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math-ph2024
Quantum-classical motion of charged particles interacting with scalar fields
Shahnaz Farhat
The goal of this article is to investigate the dynamics of semi-relativistic or non-relativistic charged particles in interaction with a scalar meson field. Our main contribution i…
math-ph2024
Expansion of the Many-body Quantum Gibbs State of the Bose-Hubbard Model on a Finite Graph
Zied Ammari, Shahnaz Farhat, Sören Petrat
We consider the many-body quantum Gibbs state for the Bose-Hubbard model on a finite graph at positive temperature. We scale the interaction with the inverse temperature, correspon…