$N$-representability of the Jastrow wave function pair density of the lowest-order

Details $N$-representability of the Jastrow wave function pair density of the lowest-order $N$-representability of the Jastrow wave function pair density of the lowest-order

2008-01-04

arxiv.org/abs/0801.0615v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

We have recently proposed a density functional scheme for calculating the ground-state pair density (PD) within the Jastrow wave function PDs of the lowest-order (LO-Jastrow PDs) [M. Higuchi and K. Higuchi, Phys. Rev. A \textbf{75}, 042510 (2007)]. However, there remained an arguable problem on the $N$-representability of the LO-Jastrow PD. In this paper, the sufficient conditions for the $N$-representability of the LO-Jastrow PD are derived. These conditions are used as the constraints on the correlation function of the Jastrow wave function. A concrete procedure to search the suitable correlation function is also presented.

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