scientific article; zbMATH DE number 7724934

DOI10.47475/2500-0101-2023-18106zbMath1520.35031MaRDI QIDQ6170381

Unnamed Author, Unnamed Author, Unnamed Author, Igor Yu. Popov

Publication date: 10 August 2023

Full work available at URL: http://mathnet.ru/eng/chfmj311

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

asymptoticsscatteringresonancecoupled waveguideslow-dimensional system

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic expansions of solutions to PDEs (35C20) Resonance in context of PDEs (35B34)

Cites Work

• Unnamed Item
• Unnamed Item
• Gap opening and split band edges in waveguides coupled by a periodic system of small windows
• Asymptotics of resonances and bound states for laterally coupled curved quantum waveguides
• Electron in a multilayered magnetic structure: resonance asymptotics
• On the resonances of the Laplacian on waveguides
• Some upper bounds on the number of resonances for manifolds with infinite cylindrical ends
• Resonances for a semi-classical Schrödinger operator near a non trapping energy level
• Resonance curve in rectangular closed channel
• Asymptotic structure of the spectrum in a Dirichlet-strip with double periodic perforations
• Quantum waveguides
• On the band spectrum of a Schrödinger operator in a periodic system of domains coupled by small windows
• Resonances for laterally coupled quantum waveguides
• Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve
• Complex Scaling and the Distribution of Scattering Poles
• EXTENSION THEORY AND LOCALIZATION OF RESONANCES FOR DOMAINS OF TRAP TYPE
• The resonator with narrow slit and the model based on the operator extensions theory
• A perturbation theory of resonances
• Existence and asymptotics of poles with small imaginary part for the Helmholtz resonator
• Complex resonances in acoustic waveguides
• Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem
• Analogues of the Helmholtz resonator in homogenization theory
• Asymptotic estimates for bound states in quantum waveguides coupled laterally through a narrow window
• Open quantum dots: Resonances from perturbed symmetry and bound states in strong magnetic fields
• Asymptotics of bound states and bands for waveguides coupled through small windows.

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