{
  "annotation_id": "caceea81-2c8b-412b-8cb9-abe012ba1ba3",
  "date_created": "2026-03-02T18:02:30.500000Z",
  "date_modified": "2026-03-02T18:02:30.500000Z",
  "file_hash": "18268153691b8d8257c08ea722d2e7b4b2370c2ca915317f8a49ddde2724fa13",
  "private": false,
  "record": {
    "abstract": "We study the consequences of the generalized Heisenberg uncertainty relation\nwhich admits a minimal uncertainty in length such as the case in a theory of\nquantum gravity. In particular, the theory of quantum harmonic oscillators\narising from such a generalized uncertainty relation is examined. We\ndemonstrate that all the standard properties of the quantum harmonic\noscillators prevail when we employ a generalized momentum. We also show that\nquantum electrodynamics and coherent photon states can be described in the\nfamiliar standard manner despite the generalized uncertainty principle.",
    "arxiv_id": "quant-ph/0610079",
    "authors": [
      "P. Narayana Swamy"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217751X06034458",
    "title": "Generalized Heisenberg relation and Quantum Harmonic Oscillators",
    "url": "https://arxiv.org/abs/quant-ph/0610079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "24b67766-645f-4960-9f39-ce59eb77501a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}