{
  "annotation_id": "0ae15474-7c95-42b7-b198-f905a8a960c0",
  "date_created": "2026-03-02T18:02:47.510000Z",
  "date_modified": "2026-03-02T18:02:47.510000Z",
  "file_hash": "bdf5f362fc86c0a6c12d7c369b99400989bd56968ee582aa1adada069e941826",
  "private": false,
  "record": {
    "abstract": "We use a path integral formalism to derive the semiclassical series for the\npartition function of a particle in D dimensions. We analyze in particular the\ncase of attractive central potentials, obtaining explicit expressions for the\nfluctuation determinant and for the semiclassical two-point function in the\nspecial cases of the harmonic and single-well quartic anharmonic oscillators.\nThe specific heat of the latter is compared to precise WKB estimates. We\nconclude by discussing the possible extension of our results to field theories.",
    "arxiv_id": "quant-ph/9910055",
    "authors": [
      "C. A. A. de Carvalho",
      "R. M. Cavalcanti",
      "E. S. Fraga",
      "S. E. Jor\u00e1s"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.stat-mech",
      "hep-ph",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevE.61.6392",
    "journal_ref": "Phys.Rev. E61 (2000) 6392",
    "title": "Semiclassical approximation to the partition function of a particle in D   dimensions",
    "url": "https://arxiv.org/abs/quant-ph/9910055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d630b1bd-43a9-4234-9247-441b179996dd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}