Localization near fluctuation boundaries via fractional moments and applications
Localization near fluctuation boundaries via fractional moments and applications
复制标题
通过分数矩和应用程序在波动边界附近进行定位
DOI：
10.1007/bf02916756
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
Gunter Stolz
中科院分区：
文献类型：
--
作者：
A. B. D. Monvel;S. Naboko;P. Stollmann;Gunter Stolz
我们提出了一个简短的，新的，自包含的多维连续随机薛定谔算子的波动边界制度的本地化性质的证明。我们的方法是基于最近在[2]中将分数阶矩方法推广到连续模型，但不要求随机势满足覆盖条件。随机表面电位和电位与随机位移的应用。
We present a short, new, self-contained proof of localization properties of multi-dimensional continuum random Schödinger operators in the fluctuation boundary regime. Our method is based on the recent extension of the fractional moment method to continuum models in [2] but does not require the random potential to satisfy a covering condition. Applications to random surface potentials and potentials with random displacements are included.