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arxiv: 0811.1511 · v3 · pith:HC24FYZ6new · submitted 2008-11-10 · 🧮 math-ph · hep-th· math.MP· math.SP· nlin.SI· quant-ph

Shape invariance in prepotential approach to exactly solvable models

classification 🧮 math-ph hep-thmath.MPmath.SPnlin.SIquant-ph
keywords invarianceshapeapproachprepotentialquantumadditionalassumedassumption
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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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