Resonances and multi-particle localization at low energy

2020/04/06 by Trésor Ekanga, Ekanga, Trésor
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems #Crystallography and Radiation Phenomena

paper · pdf · doi:10.48550/arxiv.2004.02849

Abstract

We use a new eigenvalue concentration bound for the fluctuation of the sample mean of the random extternal potential in the multi-particle Anderson model and prove the spectral exponential and the strong dynamical localization. The results just need some weaker condition on the distribution function of the sample including a large class of probability distribution such as log-Hölder continuous or Lipshitz continuous. The method also apply to i.i.d. random Gaussian potential with independent fluctuations.

Related

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