{
  "id": "1510.04876",
  "version": "v1",
  "published": "2015-10-15T17:16:27.000Z",
  "updated": "2015-10-15T17:16:27.000Z",
  "title": "Symmetries of the Hamiltonian operator and constants of motion",
  "authors": [
    "G. F. Torres del Castillo",
    "J. E. Herrera Flores"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "It is shown that, in the framework of non-relativistic quantum mechanics, any conserved Hermitian operator (which may depend explicitly on the time) is the generator of a one-parameter group of unitary symmetries of the Hamiltonian and that, conversely, any one-parameter family of unitary symmetries of the Hamiltonian is generated by a conserved Hermitian operator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-15T17:16:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamiltonian operator",
      "conserved hermitian operator",
      "unitary symmetries",
      "non-relativistic quantum mechanics",
      "one-parameter group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151004876T"
    }
  }
}