{
  "id": "math/0509642",
  "version": "v1",
  "published": "2005-09-27T18:11:01.000Z",
  "updated": "2005-09-27T18:11:01.000Z",
  "title": "Function spaces associated with Schroedinger operators: the Poeschl-Teller potential",
  "authors": [
    "Gestur Olafsson",
    "Shijun Zheng"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We address the function space theory associated with the Schroedinger operator H. The discussion is featured with the Poeschl-Teller potential in quantum physics. Using biorthogonal dyadic system, we introduce Besov spaces and Triebel-Lizorkin spaces (including Sobolev spaces) associated with H. We then use interpolation method to identify these spaces with the classical ones for a certain range of p,q> 1. A physical implication is that the corresponding wave function $\\psi(t,x)=e^{-i t H }f(x)$ admits appropriate time decay in the Besov space scale.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-27T18:11:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "35P25"
    ],
    "keywords": [
      "function spaces",
      "schroedinger operator",
      "poeschl-teller potential",
      "admits appropriate time decay",
      "besov space scale"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9642O"
    }
  }
}