{
  "id": "1308.4279",
  "version": "v3",
  "published": "2013-08-20T10:44:09.000Z",
  "updated": "2014-01-09T13:35:37.000Z",
  "title": "Laplace-Runge-Lenz vector for arbitrary spin",
  "authors": [
    "A. G. Nikitin"
  ],
  "comment": "This is a REVTEX form of the previous version with minor corrections",
  "journal": "J. Math. Phys. 54, 123506 (2013)",
  "doi": "10.1063/1.4843435",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "A countable set of superintegrable quantum mechanical systems is presented which admit the dynamical symmetry with respect to algebra so(4). This algebra is generated by the Laplace-Runge-Lenz vector generalized to the case of arbitrary spin. The presented systems describe neutral particles with non-trivial multipole momenta. Their spectra can be found algebraically like in the case of Hydrogen atom. Solutions for the systems with spins 1/2 and 1 are presented explicitly, solutions for spin 3/2 are expressed via solutions of an ordinary differential equation of first order..",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-09T13:35:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q05",
      "81Q60",
      "81Q80",
      "03.65.Fd",
      "03.65.Ta",
      "02.20.Sv",
      "02.10.Ud"
    ],
    "keywords": [
      "arbitrary spin",
      "laplace-runge-lenz vector",
      "ordinary differential equation",
      "non-trivial multipole momenta",
      "first order"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2013,
      "month": "Dec",
      "volume": 54,
      "number": 12,
      "pages": 3506
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JMP....54l3506N"
    }
  }
}