{
  "id": "1007.4253",
  "version": "v2",
  "published": "2010-07-24T07:46:37.000Z",
  "updated": "2011-08-29T16:50:04.000Z",
  "title": "On a Dirac particle in an uniform magnetic field in 3-dimensional spaces of constant curvature",
  "authors": [
    "E. M. Ovsiyuk",
    "V. V. Kisel",
    "V. M. Red'kov"
  ],
  "comment": "34 pages, Submitted to SIGMA",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "There are constructed exact solutions of the quantum-mechanical Dirac equation for a spin S=1/2 particle in Riemannian space of constant negative curvature, hyperbolic Lobachevsky space, in presence of an external magnetic field, analogue of the homogeneous magnetic field in the Minkowski space. A generalized formula for energy levels, describing quantization of the transversal motion of the particle in magnetic field has been obtained. The same problem is solved for spin 1/2 particle in the space of constant positive curvature, spherical Riemann space. A generalized formula for energy levels, describing quantization of the transversal and along the magnetic field motions of the particle on the background of the Riemann space geometry, is obtained.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-29T16:50:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "G.1"
    ],
    "keywords": [
      "uniform magnetic field",
      "constant curvature",
      "dirac particle",
      "energy levels",
      "hyperbolic lobachevsky space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 863207,
      "adsabs": "2010arXiv1007.4253O"
    }
  }
}