{
  "id": "1310.4745",
  "version": "v3",
  "published": "2013-10-17T15:24:46.000Z",
  "updated": "2016-01-04T17:55:32.000Z",
  "title": "Instability of pre-existing resonances under a small constant electric field",
  "authors": [
    "I. Herbst",
    "J. Rama"
  ],
  "comment": "54 pages, 11 figures. No changes w.r.t. preprint version of 03/29/2014, except publisher information added. The final publication is available at link.springer.com",
  "journal": "Annales Henri Poincare 16 (2015), 2783-2835",
  "doi": "10.1007/s00023-014-0389-2",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Two simple model operators are considered which have pre-existing resonances. A potential corresponding to a small electric field, $f$, is then introduced and the resonances of the resulting operator are considered as $f\\to0$. It is shown that these resonances are not continuous in this limit. It is conjectured that a similar behavior will appear in more complicated models of atoms and molecules. Numerical results are presented.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-29T14:11:25.000Z",
      "comment": "51 pages, 11 figures. Revised article: some additional information and references added, typos corrected, some parts slightly reorganized, results unchanged",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-01-04T17:55:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q99"
    ],
    "keywords": [
      "small constant electric field",
      "pre-existing resonances",
      "instability",
      "simple model operators",
      "small electric field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015AnHP...16.2783H"
    }
  }
}