Spectral theory and resonance for Schrodinger operators

薛定谔算子的谱理论和共振

• 批准号: 92997-2010
• 负责人: Froese, Richard
• 金额: $ 1.46万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=451208
• 关键词: Spectral; theory; resonance; Schrodinger; operators

My research is about spectral and scattering theory of Schrödinger Operators, and related topics in PDE and Geometry. In recent years I have focused on proving the existence of absolutely continuous spectrum for discrete Schrödinger operators whose behavior at infinity is irregular. The primary examples of such operators are Schrödinger operators with random potentials.

我的研究是关于薛定谔算子的谱和散射理论，以及偏微分方程和几何中的相关主题。近年来，我专注于证明离散薛定谔算子的绝对连续谱的存在性，这些算子在无穷远处的行为是不规则的。算子是具有随机势的薛定谔算子。