	DET
bibechana-27450	28	6	origin	origin	NOUN
bibechana-27450	28	7	of	of	ADP
bibechana-27450	28	8	intrinsic	intrinsic	ADJ
bibechana-27450	28	9	oscillation	oscillation	NOUN
bibechana-27450	28	10	due	due	ADP
bibechana-27450	28	11	to	to	ADP
bibechana-27450	28	12	inter	inter	VERB
bibechana-27450	28	13	sub	sub	ADJ
bibechana-27450	28	14	-	-	ADJ
bibechana-27450	28	15	band	band	ADJ
bibechana-27450	28	16	coupling	coupling	NOUN
bibechana-27450	28	17	in	in	ADP
bibechana-27450	28	18	a	a	DET
bibechana-27450	28	19	multi	multi	ADJ
bibechana-27450	28	20	sub	sub	ADJ
bibechana-27450	28	21	-	-	ADJ
bibechana-27450	28	22	band	band	ADJ
bibechana-27450	28	23	system	system	NOUN
bibechana-27450	28	24	in	in	ADP
bibechana-27450	28	25	the	the	DET
bibechana-27450	28	26	terahertz	terahertz	NOUN
bibechana-27450	28	27	frequency	frequency	NOUN
bibechana-27450	28	28	region	region	NOUN
bibechana-27450	28	29	has	have	AUX
bibechana-27450	28	30	been	be	AUX
bibechana-27450	28	31	developed	develop	VERB
bibechana-27450	28	32	(	(	PUNCT
bibechana-27450	28	33	for	for	ADP
bibechana-27450	28	34	example	example	NOUN
bibechana-27450	28	35	,	,	PUNCT
bibechana-27450	28	36	current	current	ADJ
bibechana-27450	28	37	oscillation	oscillation	NOUN
bibechana-27450	28	38	in	in	ADP
bibechana-27450	28	39	a	a	DET
bibechana-27450	28	40	double	double	ADJ
bibechana-27450	28	41	barrier	barrier	NOUN
bibechana-27450	28	42	quantum	quantum	NOUN
bibechana-27450	28	43	well	well	NOUN
bibechana-27450	28	44	structure	structure	NOUN
bibechana-27450	29	1	[	[	X
bibechana-27450	29	2	dbqws	dbqws	NOUN
bibechana-27450	29	3	]	]	PUNCT
bibechana-27450	29	4	based	base	VERB
bibechana-27450	29	5	oscillators	oscillator	NOUN
bibechana-27450	29	6	)	)	PUNCT
bibechana-27450	30	1	[	[	X
bibechana-27450	30	2	12,13	12,13	NUM
bibechana-27450	30	3	]	]	PUNCT
bibechana-27450	30	4	.	.	PUNCT
bibechana-27450	31	1	the	the	DET
bibechana-27450	31	2	relationship	relationship	NOUN
bibechana-27450	31	3	between	between	ADP
bibechana-27450	31	4	oscillation	oscillation	NOUN
bibechana-27450	31	5	frequency	frequency	NOUN
bibechana-27450	31	6	and	and	CCONJ
bibechana-27450	31	7	sub	sub	ADJ
bibechana-27450	31	8	-	-	ADJ
bibechana-27450	31	9	band	band	ADJ
bibechana-27450	31	10	structure	structure	NOUN
bibechana-27450	31	11	can	can	AUX
bibechana-27450	31	12	be	be	AUX
bibechana-27450	31	13	used	use	VERB
bibechana-27450	31	14	as	as	ADP
bibechana-27450	31	15	design	design	NOUN
bibechana-27450	31	16	criteria	criterion	NOUN
bibechana-27450	31	17	for	for	ADP
bibechana-27450	31	18	new	new	ADJ
bibechana-27450	31	19	types	type	NOUN
bibechana-27450	31	20	of	of	ADP
bibechana-27450	31	21	intrinsic	intrinsic	ADJ
bibechana-27450	31	22	oscillators	oscillator	NOUN
bibechana-27450	31	23	.	.	PUNCT
bibechana-27450	32	1	the	the	DET
bibechana-27450	32	2	tunneling	tunneling	NOUN
bibechana-27450	32	3	calculations	calculation	NOUN
bibechana-27450	32	4	on	on	ADP
bibechana-27450	32	5	sawtooth	sawtooth	NOUN
bibechana-27450	32	6	and	and	CCONJ
bibechana-27450	32	7	rectangular	rectangular	ADJ
bibechana-27450	32	8	sl	sl	NOUN
bibechana-27450	32	9	of	of	ADP
bibechana-27450	32	10	algaas	algaas	ADV
bibechana-27450	32	11	/	/	SYM
bibechana-27450	32	12	gaas	gaas	NOUN
bibechana-27450	32	13	using	use	VERB
bibechana-27450	32	14	transfer	transfer	NOUN
bibechana-27450	32	15	matrix	matrix	NOUN
bibechana-27450	32	16	was	be	AUX
bibechana-27450	32	17	previously	previously	ADV
bibechana-27450	32	18	done	do	VERB
bibechana-27450	32	19	[	[	X
bibechana-27450	32	20	14	14	NUM
bibechana-27450	32	21	]	]	PUNCT
bibechana-27450	32	22	.	.	PUNCT
bibechana-27450	33	1	hence	hence	ADV
bibechana-27450	33	2	,	,	PUNCT
bibechana-27450	33	3	the	the	DET
bibechana-27450	33	4	concept	concept	NOUN
bibechana-27450	33	5	of	of	ADP
bibechana-27450	33	6	the	the	DET
bibechana-27450	33	7	transfer	transfer	NOUN
bibechana-27450	33	8	matrix	matrix	NOUN
bibechana-27450	33	9	on	on	ADP
bibechana-27450	33	10	sl	sl	INTJ
bibechana-27450	33	11	of	of	ADP
bibechana-27450	33	12	algaas	algaas	ADJ
bibechana-27450	33	13	/	/	SYM
bibechana-27450	33	14	gaas	gaas	NOUN
bibechana-27450	33	15	,	,	PUNCT
bibechana-27450	33	16	as	as	SCONJ
bibechana-27450	33	17	done	do	VERB
bibechana-27450	33	18	by	by	ADP
bibechana-27450	33	19	forrest	forrest	PROPN
bibechana-27450	33	20	et	et	PROPN
bibechana-27450	33	21	al	al	PROPN
bibechana-27450	33	22	.	.	PUNCT
bibechana-27450	34	1	[	[	X
bibechana-27450	34	2	14	14	NUM
bibechana-27450	34	3	]	]	PUNCT
bibechana-27450	34	4	is	be	AUX
bibechana-27450	34	5	used	use	VERB
bibechana-27450	34	6	to	to	PART
bibechana-27450	34	7	study	study	VERB
bibechana-27450	34	8	tunneling	tunneling	NOUN
bibechana-27450	34	9	,	,	PUNCT
bibechana-27450	34	10	oscillatory	oscillatory	ADJ
bibechana-27450	34	11	behavior	behavior	NOUN
bibechana-27450	34	12	and	and	CCONJ
bibechana-27450	34	13	the	the	DET
bibechana-27450	34	14	frequency	frequency	NOUN
bibechana-27450	34	15	of	of	ADP
bibechana-27450	34	16	oscillation	oscillation	NOUN
bibechana-27450	34	17	.	.	PUNCT
bibechana-27450	35	1	in	in	ADP
bibechana-27450	35	2	the	the	DET
bibechana-27450	35	3	present	present	ADJ
bibechana-27450	35	4	work	work	NOUN
bibechana-27450	35	5	a	a	DET
bibechana-27450	35	6	sl	sl	NOUN
bibechana-27450	35	7	of	of	ADP
bibechana-27450	35	8	𝐺𝑎𝐴𝑠	𝐺𝑎𝐴𝑠	PROPN
bibechana-27450	35	9	and	and	CCONJ
bibechana-27450	35	10	𝐴𝑙0.3𝐺𝑎0.7𝐴𝑠	𝐴𝑙0.3𝐺𝑎0.7𝐴𝑠	NOUN
bibechana-27450	35	11	is	be	AUX
bibechana-27450	35	12	studied	study	VERB
bibechana-27450	35	13	.	.	PUNCT
bibechana-27450	36	1	an	an	DET
bibechana-27450	36	2	accurate	accurate	ADJ
bibechana-27450	36	3	form	form	NOUN
bibechana-27450	36	4	of	of	ADP
bibechana-27450	36	5	solution	solution	NOUN
bibechana-27450	36	6	is	be	AUX
bibechana-27450	36	7	offered	offer	VERB
bibechana-27450	36	8	by	by	ADP
bibechana-27450	36	9	transfer	transfer	NOUN
bibechana-27450	36	10	matrix	matrix	NOUN
bibechana-27450	36	11	method	method	NOUN
bibechana-27450	36	12	[	[	X
bibechana-27450	36	13	15	15	NUM
bibechana-27450	36	14	]	]	PUNCT
bibechana-27450	36	15	.	.	PUNCT
bibechana-27450	37	1	we	we	PRON
bibechana-27450	37	2	first	first	ADV
bibechana-27450	37	3	solve	solve	VERB
bibechana-27450	37	4	a	a	DET
bibechana-27450	37	5	symmetric	symmetric	ADJ
bibechana-27450	37	6	quadruple	quadruple	NOUN
bibechana-27450	37	7	wells	wells	PROPN
bibechana-27450	37	8	(	(	PUNCT
bibechana-27450	37	9	sqw	sqw	NOUN
bibechana-27450	37	10	)	)	PUNCT
bibechana-27450	37	11	(	(	PUNCT
bibechana-27450	37	12	with	with	ADP
bibechana-27450	37	13	three	three	NUM
bibechana-27450	37	14	barriers	barrier	NOUN
bibechana-27450	37	15	in	in	ADP
bibechana-27450	37	16	between	between	ADP
bibechana-27450	37	17	)	)	PUNCT
bibechana-27450	37	18	problem	problem	NOUN
bibechana-27450	37	19	exactly	exactly	ADV
bibechana-27450	37	20	and	and	CCONJ
bibechana-27450	37	21	find	find	VERB
bibechana-27450	37	22	the	the	DET
bibechana-27450	37	23	matrix	matrix	NOUN
bibechana-27450	37	24	which	which	PRON
bibechana-27450	37	25	associates	associate	VERB
bibechana-27450	37	26	the	the	DET
bibechana-27450	37	27	wave	wave	NOUN
bibechana-27450	37	28	function	function	NOUN
bibechana-27450	37	29	in	in	ADP
bibechana-27450	37	30	the	the	DET
bibechana-27450	37	31	first	first	ADJ
bibechana-27450	37	32	well	well	NOUN
bibechana-27450	37	33	with	with	ADP
bibechana-27450	37	34	the	the	DET
bibechana-27450	37	35	wave	wave	NOUN
bibechana-27450	37	36	function	function	NOUN
bibechana-27450	37	37	of	of	ADP
bibechana-27450	37	38	the	the	DET
bibechana-27450	37	39	fourth	fourth	ADJ
bibechana-27450	37	40	well	well	NOUN
bibechana-27450	37	41	.	.	PUNCT
bibechana-27450	38	1	this	this	DET
bibechana-27450	38	2	matrix	matrix	NOUN
bibechana-27450	38	3	is	be	AUX
bibechana-27450	38	4	then	then	ADV
bibechana-27450	38	5	used	use	VERB
bibechana-27450	38	6	to	to	PART
bibechana-27450	38	7	develop	develop	VERB
bibechana-27450	38	8	the	the	DET
bibechana-27450	38	9	transfer	transfer	NOUN
bibechana-27450	38	10	matrix	matrix	NOUN
bibechana-27450	38	11	(	(	PUNCT
bibechana-27450	38	12	t	t	NOUN
bibechana-27450	38	13	-	-	PUNCT
bibechana-27450	38	14	matrix	matrix	NOUN
bibechana-27450	38	15	)	)	PUNCT
bibechana-27450	38	16	which	which	PRON
bibechana-27450	38	17	relates	relate	VERB
bibechana-27450	38	18	the	the	DET
bibechana-27450	38	19	wave	wave	NOUN
bibechana-27450	38	20	function	function	NOUN
bibechana-27450	38	21	in	in	ADP
bibechana-27450	38	22	the	the	DET
bibechana-27450	38	23	first	first	ADJ
bibechana-27450	38	24	well	well	NOUN
bibechana-27450	38	25	of	of	ADP
bibechana-27450	38	26	the	the	DET
bibechana-27450	38	27	sl	sl	NOUN
bibechana-27450	38	28	with	with	ADP
bibechana-27450	38	29	the	the	DET
bibechana-27450	38	30	wave	wave	NOUN
bibechana-27450	38	31	function	function	NOUN
bibechana-27450	38	32	of	of	ADP
bibechana-27450	38	33	the	the	DET
bibechana-27450	38	34	last	last	ADJ
bibechana-27450	38	35	well	well	NOUN
bibechana-27450	38	36	.	.	PUNCT
bibechana-27450	39	1	in	in	ADP
bibechana-27450	39	2	this	this	DET
bibechana-27450	39	3	paper	paper	NOUN
bibechana-27450	39	4	,	,	PUNCT
bibechana-27450	39	5	we	we	PRON
bibechana-27450	39	6	derive	derive	VERB
bibechana-27450	39	7	a	a	DET
bibechana-27450	39	8	theoretical	theoretical	ADJ
bibechana-27450	39	9	formalism	formalism	NOUN
bibechana-27450	39	10	for	for	ADP
bibechana-27450	39	11	a	a	DET
bibechana-27450	39	12	general	general	ADJ
bibechana-27450	39	13	sl	sl	NOUN
bibechana-27450	39	14	,	,	PUNCT
bibechana-27450	39	15	utilizing	utilize	VERB
bibechana-27450	39	16	the	the	DET
bibechana-27450	39	17	methods	method	NOUN
bibechana-27450	39	18	of	of	ADP
bibechana-27450	39	19	t	t	NOUN
bibechana-27450	39	20	-	-	PUNCT
bibechana-27450	39	21	matrix	matrix	NOUN
bibechana-27450	39	22	.	.	PUNCT
bibechana-27450	40	1	first	first	ADV
bibechana-27450	40	2	we	we	PRON
bibechana-27450	40	3	find	find	VERB
bibechana-27450	40	4	the	the	DET
bibechana-27450	40	5	solution	solution	NOUN
bibechana-27450	40	6	of	of	ADP
bibechana-27450	40	7	the	the	DET
bibechana-27450	40	8	schrödinger	schrödinger	ADJ
bibechana-27450	40	9	equation	equation	NOUN
bibechana-27450	40	10	as	as	SCONJ
bibechana-27450	40	11	applied	apply	VERB
bibechana-27450	40	12	to	to	ADP
bibechana-27450	40	13	an	an	DET
bibechana-27450	40	14	sqw	sqw	NOUN
bibechana-27450	40	15	with	with	ADP
bibechana-27450	40	16	suitable	suitable	ADJ
bibechana-27450	40	17	boundary	boundary	ADJ
bibechana-27450	40	18	conditions	condition	NOUN
bibechana-27450	40	19	and	and	CCONJ
bibechana-27450	40	20	then	then	ADV
bibechana-27450	40	21	repeating	repeat	VERB
bibechana-27450	40	22	the	the	DET
bibechana-27450	40	23	obtained	obtain	VERB
bibechana-27450	40	24	result	result	NOUN
bibechana-27450	40	25	for	for	ADP
bibechana-27450	40	26	the	the	DET
bibechana-27450	40	27	whole	whole	ADJ
bibechana-27450	40	28	sl	sl	NOUN
bibechana-27450	40	29	system	system	NOUN
bibechana-27450	40	30	.	.	PUNCT
bibechana-27450	41	1	in	in	ADP
bibechana-27450	41	2	the	the	DET
bibechana-27450	41	3	first	first	ADJ
bibechana-27450	41	4	part	part	NOUN
bibechana-27450	41	5	of	of	ADP
bibechana-27450	41	6	section	section	NOUN
bibechana-27450	41	7	2	2	NUM
bibechana-27450	41	8	we	we	PRON
bibechana-27450	41	9	develop	develop	VERB
bibechana-27450	41	10	a	a	DET
bibechana-27450	41	11	general	general	ADJ
bibechana-27450	41	12	theory	theory	NOUN
bibechana-27450	41	13	of	of	ADP
bibechana-27450	41	14	a	a	DET
bibechana-27450	41	15	sl	sl	NOUN
bibechana-27450	41	16	and	and	CCONJ
bibechana-27450	41	17	derive	derive	VERB
bibechana-27450	41	18	t	t	NOUN
bibechana-27450	41	19	-	-	PUNCT
bibechana-27450	41	20	matrix	matrix	NOUN
bibechana-27450	41	21	by	by	ADP
bibechana-27450	41	22	finding	find	VERB
bibechana-27450	41	23	first	first	ADV
bibechana-27450	41	24	the	the	DET
bibechana-27450	41	25	solution	solution	NOUN
bibechana-27450	41	26	of	of	ADP
bibechana-27450	41	27	the	the	DET
bibechana-27450	41	28	schroedinger	schroedinger	NOUN
bibechana-27450	41	29	equation	equation	NOUN
bibechana-27450	41	30	as	as	SCONJ
bibechana-27450	41	31	applied	apply	VERB
bibechana-27450	41	32	to	to	ADP
bibechana-27450	41	33	a	a	DET
bibechana-27450	41	34	sqw	sqw	NOUN
bibechana-27450	41	35	with	with	ADP
bibechana-27450	41	36	suitable	suitable	ADJ
bibechana-27450	41	37	boundary	boundary	ADJ
bibechana-27450	41	38	conditions	condition	NOUN
bibechana-27450	41	39	and	and	CCONJ
bibechana-27450	41	40	then	then	ADV
bibechana-27450	41	41	repeating	repeat	VERB
bibechana-27450	41	42	the	the	DET
bibechana-27450	41	43	obtained	obtain	VERB
bibechana-27450	41	44	result	result	NOUN
bibechana-27450	41	45	for	for	ADP
bibechana-27450	41	46	the	the	DET
bibechana-27450	41	47	whole	whole	ADJ
bibechana-27450	41	48	sl	sl	NOUN
bibechana-27450	41	49	system	system	NOUN
bibechana-27450	41	50	.	.	PUNCT
bibechana-27450	42	1	in	in	ADP
bibechana-27450	42	2	the	the	DET
bibechana-27450	42	3	second	second	ADJ
bibechana-27450	42	4	part	part	NOUN
bibechana-27450	42	5	,	,	PUNCT
bibechana-27450	42	6	we	we	PRON
bibechana-27450	42	7	use	use	VERB
bibechana-27450	42	8	the	the	DET
bibechana-27450	42	9	t	t	NOUN
bibechana-27450	42	10	-	-	PUNCT
bibechana-27450	42	11	matrix	matrix	NOUN
bibechana-27450	42	12	method	method	NOUN
bibechana-27450	42	13	to	to	PART
bibechana-27450	42	14	find	find	VERB
bibechana-27450	42	15	solution	solution	NOUN
bibechana-27450	42	16	in	in	ADP
bibechana-27450	42	17	the	the	DET
bibechana-27450	42	18	sqw	sqw	NOUN
bibechana-27450	42	19	.	.	PUNCT
bibechana-27450	43	1	a	a	DET
bibechana-27450	43	2	sqw	sqw	NOUN
bibechana-27450	43	3	is	be	AUX
bibechana-27450	43	4	a	a	DET
bibechana-27450	43	5	four	four	NUM
bibechana-27450	43	6	well	well	NOUN
bibechana-27450	43	7	structure	structure	NOUN
bibechana-27450	43	8	bounded	bound	VERB
bibechana-27450	43	9	by	by	ADP
bibechana-27450	43	10	vacuum	vacuum	NOUN
bibechana-27450	43	11	levels	level	NOUN
bibechana-27450	43	12	at	at	ADP
bibechana-27450	43	13	the	the	DET
bibechana-27450	43	14	either	either	DET
bibechana-27450	43	15	ends	end	NOUN
bibechana-27450	43	16	in	in	ADP
bibechana-27450	43	17	the	the	DET
bibechana-27450	43	18	growth	growth	NOUN
bibechana-27450	43	19	directions	direction	NOUN
bibechana-27450	43	20	.	.	PUNCT
bibechana-27450	44	1	due	due	ADP
bibechana-27450	44	2	to	to	ADP
bibechana-27450	44	3	spatial	spatial	ADJ
bibechana-27450	44	4	symmetry	symmetry	NOUN
bibechana-27450	44	5	the	the	DET
bibechana-27450	44	6	electron	electron	NOUN
bibechana-27450	44	7	wave	wave	NOUN
bibechana-27450	44	8	function	function	NOUN
bibechana-27450	44	9	in	in	ADP
bibechana-27450	44	10	the	the	DET
bibechana-27450	44	11	system	system	NOUN
bibechana-27450	44	12	is	be	AUX
bibechana-27450	44	13	either	either	CCONJ
bibechana-27450	44	14	symmetric	symmetric	ADJ
bibechana-27450	44	15	or	or	CCONJ
bibechana-27450	44	16	anti	anti	ADJ
bibechana-27450	44	17	-	-	ADJ
bibechana-27450	44	18	symmetric	symmetric	ADJ
bibechana-27450	44	19	with	with	ADP
bibechana-27450	44	20	a	a	DET
bibechana-27450	44	21	small	small	ADJ
bibechana-27450	44	22	energy	energy	NOUN
bibechana-27450	44	23	difference	difference	NOUN
bibechana-27450	44	24	between	between	ADP
bibechana-27450	44	25	the	the	DET
bibechana-27450	44	26	levels	level	NOUN
bibechana-27450	44	27	[	[	X
bibechana-27450	44	28	16	16	NUM
bibechana-27450	44	29	]	]	PUNCT
bibechana-27450	44	30	.	.	PUNCT
bibechana-27450	45	1	to	to	PART
bibechana-27450	45	2	simplify	simplify	VERB
bibechana-27450	45	3	the	the	DET
bibechana-27450	45	4	problem	problem	NOUN
bibechana-27450	45	5	,	,	PUNCT
bibechana-27450	45	6	time	time	NOUN
bibechana-27450	45	7	evolution	evolution	NOUN
bibechana-27450	45	8	of	of	ADP
bibechana-27450	45	9	combined	combine	VERB
bibechana-27450	45	10	symmetric	symmetric	ADJ
bibechana-27450	45	11	and	and	CCONJ
bibechana-27450	45	12	anti	anti	ADJ
bibechana-27450	45	13	-	-	ADJ
bibechana-27450	45	14	symmetric	symmetric	ADJ
bibechana-27450	45	15	lowest	low	ADJ
bibechana-27450	45	16	lying	lie	VERB
bibechana-27450	45	17	state	state	NOUN
bibechana-27450	45	18	is	be	AUX
bibechana-27450	45	19	taken	take	VERB
bibechana-27450	45	20	which	which	PRON
bibechana-27450	45	21	gives	give	VERB
bibechana-27450	45	22	the	the	DET
bibechana-27450	45	23	frequency	frequency	NOUN
bibechana-27450	45	24	of	of	ADP
bibechana-27450	45	25	oscillation	oscillation	NOUN
bibechana-27450	45	26	in	in	ADP
bibechana-27450	45	27	the	the	DET
bibechana-27450	45	28	sqw	sqw	NOUN
bibechana-27450	45	29	.	.	PUNCT
bibechana-27450	46	1	the	the	DET
bibechana-27450	46	2	probability	probability	NOUN
bibechana-27450	46	3	density	density	NOUN
bibechana-27450	46	4	of	of	ADP
bibechana-27450	46	5	finding	find	VERB
bibechana-27450	46	6	a	a	DET
bibechana-27450	46	7	particle	particle	NOUN
bibechana-27450	46	8	in	in	ADP
bibechana-27450	46	9	the	the	DET
bibechana-27450	46	10	sqw	sqw	NOUN
bibechana-27450	46	11	is	be	AUX
bibechana-27450	46	12	also	also	ADV
bibechana-27450	46	13	calculated	calculate	VERB
bibechana-27450	46	14	and	and	CCONJ
bibechana-27450	46	15	shown	show	VERB
bibechana-27450	46	16	graphically	graphically	ADV
bibechana-27450	46	17	.	.	PUNCT
bibechana-27450	47	1	2	2	X
bibechana-27450	47	2	.	.	X
bibechana-27450	47	3	theoretical	theoretical	ADJ
bibechana-27450	47	4	formulation	formulation	NOUN
bibechana-27450	47	5	2.1	2.1	NUM
bibechana-27450	47	6	a	a	DET
bibechana-27450	47	7	general	general	ADJ
bibechana-27450	47	8	superlattice	superlattice	NOUN
bibechana-27450	47	9	(	(	PUNCT
bibechana-27450	47	10	sl	sl	NOUN
bibechana-27450	47	11	)	)	PUNCT
bibechana-27450	47	12	consider	consider	VERB
bibechana-27450	47	13	a	a	DET
bibechana-27450	47	14	general	general	ADJ
bibechana-27450	47	15	sl	sl	NOUN
bibechana-27450	47	16	system	system	NOUN
bibechana-27450	47	17	of	of	ADP
bibechana-27450	47	18	(	(	PUNCT
bibechana-27450	47	19	𝑛	𝑛	PROPN
bibechana-27450	47	20	+	+	NOUN
bibechana-27450	47	21	1	1	X
bibechana-27450	47	22	)	)	PUNCT
bibechana-27450	47	23	layers	layer	NOUN
bibechana-27450	47	24	having	have	VERB
bibechana-27450	47	25	𝑛/2	𝑛/2	PRON
bibechana-27450	47	26	barriers	barrier	VERB
bibechana-27450	47	27	and	and	CCONJ
bibechana-27450	47	28	(	(	PUNCT
bibechana-27450	47	29	𝑛/2	𝑛/2	PROPN
bibechana-27450	47	30	+	+	CCONJ
bibechana-27450	47	31	1	1	X
bibechana-27450	47	32	)	)	PUNCT
bibechana-27450	47	33	wells	well	NOUN
bibechana-27450	47	34	,	,	PUNCT
bibechana-27450	47	35	fig	fig	NOUN
bibechana-27450	47	36	.	.	PUNCT
bibechana-27450	48	1	1(a	1(a	NUM
bibechana-27450	48	2	)	)	PUNCT
bibechana-27450	48	3	.	.	PUNCT
bibechana-27450	49	1	we	we	PRON
bibechana-27450	49	2	explore	explore	VERB
bibechana-27450	49	3	the	the	DET
bibechana-27450	49	4	tunneling	tunneling	NOUN
bibechana-27450	49	5	of	of	ADP
bibechana-27450	49	6	electrons	electron	NOUN
bibechana-27450	49	7	through	through	ADP
bibechana-27450	49	8	a	a	DET
bibechana-27450	49	9	single	single	ADJ
bibechana-27450	49	10	barrier	barrier	NOUN
bibechana-27450	49	11	to	to	PART
