%0 Journal Article
%T Algebraic treatment of the confluent Natanzon potentials
%A M. T. Chefrour
%A L. Chetouani
%A L. Guechi
%J Physics
%D 2002
%I arXiv
%R 10.1209/epl/i2000-00362-7
%X Using the so(2,1) Lie algebra and the Baker, Campbell and Hausdorff formulas, the Green's function for the class of the confluent Natanzon potentials is constructed straightforwardly. The bound-state energy spectrum is then determined. Eventually, the three-dimensional harmonic potential, the three-dimensional Coulomb potential and the Morse potential may all be considered as particular cases.
%U http://arxiv.org/abs/quant-ph/0201016v1