The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass
Brooks M, Seiringer R. 2024. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques.
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We study the Fröhlich polaron model in R3, 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 α4 for large coupling constant α.
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2024-08-26
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Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
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Brooks M, Seiringer R. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques. 2024. doi:10.1007/s10240-024-00150-0
Brooks, M., & Seiringer, R. (2024). The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques. Springer Nature. https://doi.org/10.1007/s10240-024-00150-0
Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part II — Energy-Momentum Relation and Effective Mass.” Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques. Springer Nature, 2024. https://doi.org/10.1007/s10240-024-00150-0.
M. Brooks and R. Seiringer, “The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass,” Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques. Springer Nature, 2024.
Brooks M, Seiringer R. 2024. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques.
Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part II — Energy-Momentum Relation and Effective Mass.” Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques, Springer Nature, 2024, doi:10.1007/s10240-024-00150-0.
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arXiv 2211.03353