INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, cilt.17, sa.6, ss.1107-1123, 2008 (SCI-Expanded)
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.