  We investigate the effect of radiation reaction on the motion of a wave
packet of a charged scalar particle linearly accelerated in quantum
electrodynamics. We give the details of the calculations for the case where the
particle is accelerated by a static potential that were outlined in Phys.Rev. D
70 (2004) 081701(R) and present similar results in the case of a time-dependent
but space-independent potential. In particular, we calculate the expectation
value of the position of the charged particle after the acceleration, to first
order in the fine structure constant in the $\hbar \to 0$ limit, and find that
the change in the expectation value of the position (the position shift) due to
radiation reaction agrees exactly with the result obtained using the
Lorentz-Dirac force in classical electrodynamics for both potentials. We also
point out that the one-loop correction to the potential may contribute to the
position change in this limit.
