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Classical and Quantum Dynamics

from Classical Paths to Path Integrals

  • Textbook
  • © 1994

Overview

Authors:
  1. Walter Dittrich

    1. Institut für Theoretische Physik, Universität Tübingen, Tübingen, Germany

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  2. Martin Reuter

    1. Deutsches Elektronen-Synchrotron DESY, Hamburg, Germany

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (32 chapters)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. Introduction

    • Walter Dittrich, Martin Reuter
    Pages 1-2

  3. The Action Principles in Mechanics

    • Walter Dittrich, Martin Reuter
    Pages 3-14

  4. Application of the Action Principles

    • Walter Dittrich, Martin Reuter
    Pages 15-33

  5. Jacobi Fields, Conjugate Points

    • Walter Dittrich, Martin Reuter
    Pages 35-45

  6. Canonical Transformations

    • Walter Dittrich, Martin Reuter
    Pages 47-60

  7. The Hamilton-Jacobi Equation

    • Walter Dittrich, Martin Reuter
    Pages 61-73

  8. Action-Angle Variables

    • Walter Dittrich, Martin Reuter
    Pages 75-96

  9. The Adiabatic Invariance of the Action Variables

    • Walter Dittrich, Martin Reuter
    Pages 97-107

  10. Time-Independent Canonical Perturbation Theory

    • Walter Dittrich, Martin Reuter
    Pages 109-115

  11. Canonical Perturbation Theory with Several Degrees of Freedom

    • Walter Dittrich, Martin Reuter
    Pages 117-129

  12. Canonical Adiabatic Theory

    • Walter Dittrich, Martin Reuter
    Pages 131-136

  13. Removal of Resonances

    • Walter Dittrich, Martin Reuter
    Pages 137-145

  14. Superconvergent Perturbation Theory, KAM Theorem (Introduction)

    • Walter Dittrich, Martin Reuter
    Pages 147-154

  15. Poincaré Surface of Sections, Mappings

    • Walter Dittrich, Martin Reuter
    Pages 155-163

  16. The KAM Theorem

    • Walter Dittrich, Martin Reuter
    Pages 165-171

  17. Fundamental Principles of Quantum Mechanics

    • Walter Dittrich, Martin Reuter
    Pages 173-177

  18. Examples for Calculating Path Integrals

    • Walter Dittrich, Martin Reuter
    Pages 179-198

  19. Direct Evaluation of Path Integrals

    • Walter Dittrich, Martin Reuter
    Pages 199-208

  20. Linear Oscillator with Time-Dependent Frequency

    • Walter Dittrich, Martin Reuter
    Pages 209-223
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About this book

Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, together with many worked examples throughout the text. This second edition has been enlarged by a new chapter on topological phases in planar electrodynamics and a discussion of the Aharonov-Bohm effect.

Authors and Affiliations

  • Institut für Theoretische Physik, Universität Tübingen, Tübingen, Germany

    Walter Dittrich

  • Deutsches Elektronen-Synchrotron DESY, Hamburg, Germany

    Martin Reuter

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