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Invitation to Quantum Dynamical Semigroups

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Dynamics of Dissipation

Part of the book series: Lecture Notes in Physics ((LNP,volume 597))

Abstract

The theory of quantum dynamical semigroups within the mathematically rigorous framework of completely positive dynamical maps is reviewed. First, the axiomatic approach which deals with phenomenological constructions and general mathematical structures is discussed. Then basic derivation schemes of the constructive approach including singular coupling, weak coupling and low density limits are presented in their higly simplified versions. Two-level system coupled to a heat bath, damped harmonic oscillator, models of decoherence, quantum Brownian particle and Bloch-Boltzmann equations are used as illustrations of the general theory. Physical and mathematical limitations of the quantum open system theory, the validity of Markovian approximation and alternative approaches are discussed also.

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Author information

Authors and Affiliations

  1. Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Wita Stwosza 57, PL-80-952, Gdańsk, Poland

    R. Alicki

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  1. R. Alicki
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Editors and Affiliations

  1. Institute of Physics, University of Zielona Góra, pl. Słowiański 6, 65069, Zielona Góra, Poland

    Piotr Garbaczewski

  2. Institute of Theoretical Physics, University of Wrocław, pl. M. Borna 9, 50205, Wrocław, Poland

    Robert Olkiewicz

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© 2002 Springer-Verlag Berlin Heidelberg

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Alicki, R. (2002). Invitation to Quantum Dynamical Semigroups. In: Garbaczewski, P., Olkiewicz, R. (eds) Dynamics of Dissipation. Lecture Notes in Physics, vol 597. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46122-1_10

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  • DOI: https://doi.org/10.1007/3-540-46122-1_10

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  • Print ISBN: 978-3-540-44111-3

  • Online ISBN: 978-3-540-46122-7

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