论文标题
半经典bochner laplacian的光谱渐近学，具有恒定等级曲率的线束
Spectral asymptotics for the semiclassical Bochner Laplacian of a line bundle with constant rank curvature
论文作者
论文摘要
本文的目的是很多。首先，我们想对Bochner Laplacian进行简短的介绍，并解释为什么它在本地充当磁性拉普拉斯人。其次，考虑到一个限制磁场，我们使用类似Agmon的估计值将其光谱研究降低为磁性laplacians，以半经典极限。最后，我们用它将磁拉曲霉素的已经知道的光谱渐近学转化为Bochner laplacian。
The goal of this paper is manyfold. Firstly, we want to give a short introduction to the Bochner Laplacian and explain why it acts locally as a magnetic Laplacian. Secondly, given a confining magnetic field, we use Agmon-like estimates to reduce its spectral study to magnetic Laplacians, in the semiclassical limit. Finally, we use this to translate already-known spectral asymptotics for the magnetic Laplacian to the Bochner Laplacian.
