Within certain limits, the dynamics of a single trapped ion oscillatin
g about the node of a standing-wave light field is described by the Ja
ynes-Cummings model, which is routinely used for cavity-QED experiment
s. We propose a technique to measure quantum collapse and revival in t
he population inversion of a single trapped ion, and show that this me
thod is uniquely suited for the measurement of final temperatures of t
he trapped ion as well as for the analysis of nonclassical states of t
he ion motion, such as Fock and squeezed states. The results are discu
ssed with particular consideration given to the effects of a finite la
ser bandwidth.