{
  "annotation_id": "9cb6cc26-fa1d-4ae6-8166-f6a9df470664",
  "date_created": "2026-03-02T18:02:34.698000Z",
  "date_modified": "2026-03-02T18:02:34.698000Z",
  "file_hash": "948e9a8e3b027343d663743b6ee13b3f37efe5ddc7669df2fbb31daea9f40564",
  "private": false,
  "record": {
    "abstract": "The aim of these three papers (I, II, and III) is to develop a q-deformed\nversion of non-relativistic Schroedinger theory. Paper I introduces the\nfundamental mathematical and physical concepts. The braided line and the\nthree-dimensional q-deformed Euclidean space play the role of position space.\nFor both cases the algebraic framework is extended by a time element. A short\nreview of the elements of q-deformed analysis on the spaces under consideration\nis given. The time evolution operator is introduced in a consistent way and its\nbasic properties are discussed. These reasonings are continued by proposing\nq-deformed analogs of the Schroedinger and the Heisenberg picture.",
    "arxiv_id": "quant-ph/0703070",
    "authors": [
      "Hartmut Wachter"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Non-relativistic Schroedinger theory on q-deformed quantum spaces I,   Mathematical framework and equations of motion",
    "url": "https://arxiv.org/abs/quant-ph/0703070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ae8f30bc-0b6d-40c5-ad68-fcf3c6287693",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}