论文标题
dirichlet-pauli操作员的半经典光谱
Semiclassical spectrum of the Dirichlet-Pauli operator on an annulus
论文作者
论文摘要
本文致力于对dirichlet-pauli操作员在网状上的频谱的半经典分析。我们假设磁场是严格的正和径向。我们在该操作员的最低特征值的一阶中给出了明确的渐近扩展。特别是，我们在Helffer和Sundqvist最近的一篇论文中表现出了Aharonov-Bohm的效应，该效应已显示出恒定磁场。
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.
