Mathematical Sciences: Spectral Properties of Many-Particle Schrodinger Operators

数学科学：多粒子薛定谔算子的谱性质

• 批准号: 8808032
• 负责人: Israel Sigal
• 金额: $ 2.83万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1991-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8808032&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Spectral; Properties; Many

This project is research in mathematical physics. It will focus on the study of spectral properties of Schroedinger operators for systems consisting of many particles. Though Schroedinger operators have been the subject of intensive mathematical research for many years, the many-body case appeared out of reach until recently. Exploiting new developments in this area, Professor Sigal will investigate scattering theory, the spectrum of large atoms and ions, the instability of negative ions, and resonances in atoms and molecules.

这个项目是关于数学物理的研究。它将 重点研究了薛定谔的光谱性质 由许多粒子组成的系统的算子。 虽然 Schroedinger算子一直是深入研究的主题。 经过多年的数学研究，出现了多体情况 遥不可及直到最近。 利用这方面的新发展 面积，教授西格尔将研究散射理论， 光谱的大原子和离子，不稳定的负 离子和原子分子的共振。