{
  "annotation_id": "6f576d28-d8f6-4814-9853-a2833c4566e7",
  "date_created": "2026-03-02T18:02:47.727000Z",
  "date_modified": "2026-03-02T18:02:47.727000Z",
  "file_hash": "c9534e3adb406285ccafb8677cb1c07cbe762d517fbff7b5f554b14aacbbfd7c",
  "private": false,
  "record": {
    "abstract": "Magic numbers predicted by a 3-dimensional q-deformed harmonic oscillator\nwith Uq(3) \u003e SOq(3) symmetry are compared to experimental data for alkali metal\nclusters, as well as to theoretical predictions of jellium models, Woods--Saxon\nand wine bottle potentials, and to the classification scheme using the 3n+l\npseudo quantum number. The 3-dimensional q-deformed harmonic oscillator\ncorrectly predicts all experimentally observed magic numbers up to 1500 (which\nis the expected limit of validity for theories based on the filling of\nelectronic shells), thus indicating that Uq(3), which is a nonlinear extension\nof the U(3) symmetry of the spherical (3-dimensional isotropic) harmonic\noscillator, is a good candidate for being the symmetry of systems of alkali\nmetal clusters.",
    "arxiv_id": "quant-ph/9909002",
    "authors": [
      "Dennis Bonatsos",
      "N. Karoussos",
      "P. P. Raychev",
      "R. P. Roussev",
      "P. A. Terziev"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0009-2614(99)00199-2",
    "journal_ref": "Chem. Phys. Lett. 302 (1999) 392-398",
    "title": "The 3-Dimensional q-Deformed Harmonic Oscillator and Magic Numbers of   Alkali Metal Clusters",
    "url": "https://arxiv.org/abs/quant-ph/9909002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec6c77fd-390c-4261-b1cb-8ffe5267898a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}