Spectral bounds for the Hellmann potential
Mathematical Physics
2009-11-07 v2 math.MP
Abstract
The method of potential envelopes is used to analyse the bound state spectrum of the Schroedinger Hamiltonian H=-\Delta+V(r), where the Hellmann potential is given by V(r) = -A/r + Be^{-Cr}/r, A and C are positive, and B can be positive or negative. We established simple formulas yielding upper and lower bounds for all the energy eigenvalues.
Cite
@article{arxiv.math-ph/0107015,
title = {Spectral bounds for the Hellmann potential},
author = {Richard L. Hall and Qutaibeh D. Katatbeh},
journal= {arXiv preprint arXiv:math-ph/0107015},
year = {2009}
}
Comments
9 pages, 2 figures, typos corrected