开放量子系统随机含时电流密度泛函理论的基础：潜在的陷阱和严格的结果
Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results
摘要：
本文澄清了我们最近介绍的关于开放量子系统的含时电流密度泛函理论的一些误解[M。Di dana和R. D'Agosta，Phys. Rev. Lett. { \bf 98}，226403（2007）]。我们还表明，最近的一些配方，试图改善这个理论遭受一些不一致，特别是在建立外部潜力和感兴趣的数量之间的映射。我们提供了一个一般的参数，这种映射，表明它必须满足一定的“维数”的要求。
英文摘要：
We clarify some misunderstandings on the time-dependent current density functional theory for open quantum systems we have recently introduced [M. Di Ventra and R. D'Agosta, Phys. Rev. Lett. {\bf 98}, 226403 (2007)]. We also show that some of the recent formulations attempting to improve on this theory suffer from some inconsistencies, especially in establishing the mapping between the external potential and the quantities of interest. We offer a general argument about this mapping, showing that it must fulfill certain "dimensionality" requirements.
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