On the absence of absolutely continuous spectra for Schrödinger operators on radial tree graphs
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Publication:5255468
DOI10.1063/1.3526963zbMath1314.81086arXiv1004.1980OpenAlexW2037550766MaRDI QIDQ5255468
Publication date: 15 June 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.1980
Trees (05C05) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Absolutely continuous spectrum for Laplacians on radial metric trees and periodicity ⋮ Manakov system on metric graphs: modeling the reflectionless propagation of vector solitons in networks ⋮ Transparent quantum graphs ⋮ Spectral theory of infinite quantum graphs ⋮ Absence of absolutely continuous spectrum for the Kirchhoff Laplacian on radial trees ⋮ Spectra of regular quantum trees: rogue eigenvalues and dependence on vertex condition
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