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The Mathematical Aspects of Quantum Maps

  • Mirko Degli Esposti
  • Sandro Graffi

Part of the Lecture Notes in Physics book series (LNP, volume 618)

Table of contents

  1. Front Matter
    Pages I-X
  2. Andreas Knauf
    Pages 1-24
  3. Andreas Knauf
    Pages 25-47
  4. Mirko Degli Esposti, Sandro Graffi
    Pages 49-90

About these proceedings

Introduction

Quantum maps are presented with special emphasis on their physical origin. They represent a testing ground for understanding concepts in quantized chaotic systems. The book develops and teaches the modern mathematical methods from analytic and algebraic number theory as applied to quantum maps. It gives a broad and in-depth overview of the mathematical problems arising in this area. Also treated are the numerical aspects in quantum chaos such as eigenvalue and eigenfunctions computations for chaotic quantum systems. The book addresses scientists and advanced students in mathematics and mathematical physics.

Keywords

Dynamical Systems Ergodicity Geometric Quantization Quantum Map algebra mathematical physics number theory quantum chaos

Editors and affiliations

  • Mirko Degli Esposti
    • 1
  • Sandro Graffi
    • 1
  1. 1.Dipartimento di MatematicaUniversità di BolognaBolognaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-37045-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-02623-5
  • Online ISBN 978-3-540-37045-1
  • Series Print ISSN 0075-8450
  • Buy this book on publisher's site
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