{
  "annotation_id": "efdaa9dc-09bd-4196-ab74-d02fb92d168a",
  "date_created": "2026-03-02T18:02:44.470000Z",
  "date_modified": "2026-03-02T18:02:44.470000Z",
  "file_hash": "f3743cc36be1c20404da34ec171f021c8a53a6d62c7618e2420a7064da7ca769",
  "private": false,
  "record": {
    "abstract": "Three linearly independent Hermitian invariants for the nonstationary\ngeneralized singular oscillator (SO) are constructed and their complex linear\ncombination is diagonalized. The constructed family of eigenstates contains as\nsubsets all previously obtained solutions for the SO and includes all Robertson\nand Schr\\\"odinger intelligent states for the three invariants. It is shown that\nthe constructed analogues of the SU(1,1) group-related coherent states for the\nSO minimize the Robertson and Schr\\\"odinger relations for the three invariants\nand for every pair of them simultaneously. The squeezing properties of the new\nstates are briefly discussed.",
    "arxiv_id": "quant-ph/9811081",
    "authors": [
      "D. A. Trifonov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/32/19/314",
    "journal_ref": "J.Phys.A32:3649-3661,1999",
    "title": "Exact Solutions for the General Nonstationary Oscillator with a Singular   Perturbation",
    "url": "https://arxiv.org/abs/quant-ph/9811081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "79abee38-1220-4752-b41b-2d9073ca5f58",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}