Title
Bound states and energy eigenvalues of a radial screened coulomb potential
Department
Mathematics
Document Type
Article
Publication Date
1-1-2021
Abstract
We analyze bound states and other properties of solutions of a radial Schrödinger equation with a new screened Coulomb potential. In particular, we employ hypervirial relations to obtain eigen-energies for a Hydrogen atom with this potential. Additionally, we appeal to a sharp estimate for a modified Bessel function to estimate the ground state energy of such a system. Finally, when the angular quantum number ℓ ≠ 0, we obtain evidence for a critical screening parameter, above which bound states cease to exist.
Journal Title
Journal of Physics Communications
Volume
5
Issue
6
Digital Object Identifier (DOI)
10.1088/2399-6528/abfff8
COinS