bibechana-27450	49	12	find	find	VERB
bibechana-27450	49	13	the	the	DET
bibechana-27450	49	14	transfer	transfer	NOUN
bibechana-27450	49	15	coefficient	coefficient	NOUN
bibechana-27450	49	16	.	.	PUNCT
bibechana-27450	50	1	s.	s.	PROPN
bibechana-27450	50	2	shrestha	shrestha	PROPN
bibechana-27450	50	3	et	et	PROPN
bibechana-27450	51	1	al	al	PROPN
bibechana-27450	51	2	.	.	PUNCT
bibechana-27450	51	3	/	/	SYM
bibechana-27450	51	4	bibechana	bibechana	NOUN
bibechana-27450	51	5	18	18	NUM
bibechana-27450	51	6	(	(	PUNCT
bibechana-27450	51	7	1	1	NUM
bibechana-27450	51	8	)	)	PUNCT
bibechana-27450	51	9	(	(	PUNCT
bibechana-27450	51	10	2021	2021	NUM
bibechana-27450	51	11	)	)	PUNCT
bibechana-27450	51	12	91	91	NUM
bibechana-27450	51	13	-	-	SYM
bibechana-27450	51	14	99	99	NUM
bibechana-27450	51	15	93	93	NUM
bibechana-27450	51	16	schrodinger	schrodinger	NOUN
bibechana-27450	51	17	equations	equation	NOUN
bibechana-27450	51	18	for	for	ADP
bibechana-27450	51	19	an	an	DET
bibechana-27450	51	20	electron	electron	NOUN
bibechana-27450	51	21	with	with	ADP
bibechana-27450	51	22	energy𝐸	energy𝐸	PROPN
bibechana-27450	51	23	<	<	X
bibechana-27450	51	24	𝑉0	𝑉0	NOUN
bibechana-27450	51	25	,	,	PUNCT
bibechana-27450	51	26	(	(	PUNCT
bibechana-27450	51	27	v0	v0	NOUN
bibechana-27450	51	28	being	be	AUX
bibechana-27450	51	29	the	the	DET
bibechana-27450	51	30	height	height	NOUN
bibechana-27450	51	31	of	of	ADP
bibechana-27450	51	32	the	the	DET
bibechana-27450	51	33	barrier	barrier	NOUN
bibechana-27450	51	34	)	)	PUNCT
bibechana-27450	51	35	and	and	CCONJ
bibechana-27450	51	36	effective	effective	ADJ
bibechana-27450	51	37	masses	masse	NOUN
bibechana-27450	51	38	𝑚𝑤and	𝑚𝑤and	NOUN
bibechana-27450	51	39	𝑚𝑏in	𝑚𝑏in	VERB
bibechana-27450	51	40	the	the	DET
bibechana-27450	51	41	well	well	NOUN
bibechana-27450	51	42	and	and	CCONJ
bibechana-27450	51	43	in	in	ADP
bibechana-27450	51	44	the	the	DET
bibechana-27450	51	45	barrier	barrier	NOUN
bibechana-27450	51	46	regions	region	NOUN
bibechana-27450	51	47	respectively	respectively	ADV
bibechana-27450	51	48	of	of	ADP
bibechana-27450	51	49	the	the	DET
bibechana-27450	51	50	sl	sl	NOUN
bibechana-27450	51	51	are	be	AUX
bibechana-27450	51	52	:	:	PUNCT
bibechana-27450	51	53	for	for	ADP
bibechana-27450	51	54	the	the	DET
bibechana-27450	51	55	well	well	ADJ
bibechana-27450	51	56	region	region	NOUN
bibechana-27450	51	57	,	,	PUNCT
bibechana-27450	51	58	d	d	PROPN
bibechana-27450	51	59	2𝜓𝑤(z	2𝜓𝑤(z	NUM
bibechana-27450	51	60	)	)	PUNCT
bibechana-27450	51	61	dz2	dz2	NOUN
bibechana-27450	52	1	+	+	CCONJ
bibechana-27450	52	2	2𝑚𝑤e	2𝑚𝑤e	NUM
bibechana-27450	52	3	ℏ2	ℏ2	NOUN
bibechana-27450	52	4	𝜓𝑤(z)=0	𝜓𝑤(z)=0	PUNCT
bibechana-27450	52	5	(	(	PUNCT
bibechana-27450	52	6	1a	1a	NUM
bibechana-27450	52	7	)	)	PUNCT
bibechana-27450	52	8	for	for	ADP
bibechana-27450	52	9	the	the	DET
bibechana-27450	52	10	barrier	barrier	NOUN
bibechana-27450	52	11	region	region	NOUN
bibechana-27450	52	12	,	,	PUNCT
bibechana-27450	52	13	d	d	NOUN
bibechana-27450	52	14	2𝜓𝑏(z	2𝜓𝑏(z	NUM
bibechana-27450	52	15	)	)	PUNCT
bibechana-27450	52	16	dz2	dz2	NOUN
bibechana-27450	52	17	−	−	PROPN
bibechana-27450	52	18	2𝑚𝑏(𝑉0−𝐸	2𝑚𝑏(𝑉0−𝐸	NUM
bibechana-27450	52	19	)	)	PUNCT
bibechana-27450	52	20	ℏ2	ℏ2	NOUN
bibechana-27450	52	21	𝜓𝑏(z)=0	𝜓𝑏(z)=0	PROPN
bibechana-27450	52	22	(	(	PUNCT
bibechana-27450	52	23	1b	1b	NUM
bibechana-27450	52	24	)	)	PUNCT
bibechana-27450	52	25	the	the	DET
bibechana-27450	52	26	corresponding	corresponding	ADJ
bibechana-27450	52	27	wave	wave	NOUN
bibechana-27450	52	28	vectors	vector	NOUN
bibechana-27450	52	29	are	be	AUX
bibechana-27450	52	30	:	:	PUNCT
bibechana-27450	52	31	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	52	32	=	=	NOUN
bibechana-27450	52	33	√2𝑚𝑤𝐸	√2𝑚𝑤𝐸	VERB
bibechana-27450	52	34	ℏ2⁄	ℏ2⁄	NOUN
bibechana-27450	52	35	,	,	PUNCT
bibechana-27450	52	36	and𝑘𝑏	and𝑘𝑏	NOUN
bibechana-27450	52	37	=	=	SYM
bibechana-27450	52	38	√2𝑚𝑏(𝑉0	√2𝑚𝑏(𝑉0	PROPN
bibechana-27450	52	39	−	−	PROPN
bibechana-27450	52	40	𝐸	𝐸	PROPN
bibechana-27450	52	41	)	)	PUNCT
bibechana-27450	52	42	ℏ2⁄	ℏ2⁄	PROPN
bibechana-27450	52	43	.	.	PUNCT
bibechana-27450	53	1	the	the	DET
bibechana-27450	53	2	solutions	solution	NOUN
bibechana-27450	53	3	of	of	ADP
bibechana-27450	53	4	the	the	DET
bibechana-27450	53	5	equations	equation	NOUN
bibechana-27450	53	6	above	above	ADP
bibechana-27450	53	7	are	be	AUX
bibechana-27450	53	8	:	:	PUNCT
bibechana-27450	53	9	for	for	ADP
bibechana-27450	53	10	the	the	DET
bibechana-27450	53	11	well	well	ADJ
bibechana-27450	53	12	region	region	NOUN
bibechana-27450	53	13	:	:	PUNCT
bibechana-27450	53	14	𝜓𝑤(z	𝜓𝑤(z	X
bibechana-27450	53	15	=	=	PUNCT
bibechana-27450	53	16	𝐴𝑤sin(𝑘𝑤𝑧	𝐴𝑤sin(𝑘𝑤𝑧	NOUN
bibechana-27450	53	17	)	)	PUNCT
bibechana-27450	53	18	+	+	CCONJ
bibechana-27450	53	19	𝐵𝑤cos(𝑘𝑤𝑧	𝐵𝑤cos(𝑘𝑤𝑧	PROPN
bibechana-27450	53	20	)	)	PUNCT
bibechana-27450	53	21	(	(	PUNCT
bibechana-27450	53	22	2a	2a	NUM
bibechana-27450	53	23	)	)	PUNCT
bibechana-27450	53	24	for	for	ADP
bibechana-27450	53	25	the	the	DET
bibechana-27450	53	26	barrier	barrier	NOUN
bibechana-27450	53	27	region	region	NOUN
bibechana-27450	53	28	:	:	PUNCT
bibechana-27450	53	29	𝜓𝑏(z	𝜓𝑏(z	NUM
bibechana-27450	53	30	)	)	PUNCT
bibechana-27450	53	31	=	=	SYM
bibechana-27450	53	32	𝐴𝑏sinh(𝑘𝑏𝑧	𝐴𝑏sinh(𝑘𝑏𝑧	PROPN
bibechana-27450	53	33	)	)	PUNCT
bibechana-27450	53	34	+	+	CCONJ
bibechana-27450	53	35	𝐵𝑏cosh(𝑘𝑏𝑧	𝐵𝑏cosh(𝑘𝑏𝑧	PROPN
bibechana-27450	53	36	)	)	PUNCT
bibechana-27450	53	37	(	(	PUNCT
bibechana-27450	53	38	2b	2b	NUM
bibechana-27450	53	39	)	)	PUNCT
bibechana-27450	53	40	the	the	DET
bibechana-27450	53	41	applicable	applicable	ADJ
bibechana-27450	53	42	boundary	boundary	ADJ
bibechana-27450	53	43	conditions	condition	NOUN
bibechana-27450	53	44	are	be	AUX
bibechana-27450	53	45	continuity	continuity	NOUN
bibechana-27450	53	46	of	of	ADP
bibechana-27450	53	47	the	the	DET
bibechana-27450	53	48	wave	wave	NOUN
bibechana-27450	53	49	function	function	NOUN
bibechana-27450	53	50	and	and	CCONJ
bibechana-27450	53	51	equality	equality	NOUN
bibechana-27450	53	52	of	of	ADP
bibechana-27450	53	53	the	the	DET
bibechana-27450	53	54	effective	effective	ADJ
bibechana-27450	53	55	mass	mass	NOUN
bibechana-27450	53	56	-	-	PUNCT
bibechana-27450	53	57	weighted	weight	VERB
bibechana-27450	53	58	slope	slope	NOUN
bibechana-27450	53	59	of	of	ADP
bibechana-27450	53	60	the	the	DET
bibechana-27450	53	61	wave	wave	NOUN
bibechana-27450	53	62	functions	function	NOUN
bibechana-27450	53	63	(	(	PUNCT
bibechana-27450	53	64	ben	ben	PROPN
bibechana-27450	53	65	daniel	daniel	PROPN
bibechana-27450	53	66	duke	duke	PROPN
bibechana-27450	53	67	condition	condition	PROPN
bibechana-27450	53	68	)	)	PUNCT
bibechana-27450	53	69	at	at	ADP
bibechana-27450	53	70	the	the	DET
bibechana-27450	53	71	interface	interface	NOUN
bibechana-27450	53	72	[	[	X
bibechana-27450	53	73	17	17	NUM
bibechana-27450	53	74	]	]	PUNCT
bibechana-27450	53	75	.	.	PUNCT
bibechana-27450	54	1	applying	apply	VERB
bibechana-27450	54	2	this	this	PRON
bibechana-27450	54	3	for	for	ADP
bibechana-27450	54	4	the	the	DET
bibechana-27450	54	5	(	(	PUNCT
bibechana-27450	54	6	p-1)th	p-1)th	INTJ
bibechana-27450	54	7	well	well	INTJ
bibechana-27450	54	8	,	,	PUNCT
bibechana-27450	54	9	pth	pth	NOUN
bibechana-27450	54	10	barrier	barrier	NOUN
bibechana-27450	54	11	and	and	CCONJ
bibechana-27450	54	12	(	(	PUNCT
bibechana-27450	54	13	p+1)th	p+1)th	NOUN
bibechana-27450	54	14	well	well	INTJ
bibechana-27450	54	15	we	we	PRON
bibechana-27450	54	16	get	get	VERB
bibechana-27450	54	17	(	(	PUNCT
bibechana-27450	54	18	𝐴𝑝+1	𝐴𝑝+1	NOUN
bibechana-27450	54	19	𝐵𝑝+1	𝐵𝑝+1	NOUN
bibechana-27450	54	20	)	)	PUNCT
bibechana-27450	55	1	=	=	PUNCT
bibechana-27450	55	2	𝑀𝑤	𝑀𝑤	PROPN
bibechana-27450	55	3	−1(𝑧)|𝑧=𝑧𝑝	−1(𝑧)|𝑧=𝑧𝑝	PROPN
bibechana-27450	55	4	𝑀𝑏(𝑧)|𝑧=𝑧𝑝	𝑀𝑏(𝑧)|𝑧=𝑧𝑝	PROPN
bibechana-27450	56	1	𝑀𝑏	𝑀𝑏	PROPN
bibechana-27450	56	2	−1(𝑧)|	−1(𝑧)|	PROPN
bibechana-27450	56	3	𝑧=𝑧𝑝−1	𝑧=𝑧𝑝−1	PROPN
bibechana-27450	56	4	𝑀𝑤(𝑧)|𝑧=𝑧𝑝−1	𝑀𝑤(𝑧)|𝑧=𝑧𝑝−1	PROPN
bibechana-27450	56	5	(	(	PUNCT
bibechana-27450	56	6	𝐴𝑝−1	𝐴𝑝−1	PROPN
bibechana-27450	56	7	𝐵𝑝−1	𝐵𝑝−1	PROPN
bibechana-27450	56	8	)	)	PUNCT
bibechana-27450	57	1	=	=	SYM
bibechana-27450	57	2	𝑇𝑝+1←𝑝−1	𝑇𝑝+1←𝑝−1	PROPN
bibechana-27450	58	1	(	(	PUNCT
bibechana-27450	58	2	𝐴𝑝−1	𝐴𝑝−1	PROPN
bibechana-27450	58	3	𝐵𝑝−1	𝐵𝑝−1	PROPN
bibechana-27450	58	4	)	)	PUNCT
bibechana-27450	58	5	(	(	PUNCT
bibechana-27450	58	6	3	3	X
bibechana-27450	58	7	)	)	PUNCT
bibechana-27450	59	1	where	where	SCONJ
bibechana-27450	59	2	,	,	PUNCT
bibechana-27450	59	3	𝑀𝑤(𝑧)|𝑧=𝑧𝑝	𝑀𝑤(𝑧)|𝑧=𝑧𝑝	PROPN
bibechana-27450	59	4	=	=	PUNCT
bibechana-27450	59	5	[	[	PUNCT
bibechana-27450	59	6	sin(𝑘𝑤𝑧𝑝	sin(𝑘𝑤𝑧𝑝	NOUN
bibechana-27450	59	7	)	)	PUNCT
bibechana-27450	59	8	cos(𝑘𝑤𝑧𝑝	cos(𝑘𝑤𝑧𝑝	NOUN
bibechana-27450	59	9	)	)	PUNCT
bibechana-27450	59	10	(	(	PUNCT
bibechana-27450	59	11	𝑘𝑤	𝑘𝑤	X
bibechana-27450	59	12	𝑚𝑤	𝑚𝑤	PROPN
bibechana-27450	59	13	)	)	PUNCT
bibechana-27450	59	14	cos(𝑘𝑤𝑧𝑝	cos(𝑘𝑤𝑧𝑝	PROPN
bibechana-27450	59	15	)	)	PUNCT
bibechana-27450	59	16	(	(	PUNCT
bibechana-27450	59	17	−	−	PROPN
bibechana-27450	59	18	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	59	19	𝑚𝑤	𝑚𝑤	NOUN
bibechana-27450	59	20	)	)	PUNCT
bibechana-27450	59	21	sin(𝑘𝑤𝑧𝑝	sin(𝑘𝑤𝑧𝑝	NOUN
bibechana-27450	59	22	)	)	PUNCT
bibechana-27450	59	23	]	]	PUNCT
bibechana-27450	59	24	(	(	PUNCT
bibechana-27450	59	25	4a	4a	NUM
bibechana-27450	59	26	)	)	PUNCT
bibechana-27450	59	27	𝑀𝑏(𝑧)|𝑧=𝑧𝑝	𝑀𝑏(𝑧)|𝑧=𝑧𝑝	PROPN
bibechana-27450	59	28	=	=	SYM
bibechana-27450	59	29	[	[	PUNCT
bibechana-27450	59	30	sinh(𝑘𝑏𝑧𝑝	sinh(𝑘𝑏𝑧𝑝	PROPN
bibechana-27450	59	31	)	)	PUNCT
bibechana-27450	59	32	cosh(𝑘𝑏𝑧𝑝	cosh(𝑘𝑏𝑧𝑝	PROPN
bibechana-27450	59	33	)	)	PUNCT
bibechana-27450	60	1	(	(	PUNCT
bibechana-27450	60	2	𝑘𝑏	𝑘𝑏	NOUN
bibechana-27450	60	3	𝑚𝑏	𝑚𝑏	ADJ
bibechana-27450	60	4	)	)	PUNCT
bibechana-27450	60	5	cosh(𝑘𝑏𝑧𝑝	cosh(𝑘𝑏𝑧𝑝	PROPN
bibechana-27450	60	6	)	)	PUNCT
bibechana-27450	61	1	(	(	PUNCT
bibechana-27450	61	2	𝑘𝑏	𝑘𝑏	NOUN
bibechana-27450	61	3	𝑚𝑏	𝑚𝑏	ADV
bibechana-27450	61	4	)	)	PUNCT
bibechana-27450	61	5	sinh(𝑘𝑏𝑧𝑝	sinh(𝑘𝑏𝑧𝑝	PROPN
bibechana-27450	61	6	)	)	PUNCT
bibechana-27450	61	7	]	]	PUNCT
bibechana-27450	61	8	(	(	PUNCT
bibechana-27450	61	9	4b	4b	X
bibechana-27450	61	10	)	)	PUNCT
bibechana-27450	61	11	and	and	CCONJ
bibechana-27450	61	12	𝑇𝑝+1←𝑝−1	𝑇𝑝+1←𝑝−1	NOUN
bibechana-27450	61	13	=	=	PUNCT
bibechana-27450	62	1	𝑀𝑤	𝑀𝑤	PROPN
bibechana-27450	62	2	−1(𝑧)|𝑧=𝑧𝑝	−1(𝑧)|𝑧=𝑧𝑝	PROPN
bibechana-27450	62	3	𝑀𝑏(𝑧)|𝑧=𝑧𝑝	𝑀𝑏(𝑧)|𝑧=𝑧𝑝	PROPN
bibechana-27450	63	1	𝑀𝑏	𝑀𝑏	PROPN
bibechana-27450	63	2	−1(𝑧)|𝑧=𝑧𝑝−1	−1(𝑧)|𝑧=𝑧𝑝−1	NOUN
bibechana-27450	63	3	𝑀𝑤(𝑧)|𝑧=𝑧𝑝−1	𝑀𝑤(𝑧)|𝑧=𝑧𝑝−1	NUM
bibechana-27450	63	4	(	(	PUNCT
bibechana-27450	63	5	5	5	NUM
bibechana-27450	63	6	)	)	PUNCT
bibechana-27450	63	7	𝑇𝑝+1←𝑝−1	𝑇𝑝+1←𝑝−1	PUNCT
bibechana-27450	63	8	is	be	AUX
bibechana-27450	63	9	the	the	DET
bibechana-27450	63	10	transfer	transfer	NOUN
bibechana-27450	63	11	matrix	matrix	NOUN
bibechana-27450	63	12	,	,	PUNCT
bibechana-27450	63	13	which	which	PRON
bibechana-27450	63	14	is	be	AUX
bibechana-27450	63	15	a	a	DET
bibechana-27450	63	16	product	product	NOUN
bibechana-27450	63	17	of	of	ADP
bibechana-27450	63	18	four	four	NUM
bibechana-27450	63	19	matrices	matrix	NOUN
bibechana-27450	63	20	and	and	CCONJ
bibechana-27450	63	21	connects	connect	VERB
bibechana-27450	63	22	the	the	DET
bibechana-27450	63	23	coefficients	coefficient	NOUN
bibechana-27450	63	24	of	of	ADP
bibechana-27450	63	25	the	the	DET
bibechana-27450	63	26	wave	wave	NOUN
bibechana-27450	63	27	functions	function	NOUN
bibechana-27450	63	28	of	of	ADP
bibechana-27450	63	29	the	the	DET
bibechana-27450	63	30	(	(	PUNCT
bibechana-27450	63	31	𝑝	𝑝	NOUN
bibechana-27450	63	32	+	+	NUM
bibechana-27450	63	33	1)𝑡ℎand	1)𝑡ℎand	NUM
bibechana-27450	63	34	(	(	PUNCT
bibechana-27450	63	35	𝑝	𝑝	PROPN
bibechana-27450	63	36	−	−	PROPN
bibechana-27450	63	37	1)𝑡ℎwell	1)𝑡ℎwell	NUM
bibechana-27450	63	38	.	.	PUNCT
bibechana-27450	64	1	the	the	DET
bibechana-27450	64	2	idea	idea	NOUN
bibechana-27450	64	3	of	of	ADP
bibechana-27450	64	4	transfer	transfer	NOUN
bibechana-27450	64	5	matrix	matrix	NOUN
bibechana-27450	64	6	can	can	AUX
bibechana-27450	64	7	be	be	AUX
bibechana-27450	64	8	extended	extend	VERB
bibechana-27450	64	9	to	to	PART
bibechana-27450	64	10	envelope	envelope	VERB
bibechana-27450	64	11	the	the	DET
bibechana-27450	64	12	whole	whole	ADJ
bibechana-27450	64	13	sl	sl	NOUN
bibechana-27450	64	14	system	system	NOUN
bibechana-27450	64	15	.	.	PUNCT
bibechana-27450	65	1	therefore	therefore	ADV
bibechana-27450	65	2	,	,	PUNCT
bibechana-27450	65	3	(	(	PUNCT
bibechana-27450	65	4	𝐴2𝑛+1	𝐴2𝑛+1	PROPN
bibechana-27450	65	5	𝐵2𝑛+1	𝐵2𝑛+1	PROPN
bibechana-27450	65	6	)	)	PUNCT
bibechana-27450	66	1	=	=	PUNCT
bibechana-27450	66	2	𝑇(2𝑛+1)←1	𝑇(2𝑛+1)←1	PROPN
bibechana-27450	67	1	(	(	PUNCT
bibechana-27450	67	2	𝐴1	𝐴1	PROPN
bibechana-27450	67	3	𝐵1	𝐵1	PROPN
bibechana-27450	67	4	)	)	PUNCT
bibechana-27450	67	5	(	(	PUNCT
bibechana-27450	67	6	6	6	X
bibechana-27450	67	7	)	)	PUNCT
bibechana-27450	67	8	2.2	2.2	NUM
bibechana-27450	67	9	symmetric	symmetric	NOUN
bibechana-27450	67	10	quadruple	quadruple	NOUN
bibechana-27450	67	11	well	well	ADV
bibechana-27450	67	12	(	(	PUNCT
bibechana-27450	67	13	sqw	sqw	NOUN
bibechana-27450	67	14	)	)	PUNCT
bibechana-27450	67	15	consider	consider	VERB
bibechana-27450	67	16	a	a	DET
bibechana-27450	67	17	sqw	sqw	NOUN
bibechana-27450	67	18	,	,	PUNCT
bibechana-27450	67	19	a	a	DET
bibechana-27450	67	20	system	system	NOUN
bibechana-27450	67	21	formed	form	VERB
bibechana-27450	67	22	by	by	ADP
bibechana-27450	67	23	four	four	NUM
bibechana-27450	67	24	alternate	alternate	ADJ
bibechana-27450	67	25	wells	well	NOUN
bibechana-27450	67	26	and	and	CCONJ
bibechana-27450	67	27	three	three	NUM
bibechana-27450	67	28	barriers	barrier	NOUN
bibechana-27450	67	29	between	between	ADP
bibechana-27450	67	30	them	they	PRON
bibechana-27450	67	31	using	use	VERB
bibechana-27450	67	32	,	,	PUNCT
bibechana-27450	67	33	for	for	ADP
bibechana-27450	67	34	example	example	NOUN
bibechana-27450	67	35	,	,	PUNCT
bibechana-27450	67	36	alternating	alternate	VERB
bibechana-27450	67	37	layers	layer	NOUN
bibechana-27450	67	38	of	of	ADP
bibechana-27450	67	39	gaas	gaas	PROPN
bibechana-27450	67	40	and	and	CCONJ
bibechana-27450	67	41	al0.3ga0.7as	al0.3ga0.7as	PROPN
bibechana-27450	67	42	in	in	ADP
bibechana-27450	67	43	such	such	DET
bibechana-27450	67	44	a	a	DET
bibechana-27450	67	45	way	way	NOUN
bibechana-27450	67	46	that	that	PRON
bibechana-27450	67	47	the	the	DET
bibechana-27450	67	48	central	central	ADJ
bibechana-27450	67	49	barrier	barrier	NOUN
bibechana-27450	67	50	divides	divide	VERB
bibechana-27450	67	51	the	the	DET
bibechana-27450	67	52	system	system	NOUN
bibechana-27450	67	53	into	into	ADP
bibechana-27450	67	54	symmetric	symmetric	ADJ
bibechana-27450	67	55	left	leave	VERB
bibechana-27450	67	56	and	and	CCONJ
bibechana-27450	67	57	right	right	ADJ
bibechana-27450	67	58	halves	half	NOUN
bibechana-27450	67	59	as	as	SCONJ
bibechana-27450	67	60	shown	show	VERB
bibechana-27450	67	61	in	in	ADP
bibechana-27450	67	62	fig	fig	NOUN
bibechana-27450	67	63	.	.	PUNCT
bibechana-27450	68	1	1(b	1(b	NUM
bibechana-27450	68	2	)	)	PUNCT
bibechana-27450	68	3	.	.	PUNCT
bibechana-27450	69	1	r	r	NOUN
bibechana-27450	69	2	and	and	CCONJ
bibechana-27450	69	3	l	l	NOUN
bibechana-27450	69	4	in	in	ADP
bibechana-27450	69	5	the	the	DET
bibechana-27450	69	6	fig	fig	NOUN
bibechana-27450	69	7	.	.	PUNCT
bibechana-27450	70	1	1(b	1(b	NUM
bibechana-27450	70	2	)	)	PUNCT
bibechana-27450	70	3	are	be	AUX
bibechana-27450	70	4	the	the	DET
bibechana-27450	70	5	extreme	extreme	ADJ
bibechana-27450	70	6	right	right	NOUN
bibechana-27450	70	7	and	and	CCONJ
bibechana-27450	70	8	extreme	extreme	ADJ
bibechana-27450	70	9	left	leave	VERB
bibechana-27450	70	10	high	high	ADJ
bibechana-27450	70	11	potential	potential	ADJ
bibechana-27450	70	12	barriers	barrier	NOUN
bibechana-27450	70	13	going	go	VERB
bibechana-27450	70	14	into	into	ADP
bibechana-27450	70	15	vacuum	vacuum	NOUN
bibechana-27450	70	16	level	level	NOUN
bibechana-27450	70	17	.	.	PUNCT
bibechana-27450	71	1	the	the	DET
bibechana-27450	71	2	wave	wave	NOUN
bibechana-27450	71	3	functions	function	NOUN
bibechana-27450	71	4	in	in	ADP
bibechana-27450	71	5	r	r	NOUN
bibechana-27450	71	6	and	and	CCONJ
bibechana-27450	71	7	l	l	NOUN
bibechana-27450	71	8	regions	region	NOUN
bibechana-27450	71	9	have	have	VERB
bibechana-27450	71	10	a	a	DET
bibechana-27450	71	11	single	single	ADJ
bibechana-27450	71	12	exponentially	exponentially	ADV
bibechana-27450	71	13	decreasing	decrease	VERB
bibechana-27450	71	14	term	term	NOUN
bibechana-27450	71	15	.	.	PUNCT
bibechana-27450	72	1	the	the	DET
bibechana-27450	72	2	width	width	NOUN
bibechana-27450	72	3	of	of	ADP
bibechana-27450	72	4	the	the	DET
bibechana-27450	72	5	barrier	barrier	NOUN
bibechana-27450	72	6	and	and	CCONJ
bibechana-27450	72	7	the	the	DET
bibechana-27450	72	8	wells	well	NOUN
bibechana-27450	72	9	are	be	AUX
bibechana-27450	72	10	taken	take	VERB
bibechana-27450	72	11	to	to	PART
bibechana-27450	72	12	be	be	AUX
bibechana-27450	72	13	𝑙𝑏and	𝑙𝑏and	NOUN
bibechana-27450	72	14	𝑙𝑤	𝑙𝑤	VERB
bibechana-27450	72	15	respectively	respectively	ADV
bibechana-27450	72	16	.	.	PUNCT
bibechana-27450	73	1	the	the	DET
bibechana-27450	73	2	odd	odd	ADJ
bibechana-27450	73	3	greek	greek	ADJ
bibechana-27450	73	4	numerals	numeral	NOUN
bibechana-27450	73	5	as	as	ADP
bibechana-27450	73	6	subscript	subscript	NOUN
bibechana-27450	73	7	on	on	ADP
bibechana-27450	73	8	𝜓	𝜓	PROPN
bibechana-27450	73	9	represent	represent	NOUN
bibechana-27450	73	10	,	,	PUNCT
bibechana-27450	73	11	from	from	ADP
bibechana-27450	73	12	right	right	ADJ
bibechana-27450	73	13	,	,	PUNCT
bibechana-27450	73	14	the	the	DET
bibechana-27450	73	15	four	four	NUM
bibechana-27450	73	16	wells	well	NOUN
bibechana-27450	73	17	and	and	CCONJ
bibechana-27450	73	18	even	even	ADV
bibechana-27450	73	19	numbered	number	VERB
bibechana-27450	73	20	subscripts	subscript	NOUN
bibechana-27450	73	21	give	give	VERB
bibechana-27450	73	22	the	the	DET
bibechana-27450	73	23	three	three	NUM
bibechana-27450	73	24	barriers	barrier	NOUN
bibechana-27450	73	25	.	.	PUNCT
bibechana-27450	74	1	since	since	SCONJ
bibechana-27450	74	2	the	the	DET
bibechana-27450	74	3	potential	potential	NOUN
bibechana-27450	74	4	is	be	AUX
bibechana-27450	74	5	symmetric	symmetric	ADJ
bibechana-27450	74	6	,	,	PUNCT
bibechana-27450	74	7	the	the	DET
bibechana-27450	74	8	solutions	solution	NOUN
bibechana-27450	74	9	of	of	ADP
bibechana-27450	74	10	the	the	DET
bibechana-27450	74	11	schroedinger	schroedinger	NOUN
bibechana-27450	74	12	equations	equation	NOUN
bibechana-27450	74	13	2(a	2(a	NUM
bibechana-27450	74	14	)	)	PUNCT
bibechana-27450	74	15	and	and	CCONJ
bibechana-27450	74	16	2(b	2(b	NUM
bibechana-27450	74	17	)	)	PUNCT
bibechana-27450	74	18	separate	separate	ADJ
bibechana-27450	74	19	into	into	ADP
