INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.46, no.10, pp.2384-2395, 2007 (Peer-Reviewed Journal)
Article / Article
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Science Citation Index Expanded, Scopus
Schrodinger equation, energy eigenvalues and eigenfunctions, non-central potentials, Nikiforov and Uvarov method, KLEIN-GORDON EQUATION, SCHRODINGER-EQUATION, DIRAC-EQUATION, BOUND-STATES, MOTION, PARTICLE, FIELD
We show that the exact energy eigenvalues and eigenfunctions of the Schrodinger equation for charged particles moving in certain class of non-central potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and compound Coulomb plus Aharanov-Bohm potentials as special cases. The results are in exact agreement with other methods.