{
  "id": "1109.3575",
  "version": "v1",
  "published": "2011-09-16T10:16:49.000Z",
  "updated": "2011-09-16T10:16:49.000Z",
  "title": "Particle with spin 1 in a magnetic field on the spherical plane S_{2}",
  "authors": [
    "E. M. Ovsiyuk",
    "V. V. Kisel",
    "V. M. Red'kov"
  ],
  "comment": "11 pages, 34 references",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "There are constructed exact solutions of the quantum-mechanical equation for a spin S=1 particle in 2-dimensional Riemannian space of constant positive curvature, spherical plane, 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 vector particle in magnetic field on the 2-dimensional space S_{2} has been found, nonrelativistic and relativistic equations have been solved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-16T10:16:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "G.1"
    ],
    "keywords": [
      "spherical plane",
      "energy levels describing quantization",
      "external magnetic field",
      "relativistic equations",
      "minkowski space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 942908,
      "adsabs": "2011arXiv1109.3575O"
    }
  }
}