bibechana-27450	74	20	symmetric	symmetric	ADJ
bibechana-27450	74	21	and	and	CCONJ
bibechana-27450	74	22	anti	anti	ADJ
bibechana-27450	74	23	-	-	ADJ
bibechana-27450	74	24	symmetric	symmetric	ADJ
bibechana-27450	74	25	wave	wave	NOUN
bibechana-27450	74	26	functions	function	NOUN
bibechana-27450	74	27	.	.	PUNCT
bibechana-27450	75	1	symmetric	symmetric	ADJ
bibechana-27450	75	2	solutions	solution	NOUN
bibechana-27450	75	3	are	be	AUX
bibechana-27450	75	4	given	give	VERB
bibechana-27450	75	5	by	by	ADP
bibechana-27450	75	6	𝜓𝑅(𝑧	𝜓𝑅(𝑧	NUM
bibechana-27450	75	7	)	)	PUNCT
bibechana-27450	76	1	=	=	VERB
bibechana-27450	76	2	𝐷𝑅𝑒−𝑘𝐷𝑧	𝐷𝑅𝑒−𝑘𝐷𝑧	VERB
bibechana-27450	76	3	𝜓𝑉𝐼𝐼	𝜓𝑉𝐼𝐼	ADV
bibechana-27450	76	4	𝑠	𝑠	PROPN
bibechana-27450	76	5	(	(	PUNCT
bibechana-27450	76	6	𝑧	𝑧	NOUN
bibechana-27450	76	7	)	)	PUNCT
bibechana-27450	76	8	=	=	SYM
bibechana-27450	76	9	𝐴7	𝐴7	PROPN
bibechana-27450	76	10	𝑠	𝑠	PROPN
bibechana-27450	76	11	sin(𝑘𝑤𝑧	sin(𝑘𝑤𝑧	NOUN
bibechana-27450	76	12	)	)	PUNCT
bibechana-27450	77	1	+	+	CCONJ
bibechana-27450	77	2	𝐵7	𝐵7	PROPN
bibechana-27450	77	3	𝑠	𝑠	X
bibechana-27450	77	4	cos(𝑘𝑤𝑧	cos(𝑘𝑤𝑧	NOUN
bibechana-27450	77	5	)	)	PUNCT
bibechana-27450	77	6	𝜓𝑉𝐼	𝜓𝑉𝐼	PROPN
bibechana-27450	77	7	𝑠	𝑠	PROPN
bibechana-27450	77	8	(	(	PUNCT
bibechana-27450	77	9	𝑧	𝑧	NOUN
bibechana-27450	77	10	)	)	PUNCT
bibechana-27450	77	11	=	=	SYM
bibechana-27450	77	12	𝐴6	𝐴6	PROPN
bibechana-27450	77	13	𝑠	𝑠	PROPN
bibechana-27450	77	14	sinh(𝑘𝑏𝑧	sinh(𝑘𝑏𝑧	PROPN
bibechana-27450	77	15	)	)	PUNCT
bibechana-27450	78	1	+	+	NUM
bibechana-27450	78	2	𝐵6	𝐵6	NOUN
bibechana-27450	78	3	𝑠	𝑠	PROPN
bibechana-27450	78	4	cosh(𝑘𝑏𝑧	cosh(𝑘𝑏𝑧	PROPN
bibechana-27450	78	5	)	)	PUNCT
bibechana-27450	78	6	(	(	PUNCT
bibechana-27450	78	7	7	7	NUM
bibechana-27450	78	8	)	)	PUNCT
bibechana-27450	78	9	𝜓𝑉	𝜓𝑉	NOUN
bibechana-27450	78	10	𝑠	𝑠	PROPN
bibechana-27450	78	11	(	(	PUNCT
bibechana-27450	78	12	𝑧	𝑧	NOUN
bibechana-27450	78	13	)	)	PUNCT
bibechana-27450	78	14	=	=	SYM
bibechana-27450	78	15	𝐴5	𝐴5	NOUN
bibechana-27450	78	16	𝑠	𝑠	PROPN
bibechana-27450	78	17	sin(𝑘𝑤𝑧	sin(𝑘𝑤𝑧	NOUN
bibechana-27450	78	18	)	)	PUNCT
bibechana-27450	79	1	+	+	CCONJ
bibechana-27450	79	2	𝐵5	𝐵5	VERB
bibechana-27450	79	3	𝑠	𝑠	PRON
bibechana-27450	79	4	cos(𝑘𝑤𝑧	cos(𝑘𝑤𝑧	NOUN
bibechana-27450	79	5	)	)	PUNCT
bibechana-27450	79	6	𝜓𝐼𝑉	𝜓𝐼𝑉	NOUN
bibechana-27450	79	7	𝑠	𝑠	PROPN
bibechana-27450	79	8	(	(	PUNCT
bibechana-27450	79	9	𝑧	𝑧	NOUN
bibechana-27450	79	10	)	)	PUNCT
bibechana-27450	79	11	=	=	SYM
bibechana-27450	80	1	𝐶𝑠	𝐶𝑠	PROPN
bibechana-27450	80	2	cosh(𝑘𝑏𝑧	cosh(𝑘𝑏𝑧	NOUN
bibechana-27450	80	3	)	)	PUNCT
bibechana-27450	80	4	here	here	ADV
bibechana-27450	80	5	,	,	PUNCT
bibechana-27450	80	6	𝑘𝑤and	𝑘𝑤and	NOUN
bibechana-27450	80	7	𝑘𝑏were	𝑘𝑏were	NOUN
bibechana-27450	80	8	defined	define	VERB
bibechana-27450	80	9	earlier	early	ADV
bibechana-27450	80	10	and	and	CCONJ
bibechana-27450	80	11	𝑘𝐷	𝑘𝐷	NOUN
bibechana-27450	80	12	=	=	NOUN
bibechana-27450	81	1	√2𝑚𝑤(𝑉𝐷	√2𝑚𝑤(𝑉𝐷	PROPN
bibechana-27450	81	2	−	−	PROPN
bibechana-27450	81	3	𝐸	𝐸	PROPN
bibechana-27450	81	4	)	)	PUNCT
bibechana-27450	81	5	ℏ2⁄	ℏ2⁄	PROPN
bibechana-27450	81	6	,	,	PUNCT
bibechana-27450	81	7	where	where	SCONJ
bibechana-27450	81	8	𝑉𝐷is	𝑉𝐷is	PROPN
bibechana-27450	81	9	the	the	DET
bibechana-27450	81	10	vacuum	vacuum	NOUN
bibechana-27450	81	11	level	level	NOUN
bibechana-27450	81	12	.	.	PUNCT
bibechana-27450	82	1	the	the	DET
bibechana-27450	82	2	symmetric	symmetric	ADJ
bibechana-27450	82	3	solutions	solution	NOUN
bibechana-27450	82	4	𝜓𝐼𝐼𝐼	𝜓𝐼𝐼𝐼	NOUN
bibechana-27450	82	5	𝑠	𝑠	PROPN
bibechana-27450	82	6	(	(	PUNCT
bibechana-27450	82	7	𝑧	𝑧	NOUN
bibechana-27450	82	8	)	)	PUNCT
bibechana-27450	82	9	,	,	PUNCT
bibechana-27450	82	10	𝜓𝐼𝐼	𝜓𝐼𝐼	PROPN
bibechana-27450	82	11	𝑠	𝑠	X
bibechana-27450	82	12	(	(	PUNCT
bibechana-27450	82	13	𝑧),𝜓𝐼	𝑧),𝜓𝐼	X
bibechana-27450	82	14	𝑠(𝑧	𝑠(𝑧	X
bibechana-27450	82	15	)	)	PUNCT
bibechana-27450	82	16	and	and	CCONJ
bibechana-27450	82	17	𝜓𝐿	𝜓𝐿	NOUN
bibechana-27450	82	18	𝑠(𝑧)are	𝑠(𝑧)are	ADV
bibechana-27450	82	19	obtained	obtain	VERB
bibechana-27450	82	20	by	by	ADP
bibechana-27450	82	21	changing	change	VERB
bibechana-27450	82	22	𝑧	𝑧	ADP
bibechana-27450	82	23	to	to	ADP
bibechana-27450	82	24	–	–	PUNCT
bibechana-27450	82	25	𝑧	𝑧	NOUN
bibechana-27450	82	26	in	in	ADP
bibechana-27450	82	27	𝜓𝑉	𝜓𝑉	PROPN
bibechana-27450	82	28	𝑠	𝑠	PROPN
bibechana-27450	82	29	(	(	PUNCT
bibechana-27450	82	30	𝑧	𝑧	NOUN
bibechana-27450	82	31	)	)	PUNCT
bibechana-27450	82	32	,	,	PUNCT
bibechana-27450	82	33	𝜓𝑉𝐼	𝜓𝑉𝐼	PROPN
bibechana-27450	82	34	𝑠	𝑠	PROPN
bibechana-27450	82	35	(	(	PUNCT
bibechana-27450	82	36	𝑧	𝑧	NOUN
bibechana-27450	82	37	)	)	PUNCT
bibechana-27450	82	38	,	,	PUNCT
bibechana-27450	82	39	𝜓𝑉𝐼𝐼	𝜓𝑉𝐼𝐼	ADV
bibechana-27450	82	40	𝑠	𝑠	X
bibechana-27450	82	41	(	(	PUNCT
bibechana-27450	82	42	𝑧)and	𝑧)and	NOUN
bibechana-27450	82	43	𝜓𝑅	𝜓𝑅	PROPN
bibechana-27450	82	44	𝑠	𝑠	PROPN
bibechana-27450	82	45	(	(	PUNCT
bibechana-27450	82	46	𝑧	𝑧	NOUN
bibechana-27450	82	47	)	)	PUNCT
bibechana-27450	82	48	respectively	respectively	ADV
bibechana-27450	82	49	and	and	CCONJ
bibechana-27450	82	50	without	without	ADP
bibechana-27450	82	51	changing	change	VERB
bibechana-27450	82	52	the	the	DET
bibechana-27450	82	53	sign	sign	NOUN
bibechana-27450	82	54	of	of	ADP
bibechana-27450	82	55	𝜓(𝑧	𝜓(𝑧	NOUN
bibechana-27450	82	56	)	)	PUNCT
bibechana-27450	82	57	.	.	PUNCT
bibechana-27450	83	1	the	the	DET
bibechana-27450	83	2	anti	anti	ADJ
bibechana-27450	83	3	-	-	ADJ
bibechana-27450	83	4	symmetric	symmetric	ADJ
bibechana-27450	83	5	solutions	solution	NOUN
bibechana-27450	83	6	are	be	AUX
bibechana-27450	83	7	obtained	obtain	VERB
bibechana-27450	83	8	in	in	ADP
bibechana-27450	83	9	an	an	DET
bibechana-27450	83	10	analogous	analogous	ADJ
bibechana-27450	83	11	manner	manner	NOUN
bibechana-27450	83	12	and	and	CCONJ
bibechana-27450	83	13	are	be	AUX
bibechana-27450	83	14	denoted	denote	VERB
bibechana-27450	83	15	by	by	ADP
bibechana-27450	83	16	superscript	superscript	PROPN
bibechana-27450	83	17	‘	'	PUNCT
bibechana-27450	83	18	a	a	PRON
bibechana-27450	83	19	’	'	PUNCT
bibechana-27450	83	20	.	.	PUNCT
bibechana-27450	84	1	the	the	DET
bibechana-27450	84	2	solution	solution	NOUN
bibechana-27450	84	3	in	in	ADP
bibechana-27450	84	4	the	the	DET
bibechana-27450	84	5	central	central	ADJ
bibechana-27450	84	6	barrier	barrier	NOUN
bibechana-27450	84	7	is	be	AUX
bibechana-27450	84	8	given	give	VERB
bibechana-27450	84	9	by	by	ADP
bibechana-27450	84	10	a	a	DET
bibechana-27450	84	11	sinh	sinh	NOUN
bibechana-27450	84	12	rather	rather	ADV
bibechana-27450	84	13	than	than	ADP
bibechana-27450	84	14	a	a	DET
bibechana-27450	84	15	cosh	cosh	NOUN
bibechana-27450	84	16	.	.	PUNCT
bibechana-27450	85	1	change	change	NOUN
bibechana-27450	85	2	of	of	ADP
bibechana-27450	85	3	sign	sign	NOUN
bibechana-27450	85	4	of	of	ADP
bibechana-27450	85	5	𝑧	𝑧	PROPN
bibechana-27450	85	6	is	be	AUX
bibechana-27450	85	7	accompanied	accompany	VERB
bibechana-27450	85	8	by	by	ADP
bibechana-27450	85	9	simultaneous	simultaneous	ADJ
bibechana-27450	85	10	change	change	NOUN
bibechana-27450	85	11	in	in	ADP
bibechana-27450	85	12	the	the	DET
bibechana-27450	85	13	sign	sign	NOUN
bibechana-27450	85	14	of	of	ADP
bibechana-27450	85	15	the	the	DET
bibechana-27450	85	16	corresponding	corresponding	ADJ
bibechana-27450	85	17	𝜓.	𝜓.	PROPN
bibechana-27450	85	18	s.	s.	PROPN
bibechana-27450	85	19	shrestha	shrestha	PROPN
bibechana-27450	85	20	et	et	PROPN
bibechana-27450	86	1	al	al	PROPN
bibechana-27450	86	2	.	.	PUNCT
bibechana-27450	86	3	/	/	SYM
bibechana-27450	86	4	bibechana	bibechana	NOUN
bibechana-27450	86	5	18	18	NUM
bibechana-27450	86	6	(	(	PUNCT
bibechana-27450	86	7	1	1	NUM
bibechana-27450	86	8	)	)	PUNCT
bibechana-27450	86	9	(	(	PUNCT
bibechana-27450	86	10	2021	2021	NUM
bibechana-27450	86	11	)	)	PUNCT
bibechana-27450	86	12	91	91	NUM
bibechana-27450	86	13	-	-	SYM
bibechana-27450	86	14	99	99	NUM
bibechana-27450	86	15	94	94	NUM
bibechana-27450	86	16	fig	fig	NOUN
bibechana-27450	86	17	.	.	PUNCT
bibechana-27450	87	1	1	1	NUM
bibechana-27450	87	2	:	:	PUNCT
bibechana-27450	87	3	(	(	PUNCT
bibechana-27450	87	4	a	a	X
bibechana-27450	87	5	)	)	PUNCT
bibechana-27450	87	6	rectangular	rectangular	ADJ
bibechana-27450	87	7	superlattice	superlattice	NOUN
bibechana-27450	87	8	of	of	ADP
bibechana-27450	87	9	equal	equal	ADJ
bibechana-27450	87	10	barrier	barrier	NOUN
bibechana-27450	87	11	height	height	NOUN
bibechana-27450	87	12	vo	vo	NOUN
bibechana-27450	87	13	.	.	PUNCT
bibechana-27450	88	1	(	(	PUNCT
bibechana-27450	88	2	b	b	X
bibechana-27450	88	3	)	)	PUNCT
bibechana-27450	88	4	spatially	spatially	ADV
bibechana-27450	88	5	symmetric	symmetric	ADJ
bibechana-27450	88	6	quadruple	quadruple	PROPN
bibechana-27450	89	1	well	well	ADV
bibechana-27450	89	2	(	(	PUNCT
bibechana-27450	89	3	sqw	sqw	NOUN
bibechana-27450	89	4	)	)	PUNCT
bibechana-27450	89	5	with	with	ADP
bibechana-27450	89	6	a	a	DET
bibechana-27450	89	7	barrier	barrier	NOUN
bibechana-27450	89	8	in	in	ADP
bibechana-27450	89	9	the	the	DET
bibechana-27450	89	10	center	center	NOUN
bibechana-27450	89	11	.	.	PUNCT
bibechana-27450	90	1	the	the	DET
bibechana-27450	90	2	boundary	boundary	ADJ
bibechana-27450	90	3	conditions	condition	NOUN
bibechana-27450	90	4	are	be	AUX
bibechana-27450	90	5	applied	apply	VERB
bibechana-27450	90	6	at	at	ADP
bibechana-27450	90	7	each	each	DET
bibechana-27450	90	8	point	point	NOUN
bibechana-27450	90	9	separating	separate	VERB
bibechana-27450	90	10	a	a	DET
bibechana-27450	90	11	barrier	barrier	NOUN
bibechana-27450	90	12	and	and	CCONJ
bibechana-27450	90	13	a	a	DET
bibechana-27450	90	14	well	well	NOUN
bibechana-27450	90	15	and	and	CCONJ
bibechana-27450	90	16	also	also	ADV
bibechana-27450	90	17	at	at	ADP
bibechana-27450	90	18	r	r	NOUN
bibechana-27450	90	19	and	and	CCONJ
bibechana-27450	90	20	at	at	ADP
bibechana-27450	90	21	l	l	NOUN
bibechana-27450	90	22	to	to	PART
bibechana-27450	90	23	obtain	obtain	VERB
bibechana-27450	90	24	expressions	expression	NOUN
bibechana-27450	90	25	for	for	ADP
bibechana-27450	90	26	the	the	DET
bibechana-27450	90	27	energy	energy	NOUN
bibechana-27450	90	28	levels	level	NOUN
bibechana-27450	90	29	corresponding	correspond	VERB
bibechana-27450	90	30	to	to	ADP
bibechana-27450	90	31	the	the	DET
bibechana-27450	90	32	symmetric	symmetric	ADJ
bibechana-27450	90	33	and	and	CCONJ
bibechana-27450	90	34	antisymmetric	antisymmetric	ADJ
bibechana-27450	90	35	states	state	NOUN
bibechana-27450	90	36	.	.	PUNCT
bibechana-27450	91	1	all	all	DET
bibechana-27450	91	2	the	the	DET
bibechana-27450	91	3	coefficients	coefficient	NOUN
bibechana-27450	91	4	in	in	ADP
bibechana-27450	91	5	different	different	ADJ
bibechana-27450	91	6	regions	region	NOUN
bibechana-27450	91	7	can	can	AUX
bibechana-27450	91	8	be	be	AUX
bibechana-27450	91	9	related	relate	VERB
bibechana-27450	91	10	to	to	ADP
bibechana-27450	91	11	the	the	DET
bibechana-27450	91	12	coefficient	coefficient	NOUN
bibechana-27450	91	13	𝐶𝑠or𝐶𝑎	𝐶𝑠or𝐶𝑎	PROPN
bibechana-27450	91	14	in	in	ADP
bibechana-27450	91	15	the	the	DET
bibechana-27450	91	16	central	central	ADJ
bibechana-27450	91	17	region	region	NOUN
bibechana-27450	91	18	(	(	PUNCT
bibechana-27450	91	19	barrier	barrier	NOUN
bibechana-27450	91	20	region	region	NOUN
bibechana-27450	91	21	iv	iv	NOUN
bibechana-27450	91	22	)	)	PUNCT
bibechana-27450	91	23	.	.	PUNCT
bibechana-27450	92	1	after	after	ADP
bibechana-27450	92	2	some	some	DET
bibechana-27450	92	3	tedious	tedious	ADJ
bibechana-27450	92	4	algebra	algebra	NOUN
bibechana-27450	92	5	we	we	PRON
bibechana-27450	92	6	get	get	VERB
bibechana-27450	92	7	tan(𝑘𝑤	tan(𝑘𝑤	NUM
bibechana-27450	92	8	𝑠	𝑠	PRON
bibechana-27450	92	9	𝑧4	𝑧4	NUM
bibechana-27450	92	10	)	)	PUNCT
bibechana-27450	92	11	=	=	SYM
bibechana-27450	92	12	(	(	PUNCT
bibechana-27450	92	13	−	−	PROPN
bibechana-27450	92	14	𝐵1	𝐵1	NOUN
bibechana-27450	92	15	𝑠	𝑠	PROPN
bibechana-27450	92	16	𝐴1	𝐴1	PROPN
bibechana-27450	92	17	𝑠	𝑠	X
bibechana-27450	92	18	)	)	PUNCT
bibechana-27450	93	1	[	[	X
bibechana-27450	93	2	1	1	NUM
bibechana-27450	93	3	+	+	NOUN
bibechana-27450	93	4	(	(	PUNCT
bibechana-27450	93	5	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	93	6	𝑠	𝑠	PROPN
bibechana-27450	93	7	𝑘𝐷	𝑘𝐷	PROPN
bibechana-27450	93	8	)	)	PUNCT
bibechana-27450	93	9	(	(	PUNCT
bibechana-27450	93	10	𝑚𝑏	𝑚𝑏	NOUN
bibechana-27450	93	11	𝑚𝑤	𝑚𝑤	ADP
bibechana-27450	93	12	)	)	PUNCT
bibechana-27450	93	13	𝐴1	𝐴1	PROPN
bibechana-27450	94	1	𝑠	𝑠	INTJ
bibechana-27450	94	2	𝐵1	𝐵1	NOUN
bibechana-27450	94	3	𝑠	𝑠	X
bibechana-27450	94	4	]	]	PUNCT
bibechana-27450	95	1	[	[	X
bibechana-27450	95	2	1−	1−	NUM
bibechana-27450	95	3	(	(	PUNCT
bibechana-27450	95	4	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	95	5	𝑠	𝑠	PROPN
bibechana-27450	95	6	𝑘𝐷	𝑘𝐷	PROPN
bibechana-27450	95	7	)	)	PUNCT
bibechana-27450	95	8	(	(	PUNCT
bibechana-27450	95	9	𝑚𝑏	𝑚𝑏	NOUN
bibechana-27450	95	10	𝑚𝑤	𝑚𝑤	ADP
bibechana-27450	95	11	)	)	PUNCT
bibechana-27450	95	12	𝐵1	𝐵1	NOUN
bibechana-27450	96	1	𝑠	𝑠	PROPN
bibechana-27450	96	2	𝐴1	𝐴1	PROPN
bibechana-27450	96	3	𝑠	𝑠	X
bibechana-27450	96	4	]	]	X
bibechana-27450	97	1	=	=	PUNCT
bibechana-27450	98	1	(	(	PUNCT
bibechana-27450	98	2	−	−	PROPN
bibechana-27450	98	3	𝐵1	𝐵1	NOUN
bibechana-27450	98	4	𝑠	𝑠	PROPN
bibechana-27450	98	5	𝐴1	𝐴1	PROPN
bibechana-27450	98	6	𝑠	𝑠	PROPN
bibechana-27450	98	7	)	)	PUNCT
bibechana-27450	98	8	𝐹	𝐹	PROPN
bibechana-27450	98	9	(	(	PUNCT
bibechana-27450	98	10	𝐴1	𝐴1	PROPN
bibechana-27450	98	11	𝑠	𝑠	PROPN
bibechana-27450	98	12	,	,	PUNCT
bibechana-27450	98	13	𝐵1	𝐵1	PROPN
bibechana-27450	98	14	𝑠	𝑠	PROPN
bibechana-27450	98	15	,	,	PUNCT
bibechana-27450	98	16	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	98	17	𝑠	𝑠	PROPN
bibechana-27450	98	18	𝑘𝐷	𝑘𝐷	PROPN
bibechana-27450	98	19	)	)	PUNCT
bibechana-27450	98	20	,	,	PUNCT
bibechana-27450	98	21	which	which	PRON
bibechana-27450	98	22	gives	give	VERB
bibechana-27450	98	23	,	,	PUNCT
bibechana-27450	98	24	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	98	25	𝑠	𝑠	X
bibechana-27450	98	26	𝑧4	𝑧4	PROPN
bibechana-27450	98	27	=	=	PUNCT
bibechana-27450	98	28	𝑛𝜋	𝑛𝜋	PROPN
bibechana-27450	99	1	+	+	NOUN
bibechana-27450	99	2	tan−1	tan−1	PROPN
bibechana-27450	100	1	[	[	X
bibechana-27450	100	2	(	(	PUNCT
bibechana-27450	100	3	−	−	PROPN
bibechana-27450	100	4	𝐵1	𝐵1	NOUN
bibechana-27450	100	5	𝑠	𝑠	PROPN
bibechana-27450	100	6	𝐴1	𝐴1	PROPN
bibechana-27450	100	7	𝑠	𝑠	PROPN
bibechana-27450	100	8	)	)	PUNCT
bibechana-27450	100	9	𝐹	𝐹	PROPN
bibechana-27450	101	1	(	(	PUNCT
bibechana-27450	101	2	𝐴1	𝐴1	PROPN
bibechana-27450	101	3	𝑠	𝑠	PROPN
bibechana-27450	101	4	,	,	PUNCT
bibechana-27450	101	5	𝐵1	𝐵1	PROPN
bibechana-27450	101	6	𝑠	𝑠	PROPN
bibechana-27450	101	7	,	,	PUNCT
bibechana-27450	101	8	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	101	9	𝑠	𝑠	PROPN
bibechana-27450	101	10	𝑘𝐷	𝑘𝐷	PROPN
bibechana-27450	101	11	)	)	PUNCT
bibechana-27450	101	12	]	]	PUNCT
bibechana-27450	102	1	(	(	PUNCT
bibechana-27450	102	2	8)	8)	NUM
bibechana-27450	102	3	since	since	SCONJ
bibechana-27450	102	4	vd	vd	NOUN
bibechana-27450	102	5	is	be	AUX
bibechana-27450	102	6	very	very	ADV
bibechana-27450	102	7	large	large	ADJ
bibechana-27450	102	8	in	in	ADP
bibechana-27450	102	9	comparison	comparison	NOUN
bibechana-27450	102	10	to	to	ADP
bibechana-27450	102	11	v0	v0	NOUN
bibechana-27450	102	12	,	,	PUNCT
bibechana-27450	102	13	the	the	DET
bibechana-27450	102	14	wave	wave	NOUN
bibechana-27450	102	15	vector	vector	NOUN
bibechana-27450	102	16	ratio	ratio	NOUN
bibechana-27450	102	17	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	102	18	𝑠	𝑠	PROPN
bibechana-27450	102	19	𝑘𝐷	𝑘𝐷	PROPN
bibechana-27450	102	20	is	be	AUX
bibechana-27450	102	21	small	small	ADJ
bibechana-27450	102	22	.	.	PUNCT
bibechana-27450	103	1	this	this	PRON
bibechana-27450	103	2	leads	lead	VERB
bibechana-27450	103	3	the	the	DET
bibechana-27450	103	4	function	function	NOUN
bibechana-27450	103	5	𝐹	𝐹	PROPN
bibechana-27450	103	6	(	(	PUNCT
bibechana-27450	103	7	𝐴1	𝐴1	PROPN
bibechana-27450	103	8	𝑠	𝑠	PROPN
bibechana-27450	103	9	,	,	PUNCT
bibechana-27450	103	10	𝐵1	𝐵1	PROPN
bibechana-27450	103	11	𝑠	𝑠	PROPN
bibechana-27450	103	12	,	,	PUNCT
bibechana-27450	103	13	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	103	14	𝑠	𝑠	PROPN
bibechana-27450	103	15	𝑘𝐷	𝑘𝐷	NOUN
bibechana-27450	103	16	)	)	PUNCT
bibechana-27450	103	17	to	to	PART
bibechana-27450	103	18	converge	converge	VERB
bibechana-27450	103	19	to	to	ADP
bibechana-27450	103	20	1[14	1[14	NUM
bibechana-27450	103	21	]	]	PUNCT
bibechana-27450	103	22	.	.	PUNCT
bibechana-27450	104	1	the	the	DET
bibechana-27450	104	2	final	final	ADJ
bibechana-27450	104	3	relation	relation	NOUN
bibechana-27450	104	4	is	be	AUX
bibechana-27450	104	5	,	,	PUNCT
bibechana-27450	104	6	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	104	7	𝑠	𝑠	PROPN
bibechana-27450	104	8	(	(	PUNCT
bibechana-27450	104	9	3	3	NUM
bibechana-27450	104	10	2	2	NUM
bibechana-27450	104	11	𝑙𝑏	𝑙𝑏	NOUN
bibechana-27450	104	12	+	+	NOUN
bibechana-27450	104	13	2	2	NUM
bibechana-27450	104	14	𝑙𝑤	𝑙𝑤	NOUN
bibechana-27450	104	15	)	)	PUNCT
bibechana-27450	104	16	=	=	PUNCT
bibechana-27450	104	17	𝑛𝜋	𝑛𝜋	NOUN
bibechana-27450	105	1	+	+	CCONJ
bibechana-27450	105	2	tan−1	tan−1	PROPN
bibechana-27450	105	3	(	(	PUNCT
bibechana-27450	105	4	−	−	PROPN
bibechana-27450	105	5	𝐵1	𝐵1	NOUN
bibechana-27450	106	1	𝑠	𝑠	PROPN
bibechana-27450	106	2	𝐴1	𝐴1	PROPN
bibechana-27450	106	3	𝑠	𝑠	PROPN
bibechana-27450	106	4	)	)	PUNCT
bibechana-27450	106	5	=	=	SYM
bibechana-27450	106	6	𝑛𝜋	𝑛𝜋	PROPN
bibechana-27450	107	1	+	+	CCONJ
bibechana-27450	107	2	tan−1	tan−1	PROPN
bibechana-27450	107	3	(	(	PUNCT
bibechana-27450	107	4	−	−	PROPN
bibechana-27450	107	5	𝛽1	𝛽1	PROPN
bibechana-27450	107	6	𝑠	𝑠	PROPN
bibechana-27450	107	7	𝛼1	𝛼1	PROPN
bibechana-27450	107	8	𝑠	𝑠	NOUN
bibechana-27450	107	9	)	)	PUNCT
bibechana-27450	107	10	(	(	PUNCT
bibechana-27450	107	11	9	9	NUM
bibechana-27450	107	12	)	)	PUNCT
bibechana-27450	107	13	where	where	SCONJ
bibechana-27450	107	14	𝐵𝑛	𝐵𝑛	PROPN
bibechana-27450	107	15	𝑠	𝑠	PROPN
bibechana-27450	108	1	𝐴𝑛	𝐴𝑛	PROPN
bibechana-27450	108	2	𝑠	𝑠	PROPN
bibechana-27450	108	3	=	=	PUNCT
bibechana-27450	108	4	𝛽𝑛	𝛽𝑛	PROPN
bibechana-27450	108	5	𝑠	𝑠	INTJ
bibechana-27450	108	6	𝛼𝑛	𝛼𝑛	INTJ
bibechana-27450	108	7	𝑠	𝑠	PROPN
bibechana-27450	108	8	left	leave	VERB
bibechana-27450	108	9	hand	hand	NOUN
bibechana-27450	108	10	side	side	NOUN
bibechana-27450	108	11	relation	relation	NOUN
bibechana-27450	108	12	in	in	ADP
bibechana-27450	108	13	(	(	PUNCT
bibechana-27450	108	14	9	9	NUM
bibechana-27450	108	15	)	)	PUNCT
bibechana-27450	108	16	is	be	AUX
bibechana-27450	108	17	a	a	DET
bibechana-27450	108	18	function	function	NOUN
bibechana-27450	108	19	of	of	ADP
bibechana-27450	108	20	energy	energy	NOUN
bibechana-27450	108	21	assuming	assume	VERB
bibechana-27450	108	22	the	the	DET
bibechana-27450	108	23	barrier	barrier	NOUN
bibechana-27450	108	24	parameters	parameter	NOUN
bibechana-27450	108	25	are	be	AUX
