ANY l-state solutions of the woodssaxon potential in arbitrary dimensions within the new improved quantization rule
International Journal of Modern Physics A, vol.25, no.20, pp.3941-3952, 2010 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 25 Issue: 20
- Publication Date: 2010
- Doi Number: 10.1142/s0217751x10050160
- Journal Name: International Journal of Modern Physics A
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.3941-3952
- Keywords: improved quantization rule, Pekeris approximation, WoodsSaxon potential
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
The approximated energy eigenvalues and the corresponding eigenfunctions of the spherical WoodsSaxon 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 WoodsSaxon potential. The interdimensional degeneracies for various orbital quantum number l and dimensional space D are studied. The solutions for the Hulthén potential, the three-dimensional (D = 3), the s-wave (l = 0) and the cases are briefly discussed. © 2010 World Scientific Publishing Company.