{
  "annotation_id": "0bf04539-59b7-45e4-9919-a7b1775ff7b6",
  "date_created": "2026-03-02T18:01:59.604000Z",
  "date_modified": "2026-03-02T18:01:59.604000Z",
  "file_hash": "a7682939849fb00c33e620464e323b0e9c7f02a16889422c8e39169053f102c6",
  "private": false,
  "record": {
    "abstract": "A short review of Schroedinger hamiltonians for which the spectral problem\nhas been related in the literature to the distribution of the prime numbers is\npresented here. We notice a possible connection between prime numbers and\ncentrifugal inversions in black holes and suggest that this remarkable link\ncould be directly studied within trapped Bose-Einstein condensates. In\naddition, when referring to the factorizing operators of Pitkanen and Castro\nand collaborators, we perform a mathematical extension allowing a more standard\nsupersymmetric approach",
    "arxiv_id": "quant-ph/0304139",
    "authors": [
      "H. C. Rosu"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217732303011034",
    "journal_ref": "Mod. Phys. Lett. A 18 (2003) 1205-1213",
    "title": "Quantum hamiltonians and prime numbers",
    "url": "https://arxiv.org/abs/quant-ph/0304139"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2cc3e1dd-6b9d-48b0-adb1-ee1a0bdd2f1a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}