{
  "annotation_id": "ddb785f4-ca95-4dfb-8d2d-b73a9b76748f",
  "date_created": "2026-03-02T18:02:34.659000Z",
  "date_modified": "2026-03-02T18:02:34.659000Z",
  "file_hash": "76fc7b6daec18775f8748e69d64fc6f40ac16e7c37a7ff55a6ffe652f89edeb1",
  "private": false,
  "record": {
    "abstract": "Our previous work on quantum kinematics and coherent states over finite\nconfiguration spaces is extended: the configuration space is, as before, the\ncyclic group Z_n of arbitrary order n=2,3,..., but a larger group - the\nnon-Abelian dihedral group D_n - is taken as its symmetry group. The\ncorresponding group related coherent states are constructed and their\novercompleteness proved. Our approach based on geometric symmetry can be used\nas a kinematic framework for matrix methods in quantum chemistry of ring\nmolecules.",
    "arxiv_id": "quant-ph/0702180",
    "authors": [
      "P. Luft",
      "G. Chadzitaskos",
      "J. Tolar"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1751-8113/40/18/010",
    "journal_ref": "J. Phys. A: Math. Theor. 40 (2007), 4833-4845",
    "title": "Dihedral symmetry of periodic chain: quantization and coherent states",
    "url": "https://arxiv.org/abs/quant-ph/0702180"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "07986fde-65b4-45ff-9e46-979e19b7a05c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}