Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Physics
Bound States And Energy Eigenvalues Of A Radial Screened Coulomb Potential, Eric Stachura, N. Hancock
Bound States And Energy Eigenvalues Of A Radial Screened Coulomb Potential, Eric Stachura, N. Hancock
Faculty Articles
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.