The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives
arXiv:2310.05017 · doi:10.1016/j.physa.2024.129525
Abstract
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 derivatives involving reflection operators. As applications of these results, we solve exactly the generalized Fokker-Planck equations for the harmonic oscillator and the centrifugal-type potentials.
14 pages, 2 figures, 2 tables. arXiv admin note: text overlap with arXiv:2310.05016
References in corpus (5)
- Dirac(-Pauli), Fokker-Planck equations and exceptional Laguerre polynomials
- Thermal Properties of Relativistic Dunkl Oscillators
- The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic
- Superintegrability on the Dunkl oscillator model in three-Dimensional spaces of constant curvature
- Generalization of SUSY Intertwining Relations: New Exact Solutions of Fokker-Planck Equation
Cited by in corpus (8)
- Dunkl-Schrodinger Equation in Higher Dimension
- Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential
- One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach
- Time-dependent Dunkl-Pauli Oscillator
- Dunkl-Klein-Gordon Equation in Higher Dimensions
- Bounding the Wigner Deformation Parameter in Harmonically Trapped Bose Gases
- Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications
- Exact Solutions of the Schrödinger-Dunkl Equation for a Free Particle in a Finite and Infinite Cylindrical Well