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

Klopp, Frederic und 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, Bd. 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.

• Dokumententyp: Zeitschriftenartikel
• Publikationsform: Publisher's Version
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1687-9120
• Sprache: Englisch