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

2024/08/02 by Francisco M. Fernández, Fernández, Francisco M., Javier Garcia +5
Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2408.01593

openalex publication_date 2024/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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