{
  "annotation_id": "9996f732-e9f1-4a5c-b8c0-875d229df74d",
  "date_created": "2026-03-02T18:02:03.236000Z",
  "date_modified": "2026-03-02T18:02:03.236000Z",
  "file_hash": "46196748d115635e9f7c32c5b8b58e5d28afaaa05c5283b2d4f0d512e7553b75",
  "private": false,
  "record": {
    "abstract": "This article concerns the time-dependent Hartree-Fock (TDHF) approximation of\nsingle-particle dynamics in systems of interacting fermions. We find that the\nTDHF approximation is accurate when there are sufficiently many particles and\nthe initial many-particle state is any Gibbs equilibrium state for\nnoninteracting fermions (with Slater determinants as a special example).\nAssuming a bounded two-particle interaction, we obtain a bound on the error of\nthe TDHF approximation, valid for short times. We further show that the error\nof the TDHF approximation vanishes at all times in the mean field limit.",
    "arxiv_id": "quant-ph/0312005",
    "authors": [
      "Claude Bardos",
      "Francois Golse",
      "Alex D. Gottlieb",
      "Norbert J. Mauser"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1023/B:JOSS.0000022381.86923.0a",
    "journal_ref": "Journal of Statistical Physics 115 (2004), 1037-1055",
    "title": "Accuracy of the time-dependent Hartree-Fock approximation for   uncorrelated initial states",
    "url": "https://arxiv.org/abs/quant-ph/0312005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5e348208-746d-4c77-8b70-6889c17457d5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}