{
  "annotation_id": "018aa61b-d081-4015-a00c-8a7d921caa82",
  "date_created": "2026-03-02T18:01:52.930000Z",
  "date_modified": "2026-03-02T18:01:52.930000Z",
  "file_hash": "8ed0a56c93e31a71870e1a79b4425d4ce3a85609f67ad756d0e9d2c9af459482",
  "private": false,
  "record": {
    "abstract": "Explicit path integration is carried out for the Green\u0027s functions of special\nrelativistic harmonic oscillators in (1+1)- and (3+1)-dimensional Minkowski\nspace-time modeled by a Klein-Gordon particle in the universal covering\nspace-time of the anti-de Sitter static space-time. The energy spectrum\ntogether with the normalized wave functions are obtained. In the\nnon-relativistic limit, the bound states of the one- and three-dimensional\nordinary oscillators are regained.",
    "arxiv_id": "quant-ph/0210101",
    "authors": [
      "M. T. Chefrour",
      "F. Benamira",
      "L. Guechi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1140/epjc/s2003-01164-x",
    "journal_ref": "Eur.Phys.J.C 28 (2003) 3, 395-403",
    "title": "Path integral for relativistic oscillators: model of the Klein-Gordon   particle in AdS space",
    "url": "https://arxiv.org/abs/quant-ph/0210101"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e854b7c4-6835-4bb9-a53e-fea770a62d50",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}