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Nonlinear Dynamics and Quantum Chaos

An Introduction

  • Sandro¬†Wimberger

Part of the Graduate Texts in Physics book series (GTP)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Sandro Wimberger
    Pages 1-7
  3. Sandro Wimberger
    Pages 9-19
  4. Sandro Wimberger
    Pages 21-102
  5. Sandro Wimberger
    Pages 103-202
  6. Back Matter
    Pages 203-206

About this book

Introduction

The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.

Keywords

EKB Quantization Gutzwiller's Trace Formula Hamilton-Jacobi Theory KAM Theorem Kolmogorov-Sinai Entropy Liouville's Theorem Lyapunov Exponent Nonlinear Dynamical Systems Poincare-Birkhoff Theorem Quantum Systems WKBJ Approximation Weyl Transform

Authors and affiliations

  • Sandro¬†Wimberger
    • 1
  1. 1.Dipartimento di Fisica e Science della TerraUniversità di ParmaParmaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-06343-0
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-06342-3
  • Online ISBN 978-3-319-06343-0
  • Series Print ISSN 1868-4513
  • Series Online ISSN 1868-4521
  • Buy this book on publisher's site
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