{
  "id": "0802.2217",
  "version": "v1",
  "published": "2008-02-15T14:53:20.000Z",
  "updated": "2008-02-15T14:53:20.000Z",
  "title": "Quantum mechanical sum rules for two model systems",
  "authors": [
    "M. Belloni",
    "R. W. Robinett"
  ],
  "comment": "23 pages, no figures, to appear in Am. J. Phys",
  "doi": "10.1119/1.2908194",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Sum rules have played an important role in the development of many branches of physics since the earliest days of quantum mechanics. We present examples of one-dimensional quantum mechanical sum rules and apply them in two familiar systems, the infinite well and the single delta-function potential. These cases illustrate the different ways in which such sum rules can be realized, and the varying mathematical techniques by which they can be confirmed. Using the same methods, we also evaluate the second-order energy shifts arising from the introduction of a constant external field, namely the Stark effect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-15T14:53:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.-w"
    ],
    "keywords": [
      "model systems",
      "one-dimensional quantum mechanical sum rules",
      "single delta-function potential",
      "constant external field",
      "second-order energy shifts"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "American Journal of Physics",
      "year": 2008,
      "month": "Sep",
      "volume": 76,
      "number": 9,
      "pages": 798
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008AmJPh..76..798B"
    }
  }
}