Wegner bounds for a two-particle tight binding model

Abstract

We consider a quantum two-particle system on a d-dimensional lattice with interaction and in presence of an IID external potential. We establish Wegner-typer estimates for such a model. The main tool used is Stollmann's lemma.

References in corpus (2)

• A Wegner estimate for multi-particle random Hamiltonians
• Anderson localisation for an interacting two-particle quantum system on $\mathbb{Z}$

Cited by in corpus (3)

• Eigenfunctions in a two-particle Anderson tight binding model
• Anderson localization in a two-particle continuous model with an alloy-type external potential
• An uncertainty principle, Wegner estimates and localization near fluctuation boundaries