{
  "id": "0904.0886",
  "version": "v2",
  "published": "2009-04-06T09:57:44.000Z",
  "updated": "2009-08-05T09:00:36.000Z",
  "title": "Feynman's path integral and mutually unbiased bases",
  "authors": [
    "J Tolar",
    "G Chadzitaskos"
  ],
  "comment": "12 pages, submitted to Journal of Physics A: Math. Theor., minor corrections",
  "journal": "J. Phys. A: Math. Theor. 42 (2009) 245306 (11 pp)",
  "doi": "10.1088/1751-8113/42/24/245306",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Our previous work on quantum mechanics in Hilbert spaces of finite dimensions N is applied to elucidate the deep meaning of Feynman's path integral pointed out by G. Svetlichny. He speculated that the secret of the Feynman path integral may lie in the property of mutual unbiasedness of temporally proximal bases. We confirm the corresponding property of the short-time propagator by using a specially devised N x N -approximation of quantum mechanics in L^2(R) applied to our finite-dimensional analogue of a free quantum particle.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-08-05T09:00:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mutually unbiased bases",
      "quantum mechanics",
      "feynman path integral",
      "free quantum particle",
      "feynmans path integral"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2009,
      "month": "Jun",
      "volume": 42,
      "number": 24,
      "pages": 245306
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JPhA...42x5306T"
    }
  }
}