{
  "id": "math-ph/0112060",
  "version": "v2",
  "published": "2001-12-30T14:03:23.000Z",
  "updated": "2002-02-19T14:36:24.000Z",
  "title": "Connection between type B (or C) and F factorizations and construction of algebras",
  "authors": [
    "A. Del Sol Mesa",
    "C. Quesne"
  ],
  "comment": "minor changes, 1 additional reference, final form to be published in JPA",
  "journal": "J. Phys. A 35 (2002) 2857-2865",
  "doi": "10.1088/0305-4470/35/12/310",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "In a recent paper (Del Sol Mesa A and Quesne C 2000 J. Phys. A: Math. Gen. 33 4059), we started a systematic study of the connections among different factorization types, suggested by Infeld and Hull, and of their consequences for the construction of algebras. We devised a general procedure for constructing satellite algebras for all the Hamiltonians admitting a type E factorization by using the relationship between type A and E factorizations. Here we complete our analysis by showing that for Hamiltonians admitting a type F factorization, a similar method, starting from either type B or type C ones, leads to other types of algebras. We therefore conclude that the existence of satellite algebras is a characteristic property of type E factorizable Hamiltonians. Our results are illustrated with the detailed discussion of the Coulomb problem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-02-19T14:36:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "connection",
      "construction",
      "del sol mesa",
      "factorization types",
      "coulomb problem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}