The Quantum Mechanical Many-Body Problem and Statistical Mechanics

[01:99 . 84]对许多粒子，例如原子的相互作用的理解，提出了重要的物理和数学问题，其中一些可以追溯到早期的量子理论和统计力学。该理论涵盖了诸如固体稳定性等经典主题，以及最近关于玻色子原子捕获气体奇异而奇妙的特性的一些实验进展——这可能最终会为如何在超小尺度上存储信息提供启示。在这个项目的主题中，有两个特别突出。一个是对玻色-爱因斯坦凝聚和玻色气体中的超流动性的理解。在PI和合作者之前的资助下，这一领域已经取得了相当大的进展。另一个是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精确的物理理论之一，但由于其内部的不一致性，它是最令人困惑的。PI将继续尝试调和量子电动力学和真正的多体物理学。

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.