English

The repulsion between localization centers in the Anderson model

Mathematical Physics 2009-11-11 v1 Disordered Systems and Neural Networks math.MP

Abstract

In this note we show that, a simple combination of deep results in the theory of random Schr\"odinger operators yields a quantitative estimate of the fact that the localization centers become far apart, as corresponding energies are close together.

Keywords

Cite

@article{arxiv.math-ph/0603029,
  title  = {The repulsion between localization centers in the Anderson model},
  author = {Fumihiko Nakano},
  journal= {arXiv preprint arXiv:math-ph/0603029},
  year   = {2009}
}