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Published August 2015 | public
Journal Article Open

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 Fröhlich and in the non-linear Pekar model and makes rigorous an argument of Kochetov, Leschke and Smondyrev.

Additional Information

© 2015 The Author(s). This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 11 March 2013. Accepted: 28 June 2013. Published online: 1 May 2015. Communicated by H. Spohn. Work partially supported by NSF grants PHY-1068285 (R.L.F.) and PHY-1122309 (L.G.) and DFG grant GE 2369/1-1 (L.G.).

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