Semiclassical diffraction by conormal potential singularities
DOI10.24033/asens.2543arXiv1806.01813OpenAlexW2805281894MaRDI QIDQ6142378
Publication date: 21 December 2023
Published in: Annales Scientifiques de l École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.01813
Schrödinger equationdiffractionsemiclassical analysispropagation of singularitiesconormal distributions
Singularities in algebraic geometry (14B05) Diffraction, scattering (78A45) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Hypersurfaces and algebraic geometry (14J70) Reflection groups, reflection geometries (51F15) Propagation of singularities; initial value problems on manifolds (58J47) Wave front sets in context of PDEs (35A18)
Cites Work
- Propagation of singularities for rough metrics
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- The analysis of linear partial differential operators. IV: Fourier integral operators
- Oscillatory integrals with singular symbols
- Transformation of boundary problems
- A parametrix construction for wave equations with \(C^{1,1}\) coefficients
- Recovering singularities of a potential from singularities of scattering data
- The global non-linear stability of the Kerr-de Sitter family of black holes
- Propagation of singularities for the wave equation on manifolds with corners
- Wigner measure propagation and conical singularity for general initial data
- Estimates for singular Radon transforms and pseudodifferential operators with singular symbols
- Singularities of boundary value problems. II
- Microlocal Regularity Theorems for Nonsmooth Pseudodifferential Operators and Applications to Nonlinear Problems
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Singularities of boundary value problems. I
- Lagrangian Intersection and the Cauchy Problem
- Propagation des ondes dans les variétés à coins
- Semiclassical analysis of the Schrödinger equation with conical singularities
- A semi-classical picture of quantum scattering
- Quantum Monodromy and nonconcentration near a closed semi-hyperbolic orbit
- Mathematical Theory of Scattering Resonances
- Diffraction from conormal singularities
- Energy Transport by Acoustic Modes of Harmonic Lattices
- A Phase Space Transform Adapted to the Wave Equation
- On the Problems of Geodesics in the Small
- Propagation of singularities in many-body scattering in the presence of bound states
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