{
  "annotation_id": "058df2fe-17ab-459c-bcb2-03ea7a973791",
  "date_created": "2026-03-02T18:02:19.344000Z",
  "date_modified": "2026-03-02T18:02:19.344000Z",
  "file_hash": "90223cef88fab78bb0c9e9527eda0fbe5a252dab5137a65b6d1e2806598b3768",
  "private": false,
  "record": {
    "abstract": "We relate the Fermi-Dirac statistics of an ideal Fermi gas in a harmonic trap\nto partitions of given integers into distinct parts, studied in number theory.\nUsing methods of quantum statistical physics we derive analytic expressions for\ncumulants of the probability distribution of the number of different\npartitions.",
    "arxiv_id": "quant-ph/0507201",
    "authors": [
      "A. Kubasiak",
      "J. Korbicz",
      "J. Zakrzewski",
      "M. Lewenstein"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1209/epl/i2005-10278-8",
    "journal_ref": "Europhys. Lett. 72, p.506 (2005)",
    "title": "Fermi-Dirac statistics and the number theory",
    "url": "https://arxiv.org/abs/quant-ph/0507201"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9cbd664e-9df4-4cbb-8fc8-d8fbeae1ca9a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}