Eigenvalues and eigenfunctions of Woods-Saxon potential in PT-symmetric quantum mechanics

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Date

2006-09-07

Author

Berkdemir, Ayse
Berkdemir, Cuneyt
Sever, Ramazan

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Using the Nikiforov-Uvarov method which is based on solving the second-order differential equations, we firstly analyzed the energy spectra and eigenfunctions of the Woods-Saxon potential. In the framework of the PT-symmetric quantum mechanics, we secondly solved the time-independent Schrodinger equation for the PT and non-PT-symmetric version of the potential. It is shown that the discrete energy eigenvalues of the non-PT-symmetric potential consist of the real and imaginary parts, but the PT-symmetric one has a real spectrum. Results are obtained for s-states only.

Subject Keywords

Nuclear and High Energy Physics, Astronomy and Astrophysics

URI

https://hdl.handle.net/11511/62822

Journal

MODERN PHYSICS LETTERS A

DOI

https://doi.org/10.1142/s0217732306019906

Collections

Department of Physics, Article

Citation Formats

A. Berkdemir, C. Berkdemir, and R. Sever, “Eigenvalues and eigenfunctions of Woods-Saxon potential in PT-symmetric quantum mechanics,” MODERN PHYSICS LETTERS A, vol. 21, no. 27, pp. 2087–2097, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62822.