Regularizations of point charges, the Li\'enard-Wiechert potential, and the electron self-energy
Abstract
We apply Colombeau-type regularization to the electromagnetic field of a point-charge and show how the Li\'enard-Wiechert potential can be derived from a generalized function based on the geometry of Minkowski space. Furthermore, for a charged particle in its rest frame, we discuss the electric monopole, magnetic dipole, electron singularity, and self-energy.
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