Algebraic treatment of the confluent Natanzon potentials
Quantum Physics
2009-11-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0201016,
title = {Algebraic treatment of the confluent Natanzon potentials},
author = {M. T. Chefrour and L. Chetouani and L. Guechi},
journal= {arXiv preprint arXiv:quant-ph/0201016},
year = {2009}
}
Comments
9 pages