03757nam 2200661 450 991048325160332120211022125820.01-280-61496-X97866106149673-540-33967-110.1007/b128453(CKB)1000000000282892(EBL)3036457(SSID)ssj0000215240(PQKBManifestationID)11208058(PQKBTitleCode)TC0000215240(PQKBWorkID)10167507(PQKB)10666048(DE-He213)978-3-540-33967-0(MiAaPQ)EBC3036457(MiAaPQ)EBC6551612(Au-PeEL)EBL6551612(OCoLC)77571034(PPN)123130123(EXLCZ)99100000000028289220211022d2006 uy 0engur|n|---|||||txtccrOpen quantum systems /S. Attal, A. Joye, C.-A. Pillet (eds.)1st ed. 2006.Berlin, Germany ;New York, New York :Springer,[2006]©20061 online resource (325 p.)Lecture Notes in Mathematics,0075-8434 ;1882Description based upon print version of record.3-540-30993-4 Includes bibliographical references and index.Topics in Non-Equilibrium Quantum Statistical Mechanics -- Fermi Golden Rule and Open Quantum Systems -- Decoherence as Irreversible Dynamical Process in Open Quantum Systems -- Notes on the Qualitative Behaviour of Quantum Markov Semigroups -- Continual Measurements in Quantum Mechanics and Quantum Stochastic Calculus.Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements.Lecture Notes in Mathematics,0075-8434 ;1882Open systems (Physics)Quantum theoryOpen systems (Physics)Quantum theory.530.12Attal S(Stéphane),Pillet C.-A(Claude-Alain),Joye AlainMiAaPQMiAaPQMiAaPQBOOK9910483251603321Open quantum systems724037UNINA