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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.08835 |
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Table of Contents:
- We study the Fröhlich polaron in the regime of strong coupling and prove the asymptotically sharp lower bound on the effective mass $m_{\mathrm{eff}}(α)\geq α^4 m_{\mathrm{LP}}-Cα^{4-ε}$, where $m_{\mathrm{LP}}$ is an explicit constant. Together with the corresponding upper bound, which has been verified recently in [5], we confirm the validity of the celebrated Landau-Pekar formula [12] from 1948 for the effective mass $\underset{α\rightarrow \infty}{\lim}α^{-4}m_{\mathrm{eff}}(α)=m_{\mathrm{LP}}$ as conjectured by Spohn [25] in 1987.