{
  "annotation_id": "4bbb7b41-b6fc-4ed5-bc73-8641d1481485",
  "date_created": "2026-03-02T18:02:41.705000Z",
  "date_modified": "2026-03-02T18:02:41.705000Z",
  "file_hash": "745e67f3babe5faa28df12a6258c7bc1724a98c0cd95e8b92737467be89d5c64",
  "private": false,
  "record": {
    "abstract": "A quantization scheme for the phenomenological Maxwell theory of the full\nelectromagnetic field in an inhomogeneous three-dimensional, dispersive and\nabsorbing dielectric medium is developed. The classical Maxwell equations with\nspatially varying and Kramers-Kronig consistent permittivity are regarded as\noperator-valued field equations, introducing additional current- and\ncharge-density operator fields in order to take into account the noise\nassociated with the dissipation in the medium. It is shown that the equal-time\ncommutation relations between the fundamental electromagnetic fields $\\hat E$\nand $\\hat B$ and the potentials $\\hat A$ and $\\hat \\phi$ in the Coulomb gauge\ncan be expressed in terms of the Green tensor of the classical problem. From\nthe Green tensors for bulk material and an inhomogeneous medium consisting of\ntwo bulk dielectrics with a common planar interface it is explicitly proven\nthat the well-known equal-time commutation relations of QED are preserved.",
    "arxiv_id": "quant-ph/9711039",
    "authors": [
      "Ho Trung Dung",
      "L. Knoell",
      "D. -G. Welsch"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.57.3931",
    "title": "Three-dimensional quantization of the electromagnetic field in   dispersive and absorbing inhomogeneous dielectrics",
    "url": "https://arxiv.org/abs/quant-ph/9711039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "907287ef-963e-467b-b7cf-ffcee2bcf0fb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}