author : Katsuhiro Nakamura

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 new light through quantum chaos. Second, adiabatic-ansatz eigenvalue problems are shown to yield a new paradigm of nonlinear 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.

This up-to-date book will be of value to researchers and graduate students studying chaos, nonlinear dynamics, quantum mechanics and solid-state science.