{
  "id": "1012.4544",
  "version": "v1",
  "published": "2010-12-21T04:34:00.000Z",
  "updated": "2010-12-21T04:34:00.000Z",
  "title": "Refraction in spacetime",
  "authors": [
    "M. Jaaskelainen",
    "M. Lombard",
    "U. Zuelicke"
  ],
  "comment": "7 pages, 4 figures, RevTex4.1. This article has been conditionally accepted by the American Journal of Physics. After it is published, it will be found at http://scitation.aip.org/ajp/",
  "journal": "Am. J. Phys. 79, 672 (2011)",
  "doi": "10.1119/1.3553459",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Refraction, interference, and diffraction serve as distinguishing features for wave-like phenomena. While they are normally associated only with a purely spatial wave-propagation pattern, analogs to interference and diffraction involving the spatio-temporal dynamics of waves in one dimension (1D) have been pointed out. Here we complete the triplet of analogies by discussing how spatio-temporal analogs to refraction are exhibited by a quantum particle in 1D that is scattering off a step barrier. Similarly, birefringence in spacetime occurs for a spin-1/2 particle in a magnetic field. These examples serve to illustrate basics of quantum time evolution from a new perspective.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-21T04:34:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.-w"
    ],
    "keywords": [
      "refraction",
      "quantum time evolution",
      "diffraction serve",
      "purely spatial wave-propagation",
      "spatio-temporal dynamics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "American Journal of Physics",
      "year": 2011,
      "month": "Jun",
      "volume": 79,
      "number": 6,
      "pages": 672
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011AmJPh..79..672J"
    }
  }
}