A lower bound for the number of negative eigenvalues of Schr\"{o}dinger operators
Differential Geometry
2014-06-03 v1
Abstract
We prove a lower bound for the number of negative eigenvalues for a Schr\"{o}dinger operator on a Riemannian manifold via the integral of the potential.
Keywords
Cite
@article{arxiv.1406.0317,
title = {A lower bound for the number of negative eigenvalues of Schr\"{o}dinger operators},
author = {Alexander Grigor'yan and Nikolai Nadirashvili and Yannick Sire},
journal= {arXiv preprint arXiv:1406.0317},
year = {2014}
}