{
  "id": "math-ph/0211063",
  "version": "v1",
  "published": "2002-11-26T22:22:39.000Z",
  "updated": "2002-11-26T22:22:39.000Z",
  "title": "Quaternionic eigenvalue problem",
  "authors": [
    "S. De Leo",
    "G. Scolarici",
    "L. Solombrino"
  ],
  "comment": "13 pages, AMS-TeX",
  "journal": "Journal of Mathematical Physics v.43, p.5815-5829 (2002)",
  "doi": "10.1063/1.1511789",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We discuss the (right) eigenvalue equation for $\\mathbb{H}$, $\\mathbb{C}$ and $\\mathbb{R}$ linear quaternionic operators. The possibility to introduce an isomorphism between these operators and real/complex matrices allows to translate the quaternionic problem into an {\\em equivalent} real or complex counterpart. Interesting applications are found in solving differential equations within quaternionic formulations of quantum mechanics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-26T22:22:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Fd",
      "02.10.Ud",
      "02.10.Yn",
      "02.30.Hq",
      "02.30.Tb"
    ],
    "keywords": [
      "quaternionic eigenvalue problem",
      "linear quaternionic operators",
      "quantum mechanics",
      "eigenvalue equation",
      "real/complex matrices"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2002,
      "month": "Nov",
      "volume": 43,
      "number": 11,
      "pages": 5815
    },
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002JMP....43.5815D"
    }
  }
}