{
  "annotation_id": "6cb406c6-8e04-4c96-b7ab-34555e831c6e",
  "date_created": "2026-03-02T18:00:56.995000Z",
  "date_modified": "2026-03-02T18:00:56.995000Z",
  "file_hash": "3f3a2b87c31c13d31f9dec71dcfb5f944d77dedb3bf6da3c71e4b7c704726a1e",
  "private": false,
  "record": {
    "abstract": "New algebraic structure on electronic Fock space is studied in detail. This\nstructure is defined in terms of a certain multiplication of many electron wave\nfunctions and has close interrelation with coupled cluster and similar\napproaches. Its study clarifies and simplifies the mathematical backgrounds of\nthese approaches. And even more, it leads to many relations that would be very\ndifficult to derive using conventional technique. Formulas for action of the\ncreation-annihilation operators on products of state vectors are derived.\nExplicit expressions for action of simplest particle-conserving products of the\ncreation-annihilation operators on powers of state vectors are given. General\nscheme of parametrization of representable density operators of arbitrary order\nis presented.",
    "arxiv_id": "physics/0503236",
    "authors": [
      "A. I. Panin"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "doi": "10.1002/qua.20950",
    "title": "Electronic Fock space as associative superalgebra",
    "url": "https://arxiv.org/abs/physics/0503236"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "89a37769-ed4f-44f3-b056-ffdf8e21b02d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}