Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917983082774528 |
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| author | Lütfüoğlu, B. C. Benchikha, A. Hamil, B. Khantoul, B. |
| author_facet | Lütfüoğlu, B. C. Benchikha, A. Hamil, B. Khantoul, B. |
| contents | In this manuscript, we investigate the analytical solution of the time-dependent Schrödinger equation for a harmonic oscillator with time-dependent mass and frequency, coupled with angular-dependent potential energy by utilizing the Dunkl derivatives. To obtain the solution, we employ the Lewis-Riesenfeld invariant methodology. Our approach broadens the scope of quantum mechanical analyses, offering exact solutions and new insights into dynamic quantum systems under varying conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02021 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential Lütfüoğlu, B. C. Benchikha, A. Hamil, B. Khantoul, B. Quantum Physics In this manuscript, we investigate the analytical solution of the time-dependent Schrödinger equation for a harmonic oscillator with time-dependent mass and frequency, coupled with angular-dependent potential energy by utilizing the Dunkl derivatives. To obtain the solution, we employ the Lewis-Riesenfeld invariant methodology. Our approach broadens the scope of quantum mechanical analyses, offering exact solutions and new insights into dynamic quantum systems under varying conditions. |
| title | Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2408.02021 |