Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2004-02-26
J. Phys. A 37 (2004), no. 43, 10065--10078
Nonlinear Sciences
Exactly Solvable and Integrable Systems
14 pages, 1 figure
Scientific paper
10.1088/0305-4470/37/43/004
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.
Gomez-Ullate David
Kamran Niky
Milson Robert
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