{
  "id": "quant-ph/0103153",
  "version": "v1",
  "published": "2001-03-28T13:32:21.000Z",
  "updated": "2001-03-28T13:32:21.000Z",
  "title": "Self-adjoint extensions of operators and the teaching of quantum mechanics",
  "authors": [
    "Guy Bonneau",
    "Jacques Faraut",
    "Galliano Valent"
  ],
  "comment": "25 pages, Latex file, extended version of Am. J. Phys. 69 (2001) 322",
  "journal": "Am.J.Phys. 69 (2001) 322",
  "doi": "10.1119/1.1328351",
  "categories": [
    "quant-ph",
    "hep-th"
  ],
  "abstract": "For the example of the infinitely deep well potential, we point out some paradoxes which are solved by a careful analysis of what is a truly self-adjoint operator. We then describe the self-adjoint extensions and their spectra for the momentum and the Hamiltonian operators in different physical situations. Some consequences are worked out, which could lead to experimental checks.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-03-28T13:32:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-adjoint extensions",
      "quantum mechanics",
      "truly self-adjoint operator",
      "hamiltonian operators",
      "experimental checks"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 517299
    }
  }
}