Eigenfunction Statistics for Anderson Model with H\"{o}lder continuous single site Potential
Spectral Theory
2017-06-08 v2 Mathematical Physics
math.MP
Abstract
We consider random Schr\"{o}dinger operators on when the distribution of single site potentials is -H\"{o}lder continuous (). In localized regime we study the distribution of eigenfunctions simultaneously in space and energy. In a certain scaling limit we prove limits point are Poisson.
Keywords
Cite
@article{arxiv.1409.7424,
title = {Eigenfunction Statistics for Anderson Model with H\"{o}lder continuous single site Potential},
author = {Dhriti Ranjan Dolai and Anish Mallick},
journal= {arXiv preprint arXiv:1409.7424},
year = {2017}
}