{
  "annotation_id": "e2149237-a843-41bd-93ca-9037a2ad298a",
  "date_created": "2026-03-02T18:02:03.523000Z",
  "date_modified": "2026-03-02T18:02:03.523000Z",
  "file_hash": "c1844d5ecd2611264e0ff844f9e7606ccdb1bcf1db556162cd4bd64976225669",
  "private": false,
  "record": {
    "abstract": "Operator method and cumulant expansion are used for nonperturbative\ncalculation of the partition function and the free energy in quantum\nstatistics. It is shown for Boltzmann diatomic molecular gas with some model\nintermolecular potentials that the zeroth order approximation of the proposed\nmethod interpolates the thermodynamic values with rather good accuracy in the\nentire range of both the Hamiltonian parameters and temperature. The systematic\nprocedure for calculation of the corrections to the zeroth order approximation\nis also considered.",
    "arxiv_id": "quant-ph/0309155",
    "authors": [
      "I. D. Feranchuk",
      "A. A. Ivanov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/42/001",
    "journal_ref": "J. Phys. A: Math. Gen. 2004, Vol.37 P.9841-9860",
    "title": "Operator Method for Nonperturbative Calculation of the Thermodynamic   Values in Quantum Statistics. Diatomic Molecular Gas",
    "url": "https://arxiv.org/abs/quant-ph/0309155"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f4a0ae67-a47c-460c-85ef-6dcdb31722db",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}