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

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