1-Density Operators and Algebraic Version of The Hohenberg-Kohn Theorem

Details 1-Density Operators and Algebraic Version of The Hohenberg-Kohn Theorem 1-Density Operators and Algebraic Version of The Hohenberg-Kohn Theorem

2006-07-05

arxiv.org/abs/physics/0607037v1

Physics

Chemical Physics

AMSLaTex, 37 pages, 4 figures, 1 table

Scientific paper

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.

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