{
  "id": "cond-mat/0303262",
  "version": "v4",
  "published": "2003-03-13T18:55:22.000Z",
  "updated": "2003-07-02T14:01:23.000Z",
  "title": "Quantum fluctuations and random matrix theory",
  "authors": [
    "Maciej M. Duras"
  ],
  "comment": "6 pages; \"Fluctuations and Noise in Photonics and Quantum Optics\", D. Abbott, J. H. Shapiro, Y. Yamamoto, Eds.; Proceedings of SPIE; Society of Photo-optical Instrumentation Engineers, Bellingham, WA, USA, Vol. 5111, 456-459 (2003)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The random matrix ensembles are applied to the quantum statistical two-dimensional systems of electrons. The quantum systems are studied using the finite dimensional real, complex and quaternion Hilbert spaces of the eigenfunctions. The linear operators describing the systems act on these Hilbert spaces and they are treated as random matrices in generic bases of the eigenfunctions. The random eigenproblems are presented and solved. Examples of random operators are presented with connection to physical problems.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2003-07-02T14:01:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random matrix theory",
      "quantum fluctuations",
      "finite dimensional real",
      "quantum statistical two-dimensional systems",
      "quaternion hilbert spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003SPIE.5111..456D"
    }
  }
}