Mathematical Sciences: Mathematical Physics

数学科学：数学物理

• 批准号: 9101715
• 负责人: Barry Simon
• 金额: $ 35.95万
• 依托单位: California Institute of Technology
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-01 至 1995-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9101715&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Physics

One of the fundamental problems in mathematical physics is that of understanding the ground-state of atoms. This project will examine this problem in three areas: (1) For a fixed atom of specific nuclear charge, an attempt will be made to understand its ground state energy, (2) There will be a study of the asymptotics of the ground state energy as the nuclear charge approaches infinity, and (3) The project will try to understand qualitative properties of large atoms such as neutrality, together with related observables, such as ionization energies. In addition, this project will include work on random Schrodinger operators, Neumann Laplacians, Scott Correction, and Coulomb scattering. This project supports a research team under the direction of Dr. Barry Simon. This project is in the general area of mathematical physics or theoretical physics and concerns the structure and behavior of atomic particles.

数学物理学中的基本问题之一是了解原子的地面。 This project will examine this problem in three areas: (1) For a fixed atom of specific nuclear charge, an attempt will be made to understand its ground state energy, (2) There will be a study of the asymptotics of the ground state energy as the nuclear charge approaches infinity, and (3) The project will tr​​y to understand qualitative properties of large atoms such as neutrality, together with related observables, such as ionization energies. 此外，该项目将包括对随机的Schrodinger操作员，Neumann Laplacians，Scott校正和库仑散射的工作。 该项目在巴里·西蒙（Barry Simon）博士的指导下支持一个研究团队。 该项目位于数学物理学或理论物理学的一般领域，涉及原子颗粒的结构和行为。