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

Frédéric Klopp and Heribert Zenk

Advances in Mathematical Physics, 2009, vol. 2009, 1-15

Abstract:

For a system of ð ‘› 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 ð ‘› -particle Hamiltonian. Moreover, this integrated density of states coincides with that of the free particle Hamiltonian. For the interacting ð ‘› -particle Anderson model, we prove regularity properties of the integrated density of states by establishing a Wegner estimate.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:679827

DOI: 10.1155/2009/679827

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