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

Abstract

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 Hulthén potential, the three-dimensional (D=3), the -wave ($l=0$) and the cases are briefly discussed.

15 pages

References in corpus (1)

• The Klein-Gordon equation with a generalized Hulthen potential in D-dimensions

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