Bound-states of a semi-relativistic equation for the PT-symmetric generalized Hulthen potential by the Nikiforov-Uvarov method


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IKHDAİR S., Sever R.

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, vol.17, no.6, pp.1107-1123, 2008 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 6
  • Publication Date: 2008
  • Doi Number: 10.1142/s0218301308010337
  • Title of Journal : INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS
  • Page Numbers: pp.1107-1123

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.