Caught by Disorder: Bound States in Random Media

Caught by Disorder: Bound States in Random Media
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陷入无序:随机介质中的束缚态

DOI:
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发表时间:
2001
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通讯作者:
P. Stollmann
P. Stollmann
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作者:
P. Stollmann

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约束状态与扩展状态遍历算子族-定义和抽象理论一些重要的例子我们的基本模型(P+A)和(DIV)本地化和Lifshitz尾巴-启发式图片Lifshitz尾巴(P+A)初始长度尾部估计韦格纳估计Combes-Thomas估计改变立方体想法的证明本地化和历史笔记多标度分析指数局部化动力局部化更多模型附录-自伴算子的一个小故事后记。
Bound states versus extended states ergodic operator families - definition and abstract theory some important examples our basic models (P+A) and (DIV) localization and Lifshitz tails -the heuristic picture Lifshitz tails for (P+A) initial length tail estimates Wegener estimates Combes-Thomas estimates changing cubes idea of the proof of localization and historical notes multi-scale analysis exponential localization dynamical localization more models appendix - a short story of selfadjoint operators aftermath.