Exact solutions of the Schrodinger equation with non-central potential by the Nikiforov-Uvarov method
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.38, no.29, pp.6579-6586, 2005 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 38 Issue: 29
- Publication Date: 2005
- Doi Number: 10.1088/0305-4470/38/29/012
- Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
- Page Numbers: pp.6579-6586
- Open Archive Collection: AVESIS Open Access Collection
- Erciyes University Affiliated: Yes
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.