Analytical solutions of the $D$-dimensional Schr\"{o}dinger equation with the Woods-Saxon potential for arbitrary $l$ state
Mathematical Physics
2011-11-22 v1 math.MP
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 states. The bound state energy eigenvalues and corresponding eigenfunctions are obtained for various values of and quantum numbers.
Keywords
Cite
@article{arxiv.1111.4734,
title = {Analytical solutions of the $D$-dimensional Schr\"{o}dinger equation with the Woods-Saxon potential for arbitrary $l$ state},
author = {V. H. Badalov and H. I. Ahmadov},
journal= {arXiv preprint arXiv:1111.4734},
year = {2011}
}
Comments
13 pages. arXiv admin note: substantial text overlap with arXiv:0905.2731 and arXiv:0912.3890v2