论文标题
低能的共振和多粒子定位
Resonances and multi-particle localization at low energy
论文作者
论文摘要
我们使用新的特征值浓度结合了多粒子安德森模型中随机实势的样品平均值的波动，并证明了光谱指数和强动力学定位。结果只需要在样品的分布函数上有些较弱的条件，包括大量的概率分布，例如Log-Hölder连续或Lipshitz连续。该方法还适用于I.I.D.随机高斯电势具有独立波动。
We use a new eigenvalue concentration bound for the fluctuation of the sample mean of the random extternal potential in the multi-particle Anderson model and prove the spectral exponential and the strong dynamical localization. The results just need some weaker condition on the distribution function of the sample including a large class of probability distribution such as log-Hölder continuous or Lipshitz continuous. The method also apply to i.i.d. random Gaussian potential with independent fluctuations.
