Clock statistics for 1d Schrodinger operators

被引：0

作者：

Chulaevsky, Victor ^{[1
]}

Nakano, Fumihiko ^{[2
]}

机构：

[1] Univ Reims, Dept Math, Reims, France

[2] Tohoku Univ, Math Inst, Tohoku, Japan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 12期

基金：

英国工程与自然科学研究理事会;

关键词：

MATRICES;

D O I：

10.1063/5.0160191

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the 1d Schrodinger operators with alloy type random supercritical decaying potential, where the random variables {omega(j)}(j is an element of Z) in the potential are either i.i.d. or more generally ones with exponentially decaying correlations. We prove the convergence to the clock process for the local statistics of eigenvalues. Moreover we prove the strong clock behavior in i.i.d. case.

引用

页数：22

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