The effective mass problem for the Landau-Pekar equations
Mathematical Physics
2022-07-07 v2 Analysis of PDEs
math.MP
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].
Cite
@article{arxiv.2107.03720,
title = {The effective mass problem for the Landau-Pekar equations},
author = {Dario Feliciangeli and Simone Rademacher and Robert Seiringer},
journal= {arXiv preprint arXiv:2107.03720},
year = {2022}
}
Comments
14 pages, final version to appear in Journal of Physics A