On the two-dimensional harmonic oscillator with an electric field confined to a circular box
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913457641619456 |
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| author | Fernández, Francisco M. Garcia, Javier Aquino, Norberto Flores-Riveros, Antonio |
| author_facet | Fernández, Francisco M. Garcia, Javier Aquino, Norberto Flores-Riveros, Antonio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01593 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the two-dimensional harmonic oscillator with an electric field confined to a circular box Fernández, Francisco M. Garcia, Javier Aquino, Norberto Flores-Riveros, Antonio Quantum Physics 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. |
| title | On the two-dimensional harmonic oscillator with an electric field confined to a circular box |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.01593 |