Improved Berezin—Li—Yau inequalities with magnetic field
Published online by Cambridge University Press: 30 January 2015
Abstract
In this paper we study the eigenvalue sums of Dirichlet Laplacians on bounded domains. Among our results we establish an improvement of the Berezin bound and of the Li—Yau bound in the presence of a constant magnetic field previously obtained by Erdős et al. and Melas.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 145 , Issue 1 , February 2015 , pp. 145 - 160
- Copyright
- Copyright © Royal Society of Edinburgh 2015
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