Multi-parameter isospectral Fokker-Planck equations
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912448693403648 |
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| author | Ho, Choon-Lin |
| author_facet | Ho, Choon-Lin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multi-parameter isospectral Fokker-Planck equations Ho, Choon-Lin Mathematical Physics Statistical Mechanics General Relativity and Quantum Cosmology Quantum Physics 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. |
| title | Multi-parameter isospectral Fokker-Planck equations |
| topic | Mathematical Physics Statistical Mechanics General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2506.12939 |