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arXiv · 0708.2174

A geometric analysis of the Maxwell field in a vicinity of a multipole particle and new special functions

Jerzy Kijowski·Piotr Podles
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Abstract

A method of solving Maxwell equations in a vicinity of a multipole particle (moving along an arbitrary trajectory) is proposed. The method is based on a geometric construction of a trajectory-adapted coordinate system, which simplifies considerably the equations. The solution is given in terms of a series, where a new family of special functions arises in a natural way. Singular behaviour of the field near to the particle may be analyzed this way up to an arbitrary order. Application to the self-interaction problems in classical electrodynamics is discussed.

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Jerzy Kijowski, Piotr Podles. 2007-08-16. A geometric analysis of the Maxwell field in a vicinity of a multipole particle and new special functions. https://doi.org/10.1016/j.geomphys.2009.02.007

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