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Semiclassical limit of polaron dynamics with cutoff

Published 24 Sep 2025 in math-ph and math.MP | (2509.20033v1)

Abstract: We define and study the global well-posedness of a classical polaron dynamics and its derivation from the quantum dynamics of the Fr\"ohlich Hamiltonian from the viewpoint of Wigner measures. We make a crucial use of the Gross transform, allowing us to extract a diverging constant. Finally, we discuss the difficulty of defining the classical dynamics when removing the cutoff in our setting.

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Authors (1)

  1. Raphaël Gautier 

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