{
  "id": "1501.02264",
  "version": "v1",
  "published": "2015-01-09T09:43:52.000Z",
  "updated": "2015-01-09T09:43:52.000Z",
  "title": "On solutions of the Pauli equation in non-static de Sitter metrics",
  "authors": [
    "E. M. Ovsiyuk",
    "K. V. Kazmerchuk"
  ],
  "comment": "12 pages",
  "categories": [
    "quant-ph",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "A particle with spin 1/2 is investigated both in expanding and oscillating cosmological de Sitter models. It is shown that these space-time geometries admit existence of the non-relativistic limit in the covariant Dirac equation. Procedure for transition to the Pauli approximation is conducted in the equations in the variables $(t, r)$, obtained after separating the angular dependence of $(\\theta, \\phi)$ from the wave function. The non-relativistic systems of equations in the variables $(t, r)$ is solved exactly in both models. The constructed wave functions do not represent stationary states with fixed energy, however the corresponding probability density does not depend on the time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-09T09:43:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "G.1"
    ],
    "keywords": [
      "sitter metrics",
      "pauli equation",
      "space-time geometries admit existence",
      "non-static",
      "wave function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1338375
    }
  }
}