The Dunkl–Fokker–Planck Equation in 1 + 1 Dimensions
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.
- Publication:
-
Few-Body Systems
- Pub Date:
- June 2024
- DOI:
- 10.1007/s00601-024-01898-1
- arXiv:
- arXiv:2310.05016
- Bibcode:
- 2024FBS....65...25M
- Keywords:
-
- Mathematical Physics;
- Quantum Physics
- E-Print:
- 10 pages