Bound-state asymptotic estimates for window-coupled Dirichlet strips and layers

DOI10.1088/0305-4470/30/22/023zbMath0930.58016arXivfunct-an/9709003OpenAlexW3103066640MaRDI QIDQ4255740

Pavel Exner, Semjon A. Vugalter

Publication date: 22 August 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9709003

zbMATH Keywords

discrete spectrumDirichlet Laplacianbound-state asymptotic estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (23)

Distant perturbation asymptotics in window-coupled waveguides. I. The nonthreshold case ⋮ Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics ⋮ A quantum waveguide with Aharonov–Bohm magnetic field ⋮ Asymptotics of bound states and bands for laterally coupled waveguides and layers ⋮ Bound states in coupled guides. I. Two dimensions ⋮ On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition ⋮ Perturbation of threshold of essential spectrum for waveguides with windows. II: Asymptotics ⋮ Asymptotics of an eigenvalue on the continuous spectrum of two quantum waveguides coupled through narrow windows ⋮ Perturbations of the continuous spectrum of a certain nonlinear two-dimensional operator sheaf ⋮ Asymptotics of bound state for laterally coupled waveguides. ⋮ Resonances for laterally coupled quantum waveguides ⋮ Lieb-Thirring inequalities for geometrically induced bound states ⋮ Asymptotics of bound states and bands for waveguides coupled through small windows. ⋮ Asymptotics of bound states and bands for laterally coupled three-dimensional waveguides ⋮ Violation of symmetry in the system of three laterally coupled quantum waveguides, and resonance asymptotics ⋮ Asymptotics of resonances and bound states for laterally coupled curved quantum waveguides ⋮ Electron in a multilayered magnetic structure: resonance asymptotics ⋮ Dirac operator spectrum in tubes and layers with a zigzag-type boundary ⋮ Planar waveguide with “twisted” boundary conditions: Discrete spectrum ⋮ On the number of particles that a curved quantum waveguide can bind ⋮ On the spectrum of curved planar waveguides ⋮ Coupled dielectric waveguides: variational estimations ⋮ Perturbation of threshold of essential spectrum for waveguides with windows. I: Decreasing resonance solutions

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