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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2411.02955 |
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| _version_ | 1866915005962649600 |
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| author | Kumar, Rajesh Yadav, Rajesh Kumar Khare, Avinash |
| author_facet | Kumar, Rajesh Yadav, Rajesh Kumar Khare, Avinash |
| contents | This paper presents the first-order supersymmetric rational extension of the quantum anisotropic harmonic oscillator (QAHO) in multiple dimensions, including full-line, half-line, and their combinations. The exact solutions are in terms of the exceptional orthogonal polynomials. The rationally extended potentials are isospectral to the conventional QAHOs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02955 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions Kumar, Rajesh Yadav, Rajesh Kumar Khare, Avinash Quantum Physics High Energy Physics - Theory Mathematical Physics This paper presents the first-order supersymmetric rational extension of the quantum anisotropic harmonic oscillator (QAHO) in multiple dimensions, including full-line, half-line, and their combinations. The exact solutions are in terms of the exceptional orthogonal polynomials. The rationally extended potentials are isospectral to the conventional QAHOs. |
| title | Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions |
| topic | Quantum Physics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2411.02955 |