2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50550The 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.Talk given at the XXIII International Colloquium on Group Theoretical Methods in Physics, Dubna, August 2000, 10 pagesHigh Energy Physics - TheorySupersymmetric quantum mechanics, the variational method and a new shape invariant potentialtext