{
  "annotation_id": "3f120503-498d-49c6-a9fb-a4d2ff2c7d5f",
  "date_created": "2026-03-02T18:01:28.529000Z",
  "date_modified": "2026-03-02T18:01:28.529000Z",
  "file_hash": "177c8d0363b62846cfc3f1d4f445e35515d18e6d8e9b1e97d511bc5d852bc384",
  "private": false,
  "record": {
    "abstract": "We give a method for obtaining states of massive particle representations of\nthe two-parameter deformation of the Poincar\\\u0027e algebra proposed in\nq-alg/9601010, q-alg/9505030 and q-alg/9501026. We discuss four procedures to\ngenerate eigenstates of a complete set of commuting operators starting from the\nrest state. One result of this work is the fact that upon deforming to the\nquantum Poincar\\\u0027e algebra the rest state is split into an infinite number of\nstates. Another result is that the energy spectrum of these states is discrete.\nSome curious residual degeneracy remains: there are states constructed by\napplying different operators to the rest state which nevertheless are\nindistinguishable by eigenvalues of all the observables in the algebra.",
    "arxiv_id": "q-alg/9703008",
    "authors": [
      "I. Yakushin"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1142/S0217751X98000937",
    "title": "Towards constructing one-particle representations of the deformed   Poincar\\\u0027e algebra",
    "url": "https://arxiv.org/abs/q-alg/9703008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9c8162c5-ac36-4c6e-a26a-5db9e60e8065",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}