Polya's conjecture in the presence of a constant magnetic field
classification
🧮 math-ph
math.MP
keywords
fieldmagneticconjectureconstantpolyapresenceconsiderconstants
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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.
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