Format:
Online-Ressource (XVII, 333 p, online resource)
ISBN:
9783540339229
Series Statement:
Lecture Notes in Mathematics 1880
Content:
to the Theory of Linear Operators -- to Quantum Statistical Mechanics -- Elements of Operator Algebras and Modular Theory -- Quantum Dynamical Systems -- The Ideal Quantum Gas -- Topics in Spectral Theory.
Content:
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.
Note:
Description based upon print version of record
,
""Preface""; ""Contents""; ""List of Contributors""; ""Introduction to the Theory of Linear Operators""; ""Introduction to Quantum Statistical Mechanics""; ""Elements of Operator Algebras and Modular Theory""; ""Quantum Dynamical Systems""; ""The Ideal Quantum Gas""; ""Topics in Spectral Theory""; ""Index of Volume I""; ""Information about the other two volumes""; ""Contents of Volume II""; ""Index of Volume II""; ""Contents of Volume III""; ""Index of Volume III""
Additional Edition:
ISBN 9783540309918
Additional Edition:
Erscheint auch als Druck-Ausgabe Open quantum systems ; 1: The Hamiltonian approach Berlin : Springer, 2006 ISBN 3540309918
Additional Edition:
ISBN 9783540309918
Language:
English
Subjects:
Mathematics
Keywords:
Quantenmechanisches System
;
Dissipatives System
;
Quantenmechanisches System
;
Dissipatives System
;
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