{
  "annotation_id": "34a41344-27a8-449a-95da-e8704c88b98c",
  "date_created": "2026-03-02T18:01:45.338000Z",
  "date_modified": "2026-03-02T18:01:45.338000Z",
  "file_hash": "9bfb027206f7ebed2e4050b2c148c4dfffc64288efd88638a22612cfc436ed2c",
  "private": false,
  "record": {
    "abstract": "We present the many-particle Hamiltonian model of Lipkin, Meshkov and Glick\nin the context of deformed polynomial algebras and show that its exact\nsolutions can be easily and naturally obtained within this formalism. The\nHamiltonian matrix of each $j$ multiplet can be split into two submatrices\nassociated to two distinct irreps of the deformed algebra. Their invariant\nsubspaces correspond to even and odd numbers of particle-hole excitations.",
    "arxiv_id": "quant-ph/0106163",
    "authors": [
      "N. Debergh",
      "Fl. Stancu"
    ],
    "categories": [
      "quant-ph",
      "nucl-th"
    ],
    "doi": "10.1088/0305-4470/34/15/305",
    "journal_ref": "J.Phys.A34:3265-3276,2001",
    "title": "On the exact solutions of the Lipkin-Meshkov-Glick model",
    "url": "https://arxiv.org/abs/quant-ph/0106163"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "894f73e6-9960-49c3-919f-a16b80ba577a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}