{
  "annotation_id": "1e81fc6b-5cdf-4af8-8b33-8ca99f72aa07",
  "date_created": "2026-03-02T18:02:13.466000Z",
  "date_modified": "2026-03-02T18:02:13.466000Z",
  "file_hash": "3bd8adc182e8ddbf7f04ef7a40b229e302f2d314b31dd00a746d99034a17ea3a",
  "private": false,
  "record": {
    "abstract": "The applicability of the Lifshitz formula is discussed to the case of two\nthick parallel plates made of real metal. The usual description of the\nzero-point vacuum oscillations on the background of the frequency-dependent\ndielectric permittivity is shown to be in contradiction with thermodynamics.\nInstead, the Lifshitz formula for the Casimir free energy should be\nreformulated in terms of the reflection coefficients containing the surface\nimpedance instead of the dielectric permittivity. This approach is presently\nconfirmed experimentally by precision measurements of the van der Waals and\nCasimir forces in micromechanical systems and it is in agreement with\nthermodynamics.",
    "arxiv_id": "quant-ph/0503064",
    "authors": [
      "V. M. Mostepanenko",
      "A. O. Caride",
      "G. L. Klimchitskaya",
      "S. I. Zanette"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Proc. Sci. WC2004 (2005) 030.",
    "title": "Some Mathematical Aspects of the Lifshitz Formula for the Thermal   Casimir Force",
    "url": "https://arxiv.org/abs/quant-ph/0503064"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0be28839-52fe-4e67-9bee-5829ff0b3213",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}