International Journal of Theoretical Physics

, Volume 46, Issue 10, pp 2384–2395

Polynomial Solution of Non-Central Potentials

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

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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

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