Mathematical Sciences: Mathematical Physics

这是一个数学物理方面的研究项目。主要的焦点是薛定谔算子，这是在微观水平上物理系统建模的基础。特别是，西蒙教授将研究随机薛定谔算子，其中的潜在项（通常是位置的函数）是一个随机过程。他和Avron教授还将使用薛定谔算符来构建通过网络的通量理论。在数学物理中出现的各种拓扑问题，例如关于具有非退化特征值的厄米矩阵的集合，将被攻击。

This is a research project in mathematical physics. The main focus is on Schroedinger operators, which are basic to the modelling of physical systems at the microscopic level. In particular, Professor Simon will investigate random Schroedinger operators, in which the potential term (normally a function of position) is a stochastic process. He and Professor Avron will also use Schroedinger operators in constructing a theory of flux through networks. Various topological problems that have arisen in mathematical physics, e.g. concerning the set of hermitian matrices with nondegenerate eigenvalues, will be attacked.