{
  "id": "1409.7909",
  "version": "v1",
  "published": "2014-09-28T13:39:54.000Z",
  "updated": "2014-09-28T13:39:54.000Z",
  "title": "Fermionization, Triangularization and Integrability",
  "authors": [
    "Li-Qiang Cai",
    "Li-Fang Wang",
    "Jian-Feng Wu",
    "Jie Yang",
    "Ming Yu"
  ],
  "comment": "34pages, 2 figures",
  "categories": [
    "math-ph",
    "cond-mat.str-el",
    "hep-th",
    "math.MP"
  ],
  "abstract": "In this article, we derive the fermionic formalism of Hamiltonians as well as corresponding excitation spectrums and states of Calogero-Sutherland(CS), Laughlin and Halperin systems, respectively. In addition, we study the triangular property of these Hamiltonians and prove the integrability in these three cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-28T13:39:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrability",
      "fermionization",
      "triangularization",
      "fermionic formalism",
      "hamiltonians"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1319346,
      "adsabs": "2014arXiv1409.7909C"
    }
  }
}