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• W2019909453 abstract "We derive an exact Markovian kinetic equation for an oscillator linearly coupled to a heat bath, describing quantum Brownian motion. Our work is based on the subdynamics formulation developed by Prigogine and collaborators. The space of distribution functions is decomposed into independent subspaces that remain invariant under Liouville dynamics. For integrable systems in Poincar'e's sense the invariant subspaces follow the dynamics of uncoupled, renormalized particles. In contrast for non-integrable systems, the invariant subspaces follow a dynamics with broken-time symmetry, involving generalized functions. This result indicates that irreversibility and stochasticity are exact properties of dynamics in generalized function spaces. We comment on the relation between our Markovian kinetic equation and the Hu-Paz-Zhang equation." @default.
• W2019909453 created "2016-06-24" @default.
• W2019909453 creator A5040311626 @default.
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• W2019909453 date "2006-01-18" @default.
• W2019909453 modified "2023-09-25" @default.
• W2019909453 title "Exact Markovian kinetic equation for a quantum Brownian oscillator" @default.
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• W2019909453 doi "https://doi.org/10.1103/physreve.73.016120" @default.
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