{
  "annotation_id": "547fd169-9ea3-4c13-b716-0dfb9ea2c9b4",
  "date_created": "2026-03-02T18:02:27.671000Z",
  "date_modified": "2026-03-02T18:02:27.671000Z",
  "file_hash": "3fc2379e9e053bf32bd9ea883c3d359e20018120bd73e6c59e00e996a415f8bb",
  "private": false,
  "record": {
    "abstract": "We present a semiclassical trace formula for the canonical partition function\nof arbitrary one-dimensional systems. The approximation is obtained via the\nstationary exponent method applied to the phase-space integration of the\ndensity operator in the coherent state representation. The formalism is valid\nin the low temperature limit, presenting accurate results in this regime. As\nillustrations we consider a quartic Hamiltonian that cannot be split into\nkinetic and potential parts, and a system with two local minima. Applications\nto spin systems are also presented.",
    "arxiv_id": "quant-ph/0607140",
    "authors": [
      "Fernando Parisio",
      "M. A. M. de Aguiar"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physa.2007.02.113",
    "journal_ref": "Physica A 380 (2007) 211",
    "title": "A semiclassical trace formula for the canonical partition function of   one dimensional systems",
    "url": "https://arxiv.org/abs/quant-ph/0607140"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d0073b5d-8695-41ce-a056-98a357b971e7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}