bibechana-27450	108	26	known	know	VERB
bibechana-27450	108	27	and	and	CCONJ
bibechana-27450	108	28	the	the	DET
bibechana-27450	108	29	right	right	ADJ
bibechana-27450	108	30	hand	hand	NOUN
bibechana-27450	108	31	side	side	NOUN
bibechana-27450	108	32	is	be	AUX
bibechana-27450	108	33	accessible	accessible	ADJ
bibechana-27450	108	34	in	in	ADP
bibechana-27450	108	35	terms	term	NOUN
bibechana-27450	108	36	of	of	ADP
bibechana-27450	108	37	energy	energy	NOUN
bibechana-27450	108	38	.	.	PUNCT
bibechana-27450	109	1	thus	thus	ADV
bibechana-27450	109	2	,	,	PUNCT
bibechana-27450	109	3	by	by	ADP
bibechana-27450	109	4	plotting	plot	VERB
bibechana-27450	109	5	left	left	ADJ
bibechana-27450	109	6	hand	hand	NOUN
bibechana-27450	109	7	and	and	CCONJ
bibechana-27450	109	8	right	right	ADJ
bibechana-27450	109	9	hand	hand	NOUN
bibechana-27450	109	10	side	side	NOUN
bibechana-27450	109	11	functions	function	NOUN
bibechana-27450	109	12	with	with	ADP
bibechana-27450	109	13	energy	energy	NOUN
bibechana-27450	109	14	the	the	DET
bibechana-27450	109	15	intersecting	intersecting	ADJ
bibechana-27450	109	16	points	point	NOUN
bibechana-27450	109	17	would	would	AUX
bibechana-27450	109	18	give	give	VERB
bibechana-27450	109	19	the	the	DET
bibechana-27450	109	20	symmetric	symmetric	ADJ
bibechana-27450	109	21	energy	energy	NOUN
bibechana-27450	109	22	eigen	eigen	PROPN
bibechana-27450	109	23	values	value	NOUN
bibechana-27450	109	24	.	.	PUNCT
bibechana-27450	110	1	the	the	DET
bibechana-27450	110	2	evaluation	evaluation	NOUN
bibechana-27450	110	3	of	of	ADP
bibechana-27450	110	4	the	the	DET
bibechana-27450	110	5	right	right	ADJ
bibechana-27450	110	6	hand	hand	NOUN
bibechana-27450	110	7	side	side	NOUN
bibechana-27450	110	8	function	function	NOUN
bibechana-27450	110	9	can	can	AUX
bibechana-27450	110	10	be	be	AUX
bibechana-27450	110	11	done	do	VERB
bibechana-27450	110	12	using	use	VERB
bibechana-27450	110	13	the	the	DET
bibechana-27450	110	14	value	value	NOUN
bibechana-27450	110	15	of	of	ADP
bibechana-27450	110	16	𝐵1	𝐵1	NOUN
bibechana-27450	111	1	𝑠	𝑠	PROPN
bibechana-27450	111	2	𝐴1	𝐴1	PROPN
bibechana-27450	112	1	𝑠	𝑠	PROPN
bibechana-27450	112	2	in	in	ADP
bibechana-27450	112	3	(	(	PUNCT
bibechana-27450	112	4	8)	8)	X
bibechana-27450	112	5	.	.	PUNCT
bibechana-27450	113	1	let	let	VERB
bibechana-27450	113	2	t	t	NOUN
bibechana-27450	113	3	be	be	AUX
bibechana-27450	113	4	the	the	DET
bibechana-27450	113	5	transfer	transfer	NOUN
bibechana-27450	113	6	matrix	matrix	NOUN
bibechana-27450	113	7	that	that	PRON
bibechana-27450	113	8	connects	connect	VERB
bibechana-27450	113	9	the	the	DET
bibechana-27450	113	10	wave	wave	NOUN
bibechana-27450	113	11	function	function	NOUN
bibechana-27450	113	12	coefficients	coefficient	NOUN
bibechana-27450	113	13	of	of	ADP
bibechana-27450	113	14	region	region	NOUN
bibechana-27450	113	15	i	i	PRON
bibechana-27450	113	16	to	to	ADP
bibechana-27450	113	17	region	region	PROPN
bibechana-27450	113	18	iii	iii	PROPN
bibechana-27450	113	19	.	.	PUNCT
bibechana-27450	114	1	(	(	PUNCT
bibechana-27450	114	2	a3	a3	PROPN
bibechana-27450	114	3	s	s	PART
bibechana-27450	114	4	b3	b3	PROPN
bibechana-27450	114	5	s	s	PART
bibechana-27450	114	6	)	)	PUNCT
bibechana-27450	114	7	=	=	PUNCT
bibechana-27450	115	1	[	[	PUNCT
bibechana-27450	115	2	t11	t11	PROPN
bibechana-27450	115	3	t12	t12	PROPN
bibechana-27450	115	4	t21	t21	PROPN
bibechana-27450	115	5	t22	t22	PROPN
bibechana-27450	115	6	]	]	PUNCT
bibechana-27450	115	7	(	(	PUNCT
bibechana-27450	115	8	a1	a1	PROPN
bibechana-27450	115	9	s	s	PART
bibechana-27450	115	10	b1	b1	NOUN
bibechana-27450	115	11	s	s	NOUN
bibechana-27450	115	12	)	)	PUNCT
bibechana-27450	115	13	on	on	ADP
bibechana-27450	115	14	solving	solve	VERB
bibechana-27450	115	15	and	and	CCONJ
bibechana-27450	115	16	rearranging	rearrange	VERB
bibechana-27450	115	17	the	the	DET
bibechana-27450	115	18	terms	term	NOUN
bibechana-27450	115	19	we	we	PRON
bibechana-27450	115	20	arrive	arrive	VERB
bibechana-27450	115	21	at	at	ADP
bibechana-27450	115	22	the	the	DET
bibechana-27450	115	23	following	follow	VERB
bibechana-27450	115	24	relation	relation	NOUN
bibechana-27450	115	25	,	,	PUNCT
bibechana-27450	115	26	(	(	PUNCT
bibechana-27450	115	27	𝐵1	𝐵1	NOUN
bibechana-27450	115	28	𝑠	𝑠	X
bibechana-27450	115	29	𝐴1	𝐴1	PROPN
bibechana-27450	115	30	𝑠	𝑠	PROPN
bibechana-27450	115	31	)	)	PUNCT
bibechana-27450	115	32	=	=	PUNCT
bibechana-27450	116	1	[	[	X
bibechana-27450	116	2	𝑇11−𝑇21	𝑇11−𝑇21	NUM
bibechana-27450	116	3	𝐴3	𝐴3	PROPN
bibechana-27450	116	4	𝑠	𝑠	INTJ
bibechana-27450	116	5	𝐵3	𝐵3	PROPN
bibechana-27450	116	6	𝑠	𝑠	X
bibechana-27450	116	7	]	]	PUNCT
bibechana-27450	117	1	[	[	X
bibechana-27450	117	2	𝑇22	𝑇22	PROPN
bibechana-27450	117	3	𝐴3	𝐴3	PROPN
bibechana-27450	117	4	𝑠	𝑠	PROPN
bibechana-27450	117	5	𝐵3	𝐵3	PROPN
bibechana-27450	117	6	𝑠	𝑠	PROPN
bibechana-27450	117	7	−𝑇12	−𝑇12	PROPN
bibechana-27450	117	8	]	]	X
bibechana-27450	117	9	(	(	PUNCT
bibechana-27450	117	10	10	10	NUM
bibechana-27450	117	11	)	)	PUNCT
bibechana-27450	117	12	furthermore	furthermore	ADV
bibechana-27450	117	13	,	,	PUNCT
bibechana-27450	117	14	the	the	DET
bibechana-27450	117	15	evaluation	evaluation	NOUN
bibechana-27450	117	16	of	of	ADP
bibechana-27450	117	17	𝐶𝑆	𝐶𝑆	PROPN
bibechana-27450	117	18	can	can	AUX
bibechana-27450	117	19	be	be	AUX
bibechana-27450	117	20	done	do	VERB
bibechana-27450	117	21	by	by	ADP
bibechana-27450	117	22	normalization	normalization	NOUN
bibechana-27450	117	23	condition	condition	NOUN
bibechana-27450	117	24	for	for	ADP
bibechana-27450	117	25	the	the	DET
bibechana-27450	117	26	system	system	NOUN
bibechana-27450	117	27	as	as	ADP
bibechana-27450	117	28	,	,	PUNCT
bibechana-27450	117	29	|𝐶𝑠|2	|𝐶𝑠|2	PROPN
bibechana-27450	117	30	{	{	PUNCT
bibechana-27450	117	31	∫	∫	NOUN
bibechana-27450	117	32	|−𝛼1	|−𝛼1	PROPN
bibechana-27450	117	33	𝑠sin(𝑘𝑤𝑧	𝑠sin(𝑘𝑤𝑧	NOUN
bibechana-27450	117	34	)	)	PUNCT
bibechana-27450	118	1	+	+	PUNCT
bibechana-27450	118	2	𝛽1	𝛽1	NOUN
bibechana-27450	118	3	𝑠cos(𝑘𝑤𝑧)|2𝑑𝑧	𝑠cos(𝑘𝑤𝑧)|2𝑑𝑧	ADP
bibechana-27450	118	4	−𝑧3	−𝑧3	PROPN
bibechana-27450	118	5	−𝑧4	−𝑧4	PROPN
bibechana-27450	118	6	+	+	CCONJ
bibechana-27450	118	7	∫	∫	PROPN
bibechana-27450	118	8	|−𝛼2	|−𝛼2	PROPN
bibechana-27450	118	9	𝑠sinh(𝑘𝑏𝑧	𝑠sinh(𝑘𝑏𝑧	NOUN
bibechana-27450	118	10	)	)	PUNCT
bibechana-27450	119	1	+	+	SYM
bibechana-27450	119	2	𝛽2	𝛽2	NOUN
bibechana-27450	119	3	𝑠cosh(𝑘𝑏𝑧)|2𝑑𝑧	𝑠cosh(𝑘𝑏𝑧)|2𝑑𝑧	VERB
bibechana-27450	119	4	−𝑧2	−𝑧2	PROPN
bibechana-27450	119	5	−𝑧3	−𝑧3	PROPN
bibechana-27450	119	6	+	+	CCONJ
bibechana-27450	119	7	∫	∫	PROPN
bibechana-27450	119	8	|−𝛼3	|−𝛼3	ADJ
bibechana-27450	119	9	𝑠sin(𝑘𝑤𝑧	𝑠sin(𝑘𝑤𝑧	PROPN
bibechana-27450	119	10	)	)	PUNCT
bibechana-27450	119	11	+	+	NUM
bibechana-27450	119	12	𝛽3	𝛽3	NOUN
bibechana-27450	119	13	𝑠cos(𝑘𝑤𝑧)|2𝑑𝑧	𝑠cos(𝑘𝑤𝑧)|2𝑑𝑧	ADP
bibechana-27450	119	14	−𝑧1	−𝑧1	PROPN
bibechana-27450	119	15	−𝑧2	−𝑧2	NOUN
bibechana-27450	119	16	+	+	CCONJ
bibechana-27450	119	17	∫	∫	PROPN
bibechana-27450	119	18	|cosh(𝑘𝑏𝑧)|2𝑑𝑧	|cosh(𝑘𝑏𝑧)|2𝑑𝑧	PROPN
bibechana-27450	119	19	𝑧1	𝑧1	VERB
bibechana-27450	119	20	−𝑧1	−𝑧1	PROPN
bibechana-27450	119	21	+	+	CCONJ
bibechana-27450	119	22	∫	∫	PROPN
bibechana-27450	119	23	|𝛼3	|𝛼3	ADJ
bibechana-27450	119	24	𝑠sin(𝑘𝑤𝑧	𝑠sin(𝑘𝑤𝑧	NOUN
bibechana-27450	119	25	)	)	PUNCT
bibechana-27450	120	1	+	+	CCONJ
bibechana-27450	120	2	𝑧2	𝑧2	NOUN
bibechana-27450	120	3	𝑧1	𝑧1	NOUN
bibechana-27450	120	4	𝛽3	𝛽3	NOUN
bibechana-27450	120	5	𝑠cos(𝑘𝑤𝑧)|2𝑑𝑧	𝑠cos(𝑘𝑤𝑧)|2𝑑𝑧	ADP
bibechana-27450	120	6	+	+	NUM
bibechana-27450	120	7	∫	∫	PROPN
bibechana-27450	120	8	|𝛼2	|𝛼2	PROPN
bibechana-27450	120	9	𝑠sinh(𝑘𝑏𝑧	𝑠sinh(𝑘𝑏𝑧	PROPN
bibechana-27450	120	10	)	)	PUNCT
bibechana-27450	121	1	+	+	CCONJ
bibechana-27450	121	2	𝑧3	𝑧3	PROPN
bibechana-27450	121	3	𝑧2	𝑧2	PROPN
bibechana-27450	121	4	𝛽2	𝛽2	NOUN
bibechana-27450	121	5	𝑠cosh(𝑘𝑏𝑧)|2𝑑𝑧	𝑠cosh(𝑘𝑏𝑧)|2𝑑𝑧	VERB
bibechana-27450	121	6	+	+	CCONJ
bibechana-27450	121	7	∫	∫	PROPN
bibechana-27450	121	8	|𝛼1	|𝛼1	NOUN
bibechana-27450	121	9	𝑠sin(𝑘𝑤𝑧	𝑠sin(𝑘𝑤𝑧	NOUN
bibechana-27450	121	10	)	)	PUNCT
bibechana-27450	122	1	+	+	CCONJ
bibechana-27450	122	2	𝑧4	𝑧4	ADJ
bibechana-27450	122	3	𝑧3	𝑧3	ADJ
bibechana-27450	122	4	𝛽1	𝛽1	NOUN
bibechana-27450	122	5	𝑠cos(𝑘𝑤𝑧)|2𝑑𝑧	𝑠cos(𝑘𝑤𝑧)|2𝑑𝑧	VERB
bibechana-27450	122	6	}	}	PUNCT
bibechana-27450	122	7	=	=	SYM
bibechana-27450	122	8	1	1	NUM
bibechana-27450	122	9	(	(	PUNCT
bibechana-27450	122	10	11	11	NUM
bibechana-27450	122	11	)	)	PUNCT
bibechana-27450	122	12	the	the	DET
bibechana-27450	122	13	replication	replication	NOUN
bibechana-27450	122	14	of	of	ADP
bibechana-27450	122	15	similar	similar	ADJ
bibechana-27450	122	16	technique	technique	NOUN
bibechana-27450	122	17	for	for	ADP
bibechana-27450	122	18	antisymmetric	antisymmetric	ADJ
bibechana-27450	122	19	states	state	NOUN
bibechana-27450	122	20	leads	lead	VERB
bibechana-27450	122	21	to	to	ADP
bibechana-27450	122	22	the	the	DET
bibechana-27450	122	23	solution	solution	NOUN
bibechana-27450	122	24	of	of	ADP
bibechana-27450	122	25	energy	energy	NOUN
bibechana-27450	122	26	value	value	NOUN
bibechana-27450	122	27	and	and	CCONJ
bibechana-27450	122	28	wave	wave	NOUN
bibechana-27450	122	29	function	function	NOUN
bibechana-27450	122	30	coefficient	coefficient	NOUN
bibechana-27450	122	31	𝐶𝑎for	𝐶𝑎for	ADP
bibechana-27450	122	32	the	the	DET
bibechana-27450	122	33	particles	particle	NOUN
bibechana-27450	122	34	in	in	ADP
bibechana-27450	122	35	this	this	DET
bibechana-27450	122	36	state	state	NOUN
bibechana-27450	122	37	.	.	PUNCT
bibechana-27450	123	1	calculations	calculation	NOUN
bibechana-27450	123	2	on	on	ADP
bibechana-27450	123	3	concrete	concrete	ADJ
bibechana-27450	123	4	systems	system	NOUN
bibechana-27450	123	5	,	,	PUNCT
bibechana-27450	123	6	detailed	detail	VERB
bibechana-27450	123	7	later	later	ADV
bibechana-27450	123	8	,	,	PUNCT
bibechana-27450	123	9	show	show	VERB
bibechana-27450	123	10	that	that	SCONJ
bibechana-27450	123	11	consecutive	consecutive	ADJ
bibechana-27450	123	12	symmetric	symmetric	ADJ
bibechana-27450	123	13	and	and	CCONJ
bibechana-27450	123	14	anti	anti	ADJ
bibechana-27450	123	15	-	-	ADJ
bibechana-27450	123	16	symmetric	symmetric	ADJ
bibechana-27450	123	17	energy	energy	NOUN
bibechana-27450	123	18	levels	level	NOUN
bibechana-27450	123	19	are	be	AUX
bibechana-27450	123	20	very	very	ADV
bibechana-27450	123	21	close	close	ADJ
bibechana-27450	123	22	,	,	PUNCT
bibechana-27450	123	23	resulting	result	VERB
bibechana-27450	123	24	in	in	ADP
bibechana-27450	123	25	oscillations	oscillation	NOUN
bibechana-27450	123	26	between	between	ADP
bibechana-27450	123	27	the	the	DET
bibechana-27450	123	28	levels	level	NOUN
bibechana-27450	123	29	.	.	PUNCT
bibechana-27450	124	1	the	the	DET
bibechana-27450	124	2	total	total	ADJ
bibechana-27450	124	3	travelling	travel	VERB
bibechana-27450	124	4	wave	wave	NOUN
bibechana-27450	124	5	solution	solution	NOUN
bibechana-27450	124	6	in	in	ADP
bibechana-27450	124	7	the	the	DET
bibechana-27450	124	8	sqw	sqw	NOUN
bibechana-27450	124	9	is	be	AUX
bibechana-27450	124	10	𝜓(𝑧	𝜓(𝑧	NOUN
bibechana-27450	124	11	,	,	PUNCT
bibechana-27450	124	12	𝑡	𝑡	X
bibechana-27450	124	13	)	)	PUNCT
bibechana-27450	124	14	=	=	SYM
bibechana-27450	124	15	1	1	NUM
bibechana-27450	124	16	√2	√2	PROPN
bibechana-27450	124	17	[	[	X
bibechana-27450	124	18	𝜓s	𝜓s	PROPN
bibechana-27450	124	19	exp	exp	NOUN
bibechana-27450	124	20	(	(	PUNCT
bibechana-27450	124	21	−𝑖	−𝑖	ADJ
bibechana-27450	124	22	2𝜋	2𝜋	NOUN
bibechana-27450	124	23	ℎ	ℎ	ADP
bibechana-27450	124	24	𝐸𝑠𝑡	𝐸𝑠𝑡	ADJ
bibechana-27450	124	25	)	)	PUNCT
bibechana-27450	125	1	+	+	CCONJ
bibechana-27450	125	2	𝜓a	𝜓a	PROPN
bibechana-27450	125	3	exp	exp	NOUN
bibechana-27450	125	4	(	(	PUNCT
bibechana-27450	125	5	−i	−i	PROPN
bibechana-27450	125	6	2π	2π	PROPN
bibechana-27450	125	7	h	h	NOUN
bibechana-27450	125	8	eat	eat	VERB
bibechana-27450	125	9	)	)	PUNCT
bibechana-27450	125	10	]	]	PUNCT
bibechana-27450	125	11	(	(	PUNCT
bibechana-27450	125	12	12	12	NUM
bibechana-27450	125	13	)	)	PUNCT
bibechana-27450	125	14	s.	s.	PROPN
bibechana-27450	125	15	shrestha	shrestha	PROPN
bibechana-27450	125	16	et	et	PROPN
bibechana-27450	125	17	al	al	PROPN
bibechana-27450	125	18	.	.	PUNCT
bibechana-27450	125	19	/	/	SYM
bibechana-27450	125	20	bibechana	bibechana	NOUN
bibechana-27450	125	21	18	18	NUM
bibechana-27450	125	22	(	(	PUNCT
bibechana-27450	125	23	1	1	NUM
bibechana-27450	125	24	)	)	PUNCT
bibechana-27450	125	25	(	(	PUNCT
bibechana-27450	125	26	2021	2021	NUM
bibechana-27450	125	27	)	)	PUNCT
bibechana-27450	125	28	91	91	NUM
bibechana-27450	125	29	-	-	SYM
bibechana-27450	125	30	99	99	NUM
bibechana-27450	125	31	95	95	NUM
bibechana-27450	125	32	where	where	SCONJ
bibechana-27450	125	33	𝐸𝑠	𝐸𝑠	PROPN
bibechana-27450	125	34	and	and	CCONJ
bibechana-27450	125	35	𝐸𝑎	𝐸𝑎	PROPN
bibechana-27450	125	36	are	be	AUX
bibechana-27450	125	37	nearby	nearby	ADV
bibechana-27450	125	38	symmetric	symmetric	ADJ
bibechana-27450	125	39	and	and	CCONJ
bibechana-27450	125	40	antisymmetric	antisymmetric	ADJ
bibechana-27450	125	41	energy	energy	NOUN
bibechana-27450	125	42	values	value	NOUN
bibechana-27450	125	43	.	.	PUNCT
bibechana-27450	126	1	the	the	DET
bibechana-27450	126	2	probability	probability	NOUN
bibechana-27450	126	3	to	to	PART
bibechana-27450	126	4	find	find	VERB
bibechana-27450	126	5	particle	particle	NOUN
bibechana-27450	126	6	at	at	ADP
bibechana-27450	126	7	any	any	DET
bibechana-27450	126	8	time	time	NOUN
bibechana-27450	126	9	𝑡	𝑡	PRON
bibechana-27450	126	10	is	be	AUX
bibechana-27450	126	11	given	give	VERB
bibechana-27450	126	12	by	by	ADP
bibechana-27450	126	13	:	:	PUNCT
bibechana-27450	126	14	𝑃(𝑧	𝑃(𝑧	NUM
bibechana-27450	126	15	,	,	PUNCT
bibechana-27450	126	16	𝑡	𝑡	NOUN
bibechana-27450	126	17	)	)	PUNCT
bibechana-27450	126	18	=	=	SYM
bibechana-27450	126	19	|𝜓(𝑧	|𝜓(𝑧	NOUN
bibechana-27450	126	20	,	,	PUNCT
bibechana-27450	126	21	𝑡)|2	𝑡)|2	NOUN
bibechana-27450	126	22	𝑃(𝑧	𝑃(𝑧	SYM
bibechana-27450	126	23	,	,	PUNCT
bibechana-27450	126	24	𝑡	𝑡	NOUN
bibechana-27450	126	25	)	)	PUNCT
bibechana-27450	126	26	=	=	SYM
bibechana-27450	126	27	1	1	NUM
bibechana-27450	126	28	2	2	NUM
bibechana-27450	126	29	[	[	X
bibechana-27450	126	30	𝜓𝑠2	𝜓𝑠2	PROPN
bibechana-27450	126	31	+	+	NUM
bibechana-27450	126	32	𝜓𝑎2	𝜓𝑎2	NOUN
bibechana-27450	126	33	+	+	CCONJ
bibechana-27450	126	34	𝜓s𝜓a	𝜓s𝜓a	NOUN
bibechana-27450	126	35	(	(	PUNCT
bibechana-27450	126	36	exp	exp	NOUN
bibechana-27450	126	37	(	(	PUNCT
bibechana-27450	126	38	−𝑖	−𝑖	ADJ
bibechana-27450	126	39	2𝜋	2𝜋	NOUN
bibechana-27450	126	40	ℎ	ℎ	X
bibechana-27450	126	41	(	(	PUNCT
bibechana-27450	126	42	𝐸𝑎	𝐸𝑎	PROPN
bibechana-27450	126	43	−	−	PROPN
bibechana-27450	126	44	𝐸𝑠)𝑡	𝐸𝑠)𝑡	NOUN
bibechana-27450	126	45	)	)	PUNCT
bibechana-27450	126	46	+	+	CCONJ
bibechana-27450	126	47	exp	exp	NOUN
bibechana-27450	126	48	(	(	PUNCT
bibechana-27450	126	49	𝑖	𝑖	NOUN
bibechana-27450	126	50	2𝜋	2𝜋	NOUN
bibechana-27450	126	51	ℎ	ℎ	X
bibechana-27450	126	52	(	(	PUNCT
bibechana-27450	126	53	𝐸𝑎	𝐸𝑎	PROPN
bibechana-27450	126	54	−	−	PROPN
bibechana-27450	126	55	𝐸𝑠)𝑡	𝐸𝑠)𝑡	NOUN
bibechana-27450	126	56	)	)	PUNCT
bibechana-27450	126	57	)	)	PUNCT
bibechana-27450	126	58	]	]	PUNCT
bibechana-27450	127	1	𝑃(𝑧	𝑃(𝑧	X
bibechana-27450	127	2	,	,	PUNCT
bibechana-27450	127	3	𝑡	𝑡	NOUN
bibechana-27450	127	4	)	)	PUNCT
bibechana-27450	127	5	=	=	SYM
bibechana-27450	127	6	1	1	NUM
bibechana-27450	127	7	2	2	NUM
bibechana-27450	127	8	[	[	X
bibechana-27450	127	9	𝜓𝑠2	𝜓𝑠2	PROPN
bibechana-27450	127	10	+	+	CCONJ
bibechana-27450	127	11	𝜓𝑎2	𝜓𝑎2	PROPN
bibechana-27450	127	12	+	+	CCONJ
bibechana-27450	127	13	{	{	PUNCT
bibechana-27450	127	14	𝜓s𝜓a	𝜓s𝜓a	NOUN
bibechana-27450	127	15	(	(	PUNCT
bibechana-27450	127	16	exp	exp	NOUN
bibechana-27450	127	17	(	(	PUNCT
bibechana-27450	127	18	−𝑖	−𝑖	ADJ
bibechana-27450	127	19	2𝜋	2𝜋	NOUN
bibechana-27450	127	20	ℎ	ℎ	PART
bibechana-27450	127	21	∆𝐸𝑡	∆𝐸𝑡	PROPN
bibechana-27450	127	22	)	)	PUNCT
bibechana-27450	127	23	+	+	NUM
bibechana-27450	127	24	exp	exp	NOUN
bibechana-27450	127	25	(	(	PUNCT
bibechana-27450	127	26	𝑖	𝑖	SYM
bibechana-27450	127	27	2𝜋	2𝜋	NUM
bibechana-27450	127	28	ℎ	ℎ	X
bibechana-27450	127	29	∆𝐸𝑡	∆𝐸𝑡	PROPN
bibechana-27450	127	30	)	)	PUNCT
bibechana-27450	127	31	)	)	PUNCT
bibechana-27450	127	32	}	}	PUNCT
bibechana-27450	127	33	]	]	PUNCT
bibechana-27450	127	34	therefore	therefore	ADV
bibechana-27450	127	35	,	,	PUNCT
bibechana-27450	127	36	𝑃(𝑧	𝑃(𝑧	X
bibechana-27450	127	37	,	,	PUNCT
bibechana-27450	127	38	𝑡	𝑡	NOUN
bibechana-27450	127	39	)	)	PUNCT
bibechana-27450	127	40	=	=	SYM
bibechana-27450	127	41	1	1	NUM
bibechana-27450	127	42	2	2	NUM
bibechana-27450	127	43	[	[	X
bibechana-27450	127	44	𝜓𝑠2	𝜓𝑠2	PROPN
bibechana-27450	127	45	+	+	CCONJ
bibechana-27450	127	46	𝜓𝑎2	𝜓𝑎2	PROPN
bibechana-27450	127	47	+	+	CCONJ
bibechana-27450	127	48	2𝜓s𝜓acos	2𝜓s𝜓acos	NUM
bibechana-27450	127	49	(	(	PUNCT
bibechana-27450	127	50	2𝜋	2𝜋	NUM
bibechana-27450	127	51	ℎ	ℎ	PART
bibechana-27450	127	52	∆𝐸𝑡	∆𝐸𝑡	PROPN
bibechana-27450	127	53	)	)	PUNCT
bibechana-27450	127	54	]	]	PUNCT
bibechana-27450	127	55	this	this	DET
bibechana-27450	127	56	equation	equation	NOUN
bibechana-27450	127	57	gives	give	VERB
bibechana-27450	127	58	the	the	DET
bibechana-27450	127	59	probability	probability	NOUN
bibechana-27450	127	60	to	to	PART
bibechana-27450	127	61	find	find	VERB
bibechana-27450	127	62	the	the	DET
bibechana-27450	127	63	particle	particle	NOUN
bibechana-27450	127	64	at	at	ADP
bibechana-27450	127	65	time	time	NOUN
bibechana-27450	127	66	‘	'	PUNCT
bibechana-27450	127	67	t	t	NOUN
bibechana-27450	127	68	’	'	PUNCT
bibechana-27450	127	69	in	in	ADP
bibechana-27450	127	70	the	the	DET
bibechana-27450	127	71	neighborhood	neighborhood	NOUN
bibechana-27450	127	72	of	of	ADP
bibechana-27450	127	73	spatial	spatial	ADJ
bibechana-27450	127	74	region	region	NOUN
bibechana-27450	127	75	z	z	PROPN
bibechana-27450	127	76	and	and	CCONJ
bibechana-27450	127	77	can	can	AUX
bibechana-27450	127	78	be	be	AUX
bibechana-27450	127	79	used	use	VERB
bibechana-27450	127	80	to	to	PART
bibechana-27450	127	81	study	study	VERB
bibechana-27450	127	82	the	the	DET
bibechana-27450	127	83	time	time	NOUN
bibechana-27450	127	84	evolution	evolution	NOUN
bibechana-27450	127	85	of	of	ADP
bibechana-27450	127	86	system	system	NOUN
bibechana-27450	127	87	including	include	VERB
bibechana-27450	127	88	its	its	PRON
bibechana-27450	127	89	tunneling	tunneling	NOUN
bibechana-27450	127	90	behavior	behavior	NOUN
bibechana-27450	127	91	in	in	ADP
bibechana-27450	127	92	sqw	sqw	NOUN
bibechana-27450	127	93	.	.	PUNCT
bibechana-27450	128	1	3	3	X
bibechana-27450	128	2	.	.	NOUN
bibechana-27450	128	3	results	result	NOUN
bibechana-27450	128	4	and	and	CCONJ
bibechana-27450	128	5	discussion	discussion	NOUN
bibechana-27450	128	6	we	we	PRON
bibechana-27450	128	7	consider	consider	VERB
bibechana-27450	128	8	𝐺𝑎𝐴𝑠	𝐺𝑎𝐴𝑠	PROPN
bibechana-27450	128	9	and	and	CCONJ
bibechana-27450	128	10	𝐴𝑙𝑥𝐺𝑎(1−𝑥)𝐴𝑠	𝐴𝑙𝑥𝐺𝑎(1−𝑥)𝐴𝑠	PROPN
bibechana-27450	128	11	sl	sl	NOUN
