Module 2: Relativity and Electrodynamics
Lecture 11: Lagrangian formulation of relativistic ED
2. Field-field interaction and Maxwell's equations (contd..)
Maxwell's equations !
  • Using

and getting rid of the total derivative term, one gets
  • The minimization of action, gives
(7)

This becomes the Maxwell's equation

  
(8)

with the identification

  
(9)