Hohenberg-Kohn Theorem for Coulomb Type Systems
Quantum Physics
2011-08-24 v1 Mathematical Physics
math.MP
Abstract
Density functional theory (DFT) has become a basic tool for the study of electronic structure of matter, in which the Hohenberg-Kohn theorem plays a fundamental role in the development of DFT. Unfortunately, the existing proofs are incomplete even incorrect; besides, the statement of the Hohenberg-Kohn theorem for many-electron Coulomb systems is not perfect. In this paper, we shall restate the Hohenberg-Kohn theorem for Coulomb type systems and present a rigorous proof by using the Fundamental Theorem of Algebra.
Keywords
Cite
@article{arxiv.1108.4517,
title = {Hohenberg-Kohn Theorem for Coulomb Type Systems},
author = {Aihui Zhou},
journal= {arXiv preprint arXiv:1108.4517},
year = {2011}
}