Abstract
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.
Subject
General Physics and Astronomy
Reference34 articles.
1. Existence of propagators for time-dependent Coulomb-like potentials;Stachura;Rocky Mt. J. Math.,2019
2. Density functional theory for time-dependent systems;Runge;Phys. Rev. Lett.,1984
3. Coulomb Potentials and Taylor Expansions in Time-Dependent Density Functional Theory;Fournais;Phys. Rev.,2016
4. On the energy spectrum of electrons in a nonideal metal lattice;Bonchbruevich;In Soviet Physics Doklady,1959
5. The theory of electron plasma in semiconductors;Bonch-Bruevich;Soviet Phys.-Solid State,1960
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