Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling
Brooks M, Mitrouskas DJ. 2025. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. 6(1), 281–325.
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Abstract
We consider the confined Fröhlich polaron and establish an asymptotic series for the low-energy eigenvalues in negative powers of the coupling constant. The coefficients of the series are derived through a two-fold perturbation approach, involving expansions around the electron Pekar minimizer and the excitations of the quantum field.
Publishing Year
Date Published
2025-02-23
Journal Title
Probability and Mathematical Physics
Publisher
Mathematical Sciences Publishers
Acknowledgement
M.B. gratefully acknowledges funding from the ERC Advanced Grant ERC-AdG CLaQS, grant agreement n. 83478.
Volume
6
Issue
1
Page
281-325
ISSN
eISSN
IST-REx-ID
Cite this
Brooks M, Mitrouskas DJ. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. 2025;6(1):281-325. doi:10.2140/pmp.2025.6.281
Brooks, M., & Mitrouskas, D. J. (2025). Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. Mathematical Sciences Publishers. https://doi.org/10.2140/pmp.2025.6.281
Brooks, Morris, and David Johannes Mitrouskas. “ Asymptotic Series for Low-Energy Excitations of the Fröhlich Polaron at Strong Coupling.” Probability and Mathematical Physics. Mathematical Sciences Publishers, 2025. https://doi.org/10.2140/pmp.2025.6.281.
M. Brooks and D. J. Mitrouskas, “ Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling,” Probability and Mathematical Physics, vol. 6, no. 1. Mathematical Sciences Publishers, pp. 281–325, 2025.
Brooks M, Mitrouskas DJ. 2025. Asymptotic series for low-energy excitations of the Fröhlich polaron at strong coupling. Probability and Mathematical Physics. 6(1), 281–325.
Brooks, Morris, and David Johannes Mitrouskas. “ Asymptotic Series for Low-Energy Excitations of the Fröhlich Polaron at Strong Coupling.” Probability and Mathematical Physics, vol. 6, no. 1, Mathematical Sciences Publishers, 2025, pp. 281–325, doi:10.2140/pmp.2025.6.281.
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arXiv 2306.16373