Ballistic behavior for random Schrödinger operators on the Bethe strip

  • Abel Klein

    University of California, Irvine, United States
  • Christian Sadel

    Pontificia Universidad Católica de Chile, Santiago De Chile, Chile

Abstract

The Bethe strip of width is the Cartesian product , where is the Bethe lattice (Cayley tree). We consider Anderson-like Hamiltonians on a Bethe strip with connectivity , where is an symmetric matrix, is a random matrix potential, and is the disorder parameter. Under certain conditions on and , for which we previously proved the existence of absolutely continuous spectrum for small , we now obtain ballistic behavior for the spreading of wave packets evolving under for small .

Cite this article

Abel Klein, Christian Sadel, Ballistic behavior for random Schrödinger operators on the Bethe strip. J. Spectr. Theory 1 (2011), no. 4, pp. 409–442

DOI 10.4171/JST/18