{
  "id": "math-ph/0510061",
  "version": "v1",
  "published": "2005-10-17T10:05:49.000Z",
  "updated": "2005-10-17T10:05:49.000Z",
  "title": "Wegner Estimate for Indefinite Anderson Potentials: Some Recent Results and Applications",
  "authors": [
    "Vadim Kostrykin",
    "Ivan Veselic'"
  ],
  "comment": "20 pages, Proceedings of Conference ``Renormalization Group Methods in Mathematical Sciences'' RIMS, Kyoto, July 2001",
  "journal": "Lecture Notes of Research Institute for Mathematical Sciences, Kyoto University, volume 1275, (2002), 65--84",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We review recent and give some new results on the spectral properties of Schroedinger operators with a random potential of alloy type. Our point of interest is the so called Wegner estimate in the case where the single site potentials change sign. The indefinitness of the single site potential poses certain difficulties for the proof of the Wegner estimate which are still not fully understood. The Wegner estimate is a key ingredient in an existence proof of pure point spectrum of the considered random Schroedinger operators. Under certain assumptions on the considered models additionally the existence of the density of states can be proven.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-17T10:05:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10",
      "47B80",
      "82B44"
    ],
    "keywords": [
      "wegner estimate",
      "indefinite anderson potentials",
      "single site potentials change sign",
      "single site potential poses",
      "applications"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.ph..10061K"
    }
  }
}