  We investigate the motion of a wave packet of a charged scalar particle
linearly accelerated by a static potential in quantum electrodynamics. 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 -> 0
limit. We 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. We also
point out that the one-loop correction to the potential may contribute to the
position change in this limit.
