{
  "id": "quant-ph/9910055",
  "version": "v2",
  "published": "1999-10-13T23:22:38.000Z",
  "updated": "2000-03-15T01:01:05.000Z",
  "title": "Semiclassical approximation to the partition function of a particle in D dimensions",
  "authors": [
    "C. A. A. de Carvalho",
    "R. M. Cavalcanti",
    "E. S. Fraga",
    "S. E. Jorás"
  ],
  "comment": "REVTEX,14 pages, 2 figures, final version to appear in Phys. Rev. E",
  "journal": "Phys.Rev. E61 (2000) 6392",
  "doi": "10.1103/PhysRevE.61.6392",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "hep-ph",
    "hep-th"
  ],
  "abstract": "We use a path integral formalism to derive the semiclassical series for the partition function of a particle in D dimensions. We analyze in particular the case of attractive central potentials, obtaining explicit expressions for the fluctuation determinant and for the semiclassical two-point function in the special cases of the harmonic and single-well quartic anharmonic oscillators. The specific heat of the latter is compared to precise WKB estimates. We conclude by discussing the possible extension of our results to field theories.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-03-15T01:01:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition function",
      "semiclassical approximation",
      "dimensions",
      "single-well quartic anharmonic oscillators",
      "precise wkb estimates"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 508673
    }
  }
}