| 书目名称 | Deterministic Chaos in Infinite Quantum Systems | | 编辑 | Fabio Benatti | | 视频video | http://file.papertrans.cn/270/269336/269336.mp4 | | 丛书名称 | Trieste Notes in Physics | | 图书封面 |  | | 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 | | 关键词 | Entropie; Ergodentheorie; Infinite Quantum System; chaos; deterministic chaos; entropy; ergodic theory; qua | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-84999-2 | | isbn_softcover | 978-3-540-57017-2 | | isbn_ebook | 978-3-642-84999-2 | | copyright | Springer-Verlag Berlin Heidelberg 1993 |
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