标题： 狄利克雷-泡利算子在环形区域上的半经典谱 显示英文标题

标题： Semiclassical spectrum of the Dirichlet-Pauli operator on an annulus

摘要： 本文致力于对环形区域上的狄利克雷-保罗 operator 谱的半经典分析。 我们假设磁场严格为正且径向对称。 我们在半经典极限下给出了该 operator 最低特征值的第一个阶的显式渐近展开式。 特别是，我们展示了阿哈罗诺夫-玻姆效应，该效应在赫尔弗和桑德奎斯特最近的一篇论文中对于常数磁场已被揭示。 显示英文摘要

摘要： This paper is devoted to the semiclassical analysis of the spectrum of the Dirichlet-Pauli operator on an annulus. We assume that the magnetic field is strictly positive and radial. We give an explicit asymptotic expansion at the first order of the lowest eigenvalues of this operator in the semiclassical limit. In particular, we exhibit the Aharonov-Bohm effect that has been revealed, for constant magnetic field, in a recent paper by Helffer and Sundqvist.