Scholarlink

<p>We establish quantum dynamical upper bounds for quasi-periodic Schrödinger operators with Liouville frequencies. Our approach combines semi-algebraic discrepancy estimates for the Kronecker sequence <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\{n\alpha \}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">{</mo> <mi>n</mi> <mi>α</mi> <mo stretchy="false">}</mo> </mrow> </math></EquationSource> </InlineEquation> with quantitative Green’s function estimates adapted to the Liouville setting.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年4月29日

查看全文
  • Matthew Bradshaw,
  • Titus de Jong,
  • Wencai Liu,
  • Audrey Wang,
  • Xueyin Wang,
  • Bingheng Yang

摘要

We establish quantum dynamical upper bounds for quasi-periodic Schrödinger operators with Liouville frequencies. Our approach combines semi-algebraic discrepancy estimates for the Kronecker sequence \(\{n\alpha \}\) { n α } with quantitative Green’s function estimates adapted to the Liouville setting.