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First a set of coherent states a la Klauder is formally constructed for theCoulomb problem in a curved space of constant curvature. Then the flat-spacelimit is taken to reduce the set for the radial Coulomb problem to a set ofhydrogen atom coherent states corresponding to both the discrete and thecontinuous portions of the spectrum for a fixed \ell sector.Comment: 10 pages, no figure

Klauder's coherent states for the radial Coulomb problem in a uniformly curved space and their flat-space limits