Motion of an electron through vacuum fluctuations

We study the effects of the electromagnetic vacuum on the motion of a nonrelativistic electron. First we derive the equation of motion for the expectation value of the electron’s position operator. We show how this equation has the same form as the classical Abraham-Lorentz equation but, at the same time, is free of the well-known runaway solution. Second, we study decoherence induced by vacuum fluctuations. We show that decoherence due to vacuum fluctuations that appears at the level of the reduced density matrix of the electron, obtained after tracing over the radiation field, does not correspond to actual irreversible loss of coherence.