Absolutely continuous spectrum of a Schrödinger operator on a tree

2008/02/08 by S. Kupin, Kupin, S.
Mathematics · #34L40 #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0802.1080

openalex publication_date 2008/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

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