Some examples in one-dimensional ``geometric scattering on manifolds

DOI10.1006/jmaa.1997.5497zbMath0914.58037OpenAlexW2045389405MaRDI QIDQ1364842

Alexander Kiselev

Publication date: 6 June 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/880bc4aa37ed76f07110da5015369b3dc899dda6

zbMATH Keywords

scatteringsharp resonancessingular Laplaciantransition coefficientWannier-Stark ladders

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

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Cites Work

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• Acoustic model of zero-width slits and hydrodynamic boundary layer stability
• Scattering problems on noncompact graphs
• Perturbation formula of eigenvalues in singularly perturbed domain
• Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities
• Quantum motion on a half-line connected to a plane
• THE HELMHOLTZ RESONATOR AND THE THEORY OF OPERATOR EXTENSIONS IN A SPACE WITH INDEFINITE METRIC
• Periodic Schrödinger operators with large gaps and Wannier-Stark ladders
• The absence of the absolutely continuous spectrum for δ ′ Wannier–Stark ladders

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