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arXiv 2303.12903physics.chem-ph
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Transcorrelated耦合簇方法。II. 分子体系

Transcorrelated coupled cluster methods. II. Molecular systems

Thomas Schraivogel, Evelin Martine Christlmaier, Pablo López Ríos, Ali Alavi, Daniel Kats

AI总结:

本研究结合变分蒙特卡洛得到的Jastrow因子与单双激发水平的耦合簇、可区分簇方法,验证transcorrelated哈密顿量的能量计算精度,证实其在小分子体系中可达近全组态相互作用水平,并提出无需显式引入三体积分的高效实现方案。

摘要:

我们采用从变分蒙特卡洛方法得到的精细Jastrow因子,结合单双激发水平的耦合簇方法与可区分簇方法,验证了transcorrelated哈密顿量基态能量的准确性。结果表明,仅使用cc-pVTZ基组,transcorrelated可区分簇方法针对三十余种原子和分子的相对能量,计算值已接近完备基组极限和接近全组态相互作用的质量值。为评估其在不同关联区域的性能,我们还研究了transcorrelated耦合簇方法下氮分子的键断裂过程。数值证据进一步证明了一种高效方法的合理性,该方法无需将三体积分显式引入振幅方程,即可纳入其带来的主要效应。

英文摘要:

We demonstrate the accuracy of ground-state energies of the transcorrelated Hamiltonian, employing sophisticated Jastrow factors obtained from variational Monte Carlo, together with the coupled cluster and distinguishable cluster methods at the level of singles and doubles excitations. Our results show that already with the cc-pVTZ basis the transcorrelated distinguishable cluster method gets close to complete basis limit and near full configuration interaction quality values for relative energies of over thirty atoms and molecules. To gauge the performance in different correlation regimes we also investigate the breaking of the nitrogen molecule with transcorrelated coupled cluster methods. Numerical evidence is presented to further justify an efficient way to incorporate the major effects coming from the three-body integrals without explicitly introducing them into the amplitude equations.

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