{
  "id": "quant-ph/0305175",
  "version": "v1",
  "published": "2003-05-29T11:57:55.000Z",
  "updated": "2003-05-29T11:57:55.000Z",
  "title": "Uniqueness of conserved currents in quantum mechanics",
  "authors": [
    "Peter Holland"
  ],
  "comment": "22 pages",
  "journal": "Ann. Phys. (Leipzig) 12, 446-62 (2003) (slightly modified version)",
  "doi": "10.1002/andp.200310022",
  "categories": [
    "quant-ph"
  ],
  "abstract": "It is proved by a functional method that the conventional expression for the Dirac current is the only conserved 4-vector implied by the Dirac equation that is a function of just the quantum state. The demonstration is extended to derive the unique conserved currents implied by the coupled Maxwell-Dirac equations and the Klein-Gordon equation. The uniqueness of the usual Pauli and Schrodinger currents follows by regarding these as the non-relativistic limits of the Dirac and Klein-Gordon currents, respectively. The existence and properties of further conserved vectors that are not functions of just the state is examined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-29T11:57:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum mechanics",
      "uniqueness",
      "functional method",
      "conventional expression",
      "klein-gordon currents"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}