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Restoration of Many Electron Wave Functions from One-Electron Density

A. I. Panin·A. N. Petrov
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Abstract

General theorem describing a relation between diagonal of one-electron density matrix and a certain class of many-electron ensembles of determinant states is proved. As a corollary to this theorem a constructive proof of sufficiency of Coleman's representability conditions is obtained. It is shown that there exist rigorous schemes for construction of energy of many-electron system as functionals of one-electron density.

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A. I. Panin, A. N. Petrov. 2003-10-09. Restoration of Many Electron Wave Functions from One-Electron Density. https://arxiv.org/abs/physics/0310043

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