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Classical and Quantum Dynamics

From Classical Paths to Path Integrals

  • Textbook
  • © 2016

Overview

  • Highlights the principle of stationary action as common starting point of classical and quantum mechanics
  • Contains numerous detailed examples
  • Includes new chapters on quantum electrodynamics, high energy physics, Green’s functions and strong interaction

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

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Table of contents (38 chapters)

Keywords

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, to name a few. Well-chosen and detailed examples illustrate the perturbation theory, canonical transformations, the action principle and demonstrate the usage of path integrals.
This new edition has been revised and enlarged with chapters on quantum electrodynamics, high energy physics, Green’s functions and strong interaction.
"This book is a brilliant exposition of dynamical systems covering the essential aspects and written in an elegant manner. The book is written in modern language of mathematics and will ideally cater to the requirements of graduate and first year Ph.D. students...a wonderful introduction to any student who wants to do research in any branch of theoretical Physics." (Indian Journal of Physics)

Reviews

“This is the fourth edition of a highly successful pedagogical book that combines classical and quantum dynamics, often viewed as disjoint subjects. … Its elementary exposition makes the book accessible to graduate students.” (Gert Roepstorff, zbMATH 1330.81001, 2016)

Authors and Affiliations

  • Institute of Theoretical Physics, University of Tübingen, Tübingen, Germany

    Walter Dittrich

  • Institute of Physics, University of Mainz, Mainz, Germany

    Martin Reuter

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. 

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