Classical and Quantum Dynamics

from Classical Paths to Path Integrals

  • Walter Dittrich
  • Martin Reuter

Table of contents

  1. Front Matter
    Pages i-vii
  2. Walter Dittrich, Martin Reuter
    Pages 1-2
  3. Walter Dittrich, Martin Reuter
    Pages 3-14
  4. Walter Dittrich, Martin Reuter
    Pages 15-33
  5. Walter Dittrich, Martin Reuter
    Pages 35-45
  6. Walter Dittrich, Martin Reuter
    Pages 47-60
  7. Walter Dittrich, Martin Reuter
    Pages 61-73
  8. Walter Dittrich, Martin Reuter
    Pages 75-96
  9. Walter Dittrich, Martin Reuter
    Pages 97-107
  10. Walter Dittrich, Martin Reuter
    Pages 109-115
  11. Walter Dittrich, Martin Reuter
    Pages 117-129
  12. Walter Dittrich, Martin Reuter
    Pages 131-136
  13. Walter Dittrich, Martin Reuter
    Pages 137-145
  14. Walter Dittrich, Martin Reuter
    Pages 147-154
  15. Walter Dittrich, Martin Reuter
    Pages 155-163
  16. Walter Dittrich, Martin Reuter
    Pages 165-171
  17. Walter Dittrich, Martin Reuter
    Pages 173-177
  18. Walter Dittrich, Martin Reuter
    Pages 179-198
  19. Walter Dittrich, Martin Reuter
    Pages 199-208
  20. Walter Dittrich, Martin Reuter
    Pages 209-223

About this book

Introduction

In the past 10 to 15 years, the quantum leap in understanding of nonlinear dynamics has radically changed the frame of reference of physicists contemplating such systems. This book treats classical and quantum mechanics using an approach as introduced by nonlinear Hamiltonian dynamics and path integral methods. It is written for graduate students who want to become familiar with the more advancedcomputational strategies in classical and quantum dynamics. Therefore, worked examples comprise a large part of the text. While the first half of the book lays the groundwork for a standard course, the second half, with its detailed treatment of the time-dependent oscillator, classical and quantum Chern-Simons mechanics, the Maslov anomaly and the Berry phase, willacquaint the reader with modern topological methods that have not as yet found their way into the textbook literature.

Keywords

Pfadintegrale Quantenmechanik classical mechanics dynamics halbklassische Quantisierung klassische Mechanik mechanics nichtlineare Hamiltondynamik nonlinear Hamiltonian dynamics path integral path integrals perturbation theory quantum dynamics quantum mechanics semiclassical quantization

Authors and affiliations

  • Walter Dittrich
    • 1
  • Martin Reuter
    • 2
  1. 1.Institut für Theoretische PhysikUniversität TübingenTübingenFed. Rep. of Germany
  2. 2.Institut für Theoretische PhysikUniversität HannoverHannover 1Fed. Rep. of Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-97921-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-51992-8
  • Online ISBN 978-3-642-97921-7
  • About this book
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