{
  "id": "quant-ph/9901023",
  "version": "v1",
  "published": "1999-01-11T10:17:19.000Z",
  "updated": "1999-01-11T10:17:19.000Z",
  "title": "Phases of Wave Functions and Level Repulsion",
  "authors": [
    "W. D. Heiss"
  ],
  "comment": "4 pages Latex, 2 figures encapsulated postscripts (*.epsi) submitted to The European Physical Journal D",
  "doi": "10.1007/s100530050339",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Avoided level crossings are associated with exceptional points which are the singularities of the spectrum and eigenfunctions, when they are considered as functions of a coupling parameter. It is shown that the wave function of {\\it one} state changes sign but not the other, if the exceptional point is encircled in the complex plane. An experimental setup is suggested where this peculiar phase change could be observed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-01-11T10:17:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Bz",
      "02.30.Dk",
      "84.40.-x"
    ],
    "keywords": [
      "wave function",
      "level repulsion",
      "exceptional point",
      "peculiar phase change",
      "state changes sign"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal D",
      "year": 1999,
      "month": "Aug",
      "volume": 7,
      "number": 1,
      "pages": 1
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 493925,
      "adsabs": "1999EPJD....7....1H"
    }
  }
}