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math-ph2025
Semiclassical limit of entropies and free energies
Zied Ammari, Michele Correggi, Marco Falconi +1
Entropy and free energy are central concepts in both statistical physics and information theory, with quantum and classical facets. In mathematics these concepts appear quite often…
math-ph2025
Wigner measure approach to the derivation of the Landau-Pekar equations in the mean-field limit
Raphaël Gautier
We provide a rigorous derivation of the Landau-Pekar equations from the Fröhlich Hamiltonian in the mean-field limit using Wigner measure techniques. On the classical side, we exte…
math-ph2025
Semiclassical limit of polaron dynamics with cutoff
Raphaël Gautier
We define and study the global well-posedness of a classical polaron dynamics and its derivation from the quantum dynamics of the Fröhlich Hamiltonian from the viewpoint of Wigner…