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Deterministic Chaos in Infinite Quantum Systems Book

Deterministic Chaos in Infinite Quantum Systems
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Deterministic Chaos in Infinite Quantum Systems, The concept of entropy as established by Kolmogorov and Sinai turned out to be a useful tool in classical ergodic theory, especially for studying the irregular behaviour of systems. Recently an analogous concept of (non-commutative) entropy for infinite q, Deterministic Chaos in Infinite Quantum Systems
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  • Deterministic Chaos in Infinite Quantum Systems
  • Written by author Fabio Benatti
  • Published by Springer-Verlag New York, LLC, 11/3/1993
  • The concept of entropy as established by Kolmogorov and Sinai turned out to be a useful tool in classical ergodic theory, especially for studying the irregular behaviour of systems. Recently an analogous concept of (non-commutative) entropy for infinite q
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Book Categories

Authors

1 Introduction 1
2 Classical Ergodic Theory 3
2.1 Irreversibility 3
2.2 Entropy 22
2.3 Topological Properties of Dynamical Systems 47
3 Algebraic Approach to Classical Ergodic Theory 53
3.1 Abelian C* Dynamical Systems 53
3.2 Abelian W* Dynamical Systems 55
3.3 W* Algebras: KS-Entropy and K-Systems 59
3.4 C* Algebras: Classical Topological Entropy 66
4 Infinite Quantum Systems 69
4.1 Useful Tools from Finite Quantum Systems 69
4.2 GNS-Construction 83
4.3 Ergodic Properties in Quantum Systems 106
4.4 Algebraic Quantum Kolmogorov Systems 128
5 Connes-Narnhofer-Thirring Entropy 141
5.1 Basic Ideas and Construction 1 141
5.2 Basic Ideas and Construction 2 153
5.3 CNT-Entropy: Applications 162
5.4 Short History of the Topic and Latest Developments 183
5.5 Entropic Quantum Kolmogorov Systems 187
5.6 Ideas for a Non-commutative Topological Entropy 198
6 Appendix 209
References 213
Index of Symbols 221
Index 223


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Deterministic Chaos in Infinite Quantum Systems, The concept of entropy as established by Kolmogorov and Sinai turned out to be a useful tool in classical ergodic theory, especially for studying the irregular behaviour of systems. Recently an analogous concept of (non-commutative) entropy for infinite q, Deterministic Chaos in Infinite Quantum Systems

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Deterministic Chaos in Infinite Quantum Systems, The concept of entropy as established by Kolmogorov and Sinai turned out to be a useful tool in classical ergodic theory, especially for studying the irregular behaviour of systems. Recently an analogous concept of (non-commutative) entropy for infinite q, Deterministic Chaos in Infinite Quantum Systems

Deterministic Chaos in Infinite Quantum Systems

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Deterministic Chaos in Infinite Quantum Systems, The concept of entropy as established by Kolmogorov and Sinai turned out to be a useful tool in classical ergodic theory, especially for studying the irregular behaviour of systems. Recently an analogous concept of (non-commutative) entropy for infinite q, Deterministic Chaos in Infinite Quantum Systems

Deterministic Chaos in Infinite Quantum Systems

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