000 03696nam a22005415i 4500
001 978-3-540-33967-0
003 DE-He213
005 20160624101749.0
007 cr nn 008mamaa
008 100301s2006 gw | s |||| 0|eng d
020 _a9783540339670
_9978-3-540-33967-0
024 7 _a10.1007/b128453
_2doi
050 4 _aQA313
072 7 _aPBWR
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.39
_223
082 0 4 _a515.48
_223
245 1 0 _aOpen Quantum Systems III
_h[electronic resource] :
_bRecent Developments /
_cedited by Stéphane Attal, Alain Joye, Claude-Alain Pillet.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2006.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2006.
300 _aXVI, 314 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1882
505 0 _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.
520 _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.
650 0 _aMathematics.
650 0 _aDifferentiable dynamical systems.
650 0 _aOperator theory.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aOperator Theory.
700 1 _aAttal, Stéphane.
_eeditor.
700 1 _aJoye, Alain.
_eeditor.
700 1 _aPillet, Claude-Alain.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540309932
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1882
856 4 0 _uhttp://dx.doi.org/10.1007/b128453
942 _2EBK42
_cEBK
999 _c29336
_d29336