Supersymmetry and shape invariance of the effective screened potential

This paper discusses the supersymmetry and shape invariance (SI) of the effective screened potential. It is shown that the effective screened potential (ESP) has SI and belongs to the first class of shape-invariant potentials, thence the energy levels of this potential are obtained. Furthermore, by using the method of point canonical transformation we find that the ESP belongs to the same subclass as Poschl-Teller potential 1; the bound-state spectra and the eigenfunctions of this potential are obtained. The results obtained can readily be applied to the special case of the ESP, the famous Hulthen potential.Physics, MultidisciplinarySCI(E)27ARTICLEnull