{
  "annotation_id": "acf939f2-96e6-421a-bfc4-5e16850f6524",
  "date_created": "2026-03-02T18:02:47.992000Z",
  "date_modified": "2026-03-02T18:02:47.992000Z",
  "file_hash": "1cd6eee8e4ed17c3201bb69da7988ffb10f54bcde19cb94f398afe5fed51071f",
  "private": false,
  "record": {
    "abstract": "We present some general results for the time-dependent mass Hamiltonian\nproblem with H=-{1/2}e^{-2\\nu}\\partial_{xx} +h^{(2)}(t)e^{2\\nu}x^2. This\nHamiltonian corresponds to a time-dependent mass (TM) Schr\\\"odinger equation\nwith the restriction that there are only P^2 and X^2 terms. We give the\nspecific transformations to a different quantum Schr\\\"odinger(TQ) equation and\nto a different time-dependent oscillator (TO) equation. For each Schr\\\"odinger\nsystem, we give the Lie algebra of space-time symmetries and (x,t)\nrepresentations for number states, coherent states, and squeezed states. These\ngeneral results include earlier work as special cases.",
    "arxiv_id": "quant-ph/9911093",
    "authors": [
      "Michael Martin Nieto",
      "D. Rodney Truax"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Schr\\\"odinger equations with time-dependent P^2 and X^2 terms",
    "url": "https://arxiv.org/abs/quant-ph/9911093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c97fd328-b6f8-4a9a-b2af-7ca40e49c906",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}