arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2201.06690physics.chem-ph
收藏

中性激励的含时二阶格林函数理论

Time dependent second order Green's function theory for neutral excitations

Wenjie Dou, Joonho Lee, David R. Reichman, Roi Baer, Eran Rabani

摘要:

本文发展了一个计算分子中性激发态的含时二阶格林函数理论(GF 2)。在Kadanoff-Baym(KB)方程的绝热近似下,利用自能的二阶玻恩近似,导出了小格林函数(GF)的运动方程。在线性响应区域,我们将含时KB方程转化为一个Bethe-Salpeter方程(GF 2-BSE),其核近似为二阶库仑自能。然后,我们将我们的GF 2-BSE应用于一组分子和原子,发现GF 2-BSE优于与单组态相互作用(CIS)和/或时间依赖的Hartree-Fock(TDHF),特别是对于电荷转移激发,并且在大多数情况下与具有微扰双组态的CIS(CIS(D))相当。

英文摘要:

We develop a time dependent second order Green's function theory (GF2) for calculating neutral excited states in molecules. The equation of motion for the lesser Green's function (GF) is derived within the adiabatic approximation to the Kadanoff-Baym (KB) equation using the second order Born approximation for the self-energy. In the linear response regime, we recast the time dependent KB equation into a Bethe-Salpeter-like equation (GF2-BSE), with a kernel approximated by the second order Coulomb self-energy. We then apply our GF2-BSE to a set of molecules and atoms and find that GF2-BSE is superior to configuration interaction with singles (CIS) and/or time dependent Hartree-Fock (TDHF), particularly for charge transfer excitations, and is comparable to CIS with perturbative doubles (CIS(D)) in most cases.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