Physics – Classical Physics
Scientific paper
2010-09-13
Eur. J. Phys. 32, 287-297 (2011)
Physics
Classical Physics
12 pages; as accepted for publication by European Journal of Physics
Scientific paper
The generalized second-order partial derivatives of 1/r, where r is the radial distance in 3D, are obtained using a result of the potential theory of classical analysis. Some non-spherical regularization alternatives to the standard spherical-regularization expression for the derivatives are derived. The utility of a spheroidal-regularization expression is illustrated on an example from classical electrodynamics.
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