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arXiv · 1111.4734

Analytical solutions of the $D$-dimensional Schr\"{o}dinger equation with the Woods-Saxon potential for arbitrary $l$ state

V. H. Badalov·H. I. Ahmadov
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Abstract

In this work, the analytical solution of the hyper-radial Schr\"{o}dinger equation for the spherical Woods-Saxon potential in D dimensions is presented. In our calculations, we have applied the Nikiforov-Uvarov method by using the Pekeris approximation to the centrifugal potential for arbitrary $l$ states. The bound state energy eigenvalues and corresponding eigenfunctions are obtained for various values of $n$ and $l$ quantum numbers.

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V. H. Badalov, H. I. Ahmadov. 2011-11-21. Analytical solutions of the $D$-dimensional Schr\"{o}dinger equation with the Woods-Saxon potential for arbitrary $l$ state. https://arxiv.org/abs/1111.4734

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