{
  "annotation_id": "aaa3a265-25ba-49fb-9c5a-f9d33f655712",
  "date_created": "2026-03-02T18:02:40.718000Z",
  "date_modified": "2026-03-02T18:02:40.718000Z",
  "file_hash": "8c7f686c0ed6e5114d56396a523d892cb053991e699ad67708b0a7be46558ea9",
  "private": false,
  "record": {
    "abstract": "We use a semiclassical approximation to derive the partition function for an\narbitrary potential in one-dimensional Quantum Statistical Mechanics, which we\nview as an example of finite temperature scalar Field Theory at a point. We\nrely on Catastrophe Theory to analyze the pattern of extrema of the\ncorresponding path-integral. We exhibit the propagator in the background of the\ndifferent extrema and use it to compute the fluctuation determinant and to\ndevelop a (nonperturbative) semiclassical expansion which allows for the\ncalculation of correlation functions. We discuss the examples of the single and\ndouble-well quartic anharmonic oscillators, and the implications of our results\nfor higher dimensions.",
    "arxiv_id": "quant-ph/9803050",
    "authors": [
      "C. A. A. de Carvalho",
      "R. M. Cavalcanti"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.54706",
    "journal_ref": "AIP Conference Proceedings 419, pp 94-104 (1997)",
    "title": "Semiclassical Statistical Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9803050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "44b687f8-ee4d-4952-9231-8f2b33c11603",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}