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math.AP2023
Convergence of states for polaron models in the classical limit
Marco Falconi, Alessandro Olgiati, Nicolas Rougerie
We consider the quasi-classical limit of Nelson-type regularized polaron models describing a particle interacting with a quantized bosonic field. We break translation-invariance by…
math.AP2020
The Hartree functional in a double well
Alessandro Olgiati, Nicolas Rougerie
We consider a non-linear Hartree energy for bosonic particles in a symmetric double-well potential. In the limit where the wells are fare apart and the potential barrier is high, w…