{
  "annotation_id": "6e56621f-4f16-47a9-9a41-6524834d2c47",
  "date_created": "2026-03-02T18:01:11.037000Z",
  "date_modified": "2026-03-02T18:01:11.037000Z",
  "file_hash": "c170d17c83270ecbb28bc7a394dab1a39b9852b7de5635ae3bccdf7a7a2fa25d",
  "private": false,
  "record": {
    "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"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "589b7118-1c2c-4b6c-acca-6874323fd83d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}