Derivation of the self-interaction force on an arbitrarily moving point-charge and of its related energy-momentum radiation rate : The Lorentz-Dirac equation of motion in a Colombeau algebra

@inproceedings{Gsponer2008DerivationOT,
  title={Derivation of the self-interaction force on an arbitrarily moving point-charge and of its related energy-momentum radiation rate : The Lorentz-Dirac equation of motion in a Colombeau algebra},
  author={Andr{\'e} Gsponer},
  year={2008}
}
The classical theory of radiating point-charges is revisit ed: the retarded potentials, fields, and currents are defined as nonlinear gen eralized functions. All calculations are made in a Colombeau algebra, and the spinor representations provided by the biquaternion formulation of classical electrodynamics are used to make all four-dimensional integrat… CONTINUE READING