树上薛定谔算子的绝对连续谱
谱理论
2008-05-19 v3 数学物理
math.MP
摘要
我们给出了在无圈正则根树(也称为正则 Bethe 格或 Cayley 树)上的薛定谔算子存在绝对连续谱的充分条件。
引用
@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}
}
备注
10 pages, 1 figure; a preliminary version, few more typos corrected