Approximate eigenvalue and eigenfunction solutions for the generalized Hulthen potential with any angular momentum


Ikhdair S. M. , Sever R.

JOURNAL OF MATHEMATICAL CHEMISTRY, vol.42, no.3, pp.461-471, 2007 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 3
  • Publication Date: 2007
  • Doi Number: 10.1007/s10910-006-9115-8
  • Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.461-471
  • Keywords: energy eigenvalues and eigenfunctions, Hulthen potential, Nikiforov-Uvarov method, SHIFTED 1/N EXPANSION, SCREENED COULOMB, HAMILTONIAN HIERARCHY, SCHRODINGER-EQUATION, ENERGIES, COMPLEX

Abstract

An approximate solution of the Schrodinger equation for the generalized Hulthen potential with non-zero angular quantum number is solved. The bound state energy eigenvalues and eigenfunctions are obtained in terms of Jacobi polynomials. The Nikiforov-Uvarov method is used in the computations. We have considered the time-independent Schrodinger equation with the associated form of Hulthen potential which simulate the effect of the centrifugal barrier for any l-state. The energy levels of the used Hulthen potential gives satisfactory values for the non-zero angular momentum as the generalized Hulthen effective potential.