| Second order corrections to mean field evolution for weakly interacting bosons in the case of three-body interactions X Chen Archive for Rational Mechanics and Analysis 203 (2), 455-497, 2012 | 92 | 2012 |
| Focusing quantum many-body dynamics: the rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation X Chen, J Holmer Archive for Rational Mechanics and Analysis 221, 631-676, 2016 | 70 | 2016 |
| On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction X Chen, J Holmer Journal of the European Mathematical Society 18 (6), 1161-1200, 2016 | 68 | 2016 |
| On the rigorous derivation of the 3D cubic nonlinear Schrödinger equation with a quadratic trap X Chen Archive for Rational Mechanics and Analysis 210 (2), 365-408, 2013 | 60 | 2013 |
| Correlation structures, many-body scattering processes, and the derivation of the Gross–Pitaevskii hierarchy X Chen, J Holmer International Mathematics Research Notices 2016 (10), 3051-3110, 2016 | 59 | 2016 |
| Collapsing estimates and the rigorous derivation of the 2d cubic nonlinear Schrödinger equation with anisotropic switchable quadratic traps X Chen Journal de Mathématiques pures et appliquëes 98 (4), 450-478, 2012 | 48 | 2012 |
| Focusing quantum many-body dynamics, II: The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D X Chen, J Holmer Analysis & PDE 10 (3), 589-633, 2017 | 45 | 2017 |
| On the rigorous derivation of the 2D cubic nonlinear Schrödinger equation from 3D quantum many-body dynamics X Chen, J Holmer Archive for Rational Mechanics and Analysis 210, 909-954, 2013 | 43 | 2013 |
| The rigorous derivation of the 2D cubic focusing NLS from quantum many-body evolution X Chen, J Holmer International Mathematics Research Notices 2017 (14), 4173-4216, 2017 | 41 | 2017 |
| On the unconditional uniqueness of solutions to the infinite radial Chern–Simons–Schrödinger hierarchy X Chen, P Smith Analysis & PDE 7 (7), 1683-1712, 2014 | 37 | 2014 |
| The derivation of the energy-critical NLS from quantum many-body dynamics X Chen, J Holmer Inventiones mathematicae 217, 433-547, 2019 | 36 | 2019 |
| Classical Proofs Of Kato Type Smoothing Estimates for The Schrödinger Equation with Quadratic Potential in with application X Chen | 19 | 2011 |
| On the weak coupling limit of quantum many-body dynamics and the quantum Boltzmann equation X Chen, Y Guo arXiv preprint arXiv:1412.1775, 2014 | 16 | 2014 |
| Approach to equilibrium of a body colliding specularly and diffusely with a sea of particles X Chen, W Strauss Archive for Rational Mechanics and Analysis 211, 879-910, 2014 | 14 | 2014 |
| Unconditional uniqueness for the energy-critical nonlinear Schrödinger equation on X Chen, J Holmer Forum of Mathematics, Pi 10, 2022 | 12 | 2022 |
| The unconditional uniqueness for the energy-supercritical NLS X Chen, S Shen, Z Zhang Annals of PDE 8 (2), 14, 2022 | 9 | 2022 |
| A Secondary Operator Ordering Problem for a Charged Rigid Planar Rotator in Uniform Magnetic Field YP Xiao, MM Lai, JX Hou, XW Chen, QH Liu Communications in Theoretical Physics 44 (1), 49, 2005 | 9 | 2005 |
| Quantitative derivation and scattering of the 3D cubic NLS in the energy space X Chen, J Holmer Annals of PDE 8 (2), 11, 2022 | 8 | 2022 |
| Velocity reversal criterion of a body immersed in a sea of particles X Chen, W Strauss Communications in Mathematical Physics 338, 139-168, 2015 | 8 | 2015 |
| The derivation of the compressible Euler equation from quantum many-body dynamics X Chen, S Shen, J Wu, Z Zhang Peking Mathematical Journal 7 (1), 35-90, 2024 | 5 | 2024 |
Justin HolmerBrown UniversityVerified email at math.brown.edu
