Some aspects of the classical motion of extended charges

• DOI: 10.1007/bf02786587
• Publication Date: 2008-01-18T11:34:22Z
• Authors: H. M. França; G. C. Marques; A. J. da Silva
• Keywords: 0103 physical sciences; 01 natural sciences

Starting from a covariant equation, we have shown how a consistent equation of motion and an equation for the energy balance are achieved in the nonrelativistic limit. In that limit we can integrate such an equation for any charge distribution by finding its Green’s function. Conclusions concerning the existence of unphysical solutions (and explicit solutions for a large class of models) can be drawn from an analysis of the location of the poles of the Green’s function. A new condition for the nonexistence of pathological solutions is discussed.