Density functional theory, exact for ground states, is commonly assumed to imply an independent-electron model in which only local potential functions arrear. It has recently been shown that several paradoxes in different aspects of the theory can be resolved if this locality hypothesis is abandoned. However, the locality hypothesis itself appears to be implied by rigorous variational theory. This conflict is discussed and resolved here. The resolution involves embedding the density functional theory in an orbital functional theory whose functional derivatives are not confined to normalized ground states. The orbital Euler-Lagrange equations of this extended theory in general contain effective potentials that are linear operators acting on orbital wave functions. (C) 2001 John Wiley & Sons, Inc. [References: 14]
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机译：通常假定对于基态精确的密度泛函理论暗指一个仅欠局部电势函数的独立电子模型。最近显示，如果放弃了局部性假设，则可以解决该理论不同方面的几个悖论。但是，严格的变分理论似乎暗示了局部性假设本身。此处讨论并解决了此冲突。解决方法包括将密度泛函理论嵌入其功能导数不限于归一化基态的轨道泛函中。通常，这种扩展理论的轨道Euler-Lagrange方程包含有效势，该势是作用于轨道波函数的线性算子。 （C）2001 John Wiley＆Sons，Inc. [参考：14]
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