Schrödinger Operators Defined by Interval Exchange Transformations
Schrödinger Operators Defined by Interval Exchange Transformations
复制标题
由区间交换变换定义的薛定谔算子
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
Helge Krueger
中科院分区：
文献类型：
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作者：
J. Chaika;D. Damanik;Helge Krueger
我们讨论离散的一维薛定谔算子，
势由可逆遍历变换产生
紧度量空间和连续实值采样
功能我们特别注意的情况下，
变换是最小区间交换变换。
关于这些算子的谱型的结果是
确立了习特别是，我们提供了第一个例子，
相关的薛定谔算子
对于每个非常数连续的，
采样函数
We discuss discrete one-dimensional Schrodinger operators whose
potentials are generated by an invertible ergodic transformation
of a compact metric space and a continuous real-valued sampling
function. We pay particular attention to the case where the
transformation is a minimal interval-exchange transformation.
Results about the spectral type of these operators are
established. In particular, we provide the first examples of
transformations for which the associated Schrodinger operators
have purely singular spectrum for every nonconstant continuous
sampling function.