68 citations · 577 across the 31 of their papers we have counts for
5 papers · 2 filters
On the Weak Coupling Limit of Quantum Many-body Dynamics and the Quantum Boltzmann Equation
Xuwen Chen, Yan Guo
The rigorous derivation of the Uehling-Uhlenbeck equation from more fundamental quantum many-particle systems is a challenging open problem in mathematics. In this paper, we exam t…
Correlation structures, Many-body Scattering Processes and the Derivation of the Gross-Pitaevskii Hierarchy
Xuwen Chen, Justin Holmer
We consider the dynamics of bosons in three dimensions. We assume the pair interaction is given by . By studying an associated many-body wave operator,…
Focusing Quantum Many-body Dynamics II: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation from 3D
Xuwen Chen, Justin Holmer
We consider the focusing 3D quantum many-body dynamic which models a dilute bose gas strongly confined in two spatial directions. We assume that the microscopic pair interaction is…
On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy
Xuwen Chen, Paul Smith
In this article we establish the unconditional uniqueness of solutions to an Infinite Radial Chern-Simons-Schrödinger (IRCSS) hierarchy in two spatial dimensions. The IRCSS hierarc…
Velocity Reversal Criterion of a Body Immersed in a Sea of Particles
Xuwen Chen, Walter Strauss
We consider a rigid body colliding with a continuum of particles. We assume that the body is moving at a velocity close to an equilibrium velocity V_{\infty} and that the particles…