NON-WEYL RESONANCE ASYMPTOTICS FOR QUANTUM GRAPH WITH THE DIRAC OPERATOR ON EDGES

DOI10.30546/2409-4994.2023.49.2.259OpenAlexW4389236373MaRDI QIDQ6185514

Igor Yu. Popov, Anna G. Belolipetskaia

Publication date: 29 January 2024

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.2023.49.2.259

zbMATH Keywords

asymptoticsDirac operatorresonancequantum graph

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) (S)-matrix theory, etc. in quantum theory (81U20)

Cites Work

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• Non-Weyl resonance asymptotics for quantum graphs in a magnetic field
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• Non-Weyl asymptotics for quantum graphs with general coupling conditions
• The free Dirac operator on compact and noncompact graphs
• Resonances from perturbations of quantum graphs with rationally related edges
• Complex Scaling and the Distribution of Scattering Poles
• Complex resonances in acoustic waveguides
• Quantum graph in a magnetic field and resonance states completeness
• Completeness of resonance states for quantum graph with two semi-infinite edges
• Open quantum dots: Resonances from perturbed symmetry and bound states in strong magnetic fields

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