{
  "id": "1709.04644",
  "version": "v1",
  "published": "2017-09-14T07:46:47.000Z",
  "updated": "2017-09-14T07:46:47.000Z",
  "title": "Symmetry operators and separation of variables in the $(2+1)$-dimensional Dirac equation with external electromagnetic field",
  "authors": [
    "A. I. Breev",
    "A. V. Shapovalov"
  ],
  "comment": "24 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential in a $(2+1)$-dimensional Riemann (curved) spacetime. Nonequivalent complete sets of mutually commuting symmetry operators are classified in a $(2+1)$-dimensional Minkowski (flat) space. For each of the sets we carry out a complete separation of variables in the Dirac equation and find a corresponding electromagnetic potential permitting separation of variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-14T07:46:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "70S10",
      "76M60",
      "81R12"
    ],
    "keywords": [
      "dimensional dirac equation",
      "external electromagnetic field",
      "first-order differential symmetry operators",
      "electromagnetic potential permitting separation",
      "equations determining first-order differential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}