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Schrödinger操作员的光谱和散射理论，以及PDE和几何学的相关主题。近年来，我专注于为离散的Schrödinger运营商提供绝对连续的光谱，其无限行为是不规则的。此类运营商的主要例子是具有随机电势的Schrödinger操作员。