Multiparticle Localization at Low Energy for Multidimensional Continuous Anderson Models
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-05
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study the multiparticle Anderson model in the continuum and show that under some mild assumptions on the random external potential and the inter-particle interaction, for any finite number of particles, the multiparticle lower spectral edges are almost surely constant in absence of ergodicity.
We stress that this result is not quite obvious and has to be handled carefully.
In addition, we prove the spectral exponential and the strong dynamical localization of the continuous multiparticle Anderson model at low energy.
The proof based on the multiparticle multiscale analysis bounds needs the values of the external random potential to be independent and identically distributed, whose common probability distribution is at least Log-Hölder continuous.
American Psychological Association (APA)
Ekanga, Trésor. 2020. Multiparticle Localization at Low Energy for Multidimensional Continuous Anderson Models. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1127414
Modern Language Association (MLA)
Ekanga, Trésor. Multiparticle Localization at Low Energy for Multidimensional Continuous Anderson Models. Advances in Mathematical Physics No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1127414
American Medical Association (AMA)
Ekanga, Trésor. Multiparticle Localization at Low Energy for Multidimensional Continuous Anderson Models. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1127414
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127414