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 $B\to \infty$. This holds both in the linear Fröhlich and in the non-linear Pekar model and makes rigorous an argument of Kochetov, Leschke and Smondyrev.

26 pages

Cited by in corpus (1)

• On the ground-state wave function of the one-dimensional polaron in the strong-coupling limit