关于泊松分布随机薛定谔算子态密度的渐近展开
On asymptotic expansions of the density of states for Poisson distributed random Schrödinger operators
- Friedrich Schiller University Jena（耶拿弗里德里希·席勒大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究泊松势随机薛定谔算子，推导小无序极限下预解式迹的渐近展开，证明系数极限有限，并应用于积分态密度界的推导。
AI中文摘要：
我们研究了一个势能按泊松过程分布的随机薛定谔算子。推导了在小无序极限下预解式迹的渐近展开。给出了展开系数的显式估计，并证明了当谱参数趋近自由拉普拉斯算子谱时，其无限体积极限是有限的。作为应用，我们推导了积分态密度的界。
英文摘要：
We study a random Schrödinger operator with a potential distributed according to a Poisson process. Asymptotic expansions for traces of resolvents in the limit of small disorder are derived. Explicit estimates for the expansion coefficients are given and we show that their infinite volume limits are finite as the spectral parameter approaches the spectrum of the free Laplacian. As an application we derive bounds on the integrated density of states.
