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.
Ramsey interferometry as a witness of acceleration radiation
我们采用一个典型的拉姆齐干涉仪插入一个直线加速器能够加速一个原子内的单模腔。我们证明，这个简单的方案使我们能够通过干涉测量可见度来估计加速辐射的影响。通过使用里德伯类原子，我们的研究结果表明，对于GHz的数量级和1 ns的相互作用时间的过渡制度，可以观察到的加速辐射效应的加速度低至$10^{17}$ m/s $^2$。
