{
  "annotation_id": "ef08dafc-cc04-49db-96d2-fd24c9fbd121",
  "date_created": "2026-03-02T18:02:41.291000Z",
  "date_modified": "2026-03-02T18:02:41.291000Z",
  "file_hash": "7c4c2fb540cdd1fcc0188653944ff2e3ac252c97833201a62997b5c0da2a3286",
  "private": false,
  "record": {
    "abstract": "We use the definition of a star (or Moyal or twisted) product to give a\nphasespace definition of the $\\zeta$-function. This allows us to derive new\nclosed expressions for the coefficients of the heat kernel in an asymptotic\nexpansion for operators of the form $\\alpha p^2+v(q)$. For the particular case\nof the harmonic oscillator we furthermore find a closed form for the Green\u0027s\nfunction. We also find a relationship between star exponentials, path integrals\nand Wigner functions, which in a simple example gives a relation between the\nstar exponential of the Chern-Simons action and knot invariants.",
    "arxiv_id": "quant-ph/9802031",
    "authors": [
      "Frank Antonsen"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Zeta-Functions and Star-Products",
    "url": "https://arxiv.org/abs/quant-ph/9802031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c12944a4-79bf-4a4e-9a0f-fd066b709dd2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}