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

Autor: Izamar Gutiérrez Altamirano, Alonso Contreras-Astorga, Alfredo Raya Montaño
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Acta Polytechnica, Vol 62, Iss 1, Pp 56-62 (2022)
Druh dokumentu: article
ISSN: 1805-2363
DOI: 10.14311/AP.2022.62.0056
Popis: 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.
Databáze: Directory of Open Access Journals