11.01.2025, 11:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis
Exploring quantum fields on rotating black holes
Christiane Klein (York University, UK)
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.)
For a general class of difference operators <tex>H_\varepsilon = T_\varepsilon + V_\varepsilon</tex> on <tex>\ell^2(\varepsilon\mathbf{Z}^d)</tex>.
where <tex>V_\varepsilon</tex> is a multi-well potential and <tex>\varepsilon</tex> is a small parameter, we analyze the asymptotic behavior as<tex> \varepsilon\to 0</tex> of the (low-lying) eigenvalues and eigenfunctions.
We show that the first n eigenvalues of <tex>H_\varepsilon</tex> converge to the first n eigenvalues of the direct sum of harmonic oscillators on <tex>\mathbf{R}^d</tex> located at the several wells. Our proof is microlocal.