{
  "id": "0810.0684",
  "version": "v1",
  "published": "2008-10-03T16:56:16.000Z",
  "updated": "2008-10-03T16:56:16.000Z",
  "title": "Mathematical justification of the Aharonov-Bohm hamiltonian",
  "authors": [
    "Cesar R. de Oliveira",
    "Marciano Pereira"
  ],
  "comment": "to be published in Journal of Statistical Physics",
  "doi": "10.1007/s10955-008-9631-y",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "It is presented, in the framework of nonrelativistic quantum mechanics, a justification of the usual Aharonov-Bohm hamiltonian (with solenoid of radius greater than zero). This is obtained by way of increasing sequences of finitely long solenoids together with a natural impermeability procedure; further, both limits commute. Such rigorous limits are in the strong resolvent sense and in both $\\R^2$ and $\\R^3$ spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-03T16:56:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mathematical justification",
      "nonrelativistic quantum mechanics",
      "usual aharonov-bohm hamiltonian",
      "natural impermeability procedure",
      "strong resolvent sense"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Physics",
      "year": 2008,
      "month": "Dec",
      "volume": 133,
      "number": 6,
      "pages": 1175
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JSP...133.1175D"
    }
  }
}