A New Formulation of Electrodynamics

Abstract

A new formulation of electromagnetism based on linear differential commutator brackets is developed. Maxwell equations are derived, using these commutator brackets, from the vector potential $\vec{A}$, the scalar potential $\varphi$ and the Lorentz gauge connecting them. With the same formalism, the continuity equation is written in terms of these new differential commutator brackets. Keywords: Mathematical formulation, Maxwell's equations

11 Latex pages, no figures

References in corpus (1)

• On the generalized continuity equation

Cited by in corpus (3)

• A New Formulation of Quantum Mechanics
• Symmetry of Differential Equations and Quantum Theory
• Post-Galilean transformations of space and time derivatives and their consequences