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Quantum Chaos : A New Paradigm of Nonlinear Dynamics - Katsuhiro Nakamura

Quantum Chaos

A New Paradigm of Nonlinear Dynamics

By: Katsuhiro Nakamura (Editor)

Paperback Published: 1st August 1994
ISBN: 9780521467469
Number Of Pages: 224

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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.

What are the problems
Quantum billiards: from closed to open systems
Quantum chaos in spin systems
Nonlinear dynamics in spin-wave instabilities: chaos of macroscopic quanta
Universal dynamical system behind quantum chaos: a single-parameter case
Nonadiabatic generalization, field-theoretical model and future prospects
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521467469
ISBN-10: 0521467462
Series: Cambridge Nonlinear Science Series
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 224
Published: 1st August 1994
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.7 x 15.2  x 1.4
Weight (kg): 0.33

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