Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances
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Publication:407785
DOI10.5802/aif.2643zbMath1246.35033arXiv0908.3444OpenAlexW2962932397MaRDI QIDQ407785
Thierry Ramond, Jean-François Bony, Setsuro Fujiié, Maher Zerzeri
Publication date: 28 March 2012
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.3444
Scattering theory for PDEs (35P25) Asymptotic expansions of solutions to PDEs (35C20) Schrödinger operator, Schrödinger equation (35J10) (S)-matrix theory, etc. in quantum theory (81U20) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Resonance in context of PDEs (35B34)
Related Items
Semiclassical estimates of the cut-off resolvent for trapping perturbations ⋮ Semiclassical asymptotic distribution of resonances created by homoclinic and heteroclinic trajectories ⋮ Resolvent estimates for normally hyperbolic trapped sets ⋮ Barrier-top resonances for non globally analytic potentials ⋮ Applications of resonance theory without analyticity assumption ⋮ Resonance projectors and asymptotics for 𝑟-normally hyperbolic trapped sets
Cites Work
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- Wave decay on convex co-compact hyperbolic manifolds
- Semiclassical non-concentration near hyperbolic orbits
- Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric
- On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains
- Semiclassical resonances generated by a closed trajectory of hyperbolic type
- Space-time picture of semiclassical resonances
- From quasimodes to resonances
- Resonance expansions of propagators in the presence of potential barriers.
- Resonance wave expansions: Two hyperbolic examples
- Resonance free domains for non globally analytic potentials
- Microlocalization of resonant states and estimates of the residue of the scattering amplitude
- Semiclassical study of quantum scattering on the line
- Microlocal propagation near radial points and scattering for symbolic potentials of order zero
- Microlocal kernel of pseudodifferential operators at a hyperbolic fixed point
- Semiclassical scattering amplitude at the maximum point of the potential
- Diophantine tori and spectral asymptotics for nonselfadjoint operators
- Multiple Wells in the Semi-Classical Limit III - Interaction Through Non-Resonant Wells
- On the location of the resonances for schrodinger
- Résonances en limite semi-classique
- Complex Scaling and the Distribution of Scattering Poles
- Geometric control in the presence of a black box
- Semi-classical estimate of the residues of the scattering amplitude for long-range potentials
- Resonance expansions in semi-classical propagation.
