Abstract
The self-energy of a given charge distribution is the energy required to assemble the distribution by bringing in the constituent charges from infinity. Particularly, for a pointlike distribution (e.g., a classical electron) the self-energy is infinity. Thus a modification of the Coulomb potential is required in order to have a finite value for this energy. Here we present a model for a charged particle consisting of a potential well together with a combination of Coulomb and Yukawa-like potentials. This leads us to finding an approximate value attributed to its self-energy. We subsequently discuss the non-relativistic electron-electron scattering problem.
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