bibechana-27450	128	12	system	system	NOUN
bibechana-27450	128	13	with	with	ADP
bibechana-27450	128	14	sqw	sqw	NOUN
bibechana-27450	128	15	potential	potential	NOUN
bibechana-27450	128	16	in	in	ADP
bibechana-27450	128	17	which	which	PRON
bibechana-27450	128	18	the	the	DET
bibechana-27450	128	19	width	width	NOUN
bibechana-27450	128	20	of	of	ADP
bibechana-27450	128	21	the	the	DET
bibechana-27450	128	22	well	well	NOUN
bibechana-27450	128	23	and	and	CCONJ
bibechana-27450	128	24	barrierare	barrierare	VERB
bibechana-27450	128	25	4	4	NUM
bibechana-27450	128	26	nm	nm	NOUN
bibechana-27450	128	27	and	and	CCONJ
bibechana-27450	128	28	5	5	NUM
bibechana-27450	128	29	nm	nm	NOUN
bibechana-27450	128	30	respectively	respectively	ADV
bibechana-27450	128	31	.	.	PUNCT
bibechana-27450	129	1	the	the	DET
bibechana-27450	129	2	height	height	NOUN
bibechana-27450	129	3	of	of	ADP
bibechana-27450	129	4	barrier	barrier	NOUN
bibechana-27450	129	5	depends	depend	VERB
bibechana-27450	129	6	on	on	ADP
bibechana-27450	129	7	the	the	DET
bibechana-27450	129	8	concentration	concentration	NOUN
bibechana-27450	129	9	of	of	ADP
bibechana-27450	129	10	𝐴𝑙	𝐴𝑙	PROPN
bibechana-27450	129	11	in	in	ADP
bibechana-27450	129	12	𝐴𝑙𝑥𝐺𝑎(1−𝑥)𝐴𝑠	𝐴𝑙𝑥𝐺𝑎(1−𝑥)𝐴𝑠	PROPN
bibechana-27450	129	13	and	and	CCONJ
bibechana-27450	129	14	is	be	AUX
bibechana-27450	129	15	given	give	VERB
bibechana-27450	129	16	by	by	ADP
bibechana-27450	129	17	0.067	0.067	NUM
bibechana-27450	130	1	+	+	CCONJ
bibechana-27450	130	2	0.083𝑥.	0.083𝑥.	NUM
bibechana-27450	130	3	with	with	ADP
bibechana-27450	130	4	𝑥	𝑥	NOUN
bibechana-27450	130	5	=	=	PUNCT
bibechana-27450	130	6	0.3,the	0.3,the	DET
bibechana-27450	130	7	height	height	NOUN
bibechana-27450	130	8	of	of	ADP
bibechana-27450	130	9	barrier	barrier	NOUN
bibechana-27450	130	10	is	be	AUX
bibechana-27450	130	11	taken	take	VERB
bibechana-27450	130	12	to	to	PART
bibechana-27450	130	13	be	be	AUX
bibechana-27450	130	14	228	228	NUM
bibechana-27450	130	15	𝑚𝑒𝑉[17	𝑚𝑒𝑉[17	X
bibechana-27450	130	16	]	]	PUNCT
bibechana-27450	130	17	.	.	PUNCT
bibechana-27450	131	1	effective	effective	ADJ
bibechana-27450	131	2	masses	masse	NOUN
bibechana-27450	131	3	of	of	ADP
bibechana-27450	131	4	electrons	electron	NOUN
bibechana-27450	131	5	in	in	ADP
bibechana-27450	131	6	the	the	DET
bibechana-27450	131	7	well	well	NOUN
bibechana-27450	131	8	(	(	PUNCT
bibechana-27450	131	9	𝑚𝑤	𝑚𝑤	NUM
bibechana-27450	131	10	)	)	PUNCT
bibechana-27450	131	11	and	and	CCONJ
bibechana-27450	131	12	in	in	ADP
bibechana-27450	131	13	the	the	DET
bibechana-27450	131	14	barrier	barrier	NOUN
bibechana-27450	131	15	(	(	PUNCT
bibechana-27450	131	16	𝑚𝑏	𝑚𝑏	NOUN
bibechana-27450	131	17	)	)	PUNCT
bibechana-27450	131	18	regions	region	NOUN
bibechana-27450	131	19	are	be	AUX
bibechana-27450	131	20	taken	take	VERB
bibechana-27450	131	21	as	as	ADP
bibechana-27450	131	22	0.067𝑚𝑒	0.067𝑚𝑒	NOUN
bibechana-27450	131	23	and	and	CCONJ
bibechana-27450	131	24	0.091𝑚𝑒	0.091𝑚𝑒	NOUN
bibechana-27450	132	1	[	[	X
bibechana-27450	132	2	18	18	NUM
bibechana-27450	132	3	]	]	PUNCT
bibechana-27450	132	4	respectively	respectively	ADV
bibechana-27450	132	5	.	.	PUNCT
bibechana-27450	133	1	fig	fig	NOUN
bibechana-27450	133	2	.	.	PUNCT
bibechana-27450	134	1	2(a	2(a	NUM
bibechana-27450	134	2	)	)	PUNCT
bibechana-27450	134	3	shows	show	VERB
bibechana-27450	134	4	the	the	DET
bibechana-27450	134	5	graphical	graphical	ADJ
bibechana-27450	134	6	solution	solution	NOUN
bibechana-27450	134	7	for	for	ADP
bibechana-27450	134	8	energy	energy	NOUN
bibechana-27450	134	9	levels	level	NOUN
bibechana-27450	134	10	in	in	ADP
bibechana-27450	134	11	symmetric	symmetric	ADJ
bibechana-27450	134	12	state	state	NOUN
bibechana-27450	134	13	corresponding	correspond	VERB
bibechana-27450	134	14	to	to	ADP
bibechana-27450	134	15	the	the	DET
bibechana-27450	134	16	value	value	NOUN
bibechana-27450	134	17	of	of	ADP
bibechana-27450	134	18	the	the	DET
bibechana-27450	134	19	right	right	NOUN
bibechana-27450	134	20	and	and	CCONJ
bibechana-27450	134	21	of	of	ADP
bibechana-27450	134	22	the	the	DET
bibechana-27450	134	23	left	left	ADJ
bibechana-27450	134	24	sides	side	NOUN
bibechana-27450	134	25	of	of	ADP
bibechana-27450	134	26	the	the	DET
bibechana-27450	134	27	eq	eq	NOUN
bibechana-27450	134	28	.	.	PUNCT
bibechana-27450	135	1	(	(	PUNCT
bibechana-27450	135	2	9	9	NUM
bibechana-27450	135	3	)	)	PUNCT
bibechana-27450	135	4	.	.	PUNCT
bibechana-27450	136	1	the	the	DET
bibechana-27450	136	2	plot	plot	NOUN
bibechana-27450	136	3	of𝑌1	of𝑌1	VERB
bibechana-27450	136	4	=	=	SYM
bibechana-27450	136	5	𝑘𝑤	𝑘𝑤	ADP
bibechana-27450	136	6	𝑠	𝑠	PROPN
bibechana-27450	136	7	(	(	PUNCT
bibechana-27450	136	8	3	3	NUM
bibechana-27450	136	9	2	2	NUM
bibechana-27450	136	10	𝑙𝑏	𝑙𝑏	NOUN
bibechana-27450	136	11	+	+	NOUN
bibechana-27450	136	12	2	2	NUM
bibechana-27450	136	13	𝑙𝑤	𝑙𝑤	NOUN
bibechana-27450	136	14	)	)	PUNCT
bibechana-27450	136	15	is	be	AUX
bibechana-27450	136	16	in	in	ADP
bibechana-27450	136	17	solid	solid	ADJ
bibechana-27450	136	18	(	(	PUNCT
bibechana-27450	136	19	black	black	ADJ
bibechana-27450	136	20	)	)	PUNCT
bibechana-27450	136	21	line	line	NOUN
bibechana-27450	136	22	and𝑌2	and𝑌2	NOUN
bibechana-27450	136	23	=	=	NOUN
bibechana-27450	136	24	𝑛𝜋	𝑛𝜋	PROPN
bibechana-27450	137	1	+	+	NOUN
bibechana-27450	137	2	tan−1	tan−1	PROPN
bibechana-27450	138	1	[	[	X
bibechana-27450	138	2	(	(	PUNCT
bibechana-27450	138	3	−	−	PROPN
bibechana-27450	138	4	𝐵1	𝐵1	NOUN
bibechana-27450	138	5	𝑠	𝑠	PROPN
bibechana-27450	138	6	𝐴1	𝐴1	PROPN
bibechana-27450	138	7	𝑠	𝑠	PROPN
bibechana-27450	138	8	)	)	PUNCT
bibechana-27450	138	9	]	]	PUNCT
bibechana-27450	138	10	is	be	AUX
bibechana-27450	138	11	plotted	plot	VERB
bibechana-27450	138	12	in	in	ADP
bibechana-27450	138	13	dash	dash	NOUN
bibechana-27450	138	14	(	(	PUNCT
bibechana-27450	138	15	red	red	ADJ
bibechana-27450	138	16	)	)	PUNCT
bibechana-27450	138	17	,	,	PUNCT
bibechana-27450	138	18	dot	dot	NOUN
bibechana-27450	138	19	(	(	PUNCT
bibechana-27450	138	20	blue),dash	blue),dash	NOUN
bibechana-27450	138	21	dot(magenta	dot(magenta	ADJ
bibechana-27450	138	22	)	)	PUNCT
bibechana-27450	138	23	and	and	CCONJ
bibechana-27450	138	24	short	short	ADJ
bibechana-27450	138	25	dash	dash	NOUN
bibechana-27450	138	26	dot	dot	NOUN
bibechana-27450	138	27	(	(	PUNCT
bibechana-27450	138	28	navy	navy	NOUN
bibechana-27450	138	29	)	)	PUNCT
bibechana-27450	138	30	styles	style	NOUN
bibechana-27450	138	31	color	color	NOUN
bibechana-27450	138	32	(	(	PUNCT
bibechana-27450	138	33	color	color	NOUN
bibechana-27450	138	34	online	online	NOUN
bibechana-27450	138	35	)	)	PUNCT
bibechana-27450	138	36	for	for	ADP
bibechana-27450	138	37	n=1	n=1	PROPN
bibechana-27450	138	38	,	,	PUNCT
bibechana-27450	138	39	2	2	NUM
bibechana-27450	138	40	,	,	PUNCT
bibechana-27450	138	41	3	3	NUM
bibechana-27450	138	42	and	and	CCONJ
bibechana-27450	138	43	4	4	NUM
bibechana-27450	138	44	respectively	respectively	ADV
bibechana-27450	138	45	.	.	PUNCT
bibechana-27450	139	1	the	the	DET
bibechana-27450	139	2	eigen	eigen	PROPN
bibechana-27450	139	3	values	value	NOUN
bibechana-27450	139	4	of	of	ADP
bibechana-27450	139	5	energy	energy	NOUN
bibechana-27450	139	6	for	for	ADP
bibechana-27450	139	7	the	the	DET
bibechana-27450	139	8	symmetric	symmetric	ADJ
bibechana-27450	139	9	states	state	NOUN
bibechana-27450	139	10	for	for	ADP
bibechana-27450	139	11	n=1	n=1	PROPN
bibechana-27450	139	12	,	,	PUNCT
bibechana-27450	139	13	2	2	NUM
bibechana-27450	139	14	and	and	CCONJ
bibechana-27450	139	15	3	3	NUM
bibechana-27450	139	16	,	,	PUNCT
bibechana-27450	139	17	in	in	ADP
bibechana-27450	139	18	ev	ev	NOUN
bibechana-27450	139	19	,	,	PUNCT
bibechana-27450	139	20	are	be	AUX
bibechana-27450	139	21	0.0147000839	0.0147000839	NUM
bibechana-27450	139	22	,	,	PUNCT
bibechana-27450	139	23	0.136077023	0.136077023	NUM
bibechana-27450	139	24	and	and	CCONJ
bibechana-27450	139	25	0.156888216	0.156888216	NUM
bibechana-27450	139	26	respectively	respectively	ADV
bibechana-27450	139	27	.	.	PUNCT
bibechana-27450	140	1	fig	fig	NOUN
bibechana-27450	140	2	.	.	PUNCT
bibechana-27450	141	1	2(b	2(b	NUM
bibechana-27450	141	2	)	)	PUNCT
bibechana-27450	141	3	shows	show	VERB
bibechana-27450	141	4	similar	similar	ADJ
bibechana-27450	141	5	plots	plot	NOUN
bibechana-27450	141	6	of	of	ADP
bibechana-27450	141	7	𝑌1	𝑌1	NOUN
bibechana-27450	141	8	and	and	CCONJ
bibechana-27450	141	9	𝑌2	𝑌2	NOUN
bibechana-27450	141	10	in	in	ADP
bibechana-27450	141	11	the	the	DET
bibechana-27450	141	12	same	same	ADJ
bibechana-27450	141	13	colors	color	NOUN
bibechana-27450	141	14	and	and	CCONJ
bibechana-27450	141	15	styles	style	NOUN
bibechana-27450	141	16	for	for	ADP
bibechana-27450	141	17	n=1	n=1	PUNCT
bibechana-27450	141	18	to	to	ADP
bibechana-27450	141	19	4	4	NUM
bibechana-27450	141	20	for	for	ADP
bibechana-27450	141	21	anti	anti	ADJ
bibechana-27450	141	22	-	-	ADJ
bibechana-27450	141	23	symmetric	symmetric	ADJ
bibechana-27450	141	24	states	state	NOUN
bibechana-27450	141	25	.	.	PUNCT
bibechana-27450	142	1	the	the	DET
bibechana-27450	142	2	anti	anti	ADJ
bibechana-27450	142	3	-	-	ADJ
bibechana-27450	142	4	symmetric	symmetric	ADJ
bibechana-27450	142	5	energy	energy	NOUN
bibechana-27450	142	6	eigen	eigen	PROPN
bibechana-27450	142	7	values	value	NOUN
bibechana-27450	142	8	are	be	AUX
bibechana-27450	142	9	0.0147488590	0.0147488590	NUM
bibechana-27450	142	10	,	,	PUNCT
bibechana-27450	142	11	0.137090183	0.137090183	NUM
bibechana-27450	142	12	and	and	CCONJ
bibechana-27450	142	13	0.15718252	0.15718252	NUM
bibechana-27450	142	14	in	in	ADP
bibechana-27450	142	15	ev	ev	ADP
bibechana-27450	142	16	the	the	DET
bibechana-27450	142	17	states	state	NOUN
bibechana-27450	142	18	n=1,2	n=1,2	ADJ
bibechana-27450	142	19	and	and	CCONJ
bibechana-27450	142	20	3	3	NUM
bibechana-27450	142	21	respectively	respectively	ADV
bibechana-27450	142	22	.	.	PUNCT
bibechana-27450	143	1	for	for	ADP
bibechana-27450	143	2	simplicity	simplicity	NOUN
bibechana-27450	143	3	,	,	PUNCT
bibechana-27450	143	4	only	only	ADV
bibechana-27450	143	5	the	the	DET
bibechana-27450	143	6	lowest	low	ADJ
bibechana-27450	143	7	symmetric	symmetric	NOUN
bibechana-27450	143	8	and	and	CCONJ
bibechana-27450	143	9	antisymmetric	antisymmetric	ADJ
bibechana-27450	143	10	state	state	NOUN
bibechana-27450	143	11	for	for	ADP
bibechana-27450	143	12	n=1	n=1	PROPN
bibechana-27450	143	13	are	be	AUX
bibechana-27450	143	14	considered	consider	VERB
bibechana-27450	143	15	in	in	ADP
bibechana-27450	143	16	the	the	DET
bibechana-27450	143	17	calculation	calculation	NOUN
bibechana-27450	143	18	.	.	PUNCT
bibechana-27450	144	1	the	the	DET
bibechana-27450	144	2	energy	energy	NOUN
bibechana-27450	144	3	of	of	ADP
bibechana-27450	144	4	the	the	DET
bibechana-27450	144	5	lowest	low	ADJ
bibechana-27450	144	6	antisymmetric	antisymmetric	ADJ
bibechana-27450	144	7	state	state	NOUN
bibechana-27450	144	8	is	be	AUX
bibechana-27450	144	9	slightly	slightly	ADV
bibechana-27450	144	10	higher	high	ADJ
bibechana-27450	144	11	as	as	SCONJ
bibechana-27450	144	12	compared	compare	VERB
bibechana-27450	144	13	to	to	ADP
bibechana-27450	144	14	the	the	DET
bibechana-27450	144	15	symmetric	symmetric	ADJ
bibechana-27450	144	16	state	state	NOUN
bibechana-27450	144	17	,	,	PUNCT
bibechana-27450	144	18	which	which	PRON
bibechana-27450	144	19	is	be	AUX
bibechana-27450	144	20	clearly	clearly	ADV
bibechana-27450	144	21	seen	see	VERB
bibechana-27450	144	22	in	in	ADP
bibechana-27450	144	23	inset	inset	NOUN
bibechana-27450	144	24	of	of	ADP
bibechana-27450	144	25	the	the	DET
bibechana-27450	144	26	fig	fig	NOUN
bibechana-27450	144	27	.	.	PUNCT
bibechana-27450	145	1	2(c	2(c	NUM
bibechana-27450	145	2	)	)	PUNCT
bibechana-27450	145	3	.	.	PUNCT
bibechana-27450	146	1	the	the	DET
bibechana-27450	146	2	difference	difference	NOUN
bibechana-27450	146	3	∆𝐸	∆𝐸	NOUN
bibechana-27450	146	4	is	be	AUX
bibechana-27450	146	5	0.0000487751	0.0000487751	NUM
bibechana-27450	146	6	𝑒𝑉	𝑒𝑉	PROPN
bibechana-27450	146	7	and	and	CCONJ
bibechana-27450	146	8	is	be	AUX
bibechana-27450	146	9	also	also	ADV
bibechana-27450	146	10	referred	refer	VERB
bibechana-27450	146	11	as	as	ADP
bibechana-27450	146	12	‘	'	PUNCT
bibechana-27450	146	13	energy	energy	NOUN
bibechana-27450	146	14	ting’[16	ting’[16	PROPN
bibechana-27450	146	15	]	]	PUNCT
bibechana-27450	146	16	.	.	PUNCT
bibechana-27450	147	1	fig	fig	NOUN
bibechana-27450	147	2	.	.	PUNCT
bibechana-27450	148	1	3	3	NUM
bibechana-27450	148	2	shows	show	VERB
bibechana-27450	148	3	the	the	DET
bibechana-27450	148	4	variation	variation	NOUN
bibechana-27450	148	5	of	of	ADP
bibechana-27450	148	6	the	the	DET
bibechana-27450	148	7	lowest	low	ADJ
bibechana-27450	148	8	(	(	PUNCT
bibechana-27450	148	9	𝑛	𝑛	NOUN
bibechana-27450	148	10	=	=	SYM
bibechana-27450	148	11	1	1	X
bibechana-27450	148	12	)	)	PUNCT
bibechana-27450	148	13	lying	lie	VERB
bibechana-27450	148	14	anti	anti	ADJ
bibechana-27450	148	15	-	-	ADJ
bibechana-27450	148	16	symmetric	symmetric	ADJ
bibechana-27450	148	17	dash	dash	NOUN
bibechana-27450	148	18	(	(	PUNCT
bibechana-27450	148	19	red	red	ADJ
bibechana-27450	148	20	)	)	PUNCT
bibechana-27450	148	21	and	and	CCONJ
bibechana-27450	148	22	symmetric	symmetric	ADJ
bibechana-27450	148	23	dot	dot	NOUN
bibechana-27450	148	24	(	(	PUNCT
bibechana-27450	148	25	blue	blue	ADJ
bibechana-27450	148	26	)	)	PUNCT
bibechana-27450	148	27	wave	wave	NOUN
bibechana-27450	148	28	functions	function	NOUN
bibechana-27450	148	29	as	as	ADP
bibechana-27450	148	30	a	a	DET
bibechana-27450	148	31	function	function	NOUN
bibechana-27450	148	32	of	of	ADP
bibechana-27450	148	33	the	the	DET
bibechana-27450	148	34	width	width	NOUN
bibechana-27450	148	35	of	of	ADP
bibechana-27450	148	36	the	the	DET
bibechana-27450	148	37	sqw	sqw	NOUN
bibechana-27450	148	38	.	.	PUNCT
bibechana-27450	149	1	it	it	PRON
bibechana-27450	149	2	shows	show	VERB
bibechana-27450	149	3	the	the	DET
bibechana-27450	149	4	amplitude	amplitude	NOUN
bibechana-27450	149	5	of	of	ADP
bibechana-27450	149	6	the	the	DET
bibechana-27450	149	7	two	two	NUM
bibechana-27450	149	8	waves	wave	NOUN
bibechana-27450	149	9	,	,	PUNCT
bibechana-27450	149	10	which	which	PRON
bibechana-27450	149	11	are	be	AUX
bibechana-27450	149	12	in	in	ADP
bibechana-27450	149	13	phase	phase	NOUN
bibechana-27450	149	14	in	in	ADP
bibechana-27450	149	15	the	the	DET
bibechana-27450	149	16	right	right	ADJ
bibechana-27450	149	17	half	half	NOUN
bibechana-27450	149	18	and	and	CCONJ
bibechana-27450	149	19	amplitude	amplitude	NOUN
bibechana-27450	149	20	peaks	peak	NOUN
bibechana-27450	149	21	in	in	ADP
bibechana-27450	149	22	this	this	DET
bibechana-27450	149	23	region	region	NOUN
bibechana-27450	149	24	.	.	PUNCT
bibechana-27450	150	1	they	they	PRON
bibechana-27450	150	2	are	be	AUX
bibechana-27450	150	3	out	out	ADP
bibechana-27450	150	4	of	of	ADP
bibechana-27450	150	5	phase	phase	NOUN
bibechana-27450	150	6	in	in	ADP
bibechana-27450	150	7	the	the	DET
bibechana-27450	150	8	left	left	ADJ
bibechana-27450	150	9	hand	hand	NOUN
bibechana-27450	150	10	side	side	NOUN
bibechana-27450	150	11	and	and	CCONJ
bibechana-27450	150	12	cancel	cancel	VERB
bibechana-27450	150	13	each	each	DET
bibechana-27450	150	14	other	other	ADJ
bibechana-27450	150	15	.	.	PUNCT
bibechana-27450	151	1	the	the	DET
bibechana-27450	151	2	time	time	NOUN
bibechana-27450	151	3	evolution	evolution	NOUN
bibechana-27450	151	4	of	of	ADP
bibechana-27450	151	5	the	the	DET
bibechana-27450	151	6	combined	combine	VERB
bibechana-27450	151	7	wave	wave	NOUN
bibechana-27450	151	8	function	function	NOUN
bibechana-27450	151	9	is	be	AUX
bibechana-27450	151	10	displayed	display	VERB
bibechana-27450	151	11	in	in	ADP
bibechana-27450	151	12	fig	fig	NOUN
bibechana-27450	151	13	.	.	PUNCT
bibechana-27450	152	1	4.(a	4.(a	NUM
bibechana-27450	152	2	)	)	PUNCT
bibechana-27450	152	3	,	,	PUNCT
bibechana-27450	152	4	(	(	PUNCT
bibechana-27450	152	5	b	b	X
bibechana-27450	152	6	)	)	PUNCT
bibechana-27450	152	7	and	and	CCONJ
bibechana-27450	152	8	(	(	PUNCT
bibechana-27450	152	9	c	c	NOUN
bibechana-27450	152	10	)	)	PUNCT
bibechana-27450	152	11	,	,	PUNCT
bibechana-27450	152	12	which	which	PRON
bibechana-27450	152	13	show	show	VERB
bibechana-27450	152	14	the	the	DET
bibechana-27450	152	15	probability	probability	NOUN
bibechana-27450	152	16	of	of	ADP
bibechana-27450	152	17	finding	find	VERB
bibechana-27450	152	18	a	a	DET
bibechana-27450	152	19	particle	particle	NOUN
bibechana-27450	152	20	with	with	ADP
bibechana-27450	152	21	position	position	NOUN
bibechana-27450	152	22	within	within	ADP
bibechana-27450	152	23	the	the	DET
bibechana-27450	152	24	sqw	sqw	NOUN
bibechana-27450	152	25	at	at	ADP
bibechana-27450	152	26	different	different	ADJ
bibechana-27450	152	27	instants	instant	NOUN
bibechana-27450	152	28	of	of	ADP
bibechana-27450	152	29	time	time	NOUN
bibechana-27450	152	30	.	.	PUNCT
bibechana-27450	153	1	at	at	ADP
bibechana-27450	153	2	t=0	t=0	ADJ
bibechana-27450	153	3	,	,	PUNCT
bibechana-27450	153	4	fig	fig	NOUN
bibechana-27450	153	5	.	.	PUNCT
bibechana-27450	153	6	4(a	4(a	NUM
bibechana-27450	153	7	)	)	PUNCT
bibechana-27450	153	8	shows	show	VERB
bibechana-27450	153	9	higher	high	ADJ
bibechana-27450	153	10	probability	probability	NOUN
bibechana-27450	153	11	in	in	ADP
bibechana-27450	153	12	the	the	DET
bibechana-27450	153	13	right	right	ADJ
bibechana-27450	153	14	half	half	NOUN
bibechana-27450	153	15	of	of	ADP
bibechana-27450	153	16	the	the	DET
bibechana-27450	153	17	system	system	NOUN
bibechana-27450	153	18	.	.	PUNCT
bibechana-27450	154	1	it	it	PRON
bibechana-27450	154	2	gradually	gradually	ADV
bibechana-27450	154	3	decreases	decrease	VERB
bibechana-27450	154	4	and	and	CCONJ
bibechana-27450	154	5	becomes	become	VERB
bibechana-27450	154	6	nearly	nearly	ADV
bibechana-27450	154	7	equal	equal	ADJ
bibechana-27450	154	8	in	in	ADP
bibechana-27450	154	9	both	both	DET
bibechana-27450	154	10	half	half	NOUN
bibechana-27450	154	11	at	at	ADP
bibechana-27450	154	12	t	t	NOUN
bibechana-27450	154	13	=	=	PUNCT
bibechana-27450	154	14	t/4	t/4	PROPN
bibechana-27450	154	15	,	,	PUNCT
bibechana-27450	154	16	as	as	SCONJ
bibechana-27450	154	17	shown	show	VERB
bibechana-27450	154	18	in	in	ADP
bibechana-27450	154	19	fig	fig	NOUN
bibechana-27450	154	20	.	.	PUNCT
bibechana-27450	155	1	4(b	4(b	NUM
bibechana-27450	155	2	)	)	PUNCT
bibechana-27450	155	3	.	.	PUNCT
bibechana-27450	156	1	then	then	ADV
bibechana-27450	156	2	,	,	PUNCT
bibechana-27450	156	3	the	the	DET
bibechana-27450	156	4	peak	peak	NOUN
bibechana-27450	156	5	starts	start	VERB
bibechana-27450	156	6	to	to	PART
bibechana-27450	156	7	increase	increase	VERB
bibechana-27450	156	8	in	in	ADP
bibechana-27450	156	9	the	the	DET
bibechana-27450	156	10	left	left	ADJ
bibechana-27450	156	11	half	half	NOUN
bibechana-27450	156	12	of	of	ADP
bibechana-27450	156	13	the	the	DET
bibechana-27450	156	14	sqw	sqw	NOUN
