Attempts to put classical and quantum mechanics on an equal footing gave rise to establishing of many known phase-space representations of quantum mechanics. The class of self-dual representations occupies a distinguished position among them, as they could be endowed with a Hilbert space structure closely resembling the standard picture of quantum mechanics. Using a phase-space variational principle and the concept of a phase-space wave function, we established a phase-space version of the density functional theory parallel to the original Hohenberg-Kohn formalism and the constrained-search approach by Levy and Lieb. (C) 1995 John Wiley & Sons, Inc. [References: 20]
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机译：试图使经典力学和量子力学处于平等地位的尝试导致建立了许多已知的量子力学相空间表示。自对偶表示的类别在它们之间占据着显着的位置，因为它们可能具有希尔伯特空间结构，该结构与量子力学的标准图景非常相似。使用相空间变分原理和相空间波函数的概念，我们建立了密度泛函理论的相空间版本，它与原始的Hohenberg-Kohn形式主义以及Levy和Lieb的约束搜索方法平行。 （C）1995 John Wiley＆Sons，Inc. [参考：20]
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