{
  "annotation_id": "527575f9-7297-4f8f-b701-335be231a734",
  "date_created": "2026-03-02T18:02:33.972000Z",
  "date_modified": "2026-03-02T18:02:33.972000Z",
  "file_hash": "5901fc8f54a97721be868abc50b1c340ede710090307d22bfbabcc4b4285a193",
  "private": false,
  "record": {
    "abstract": "Quantization of the damped harmonic oscillator is taken as leitmotiv to\ngently introduce elements of quantum probability theory for physicists. To this\nend, we take (graduate) students in physics as entry level and explain the\nphysical intuition and motivation behind the, sometimes overwhelming, math\nmachinery of quantum probability theory.\n  The main text starts with the quantization of the (undamped) harmonic\noscillator from the Heisenberg and Schroedinger point of view. We show how both\ntreatments are special instances of a quantum probabilistic quantization\nprocedure: the second quantization functor. We then apply the second\nquantization functor to the damped harmonic oscillator and interpret the\nquantum dynamics of the position and energy operator as stochastic processes.",
    "arxiv_id": "quant-ph/0701082",
    "authors": [
      "S. Teerenstra"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Wave-particle duality in the damped harmonic oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0701082"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c0e54222-2fc1-4e54-8e90-95fc1b13bf4f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}