Deterministic Chaos in Infinite Quantum Systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1993
|
| Series: | Trieste Notes in Physics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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. Classical ergodicity and mixing are fully developed topics of mathematical physics dealing with the lowest levels in a hierarchy of increasingly random behaviours with the so-called Bernoulli systems at its apex showing a structure that characterizes them as Kolmogorov (K-) systems. It seems not only reasonable, but also inevitable to use classical ergodic theory as a guide in the study of ergodic behaviours of quantum systems. The question is which kind of random behaviours quantum systems can exhibit and whether there is any way of classifying them. Asymptotic statistical independence and, correspondingly, complete lack of control over the distant future are typical features of classical K-systems. These properties are fully characterized by the dynamical entropy of Kolmogorov and Sinai, so that the introduction of a similar concept for quantum systems has provided the opportunity of raising meaningful questions and of proposing some non-trivial answers to them. Since in the following we shall be mainly concerned with infinite quantum systems, the algebraic approach to quantum theory will provide us with the necessary analytical tools which can be used in the commutative context, too |
| Physical Description: | 1 Online-Ressource (VI, 225p) |
| ISBN: | 9783642849992 9783540570172 |
| DOI: | 10.1007/978-3-642-84999-2 |
Staff View
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| spelling | Benatti, Fabio Verfasser aut Deterministic Chaos in Infinite Quantum Systems by Fabio Benatti Berlin, Heidelberg Springer Berlin Heidelberg 1993 1 Online-Ressource (VI, 225p) txt rdacontent c rdamedia cr rdacarrier Trieste Notes in Physics 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. Classical ergodicity and mixing are fully developed topics of mathematical physics dealing with the lowest levels in a hierarchy of increasingly random behaviours with the so-called Bernoulli systems at its apex showing a structure that characterizes them as Kolmogorov (K-) systems. It seems not only reasonable, but also inevitable to use classical ergodic theory as a guide in the study of ergodic behaviours of quantum systems. The question is which kind of random behaviours quantum systems can exhibit and whether there is any way of classifying them. Asymptotic statistical independence and, correspondingly, complete lack of control over the distant future are typical features of classical K-systems. These properties are fully characterized by the dynamical entropy of Kolmogorov and Sinai, so that the introduction of a similar concept for quantum systems has provided the opportunity of raising meaningful questions and of proposing some non-trivial answers to them. Since in the following we shall be mainly concerned with infinite quantum systems, the algebraic approach to quantum theory will provide us with the necessary analytical tools which can be used in the commutative context, too Physics Quantum theory Thermodynamics Statistical Physics, Dynamical Systems and Complexity Quantum Information Technology, Spintronics Quantum Physics Quantentheorie Quantenchaos (DE-588)4130849-9 gnd rswk-swf Entropie (DE-588)4014894-4 gnd rswk-swf Quantenchaos (DE-588)4130849-9 s Entropie (DE-588)4014894-4 s 1\p DE-604 https://doi.org/10.1007/978-3-642-84999-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Benatti, Fabio Deterministic Chaos in Infinite Quantum Systems Physics Quantum theory Thermodynamics Statistical Physics, Dynamical Systems and Complexity Quantum Information Technology, Spintronics Quantum Physics Quantentheorie Quantenchaos (DE-588)4130849-9 gnd Entropie (DE-588)4014894-4 gnd |
| subject_GND | (DE-588)4130849-9 (DE-588)4014894-4 |
| title | Deterministic Chaos in Infinite Quantum Systems |
| title_auth | Deterministic Chaos in Infinite Quantum Systems |
| title_exact_search | Deterministic Chaos in Infinite Quantum Systems |
| title_full | Deterministic Chaos in Infinite Quantum Systems by Fabio Benatti |
| title_fullStr | Deterministic Chaos in Infinite Quantum Systems by Fabio Benatti |
| title_full_unstemmed | Deterministic Chaos in Infinite Quantum Systems by Fabio Benatti |
| title_short | Deterministic Chaos in Infinite Quantum Systems |
| title_sort | deterministic chaos in infinite quantum systems |
| topic | Physics Quantum theory Thermodynamics Statistical Physics, Dynamical Systems and Complexity Quantum Information Technology, Spintronics Quantum Physics Quantentheorie Quantenchaos (DE-588)4130849-9 gnd Entropie (DE-588)4014894-4 gnd |
| topic_facet | Physics Quantum theory Thermodynamics Statistical Physics, Dynamical Systems and Complexity Quantum Information Technology, Spintronics Quantum Physics Quantentheorie Quantenchaos Entropie |
| url | https://doi.org/10.1007/978-3-642-84999-2 |
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