Spectral analysis of the Laplacian in distorted periodic waveguides
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Publication:1254672
DOI10.1007/BF01351371zbMath0399.35082MaRDI QIDQ1254672
Publication date: 1978
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/163175
Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Quantum-mechanical scattering in exterior domains with impenetrable periodic boundaries and short-range potentials ⋮ Quantum-mechanical scattering by impenetrable periodic surfaces ⋮ Scattering by periodic surfaces
Cites Work
- Scattering theory for the d'Alembert equation in exterior domains
- Spectral analysis of the Laplacian in domains with cylinders
- Asymptotic energy propagation and scattering of waves in waveguides with cylinders
- A two Hilbert space scattering theorem
- Scattering theory with two Hilbert spaces
- A Sufficient Condition for an Integral Operator to Have a Trace.
- Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals
- The principle of limiting absorption
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