One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912049400905728 |
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| author | Benchikha, A. Hamil, B. Lütfüoğlu, B. C. Khantoul, B. |
| author_facet | Benchikha, A. Hamil, B. Lütfüoğlu, B. C. Khantoul, B. |
| contents | In the present manuscript, we employ the Feynman path integral method to derive the propagator in one-dimensional Wigner-Dunkl quantum mechanics. To verify our findings we calculate the propagator associated with the free particle and the harmonic oscillator in the presence of the Dunkl derivative. We also deduce the energy spectra and the corresponding bound-state wave functions from the spectral decomposition of the propagator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12644 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach Benchikha, A. Hamil, B. Lütfüoğlu, B. C. Khantoul, B. Quantum Physics In the present manuscript, we employ the Feynman path integral method to derive the propagator in one-dimensional Wigner-Dunkl quantum mechanics. To verify our findings we calculate the propagator associated with the free particle and the harmonic oscillator in the presence of the Dunkl derivative. We also deduce the energy spectra and the corresponding bound-state wave functions from the spectral decomposition of the propagator. |
| title | One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.12644 |