Schroedinger secant lower bounds to semirelativistic eigenvalues
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
Abstract
It is shown that the ground-state eigenvalue of a semirelativistic Hamiltonian of the form H = sqrt(m^2+p^2) + V is bounded below by the Schroedinger operator m + beta p^2 + V, for suitable beta > 0. An example is discussed.
Keywords
Cite
@article{arxiv.math-ph/0702047,
title = {Schroedinger secant lower bounds to semirelativistic eigenvalues},
author = {Richard L. Hall and Wolfgang Lucha},
journal= {arXiv preprint arXiv:math-ph/0702047},
year = {2008}
}
Comments
7 pages, 1 figure