Klopp, Frederic; Zenk, Heribert (2009): The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model. In: Advances in Mathematical Physics, Vol. 2009, 679827




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. Copyright (C) 2009 F. Klopp and H. Zenk.