Classical field theory: on electrodynamics, non-abelian Gauge theories, and gravitation

The book 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 theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell theory. It includes topical subjects such as metamaterials with negative refraction index and solutions ofHelmholtz' equation in paraxial approximation relevant for the description oflaser beams.Chapter 5 describes non-Abelian gauge theories from a classical, geometric point of view, in analogy to Maxwell theory as a prototype, and culminates in anapplication 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 adiscussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity (perihelion precession of Mercury, and lightdeflection by the sun).Textbook features: detailed figures, worked examples, problems and solutions,boxed inserts, highlighted special topics, highlighted important math etc., end of chapter summaries, appendix, index. Florian ScheckUniversity MainzSuccessful author of German language textbook series (5 volumes) INDICE: Maxwell's Equations.- Symmetries and Covariance of Maxwell's Equations.- Maxwell Theory as a Classical Field Theory.- Some Applications of Maxwell Theory.- Local Gauge Theories.- Classical Field Theory of Gravitation.

• ISBN: 978-3-642-27984-3
• Editorial: Springer
• Encuadernacion: Cartoné
• Fecha Publicación: 30/04/2012
• Nº Volúmenes: 1
• Idioma: Inglés