The integrated density of states for an interacting multiparticle homogeneous model and applications to the Anderson model (Q606102)

Summary: For a system of \(n\) interacting particles moving in the background of a ``homogeneous'' potential, we show that if the single particle Hamiltonian admits a density of states, so does the interacting \(n\)-particle Hamiltonian. Moreover, this integrated density of states coincides with that of the free particle Hamiltonian. For the interacting \(n\)-particle Anderson model, we prove regularity properties of the integrated density of states by establishing a Wegner estimate.