08.10.2024, 10:15 - 11:45
– 3.06.H02
Kálmán Lecture
7th Kálmán Lecture with Martin Burger
Martin Burger, Helmholtz Imaging
Der AHP-Preis 2015 wurde an Ira Herbst und Juliane Rama für ihre Arbeit
"Instability for Pre-existing Resonances under a small constant Electric Field"
verliehen. (Dieser Preis wird jedes Jahr für den bemerkenswertesten Artikel in der Zeitschrift Annales Henri Poincaré verliehen.)
Two simple model operators are considered which have pre-existing resonances. A potential corresponding to a small electric field, f, is then introduced and the resonances of the resulting operator are considered as<tex> <tex>f\to 0</tex>. </tex>
It is shown that these resonances are not continuous in this limit. It is conjectured that a similar behavior will appear in more complicated models of atoms and molecules. Numerical results are presented.