dorsal/arxiv
View SchemaRegularization of the second-order partial derivatives of the Coulomb potential of a point charge
| Authors | V. Hnizdo |
|---|---|
| Categories | |
| ArXiv ID | physics/0409072 |
| URL | https://arxiv.org/abs/physics/0409072 |
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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"abstract": "The second-order partial derivatives of the Coulomb potential of a point\ncharge can be regularized using the Coulomb potential of a charge of the oblate\nspheroidal shape that a moving rest-frame-spherical charge acquires by the\nLorentz contraction. This `physical\u0027 regularization is shown to be fully\nequivalent to the standard delta-function identity involving these derivatives.",
"arxiv_id": "physics/0409072",
"authors": [
"V. Hnizdo"
],
"categories": [
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"title": "Regularization of the second-order partial derivatives of the Coulomb potential of a point charge",
"url": "https://arxiv.org/abs/physics/0409072"
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