The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911760040067072 |
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| author | Mota, R. D. Ojeda-Guillén, D. Xicoténcatl, M. A. |
| author_facet | Mota, R. D. Ojeda-Guillén, D. Xicoténcatl, M. A. |
| contents | In this work we introduce two different generalizations of the Fokker-Planck equation in (1+1) dimensions by replacing the spatial derivatives in terms of generalized Dunkl-type derivatives involving reflection operators. As applications of these results, we solve exactly the generalized Fokker-Planck equations for the harmonic oscillator and the centrifugal-type potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_05017 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives Mota, R. D. Ojeda-Guillén, D. Xicoténcatl, M. A. Mathematical Physics Quantum Physics In this work we introduce two different generalizations of the Fokker-Planck equation in (1+1) dimensions by replacing the spatial derivatives in terms of generalized Dunkl-type derivatives involving reflection operators. As applications of these results, we solve exactly the generalized Fokker-Planck equations for the harmonic oscillator and the centrifugal-type potentials. |
| title | The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2310.05017 |