International Journal of Theoretical Physics

, Volume 46, Issue 10, pp 2384–2395

Polynomial Solution of Non-Central Potentials



We show that the exact energy eigenvalues and eigenfunctions of the Schrödinger 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.


Schrödinger equation Energy eigenvalues and eigenfunctions Non-central potentials Nikiforov and Uvarov method 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of PhysicsNear East UniversityNicosiaTurkey
  2. 2.Department of PhysicsMiddle East Technical UniversityAnkaraTurkey

Personalised recommendations