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arXiv · 2506.12939

Multi-parameter isospectral Fokker-Planck equations

Choon-Lin Ho
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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.

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BibTeXRIS

Choon-Lin Ho. 2025-06-15. Multi-parameter isospectral Fokker-Planck equations. https://arxiv.org/abs/2506.12939

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