International Journal of Theoretical Physics

, Volume 46, Issue 10, pp 2384–2395

Polynomial Solution of Non-Central Potentials

Authors

    • Department of PhysicsNear East University
  • Ramazan Sever
    • Department of PhysicsMiddle East Technical University
Article

DOI: 10.1007/s10773-007-9356-8

Cite this article as:
Ikhdair, S.M. & Sever, R. Int J Theor Phys (2007) 46: 2384. doi:10.1007/s10773-007-9356-8

Abstract

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.

Keywords

Schrödinger equationEnergy eigenvalues and eigenfunctionsNon-central potentialsNikiforov and Uvarov method

Copyright information

© Springer Science+Business Media, LLC 2007