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Mathematical foundations of phonons in incommensurate materials
Michael Hott, Alexander B. Watson, Mitchell Luskin
In some models, periodic configurations can be shown to be stable under, both, global or local perturbations. This is not the case for aperiodic media. The specific class…
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…