Absolutely continuous spectrum of a Schrödinger operator on a tree

Abstract

We give sufficient conditions for the presence of the absolutely continuous spectrum of a Schrödinger operator on a regular rooted tree without loops (also called regular Bethe lattice or Cayley tree).

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

References in corpus (1)

• Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder