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

JOURNAL OF GEOMETRY AND PHYSICS

卷:59

Article

Kijowski, Jerzy²  Podles, Piotr¹ 

[1] Univ Warsaw, Dept Math Methods Phys, Fac Phys, PL-00682 Warsaw, Poland

[2] Polish Acad Sci, Ctr Theoret Phys, PL-02668 Warsaw, Poland

关键词: Self-interaction;    Classical electrodynamics;    Solutions of Maxwell equations;    Multipole particle;    Special functions;   

DOI  :  10.1016/j.geomphys.2009.02.007

来源: Elsevier

【 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.

【 授权许可】

Free