Abstract
In the beginning, we start with reviewing basic concepts such as inner product and Hilbert spaces; then we introduce Schrodinger Equation SE focusing on the solution of time– dependent and time–independent SE with a stress on the harmonic oscillator HO problem which will be the ingredient for our subject ; namely, the numerical solution of SE. The numerical solution of SE is then tackled using the so–called potential morphing method PMM . Calculations were carried out for the ground state of the HO which represents the frame of reference to work with. The obtained results were compared with similar ones and found to be in very good agreement. Finally, a brief discussion related to possible future work is given; moreover recent works on the subject are exposed to .