{
  "annotation_id": "a961863f-72d9-4ac4-a49e-b8a20514cc60",
  "date_created": "2026-03-02T18:02:10.344000Z",
  "date_modified": "2026-03-02T18:02:10.344000Z",
  "file_hash": "32320573f55378818200c45201513f9689ef44845249a6ec57726b40abadbc63",
  "private": false,
  "record": {
    "abstract": "We consider the Fermi quantization of the classical damped harmonic\noscillator (dho). In past work on the subject, authors double the phase space\nof the dho in order to close the system at each moment in time. For an\ninfinite-dimensional phase space, this method requires one to construct a\nrepresentation of the CAR algebra for each time. We show that unitary dilation\nof the contraction semigroup governing the dynamics of the system is a logical\nextension of the doubling procedure, and it allows one to avoid the\nmathematical difficulties encountered with the previous method.",
    "arxiv_id": "quant-ph/0410078",
    "authors": [
      "D. C. Latimer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/9/012",
    "journal_ref": "J.Phys. A38 (2005) 2021-2028",
    "title": "Quantizing the damped harmonic oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0410078"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eb5d00c5-ba77-458d-93c2-759589f8e3c5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}