{
  "annotation_id": "71122a38-6505-4454-9098-195a4beabb54",
  "date_created": "2026-03-02T18:02:41.046000Z",
  "date_modified": "2026-03-02T18:02:41.046000Z",
  "file_hash": "485ec9d8646af002cf137e136c9f10b228831c01e9d13700ee10d6c33eb17d03",
  "private": false,
  "record": {
    "abstract": "The system of oscillator interacting with vacuum is considered as a problem\nof random motion of quantum reactive harmonic oscillator (QRHO). It is\nformulated in terms of a wave functional regarded as complex probability\nprocess in the extended space. This wave functional obeys some stochastic\ndifferential equation (SDE). Based on the nonlinear Langevin type SDE of second\norder, introduced in the functional space R{W(t)}, the variables in original\nequation are separated. The general measure in the space R{W(t)} of the\nFokker-Plank type is obtained and expression for total wave function (wave\nmixture) of random QRHO is constructed as functional expansion over the\nstochastic basis set. The pertinent transition matrix S_br is constructed. For\nWiener type measure W(t) of functional space the exact representation for\n\u0027\u0027vacuum-vacuum\u0027\u0027 transition probability is obtained. The thermodynamics of\nvacuum is described in detail for the asymptotic space R1_as. The exact values\nfor Energy, shift and expansion of ground state of oscillator and its Entropy\nare calculated.",
    "arxiv_id": "quant-ph/9712031",
    "authors": [
      "Alexander V. Bogdanov",
      "Ashot S. Gevorkyan"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "IHPCDB-3(97)",
    "title": "Random motion of quantum reactive harmonic oscillator. Thermodynamics of   Vacuum of Asymptotic Subspace",
    "url": "https://arxiv.org/abs/quant-ph/9712031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "333d2c8d-16ca-4c1a-b6c9-e145ca03947a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}