Jacky J. Chong

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All published works
Action Title Year Authors
+ Global Uniform in N Estimates for Solutions of a System of Hartree–Fock–Bogoliubov Type in the Case $$\beta <1$$ 2024 Jacky J. Chong
Xiaoyi Dong
Manoussos G. Grillakis
Matei Machedon
Zengqin Zhao
+ PDF Chat Derivation of the compressible Euler equations from the dynamics of interacting Bose gas in the hard-core limit regime 2024 Jacky J. Chong
Shunlin Shen
Zhifei Zhang
+ From many-body quantum dynamics to the Hartree–Fock and Vlasov equations with singular potentials 2024 Jacky J. Chong
Laurent Laflèche
Chiara Saffirio
+ PDF Chat Semiclassical Limit of the Bogoliubov–de Gennes Equation 2024 Jacky J. Chong
Laurent Laflèche
Chiara Saffirio
+ PDF Chat On the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup></mml:math> rate of convergence in the limit from the Hartree to the Vlasov–Poisson equation 2023 Jacky J. Chong
Laurent Laflèche
Chiara Saffirio
+ On the Semiclassical Regularity of Thermal Equilibria 2023 Jacky J. Chong
Laurent Laflèche
Chiara Saffirio
+ Global-in-time Semiclassical Regularity for the Hartree-Fock Equation 2022 Jacky J. Chong
Laurent Laflèche
Chiara Saffirio
+ On the $L^2$ Rate of Convergence in the Limit from the Hartree to the Vlasov$\unicode{x2013}$Poisson Equation 2022 Jacky J. Chong
Laurent Laflèche
Chiara Saffirio
+ Global uniform in $N$ estimates for solutions of a system of Hartree-Fock-Bogoliubov type in the case $β&lt;1$ 2022 Jacky J. Chong
Xin Dong
Manossos Grillakis
Matei Machedon
Zehua Zhao
+ On the semiclassical regularity of thermal equilibria 2022 Jacky J. Chong
Laurent Laflèche
Chiara Saffirio
+ PDF Chat Dynamical Hartree–Fock–Bogoliubov Approximation of Interacting Bosons 2021 Jacky J. Chong
Zehua Zhao
+ PDF Chat Global estimates for the Hartree–Fock–Bogoliubov equations 2021 Jacky J. Chong
Manoussos G. Grillakis
Matei Machedon
Zehua Zhao
+ Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS equation in R3 2021 Jacky J. Chong
+ From Schr\"odinger to Hartree--Fock and Vlasov equations with Singular potentials 2021 Jacky J. Chong
Laurent Laflèche
Chiara Saffirio
+ From many-body quantum dynamics to the Hartree-Fock and Vlasov equations with singular potentials 2021 Jacky J. Chong
Laurent Laflèche
Chiara Saffirio
+ Global estimates for the Hartree-Fock-Bogoliubov equations 2020 Jacky J. Chong
Manoussos G. Grillakis
Matei Machedon
Zehua Zhao
+ PDF Chat Uniform in N global well-posedness of the time-dependent Hartree–Fock–Bogoliubov equations in $$\mathbb {R}^{1+1}$$ R 1 + 1 2018 Jacky J. Chong
+ Dynamical Hartree-Fock-Bogoliubov Approximation of Interacting Bosons 2017 Jacky J. Chong
+ Dynamical Hartree-Fock-Bogoliubov Approximation of Interacting Bosons 2017 Jacky J. Chong
Zehua Zhao
+ Dynamics of Large Boson Systems with Attractive Interaction and a Derivation of the Cubic Focusing NLS in $\mathbb{R}^3$ 2016 Jacky J. Chong
+ PDF Chat Detection of gravitational waves —An application of relativistic quantum information theory 2007 Ye Yeo
Zhi Han Lim
Chee Leong Ching
Jacky J. Chong
Wee Kang Chua
Andreas Dewanto
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Second-Order Corrections to Mean Field Evolution of Weakly Interacting Bosons. I. 2009 Manoussos G. Grillakis
Matei Machedon
Dionisios Margetis
8
+ PDF Chat Quantum Many-Body Fluctuations Around Nonlinear Schrödinger Dynamics 2016 Chiara Boccato
Serena Cenatiempo
Benjamin Schlein
8
+ PDF Chat Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics 2009 Igor Rodnianski
Benjamin Schlein
8
+ PDF Chat Beyond mean field: On the role of pair excitations in the evolution of condensates 2013 Manoussos G. Grillakis
Matei Machedon
6
+ PDF Chat Derivation of the Gross‐Pitaevskii hierarchy for the dynamics of Bose‐Einstein condensate 2006 László Erdős
Benjamin Schlein
Horng‐Tzer Yau
5
+ PDF Chat Pair excitations and the mean field approximation of interacting Bosons, II 2016 Manoussos G. Grillakis
Matei Machedon
5
+ PDF Chat The time-dependent Hartree–Fock–Bogoliubov equations for Bosons 2022 Volker Bach
Sébastien Breteaux
Thomas Chen
Jürg Fröhlich
Israel Michael Sigal
5
+ PDF Chat Uniform in <i>N</i> estimates for a Bosonic system of Hartree–Fock–Bogoliubov type 2019 Manoussos G. Grillakis
Matei Machedon
5
+ PDF Chat Derivation of the nonlinear Schrödinger equation from a many-body Coulomb system 2001 László Erdős
Horng‐Tzer Yau
5
+ PDF Chat Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate 2010 László Erdős
Benjamin Schlein
Horng‐Tzer Yau
5
+ PDF Chat The classical limit for quantum mechanical correlation functions 1974 K. Hepp
4
