Ballistic Behavior for Random Schrödinger Operators on the Bethe Strip

Details Ballistic Behavior for Random Schrödinger Operators on the Bethe Strip Ballistic Behavior for Random Schrödinger Operators on the Bethe Strip

2011-06-08

arxiv.org/abs/1106.1689v2

J. Spectr. Theory 1, 409-442 (2011)

Physics

Mathematical Physics

33 pages, revised version, to appear in Journal of Spectral Theory

Scientific paper

10.4171/JST/18

The Bethe Strip of width $m$ is the cartesian product $\B\times\{1,...,m\}$, where $\B$ is the Bethe lattice (Cayley tree). We consider Anderson-like Hamiltonians $H_\lambda=\frac12 \Delta \otimes 1 + 1 \otimes A+\lambda \Vv$ on a Bethe strip with connectivity $K \geq 2$, where $A$ is an $m\times m$ symmetric matrix, $\Vv$ is a random matrix potential, and $\lambda$ is the disorder parameter. Under certain conditions on $A$ and $K$, for which we previously proved the existence of absolutely continuous spectrum for small $\lambda$, we now obtain ballistic behavior for the spreading of wave packets evolving under $H_\lambda$ for small $\lambda$.

Affiliated with

Also associated with

No associations

Rating

Ballistic Behavior for Random Schrödinger Operators on the Bethe Strip does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ballistic Behavior for Random Schrödinger Operators on the Bethe Strip, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ballistic Behavior for Random Schrödinger Operators on the Bethe Strip will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-578752