{
  "id": "1411.4506",
  "version": "v1",
  "published": "2014-11-17T15:07:17.000Z",
  "updated": "2014-11-17T15:07:17.000Z",
  "title": "Quantum resonances and time decay for a double-barrier model",
  "authors": [
    "Andrea Sacchetti"
  ],
  "comment": "16 pages, 3 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Here we consider the time evolution of a one-dimensional quantum system with a double barrier given by a couple of two repulsive Dirac's deltas. In such a \"pedagogical\" model we give, by means of the theory of quantum resonances, the explicit expression of the dominant terms of $<\\psi, e^{-it H} \\phi >$, where $H$ is the double-barrier Hamiltonian operator and where $\\psi$ and $\\phi$ are two test functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-17T15:07:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum resonances",
      "time decay",
      "double-barrier model",
      "one-dimensional quantum system",
      "double-barrier hamiltonian operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.4506S"
    }
  }
}