The generalized Fokker–Planck equation in terms of Dunkl-type derivatives

R.D. Mota, D. Ojeda-Guillén and M.A. Xicoténcatl

Physica A: Statistical Mechanics and its Applications, 2024, vol. 635, issue C

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.

Keywords: Dunkl-type derivatives; Fokker–Planck equation; Harmonic oscillator (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:635:y:2024:i:c:s0378437124000335

DOI: 10.1016/j.physa.2024.129525

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