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math-ph2024
Proof of the Landau-Pekar Formula for the effective Mass of the Polaron at strong coupling
Morris Brooks
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^…
math-ph2024
Second order energy expansion of Bose gases with three-body interactions
Morris Brooks
We provide a second order energy expansion for a gas of bosonic particles with three-body interactions in the Gross-Pitaevskii regime. We especially confirm a conjecture by Nam…