dorsal/arxiv
View Schema1-Density Operators and Algebraic Version of The Hohenberg-Kohn Theorem
| Authors | A. I. Panin |
|---|---|
| Categories | |
| ArXiv ID | physics/0607037 |
| URL | https://arxiv.org/abs/physics/0607037 |
| DOI | 10.1002/qua.21213 |
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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"abstract": "Interrelation of the Coleman\u0027s representabilty theory for 1-density operators\nand abstract algebraic form of the Hohenberg-Kohn theorem is studied in detail.\nConvenient realization of the Hohenberg-Kohn set of classes of 1-electron\noperators and the Coleman\u0027s set of ensemble representable 1-density operators\nis presented. Dependence of the Hohenberg-Kohn class structure on the boundary\nproperties of the ground state 1-density operator is established and is\nillustrated on concrete simple examples. Algorithm of restoration of many\nelectron determinant ensembles from a given 1-density diagonal is described.\nComplete description of the combinatorial structure of Coleman\u0027s polyhedrons is\nobtained.",
"arxiv_id": "physics/0607037",
"authors": [
"A. I. Panin"
],
"categories": [
"physics.chem-ph"
],
"doi": "10.1002/qua.21213",
"title": "1-Density Operators and Algebraic Version of The Hohenberg-Kohn Theorem",
"url": "https://arxiv.org/abs/physics/0607037"
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