A Group-Theoretical Method for Natanzon Potentials in Position-Dependent Mass Background
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
A new manner for deriving the exact potentials is presented. By making use of conformal mappings, the general expression of the effective potentials deduced under su(1,1) algebra can be brought back to the general Natanzon hypergeometric potentials.
Cite
@article{arxiv.0803.4376,
title = {A Group-Theoretical Method for Natanzon Potentials in Position-Dependent Mass Background},
author = {S. -A. Yahiaoui and M. Bentaiba*},
journal= {arXiv preprint arXiv:0803.4376},
year = {2009}
}