PHASE-EQUIVALENT POTENTIALS FROM SUPERSYMMETRIC QUANTUM-MECHANICS

Using supersymmetry transformations we have constructed closed form expressions for the phase-equivalent partners (PEP) of the Morse and Hulthen potentials and discussed some of their characteristic features in terms of a model calculation. We have found that (i) there is no Efimov effect for the PEP of the Morse potential and this results from the effect of elimination of the bound state of the parent potential, and (ii) the PEP of the Hulthen potential may have some interesting application in electron-ion scattering.