About this book
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.
Editors and affiliations
- Book Title Open Quantum Systems II
- Book Subtitle The Markovian Approach
- Series Title Lecture Notes in Mathematics
- DOI https://doi.org/10.1007/b128451
- Copyright Information Springer-Verlag Berlin Heidelberg 2006
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
- Softcover ISBN 978-3-540-30992-5
- eBook ISBN 978-3-540-33966-3
- Series ISSN 0075-8434
- Series E-ISSN 1617-9692
- Edition Number 1
- Number of Pages XVI, 244
- Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
Dynamical Systems and Ergodic Theory
Theoretical, Mathematical and Computational Physics
Probability Theory and Stochastic Processes
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