Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916413322559488 |
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| author | Benchikha, A. Khantoul, B. Hamil, B. Lütfüoğlu, B. C. |
| author_facet | Benchikha, A. Khantoul, B. Hamil, B. Lütfüoğlu, B. C. |
| contents | In this paper, using the Lewis-Riesenfeld method, we determine the explicit form of the wavefunctions of one- and three-dimensional harmonic oscillators with time-dependent mass and frequency within the framework of the Dunkl derivative, which leads to the derivation of a parity-dependent of the invariant and auxiliary equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08531 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential Benchikha, A. Khantoul, B. Hamil, B. Lütfüoğlu, B. C. Quantum Physics In this paper, using the Lewis-Riesenfeld method, we determine the explicit form of the wavefunctions of one- and three-dimensional harmonic oscillators with time-dependent mass and frequency within the framework of the Dunkl derivative, which leads to the derivation of a parity-dependent of the invariant and auxiliary equation. |
| title | Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.08531 |