International Journal of Theoretical Physics

, Volume 46, Issue 6, pp 1643–1665

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

Article

DOI: 10.1007/s10773-006-9317-7

Cite this article as:
Ikhdair, S.M. & Sever, R. Int J Theor Phys (2007) 46: 1643. doi:10.1007/s10773-006-9317-7

Abstract

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.

Keywords

energy eigenvalues and eigenfunctionsmodified WS potential\({\cal P}{\cal T}\)-symmetrynon-Hermitian potentialNU method

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of PhysicsNear East UniversityNicosia, Mersin 10Turkey
  2. 2.Department of PhysicsMiddle East Technical UniversityAnkaraTurkey