{
  "annotation_id": "e5694cfa-c443-4f54-b5a9-0341cc71d11a",
  "date_created": "2026-03-02T18:00:04.003000Z",
  "date_modified": "2026-03-02T18:00:04.003000Z",
  "file_hash": "510406635b3580485324f46b6c29b59e14f7340f34a676361ca7414908492e11",
  "private": false,
  "record": {
    "abstract": "Following the Schwinger boson representation for the su(M+1)- and the\nsu(N,1)-algebra presented by two of the present authors (J. da P. and M. Y.)\nand Kuriyama, a possible counterpart of the Lipkin model in the su(M+1)-algebra\nformulated in the fermion space is presented. The free vacuum, which plays a\nfundamental role in the conventional treatment of the Lipkin model, is\ngeneralized in a quite natural way, and further, the excited state generating\noperators such as the particle-hole pairs are also given in a natural scheme.\nAs concrete examples, the cases of the su(2)-, su(3)- and the su(4)-algebra are\ndiscussed. Especially, the case of the su(4)-algebra is investigated in detail\nin relation to the nucleon pairing correlations and the high temperature\nsuperconductivity.",
    "arxiv_id": "nucl-th/0504024",
    "authors": [
      "C. Providencia",
      "J. da Providencia",
      "Y. Tsue",
      "M. Yamamura"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1143/PTP.114.57",
    "title": "The Lipkin Model in the su(M+1)-Algebra for Many-Fermion System and its   Counterpart in the Schwinger Boson Representation",
    "url": "https://arxiv.org/abs/nucl-th/0504024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "91da4e76-dd0c-43f9-8cb9-6e8446778214",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}