Published January 1, 2010 | Version v1
Journal article Open

ANY l-STATE SOLUTIONS OF THE WOODS-SAXON POTENTIAL IN ARBITRARY DIMENSIONS WITHIN THE NEW IMPROVED QUANTIZATION RULE

  • 1. Near East Univ, Dept Phys, Nicosia, Cyprus
  • 2. Middle E Tech Univ, Dept Phys, TR-06800 Ankara, Turkey

Description

The approximated energy eigenvalues and the corresponding eigenfunctions of the spherical Woods-Saxon effective potential in D dimensions are obtained with in 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 interdimensional degeneracies for various orbital quantum number l and dimensional space D are studied. The solutions for the Hulthen potential, the three-dimensional (D = 3), the s-wave (l = 0) and the cases are briefly discussed.

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