{
  "annotation_id": "e87a4820-8115-4501-8a75-b3222f7faf7f",
  "date_created": "2026-03-02T18:02:45.029000Z",
  "date_modified": "2026-03-02T18:02:45.029000Z",
  "file_hash": "a08e976551e235e1b58e70cbc2f70d3a7d9ebde4ad68946cc1e8cf226707360d",
  "private": false,
  "record": {
    "abstract": "In the variational approach to quantum statistics, a smearing formula\ndescribes efficiently the consequences of quantum fluctuations upon an\ninteraction potential. The result is an effective classical potential from\nwhich the partition function can be obtained by a simple integral. In this\nwork, the smearing formula is extended to higher orders in the variational\nperturbation theory. An application to the singular Coulomb potential exhibits\nthe same fast convergence with increasing orders that has been observed in\nprevious variational perturbation expansions of the anharmonic oscillator with\nquartic potential.",
    "arxiv_id": "quant-ph/9806016",
    "authors": [
      "Hagen Kleinert",
      "Werner Kuerzinger",
      "Axel Pelster"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/31/41/005",
    "journal_ref": "J.Phys.A31:8307-8321,1998",
    "title": "Smearing Formula for Higher-Order Effective Classical Potentials",
    "url": "https://arxiv.org/abs/quant-ph/9806016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "65c10ad0-f0cc-4b49-8410-89a75fa676bd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}