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

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...

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Bibliographic Details
Published in:arXiv.org 2011-11
Main Authors: Badalov, V H, Ahmadov, H I
Format: Article
Language:English
Subjects:
Eigenvalues
Eigenvectors
Exact solutions
Mathematical analysis
Quantum numbers
Schrodinger equation
Online Access:Get full text
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Summary: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.
ISSN:2331-8422