{
  "annotation_id": "25cf7247-dedd-4569-b7d1-f9503f6c47b4",
  "date_created": "2026-03-02T18:01:28.415000Z",
  "date_modified": "2026-03-02T18:01:28.415000Z",
  "file_hash": "b25db787ed6c1657a770cc55ebbedcb17634cc66d998b7efaf37e4f46d57a1c6",
  "private": false,
  "record": {
    "abstract": "We construct an irreducible representation of the canonical commutation\nrelations by operators on a certain Banach space over a local field of\ncharacteristic p. The Carlitz polynomials forming the basis of the space are\nshown to be the counterparts of the Hermite functions for this situation. The\nanalogues of coherent states are related to the Carlitz exponential.",
    "arxiv_id": "q-alg/9710001",
    "authors": [
      "Anatoly N. Kochubei"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Lett.Math.Phys. 45 (1998) 11-20",
    "title": "Harmonic Oscillator in Characteristic p",
    "url": "https://arxiv.org/abs/q-alg/9710001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a5bf8f1-525d-4121-9ee7-a6257ac97b36",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}