函数域和多态密度函数理论的通用矩阵函数.
1Institute of Systems and Physical Biology, Shenzhen Bay Laboratory, Shenzhen 518055, China.
The Journal of chemical physics
|March 11, 2025
概括
这项研究为多态密度函数理论 (MSDFT) 建立了数学基础,将密度函数理论概括为多个电子状态. 它提供了一个严格的框架来计算使用矩阵密度函数的基本和激发状态.
科学领域:
- 量子化学 是一个量子化学.
- 计算物理 计算物理
- 理论化学 理论化学
背景情况:
- 最近在哈密尔顿矩阵密度函数对多个电子固态的进展.
- 现有的科恩-沙姆密度函数理论 (DFT) 概念如密度可表示性.
- 对于多态密度函数理论 (MSDFT) 需要一个严格的理论框架.
研究的目的:
- 深入研究多态密度函数理论 (MSDFT) 的数学基础.
- 将Kohn-Sham DFT的物理概念扩展到矩阵密度函数.
- 为MSDFT建立一个严格的变化原则.
主要方法:
- 利伯通用函数的泛化为对许多状态的通用矩阵函数.
- 将密度可表示性概念扩展到矩阵密度函数.
- 对哈密尔顿矩阵函数的子空间对称性和不变性属性的分析.
主要成果:
- 建立对许多状态的通用矩阵函数的存在.
- 在矩阵密度领域内严格定义MSDFT的变化原理.
- 证明哈密尔顿矩阵的功能结构受到对称性和不变性属性的约束.
结论:
- 为基本状态和激发状态的密度函数理论提供了坚实的理论框架.
- 确保所有哈密尔顿矩阵函数元素的连贯变量优化.
- 巩固了使用密度函数理论来处理多个电子状态的理论基础.
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