78 citations · 481 across the 48 of their papers we have counts for
49 papers
Trapped bosons in mean field QED, nonlinear resonance cascades and dynamical BEC formation
Thomas Chen, Ali Mezher
In this paper, we study a system of bosons trapped in a confining potential, interacting with a quantized field of coherent photons in the mean field description of non-relativisti…
Quantum Boltzmann dynamics and bosonized particle-hole interactions in fermion gases
Esteban Cárdenas, Thomas Chen
In this paper, we study a cold gas of weakly interacting fermions. We describe the time evolution of states that are perturbations of the Fermi ball, and analyze the dyna…
On an critical Boltzmann equation
Thomas Chen, Ryan Denlinger, Nataša Pavlović
We prove the existence of a class of large global scattering solutions of Boltzmann's equation with constant collision kernel in two dimensions. These solutions are found for …
Small data global well-posedness for a Boltzmann equation via bilinear spacetime estimates
Thomas Chen, Ryan Denlinger, Nataša Pavlović
We provide a new analysis of the Boltzmann equation with constant collision kernel in two space dimensions. The scaling-critical Lebesgue space is ; we prove global well…
On the Hartree-Fock-Bogoliubov equations
Volker Bach, Sébastien Breteaux, Thomas Chen +2
We review some results of our paper arXiv:1602.05171v2 on the "nonlinear quasifree approximation" to the many-body Schrödinger dynamics of Bose gases. In that paper, we derive, wit…
Moments and Regularity for a Boltzmann Equation via Wigner Transform
Thomas Chen, Ryan Denlinger, Natasa Pavlovic
In this paper, we continue our study of the Boltzmann equation by use of tools originating from the analysis of dispersive equations in quantum dynamics. Specifically, we focus on…