{
  "annotation_id": "02e17a5d-eeb4-4bde-a079-fe0e2aa4f570",
  "date_created": "2026-03-02T18:02:23.622000Z",
  "date_modified": "2026-03-02T18:02:23.622000Z",
  "file_hash": "05b70704a1a3028ad3183e0e107de1276b49c4aa161b92d5ed3fe83bde29fb3b",
  "private": false,
  "record": {
    "abstract": "We study the semiclassical Wigner-Kirkwood (WK) expansion of the partition\nfunction $Z(t)$ for arbitrary even homogeneous potentials, starting from the\nBloch equation. As is well known, the phase-space kernel of $Z$ satisfies the\nso-called Uhlenbeck-Beth equation, which depends on the gradients of the\npotential. We perform a chain of transformations to obtain novel forms of this\nequation that invite analogies with various physical phenomena and formalisms,\nsuch as diffusion processes, the Fokker-Planck equation, and supersymmetric\nquantum mechanics.",
    "arxiv_id": "quant-ph/0602041",
    "authors": [
      "S. G. Matinyan",
      "B. M\u00fcller"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/39/18/L05",
    "journal_ref": "J.Phys. A39 (2006) L285-L292",
    "title": "The Partition Function in the Wigner-Kirkwood expansion",
    "url": "https://arxiv.org/abs/quant-ph/0602041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "117072f3-7207-4780-b2a1-fe4120f48afb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}