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Einladung zum Vortrag (Zoom) von Frau Prof. Dr. Sabine Bögli (Durham University) am 01.12.2021 - 14:30 Uhr im Rahmen des Forschungsseminars Analysis

[01.12.2021]

Im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 1. Dezember 2021, um 14:30 Uhr,

Frau Prof. Dr. Sabine Bögli (Durham University)

einen Vortrag zum Thema

On the discrete eigenvalues of Schrödinger operators with complex potentials.

Abstract: In this talk I shall present constructions of Schrödinger operators with complex-valued potentials whose spectra exhibit interesting properties. One example shows that for sufficiently large $p$, namely $p>(d+1)/2$ where $d$ is the dimension, the discrete eigenvalues need not be bounded by the $L^p$ norm of the potential. This is a counterexample to the Laptev-Safronov conjecture (Comm. Math. Phys. 2009).
Another construction proves optimality (in some sense) of generalisations of Lieb-Thirring inequalities to the non-selfadjoint case - thus giving us information about the accumulation rate of the discrete eigenvalues to the essential spectrum.

This talk is based on joint works with Jean-Claude Cuenin and Frantisek Stampach.

Der Vortrag findet im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn Dr. Täufer (matthias.taeufer@fernuni-hagen.de) melden.

mathinf.webteam | 15.11.2021