{
  "annotation_id": "52aaaef2-0b34-442f-9449-2ef9057f2e56",
  "date_created": "2026-03-02T18:02:23.784000Z",
  "date_modified": "2026-03-02T18:02:23.784000Z",
  "file_hash": "00dc91679763cb57de5b50c56c7fb06215fd267d4d441f28d5ed37d3d1989b89",
  "private": false,
  "record": {
    "abstract": "We prove that a single-jump quantum stochastic unitary evolution is\nequivalent to a Dirac boundary value problem on the half line in an extra\ndimension. This amounts to the equivalence of the quantum measurement\nboundary-value problem in infinite number particles space to the stochastic\ncalculus in Fock space. It is shown that this exactly solvable model can be\nobtained from a Schroedinger boundary value problem for a positive relativistic\nHamiltonian in the half-line as the inductive ultra relativistic limit,\ncorrespondent to the input flow of Dirac particles with asymptotically infinite\nmomenta. Thus the stochastic limit can be interpreted in terms of quantum\nstochastic scheme for time-continuous non-demolition observation. The question\nof microscopic time reversibility is also studied for this paper.",
    "arxiv_id": "quant-ph/0512206",
    "authors": [
      "V. P. Belavkin"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Rep. on Math. Phys. 46 (2000) No 3, 359 - 382",
    "title": "Quantum Stochastics, Dirac Boundary Value Problem, and the Ultra   Relativistic Limit",
    "url": "https://arxiv.org/abs/quant-ph/0512206"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bffd6798-45a6-44f5-8d38-2c70c8d85ad1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}