The Ground State Energy of a Polaron in a Strong Magnetic Field

Abstract

We show that the ground state of a polaron in a homogeneous magnetic field B and its energy are described by an effective one-dimensional minimization problem in the limit $${B\to\infty}$$B→∞. This holds both in the linear Fröhlich and in the non-linear Pekar model and makes rigorous an argument of Kochetov, Leschke and Smondyrev.