Electronic Flux Density beyond the Born-Oppenheimer Approximation.

Electronic Flux Density beyond the Born-Oppenheimer Approximation.
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电子通量密度超出玻恩-奥本海默近似。

DOI:
--
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发表时间:
2016
影响因子:
2.9
通讯作者:
E. K. U. Gross
E. K. U. Gross
中科院分区:
化学3区
文献类型:
--
作者:
A. Schild;F. Agostini;E. K. U. Gross

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在玻恩-奥本海默近似中,电子波函数通常是实值的,因此电子通量密度(电流密度)似乎为零。这对化学来说是不幸的,因为它排除了通过玻恩-奥本海默模拟化学重排过程来监测与核运动相关的电子运动的可能性。我们研究的电子通量密度从电子波函数的修正。这种修正是通过应用于电子和原子核的精确因式分解框架中的核速度微扰理论导出的。为了计算修正,只需要基态势能面和电子波函数。对于一个模型系统,我们表明,这种电子通量密度近似真实的一个非常好,相干隧穿动力学以及过势垒散射,并已为电子和原子核之间的质量比是远远大于真实的质量比。
In the Born-Oppenheimer approximation, the electronic wave function is typically real-valued and hence the electronic flux density (current density) seems to vanish. This is unfortunate for chemistry, because it precludes the possibility to monitor the electronic motion associated with the nuclear motion during chemical rearrangements from a Born-Oppenheimer simulation of the process. We study an electronic flux density obtained from a correction to the electronic wave function. This correction is derived via nuclear velocity perturbation theory applied in the framework of the exact factorization of electrons and nuclei. To compute the correction, only the ground state potential energy surface and the electronic wave function are needed. For a model system, we demonstrate that this electronic flux density approximates the true one very well, for coherent tunneling dynamics as well as for over-the-barrier scattering, and already for mass ratios between electrons and nuclei that are much larger than the true mass ratios.
电子基态中的电子密度动力学:沿着苯的凯库莱模式的运动
DOI: 10.1021/jp305735s
发表时间: 2012
期刊: The journal of physical chemistry. A
影响因子: --
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DOI: 10.1137/100788860
发表时间: 2011-01-01
影响因子: 3.1
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通讯作者: Higham, Nicholas J.
DOI: 10.1080/00268976.2011.648666
发表时间: 2012
期刊: Molecular Physics
影响因子: 1.7
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