Shape Invariant Natanzon Potentials from Potential Algebra
High Energy Physics - Theory
2007-05-23 v2 Quantum Physics
Abstract
Using the underlying algebraic structures of Natanzon potentials, we discuss conditions that generate shape invariant potentials. In fact, these conditions give all the known shape invariant potentials corresponding to a translational change of parameters. We also find that while the algebra for the general Natanzon potential is , a subgroup suffices for all the shape invariant problems of Natanzon type.
Cite
@article{arxiv.hep-th/9804191,
title = {Shape Invariant Natanzon Potentials from Potential Algebra},
author = {Asim Gangopadhyayaa and Jeffry V. Mallow and Uday P. Sukhatme},
journal= {arXiv preprint arXiv:hep-th/9804191},
year = {2007}
}
Comments
LaTex file, 16 pages, Typographical errors and references corrected