Any l-state solutions of the Hulthen potential by the asymptotic iteration method

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Bayrak O., Kocak G., Boztosun I.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.39, no.37, pp.11521-11529, 2006 (SCI-Expanded) identifier identifier


In this paper, we present the analytical solution of the radial Schrodinger equation for the Hulthen potential within the framework of the asymptotic iteration method by using an approximation to the centrifugal potential for any l states. We obtain the energy eigenvalues and corresponding eigenfunctions for different screening parameters. The wavefunctions are physical and energy eigenvalues are in good agreement with the results obtained by other methods for different delta values. In order to demonstrate this, the results of the asymptotic iteration method are compared with the results of the supersymmetry, numerical integration, variational and shifted 1/N expansion methods.