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Levy-Lieb constrained-search formulation as a minimization of the correlation functional

arXiv
Authors: L. Delle Site

Year

2007

Paper ID

50678

Status

Preprint

Abstract Read

~2 min

Abstract Words

66

Citations

N/A

Abstract

The constrained-search formulation of Levy and Lieb, which formally defines the exact Hohenberg-Kohn functional for any N-representable electron density, is here shown to be equivalent to the minimization of the correlation functional with respect to the N-1 conditional probability density, where N is number of electrons of the system. The consequences and implications of such a result are here analyzed and discussed via a practical example.

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  • The constrained-search formulation of Levy and Lieb, which formally defines the exact Hohenberg-Kohn functional for any N-representable electron density, is here shown to be...

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