Rate of Convergence to Mean Field for Interacting Bosons
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Publication:3467553
DOI10.1080/03605302.2015.1053568zbMath1332.81291OpenAlexW1514033091MaRDI QIDQ3467553
Publication date: 3 February 2016
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605302.2015.1053568
NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)
Related Items (12)
On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type ⋮ Bohr's Correspondence Principle for the Renormalized Nelson Model ⋮ Strong semiclassical limits from Hartree and Hartree-Fock to Vlasov-Poisson equations ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Pair excitations and the mean field approximation of interacting Bosons, II ⋮ The rigorous derivation of the \(\mathbb{T}^2\) focusing cubic NLS from 3D ⋮ Uniform in \(N\) global well-posedness of the time-dependent Hartree-Fock-Bogoliubov equations in \(\mathbb {R}^{1+1}\) ⋮ The derivation of the \(\mathbb{T}^{3}\) energy-critical NLS from quantum many-body dynamics ⋮ Evolution of the Boson gas at zero temperature: Mean-field limit and second-order correction ⋮ Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS equation in R3 ⋮ 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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- Second-order corrections to mean field evolution of weakly interacting bosons. I
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