{
  "id": "quant-ph/0409121",
  "version": "v5",
  "published": "2004-09-18T12:51:58.000Z",
  "updated": "2005-05-09T20:37:06.000Z",
  "title": "Controllability of Scattering States of Quantum Mechanical Systems",
  "authors": [
    "Re-Bing Wu",
    "Tzyh-Jong Tarn",
    "Chun-Wen Li"
  ],
  "categories": [
    "quant-ph"
  ],
  "abstract": "This paper provides a framework for the control of quantum mechanical systems with scattering states, i.e., systems with continuous spectra. We present the concept and prove a criterion of the approximate strong smooth controllability. Our results make non-trivial extensions from quantum systems with finite dimensional control Lie algebras to those with infinite dimensions. It also opens up many interesting problems for future studies.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2005-05-09T20:37:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum mechanical systems",
      "scattering states",
      "finite dimensional control lie algebras",
      "approximate strong smooth controllability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004quant.ph..9121W"
    }
  }
}