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.