On a class of random Schrödinger operators
On a class of random Schrödinger operators
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关于一类随机薛定谔算子
DOI：
10.1016/0196-8858(85)90010-7
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发表时间：
1985
影响因子：
1.1
通讯作者：
W. Kirsch
中科院分区：
文献类型：
--
作者：
W. Kirsch
考虑的是 L 2 (R d) 上的随机薛定谔算子，它们相对于格来说是静止的且度量传递的，例如，H= H 0+ V ω ，其中 V ω (x)= Σ i ϵ z d q i (ω) f (x− x i),{q i} 独立同分布。提出了一种继承关于 R d 具有度量传递势的情况的结果的方法。这些结果包括Thouless公式和Kotani的理论。
Considered are random Schrödinger operators on L 2 (R d) that are stationary and metrically transitive with respect to a lattice eg, H= H 0+ V ω with V ω (x)= Σ i ϵ z d q i (ω) ƒ (x− x i),{q i} independent identically distributed. A method of carrying over results from the case of potentials metrically transitive with respect to R d is presented. Among these results are the Thouless formula and Kotani's theory.