Study of a confined Hydrogen-like atom by the Asymptotic Iteration Method

Abstract

The asymptotic iteration method (AIM) is used to obtain both special exact solutions and general approximate solutions for a Hydrogen-like atom confined in a spherical box of arbitrary radius R. Critical box radii, at which states are no longer bound, are also calculated. The results are compared with those in the literature.

10 pages

References in corpus (3)

• Asymptotic iteration method for eigenvalue problems
• Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
• Asymptotic Iteration method for singular potentials

Cited by in corpus (7)

• Information-entropic measures in free and confined hydrogen atom
• Confinement in 3D polynomial oscillators through a generalized pseudospectral method
• Information-entropic measures for non-zero l states of confined hydrogen-like ions
• Quantum mechanical virial-like theorem for confined quantum systems
• Quantum confinement in 1D systems through an imaginary-time evolution method
• Information-Entropic Measures in Confined Isotropic Harmonic Oscillator
• The presence of non-analyticities and singularities in the wavefunction and the role of invisible delta potentials