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math-ph2025
Adiabatic Klein-Gordon Dynamics for the Renormalized Nelson Model
Morris Brooks, David Mitrouskas
We study the renormalized Nelson model in a semiclassical regime where the field becomes classical while the particle remains quantum. The degree of classicality is measured by a s…
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^…