QLunch: Morris Brooks

Speaker: Morris Brooks, ISTA

Title: The Fröhlich Polaron at strong coupling

Abstract: In this talk we will discuss recent results of Robert Seiringer and myself, concerning the ground state energy and the energy-momentum relation of the Fröhlich polaron, which is a model describing the interactions between a charged particle and a polarized medium. We especially verify a conjecture by Landau and Pekar from 1948, claiming that the energy-momentum relation asymptotically coincides with the one of a free particle having an increased mass M=alpha^4 m, where m is an explicit constant, in the regime of large couplings alpha between  the particle and the medium, and suitably small momenta.