Exponential decay of eigenfunctions in a continuous multi-particle Anderson model with sub-exponentially decaying interaction
| Autor: | Chulaevsky, Victor |
|---|---|
| Rok vydání: | 2014 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This short note is a complement to our recent paper [2] where we established strong dynamical localization for a class of multi-particle Anderson models in a Euclidean space with an alloy-type random potential and a sub-exponentially decaying interaction of infinite range. We show that the localized eigenfunctions at low energies actually decay exponentially fast. This improves the results by Fauser and Warzel who established sub-exponential decay of eigenfunctions in presence of a sub-exponentially decaying interaction. Comment: arXiv admin note: substantial text overlap with arXiv:1407.4671 |
| Databáze: | arXiv |
| Externí odkaz: |
|