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A semiclassical extended electron model

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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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Authors and Affiliations

  1. Univ de Concepción, Departamento de Física, Concepcion, Chile

    J. F. Diaz-Valdes

  2. Univ Los Andes, Fac Ingn & Ciencias Aplicadas, Complex Syst Grp, Santiago, Chile

    S. A. Bruce

Authors
  1. J. F. Diaz-Valdes
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  2. S. A. Bruce
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Correspondence to J. F. Diaz-Valdes.

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Diaz-Valdes, J.F., Bruce, S.A. A semiclassical extended electron model. Eur. Phys. J. Plus 132, 138 (2017). https://doi.org/10.1140/epjp/i2017-11412-2

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  • DOI: https://doi.org/10.1140/epjp/i2017-11412-2

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