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arXiv 0803.2727cond-mat.mtrl-sci
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含时密度泛函理论中的“因果paradigm”

On the "Causality Paradox" of Time-Dependent Density Functional Theory

G. Vignale

摘要:

我表明,所谓的因果关系悖论的时间依赖的密度泛函理论产生的不正确的制定的变分原理的时间演化的密度。正确的表述不仅解决了悖论的实时,但也导致了一个新的表达式的因果交换相关内核的贝里曲率。此外,我表明,所有的结果,以前来自对称性的行动功能仍然有效,在本配方。最后,我开发了一个模型的功能理论,明确展示了新的配方的工作。

英文摘要:

I show that the so-called causality paradox of time-dependent density functional theory arises from an incorrect formulation of the variational principle for the time evolution of the density. The correct formulation not only resolves the paradox in real time, but also leads to a new expression for the causal exchange-correlation kernel in terms of Berry curvature. Furthermore, I show that all the results that were previously derived from symmetries of the action functional remain valid in the present formulation. Finally, I develop a model functional theory which explicitly demonstrates the workings of the new formulation.

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。

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