The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2009/679827 |
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| _version_ | 1832560210752831488 |
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| author | Frédéric Klopp Heribert Zenk |
| author_facet | Frédéric Klopp Heribert Zenk |
| author_sort | Frédéric Klopp |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-cd6645fc9e164a33840c5cd528504c10 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-cd6645fc9e164a33840c5cd528504c102025-02-03T01:28:11ZengWileyAdvances in Mathematical Physics1687-91201687-91392009-01-01200910.1155/2009/679827679827The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson ModelFrédéric Klopp0Heribert Zenk1LAGA, Institut Galilée, Université Paris-Nord, 93430 Villetaneuse, FranceMathematisches Institut, Ludwig-Maximilians-Universität, Theresienstraße 39, 80333 München, GermanyFor 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.http://dx.doi.org/10.1155/2009/679827 |
| spellingShingle | Frédéric Klopp Heribert Zenk The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model Advances in Mathematical Physics |
| title | The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model |
| title_full | The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model |
| title_fullStr | The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model |
| title_full_unstemmed | The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model |
| title_short | The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model |
| title_sort | integrated density of states for an interacting multiparticle homogeneous model and applications to the anderson model |
| url | http://dx.doi.org/10.1155/2009/679827 |
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