{
  "id": "cond-mat/0208151",
  "version": "v1",
  "published": "2002-08-07T22:00:06.000Z",
  "updated": "2002-08-07T22:00:06.000Z",
  "title": "A New Window Onto Quantum Chaos",
  "authors": [
    "John Evans",
    "Fredrick Michael"
  ],
  "comment": "3 figures, submitted to Physical Review Letters",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In this article the statistical properties of symmetrical random matrices whose elements are drawn from a q-parameterized non-extensive statistics power-law distribution are investigated. In the limit as q->1 the well known Gaussian orthogonal ensemble (GOE) results are recovered. The relevant level spacing distribution is derived and one obtains a suitably generalized non-extensive Wigner distribution which depends on the value of the tunable non-extensivity parameter q. This non-extensive Wigner distribution can be seen to be a one-parameter level-spacing distribution that allows one to interpolate between chaotic and nearly integrable regimes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-08-07T22:00:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum chaos",
      "relevant level spacing distribution",
      "q-parameterized non-extensive statistics power-law distribution",
      "gaussian orthogonal",
      "suitably generalized non-extensive wigner distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002cond.mat..8151E"
    }
  }
}