{
  "annotation_id": "a06945e1-002e-46d5-a259-990542f84d5d",
  "date_created": "2026-03-02T18:02:13.081000Z",
  "date_modified": "2026-03-02T18:02:13.081000Z",
  "file_hash": "7790b9a67ba36aa44852dd04c8141b4429b11d43526732db27af645e9f0d0ec1",
  "private": false,
  "record": {
    "abstract": "A non-perturbative quantization of a paraxial electromagnetic field is\nachieved via a generalized dispersion relation imposed on the longitudinal and\nthe transverse components of the photon wave vector. The theoretical formalism\nyields a seamless transition between the paraxial- and the Maxwell-equation\nsolutions. This obviates the need to introduce either \"ad hoc\" or\nperturbatively-defined field operators. In the limit of narrow beam-like\nfields, the theory is in agreement with approximated quantization schemes\nprovided by other authors.",
    "arxiv_id": "quant-ph/0502164",
    "authors": [
      "A. Aiello",
      "J. P. Woerdman"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.72.060101",
    "title": "Exact Paraxial Quantization",
    "url": "https://arxiv.org/abs/quant-ph/0502164"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "75f4d41c-68a4-4164-8514-b6cce62782e1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}