caa a22 4500 463195558 CHVBK 20180406164921.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s10773-006-9317-7 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9317-7 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 [Elektronische Daten] [Sameer Ikhdair, Ramazan Sever] 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. Springer Science+Business Media, LLC, 2007 energy eigenvalues and eigenfunctions nationallicence modified WS potential nationallicence $${\cal P}{\cal T}$$ -symmetry nationallicence non-Hermitian potential nationallicence NU method nationallicence Ikhdair Sameer Department of Physics, Near East University, Nicosia, Mersin 10, North Cyprus, Turkey aut Sever Ramazan Department of Physics, Middle East Technical University, 06531, Ankara, Turkey aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/6(2007-06-01), 1643-1665 0020-7748 46:6<1643 2007 46 10773 https://doi.org/10.1007/s10773-006-9317-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9317-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ikhdair Sameer Department of Physics, Near East University, Nicosia, Mersin 10, North Cyprus, Turkey aut NATIONALLICENCE 700 1- Sever Ramazan Department of Physics, Middle East Technical University, 06531, Ankara, Turkey aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/6(2007-06-01), 1643-1665 0020-7748 46:6<1643 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer