N-representability of two-electron densities and density matrices and the application to the few-body problem
Strongly Correlated Electrons
2009-11-10 v1
Abstract
We have found a (dense) basis for the N-representable, two-electron densities, in which all N-representable two-electron densities can be expanded, using positive coefficients. The inverse problem of finding a representative wavefunction, giving a prescribed two-electron density, has also been solved. The two-electron densities are found to lie in a convex set in a vector space. We show that density matrices are more complicated objects than densities, and density matrices do not seem to lie in a convex set. An algorithm to compute the ground-state energy of a few-particle system is proposed, based on the obtained results, where the correlation is treated exactly.
Keywords
Cite
@article{arxiv.cond-mat/0406300,
title = {N-representability of two-electron densities and density matrices and the application to the few-body problem},
author = {Mats-Erik Pistol},
journal= {arXiv preprint arXiv:cond-mat/0406300},
year = {2009}
}