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

Abstract

In this article, we present the analytical solution of the radial Schrödinger equation for the Hulthén 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 the corresponding eigenfunctions for different screening parameters. The wave functions 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, the numerical integration, the variational and the shifted 1/N expansion methods.

14 pages and 1 figure

References in corpus (2)

• Arbitrary l-state solutions of the rotating Morse potential by the asymptotic iteration method
• Asymptotic Iteration Method Solutions to the Relativistic Duffin-Kemmer-Petiau Equation

Cited by in corpus (12)

• An improved approximation scheme for the centrifugal term and the Hulthen potential
• Analytical solutions of the Bohr Hamiltonian with the Morse potential
• Thermal Properties of Deng-Fan-Eckart Potential model using Poisson Summation Approach
• The Klein-Gordon equation with a generalized Hulthen potential in D-dimensions
• Any l-state improved quasi-exact analytical solutions of the spatially dependent mass Klein-Gordon equation for the scalar and vector Hulthen potentials
• Bound states of the Klein-Gordon equation for vector and scalar general Hulthen-type potentials in D-dimension
• Analytical Solutions Of The Schrödinger Equation For The Hulthén Potential Within SUSY Quantum Mechanics
• Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
• Characteristic modes of thick brane model: resonances and quasinormal modes
• Bohr Hamiltonian with Hulthen plus ring-shaped potential for triaxial nuclei with deformation-dependent mass term
• Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-Hulthén potential model