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

A. I. Panin
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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.

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A. I. Panin. 2006-07-05. 1-Density Operators and Algebraic Version of The Hohenberg-Kohn Theorem. https://doi.org/10.1002/qua.21213

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