{
  "id": "0712.0752",
  "version": "v2",
  "published": "2007-12-05T16:24:53.000Z",
  "updated": "2007-12-21T10:56:41.000Z",
  "title": "A Mathematical Justification for the Herman-Kluk Propagator",
  "authors": [
    "Torben Swart",
    "Vidian Rousse"
  ],
  "comment": "Typos corrected",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "A class of Fourier Integral Operators which converge to the unitary group of the Schroedinger equation in semiclassical limit $\\eps\\to 0$ is constructed. The convergence is in the uniform operator norm and allows for an error bound of order $O(\\eps^{1-\\rho})$ for Ehrenfest timescales, where $\\rho$ can be made arbitrary small. For the shorter times of order O(1), the error can be improved to arbitrary order in $\\eps$. In the chemical literature the approximation is known as the Herman-Kluk propagator.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-12-21T10:56:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q20",
      "35S30",
      "81S30"
    ],
    "keywords": [
      "herman-kluk propagator",
      "mathematical justification",
      "fourier integral operators",
      "uniform operator norm",
      "schroedinger equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0752S"
    }
  }
}