The Dunkl-Fokker-Planck Equation in $1+1$ Dimensions

• URL: http://arxiv.org/abs/2310.05016v3
• Date: Sat, 16 Mar 2024 03:10:18 GMT
• Title: The Dunkl-Fokker-Planck Equation in $1+1$ Dimensions
• Authors: R. D. Mota, D. Ojeda-Guillén, M. A. Xicoténcatl,
• Abstract summary: We obtain the Dunkl-Fokker-Planck eigenvalues equation and solve it for the harmonic oscillator plus a centrifugal-type potential. We reduce our results to those of the recently developed Wigner-Dunkl supersymmetry.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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