{
  "annotation_id": "5259f9da-4837-4833-81b4-5611463fd300",
  "date_created": "2026-03-02T18:02:38.136000Z",
  "date_modified": "2026-03-02T18:02:38.136000Z",
  "file_hash": "f5c11438bf98ef64325e659f7e9fc563932b3c8be8b975bdf82e0048fd5b76c5",
  "private": false,
  "record": {
    "abstract": "A time-dependent unitary (canonical) transformation is found which maps the\nHamiltonian for a harmonic oscillator with time-dependent real mass and real\nfrequency to that of a generalized harmonic oscillator with time-dependent real\nmass and imaginary frequency. The latter may be reduced to an ordinary harmonic\noscillator by means of another unitary (canonical) transformation. A simple\nanalysis of the resulting system leads to the identification of a previously\nunknown class of exactly solvable time-dependent oscillators. Furthermore, it\nis shown how one can apply these results to establish a canonical equivalence\nbetween some real and imaginary frequency oscillators. In particular it is\nshown that a harmonic oscillator whose frequency is constant and whose mass\ngrows linearly in time is canonically equivalent with an oscillator whose\nfrequency changes from being real to imaginary and vice versa repeatedly.",
    "arxiv_id": "quant-ph/9611053",
    "authors": [
      "Ali Mostafazadeh"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevA.55.4084",
    "journal_ref": "Phys.Rev. A55 (1997) 4084-4088",
    "title": "Inverting Time-Dependent Harmonic Oscillator Potential by a Unitary   Transformation and a New Class of Exactly Solvable Oscillators",
    "url": "https://arxiv.org/abs/quant-ph/9611053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "01cafcdc-78f0-4368-9c85-ae8fbe429773",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}