Title Deterministic Chaos in Infinite Quantum Systems Author(s) Benatti, Fabio Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 1993. Description VI, 225 p : online resource Abstract Note 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 ISBN,Price 9783642849992 Keyword(s) 1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. Dynamical Systems and Ergodic Theory 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. Elementary particles (Physics) 8. Elementary Particles, Quantum Field Theory 9. ERGODIC THEORY 10. QUANTUM COMPUTERS 11. QUANTUM FIELD THEORY 12. Quantum Information Technology, Spintronics 13. QUANTUM PHYSICS 14. SPINTRONICS 15. STATISTICAL PHYSICS 16. THERMODYNAMICS Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I04072     On Shelf