Exponential decay of eigenfunctions in a continuous multi-particle Anderson model with sub-exponentially decaying interaction
Mathematical Physics
2014-08-21 v1 math.MP
Abstract
This short note is a complement to our recent paper [2] where we established 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. We show that the localized eigenfunctions at low energies actually decay exponentially fast. This improves the results by Fauser and Warzel who established sub-exponential decay of eigenfunctions in presence of a sub-exponentially decaying interaction.
Cite
@article{arxiv.1408.4646,
title = {Exponential decay of eigenfunctions in a continuous multi-particle Anderson model with sub-exponentially decaying interaction},
author = {Victor Chulaevsky},
journal= {arXiv preprint arXiv:1408.4646},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1407.4671