Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential

Details Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential

2009-12-19

arxiv.org/abs/0912.3890v2

Int. Journal of Modern Physics E, v.19, N7, (2010) 1463-1475

Physics

Mathematical Physics

15 pages, 1 table

Scientific paper

The radial part of the Klein-Gordon equation for the Woods-Saxon potential is solved. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for any $l$ states. The exact bound state energy eigenvalues and the corresponding eigenfunctions are obtained on the various values of the quantum numbers $n$ and $l$. The non-relativistic limit of the bound state energy spectrum was also found.

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