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Theoretical physics II (Electrodynamics)


  • Introduction
    • Electrodynamics as relativistic field theory
    • Systems of units
  • Electrostatics
    • Poisson equation
    • Coulomb's law
    • Multipole expansion
    • Solution of the Laplace equation
      • Cartesian coordinates
      • Spherical coordinates
      • Cylindrical coordinates
    • 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
    • Loop current and magnetic moment
  • Relativistic formulation of electrodynamics
    • Einstein's principle of relativity and Minkowski space
    • Relativistic formulation of the Maxwell equations
    • Gauge invariance
    • Energy-momentum tensor
    • Faraday's law of induction
  • Matter in an electromagnetic field
    • Polarization and electric displacement
    • Electric susceptibility
    • Polarization and magnetization current
  • Dynamics of electromagnetic fields
    • Wave equation
    • Solution of the homogeneous wave equation
    • Energy-momentum tensor of a plane wave
    • Electromagnetic waves in media
    • Liénard-Wiechert potentials
    • Radiation field of moving charges
  • Lagrangian formulation of electrodynamics
    • Relativistic particle
    • Coupling of a charge to the 4-vector potential
    • Lagrangian density of the electromagnetic field