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

Frédéric Klopp | Zendy; Heribert Zenk | Zendy

Open Access

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

Author(s) -

Frédéric Klopp,

Heribert Zenk

Publication year - 2009

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2009/679827

Subject(s) - hamiltonian (control theory) , homogeneous , physics , density of states , anderson impurity model , statistical physics , classical mechanics , quantum mechanics , mathematics , mathematical optimization , electron

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

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