{
  "id": "math-ph/0605077",
  "version": "v1",
  "published": "2006-05-30T16:55:27.000Z",
  "updated": "2006-05-30T16:55:27.000Z",
  "title": "Goldfishing by gauge theory",
  "authors": [
    "F. Calogero",
    "E. Langmann"
  ],
  "comment": "22 pages",
  "journal": "J.Math.Phys.47:082702,2006",
  "doi": "10.1063/1.2235035",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "A new solvable many-body problem of goldfish type is identified and used to revisit the connection among two different approaches to solvable dynamical systems. An isochronous variant of this model is identified and investigated. Alternative versions of these models are presented. The behavior of the alternative isochronous model near its equilibrium configurations is investigated, and a remarkable Diophantine result, as well as related Diophantine conjectures, are thereby obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-30T16:55:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J35",
      "70H06",
      "11D99",
      "11.15.-q"
    ],
    "keywords": [
      "gauge theory",
      "solvable many-body problem",
      "equilibrium configurations",
      "diophantine result",
      "related diophantine conjectures"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 718069
    }
  }
}