费米-阿马尔迪函数的扩展到小数电子数
Ivan P Bosko1, Viktor N Staroverov1
1Department of Chemistry, The University of Western Ontario, London, Ontario N6A 5B7, Canada.
The Journal of chemical physics
|August 4, 2025
概括
费米-阿马尔迪校正不应该将电子数N视为分数N的电子密度的积分. 这种密度函数近似显示了与N=1.1的关联效应相关的不连续性.
科学领域:
- 量子化学 是一个量子化学.
- 计算物理 计算物理
- 材料科学 材料科学 材料科学
背景情况:
- 费米-阿马尔迪校正是一个密度函数近似.
- 它明确取决于电子数 (N).
- 这种依赖性提出了关于将N视为分数N的电子密度的积分对待N的问题.
研究的目的:
- 为了确定N是否应该被视为Fermi-Amaldi校正中的小数N的总电子密度的积分.
- 分析费米-阿马尔迪函数的属性和不连续性.
- 为了研究在N=1.1时交换相关性潜在不连续性的性质.
主要方法:
- 费米-阿马尔迪函数的理论分析.
- 与确切交换函数的比较.
- 检查具有相同空间轨道和零差异重叠的系统.
- 数字计算以说明发现.
主要成果:
- 费米-阿马尔迪函数在特定条件下与精确交换函数相同.
- N应被视为一个参数,而不是电子密度的积分,对于分数N.
- 函数表现出旋转通道内的不连续性和在N=1边界的连续性.
- 在N=1时,交换相关性潜力的跳跃不连续性归因于相关性效应.
结论:
- 费米-阿马尔迪校正需要将N作为分数值的参数来处理.
- 观察到的不连续性与相关性效应有关.
- 数值结果支持费米-阿马尔迪函数的理论分析.
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