Exact solutions of the Schrodinger equation with non-central potential by the Nikiforov-Uvarov method


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Yasuk F. , Berkdemir C., Berkdemir A.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.38, no.29, pp.6579-6586, 2005 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 29
  • Publication Date: 2005
  • Doi Number: 10.1088/0305-4470/38/29/012
  • Title of Journal : JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Page Numbers: pp.6579-6586

Abstract

The general solutions of the Schrodinger equation for a non-central potential are obtained by using the Nikiforov-Uvarov method. The Schrodinger equation with general non-central potential is separated into radial and angular parts, and energy eigenvalues and eigenfunctions are derived analytically. By making special selections, the non-central potential is reduced to Coulomb and Hartmann ring-shaped potentials, and the obtained results are compared with the solutions of Coulomb and Hartmann potentials given in the literature.