{
  "id": "math-ph/0508021",
  "version": "v1",
  "published": "2005-08-10T15:48:16.000Z",
  "updated": "2005-08-10T15:48:16.000Z",
  "title": "On supersymmetries in nonrelativistic quantum mechanics",
  "authors": [
    "J. Beckers",
    "N. Debergh",
    "A. G. Nikitin"
  ],
  "comment": "13 pages",
  "journal": "J. Math. Phys., 1992, V. 33, N 1, 152-160",
  "doi": "10.1063/1.529954",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "One-dimensional nonrelativistic systems are studied when time-independent potential interactions are involved. Their supersymmetries are determined and their closed subsets generating kinematical invariance Lie superalgebras are pointed out. The study of even supersymmetries is particularly enlightened through the already known symmetries of the corresponding Schr\\\"odinger equation. Three tables collect the even, odd, and total supersymmetries as well as the invariance (super)algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-10T15:48:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonrelativistic quantum mechanics",
      "supersymmetries",
      "subsets generating kinematical invariance lie",
      "one-dimensional nonrelativistic systems",
      "time-independent potential interactions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 1992,
      "month": "Jan",
      "volume": 33,
      "number": 1,
      "pages": 152
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 351114,
      "adsabs": "1992JMP....33..152B"
    }
  }
}