A Hamiltonian formulation in the electrodynamics of charged moving fluids

Abstract

By using the concept of combined field, we present a simple and symmetric Hamiltonian formulation for an infinitely conducting fluid, moving in an electromagnetic field. The definition of the combined field potentials makes it possible to replace the interaction between the electromagnetic field and charges by an interaction between two fields. Some applications are made, to prove the theory (e.g. the Hamiltonian of a point charge, Fourier representation).