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Quantum versus Chaos

Questions Emerging from Mesoscopic Cosmos

  • Book
  • © 2002

Overview

Authors:
  1. Katsuhiro Nakamura

    1. Faculty of Engineering, Osaka City University, Osaka, Japan

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 87)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-x
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  2. Genesis of Chaos and Breakdown of Quantization of Adiabatic Invariants

    Pages 1-14

  3. Semiclassical Quantization of Chaos: Trace Formula

    Pages 15-30

  4. Pseudo-Chaos Without Classical Counterpart in One-Dimensional Quantum Transport

    Pages 31-44

  5. Chaos and Quantum Transport in Open Magnetic Billiards: from Stadium to Sinai Billiards

    Pages 45-78

  6. Chaotic Scattering on Hyperbolic Billiards: Success of Semiclassical Theory

    Pages 79-101

  7. Nonadiabaticity-Induced Quantum Chaos

    Pages 102-126

  8. Level Dynamics and Statistical Mechanics

    Pages 127-161

  9. Towards Time-Discrete Quantum Mechanics

    Pages 162-197

  10. Conclusions and Prospects

    Pages 198-208

  11. Back Matter

    Pages 209-214
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Keywords

About this book

Quantum and chaos, key concepts in contemporary science, are incompatible by nature. This volume presents an investigation into quantum transport in mesoscopic or nanoscale systems which are classically chaotic and shows the success and failure of quantal, semiclassical, and random matrix theories in dealing with questions emerging from the mesoscopic cosmos. These traditional theories are critically analysed, and this leads to a new direction. To reconcile quantum with chaos and to restore genuine temporal chaos in quantum systems, a time-discrete variant of quantum dynamics is proposed.
Audience:This book will be of interest to graduate students and researchers in physics, chemistry and mathematics, whose work involves fundamental questions of quantum mechanics in chaotic systems.

Authors and Affiliations

  • Faculty of Engineering, Osaka City University, Osaka, Japan

    Katsuhiro Nakamura

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