{
  "id": "1202.2647",
  "version": "v1",
  "published": "2012-02-13T07:21:34.000Z",
  "updated": "2012-02-13T07:21:34.000Z",
  "title": "The Kramers problem for quantum fermi-gases with constant collision frequency and specular - diffusive boundary conditions",
  "authors": [
    "P. V. Ivanisenko",
    "A. V. Latyshev"
  ],
  "comment": "51 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1106.0816",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Kramers problem for quantum fermi-gases with specular - diffuse boundary conditions of the kinetic theory is considered. On an example of Kramers problem the new generalised method of a source of the decision of the boundary problems from the kinetic theory is developed. The method allows to receive the decision with any degree of accuracy. At the basis of a method lays the idea of representation of a boundary condition on distribution function in the form of a source in the kinetic equation. By means of integrals Fourier the kinetic equation with a source is reduced to the integral equation of Fredholm type of the second kind. The decision is received in the form of Neumann's series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-13T07:21:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B40",
      "80A99",
      "82C40",
      "82C99"
    ],
    "keywords": [
      "kramers problem",
      "constant collision frequency",
      "diffusive boundary conditions",
      "quantum fermi-gases",
      "kinetic equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2647I"
    }
  }
}