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

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

2001-02-20

arxiv.org/abs/hep-th/0102124v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk given at the XXIII International Colloquium on Group Theoretical Methods in Physics, Dubna, August 2000, 10 pages

Scientific paper

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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