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Titlebook: Dynamics of Dissipation; Piotr Garbaczewski,Robert Olkiewicz Book 2002 Springer-Verlag Berlin Heidelberg 2002 chaos.decoherence.dissipatio

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Introductionenomena. A broad cross-disciplinary perspective towards non-equilibrium statistical mechanics is backed by the general theory of nonlinear and complex dynamical systems. The classical-quantum intertwine and semiclassical dissipative borderline issue (decoherence, “classical out of quantum”) are here included.
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Finite Dissipative Quantum Systemswith special emphasis on the notions of complete positivity and normality for the quantum evolutions. Damping is then used to stabilise the motion of a kicked oscillator. Some statistical features of the orbits of the kicked quantum oscillator with damping are analysed in the semi-classical regime.
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The Equations of Inviscid Compressible Flow,gradients. Various measures and functional forms of observables are presented. The quantum problem is set up using random matrix techniques, which allows for the construction of the master equation. Special solutions are discussed.
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