{
  "annotation_id": "0f494778-3fe0-4681-b2c4-5bd2a2d504e8",
  "date_created": "2026-03-02T18:02:47.992000Z",
  "date_modified": "2026-03-02T18:02:47.992000Z",
  "file_hash": "dc46b33ea46e14ce192240510ccc0054c4fbce2b7f91ffb3713d1ccb5c3ab03f",
  "private": false,
  "record": {
    "abstract": "In this paper, we attack the specific time-dependent Hamiltonian problem\nH=-{1/2}e^{\\Upsilon(t-t_o)}\\partial_{xx}\n+\\lfrac{1}{2}\\omega^2e^{-\\Upsilon(t-t_o)}x^2. This corresponds to a\ntime-dependent mass (TM) Schr\\\"odinger equation. We give the specific\ntransformations to i) the more general quadratic (TQ) Schr\\\"odinger equation\nand to ii) 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 coherent states, the squeezed-states and the time-dependent\n\u003cx\u003e, \u003cp\u003e, (\\Delta x)^2, (\\Delta p)^2, and uncertainty product.",
    "arxiv_id": "quant-ph/9911094",
    "authors": [
      "Michael Martin Nieto",
      "D. Rodney Truax"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1006/aphy.2001.6144",
    "journal_ref": "Ann. Phys. 292 (2001) 1",
    "title": "The Schr\\\"odinger system H=-{1/2}e^{\\Upsilon(t-t_o)}\\partial_{xx}   +\\lfrac{1}{2}\\omega^2e^{-\\Upsilon(t-t_o)}x^2",
    "url": "https://arxiv.org/abs/quant-ph/9911094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4aa6e92d-d8c5-40b4-af65-1d26c2b757ea",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}