{
  "annotation_id": "71d0b55b-677b-436a-ac44-703ae9d64531",
  "date_created": "2026-03-02T18:02:44.475000Z",
  "date_modified": "2026-03-02T18:02:44.475000Z",
  "file_hash": "bb7ba2497e806ac445da4e9d9455abc94602a7e6a706dbb89cda0612c58197cf",
  "private": false,
  "record": {
    "abstract": "Using the transformations from paper I, we show that the Schr\\\"odinger\nequations for: (1)systems described by quadratic Hamiltonians, (2) systems with\ntime-varying mass, and (3) time-dependent oscillators, all have isomorphic Lie\nspace-time symmetry algebras. The generators of the symmetry algebras are\nobtained explicitly for each case and sets of number-operator states are\nconstructed. The algebras and the states are used to compute\ndisplacement-operator coherent and squeezed states. Some properties of the\ncoherent and squeezed states are calculated. The classical motion of these\nstates is deomonstrated.",
    "arxiv_id": "quant-ph/9811076",
    "authors": [
      "Michael Martin Nieto",
      "D. Rodney Truax"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.533269",
    "journal_ref": "J.Math.Phys. 41 (2000) 2753-2767",
    "title": "Time-dependent Schr\\\"odinger equations having isomorphic symmetry   algebras. II. Symmetry algebras, coherent and squeezed states",
    "url": "https://arxiv.org/abs/quant-ph/9811076"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "11368abe-97fa-4e34-a21f-82137bf24f27",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}