Two scale analysis of a bounded family in \(L^2\) on a submanifold of the phase space.

DOI10.1016/j.crma.2005.01.002zbMath1067.35083OpenAlexW4302040945MaRDI QIDQ1775069

Clotilde Fermanian-Kammerer

Publication date: 4 May 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.01.002

zbMATH Keywords

Schrödinger equationsymplectic formcotangent spaceWigner measuresymplectic submanifolds

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Geometric quantization (53D50)

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Two-microlocal regularity of quasimodes on the torus ⋮ Sharp polynomial energy decay for locally undamped waves ⋮ Effective mass theorems with Bloch modes crossings ⋮ Energy decay for a locally undamped wave equation ⋮ Wigner measures and effective mass theorems ⋮ Quantum mean-field asymptotics and multiscale analysis ⋮ Observability and controllability for the Schrödinger equation on quotients of groups of Heisenberg type ⋮ Stabilization of wave equations on the torus with rough dampings

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