$\mathcal{C}$, $\mathcal{P}$, $\mathcal{T}$ operations and classical point charged particle dynamics

Abstract

The action of parity inversion, time inversion and charge conjugation operations on several differential equations for a classical point charged particle are described. Moreover, we consider the notion of {\it symmetrized acceleration} $\Delta_q$ that for models of point charged electrodynamics is sensitive to deviations from the standard Lorentz force equation. It is shown that $\Delta_q$ can be observed with current or near future technology and that it is an useful quantity for probing radiation reaction models. To illustrate these points we consider four different models for the dynamics of point charged particles and radiation reaction.