论文标题
半古典限制的分析本征
Analytic eigenbranches in the semi-classical limit
论文作者
论文摘要
我们考虑一个在封闭的歧管上的一个laplacians的一个参数家族，并研究其分析参数化特征值的半古典限制。我们的结果类似于Luc Hillairet在Euclidean空间上的标量Schrödinger操作员定理的结果，并应用于Witten的Laplacian与Morse功能相关的几何操作员。
We consider a one parameter family of Laplacians on a closed manifold and study the semi-classical limit of its analytically parametrized eigenvalues. Our results are analogous to a theorem for scalar Schrödinger operators on Euclidean space by Luc Hillairet and apply to geometric operators like Witten's Laplacian associated with a Morse function.
