Abraham-Lorentz-Dirac force
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In electrodynamics, the Abraham-Lorentz-Dirac force is the force experienced by a relativistic charged particle due to an electromagnetic field. It is a modification of the Abraham-Lorentz force, which describes the same effect, but does not account for the effects of special relativity.
[edit] Definition
The expression for the Abraham-Lorentz-Dirac force was derived by Paul Dirac in 1938 and is given by
One can show this to be a valid force by manipulating the time average equation for power.
Larmor's Formula describes the power of a system in a non-relativistic interpretation.
[edit] Non-Relativistic form
[edit] Relativistic form
Liénard generalized Larmor's formula into a relativistic formulation in the co-moving frame.
