Mathematical Sciences: Problems in Quantum Chaos

数学科学：量子混沌问题

• 批准号: 9404637
• 负责人: Steve Zelditch
• 金额: $ 7.5万
• 依托单位: Johns Hopkins University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-08-01 至 1997-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9404637&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Problems; Quantum; Chaos

9404637 Zelditch The research covers several topics in the general area of spectral analysis and geometry. Particular attention is to be paid to the geometry of Laplace type operators and the relationship of Schroedinger operators and stationary phase. Random walks on Lie groups studied in view of Fourier integral operators, is also to be pursued. The possible applications of this research may apply to chaotic phenomena arising in quantum dynamical systems and to other fields of current interest in mathematical physics. ***

9404637泽尔迪奇这项研究涵盖了光谱分析和几何一般领域的几个主题。特别要注意拉普拉斯算子的几何以及薛定谔算子与定态相的关系。从傅立叶积分算子的角度研究李群上的随机游动，也是值得研究的问题。这项研究的可能应用可能适用于量子动力系统中出现的混沌现象，以及目前数学物理中感兴趣的其他领域。***