Asymptotic formula for an eigenvalue of the Dirichlet problem in a cranked waveguide

DOI10.3103/S1063454111030046zbMath1254.35169OpenAlexW2120519286MaRDI QIDQ1759524

Sergueï A. Nazarov

Publication date: 21 November 2012

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454111030046

zbMATH Keywords

discrete spectrumlocalized solutionstrapped modescranked quantum and acoustic waveguides

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Quantum waveguides, quantum wires (82D77)

Related Items

On symmetric wedge mode of an elastic solid, Discrete spectrum of cranked quantum and elastic waveguides, Trapped modes in angular joints of 2D waveguides

Cites Work

• Scattering theory for diffraction gratings
• Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. II
• Weakly coupled bound states in quantum waveguides
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS