International Journal of Theoretical Physics

, Volume 46, Issue 6, pp 1643-1665

First online:

Exact Polynomial Solution of \({\cal P}{\cal T}$/Non-${\cal P}{\cal T}\)- Symmetric and Non-Hermitian Modified Woods–Saxon Potential by the Nikiforov–Uvarov Method

  • Sameer M. IkhdairAffiliated withDepartment of Physics, Near East University Email author 
  • , Ramazan SeverAffiliated withDepartment of Physics, Middle East Technical University

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Using the Nikiforov–Uvarov (NU) method, the bound state energy eigenvalues and eigenfunctions of the \({\cal P{\cal T}}$-/non-${\cal P}{\cal T}\)-symmetric and non-Hermitian modified Woods–Saxon (WS) model potential with the real and complex-valued energy levels are obtained in terms of the Jacobi polynomials. According to the \({\cal P}{\cal T}\)-symmetric quantum mechanics, we exactly solved the time-independent Schrödinger equation with same potential for the s-states and also for any l-state as well. It is shown that the results are in good agreement with the ones obtained before.


energy eigenvalues and eigenfunctions modified WS potential \({\cal P}{\cal T}\)-symmetry non-Hermitian potential NU method