Fibonacci 树及类似树条上随机 Schrödinger 算子的绝对连续谱
数学物理
2015-04-16 v2 math.MP
谱理论
摘要
我们将考虑有限图与一类具有任意但有限长线段的树（如 Fibonacci 树）的直积。此类直积被称为树条。我们证明了对于此类树条上的小无序随机 Schrödinger 算子，其在特定集合内具有纯绝对连续谱。
引用
@article{arxiv.1304.3862,
title = {Absolutely Continuous Spectrum for random Schroedinger operators on the Fibonacci and similar tree-strips},
author = {Christian Sadel},
journal= {arXiv preprint arXiv:1304.3862},
year = {2015}
}
备注
30 pages, two figures; result improved, contains a certain class of tree-strips