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Polyas conjecture in the presence of a constant magnetic field

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 نشر من قبل Rupert Frank
 تاريخ النشر 2007
  مجال البحث فيزياء
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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 Polyas conjecture is not true in the presence of a magnetic field.



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