{
  "id": "math-ph/0406017",
  "version": "v1",
  "published": "2004-06-10T07:32:46.000Z",
  "updated": "2004-06-10T07:32:46.000Z",
  "title": "An isoperimetric problem for point interactions",
  "authors": [
    "Pavel Exner"
  ],
  "comment": "LaTeX 2e, 10 pages",
  "journal": "J. Phys. A38 (2005), 4795-4802",
  "doi": "10.1088/0305-4470/38/22/004",
  "categories": [
    "math-ph",
    "cond-mat.mes-hall",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We consider Hamiltonian with $N$ point interactions in $\\R^d, d=2,3,$ all with the same coupling constant, placed at vertices of an equilateral polygon $\\PP_N$. It is shown that the ground state energy is locally maximized by a regular polygon. The question whether the maximum is global is reduced to an interesting geometric problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-10T07:32:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "point interactions",
      "isoperimetric problem",
      "ground state energy",
      "regular polygon",
      "interesting geometric problem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}