{
  "id": "1509.02305",
  "version": "v1",
  "published": "2015-09-08T10:00:35.000Z",
  "updated": "2015-09-08T10:00:35.000Z",
  "title": "Bethe's Quantum Numbers And Rigged Configurations",
  "authors": [
    "Anatol N. Kirillov",
    "Reiho Sakamoto"
  ],
  "comment": "15 pages. Supplementary tables are included in the source file",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We propose a method to determine the quantum numbers, which we call the rigged configurations, for the solutions to the Bethe ansatz equations for the spin-1/2 isotropic Heisenberg model under the periodic boundary condition. Our method is based on the observation that the sums of Bethe's quantum numbers within each string behave particularly nicely. We confirm our procedure for all solutions for length 12 chain (totally 923 solutions).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-08T10:00:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bethes quantum numbers",
      "rigged configurations",
      "isotropic heisenberg model",
      "periodic boundary condition",
      "bethe ansatz equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}