• Corpus ID: 118238781

# On the Laplacian of 1/r

```@article{Redi2013OnTL,
title={On the Laplacian of 1/r},
author={D V Red{\vz}i{\'c}},
journal={arXiv: General Physics},
year={2013}
}```
• D. Redžić
• Published 8 March 2013
• Mathematics
• arXiv: General Physics
A novel definition of the Laplacian of 1/r is presented, suitable for advanced undergraduates.
4 Citations

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The generalized second-order partial derivatives of 1/r, where r is the radial distance in three dimensions (3D), are obtained using a result of the potential theory of classical analysis. Some

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Two novel identities arising from the second‐ and thirdorder derivatives of the reciprocal radial distance and involving delta functions are introduced, proven, and illustrated. A general procedure

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In calculations involving the divergence, curl, or Laplacian operators in spherical polar coordinates, the radial delta function contributions are sometimes inadvertently lost. This loss can be

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The electric and magnetic fields of an infinite straight wire carrying a steady current which is turned on abruptly are determined using Jefimenko's equations, starting from the standard assumption

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### The operator ? in orthogonal curvilinear coordinates

It is possible to define a single expression for the operator ? in orthogonal curvilinear coordinates that can fit all common differential operators and vectorial identities.

### On the Laplacian of 1/r

It is pointed out that the distinction between `standard' and `non-standard' representations of the radial delta function (r) emphasized by Menon in a recent paper on the solving of the radial