Distributions in spherical coordinates with applications to classical electrodynamics

  title={Distributions in spherical coordinates with applications to classical electrodynamics},
  author={Andr{\'e} Gsponer},
  • André Gsponer
  • Published 2004
  • Physics, Mathematics
  • A general and rigorous method to deal with singularities at the origin of a polar coordinate system is presented. Its power derives from a clear distinction between the radial distance and the radial coordinate variable, which makes that all delta functions and their derivatives are automatically generated, and ensures that the Gauss theorem is correct for any distribution with a finite number of isolated point-like singularities. The method is applied to the Coulomb field and to show the… CONTINUE READING

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