Abstract
We consider a discrete Schrodinger operator on l2(ℤ) with a random potential decaying at infinity as ¦n¦−1/2. We prove that its spectrum is purely singular. Together with previous results, this provides simple examples of random Schrodinger operators having a singular continuous component in its spectrum.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have