dorsal/arxiv
View SchemaSupersymmetry in Stochastic Processes with Higher-Order Time Derivatives
| Authors | Hagen Kleinert, Sergei V. Shabanov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9705042 |
| URL | https://arxiv.org/abs/quant-ph/9705042 |
| DOI | 10.1016/S0375-9601(97)00660-9 |
| Journal | Phys.Lett. A235 (1997) 105-112 |
Abstract
A supersymmetric path integral representation is developed for stochastic processes whose Langevin equation contains any number N of time derivatives, thus generalizing the Langevin equation with inertia studied by Kramers, where N=2. The supersymmetric action contains N fermion fields with first-order time derivatives whose path integral is evaluated for fermionless asymptotic states.
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"abstract": "A supersymmetric path integral representation is developed for stochastic\nprocesses whose Langevin equation contains any number N of time derivatives,\nthus generalizing the Langevin equation with inertia studied by Kramers, where\nN=2. The supersymmetric action contains N fermion fields with first-order time\nderivatives whose path integral is evaluated for fermionless asymptotic states.",
"arxiv_id": "quant-ph/9705042",
"authors": [
"Hagen Kleinert",
"Sergei V. Shabanov"
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"doi": "10.1016/S0375-9601(97)00660-9",
"journal_ref": "Phys.Lett. A235 (1997) 105-112",
"title": "Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives",
"url": "https://arxiv.org/abs/quant-ph/9705042"
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