dorsal/arxiv
View SchemaExact derivation of the Langevin and master equations for harmonic quantum Brownian motion
| Authors | Edgardo T. Garcia Alvarez, Fabian H. Gaioli |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9807047 |
| URL | https://arxiv.org/abs/quant-ph/9807047 |
| DOI | 10.1016/S0378-4371(98)00148-4 |
| Journal | Physica A257:298-302,1998 |
Abstract
A many particle Hamiltonian, where the interaction term conserves the number of particles, is considered. A master equation for the populations of the different levels is derived in an exact way. It results in a local equation with time-dependent coefficients, which can be identified with the transition probabilities in the golden rule approximation. A reinterpretation of the model as a set of coupled harmonic oscillators enables one to obtain for one of them an exact local Langevin equation, with time-dependent coefficients.
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"abstract": "A many particle Hamiltonian, where the interaction term conserves the number\nof particles, is considered. A master equation for the populations of the\ndifferent levels is derived in an exact way. It results in a local equation\nwith time-dependent coefficients, which can be identified with the transition\nprobabilities in the golden rule approximation. A reinterpretation of the model\nas a set of coupled harmonic oscillators enables one to obtain for one of them\nan exact local Langevin equation, with time-dependent coefficients.",
"arxiv_id": "quant-ph/9807047",
"authors": [
"Edgardo T. Garcia Alvarez",
"Fabian H. Gaioli"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0378-4371(98)00148-4",
"journal_ref": "Physica A257:298-302,1998",
"title": "Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion",
"url": "https://arxiv.org/abs/quant-ph/9807047"
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