Discrete spectrum of cranked quantum and elastic waveguides

DOI10.1134/S0965542516050171zbMath1458.35288MaRDI QIDQ327074

Sergueï A. Nazarov

Publication date: 13 October 2016

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

zbMATH Keywords

asymptotics of eigenvalueselastic isotropic waveguide with a clamped boundarytrapped modes

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with mechanics of deformable solids (35Q74) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (6)

Spectrum of a problem of elasticity theory in the union of several infinite layers ⋮ Finite-dimensional approximations of the Steklov-Poincaré operator for the Helmholtz equation in periodic waveguides ⋮ Two-dimensional asymptotic models of thin cylindrical elastic gaskets ⋮ Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides ⋮ Waves in a plane rectangular lattice of thin elastic waveguides ⋮ Eigenvalue asymptotics of long Kirchhoff plates with clamped edges

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