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

V. Hnizdo

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

V. Hnizdo

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Abstract

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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V. Hnizdo. 2006-03-07. Regularization of the second-order partial derivatives of the Coulomb potential of a point charge. https://arxiv.org/abs/physics/0409072

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