Analytical contradictions of the 'fixed - node' density matrices
Plasma Physics
2013-08-01 v3
Abstract
Over the last decades the 'fixed-node method' has been used for a numerical treatment of thermodynamic properties of strongly correlated Fermi systems. In this work correctness of the 'fixed -node method' for ideal Fermi systems has been analytically analyzed. It is shown that the 'fixed-node' prescription of calculation of the density matrix leads to contradictions even for two ideal fermions. The main conclusion of this work is that the 'fixed-node method' can not reproduce the fermion density matrices and should be considered as uncontrolled empirical approach in treatment of thermodynamics of Fermi systems.
Cite
@article{arxiv.1304.0216,
title = {Analytical contradictions of the 'fixed - node' density matrices},
author = {V. S. Filinov},
journal= {arXiv preprint arXiv:1304.0216},
year = {2013}
}