In this work, we obtained an approximate bound state solution to Schrodinger equation with
modified Hylleraass plus inversely quadratic potential using Supersymmetric quantum
mechanics approach. Applying perkeris approximation to the centrifugal term, we obtained
the eigen-energy and the normalized wave function using Gauss and confluent
hypergeometric functions. We implement Fortran algorithm to obtained the numerical result
of the energy for the screening parameter 0.1, 0.2, 0.3, 0.4 0.5 and α=. The result shows that …

In this work, an approximate bound state solution to Schrodinger equation with modified
Hylleraas plus inversely quadratic potential was obtained using the parametric form of the
Nikiforov-Uvarov method. Applying the elegant approximation to deal with the centrifugal
term for arbitrary orbital angular quantum number, the energy spectrum and the
corresponding wave function was obtained.