The Quantum Mechanical Many-Body Problem and Statistical Mechanics

量子力学多体问题与统计力学

• 批准号: 0139984
• 负责人: Elliott Lieb
• 金额: $ 56.1万
• 依托单位: Princeton University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2002
• 资助国家: 美国
• 起止时间: 2002-05-15 至 2008-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0139984&HistoricalAwards=false
• 关键词: Quantum; Mechanical; Many; Body; Problem

0139984LiebThe understanding of the interaction of many particles, e.g., atoms,raises significant physical and mathematical questions, some of which go back to the early days of quantum theory and statistical mechanics. The theory encompasses such classical subjects as the stability of solids as well as some very recent experimental developments on the strange and wonderful properties of trapped gases of bosonic atoms -- which might eventually shed light on how to store information on ultra-small scales.Among the topics in this project two stand out for particularemphasis. One is the understanding of Bose-Einstein condensation andsuperfluidity in Bose gases. Considerable progress in this area hasalready been made in previous grants by the PI and collaborators. Theother concerns ongoing attempts to understand quantum electrodynamicswhich continues to be one of the most accurate physical theories, yetone of the most puzzling because of its internal inconsistencies. The PI will continue his attempts to reconcile quantum electrodynamics with true many-body physics.

对许多粒子相互作用的理解，例如原子，提出了重要的物理和数学问题，其中一些问题可以追溯到量子理论和统计力学的早期。该理论包括固体的稳定性等经典主题，以及玻色原子囚禁气体奇怪而奇妙的性质的一些最新实验进展--这最终可能会揭示如何在超小范围内存储信息。在这个项目中，有两个主题特别突出。一个是对玻色-爱因斯坦凝聚和玻色气体中超流的理解。在这方面，国际和平基金会和合作者以前的赠款已经取得了相当大的进展。另一个是关于正在进行的理解量子电动力学的尝试，量子电动力学仍然是最准确的物理理论之一，但由于其内部的不一致，这也是最令人困惑的理论之一。PI将继续努力使量子电动力学与真正的多体物理相协调。