{
  "id": "1005.3621",
  "version": "v1",
  "published": "2010-05-20T08:06:33.000Z",
  "updated": "2010-05-20T08:06:33.000Z",
  "title": "On exact solutions of the Dirac equation in a homogeneous magnetic field in the Riemann spherical space",
  "authors": [
    "E. M. Ovsiyuk",
    "V. V. Kisel",
    "V. M. Red'kov"
  ],
  "comment": "7 pages, International Seminar NPCS-2010, 18-21 May, 2010, Minsk, Belarus",
  "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 the space of constant positive curvature, spherical Riemann 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 motion of the particle in magnetic field on the background of the Riemann space geometry, is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-20T08:06:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "G.1.8"
    ],
    "keywords": [
      "homogeneous magnetic field",
      "riemann spherical space",
      "exact solutions",
      "riemann space geometry",
      "external magnetic field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.3621O"
    }
  }
}