Efficient localization bounds in a continuous multi-particle Anderson model with long-range interaction
Mathematical Physics
2014-07-18 v1 math.MP
Abstract
We establish strong dynamical localization for a class of multi-particle Anderson models in a Euclidean space with an alloy-type random potential and a sub-exponentially decaying interaction of infinite range. For the first time in the mathematical literature, the uniform decay bounds on the eigenfunction correlators at low energies are proved, in the multi-particle continuous configuration space, in the norm-distance and not in the Hausdorff pseudo-metric.
Keywords
Cite
@article{arxiv.1407.4671,
title = {Efficient localization bounds in a continuous multi-particle Anderson model with long-range interaction},
author = {Victor Chulaevsky},
journal= {arXiv preprint arXiv:1407.4671},
year = {2014}
}