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arXiv · 0912.3890

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

V. H. Badalov·H. I. Ahmadov·S. V. Badalov
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Abstract

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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V. H. Badalov, H. I. Ahmadov, S. V. Badalov. 2009-12-19. Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential. https://doi.org/10.1142/s0218301310015862

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