Exact solution of Schr\"odinger equation with q-deformed quantum potentials using Nikiforov-Uvarov method

In this paper, we present the exact solution of one dimensional Schr"odinger equation for Wood-Saxon plus Rosen-Morse plus symmetrical double well potential via Nikiforov-Uvarov mathematical method. The eigenvalues and eigenfunctions of this potential are obtained. The energy equations and the corresponding wave function for special cases of this potential are briefly discussed. The PT-symmetry and Hermiticity for this potential are also considered.