307 citations · 1.2k across the 45 of their papers we have counts for
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math.AP2013★ 68 cited
Focusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation
Xuwen Chen, Justin Holmer
We consider the dynamics of N bosons in one dimension. We assume that the pair interaction is attractive and given by N^{β-1}V(N^β\cdot) where \int V\leqslant 0. We develop new tec…
math.AP2013★ 59 cited
On the Klainerman-Machedon Conjecture of the Quantum BBGKY Hierarchy with Self-interaction
Xuwen Chen, Justin Holmer
We consider the 3D quantum BBGKY hierarchy which corresponds to the -particle Schrödinger equation. We assume the pair interaction is For interaction pa…