Mathematical Sciences: Quantum Integrable Systems

数学科学：量子可积系统

• 批准号: 9322614
• 负责人: John Toth
• 金额: $ 5.34万
• 依托单位: Harvard University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9322614&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Quantum; Integrable; Systems

9322614 Toth The project involves the study of the classical and semi- classical spectral asymptotics for the C. Neumann problem and geodesic flows on the ellipsoid. In addition, connections between the generalized asymmetric topology and the theory of geodesic flows will be investigated. This project lies at the interface between analysis and geometry. The problems are naturally related to fluid flow in a manifold and important problems of acoustic scattering. The techniques involved cover a wide spectra from classical function theory to the latest results from the geometry of group actions. ***

小行星9322614 本项目主要研究C. Neumann问题和 椭球面上的测地线流此外，还讨论了广义非对称拓扑与测地线理论之间的联系 将对流量进行调查。 这个项目是在分析和几何之间的接口。这些问题自然涉及到流体流动的歧管和声散射的重要问题。所涉及的技术涵盖了广泛的光谱从经典函数理论的最新成果，从几何的群体行动。 ***