Action of a Relativitic Charged Point Particle on Itself and other Charges
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Date
1992-06
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Addis Ababa University
Abstract
The different expressions for the Green function of electromagnetic
field of a point charge have been considered with the special
attention to the advanced contribution that is shown to be of
importance for the self-action of particle responsible for the
radiation reaction. Simultaneous expansions for electromagnetic fields
of a point charge are obtained in two different ways, by means of
Lagrange expansions of the fields and the Taylor expansion of the
Green function. The Lagrangian description for a system of charged
particles and their electromagnetic field is given in terms of
particle variables only, with the field expressed through the higher
derivatives of the particles velocities. It is shown that the
self-actions of particles may be included in their equations of motion
with all divergent terms cancelled. An intrinisic relation between the
retarded and advanced fields of charged particles has been also
obtained. The results are important for an exact description of a
system of relativistic charged particles
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Action of a Relativitic Charged Point