Eigenvalue Estimates for the Aharonov-Bohm Operator in a Domain
Eigenvalue Estimates for the Aharonov-Bohm Operator in a Domain
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 Erdös, Loss and Vougalter. Numerical studies complement these results.