## Radiation reaction on charged particles in three-dimensional motion in classical and quantum electrodynamics

We extend our previous work [A. Higuchi and G. D. R. Martin, Found. Phys. 35, 1149 (2005)], which compared the predictions of quantum electrodynamics concerning radiation reaction with those of the Abraham-Lorentz-Dirac theory for a charged particle in linear motion. Specifically, we calculate the predictions for the change in position of a charged-scalar particle, moving in three-dimensional space, due to the effect of radiation reaction in the one-photon-emission process in quantum electrodynamics. The scalar particle is assumed to be accelerated for a finite period of time by a three-dimensional electromagnetic potential dependent only on one of the spacetime coordinates. Wemore »