Scattering by periodic surfaces

DOI10.1063/1.525477zbMath0495.35031OpenAlexW1973506103MaRDI QIDQ3958823

Albert W. Sáenz

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525477

zbMATH Keywords

exterior domaininvariance principleasymptotic completenesswave operatorsscattering by periodic surfacesacoustic and electromagnetic scatteringnegative Dirichlet and Neumann Laplaciansquantum-mechanical scattering of slow atoms by crystal surfaces

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Quantum scattering theory (81U99)

Related Items

Quantum-mechanical scattering in exterior domains with impenetrable periodic boundaries and short-range potentials ⋮ Scattering theory for high order operators in domains with infinite boundary

Cites Work

• Spectral analysis of the Laplacian in domains with cylinders
• Erratum: A two Hilbert space scattering theorem
• Scattering theory for systems with different spatial asymptotics on the left and right
• Spectral analysis of the Laplacian in distorted periodic waveguides
• Quantum-mechanical scattering by impenetrable periodic surfaces
• Scattering from infinite sheets
• A LOCAL CRITERION FOR THE EXISTENCE OF WAVE OPERATORS
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