4.6 Article

The effective mass problem for the Landau-Pekar equations

Journal

Publisher

IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac3947

Keywords

polaron; effective mass; Landau-Pekar equations

Funding

  1. European Union's Horizon 2020 research and innovation programme under the ERC [694227]
  2. European Union's Horizon 2020 research and innovation programme under Marie Skodowska-Curie Grant [754411]

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We provide a definition of effective mass for the classical polaron based on a novel variational principle that minimizes the energy functional over states with given velocity. The resulting formula for the effective mass agrees with the prediction by Landau-Pekar equations.
We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar (LP) 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 LP (1948 J. Exp. Theor. Phys. 18 419-423).

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