Wegner estimates for sign-changing single site potentials

Details Wegner estimates for sign-changing single site potentials Wegner estimates for sign-changing single site potentials

2008-06-03

arxiv.org/abs/0806.0482v1

Mathematics

Spectral Theory

Scientific paper

We study Anderson and alloy type random Schr\"odinger operators on $\ell^2(\ZZ^d)$ and $L^2(\RR^d)$. Wegner estimates are bounds on the average number of eigenvalues in an energy interval of finite box restrictions of these types of operators. For a certain class of models we prove a Wegner estimate which is linear in the volume of the box and the length of the considered energy interval. The single site potential of the Anderson/alloy type model does not need to have fixed sign, but it needs be of a generalised step function form. The result implies the Lipschitz continuity of the integrated density of states.

Affiliated with

Also associated with

No associations

Rating

Wegner estimates for sign-changing single site potentials 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 Wegner estimates for sign-changing single site potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wegner estimates for sign-changing single site potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-195175