{
  "id": "quant-ph/9808034",
  "version": "v2",
  "published": "1998-08-20T05:06:20.000Z",
  "updated": "1998-08-31T07:24:34.000Z",
  "title": "Some Aspects of Generalized Contact Interaction in One-Dimensional Quantum Mechanics",
  "authors": [
    "Taksu Cheon",
    "T. Shigehara"
  ],
  "comment": "Talk presented at The 7th International Conference on Mathematical Results in Quantum Mechanics (Qmath7), June 22-26, 1998, Prague, Czechland",
  "categories": [
    "quant-ph",
    "cond-mat",
    "hep-th",
    "nlin.SI",
    "nucl-th",
    "solv-int"
  ],
  "abstract": "We construct a one-dimensional contact interaction ($\\epsilon$ potential) which induces the discontinuity of the wave function while keeping its derivative continuous. By combining the $\\epsilon$ potential and the Dirac's $\\delta$ function, we construct most general one-dimensional contact interactions allowable under the time reversal symmetry. We present some elementary results for the scattering problem which suggest a dual relation between $\\delta$ and $\\epsilon$ potentials.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1998-08-31T07:24:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional quantum mechanics",
      "generalized contact interaction",
      "general one-dimensional contact interactions allowable",
      "time reversal symmetry",
      "wave function"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 475108,
      "adsabs": "1999mrqm.conf..203C"
    }
  }
}