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Theoretical physics II (Electrodynamics)


  • Electrodynamics as relativistic field theory
    • Lagrange equations for fields
    • Lagrange formalism for a free relativistic particle
    • Coupling to the electromagnetic field
    • Electromagnetic field tensor
    • Maxwell equations
    • Gauge invariance
  • Electrostatics
    • Coulomb's law
    • Multipole expansion
    • Spherical harmonics as complete orthonormal system
    • Charge and dipole densities on surfaces
    • Method of image charges
    • General boundary value problem
    • Green functions
    • Electrostatic energy
  • Magnetostatics
    • Vector potential
    • Linear current-carrying conductor
    • Force between current-carrying conductors
    • Ring current and magnetic moment
  • Matter in an electromagnetic field
    • Polarization and electric displacement
    • Dielectric susceptibility
    • Polarization and magnetization current
  • Dynamics of electromagnetic fields
    • Faraday's law of induction
    • Energy-momentum tensor
    • Wave equation
    • Solution of the homogeneous wave equation
    • Liénard-Wiechert potentials
    • Radiation field of moving charges