Analytic solutions of the Schrödinger equation with non-central generalized inverse quadratic Yukawa potential

Abstract

Abstract This study presents the solutions of Schrödinger equation for the Non-Central Generalized Inverse Quadratic Yukawa Potential within the framework of Nikiforov-Uvarov. The radial and angular part of the Schrödinger equation are obtained using the method of variable separation. More so, the bound states energy eigenvalues and corresponding eigenfunctions are obtained analytically. Numerical results were obtained for the Generalized Inverse Quadratic Yukawa Potential for comparison sake. It was found out that our results agree with existing literature.

Keywords

• Schrödinger equation
• Generalized Inverse Quadratic Yukawa Potential
• Non central potential
• Nikiforov-Uvarov method
• Ring shaped potential