The Dunkl-Fokker-Planck Equation in $1+1$ Dimensions
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914715700035584 |
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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 | By replacing the spatial derivative with the Dunkl derivative, we generalize the Fokker-Planck equation in (1+1) dimensions. We obtain the Dunkl-Fokker-Planck eigenvalues equation and solve it for the harmonic oscillator plus a centrifugal-type potential. Furthermore, when the drift function is odd, we reduce our results to those of the recently developed Wigner-Dunkl supersymmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_05016 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Dunkl-Fokker-Planck Equation in $1+1$ Dimensions Mota, R. D. Ojeda-Guillén, D. Xicoténcatl, M. A. Mathematical Physics Quantum Physics By replacing the spatial derivative with the Dunkl derivative, we generalize the Fokker-Planck equation in (1+1) dimensions. We obtain the Dunkl-Fokker-Planck eigenvalues equation and solve it for the harmonic oscillator plus a centrifugal-type potential. Furthermore, when the drift function is odd, we reduce our results to those of the recently developed Wigner-Dunkl supersymmetry. |
| title | The Dunkl-Fokker-Planck Equation in $1+1$ Dimensions |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2310.05016 |