Supersymmetry and algebraic deformations
Exactly Solvable and Integrable Systems
2011-04-13 v1
Abstract
We describe a class of algebraically solvable SUSY models by considering the deformation of invariant polynomial flags by means of the Darboux transformation. The algebraic deformations corresponding to the addition of a bound state to a shape-invariant potential are particularly interesting. The polynomial flags in question are indexed by a deformation parameter m=1,2,... and lead to new algebraically solvable models. We illustrate these ideas by considering deformations of the hyperbolic P\"oschl-Teller potential.
Keywords
Cite
@article{arxiv.nlin/0402052,
title = {Supersymmetry and algebraic deformations},
author = {D. Gomez-Ullate and N. Kamran and R. Milson},
journal= {arXiv preprint arXiv:nlin/0402052},
year = {2011}
}
Comments
14 pages, 1 figure