Romanovski polynomials method and its application for non-central potential system

Abstract

The approximate analytical solution of Schrodinger equation for Eckart potential plus with trigonometric Poschl-Teller noncentral potential and trigonometric Rosen-Morse non-central potential systems are investigated using Romanovski polynomials. The approximate bound state energy eigenvalue of the first system is given in the close form and the corresponding approximate radial eigen functions is formulated in the form of Romanovski polynomials while the angular wave function is also expressed in Romanovski polynomials. The effect of the presence of trigonometric Poschl-Teller potential increases the angular wave function level. The presence of non-central potentials cause the orbital quantum numbers are mostly not integer.