On completion of the course the student shall be able to:
interpret the deeper meaning of the Maxwellian field equations and account for their symmetry and transformation properties, domain of validity, and limitations
formulate and solve electromagnetic problems with the help of electrodynamic potentials and superpotentials, and make a detailed account for gauge transformations and their use
master the technique of deriving and evaluating formulae for the electromagnetic fields from very general charge and current distributions
calculate the electromagnetic radiation from radiating systems (aerials, localised charge and current distributions) at rest
calculate the electromagnetic radiation from localised charges which move arbitrarily in time and space, taking into account retardation effects. Account for the underlying approximations and assumptions
formulate and solve electrodynamic problems in relativistically covariant form in four-dimensional space-time
formulate self-consistent models for the interaction between matter and electromagnetic fields in relativistically covariant Lagrange and Hamilton formalism
be familiar with some elementary phenomena and concepts in quantum electrodynamics
Maxwell's equations. Energy and momentum formula in Maxwell's theory. Maxwell's stress tensor, radiation pressure. Telegraph equation. EM waves in vacuum and in media. Phase and group velocity, dispersion. The inhomogeneous wave equation. Gauge transformations, gauge invariance. Retarded potentials. Fields from random distributions of currents and charges. Super potentials. Electric and magnetic multipole radiation. Relativistic kinematics. Covariant formulation of electrodynamics. Liénard-Wiechert's potentials. Fields from a charged particle at random motion. Brehmsstrahlung, cyclotron and synchrotron radiation. Coherence and incoherence. Vavilov-Cerenkov radiation. Virtual photons. Radiation attenuation. Scattering from an individual charged particle. Absorption of radiation in an oscillator. Rayleigh scattering. Dispersion relations. Relativistic Lagrange and Hamilton formalism for charged particles in a field. Lagrange and Hamilton covariant equations for classical EM fields and interaction with charged particles. Periodic solutions in a box. Plane wave representation.
Lectures, lessons and demonstration of computer simulations, project.
Written examination at the end of the course. Project. Passed assignments may give bonus in the exam.