Absolutely continuous spectrum for quantum trees

We study the spectra of quantum trees of finite cone type. These are quantum graphs whose geometry has a certain homogeneity, and which carry a finite set of edge lengths, coupling constants and potentials on the edges. We show the spectrum consists of bands of purely absolutely continuous spectrum,...

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Bibliographic Details
Main Authors: Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri, Brian Winn
Format: Default Article
Published: 2021
Online Access:https://hdl.handle.net/2134/13084724.v1
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