论文标题
通用功能在顺磁电流密度功能理论中的较低半continientiations
Lower semi-continuity of universal functional in paramagnetic current-density functional theory
论文作者
论文摘要
证明了其顺磁性公式中电流密度功能理论（CDFT）的基石。在简要概述了CDFT的数学结构之后，证明了CDFT约束搜索功能的较低半持续点和期望值，这意味着在CDFT约束搜索通用密度函数中始终会最小化密度矩阵。这些结果将CDFT的数学框架放在与标准DFT相同的基础上。
A cornerstone of current-density functional theory (CDFT) in its paramagnetic formulation is proven. After a brief outline of the mathematical structure of CDFT, the lower semi-continuity and expectation valuedness of the CDFT constrained-search functional is proven, meaning that there is always a minimizing density matrix in the CDFT constrained-search universal density functional. These results place the mathematical framework of CDFT on the same footing as that of standard DFT.
