Maxwell s Equations from the Generalized Euler-Lagrange Equation

Abstract

In this work the generalized Euler-Lagrangian is utilized to find Maxwell’s equations. It is found that Maxwell’s equations can be derived from a new Lagrangian which is different from that of the ordinary Euler- Lagrangian. It is also found that the Hamiltonian of this new Lagrangian is different from that of the ordinary one.