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Any l-state Solutions of the Woods Saxon Potential in Arbitrary Dimensions within the New Improved Quantization Rule

Mon, 2013-10-28 14:20 — Sameer. Ikhdair
Journal Title, Volume, Page: 
International Journal of Modern Physics A Vol. 25, No. 20, 3941- 3952
Year of Publication: 
2010
Link: 
http://arxiv.org/abs/1009.5083
Authors: 
Sameer M. Ikhdair
Department of Physics, Near East University, Nicosia, North Cyprus, Turkey
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
[email protected]
Ramazan Sever
Physics Department, Middle East Technical University, 06800, Ankara, Turkey
Preferred Abstract (Original): 
The approximated energy eigenvalues and the corresponding eigenfunctions of the spherical Woods-Saxon effective potential in D dimensions are obtained within the new improved quantization rule for all l-states. The Pekeris approximation is used to deal with the centrifugal term in the effective Woods-Saxon potential. The inter-dimensional degeneracies for various orbital quantum number l and dimensional space D are studied. The solutions for the Hulth\'{e}n potential, the three-dimensional (D=3), the -wave (l=0) and the cases are briefly discussed.
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