Eigenvalue estimates for the Aharonov-Bohm operator in a domain
arXiv:0710.1089
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.
22 pages, 10 figures