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

• URL: http://arxiv.org/abs/2310.05017v4
• Date: Thu, 18 Jan 2024 00:40:01 GMT
• Title: The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives
• Authors: R. D. Mota, D. Ojeda-Guill\'en and M. A. Xicot\'encatl
• Abstract summary: We introduce two different generalizations of the Fokker-Planck equation in (1+1) dimensions. We solve exactly the generalized Fokker-Planck equations for the harmonic oscillator and the centrifugal-type potentials.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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