{
  "id": "0710.3315",
  "version": "v1",
  "published": "2007-10-17T15:00:59.000Z",
  "updated": "2007-10-17T15:00:59.000Z",
  "title": "Can the Quantum Measurement Problem be resolved within the framework of Schroedinger Dynamics and Quantum Probability?",
  "authors": [
    "Geoffrey Sewell"
  ],
  "comment": "To be published in the Proceedings of the International Conference on Quantum Theory: Reconsiderations of Foundations-4, held at the University of Vaxjo, Sweden, June 11-16, 2007",
  "doi": "10.1063/1.2827306",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We provide an affirmative answer to the question posed in the title. Our argument is based on a treatment of the Schroedinger dynamics of the composite of a quantum microsystem, S, and a macroscopic measuring apparatus, I, consisting of N interacting particles. The pointer positions of this apparatus are represented by orthogonal subspaces of its representative Hilbert space that are simultaneous eigenspaces of coarse-grained macroscopic observables. By taking explicit account of their macroscopicality via a large deviation principle, we prove that, for a suitably designed apparatus I, the evolution of the composite (S+I) leads both to the reduction of the wave packet of S and to a one-to-one correspondence between the resultant state of this microsystem and the pointer position of I, up to utterly negligible corrections that decrease exponentially with N.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-17T15:00:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Ta",
      "03.65.Ge",
      "02.50.Cw"
    ],
    "keywords": [
      "quantum measurement problem",
      "schroedinger dynamics",
      "quantum probability",
      "pointer position",
      "large deviation principle"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007AIPC..962..215S"
    }
  }
}