Spectral bounds for the cutoff Coulomb potential
Mathematical Physics
2009-11-07 v1 math.MP
Abstract
The method of potential envelopes is used to analyse the bound-state spectrum of the Schroedinger Hamiltonian H = -Delta -v/(r+b), where v and b are positive. We established simple formulas yielding upper and lower energy bounds for all the energy eigenvalues.
Cite
@article{arxiv.math-ph/0201021,
title = {Spectral bounds for the cutoff Coulomb potential},
author = {Richard L. Hall and Qutaibeh D. Katatbeh},
journal= {arXiv preprint arXiv:math-ph/0201021},
year = {2009}
}
Comments
11 pages, 2 figures