{
  "annotation_id": "4a567238-6347-42ba-adaf-cd5b96fe8a72",
  "date_created": "2026-03-02T18:02:41.534000Z",
  "date_modified": "2026-03-02T18:02:41.534000Z",
  "file_hash": "15d7d8d2c831c45fe1f497912ff092419ebb7e3cab8a1c3b63d43392b9e3cda4",
  "private": false,
  "record": {
    "abstract": "We have found a new class of time dependent partial waves which are solutions\nof time dependent Schr\\\"odinger equation for three dimensional harmonic\noscillator. We also showed the decomposition of coherent states of harmonic\noscillator into these partial waves. This decomposition appears perticularly\nconvenient for a description of the dynamics of a wave packet representing a\nparticle with spin when the spin--orbit interaction is present in the\nhamiltonian. An example of an evolution of a localized wave packet into a torus\nand backwards, for a particular initial conditions is analysed in analytical\nterms and shown with a computer graphics.",
    "arxiv_id": "quant-ph/9702043",
    "authors": [
      "R. Arvieu",
      "P. Rozmej",
      "W. Berej"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/30/15/023",
    "journal_ref": "J.Phys.A30:5381-5392,1997",
    "title": "Time dependent partial waves and vortex rings in the dynamics of wave   packets",
    "url": "https://arxiv.org/abs/quant-ph/9702043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "78b30d9c-469b-410b-b1d9-be3cc836464f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}