{
  "id": "1911.03371",
  "version": "v1",
  "published": "2019-11-08T16:53:31.000Z",
  "updated": "2019-11-08T16:53:31.000Z",
  "title": "Time and energy operators in the canonical quantization of special relativity",
  "authors": [
    "C. A. Aguillón",
    "M. Bauer",
    "G. E. García"
  ],
  "comment": "11 pages",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Based on Lorentz invariance and Born reciprocity invariance, the canonical quantization of Special Relativity (SR) is shown to provide a unified origin for: i) the complex vector space formulation of Quantum Mechanics (QM); ii) the momentum and space commutation relations and the corresponding representations; iii) the Dirac Hamiltonian in the formulation of Relativistic Quantum Mechanics (RQM); iv) the existence of a self adjoint Time Operator that circumvents Pauli's objection.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-08T16:53:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special relativity",
      "canonical quantization",
      "energy operators",
      "self adjoint time operator",
      "complex vector space formulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}