Analytical solutions of the $D$-dimensional Schrödinger equation with the Woods-Saxon potential for arbitrary $l$ state

Details Analytical solutions of the $D$-dimensional Schrödinger equation with the Woods-Saxon potential for arbitrary $l$ state Analytical solutions of the $D$-dimensional Schrödinger equation with the Woods-Saxon potential for arbitrary $l$ state

2011-11-21

arxiv.org/abs/1111.4734v1

Physics

Mathematical Physics

13 pages. arXiv admin note: substantial text overlap with arXiv:0905.2731 and arXiv:0912.3890v2

Scientific paper

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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