Lifschitz Tails for Random Schr<metaTags></metaTags>quot;{o}dinger Operator in Bernoulli Distributed Potentials
Skip to main content
eScholarship
Open Access Publications from the University of California

Lifschitz Tails for Random Schr\"{o}dinger Operator in Bernoulli Distributed Potentials

  • Author(s): Bishop, Michael
  • Borovyk, Vita
  • Wehr, Jan
  • et al.

Published Web Location

https://arxiv.org/pdf/1403.5533.pdf
No data is associated with this publication.
Abstract

This paper presents an elementary proof of Lifschitz tail behavior for random discrete Schr\"{o}dinger operators with a Bernoulli-distributed potential. The proof approximates the low eigenvalues by eigenvalues of sine waves supported where the potential takes its lower value. This is motivated by the idea that the eigenvectors associated to the low eigenvalues react to the jump in the values of the potential as if the gap were infinite.

Item not freely available? Link broken?
Report a problem accessing this item