DISPERSION OF KLAUDER TEMPORALLY STABLE COHERENT STATES FOR THE HYDROGEN-ATOM

Citation
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
Citations number
23
Categorie Soggetti
Physics,"Physycs, Mathematical
ISSN journal
03054470
Volume
31
Issue
24
Year of publication
1998
Pages
445 - 450
Database
ISI
SICI code
0305-4470(1998)31:24<445:DOKTSC>2.0.ZU;2-R
Abstract
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.