理查德森-高丁状态,完美配对和配对结合集群理论之间的连接
Paul A Johnson1, Charles-Émile Fecteau1, Samuel Nadeau1
1Département de Chimie, Université Laval, Québec, Québec G1V 0A6, Canada.
The Journal of chemical physics
|December 17, 2025
概括
这项研究探讨了完美配对 (PP) 波函数,将它们连接到配对结合集群双重 (pCCD). 结果表明,PP与扰动理论相结合,提供了一条有效建模电子结构的途径,将轨道和双晶方法相结合.
科学领域:
- 量子化学 是一个量子化学.
- 计算物理 计算物理
- 电子结构理论 电子结构理论
背景情况:
- 基于轨道的方法,如斯莱特决定因素,面临着具有强烈相关性的挑战.
- 基于双子的理论在静态相关性方面表现出色,但在动态效应方面是复杂和有限的.
研究的目的:
- 为了研究轨道和双胞胎框架之间的关系.
- 分析完美配对 (PP) 波函数及其与pCCD和Richardson-Gaudin状态的联系.
主要方法:
- 检查了完美配对 (PP) 波函数.
- 在结合/反结合轨道对中表达了减少的巴丁-库珀-施里弗哈密尔顿式.
- 在PP波函数中应用了二次Epstein-Nesbet扰动理论.
主要成果:
- 完美配对 (PP) 波函数作为简化的哈密尔顿函数的自向量出现.
- 互补的自向量有助于对弱相关性进行系统的处理.
- 在PP上的扰动理论产生了与pCCD可比的能量.
结论:
- 澄清了基于对的分析在电子结构中的作用.
- 开辟了混合方法的途径,将轨道和双质方法结合起来.
- 证明了一条有效建模强弱相关性的途径.
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