Time-dependent step-like potential with a freezable bound state in the continuum

Authors

  • Izamar Gutiérrez Altamirano Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria. Francisco J. Mújica s/n. Col. Felícitas del Río. 58040 Morelia, Michoacán, México
  • Alonso Contreras-Astorga CONACyT–Physics Department, Cinvestav, P.O. Box. 14-740, 07000 Mexico City, Mexico
  • Alfredo Raya Montaño Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria. Francisco J. Mújica s/n. Col. Felícitas del Río. 58040 Morelia, Michoacán, México; Centro de Ciencias Exactas, Universidad del Bío-Bío, Avda. Andrés Bello 720, Casilla 447, 3800708, Chillán, Chile

DOI:

https://doi.org/10.14311/AP.2022.62.0056

Keywords:

bound states in the continuum, supersymmetric quantum mechanics, time-dependent quantum systems

Abstract

In this work, we construct a time-dependent step-like potential supporting a normalizable state with energy embedded in the continuum. The potential is allowed to evolve until a stopping time ti, where it becomes static. The normalizable state also evolves but remains localized at every fixed time up to ti. After this time, the probability density of this state freezes becoming a Bound state In the Continuum. Closed expressions for the potential, the freezable bound state in the continuum, and scattering states are given.

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References

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Published

2022-02-28

How to Cite

Gutiérrez Altamirano, I., Contreras-Astorga, A. ., & Raya Montaño , A. (2022). Time-dependent step-like potential with a freezable bound state in the continuum. Acta Polytechnica, 62(1), 56–62. https://doi.org/10.14311/AP.2022.62.0056

Issue

Vol. 62 No. 1 (2022): Analytic and Algebraic Methods in Physics

Section

Analytic and Algebraic Methods in Physics

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Copyright (c) 2022 Izamar Gutiérrez Altamirano, Alonso Contreras-Astorga, Alfredo Raya Montaño

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