Foundations of classical electrodynamics : charge, flux, and metric

Author(s)

Bibliographic Information

Foundations of classical electrodynamics : charge, flux, and metric

Friedrich W. Hehl, Yuri N. Obukhov

(Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 33)

Springer Science+Business Media, c2003

  • : pbk

Available at  / 4 libraries

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Note

Includes bibliographical references and index

"Originally published by Birkhäuser Boston in 2003"--T.p. verso

Description and Table of Contents

Description

In this book we display the fundamental structure underlying classical electro dynamics, i. e. , the phenomenological theory of electric and magnetic effects. The book can be used as a textbook for an advanced course in theoretical electrodynamics for physics and mathematics students and, perhaps, for some highly motivated electrical engineering students. We expect from our readers that they know elementary electrodynamics in the conventional (1 + 3)-dimensional form including Maxwell's equations. More over, they should be familiar with linear algebra and elementary analysis, in cluding vector analysis. Some knowledge of differential geometry would help. Our approach rests on the metric-free integral formulation of the conservation laws of electrodynamics in the tradition of F. Kottler (1922), E. Cartan (1923), and D. van Dantzig (1934), and we stress, in particular, the axiomatic point of view. In this manner we are led to an understanding of why the Maxwell equa tions have their specific form. We hope that our book can be seen in the classical tradition of the book by E. J. Post (1962) on the Formal Structure of Electro magnetics and of the chapter "Charge and Magnetic Flux" of the encyclopedia article on classical field theories by C. Truesdell and R. A. Toupin (1960), in cluding R. A. Toupin's Bressanone lectures (1965); for the exact references see the end of the introduction on page 11. .

Table of Contents

Preface * Introduction * Part A--Mathematics: Some Exterior Calculus * Why Exterior Differential Forms? * A.1. Algebra * A.2. Exterior Calculus * A.3. Integration on a Manifold * Part B--Axioms of Classical Electrodynamics * B.1. Electric Charge Conservation * B.2. Lorentz Force Density * B.3. Magnetic Flux Conservation * B.4. Basic Classical Electrodynamics Summarized, Example * B.5. Electromagnetic Energy-Momentum Current and Action* Part C--More Mathematics * C.1. Linear Connection * C.2. Metric * Part D--The Maxwell--Lorentz Spacetime Relation * D.1. A Linear Relation Between H and F * D.2. Propagation of Electromagnetic Waves: Quartic Wave Surface * D.3. First Constraint: Electric/Magnetic Reciprocity * D.4. Second Constraint: Vanishing Skewon Field and Light Cone * D.5. Extracting the Metric by an Alternative Method * D.6. Fifth Axiom: Maxwell--Lorentz Spacetime Relation * Part E--Electrodynamic in Vacuum and in Matter * E.1. Standard Maxwell--Lorentz Theory in a Vacuum * E.2. Electrodynamic Spacetime Relations Beyond Locality and Linearity * E.3. Electrodynamics in Matter, Constitutive Law * Electrodynamics of Moving Continua * Outlook * References * Author Index * Subject Index

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Details

  • NCID
    BB18638588
  • ISBN
    • 9781461265900
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xiv, 410 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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