A geometric analysis of the Maxwell field in a vicinity of a multipole particle and new special functions
| dc.creator | Kijowski, Jerzy | |
| dc.creator | Podles, Piotr | |
| dc.date | 2007-08-16 | |
| dc.date.accessioned | 2026-07-07T13:05:17Z | |
| dc.date.available | 2026-07-07T13:05:17Z | |
| dc.description | 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. | |
| dc.description | 33 pages, LaTeX file | |
| dc.identifier | https://arxiv.org/abs/0708.2174 | |
| dc.identifier | http://arxiv.org/abs/0708.2174 | |
| dc.identifier | J. Geom. Phys. 59 (2009) 693-709 (slightly shortened and modified version, slightly changed title) | |
| dc.identifier | doi:10.1016/j.geomphys.2009.02.007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227439 | |
| dc.subject | Classical Physics | |
| dc.title | A geometric analysis of the Maxwell field in a vicinity of a multipole particle and new special functions | |
| dc.type | text |