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1. The Dunkl–Fokker–Planck Equation in 1+1 Dimensions.

Author

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

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. [ABSTRACT FROM AUTHOR]

Published
2024
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