Geodesic
Exactly solvable models in supersymmetric quantum mechanics and connection with spectrum-generating algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 362-374 Cet article a éte moissonné depuis la source Math-Net.Ru

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Analytic expressions for the eigenvalues and eigenfunctions of nonrelativistic shape-invariant Hamiltonians can be derived using the well-known method of supersymmetric quantum mechanics. Most of these Hamiltonians also possess spectrum-generating algebras and are hence solvable by an independent group theory method. We demonstrate the equivalence of the two solution methods by developing an algebraic framework for shape-invariant Hamiltonians with a general parameter change involving nonlinear extensions of Lie algebras. 
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A. Gangopadhyaya; J. V. Mallow; C. Rasinariu; U. P. Sukhatme. Exactly solvable models in supersymmetric quantum mechanics and connection with spectrum-generating algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 362-374. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a5/

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