Physics – Classical Physics
Scientific paper
2001-05-17
Tech. Phys. 48 (2), pp.146-151, 2003
Physics
Classical Physics
6 pages, 1 figure, RevTeX4b5
Scientific paper
We develop a systematic approach to calculating the electrostatic force between point charges in an arbitrary geometry with arbitrary boundary conditions. When the boundary is present, the simple expression for the force acting on a charge as ``the charge times the field it is placed in'' becomes ill-defined. However, this rule can be salvaged if the field in question is redefined to include all the terms that do not diverge at the charge position, in particular, those due to the charge itself. The proof requires handling the self-action energy divergence for point charges, which is accomplished by means of a geometrical regularization.
Mandel Ilya
Nemenman Ilya
Silbergleit Alexander
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