{
  "annotation_id": "6904eef4-8580-4a4b-827b-e97c439367e0",
  "date_created": "2026-03-02T18:02:44.140000Z",
  "date_modified": "2026-03-02T18:02:44.140000Z",
  "file_hash": "837ef866f9b6624d1bf0bd4aa9e4f441fd1a455e722cf084dec41b669fc9fa8e",
  "private": false,
  "record": {
    "abstract": "The problem of random motion of 1D quantum reactive harmonic oscillator\n(QRHO) is formulated in terms of a wave functional regarded as a complex\nprobability process in an extended space. In the complex stochastic\ndifferential equation (SDE) for this process the variables are separated with\nthe help of the Langevin-type model SDE introduced in the functional space. The\ncomplete positive Fokker-Plank measure of the functional space is obtained. The\naverage wave function of roaming QRHO is obtained by means of functional\nintegration over the process with the complete Fokker-Plank measure in the\nfunctional space. The local and averaged transition matrices of roaming QRHO\nwere constructed. The thermodynamics of nonrelativistic vacuum is investigated\nin detail and expressions for the internal energy, Helmholtzian energy and\nentropy are obtained. The oscillator\u0027s ground state energy, its shift and\nbroadening are calculated.",
    "arxiv_id": "quant-ph/9810079",
    "authors": [
      "A. V. Bogdanov",
      "A. S. Gevorkyan"
    ],
    "categories": [
      "quant-ph",
      "chao-dyn",
      "nlin.CD"
    ],
    "title": "Quantum chaos in the framework of complex probability processes.   Thermodynamics of nonrelativistic vaccum",
    "url": "https://arxiv.org/abs/quant-ph/9810079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bbf81e5d-5b2d-46c1-9d43-d3946ec84548",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}