Theoretical and Mathematical Physics

理论与数学物理

• 批准号: 9605226
• 负责人: Vladimir Korepin
• 金额: $ 18万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-08-01 至 2001-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9605226&HistoricalAwards=false
• 关键词: Theoretical; Mathematical; Physics

The project study involves exactly solvable models of statistical mechanics and condensed matter. Many important phenomena in physics can be described by low dimensional models. Strongly correlated electrons provide an important example. The project study involves the Hubbard model, quantum spin chains, Sine-Gordon and Bose gas with delta interaction (Nonlinear Schroedinger equation) in one space and one time dimensions. Quantum fluctuations are strong in one dimension, so it is difficult to understand physics without exact solutions. The main objective of the project is to calculate form factors and correlation functions of the models. Especially interesting are time and temperature dependent correlation functions and form factors of non- relativistic models.

该项目研究涉及统计力学和凝聚态的精确可解模型。物理学中的许多重要现象都可以用低维模型来描述。强关联电子提供了一个重要的例子。项目研究涉及一维空间和一维时间中的Hubbard模型、量子自旋链、具有Delta相互作用的Sine-Gordon和Bose气体(非线性薛定谔方程)。量子涨落在一维上很强，所以如果没有精确的解，就很难理解物理学。该项目的主要目标是计算模型的形状因数和相关函数。特别有趣的是依赖于时间和温度的关联函数和非相对论模型的形状因子。