{
  "id": "0710.5738",
  "version": "v1",
  "published": "2007-10-30T18:58:58.000Z",
  "updated": "2007-10-30T18:58:58.000Z",
  "title": "Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics. I: general classification of reducibility and analysis of the third-order algebra",
  "authors": [
    "A. A. Andrianov",
    "A. V. Sokolov"
  ],
  "comment": "16 pages",
  "journal": "J.Math.Sci.143:2707-2722,2007",
  "categories": [
    "quant-ph",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study possible factorizations of supersymmetric (SUSY) transformations in the one-dimensional quantum mechanics into chains of elementary Darboux transformations with nonsingular coefficients. A classification of irreducible (almost) isospectral transformations and of related SUSY algebras is presented. The detailed analysis of SUSY algebras and isospectral operators is performed for the third-order case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-30T18:58:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional quantum mechanics",
      "third-order algebra",
      "nonlinear supersymmetry",
      "general classification",
      "factorization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s10958-007-0158-6"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 774799,
      "adsabs": "2007arXiv0710.5738A"
    }
  }
}