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

• URL: http://arxiv.org/abs/2408.01593v1
• Date: Fri, 2 Aug 2024 22:36:48 GMT
• Title: On the two-dimensional harmonic oscillator with an electric field confined to a circular box
• Authors: Francisco M. Fernández, Javier Garcia, Norberto Aquino, Antonio Flores-Riveros,
• Abstract summary: We revisit the quantum-mechanical two-dimensional harmonic oscillator with an electric field confined to a circular box. In order to obtain the energy spectrum we resort to Rayleigh-Ritzitz method with impenetrable walls and Gaussian basis sets. We discuss the limits of large and small box radius and also do some calculations with perturbation theory.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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