bibechana-27450	156	15	.	.	PUNCT
bibechana-27450	157	1	t=	t=	NOUN
bibechana-27450	157	2	t/2	t/2	NUM
bibechana-27450	157	3	,	,	PUNCT
bibechana-27450	157	4	the	the	DET
bibechana-27450	157	5	probability	probability	NOUN
bibechana-27450	157	6	of	of	ADP
bibechana-27450	157	7	finding	find	VERB
bibechana-27450	157	8	the	the	DET
bibechana-27450	157	9	particle	particle	NOUN
bibechana-27450	157	10	in	in	ADP
bibechana-27450	157	11	the	the	DET
bibechana-27450	157	12	left	left	ADJ
bibechana-27450	157	13	half	half	NOUN
bibechana-27450	157	14	of	of	ADP
bibechana-27450	157	15	the	the	DET
bibechana-27450	157	16	system	system	NOUN
bibechana-27450	157	17	s.	s.	PROPN
bibechana-27450	157	18	shrestha	shrestha	PROPN
bibechana-27450	157	19	et	et	PROPN
bibechana-27450	157	20	al	al	PROPN
bibechana-27450	157	21	.	.	PUNCT
bibechana-27450	157	22	/	/	SYM
bibechana-27450	157	23	bibechana	bibechana	NOUN
bibechana-27450	157	24	18	18	NUM
bibechana-27450	157	25	(	(	PUNCT
bibechana-27450	157	26	1	1	NUM
bibechana-27450	157	27	)	)	PUNCT
bibechana-27450	157	28	(	(	PUNCT
bibechana-27450	157	29	2021	2021	NUM
bibechana-27450	157	30	)	)	PUNCT
bibechana-27450	157	31	91	91	NUM
bibechana-27450	157	32	-	-	SYM
bibechana-27450	157	33	99	99	NUM
bibechana-27450	157	34	96	96	NUM
bibechana-27450	157	35	0.0	0.0	NUM
bibechana-27450	157	36	0.1	0.1	NUM
bibechana-27450	157	37	0.2	0.2	NUM
bibechana-27450	157	38	0	0	NUM
bibechana-27450	157	39	4	4	NUM
bibechana-27450	157	40	8	8	NUM
bibechana-27450	157	41	12	12	NUM
bibechana-27450	157	42	l	l	NOUN
bibechana-27450	157	43	b	b	NOUN
bibechana-27450	158	1	=	=	SYM
bibechana-27450	158	2	5	5	NUM
bibechana-27450	158	3	nm	nm	NOUN
bibechana-27450	158	4	m	m	VERB
bibechana-27450	158	5	w	w	NOUN
bibechana-27450	158	6	=	=	NOUN
bibechana-27450	158	7	0.067	0.067	NUM
bibechana-27450	158	8	m	m	NOUN
bibechana-27450	158	9	e	e	NOUN
bibechana-27450	158	10	m	m	PROPN
bibechana-27450	158	11	b	b	NOUN
bibechana-27450	158	12	=	=	X
bibechana-27450	158	13	0.091	0.091	NUM
bibechana-27450	158	14	m	m	NOUN
bibechana-27450	158	15	e	e	NOUN
bibechana-27450	158	16	(	(	PUNCT
bibechana-27450	158	17	a	a	X
bibechana-27450	158	18	)	)	PUNCT
bibechana-27450	158	19	v	v	ADP
bibechana-27450	158	20	o	o	NOUN
bibechana-27450	158	21	=	=	NUM
bibechana-27450	158	22	228	228	NUM
bibechana-27450	158	23	mev	mev	PROPN
bibechana-27450	158	24	l	l	PROPN
bibechana-27450	158	25	w	w	NOUN
bibechana-27450	159	1	=	=	NOUN
bibechana-27450	159	2	4	4	NUM
bibechana-27450	159	3	nm	nm	NOUN
bibechana-27450	159	4	f	f	NOUN
bibechana-27450	159	5	u	u	NOUN
bibechana-27450	159	6	n	n	ADV
bibechana-27450	159	7	c	c	NOUN
bibechana-27450	159	8	ti	ti	NOUN
bibechana-27450	159	9	o	o	PROPN
bibechana-27450	159	10	n	n	CCONJ
bibechana-27450	159	11	y	y	PROPN
bibechana-27450	159	12	1	1	NUM
bibechana-27450	159	13	a	a	DET
bibechana-27450	159	14	n	n	NOUN
bibechana-27450	159	15	d	d	PROPN
bibechana-27450	159	16	y	y	PROPN
bibechana-27450	159	17	2	2	NUM
bibechana-27450	159	18	energy	energy	NOUN
bibechana-27450	159	19	in	in	ADP
bibechana-27450	159	20	ev	ev	PROPN
bibechana-27450	159	21	.	.	PUNCT
bibechana-27450	160	1	fig	fig	NOUN
bibechana-27450	160	2	.	.	PUNCT
bibechana-27450	161	1	2	2	NUM
bibechana-27450	161	2	:	:	PUNCT
bibechana-27450	161	3	(	(	PUNCT
bibechana-27450	161	4	a	a	X
bibechana-27450	161	5	)	)	PUNCT
bibechana-27450	161	6	plot	plot	NOUN
bibechana-27450	161	7	ofy1	ofy1	PROPN
bibechana-27450	162	1	=	=	PUNCT
bibechana-27450	162	2	kw	kw	PROPN
bibechana-27450	162	3	s	s	X
bibechana-27450	162	4	(	(	PUNCT
bibechana-27450	162	5	3	3	NUM
bibechana-27450	162	6	2	2	NUM
bibechana-27450	162	7	lb	lb	NUM
bibechana-27450	162	8	+	+	NUM
bibechana-27450	162	9	2	2	NUM
bibechana-27450	162	10	lw)in	lw)in	ADJ
bibechana-27450	162	11	solid	solid	ADJ
bibechana-27450	162	12	(	(	PUNCT
bibechana-27450	162	13	black	black	ADJ
bibechana-27450	162	14	)	)	PUNCT
bibechana-27450	162	15	line	line	NOUN
bibechana-27450	162	16	andy2	andy2	NOUN
bibechana-27450	162	17	=	=	PUNCT
bibechana-27450	162	18	nπ	nπ	NOUN
bibechana-27450	163	1	+	+	CCONJ
bibechana-27450	163	2	tan−1	tan−1	PROPN
bibechana-27450	164	1	[	[	X
bibechana-27450	164	2	(	(	PUNCT
bibechana-27450	164	3	−	−	PROPN
bibechana-27450	164	4	b1	b1	PROPN
bibechana-27450	164	5	s	s	PART
bibechana-27450	164	6	a1	a1	NOUN
bibechana-27450	164	7	s	s	NOUN
bibechana-27450	164	8	)	)	PUNCT
bibechana-27450	164	9	]	]	PUNCT
bibechana-27450	164	10	in	in	ADP
bibechana-27450	164	11	dash	dash	NOUN
bibechana-27450	164	12	(	(	PUNCT
bibechana-27450	164	13	red	red	ADJ
bibechana-27450	164	14	)	)	PUNCT
bibechana-27450	164	15	,	,	PUNCT
bibechana-27450	164	16	dot	dot	NOUN
bibechana-27450	164	17	(	(	PUNCT
bibechana-27450	164	18	blue	blue	NOUN
bibechana-27450	164	19	)	)	PUNCT
bibechana-27450	164	20	,	,	PUNCT
bibechana-27450	164	21	dash	dash	NOUN
bibechana-27450	164	22	dot	dot	NOUN
bibechana-27450	164	23	(	(	PUNCT
bibechana-27450	164	24	magenta	magenta	NOUN
bibechana-27450	164	25	)	)	PUNCT
bibechana-27450	164	26	and	and	CCONJ
bibechana-27450	164	27	short	short	ADJ
bibechana-27450	164	28	dash	dash	NOUN
bibechana-27450	164	29	dot(navy	dot(navy	NOUN
bibechana-27450	164	30	)	)	PUNCT
bibechana-27450	164	31	styles	style	NOUN
bibechana-27450	164	32	color	color	NOUN
bibechana-27450	164	33	(	(	PUNCT
bibechana-27450	164	34	color	color	NOUN
bibechana-27450	164	35	online	online	NOUN
bibechana-27450	164	36	)	)	PUNCT
bibechana-27450	164	37	for	for	ADP
bibechana-27450	164	38	n=1	n=1	PROPN
bibechana-27450	164	39	,	,	PUNCT
bibechana-27450	164	40	2	2	NUM
bibechana-27450	164	41	,	,	PUNCT
bibechana-27450	164	42	3	3	NUM
bibechana-27450	164	43	and	and	CCONJ
bibechana-27450	164	44	4	4	NUM
bibechana-27450	164	45	respectively	respectively	ADV
bibechana-27450	164	46	for	for	ADP
bibechana-27450	164	47	symmetric	symmetric	ADJ
bibechana-27450	164	48	states	state	NOUN
bibechana-27450	164	49	.	.	PUNCT
bibechana-27450	165	1	the	the	DET
bibechana-27450	165	2	intersecting	intersecting	ADJ
bibechana-27450	165	3	values	value	NOUN
bibechana-27450	165	4	of	of	ADP
bibechana-27450	165	5	abscissa	abscissa	NOUN
bibechana-27450	165	6	give	give	VERB
bibechana-27450	165	7	the	the	DET
bibechana-27450	165	8	energy	energy	NOUN
bibechana-27450	165	9	of	of	ADP
bibechana-27450	165	10	symmetric	symmetric	ADJ
bibechana-27450	165	11	states	state	NOUN
bibechana-27450	165	12	.	.	PUNCT
bibechana-27450	166	1	(	(	PUNCT
bibechana-27450	166	2	b	b	X
bibechana-27450	166	3	)	)	PUNCT
bibechana-27450	166	4	similar	similar	ADJ
bibechana-27450	166	5	plot	plot	NOUN
bibechana-27450	166	6	of	of	ADP
bibechana-27450	166	7	y1	y1	NOUN
bibechana-27450	166	8	in	in	ADP
bibechana-27450	166	9	solid	solid	ADJ
bibechana-27450	166	10	(	(	PUNCT
bibechana-27450	166	11	black	black	ADJ
bibechana-27450	166	12	)	)	PUNCT
bibechana-27450	166	13	line	line	NOUN
bibechana-27450	166	14	and	and	CCONJ
bibechana-27450	166	15	y2	y2	PROPN
bibechana-27450	166	16	in	in	ADP
bibechana-27450	166	17	different	different	ADJ
bibechana-27450	166	18	style	style	NOUN
bibechana-27450	166	19	and	and	CCONJ
bibechana-27450	166	20	color	color	NOUN
bibechana-27450	166	21	line	line	NOUN
bibechana-27450	166	22	showing	show	VERB
bibechana-27450	166	23	the	the	DET
bibechana-27450	166	24	energy	energy	NOUN
bibechana-27450	166	25	of	of	ADP
bibechana-27450	166	26	anti	anti	ADJ
bibechana-27450	166	27	-	-	ADJ
bibechana-27450	166	28	symmetric	symmetric	ADJ
bibechana-27450	166	29	states	state	NOUN
bibechana-27450	166	30	.	.	PUNCT
bibechana-27450	167	1	(	(	PUNCT
bibechana-27450	167	2	c	c	X
bibechana-27450	167	3	)	)	PUNCT
bibechana-27450	167	4	expanded	expand	VERB
bibechana-27450	167	5	view	view	NOUN
bibechana-27450	167	6	of	of	ADP
bibechana-27450	167	7	the	the	DET
bibechana-27450	167	8	lowest	low	ADJ
bibechana-27450	167	9	symmetric	symmetric	NOUN
bibechana-27450	167	10	in	in	ADP
bibechana-27450	167	11	dash	dash	NOUN
bibechana-27450	167	12	(	(	PUNCT
bibechana-27450	167	13	red	red	ADJ
bibechana-27450	167	14	)	)	PUNCT
bibechana-27450	167	15	and	and	CCONJ
bibechana-27450	167	16	anti	anti	ADJ
bibechana-27450	167	17	-	-	ADJ
bibechana-27450	167	18	symmetric	symmetric	ADJ
bibechana-27450	167	19	in	in	ADP
bibechana-27450	167	20	solid	solid	ADJ
bibechana-27450	167	21	(	(	PUNCT
bibechana-27450	167	22	blue	blue	ADJ
bibechana-27450	167	23	)	)	PUNCT
bibechana-27450	167	24	states	state	NOUN
bibechana-27450	167	25	(	(	PUNCT
bibechana-27450	167	26	online	online	ADJ
bibechana-27450	167	27	)	)	PUNCT
bibechana-27450	167	28	of	of	ADP
bibechana-27450	167	29	the	the	DET
bibechana-27450	167	30	curvesare	curvesare	NOUN
bibechana-27450	167	31	shown	show	VERB
bibechana-27450	167	32	in	in	ADP
bibechana-27450	167	33	the	the	DET
bibechana-27450	167	34	inset	inset	NOUN
bibechana-27450	167	35	view	view	NOUN
bibechana-27450	167	36	.	.	PUNCT
bibechana-27450	168	1	0.0	0.0	NUM
bibechana-27450	168	2	0.1	0.1	NUM
bibechana-27450	168	3	0.2	0.2	NUM
bibechana-27450	168	4	0	0	NUM
bibechana-27450	168	5	4	4	NUM
bibechana-27450	168	6	8	8	NUM
bibechana-27450	168	7	12	12	NUM
bibechana-27450	168	8	l	l	NOUN
bibechana-27450	168	9	b	b	NOUN
bibechana-27450	169	1	=	=	SYM
bibechana-27450	169	2	5	5	NUM
bibechana-27450	169	3	nm	nm	NOUN
bibechana-27450	169	4	m	m	VERB
bibechana-27450	169	5	w	w	NOUN
bibechana-27450	169	6	=	=	NOUN
bibechana-27450	169	7	0.067	0.067	NUM
bibechana-27450	169	8	m	m	NOUN
bibechana-27450	169	9	e	e	NOUN
bibechana-27450	169	10	m	m	PROPN
bibechana-27450	169	11	b	b	NOUN
bibechana-27450	169	12	=	=	X
bibechana-27450	169	13	0.091	0.091	NUM
bibechana-27450	169	14	m	m	NOUN
bibechana-27450	169	15	e	e	NOUN
bibechana-27450	169	16	v	v	ADP
bibechana-27450	169	17	o	o	NOUN
bibechana-27450	169	18	=	=	NUM
bibechana-27450	169	19	228	228	NUM
bibechana-27450	169	20	mev	mev	PROPN
bibechana-27450	169	21	l	l	PROPN
bibechana-27450	169	22	w	w	NOUN
bibechana-27450	170	1	=	=	NOUN
bibechana-27450	170	2	4	4	NUM
bibechana-27450	170	3	nm	nm	NOUN
bibechana-27450	170	4	(	(	PUNCT
bibechana-27450	170	5	b	b	NOUN
bibechana-27450	170	6	)	)	PUNCT
bibechana-27450	170	7	f	f	PROPN
bibechana-27450	170	8	u	u	NOUN
bibechana-27450	170	9	n	n	PROPN
bibechana-27450	170	10	c	c	NOUN
bibechana-27450	170	11	ti	ti	NOUN
bibechana-27450	170	12	o	o	PROPN
bibechana-27450	170	13	n	n	CCONJ
bibechana-27450	170	14	y	y	PROPN
bibechana-27450	170	15	1	1	NUM
bibechana-27450	170	16	a	a	DET
bibechana-27450	170	17	n	n	NOUN
bibechana-27450	170	18	d	d	PROPN
bibechana-27450	170	19	y	y	PROPN
bibechana-27450	170	20	2	2	NUM
bibechana-27450	170	21	energy	energy	NOUN
bibechana-27450	170	22	in	in	ADP
bibechana-27450	170	23	ev	ev	ADP
bibechana-27450	170	24	0.0147000	0.0147000	NUM
bibechana-27450	170	25	0.0147001	0.0147001	NUM
bibechana-27450	170	26	2.49950	2.49950	NUM
bibechana-27450	170	27	2.49975	2.49975	NUM
bibechana-27450	170	28	2.50000	2.50000	NUM
bibechana-27450	170	29	0.00	0.00	NUM
bibechana-27450	170	30	0.05	0.05	NUM
bibechana-27450	170	31	0.10	0.10	NUM
bibechana-27450	170	32	0.15	0.15	NUM
bibechana-27450	170	33	0	0	NUM
bibechana-27450	170	34	2	2	NUM
bibechana-27450	170	35	4	4	NUM
bibechana-27450	170	36	6	6	NUM
bibechana-27450	170	37	f	f	NOUN
bibechana-27450	170	38	u	u	NOUN
bibechana-27450	170	39	n	n	ADV
bibechana-27450	170	40	c	c	NOUN
bibechana-27450	170	41	ti	ti	NOUN
bibechana-27450	170	42	o	o	PROPN
bibechana-27450	170	43	n	n	CCONJ
bibechana-27450	170	44	y	y	PROPN
bibechana-27450	170	45	1	1	NUM
bibechana-27450	170	46	a	a	DET
bibechana-27450	170	47	n	n	NOUN
bibechana-27450	170	48	d	d	PROPN
bibechana-27450	170	49	y	y	PROPN
bibechana-27450	170	50	2	2	NUM
bibechana-27450	170	51	energy	energy	NOUN
bibechana-27450	170	52	in	in	ADP
bibechana-27450	170	53	ev	ev	PROPN
bibechana-27450	170	54	(	(	PUNCT
bibechana-27450	170	55	c	c	NOUN
bibechana-27450	170	56	)	)	PUNCT
bibechana-27450	170	57	symmetric	symmetric	ADJ
bibechana-27450	170	58	antisymmetric	antisymmetric	ADJ
bibechana-27450	170	59	energy	energy	NOUN
bibechana-27450	170	60	in	in	ADP
bibechana-27450	170	61	ev	ev	PROPN
bibechana-27450	170	62	e	e	ADJ
bibechana-27450	170	63	s.	s.	PROPN
bibechana-27450	170	64	shrestha	shrestha	PROPN
bibechana-27450	170	65	et	et	PROPN
bibechana-27450	170	66	al	al	PROPN
bibechana-27450	170	67	.	.	PUNCT
bibechana-27450	170	68	/	/	SYM
bibechana-27450	170	69	bibechana	bibechana	NOUN
bibechana-27450	170	70	18	18	NUM
bibechana-27450	170	71	(	(	PUNCT
bibechana-27450	170	72	1	1	NUM
bibechana-27450	170	73	)	)	PUNCT
bibechana-27450	170	74	(	(	PUNCT
bibechana-27450	170	75	2021	2021	NUM
bibechana-27450	170	76	)	)	PUNCT
bibechana-27450	170	77	91	91	NUM
bibechana-27450	170	78	-	-	SYM
bibechana-27450	170	79	99	99	NUM
bibechana-27450	170	80	97	97	NUM
bibechana-27450	170	81	fig	fig	NOUN
bibechana-27450	170	82	.	.	PUNCT
bibechana-27450	171	1	3	3	NUM
bibechana-27450	171	2	:	:	PUNCT
bibechana-27450	171	3	the	the	DET
bibechana-27450	171	4	lowest	low	ADJ
bibechana-27450	171	5	symmetric	symmetric	ADJ
bibechana-27450	171	6	and	and	CCONJ
bibechana-27450	171	7	anti	anti	ADJ
bibechana-27450	171	8	-	-	ADJ
bibechana-27450	171	9	symmetric	symmetric	ADJ
bibechana-27450	171	10	wave	wave	NOUN
bibechana-27450	171	11	functions	function	NOUN
bibechana-27450	171	12	,	,	PUNCT
bibechana-27450	171	13	shown	show	VERB
bibechana-27450	171	14	by	by	ADP
bibechana-27450	171	15	solid	solid	ADJ
bibechana-27450	171	16	(	(	PUNCT
bibechana-27450	171	17	blue	blue	ADJ
bibechana-27450	171	18	)	)	PUNCT
bibechana-27450	171	19	and	and	CCONJ
bibechana-27450	171	20	dash	dash	NOUN
bibechana-27450	171	21	(	(	PUNCT
bibechana-27450	171	22	red	red	ADJ
bibechana-27450	171	23	)	)	PUNCT
bibechana-27450	171	24	line	line	NOUN
bibechana-27450	171	25	(	(	PUNCT
bibechana-27450	171	26	color	color	NOUN
bibechana-27450	171	27	online)respectively	online)respectively	ADV
bibechana-27450	171	28	versus	versus	ADP
bibechana-27450	171	29	the	the	DET
bibechana-27450	171	30	net	net	ADJ
bibechana-27450	171	31	width	width	NOUN
bibechana-27450	171	32	of	of	ADP
bibechana-27450	171	33	the	the	DET
bibechana-27450	171	34	sqw	sqw	NOUN
bibechana-27450	171	35	.	.	PUNCT
bibechana-27450	172	1	here	here	ADV
bibechana-27450	172	2	,	,	PUNCT
bibechana-27450	172	3	v0=228	v0=228	PROPN
bibechana-27450	172	4	mev	mev	PROPN
bibechana-27450	172	5	,	,	PUNCT
bibechana-27450	172	6	width	width	NOUN
bibechana-27450	172	7	of	of	ADP
bibechana-27450	172	8	each	each	DET
bibechana-27450	172	9	barrier	barrier	NOUN
bibechana-27450	172	10	region	region	NOUN
bibechana-27450	172	11	(	(	PUNCT
bibechana-27450	172	12	lb)=5	lb)=5	NOUN
bibechana-27450	172	13	nm	nm	ADJ
bibechana-27450	172	14	and	and	CCONJ
bibechana-27450	172	15	width	width	VERB
bibechana-27450	172	16	of	of	ADP
bibechana-27450	172	17	each	each	DET
bibechana-27450	172	18	well	well	NOUN
bibechana-27450	172	19	region	region	NOUN
bibechana-27450	172	20	(	(	PUNCT
bibechana-27450	172	21	lw)=4	lw)=4	NOUN
bibechana-27450	172	22	nm	nm	PROPN
bibechana-27450	172	23	.	.	PUNCT
bibechana-27450	172	24	fig	fig	NOUN
bibechana-27450	172	25	.	.	PUNCT
bibechana-27450	173	1	4	4	NUM
bibechana-27450	173	2	:	:	PUNCT
bibechana-27450	173	3	probability	probability	NOUN
bibechana-27450	173	4	distribution	distribution	NOUN
bibechana-27450	173	5	of	of	ADP
bibechana-27450	173	6	finding	find	VERB
bibechana-27450	173	7	a	a	DET
bibechana-27450	173	8	charged	charge	VERB
bibechana-27450	173	9	particle	particle	NOUN
bibechana-27450	173	10	in	in	ADP
bibechana-27450	173	11	different	different	ADJ
bibechana-27450	173	12	spatial	spatial	ADJ
bibechana-27450	173	13	region	region	NOUN
bibechana-27450	173	14	within	within	ADP
bibechana-27450	173	15	the	the	DET
bibechana-27450	173	16	sqw	sqw	NOUN
bibechana-27450	173	17	with	with	ADP
bibechana-27450	173	18	height	height	NOUN
bibechana-27450	173	19	of	of	ADP
bibechana-27450	173	20	barrier	barrier	NOUN
bibechana-27450	173	21	region	region	NOUN
bibechana-27450	173	22	v0=	v0=	PROPN
bibechana-27450	173	23	228	228	NUM
bibechana-27450	173	24	mev	mev	NOUN
bibechana-27450	173	25	,	,	PUNCT
bibechana-27450	173	26	width	width	NOUN
bibechana-27450	173	27	of	of	ADP
bibechana-27450	173	28	barrier	barrier	NOUN
bibechana-27450	173	29	region	region	NOUN
bibechana-27450	173	30	lb=5	lb=5	NOUN
bibechana-27450	173	31	nm	nm	NOUN
bibechana-27450	173	32	at	at	ADP
bibechana-27450	173	33	time(t)=0	time(t)=0	NOUN
bibechana-27450	173	34	,	,	PUNCT
bibechana-27450	173	35	t=	t=	PRON
bibechana-27450	173	36	t/4	t/4	PROPN
bibechana-27450	173	37	and	and	CCONJ
bibechana-27450	173	38	t	t	X
bibechana-27450	173	39	=	=	NOUN
bibechana-27450	173	40	t/2	t/2	X
bibechana-27450	173	41	shown	show	VERB
bibechana-27450	173	42	by	by	ADP
bibechana-27450	173	43	solid	solid	ADJ
bibechana-27450	173	44	(	(	PUNCT
bibechana-27450	173	45	black	black	NOUN
bibechana-27450	173	46	)	)	PUNCT
bibechana-27450	173	47	,	,	PUNCT
bibechana-27450	173	48	dash	dash	NOUN
bibechana-27450	173	49	(	(	PUNCT
bibechana-27450	173	50	red	red	ADJ
bibechana-27450	173	51	)	)	PUNCT
bibechana-27450	173	52	and	and	CCONJ
bibechana-27450	173	53	dash	dash	NOUN
bibechana-27450	173	54	-	-	PUNCT
bibechana-27450	173	55	dot	dot	NOUN
bibechana-27450	173	56	(	(	PUNCT
bibechana-27450	173	57	blue	blue	NOUN
bibechana-27450	173	58	)	)	PUNCT
bibechana-27450	173	59	(	(	PUNCT
bibechana-27450	173	60	color	color	NOUN
bibechana-27450	173	61	online	online	NOUN
bibechana-27450	173	62	)	)	PUNCT
bibechana-27450	173	63	line	line	NOUN
bibechana-27450	173	64	respectively	respectively	ADV
bibechana-27450	173	65	.	.	PUNCT
bibechana-27450	174	1	-10	-10	PUNCT
bibechana-27450	175	1	0	0	NUM
bibechana-27450	176	1	10	10	NUM
bibechana-27450	176	2	-40	-40	NUM
bibechana-27450	176	3	-20	-20	NUM
bibechana-27450	176	4	0	0	NUM
bibechana-27450	176	5	20	20	NUM
bibechana-27450	176	6	40	40	NUM
bibechana-27450	176	7	lowest	low	ADJ
bibechana-27450	176	8	anti	anti	ADJ
bibechana-27450	176	9	-	-	ADJ
bibechana-27450	176	10	symmetric	symmetric	ADJ
bibechana-27450	176	11			NOUN
bibechana-27450	176	12	a	a	DET
bibechana-27450	176	13	lowest	low	ADJ
bibechana-27450	176	14	symmetric	symmetric	ADJ
bibechana-27450	176	15			NOUN
bibechana-27450	176	16	s	s	NOUN
bibechana-27450	176	17	w	w	NOUN
bibechana-27450	176	18	a	a	DET
bibechana-27450	176	19	v	v	X
bibechana-27450	176	20	e	e	NOUN
bibechana-27450	176	21	a	a	DET
bibechana-27450	176	22	m	m	NOUN
bibechana-27450	176	23	p	p	NOUN
bibechana-27450	177	1	li	li	X
bibechana-27450	177	2	tu	tu	PROPN
bibechana-27450	177	3	d	d	PROPN
bibechana-27450	177	4	e	e	PROPN
bibechana-27450	177	5			NOUN
bibechana-27450	177	6	position	position	NOUN
bibechana-27450	177	7	(	(	PUNCT
bibechana-27450	177	8	z	z	NOUN
bibechana-27450	177	9	)	)	PUNCT
bibechana-27450	177	10	in	in	ADP
bibechana-27450	177	11	nm	nm	PRON
bibechana-27450	177	12	-10	-10	PUNCT
bibechana-27450	177	13	0	0	NUM
bibechana-27450	177	14	10	10	NUM
bibechana-27450	177	15	0.0	0.0	NUM
bibechana-27450	177	16	0.5	0.5	NUM
bibechana-27450	177	17	1.0	1.0	NUM
