The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model

Klopp, Frederic and 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

Abstract

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.

• Item Type: Journal article
• Form of publication: Publisher's Version
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1687-9120
• Language: English