Mathematik
The effective mass of the Fröhlich polaron at strong coupling
Mathematisches Kolloquium im Sommersemester 2025
Wann?
11. Juni 2025, 17:15-19:00
Wo?
Hörsaal der Kernphysik
S2|14 24
Schlossgartenstr. 9
64289 Darmstadt
Veranstalter
FB Mathematik
Kontakt
Dr. Morris Brooks, Universität Zürich
In this talk we investigate the Fröhlich polaron in the strong coupling limit, which is a model describing the interactions of a charged particle, e.g. an electron, with a polarizable environment. Notably, the model is simple enough to allow for rigorous mathematical proofs, while giving rise to a multitude of interesting and non-trivial phenomena, such as an effectively increased mass of the electron. In particular, we will discuss a recent proof concerning the validity of the celebrated Landau-Pekar formula for the effective mass of the Fröhlich polaron at strong couplings, which has been an outstanding open problem in mathematical physics conjectured by Spohn in 1987.
Tags
Mathematisches Kolloquium, Mathematik, Numerik, Stochastik