Uniform in N estimates for a Bosonic system of Hartree–Fock–Bogoliubov type

DOI10.1080/03605302.2019.1645696zbMath1428.35423arXiv1808.06448OpenAlexW2965337039MaRDI QIDQ5239047

Manoussos G. Grillakis, Matei Machedon

Publication date: 21 October 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06448

zbMATH Keywords

mean field evolutionHartree-Fock-Bogoliubov equationsformation of correlations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (5)

Counterexamples to \(L^p\) collapsing estimates ⋮ Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS equation in R3 ⋮ Global estimates for the Hartree–Fock–Bogoliubov equations ⋮ Convergence rate towards the fractional Hartree equation with singular potentials in higher Sobolev trace norms ⋮ Dynamical Hartree-Fock-Bogoliubov approximation of interacting bosons

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