Polya's conjecture in the presence of a constant magnetic field

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We consider the Dirichlet Laplacian with a constant magnetic field in a two-dimensional domain of finite measure. We determine the sharp constants in semi-classical eigenvalue estimates and show, in particular, that Polya's conjecture is not true in the presence of a magnetic field.
15 pages

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Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/139348

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.1078
 http://arxiv.org/abs/0710.1078

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arXiv