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Keywords:

  • Klein-Gordon equation;
  • energy eigenvalues and eigenfunctions;
  • Woods-Saxon potential;
  • PT-symmetry;
  • Nikiforov-Uvarov method

Abstract

The exact solution of the one-dimensional Klein-Gordon equation of the ����-symmetric generalized Woods-Saxon potential is obtained. The exact energy eigenvalues and wavefunctions are derived analytically by using the Nikiforov and Uvarov method. In addition, the positive and negative exact bound states of the s-states are also investigated for different types of complex generalized Woods-Saxon potentials.