{
  "id": "2104.13356",
  "version": "v1",
  "published": "2021-04-27T17:35:40.000Z",
  "updated": "2021-04-27T17:35:40.000Z",
  "title": "Semiclassical resonance asymptotics for the delta potential on the half line",
  "authors": [
    "Kiril Datchev",
    "Nkhalo Malawo"
  ],
  "comment": "9 pages, 2 figures",
  "categories": [
    "math-ph",
    "math.AP",
    "math.CA",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We compute resonance width asymptotics for the delta potential on the half-line, by deriving a formula for resonances in terms of the Lambert W function and applying a series expansion. This potential is a simple model of a thin barrier, motivated by physical problems such as quantum corrals and leaky quantum graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-27T17:35:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semiclassical resonance asymptotics",
      "delta potential",
      "half line",
      "resonance width asymptotics",
      "leaky quantum graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}