The 3/2 kT problem in the low‐temperature polaron mobility theories

The linear de mobility of Fröhlich polarons is studied in the limit of small electron‐phonon coupling and low temperature. The well‐known discrepancy with a factor of 3/2 kT / h ω LO between the results appearing in the literature is understood in the light of an interchange of the limits limits lim lim.\documentclass{article}\pagestyle{empty}\begin{document}$$ \alpha \to 0\ \omega \to 0 $$\end{document}