Multi-parameter isospectral Fokker-Planck equations
Mathematical Physics
2025-06-26 v2 Statistical Mechanics
General Relativity and Quantum Cosmology
math.MP
Quantum Physics
Abstract
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.
Cite
@article{arxiv.2506.12939,
title = {Multi-parameter isospectral Fokker-Planck equations},
author = {Choon-Lin Ho},
journal= {arXiv preprint arXiv:2506.12939},
year = {2025}
}
Comments
15 pages, no figures