{
  "annotation_id": "d685b0a8-015c-42d6-b92d-c016182915fd",
  "date_created": "2026-03-02T18:00:29.229000Z",
  "date_modified": "2026-03-02T18:00:29.229000Z",
  "file_hash": "4cdc89a5d05c05e9314348f97ee809175489e5aee342c58bbb61b3fc722bc69d",
  "private": false,
  "record": {
    "abstract": "Starting from a solution of the problem of a mechanical oscillator coupled to\na scalar field inside a reflecting sphere of radius $R$, we study the behaviour\nof the system in free space as the limit of an arbitrarily large radius in the\nconfined solution. From a mathematical point of view we show that this way of\nfacing the problem is not equivalent to consider the system {\\it a} {\\it\npriori} embedded in infinite space. In particular, the matrix elements of the\ntransformation turning the system to principal axis, do not tend to\ndistributions in the limit of an arbitrarily large sphere as it should be the\ncase if the two procedures were mathematically equivalent. Also, we introduce\n\"dressed\" coordinates which allow an exact description of the oscillator\nradiation process for any value of the coupling, strong or weak. In the case of\nweak coupling, we recover from our exact expressions the well known decay\nformulas from perturbation theory.",
    "arxiv_id": "physics/0001009",
    "authors": [
      "N. P. Andion",
      "A. P. C. Malbouisson",
      "A. Mattos Neto"
    ],
    "categories": [
      "physics.atom-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/34/18/303",
    "journal_ref": "J.Phys.A34:3735-3750,2001",
    "title": "An Exact Approach to the Oscillator Radiation Process in an Arbitrarily   Large Cavity",
    "url": "https://arxiv.org/abs/physics/0001009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e35d7dd-7258-4641-839c-234007ec0fb0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}