{
  "annotation_id": "2e23c85e-c591-48a1-9d17-c2f71a1d848d",
  "date_created": "2026-03-02T18:02:44.902000Z",
  "date_modified": "2026-03-02T18:02:44.902000Z",
  "file_hash": "f364939ace336f7e9be2fdc850308df9cca5ad7ae2721658289a288fb309d4d4",
  "private": false,
  "record": {
    "abstract": "We outline a method based on successive canonical transformations which\nyields a product expansion for the evolution operator of a general (possibly\nnon-Hermitian) Hamiltonian. For a class of such Hamiltonians this expansion\ninvolves a finite number of terms, and our method gives the exact solution of\nthe corresponding time-dependent Schroedinger equation. We apply this method to\nstudy the dynamics of a general nondegenerate two-level quantum system, a\ntime-dependent classical harmonic oscillator, and a degenerate system\nconsisting of a spin 1 particle interacting with a time-dependent electric\nfield E(t) through the Stark Hamiltonian H=\\lambda [J.E(t)]^2.",
    "arxiv_id": "quant-ph/9904026",
    "authors": [
      "Ali Mostafazadeh"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th"
    ],
    "doi": "10.1063/1.532889",
    "journal_ref": "J.Math.Phys. 40 (1999) 3311-3326",
    "title": "Generalized Adiabatic Product Expansion: A nonperturbative method of   solving time-dependent Schroedinger equation",
    "url": "https://arxiv.org/abs/quant-ph/9904026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f54b3b01-0313-4c0f-b106-9357b1e73324",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}