{
  "annotation_id": "1a3559fd-3181-4526-86e9-c430742996e8",
  "date_created": "2026-03-02T18:02:38.121000Z",
  "date_modified": "2026-03-02T18:02:38.121000Z",
  "file_hash": "b2efb9de8d16b6c77ce518096d078a00caedc8a1ed03b84fcaa7c0627a7a2850",
  "private": false,
  "record": {
    "abstract": "We show how nonrelativistic many body techniques can be used to study quantum\ncorrections to the classical limit, in particular of the $SU(2)$ Lipkin Model.\nWe show that the quantum corrections are essentially of two types: unitary and\nnonunitary. In this work we perform a detailed study of the unitary\ncorrections. They can be cast in Hamiltonian form and are shown to double the\nnumber of degrees of freedom. As a consequence chaotic behavior emerges. We\nshow that this semiquantal chaos is the mechanism trough which tunneling is\neffected. We also show that these corrections systematically improve the\nclassical results and propose some quantitative measure of this improvement.",
    "arxiv_id": "quant-ph/9610020",
    "authors": [
      "M. Trindade dos Santos",
      "M. C. Nemes"
    ],
    "categories": [
      "quant-ph",
      "chao-dyn",
      "hep-th",
      "nlin.CD"
    ],
    "title": "Quantum Corrections to the Classical Dynamics: Application to the SU(2)   Lipkin Model",
    "url": "https://arxiv.org/abs/quant-ph/9610020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6ba6a9cb-6aab-416e-8f0d-630a2e3716d3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}