{
  "annotation_id": "90367262-d977-4f5e-ad1c-98e73243206c",
  "date_created": "2026-03-02T18:02:20.479000Z",
  "date_modified": "2026-03-02T18:02:20.479000Z",
  "file_hash": "e33d124e08ddd905d9e436f8d25134130b18cdc9296743895da7aedce44f0d63",
  "private": false,
  "record": {
    "abstract": "This paper revisits the quantum mechanics for one photon from the modern\nviewpoint and by the geometrical method. Especially, besides the ordinary\n(rectangular) momentum representation, we provide an explicit derivation for\nthe other two important representations, called the cylindrically symmetrical\nrepresentation and the spherically symmetrical representation, respectively.\nThese other two representations are relevant to some current photon experiments\nin quantum optics. In addition, the latter is useful for us to extract the\ninformation on the quantized black holes. The framework and approach presented\nhere are also applicable to other particles with arbitrary mass and spin, such\nas the particle with spin 1/2.",
    "arxiv_id": "quant-ph/0509216",
    "authors": [
      "Yapeng Hu",
      "Weigang Qiu",
      "Hongbao Zhang"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.2200572",
    "journal_ref": "J.Math.Phys. 47 (2006) 052304",
    "title": "On the Quantum Mechanics for One Photon",
    "url": "https://arxiv.org/abs/quant-ph/0509216"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a1a52dcf-1dce-430e-80f4-054d7238c4af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}