Absolutely continuous spectrum of a Schrödinger operator on a tree

Details Absolutely continuous spectrum of a Schrödinger operator on a tree Absolutely continuous spectrum of a Schrödinger operator on a tree

2008-02-08

arxiv.org/abs/0802.1080v3

Mathematics

Spectral Theory

10 pages, 1 figure; a preliminary version, few more typos corrected

Scientific paper

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).

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