Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2018-07-26 DOI:10.4171/JFG/68

P. Munger

引用次数: 4

Abstract

We prove estimates on the Hölder exponent of the density of states measure for discrete Schrödinger operators with potential of the form V (n)= λ (b(n+1)βc−bnβc), with λ large enough, and conclude that for almost all values of β , the density of states measure is not Hölder continuous.

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准周期Schrödinger算子Hölder连续性的频率依赖性

我们证明了V（n）=λ（b（n+1）βc−bnβc）形式的离散Schrödinger算子的态密度测度的Hölder指数的估计，其中λ足够大，并得出结论，对于几乎所有的β值，态密度测度都不是Hölder连续的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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