Quantum dynamical bounds for long-range operators with skew-shift potentials

IF 1.6 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2026-05-01 Epub Date: 2026-01-23 DOI:10.1016/j.jfa.2026.111378

Wencai Liu , Matthew Powell , Xueyin Wang

引用次数: 0

Abstract

We employ Weyl's method and Vinogradov's method to analyze skew-shift dynamics on semi-algebraic sets. Consequently, we improve the quantum dynamical upper bounds of Jitomirskaya-Powell, Liu, and Shamis-Sodin for long-range operators with skew-shift potentials.

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具有斜移势的远程算符的量子动力学界

采用Weyl方法和Vinogradov方法分析了半代数集上的偏移动力学。因此，我们改进了Jitomirskaya-Powell， Liu和Shamis-Sodin对于具有斜移势的远程算子的量子动力学上界。

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

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis