Manila Journal of Science 11 (2018), pp. 58–67

Bound-State Solutions of the Schrödinger Equation with Woods–Saxon Plus Attractive Inversely Quadratic Potential via Parametric Nikiforov–Uvarov Method

Abstract

We study the bound-state solutions of the Schrödinger equation with Woods–Saxon plus attractive inversely quadratic potential using the parametric Nikiforov–Uvarov method. We obtained the bound-state energy eigenvalues and the corresponding normalized eigenfunctions expressed in terms of hypergeometric functions. Two special cases of this potential are discussed. Numerical values of the energy eigenvalues are also computed for some values of n at l = 0 with α = 0.01, 0.03, 0.1, 2, and 5 using python 3.6 programming.

 

Manila Journal Of Science 11 (2018), Pp 58–67 (1.5 MiB)