Analytical exact solutions for the Razavy type potential

Abstract

A quantum system with Razavy type potential which transforms to single or double well potential according to negative or positive potential parameterk, is solved analytically by using extended form of Nikiforov-Uvarov (NU) method. It is presented that eigenvalue spectra of Schrodinger equation for this potential can be attained analytically by the method. Eigenfunction solutions that are depending on confluent Heun polynomials, are analyzed graphically for specified parameters.