Studies of Model Systems in Statistical Mechanics and Quantum Field Theory

统计力学和量子场论模型系统的研究

• 批准号: 9703543
• 负责人: Barry McCoy
• 金额: $ 25.8万
• 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: 1997-06-15 至 2000-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9703543&HistoricalAwards=false
• 关键词: Studies; Model; Systems; Statistical; Mechanics

9703543 McCoy This grant to a senior, distinguished mathematical physicist is to support research in statistical mechanics. His contributions to exact solutions are widely known. In a two pronged attack, he is planning to study the integrability conditions of a given problem and also look for insights into non-integrable problems. In particular, he is examining the properties of time dependent correlation functions of integrable spin XXZ chains, of the energy spectra of conformal models in 2-d, i.e. the features which are important in the study of fractional statistics, theory of combinatorics and the mathematical study of q-series and the Rogers-Ramanujan identities. In non-integrable systems, the project includes a study of the Ising model in a nonzero magnetic field and ZN symmetric spin chains. %%% This grant to a senior, distinguished mathematical physicist is to support research in statistical mechanics. More specifically, this PI is well known for his contributions to several exactly solvable problems. He will continue his search for exact solutions. He will also continue to look for some understanding of what makes a problem exactly solvable (also called integrable). Finally he is planning to consider ways of applying the insights gained from exact solutions to cases where exact solutions are either not known and perhaps are not possible. ***

9703543麦考伊这批高级，杰出的数学物理学家是支持统计力学的研究。 他对精确解的贡献是众所周知的。 在双管齐下的攻击中，他计划研究给定问题的可积性条件 同时也寻找对不可积问题的见解。 特别是，他正在研究的性质，时间依赖的相关函数的可积自旋 XXZ链，二维共形模型的能谱，即在分数阶统计研究、组合数学理论、q-级数的数学研究和Rogers-Ramanujan恒等式中具有重要意义的特征。在不可积系统中，该项目包括研究非零磁场中的伊辛模型和ZN对称自旋链。 这一补助金的高级，杰出的数学物理学家是支持统计力学的研究。 更具体地说，这个PI是众所周知的，他的贡献，几个完全可解决的问题。 他将继续寻找精确的解决方案。 他还将继续寻找一些理解是什么使一个问题完全可解（也称为可积）。 最后，他正计划考虑如何应用的见解，从确切的解决方案的情况下，确切的解决方案是未知的，也许是不可能的。 ***