Deterministic Chaos in Infinite Quantum Systems.

Benatti, Fabio:

ISBN 10: 0387570179 / ISBN 13: 9780387570174

Published by Berlin, Heidelberg, New York usw.: Springer-Verlag, 1993

About this Item

VI, 225 Seiten, Format 15,4 x 23,4 cm, originalkartonierter u. mattkaschierter Einband (Trieste Notes in Physics). * Zweite ISBN: 3-540-57017-9. Literaturverzeichnis auf den Seiten 223-225. Erhaltung: An der unteren Schnittkante gestempelt (M im Kreis = Mangel-Exemplar). Ein Mangel ist aber nicht zu sehen. Auch sonst keine weiteren Mängel und insgesamt ein sehr gutes Exemplar [Eine größere Sammlung Physik, Mathematik, Astronomie und verwandte Gebiete wird derzeit in den Bestand eingearbeitet. Sie finden diese Titel bei uns in den gleichnamigen Rubriken]. Sprache: Englisch.

Seller Inventory # 28841

Bibliographic Details

• Title: Deterministic Chaos in Infinite Quantum Systems.
• Publisher: Berlin, Heidelberg, New York usw.: Springer-Verlag
• Publication Date: 1993
• ISBN 10: 0387570179
• ISBN 13: 9780387570174
• Edition: 1st Edition
• Seller catalogs:
  • Physik

About this title

Synopsis

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.