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. 409–442DOI 10.4171/JST/18