On the semiclassical spectrum of the Dirichlet-Pauli operator

10/08/2018

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by   Jean-Marie Barbaroux, et al.

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This paper is devoted to semiclassical estimates of the eigenvalues of the Pauli operator on a bounded open set whose boundary carries Dirichlet conditions. Assuming that the magnetic field is positive and a few generic conditions, we establish the simplicity of the eigenvalues and provide accurate asymptotic estimates involving Bergman-Hardy spaces associated with the magnetic field.