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arXiv · 2310.05017

The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives

R. D. Mota·D. Ojeda-Guillén·M. A. Xicoténcatl
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Abstract

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.

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R. D. Mota, D. Ojeda-Guillén, M. A. Xicoténcatl. 2023-10-08. The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives. https://doi.org/10.1016/j.physa.2024.129525

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