{
  "annotation_id": "6e7cdf76-3b6f-427d-912e-adebe160d4a5",
  "date_created": "2026-03-02T18:02:13.632000Z",
  "date_modified": "2026-03-02T18:02:13.632000Z",
  "file_hash": "66510b7635e328c0569482610d91b14af3f11ab35340f374caa04fbc5b04ff37",
  "private": false,
  "record": {
    "abstract": "Arbitrarily small changes in the commutation relations suffice to transform\nthe usual singular quantum theories into regular quantum theories. This process\nis an extension of canonical quantization that we call general quantization.\nHere we apply general quantization to the time-independent linear harmonic\noscillator. The unstable Heisenberg group becomes the stable group SO(3). This\nfreezes out the zero-point energy of very soft or very hard oscillators, like\nthose responsible for the infrared or ultraviolet divergencies of usual field\ntheories, without much changing the medium oscillators. It produces pronounced\nviolations of equipartition and of the usual uncertainty relations for soft or\nhard oscillators,and interactions between the previously uncoupled excitation\nquanta of the oscillator, weakly attractive for medium quanta, strongly\nrepulsive for soft or hard quanta.",
    "arxiv_id": "quant-ph/0411203",
    "authors": [
      "Mohsen Shiri-Garakani",
      "David Ritz Finkelstein"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Finite Quantum Kinematics of the Harmonic Oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0411203"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d9755fcb-9068-4b1f-bf53-cae3623be3e5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}