Negative eigenvalues of two-dimensional Schr\"{o}dinger operators
Analysis of PDEs
2012-04-20 v2 Mathematical Physics
math.MP
Abstract
We prove a certain upper bound for the number of negative eigenvalues of the Schr\"{o}dinger operator on the plane.
Cite
@article{arxiv.1112.4986,
title = {Negative eigenvalues of two-dimensional Schr\"{o}dinger operators},
author = {Alexander Grigor'yan and Nikolai Nadirashvili},
journal= {arXiv preprint arXiv:1112.4986},
year = {2012}
}