Dynamics of the probability density in the internal region of a double for a Dirac delta potential

Based on exact analytical solutions of the time-dependent Schrödinger equation, and initial conditions of plane waves cut in x-space by an absorbing or reflecting quantum shutter, the dynamic behavior of the electronic probability density or buildup is analyzed, in the internal region of a double Di...

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Autor principal:	Hernández Maldonado, Alberto
Formato:	info:eu-repo/semantics/article
Lenguaje:	spa
Publicado:	Universidad Autónoma de Baja California 2020
Materias:	Quantum transients Double delta potential Moshinsky shutter. Transitorios cuánticos Potencial doble delta Obturador de Moshinsky.
Acceso en línea:	https://recit.uabc.mx/index.php/revista/article/view/tln1
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id	repositorioinstitucional-20.500.12930-7017
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spelling	repositorioinstitucional-20.500.12930-70172023-05-09T14:35:08Z Dynamics of the probability density in the internal region of a double for a Dirac delta potential Dinámica de la densidad de probabilidad en la región interna de un potencial doble delta de Dirac Hernández Maldonado, Alberto Quantum transients Double delta potential Moshinsky shutter. Transitorios cuánticos Potencial doble delta Obturador de Moshinsky. Based on exact analytical solutions of the time-dependent Schrödinger equation, and initial conditions of plane waves cut in x-space by an absorbing or reflecting quantum shutter, the dynamic behavior of the electronic probability density or buildup is analyzed, in the internal region of a double Dirac delta potential double, from very short times (given in half-lives), until reaching the stationary situation. The buildup is compared between both cases, absorbent and reflective quantum shutter, finding that for short times the buildup depends on the initial condition (IC) used, while for long times, it is independent of said IC. Using the reflecting IC, the buildup is analyzed from practically zero time, until the steady-state is reached. The results found may be relevant in the context of rapid response in devices known as resonant tunneling diodes. Con base en soluciones analíticas exactas de la ecuación de Schrödinger dependiente del tiempo, y condiciones iniciales de ondas planas cortadas en el espacio x mediante un obturador cuántico absorbente o reflejante, se analiza el comportamiento dinámico de la densidad de probabilidad electrónica o buildup, en la región interna de un potencial doble delta de Dirac, desde tiempos (dados en vidas medias) muy pequeños, hasta alcanzar la situación estacionaria. Se compara el buildup entre ambos casos, absorbente y reflejante, encontrando que para tiempos cortos el buildup depende de la condición inicial (CI) utilizada, mientras que, para tiempos grandes, es independiente de dicha CI. Usando la CI reflejante, se analiza el buildup desde un tiempo prácticamente cero, hasta que se alcanza la situación estacionaria. Los resultados encontrados pueden ser relevantes en el contexto de la respuesta rápida en los dispositivos conocidos como diodos de tunelaje resonante. 2020-09-30 2021-06-03T03:52:33Z 2021-06-03T03:52:33Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Research article Artículo de investigación https://recit.uabc.mx/index.php/revista/article/view/tln1 10.37636/recit.v33173180 https://hdl.handle.net/20.500.12930/7017 spa https://recit.uabc.mx/index.php/revista/article/view/tln1/pdf https://recit.uabc.mx/index.php/revista/article/view/tln1/html https://recit.uabc.mx/index.php/revista/article/view/tln1/TLN1 Copyright (c) 2020 Alberto Hernández Maldonado http://creativecommons.org/licenses/by/4.0 application/pdf text/html application/xml Universidad Autónoma de Baja California REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 3 No. 3 (2020); 173-180 REVISTA DE CIENCIAS TECNOLÓGICAS; Vol. 3 Núm. 3 (2020); 173-180 2594-1925
institution	Repositorio Institucional
collection	DSpace
language	spa
topic	Quantum transients Double delta potential Moshinsky shutter. Transitorios cuánticos Potencial doble delta Obturador de Moshinsky.
spellingShingle	Quantum transients Double delta potential Moshinsky shutter. Transitorios cuánticos Potencial doble delta Obturador de Moshinsky. Hernández Maldonado, Alberto Dynamics of the probability density in the internal region of a double for a Dirac delta potential
description	Based on exact analytical solutions of the time-dependent Schrödinger equation, and initial conditions of plane waves cut in x-space by an absorbing or reflecting quantum shutter, the dynamic behavior of the electronic probability density or buildup is analyzed, in the internal region of a double Dirac delta potential double, from very short times (given in half-lives), until reaching the stationary situation. The buildup is compared between both cases, absorbent and reflective quantum shutter, finding that for short times the buildup depends on the initial condition (IC) used, while for long times, it is independent of said IC. Using the reflecting IC, the buildup is analyzed from practically zero time, until the steady-state is reached. The results found may be relevant in the context of rapid response in devices known as resonant tunneling diodes.
format	info:eu-repo/semantics/article
author	Hernández Maldonado, Alberto
author_facet	Hernández Maldonado, Alberto
author_sort	Hernández Maldonado, Alberto
title	Dynamics of the probability density in the internal region of a double for a Dirac delta potential
title_short	Dynamics of the probability density in the internal region of a double for a Dirac delta potential
title_full	Dynamics of the probability density in the internal region of a double for a Dirac delta potential
title_fullStr	Dynamics of the probability density in the internal region of a double for a Dirac delta potential
title_full_unstemmed	Dynamics of the probability density in the internal region of a double for a Dirac delta potential
title_sort	dynamics of the probability density in the internal region of a double for a dirac delta potential
publisher	Universidad Autónoma de Baja California
publishDate	2020
url	https://recit.uabc.mx/index.php/revista/article/view/tln1
_version_	1792609717079506944

Dynamics of the probability density in the internal region of a double for a Dirac delta potential

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