{
  "id": "1012.0970",
  "version": "v1",
  "published": "2010-12-05T03:22:26.000Z",
  "updated": "2010-12-05T03:22:26.000Z",
  "title": "Modal Hamiltonian interpretation of quantum mechanics and Casimir operators: the road towards quantum field theory",
  "authors": [
    "Juan Sebastián Ardenghi",
    "Mario Castagnino",
    "Olimpia Lombardi"
  ],
  "comment": "21 pages, in press",
  "journal": "Int. J. Theor. Phys.,(2010)",
  "doi": "10.1007/s10773-010-0614-9",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The general aim of this paper is to extend the Modal-Hamiltonian interpretation of quantum mechanics to the case of relativistic quantum mechanics with gauge U(1) elds. In this case we propose that the actual- valued observables are the Casimir operators of the Poincar\\'e group and of the group U(1) of the internal symmetry of the theory. Moreover, we also show that the magnitudes that acquire actual values in the relativistic and in the non-relativistic cases are correctly related through the adequate limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-05T03:22:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum field theory",
      "modal hamiltonian interpretation",
      "casimir operators",
      "acquire actual values",
      "relativistic quantum mechanics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.0970S"
    }
  }
}