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Exact solution of the Klein-Gordon equation for the 𝒫𝒯-symmetric generalized Woods-Saxon potential by the Nikiforov-Uvarov method. (English) Zbl 1114.81029
Summary: The exact solution of the one-dimensional Klein-Gordon equation of the 𝒫𝒯-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.
MSC:
81Q05Closed and approximate solutions to quantum-mechanical equations
81U15Exactly and quasi-solvable systems (quantum theory)