{
  "id": "1405.6478",
  "version": "v2",
  "published": "2014-05-26T07:02:25.000Z",
  "updated": "2014-12-15T20:47:26.000Z",
  "title": "Semiclassical Double-Inequality on Heisenberg Uncertainty Relation in 1D",
  "authors": [
    "Klaus Bering"
  ],
  "comment": "14 pages, LaTeX. v2: Minor corrections",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove a double-inequality for the product of uncertainties for position and momentum of bound states for 1D quantum mechanical systems in the semiclassical limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-26T07:02:25.000Z",
      "comment": "14 pages, LaTeX",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-12-15T20:47:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg uncertainty relation",
      "semiclassical double-inequality",
      "1d quantum mechanical systems",
      "bound states",
      "semiclassical limit"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.6478B"
    }
  }
}