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

被引：0
|
作者：
Kijowski, Jerzy [2 ]
Podles, Piotr [1 ]
机构：
[1] Univ Warsaw, Dept Math Methods Phys, Fac Phys, PL-00682 Warsaw, Poland
[2] Polish Acad Sci, Ctr Theoret Phys, PL-02668 Warsaw, Poland
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2009年 / 59卷 / 06期
关键词：
Self-interaction; Classical electrodynamics; Solutions of Maxwell equations; Multipole particle; Special functions; RENORMALIZED CLASSICAL ELECTRODYNAMICS; NEIGHBORHOOD;
D O I：
10.1016/j.geomphys.2009.02.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A method of solving Maxwell equations in a vicinity of a multipole particle (moving along ail arbitrary trajectory) is proposed. The method is based oil a geometric construction of a novel 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 ill a natural way. Singular behaviour of the field near to the particle may be analyzed this Way Up to ail arbitrary order. Application to the self-interaction problems in classical electrodynamics is discussed. (C) 2009 Elsevier B.V. All rights reserved.
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页码：693 / 709
页数：17
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