This paper is devoted to semiclassical estimates of the eigenvalues of the Pauli operator on a bounded open set with Dirichlet conditions on the boundary. 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 Segal–Bargmann and Hardy spaces associated with the magnetic field.

中文翻译：

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关于 Dirichlet-Pauli 算子的半经典谱

本文致力于在边界上具有狄利克雷条件的有界开集上泡利算子的特征值的半经典估计。假设磁场是正的和一些通用条件，我们建立了特征值的简单性，并提供了准确的渐近估计，涉及与磁场相关的 Segal-Bargmann 和 Hardy 空间。