{
  "annotation_id": "4b1a30e5-41da-4314-9b95-379d496e0888",
  "date_created": "2026-03-02T18:02:34.712000Z",
  "date_modified": "2026-03-02T18:02:34.712000Z",
  "file_hash": "d06d81d6cb75bea756e4452ef2e4bf8793eeca26902392b2e3bdde5888d20d06",
  "private": false,
  "record": {
    "abstract": "This is the second part of a paper about a q-deformed analog of\nnon-relativistic Schroedinger theory. It applies the general ideas of part I\nand tries to give a description of one-particle states on q-deformed quantum\nspaces like the braided line or the q-deformed Euclidean space in three\ndimensions. Hamiltonian operators for the free q-deformed particle in one as\nwell as three dimensions are introduced. Plane waves as solutions to the\ncorresponding Schroedinger equations are considered. Their completeness and\northonormality relations are written down. Expectation values of position and\nmomentum observables are taken with respect to one-particle states and their\ntime-dependence is discussed. A potential is added to the free-particle\nHamiltonians and q-analogs of the Ehrenfest theorem are derived from the\nHeisenberg equations of motion. The conservation of probability is proved.",
    "arxiv_id": "quant-ph/0703072",
    "authors": [
      "Hartmut Wachter"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Non-relativistic Schroedinger theory on q-deformed quantum spaces II,   The free non-relativistic particle and its interactions",
    "url": "https://arxiv.org/abs/quant-ph/0703072"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0828bc00-45e7-4a93-8313-70a087c87c11",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}