Algebraic Shape Invariant Models

Details Algebraic Shape Invariant Models Algebraic Shape Invariant Models

1998-07-10

arxiv.org/abs/hep-th/9807081v1

Phys.Lett. A248 (1998) 109-113; Erratum-ibid. A251 (1999) 406

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 2 figures

Scientific paper

10.1016/S0375-9601(98)00636-7

Motivated by the shape invariance condition in supersymmetric quantum mechanics, we develop an algebraic framework for shape invariant Hamiltonians with a general change of parameters. This approach involves nonlinear generalizations of Lie algebras. Our work extends previous results showing the equivalence of shape invariant potentials involving translational change of parameters with standard $SO(2,1)$ potential algebra for Natanzon type potentials.

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