Application of multidimensional SSQM formalism to He atom

Usually the renormalized Numerov (RN) algorithm is used to solve the set of coupled differential equations of the few body system. The straight forward approach of this algorithm to the excited states faces some serious problems of convergence in binding energy. Here we present an alternative elegant approach using multidimensional super-symmetric quantum mechanics (SSQM) where the problem of convergence is avoided by searching for the ground states of the partner potentials. Application of this formalism to the first excited 1Se state of He atom gives excellent result, showing very fast convergence. (author)