Lifshitz tails for the multi-particle continuous Anderson model
Mathematical Physics
2016-10-31 v1 math.MP
Abstract
We consider the multi-particle Anderson model in the continuum and show that under some mild assumptions on the inter-particle interaction and the external potential, its lower spectral edge is almost surely constant and is the same with that of the single-particle model. We then obtain the lifshitz asymptotics for the multi-particle hamiltonian in the continuum near the bottom of the spectrum.
Keywords
Cite
@article{arxiv.1610.09179,
title = {Lifshitz tails for the multi-particle continuous Anderson model},
author = {Trésor Ekanga},
journal= {arXiv preprint arXiv:1610.09179},
year = {2016}
}