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Classical and Quantum Dynamics

From Classical Paths to Path Integrals

Textbook
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Table of contents

  1. Front Matter
    Pages i-x
  2. Walter Dittrich, Martin Reuter
    Pages 1-2
  3. Walter Dittrich, Martin Reuter
    Pages 3-16
  4. Walter Dittrich, Martin Reuter
    Pages 17-22
  5. Walter Dittrich, Martin Reuter
    Pages 23-44
  6. Walter Dittrich, Martin Reuter
    Pages 45-57
  7. Walter Dittrich, Martin Reuter
    Pages 59-74
  8. Walter Dittrich, Martin Reuter
    Pages 75-92
  9. Walter Dittrich, Martin Reuter
    Pages 93-117
  10. Walter Dittrich, Martin Reuter
    Pages 119-131
  11. Walter Dittrich, Martin Reuter
    Pages 133-140
  12. Walter Dittrich, Martin Reuter
    Pages 141-156
  13. Walter Dittrich, Martin Reuter
    Pages 157-163
  14. Walter Dittrich, Martin Reuter
    Pages 165-174
  15. Walter Dittrich, Martin Reuter
    Pages 175-183
  16. Walter Dittrich, Martin Reuter
    Pages 185-195
  17. Walter Dittrich, Martin Reuter
    Pages 197-204
  18. Walter Dittrich, Martin Reuter
    Pages 205-209
  19. Walter Dittrich, Martin Reuter
    Pages 211-222
  20. Walter Dittrich, Martin Reuter
    Pages 223-245

About this book

Introduction

Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book 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, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals.

 

The sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger’s source theory treatment of the low-energy π-ρ-N physics and general relativity, where Riemann’s (Einstein’s) ideas on space and time and their philosophical implications are discussed.  


Keywords

Action Angle Variable Adiabatic Invariance Physics Berry's Phase Canonical Perturbation Theory Hamilton Jacobi Equation Introduction to Classical and Quantum Field Theory Path Integral Physics Schwinger Action Principle Textbook Classical Dynamics Textbook Quantum Dynamics Textbook Quantum Mechanics Topology Quantum Mechanics Lie Brackets

Authors and affiliations

  1. 1.Institute of Theoretical PhysicsUniversity of TübingenTübingenGermany
  2. 2.Institute of PhysicsJohannes Gutenberg UniversityMainzGermany

About the authors

Prof. Dr. Walter Dittrich was head of the quantum electrodynamics group at Tübingen University. His main research activities centered on gauge theories, in particular, on QED, stimulated in part by collaboration with Julian Schwinger. Walter Dittrich has worked for more than 20 years at centers like MIT, the Institute for Advanced Study at Princeton and the National Accelerator Laboratory at Stanford (SLAC). He has over 30 years of teaching experience and is one of the key scientists in developing the theoretical framework of quantum electrodynamics.

 

Prof. Dr. Martin Reuter is head of the quantum Einstein gravity group at the Institute for High Energy Physics at Mainz University. His research focuses on particle physics, quantum field theory and quantum Einstein gravity. He worked at the synchrotron facility DESY and the large hadron collider at CERN. He has more than 30 years of teaching experience in theoretical physics.

Bibliographic information

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