Stability and Absence of Binding for Multi-Polaron System
Professor Robert Seiringer, Princeton University

The polaron is a model of an electron interacting with the quantized polarization field of a dielectric crystal. We prove stability of matter for such systems, i.e., we show that the energy per particle is bounded, independently of the number of particles. We also show that if the coupling constant of the electron-phonon interaction is sufficiently small, polarons do not bind. (This is joint work with R. Frank, E. Lieb and L. Thomas.)