The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass
Year: 2024
Type: article
Abstract: We study the Fröhlich polaron model in 𝐑 3 , and prove a lower bound on its ground state energy as a function of the total momentum. The bound is asymptotically sharp at large coupling. In combination with a corresponding upper bound proved earlier (Mitrouskas et al. in Forum Math. Sigma 11:1–52, 2023), it shows that the energy is approximately parabolic below the continuum threshold, and that the polaron’s effective mass (defined as the semi-latus rectum of the parabola) is given by the celebrated Landau–Pekar formula. In particular, it diverges as α 4 for large coupling constant α .
Authors: Morris Brooks, Robert Seiringer
Institution: Institute of Science and Technology Austria
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,390
OpenAlex ID: W4401885595