On the two-dimensional harmonic oscillator with an electric field confined to a circular box
Abstract We revisit the quantum-mechanical two-dimensional harmonic oscillator with an electric field confined to a circular box of impenetrable walls. In order to obtain the energy spectrum we resort to the Rayleigh-Ritz method with polynomial and Gaussian basis sets. We compare present results with those derived recently by other authors. We discuss the limits of large and small box radius and also do some calculations with perturbation theory.
Authors
- Javier Garcia (ORCID: https://orcid.org/0000-0002-3264-4359)
- Francisco M. Fernández (ORCID: https://orcid.org/0000-0003-0393-790X)
- N. Aquino (ORCID: https://orcid.org/0000-0002-3795-0304)
- A. Flores‐Riveros
Institutions
- Universidad Autónoma Metropolitana (MX)
- Instituto de Física La Plata (AR)
- Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas (AR)
- Benemérita Universidad Autónoma de Puebla (MX)
Publication Details
- Journal
- Physica Scripta
- Published
- 2024-11-13
- DOI
- https://doi.org/10.1088/1402-4896/ad921f
- Citations
- 1
- Primary Topic
- Gyrotron and Vacuum Electronics Research
- Type
- article
- Field-Weighted Citation Impact
- 0.34