Chinese Journal of Physics
Using supersymmetric quantum mechanics, one can obtain analytic expressions for the eigenvalues and eigenfunctions for all nonrelativistic shape invariant Hamiltonians. These Hamiltonians also possess spectrum generating algebras and are hence solvable by an independent, group theoretical method. In this paper, we demonstrate the equivalence of the two methods of solution, and review related progress in this field.
Gangopadhyaya, A, J Mallow, R Asinariu, and U Sukhatme. "Exact solutions of the schroedinger equation: connection between supersymmetric quantum mechanics and spectrum generating algebras" in Chinese Journal of Physics 39(2), 2001.
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© The Physical Society of the Republic of China, 2001.