{
  "id": "quant-ph/0105064",
  "version": "v1",
  "published": "2001-05-14T17:55:47.000Z",
  "updated": "2001-05-14T17:55:47.000Z",
  "title": "Superalgebras for the Penning Trap",
  "authors": [
    "Neil Russell"
  ],
  "comment": "25 pages, 3 eps figures",
  "journal": "J.Math.Phys. 42 (2001) 5315-5328",
  "categories": [
    "quant-ph",
    "hep-ph"
  ],
  "abstract": "The hamiltonian describing a single fermion in a Penning trap is shown to be supersymmetric in certain cases. The supersymmetries of interest occur when the ratio of the cyclotron frequency to the axial frequency is 3/2 and the particle has anomalous magnetic moment 4/3 or 2/3. At these supersymmetric points, the spectrum shows uniformly spaced crossed levels. The associated superalgebras are su(2|1) and su(1|1). The phase space for this problem has an osp(2|6) structure and contains all the degeneracy superalgebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-14T17:55:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32.80.Pj",
      "03.65.Ge",
      "02.10.-v"
    ],
    "keywords": [
      "penning trap",
      "phase space",
      "single fermion",
      "supersymmetric points",
      "anomalous magnetic moment"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "doi": "10.1063/1.1404386",
      "year": 2001,
      "month": "Nov",
      "volume": 42,
      "number": 11,
      "pages": 5315
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 557438,
      "adsabs": "2001JMP....42.5315R"
    }
  }
}