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ANALYTICAL SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE WOODS–SAXON POTENTIAL FOR ARBITRARY l STATE

Institute for Physical Problems, Baku State University, Z. Khalilov St. 23, AZ-1148 Baku, Azerbaijan

Department of Mathematical Physics, Faculty of Applied Mathematics and Cybernetics, Baku State University, Z. Khalilov St. 23, AZ-1148 Baku, Azerbaijan

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A. I. AHMADOV

Institute for Physical Problems, Baku State University, Z. Khalilov St. 23, AZ-1148 Baku, Azerbaijan

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https://doi.org/10.1142/S0218301309012756Cited by:55 (Source: Crossref)

Abstract

In this work, the analytical solution of the radial Schrödinger 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.

Keywords:

PACS: 03.65.Ge

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