We present a quantum theory for the interaction of a quantum target with a
time dependent matter beam. When several pulses in the incident beam arrive
with a period tau, transitions between levels with an energy difference h/
tau can be enhanced. Unlike all previous studies, we find that transitions
in passive targets can distinguish between an incoherent beam and a beam wi
th a coherent wave packet structure. As an example, Lye calculate the trans
ition probability of Rb Rydberg atoms interacting with a pulsed electron be
am.