{
  "id": "quant-ph/9907102",
  "version": "v2",
  "published": "1999-07-30T12:46:02.000Z",
  "updated": "2000-03-03T14:48:35.000Z",
  "title": "Quantization via hopping amplitudes: Schroedinger equation and free QED",
  "authors": [
    "L. Polley"
  ],
  "comment": "LaTeX2e, 12 pages, no figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Schroedinger's equation with scalar and vector potentials is shown to describe \"nothing but\" hopping of a quantum particle on a lattice; any spatial variation of the hopping amplitudes acts like an external electric and/or magnetic field. The main point of the argument is the superposition principle for state vectors; Lagrangians, path integrals, or classical Hamiltonians are not (!) required. Analogously, the Hamiltonian of the free electromagnetic field is obtained as a twofold continuum limit of unitary hopping in Z(N) link configuration space, if gauge invariance and C and P symmetries are imposed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-03-03T14:48:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schroedinger equation",
      "quantization",
      "free electromagnetic field",
      "twofold continuum limit"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999quant.ph..7102P"
    }
  }
}