Bound-States of A Semi-Relativistic Equation for the PT- Symmetric Generalized Hulthén Potential by the Nikiforov–Uvarov Method

Journal Title, Volume, Page:

International Journal of Modern Physics E Vol. 17, No. 6, 1107- 1123

Year of Publication:

2008

Link:

http://www.worldscientific.com/doi/abs/10.1142/S0218301308010337

Authors:

SAMEER M. IKHDAIR

Department of Physics, Near East University, Nicosia, TRNC, Mersin 10, Turkey

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

RAMAZAN SEVER

Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

Preferred Abstract (Original):

The one-dimensional semi-relativistic equation has been solved for the -symmetric generalized Hulthén 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 Hulthén potentials.

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Bound-States of A Semi-Relativistic Equation for the PT- Symmetric Generalized Hulthén Potential by the Nikiforov–Uvarov Method