{
  "annotation_id": "3647bf17-c05a-45cd-a120-9882d568984c",
  "date_created": "2026-03-02T18:01:38.672000Z",
  "date_modified": "2026-03-02T18:01:38.672000Z",
  "file_hash": "a6dc57512643413f8d7e338466a227d8fef60f0692546f9ead0d32e29c43b7fc",
  "private": false,
  "record": {
    "abstract": "A semiclassical formula for the coherent-state propagator requires the\ndetermination of specific classical paths inhabiting a complex phase-space\nthrough a Hamiltonian flux. Such trajectories are constrained to special\nboundary conditions which render their determination difficult by common\nmethods. In this paper we present a new method based on Runge-Kutta integrator\nfor a quick, easy and accurate determination of these trajectories. Using\nnonlinear one dimensional systems we show that the semiclassical formula is\nhighly accurate as compared to its exact counterpart . Further we clarify how\nthe phase of the semiclassical approximation is correctly retrieved under time\nevolution.",
    "arxiv_id": "quant-ph/0009114",
    "authors": [
      "A. L. Xavier Jr"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1590/S0103-97332001000300018",
    "title": "New method for obtaining complex roots in the semiclassical   coherent-state propagator formula",
    "url": "https://arxiv.org/abs/quant-ph/0009114"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a1d115ae-cf4c-48a3-b905-4673c7757e99",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}