LEADER 03757nam 2200661 450 001 9910483251603321 005 20211022125820.0 010 $a1-280-61496-X 010 $a9786610614967 010 $a3-540-33967-1 024 7 $a10.1007/b128453 035 $a(CKB)1000000000282892 035 $a(EBL)3036457 035 $a(SSID)ssj0000215240 035 $a(PQKBManifestationID)11208058 035 $a(PQKBTitleCode)TC0000215240 035 $a(PQKBWorkID)10167507 035 $a(PQKB)10666048 035 $a(DE-He213)978-3-540-33967-0 035 $a(MiAaPQ)EBC3036457 035 $a(MiAaPQ)EBC6551612 035 $a(Au-PeEL)EBL6551612 035 $a(OCoLC)77571034 035 $a(PPN)123130123 035 $a(EXLCZ)991000000000282892 100 $a20211022d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aOpen quantum systems /$fS. Attal, A. Joye, C.-A. Pillet (eds.) 205 $a1st ed. 2006. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer,$d[2006] 210 4$dİ2006 215 $a1 online resource (325 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1882 300 $aDescription based upon print version of record. 311 $a3-540-30993-4 320 $aIncludes bibliographical references and index. 327 $aTopics 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. 330 $aUnderstanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1882 606 $aOpen systems (Physics) 606 $aQuantum theory 615 0$aOpen systems (Physics) 615 0$aQuantum theory. 676 $a530.12 702 $aAttal$b S$g(Ste?phane), 702 $aPillet$b C.-A$g(Claude-Alain), 702 $aJoye$b Alain 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483251603321 996 $aOpen quantum systems$9724037 997 $aUNINA