The Quantum Mechanical Many-Body Problem and Statistical Mechanics

0139984 Lieb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，其中一些可以追溯到量子理论和统计力学的早期。该理论包括固体稳定性等经典问题，以及最近关于玻色子原子中被困气体的奇异和奇妙性质的实验进展--这些实验进展最终可能揭示如何在超小尺度上存储信息。其一是对玻色气体中玻色-爱因斯坦凝聚和超流性的理解。PI和合作者在这一领域已经取得了相当大的进展。另一个是关于理解量子电动力学的持续尝试，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，它也是最令人困惑的理论之一。PI将继续他的尝试，以调和量子电动力学与真正的多体物理学。

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.