Density functionals derived from Feynman diagrams
Nuclear Theory
2009-12-24 v2 Other Condensed Matter
Statistical Mechanics
Abstract
We construct a stationary density functional for the partition function from a chosen set of one (boson) line irreducible Feynman diagrams. The construction does not proceed by the inversion of a Legendre transform. It is formulated for fermions with Coulomb interactions, in which case a stationary functional of the particle density is contructed, as well as for nucleons interacting with mesons, which involves a stationary functional of several densities. The use of Kohn-Sham orbits is shown to be an unnecessary complication.
Cite
@article{arxiv.0910.1935,
title = {Density functionals derived from Feynman diagrams},
author = {Georges Ripka},
journal= {arXiv preprint arXiv:0910.1935},
year = {2009}
}
Comments
37 pages; rewritten with 2 appendeces, misprints corrected, new derivation of Kohn-Sham orbits the use of which is shown to be an unnecessary complication