{
  "annotation_id": "a240992d-dbfa-4c89-a8f2-14fd0fe6893b",
  "date_created": "2026-03-02T18:02:34.712000Z",
  "date_modified": "2026-03-02T18:02:34.712000Z",
  "file_hash": "a15c02413b799eb9c12131554c17609b9f56b778d38d7bbbdee7628176f8c871",
  "private": false,
  "record": {
    "abstract": "This is the third part of a paper about non-relativistic Schroedinger theory\non q-deformed quantum spaces like the braided line or the three-dimensional\nq-deformed Euclidean space. Propagators for the free q-deformed particle are\nderived and their basic properties are discussed. A time-dependent formulation\nof scattering is proposed. In this respect, q-analogs of the Lippmann-Schwinger\nequation are given. Expressions for their iterative solutions are written down.\nIt is shown how to calculate S-matrices and transition probabilities.\nFurthermore, attention is focused on the question what becomes of unitarity of\nS-matrices in a q-deformed setting. The examinations are concluded by a\ndiscussion of the interaction picture and its relation to scattering processes.",
    "arxiv_id": "quant-ph/0703073",
    "authors": [
      "Hartmut Wachter"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Non-relativistic Schroedinger theory on q-deformed quantum spaces III,   Scattering theory",
    "url": "https://arxiv.org/abs/quant-ph/0703073"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5ae8be3a-d0c0-4631-a37c-b93059083d92",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}