+ PDF Chat Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems 2006 László Erdős
Benjamin Schlein
Horng‐Tzer Yau
4
+ Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential 2009 László Erdős
Benjamin Schlein
Horng‐Tzer Yau
4
+ Second-order corrections to mean field evolution of weakly interacting Bosons. II 2011 Manoussos G. Grillakis
Matei Machedon
Dionisios Margetis
4
+ Correlation Structures, Many-Body Scattering Processes, and the Derivation of the Gross–Pitaevskii Hierarchy 2015 Xuwen Chen
Justin Holmer
4
+ PDF Chat Quantitative Derivation of the Gross‐Pitaevskii Equation 2014 Niels Benedikter
Gustavo de Oliveira
Benjamin Schlein
4
+ PDF Chat Rate of Convergence Towards Hartree Dynamics 2011 Li Chen
Ji Oon Lee
Benjamin Schlein
4
+ Nonlinear Dispersive Equations 2006 Terence Tao
4
+ PDF Chat Pair Excitations and the Mean Field Approximation of Interacting Bosons, I 2013 Manoussos G. Grillakis
Matei Machedon
4
+ PDF Chat Endpoint Strichartz estimates 1998 M. Keel
Terence Tao
4
+ Dynamical Hartree-Fock-Bogoliubov Approximation of Interacting Bosons 2017 Jacky J. Chong
3
+ PDF Chat On the Dynamics of Large Particle Systems in the Mean Field Limit 2016 François Golse
3
+ Mathematics of Quantization and Quantum Fields 2022 Jan Dereziński
Christian Gérard
3
+ PDF Chat The Dirac–Frenkel Principle for Reduced Density Matrices, and the Bogoliubov–de Gennes Equations 2018 Niels Benedikter
Jérémy Sok
Jan Philip Solovej
3
+ PDF Chat Second Order Corrections to Mean Field Evolution for Weakly Interacting Bosons in The Case of Three-body Interactions 2011 Xuwen Chen
3
+ PDF Chat Bogoliubov Spectrum of Interacting Bose Gases 2014 Mathieu Lewin
Phan Thành Nam
Sylvia Serfaty
Jan Philip Solovej
3
+ PDF Chat Gross–Pitaevskii dynamics for Bose–Einstein condensates 2019 Christian Brennecke
Benjamin Schlein
3
+ The Mathematics of the Bose Gas and its Condensation 2005 Elliott H. Lieb
3
+ PDF Chat Strichartz inequality for orthonormal functions 2014 Rupert L. Frank
Mathieu Lewin
Élliott H. Lieb
Robert Seiringer
3
+ PDF Chat Bogoliubov correction to the mean-field dynamics of interacting bosons 2017 Phan Thành Nam
Marcin Napiórkowski
3
+ Norm approximation for many-body quantum dynamics: Focusing case in low dimensions 2019 Phan Thành Nam
Marcin Napiórkowski
3
+ PDF Chat Fluctuations of $N$-particle quantum dynamics around the nonlinear Schrödinger equation 2018 Christian Brennecke
Phan Thành Nam
Marcin Napiórkowski
Benjamin Schlein
3
+ PDF Chat Exact Evolution versus mean field with second-order correction for Bosons interacting via short-range two-body potential 2017 Elif Kuz
3
+ PDF Chat The quintic NLS as the mean field limit of a boson gas with three-body interactions 2010 Thomas Chen
Nataša Pavlović
3
+ Scattering in the energy space and below for 3D NLS 1998 Jean Bourgain
3
+ PDF Chat Derivation of the Time Dependent Two Dimensional Focusing NLS Equation 2018 Maximilian Jeblick
Peter Pickl
2
+ PDF Chat Focusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation 2016 Xuwen Chen
Justin Holmer
2
+ PDF Chat Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons 2005 Alexander Elgart
László Erdős
Benjamin Schlein
Horng‐Tzer Yau
2
+ PDF Chat Strichartz estimates for $N$-body Schrödinger operators with small potential interactions 2017 Younghun Hong
2
+ PDF Chat Global semiclassical limit from Hartree to Vlasov equation for concentrated initial data 2021 Laurent Laflèche
2
+ PDF Chat Mean Field Evolution of Fermions with Coulomb Interaction 2017 Marcello Porta
Simone Rademacher
Chiara Saffirio
Benjamin Schlein
2
+ Harmonic Analysis in Phase Space. (AM-122) 1989 Gerald B. Folland
2
+ PDF Chat The Rigorous Derivation of the 2D Cubic Focusing NLS from Quantum Many-Body Evolution 2016 Xuwen Chen
Justin Holmer
2
+ Decay estimates for Schrödinger operators 1991 Jean-Lin Journé
Avy Soffer
Christopher D. Sogge
2
+ PDF Chat Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy 2012 Tao Chen
Nina Pavlović
Nikolaos Tzirakis
2
+ Dynamics of Large Boson Systems with Attractive Interaction and a Derivation of the Cubic Focusing NLS in $\mathbb{R}^3$ 2016 Jacky J. Chong
2
+ PDF Chat Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons 2020 Lea Boßmann
Nataša Pavlović
Peter Pickl
Avy Soffer
2
+ PDF Chat Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics 2011 Kay Kirkpatrick
Benjamin Schlein
Gigliola Staffilani
2
+ PDF Chat On the Klainerman–Machedon conjecture for the quantum BBGKY hierarchy with self-interaction 2016 Xuwen Chen
Justin Holmer
2
+ PDF Chat From the Hartree Dynamics to the Vlasov Equation 2016 Niels Benedikter
Marcello Porta
Chiara Saffirio
Benjamin Schlein
2