Deterministic Chaos in Infinite Quantum Systems [E-Book] / by Fabio Benatti.
The purpose of this volume is to give a detailed account of a series of re sults concerning some ergodic questions of quantum mechanics which have the past six years following the formulation of a generalized been addressed in Kolmogorov-Sinai entropy by A.Connes, H.Narnhofer and W.Thirring. Classi...
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Full text |
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Personal Name(s): | Benatti, Fabio, author |
Imprint: |
Berlin, Heidelberg :
Springer,
1993
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Physical Description: |
VI, 225 p. online resource. |
Note: |
englisch |
ISBN: |
9783642849992 |
DOI: |
10.1007/978-3-642-84999-2 |
Series Title: |
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Trieste Notes in Physics
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Subject (LOC): |
- 1 Introduction
- 2 Classical Ergodic Theory
- 2.1 Irreversibility
- 2.2 Entropy
- 2.3 Topological Properties of Dynamical Systems
- 3 Algebraic Approach to Classical Ergodic Theory
- 3.1 Abelian C* Dynamical Systems
- 3.2 Abelian W* Dynamical Systems
- 3.3 W* Algebras: KS-Entropy and K-Systems
- 3.4 C* Algebras: Classical Topological Entropy
- 4 Infinite Quantum Systems
- 4.1 Useful Tools from Finite Quantum Systems
- 4.2 GNS-Construction
- 4.3 Ergodic Properties in Quantum Systems
- 4.4 Algebraic Quantum Kolmogorov Systems
- 5 Connes-Narnhofer-Thirring Entropy
- 5.1 Basic Ideas and Construction 1
- 5.2 Basic Ideas and Construction 2
- 5.3 CNT-Entropy: Applications
- 5.4 Short History of the Topic and Latest Developments
- 5.5 Entropic Quantum Kolmogorov Systems
- 5.6 Ideas for a Non-commutative Topological Entropy
- 6 Appendix
- References
- Index of Symbols.