1-Density Operators and Algebraic Version of The Hohenberg-Kohn Theorem
Chemical Physics
2015-06-26 v1
Abstract
Interrelation of the Coleman's representabilty theory for 1-density operators and abstract algebraic form of the Hohenberg-Kohn theorem is studied in detail. Convenient realization of the Hohenberg-Kohn set of classes of 1-electron operators and the Coleman's set of ensemble representable 1-density operators is presented. Dependence of the Hohenberg-Kohn class structure on the boundary properties of the ground state 1-density operator is established and is illustrated on concrete simple examples. Algorithm of restoration of many electron determinant ensembles from a given 1-density diagonal is described. Complete description of the combinatorial structure of Coleman's polyhedrons is obtained.
Keywords
Cite
@article{arxiv.physics/0607037,
title = {1-Density Operators and Algebraic Version of The Hohenberg-Kohn Theorem},
author = {A. I. Panin},
journal= {arXiv preprint arXiv:physics/0607037},
year = {2015}
}
Comments
AMSLaTex, 37 pages, 4 figures, 1 table