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Supersymmetric quantum mechanics, the variational method and a new shape invariant potential

Elso Drigo filho·Regina Maria Ricotta
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Abstract

The association of the variational method with supersymmetric quantum mechanics through an ansatz for the superpotential is reviewed and the approximate energy spectra of non-exactly solvable potentials, such like the Hulthen, the Morse and the screened Coulomb potentials, in 3 dimensions, are presented. A sketch of a new exactly shape invariant potential is also presented.

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Elso Drigo filho, Regina Maria Ricotta. 2001-02-20. Supersymmetric quantum mechanics, the variational method and a new shape invariant potential. https://arxiv.org/abs/hep-th/0102124

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