Generalized Weisacker functional

The orbital representation is not used in most of the recent work on computational methods based on diagonal elements of density matrices. This is partly for historical reasons—most of the work has been done by people trained in density functional theory—and partly this is because most of the available kinetic energy functionals are known only in first-quantized form. For example, the popular generalized Weisacker functional [2, 7-11],... 

The method based on the Weisacker functional can be improved if one chooses a computational ansatz that imposes the Pauli principle. For every Wrepresentable electron density, p(x), there exists some Slater determinant with that density. More generally, there exists an ensemble of Welectron Slater determinants. 

Each of these approaches to the density functional theory can be generalized to 2-density functional theory. In Section I, we mentioned the commonly considered generalization of the Weisacker ansatz, namely. 

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See also in sourсe #XX -- [ ]

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