Scattering resonances for highly oscillatory potentials

zbMath1408.35107arXiv1509.04198MaRDI QIDQ4962332

Alexis Drouot

Publication date: 2 November 2018

Full work available at URL: https://arxiv.org/abs/1509.04198

zbMATH Keywords

asymptotic expansionsscattering resonanceshighly oscillatory potentials

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Estimates of eigenvalues in context of PDEs (35P15) Scattering theory for PDEs (35P25)

Related Items (7)

Resonances for random highly oscillatory potentials ⋮ Stochastic stability of Pollicott-Ruelle resonances ⋮ Resonances for Schrödinger operators on infinite cylinders and other products ⋮ Wavepackets in inhomogeneous periodic media: Effective particle-field dynamics and Berry curvature ⋮ Bound States for Rapidly Oscillatory Schrödinger Operators in Dimension 2 ⋮ Dirac Operators and Domain Walls ⋮ Defect modes for dislocated periodic media

Cites Work

• Unnamed Item
• Unnamed Item
• Resonances for large one-dimensional ``ergodic systems
• Heat traces and existence of scattering resonances for bounded potentials
• Nonselfadjoint operators, infinite determinants, and some applications
• Sharp polynomial bounds on the number of scattering poles
• Some singular perturbations of periodic operators
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Notes on infinite determinants of Hilbert space operators
• On the Lambert \(w\) function
• On the convergence and optimization of the Baker-Campbell-Hausdorff formula
• Homogenized description of defect modes in periodic structures with localized defects
• Schrödinger operators with complex-valued potentials and no resonances
• Resonances for “Large” Ergodic Systems in One Dimension: A Review
• Scattering, Homogenization, and Interface Effects for Oscillatory Potentials with Strong Singularities
• Bound States for Rapidly Oscillatory Schrödinger Operators in Dimension 2
• Semi-classical Asymptotics for the Schrödinger Operator with Oscillating Decaying Potential
• Existence of resonances in potential scattering
• Scattering Resonances of Microstructures and Homogenization Theory

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