Scattering, Homogenization, and Interface Effects for Oscillatory Potentials with Strong Singularities

DOI10.1137/100811672zbMath1258.34172arXiv1010.2694OpenAlexW2036840443MaRDI QIDQ2905613

Vincent Duchêne, Michael I. Weinstein

Publication date: 28 August 2012

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2694

zbMATH Keywords

Schrödinger operatorhomogenizationtransmission coefficientinterface corrector

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Scattering theory for PDEs (35P25) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (11)

Scattering resonances for highly oscillatory potentials ⋮ Resonances for random highly oscillatory potentials ⋮ Oscillatory and Localized Perturbations of Periodic Structures and the Bifurcation of Defect Modes ⋮ Mathematical Models of Topologically Protected Transport in Twisted Bilayer Graphene ⋮ Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials ⋮ Resonances for Schrödinger operators on infinite cylinders and other products ⋮ Bound States for Rapidly Oscillatory Schrödinger Operators in Dimension 2 ⋮ Scattering and Localization Properties of Highly Oscillatory Potentials ⋮ Defect modes for dislocated periodic media ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ Defect Resonances of Truncated Crystal Structures

Uses Software

• MATLAB ODE suite

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