Traveling waves and effective mass for the regularized Landau-Pekar equations
Mathematical Physics
2024-02-05 v2 Analysis of PDEs
math.MP
Abstract
We consider the regularized Landau-Pekar equations with positive speed of sound and prove the existence of subsonic traveling waves. We provide a definition of the effective mass for the regularized Landau-Pekar equations based on the energy-velocity expansion of subsonic traveling waves. Moreover we show that this definition of the effective mass agrees with the definition based on an energy-momentum expansion of low energy states.
Keywords
Cite
@article{arxiv.2211.08198,
title = {Traveling waves and effective mass for the regularized Landau-Pekar equations},
author = {Simone Rademacher},
journal= {arXiv preprint arXiv:2211.08198},
year = {2024}
}
Comments
31 pages, minor changes