{
  "id": "0907.4638",
  "version": "v3",
  "published": "2009-07-27T10:24:40.000Z",
  "updated": "2009-09-09T10:42:53.000Z",
  "title": "N-Slit Interference: Fractals in Near-Field Region, Bohmian Trajectories",
  "authors": [
    "Valeriy I. Sbitnev"
  ],
  "comment": "12 pages, 14 figures; added one new section, 6 new figures, and 4 references; added 1 figure, some comments, renew 3 figures,",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Scattering cold particles on an $N$-slit grating is shown to reproduce an interference pattern, that manifests itself in the near-field region as the fractal Talbot carpet. In the far-field region the pattern is transformed to an ordinary diffraction, where principal beams are partitioned from each other by ($N-2$) weak ones. A probability density plot of the wave function, to be represented by a gaussian wavepacket, is calculated both in the near-field region and in the far-field one. Bohmian (geodesic) trajectories, to be calculated by a guidance equation, are superimposed on the probability density plot well enough. It means, that a particle, moving from a source to a detector, passes across the grating along a single bohmian trajectory through-passing one and only one slit. Keywords: Gaussian wavepacket, neutron scattering, guidance equation, bohmian trajectory, near-field interference, far-field diffraction, Talbot carpet, fractal",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-09-09T10:42:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "near-field region",
      "n-slit interference",
      "probability density plot",
      "guidance equation",
      "gaussian wavepacket"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.4638S"
    }
  }
}