BOUND STATE AND SCATTERING PHASE SHIFT OF THE SCHRӦDINGER EQUATION WITH MODIFIED TRIGONOMETRY SCARF TYPE POTENTIAL

The approximate bound state of the nonrelativistic Schrӧdinger equation was obtained with the modified trigonometric scarf type potential in the framework of asymptotic iteration method for any arbitrary angular momentum quantum number l using a suitable approximate scheme to the centrifugal term. The effect of the screening parameter and potential depth on the eigenvalue was studied numerically. Finally, the scattering phase shift of the nonrelativistic Schrӧdinger equation with the potential under consideration was calculated.