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Einladung zum Vortrag (Zoom) von Herrn Dr. Antoine Prouff (Universität Paris-Saclay) am 25.10.2023 - 14:30 Uhr im Rahmen des Forschungsseminars Analysis
[25.10.2023]Sehr geehrte Damen und Herren,
im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 25. Oktober 2023, um 14:30 Uhr,
Herr Dr. Antoine Prouff (Universität Paris-Saclay)
einen Vortrag zum Thema:
Observability of the Schrödinger equation with confining potential
Abstract: We consider the Schrödinger equation with a subquadratic confining potential V, in the Euclidean space. Observability inequalities allow to quantify the localisation properties of solutions in an open set U, over some time interval [0, T]. We will give a characterization of the open sets U and times T for which such an inequality holds (up to slightly enlarging U). The observability condition that we find is the result of some form of quantum-classical correspondence: any trajectory of the underlying classical mechanics has to spend a sufficient time in the open set U. This dynamical condition can change dramatically according to the shape of the potential. To illustrate this, we shall take a closer look at the example of harmonic oscillators, where the potential V is quadratic, and see why the arithmetic properties of the oscillator's characteristic frequencies matter in this problem.
Der Vortrag findet im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn Dr. Matthias Täufer (matthias.taeufer) melden.
