Eigenvalue estimates for the Aharonov-Bohm operator in a domain
Mathematical Physics
2007-10-08 v1 math.MP
Abstract
We prove semi-classical estimates on moments of eigenvalues of the Aharonov-Bohm operator in bounded two-dimensional domains. Moreover, we present a counterexample to the generalized diamagnetic inequality which was proposed by Erdos, Loss and Vougalter. Numerical studies complement these results.
Cite
@article{arxiv.0710.1089,
title = {Eigenvalue estimates for the Aharonov-Bohm operator in a domain},
author = {Rupert L. Frank and Anders Hansson},
journal= {arXiv preprint arXiv:0710.1089},
year = {2007}
}
Comments
22 pages, 10 figures