Bound-states of a semi-relativistic equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method
INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, vol.17, no.6, pp.1107-1123, 2008 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 17 Issue: 6
- Publication Date: 2008
- Doi Number: 10.1142/s0218301308010337
- Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1107-1123
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
The one-dimensional semi-relativistic equation has been solved for the PT-symmetric generalized Hulthen potential. The Nikiforov-Uvarov (NU) method which is based on solving the second-order linear differential equations by reduction to a generalized equation of hypergeometric type, is used to obtain exact energy eigenvalues and corresponding eigenfunctions. We have investigated the positive and negative exact bound states of the s-states for different types of complex generalized Hulthen potentials.