Quantum Dynamical Systems

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Robert Alicki (Institute of Theoretical Physics and Astrophysics, Institute of Theoretical Physics and Astrophysics, University of Gdansk, Poland) Mark Fannes (, Instituut voor Theoretische Fysica, K. U. Leuven, Belgium)

Quantum Dynamical Systems

Robert Alicki (Institute of Theoretical Physics and Astrophysics, Institute of Theoretical Physics and Astrophysics, University of Gdansk, Poland), Mark Fannes (, Instituut voor Theoretische Fysica, K. U. Leuven, Belgium)

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English

Oxford University Press
01 July 2001

Non-linear science; Chaos theory; Quantum physics (quantum mechanics & quantum field theory); Statistical physics

The present book provides a unified and general framework for studying quantum and classical dynamical systems, both finite and infinite, conservative and dissipative. Special attention is paid to the use of statistical and geometrical techniques, such as multitime correlation functions, quantum dynamical entropy, and non-commutative Lyapunov exponents, for systems with a complex evolution.

The material is presented in a concise but self-contained and mathematically friendly way. The main ideas are introduced and illustrated by numerous examples which are directly connected to the relevant physics. Suggestions for further reading are included at the end of each chapter. The book addresses graduate students both in physics and mathematics with interests in mathematical aspects of quantum physics and applications of ergodic theory, operator algebras and statistics to physics, but without any prior knowledge of these subjects.

By: Robert Alicki (Institute of Theoretical Physics and Astrophysics Institute of Theoretical Physics and Astrophysics University of Gdansk Poland), Mark Fannes (, Instituut voor Theoretische Fysica, K. U. Leuven, Belgium)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 242mm, Width: 162mm, Spine: 22mm
Weight: 570g
ISBN: 9780198504009
ISBN 10: 0198504004
Pages: 296
Publication Date: 01 July 2001
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Preface 1: Introduction 2: Basic tools for quantum mechanics 3: Deterministic dynamics 4: Spin chains 5: Algebraic tools 6: Fermionic dynamical systems 7: Ergodic theory 8: Quantum irreversibility 9: Entropy 10: Dynamical entropy 11: Classical dynamical entropy 12: Finite quantum systems 13: Model systems 14: Epilogue Index Bibliography

Professor Robert Alicki, Institute of Theoretical Physics and Astrophysics, University of Gdansk, Poland. Professor Mark Fannes, Instituut voor Theoretische Fysica, K.U. Leuven, Belgium.