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Titlebook: Deterministic Chaos in Infinite Quantum Systems; Fabio Benatti Book 1993 Springer-Verlag Berlin Heidelberg 1993 Entropie.Ergodentheorie.In

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發(fā)表于 2025-3-21 19:12:48 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Deterministic Chaos in Infinite Quantum Systems
編輯Fabio Benatti
視頻videohttp://file.papertrans.cn/270/269336/269336.mp4
叢書名稱Trieste Notes in Physics
圖書封面Titlebook: Deterministic Chaos in Infinite Quantum Systems;  Fabio Benatti Book 1993 Springer-Verlag Berlin Heidelberg 1993 Entropie.Ergodentheorie.In
描述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
出版日期Book 1993
關鍵詞Entropie; Ergodentheorie; Infinite Quantum System; chaos; deterministic chaos; entropy; ergodic theory; qua
版次1
doihttps://doi.org/10.1007/978-3-642-84999-2
isbn_softcover978-3-540-57017-2
isbn_ebook978-3-642-84999-2
copyrightSpringer-Verlag Berlin Heidelberg 1993
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發(fā)表于 2025-3-21 22:13:32 | 只看該作者
Connes-Narnhofer-Thirring Entropy,.-systems. What is needed is in fact a sensible definition of information gain taking into account that classical probability is not consistent with the basic postulates of the theory and that the state of a system can be altered when an observable is measured (for instance according to the scheme d
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Classical Ergodic Theory, aged thermodynamic systems are described by equilibrium distributions over their phase-spaces, the ., that is the mean values of (classical) physical observables calculated with respect to these distributions, agree with the outcomes of actual experiments devised to measure them.
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Lian-Lei Lin,Ling-Yu Li,Xin-Yi Song.-systems. What is needed is in fact a sensible definition of information gain taking into account that classical probability is not consistent with the basic postulates of the theory and that the state of a system can be altered when an observable is measured (for instance according to the scheme d
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Lian-Lei Lin,Ling-Yu Li,Xin-Yi Song.-systems. What is needed is in fact a sensible definition of information gain taking into account that classical probability is not consistent with the basic postulates of the theory and that the state of a system can be altered when an observable is measured (for instance according to the scheme depicted in Remark 4.6).
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