Natural Science Forum / Physics / Research / July 2008

You might like to look at:
"Geometric Algebra for Physicists" by
Chris Doran and Anthony Lasenby
In particular, Chapter 7

Richard Harke

Try the Feynman-Heaviside formalism for the field of an accelerated
point charge. You can find it in J D Jackson's 'Classical
Electrodynamics' 3rd Ed.

If the particle is traveling at relativistic speeds, you can perform a
Lorentz transformation of the fields.

The Heaviside-Feynman equations give the fields directly (Heaviside did
it first, but Feynman's later rediscovery seems to be better known).

These can be found in Heaviside, Electromagnetic theory vol 3, and in
the Feynman lectures. We used them in Pfeifer & Nieminen, Eur. J. Phys.
27, 521 (2006). But beware a typo in our equations - corrected in an
erratum in 2007. The version on arxiv should be correct:

http://arxiv.org/abs/physics/0602061