Dinámica de la densidad de probabilidad en la región interna de un potencial doble delta de Dirac

Alberto Hernández Maldonado

doi:10.37636/recit.v33173180

Authors

Alberto Hernández Maldonado Faculty of Engineering Sciences and Technology, Autonomous University of Baja California, Valle de las Palmas Unit, Tijuana, Baja California, Mexico. https://orcid.org/0000-0002-9768-4060

DOI:

https://doi.org/10.37636/recit.v33173180

Keywords:

Quantum transients, Double delta potential, Moshinsky shutter.

Abstract

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.

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