具有变号单位势的几种合金型模型态密度的存在性
Existence of the density of states for some alloy type models with single site potentials of changing sign
摘要：
研究了$L^2 (\RR^d)$上遍历随机Schr dinger算子的谱性质。的状态密度示出存在的某一类合金型电位与单网站电位的变化的符号。我们证明的Wegner估计在某些附加的假设下意味着安德森局域化。作为例子，我们简要地讨论了Wegner估计证明中所用的随机耦合常数的公共密度和条件密度的一些性质。
英文摘要：
We study spectral properties of ergodic random Schrödinger operators on $L^2 (\RR^d)$. The density of states is shown to exist for a certain class of alloy type potentials with single site potentials of changing sign. The Wegner estimate we prove implies Anderson localization under certain additional assumptions. For some examples we discuss briefly some properties of the common and conditional densities of the random coupling constants used in the proof of the Wegner estimate.
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