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Classical Field Theory - Florian Scheck

Classical Field Theory

On Electrodynamics, Non-Abelian Gauge Theories and Gravitation

(Autor)

Buch | Softcover
XII, 436 Seiten
2014 | 2012
Springer Berlin (Verlag)
978-3-642-43128-9 (ISBN)
CHF 89,95 inkl. MwSt
This review of classical field theory describes Maxwell's equations in their integral, directly testable form, and moves on to their local formulation. Includes detailed figures, worked examples, problems and solutions, highlighted special topics and more.

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 a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity (perihelion precession of Mercury, and light deflection by the sun).

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Textbook features: detailed figures, worked examples, problems and solutions, boxed inserts, highlighted special topics, highlighted important math etc., helpful summaries, appendix, index.

Florian Scheck University Mainz Successful author of German language textbook series (5 volumes)

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.

Erscheint lt. Verlag 11.6.2014
Reihe/Serie Graduate Texts in Physics
Zusatzinfo XII, 436 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 682 g
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Relativitätstheorie
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte General relativity • Maxwell Theory • non-Abelian gauge theories • Riemann Geometry • rnetamaterials with negative refraction index • Textbook Classical Field Theory • textbook electrodynamics • Textbook Field Theory • textbook Gauge Theory • textbook Gravitation
ISBN-10 3-642-43128-3 / 3642431283
ISBN-13 978-3-642-43128-9 / 9783642431289
Zustand Neuware
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