{
  "annotation_id": "746f6f90-b3a1-446a-b051-79e0594c89dc",
  "date_created": "2026-03-02T18:02:13.081000Z",
  "date_modified": "2026-03-02T18:02:13.081000Z",
  "file_hash": "675062bdd52dcd1341e50f523c4698265a8cc03e8a26ca1a72303b813ad0629a",
  "private": false,
  "record": {
    "abstract": "Quantum field theory of a damped vibrating string as the simplest dissipative\nscalar field investigated by its coupling with an infinit number of\nKlein-Gordon fields as the environment by introducing a minimal coupling\nmethod. Heisenberg equation containing a dissipative term proportional to\nvelocity obtained for a special choice of coupling function and quantum\ndynamics for such a dissipative system investigated. Some kinematical relations\ncalculated by tracing out the environment degrees of freedom. The rate of\nenergy flowing between the system and it\u0027s environment obtained.",
    "arxiv_id": "quant-ph/0502134",
    "authors": [
      "Fardin Kheirandish",
      "Majid Amooshahi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10773-005-9005-z",
    "journal_ref": "Int. J. of Theo. Phys., Vol. 45, No. 1, January 2006",
    "title": "Minimal coupling method and the dissipative scalar field theory",
    "url": "https://arxiv.org/abs/quant-ph/0502134"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ba8885ac-e153-4af0-ac51-6fae62499afc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}