Itinerant Electrons in Solids and other Quantum Systems

固体中由电子之间和电子与离子之间的相互作用引起的集体现象将被研究。数值模拟技术将被使用，以及其他更标准的技术。一个重要的研究领域将是高温超导体的模型。我们将密切关注实验结果提供的线索。其他研究领域将包括低维量子磁性、磁性杂质系统和重费米子系统的模型。关于蒙特卡罗方法的方法学问题也将讨论。将蒙特卡罗结果与正在使用的各种近似分析方法的预测进行比较，将提供有关这些方法有效性范围的信息。

Collective phenomena in solids arising from the interaction between electrons and between electrons and ions will be studied. Numerical simulation techniques will be used as well as other more standard techniques. One important area of study will be models for high temperature superconductors. Close attention will be paid to clues provided by experimental results. Other areas of study will include models for low-dimensional quantum magnetism, magnetic impurity systems and heavy fermion systems. Methodological questions concerning Monte Carlo methods will also be addressed. Comparison of Monte Carlo results with predictions of various approximate analytic methods in use will provide information about the range of validity of these methods.