Quantum Chaos

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.