Research PapersNo Access

SUSY SUPERPOTENTIALS FOR A CONFINED HULTHÉN POTENTIAL

Y. P. VARSHNI

Department of Physics, University of Ottawa, Ottawa, Canada K1N 6N5, Canada

https://doi.org/10.1142/S0217732304016202Cited by:12 (Source: Crossref)

Abstract

A system consisting of an ion and an electron interacting through the Hulthén potential confined in an impenetrable spherical box, with the ion at the centre is considered. Superpotential which is the crucial quantity in supersymmetric quantum mechanics is proposed for the 1s and 2p states. Variational wave functions are thence derived. Energies are calculated from these for different values of the radius of box (R) and these are compared to the exact values; good agreement is shown to exist between the two. The variational wave functions are further employed to calculate the absorption oscillator strength for the 1s→2p transition and the dipole polarizability for different values of R.

Keywords:

PACS: 03.65.Ge, 32.70.Cs, 31.70.Dk

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