Exact solution of the Herrera equation of motion in classical electrodynamics

Authors
Ares de Parga, G Mares, R
Citation
G. Ares De Parga et R. Mares, Exact solution of the Herrera equation of motion in classical electrodynamics, J MATH PHYS, 40(10), 1999, pp. 4807-4812
Citations number
14
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
40
Issue
10
Year of publication
1999
Pages
4807 - 4812
Database
ISI
SICI code
0022-2488(199910)40:10<4807:ESOTHE>2.0.ZU;2-A
Abstract
The Landau-Lifshitz equation is derived as a first-order iteration of the L orentz-Dirac equation for the charged particle. In those cases with null el ectromagnetic field's gradient, the Landau-Lifshitz gives the so named Herr era equation. A general method for the solution of the latter equation is p resented and applied to the motion of a particle in a uniform electromagnet ic field. (C) 1999 American Institute of Physics. [S0022-2488(99)01610-2].