Revival Times for a Generalized Coherent State

Revival times are studied for a generalized coherent state found using techniques from supersymmetric quantum mechanics. We prove that in general, exact revivals are quite rare: they only occur when the energy spectrum satisfies a certain condition, namely, that the difference between any two of the energy spectra must be related to the difference between any other two of the spectra by a rational number.. We then examine three examples of shape invariant potentials whose energy spectra satisfy the condition.