
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 |
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Form of publication: | Publisher's Version |
Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
URN: | urn:nbn:de:bvb:19-epub-24374-6 |
ISSN: | 1687-9120 |
Language: | English |
Item ID: | 24374 |
Date Deposited: | 26. Mar 2015, 08:54 |
Last Modified: | 13. Aug 2024, 12:41 |