Eigenvalue estimates for the Aharonov-Bohm operator in a domain

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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

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Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/139389

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.1089
 http://arxiv.org/abs/0710.1089

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arXiv