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math-ph2026
Phase-space dynamics and multicomponent wave-packet structures in the Dunkl anharmonic oscillator
D. Ojeda-Guillén, R. D. Mota
We study the phase-space dynamics and multicomponent wave-packet structures of the Dunkl anharmonic oscillator (Kerr medium). Starting from the time-evolved state, we derive analyt…
math-ph2023★ 19 cited
The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives
R. D. Mota, D. Ojeda-Guillén, M. A. Xicoténcatl
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 de…
math-ph2023★ 16 cited
The Dunkl-Fokker-Planck Equation in Dimensions
R. D. Mota, D. Ojeda-Guillén, M. A. Xicoténcatl
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…