{
  "annotation_id": "2fb0b888-f43c-4ff4-9667-642356d6ffe7",
  "date_created": "2026-03-02T18:02:13.580000Z",
  "date_modified": "2026-03-02T18:02:13.580000Z",
  "file_hash": "308f7c7886ef0fc769136cfd9a3caf704a4ee4fd0d86e64bf002e6f198748aea",
  "private": false,
  "record": {
    "abstract": "We consider a single anharmonic oscillator with frequency $\\omega$ and\ncoupling constant $\\lambda$ respectively, in the strong-coupling regime. We are\nassuming that the system is in thermal equilibrium with a reservoir at\ntemperature $\\beta^{-1}$. Using the strong-coupling perturbative expansion, we\nobtain the partition function for the oscillator in the regime\n$\\lambda\u003e\u003e\\omega$, up to the order $\\frac{1}{\\sqrt{\\lambda}}$. To obtain this\nresult, we use of a combination of Klauder\u0027s independent-value generating\nfunctional (Acta Phys. Austr. {\\bf 41}, 237 (1975)), and the generalized\nzeta-function method. The free energy and the mean energy, up to the order\n$\\frac{1}{\\sqrt{\\lambda}}$, are also presented. We are showing that the\nthermodynamics quantities are nonanalytic in the coupling constant.",
    "arxiv_id": "quant-ph/0503080",
    "authors": [
      "N. F. Svaiter"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physa.2005.12.067",
    "title": "The Partition Function for the Anharmonic Oscillator in the   Strong-Coupling Regime",
    "url": "https://arxiv.org/abs/quant-ph/0503080"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d7d74d4-c8c9-4b02-a8ab-4e80f7d2a377",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}