Classical Electrodynamics

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Lectures

  • Lecture 1. [Gauge Invariant Electrodynamics]
  • Lecture 2. [Lorentz Transformation of EM fields]
  • Lecture 3. [Equation of motion of charge particle]
  • Lecture 4. [Covariant Lorentz force]
  • Lecture 4. [Lagrangian density of free EM field]
  • Lecture 5. [Energy-momentum tensor]
  • Lecture 6. [Conservation & Noether's Theorem]
  • Lecture 5. [Rosenfeld's Gauge Invariant Energy-momentum tensor]

Numerical Problems

Remarks

  1. Watch Balki's detailed Lectures on Nonlinear Dynamics.

Topics

  • Classical Electrodynamics:
    1. Maxwell’s equations in covariant form, Electromagnetic field tensor, Lorentz transformation law for the electromagnetic fields and the fields due to a point charge in uniform motion; Field invariants; Covariance of Lorentz force equation and the equation of motion of a charged particle in an electromagnetic field; The generalised momentum; Energymomentum tensor and the conservation laws for the electromagnetic field; Relativistic Lagrangian and Hamiltonian of a charged particle in an electromagnetic field.

Study Materials

  1. Introduction to Electrodynamics - D.J.Griffiths. {Main Book (SI units)}
  2. Classical Electrodynamics - J.D.Jackson. {Main Book (CGS units)}
  3. Classical theory of fields - L.D.Landau & E.M.Lifshitz. {Must Read (CGS units)}
  4. Introduction to Advanced Electrodynamics - K.Bhattacharya & S.Mukhopadhyay. {Student friendly (CGS units)}