Mathematical Sciences: Statistical Mechanics of Disordered Systems & Conformal Field Theory

数学科学：无序系统的统计力学

• 批准号: 9205296
• 负责人: Antii Kupiainen
• 金额: $ 13.27万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-06-01 至 1996-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9205296&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Statistical; Mechanics; Disordered

Kupiainen will continue his investigations of the statistical mechanics of disordered systems. The purpose of this program is to develop exact renormalization group methods to the study of a wide variety of such systems. These include classical systems of the Lorentz gas type and lattice versions thereof as well as diffusion in quantum systems. He will also continue his research in conformal field theory, centered around the WZW model. Modern physics, quantum mechanics and relativity, is a product of the twentieth century. It is founded firmly in the last century's attempt to address the microstructure of matter and to come to grips with the concepts of action-at-a distance, electro-magnetism, and heat radiation. The mathematical foundations for these developments, collectively called mathematical physics, ranges from detailed analysis of Schroedinger operators, which governs the dynamics of particles, to unified field theory, which attempts to unite the four known forces into a single theory.

库皮艾宁将继续调查 无序系统的统计力学 这样做的目的 程序是开发精确的重整化群方法， 研究各种各样的系统。 其中包括古典 洛伦兹气体类型的系统及其晶格形式， 以及量子系统中的扩散 他还将继续他的 共形场理论的研究，以WZW为中心 模型 现代物理学，量子力学和相对论，是一个 二十世纪的产物。 它牢固地建立在 上世纪人们试图研究物质的微观结构 并掌握远距离行动的概念， 电磁和热辐射。 数学 这些发展的基础，统称为 数学物理，范围从详细分析 薛定谔算子，控制着粒子的动力学， 统一场论，试图统一四个已知的 形成一个单一的理论。