Multi-parameter isospectral Fokker-Planck equations

• URL: http://arxiv.org/abs/2506.12939v2
• Date: Wed, 25 Jun 2025 16:20:38 GMT
• Title: Multi-parameter isospectral Fokker-Planck equations
• Authors: Choon-Lin Ho,
• Abstract summary: From a given Fokker-Planck equation, a multi- parameter deformed partner Fokker-Planck equation is constructed.<n> Extension to fractional Fokker-Planck equation is briefly discussed.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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