Overview
- Presents a unique combination of the most relevant field theories in one textbook: Electrodynamics, Gauge Theory and Gravitation
- Provides mathematical background material, making this textbook self-contained
- Contains detailed discussions for each theory and emphasizes analogies, giving a clear overview of relation between topics
- New concept behind this edition: fast track for master students plus intensive track for in depth studies
- New chapters on gravitational waves and relativity theory
Part of the book series: Graduate Texts in Physics (GTP)
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Table of contents (6 chapters)
Keywords
About this book
Scheck’s successful textbook presents a comprehensive treatment, ideally suited for a one-semester course. The textbook describes Maxwell's equations first in their integral, directly testable form, then moves on to their local formulation. The first two chapters cover all essential properties of Maxwell's equations, including their symmetries and their covariance in a modern notation. Chapter 3 is devoted to Maxwell's theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell's theory. It includes topical subjects such as metamaterials with negative refraction index and solutions of Helmholtz' equation in paraxial approximation relevant for the description of laser beams.
Chapter 5 describes non-Abelian gauge theories from a classical, geometric point of view, in analogy to Maxwell's theory as a prototype, and culminates in an application to the U(2) theory relevant for electroweak interactions. The last chapter 6 gives a concise summary of semi-Riemannian geometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity.
The new concept of this edition presents the content divided into two tracks: the fast track for master's students, providing the essentials, and the intensive track for all wanting to get in depth knowledge of the field.
Cleary labeled material and sections guide students through the preferred level of treatment. Numerous problems and worked examples will provide successful access to Classical Field Theory.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Classical Field Theory
Book Subtitle: On Electrodynamics, Non-Abelian Gauge Theories and Gravitation
Authors: Florian Scheck
Series Title: Graduate Texts in Physics
DOI: https://doi.org/10.1007/978-3-662-55579-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 2018
Hardcover ISBN: 978-3-662-55577-4Published: 19 March 2018
Softcover ISBN: 978-3-662-58561-0Published: 30 January 2019
eBook ISBN: 978-3-662-55579-8Published: 09 March 2018
Series ISSN: 1868-4513
Series E-ISSN: 1868-4521
Edition Number: 2
Number of Pages: XV, 464
Number of Illustrations: 62 b/w illustrations, 1 illustrations in colour
Topics: Classical Electrodynamics, Classical and Quantum Gravitation, Relativity Theory
Industry Sectors: Aerospace, IT & Software