{
  "id": "hep-th/0001220",
  "version": "v1",
  "published": "2000-01-31T17:20:28.000Z",
  "updated": "2000-01-31T17:20:28.000Z",
  "title": "Spin Observables and Path Integrals",
  "authors": [
    "J. A. Lopez",
    "J. Stephany"
  ],
  "comment": "17 pages",
  "journal": "Proceedings of the VI International Wigner Symposium, Ed. Engin Arik, p.781-789, Bogazici Universitesi Vakfi, Istambul (2002).",
  "categories": [
    "hep-th",
    "quant-ph"
  ],
  "abstract": "We discuss the formulation of spin observables associated to a non-relativistic spinning particles in terms of grassmanian differential operators. We use as configuration space variables for the pseudo-classical description of this system the positions $x$ and a Grassmanian vector $\\vec\\epsilon$. We consider an explicit discretization procedure to obtain the quantum amplitudes as path integrals in this superspace. We compute the quantum action necessary for this description including an explicit expression for the boundary terms. Finally we shown how for simple examples, the path integral may be performed in the semi-classical approximation, leading to the correct quantum propagator.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-01-31T17:20:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "path integral",
      "spin observables",
      "explicit discretization procedure",
      "configuration space variables",
      "quantum action necessary"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 523496,
      "adsabs": "2000hep.th....1220L"
    }
  }
}