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∞. This holds both in the linear Fr\"ohlich and in the non-linear Pekar model and makes rigorous an argument of Kochetov, Leschke and Smondyrev.
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