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

Physics – Quantum Physics

Scientific paper

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10 pages, no figures

Scientific paper

10.1088/0305-4470/38/8/012

First a set of coherent states a la Klauder is formally constructed for the
Coulomb problem in a curved space of constant curvature. Then the flat-space
limit is taken to reduce the set for the radial Coulomb problem to a set of
hydrogen atom coherent states corresponding to both the discrete and the
continuous portions of the spectrum for a fixed \ell sector.

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