Approximate solutions of Schrodinger equation with combination of Kratzer and modified Eckart potential

Abstract

We solve the Schrodinger equation for the combination of Kratzer and Modified Eckart potential by using an approximation to the centrifugal term. Analytical expressions of the energy and the corresponding eigenfunctions have been obtained by using the parametric Nikiforov-Uvarov method. Special cases of the potential are discussed. In addition, numerical results of the energy are computed. Furthermore, it is reported that the energy E and the quantum numbers n and l are inversely proportional to each other.

Keywords

• kratzer potential
• modified eckart potential
• nikiforov-uvarov method