The Grillakis-Machedon-Margetis Second order corrections to mean field evolution for weakly interacting Bosons in the case of 3-body interactions

Abstract

This note shows that, with a little modification, the results in arXiv:0904.0158 hold in the 3-body interactions case.

First Version

References in corpus (2)

• Second-order corrections to mean field evolution for weakly interacting Bosons. I
• Quantum Fluctuations and Rate of Convergence towards Mean Field Dynamics

Cited by in corpus (11)

• Pair excitations and the mean field approximation of interacting Bosons, I
• Rate of Convergence Towards Hartree Dynamics
• Focusing Quantum Many-body Dynamics: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schrödinger Equation
• On the Rigorous Derivation of the 3D Cubic Nonlinear Schrödinger Equation with A Quadratic Trap
• On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy
• On the rigorous derivation of the 2D cubic nonlinear Schrödinger equation from 3D quantum many-body dynamics
• The Dirac-Frenkel Principle for Reduced Density Matrices, and the Bogoliubov-de-Gennes Equations
• Beyond mean field: On the role of pair excitations in the evolution of condensates
• Randomization and the Gross-Pitaevskii hierarchy
• Uniform in $N$ Global Well-posedness of the Time-Dependent Hartree-Fock-Bogoliubov Equations in ${\mathbb{R}}^{1+1}$
• Analysis of fluctuations around non linear effective dynamics