{
  "annotation_id": "87902ce5-3bed-476c-a4ea-75d8d7804bfc",
  "date_created": "2026-03-02T18:01:38.437000Z",
  "date_modified": "2026-03-02T18:01:38.437000Z",
  "file_hash": "3129dfffecbafae7fb12174e5f6d6649f568932f6890cb324d7807ea5772beeb",
  "private": false,
  "record": {
    "abstract": "Modification of the right-hand-side of canonical commutation relations (CCR)\nnaturally occurs if one considers a harmonic oscillator with indefinite\nfrequency. Quantization of electromagnetic field by means of such a non-CCR\nalgebra naturally removes the infinite energy of vacuum but still results in a\ntheory which is very similar to quantum electrodynamics. An analysis of\nperturbation theory shows that the non-canonical theory has an automatically\nbuilt-in cut-off but requires charge/mass renormalization already at the\nnonrelativistic level. A simple rule allowing to compare perturbative\npredictions of canonical and non-canonical theories is given. The notion of a\nunique vacuum state is replaced by a set of different vacua. Multi-photon\nstates are defined in the standard way but depend on the choice of vacuum.\nMaking a simplified choice of the vacuum state we estimate corrections to\natomic lifetimes, probabilities of multiphoton spontaneous and stimulated\nemission, and the Planck law. The results are practically identical to the\nstandard ones. Two different candidates for a free-field Hamiltonian are\ncompared.",
    "arxiv_id": "quant-ph/0003091",
    "authors": [
      "Marek Czachor"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "physics.atom-ph"
    ],
    "doi": "10.1088/0305-4470/33/45/307",
    "journal_ref": "J.Phys.A33:8081-8104,2000",
    "title": "Noncanonical quantum optics",
    "url": "https://arxiv.org/abs/quant-ph/0003091"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "44b2e9a5-957e-4d08-82d6-7348a17aff38",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}