Theory of Time-Dependent Phenomena in Quantum Many-Body Systems

量子多体系统中的瞬态现象理论

• 批准号: 9706788
• 负责人: Giovanni Vignale
• 金额: $ 20.7万
• 依托单位: University of Missouri-Columbia
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-06-15 至 2000-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9706788&HistoricalAwards=false
• 关键词: Theory; Time; Dependent; Phenomena; Quantum

9706788 Vignale This grant will support the work of a mid-career PI on some fundamental aspects of time dependent density functional theory. The PI has pioneered the generalized current- density functional theory to describe the high frequency effects under weak perturbing potentials. The generalized theory has the prospect of a unified treatment of a large class of phenomena ranging from standard linear response and transport to nonlinear and nonperturbative phenomena and parametric instabilities. The PI will study exact solutions as benchmarks, to learn about the rigorous structure of the exact exchange correlation potentials. The theory will also be generalized to include the electronic spin degree of freedom. The theoretical work will benefit from experiments on the dispersion and lifetime of collective excitations in metals and also on excitations in digitally designed quantum wells. In addition the PI is also planning to investigate the excitations at the edges of quantum Hall systems. %%% This mid-career PI was a pioneer in the development of a theoretical formalism to study the time dependent properties of electrons in metals. This work is widely known as the current-density functional theory. In the present grant, he is planning to develop a unified treatment of the response of atoms, molecules and metals to intense and high frequency electromagnetic fields. The specific effects include a study of nonlinear phenomena and also parametric instabilities in metals and in digitally designed quantum wells. He is also planning to study the special properties of electrons at high fields, the features associated with the edge states in a quantum Hall effect. ***

9706788维格纳尔这笔赠款将支持一名职业生涯中期的专业人员在依赖时间的密度泛函理论的一些基本方面的工作。PI开创了广义电流密度泛函理论来描述弱扰动势下的高频效应。广义理论有望统一处理一大类现象，从标准的线性响应和传输到非线性和非微扰现象以及参数不稳定性。PI将研究精确解作为基准，以了解精确交换关联势的严格结构。该理论还将被推广，以包括电子自旋自由度。这项理论工作将得益于金属中集体激发的色散和寿命的实验，以及数字设计的量子阱中的激发。此外，PI还计划研究量子霍尔系统边缘的激发。这位职业生涯中期的PI是研究金属中电子随时间变化的性质的理论形式主义发展的先驱。这项工作被称为电流密度泛函理论。在目前的拨款中，他计划开发一种统一处理原子、分子和金属对强烈和高频电磁场的响应的方法。具体的影响包括研究非线性现象，以及金属和数字设计的量子井中的参数不稳定性。他还计划研究高场电子的特殊性质，即与量子霍尔效应中的边态相关的特征。***