{
  "annotation_id": "db607629-f0bb-4a0f-b86f-f105d4059d61",
  "date_created": "2026-03-02T18:02:44.585000Z",
  "date_modified": "2026-03-02T18:02:44.585000Z",
  "file_hash": "4aa86881f40ccb2f3714e6ee7bef25b2d96657532838918e0bd2d11fe6f82943",
  "private": false,
  "record": {
    "abstract": "A many particle Hamiltonian, where the interaction term conserves the number\nof particles, is considered. A master equation for the populations of the\ndifferent levels is derived in an exact way. It results in a local equation\nwith time-dependent coefficients, which can be identified with the transition\nprobabilities in the golden rule approximation. A reinterpretation of the model\nas a set of coupled harmonic oscillators enables one to obtain for one of them\nan exact local Langevin equation, with time-dependent coefficients.",
    "arxiv_id": "quant-ph/9807047",
    "authors": [
      "Edgardo T. Garcia Alvarez",
      "Fabian H. Gaioli"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0378-4371(98)00148-4",
    "journal_ref": "Physica A257:298-302,1998",
    "title": "Exact derivation of the Langevin and master equations for harmonic   quantum Brownian motion",
    "url": "https://arxiv.org/abs/quant-ph/9807047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "55adf18f-6fdf-4881-9007-f02eaca013f8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}