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


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Bayrak O. , Kocak G. , Boztosun İ.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.39, ss.11521-11529, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 37
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1088/0305-4470/39/37/012
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.11521-11529

Özet

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.
In this paper, we present the analytical solution of the radial Schr¨odinger
equation for the Hulth´en 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 δ values. In order to demonstrate this, the results of the asymptotic
iterationmethod are compared with the results of the supersymmetry, numerical
integration, variational and shifted 1/N expansion methods.