bibechana-27450	177	18	0.0	0.0	NUM
bibechana-27450	177	19	0.5	0.5	NUM
bibechana-27450	177	20	1.0	1.0	NUM
bibechana-27450	177	21	time	time	NOUN
bibechana-27450	177	22	(	(	PUNCT
bibechana-27450	177	23	t)=51	t)=51	NUM
bibechana-27450	177	24	time	time	NOUN
bibechana-27450	177	25	(	(	PUNCT
bibechana-27450	177	26	t)=0time	t)=0time	NOUN
bibechana-27450	177	27	(	(	PUNCT
bibechana-27450	177	28	t)=102	t)=102	X
bibechana-27450	177	29	p	p	X
bibechana-27450	177	30	ro	ro	PROPN
bibechana-27450	177	31	b	b	PROPN
bibechana-27450	177	32	a	a	DET
bibechana-27450	177	33	b	b	X
bibechana-27450	177	34	il	il	INTJ
bibechana-27450	177	35	it	it	PRON
bibechana-27450	177	36	y	y	PROPN
bibechana-27450	177	37	a	a	DET
bibechana-27450	177	38	m	m	VERB
bibechana-27450	177	39	p	p	X
bibechana-27450	177	40	li	li	X
bibechana-27450	177	41	tu	tu	PROPN
bibechana-27450	177	42	d	d	PROPN
bibechana-27450	177	43	e	e	X
bibechana-27450	177	44	p	p	PROPN
bibechana-27450	177	45	(	(	PUNCT
bibechana-27450	177	46	z	z	NOUN
bibechana-27450	177	47	,	,	PUNCT
bibechana-27450	177	48	t	t	NOUN
bibechana-27450	177	49	)	)	PUNCT
bibechana-27450	177	50	position	position	NOUN
bibechana-27450	177	51	(	(	PUNCT
bibechana-27450	177	52	z	z	NOUN
bibechana-27450	177	53	)	)	PUNCT
bibechana-27450	177	54	in	in	ADP
bibechana-27450	177	55	nm	nm	ADJ
bibechana-27450	177	56	s.	s.	PROPN
bibechana-27450	177	57	shrestha	shrestha	PROPN
bibechana-27450	177	58	et	et	PROPN
bibechana-27450	177	59	al	al	PROPN
bibechana-27450	177	60	.	.	PUNCT
bibechana-27450	177	61	/	/	SYM
bibechana-27450	177	62	bibechana	bibechana	NOUN
bibechana-27450	177	63	18	18	NUM
bibechana-27450	177	64	(	(	PUNCT
bibechana-27450	177	65	1	1	NUM
bibechana-27450	177	66	)	)	PUNCT
bibechana-27450	177	67	(	(	PUNCT
bibechana-27450	177	68	2021	2021	NUM
bibechana-27450	177	69	)	)	PUNCT
bibechana-27450	177	70	91	91	NUM
bibechana-27450	177	71	-	-	SYM
bibechana-27450	177	72	99	99	NUM
bibechana-27450	177	73	98	98	NUM
bibechana-27450	177	74	becomes	become	VERB
bibechana-27450	177	75	the	the	DET
bibechana-27450	177	76	largest	large	ADJ
bibechana-27450	177	77	,	,	PUNCT
bibechana-27450	177	78	as	as	SCONJ
bibechana-27450	177	79	shown	show	VERB
bibechana-27450	177	80	in	in	ADP
bibechana-27450	177	81	fig	fig	NOUN
bibechana-27450	177	82	.	.	PUNCT
bibechana-27450	178	1	4(c	4(c	NUM
bibechana-27450	178	2	)	)	PUNCT
bibechana-27450	178	3	.	.	PUNCT
bibechana-27450	179	1	thus	thus	ADV
bibechana-27450	179	2	,	,	PUNCT
bibechana-27450	179	3	the	the	DET
bibechana-27450	179	4	particle	particle	NOUN
bibechana-27450	179	5	which	which	PRON
bibechana-27450	179	6	initially	initially	ADV
bibechana-27450	179	7	was	be	AUX
bibechana-27450	179	8	in	in	ADP
bibechana-27450	179	9	the	the	DET
bibechana-27450	179	10	left	left	ADJ
bibechana-27450	179	11	region	region	NOUN
bibechana-27450	179	12	of	of	ADP
bibechana-27450	179	13	system	system	NOUN
bibechana-27450	179	14	tunneled	tunnel	VERB
bibechana-27450	179	15	through	through	ADP
bibechana-27450	179	16	all	all	DET
bibechana-27450	179	17	the	the	DET
bibechana-27450	179	18	barriers	barrier	NOUN
bibechana-27450	179	19	to	to	PART
bibechana-27450	179	20	reach	reach	VERB
bibechana-27450	179	21	to	to	ADP
bibechana-27450	179	22	the	the	DET
bibechana-27450	179	23	right	right	ADJ
bibechana-27450	179	24	part	part	NOUN
bibechana-27450	179	25	of	of	ADP
bibechana-27450	179	26	the	the	DET
bibechana-27450	179	27	system	system	NOUN
bibechana-27450	179	28	,	,	PUNCT
bibechana-27450	179	29	giving	give	VERB
bibechana-27450	179	30	rise	rise	NOUN
bibechana-27450	179	31	to	to	ADP
bibechana-27450	179	32	tunneling	tunneling	NOUN
bibechana-27450	179	33	-	-	PUNCT
bibechana-27450	179	34	oscillation	oscillation	NOUN
bibechana-27450	179	35	phenomenon	phenomenon	NOUN
bibechana-27450	179	36	.	.	PUNCT
bibechana-27450	180	1	the	the	DET
bibechana-27450	180	2	time	time	NOUN
bibechana-27450	180	3	taken	take	VERB
bibechana-27450	180	4	by	by	ADP
bibechana-27450	180	5	particle	particle	NOUN
bibechana-27450	180	6	to	to	PART
bibechana-27450	180	7	tunnel	tunnel	VERB
bibechana-27450	180	8	through	through	ADP
bibechana-27450	180	9	the	the	DET
bibechana-27450	180	10	barrier	barrier	NOUN
bibechana-27450	180	11	is	be	AUX
bibechana-27450	180	12	found	find	VERB
bibechana-27450	180	13	to	to	PART
bibechana-27450	180	14	be	be	AUX
bibechana-27450	180	15	102	102	NUM
bibechana-27450	180	16	units	unit	NOUN
bibechana-27450	180	17	of	of	ADP
bibechana-27450	180	18	time	time	NOUN
bibechana-27450	180	19	,	,	PUNCT
bibechana-27450	180	20	which	which	PRON
bibechana-27450	180	21	is	be	AUX
bibechana-27450	180	22	half	half	NOUN
bibechana-27450	180	23	of	of	ADP
bibechana-27450	180	24	the	the	DET
bibechana-27450	180	25	time	time	NOUN
bibechana-27450	180	26	period	period	NOUN
bibechana-27450	180	27	of	of	ADP
bibechana-27450	180	28	oscillation	oscillation	NOUN
bibechana-27450	180	29	measured	measure	VERB
bibechana-27450	180	30	in	in	ADP
bibechana-27450	180	31	the	the	DET
bibechana-27450	180	32	units	unit	NOUN
bibechana-27450	180	33	of	of	ADP
bibechana-27450	180	34	(	(	PUNCT
bibechana-27450	180	35	ℎ	ℎ	PROPN
bibechana-27450	180	36	𝑒∗10−2	𝑒∗10−2	PROPN
bibechana-27450	180	37	)	)	PUNCT
bibechana-27450	180	38	.	.	PUNCT
bibechana-27450	181	1	the	the	DET
bibechana-27450	181	2	total	total	ADJ
bibechana-27450	181	3	time	time	NOUN
bibechana-27450	181	4	period	period	NOUN
bibechana-27450	181	5	of	of	ADP
bibechana-27450	181	6	oscillation	oscillation	NOUN
bibechana-27450	181	7	is	be	AUX
bibechana-27450	181	8	𝑇	𝑇	PROPN
bibechana-27450	181	9	=	=	SYM
bibechana-27450	181	10	2	2	NUM
bibechana-27450	181	11	∗	∗	NOUN
bibechana-27450	181	12	102	102	NUM
bibechana-27450	181	13	∗	∗	NOUN
bibechana-27450	181	14	(	(	PUNCT
bibechana-27450	181	15	ℎ	ℎ	PROPN
bibechana-27450	181	16	𝑒∗10−2	𝑒∗10−2	PROPN
bibechana-27450	181	17	)	)	PUNCT
bibechana-27450	181	18	i.e.	i.e.	X
bibechana-27450	181	19	8.479	8.479	NUM
bibechana-27450	181	20	∗	∗	NOUN
bibechana-27450	181	21	10−11	10−11	NUM
bibechana-27450	181	22	𝑠.	𝑠.	NOUN
bibechana-27450	181	23	it	it	PRON
bibechana-27450	181	24	corresponds	correspond	VERB
bibechana-27450	181	25	to	to	ADP
bibechana-27450	181	26	the	the	DET
bibechana-27450	181	27	tunneling	tunneling	NOUN
bibechana-27450	181	28	frequency	frequency	NOUN
bibechana-27450	181	29	equal	equal	ADJ
bibechana-27450	182	1	to11.79	to11.79	ADP
bibechana-27450	182	2	𝐺𝐻𝑧.	𝐺𝐻𝑧.	X
bibechana-27450	182	3	the	the	DET
bibechana-27450	182	4	tunneling	tunnel	VERB
bibechana-27450	182	5	behavior	behavior	NOUN
bibechana-27450	182	6	of	of	ADP
bibechana-27450	182	7	electron	electron	NOUN
bibechana-27450	182	8	in	in	ADP
bibechana-27450	182	9	symmetric	symmetric	ADJ
bibechana-27450	182	10	double	double	ADJ
bibechana-27450	182	11	well	well	NOUN
bibechana-27450	182	12	has	have	AUX
bibechana-27450	182	13	been	be	AUX
bibechana-27450	182	14	studied	study	VERB
bibechana-27450	182	15	by	by	ADP
bibechana-27450	182	16	e.p	e.p	PROPN
bibechana-27450	182	17	.	.	PROPN
bibechana-27450	182	18	lopez	lopez	PROPN
bibechana-27450	182	19	2006	2006	NUM
bibechana-27450	183	1	[	[	X
bibechana-27450	183	2	16	16	NUM
bibechana-27450	183	3	]	]	PUNCT
bibechana-27450	183	4	with	with	ADP
bibechana-27450	183	5	the	the	DET
bibechana-27450	183	6	barrier	barrier	NOUN
bibechana-27450	183	7	height(𝑉0	height(𝑉0	NOUN
bibechana-27450	183	8	)	)	PUNCT
bibechana-27450	183	9	as	as	ADP
bibechana-27450	183	10	108	108	NUM
bibechana-27450	183	11	𝑚𝑒𝑉	𝑚𝑒𝑉	NOUN
bibechana-27450	183	12	and	and	CCONJ
bibechana-27450	183	13	barrier	barrier	NOUN
bibechana-27450	183	14	width	width	NOUN
bibechana-27450	183	15	(	(	PUNCT
bibechana-27450	183	16	𝑙𝑏	𝑙𝑏	X
bibechana-27450	183	17	)	)	PUNCT
bibechana-27450	183	18	as	as	ADP
bibechana-27450	183	19	0.2	0.2	NUM
bibechana-27450	183	20	a0	a0	NOUN
bibechana-27450	183	21	and	and	CCONJ
bibechana-27450	183	22	the	the	DET
bibechana-27450	183	23	width	width	NOUN
bibechana-27450	183	24	of	of	ADP
bibechana-27450	183	25	the	the	DET
bibechana-27450	183	26	well(𝑙𝑤	well(𝑙𝑤	PROPN
bibechana-27450	183	27	)	)	PUNCT
bibechana-27450	183	28	as0.6	as0.6	PUNCT
bibechana-27450	183	29	𝐴0also	𝐴0also	ADV
bibechana-27450	183	30	.	.	PUNCT
bibechana-27450	184	1	the	the	DET
bibechana-27450	184	2	authors	author	NOUN
bibechana-27450	184	3	have	have	AUX
bibechana-27450	184	4	calculated	calculate	VERB
bibechana-27450	184	5	the	the	DET
bibechana-27450	184	6	frequency	frequency	NOUN
bibechana-27450	184	7	of	of	ADP
bibechana-27450	184	8	oscillations	oscillation	NOUN
bibechana-27450	184	9	to	to	PART
bibechana-27450	184	10	be	be	AUX
bibechana-27450	184	11	25.356	25.356	NUM
bibechana-27450	184	12	𝐺𝐻𝑧.	𝐺𝐻𝑧.	NOUN
bibechana-27450	184	13	it	it	PRON
bibechana-27450	184	14	is	be	AUX
bibechana-27450	184	15	found	find	VERB
bibechana-27450	184	16	that	that	SCONJ
bibechana-27450	184	17	as	as	SCONJ
bibechana-27450	184	18	the	the	DET
bibechana-27450	184	19	barrier	barrier	NOUN
bibechana-27450	184	20	height	height	NOUN
bibechana-27450	184	21	is	be	AUX
bibechana-27450	184	22	increased	increase	VERB
bibechana-27450	184	23	,	,	PUNCT
bibechana-27450	184	24	the	the	DET
bibechana-27450	184	25	difference	difference	NOUN
bibechana-27450	184	26	in	in	ADP
bibechana-27450	184	27	energy	energy	NOUN
bibechana-27450	184	28	values	value	NOUN
bibechana-27450	184	29	decreases	decrease	VERB
bibechana-27450	184	30	.	.	PUNCT
bibechana-27450	185	1	this	this	PRON
bibechana-27450	185	2	increases	increase	VERB
bibechana-27450	185	3	the	the	DET
bibechana-27450	185	4	time	time	NOUN
bibechana-27450	185	5	period	period	NOUN
bibechana-27450	185	6	and	and	CCONJ
bibechana-27450	185	7	the	the	DET
bibechana-27450	185	8	time	time	NOUN
bibechana-27450	185	9	taken	take	VERB
bibechana-27450	185	10	by	by	ADP
bibechana-27450	185	11	the	the	DET
bibechana-27450	185	12	particle	particle	NOUN
bibechana-27450	185	13	to	to	PART
bibechana-27450	185	14	tunnel	tunnel	VERB
bibechana-27450	185	15	through	through	ADP
bibechana-27450	185	16	it	it	PRON
bibechana-27450	185	17	.	.	PUNCT
bibechana-27450	186	1	for	for	ADP
bibechana-27450	186	2	sufficiently	sufficiently	ADV
bibechana-27450	186	3	high	high	ADJ
bibechana-27450	186	4	barriers	barrier	NOUN
bibechana-27450	186	5	the	the	DET
bibechana-27450	186	6	particle	particle	NOUN
bibechana-27450	186	7	may	may	AUX
bibechana-27450	186	8	not	not	PART
bibechana-27450	186	9	tunnel	tunnel	VERB
bibechana-27450	186	10	through	through	ADP
bibechana-27450	186	11	,	,	PUNCT
bibechana-27450	186	12	because	because	SCONJ
bibechana-27450	186	13	the	the	DET
bibechana-27450	186	14	frequency	frequency	NOUN
bibechana-27450	186	15	of	of	ADP
bibechana-27450	186	16	tunneling	tunnel	VERB
bibechana-27450	186	17	decays	decay	NOUN
bibechana-27450	186	18	to	to	ADP
bibechana-27450	186	19	a	a	DET
bibechana-27450	186	20	very	very	ADV
bibechana-27450	186	21	small	small	ADJ
bibechana-27450	186	22	value	value	NOUN
bibechana-27450	186	23	.	.	PUNCT
bibechana-27450	187	1	in	in	ADP
bibechana-27450	187	2	case	case	NOUN
bibechana-27450	187	3	of	of	ADP
bibechana-27450	187	4	very	very	ADV
bibechana-27450	187	5	high	high	ADJ
bibechana-27450	187	6	barrier	barrier	NOUN
bibechana-27450	187	7	quantum	quantum	NOUN
bibechana-27450	187	8	well	well	NOUN
bibechana-27450	187	9	structures	structure	NOUN
bibechana-27450	187	10	in	in	ADP
bibechana-27450	187	11	which	which	PRON
bibechana-27450	187	12	the	the	DET
bibechana-27450	187	13	frequency	frequency	NOUN
bibechana-27450	187	14	of	of	ADP
bibechana-27450	187	15	oscillation	oscillation	NOUN
bibechana-27450	187	16	is	be	AUX
bibechana-27450	187	17	almost	almost	ADV
bibechana-27450	187	18	zero	zero	NUM
bibechana-27450	187	19	.	.	PUNCT
bibechana-27450	188	1	this	this	DET
bibechana-27450	188	2	model	model	NOUN
bibechana-27450	188	3	of	of	ADP
bibechana-27450	188	4	tunneling	tunnel	VERB
bibechana-27450	188	5	oscillation	oscillation	NOUN
bibechana-27450	188	6	is	be	AUX
bibechana-27450	188	7	expected	expect	VERB
bibechana-27450	188	8	to	to	PART
bibechana-27450	188	9	be	be	AUX
bibechana-27450	188	10	useful	useful	ADJ
bibechana-27450	188	11	for	for	ADP
bibechana-27450	188	12	the	the	DET
bibechana-27450	188	13	study	study	NOUN
bibechana-27450	188	14	of	of	ADP
bibechana-27450	188	15	the	the	DET
bibechana-27450	188	16	strength	strength	NOUN
bibechana-27450	188	17	of	of	ADP
bibechana-27450	188	18	the	the	DET
bibechana-27450	188	19	barrier	barrier	NOUN
bibechana-27450	188	20	and	and	CCONJ
bibechana-27450	188	21	oscillation	oscillation	NOUN
bibechana-27450	188	22	behavior	behavior	NOUN
bibechana-27450	188	23	of	of	ADP
bibechana-27450	188	24	electron	electron	NOUN
bibechana-27450	188	25	in	in	ADP
bibechana-27450	188	26	symmetric	symmetric	ADJ
bibechana-27450	188	27	quantum	quantum	ADJ
bibechana-27450	188	28	well	well	ADJ
bibechana-27450	188	29	/	/	SYM
bibechana-27450	188	30	barrier	barrier	NOUN
bibechana-27450	188	31	systems	system	NOUN
bibechana-27450	188	32	.	.	PUNCT
bibechana-27450	189	1	in	in	ADP
bibechana-27450	189	2	addition	addition	NOUN
bibechana-27450	189	3	,	,	PUNCT
bibechana-27450	189	4	the	the	DET
bibechana-27450	189	5	fast	fast	ADJ
bibechana-27450	189	6	switching	switch	VERB
bibechana-27450	189	7	semiconductor	semiconductor	NOUN
bibechana-27450	189	8	devices	device	NOUN
bibechana-27450	189	9	and	and	CCONJ
bibechana-27450	189	10	high	high	ADJ
bibechana-27450	189	11	frequency	frequency	NOUN
bibechana-27450	189	12	oscillators	oscillator	NOUN
bibechana-27450	189	13	can	can	AUX
bibechana-27450	189	14	be	be	AUX
bibechana-27450	189	15	studied	study	VERB
bibechana-27450	189	16	by	by	ADP
bibechana-27450	189	17	the	the	DET
bibechana-27450	189	18	proposed	propose	VERB
bibechana-27450	189	19	method	method	NOUN
bibechana-27450	189	20	and	and	CCONJ
bibechana-27450	189	21	using	use	VERB
bibechana-27450	189	22	the	the	DET
bibechana-27450	189	23	related	related	ADJ
bibechana-27450	189	24	results	result	NOUN
bibechana-27450	189	25	.	.	PUNCT
bibechana-27450	190	1	4	4	X
bibechana-27450	190	2	.	.	X
bibechana-27450	190	3	conclusion	conclusion	VERB
bibechana-27450	190	4	a	a	DET
bibechana-27450	190	5	method	method	NOUN
bibechana-27450	190	6	of	of	ADP
bibechana-27450	190	7	exact	exact	ADJ
bibechana-27450	190	8	solution	solution	NOUN
bibechana-27450	190	9	for	for	ADP
bibechana-27450	190	10	energy	energy	NOUN
bibechana-27450	190	11	level	level	NOUN
bibechana-27450	190	12	and	and	CCONJ
bibechana-27450	190	13	wave	wave	NOUN
bibechana-27450	190	14	function	function	NOUN
bibechana-27450	190	15	of	of	ADP
bibechana-27450	190	16	the	the	DET
bibechana-27450	190	17	particle	particle	NOUN
bibechana-27450	190	18	in	in	ADP
bibechana-27450	190	19	sl	sl	PROPN
bibechana-27450	190	20	is	be	AUX
bibechana-27450	190	21	studied	study	VERB
bibechana-27450	190	22	using	use	VERB
bibechana-27450	190	23	t	t	NOUN
bibechana-27450	190	24	-	-	PUNCT
bibechana-27450	190	25	matrix	matrix	NOUN
bibechana-27450	190	26	.	.	PUNCT
bibechana-27450	191	1	the	the	DET
bibechana-27450	191	2	tunneling	tunnel	VERB
bibechana-27450	191	3	behavior	behavior	NOUN
bibechana-27450	191	4	of	of	ADP
bibechana-27450	191	5	the	the	DET
bibechana-27450	191	6	electron	electron	NOUN
bibechana-27450	191	7	in	in	ADP
bibechana-27450	191	8	sqw	sqw	NOUN
bibechana-27450	191	9	is	be	AUX
bibechana-27450	191	10	described	describe	VERB
bibechana-27450	191	11	with	with	ADP
bibechana-27450	191	12	the	the	DET
bibechana-27450	191	13	help	help	NOUN
bibechana-27450	191	14	of	of	ADP
bibechana-27450	191	15	time	time	NOUN
bibechana-27450	191	16	evolution	evolution	NOUN
bibechana-27450	191	17	.	.	PUNCT
bibechana-27450	192	1	the	the	DET
bibechana-27450	192	2	value	value	NOUN
bibechana-27450	192	3	of	of	ADP
bibechana-27450	192	4	energy	energy	NOUN
bibechana-27450	192	5	ting	ting	NOUN
bibechana-27450	192	6	and	and	CCONJ
bibechana-27450	192	7	tunneling	tunneling	NOUN
bibechana-27450	192	8	frequency	frequency	NOUN
bibechana-27450	192	9	for	for	ADP
bibechana-27450	192	10	the	the	DET
bibechana-27450	192	11	electron	electron	NOUN
bibechana-27450	192	12	described	describe	VERB
bibechana-27450	192	13	in	in	ADP
bibechana-27450	192	14	sqw	sqw	NOUN
bibechana-27450	192	15	are	be	AUX
bibechana-27450	192	16	estimated	estimate	VERB
bibechana-27450	192	17	to	to	PART
bibechana-27450	192	18	be∇𝐸1	be∇𝐸1	VERB
bibechana-27450	192	19	=	=	PUNCT
bibechana-27450	192	20	0.0000487751𝑒𝑉	0.0000487751𝑒𝑉	PROPN
bibechana-27450	192	21	and	and	CCONJ
bibechana-27450	192	22	𝜈𝑇	𝜈𝑇	ADJ
bibechana-27450	192	23	=	=	NOUN
bibechana-27450	192	24	11.79	11.79	NUM
bibechana-27450	192	25	𝐺𝐻𝑧	𝐺𝐻𝑧	VERB
bibechana-27450	192	26	respectively	respectively	ADV
bibechana-27450	192	27	.	.	PUNCT
bibechana-27450	193	1	the	the	DET
bibechana-27450	193	2	method	method	NOUN
bibechana-27450	193	3	can	can	AUX
bibechana-27450	193	4	be	be	AUX
bibechana-27450	193	5	extended	extend	VERB
bibechana-27450	193	6	for	for	ADP
bibechana-27450	193	7	larger	large	ADJ
bibechana-27450	193	8	number	number	NOUN
bibechana-27450	193	9	of	of	ADP
bibechana-27450	193	10	wells	well	NOUN
bibechana-27450	193	11	as	as	ADV
bibechana-27450	193	12	well	well	ADV
bibechana-27450	193	13	for	for	ADP
bibechana-27450	193	14	fast	fast	ADJ
bibechana-27450	193	15	switching	switch	VERB
bibechana-27450	193	16	semiconductor	semiconductor	NOUN
bibechana-27450	193	17	devices	device	NOUN
bibechana-27450	193	18	in	in	ADP
bibechana-27450	193	19	𝐺𝐻𝑧	𝐺𝐻𝑧	ADJ
bibechana-27450	193	20	region	region	NOUN
bibechana-27450	193	21	.	.	PUNCT
bibechana-27450	194	1	references	reference	NOUN
bibechana-27450	194	2	[	[	X
bibechana-27450	194	3	1	1	NUM
bibechana-27450	194	4	]	]	PUNCT
bibechana-27450	194	5	c.	c.	PROPN
bibechana-27450	194	6	kittle	kittle	PROPN
bibechana-27450	194	7	,	,	PUNCT
bibechana-27450	194	8	introduction	introduction	NOUN
bibechana-27450	194	9	to	to	ADP
bibechana-27450	194	10	solid	solid	ADJ
bibechana-27450	194	11	state	state	NOUN
bibechana-27450	194	12	physics	physics	NOUN
bibechana-27450	194	13	,	,	PUNCT
bibechana-27450	194	14	7th	7th	ADJ
bibechana-27450	194	15	edition	edition	NOUN
bibechana-27450	194	16	,	,	PUNCT
bibechana-27450	194	17	john	john	PROPN
bibechana-27450	194	18	wiley	wiley	PROPN
bibechana-27450	194	19	&	&	CCONJ
bibechana-27450	194	20	sons	sons	PROPN
bibechana-27450	194	21	(	(	PUNCT
bibechana-27450	194	22	asia	asia	PROPN
bibechana-27450	194	23	)	)	PUNCT
bibechana-27450	194	24	pvt	pvt	PROPN
bibechana-27450	194	25	ltd	ltd	PROPN
bibechana-27450	194	26	,	,	PUNCT
bibechana-27450	194	27	singapore	singapore	PROPN
bibechana-27450	194	28	,	,	PUNCT
bibechana-27450	194	29	2002	2002	NUM
bibechana-27450	194	30	.	.	PUNCT
bibechana-27450	195	1	[	[	X
bibechana-27450	195	2	2	2	X
bibechana-27450	195	3	]	]	PUNCT
bibechana-27450	195	4	j.	j.	PROPN
bibechana-27450	195	5	h.	h.	PROPN
bibechana-27450	195	6	davies	davies	PROPN
bibechana-27450	195	7	,	,	PUNCT
bibechana-27450	195	8	the	the	DET
bibechana-27450	195	9	physics	physics	NOUN
