Quantum-mechanical scattering by impenetrable periodic surfaces

DOI10.1063/1.525168zbMath0488.35064OpenAlexW2011133997MaRDI QIDQ3949413

Albert W. Sáenz

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.525168

zbMATH Keywords

Dirichlet conditionsasymptotic completenesswave operatorshomogeneous Neumann conditionscattering by periodic surfacesnoncompact surfacesdirect-integral methods

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Quantum scattering theory (81U99)

Related Items

Scattering for Schrödinger operators with potentials concentrated near a subspace ⋮ Quantum-mechanical scattering in exterior domains with impenetrable periodic boundaries and short-range potentials ⋮ On the Laplacian in the halfspace with a periodic boundary condition ⋮ Scattering theory for high order operators in domains with infinite boundary ⋮ Scattering by periodic surfaces

Cites Work

• Spectral analysis of the Laplacian in domains with cylinders
• A generalization of the Birman trace theorem
• Scattering theory for systems with different spatial asymptotics on the left and right
• Spectral analysis of the Laplacian in distorted periodic waveguides
• Scattering from infinite sheets
• A quasi-periodic boundary value problem for the Laplacian and the continuation of its resolvent
• The principle of limiting absorption
• A LOCAL CRITERION FOR THE EXISTENCE OF WAVE OPERATORS