The classical point electron in Colombeau’s theory of nonlinear generalized functions

@article{Gsponer2008TheCP,
  title={The classical point electron in Colombeau’s theory of nonlinear generalized functions},
  author={Andr{\'e} Gsponer},
  journal={Journal of Mathematical Physics},
  year={2008},
  volume={49},
  pages={102901}
}
  • A. Gsponer
  • Published 30 June 2008
  • Physics
  • Journal of Mathematical Physics
The electric and magnetic fields of a pole-dipole singularity attributed to a point-electron singularity in the Maxwell field are expressed in a Colombeau algebra of generalized functions. This enables one to calculate dynamical quantities quadratic in the fields which are otherwise mathematically ill-defined: the self-energy (i.e., “mass”), the self-angular momentum (i.e., “spin”), the self-momentum (i.e., “hidden momentum”), and the self-force. While the total self-force and self-momentum are… 

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