non-Hermitian potential

Journal Title, Volume, Page:

International Journal of Theoretical Physics, Volume 46, Issue 6, pp 1643-1665

Year of Publication:

2007

Link:

http://link.springer.com/article/10.1007%2Fs10773-006-9317-7#page-1

Authors:

Sameer M. Ikhdair

Department of Physics, Near East University, Nicosia, Mersin 10, North Cyprus, Turkey

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Ramazan Sever

Department of Physics, Middle East Technical University, 06531, Ankara, Turkey

Preferred Abstract (Original):

Using the Nikiforov–Uvarov (NU) method, the bound state energy eigenvalues and eigenfunctions of the

PT$-/ n o n -$PT

-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 PT -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.

An-Najah Staff

Exact Polynomial Solution of PT -/Non-PT - Symmetric and Non-Hermitian Modiﬁed Woods– Saxon Potential by the Nikiforov–Uvarov Method