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Electrodynamics via Special Relativity and Quantum Mechanics

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An investigation to unify methodologies and laws of various branches of physics leads to deduce electrodynamics laws contained in Lorentz-Maxwell equations in the context of special relativity. Starting from an application of the Dirac quantum conditions. One could identify a minimum substitution which upgrades the kinetic momentum into a general one for a particle moving in a velocity dependent external potential field. This substitution introduces a vector potential A which together with a velocity independent potential governs the dynamics of the particle through a combined interaction with both fields resulting in a Lorentz ponderomotive force law and gauge invariant potential fields. Implementation of variational principle on combined action integrals belonging to the fields and its interaction with the particle leads to source dependent field equations requations required to reproduce the complete set of Max-well equations. As a byproduct, one could describe fictional forces observed in non inertia' system of references as a manifestation of a general Lorentz force arising from minimal substitution; the resulting vector and scalar potential could account for the fictional Coriolis and centrifugal forces.
Key-words: Electrodynamics, special relativity, quantum mechanics
Muslim dan Zahara M.