Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule

Details Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule

2010-09-26

arxiv.org/abs/1009.5083v1

Int. J. Mod. Phys. A 25, 3941(2010)

Physics

Mathematical Physics

15 pages

Scientific paper

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 $% s$-wave ($l=0$) and the cases are briefly discussed.

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