F. Buyukilic et al., SOLUTION OF THE SCHRODINGER-EQUATION FOR 2 DIFFERENT MOLECULAR POTENTIALS BY THE NIKIFOROV-UVAROV METHOD, Theoretical chemistry accounts, 98(4), 1997, pp. 192-196
In this study, the solution of the Schrodinger equation by a method de
veloped by Nikiforov and Uvarov which is not based on the manipulation
of formal power series has been schematically presented. The method g
ives elegant, easy and exact solutions of the Schrodinger equation. In
order to demonstrate the applications of the method, solutions of the
Schrodinger equation for the well-known pseudo-harmonic oscillator an
d a new symmetrical potential proposed by the authors are given. The c
oncrete energy spectra and corresponding wave functions are obtained.
The superiority and the limitations of the method compared to other me
thods have also been emphasized.