论文标题
安德森·哈密顿(Anderson Hamiltonian)的韦尔法律
Weyl law for the Anderson Hamiltonian on a two-dimensional manifold
论文作者
论文摘要
我们使用高阶paracontroll cyculus在二维流形上定义了安德森·哈密顿h h。它是具有纯点光谱的自动接合操作员。我们在其特征值上获得了较低和上限,这意味着H.几乎可以确定Weyl型法律。
We define the Anderson Hamiltonian H on a two-dimensional manifold using high order paracontrolled calculus. It is a self-adjoint operator with pure point spectrum. We get lower and upper bounds on its eigenvalues which imply an almost sure Weyl-type law for H.