dorsal/arxiv
View SchemaFokker-Planck and Langevin Equations from Forward--Backward Path Integral
| Authors | Hagen Kleinert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008109 |
| URL | https://arxiv.org/abs/quant-ph/0008109 |
| DOI | 10.1006/aphy.2001.6158 |
| Journal | Ann. Phys. 291 (2001) 14 |
Abstract
Starting from a forward--backward path integral of a point particle in a bath of harmonic oscillators, we derive the Fokker-Planck and Langevin equations with and without inertia. Special emphasis is placed upon the correct operator order in the time evolution operator. The crucial step is the evaluation of a Jacobian with a retarded time derivative by analytic regularization.
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"abstract": "Starting from a forward--backward path integral of a point particle in a bath\nof harmonic oscillators, we derive the Fokker-Planck and Langevin equations\nwith and without inertia. Special emphasis is placed upon the correct operator\norder in the time evolution operator. The crucial step is the evaluation of a\nJacobian with a retarded time derivative by analytic regularization.",
"arxiv_id": "quant-ph/0008109",
"authors": [
"Hagen Kleinert"
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"doi": "10.1006/aphy.2001.6158",
"journal_ref": "Ann. Phys. 291 (2001) 14",
"title": "Fokker-Planck and Langevin Equations from Forward--Backward Path Integral",
"url": "https://arxiv.org/abs/quant-ph/0008109"
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