Classical ElectrodynamicsThis is an elementary introduction to the modern approach to classical electrodynamics using the language of differential forms, which will familiarize the reader with the modern mathematical methods used in electromagnetism. The book is self-contained and provides problems with solutions for self-education and teaching. Primarily a textbook for undergraduate students, it will also be useful for higher level students and research workers interested in modern methods of physics. |
Contents
GEOMETRIC NOTIONS | 1 |
Maxwells equations in differential form | 9 |
Variational principles | 21 |
Copyright | |
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Common terms and phrases
A₁ arbitrary assumed axis called Cartesian class C¹ coefficients components conductor constant coordinate system covariant covector curl current density curve d³x defined denotes depend described differential form dipole dx¹ dx² dx³ E₁ electric field electrodynamics electromagnetic field electromagnetic waves energy equality exterior Faß field intensity field vectors follows four-current four-vector function ƒ ƒ ƒ Gaß grad Green function h₁ h₂ homogeneous hypersurface induction inertial reference system integral linear Lorentz transformations magnetic field material equations Maxwell's equations medium metric tensor Minkowski Minkowski space motion notation obtain orientation Poincaré transformations Poisson equation potential propagation quantities radiation region relativistic respect satisfying scalar product solutions space space-time surface tangent tensor theorem theory V₁ vanishes vector field velocity world line zero Απε ΘΩ μο дф მი