Exact polynomial solution of PT-/non-PT-symmetric and non-Hermitian modified Woods-Saxon potential by the Nikiforov-Uvarov method

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Ikhdair S. M., Sever R.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.46, no.6, pp.1643-1665, 2007 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 46 Issue: 6
• Publication Date: 2007
• Doi Number: 10.1007/s10773-006-9317-7
• Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1643-1665
• Middle East Technical University Affiliated: No

Abstract

UUsing the Nikiforov-Uvarov ( NU) method, the bound state energy eigenvalues and eigenfunctions of the PT-/non-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 Schrodinger 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.