Level repulsion for Schroedinger operators with singular continuous spectrum
Spectral Theory
2017-08-29 v2
Abstract
We describe a family of half-line continuum Schroedinger operators with purely singular continuous essential spectrum, exhibiting asymptotic strong level repulsion (known as clock behavior). This follows from the convergence of the renormalized continuum Christoffel-Darboux kernel to the sine kernel.
Keywords
Cite
@article{arxiv.1612.01123,
title = {Level repulsion for Schroedinger operators with singular continuous spectrum},
author = {Jonathan Breuer and Daniel Weissman},
journal= {arXiv preprint arXiv:1612.01123},
year = {2017}
}