{
  "annotation_id": "9c038aeb-ebeb-4248-a461-48507d66cdf0",
  "date_created": "2026-03-02T18:00:43.485000Z",
  "date_modified": "2026-03-02T18:00:43.485000Z",
  "file_hash": "944f759f9b1c6a02e9120d984b9af337a3a07fe4c32552b1da956a2b854ab811",
  "private": false,
  "record": {
    "abstract": "General properties of new models of the electronic Fock spaces based on the\nnotion of (p,q)-sheaves are studied. Interrelation between simple sheaves and\ndensity operators is established. Explicit expressions for the transformed\nreduced Hamiltonians in terms of the standard creation-annihilation operators\nare presented. General scheme of parametrization of p-electron states by\nk-electron means (k=2,3,...) is described and studied in detail for the case of\nsheaves induced by k-electron wavefunctions. It is demonstrated that under\ncertain conditions p-electron problem may be reformulated as the eigenvalue\nproblem in k-electron space equipped with certain p-electron metric. Simple\nnumerical examples are given to illustrate our approach.",
    "arxiv_id": "physics/0210070",
    "authors": [
      "A. I. Panin"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "title": "(p,q)-Sheaves and the Representability Problem",
    "url": "https://arxiv.org/abs/physics/0210070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d85851cd-89fc-45cf-b793-2b1cd8ed7688",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}