{
  "id": "1201.6047",
  "version": "v1",
  "published": "2012-01-29T16:01:45.000Z",
  "updated": "2012-01-29T16:01:45.000Z",
  "title": "The exponential of the spin representation of the Lorentz algebra",
  "authors": [
    "Jason Hanson"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "As discussed in a previous article, any (real) Lorentz algebra element possess a unique orthogonal decomposition as a sum of two mutually annihilating decomposable Lorentz algebra elements. In this article, this concept is extended to the spin representation of the Lorentz algebra. As an application, a formula for the exponential of the spin representation is obtained, as well as a formula for the spin representation of a proper orthochronous Lorentz transformation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-29T16:01:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E43"
    ],
    "keywords": [
      "spin representation",
      "exponential",
      "lorentz algebra element possess",
      "proper orthochronous lorentz transformation",
      "annihilating decomposable lorentz algebra elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.6047H"
    }
  }
}