The Integrated Density of States foran InteractingMultiparticle Homogeneous Model and Applications to the Anderson Model

Advances in Mathematical Physics

FrédéricKlopp¹  HeribertZenk¹ 

DOI  :  10.1155/2009/679827

学科分类：物理（综合）

来源: Hindawi Publishing Corporation

【 摘 要 】

For a system ofninteracting particles moving in thebackground of a “homogeneous” potential, we show that if thesingle particle Hamiltonian admits a density of states, so does the interactingn-particle Hamiltonian. Moreover, this integrated density of statescoincides with that of the free particle Hamiltonian. For theinteractingn-particle Anderson model, we prove regularityproperties of the integrated density of states by establishing aWegner estimate.

【 授权许可】

Unknown