Classical Field Theory - Scheck, Florian

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

Biographie:
Florian A. Scheck, Professor emeritus der Universit?t Mainz, studierte an der Universit?t Freiburg. Diplom in Physik 1962, Promotion in Theoretischer Physik 1964. Habilitation an der Universit?t Heidelberg 1968. Lehr- und Wanderjahre am Weizmann Institut in Rehovoth, an der Universit?t Heidelberg und am CERN in Genf. Leiter der Theoriegruppe des SIN/PSI und Titularprofessor an der ETH Z?rich. Seit 1976 Professor f?r Theoretische Physik an der Universit?t Mainz. Zahlreiche Aufenthalte als Gastwissenschaftler und Gastprofessor in Helsinki, Montpellier, Marseille, San Jos? (Costa Rica), Bogot? und anderen....

Sommaire:
Florian A. Scheck, professor emeritus at University of Mainz, Germany. Born in 1936, diploma degree 1962 , Ph.D. (Dr. rer.nat) 1964, both at U. Freiburg,?Germany. Habilitation at U. Heidelberg 1968. Guest scientist at the Weizmann Instituteof Science, Rehovoth, (1964 - 1966), research assistant U. Heidelberg, (1966?- 1968), research fellow at CERN, Geneva, (1968 - 1970), head of theory groupSIN/PSI, lecturer and titular professor at ETH Zurich (1970 - 1976). Professor of?theoretical Physics U. Mainz (1976 - 2005).?Numerous visits as guest scientist or guest professor, Helsinki, Montpellier, Marseille,?San Jos? (Costa Rica), Bogota (Columbia)....