2025/06/15 by Choon-Lin Ho, Ho, Choon-Lin
Physics and Astronomy · #Statistical Mechanics and Entropy #Advanced Thermodynamics and Statistical Mechanics #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.2506.12939
From a given Fokker-Planck equation, a multi-parameter deformed partner Fokker-Planck equation is constructed. This is done by first deleting a set of eigenstates of the original FPE by the multi-step Darboux-Crum transformation, and then reinstating the eigen-energy levels by the reverse Darboux-Crum transformation. Extension to fractional Fokker-Planck equation is briefly discussed. A recent study of the one-parameter isospectral FPE applied to black hole in the thermal potential approach is commented.