相对主义哈密尔顿主义者的统一构造
1Qingdao Institute for Theoretical and Computational Sciences, School of Chemistry and Chemical Engineering, Shandong University, Qingdao, Shandong 266237, People's Republic of China.
The Journal of chemical physics
|February 28, 2024
概括
这项研究统一了相对论的哈特里-福克方程 (四个组成部分,准四个组成部分和精确的两个组成部分),使用小组件旋转器的近似值. 这些方法实现了相同的准确性,使有效的相对论量子化学计算成为可能.
科学领域:
- 量子化学 是一个量子化学.
- 相对论量子力学相对论量子力学
- 计算物理 计算物理
背景情况:
- 相对论效应对于精确的电子结构计算至关重要,特别是对于重元素.
- 现有的相对论方法,如四元件 (4C),准四元件 (Q4C) 和精确两元件 (X2C) Hartree-Fock,具有不同的实现复杂性.
- 需要一个统一而有效的方法来处理这些相对论形式主义.
研究的目的:
- 为4C,Q4C和X2C相对论哈特里-福克方程制定一个统一的实施策略.
- 引入近似来简化对相对论效应的计算处理.
- 制定基于四次方程的相对论方程及其开放式变体.
主要方法:
- 利用分子四旋翼的小组件的原子性质.
- 采用模型密度矩阵对小组件电荷/电流密度的近似计算.
- 实现相对论积分的"一个中心小组件"近似.
- 制定相对论方程的四边形表示.
主要成果:
- 实现了4C,Q4C和X2C哈特里-福克方程的统一实现.
- 这些近似结果使得平均场和多电子哈密尔顿的结构和精度相同.
- 通过近似引入的错误比其他错误来源要小得多.
- 制定了有效的量子电动力学哈密尔顿式和克莱默斯式受限制的开变体.
结论:
- 拟议的近似为相对论哈特里-福克计算提供了一个计算效率高,准确的统一框架.
- 这些方法适用于广泛的相对论电子结构问题,包括开放系统.
- 这种方法简化了复杂的相对论形式主义,而不影响准确性.
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