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arXiv physics/0409072physics.class-phphysics.gen-ph
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Regularization of the second-order partial derivatives of the Coulomb potential of a point charge

V. Hnizdo

英文摘要:

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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