Eigensolutions of the Schro¨dinger equation with a class of Yukawa potentials via supersymmetric approach

Using the basic concept of the supersymmetricshape invariance approach and formalism, we obtained anapproximate solution of the Schro¨dinger equation with aninteraction of inversely quadratic Yukawa potential,Yukawa potential and Coulomb potential which we consideredas a class of Yukawa potentials. By varying thepotential strengths, we obtained a solution for Hellmannpotential, Yukawa potential, Coulomb potential andinversely quadratic Yukawa potential. The numericalresults we obtained show that the interaction of thesepotentials is equivalent to each of the potential.