{
  "annotation_id": "e5333706-450b-472d-83b4-a00d689ae6d0",
  "date_created": "2026-03-02T18:01:58.993000Z",
  "date_modified": "2026-03-02T18:01:58.993000Z",
  "file_hash": "4d3e3343dc949b963c5e3a30fcbef00f0445ea0428b19ddd6b24405566797b30",
  "private": false,
  "record": {
    "abstract": "The Darbroux transformation is generalized for time-dependent Hamiltonian\nsystems which include a term linear in momentum and a time-dependent mass. The\nformalism for the $N$-fold application of the transformation is also\nestablished, and these formalisms are applied for a general quadratic system (a\ngeneralized harmonic oscillator) and a quadratic system with an inverse-square\ninteraction up to N=2. Among the new features found, it is shown, for the\ngeneral quadratic system, that the shape of potential difference between the\noriginal system and the transformed system could oscillate according to a\nclassical solution, which is related to the existence of coherent states in the\nsystem.",
    "arxiv_id": "quant-ph/0305174",
    "authors": [
      "Dae-Yup Song",
      "John R. Klauder"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/32/308",
    "journal_ref": "J. Phys. A: Math. Gen. 36 (15 August 2003) 8673-8684",
    "title": "Generalization of the Darboux transformation and generalized harmonic   oscillators",
    "url": "https://arxiv.org/abs/quant-ph/0305174"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13326050-9e32-4b26-ab33-83cc6a6a2a23",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}