{
  "annotation_id": "7d02c8c7-ebe9-472a-adb9-e04aa4d91a9b",
  "date_created": "2026-03-02T18:02:13.570000Z",
  "date_modified": "2026-03-02T18:02:13.570000Z",
  "file_hash": "38b6e0adabe55de00d4a72860ecdce3d09b97a673c6216b5cab53f2c577fbabe",
  "private": false,
  "record": {
    "abstract": "We consider a semiclassical approximation for the time evolution of an\noriginally gaussian wave packet in terms of complex trajectories. We also\nderive additional approximations replacing the complex trajectories by real\nones. These yield three different semiclassical formulae involving different\nreal trajectories. One of these formulae is Heller\u0027s thawed gaussian\napproximation. The other approximations are non-gaussian and may involve\nseveral trajectories determined by mixed initial-final conditions. These\ndifferent formulae are tested for the cases of scattering by a hard wall,\nscattering by an attractive gaussian potential, and bound motion in a quartic\noscillator. The formula with complex trajectories gives good results in all\ncases. The non-gaussian approximations with real trajectories work well in some\ncases, whereas the thawed gaussian works only in very simple situations.",
    "arxiv_id": "quant-ph/0411117",
    "authors": [
      "M. A. M. de Aguiar",
      "M. Baranger",
      "L. Jaubert",
      "Fernando Parisio",
      "A. D. Ribeiro"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/21/010",
    "journal_ref": "J. Phys. A38 (2005) 4645",
    "title": "Semiclassical Propagation of Wavepackets with Real and Complex   Trajectories",
    "url": "https://arxiv.org/abs/quant-ph/0411117"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ade64e4e-9f43-4bb7-b9a2-3d34951c581f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}