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

Authors :
Mota, R. D.
Ojeda-Guillén, D.
Xicoténcatl, M. A.
Source :
Few-Body Systems. Jun2024, Vol. 65 Issue 2, p1-7. 7p.
Publication Year :
2024

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]

Details

Language :
English
ISSN :
01777963
Volume :
65
Issue :
2
Database :
Academic Search Index
Journal :
Few-Body Systems
Publication Type :
Academic Journal
Accession number :
176087519
Full Text :
https://doi.org/10.1007/s00601-024-01898-1