English

Decorrelation estimates for some continuous and discrete random Schr{\"o}dinger operators in dimension one, without covering condition

Mathematical Physics 2015-05-25 v1 math.MP

Abstract

The purpose of the present work is to establish decorrelation estimates at distinct energies for some random Schr{\"o}dinger operator in dimension one. In particular, we establish the result for some random operators on the continuum with alloy-type potential without covering condition assumption. These results are used to give a description of the spectral statistics.

Keywords

Cite

@article{arxiv.1505.06112,
  title  = {Decorrelation estimates for some continuous and discrete random Schr{\"o}dinger operators in dimension one, without covering condition},
  author = {Christopher Shirley},
  journal= {arXiv preprint arXiv:1505.06112},
  year   = {2015}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1409.8376