Abstract
The connections of O(4,2) coherent states, as defined by Perelomov, with hydrogenic atoms are investigated according to a previous work by Mostowski (Lett. Math. Phys. 2, 1 (1977)]. It is shown that these coherent states are well localized near the momentum-space point of classical mechanics corresponding to any elliptical Kepler motion. They are localized in the direction of the Coulomb force in configuration space but are delocalized radially along this direction. The decomposition of these coherent states with respect to Sturmian bases is given. The explicit expression of the configuration-space wave functions for the case of zero eccentricity is also given. Finally, the explicit expression of the momentum-space wave functions is given for all cases.
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