论文标题
表面上的磁WKB结构
Magnetic WKB constructions on surfaces
论文作者
论文摘要
本文通过复杂的WKB方法专门介绍了磁性拉普拉斯的特征值和磁性laplacian的特征函数的描述。在假设磁场具有独特且非分类的最小值的假设下，我们为一般表面上的本征函数构建了局部复合物WKB近似值。此外，在欧几里得平面的情况下，具有径向对称磁场的情况，在指数的加权空间中，本征函数近似。
This article is devoted to the description of the eigenvalues and eigenfunctions of the magnetic Laplacian in the semiclassical limit via the complex WKB method. Under the assumption that the magnetic field has a unique and non-degenerate minimum, we construct the local complex WKB approximations for eigenfunctions on a general surface. Furthermore, in the case of the Euclidean plane, with a radially symmetric magnetic field, the eigenfunctions are approximated in an exponentially weighted space.
