{
  "id": "quant-ph/0210164",
  "version": "v2",
  "published": "2002-10-24T04:42:13.000Z",
  "updated": "2003-02-26T06:14:49.000Z",
  "title": "Quantum Mechanics as an Approximation to Classical Mechanics in Hilbert Space",
  "authors": [
    "A. J. Bracken"
  ],
  "comment": "10 pages, Latex2e file, references added, minor clarifications made",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Classical mechanics is formulated in complex Hilbert space with the introduction of a commutative product of operators, an antisymmetric bracket, and a quasidensity operator. These are analogues of the star product, the Moyal bracket, and the Wigner function in the phase space formulation of quantum mechanics. Classical mechanics can now be viewed as a deformation of quantum mechanics. The forms of semiquantum approximations to classical mechanics are indicated.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-02-26T06:14:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical mechanics",
      "quantum mechanics",
      "complex hilbert space",
      "phase space formulation",
      "semiquantum approximations"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002quant.ph.10164B"
    }
  }
}