P. Bellomo et Cr. Stroud, DISPERSION OF KLAUDER TEMPORALLY STABLE COHERENT STATES FOR THE HYDROGEN-ATOM, Journal of physics. A, mathematical and general, 31(24), 1998, pp. 445-450
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 cohe
rence properties. We show that in the hydrogen atom such wavepackets d
o not move quasiclassically; i.e. they do not follow, with no or littl
e dispersion, the Keplerian orbits of the classical electron. The poor
quantum-classical correspondence does not improve in the semiclassica
l limit.