Dispersion of Klauder's temporally stable coherent states for the hydrogen atom

We study the dispersion of the 'temporally stable' coherent states for the hydrogen atom introduced by Klauder. These are states which under temporal evolution by the hydrogen atom Hamiltonian retain their coherence properties. We show that in the hydrogen atom such wavepackets do not move quasiclassically; i.e. they do not follow, with no or little dispersion, the Keplerian orbits of the classical electron. The poor quantum-classical correspondence does not improve in the semiclassical limit.