The Dunkl-Fokker-Planck Equation in $1+1$ Dimensions
Mathematical Physics
2024-03-19 v3 math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2310.05016,
title = {The Dunkl-Fokker-Planck Equation in $1+1$ Dimensions},
author = {R. D. Mota and D. Ojeda-Guillén and M. A. Xicoténcatl},
journal= {arXiv preprint arXiv:2310.05016},
year = {2024}
}
Comments
10 pages