Overview
- Perfect companion for courses on path integrals, advanced mechanics and quantum mechanics as well as semi-classical methods and non-linear dynamics
- Highlights the principle of stationary action as common starting point of classical and quantum mechanics
- Includes an introduction to Riemann's (Einstein's) ideas on space and time and their philosophical implications
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Table of contents (43 chapters)
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Front Matter
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
About this book
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.
Authors and Affiliations
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
Book Title: Classical and Quantum Dynamics
Book Subtitle: From Classical Paths to Path Integrals
Authors: Walter Dittrich, Martin Reuter
DOI: https://doi.org/10.1007/978-3-030-36786-2
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-36785-5Published: 07 February 2020
Softcover ISBN: 978-3-030-36788-6Published: 07 February 2021
eBook ISBN: 978-3-030-36786-2Published: 06 February 2020
Edition Number: 6
Number of Pages: X, 563
Number of Illustrations: 307 b/w illustrations
Additional Information: Springer-Verlag Berlin Heidelberg
Topics: Quantum Physics, Classical and Continuum Physics, Mathematical Applications in the Physical Sciences, Particle and Nuclear Physics, Statistical Physics and Dynamical Systems