Non-Weyl resonance asymptotics for quantum graphs in a magnetic field

DOI10.1016/j.physleta.2010.12.042zbMath1241.81078arXiv1011.5761OpenAlexW2019879353MaRDI QIDQ430723

Jiří Lipovský, Pavel Exner

Publication date: 26 June 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5761

zbMATH Keywords

magnetic fieldresonancesWeyl asymptoticsquantum graphs

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Resonance in context of PDEs (35B34) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (5)

Scattering resonances of large weakly open quantum graphs ⋮ Rayleigh estimates for differential operators on graphs ⋮ NON-WEYL RESONANCE ASYMPTOTICS FOR QUANTUM GRAPH WITH THE DIRAC OPERATOR ON EDGES ⋮ Quantum graph in a magnetic field and resonance states completeness ⋮ An elementary introduction to quantum graphs

Cites Work

• Unnamed Item
• Quantum wires with magnetic fluxes
• Non-Weyl resonance asymptotics for quantum graphs
• Non-Weyl asymptotics for quantum graphs with general coupling conditions
• Quantum graphs: an introduction and a brief survey
• Resonances from perturbations of quantum graphs with rationally related edges

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