Supersymmetry and Integrable Models
Exactly solvable potentials of nonrelativistic quantum mechanics are known to be shape invariant. For these potentials, eigenvalues and eigenvectors can be derived using well known methods of supersymmetric quantum mechanics. The majority of these potentials have also been shown to possess a potential algebra, and hence are also solvable by group theoretical techniques. In this paper, for a subset of solvable problems, we establish a connection between the two methods and show that they are indeed equivalent.
Gangopadhyaya, A, J Mallow, and U Sukhatme. "Shape invariance and its connection to potential algebra." http://arxiv.org/pdf/quant-ph/9805042.pdf
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
© 1998 The Authors.