Spectrum of the Dirichlet Laplacian in sheared waveguides

DOI10.1007/s00033-020-01444-zzbMath1464.35162arXiv2005.04772OpenAlexW3118575763MaRDI QIDQ2026449

Alessandra A. Verri

Publication date: 19 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.04772

zbMATH Keywords

essential spectrumdiscrete spectrumDirichlet Laplaciansheared waveguides

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Partial differential inequalities and systems of partial differential inequalities (35R45) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

The asymptotic behaviour of the heat equation in a sheared unbounded strip

Cites Work

• Unnamed Item
• Unnamed Item
• Waveguides with asymptotically diverging twisting
• Ruled strips with asymptotically diverging twisting
• A Hardy inequality in twisted waveguides
• Instability results for the damped wave equation in unbounded domains
• Existence of bound states in quantum waveguides under weak conditions
• Eigenvalue and resonance asymptotics in perturbed periodically twisted tubes: twisting versus bending
• Quantum waveguides
• Hardy inequalities in globally twisted waveguides
• Asymptotic behavior of the eigenvalues of the Schrödinger operator with transversal potential in a weakly curved infinite cylinder
• Spectral analysis of sheared nanoribbons
• Spectrum of the Schrödinger operator in a perturbed periodically twisted tube
• Geometrically induced discrete spectrum in curved tubes
• On the spectrum of curved planar waveguides
• The nature of the essential spectrum in curved quantum waveguides
• Bound states in curved quantum waveguides
• Twisting versus bending in quantum waveguides
• Resonances in twisted quantum waveguides
• Eigenvalue Asymptotics in a Twisted Waveguide
• Elliptic Partial Differential Equations of Second Order
• Bound states in tubular quantum waveguides with torsion
• Resonances near thresholds in slightly twisted waveguides
• Geometric coupling thresholds in a two-dimensional strip
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• On the curvature and torsion effects in one dimensional waveguides
• Bound states in weakly deformed strips and layers.
• Bound states in curved quantum layers

This page was built for publication: Spectrum of the Dirichlet Laplacian in sheared waveguides