{
  "annotation_id": "72cb0921-d332-48f4-83ee-e2c1bc90eec4",
  "date_created": "2026-03-02T18:02:06.946000Z",
  "date_modified": "2026-03-02T18:02:06.946000Z",
  "file_hash": "b384f3a94ea1aec3ea93888fdde660453318f38e421924569b6b0589a9c2d396",
  "private": false,
  "record": {
    "abstract": "Darboux transformation of both Barut-Girardello and Perelomov coherent states\nfor the time-dependent singular oscillator is studied. In both cases the\nmeasure that realizes the resolution of the identity operator in terms of\ncoherent states is found and corresponding holomorphic representation is\nconstructed. For the particular case of a free particle moving with a fixed\nvalue of the angular momentum equal to two it is shown that Barut-Giriardello\ncoherent states are more localized at the initial time moment while the\nPerelomov coherent states are more stable with respect to time evolution. It is\nalso illustrated that Darboux transformation may keep unchanged this different\ntime behavior.",
    "arxiv_id": "quant-ph/0401093",
    "authors": [
      "Boris F. Samsonov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/43/017",
    "journal_ref": "J. Phys. A: Math. Gen. 37 (2004) 10273-10286",
    "title": "Darboux transformations of coherent states of the time-dependent   singular oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0401093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "538ee73d-aebf-4d2f-9d43-6bbe5c246dea",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}