Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents)

DOI10.1007/BF01225255zbMath0698.35118MaRDI QIDQ912298

Johannes Sjöstrand, Christian Gérard

Publication date: 1988

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

zbMATH Keywords

Lyapunov exponentssemiclassical Schrödinger operatorresonance-free domains

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (10)

Semiclassical Quantum Maps of Semi-Hyperbolic Type ⋮ Spectral gaps for normally hyperbolic trapping ⋮ Geometric bounds on the density of resonances for semiclassical problems ⋮ Resolvent estimates for normally hyperbolic trapped sets ⋮ Upper bound on the density of Ruelle resonances for Anosov flows ⋮ Semiclassical resonances associated with a periodic orbit ⋮ Mathematical study of scattering resonances ⋮ Geometric control in the presence of a black box ⋮ Resonance projectors and asymptotics for 𝑟-normally hyperbolic trapped sets ⋮ Decay of correlations for normally hyperbolic trapping

Cites Work

• Semiclassical resonances generated by a closed trajectory of hyperbolic type
• On the location of the resonances for schrodinger
• Résonances en limite semi-classique
• Differentiable dynamical systems
• Invariant manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents)