Polynomial solution of non-central potentials


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Ikhdair S. M. , Sever R.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.46, no.10, pp.2384-2395, 2007 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 10
  • Publication Date: 2007
  • Doi Number: 10.1007/s10773-007-9356-8
  • Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.2384-2395
  • Keywords: 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

Abstract

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.