bibechana-27450	195	10	of	of	ADP
bibechana-27450	195	11	low	low	ADJ
bibechana-27450	195	12	-	-	PUNCT
bibechana-27450	195	13	dimensional	dimensional	ADJ
bibechana-27450	195	14	semiconductors	semiconductor	NOUN
bibechana-27450	195	15	:	:	PUNCT
bibechana-27450	195	16	an	an	DET
bibechana-27450	195	17	introduction	introduction	NOUN
bibechana-27450	195	18	,	,	PUNCT
bibechana-27450	195	19	cambridge	cambridge	PROPN
bibechana-27450	195	20	university	university	PROPN
bibechana-27450	195	21	press	press	PROPN
bibechana-27450	195	22	,	,	PUNCT
bibechana-27450	195	23	cambridge	cambridge	PROPN
bibechana-27450	195	24	,	,	PUNCT
bibechana-27450	195	25	1997	1997	NUM
bibechana-27450	195	26	.	.	PUNCT
bibechana-27450	196	1	[	[	X
bibechana-27450	196	2	3	3	X
bibechana-27450	196	3	]	]	X
bibechana-27450	196	4	l.	l.	PROPN
bibechana-27450	196	5	esaki	esaki	PROPN
bibechana-27450	196	6	and	and	CCONJ
bibechana-27450	196	7	r.	r.	PROPN
bibechana-27450	196	8	tsu	tsu	PROPN
bibechana-27450	196	9	,	,	PUNCT
bibechana-27450	196	10	ibm	ibm	PROPN
bibechana-27450	196	11	,	,	PUNCT
bibechana-27450	196	12	superlattice	superlattice	NOUN
bibechana-27450	196	13	and	and	CCONJ
bibechana-27450	196	14	negative	negative	ADJ
bibechana-27450	196	15	differential	differential	ADJ
bibechana-27450	196	16	conductivity	conductivity	NOUN
bibechana-27450	196	17	in	in	ADP
bibechana-27450	196	18	semiconductors	semiconductor	NOUN
bibechana-27450	196	19	,	,	PUNCT
bibechana-27450	196	20	j.	j.	PROPN
bibechana-27450	196	21	res	res	PROPN
bibechana-27450	196	22	.	.	PUNCT
bibechana-27450	197	1	develop	develop	VERB
bibechana-27450	197	2	.	.	PUNCT
bibechana-27450	198	1	14	14	NUM
bibechana-27450	198	2	(	(	PUNCT
bibechana-27450	198	3	1970	1970	NUM
bibechana-27450	198	4	)	)	PUNCT
bibechana-27450	198	5	61	61	NUM
bibechana-27450	198	6	-	-	SYM
bibechana-27450	198	7	65	65	NUM
bibechana-27450	198	8	.	.	PUNCT
bibechana-27450	199	1	https://doi.org/10.1147/rd.141.0061	https://doi.org/10.1147/rd.141.0061	X
bibechana-27450	199	2	·	·	PUNCT
bibechana-27450	200	1	[	[	X
bibechana-27450	200	2	4	4	X
bibechana-27450	200	3	]	]	PUNCT
bibechana-27450	200	4	m.	m.	PROPN
bibechana-27450	200	5	f.	f.	PROPN
bibechana-27450	200	6	h.	h.	PROPN
bibechana-27450	200	7	schuurmans	schuurmans	PROPN
bibechana-27450	200	8	and	and	CCONJ
bibechana-27450	200	9	w.	w.	PROPN
bibechana-27450	200	10	g.	g.	PROPN
bibechana-27450	200	11	'	'	PROPN
bibechana-27450	200	12	t	t	PROPN
bibechana-27450	200	13	hooft	hooft	NOUN
bibechana-27450	200	14	,	,	PUNCT
bibechana-27450	200	15	simple	simple	ADJ
bibechana-27450	200	16	calculations	calculation	NOUN
bibechana-27450	200	17	of	of	ADP
bibechana-27450	200	18	confinement	confinement	ADJ
bibechana-27450	200	19	states	state	NOUN
bibechana-27450	200	20	in	in	ADP
bibechana-27450	200	21	a	a	DET
bibechana-27450	200	22	quantum	quantum	NOUN
bibechana-27450	200	23	well	well	NOUN
bibechana-27450	200	24	,	,	PUNCT
bibechana-27450	200	25	phys	phy	NOUN
bibechana-27450	200	26	.	.	PUNCT
bibechana-27450	201	1	rev	rev	PROPN
bibechana-27450	201	2	.	.	PROPN
bibechana-27450	202	1	b	b	PROPN
bibechana-27450	202	2	31	31	NUM
bibechana-27450	202	3	(	(	PUNCT
bibechana-27450	202	4	1985	1985	NUM
bibechana-27450	202	5	)	)	PUNCT
bibechana-27450	202	6	8041	8041	NUM
bibechana-27450	202	7	-	-	SYM
bibechana-27450	202	8	8048	8048	NUM
bibechana-27450	202	9	.	.	PUNCT
bibechana-27450	203	1	https://doi.org/10.1103/physrevb.31.8041	https://doi.org/10.1103/physrevb.31.8041	NOUN
bibechana-27450	203	2	.	.	PUNCT
bibechana-27450	204	1	[	[	X
bibechana-27450	204	2	5	5	X
bibechana-27450	204	3	]	]	PUNCT
bibechana-27450	204	4	p.	p.	PROPN
bibechana-27450	204	5	dawson	dawson	PROPN
bibechana-27450	204	6	,	,	PUNCT
bibechana-27450	204	7	k.	k.	PROPN
bibechana-27450	204	8	j.	j.	PROPN
bibechana-27450	204	9	moore	moore	PROPN
bibechana-27450	204	10	,	,	PUNCT
bibechana-27450	204	11	g.	g.	PROPN
bibechana-27450	204	12	duggan	duggan	PROPN
bibechana-27450	204	13	,	,	PUNCT
bibechana-27450	204	14	h.	h.	PROPN
bibechana-27450	204	15	i.	i.	PROPN
bibechana-27450	204	16	ralph	ralph	PROPN
bibechana-27450	204	17	and	and	CCONJ
bibechana-27450	204	18	c.	c.	PROPN
bibechana-27450	204	19	t.	t.	PROPN
bibechana-27450	204	20	b.	b.	PROPN
bibechana-27450	205	1	foxon	foxon	PROPN
bibechana-27450	205	2	,	,	PUNCT
bibechana-27450	205	3	unambiguous	unambiguous	ADJ
bibechana-27450	205	4	observation	observation	NOUN
bibechana-27450	205	5	of	of	ADP
bibechana-27450	205	6	the	the	DET
bibechana-27450	205	7	2s	2s	ADJ
bibechana-27450	205	8	state	state	NOUN
bibechana-27450	205	9	of	of	ADP
bibechana-27450	205	10	the	the	DET
bibechana-27450	205	11	lightand	lightand	ADJ
bibechana-27450	205	12	heavy	heavy	ADJ
bibechana-27450	205	13	-	-	PUNCT
bibechana-27450	205	14	hole	hole	NOUN
bibechana-27450	205	15	excitons	exciton	NOUN
bibechana-27450	205	16	in	in	ADP
bibechana-27450	205	17	𝐺𝑎𝐴𝑠	𝐺𝑎𝐴𝑠	PROPN
bibechana-27450	205	18	−	−	PROPN
bibechana-27450	205	19	(	(	PUNCT
bibechana-27450	205	20	𝐴𝑙𝐺𝑎)𝐴𝑠multiple	𝐴𝑙𝐺𝑎)𝐴𝑠multiple	NOUN
bibechana-27450	205	21	-	-	PUNCT
bibechana-27450	205	22	quantum	quantum	NOUN
bibechana-27450	205	23	-	-	PUNCT
bibechana-27450	205	24	well	well	NOUN
bibechana-27450	205	25	structures	structure	NOUN
bibechana-27450	205	26	,	,	PUNCT
bibechana-27450	205	27	phys	phy	NOUN
bibechana-27450	205	28	.	.	PUNCT
bibechana-27450	206	1	rev	rev	PROPN
bibechana-27450	206	2	.	.	PROPN
bibechana-27450	206	3	b34	b34	PROPN
bibechana-27450	206	4	(	(	PUNCT
bibechana-27450	206	5	1986	1986	NUM
bibechana-27450	206	6	)	)	PUNCT
bibechana-27450	206	7	6007	6007	NUM
bibechana-27450	206	8	-	-	SYM
bibechana-27450	206	9	6010	6010	NUM
bibechana-27450	206	10	.	.	PUNCT
bibechana-27450	207	1	doi	doi	NOUN
bibechana-27450	207	2	:	:	PUNCT
bibechana-27450	207	3	https://doi.org/10.1103/physrevb.34.6007	https://doi.org/10.1103/physrevb.34.6007	VERB
bibechana-27450	207	4	.	.	PUNCT
bibechana-27450	208	1	[	[	X
bibechana-27450	208	2	6	6	NUM
bibechana-27450	208	3	]	]	PUNCT
bibechana-27450	208	4	k.	k.	PROPN
bibechana-27450	208	5	j.	j.	PROPN
bibechana-27450	208	6	moore	moore	PROPN
bibechana-27450	208	7	,	,	PUNCT
bibechana-27450	208	8	p.	p.	PROPN
bibechana-27450	208	9	dawson	dawson	PROPN
bibechana-27450	208	10	and	and	CCONJ
bibechana-27450	208	11	c.	c.	PROPN
bibechana-27450	208	12	t.	t.	PROPN
bibechana-27450	208	13	foxon	foxon	ADJ
bibechana-27450	208	14	,	,	PUNCT
bibechana-27450	208	15	observation	observation	NOUN
bibechana-27450	208	16	of	of	ADP
bibechana-27450	208	17	luminescence	luminescence	NOUN
bibechana-27450	208	18	from	from	ADP
bibechana-27450	208	19	the	the	DET
bibechana-27450	208	20	2sheavy	2sheavy	NUM
bibechana-27450	208	21	-	-	PUNCT
bibechana-27450	208	22	hole	hole	NOUN
bibechana-27450	208	23	exciton	exciton	NOUN
bibechana-27450	208	24	in	in	ADP
bibechana-27450	208	25	𝐺𝑎𝐴𝑠	𝐺𝑎𝐴𝑠	PROPN
bibechana-27450	208	26	−	−	PROPN
bibechana-27450	208	27	(	(	PUNCT
bibechana-27450	208	28	𝐴𝑙𝐺𝑎)𝐴𝑠	𝐴𝑙𝐺𝑎)𝐴𝑠	X
bibechana-27450	208	29	quantum	quantum	NOUN
bibechana-27450	208	30	-	-	PUNCT
bibechana-27450	208	31	well	well	ADJ
bibechana-27450	208	32	structures	structure	NOUN
bibechana-27450	208	33	at	at	ADP
bibechana-27450	208	34	low	low	ADJ
bibechana-27450	208	35	temperatures	temperature	NOUN
bibechana-27450	208	36	,	,	PUNCT
bibechana-27450	208	37	phys	phy	NOUN
bibechana-27450	208	38	.	.	PUNCT
bibechana-27450	209	1	rev	rev	PROPN
bibechana-27450	209	2	.	.	PROPN
bibechana-27450	210	1	b	b	PROPN
bibechana-27450	210	2	34	34	NUM
bibechana-27450	210	3	(	(	PUNCT
bibechana-27450	210	4	1986)6022	1986)6022	NOUN
bibechana-27450	210	5	-	-	PUNCT
bibechana-27450	210	6	6025	6025	NUM
bibechana-27450	210	7	.	.	PUNCT
bibechana-27450	211	1	https://doi.org/10.1103/physrevb.34.6022	https://doi.org/10.1103/physrevb.34.6022	NOUN
bibechana-27450	211	2	.	.	PUNCT
bibechana-27450	212	1	[	[	X
bibechana-27450	212	2	7	7	X
bibechana-27450	212	3	]	]	X
bibechana-27450	212	4	r.	r.	PROPN
bibechana-27450	212	5	c.	c.	PROPN
bibechana-27450	212	6	miller	miller	PROPN
bibechana-27450	212	7	,	,	PUNCT
bibechana-27450	212	8	a.	a.	PROPN
bibechana-27450	212	9	c.	c.	PROPN
bibechana-27450	212	10	gossard	gossard	PROPN
bibechana-27450	212	11	,	,	PUNCT
bibechana-27450	212	12	d.	d.	PROPN
bibechana-27450	212	13	a.	a.	PROPN
bibechana-27450	212	14	kleimnan	kleimnan	PROPN
bibechana-27450	212	15	,	,	PUNCT
bibechana-27450	212	16	and	and	CCONJ
bibechana-27450	212	17	o.	o.	PROPN
bibechana-27450	212	18	munteanu	munteanu	PROPN
bibechana-27450	212	19	,	,	PUNCT
bibechana-27450	212	20	parabolic	parabolic	ADJ
bibechana-27450	212	21	quantum	quantum	ADJ
bibechana-27450	212	22	wells	well	NOUN
bibechana-27450	212	23	with	with	ADP
bibechana-27450	212	24	the	the	DET
bibechana-27450	212	25	𝐺𝑎𝐴𝑠	𝐺𝑎𝐴𝑠	PROPN
bibechana-27450	212	26	−	−	PROPN
bibechana-27450	212	27	𝐴𝑙𝑥𝐺𝑎1−𝑥𝐴𝑠	𝐴𝑙𝑥𝐺𝑎1−𝑥𝐴𝑠	PROPN
bibechana-27450	212	28	system	system	NOUN
bibechana-27450	212	29	,	,	PUNCT
bibechana-27450	212	30	phys	phy	NOUN
bibechana-27450	212	31	.	.	PUNCT
bibechana-27450	212	32	rev	rev	PROPN
bibechana-27450	212	33	.	.	PROPN
bibechana-27450	213	1	b29	b29	NOUN
bibechana-27450	213	2	(	(	PUNCT
bibechana-27450	213	3	1984	1984	NUM
bibechana-27450	213	4	)	)	PUNCT
bibechana-27450	213	5	3740	3740	NUM
bibechana-27450	213	6	-	-	SYM
bibechana-27450	213	7	3743	3743	NUM
bibechana-27450	213	8	.	.	PUNCT
bibechana-27450	214	1	https://doi.org/10.1103/physrevb.31.8041	https://doi.org/10.1103/physrevb.31.8041	NOUN
bibechana-27450	214	2	.	.	PUNCT
bibechana-27450	215	1	[	[	X
bibechana-27450	215	2	8	8	X
bibechana-27450	215	3	]	]	PUNCT
bibechana-27450	215	4	s.	s.	PROPN
bibechana-27450	215	5	d.	d.	PROPN
bibechana-27450	215	6	gunapala	gunapala	PROPN
bibechana-27450	215	7	,	,	PUNCT
bibechana-27450	215	8	b.	b.	PROPN
bibechana-27450	215	9	f.	f.	PROPN
bibechana-27450	215	10	levine	levine	PROPN
bibechana-27450	215	11	and	and	CCONJ
bibechana-27450	215	12	n.	n.	PROPN
bibechana-27450	215	13	chand	chand	PROPN
bibechana-27450	215	14	.	.	PUNCT
bibechana-27450	216	1	bound	bind	VERB
bibechana-27450	216	2	to	to	ADP
bibechana-27450	216	3	continuum	continuum	ADJ
bibechana-27450	216	4	superlattice	superlattice	NOUN
bibechana-27450	216	5	miniband	miniband	NOUN
bibechana-27450	216	6	long	long	ADJ
bibechana-27450	216	7	wavelength	wavelength	NOUN
bibechana-27450	216	8	𝐺𝑎𝐴𝑠/𝐴𝑙𝑥𝐺𝑎(1−𝑥)𝐴𝑠	𝐺𝑎𝐴𝑠/𝐴𝑙𝑥𝐺𝑎(1−𝑥)𝐴𝑠	PUNCT
bibechana-27450	216	9	photoconductors	photoconductors	PROPN
bibechana-27450	216	10	,	,	PUNCT
bibechana-27450	216	11	j.	j.	PROPN
bibechana-27450	216	12	appl	appl	PROPN
bibechana-27450	216	13	.	.	PUNCT
bibechana-27450	217	1	phys	phy	NOUN
bibechana-27450	217	2	.	.	PUNCT
bibechana-27450	218	1	70	70	NUM
bibechana-27450	218	2	(	(	PUNCT
bibechana-27450	218	3	1991	1991	NUM
bibechana-27450	218	4	)	)	PUNCT
bibechana-27450	218	5	305	305	NUM
bibechana-27450	218	6	-	-	SYM
bibechana-27450	218	7	308	308	NUM
bibechana-27450	218	8	.	.	PUNCT
bibechana-27450	219	1	https://doi.org/10.1063/1.350301	https://doi.org/10.1063/1.350301	NOUN
bibechana-27450	219	2	.	.	PUNCT
bibechana-27450	220	1	[	[	X
bibechana-27450	220	2	9	9	NUM
bibechana-27450	220	3	]	]	PUNCT
bibechana-27450	220	4	k.	k.	PROPN
bibechana-27450	220	5	m.	m.	PROPN
bibechana-27450	220	6	s.	s.	PROPN
bibechana-27450	220	7	v.	v.	PROPN
bibechana-27450	220	8	bandara	bandara	PROPN
bibechana-27450	220	9	,	,	PUNCT
bibechana-27450	220	10	j.	j.	PROPN
bibechana-27450	220	11	w.	w.	PROPN
bibechana-27450	220	12	choe	choe	PROPN
bibechana-27450	220	13	,	,	PUNCT
bibechana-27450	220	14	m.	m.	PROPN
bibechana-27450	220	15	h.	h.	PROPN
bibechana-27450	220	16	francombe	francombe	PROPN
bibechana-27450	220	17	,	,	PUNCT
bibechana-27450	220	18	a.	a.	NOUN
bibechana-27450	220	19	g.	g.	PROPN
bibechana-27450	220	20	u.	u.	PROPN
bibechana-27450	220	21	perera	perera	PROPN
bibechana-27450	220	22	and	and	CCONJ
bibechana-27450	220	23	y.	y.	PROPN
bibechana-27450	220	24	f.	f.	PROPN
bibechana-27450	220	25	lin	lin	PROPN
bibechana-27450	220	26	.	.	PUNCT
bibechana-27450	221	1	𝐺𝑎𝐴𝑠/𝐴𝑙𝐺𝑎𝐴𝑠	𝐺𝑎𝐴𝑠/𝐴𝑙𝐺𝑎𝐴𝑠	PROPN
bibechana-27450	221	2	superlattice	superlattice	NOUN
bibechana-27450	221	3	miniband	miniband	NOUN
bibechana-27450	221	4	detector	detector	NOUN
bibechana-27450	221	5	with	with	ADP
bibechana-27450	221	6	14.5	14.5	NUM
bibechana-27450	221	7	𝜇𝑚peak	𝜇𝑚peak	NOUN
bibechana-27450	221	8	response	response	NOUN
bibechana-27450	221	9	,	,	PUNCT
bibechana-27450	221	10	appl	appl	NOUN
bibechana-27450	221	11	.	.	PUNCT
bibechana-27450	222	1	phys	phy	NOUN
bibechana-27450	222	2	.	.	PUNCT
bibechana-27450	223	1	lett	lett	PROPN
bibechana-27450	223	2	.	.	PUNCT
bibechana-27450	224	1	60	60	NUM
bibechana-27450	224	2	(	(	PUNCT
bibechana-27450	224	3	1992	1992	NUM
bibechana-27450	224	4	)	)	PUNCT
bibechana-27450	224	5	3022	3022	NUM
bibechana-27450	224	6	-	-	SYM
bibechana-27450	224	7	3024	3024	NUM
bibechana-27450	224	8	.	.	PUNCT
bibechana-27450	225	1	https://doi.org/10.1063/1.106796	https://doi.org/10.1063/1.106796	PROPN
bibechana-27450	225	2	.	.	PUNCT
bibechana-27450	225	3	https://doi.org/10.1103/physrevb.31.8041	https://doi.org/10.1103/physrevb.31.8041	PROPN
bibechana-27450	225	4	https://doi.org/10.1103/physrevb.34.6007	https://doi.org/10.1103/physrevb.34.6007	PROPN
bibechana-27450	225	5	https://doi.org/10.1103/physrevb.34.6022	https://doi.org/10.1103/physrevb.34.6022	NOUN
bibechana-27450	226	1	https://ui.adsabs.harvard.edu/link_gateway/1985phrvb..31.8041s/doi:10.1103/physrevb.31.8041#_blank	https://ui.adsabs.harvard.edu/link_gateway/1985phrvb..31.8041s/doi:10.1103/physrevb.31.8041#_blank	PROPN
bibechana-27450	227	1	https://doi.org/10.1063/1.350301	https://doi.org/10.1063/1.350301	NOUN
bibechana-27450	227	2	https://doi.org/10.1063/1.106796	https://doi.org/10.1063/1.106796	PROPN
bibechana-27450	227	3	s.	s.	PROPN
bibechana-27450	227	4	shrestha	shrestha	PROPN
bibechana-27450	227	5	et	et	PROPN
bibechana-27450	228	1	al	al	PROPN
bibechana-27450	228	2	.	.	PUNCT
bibechana-27450	228	3	/	/	SYM
bibechana-27450	228	4	bibechana	bibechana	NOUN
bibechana-27450	228	5	18	18	NUM
bibechana-27450	228	6	(	(	PUNCT
bibechana-27450	228	7	1	1	NUM
bibechana-27450	228	8	)	)	PUNCT
bibechana-27450	228	9	(	(	PUNCT
bibechana-27450	228	10	2021	2021	NUM
bibechana-27450	228	11	)	)	PUNCT
bibechana-27450	228	12	91	91	NUM
bibechana-27450	228	13	-	-	SYM
bibechana-27450	228	14	99	99	NUM
bibechana-27450	228	15	99	99	NUM
bibechana-27450	229	1	[	[	SYM
bibechana-27450	229	2	10	10	NUM
bibechana-27450	229	3	]	]	X
bibechana-27450	229	4	h.	h.	PROPN
bibechana-27450	229	5	moravcova	moravcova	PROPN
bibechana-27450	229	6	and	and	CCONJ
bibechana-27450	229	7	jan	jan	PROPN
bibechana-27450	229	8	voves	vove	NOUN
bibechana-27450	229	9	,	,	PUNCT
bibechana-27450	229	10	terahertz	terahertz	NOUN
bibechana-27450	229	11	bloch	bloch	PROPN
bibechana-27450	229	12	oscillations	oscillation	NOUN
bibechana-27450	229	13	in	in	ADP
bibechana-27450	229	14	semiconductor	semiconductor	NOUN
bibechana-27450	229	15	superlattices	superlattice	NOUN
bibechana-27450	229	16	,	,	PUNCT
bibechana-27450	229	17	in	in	ADP
bibechana-27450	229	18	the	the	DET
bibechana-27450	229	19	fourth	fourth	ADJ
bibechana-27450	229	20	international	international	ADJ
bibechana-27450	229	21	conference	conference	NOUN
bibechana-27450	229	22	on	on	ADP
bibechana-27450	229	23	advanced	advanced	ADJ
bibechana-27450	229	24	semiconductor	semiconductor	NOUN
bibechana-27450	229	25	devices	device	NOUN
bibechana-27450	229	26	and	and	CCONJ
bibechana-27450	229	27	microsystem	microsystem	NOUN
bibechana-27450	229	28	(	(	PUNCT
bibechana-27450	229	29	ieee	ieee	NOUN
bibechana-27450	229	30	,	,	PUNCT
bibechana-27450	229	31	2002	2002	NUM
bibechana-27450	229	32	)	)	PUNCT
bibechana-27450	230	1	33–135	33–135	PROPN
bibechana-27450	230	2	.	.	PUNCT
bibechana-27450	231	1	https://doi.org/	https://doi.org/	NOUN
bibechana-27450	231	2	10.1109	10.1109	NUM
bibechana-27450	231	3	/	/	SYM
bibechana-27450	231	4	asdam.2002.1088492	asdam.2002.1088492	PROPN
bibechana-27450	232	1	[	[	X
bibechana-27450	232	2	11	11	NUM
bibechana-27450	232	3	]	]	X
bibechana-27450	232	4	k.f	k.f	PROPN
bibechana-27450	232	5	.	.	PROPN
bibechana-27450	232	6	renk	renk	PROPN
bibechana-27450	232	7	and	and	CCONJ
bibechana-27450	232	8	b.i	b.i	PROPN
bibechana-27450	232	9	.	.	PROPN
bibechana-27450	232	10	stahl	stahl	PROPN
bibechana-27450	232	11	,	,	PUNCT
bibechana-27450	232	12	operation	operation	NOUN
bibechana-27450	232	13	of	of	ADP
bibechana-27450	232	14	a	a	DET
bibechana-27450	232	15	semiconductor	semiconductor	NOUN
bibechana-27450	232	16	superlattice	superlattice	NOUN
bibechana-27450	232	17	oscillator	oscillator	NOUN
bibechana-27450	232	18	,	,	PUNCT
bibechana-27450	232	19	physics	physics	NOUN
bibechana-27450	232	20	letters	letter	NOUN
bibechana-27450	232	21	a	a	DET
bibechana-27450	232	22	375(27	375(27	NUM
bibechana-27450	232	23	)	)	PUNCT
bibechana-27450	232	24	(	(	PUNCT
bibechana-27450	232	25	2011	2011	NUM
bibechana-27450	232	26	)	)	PUNCT
bibechana-27450	232	27	2644	2644	NUM
bibechana-27450	232	28	-	-	SYM
bibechana-27450	232	29	2651	2651	NUM
bibechana-27450	232	30	.	.	PUNCT
bibechana-27450	233	1	https://doi.org/10.1016/j.physleta.2011.05.038	https://doi.org/10.1016/j.physleta.2011.05.038	NOUN
bibechana-27450	233	2	[	[	X
bibechana-27450	233	3	12	12	NUM
bibechana-27450	233	4	]	]	PUNCT
bibechana-27450	233	5	p.	p.	NOUN
bibechana-27450	233	6	zhao	zhao	PROPN
bibechana-27450	233	7	,	,	PUNCT
bibechana-27450	233	8	h.	h.	PROPN
bibechana-27450	233	9	l.	l.	PROPN
bibechana-27450	233	10	cui	cui	PROPN
bibechana-27450	233	11	and	and	CCONJ
bibechana-27450	233	12	d.	d.	PROPN
bibechana-27450	233	13	woolard	woolard	ADV
bibechana-27450	233	14	.	.	PUNCT
bibechana-27450	234	1	dynamical	dynamical	ADJ
bibechana-27450	234	2	instabilities	instability	NOUN
bibechana-27450	234	3	and	and	CCONJ
bibechana-27450	234	4	i	i	PROPN
bibechana-27450	234	5	-	-	PUNCT
bibechana-27450	234	6	v	v	PROPN
bibechana-27450	234	7	characteristics	characteristic	NOUN
bibechana-27450	234	8	in	in	ADP
bibechana-27450	234	9	resonant	resonant	NOUN
bibechana-27450	234	10	tunneling	tunneling	NOUN
bibechana-27450	234	11	through	through	ADP
bibechana-27450	234	12	double	double	ADJ
bibechana-27450	234	13	-	-	PUNCT
bibechana-27450	234	14	barrier	barrier	NOUN
bibechana-27450	234	15	quantum	quantum	ADJ
bibechana-27450	234	16	well	well	NOUN
bibechana-27450	234	17	systems	system	NOUN
bibechana-27450	234	18	,	,	PUNCT
bibechana-27450	234	19	phys	phy	NOUN
bibechana-27450	234	20	.	.	PUNCT
bibechana-27450	235	1	rev	rev	PROPN
bibechana-27450	235	2	.	.	PROPN
bibechana-27450	235	3	b63	b63	PROPN
bibechana-27450	235	4	(	(	PUNCT
bibechana-27450	235	5	2001	2001	NUM
bibechana-27450	235	6	)	)	PUNCT
bibechana-27450	235	7	75302	75302	NUM
bibechana-27450	235	8	-	-	SYM
bibechana-27450	235	9	1	1	NUM
bibechana-27450	235	10	-	-	PUNCT
bibechana-27450	235	11	75302	75302	NUM
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