Local perturbations of quantum waveguides

DOI10.1007/s11232-005-0190-yzbMath1178.81078OpenAlexW1578673226MaRDI QIDQ843778

Rustem R. Gadyl'shin

Publication date: 17 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-005-0190-y

zbMATH Keywords

perturbationSchrödinger operatorspectrumasymptotic approximationwaveguide

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Perturbation theory of linear operators (47A55) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

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Cites Work

• Bound states in a locally deformed waveguide: The critical case
• On the eigenvalues of finitely perturbed Laplace operators in infinite cylindrical domains
• Local perturbations of the Schrödinger operator on the axis
• Bound states in curved quantum waveguides
• Weakly coupled bound states in quantum waveguides
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• Bound states in weakly deformed strips and layers.