Classical Field Theory : On Electrodynamics, Non-Abelian Gauge Theories and Gravitation. 1st ed. 2012

種類:

電子ブック

責任表示:

by Florian Scheck

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012

著者名:

• Scheck, Florian.
• SpringerLink (Online service)

シリーズ名:

Graduate Texts in Physics ;

ISBN:

9783642279850 [3642279856]    

注記:

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.
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 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 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

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