{
  "id": "0904.1872",
  "version": "v1",
  "published": "2009-04-12T15:18:13.000Z",
  "updated": "2009-04-12T15:18:13.000Z",
  "title": "Statistics of Resonances in One Dimensional Continuous Systems",
  "authors": [
    "Joshua Feinberg"
  ],
  "comment": "latex, 8 pages, no figures; original material, based on an invited lecture at the Homi Bhabha Centenary conference on \"Non-Hermitian operators in quantum physics\", Bhaba Atomic Research Center, Mumbai, January 2009",
  "categories": [
    "cond-mat.dis-nn",
    "hep-th",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We study the average density of resonances (DOR) of a disordered one-dimensional continuous open system. The disordered system is semi-infinite, with white-noise random potential, and it is coupled to the external world by a semi-infinite continuous perfect lead. Our main result is an integral representation for the DOR which involves the probability density function of the logarithmic derivative of the wave function at the contact point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-12T15:18:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional continuous systems",
      "resonances",
      "statistics",
      "probability density function",
      "disordered one-dimensional continuous open system"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s12043-009-0108-6",
      "journal": "Pramana",
      "year": 2009,
      "month": "Sep",
      "volume": 73,
      "number": 3,
      "pages": 565
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009Prama..73..565F",
      "inspire": 1370023
    }
  }
}