dorsal/arxiv
View SchemaQuantum Langevin equation from forward--backward path integral
| Authors | H. Kleinert, S. V. Shabanov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9503004 |
| URL | https://arxiv.org/abs/quant-ph/9503004 |
| DOI | 10.1016/0375-9601(95)00169-4 |
| Journal | Phys.Lett. A200 (1995) 224-232 |
Abstract
The quantum Langevin equation is derived from the Feynman-Veron forward--backward path integral representation for a density matrix of a quantum system in a thermal oscillator bath. We exhibit the mechanism by which the classical, $c$-valued noise in the Feynman-Vernon theory turns into an operator-valued quantum noise fulfilling characteristic commutation relation necessary for the unitarity of the time evolution in the quantum Langevin equation.
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"abstract": "The quantum Langevin equation is derived from the Feynman-Veron\nforward--backward path integral representation for a density matrix of a\nquantum system in a thermal oscillator bath. We exhibit the mechanism by which\nthe classical, $c$-valued noise in the Feynman-Vernon theory turns into an\noperator-valued quantum noise fulfilling characteristic commutation relation\nnecessary for the unitarity of the time evolution in the quantum Langevin\nequation.",
"arxiv_id": "quant-ph/9503004",
"authors": [
"H. Kleinert",
"S. V. Shabanov"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-th"
],
"doi": "10.1016/0375-9601(95)00169-4",
"journal_ref": "Phys.Lett. A200 (1995) 224-232",
"title": "Quantum Langevin equation from forward--backward path integral",
"url": "https://arxiv.org/abs/quant-ph/9503004"
},
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