# On the dynamics of the mean-field polaron in the high-frequency limit

@article{Griesemer2017OnTD,
title={On the dynamics of the mean-field polaron in the high-frequency limit},
author={Marcel Griesemer and Jochen Schmid and Guido Schneider},
journal={Letters in Mathematical Physics},
year={2017},
volume={107},
pages={1809-1821}
}
• Published 4 September 2016
• Mathematics
• Letters in Mathematical Physics
We consider the dynamics of the mean-field polaron in the limit of infinite phonon frequency $$\omega \rightarrow \infty$$ω→∞. This is a singular limit formally leading to a Schrödinger–Poisson system that is equivalent to the nonlinear Choquard equation. By establishing estimates between the approximation obtained via the Choquard equation and true solutions of the original system we show that the Choquard equation makes correct predictions about the dynamics of the polaron mean-field model…
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