English

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

Quantum Physics 2009-11-10 v1

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0412090,
  title  = {Klauder's coherent states for the radial Coulomb problem in a uniformly curved space and their flat-space limits},
  author = {Myo Thaik and Akira Inomata},
  journal= {arXiv preprint arXiv:quant-ph/0412090},
  year   = {2009}
}

Comments

10 pages, no figures