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

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

2009-05-17

arxiv.org/abs/0905.2731v1

Int.J.Mod.Phys.E18, No 3, 631-641 (2009)

Physics

Mathematical Physics

14 pages

Scientific paper

In this work, the analytical solution of the radial Schr\"{o}dinger equation for the Woods-Saxon potential 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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