{
  "annotation_id": "8d09021b-6e0d-458e-b918-a71c1459e345",
  "date_created": "2026-03-02T18:02:47.993000Z",
  "date_modified": "2026-03-02T18:02:47.993000Z",
  "file_hash": "0df1eb8f32ef962ff4c4af35d35e1bb0dc213a6a549619eac58b52bc4159cc4f",
  "private": false,
  "record": {
    "abstract": "We attack the specific time-dependent Hamiltonian problem H=-{1/2} (t_o/t)^a\n\\partial_{xx} + (1/2) \\omega^2 (t/t_o)^b x^2. This corresponds to a\ntime-dependent mass (TM) Schr\\\"odinger equation. We give the specific\ntransformations to a different time-dependent quadratic Schr\\\"odinger equations\n(TQ) and to a different time-dependent oscillator (TO) equation. For each\nSchr\\\"odinger system, we give the Lie algebra of space-time symmetries, the\nnumber states, the squeezed-state \u003cx\u003e and \u003cp\u003e (with their classical motion),\n(\\Delta x)^2, (\\Delta p)^2, and the uncertainty product.",
    "arxiv_id": "quant-ph/9911095",
    "authors": [
      "Michael Martin Nieto",
      "D. Rodney Truax"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1006/aphy.2001.6145",
    "journal_ref": "Ann. Phys. 292 (2001) 23",
    "title": "The Schr\\\"odinger system H=-{1/2} (t_o/t)^a \\partial_{xx} + (1/2)   \\omega^2 (t/t_o)^b x^2",
    "url": "https://arxiv.org/abs/quant-ph/9911095"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eed67eee-9c76-452f-86eb-bbffc87fe367",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}