Work

On the two-dimensional harmonic oscillator with an electric field confined to a circular box

Year: 2024

Type: article

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.

Source: Physica Scripta

DOI: 10.1088/1402-4896/ad921f

Authors: Francisco M Fernández, Javier Garcia, Norberto Aquino, Antonio Flores-Riveros

Institutions: Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas, Consejo Nacional de Investigaciones Científicas y Técnicas, Instituto de Física La Plata, Universidad Nacional de La Plata, Universidad Autónoma Metropolitana, Benemérita Universidad Autónoma de Puebla

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4404311297

FWCI: 0.657

Cites: 4

Cited by: 1

Related to: 10