Schroedinger secant lower bounds to semirelativistic eigenvalues
数学物理
2008-11-26 v1 高能物理 - 理论
math.MP
摘要
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.
引用
@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}
}
备注
7 pages, 1 figure