{
  "id": "1204.0284",
  "version": "v3",
  "published": "2012-04-02T00:45:00.000Z",
  "updated": "2012-10-17T14:14:09.000Z",
  "title": "Quantum ergodicity for restrictions to hypersurfaces",
  "authors": [
    "Semyon Dyatlov",
    "Maciej Zworski"
  ],
  "comment": "22 pages, 1 figure; revised according to referee's comments. To appear in Nonlinearity",
  "doi": "10.1088/0951-7715/26/1/35",
  "categories": [
    "math.AP",
    "math.SP"
  ],
  "abstract": "Quantum ergodicity theorem states that for quantum systems with ergodic classical flows, eigenstates are, in average, uniformly distributed on energy surfaces. We show that if N is a hypersurface in the position space satisfying a simple dynamical condition, the restrictions of eigenstates to N are also quantum ergodic.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-10-17T14:14:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "restrictions",
      "hypersurface",
      "quantum ergodicity theorem states",
      "simple dynamical condition",
      "quantum systems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Nonlinearity",
      "year": 2013,
      "month": "Jan",
      "volume": 26,
      "number": 1,
      "pages": 35
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013Nonli..26...35D"
    }
  }
}