Bound State Solution to Schrodinger Equation With Modified Hylleraas Plus Inversely Quadratic Potential Using Supersymmetric Quantum Mechanics Approach

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 α = 0.1,0.2,0.3, 0.4 0.5 and . The result shows that the energy increases with an increase in the quantum state. The energy spectrum shows increase in angular quantum state spacing as the screening parameter increases.