{
  "id": "2008.09176",
  "version": "v1",
  "published": "2020-08-20T19:47:14.000Z",
  "updated": "2020-08-20T19:47:14.000Z",
  "title": "Electrostatic Equilibria on the Unit Circle via Jacobi Polynomials",
  "authors": [
    "Kev Johnson",
    "Brian Simanek"
  ],
  "comment": "8 pages",
  "categories": [
    "math-ph",
    "math.CA",
    "math.MP"
  ],
  "abstract": "We use classical Jacobi polynomials to identify the equilibrium configurations of charged particles confined to the unit circle. Our main result unifies two theorems from a 1986 paper of Forrester and Rogers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-20T19:47:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unit circle",
      "electrostatic equilibria",
      "main result unifies",
      "equilibrium configurations",
      "classical jacobi polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}