FISI-4430 Electrodynamics I

Coulomb and Gauss’s Laws. Electric potential. Green’s functions. Solution to Laplace equations in different geometries. Special related functions. Maxwell’s equations in free space. Electromagnetic potentials. Pointing Vector. Gauge transformations. Green’s functions of wave equations and solutions to delayed potentials. Quadrivectors. Tensors. Lorentz’s Transformations and covariant formulation of electrodynamics. Covariant Green’s functions. Radiation of a moving particle. Lienard-Wiechert Potential. Larmor’s formula and relativist generalization. Radiation distribution and spectrum. Syncotron radiation. Thompson’s dispersion.