{
  "id": "math-ph/0306067",
  "version": "v4",
  "published": "2003-06-26T14:57:13.000Z",
  "updated": "2003-10-27T17:22:48.000Z",
  "title": "Asymptotics of eigenvalues of the Aharonov-Bohm operator with a strong $δ$-interaction on a loop",
  "authors": [
    "G. Honnouvo",
    "M. N. Hounkonnou"
  ],
  "comment": "9 pages",
  "doi": "10.1088/0305-4470/37/3/012",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate the two-dimensional Aharonov-Bohm operator $H_{c_0,\\beta} = {(-i\\nabla -A)}^{2}-\\beta\\delta(.-\\Gamma),$ where $\\Gamma$ is a smooth loop and $A$ is the vector potential which corresponds to Aharonov-Bohm potential. The asymptotics of negative eigenvalues of $H_{c_0,\\beta}$ for $\\beta \\longrightarrow +\\infty$ is found. We also prove that for large enough positive value of $\\beta$ the system exhibits persistent currents.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2003-10-27T17:22:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotics",
      "interaction",
      "two-dimensional aharonov-bohm operator",
      "smooth loop",
      "persistent currents"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}