Quantum Chaos: A New Paradigm of Nonlinear Dynamics

by Katsuhiro Nakamura (Editor)

Overview

Almost all the many past studies on chaos have been concerned with classical systems. This book, however, is one of the first to deal with quantum chaos, the natural progression from such classical systems. In this book the author deals with three major issues in quantum chaos. First, quantum mechanics is applied to both bounded and open systems exhibiting classical chaos. Potential problems involving quantum chaos are revealed in diverse areas of solid-state science, and standard concepts such as diamagnetism, antiferromagnetism, spin waves, electrical conductance and so on are shown in a fresh light through quantum chaos. Second, adiabatic-ansatz eigenvalue problems are shown to yield a new paradigm of non-linear dynamics, closing the gap between the greatly different theories of solitons and random matrices. Finally, the author provides a clue to how quantum mechanics may be improved so as to accommodate temporal chaos. First published in 1993, this book will be of value to researchers and graduate students in physics and mathematics studying chaos, non-linear dynamics, quantum mechanics and solid-state science.

Product Details

ISBN-13:	9780521467469
Publisher:	Cambridge University Press
Publication date:	06/02/1994
Series:	Cambridge Nonlinear Science Series , #3
Edition description:	New Edition
Pages:	224
Product dimensions:	5.98(w) x 9.02(h) x 0.51(d)

Table of Contents

Preface; 1. What are the problems; 2. Quantum billiards: from closed to open systems; 3. Quantum chaos in spin systems; 4. Nonlinear dynamics in spin-wave instabilities: chaos of macroscopic quanta; 5. Universal dynamical system behind quantum chaos: a single-parameter case; 6. Nonadiabatic generalization, field-theoretical model and future prospects; References; Index.