Clock statistics for 1d Schr\"odinger operators
Mathematical Physics
2016-05-31 v1 math.MP
Probability
Spectral Theory
Abstract
We study the 1d Schr\"odinger operators with alloy type random supercritical decaying potential and prove the clock convergence for the local statistics of eigenvalues. We also consider, besides the standard i.i.d. case, more general ones with exponentially decaying correlations.
Keywords
Cite
@article{arxiv.1605.08825,
title = {Clock statistics for 1d Schr\"odinger operators},
author = {Victor Chulaevsky and Fumihiko Nakano},
journal= {arXiv preprint arXiv:1605.08825},
year = {2016}
}