Improved Berezin-Li-Yau inequalities with magnetic field
Spectral Theory
2016-04-18 v1 Mathematical Physics
math.MP
Abstract
In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Li-Yau bound in the presence of a constant magnetic field.
Keywords
Cite
@article{arxiv.1307.7091,
title = {Improved Berezin-Li-Yau inequalities with magnetic field},
author = {Hynek Kovarik and Timo Weidl},
journal= {arXiv preprint arXiv:1307.7091},
year = {2016}
}