The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives
Mathematical Physics
2024-01-19 v4 math.MP
Quantum Physics
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
Cite
@article{arxiv.2310.05017,
title = {The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives},
author = {R. D. Mota and D. Ojeda-Guillén and M. A. Xicoténcatl},
journal= {arXiv preprint arXiv:2310.05017},
year = {2024}
}
Comments
14 pages, 2 figures, 2 tables. arXiv admin note: text overlap with arXiv:2310.05016