Application of Nikiforov-Uvarov method for non-central potential system solution

Abstract

The energy eigenvalues and eigenfunctions of Schrodinger equation for a 3D harmonic oscillator potential plus Rosen-Morse non-central potential and Eckart plus trigonometric Poschl-Teller non-central potential are investigated using NU method. The bound state energy eigenvalues for both systems are given in a closed form and the corresponding radial wave functions are expressed in associated Laguerre polynomials for 3D harmonics oscillator while the radial and angular eigenfunctions are given in terms of Jacobi polynomials. The Rosen-Morse and Poschl-Teller potentials are considered to be the perturbation factors to the 3D harmonic oscillator and Eckart potentials that cause the decrease of angular momentum length but preserve the number of energy degeneracy.