{
  "id": "0710.3544",
  "version": "v1",
  "published": "2007-10-18T15:44:35.000Z",
  "updated": "2007-10-18T15:44:35.000Z",
  "title": "Wigner functions, Fresnel optics, and symplectic connections on phase space",
  "authors": [
    "J. M. Isidro"
  ],
  "journal": "Int.J.Geom.Meth.Mod.Phys.5:663-676,2008",
  "doi": "10.1142/S0219887808003089",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We prove that Wigner functions contain a symplectic connection. The latter covariantises the symplectic exterior derivative on phase space. We analyse the role played by this connection and introduce the notion of local symplectic covariance of quantum-mechanical states. This latter symmetry is at work in the Schroedinger equation on phase space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-18T15:44:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase space",
      "symplectic connection",
      "fresnel optics",
      "local symplectic covariance",
      "wigner functions contain"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 765793
    }
  }
}