TY  - BOOK
AU  - Attal,Stéphane
AU  - Joye,Alain
AU  - Pillet,Claude-Alain
ED  - SpringerLink (Online service)
TI  - Open Quantum Systems III: Recent Developments 
T2  - Lecture Notes in Mathematics,
SN  - 9783540339670
AV  - QA313 
U1  - 515.39 23
PY  - 2006///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Differentiable dynamical systems
KW  - Operator theory
KW  - Distribution (Probability theory)
KW  - Dynamical Systems and Ergodic Theory
KW  - Probability Theory and Stochastic Processes
KW  - Operator Theory
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/b128453
ER  -