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Open PDE & Analysis Seminar

Prof Fabricio Macià (Universidad Politécnica de Madrid)

High-frequency eigenfunctions of Schrödinger operators: concentration and non-concentration

Friday 22nd May 2020, 2pm (Paris time)

Abstract : In this talk we present quantitative results describing concentration and oscillation effects developed by sequences of eigenfunctions of Schrödinger operators whose corresponding eigenvalues tend to infinity. We focus on operators whose underlying classical flow is completely integrable and particularly on the effect that small perturbations have on those high-energy eigenstates, and more precisely, on their semiclassical microlocal defect measures.

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Thomas Alazard (ENS Paris-Saclay)         Nicolas Burq (Orsay)         Iván Moyano (Nice)