Nondispersive electronic Rydberg wave packets may be created in atoms
illuminated by a microwave field of circular polarization. We discuss
the spontaneous emission from such states, and show that the elastic i
ncoherent component (occurring at the frequency of the driving field)
dominates the spectrum in the semiclassical limit. contrary to earlier
predictions. We calculate the frequencies of single-photon emissions
and the associated rates in the ''harmonic approximation,'' i.e., when
the wave packet has approximately a Gaussian shape. The results agree
well with exact quantum-mechanical calculations, which validates the
analytical approach.