The effective mass problem for the Landau-Pekar equations

Abstract

We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar [10].

14 pages, final version to appear in Journal of Physics A

References in corpus (6)

• Ab initio theory of polarons: formalism and applications
• Polarons from first principles, without supercells
• Landau-Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
• A note on the Fröhlich dynamics in the strong coupling limit
• Persistence of the spectral gap for the Landau-Pekar equations
• The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics

Cited by in corpus (3)

• Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
• Ubiquity of bound states for the strongly coupled polaron
• The Fröhlich Polaron at Strong Coupling -- Part II: Energy-Momentum Relation and Effective Mass