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Updated: Jul 24, 2025

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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
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由自由补充理论产生的奇数乘数r的高斯函数是自由补充理论产生的
Yusaku I Kurokawa1, Hiroshi Nakatsuji1
1Quantum Chemistry Research Institute, Kyoto Technoscience Center 16, 14 Yoshida Kawara-machi, Sakyo-Ku, Kyoto 606-8305, Japan.
The Journal of chemical physics
|July 10, 2023
概括
该研究介绍了r-Gaussian (rG) 函数,这些函数对于量子化学的精确解决方案至关重要. 这些函数提高了原子顶点附近的波函数精度,特别是在使用自由补充 (FC) 理论时.
科学领域:
- 量子化学 是一个量子化学.
- 理论化学 理论化学
- 计算化学计算化学
背景情况:
- 在量子化学中,高斯函数是解决施罗丁格方程的基本函数.
- 准确的解决方案需要一个完整的基础集,标准高斯函数单独无法提供.
研究的目的:
- 介绍和研究r-高斯函数 (rG),一种新型的高斯函数.
- 证明 rG 函数对于在量子化学中获得精确解决方案的必要性.
- 提出一种有效计算涉及rG函数的积分的方法.
主要方法:
- 自由补充 (FC) 理论应用于基于高斯波函数的应用.
- 介绍rG-NG扩展方法用于多中心的rG函数积分.
- 使用FC-sij理论与可整合的电子间函数 (rij^2).
主要成果:
- rG函数是高斯集的关键补充函数,可以产生精确的施罗丁格方程解.
- rG 函数显著提高了圆顶区域附近的波函数精度,如 H 和 He 原子所示.
- rG-NG扩展方法为准确的计算提供了最佳的指数和系数.
- 使用FC-sij理论对分子的应用验证了rG-NG方法的准确性和实用性.
结论:
- 在使用高斯基数集时,rG函数对于在量子化学中获得精确的解决方案是不可或缺的.
- 开发的rG-NG扩张方法为复杂的分子计算提供了高效和准确的方法.
- 这项工作推进了量子化学中的计算方法,使得更精确的电子结构研究成为可能.
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