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Classical and Quantum Dynamics

From Classical Paths to Path Integrals

Authors: Dittrich, Walter, Reuter, Martin

  • Highlights the principle of stationary action as common starting point of classical and quantum mechanics
  • Perfect companion for courses on path integrals, on  advanced mechanics or quantum mechanics and semiclassical methods
  • New edition showcases updates for all chapters and a new chapter with a clear and explicit account of Lie-Brackets and pseudocanonical transformations
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Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-58298-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-58297-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Graduate students who wish 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 fifth edition has been revised and enlarged to include chapters on quantum electrodynamics, in particular, Schwinger’s proper time method and the treatment of classical and quantum mechanics with Lie brackets and pseudocanonical transformations. It is shown that operator quantum electrodynamics can be equivalently described with c-numbers, as demonstrated by calculating the propagation function for an electron in a prescribed classical electromagnetic field.

About the authors

Prof. Dr. Walter Dittrich had been head of the quantum electrodynamics group at the University of Tübingen. He started his work on gauge theories and QED in collaboration with Julian Schwinger.  Walter Dittrich has worked for more than 20 years in cooperation with the Institute for Advanced Studies 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 of the University Mainz. His research focuses on particle physics, quantum field theory and quantum Einstein gravity. He worked in close collaboration with the synchrotron facility DESY and the large hadron collider collaborations at CERN. He has more than 30 years of teaching experience in theoretical physics. 

Table of contents (38 chapters)

  • Introduction

    Dittrich, Walter (et al.)

    Pages 1-2

  • The Action Principles in Mechanics

    Dittrich, Walter (et al.)

    Pages 3-16

  • The Action Principle in Classical Electrodynamics

    Dittrich, Walter (et al.)

    Pages 17-22

  • Application of the Action Principles

    Dittrich, Walter (et al.)

    Pages 23-44

  • Jacobi Fields, Conjugate Points

    Dittrich, Walter (et al.)

    Pages 45-57

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-58298-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-58297-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Classical and Quantum Dynamics
Book Subtitle
From Classical Paths to Path Integrals
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-58298-6
DOI
10.1007/978-3-319-58298-6
Hardcover ISBN
978-3-319-58297-9
Edition Number
5
Number of Pages
XVI, 489
Number of Illustrations and Tables
18 b/w illustrations
Additional Information
Springer-Verlag Berlin Heidelberg
Topics