Self-Consistent Field Theory for Correlated Electrons in Solids

9811381 Bickers理论和计算研究将继续在这个项目中，以研究在一体和两体自洽近似的框架内固体中相关电子的性质。 这种近似构成了哈特里-福克理论对强相互作用和大电子涨落系统的自然推广，包括铜氧化物高温超导体。 所提出的研究集中在（a）将单体自洽场方法扩展到具有任意空间和时间依赖相互作用的模型，以及（B）发展一种计算有效的技术来解决低维系统中的拼花问题。 这些项目是可能的，通过使用一种新的表示两体散射顶点。 这个理论研究项目涉及开发计算技术来处理电子系统，例如高温超导体，其中电子强烈相互作用。 在这种情况下，传统的理论和计算技术无法提供准确的结果。 如果成功，该项目将有广泛的应用。 ***

9811381 Bickers Theoretical and computational research will be continued on this project to study the properties of correlated electrons in solids within the framework of one-body and two-body self- consistent approximations. Such approximations constitute the natural generalization of Hartree-Fock theories to systems with strong interactions and large electronic fluctuations, including the cuprate high-temperature superconductors. The research proposed concentrates on (a) the extension of the one-body self-consistent field approach to models with arbitrary space-and time-dependent interactions, and (b) the development of a computationally efficient technique for solving the parquet problem in low- dimensional systems. These projects are made possible by using a novel representation for two-body scattering vertices. %%% This theoretical research project involves developing computational techniques to deal with electronic systems, such as the high temperature superconductors, where the electrons interact strongly. In cases such as these, conventional theoretical and computational techniques fail to provide accurate results. If successful, the project will have wide application. ***