{
  "annotation_id": "ac9268e5-e30c-4644-a0d6-91d7cb74491b",
  "date_created": "2026-03-02T18:02:47.930000Z",
  "date_modified": "2026-03-02T18:02:47.930000Z",
  "file_hash": "588a2deb25df8ef4257b8123ad1061d6c19332250a887ea22bf16c4a5b1163ce",
  "private": false,
  "record": {
    "abstract": "Consistent quantum formalism based on the localized basis of the Wannirer\nfunctions in Heisenberg and Schrodinger pictures to describe propagation of\nelectromagnetic field in a three dimensional media including diffraction is\npresented. In the Schrodinger picture the Fokker-Planck equation for the\nGlauber-Sudarshan quasiprobability and corresponding Langevin equations are\ngiven. As result the space-time description is obtained by a simple changing\nvariables in the temporal master equation of the field. Using this formalism it\nis shown that the existence of integrals of motion in the propagation of light\nin a medium under the condition of nondegenerated parametric and two-photon\ninteractions results in amplification of modes when nonclassical properties of\nthe light are conserved. Quantum propagation of light in a linear medium taking\ninto account the diffraction is considered and its solution is found.",
    "arxiv_id": "quant-ph/9910013",
    "authors": [
      "V. N. Gorbachev",
      "A. I. Zhiliba"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/33/20/304",
    "title": "Transfer formalism for quantum optics problems",
    "url": "https://arxiv.org/abs/quant-ph/9910013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bfdb28a3-1f91-428e-83ae-d32cc8c02891",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}