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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

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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.

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Correspondence to Sameer M. Ikhdair.

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PACS Number(s): 03.65.−w, 02.30.Gp, 03.65.Ge, 68.49.−h, 24.10.Ht, 03.65.Db, 12.39.Pn, 71.15.Dx, 02.30.Fn.

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Ikhdair, S.M., Sever, R. 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. Int J Theor Phys 46, 1643–1665 (2007). https://doi.org/10.1007/s10773-006-9317-7

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  • DOI: https://doi.org/10.1007/s10773-006-9317-7

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