{
  "annotation_id": "92256d01-4174-4834-8f8f-f2fd71fa5ff0",
  "date_created": "2026-03-02T18:02:37.043000Z",
  "date_modified": "2026-03-02T18:02:37.043000Z",
  "file_hash": "078de85663927e6678891873b0bd9803a69ff9ad9c6fc2416734aa8f58daf6ca",
  "private": false,
  "record": {
    "abstract": "For a time-dependent harmonic oscillator with an inverse squared singular\nterm, we find the generalized invariant using the Lie algebra of $SU(2)$ and\nconstruct the number-type eigenstates and the coherent states using the\nspectrum-generating Lie algebra of $SU(1,1)$. We obtain the evolution operator\nin both of the Lie algebras. The number-type eigenstates and the coherent\nstates are constructed group-theoretically for both the time-independent and\nthe time-dependent harmonic oscillators with the singular term. It is shown\nthat the squeeze operator transforms unitarily the time-dependent basis of the\nspectrum-generating Lie algebra of $SU(1,1)$ for the generalized invariant, and\nthereby evolves the initial vacuum into a final coherent vacuum.",
    "arxiv_id": "quant-ph/9511013",
    "authors": [
      "Jung Kon Kim",
      "Sang Pyo Kim"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "J.Korean Phys.Soc. 28 (1995) 7",
    "title": "Group Theoretical Approach to the Coherent and the Squeeze States of a   Time-Dependent Harmonic Oscillator with a Singular Term",
    "url": "https://arxiv.org/abs/quant-ph/9511013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "48397cdf-b0b6-4289-8167-e018ea3eddd6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}