Ab Initio Method for Obtaining Exactly Solvable Quantum Mechanical Potentials

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dc.creatorGangopadhyaya, Asim
dc.creatorMallow, Jeffry V.
dc.date2007-08-18
dc.date.accessioned2026-07-07T08:24:15Z
dc.date.available2026-07-07T08:24:15Z
dc.descriptionThe shape invariance condition is the integrability condition in supersymmetric quantum mechanics (SUSYQM). It is a difference-differential equation connecting the superpotential W and its derivative at two different values of parameters. We show that this difference equation is equivalent to a non-linear partial differential equation whose solutions are translational shape invariant superpotentials. In lieu of trial and error, this method provides the first ab initio technique for generating shape invariant superpotentials.
dc.identifierhttps://arxiv.org/abs/0708.2454
dc.identifierhttp://arxiv.org/abs/0708.2454
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136278
dc.subjectHigh Energy Physics - Theory
dc.titleAb Initio Method for Obtaining Exactly Solvable Quantum Mechanical Potentials
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