Shape invariance in prepotential approach to exactly solvable models

Details Shape invariance in prepotential approach to exactly solvable models Shape invariance in prepotential approach to exactly solvable models

2008-11-10

arxiv.org/abs/0811.1511v3

Physics

Mathematical Physics

14 pages, no figures

Scientific paper

In supersymmetric quantum mechanics, exact-solvability of one-dimensional
quantum systems can be classified only with an additional assumption of
integrability, the so-called shape invariance condition. In this paper we show
that in the prepotential approach we proposed previously, shape invariance is
automatically satisfied and needs not be assumed.

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