ANY l-state solutions of the woodssaxon potential in arbitrary dimensions within the new improved quantization rule

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Ikhdair S. M., Sever R.

International Journal of Modern Physics A, vol.25, no.20, pp.3941-3952, 2010 (SCI-Expanded) identifier identifier

  • 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
  • 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.