A stochastic golden rule and quantum Langevin equation for the low density limit

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dc.creatorAccardi, L.
dc.creatorPechen, A. N.
dc.creatorVolovich, I. V.
dc.date2002-06-18
dc.date.accessioned2026-07-07T04:29:16Z
dc.date.available2026-07-07T04:29:16Z
dc.descriptionA rigorous derivation of quantum Langevin equation from microscopic dynamics in the low density limit is given. We consider a quantum model of a microscopic system (test particle) coupled with a reservoir (gas of light Bose particles) via interaction of scattering type. We formulate a mathematical procedure (the so-called stochastic golden rule) which allows us to determine the quantum Langevin equation in the limit of large time and small density of particles of the reservoir. The quantum Langevin equation describes not only dynamics of the system but also the reservoir. We show that the generator of the corresponding master equation has the Lindblad form of most general generators of completely positive semigroups.
dc.identifierhttps://arxiv.org/abs/math-ph/0206032
dc.identifierhttp://arxiv.org/abs/math-ph/0206032
dc.identifierInfinite Dimens. Analysis Quantum Probab. Relat. Topics, Vol. 6 N3 (2003) pp. 431-453
dc.identifierdoi:10.1142/S0219025703001304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57091
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectQuantum Physics
dc.titleA stochastic golden rule and quantum Langevin equation for the low density limit
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