Eigenvalue estimates for the Aharonov-Bohm operator in a domain

Details Eigenvalue estimates for the Aharonov-Bohm operator in a domain Eigenvalue estimates for the Aharonov-Bohm operator in a domain

2007-10-04

arxiv.org/abs/0710.1089v1

Physics

Mathematical Physics

22 pages, 10 figures

Scientific paper

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.

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