Quantum Chaos: A New Paradigm of Nonlinear Dynamics (Cambridge Nonlinear Science)

by Katsuhiro Nakamura

Katsuhiro Nakamura (Editor)

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Book cover for Quantum Chaos

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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.
  • ISBN13 9780521392495
  • Publish Date 7 January 1993
  • Publish Status Inactive
  • Out of Print 26 February 2009
  • Publish Country GB
  • Imprint Cambridge University Press
  • Format Hardcover
  • Pages 220
  • Language English