Wegner bounds for one-dimensional multi-particle Bernoulli-Anderson models in the continuum
Mathematical Physics
2017-06-20 v2 math.MP
Probability
Spectral Theory
Abstract
We prove the Wegner bounds for the one-dimensional interacting multi-particle Anderson models in the continuum. The results apply to singular probability distribution functions such as the Bernoulli's measures. The proofs need the amplitude of the inter-particle interaction potential to be sufficiently weak. As a consequence, the results imply the Anderson localization via the multi-scale analysis.
Keywords
Cite
@article{arxiv.1701.05050,
title = {Wegner bounds for one-dimensional multi-particle Bernoulli-Anderson models in the continuum},
author = {Trésor Ekanga},
journal= {arXiv preprint arXiv:1701.05050},
year = {2017}
}
Comments
10 pages. arXiv admin note: text overlap with arXiv:1612.08303