Lifshitz tails for the multi-particle continuous Anderson model

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.

References in corpus (3)

• Wegner bounds for a two-particle tight binding model
• Fixed-energy multi-particle MSA implies dynamical localization
• The integrated density of states for an interacting multielectron homogeneous model