The European Physical Journal A

, Volume 39, Issue 3, pp 307–314

An improved approximation scheme for the centrifugal term and the Hulthén potential

  • S. M. Ikhdair
Regular Article - Theoretical Physics

DOI: 10.1140/epja/i2008-10715-2

Cite this article as:
Ikhdair, S.M. Eur. Phys. J. A (2009) 39: 307. doi:10.1140/epja/i2008-10715-2


We present a new approximation scheme for the centrifugal term to solve the Schrödinger equation with the Hulthén potential for any arbitrary l -state by means of a mathematical Nikiforov-Uvarov (NU) method. We obtain the bound-state energy eigenvalues and the normalized corresponding eigenfunctions expressed in terms of the Jacobi polynomials or hypergeometric functions for a particle exposed to this potential field. Our numerical results of the energy eigenvalues are found to be in high agreement with those results obtained by using the program based on a numerical integration procedure. The s -wave (l = 0analytic solution for the binding energies and eigenfunctions of a particle are also calculated. The physical meaning of the approximate analytical solution is discussed. The present approximation scheme is systematic and accurate.


03.65.Ge Solutions of wave equations: bound states12.39.Jh Nonrelativistic quark model

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • S. M. Ikhdair
    • 1
  1. 1.Department of PhysicsNear East UniversityNicosiaTurkey