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

Date

2007-06-01

Author

Ikhdair, Sameer M.
Sever, Ramazan

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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.

Subject Keywords

Physics and Astronomy (miscellaneous), General Mathematics

URI

https://hdl.handle.net/11511/62434

Journal

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

DOI

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

Collections

Department of Physics, Article

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Approximate solution to the time-dependent Kratzer plus screened Coulomb potential in the Feinberg-Horodecki equation Farout, Mahmoud; Sever, Ramazan; Ikhdair, Sameer M. (IOP Publishing, 2020-06-01) We obtain the quantized momentum eigenvalues P-n together with space-like coherent eigenstates for the space-like counterpart of the Schrodinger equation, the Feinberg-Horodecki equation, with a combined Kratzer potential plus screened coulomb potential which is constructed by temporal counterpart of the spatial form of these potentials. The present work is illustrated with two special cases of the general form: the time-dependent modified Kratzer potential and the time-dependent screened Coulomb potential.
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Citation Formats

S. M. Ikhdair and R. Sever, “Exact polynomial solution of PT-/non-PT-symmetric and non-Hermitian modified Woods-Saxon potential by the Nikiforov-Uvarov method,” INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, pp. 1643–1665, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62434.