The effective mass problem for the Landau-Pekar equations

Autor: Feliciangeli, Dario, Rademacher, Simone, Seiringer, Robert
Rok vydání: 2021
Předmět:
Zdroj: J. Phys. A: Math. Theor. 55 015201 (2022)
Druh dokumentu: Working Paper
DOI: 10.1088/1751-8121/ac3947
Popis: 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].
Comment: 14 pages, final version to appear in Journal of Physics A
Databáze: arXiv