{
  "annotation_id": "cb9e92d5-583a-474f-b85e-893aed19c7f5",
  "date_created": "2026-03-02T18:01:42.534000Z",
  "date_modified": "2026-03-02T18:01:42.534000Z",
  "file_hash": "54da8a9148dfa403a67a6252aa4934005ed724e640122943d63ee9b78d77ecf6",
  "private": false,
  "record": {
    "abstract": "Using the symmetries of the three-dimensional Paul trap, we derive the\nsolutions of the time-dependent Schr\\\"odinger equation for this system, in both\nCartesian and cylindrical coordinates. Our symmetry calculations provide\ninsights that are not always obvious from the conventional viewpoint.",
    "arxiv_id": "quant-ph/0011062",
    "authors": [
      "Michael Martin Nieto",
      "D. Rodney Truax"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1364/OE.8.000123",
    "journal_ref": "Optics Express 2, 123-130 (2001)",
    "title": "Symmetries and solutions of the three-dimensional Paul trap",
    "url": "https://arxiv.org/abs/quant-ph/0011062"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "540a6931-b416-4eaf-a736-c31ebbd5ef4a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}