{
  "id": "1209.1078",
  "version": "v2",
  "published": "2012-09-04T10:40:21.000Z",
  "updated": "2013-04-10T09:55:09.000Z",
  "title": "Electromagnetic potentials and Aharonov-Bohm effect",
  "authors": [
    "Alexander Ershkovich"
  ],
  "categories": [
    "quant-ph",
    "physics.class-ph"
  ],
  "abstract": "Hamilton-Jacobi equation which governs classical mechanics and electrodynamics explicitly depends on the electromagnetic potentials (A,{\\phi}), similar to Schroedinger equation. We derived the Aharonov-Bohm effect from Hamilton-Jacobi equation thereby having proved that this effect is of classical origin. These facts enable us to arrive at the following conclusions: a) the very idea of special role of potentials (A,{\\phi}) in quantum mechanics (different from their role in classical physics) lost the ground, and becomes dubious, as this idea is based on the Aharonov-Bohm effect, b) failure to find any signs of a special role of these potentials in the appropriate experiments (Feinberg, 1963) is thereby explained, and c) discovery of classical analogues of the Aharonov-Bohm effect (Berry et al., 1980) is also explained by a classical nature of this effect. Elucidation of the \"unlocal\" interaction problem was made.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-10T09:55:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "aharonov-bohm effect",
      "electromagnetic potentials",
      "special role",
      "hamilton-jacobi equation",
      "appropriate experiments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.1078E"
    }
  }
}