进入密度的功能理论
Ahmad Yousefi1, Ariel Caticha1
1Department of Physics, University at Albany, Albany, NY 12222, USA.
Entropy (Basel, Switzerland)
|January 26, 2024
概括
本研究将最大应用于量子密度函数理论 (DFT),开发试验密度运算符以优化近似. 这种方法在有限温度下为霍恩伯格-科恩定理提供了新的证明.
科学领域:
- 量子力学就是量子力学.
- 统计力学就是统计力学.
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 密度函数理论 (DFT) 是一种用于电子结构计算的强大的量子力学方法.
- 最大的方法是构建概率分布和近似的强大工具.
- 在许多物理和化学领域,了解热平衡中的系统至关重要.
研究的目的:
- 使用最大的方法制定密度函数理论 (DFT) 方法.
- 将最大的应用从经典系统扩展到量子系统.
- 在有限温度下提供霍恩伯格-科恩定理的新推导.
主要方法:
- 建立一个基于最大的DFT的配方.
- 引入试验密度运算符,参数为粒子密度.
- 与准确的正规密度运算符相对最大化量子.
主要成果:
- 拟议的方法复制了DFT的变量原理.
- 在有限温度下实现了霍恩伯格-科恩定理的简单证明.
- 以有限温度的Kohn-Sham近似方案作为一个说明来讨论.
结论:
- 最大的方法提供了一种系统的方式,在量子 DFT 中生成最佳近似值.
- 这种公式为有限温度的DFT计算提供了一个强大的理论框架.
- 该方法为DFT及其应用的基础提供了新的见解.
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