{
  "id": "1807.04254",
  "version": "v1",
  "published": "2018-07-11T17:26:10.000Z",
  "updated": "2018-07-11T17:26:10.000Z",
  "title": "On persistence of superoscillations for Schrödinger equation with time-dependent quadratic Hamiltonians",
  "authors": [
    "E. Hight",
    "J. Palacio",
    "T. Oraby",
    "E. Suazo"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this work we study the persistence on time of superoscillations for Schr\\\"{o}dinger equations with variable coefficients. We generalize results obtained for particular Hamiltonians to more general quadratic Hamiltonians. Including Caldirola-Kanai and degenerate parametric harmonic oscillator Hamiltonians.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-11T17:26:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "time-dependent quadratic hamiltonians",
      "schrödinger equation",
      "persistence",
      "degenerate parametric harmonic oscillator hamiltonians",
      "superoscillations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}