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math.AP2014
Wigner measures and observability for the Schrödinger equation on the disk
Nalini Anantharaman, Matthieu Léautaud, Fabricio Macià
We analyse the structure of semiclassical and microlocal Wigner measures for solutions to the linear Schrödinger equation on the disk, with Dirichlet boundary conditions. Our appro…
math.AP2014★ 1 cited
Semiclassical Completely Integrable Systems : Long-Time Dynamics And Observability Via Two-Microlocal Wigner Measures
Nalini Anantharaman, Clotilde Fermanian Kammerer, Fabricio Macià
We look at the long-time behaviour of solutions to a semi-classical Schrödinger equation on the torus. We consider time scales which go to infinity when the semi-classical paramete…