Constructive many body theory

构造性多体理​​论

• 批准号: 3121-2006
• 负责人: Feldman, Joel
• 金额: $ 2.91万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2008
• 资助国家: 加拿大
• 起止时间: 2008-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=388707
• 关键词: Constructive; many; body; theory

I expect to spend the next few years working primarily on the rigorous construction and analysis of various classes of models used in condensed matter physics. Modern mathematical models used to study the behaviour of large systems of particles (like crystals) at low temperatures are so complex that, in practice, it is only possible to make predictions based on them by introducing radical approximations. My research  attempts to make a sufficiently thorough analysis of the models to be able to judge the validity of the approximations.

我希望在接下来的几年里主要致力于凝聚态物理学中使用的各种模型的严格构建和分析。用于研究大型粒子系统（如晶体）在低温下的行为的现代数学模型非常复杂，以至于在实践中，只有通过引入激进的近似才有可能基于它们进行预测。我的研究试图对模型进行充分彻底的分析，以便能够判断近似值的有效性。