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math-ph2024
Derivation of renormalized Hartree-Fock-Bogoliubov and quantum Boltzmann equations in an interacting Bose gas
Thomas Chen, Michael Hott
Our previous work [37] presented a rigorous derivation of quantum Boltzmann equations near a Bose-Einstein condensate (BEC). Here, we extend it with a complete characterization of…
math-ph2021
On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein Condensate
Thomas Chen, Michael Hott
In this work, we study the quantum fluctuation dynamics in a Bose gas on a torus that exhibits Bose-Einstein condensation, beyond the leading order Hartree-Fock…