Ring chains with vertex coupling of a preferred orientation

DOI10.1142/S0129055X20600053zbMath1499.81055arXiv1912.03667OpenAlexW3106264067MaRDI QIDQ5156020

Marzieh Baradaran, Pavel Exner, Miloš Tater

Publication date: 14 October 2021

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03667

zbMATH Keywords

quantum graphsperiodic structurespectral gaps

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Schrödinger operator, Schrödinger equation (35J10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (10)

Kagome network with vertex coupling of a preferred orientation ⋮ Spectrum of periodic chain graphs with time-reversal non-invariant vertex coupling ⋮ Magnetic square lattice with vertex coupling of a preferred orientation ⋮ Resolvent of a Schrödinger operator on a model graph with small loops ⋮ Exotic eigenvalues of shrinking metric graphs ⋮ Topological bulk-edge effects in quantum graph transport ⋮ Quantum graphs: self-adjoint, and yet exhibiting a nontrivial \(\mathcal{PT}\)-symmetry ⋮ Unnamed Item ⋮ Zero measure and singular continuous spectra for quantum graphs ⋮ Magnetic ring chains with vertex coupling of a preferred orientation

Cites Work

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• Spectral analysis on graph-like spaces
• Quantum graphs with vertices of a preferred orientation
• Limits of quantum graph operators with shrinking edges
• A general approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds
• Contact interactions on graph superlattices

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