Theory of Dense Hydrogen and Correlated Quantum and Classical Systems

9619854阿什克罗夫特这项理论拨款支持一项基础广泛的研究计划，该计划涉及凝聚态系统的各种性质。有三个具体的主题需要研究：稠密和金属氢；一般多体理论；以及密度泛函理论。将对稠密氢和金属氢进行理论研究，包括稠密流态氢的输运性质；新的对称破缺状态；成对；以及质子成对的持久性。在一般的多体理论下，主题将包括降维的有效电子-电子相互作用；分层系统中的不稳定性；双组分量子系统和广义标度；将锂作为伊利亚什伯格超导方程的模型系统重新审视；以及周期场中的氦。密度泛函理论的主题将包括富勒烯和插层富勒烯的研究；Born-Green方程；平均离子混合规则；动态晶态的统计描述；以及粗粒化和不均匀电子气。这项理论资助涉及凝聚态物理学的各种主题的研究--研究处于凝聚态的原子和分子，如液体和固体。目前特别令人感兴趣的是对氢的研究，氢是宇宙中最丰富的元素，通常处于气态，以及它进入金属状态时的性质，在金属状态下它可以导电。其他研究课题将包括超导电性和富勒烯--一种新的碳形式--的研究。***

9619854 Ashcroft This theoretical grant supports a broad-based research program dealing with various properties of condensed matter systems. There are three specific topics to be studied: dense and metallic hydrogen; general many-body theory; and, density functional theory. Theoretical studies will be done on dense and metallic hydrogen and will include transport properties of dense fluid hydrogen; novel broken symmetry states; pairing of pairs; and, persistence of proton-pairing. Under general many-body theory, topics will include effective electron- electron interactions in reduced dimensions; instabilities in layered systems; two-component quantum systems and generalized scaling; revisiting lithium as a model system for Eliashberg equations of superconductivity; and, helium in a periodic field. Topics in density functional theory will include studies of fullerenes and intercalated fullerenes; the Born-Green equation; the average-ion mixing rule; statistical description of the dynamic crystalline state; and, coarse graining and the inhomogeneous electron gas. %%% This theoretical grant involves research on a wide variety of topics from condensed matter physics - the study of atoms and molecules in condensed states such as liquids and solids. Of particular current interest will be the study of hydrogen, the most abundant element in the universe and usually in a gaseous state, and its properties as it enters a metallic state in which it can conduct electricity. Other topics of study will include superconductivity and the study of fullerenes - a new form of carbon. ***