Regularization of the second-order partial derivatives of the Coulomb potential of a point charge

Details Regularization of the second-order partial derivatives of the Coulomb potential of a point charge Regularization of the second-order partial derivatives of the Coulomb potential of a point charge

2004-09-15

arxiv.org/abs/physics/0409072v4

Physics

Classical Physics

8 pages, no figures; an appendix is added in which the `physical'-regularization result is generalized and proved using the th

Scientific paper

The second-order partial derivatives of the Coulomb potential of a point
charge can be regularized using the Coulomb potential of a charge of the oblate
spheroidal shape that a moving rest-frame-spherical charge acquires by the
Lorentz contraction. This `physical' regularization is shown to be fully
equivalent to the standard delta-function identity involving these derivatives.

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