Exact solution of the Klein-Gordon equation for the \({\mathcal{PT}}\)-symmetric generalized Woods-Saxon potential by the Nikiforov-Uvarov method. (English) Zbl 1114.81029

Ikhdair, S. M.; Sever, R.

Ann. Phys. (8) 16, No. 3, 218-232 (2007).

Summary: The exact solution of the one-dimensional Klein-Gordon equation of the \(\mathcal{PT}\)-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:

81Q05	Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81U15	Exactly and quasi-solvable systems arising in quantum theory

Keywords:

Klein-Gordon equation; energy eigenvalues and eigenfunctions; woods-saxon potential; PT-symmetry; Nikiforov-Uvarov method

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