Absolutely continuous spectrum of a Schr\"odinger operator on a tree
Spectral Theory
2008-05-19 v3 Mathematical Physics
math.MP
Abstract
We give sufficient conditions for the presence of the absolutely continuous spectrum of a Schr\"odinger operator on a regular rooted tree without loops (also called regular Bethe lattice or Cayley tree).
Keywords
Cite
@article{arxiv.0802.1080,
title = {Absolutely continuous spectrum of a Schr\"odinger operator on a tree},
author = {S. Kupin},
journal= {arXiv preprint arXiv:0802.1080},
year = {2008}
}
Comments
10 pages, 1 figure; a preliminary version, few more typos corrected