{
  "id": "1305.4370",
  "version": "v1",
  "published": "2013-05-19T15:20:43.000Z",
  "updated": "2013-05-19T15:20:43.000Z",
  "title": "New exact solutions of the Dirac equation of a charged particle interacting with an electromagnetic plane wave in a medium",
  "authors": [
    "Sandor Varro"
  ],
  "comment": "20 pages, 3 figures",
  "journal": "Laser Physics Letters 10 (2013) 095301 (13pp)",
  "doi": "10.1088/1612-2011/10/9/095301",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Exact solutions are presented of the Dirac equation of a charged particle moving in a classical monochromatic electromagnetic plane wave in a medium of index of refraction n < 1. The found solutions are expressed in terms of new complex trigonometric polynomials, which form a doubly infinite set labeled by two integer quantum numbers. These quantum numbers represent quantized spectra of the energy-momentum components of the charged particle along the polarization vector and along the propagation direction of the applied electromagnetic plane wave field (which is considered as a laser field of arbitrary high intensity, propagating in an underdense plasma). These new solutions may serve as a basis for the description of possible quantum features of mechanisms of acceleration of electrons by high-intensity laser fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-19T15:20:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact solutions",
      "dirac equation",
      "charged particle interacting",
      "electromagnetic plane wave field",
      "monochromatic electromagnetic plane wave"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Laser Physics Letters",
      "year": 2013,
      "month": "Sep",
      "volume": 10,
      "number": 9,
      "pages": "095301"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013LaPhL..10i5301V"
    }
  }
}