论文标题
3D Neumann Laplacian的半经典光谱间隙，具有恒定磁场
Semiclassical spectral gaps of the 3D Neumann Laplacian with constant magnetic field
论文作者
论文摘要
本文介绍了在第三维的光滑界面域上半经典的neumann磁拉曲板的光谱分析。当磁场是恒定的并且在半经典极限中时，我们建立了低洼特征值的四项渐近膨胀，涉及沿该域方向沿该域的明显轮廓的几何量。特别是，我们证明它们很简单。
This article deals with the spectral analysis of the semiclassical Neumann magnetic Laplacian on a smooth bounded domain in dimension three. When the magnetic field is constant and in the semiclassical limit, we establish a four-term asymptotic expansion of the low-lying eigenvalues, involving a geometric quantity along the apparent contour of the domain in the direction of the field. In particular, we prove that they are simple.
